Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [169,2,Mod(12,169)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(169, base_ring=CyclotomicField(26))
chi = DirichletCharacter(H, H._module([21]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("169.12");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 169 = 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 169.h (of order \(26\), degree \(12\), 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: | \(1.34947179416\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{26})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{26}]$ |
Embedding invariants
Embedding label | 12.1 | ||
Character | \(\chi\) | \(=\) | 169.12 |
Dual form | 169.2.h.a.155.1 |
$q$-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 \(\left(\mathbb{Z}/169\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{21}{26}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.11580 | + | 1.46043i | −1.49610 | + | 1.03268i | −0.511216 | + | 0.859452i | \(0.670805\pi\) |
−0.984881 | + | 0.173229i | \(0.944580\pi\) | |||||||
\(3\) | 0.527540 | + | 0.276874i | 0.304575 | + | 0.159853i | 0.610086 | − | 0.792335i | \(-0.291135\pi\) |
−0.305511 | + | 0.952189i | \(0.598827\pi\) | |||||||
\(4\) | 1.63454 | − | 4.30994i | 0.817272 | − | 2.15497i | ||||
\(5\) | 0.267437 | + | 0.301873i | 0.119601 | + | 0.135002i | 0.805262 | − | 0.592920i | \(-0.202025\pi\) |
−0.685660 | + | 0.727922i | \(0.740486\pi\) | |||||||
\(6\) | −1.52053 | + | 0.184625i | −0.620752 | + | 0.0753729i | ||||
\(7\) | −1.09769 | − | 4.45349i | −0.414887 | − | 1.68326i | −0.691577 | − | 0.722302i | \(-0.743084\pi\) |
0.276691 | − | 0.960959i | \(-0.410762\pi\) | |||||||
\(8\) | 1.60549 | + | 6.51374i | 0.567628 | + | 2.30296i | ||||
\(9\) | −1.50256 | − | 2.17683i | −0.500852 | − | 0.725609i | ||||
\(10\) | −1.00671 | − | 0.248131i | −0.318349 | − | 0.0784660i | ||||
\(11\) | −3.52993 | − | 2.43653i | −1.06431 | − | 0.734642i | −0.0988292 | − | 0.995104i | \(-0.531510\pi\) |
−0.965484 | + | 0.260462i | \(0.916125\pi\) | |||||||
\(12\) | 2.05560 | − | 1.82110i | 0.593400 | − | 0.525706i | ||||
\(13\) | 2.38617 | − | 2.70299i | 0.661805 | − | 0.749676i | ||||
\(14\) | 8.82651 | + | 7.81961i | 2.35898 | + | 2.08988i | ||||
\(15\) | 0.0575024 | + | 0.233296i | 0.0148471 | + | 0.0602369i | ||||
\(16\) | −6.00930 | − | 5.32377i | −1.50232 | − | 1.33094i | ||||
\(17\) | 0.317199 | − | 0.0781826i | 0.0769321 | − | 0.0189621i | −0.200662 | − | 0.979661i | \(-0.564309\pi\) |
0.277594 | + | 0.960699i | \(0.410463\pi\) | |||||||
\(18\) | 6.35822 | + | 2.41135i | 1.49865 | + | 0.568362i | ||||
\(19\) | 7.41697i | 1.70157i | 0.525514 | + | 0.850785i | \(0.323873\pi\) | ||||
−0.525514 | + | 0.850785i | \(0.676127\pi\) | |||||||
\(20\) | 1.73819 | − | 0.659209i | 0.388672 | − | 0.147404i | ||||
\(21\) | 0.653983 | − | 2.65331i | 0.142711 | − | 0.579001i | ||||
\(22\) | 11.0270 | 2.35097 | ||||||||
\(23\) | 4.72712 | 0.985672 | 0.492836 | − | 0.870122i | \(-0.335960\pi\) | ||||
0.492836 | + | 0.870122i | \(0.335960\pi\) | |||||||
\(24\) | −0.956526 | + | 3.88078i | −0.195250 | + | 0.792161i | ||||
\(25\) | 0.583078 | − | 4.80208i | 0.116616 | − | 0.960416i | ||||
\(26\) | −1.10113 | + | 9.20384i | −0.215949 | + | 1.80502i | ||||
\(27\) | −0.405391 | − | 3.33870i | −0.0780176 | − | 0.642533i | ||||
\(28\) | −20.9885 | − | 2.54846i | −3.96645 | − | 0.481614i | ||||
\(29\) | 1.32739 | + | 1.92306i | 0.246491 | + | 0.357103i | 0.926627 | − | 0.375982i | \(-0.122695\pi\) |
−0.680136 | + | 0.733086i | \(0.738079\pi\) | |||||||
\(30\) | −0.462377 | − | 0.409631i | −0.0844182 | − | 0.0747880i | ||||
\(31\) | −6.98666 | + | 0.848334i | −1.25484 | + | 0.152365i | −0.720830 | − | 0.693112i | \(-0.756239\pi\) |
−0.534011 | + | 0.845477i | \(0.679316\pi\) | |||||||
\(32\) | 7.16995 | + | 0.870590i | 1.26748 | + | 0.153900i | ||||
\(33\) | −1.18756 | − | 2.26271i | −0.206728 | − | 0.393888i | ||||
\(34\) | −0.556950 | + | 0.628667i | −0.0955161 | + | 0.107815i | ||||
\(35\) | 1.05083 | − | 1.52239i | 0.177623 | − | 0.257331i | ||||
\(36\) | −11.8380 | + | 2.91780i | −1.97300 | + | 0.486300i | ||||
\(37\) | 5.68052 | − | 0.689740i | 0.933871 | − | 0.113392i | 0.360565 | − | 0.932734i | \(-0.382584\pi\) |
0.573306 | + | 0.819341i | \(0.305661\pi\) | |||||||
\(38\) | −10.8320 | − | 15.6928i | −1.75718 | − | 2.54571i | ||||
\(39\) | 2.00719 | − | 0.765267i | 0.321408 | − | 0.122541i | ||||
\(40\) | −1.53696 | + | 2.22667i | −0.243014 | + | 0.352067i | ||||
\(41\) | 0.952870 | − | 1.81554i | 0.148813 | − | 0.283540i | −0.799626 | − | 0.600498i | \(-0.794969\pi\) |
0.948440 | + | 0.316958i | \(0.102661\pi\) | |||||||
\(42\) | 2.49129 | + | 6.56899i | 0.384414 | + | 1.01362i | ||||
\(43\) | −0.0711358 | + | 0.585856i | −0.0108481 | + | 0.0893422i | −0.997127 | − | 0.0757435i | \(-0.975867\pi\) |
0.986279 | + | 0.165086i | \(0.0527901\pi\) | |||||||
\(44\) | −16.2711 | + | 11.2311i | −2.45296 | + | 1.69316i | ||||
\(45\) | 0.255288 | − | 1.03574i | 0.0380561 | − | 0.154400i | ||||
\(46\) | −10.0016 | + | 6.90363i | −1.47466 | + | 1.01789i | ||||
\(47\) | −3.13944 | + | 1.19063i | −0.457935 | + | 0.173672i | −0.572776 | − | 0.819712i | \(-0.694133\pi\) |
0.114841 | + | 0.993384i | \(0.463364\pi\) | |||||||
\(48\) | −1.69613 | − | 4.47232i | −0.244815 | − | 0.645524i | ||||
\(49\) | −12.4305 | + | 6.52402i | −1.77578 | + | 0.932002i | ||||
\(50\) | 5.77944 | + | 11.0118i | 0.817336 | + | 1.55730i | ||||
\(51\) | 0.188982 | + | 0.0465798i | 0.0264628 | + | 0.00652248i | ||||
\(52\) | −7.74944 | − | 14.7024i | −1.07465 | − | 2.03886i | ||||
\(53\) | 2.89798 | − | 0.714288i | 0.398068 | − | 0.0981149i | −0.0351996 | − | 0.999380i | \(-0.511207\pi\) |
0.433268 | + | 0.901265i | \(0.357361\pi\) | |||||||
\(54\) | 5.73367 | + | 6.47198i | 0.780254 | + | 0.880725i | ||||
\(55\) | −0.208507 | − | 1.71721i | −0.0281151 | − | 0.231548i | ||||
\(56\) | 27.2466 | − | 14.3001i | 3.64098 | − | 1.91093i | ||||
\(57\) | −2.05357 | + | 3.91275i | −0.272002 | + | 0.518256i | ||||
\(58\) | −5.61700 | − | 2.13025i | −0.737548 | − | 0.279715i | ||||
\(59\) | −1.98420 | − | 2.23970i | −0.258321 | − | 0.291584i | 0.605015 | − | 0.796214i | \(-0.293167\pi\) |
−0.863335 | + | 0.504631i | \(0.831629\pi\) | |||||||
\(60\) | 1.09948 | + | 0.133501i | 0.141943 | + | 0.0172350i | ||||
\(61\) | 5.12017 | + | 1.26201i | 0.655570 | + | 0.161583i | 0.553051 | − | 0.833148i | \(-0.313464\pi\) |
0.102519 | + | 0.994731i | \(0.467310\pi\) | |||||||
\(62\) | 13.5435 | − | 11.9985i | 1.72002 | − | 1.52380i | ||||
\(63\) | −8.04515 | + | 9.08109i | −1.01359 | + | 1.14411i | ||||
\(64\) | −2.22415 | + | 1.16732i | −0.278019 | + | 0.145915i | ||||
\(65\) | 1.45411 | − | 0.00255734i | 0.180360 | − | 0.000317199i | ||||
\(66\) | 5.81719 | + | 3.05310i | 0.716047 | + | 0.375810i | ||||
\(67\) | 10.2403 | − | 3.88365i | 1.25106 | − | 0.474463i | 0.361965 | − | 0.932192i | \(-0.382106\pi\) |
0.889092 | + | 0.457728i | \(0.151337\pi\) | |||||||
\(68\) | 0.181514 | − | 1.49490i | 0.0220118 | − | 0.181283i | ||||
\(69\) | 2.49374 | + | 1.30882i | 0.300211 | + | 0.157563i | ||||
\(70\) | 4.75574i | 0.568419i | ||||||||
\(71\) | 3.85918 | − | 7.35306i | 0.458001 | − | 0.872647i | −0.541489 | − | 0.840708i | \(-0.682139\pi\) |
0.999490 | − | 0.0319395i | \(-0.0101684\pi\) | |||||||
\(72\) | 11.7670 | − | 13.2821i | 1.38675 | − | 1.56532i | ||||
\(73\) | 4.85815 | + | 3.35334i | 0.568604 | + | 0.392479i | 0.817394 | − | 0.576078i | \(-0.195418\pi\) |
−0.248791 | + | 0.968557i | \(0.580033\pi\) | |||||||
\(74\) | −11.0115 | + | 9.75536i | −1.28006 | + | 1.13404i | ||||
\(75\) | 1.63717 | − | 2.37185i | 0.189044 | − | 0.273878i | ||||
\(76\) | 31.9667 | + | 12.1234i | 3.66683 | + | 1.39065i | ||||
\(77\) | −6.97632 | + | 18.3951i | −0.795026 | + | 2.09631i | ||||
\(78\) | −3.12920 | + | 4.55052i | −0.354312 | + | 0.515245i | ||||
\(79\) | −0.0582887 | − | 0.153695i | −0.00655800 | − | 0.0172920i | 0.931697 | − | 0.363236i | \(-0.118328\pi\) |
−0.938255 | + | 0.345944i | \(0.887559\pi\) | |||||||
\(80\) | − | 3.23782i | − | 0.361999i | ||||||
\(81\) | −2.10330 | + | 5.54593i | −0.233700 | + | 0.616215i | ||||
\(82\) | 0.635393 | + | 5.23293i | 0.0701674 | + | 0.577880i | ||||
\(83\) | −1.42817 | − | 2.72115i | −0.156762 | − | 0.298685i | 0.794390 | − | 0.607408i | \(-0.207791\pi\) |
−0.951152 | + | 0.308723i | \(0.900098\pi\) | |||||||
\(84\) | −10.3667 | − | 7.15559i | −1.13109 | − | 0.780739i | ||||
\(85\) | 0.108432 | + | 0.0748451i | 0.0117611 | + | 0.00811809i | ||||
\(86\) | −0.705094 | − | 1.34344i | −0.0760322 | − | 0.144867i | ||||
\(87\) | 0.167807 | + | 1.38201i | 0.0179908 | + | 0.148167i | ||||
\(88\) | 10.2037 | − | 26.9049i | 1.08772 | − | 2.86807i | ||||
\(89\) | − | 3.71704i | − | 0.394006i | −0.980403 | − | 0.197003i | \(-0.936879\pi\) | ||
0.980403 | − | 0.197003i | \(-0.0631208\pi\) | |||||||
\(90\) | 0.972496 | + | 2.56426i | 0.102510 | + | 0.270297i | ||||
\(91\) | −14.6570 | − | 7.65976i | −1.53647 | − | 0.802961i | ||||
\(92\) | 7.72668 | − | 20.3736i | 0.805562 | − | 2.12409i | ||||
\(93\) | −3.92062 | − | 1.48690i | −0.406550 | − | 0.154184i | ||||
\(94\) | 4.90360 | − | 7.10409i | 0.505767 | − | 0.732731i | ||||
\(95\) | −2.23899 | + | 1.98357i | −0.229715 | + | 0.203510i | ||||
\(96\) | 3.54139 | + | 2.44445i | 0.361442 | + | 0.249485i | ||||
\(97\) | 7.01212 | − | 7.91505i | 0.711973 | − | 0.803652i | −0.275523 | − | 0.961295i | \(-0.588851\pi\) |
0.987496 | + | 0.157643i | \(0.0503895\pi\) | |||||||
\(98\) | 16.7725 | − | 31.9574i | 1.69428 | − | 3.22818i | ||||
\(99\) | 11.3451i | 1.14022i | ||||||||
\(100\) | −19.7436 | − | 10.3622i | −1.97436 | − | 1.03622i | ||||
\(101\) | −2.03905 | + | 16.7931i | −0.202893 | + | 1.67097i | 0.434682 | + | 0.900584i | \(0.356861\pi\) |
−0.637575 | + | 0.770388i | \(0.720062\pi\) | |||||||
\(102\) | −0.467875 | + | 0.177442i | −0.0463265 | + | 0.0175693i | ||||
\(103\) | −8.41005 | − | 4.41394i | −0.828667 | − | 0.434918i | −0.00362769 | − | 0.999993i | \(-0.501155\pi\) |
−0.825039 | + | 0.565075i | \(0.808847\pi\) | |||||||
\(104\) | 21.4376 | + | 11.2033i | 2.10213 | + | 1.09857i | ||||
\(105\) | 0.975864 | − | 0.512173i | 0.0952346 | − | 0.0499830i | ||||
\(106\) | −5.08838 | + | 5.74359i | −0.494227 | + | 0.557867i | ||||
\(107\) | −10.7888 | + | 9.55808i | −1.04300 | + | 0.924014i | −0.997188 | − | 0.0749361i | \(-0.976125\pi\) |
−0.0458080 | + | 0.998950i | \(0.514586\pi\) | |||||||
\(108\) | −15.0522 | − | 3.71004i | −1.44840 | − | 0.356999i | ||||
\(109\) | 6.21099 | + | 0.754151i | 0.594905 | + | 0.0722346i | 0.412451 | − | 0.910980i | \(-0.364673\pi\) |
0.182454 | + | 0.983214i | \(0.441596\pi\) | |||||||
\(110\) | 2.94903 | + | 3.32876i | 0.281179 | + | 0.317385i | ||||
\(111\) | 3.18767 | + | 1.20892i | 0.302560 | + | 0.114746i | ||||
\(112\) | −17.1131 | + | 32.6062i | −1.61703 | + | 3.08100i | ||||
\(113\) | 6.00418 | − | 3.15124i | 0.564826 | − | 0.296443i | −0.158039 | − | 0.987433i | \(-0.550517\pi\) |
0.722865 | + | 0.690989i | \(0.242825\pi\) | |||||||
\(114\) | −1.36936 | − | 11.2777i | −0.128252 | − | 1.05625i | ||||
\(115\) | 1.26420 | + | 1.42699i | 0.117888 | + | 0.133068i | ||||
\(116\) | 10.4580 | − | 2.57765i | 0.970997 | − | 0.239329i | ||||
\(117\) | −9.46931 | − | 1.13289i | −0.875438 | − | 0.104735i | ||||
\(118\) | 7.46909 | + | 1.84097i | 0.687586 | + | 0.169475i | ||||
\(119\) | −0.696371 | − | 1.32682i | −0.0638362 | − | 0.121630i | ||||
\(120\) | −1.42731 | + | 0.749112i | −0.130295 | + | 0.0683843i | ||||
\(121\) | 2.62304 | + | 6.91639i | 0.238458 | + | 0.628763i | ||||
\(122\) | −12.6763 | + | 4.80750i | −1.14766 | + | 0.435250i | ||||
\(123\) | 1.00535 | − | 0.693946i | 0.0906497 | − | 0.0625710i | ||||
\(124\) | −7.76373 | + | 31.4987i | −0.697204 | + | 2.82867i | ||||
\(125\) | 3.26510 | − | 2.25373i | 0.292039 | − | 0.201580i | ||||
\(126\) | 3.75961 | − | 30.9632i | 0.334933 | − | 2.75842i | ||||
\(127\) | 1.69508 | + | 4.46956i | 0.150414 | + | 0.396610i | 0.988952 | − | 0.148233i | \(-0.0473586\pi\) |
−0.838538 | + | 0.544843i | \(0.816589\pi\) | |||||||
\(128\) | −3.71197 | + | 7.07257i | −0.328095 | + | 0.625132i | ||||
\(129\) | −0.199735 | + | 0.289367i | −0.0175857 | + | 0.0254773i | ||||
\(130\) | −3.07288 | + | 2.12904i | −0.269509 | + | 0.186729i | ||||
\(131\) | −12.1194 | − | 17.5580i | −1.05888 | − | 1.53405i | −0.827725 | − | 0.561134i | \(-0.810365\pi\) |
−0.231155 | − | 0.972917i | \(-0.574250\pi\) | |||||||
\(132\) | −11.6933 | + | 1.41982i | −1.01777 | + | 0.123580i | ||||
\(133\) | 33.0314 | − | 8.14151i | 2.86419 | − | 0.705959i | ||||
\(134\) | −15.9947 | + | 23.1724i | −1.38173 | + | 2.00179i | ||||
\(135\) | 0.899448 | − | 1.01527i | 0.0774122 | − | 0.0873803i | ||||
\(136\) | 1.01852 | + | 1.94063i | 0.0873376 | + | 0.166408i | ||||
\(137\) | 15.3613 | + | 1.86520i | 1.31240 | + | 0.159354i | 0.746648 | − | 0.665220i | \(-0.231662\pi\) |
0.565754 | + | 0.824574i | \(0.308585\pi\) | |||||||
\(138\) | −7.18770 | + | 0.872745i | −0.611858 | + | 0.0742930i | ||||
\(139\) | 11.4342 | + | 10.1299i | 0.969839 | + | 0.859203i | 0.990068 | − | 0.140593i | \(-0.0449008\pi\) |
−0.0202281 | + | 0.999795i | \(0.506439\pi\) | |||||||
\(140\) | −4.84377 | − | 7.01742i | −0.409374 | − | 0.593080i | ||||
\(141\) | −1.98584 | − | 0.241124i | −0.167238 | − | 0.0203063i | ||||
\(142\) | 2.57338 | + | 21.1937i | 0.215953 | + | 1.77853i | ||||
\(143\) | −15.0090 | + | 3.72739i | −1.25511 | + | 0.311700i | ||||
\(144\) | −2.55963 | + | 21.0805i | −0.213303 | + | 1.75671i | ||||
\(145\) | −0.225528 | + | 0.915001i | −0.0187290 | + | 0.0759867i | ||||
\(146\) | −15.1762 | −1.25599 | ||||||||
\(147\) | −8.36390 | −0.689843 | ||||||||
\(148\) | 6.31232 | − | 25.6101i | 0.518869 | − | 2.10514i | ||||
\(149\) | 0.396349 | − | 0.150315i | 0.0324702 | − | 0.0123143i | −0.338316 | − | 0.941032i | \(-0.609857\pi\) |
0.370787 | + | 0.928718i | \(0.379088\pi\) | |||||||
\(150\) | 7.40934i | 0.604970i | ||||||||
\(151\) | 12.3213 | + | 4.67283i | 1.00269 | + | 0.380270i | 0.800666 | − | 0.599111i | \(-0.204479\pi\) |
0.202023 | + | 0.979381i | \(0.435248\pi\) | |||||||
\(152\) | −48.3122 | + | 11.9079i | −3.91864 | + | 0.965858i | ||||
\(153\) | −0.646799 | − | 0.573014i | −0.0522906 | − | 0.0463254i | ||||
\(154\) | −12.1042 | − | 49.1087i | −0.975385 | − | 3.95729i | ||||
\(155\) | −2.12458 | − | 1.88221i | −0.170650 | − | 0.151183i | ||||
\(156\) | −0.0174141 | − | 9.90173i | −0.00139425 | − | 0.792773i | ||||
\(157\) | −5.63448 | + | 4.99171i | −0.449680 | + | 0.398382i | −0.857339 | − | 0.514753i | \(-0.827884\pi\) |
0.407659 | + | 0.913134i | \(0.366345\pi\) | |||||||
\(158\) | 0.347788 | + | 0.240061i | 0.0276685 | + | 0.0190982i | ||||
\(159\) | 1.72657 | + | 0.425560i | 0.136926 | + | 0.0337491i | ||||
\(160\) | 1.65470 | + | 2.39725i | 0.130815 | + | 0.189519i | ||||
\(161\) | −5.18889 | − | 21.0522i | −0.408942 | − | 1.65914i | ||||
\(162\) | −3.64931 | − | 14.8058i | −0.286717 | − | 1.16325i | ||||
\(163\) | 15.3470 | − | 1.86346i | 1.20207 | − | 0.145957i | 0.505100 | − | 0.863061i | \(-0.331456\pi\) |
0.696967 | + | 0.717103i | \(0.254533\pi\) | |||||||
\(164\) | −6.26737 | − | 7.07440i | −0.489399 | − | 0.552417i | ||||
\(165\) | 0.365455 | − | 0.963626i | 0.0284507 | − | 0.0750182i | ||||
\(166\) | 6.99577 | + | 3.67166i | 0.542977 | + | 0.284976i | ||||
\(167\) | −8.77149 | + | 6.05453i | −0.678759 | + | 0.468513i | −0.856894 | − | 0.515493i | \(-0.827609\pi\) |
0.178135 | + | 0.984006i | \(0.442994\pi\) | |||||||
\(168\) | 18.3330 | 1.41442 | ||||||||
\(169\) | −1.61236 | − | 12.8996i | −0.124028 | − | 0.992279i | ||||
\(170\) | −0.338727 | −0.0259791 | ||||||||
\(171\) | 16.1455 | − | 11.1444i | 1.23467 | − | 0.852234i | ||||
\(172\) | 2.40873 | + | 1.26420i | 0.183664 | + | 0.0963942i | ||||
\(173\) | 3.24939 | − | 8.56795i | 0.247047 | − | 0.651409i | −0.752931 | − | 0.658100i | \(-0.771360\pi\) |
0.999978 | + | 0.00669062i | \(0.00212971\pi\) | |||||||
\(174\) | −2.37338 | − | 2.67899i | −0.179926 | − | 0.203094i | ||||
\(175\) | −22.0261 | + | 2.67445i | −1.66501 | + | 0.202169i | ||||
\(176\) | 8.24084 | + | 33.4344i | 0.621177 | + | 2.52021i | ||||
\(177\) | −0.426629 | − | 1.73090i | −0.0320674 | − | 0.130103i | ||||
\(178\) | 5.42849 | + | 7.86452i | 0.406882 | + | 0.589471i | ||||
\(179\) | 20.3458 | + | 5.01479i | 1.52072 | + | 0.374823i | 0.909183 | − | 0.416396i | \(-0.136707\pi\) |
0.611533 | + | 0.791219i | \(0.290553\pi\) | |||||||
\(180\) | −4.04672 | − | 2.79325i | −0.301624 | − | 0.208196i | ||||
\(181\) | −8.25204 | + | 7.31067i | −0.613369 | + | 0.543398i | −0.911591 | − | 0.411099i | \(-0.865145\pi\) |
0.298222 | + | 0.954497i | \(0.403607\pi\) | |||||||
\(182\) | 42.1979 | − | 5.19908i | 3.12792 | − | 0.385381i | ||||
\(183\) | 2.35167 | + | 2.08340i | 0.173841 | + | 0.154009i | ||||
\(184\) | 7.58935 | + | 30.7912i | 0.559495 | + | 2.26996i | ||||
\(185\) | 1.72739 | + | 1.53034i | 0.127000 | + | 0.112513i | ||||
\(186\) | 10.4668 | − | 2.57983i | 0.767461 | − | 0.189162i | ||||
\(187\) | −1.31018 | − | 0.496887i | −0.0958102 | − | 0.0363360i | ||||
\(188\) | 15.4769i | 1.12877i | ||||||||
\(189\) | −14.4239 | + | 5.47025i | −1.04918 | + | 0.397902i | ||||
\(190\) | 1.84038 | − | 7.46673i | 0.133515 | − | 0.541693i | ||||
\(191\) | −17.2485 | −1.24806 | −0.624029 | − | 0.781401i | \(-0.714505\pi\) | ||||
−0.624029 | + | 0.781401i | \(0.714505\pi\) | |||||||
\(192\) | −1.49653 | −0.108003 | ||||||||
\(193\) | −2.19100 | + | 8.88924i | −0.157712 | + | 0.639861i | 0.837862 | + | 0.545881i | \(0.183805\pi\) |
−0.995574 | + | 0.0939798i | \(0.970041\pi\) | |||||||
\(194\) | −3.27686 | + | 26.9874i | −0.235265 | + | 1.93758i | ||||
\(195\) | 0.767810 | + | 0.401257i | 0.0549840 | + | 0.0287346i | ||||
\(196\) | 7.79995 | + | 64.2384i | 0.557139 | + | 4.58845i | ||||
\(197\) | 9.71273 | + | 1.17934i | 0.692003 | + | 0.0840244i | 0.458980 | − | 0.888447i | \(-0.348215\pi\) |
0.233023 | + | 0.972471i | \(0.425138\pi\) | |||||||
\(198\) | −16.5687 | − | 24.0039i | −1.17749 | − | 1.70588i | ||||
\(199\) | 8.60326 | + | 7.62182i | 0.609869 | + | 0.540297i | 0.910535 | − | 0.413433i | \(-0.135670\pi\) |
−0.300666 | + | 0.953730i | \(0.597209\pi\) | |||||||
\(200\) | 32.2156 | − | 3.91169i | 2.27799 | − | 0.276598i | ||||
\(201\) | 6.47747 | + | 0.786507i | 0.456886 | + | 0.0554760i | ||||
\(202\) | −20.2109 | − | 38.5087i | −1.42204 | − | 2.70946i | ||||
\(203\) | 7.10727 | − | 8.02245i | 0.498833 | − | 0.563066i | ||||
\(204\) | 0.509655 | − | 0.738363i | 0.0356830 | − | 0.0516958i | ||||
\(205\) | 0.802896 | − | 0.197896i | 0.0560767 | − | 0.0138217i | ||||
\(206\) | 24.2403 | − | 2.94330i | 1.68890 | − | 0.205069i | ||||
\(207\) | −7.10275 | − | 10.2901i | −0.493676 | − | 0.715212i | ||||
\(208\) | −28.7294 | + | 3.53966i | −1.99202 | + | 0.245431i | ||||
\(209\) | 18.0717 | − | 26.1814i | 1.25005 | − | 1.81100i | ||||
\(210\) | −1.31674 | + | 2.50884i | −0.0908638 | + | 0.173126i | ||||
\(211\) | −4.34990 | − | 11.4698i | −0.299460 | − | 0.789610i | −0.997305 | − | 0.0733622i | \(-0.976627\pi\) |
0.697846 | − | 0.716248i | \(-0.254142\pi\) | |||||||
\(212\) | 1.65834 | − | 13.6576i | 0.113895 | − | 0.938011i | ||||
\(213\) | 4.07174 | − | 2.81052i | 0.278991 | − | 0.192574i | ||||
\(214\) | 8.86812 | − | 35.9794i | 0.606212 | − | 2.45950i | ||||
\(215\) | −0.195879 | + | 0.135205i | −0.0133588 | + | 0.00922093i | ||||
\(216\) | 21.0966 | − | 8.00088i | 1.43544 | − | 0.544391i | ||||
\(217\) | 11.4472 | + | 30.1838i | 0.777088 | + | 2.04901i | ||||
\(218\) | −14.2426 | + | 7.47510i | −0.964632 | + | 0.506278i | ||||
\(219\) | 1.63442 | + | 3.11412i | 0.110444 | + | 0.210433i | ||||
\(220\) | −7.74188 | − | 1.90820i | −0.521957 | − | 0.128651i | ||||
\(221\) | 0.545565 | − | 1.04394i | 0.0366987 | − | 0.0702233i | ||||
\(222\) | −8.51003 | + | 2.09753i | −0.571156 | + | 0.140777i | ||||
\(223\) | −3.60832 | − | 4.07296i | −0.241631 | − | 0.272745i | 0.615167 | − | 0.788397i | \(-0.289088\pi\) |
−0.856799 | + | 0.515651i | \(0.827550\pi\) | |||||||
\(224\) | −3.99320 | − | 32.8870i | −0.266807 | − | 2.19735i | ||||
\(225\) | −11.3294 | + | 5.94613i | −0.755294 | + | 0.396409i | ||||
\(226\) | −8.10149 | + | 15.4361i | −0.538903 | + | 1.02679i | ||||
\(227\) | −6.80998 | − | 2.58268i | −0.451994 | − | 0.171419i | 0.118094 | − | 0.993002i | \(-0.462322\pi\) |
−0.570088 | + | 0.821584i | \(0.693091\pi\) | |||||||
\(228\) | 13.5070 | + | 15.2463i | 0.894526 | + | 1.00971i | ||||
\(229\) | −1.50115 | − | 0.182273i | −0.0991991 | − | 0.0120450i | 0.0707866 | − | 0.997491i | \(-0.477449\pi\) |
−0.169986 | + | 0.985447i | \(0.554372\pi\) | |||||||
\(230\) | −4.75883 | − | 1.17295i | −0.313788 | − | 0.0773417i | ||||
\(231\) | −8.77340 | + | 7.77256i | −0.577248 | + | 0.511397i | ||||
\(232\) | −10.3952 | + | 11.7338i | −0.682479 | + | 0.770359i | ||||
\(233\) | −3.66500 | + | 1.92354i | −0.240102 | + | 0.126015i | −0.580483 | − | 0.814272i | \(-0.697136\pi\) |
0.340381 | + | 0.940288i | \(0.389444\pi\) | |||||||
\(234\) | 21.6897 | − | 11.4323i | 1.41790 | − | 0.747354i | ||||
\(235\) | −1.19902 | − | 0.629295i | −0.0782156 | − | 0.0410507i | ||||
\(236\) | −12.8962 | + | 4.89089i | −0.839472 | + | 0.318370i | ||||
\(237\) | 0.0118045 | − | 0.0972188i | 0.000766784 | − | 0.00631504i | ||||
\(238\) | 3.41112 | + | 1.79029i | 0.221110 | + | 0.116047i | ||||
\(239\) | 26.3416i | 1.70390i | 0.523626 | + | 0.851948i | \(0.324579\pi\) | ||||
−0.523626 | + | 0.851948i | \(0.675421\pi\) | |||||||
\(240\) | 0.896469 | − | 1.70808i | 0.0578668 | − | 0.110256i | ||||
\(241\) | −2.51536 | + | 2.83926i | −0.162029 | + | 0.182893i | −0.823918 | − | 0.566709i | \(-0.808216\pi\) |
0.661889 | + | 0.749602i | \(0.269755\pi\) | |||||||
\(242\) | −15.6508 | − | 10.8029i | −1.00607 | − | 0.694439i | ||||
\(243\) | −10.1973 | + | 9.03404i | −0.654158 | + | 0.579534i | ||||
\(244\) | 13.8083 | − | 20.0048i | 0.883986 | − | 1.28068i | ||||
\(245\) | −5.29379 | − | 2.00767i | −0.338208 | − | 0.128265i | ||||
\(246\) | −1.11367 | + | 2.93650i | −0.0710049 | + | 0.187225i | ||||
\(247\) | 20.0480 | + | 17.6982i | 1.27563 | + | 1.12611i | ||||
\(248\) | −16.7429 | − | 44.1473i | −1.06317 | − | 2.80336i | ||||
\(249\) | − | 1.83094i | − | 0.116031i | ||||||
\(250\) | −3.61687 | + | 9.53691i | −0.228751 | + | 0.603167i | ||||
\(251\) | −1.13249 | − | 9.32690i | −0.0714822 | − | 0.588709i | −0.983806 | − | 0.179238i | \(-0.942637\pi\) |
0.912323 | − | 0.409470i | \(-0.134286\pi\) | |||||||
\(252\) | 25.9888 | + | 49.5175i | 1.63714 | + | 3.11931i | ||||
\(253\) | −16.6864 | − | 11.5178i | −1.04906 | − | 0.724116i | ||||
\(254\) | −10.1139 | − | 6.98116i | −0.634606 | − | 0.438037i | ||||
\(255\) | 0.0364794 | + | 0.0695057i | 0.00228443 | + | 0.00435262i | ||||
\(256\) | −3.08076 | − | 25.3723i | −0.192547 | − | 1.58577i | ||||
\(257\) | 5.77264 | − | 15.2212i | 0.360087 | − | 0.949472i | −0.625488 | − | 0.780234i | \(-0.715100\pi\) |
0.985575 | − | 0.169238i | \(-0.0541308\pi\) | |||||||
\(258\) | − | 0.903943i | − | 0.0562770i | ||||||
\(259\) | −9.30718 | − | 24.5410i | −0.578320 | − | 1.52490i | ||||
\(260\) | 2.36579 | − | 6.27131i | 0.146720 | − | 0.388930i | ||||
\(261\) | 2.19169 | − | 5.77901i | 0.135662 | − | 0.357712i | ||||
\(262\) | 51.2846 | + | 19.4497i | 3.16837 | + | 1.20161i | ||||
\(263\) | 4.26654 | − | 6.18115i | 0.263086 | − | 0.381146i | −0.669072 | − | 0.743198i | \(-0.733308\pi\) |
0.932158 | + | 0.362052i | \(0.117924\pi\) | |||||||
\(264\) | 12.8321 | − | 11.3683i | 0.789762 | − | 0.699668i | ||||
\(265\) | 0.990650 | + | 0.683796i | 0.0608551 | + | 0.0420053i | ||||
\(266\) | −57.9978 | + | 65.4660i | −3.55607 | + | 4.01398i | ||||
\(267\) | 1.02915 | − | 1.96089i | 0.0629831 | − | 0.120004i | ||||
\(268\) | − | 50.4832i | − | 3.08376i | ||||||
\(269\) | 16.2068 | + | 8.50597i | 0.988145 | + | 0.518618i | 0.879723 | − | 0.475487i | \(-0.157728\pi\) |
0.108422 | + | 0.994105i | \(0.465420\pi\) | |||||||
\(270\) | −0.420325 | + | 3.46169i | −0.0255802 | + | 0.210672i | ||||
\(271\) | −16.5279 | + | 6.26820i | −1.00400 | + | 0.380766i | −0.801162 | − | 0.598447i | \(-0.795785\pi\) |
−0.202835 | + | 0.979213i | \(0.565015\pi\) | |||||||
\(272\) | −2.32237 | − | 1.21887i | −0.140814 | − | 0.0739051i | ||||
\(273\) | −5.61138 | − | 8.09898i | −0.339616 | − | 0.490173i | ||||
\(274\) | −35.2254 | + | 18.4877i | −2.12804 | + | 1.11688i | ||||
\(275\) | −13.7587 | + | 15.5303i | −0.829678 | + | 0.936513i | ||||
\(276\) | 9.71705 | − | 8.60855i | 0.584898 | − | 0.518174i | ||||
\(277\) | 13.3074 | + | 3.27997i | 0.799563 | + | 0.197074i | 0.617869 | − | 0.786281i | \(-0.287996\pi\) |
0.181693 | + | 0.983355i | \(0.441842\pi\) | |||||||
\(278\) | −38.9865 | − | 4.73382i | −2.33826 | − | 0.283916i | ||||
\(279\) | 12.3445 | + | 13.9341i | 0.739047 | + | 0.834212i | ||||
\(280\) | 11.6035 | + | 4.40065i | 0.693445 | + | 0.262989i | ||||
\(281\) | 14.3906 | − | 27.4191i | 0.858473 | − | 1.63568i | 0.0898746 | − | 0.995953i | \(-0.471353\pi\) |
0.768599 | − | 0.639731i | \(-0.220954\pi\) | |||||||
\(282\) | 4.55378 | − | 2.39001i | 0.271174 | − | 0.142323i | ||||
\(283\) | 0.804907 | + | 6.62901i | 0.0478468 | + | 0.394054i | 0.996883 | + | 0.0788881i | \(0.0251370\pi\) |
−0.949037 | + | 0.315166i | \(0.897940\pi\) | |||||||
\(284\) | −25.3832 | − | 28.6517i | −1.50622 | − | 1.70017i | ||||
\(285\) | −1.73035 | + | 0.426494i | −0.102497 | + | 0.0252633i | ||||
\(286\) | 26.3124 | − | 29.8060i | 1.55588 | − | 1.76246i | ||||
\(287\) | −9.13146 | − | 2.25070i | −0.539013 | − | 0.132855i | ||||
\(288\) | −8.87813 | − | 16.9159i | −0.523149 | − | 0.996776i | ||||
\(289\) | −14.9582 | + | 7.85070i | −0.879897 | + | 0.461806i | ||||
\(290\) | −0.859126 | − | 2.26533i | −0.0504496 | − | 0.133025i | ||||
\(291\) | 5.89065 | − | 2.23403i | 0.345316 | − | 0.130961i | ||||
\(292\) | 22.3936 | − | 15.4572i | 1.31048 | − | 0.904562i | ||||
\(293\) | −4.74195 | + | 19.2389i | −0.277028 | + | 1.12395i | 0.653265 | + | 0.757129i | \(0.273399\pi\) |
−0.930293 | + | 0.366817i | \(0.880448\pi\) | |||||||
\(294\) | 17.6964 | − | 12.2149i | 1.03207 | − | 0.712388i | ||||
\(295\) | 0.145458 | − | 1.19795i | 0.00846888 | − | 0.0697475i | ||||
\(296\) | 13.6128 | + | 35.8941i | 0.791229 | + | 2.08630i | ||||
\(297\) | −6.70385 | + | 12.7731i | −0.388997 | + | 0.741171i | ||||
\(298\) | −0.619070 | + | 0.896878i | −0.0358618 | + | 0.0519547i | ||||
\(299\) | 11.2797 | − | 12.7774i | 0.652323 | − | 0.738934i | ||||
\(300\) | −7.54650 | − | 10.9330i | −0.435697 | − | 0.631216i | ||||
\(301\) | 2.68719 | − | 0.326284i | 0.154887 | − | 0.0188067i | ||||
\(302\) | −32.8937 | + | 8.10756i | −1.89282 | + | 0.466538i | ||||
\(303\) | −5.72524 | + | 8.29445i | −0.328907 | + | 0.476504i | ||||
\(304\) | 39.4863 | − | 44.5708i | 2.26469 | − | 2.55631i | ||||
\(305\) | 0.988353 | + | 1.88315i | 0.0565929 | + | 0.107829i | ||||
\(306\) | 2.20535 | + | 0.267778i | 0.126071 | + | 0.0153078i | ||||
\(307\) | 1.61650 | − | 0.196279i | 0.0922585 | − | 0.0112022i | −0.0742772 | − | 0.997238i | \(-0.523665\pi\) |
0.166536 | + | 0.986035i | \(0.446742\pi\) | |||||||
\(308\) | 67.8784 | + | 60.1350i | 3.86773 | + | 3.42651i | ||||
\(309\) | −3.21453 | − | 4.65705i | −0.182868 | − | 0.264930i | ||||
\(310\) | 7.24403 | + | 0.879584i | 0.411433 | + | 0.0499570i | ||||
\(311\) | −1.03353 | − | 8.51185i | −0.0586059 | − | 0.482663i | −0.992231 | − | 0.124411i | \(-0.960296\pi\) |
0.933625 | − | 0.358252i | \(-0.116627\pi\) | |||||||
\(312\) | 8.20729 | + | 11.8457i | 0.464646 | + | 0.670630i | ||||
\(313\) | −2.21618 | + | 18.2519i | −0.125266 | + | 1.03166i | 0.785536 | + | 0.618816i | \(0.212387\pi\) |
−0.910802 | + | 0.412843i | \(0.864536\pi\) | |||||||
\(314\) | 4.63138 | − | 18.7902i | 0.261364 | − | 1.06039i | ||||
\(315\) | −4.89291 | −0.275684 | ||||||||
\(316\) | −0.757691 | −0.0426234 | ||||||||
\(317\) | 1.48875 | − | 6.04009i | 0.0836165 | − | 0.339245i | −0.914202 | − | 0.405258i | \(-0.867182\pi\) |
0.997819 | + | 0.0660128i | \(0.0210278\pi\) | |||||||
\(318\) | −4.27457 | + | 1.62113i | −0.239706 | + | 0.0909086i | ||||
\(319\) | − | 10.0225i | − | 0.561153i | ||||||
\(320\) | −0.947203 | − | 0.359227i | −0.0529503 | − | 0.0200814i | ||||
\(321\) | −8.33793 | + | 2.05511i | −0.465378 | + | 0.114705i | ||||
\(322\) | 41.7239 | + | 36.9642i | 2.32518 | + | 2.05993i | ||||
\(323\) | 0.579878 | + | 2.35266i | 0.0322653 | + | 0.130905i | ||||
\(324\) | 20.4647 | + | 18.1301i | 1.13693 | + | 1.00723i | ||||
\(325\) | −11.5887 | − | 13.0347i | −0.642824 | − | 0.723032i | ||||
\(326\) | −29.7497 | + | 26.3559i | −1.64768 | + | 1.45972i | ||||
\(327\) | 3.06774 | + | 2.11751i | 0.169646 | + | 0.117099i | ||||
\(328\) | 13.3558 | + | 3.29191i | 0.737451 | + | 0.181765i | ||||
\(329\) | 8.74860 | + | 12.6745i | 0.482326 | + | 0.698770i | ||||
\(330\) | 0.634080 | + | 2.57256i | 0.0349050 | + | 0.141615i | ||||
\(331\) | −3.55253 | − | 14.4132i | −0.195265 | − | 0.792220i | −0.984100 | − | 0.177616i | \(-0.943162\pi\) |
0.788835 | − | 0.614605i | \(-0.210685\pi\) | |||||||
\(332\) | −14.0624 | + | 1.70748i | −0.771773 | + | 0.0937102i | ||||
\(333\) | −10.0367 | − | 11.3291i | −0.550010 | − | 0.620833i | ||||
\(334\) | 9.71652 | − | 25.6203i | 0.531664 | − | 1.40188i | ||||
\(335\) | 3.91101 | + | 2.05266i | 0.213681 | + | 0.112149i | ||||
\(336\) | −18.0556 | + | 12.4629i | −0.985015 | + | 0.679907i | ||||
\(337\) | 12.8480 | 0.699875 | 0.349937 | − | 0.936773i | \(-0.386203\pi\) | ||||
0.349937 | + | 0.936773i | \(0.386203\pi\) | |||||||
\(338\) | 22.2505 | + | 24.9383i | 1.21027 | + | 1.35646i | ||||
\(339\) | 4.03994 | 0.219419 | ||||||||
\(340\) | 0.499814 | − | 0.344997i | 0.0271062 | − | 0.0187101i | ||||
\(341\) | 26.7294 | + | 14.0287i | 1.44748 | + | 0.759695i | ||||
\(342\) | −17.8849 | + | 47.1587i | −0.967107 | + | 2.55005i | ||||
\(343\) | 21.4083 | + | 24.1649i | 1.15594 | + | 1.30478i | ||||
\(344\) | −3.93032 | + | 0.477228i | −0.211909 | + | 0.0257304i | ||||
\(345\) | 0.271821 | + | 1.10282i | 0.0146343 | + | 0.0593738i | ||||
\(346\) | 5.63784 | + | 22.8736i | 0.303092 | + | 1.22969i | ||||
\(347\) | −14.6281 | − | 21.1924i | −0.785276 | − | 1.13767i | −0.987390 | − | 0.158306i | \(-0.949397\pi\) |
0.202114 | − | 0.979362i | \(-0.435219\pi\) | |||||||
\(348\) | 6.23067 | + | 1.53572i | 0.333999 | + | 0.0823234i | ||||
\(349\) | −4.36026 | − | 3.00967i | −0.233399 | − | 0.161104i | 0.445625 | − | 0.895220i | \(-0.352982\pi\) |
−0.679024 | + | 0.734116i | \(0.737597\pi\) | |||||||
\(350\) | 42.6969 | − | 37.8262i | 2.28225 | − | 2.02189i | ||||
\(351\) | −9.99182 | − | 6.87094i | −0.533324 | − | 0.366744i | ||||
\(352\) | −23.1882 | − | 20.5429i | −1.23593 | − | 1.09494i | ||||
\(353\) | 1.52664 | + | 6.19382i | 0.0812548 | + | 0.329664i | 0.997476 | − | 0.0710100i | \(-0.0226222\pi\) |
−0.916221 | + | 0.400674i | \(0.868776\pi\) | |||||||
\(354\) | 3.43053 | + | 3.03918i | 0.182330 | + | 0.161531i | ||||
\(355\) | 3.25178 | − | 0.801491i | 0.172586 | − | 0.0425387i | ||||
\(356\) | −16.0202 | − | 6.07567i | −0.849070 | − | 0.322010i | ||||
\(357\) | − | 0.892759i | − | 0.0472498i | ||||||
\(358\) | −50.3714 | + | 19.1034i | −2.66221 | + | 1.00964i | ||||
\(359\) | 0.614544 | − | 2.49330i | 0.0324344 | − | 0.131592i | −0.952493 | − | 0.304561i | \(-0.901490\pi\) |
0.984927 | + | 0.172970i | \(0.0553363\pi\) | |||||||
\(360\) | 7.15644 | 0.377177 | ||||||||
\(361\) | −36.0115 | −1.89534 | ||||||||
\(362\) | 6.78294 | − | 27.5195i | 0.356503 | − | 1.44639i | ||||
\(363\) | −0.531212 | + | 4.37493i | −0.0278814 | + | 0.229624i | ||||
\(364\) | −56.9706 | + | 50.6507i | −2.98607 | + | 2.65482i | ||||
\(365\) | 0.286963 | + | 2.36335i | 0.0150203 | + | 0.123704i | ||||
\(366\) | −8.01834 | − | 0.973603i | −0.419125 | − | 0.0508910i | ||||
\(367\) | 4.49098 | + | 6.50631i | 0.234427 | + | 0.339626i | 0.922487 | − | 0.386027i | \(-0.126153\pi\) |
−0.688060 | + | 0.725654i | \(0.741538\pi\) | |||||||
\(368\) | −28.4067 | − | 25.1661i | −1.48080 | − | 1.31187i | ||||
\(369\) | −5.38386 | + | 0.653719i | −0.280273 | + | 0.0340313i | ||||
\(370\) | −5.88977 | − | 0.715147i | −0.306195 | − | 0.0371787i | ||||
\(371\) | −6.36215 | − | 12.1221i | −0.330306 | − | 0.629346i | ||||
\(372\) | −12.8169 | + | 14.4672i | −0.664523 | + | 0.750092i | ||||
\(373\) | 7.91941 | − | 11.4732i | 0.410051 | − | 0.594062i | −0.562487 | − | 0.826806i | \(-0.690155\pi\) |
0.972538 | + | 0.232744i | \(0.0747706\pi\) | |||||||
\(374\) | 3.49776 | − | 0.862121i | 0.180865 | − | 0.0445792i | ||||
\(375\) | 2.34647 | − | 0.284913i | 0.121171 | − | 0.0147128i | ||||
\(376\) | −12.7958 | − | 18.5380i | −0.659895 | − | 0.956023i | ||||
\(377\) | 8.36541 | + | 1.00082i | 0.430841 | + | 0.0515448i | ||||
\(378\) | 22.5291 | − | 32.6391i | 1.15877 | − | 1.67877i | ||||
\(379\) | 9.89476 | − | 18.8529i | 0.508260 | − | 0.968408i | −0.487206 | − | 0.873287i | \(-0.661984\pi\) |
0.995466 | − | 0.0951209i | \(-0.0303238\pi\) | |||||||
\(380\) | 4.88934 | + | 12.8921i | 0.250818 | + | 0.661352i | ||||
\(381\) | −0.343284 | + | 2.82720i | −0.0175870 | + | 0.144842i | ||||
\(382\) | 36.4944 | − | 25.1903i | 1.86722 | − | 1.28885i | ||||
\(383\) | 2.68469 | − | 10.8922i | 0.137181 | − | 0.556567i | −0.861617 | − | 0.507559i | \(-0.830548\pi\) |
0.998798 | − | 0.0490077i | \(-0.0156059\pi\) | |||||||
\(384\) | −3.91642 | + | 2.70331i | −0.199859 | + | 0.137953i | ||||
\(385\) | −7.41870 | + | 2.81354i | −0.378092 | + | 0.143391i | ||||
\(386\) | −8.34641 | − | 22.0077i | −0.424821 | − | 1.12016i | ||||
\(387\) | 1.38219 | − | 0.725431i | 0.0702608 | − | 0.0368757i | ||||
\(388\) | −22.6518 | − | 43.1593i | −1.14997 | − | 2.19108i | ||||
\(389\) | −33.1019 | − | 8.15888i | −1.67833 | − | 0.413671i | −0.718787 | − | 0.695230i | \(-0.755302\pi\) |
−0.959544 | + | 0.281559i | \(0.909149\pi\) | |||||||
\(390\) | −2.21054 | + | 0.272354i | −0.111935 | + | 0.0137912i | ||||
\(391\) | 1.49944 | − | 0.369578i | 0.0758298 | − | 0.0186904i | ||||
\(392\) | −62.4528 | − | 70.4947i | −3.15434 | − | 3.56052i | ||||
\(393\) | −1.53212 | − | 12.6181i | −0.0772850 | − | 0.636499i | ||||
\(394\) | −22.2725 | + | 11.6895i | −1.12207 | + | 0.588910i | ||||
\(395\) | 0.0308078 | − | 0.0586994i | 0.00155011 | − | 0.00295349i | ||||
\(396\) | 48.8965 | + | 18.5440i | 2.45714 | + | 0.931872i | ||||
\(397\) | −20.6396 | − | 23.2973i | −1.03587 | − | 1.16926i | −0.985351 | − | 0.170537i | \(-0.945450\pi\) |
−0.0505225 | − | 0.998723i | \(-0.516089\pi\) | |||||||
\(398\) | −29.3339 | − | 3.56179i | −1.47038 | − | 0.178536i | ||||
\(399\) | 19.6796 | + | 4.85057i | 0.985210 | + | 0.242832i | ||||
\(400\) | −29.0691 | + | 25.7530i | −1.45345 | + | 1.28765i | ||||
\(401\) | −14.8870 | + | 16.8039i | −0.743420 | + | 0.839148i | −0.991570 | − | 0.129574i | \(-0.958639\pi\) |
0.248149 | + | 0.968722i | \(0.420178\pi\) | |||||||
\(402\) | −14.8537 | + | 7.79582i | −0.740834 | + | 0.388820i | ||||
\(403\) | −14.3783 | + | 20.9092i | −0.716236 | + | 1.04156i | ||||
\(404\) | 69.0442 | + | 36.2372i | 3.43507 | + | 1.80287i | ||||
\(405\) | −2.23667 | + | 0.848256i | −0.111141 | + | 0.0421502i | ||||
\(406\) | −3.32133 | + | 27.3536i | −0.164835 | + | 1.35754i | ||||
\(407\) | −21.7324 | − | 11.4060i | −1.07723 | − | 0.565376i | ||||
\(408\) | 1.30576i | 0.0646449i | ||||||||
\(409\) | −6.71602 | + | 12.7963i | −0.332086 | + | 0.632737i | −0.993052 | − | 0.117679i | \(-0.962455\pi\) |
0.660966 | + | 0.750416i | \(0.270147\pi\) | |||||||
\(410\) | −1.40976 | + | 1.59128i | −0.0696229 | + | 0.0785880i | ||||
\(411\) | 7.58725 | + | 5.23710i | 0.374252 | + | 0.258327i | ||||
\(412\) | −32.7704 | + | 29.0320i | −1.61448 | + | 1.43031i | ||||
\(413\) | −7.79644 | + | 11.2951i | −0.383638 | + | 0.555795i | ||||
\(414\) | 30.0560 | + | 11.3988i | 1.47717 | + | 0.560218i | ||||
\(415\) | 0.439497 | − | 1.15886i | 0.0215741 | − | 0.0568862i | ||||
\(416\) | 19.4619 | − | 17.3030i | 0.954200 | − | 0.848348i | ||||
\(417\) | 3.22732 | + | 8.50974i | 0.158043 | + | 0.416724i | ||||
\(418\) | 81.7871i | 4.00034i | ||||||||
\(419\) | 9.49406 | − | 25.0338i | 0.463815 | − | 1.22298i | −0.475436 | − | 0.879750i | \(-0.657710\pi\) |
0.939251 | − | 0.343230i | \(-0.111521\pi\) | |||||||
\(420\) | −0.612341 | − | 5.04308i | −0.0298792 | − | 0.246077i | ||||
\(421\) | −3.93535 | − | 7.49819i | −0.191797 | − | 0.365439i | 0.770500 | − | 0.637441i | \(-0.220007\pi\) |
−0.962297 | + | 0.272001i | \(0.912315\pi\) | |||||||
\(422\) | 25.9543 | + | 17.9150i | 1.26344 | + | 0.872088i | ||||
\(423\) | 7.30899 | + | 5.04503i | 0.355375 | + | 0.245298i | ||||
\(424\) | 9.30537 | + | 17.7299i | 0.451909 | + | 0.861040i | ||||
\(425\) | −0.190487 | − | 1.56880i | −0.00923998 | − | 0.0760981i | ||||
\(426\) | −4.51042 | + | 11.8930i | −0.218531 | + | 0.576218i | ||||
\(427\) | − | 24.1879i | − | 1.17053i | ||||||
\(428\) | 23.5599 | + | 62.1223i | 1.13881 | + | 3.00280i | ||||
\(429\) | −8.94984 | − | 2.18925i | −0.432102 | − | 0.105698i | ||||
\(430\) | 0.216982 | − | 0.572135i | 0.0104638 | − | 0.0275908i | ||||
\(431\) | 14.7781 | + | 5.60458i | 0.711835 | + | 0.269963i | 0.683827 | − | 0.729644i | \(-0.260314\pi\) |
0.0280080 | + | 0.999608i | \(0.491084\pi\) | |||||||
\(432\) | −15.3384 | + | 22.2215i | −0.737967 | + | 1.06913i | ||||
\(433\) | 0.843193 | − | 0.747004i | 0.0405213 | − | 0.0358987i | −0.642619 | − | 0.766186i | \(-0.722152\pi\) |
0.683140 | + | 0.730287i | \(0.260614\pi\) | |||||||
\(434\) | −68.3015 | − | 47.1451i | −3.27858 | − | 2.26304i | ||||
\(435\) | −0.372315 | + | 0.420257i | −0.0178511 | + | 0.0201498i | ||||
\(436\) | 13.4025 | − | 25.5363i | 0.641863 | − | 1.22297i | ||||
\(437\) | 35.0609i | 1.67719i | ||||||||
\(438\) | −8.00606 | − | 4.20190i | −0.382544 | − | 0.200775i | ||||
\(439\) | 0.637030 | − | 5.24641i | 0.0304038 | − | 0.250398i | −0.969580 | − | 0.244773i | \(-0.921287\pi\) |
0.999984 | − | 0.00562458i | \(-0.00179037\pi\) | |||||||
\(440\) | 10.8507 | − | 4.11513i | 0.517287 | − | 0.196181i | ||||
\(441\) | 32.8791 | + | 17.2563i | 1.56567 | + | 0.821729i | ||||
\(442\) | 0.370304 | + | 3.00554i | 0.0176135 | + | 0.142959i | ||||
\(443\) | 37.2160 | − | 19.5325i | 1.76819 | − | 0.928016i | 0.858321 | − | 0.513113i | \(-0.171508\pi\) |
0.909865 | − | 0.414903i | \(-0.136185\pi\) | |||||||
\(444\) | 10.4208 | − | 11.7626i | 0.494548 | − | 0.558229i | ||||
\(445\) | 1.12208 | − | 0.994072i | 0.0531915 | − | 0.0471235i | ||||
\(446\) | 13.5828 | + | 3.34785i | 0.643163 | + | 0.158525i | ||||
\(447\) | 0.250708 | + | 0.0304415i | 0.0118581 | + | 0.00143983i | ||||
\(448\) | 7.64009 | + | 8.62388i | 0.360960 | + | 0.407440i | ||||
\(449\) | 37.0200 | + | 14.0398i | 1.74708 | + | 0.662581i | 0.999998 | − | 0.00214786i | \(-0.000683686\pi\) |
0.747085 | + | 0.664729i | \(0.231453\pi\) | |||||||
\(450\) | 15.2869 | − | 29.1267i | 0.720629 | − | 1.37304i | ||||
\(451\) | −7.78719 | + | 4.08703i | −0.366685 | + | 0.192451i | ||||
\(452\) | −3.76754 | − | 31.0285i | −0.177210 | − | 1.45946i | ||||
\(453\) | 5.20616 | + | 5.87654i | 0.244607 | + | 0.276104i | ||||
\(454\) | 18.1804 | − | 4.48106i | 0.853248 | − | 0.210307i | ||||
\(455\) | −1.60755 | − | 6.47307i | −0.0753631 | − | 0.303462i | ||||
\(456\) | −28.7836 | − | 7.09452i | −1.34792 | − | 0.332232i | ||||
\(457\) | −17.7824 | − | 33.8816i | −0.831826 | − | 1.58491i | −0.810939 | − | 0.585130i | \(-0.801043\pi\) |
−0.0208867 | − | 0.999782i | \(-0.506649\pi\) | |||||||
\(458\) | 3.44234 | − | 1.80668i | 0.160850 | − | 0.0844207i | ||||
\(459\) | −0.389618 | − | 1.02734i | −0.0181858 | − | 0.0479520i | ||||
\(460\) | 8.21664 | − | 3.11616i | 0.383103 | − | 0.145292i | ||||
\(461\) | −1.41797 | + | 0.978752i | −0.0660413 | + | 0.0455850i | −0.600628 | − | 0.799529i | \(-0.705083\pi\) |
0.534587 | + | 0.845114i | \(0.320467\pi\) | |||||||
\(462\) | 7.21149 | − | 29.2582i | 0.335509 | − | 1.36121i | ||||
\(463\) | −27.4191 | + | 18.9261i | −1.27427 | + | 0.879568i | −0.996703 | − | 0.0811365i | \(-0.974145\pi\) |
−0.277572 | + | 0.960705i | \(0.589530\pi\) | |||||||
\(464\) | 2.26124 | − | 18.6230i | 0.104975 | − | 0.864551i | ||||
\(465\) | −0.599663 | − | 1.58118i | −0.0278087 | − | 0.0733256i | ||||
\(466\) | 4.94522 | − | 9.42233i | 0.229083 | − | 0.436481i | ||||
\(467\) | −9.64493 | + | 13.9731i | −0.446314 | + | 0.646597i | −0.979980 | − | 0.199098i | \(-0.936199\pi\) |
0.533666 | + | 0.845696i | \(0.320814\pi\) | |||||||
\(468\) | −20.3607 | + | 38.9604i | −0.941172 | + | 1.80094i | ||||
\(469\) | −28.5365 | − | 41.3423i | −1.31769 | − | 1.90901i | ||||
\(470\) | 3.45594 | − | 0.419627i | 0.159410 | − | 0.0193559i | ||||
\(471\) | −4.35449 | + | 1.07328i | −0.200644 | + | 0.0494543i | ||||
\(472\) | 11.4032 | − | 16.5204i | 0.524874 | − | 0.760412i | ||||
\(473\) | 1.67856 | − | 1.89471i | 0.0771804 | − | 0.0871186i | ||||
\(474\) | 0.117005 | + | 0.222935i | 0.00537424 | + | 0.0102398i | ||||
\(475\) | 35.6169 | + | 4.32467i | 1.63421 | + | 0.198430i | ||||
\(476\) | −6.85678 | + | 0.832563i | −0.314280 | + | 0.0381605i | ||||
\(477\) | −5.90925 | − | 5.23514i | −0.270566 | − | 0.239701i | ||||
\(478\) | −38.4701 | − | 55.7336i | −1.75958 | − | 2.54920i | ||||
\(479\) | 41.9110 | + | 5.08891i | 1.91496 | + | 0.232518i | 0.989306 | − | 0.145852i | \(-0.0465922\pi\) |
0.925654 | + | 0.378370i | \(0.123515\pi\) | |||||||
\(480\) | 0.209184 | + | 1.72279i | 0.00954790 | + | 0.0786340i | ||||
\(481\) | 11.6903 | − | 17.0002i | 0.533033 | − | 0.775144i | ||||
\(482\) | 1.17547 | − | 9.68083i | 0.0535410 | − | 0.440950i | ||||
\(483\) | 3.09146 | − | 12.5425i | 0.140666 | − | 0.570705i | ||||
\(484\) | 34.0967 | 1.54985 | ||||||||
\(485\) | 4.26464 | 0.193647 | ||||||||
\(486\) | 8.38190 | − | 34.0067i | 0.380211 | − | 1.54258i | ||||
\(487\) | 0.925020 | − | 0.350814i | 0.0419167 | − | 0.0158969i | −0.333557 | − | 0.942730i | \(-0.608249\pi\) |
0.375474 | + | 0.926833i | \(0.377480\pi\) | |||||||
\(488\) | 35.3776i | 1.60147i | ||||||||
\(489\) | 8.61207 | + | 3.26613i | 0.389451 | + | 0.147699i | ||||
\(490\) | 14.1327 | − | 3.48339i | 0.638449 | − | 0.157364i | ||||
\(491\) | 5.95750 | + | 5.27788i | 0.268858 | + | 0.238187i | 0.786770 | − | 0.617247i | \(-0.211752\pi\) |
−0.517912 | + | 0.855434i | \(0.673290\pi\) | |||||||
\(492\) | −1.34757 | − | 5.46730i | −0.0607530 | − | 0.246485i | ||||
\(493\) | 0.571398 | + | 0.506214i | 0.0257345 | + | 0.0227987i | ||||
\(494\) | −68.2646 | − | 8.16703i | −3.07137 | − | 0.367452i | ||||
\(495\) | −3.42477 | + | 3.03409i | −0.153932 | + | 0.136372i | ||||
\(496\) | 46.5013 | + | 32.0975i | 2.08797 | + | 1.44122i | ||||
\(497\) | −36.9829 | − | 9.11548i | −1.65891 | − | 0.408885i | ||||
\(498\) | 2.67396 | + | 3.87390i | 0.119823 | + | 0.173593i | ||||
\(499\) | 0.864910 | + | 3.50908i | 0.0387187 | + | 0.157088i | 0.987119 | − | 0.159987i | \(-0.0511454\pi\) |
−0.948400 | + | 0.317075i | \(0.897299\pi\) | |||||||
\(500\) | −4.37651 | − | 17.7562i | −0.195723 | − | 0.794081i | ||||
\(501\) | −6.30365 | + | 0.765402i | −0.281626 | + | 0.0341956i | ||||
\(502\) | 16.0174 | + | 18.0799i | 0.714893 | + | 0.806947i | ||||
\(503\) | −8.02702 | + | 21.1655i | −0.357907 | + | 0.943724i | 0.628265 | + | 0.777999i | \(0.283765\pi\) |
−0.986172 | + | 0.165724i | \(0.947004\pi\) | |||||||
\(504\) | −72.0683 | − | 37.8244i | −3.21018 | − | 1.68483i | ||||
\(505\) | −5.61470 | + | 3.87554i | −0.249851 | + | 0.172459i | ||||
\(506\) | 52.1260 | 2.31728 | ||||||||
\(507\) | 2.72099 | − | 7.25148i | 0.120843 | − | 0.322050i | ||||
\(508\) | 22.0342 | 0.977610 | ||||||||
\(509\) | −15.1557 | + | 10.4612i | −0.671764 | + | 0.463685i | −0.854482 | − | 0.519480i | \(-0.826126\pi\) |
0.182719 | + | 0.983165i | \(0.441510\pi\) | |||||||
\(510\) | −0.178692 | − | 0.0937846i | −0.00791260 | − | 0.00415285i | ||||
\(511\) | 9.60134 | − | 25.3167i | 0.424738 | − | 1.11994i | ||||
\(512\) | 32.9795 | + | 37.2262i | 1.45750 | + | 1.64518i | ||||
\(513\) | 24.7630 | − | 3.00678i | 1.09331 | − | 0.132752i | ||||
\(514\) | 10.0158 | + | 40.6356i | 0.441777 | + | 1.79236i | ||||
\(515\) | −0.916705 | − | 3.71922i | −0.0403948 | − | 0.163888i | ||||
\(516\) | 0.920676 | + | 1.33383i | 0.0405305 | + | 0.0587186i | ||||
\(517\) | 13.9830 | + | 3.44650i | 0.614973 | + | 0.151577i | ||||
\(518\) | 55.5326 | + | 38.3314i | 2.43996 | + | 1.68419i | ||||
\(519\) | 4.08643 | − | 3.62026i | 0.179374 | − | 0.158912i | ||||
\(520\) | 2.35123 | + | 9.46761i | 0.103108 | + | 0.415182i | ||||
\(521\) | −11.2013 | − | 9.92353i | −0.490740 | − | 0.434758i | 0.381111 | − | 0.924529i | \(-0.375542\pi\) |
−0.871851 | + | 0.489772i | \(0.837080\pi\) | |||||||
\(522\) | 3.80267 | + | 15.4281i | 0.166439 | + | 0.675268i | ||||
\(523\) | 26.1307 | + | 23.1497i | 1.14261 | + | 1.01227i | 0.999746 | + | 0.0225255i | \(0.00717071\pi\) |
0.142867 | + | 0.989742i | \(0.454368\pi\) | |||||||
\(524\) | −95.4837 | + | 23.5346i | −4.17123 | + | 1.02811i | ||||
\(525\) | −12.3601 | − | 4.68757i | −0.539439 | − | 0.204582i | ||||
\(526\) | 19.3091i | 0.841916i | ||||||||
\(527\) | −2.14984 | + | 0.815326i | −0.0936484 | + | 0.0355161i | ||||
\(528\) | −4.90975 | + | 19.9196i | −0.213670 | + | 0.866891i | ||||
\(529\) | −0.654374 | −0.0284511 | ||||||||
\(530\) | −3.09466 | −0.134423 | ||||||||
\(531\) | −1.89406 | + | 7.68452i | −0.0821954 | + | 0.333480i | ||||
\(532\) | 18.9019 | − | 155.671i | 0.819500 | − | 6.74919i | ||||
\(533\) | −2.63369 | − | 6.90780i | −0.114078 | − | 0.299210i | ||||
\(534\) | 0.686259 | + | 5.65185i | 0.0296973 | + | 0.244580i | ||||
\(535\) | −5.77066 | − | 0.700685i | −0.249487 | − | 0.0302932i | ||||
\(536\) | 41.7379 | + | 60.4678i | 1.80280 | + | 2.61181i | ||||
\(537\) | 9.34475 | + | 8.27873i | 0.403256 | + | 0.357253i | ||||
\(538\) | −46.7127 | + | 5.67195i | −2.01393 | + | 0.244535i | ||||
\(539\) | 59.7747 | + | 7.25796i | 2.57468 | + | 0.312622i | ||||
\(540\) | −2.90555 | − | 5.53606i | −0.125035 | − | 0.238234i | ||||
\(541\) | 6.61857 | − | 7.47083i | 0.284555 | − | 0.321196i | −0.588802 | − | 0.808277i | \(-0.700400\pi\) |
0.873356 | + | 0.487082i | \(0.161939\pi\) | |||||||
\(542\) | 25.8154 | − | 37.4001i | 1.10887 | − | 1.60647i | ||||
\(543\) | −6.37741 | + | 1.57189i | −0.273681 | + | 0.0674563i | ||||
\(544\) | 2.34237 | − | 0.284415i | 0.100428 | − | 0.0121942i | ||||
\(545\) | 1.43339 | + | 2.07662i | 0.0613996 | + | 0.0889527i | ||||
\(546\) | 23.7006 | + | 8.94080i | 1.01429 | + | 0.382631i | ||||
\(547\) | −5.88495 | + | 8.52582i | −0.251622 | + | 0.364538i | −0.928357 | − | 0.371689i | \(-0.878779\pi\) |
0.676735 | + | 0.736227i | \(0.263394\pi\) | |||||||
\(548\) | 33.1475 | − | 63.1574i | 1.41599 | − | 2.69795i | ||||
\(549\) | −4.94616 | − | 13.0420i | −0.211097 | − | 0.556617i | ||||
\(550\) | 6.42961 | − | 52.9526i | 0.274160 | − | 2.25791i | ||||
\(551\) | −14.2633 | + | 9.84524i | −0.607636 | + | 0.419421i | ||||
\(552\) | −4.52161 | + | 18.3449i | −0.192452 | + | 0.780810i | ||||
\(553\) | −0.620496 | + | 0.428297i | −0.0263862 | + | 0.0182130i | ||||
\(554\) | −32.9459 | + | 12.4947i | −1.39974 | + | 0.530851i | ||||
\(555\) | 0.487557 | + | 1.28558i | 0.0206957 | + | 0.0545700i | ||||
\(556\) | 62.3488 | − | 32.7232i | 2.64418 | − | 1.38777i | ||||
\(557\) | −9.16269 | − | 17.4580i | −0.388236 | − | 0.739721i | 0.610392 | − | 0.792100i | \(-0.291012\pi\) |
−0.998627 | + | 0.0523786i | \(0.983320\pi\) | |||||||
\(558\) | −46.4683 | − | 11.4534i | −1.96716 | − | 0.484862i | ||||
\(559\) | 1.41382 | + | 1.59023i | 0.0597984 | + | 0.0672597i | ||||
\(560\) | −14.4196 | + | 3.55411i | −0.609339 | + | 0.150189i | ||||
\(561\) | −0.553599 | − | 0.624884i | −0.0233730 | − | 0.0263826i | ||||
\(562\) | 9.59596 | + | 79.0299i | 0.404781 | + | 3.33367i | ||||
\(563\) | 23.3976 | − | 12.2800i | 0.986092 | − | 0.517541i | 0.107034 | − | 0.994255i | \(-0.465865\pi\) |
0.879058 | + | 0.476714i | \(0.158172\pi\) | |||||||
\(564\) | −4.28517 | + | 8.16470i | −0.180438 | + | 0.343796i | ||||
\(565\) | 2.55701 | + | 0.969747i | 0.107574 | + | 0.0407976i | ||||
\(566\) | −11.3842 | − | 12.8502i | −0.478515 | − | 0.540132i | ||||
\(567\) | 27.0075 | + | 3.27931i | 1.13421 | + | 0.137718i | ||||
\(568\) | 54.0918 | + | 13.3324i | 2.26964 | + | 0.559416i | ||||
\(569\) | −13.4494 | + | 11.9152i | −0.563830 | + | 0.499510i | −0.896207 | − | 0.443637i | \(-0.853688\pi\) |
0.332377 | + | 0.943147i | \(0.392149\pi\) | |||||||
\(570\) | 3.03822 | − | 3.42944i | 0.127257 | − | 0.143643i | ||||
\(571\) | −27.5574 | + | 14.4633i | −1.15324 | + | 0.605269i | −0.929297 | − | 0.369333i | \(-0.879586\pi\) |
−0.223946 | + | 0.974602i | \(0.571894\pi\) | |||||||
\(572\) | −8.46799 | + | 70.7802i | −0.354064 | + | 2.95947i | ||||
\(573\) | −9.09927 | − | 4.77567i | −0.380128 | − | 0.199506i | ||||
\(574\) | 22.6073 | − | 8.57384i | 0.943612 | − | 0.357865i | ||||
\(575\) | 2.75628 | − | 22.7000i | 0.114945 | − | 0.946655i | ||||
\(576\) | 5.88297 | + | 3.08762i | 0.245124 | + | 0.128651i | ||||
\(577\) | 2.27082i | 0.0945354i | 0.998882 | + | 0.0472677i | \(0.0150514\pi\) | ||||
−0.998882 | + | 0.0472677i | \(0.984949\pi\) | |||||||
\(578\) | 20.1833 | − | 38.4560i | 0.839514 | − | 1.59956i | ||||
\(579\) | −3.61704 | + | 4.08279i | −0.150319 | + | 0.169675i | ||||
\(580\) | 3.57496 | + | 2.46762i | 0.148442 | + | 0.102462i | ||||
\(581\) | −10.5509 | + | 9.34730i | −0.437726 | + | 0.387791i | ||||
\(582\) | −9.20079 | + | 13.3297i | −0.381385 | + | 0.552532i | ||||
\(583\) | −11.9700 | − | 4.53964i | −0.495748 | − | 0.188013i | ||||
\(584\) | −14.0431 | + | 37.0285i | −0.581106 | + | 1.53225i | ||||
\(585\) | −2.19045 | − | 3.16151i | −0.0905640 | − | 0.130712i | ||||
\(586\) | −18.0640 | − | 47.6309i | −0.746218 | − | 1.96761i | ||||
\(587\) | − | 32.2846i | − | 1.33253i | −0.745716 | − | 0.666264i | \(-0.767892\pi\) | ||
0.745716 | − | 0.666264i | \(-0.232108\pi\) | |||||||
\(588\) | −13.6712 | + | 36.0479i | −0.563789 | + | 1.48659i | ||||
\(589\) | −6.29207 | − | 51.8198i | −0.259260 | − | 2.13520i | ||||
\(590\) | 1.44177 | + | 2.74706i | 0.0593567 | + | 0.113095i | ||||
\(591\) | 4.79732 | + | 3.31135i | 0.197335 | + | 0.136211i | ||||
\(592\) | −37.8079 | − | 26.0969i | −1.55390 | − | 1.07258i | ||||
\(593\) | 0.902600 | + | 1.71976i | 0.0370653 | + | 0.0706221i | 0.903284 | − | 0.429042i | \(-0.141149\pi\) |
−0.866219 | + | 0.499665i | \(0.833457\pi\) | |||||||
\(594\) | −4.47026 | − | 36.8159i | −0.183417 | − | 1.51057i | ||||
\(595\) | 0.214298 | − | 0.565057i | 0.00878535 | − | 0.0231651i | ||||
\(596\) | − | 1.95394i | − | 0.0800363i | ||||||
\(597\) | 2.42827 | + | 6.40283i | 0.0993827 | + | 0.262051i | ||||
\(598\) | −5.20516 | + | 43.5076i | −0.212855 | + | 1.77916i | ||||
\(599\) | −8.77057 | + | 23.1261i | −0.358356 | + | 0.944907i | 0.627695 | + | 0.778460i | \(0.283999\pi\) |
−0.986050 | + | 0.166447i | \(0.946771\pi\) | |||||||
\(600\) | 18.0781 | + | 6.85611i | 0.738035 | + | 0.279900i | ||||
\(601\) | −16.3263 | + | 23.6528i | −0.665966 | + | 0.964818i | 0.333789 | + | 0.942648i | \(0.391673\pi\) |
−0.999754 | + | 0.0221698i | \(0.992943\pi\) | |||||||
\(602\) | −5.20905 | + | 4.61481i | −0.212305 | + | 0.188086i | ||||
\(603\) | −23.8407 | − | 16.4561i | −0.970869 | − | 0.670143i | ||||
\(604\) | 40.2792 | − | 45.4659i | 1.63894 | − | 1.84998i | ||||
\(605\) | −1.38638 | + | 2.64152i | −0.0563643 | + | 0.107393i | ||||
\(606\) | − | 25.9107i | − | 1.05255i | ||||||
\(607\) | 33.2627 | + | 17.4576i | 1.35009 | + | 0.708582i | 0.975787 | − | 0.218724i | \(-0.0701896\pi\) |
0.374303 | + | 0.927306i | \(0.377882\pi\) | |||||||
\(608\) | −6.45714 | + | 53.1793i | −0.261872 | + | 2.15671i | ||||
\(609\) | 5.97058 | − | 2.26434i | 0.241940 | − | 0.0917558i | ||||
\(610\) | −4.84137 | − | 2.54095i | −0.196021 | − | 0.102880i | ||||
\(611\) | −4.27298 | + | 11.3270i | −0.172866 | + | 0.458239i | ||||
\(612\) | −3.52688 | + | 1.85105i | −0.142566 | + | 0.0748242i | ||||
\(613\) | −4.76109 | + | 5.37416i | −0.192299 | + | 0.217060i | −0.836750 | − | 0.547585i | \(-0.815547\pi\) |
0.644451 | + | 0.764645i | \(0.277086\pi\) | |||||||
\(614\) | −3.13354 | + | 2.77607i | −0.126459 | + | 0.112033i | ||||
\(615\) | 0.478352 | + | 0.117903i | 0.0192890 | + | 0.00475432i | ||||
\(616\) | −131.021 | − | 15.9088i | −5.27899 | − | 0.640986i | ||||
\(617\) | 17.0200 | + | 19.2116i | 0.685199 | + | 0.773430i | 0.983474 | − | 0.181050i | \(-0.0579496\pi\) |
−0.298275 | + | 0.954480i | \(0.596411\pi\) | |||||||
\(618\) | 13.6026 | + | 5.15879i | 0.547178 | + | 0.207517i | ||||
\(619\) | −18.2133 | + | 34.7026i | −0.732056 | + | 1.39482i | 0.179549 | + | 0.983749i | \(0.442536\pi\) |
−0.911605 | + | 0.411067i | \(0.865156\pi\) | |||||||
\(620\) | −11.5849 | + | 6.08024i | −0.465262 | + | 0.244188i | ||||
\(621\) | −1.91633 | − | 15.7824i | −0.0768998 | − | 0.633327i | ||||
\(622\) | 14.6177 | + | 16.5000i | 0.586117 | + | 0.661590i | ||||
\(623\) | −16.5538 | + | 4.08015i | −0.663214 | + | 0.163468i | ||||
\(624\) | −16.1359 | − | 6.08711i | −0.645954 | − | 0.243679i | ||||
\(625\) | −21.9304 | − | 5.40535i | −0.877215 | − | 0.216214i | ||||
\(626\) | −21.9667 | − | 41.8540i | −0.877965 | − | 1.67282i | ||||
\(627\) | 16.7825 | − | 8.80813i | 0.670228 | − | 0.351763i | ||||
\(628\) | 12.3042 | + | 32.4434i | 0.490990 | + | 1.29463i | ||||
\(629\) | 1.74793 | − | 0.662902i | 0.0696945 | − | 0.0264316i | ||||
\(630\) | 10.3524 | − | 7.14576i | 0.412450 | − | 0.284694i | ||||
\(631\) | −3.68955 | + | 14.9691i | −0.146879 | + | 0.595910i | 0.850655 | + | 0.525724i | \(0.176206\pi\) |
−0.997534 | + | 0.0701864i | \(0.977641\pi\) | |||||||
\(632\) | 0.907546 | − | 0.626434i | 0.0361003 | − | 0.0249182i | ||||
\(633\) | 0.880932 | − | 7.25513i | 0.0350139 | − | 0.288365i | ||||
\(634\) | 5.67125 | + | 14.9539i | 0.225234 | + | 0.593893i | ||||
\(635\) | −0.895915 | + | 1.70702i | −0.0355533 | + | 0.0677412i | ||||
\(636\) | 4.65629 | − | 6.74580i | 0.184634 | − | 0.267488i | ||||
\(637\) | −12.0269 | + | 49.1669i | −0.476522 | + | 1.94806i | ||||
\(638\) | 14.6372 | + | 21.2056i | 0.579492 | + | 0.839539i | ||||
\(639\) | −21.8050 | + | 2.64760i | −0.862591 | + | 0.104738i | ||||
\(640\) | −3.12774 | + | 0.770918i | −0.123635 | + | 0.0304732i | ||||
\(641\) | −4.03488 | + | 5.84554i | −0.159368 | + | 0.230885i | −0.894531 | − | 0.447006i | \(-0.852490\pi\) |
0.735163 | + | 0.677891i | \(0.237106\pi\) | |||||||
\(642\) | 14.6400 | − | 16.5252i | 0.577796 | − | 0.652197i | ||||
\(643\) | −3.78725 | − | 7.21600i | −0.149354 | − | 0.284571i | 0.799272 | − | 0.600969i | \(-0.205219\pi\) |
−0.948626 | + | 0.316398i | \(0.897526\pi\) | |||||||
\(644\) | −99.2150 | − | 12.0469i | −3.90962 | − | 0.474714i | ||||
\(645\) | −0.140769 | + | 0.0170924i | −0.00554276 | + | 0.000673013i | ||||
\(646\) | −4.66280 | − | 4.13088i | −0.183455 | − | 0.162527i | ||||
\(647\) | 17.2728 | + | 25.0240i | 0.679065 | + | 0.983795i | 0.999335 | + | 0.0364689i | \(0.0116110\pi\) |
−0.320270 | + | 0.947326i | \(0.603774\pi\) | |||||||
\(648\) | −39.5016 | − | 4.79637i | −1.55177 | − | 0.188419i | ||||
\(649\) | 1.54698 | + | 12.7405i | 0.0607243 | + | 0.500110i | ||||
\(650\) | 43.5556 | + | 10.6543i | 1.70839 | + | 0.417895i | ||||
\(651\) | −2.31826 | + | 19.0926i | −0.0908598 | + | 0.748298i | ||||
\(652\) | 17.0539 | − | 69.1904i | 0.667882 | − | 2.70970i | ||||
\(653\) | 19.7265 | 0.771957 | 0.385978 | − | 0.922508i | \(-0.373864\pi\) | ||||
0.385978 | + | 0.922508i | \(0.373864\pi\) | |||||||
\(654\) | −9.58321 | −0.374733 | ||||||||
\(655\) | 2.05912 | − | 8.35419i | 0.0804566 | − | 0.326425i | ||||
\(656\) | −15.3916 | + | 5.83727i | −0.600942 | + | 0.227907i | ||||
\(657\) | − | 15.6139i | − | 0.609158i | ||||||
\(658\) | −37.0206 | − | 14.0401i | −1.44321 | − | 0.547339i | ||||
\(659\) | −8.02027 | + | 1.97682i | −0.312425 | + | 0.0770059i | −0.392411 | − | 0.919790i | \(-0.628359\pi\) |
0.0799854 | + | 0.996796i | \(0.474513\pi\) | |||||||
\(660\) | −3.55582 | − | 3.15018i | −0.138410 | − | 0.122621i | ||||
\(661\) | 5.19897 | + | 21.0930i | 0.202216 | + | 0.820424i | 0.981139 | + | 0.193304i | \(0.0619203\pi\) |
−0.778923 | + | 0.627120i | \(0.784234\pi\) | |||||||
\(662\) | 28.5659 | + | 25.3072i | 1.11025 | + | 0.983593i | ||||
\(663\) | 0.576848 | − | 0.399669i | 0.0224029 | − | 0.0155219i | ||||
\(664\) | 15.4319 | − | 13.6715i | 0.598875 | − | 0.530557i | ||||
\(665\) | 11.2915 | + | 7.79397i | 0.437866 | + | 0.302237i | ||||
\(666\) | 37.7812 | + | 9.31222i | 1.46399 | + | 0.360841i | ||||
\(667\) | 6.27474 | + | 9.09053i | 0.242959 | + | 0.351987i | ||||
\(668\) | 11.7572 | + | 47.7010i | 0.454901 | + | 1.84561i | ||||
\(669\) | −0.775838 | − | 3.14770i | −0.0299956 | − | 0.121697i | ||||
\(670\) | −11.2727 | + | 1.36875i | −0.435502 | + | 0.0528795i | ||||
\(671\) | −14.9989 | − | 16.9302i | −0.579026 | − | 0.653585i | ||||
\(672\) | 6.99898 | − | 18.4548i | 0.269991 | − | 0.711909i | ||||
\(673\) | 3.19351 | + | 1.67609i | 0.123101 | + | 0.0646083i | 0.525149 | − | 0.851010i | \(-0.324009\pi\) |
−0.402049 | + | 0.915618i | \(0.631702\pi\) | |||||||
\(674\) | −27.1838 | + | 18.7636i | −1.04708 | + | 0.722748i | ||||
\(675\) | −16.2691 | −0.626197 | ||||||||
\(676\) | −58.2321 | − | 14.1358i | −2.23969 | − | 0.543686i | ||||
\(677\) | −0.279497 | −0.0107420 | −0.00537098 | − | 0.999986i | \(-0.501710\pi\) | ||||
−0.00537098 | + | 0.999986i | \(0.501710\pi\) | |||||||
\(678\) | −8.54771 | + | 5.90006i | −0.328273 | + | 0.226590i | ||||
\(679\) | −42.9467 | − | 22.5402i | −1.64814 | − | 0.865013i | ||||
\(680\) | −0.313435 | + | 0.826461i | −0.0120197 | + | 0.0316933i | ||||
\(681\) | −2.87745 | − | 3.24797i | −0.110264 | − | 0.124463i | ||||
\(682\) | −77.0420 | + | 9.35460i | −2.95009 | + | 0.358206i | ||||
\(683\) | −4.67466 | − | 18.9658i | −0.178871 | − | 0.725708i | −0.990027 | − | 0.140878i | \(-0.955007\pi\) |
0.811156 | − | 0.584830i | \(-0.198839\pi\) | |||||||
\(684\) | −21.6412 | − | 87.8020i | −0.827474 | − | 3.35719i | ||||
\(685\) | 3.54511 | + | 5.13598i | 0.135452 | + | 0.196236i | ||||
\(686\) | −80.5869 | − | 19.8629i | −3.07682 | − | 0.758368i | ||||
\(687\) | −0.741452 | − | 0.511787i | −0.0282882 | − | 0.0195259i | ||||
\(688\) | 3.54644 | − | 3.14187i | 0.135207 | − | 0.119783i | ||||
\(689\) | 4.98436 | − | 9.53763i | 0.189889 | − | 0.363355i | ||||
\(690\) | −2.18571 | − | 1.93637i | −0.0832086 | − | 0.0737164i | ||||
\(691\) | 10.0198 | + | 40.6519i | 0.381171 | + | 1.54647i | 0.777811 | + | 0.628498i | \(0.216330\pi\) |
−0.396640 | + | 0.917974i | \(0.629824\pi\) | |||||||
\(692\) | −31.6161 | − | 28.0094i | −1.20186 | − | 1.06476i | ||||
\(693\) | 50.5252 | − | 12.4533i | 1.91929 | − | 0.473063i | ||||
\(694\) | 61.9002 | + | 23.4756i | 2.34970 | + | 0.891123i | ||||
\(695\) | 6.16078i | 0.233692i | ||||||||
\(696\) | −8.73266 | + | 3.31186i | −0.331011 | + | 0.125536i | ||||
\(697\) | 0.160306 | − | 0.650386i | 0.00607202 | − | 0.0246351i | ||||
\(698\) | 13.6209 | 0.515558 | ||||||||
\(699\) | −2.46601 | −0.0932732 | ||||||||
\(700\) | −24.4759 | + | 99.3025i | −0.925100 | + | 3.75328i | ||||
\(701\) | 3.98495 | − | 32.8190i | 0.150509 | − | 1.23956i | −0.700210 | − | 0.713937i | \(-0.746910\pi\) |
0.850719 | − | 0.525620i | \(-0.176167\pi\) | |||||||
\(702\) | 31.1753 | − | 0.0548278i | 1.17663 | − | 0.00206934i | ||||
\(703\) | 5.11578 | + | 42.1322i | 0.192945 | + | 1.58905i | ||||
\(704\) | 10.6953 | + | 1.29865i | 0.403095 | + | 0.0489446i | ||||
\(705\) | −0.458296 | − | 0.663956i | −0.0172604 | − | 0.0250060i | ||||
\(706\) | −12.2757 | − | 10.8753i | −0.462003 | − | 0.409299i | ||||
\(707\) | 77.0260 | − | 9.35265i | 2.89686 | − | 0.351743i | ||||
\(708\) | −8.15742 | − | 0.990490i | −0.306575 | − | 0.0372249i | ||||
\(709\) | 16.0773 | + | 30.6327i | 0.603796 | + | 1.15044i | 0.975067 | + | 0.221912i | \(0.0712297\pi\) |
−0.371271 | + | 0.928525i | \(0.621078\pi\) | |||||||
\(710\) | −5.70959 | + | 6.44480i | −0.214277 | + | 0.241869i | ||||
\(711\) | −0.246985 | + | 0.357819i | −0.00926266 | + | 0.0134193i | ||||
\(712\) | 24.2118 | − | 5.96769i | 0.907377 | − | 0.223648i | ||||
\(713\) | −33.0268 | + | 4.01017i | −1.23686 | + | 0.150182i | ||||
\(714\) | 1.30381 | + | 1.88890i | 0.0487940 | + | 0.0706904i | ||||
\(715\) | −5.13914 | − | 3.53396i | −0.192193 | − | 0.132163i | ||||
\(716\) | 54.8695 | − | 79.4922i | 2.05057 | − | 2.97076i | ||||
\(717\) | −7.29331 | + | 13.8962i | −0.272374 | + | 0.518965i | ||||
\(718\) | 2.34105 | + | 6.17284i | 0.0873671 | + | 0.230368i | ||||
\(719\) | −1.93598 | + | 15.9442i | −0.0721998 | + | 0.594619i | 0.911042 | + | 0.412313i | \(0.135279\pi\) |
−0.983242 | + | 0.182306i | \(0.941644\pi\) | |||||||
\(720\) | −7.04817 | + | 4.86500i | −0.262670 | + | 0.181308i | ||||
\(721\) | −10.4258 | + | 42.2992i | −0.388278 | + | 1.57530i | ||||
\(722\) | 76.1931 | − | 52.5923i | 2.83561 | − | 1.95728i | ||||
\(723\) | −2.11307 | + | 0.801382i | −0.0785860 | + | 0.0298037i | ||||
\(724\) | 18.0202 | + | 47.5154i | 0.669716 | + | 1.76590i | ||||
\(725\) | 10.0087 | − | 5.25295i | 0.371713 | − | 0.195090i | ||||
\(726\) | −5.26534 | − | 10.0323i | −0.195415 | − | 0.372333i | ||||
\(727\) | 15.0733 | + | 3.71525i | 0.559039 | + | 0.137791i | 0.508704 | − | 0.860942i | \(-0.330125\pi\) |
0.0503355 | + | 0.998732i | \(0.483971\pi\) | |||||||
\(728\) | 26.3619 | − | 107.770i | 0.977038 | − | 3.99422i | ||||
\(729\) | 9.39629 | − | 2.31598i | 0.348011 | − | 0.0857769i | ||||
\(730\) | −4.05867 | − | 4.58130i | −0.150218 | − | 0.169561i | ||||
\(731\) | 0.0232395 | + | 0.191395i | 0.000859545 | + | 0.00707899i | ||||
\(732\) | 12.8232 | − | 6.73016i | 0.473961 | − | 0.248754i | ||||
\(733\) | 15.8337 | − | 30.1685i | 0.584830 | − | 1.11430i | −0.395783 | − | 0.918344i | \(-0.629527\pi\) |
0.980613 | − | 0.195956i | \(-0.0627810\pi\) | |||||||
\(734\) | −19.0040 | − | 7.20728i | −0.701452 | − | 0.266026i | ||||
\(735\) | −2.23681 | − | 2.52484i | −0.0825061 | − | 0.0931301i | ||||
\(736\) | 33.8932 | + | 4.11538i | 1.24932 | + | 0.151695i | ||||
\(737\) | −45.6103 | − | 11.2419i | −1.68008 | − | 0.414102i | ||||
\(738\) | 10.4365 | − | 9.24591i | 0.384172 | − | 0.340347i | ||||
\(739\) | 27.6003 | − | 31.1543i | 1.01529 | − | 1.14603i | 0.0260631 | − | 0.999660i | \(-0.491703\pi\) |
0.989230 | − | 0.146369i | \(-0.0467586\pi\) | |||||||
\(740\) | 9.41915 | − | 4.94355i | 0.346255 | − | 0.181729i | ||||
\(741\) | 5.67597 | + | 14.8873i | 0.208512 | + | 0.546898i | ||||
\(742\) | 31.1645 | + | 16.3564i | 1.14408 | + | 0.600462i | ||||
\(743\) | −0.819364 | + | 0.310744i | −0.0300595 | + | 0.0114001i | −0.369589 | − | 0.929195i | \(-0.620501\pi\) |
0.339529 | + | 0.940595i | \(0.389732\pi\) | |||||||
\(744\) | 3.39072 | − | 27.9251i | 0.124310 | − | 1.02378i | ||||
\(745\) | 0.151374 | + | 0.0794474i | 0.00554593 | + | 0.00291073i | ||||
\(746\) | 35.8409i | 1.31223i | ||||||||
\(747\) | −3.77756 | + | 7.19755i | −0.138214 | + | 0.263344i | ||||
\(748\) | −4.28311 | + | 4.83463i | −0.156606 | + | 0.176772i | ||||
\(749\) | 54.4096 | + | 37.5562i | 1.98808 | + | 1.37227i | ||||
\(750\) | −4.54857 | + | 4.02968i | −0.166090 | + | 0.147143i | ||||
\(751\) | −17.2838 | + | 25.0399i | −0.630695 | + | 0.913720i | −0.999878 | − | 0.0156370i | \(-0.995022\pi\) |
0.369182 | + | 0.929357i | \(0.379638\pi\) | |||||||
\(752\) | 25.2045 | + | 9.55881i | 0.919114 | + | 0.348574i | ||||
\(753\) | 1.98494 | − | 5.23387i | 0.0723354 | − | 0.190733i | ||||
\(754\) | −19.1612 | + | 10.0996i | −0.697809 | + | 0.367805i | ||||
\(755\) | 1.88455 | + | 4.96914i | 0.0685857 | + | 0.180846i | ||||
\(756\) | 71.1074i | 2.58615i | ||||||||
\(757\) | −0.133653 | + | 0.352415i | −0.00485771 | + | 0.0128087i | −0.937423 | − | 0.348192i | \(-0.886796\pi\) |
0.932565 | + | 0.361001i | \(0.117565\pi\) | |||||||
\(758\) | 6.59802 | + | 54.3396i | 0.239651 | + | 1.97370i | ||||
\(759\) | −5.61375 | − | 10.6961i | −0.203766 | − | 0.388244i | ||||
\(760\) | −16.5151 | − | 11.3996i | −0.599067 | − | 0.413506i | ||||
\(761\) | −20.4697 | − | 14.1292i | −0.742026 | − | 0.512183i | 0.136052 | − | 0.990702i | \(-0.456559\pi\) |
−0.878078 | + | 0.478518i | \(0.841174\pi\) | |||||||
\(762\) | −3.40261 | − | 6.48313i | −0.123263 | − | 0.234859i | ||||
\(763\) | −3.45912 | − | 28.4884i | −0.125229 | − | 1.03135i | ||||
\(764\) | −28.1934 | + | 74.3400i | −1.02000 | + | 2.68953i | ||||
\(765\) | − | 0.348496i | − | 0.0125999i | ||||||
\(766\) | 10.2271 | + | 26.9666i | 0.369519 | + | 0.974343i | ||||
\(767\) | −10.7885 | + | 0.0189737i | −0.389551 | + | 0.000685102i | ||||
\(768\) | 5.39972 | − | 14.2379i | 0.194846 | − | 0.513766i | ||||
\(769\) | −41.5016 | − | 15.7395i | −1.49659 | − | 0.567581i | −0.535672 | − | 0.844426i | \(-0.679942\pi\) |
−0.960915 | + | 0.276845i | \(0.910711\pi\) | |||||||
\(770\) | 11.5875 | − | 16.7874i | 0.417585 | − | 0.604976i | ||||
\(771\) | 7.25965 | − | 6.43149i | 0.261450 | − | 0.231625i | ||||
\(772\) | 34.7308 | + | 23.9729i | 1.24999 | + | 0.862804i | ||||
\(773\) | −8.14448 | + | 9.19322i | −0.292937 | + | 0.330657i | −0.876492 | − | 0.481416i | \(-0.840123\pi\) |
0.583556 | + | 0.812073i | \(0.301661\pi\) | |||||||
\(774\) | −1.86500 | + | 3.55347i | −0.0670362 | + | 0.127727i | ||||
\(775\) | 34.0451i | 1.22294i | ||||||||
\(776\) | 62.8145 | + | 32.9676i | 2.25491 | + | 1.18347i | ||||
\(777\) | 1.88487 | − | 15.5233i | 0.0676192 | − | 0.556894i | ||||
\(778\) | 81.9525 | − | 31.0805i | 2.93814 | − | 1.11429i | ||||
\(779\) | 13.4658 | + | 7.06741i | 0.482463 | + | 0.253216i | ||||
\(780\) | 2.98441 | − | 2.65334i | 0.106859 | − | 0.0950048i | ||||
\(781\) | −31.5386 | + | 16.5527i | −1.12854 | + | 0.592303i | ||||
\(782\) | −2.63277 | + | 2.97178i | −0.0941476 | + | 0.106271i | ||||
\(783\) | 5.88241 | − | 5.21136i | 0.210220 | − | 0.186239i | ||||
\(784\) | 109.431 | + | 26.9723i | 3.90824 | + | 0.963296i | ||||
\(785\) | −3.01373 | − | 0.365933i | −0.107565 | − | 0.0130607i | ||||
\(786\) | 21.6696 | + | 24.4599i | 0.772927 | + | 0.872455i | ||||
\(787\) | −10.8710 | − | 4.12283i | −0.387510 | − | 0.146963i | 0.153153 | − | 0.988202i | \(-0.451057\pi\) |
−0.540663 | + | 0.841239i | \(0.681826\pi\) | |||||||
\(788\) | 20.9588 | − | 39.9336i | 0.746625 | − | 1.42257i | ||||
\(789\) | 3.96217 | − | 2.07951i | 0.141057 | − | 0.0740324i | ||||
\(790\) | 0.0205433 | + | 0.169189i | 0.000730897 | + | 0.00601948i | ||||
\(791\) | −20.6247 | − | 23.2805i | −0.733331 | − | 0.827759i | ||||
\(792\) | −73.8989 | + | 18.2144i | −2.62588 | + | 0.647222i | ||||
\(793\) | 15.6288 | − | 10.8284i | 0.554995 | − | 0.384528i | ||||
\(794\) | 77.6936 | + | 19.1497i | 2.75724 | + | 0.679599i | ||||
\(795\) | 0.333282 | + | 0.635015i | 0.0118203 | + | 0.0225217i | ||||
\(796\) | 46.9120 | − | 24.6213i | 1.66275 | − | 0.872679i | ||||
\(797\) | 0.170181 | + | 0.448729i | 0.00602811 | + | 0.0158948i | 0.937997 | − | 0.346645i | \(-0.112679\pi\) |
−0.931968 | + | 0.362539i | \(0.881910\pi\) | |||||||
\(798\) | −48.7220 | + | 18.4778i | −1.72474 | + | 0.654107i | ||||
\(799\) | −0.902741 | + | 0.623117i | −0.0319367 | + | 0.0220443i | ||||
\(800\) | 8.36128 | − | 33.9231i | 0.295616 | − | 1.19936i | ||||
\(801\) | −8.09136 | + | 5.58506i | −0.285894 | + | 0.197338i | ||||
\(802\) | 6.95690 | − | 57.2952i | 0.245657 | − | 2.02316i | ||||
\(803\) | −8.97840 | − | 23.6741i | −0.316841 | − | 0.835441i | ||||
\(804\) | 13.9775 | − | 26.6319i | 0.492949 | − | 0.939235i | ||||
\(805\) | 4.96739 | − | 7.19651i | 0.175078 | − | 0.253644i | ||||
\(806\) | −0.114734 | − | 65.2383i | −0.00404134 | − | 2.29792i | ||||
\(807\) | 6.19463 | + | 8.97448i | 0.218061 | + | 0.315917i | ||||
\(808\) | −112.659 | + | 13.6793i | −3.96334 | + | 0.481237i | ||||
\(809\) | −13.8235 | + | 3.40719i | −0.486009 | + | 0.119790i | −0.474704 | − | 0.880146i | \(-0.657445\pi\) |
−0.0113053 | + | 0.999936i | \(0.503599\pi\) | |||||||
\(810\) | 3.49353 | − | 5.06124i | 0.122750 | − | 0.177834i | ||||
\(811\) | −9.89642 | + | 11.1707i | −0.347510 | + | 0.392258i | −0.896114 | − | 0.443825i | \(-0.853621\pi\) |
0.548603 | + | 0.836083i | \(0.315160\pi\) | |||||||
\(812\) | −22.9591 | − | 43.7450i | −0.805707 | − | 1.53515i | ||||
\(813\) | −10.4546 | − | 1.26942i | −0.366659 | − | 0.0445205i | ||||
\(814\) | 62.6392 | − | 7.60577i | 2.19550 | − | 0.266582i | ||||
\(815\) | 4.66687 | + | 4.13448i | 0.163473 | + | 0.144825i | ||||
\(816\) | −0.887668 | − | 1.28601i | −0.0310746 | − | 0.0450193i | ||||
\(817\) | −4.34528 | − | 0.527612i | −0.152022 | − | 0.0184588i | ||||
\(818\) | −4.47838 | − | 36.8828i | −0.156583 | − | 1.28958i | ||||
\(819\) | 5.34904 | + | 43.4150i | 0.186910 | + | 1.51704i | ||||
\(820\) | 0.459449 | − | 3.78390i | 0.0160447 | − | 0.132140i | ||||
\(821\) | −6.64187 | + | 26.9471i | −0.231803 | + | 0.940461i | 0.733576 | + | 0.679608i | \(0.237850\pi\) |
−0.965378 | + | 0.260853i | \(0.915996\pi\) | |||||||
\(822\) | −23.7016 | −0.826687 | ||||||||
\(823\) | −21.9186 | −0.764034 | −0.382017 | − | 0.924155i | \(-0.624770\pi\) | ||||
−0.382017 | + | 0.924155i | \(0.624770\pi\) | |||||||
\(824\) | 15.2490 | − | 61.8675i | 0.531223 | − | 2.15526i | ||||
\(825\) | −11.5582 | + | 4.38344i | −0.402404 | + | 0.152612i | ||||
\(826\) | − | 35.2843i | − | 1.22770i | ||||||
\(827\) | −26.3308 | − | 9.98596i | −0.915612 | − | 0.347246i | −0.148614 | − | 0.988895i | \(-0.547481\pi\) |
−0.766998 | + | 0.641649i | \(0.778251\pi\) | |||||||
\(828\) | −55.9595 | + | 13.7928i | −1.94473 | + | 0.479332i | ||||
\(829\) | 12.9483 | + | 11.4712i | 0.449714 | + | 0.398412i | 0.857351 | − | 0.514732i | \(-0.172109\pi\) |
−0.407637 | + | 0.913144i | \(0.633647\pi\) | |||||||
\(830\) | 0.762547 | + | 3.09377i | 0.0264684 | + | 0.107386i | ||||
\(831\) | 6.11203 | + | 5.41478i | 0.212024 | + | 0.187837i | ||||
\(832\) | −2.15194 | + | 8.79730i | −0.0746049 | + | 0.304992i | ||||
\(833\) | −3.43287 | + | 3.04126i | −0.118942 | + | 0.105373i | ||||
\(834\) | −19.2563 | − | 13.2916i | −0.666790 | − | 0.460252i | ||||
\(835\) | −4.17352 | − | 1.02868i | −0.144431 | − | 0.0355989i | ||||
\(836\) | −83.3011 | − | 120.682i | −2.88103 | − | 4.17389i | ||||
\(837\) | 5.66466 | + | 22.9824i | 0.195799 | + | 0.794390i | ||||
\(838\) | 16.4726 | + | 66.8320i | 0.569037 | + | 2.30867i | ||||
\(839\) | −20.8963 | + | 2.53727i | −0.721419 | + | 0.0875961i | −0.473007 | − | 0.881058i | \(-0.656832\pi\) |
−0.248412 | + | 0.968655i | \(0.579909\pi\) | |||||||
\(840\) | 4.90291 | + | 5.53424i | 0.169166 | + | 0.190949i | ||||
\(841\) | 8.34735 | − | 22.0102i | 0.287840 | − | 0.758971i | ||||
\(842\) | 19.2770 | + | 10.1174i | 0.664330 | + | 0.348667i | ||||
\(843\) | 15.1833 | − | 10.4802i | 0.522939 | − | 0.360959i | ||||
\(844\) | −56.5440 | −1.94633 | ||||||||
\(845\) | 3.46285 | − | 3.93656i | 0.119126 | − | 0.135422i | ||||
\(846\) | −22.8323 | −0.784990 | ||||||||
\(847\) | 27.9228 | − | 19.2737i | 0.959439 | − | 0.662253i | ||||
\(848\) | −21.2175 | − | 11.1358i | −0.728613 | − | 0.382406i | ||||
\(849\) | −1.41078 | + | 3.71992i | −0.0484179 | + | 0.127667i | ||||
\(850\) | 2.69416 | + | 3.04108i | 0.0924090 | + | 0.104308i | ||||
\(851\) | 26.8525 | − | 3.26048i | 0.920491 | − | 0.111768i | ||||
\(852\) | −5.45773 | − | 22.1429i | −0.186979 | − | 0.758602i | ||||
\(853\) | 9.55433 | + | 38.7634i | 0.327134 | + | 1.32723i | 0.872327 | + | 0.488924i | \(0.162610\pi\) |
−0.545193 | + | 0.838311i | \(0.683544\pi\) | |||||||
\(854\) | 35.3248 | + | 51.1768i | 1.20879 | + | 1.75123i | ||||
\(855\) | 7.68209 | + | 1.89346i | 0.262722 | + | 0.0647551i | ||||
\(856\) | −79.5803 | − | 54.9303i | −2.72000 | − | 1.87748i | ||||
\(857\) | 20.4879 | − | 18.1507i | 0.699854 | − | 0.620017i | −0.236269 | − | 0.971688i | \(-0.575925\pi\) |
0.936124 | + | 0.351671i | \(0.114386\pi\) | |||||||
\(858\) | 22.1333 | − | 8.43862i | 0.755619 | − | 0.288090i | ||||
\(859\) | 22.1799 | + | 19.6497i | 0.756770 | + | 0.670439i | 0.950538 | − | 0.310608i | \(-0.100533\pi\) |
−0.193769 | + | 0.981047i | \(0.562071\pi\) | |||||||
\(860\) | 0.262554 | + | 1.06522i | 0.00895302 | + | 0.0363238i | ||||
\(861\) | −4.19404 | − | 3.71560i | −0.142933 | − | 0.126627i | ||||
\(862\) | −39.4526 | + | 9.72419i | −1.34376 | + | 0.331207i | ||||
\(863\) | 52.7117 | + | 19.9909i | 1.79433 | + | 0.680498i | 0.997039 | + | 0.0768975i | \(0.0245014\pi\) |
0.797287 | + | 0.603601i | \(0.206268\pi\) | |||||||
\(864\) | − | 24.2912i | − | 0.826405i | ||||||
\(865\) | 3.45544 | − | 1.31048i | 0.117489 | − | 0.0445575i | ||||
\(866\) | −0.693081 | + | 2.81194i | −0.0235518 | + | 0.0955536i | ||||
\(867\) | −10.0647 | −0.341816 | ||||||||
\(868\) | 148.801 | 5.05065 | ||||||||
\(869\) | −0.168727 | + | 0.684554i | −0.00572368 | + | 0.0232219i | ||||
\(870\) | 0.173988 | − | 1.43292i | 0.00589875 | − | 0.0485806i | ||||
\(871\) | 13.9377 | − | 36.9467i | 0.472262 | − | 1.25189i | ||||
\(872\) | 5.05936 | + | 41.6676i | 0.171332 | + | 1.41104i | ||||
\(873\) | −27.7658 | − | 3.37138i | −0.939730 | − | 0.114104i | ||||
\(874\) | −51.2040 | − | 74.1819i | −1.73200 | − | 2.50924i | ||||
\(875\) | −13.6210 | − | 12.0672i | −0.460475 | − | 0.407946i | ||||
\(876\) | 16.0932 | − | 1.95407i | 0.543738 | − | 0.0660218i | ||||
\(877\) | −27.7664 | − | 3.37145i | −0.937605 | − | 0.113846i | −0.362553 | − | 0.931963i | \(-0.618095\pi\) |
−0.575051 | + | 0.818117i | \(0.695018\pi\) | |||||||
\(878\) | 6.31420 | + | 12.0307i | 0.213094 | + | 0.406017i | ||||
\(879\) | −7.82831 | + | 8.83634i | −0.264042 | + | 0.298042i | ||||
\(880\) | −7.88905 | + | 11.4293i | −0.265940 | + | 0.385281i | ||||
\(881\) | −30.0556 | + | 7.40804i | −1.01260 | + | 0.249583i | −0.710503 | − | 0.703694i | \(-0.751532\pi\) |
−0.302096 | + | 0.953278i | \(0.597686\pi\) | |||||||
\(882\) | −94.7674 | + | 11.5068i | −3.19098 | + | 0.387456i | ||||
\(883\) | 4.96950 | + | 7.19957i | 0.167237 | + | 0.242285i | 0.897638 | − | 0.440734i | \(-0.145282\pi\) |
−0.730400 | + | 0.683019i | \(0.760667\pi\) | |||||||
\(884\) | −3.60759 | − | 4.05772i | −0.121336 | − | 0.136476i | ||||
\(885\) | 0.408417 | − | 0.591694i | 0.0137288 | − | 0.0198896i | ||||
\(886\) | −50.2159 | + | 95.6783i | −1.68703 | + | 3.21438i | ||||
\(887\) | −13.8269 | − | 36.4584i | −0.464260 | − | 1.22415i | −0.938966 | − | 0.344009i | \(-0.888215\pi\) |
0.474706 | − | 0.880144i | \(-0.342554\pi\) | |||||||
\(888\) | −2.75684 | + | 22.7046i | −0.0925133 | + | 0.761916i | ||||
\(889\) | 18.0445 | − | 12.4552i | 0.605193 | − | 0.417734i | ||||
\(890\) | −0.922314 | + | 3.74198i | −0.0309160 | + | 0.125431i | ||||
\(891\) | 20.9373 | − | 14.4520i | 0.701427 | − | 0.484160i | ||||
\(892\) | −23.4521 | + | 8.89423i | −0.785236 | + | 0.297801i | ||||
\(893\) | −8.83089 | − | 23.2851i | −0.295515 | − | 0.779208i | ||||
\(894\) | −0.574906 | + | 0.301734i | −0.0192277 | + | 0.0100915i | ||||
\(895\) | 3.92738 | + | 7.48299i | 0.131278 | + | 0.250129i | ||||
\(896\) | 35.5722 | + | 8.76776i | 1.18838 | + | 0.292910i | ||||
\(897\) | 9.48822 | − | 3.61751i | 0.316802 | − | 0.120785i | ||||
\(898\) | −98.8312 | + | 24.3597i | −3.29804 | + | 0.812894i | ||||
\(899\) | −10.9054 | − | 12.3097i | −0.363717 | − | 0.410552i | ||||
\(900\) | 7.10905 | + | 58.5483i | 0.236968 | + | 1.95161i | ||||
\(901\) | 0.863391 | − | 0.453143i | 0.0287637 | − | 0.0150964i | ||||
\(902\) | 10.5073 | − | 20.0200i | 0.349855 | − | 0.666594i | ||||
\(903\) | 1.50794 | + | 0.571886i | 0.0501811 | + | 0.0190312i | ||||
\(904\) | 30.1660 | + | 34.0504i | 1.00331 | + | 1.13250i | ||||
\(905\) | −4.41379 | − | 0.535931i | −0.146719 | − | 0.0178150i | ||||
\(906\) | −19.5975 | − | 4.83035i | −0.651083 | − | 0.160478i | ||||
\(907\) | −1.42072 | + | 1.25865i | −0.0471744 | + | 0.0417928i | −0.686381 | − | 0.727243i | \(-0.740802\pi\) |
0.639206 | + | 0.769035i | \(0.279263\pi\) | |||||||
\(908\) | −22.2624 | + | 25.1291i | −0.738804 | + | 0.833937i | ||||
\(909\) | 39.6194 | − | 20.7939i | 1.31409 | − | 0.689689i | ||||
\(910\) | 12.8547 | + | 11.3480i | 0.426130 | + | 0.376183i | ||||
\(911\) | 1.08743 | + | 0.570726i | 0.0360281 | + | 0.0189090i | 0.482641 | − | 0.875818i | \(-0.339678\pi\) |
−0.446613 | + | 0.894727i | \(0.647370\pi\) | |||||||
\(912\) | 33.1711 | − | 12.5801i | 1.09840 | − | 0.416570i | ||||
\(913\) | −1.58883 | + | 13.0852i | −0.0525827 | + | 0.433058i | ||||
\(914\) | 87.1058 | + | 45.7166i | 2.88120 | + | 1.51217i | ||||
\(915\) | 1.26708i | 0.0418885i | ||||||||
\(916\) | −3.23929 | + | 6.17195i | −0.107029 | + | 0.203927i | ||||
\(917\) | −64.8912 | + | 73.2470i | −2.14289 | + | 2.41883i | ||||
\(918\) | 2.32471 | + | 1.60463i | 0.0767269 | + | 0.0529608i | ||||
\(919\) | −1.95734 | + | 1.73405i | −0.0645665 | + | 0.0572010i | −0.694789 | − | 0.719214i | \(-0.744502\pi\) |
0.630222 | + | 0.776415i | \(0.282964\pi\) | |||||||
\(920\) | −7.26538 | + | 10.5257i | −0.239533 | + | 0.347023i | ||||
\(921\) | 0.907112 | + | 0.344022i | 0.0298904 | + | 0.0113359i | ||||
\(922\) | 1.57074 | − | 4.14169i | 0.0517294 | − | 0.136399i | ||||
\(923\) | −10.6666 | − | 27.9770i | −0.351095 | − | 0.920874i | ||||
\(924\) | 19.1587 | + | 50.5174i | 0.630276 | + | 1.66190i | ||||
\(925\) | − | 27.6805i | − | 0.910128i | ||||||
\(926\) | 30.3732 | − | 80.0876i | 0.998125 | − | 2.63184i | ||||
\(927\) | 3.02819 | + | 24.9394i | 0.0994589 | + | 0.819118i | ||||
\(928\) | 7.84315 | + | 14.9439i | 0.257464 | + | 0.490557i | ||||
\(929\) | −29.8107 | − | 20.5768i | −0.978056 | − | 0.675103i | −0.0321292 | − | 0.999484i | \(-0.510229\pi\) |
−0.945927 | + | 0.324381i | \(0.894844\pi\) | |||||||
\(930\) | 3.57798 | + | 2.46970i | 0.117327 | + | 0.0809846i | ||||
\(931\) | −48.3884 | − | 92.1965i | −1.58587 | − | 3.02162i | ||||
\(932\) | 2.29974 | + | 18.9401i | 0.0753305 | + | 0.620402i | ||||
\(933\) | 1.81149 | − | 4.77650i | 0.0593054 | − | 0.156375i | ||||
\(934\) | − | 43.6501i | − | 1.42827i | ||||||
\(935\) | −0.200394 | − | 0.528396i | −0.00655359 | − | 0.0172804i | ||||
\(936\) | −7.82358 | − | 63.4995i | −0.255722 | − | 2.07555i | ||||
\(937\) | 9.65364 | − | 25.4545i | 0.315371 | − | 0.831564i | −0.679800 | − | 0.733398i | \(-0.737933\pi\) |
0.995170 | − | 0.0981658i | \(-0.0312976\pi\) | |||||||
\(938\) | 120.755 | + | 45.7964i | 3.94279 | + | 1.49530i | ||||
\(939\) | −6.22261 | + | 9.01500i | −0.203067 | + | 0.294194i | ||||
\(940\) | −4.67208 | + | 4.13910i | −0.152386 | + | 0.135003i | ||||
\(941\) | 12.0793 | + | 8.33776i | 0.393775 | + | 0.271803i | 0.748456 | − | 0.663184i | \(-0.230795\pi\) |
−0.354682 | + | 0.934987i | \(0.615411\pi\) | |||||||
\(942\) | 7.64577 | − | 8.63029i | 0.249113 | − | 0.281190i | ||||
\(943\) | 4.50433 | − | 8.58228i | 0.146681 | − | 0.279478i | ||||
\(944\) | 24.0224i | 0.781863i | ||||||||
\(945\) | −5.50879 | − | 2.89124i | −0.179201 | − | 0.0940520i | ||||
\(946\) | −0.784416 | + | 6.46025i | −0.0255036 | + | 0.210041i | ||||
\(947\) | 7.56511 | − | 2.86907i | 0.245833 | − | 0.0932322i | −0.228611 | − | 0.973518i | \(-0.573418\pi\) |
0.474444 | + | 0.880286i | \(0.342649\pi\) | |||||||
\(948\) | −0.399712 | − | 0.209785i | −0.0129820 | − | 0.00681350i | ||||
\(949\) | 20.6565 | − | 5.12991i | 0.670537 | − | 0.166524i | ||||
\(950\) | −81.6742 | + | 42.8659i | −2.64986 | + | 1.39075i | ||||
\(951\) | 2.45772 | − | 2.77419i | 0.0796970 | − | 0.0899593i | ||||
\(952\) | 7.52457 | − | 6.66619i | 0.243873 | − | 0.216052i | ||||
\(953\) | −22.0319 | − | 5.43038i | −0.713684 | − | 0.175907i | −0.134275 | − | 0.990944i | \(-0.542871\pi\) |
−0.579409 | + | 0.815037i | \(0.696717\pi\) | |||||||
\(954\) | 20.1484 | + | 2.44646i | 0.652328 | + | 0.0792070i | ||||
\(955\) | −4.61288 | − | 5.20687i | −0.149269 | − | 0.168490i | ||||
\(956\) | 113.531 | + | 43.0565i | 3.67184 | + | 1.39255i | ||||
\(957\) | 2.77497 | − | 5.28727i | 0.0897021 | − | 0.170913i | ||||
\(958\) | −96.1073 | + | 50.4410i | −3.10509 | + | 1.62967i | ||||
\(959\) | −8.55523 | − | 70.4587i | −0.276263 | − | 2.27523i | ||||
\(960\) | −0.400227 | − | 0.451762i | −0.0129173 | − | 0.0145806i | ||||
\(961\) | 17.9945 | − | 4.43526i | 0.580469 | − | 0.143073i | ||||
\(962\) | 0.0932850 | + | 53.0421i | 0.00300763 | + | 1.71015i | ||||
\(963\) | 37.0171 | + | 9.12390i | 1.19286 | + | 0.294014i | ||||
\(964\) | 8.12556 | + | 15.4820i | 0.261707 | + | 0.498640i | ||||
\(965\) | −3.26938 | + | 1.71590i | −0.105245 | + | 0.0552368i | ||||
\(966\) | 11.7766 | + | 31.0524i | 0.378906 | + | 0.999093i | ||||
\(967\) | −32.1734 | + | 12.2018i | −1.03463 | + | 0.392382i | −0.812701 | − | 0.582682i | \(-0.802004\pi\) |
−0.221926 | + | 0.975064i | \(0.571234\pi\) | |||||||
\(968\) | −40.8403 | + | 28.1901i | −1.31266 | + | 0.906063i | ||||
\(969\) | −0.345481 | + | 1.40167i | −0.0110985 | + | 0.0450282i | ||||
\(970\) | −9.02314 | + | 6.22822i | −0.289715 | + | 0.199976i | ||||
\(971\) | −0.186729 | + | 1.53785i | −0.00599242 | + | 0.0493520i | −0.995398 | − | 0.0958234i | \(-0.969452\pi\) |
0.989406 | + | 0.145175i | \(0.0463747\pi\) | |||||||
\(972\) | 22.2682 | + | 58.7163i | 0.714252 | + | 1.88333i | ||||
\(973\) | 32.5620 | − | 62.0417i | 1.04389 | − | 1.98897i | ||||
\(974\) | −1.44482 | + | 2.09318i | −0.0462950 | + | 0.0670699i | ||||
\(975\) | −2.50453 | − | 10.0849i | −0.0802090 | − | 0.322975i | ||||
\(976\) | −24.0500 | − | 34.8424i | −0.769820 | − | 1.11528i | ||||
\(977\) | 37.4231 | − | 4.54398i | 1.19727 | − | 0.145375i | 0.502481 | − | 0.864588i | \(-0.332421\pi\) |
0.694789 | + | 0.719213i | \(0.255498\pi\) | |||||||
\(978\) | −22.9914 | + | 5.66687i | −0.735184 | + | 0.181207i | ||||
\(979\) | −9.05669 | + | 13.1209i | −0.289453 | + | 0.419345i | ||||
\(980\) | −17.3059 | + | 19.5343i | −0.552816 | + | 0.624000i | ||||
\(981\) | −7.69071 | − | 14.6534i | −0.245545 | − | 0.467848i | ||||
\(982\) | −20.3129 | − | 2.46643i | −0.648210 | − | 0.0787069i | ||||
\(983\) | −16.4398 | + | 1.99616i | −0.524349 | + | 0.0636675i | −0.378432 | − | 0.925629i | \(-0.623536\pi\) |
−0.145918 | + | 0.989297i | \(0.546613\pi\) | |||||||
\(984\) | 6.13427 | + | 5.43449i | 0.195553 | + | 0.173245i | ||||
\(985\) | 2.24153 | + | 3.24741i | 0.0714210 | + | 0.103471i | ||||
\(986\) | −1.94826 | − | 0.236561i | −0.0620451 | − | 0.00753364i | ||||
\(987\) | 1.10598 | + | 9.10858i | 0.0352038 | + | 0.289929i | ||||
\(988\) | 109.047 | − | 57.4773i | 3.46926 | − | 1.82860i | ||||
\(989\) | −0.336267 | + | 2.76941i | −0.0106927 | + | 0.0880621i | ||||
\(990\) | 2.81507 | − | 11.4212i | 0.0894687 | − | 0.362989i | ||||
\(991\) | 36.5566 | 1.16126 | 0.580630 | − | 0.814168i | \(-0.302806\pi\) | ||||
0.580630 | + | 0.814168i | \(0.302806\pi\) | |||||||
\(992\) | −50.8326 | −1.61394 | ||||||||
\(993\) | 2.11654 | − | 8.58713i | 0.0671663 | − | 0.272504i | ||||
\(994\) | 91.5611 | − | 34.7245i | 2.90414 | − | 1.10140i | ||||
\(995\) | 4.63545i | 0.146954i | ||||||||
\(996\) | −7.89122 | − | 2.99274i | −0.250043 | − | 0.0948287i | ||||
\(997\) | −6.05702 | + | 1.49292i | −0.191828 | + | 0.0472813i | −0.334059 | − | 0.942552i | \(-0.608418\pi\) |
0.142231 | + | 0.989833i | \(0.454572\pi\) | |||||||
\(998\) | −6.95475 | − | 6.16137i | −0.220149 | − | 0.195035i | ||||
\(999\) | −4.60567 | − | 18.6859i | −0.145717 | − | 0.591196i |
(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 | 169.2.h.a.12.1 | ✓ | 168 | |
169.155 | even | 26 | inner | 169.2.h.a.155.1 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
169.2.h.a.12.1 | ✓ | 168 | 1.1 | even | 1 | trivial | |
169.2.h.a.155.1 | yes | 168 | 169.155 | even | 26 | inner |