Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,3,Mod(160,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.160");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bo (of order \(6\), 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: | \(7.43871121704\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 160.12 | ||
Character | \(\chi\) | \(=\) | 273.160 |
Dual form | 273.3.bo.d.244.12 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.15840 | + | 0.668803i | 0.579200 | + | 0.334401i | 0.760815 | − | 0.648968i | \(-0.224799\pi\) |
−0.181615 | + | 0.983370i | \(0.558133\pi\) | |||||||
\(3\) | 1.50000 | + | 0.866025i | 0.500000 | + | 0.288675i | ||||
\(4\) | −1.10541 | − | 1.91462i | −0.276352 | − | 0.478655i | ||||
\(5\) | 3.82472 | 0.764945 | 0.382472 | − | 0.923967i | \(-0.375073\pi\) | ||||
0.382472 | + | 0.923967i | \(0.375073\pi\) | |||||||
\(6\) | 1.15840 | + | 2.00641i | 0.193067 | + | 0.334401i | ||||
\(7\) | −6.07257 | − | 3.48194i | −0.867510 | − | 0.497420i | ||||
\(8\) | − | 8.30761i | − | 1.03845i | ||||||
\(9\) | 1.50000 | + | 2.59808i | 0.166667 | + | 0.288675i | ||||
\(10\) | 4.43056 | + | 2.55798i | 0.443056 | + | 0.255798i | ||||
\(11\) | 17.0475 | + | 9.84240i | 1.54978 | + | 0.894763i | 0.998158 | + | 0.0606665i | \(0.0193226\pi\) |
0.551618 | + | 0.834097i | \(0.314011\pi\) | |||||||
\(12\) | − | 3.82924i | − | 0.319103i | ||||||
\(13\) | 11.9140 | − | 5.20156i | 0.916463 | − | 0.400120i | ||||
\(14\) | −4.70573 | − | 8.09483i | −0.336124 | − | 0.578202i | ||||
\(15\) | 5.73708 | + | 3.31231i | 0.382472 | + | 0.220820i | ||||
\(16\) | 1.13453 | − | 1.96506i | 0.0709081 | − | 0.122816i | ||||
\(17\) | 26.1168 | − | 15.0786i | 1.53628 | − | 0.886974i | 0.537232 | − | 0.843434i | \(-0.319470\pi\) |
0.999052 | − | 0.0435393i | \(-0.0138634\pi\) | |||||||
\(18\) | 4.01282i | 0.222934i | ||||||||
\(19\) | −7.26429 | − | 12.5821i | −0.382331 | − | 0.662217i | 0.609064 | − | 0.793121i | \(-0.291545\pi\) |
−0.991395 | + | 0.130904i | \(0.958212\pi\) | |||||||
\(20\) | −4.22787 | − | 7.32289i | −0.211394 | − | 0.366145i | ||||
\(21\) | −6.09340 | − | 10.4819i | −0.290162 | − | 0.499139i | ||||
\(22\) | 13.1652 | + | 22.8029i | 0.598420 | + | 1.03649i | ||||
\(23\) | −15.4983 | + | 26.8438i | −0.673838 | + | 1.16712i | 0.302970 | + | 0.953000i | \(0.402022\pi\) |
−0.976807 | + | 0.214121i | \(0.931311\pi\) | |||||||
\(24\) | 7.19461 | − | 12.4614i | 0.299775 | − | 0.519226i | ||||
\(25\) | −10.3715 | −0.414860 | ||||||||
\(26\) | 17.2800 | + | 1.94264i | 0.664616 | + | 0.0747170i | ||||
\(27\) | 5.19615i | 0.192450i | ||||||||
\(28\) | 0.0460577 | + | 15.4756i | 0.00164492 | + | 0.552701i | ||||
\(29\) | 10.7930 | − | 18.6941i | 0.372174 | − | 0.644624i | −0.617726 | − | 0.786394i | \(-0.711946\pi\) |
0.989900 | + | 0.141769i | \(0.0452792\pi\) | |||||||
\(30\) | 4.43056 | + | 7.67395i | 0.147685 | + | 0.255798i | ||||
\(31\) | −37.6446 | −1.21434 | −0.607170 | − | 0.794572i | \(-0.707695\pi\) | ||||
−0.607170 | + | 0.794572i | \(0.707695\pi\) | |||||||
\(32\) | −26.1499 | + | 15.0977i | −0.817186 | + | 0.471802i | ||||
\(33\) | 17.0475 | + | 29.5272i | 0.516592 | + | 0.894763i | ||||
\(34\) | 40.3383 | 1.18642 | ||||||||
\(35\) | −23.2259 | − | 13.3175i | −0.663597 | − | 0.380499i | ||||
\(36\) | 3.31622 | − | 5.74386i | 0.0921172 | − | 0.159552i | ||||
\(37\) | 38.6187 | + | 22.2965i | 1.04375 | + | 0.602608i | 0.920893 | − | 0.389816i | \(-0.127461\pi\) |
0.122856 | + | 0.992425i | \(0.460795\pi\) | |||||||
\(38\) | − | 19.4335i | − | 0.511408i | ||||||
\(39\) | 22.3757 | + | 2.51551i | 0.573736 | + | 0.0645002i | ||||
\(40\) | − | 31.7743i | − | 0.794358i | ||||||
\(41\) | −6.08738 | + | 10.5436i | −0.148473 | + | 0.257162i | −0.930663 | − | 0.365877i | \(-0.880769\pi\) |
0.782191 | + | 0.623039i | \(0.214102\pi\) | |||||||
\(42\) | −0.0482658 | − | 16.2175i | −0.00114919 | − | 0.386132i | ||||
\(43\) | −5.34090 | − | 9.25071i | −0.124207 | − | 0.215133i | 0.797216 | − | 0.603695i | \(-0.206305\pi\) |
−0.921423 | + | 0.388562i | \(0.872972\pi\) | |||||||
\(44\) | − | 43.5194i | − | 0.989077i | ||||||
\(45\) | 5.73708 | + | 9.93692i | 0.127491 | + | 0.220820i | ||||
\(46\) | −35.9064 | + | 20.7306i | −0.780573 | + | 0.450664i | ||||
\(47\) | 8.11860 | 0.172736 | 0.0863681 | − | 0.996263i | \(-0.472474\pi\) | ||||
0.0863681 | + | 0.996263i | \(0.472474\pi\) | |||||||
\(48\) | 3.40359 | − | 1.96506i | 0.0709081 | − | 0.0409388i | ||||
\(49\) | 24.7522 | + | 42.2887i | 0.505146 | + | 0.863034i | ||||
\(50\) | −12.0143 | − | 6.93648i | −0.240287 | − | 0.138730i | ||||
\(51\) | 52.2336 | 1.02419 | ||||||||
\(52\) | −23.1288 | − | 17.0610i | −0.444785 | − | 0.328096i | ||||
\(53\) | −87.4106 | −1.64926 | −0.824628 | − | 0.565675i | \(-0.808616\pi\) | ||||
−0.824628 | + | 0.565675i | \(0.808616\pi\) | |||||||
\(54\) | −3.47520 | + | 6.01922i | −0.0643556 | + | 0.111467i | ||||
\(55\) | 65.2021 | + | 37.6444i | 1.18549 | + | 0.684444i | ||||
\(56\) | −28.9266 | + | 50.4486i | −0.516547 | + | 0.900867i | ||||
\(57\) | − | 25.1642i | − | 0.441478i | ||||||
\(58\) | 25.0053 | − | 14.4368i | 0.431126 | − | 0.248911i | ||||
\(59\) | 24.5578 | + | 42.5353i | 0.416234 | + | 0.720938i | 0.995557 | − | 0.0941599i | \(-0.0300165\pi\) |
−0.579323 | + | 0.815098i | \(0.696683\pi\) | |||||||
\(60\) | − | 14.6458i | − | 0.244096i | ||||||
\(61\) | −63.5991 | + | 36.7190i | −1.04261 | + | 0.601950i | −0.920571 | − | 0.390575i | \(-0.872276\pi\) |
−0.122037 | + | 0.992526i | \(0.538943\pi\) | |||||||
\(62\) | −43.6075 | − | 25.1768i | −0.703346 | − | 0.406077i | ||||
\(63\) | −0.0624989 | − | 20.9999i | −0.000992045 | − | 0.333332i | ||||
\(64\) | −49.4657 | −0.772901 | ||||||||
\(65\) | 45.5678 | − | 19.8945i | 0.701043 | − | 0.306069i | ||||
\(66\) | 45.6057i | 0.690996i | ||||||||
\(67\) | −29.5071 | − | 17.0360i | −0.440405 | − | 0.254268i | 0.263364 | − | 0.964696i | \(-0.415168\pi\) |
−0.703769 | + | 0.710428i | \(0.748501\pi\) | |||||||
\(68\) | −57.7394 | − | 33.3359i | −0.849109 | − | 0.490233i | ||||
\(69\) | −46.4948 | + | 26.8438i | −0.673838 | + | 0.389040i | ||||
\(70\) | −17.9981 | − | 30.9605i | −0.257116 | − | 0.442293i | ||||
\(71\) | −101.606 | + | 58.6620i | −1.43106 | + | 0.826226i | −0.997202 | − | 0.0747535i | \(-0.976183\pi\) |
−0.433863 | + | 0.900979i | \(0.642850\pi\) | |||||||
\(72\) | 21.5838 | − | 12.4614i | 0.299775 | − | 0.173075i | ||||
\(73\) | 34.1267 | 0.467489 | 0.233745 | − | 0.972298i | \(-0.424902\pi\) | ||||
0.233745 | + | 0.972298i | \(0.424902\pi\) | |||||||
\(74\) | 29.8239 | + | 51.6566i | 0.403026 | + | 0.698062i | ||||
\(75\) | −15.5572 | − | 8.98198i | −0.207430 | − | 0.119760i | ||||
\(76\) | −16.0600 | + | 27.8167i | −0.211316 | + | 0.366009i | ||||
\(77\) | −69.2516 | − | 119.127i | −0.899372 | − | 1.54711i | ||||
\(78\) | 24.2376 | + | 17.8789i | 0.310739 | + | 0.229217i | ||||
\(79\) | 109.869 | 1.39074 | 0.695372 | − | 0.718650i | \(-0.255240\pi\) | ||||
0.695372 | + | 0.718650i | \(0.255240\pi\) | |||||||
\(80\) | 4.33926 | − | 7.51582i | 0.0542407 | − | 0.0939477i | ||||
\(81\) | −4.50000 | + | 7.79423i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −14.1032 | + | 8.14251i | −0.171991 | + | 0.0992989i | ||||
\(83\) | 10.6149 | 0.127890 | 0.0639451 | − | 0.997953i | \(-0.479632\pi\) | ||||
0.0639451 | + | 0.997953i | \(0.479632\pi\) | |||||||
\(84\) | −13.3332 | + | 23.2533i | −0.158728 | + | 0.276825i | ||||
\(85\) | 99.8896 | − | 57.6713i | 1.17517 | − | 0.678486i | ||||
\(86\) | − | 14.2880i | − | 0.166140i | ||||||
\(87\) | 32.3791 | − | 18.6941i | 0.372174 | − | 0.214875i | ||||
\(88\) | 81.7669 | − | 141.624i | 0.929169 | − | 1.60937i | ||||
\(89\) | 24.7394 | − | 42.8499i | 0.277971 | − | 0.481460i | −0.692909 | − | 0.721025i | \(-0.743671\pi\) |
0.970880 | + | 0.239565i | \(0.0770047\pi\) | |||||||
\(90\) | 15.3479i | 0.170532i | ||||||||
\(91\) | −90.4602 | − | 9.89712i | −0.994068 | − | 0.108760i | ||||
\(92\) | 68.5275 | 0.744864 | ||||||||
\(93\) | −56.4668 | − | 32.6011i | −0.607170 | − | 0.350550i | ||||
\(94\) | 9.40459 | + | 5.42974i | 0.100049 | + | 0.0577632i | ||||
\(95\) | −27.7839 | − | 48.1231i | −0.292462 | − | 0.506559i | ||||
\(96\) | −52.2999 | −0.544791 | ||||||||
\(97\) | −71.6120 | − | 124.036i | −0.738268 | − | 1.27872i | −0.953274 | − | 0.302106i | \(-0.902310\pi\) |
0.215006 | − | 0.976613i | \(-0.431023\pi\) | |||||||
\(98\) | 0.390126 | + | 65.5415i | 0.00398088 | + | 0.668791i | ||||
\(99\) | 59.0544i | 0.596509i | ||||||||
\(100\) | 11.4647 | + | 19.8575i | 0.114647 | + | 0.198575i | ||||
\(101\) | 14.3208 | + | 8.26813i | 0.141790 | + | 0.0818627i | 0.569217 | − | 0.822187i | \(-0.307246\pi\) |
−0.427427 | + | 0.904050i | \(0.640580\pi\) | |||||||
\(102\) | 60.5075 | + | 34.9340i | 0.593210 | + | 0.342490i | ||||
\(103\) | 105.428i | 1.02358i | 0.859111 | + | 0.511789i | \(0.171017\pi\) | ||||
−0.859111 | + | 0.511789i | \(0.828983\pi\) | |||||||
\(104\) | −43.2125 | − | 98.9771i | −0.415505 | − | 0.951703i | ||||
\(105\) | −23.3056 | − | 40.0904i | −0.221958 | − | 0.381813i | ||||
\(106\) | −101.256 | − | 58.4604i | −0.955249 | − | 0.551513i | ||||
\(107\) | −43.2822 | + | 74.9669i | −0.404506 | + | 0.700626i | −0.994264 | − | 0.106955i | \(-0.965890\pi\) |
0.589757 | + | 0.807580i | \(0.299223\pi\) | |||||||
\(108\) | 9.94866 | − | 5.74386i | 0.0921172 | − | 0.0531839i | ||||
\(109\) | 110.226i | 1.01125i | 0.862754 | + | 0.505623i | \(0.168737\pi\) | ||||
−0.862754 | + | 0.505623i | \(0.831263\pi\) | |||||||
\(110\) | 50.3534 | + | 87.2147i | 0.457758 | + | 0.792860i | ||||
\(111\) | 38.6187 | + | 66.8895i | 0.347916 | + | 0.602608i | ||||
\(112\) | −13.7317 | + | 7.98261i | −0.122605 | + | 0.0712733i | ||||
\(113\) | −23.0652 | − | 39.9501i | −0.204117 | − | 0.353541i | 0.745734 | − | 0.666244i | \(-0.232099\pi\) |
−0.949851 | + | 0.312703i | \(0.898766\pi\) | |||||||
\(114\) | 16.8299 | − | 29.1503i | 0.147631 | − | 0.255704i | ||||
\(115\) | −59.2766 | + | 102.670i | −0.515448 | + | 0.892783i | ||||
\(116\) | −47.7228 | −0.411403 | ||||||||
\(117\) | 31.3851 | + | 23.1512i | 0.268248 | + | 0.197873i | ||||
\(118\) | 65.6972i | 0.556756i | ||||||||
\(119\) | −211.099 | + | 0.628262i | −1.77394 | + | 0.00527951i | ||||
\(120\) | 27.5174 | − | 47.6615i | 0.229311 | − | 0.397179i | ||||
\(121\) | 133.246 | + | 230.788i | 1.10120 | + | 1.90734i | ||||
\(122\) | −98.2309 | −0.805172 | ||||||||
\(123\) | −18.2621 | + | 10.5436i | −0.148473 | + | 0.0857207i | ||||
\(124\) | 41.6125 | + | 72.0750i | 0.335585 | + | 0.581250i | ||||
\(125\) | −135.286 | −1.08229 | ||||||||
\(126\) | 13.9724 | − | 24.3681i | 0.110892 | − | 0.193398i | ||||
\(127\) | 11.7503 | − | 20.3521i | 0.0925220 | − | 0.160253i | −0.816050 | − | 0.577982i | \(-0.803840\pi\) |
0.908572 | + | 0.417729i | \(0.137174\pi\) | |||||||
\(128\) | 47.2987 | + | 27.3079i | 0.369521 | + | 0.213343i | ||||
\(129\) | − | 18.5014i | − | 0.143422i | ||||||
\(130\) | 66.0913 | + | 7.43007i | 0.508394 | + | 0.0571544i | ||||
\(131\) | − | 142.023i | − | 1.08415i | −0.840331 | − | 0.542073i | \(-0.817640\pi\) | ||
0.840331 | − | 0.542073i | \(-0.182360\pi\) | |||||||
\(132\) | 37.6889 | − | 65.2791i | 0.285522 | − | 0.494539i | ||||
\(133\) | 0.302673 | + | 101.700i | 0.00227574 | + | 0.764659i | ||||
\(134\) | −22.7874 | − | 39.4689i | −0.170055 | − | 0.294544i | ||||
\(135\) | 19.8738i | 0.147214i | ||||||||
\(136\) | −125.267 | − | 216.969i | −0.921080 | − | 1.59536i | ||||
\(137\) | 72.4418 | − | 41.8243i | 0.528772 | − | 0.305287i | −0.211744 | − | 0.977325i | \(-0.567914\pi\) |
0.740516 | + | 0.672038i | \(0.234581\pi\) | |||||||
\(138\) | −71.8128 | −0.520382 | ||||||||
\(139\) | 40.7108 | − | 23.5044i | 0.292883 | − | 0.169096i | −0.346358 | − | 0.938102i | \(-0.612582\pi\) |
0.639241 | + | 0.769006i | \(0.279248\pi\) | |||||||
\(140\) | 0.176158 | + | 59.1900i | 0.00125827 | + | 0.422785i | ||||
\(141\) | 12.1779 | + | 7.03091i | 0.0863681 | + | 0.0498646i | ||||
\(142\) | −156.933 | −1.10516 | ||||||||
\(143\) | 254.300 | + | 28.5888i | 1.77832 | + | 0.199922i | ||||
\(144\) | 6.80717 | 0.0472720 | ||||||||
\(145\) | 41.2804 | − | 71.4997i | 0.284692 | − | 0.493102i | ||||
\(146\) | 39.5324 | + | 22.8240i | 0.270770 | + | 0.156329i | ||||
\(147\) | 0.505170 | + | 84.8690i | 0.00343653 | + | 0.577340i | ||||
\(148\) | − | 98.5868i | − | 0.666127i | ||||||
\(149\) | 16.3315 | − | 9.42899i | 0.109607 | − | 0.0632818i | −0.444194 | − | 0.895931i | \(-0.646510\pi\) |
0.553801 | + | 0.832649i | \(0.313177\pi\) | |||||||
\(150\) | −12.0143 | − | 20.8094i | −0.0800956 | − | 0.138730i | ||||
\(151\) | − | 79.1120i | − | 0.523921i | −0.965079 | − | 0.261960i | \(-0.915631\pi\) | ||
0.965079 | − | 0.261960i | \(-0.0843690\pi\) | |||||||
\(152\) | −104.527 | + | 60.3489i | −0.687680 | + | 0.397032i | ||||
\(153\) | 78.3505 | + | 45.2357i | 0.512095 | + | 0.295658i | ||||
\(154\) | −0.548542 | − | 184.313i | −0.00356196 | − | 1.19683i | ||||
\(155\) | −143.980 | −0.928903 | ||||||||
\(156\) | −19.9180 | − | 45.6216i | −0.127680 | − | 0.292446i | ||||
\(157\) | 156.869i | 0.999167i | 0.866266 | + | 0.499584i | \(0.166514\pi\) | ||||
−0.866266 | + | 0.499584i | \(0.833486\pi\) | |||||||
\(158\) | 127.272 | + | 73.4805i | 0.805519 | + | 0.465066i | ||||
\(159\) | −131.116 | − | 75.6998i | −0.824628 | − | 0.476099i | ||||
\(160\) | −100.016 | + | 57.7444i | −0.625102 | + | 0.360903i | ||||
\(161\) | 187.583 | − | 109.047i | 1.16511 | − | 0.677308i | ||||
\(162\) | −10.4256 | + | 6.01922i | −0.0643556 | + | 0.0371557i | ||||
\(163\) | 126.967 | − | 73.3045i | 0.778939 | − | 0.449721i | −0.0571151 | − | 0.998368i | \(-0.518190\pi\) |
0.836054 | + | 0.548647i | \(0.184857\pi\) | |||||||
\(164\) | 26.9161 | 0.164123 | ||||||||
\(165\) | 65.2021 | + | 112.933i | 0.395164 | + | 0.684444i | ||||
\(166\) | 12.2963 | + | 7.09927i | 0.0740741 | + | 0.0427667i | ||||
\(167\) | −2.72006 | + | 4.71128i | −0.0162878 | + | 0.0282113i | −0.874054 | − | 0.485828i | \(-0.838518\pi\) |
0.857767 | + | 0.514039i | \(0.171851\pi\) | |||||||
\(168\) | −87.0797 | + | 50.6216i | −0.518331 | + | 0.301319i | ||||
\(169\) | 114.888 | − | 123.943i | 0.679808 | − | 0.733390i | ||||
\(170\) | 154.283 | 0.907546 | ||||||||
\(171\) | 21.7929 | − | 37.7464i | 0.127444 | − | 0.220739i | ||||
\(172\) | −11.8077 | + | 20.4516i | −0.0686495 | + | 0.118905i | ||||
\(173\) | −29.3548 | + | 16.9480i | −0.169681 | + | 0.0979654i | −0.582435 | − | 0.812877i | \(-0.697900\pi\) |
0.412754 | + | 0.910842i | \(0.364567\pi\) | |||||||
\(174\) | 50.0106 | 0.287417 | ||||||||
\(175\) | 62.9816 | + | 36.1130i | 0.359895 | + | 0.206360i | ||||
\(176\) | 38.6818 | − | 22.3330i | 0.219783 | − | 0.126892i | ||||
\(177\) | 85.0707i | 0.480625i | ||||||||
\(178\) | 57.3163 | − | 33.0916i | 0.322002 | − | 0.185908i | ||||
\(179\) | −20.6175 | + | 35.7106i | −0.115182 | + | 0.199501i | −0.917852 | − | 0.396922i | \(-0.870078\pi\) |
0.802671 | + | 0.596423i | \(0.203412\pi\) | |||||||
\(180\) | 12.6836 | − | 21.9687i | 0.0704645 | − | 0.122048i | ||||
\(181\) | − | 37.8270i | − | 0.208989i | −0.994525 | − | 0.104495i | \(-0.966678\pi\) | ||
0.994525 | − | 0.104495i | \(-0.0333225\pi\) | |||||||
\(182\) | −98.1699 | − | 71.9648i | −0.539395 | − | 0.395411i | ||||
\(183\) | −127.198 | −0.695072 | ||||||||
\(184\) | 223.008 | + | 128.754i | 1.21200 | + | 0.699748i | ||||
\(185\) | 147.706 | + | 85.2780i | 0.798410 | + | 0.460962i | ||||
\(186\) | −43.6075 | − | 75.5303i | −0.234449 | − | 0.406077i | ||||
\(187\) | 593.637 | 3.17453 | ||||||||
\(188\) | −8.97435 | − | 15.5440i | −0.0477359 | − | 0.0826810i | ||||
\(189\) | 18.0927 | − | 31.5540i | 0.0957286 | − | 0.166952i | ||||
\(190\) | − | 74.3278i | − | 0.391199i | ||||||
\(191\) | 127.874 | + | 221.485i | 0.669498 | + | 1.15960i | 0.978045 | + | 0.208396i | \(0.0668242\pi\) |
−0.308546 | + | 0.951209i | \(0.599843\pi\) | |||||||
\(192\) | −74.1985 | − | 42.8385i | −0.386451 | − | 0.223117i | ||||
\(193\) | −105.674 | − | 61.0110i | −0.547535 | − | 0.316119i | 0.200592 | − | 0.979675i | \(-0.435713\pi\) |
−0.748127 | + | 0.663556i | \(0.769047\pi\) | |||||||
\(194\) | − | 191.577i | − | 0.987512i | ||||||
\(195\) | 85.5809 | + | 9.62112i | 0.438876 | + | 0.0493391i | ||||
\(196\) | 53.6055 | − | 94.1371i | 0.273498 | − | 0.480291i | ||||
\(197\) | 86.8951 | + | 50.1689i | 0.441092 | + | 0.254664i | 0.704061 | − | 0.710140i | \(-0.251368\pi\) |
−0.262969 | + | 0.964804i | \(0.584702\pi\) | |||||||
\(198\) | −39.4957 | + | 68.4086i | −0.199473 | + | 0.345498i | ||||
\(199\) | −89.2433 | + | 51.5247i | −0.448459 | + | 0.258918i | −0.707179 | − | 0.707034i | \(-0.750033\pi\) |
0.258720 | + | 0.965952i | \(0.416699\pi\) | |||||||
\(200\) | 86.1624i | 0.430812i | ||||||||
\(201\) | −29.5071 | − | 51.1079i | −0.146802 | − | 0.254268i | ||||
\(202\) | 11.0595 | + | 19.1556i | 0.0547500 | + | 0.0948298i | ||||
\(203\) | −130.633 | + | 75.9404i | −0.643514 | + | 0.374091i | ||||
\(204\) | −57.7394 | − | 100.008i | −0.283036 | − | 0.490233i | ||||
\(205\) | −23.2825 | + | 40.3265i | −0.113573 | + | 0.196715i | ||||
\(206\) | −70.5108 | + | 122.128i | −0.342286 | + | 0.592856i | ||||
\(207\) | −92.9896 | −0.449225 | ||||||||
\(208\) | 3.29542 | − | 29.3131i | 0.0158434 | − | 0.140928i | ||||
\(209\) | − | 285.992i | − | 1.36838i | ||||||
\(210\) | −0.184603 | − | 62.0276i | −0.000879063 | − | 0.295369i | ||||
\(211\) | −204.813 | + | 354.747i | −0.970678 | + | 1.68126i | −0.277161 | + | 0.960823i | \(0.589394\pi\) |
−0.693517 | + | 0.720440i | \(0.743940\pi\) | |||||||
\(212\) | 96.6242 | + | 167.358i | 0.455774 | + | 0.789425i | ||||
\(213\) | −203.211 | −0.954043 | ||||||||
\(214\) | −100.276 | + | 57.8945i | −0.468580 | + | 0.270535i | ||||
\(215\) | −20.4275 | − | 35.3814i | −0.0950114 | − | 0.164565i | ||||
\(216\) | 43.1676 | 0.199850 | ||||||||
\(217\) | 228.599 | + | 131.076i | 1.05345 | + | 0.604038i | ||||
\(218\) | −73.7193 | + | 127.686i | −0.338162 | + | 0.585714i | ||||
\(219\) | 51.1901 | + | 29.5546i | 0.233745 | + | 0.134953i | ||||
\(220\) | − | 166.450i | − | 0.756589i | ||||||
\(221\) | 232.724 | − | 315.494i | 1.05305 | − | 1.42758i | ||||
\(222\) | 103.313i | 0.465374i | ||||||||
\(223\) | −72.8981 | + | 126.263i | −0.326897 | + | 0.566202i | −0.981894 | − | 0.189429i | \(-0.939336\pi\) |
0.654997 | + | 0.755631i | \(0.272670\pi\) | |||||||
\(224\) | 211.367 | − | 0.629058i | 0.943601 | − | 0.00280830i | ||||
\(225\) | −15.5572 | − | 26.9459i | −0.0691433 | − | 0.119760i | ||||
\(226\) | − | 61.7043i | − | 0.273028i | ||||||
\(227\) | −58.6525 | − | 101.589i | −0.258381 | − | 0.447529i | 0.707427 | − | 0.706786i | \(-0.249856\pi\) |
−0.965808 | + | 0.259257i | \(0.916522\pi\) | |||||||
\(228\) | −48.1800 | + | 27.8167i | −0.211316 | + | 0.122003i | ||||
\(229\) | 2.99627 | 0.0130841 | 0.00654207 | − | 0.999979i | \(-0.497918\pi\) | ||||
0.00654207 | + | 0.999979i | \(0.497918\pi\) | |||||||
\(230\) | −137.332 | + | 79.2886i | −0.597095 | + | 0.344733i | ||||
\(231\) | −0.710301 | − | 238.664i | −0.00307490 | − | 1.03318i | ||||
\(232\) | −155.303 | − | 89.6644i | −0.669411 | − | 0.386485i | ||||
\(233\) | 271.418 | 1.16489 | 0.582443 | − | 0.812872i | \(-0.302097\pi\) | ||||
0.582443 | + | 0.812872i | \(0.302097\pi\) | |||||||
\(234\) | 20.8729 | + | 47.8088i | 0.0892004 | + | 0.204311i | ||||
\(235\) | 31.0514 | 0.132134 | ||||||||
\(236\) | 54.2927 | − | 94.0377i | 0.230054 | − | 0.398465i | ||||
\(237\) | 164.803 | + | 95.1491i | 0.695372 | + | 0.401473i | ||||
\(238\) | −244.957 | − | 140.456i | −1.02923 | − | 0.590150i | ||||
\(239\) | − | 125.573i | − | 0.525408i | −0.964876 | − | 0.262704i | \(-0.915386\pi\) | ||
0.964876 | − | 0.262704i | \(-0.0846143\pi\) | |||||||
\(240\) | 13.0178 | − | 7.51582i | 0.0542407 | − | 0.0313159i | ||||
\(241\) | −205.384 | − | 355.736i | −0.852216 | − | 1.47608i | −0.879204 | − | 0.476446i | \(-0.841925\pi\) |
0.0269876 | − | 0.999636i | \(-0.491409\pi\) | |||||||
\(242\) | 356.460i | 1.47298i | ||||||||
\(243\) | −13.5000 | + | 7.79423i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | 140.606 | + | 81.1787i | 0.576253 | + | 0.332700i | ||||
\(245\) | 94.6701 | + | 161.742i | 0.386409 | + | 0.660173i | ||||
\(246\) | −28.2065 | −0.114660 | ||||||||
\(247\) | −151.994 | − | 112.118i | −0.615358 | − | 0.453919i | ||||
\(248\) | 312.737i | 1.26103i | ||||||||
\(249\) | 15.9223 | + | 9.19277i | 0.0639451 | + | 0.0369187i | ||||
\(250\) | −156.715 | − | 90.4797i | −0.626862 | − | 0.361919i | ||||
\(251\) | 183.064 | − | 105.692i | 0.729338 | − | 0.421083i | −0.0888421 | − | 0.996046i | \(-0.528317\pi\) |
0.818180 | + | 0.574962i | \(0.194983\pi\) | |||||||
\(252\) | −40.1378 | + | 23.3331i | −0.159277 | + | 0.0925916i | ||||
\(253\) | −528.414 | + | 305.080i | −2.08859 | + | 1.20585i | ||||
\(254\) | 27.2231 | − | 15.7173i | 0.107177 | − | 0.0618790i | ||||
\(255\) | 199.779 | 0.783448 | ||||||||
\(256\) | 135.459 | + | 234.621i | 0.529135 | + | 0.916489i | ||||
\(257\) | 334.897 | + | 193.353i | 1.30310 | + | 0.752346i | 0.980935 | − | 0.194336i | \(-0.0622554\pi\) |
0.322167 | + | 0.946683i | \(0.395589\pi\) | |||||||
\(258\) | 12.3738 | − | 21.4320i | 0.0479604 | − | 0.0830699i | ||||
\(259\) | −156.879 | − | 269.865i | −0.605712 | − | 1.04195i | ||||
\(260\) | −88.4614 | − | 65.2535i | −0.340236 | − | 0.250975i | ||||
\(261\) | 64.7583 | 0.248116 | ||||||||
\(262\) | 94.9855 | − | 164.520i | 0.362540 | − | 0.627938i | ||||
\(263\) | 198.479 | − | 343.777i | 0.754675 | − | 1.30714i | −0.190861 | − | 0.981617i | \(-0.561128\pi\) |
0.945536 | − | 0.325518i | \(-0.105539\pi\) | |||||||
\(264\) | 245.301 | − | 141.624i | 0.929169 | − | 0.536456i | ||||
\(265\) | −334.321 | −1.26159 | ||||||||
\(266\) | −67.6664 | + | 118.011i | −0.254385 | + | 0.443651i | ||||
\(267\) | 74.2183 | − | 42.8499i | 0.277971 | − | 0.160487i | ||||
\(268\) | 75.3266i | 0.281069i | ||||||||
\(269\) | −226.448 | + | 130.740i | −0.841814 | + | 0.486021i | −0.857880 | − | 0.513850i | \(-0.828219\pi\) |
0.0160666 | + | 0.999871i | \(0.494886\pi\) | |||||||
\(270\) | −13.2917 | + | 23.0219i | −0.0492284 | + | 0.0852661i | ||||
\(271\) | −105.788 | + | 183.229i | −0.390360 | + | 0.676123i | −0.992497 | − | 0.122270i | \(-0.960983\pi\) |
0.602137 | + | 0.798393i | \(0.294316\pi\) | |||||||
\(272\) | − | 68.4282i | − | 0.251574i | ||||||
\(273\) | −127.119 | − | 93.1865i | −0.465638 | − | 0.341343i | ||||
\(274\) | 111.889 | 0.408353 | ||||||||
\(275\) | −176.808 | − | 102.080i | −0.642940 | − | 0.371201i | ||||
\(276\) | 102.791 | + | 59.3466i | 0.372432 | + | 0.215024i | ||||
\(277\) | 35.5865 | + | 61.6376i | 0.128471 | + | 0.222518i | 0.923084 | − | 0.384597i | \(-0.125660\pi\) |
−0.794613 | + | 0.607116i | \(0.792326\pi\) | |||||||
\(278\) | 62.8791 | 0.226184 | ||||||||
\(279\) | −56.4668 | − | 97.8034i | −0.202390 | − | 0.350550i | ||||
\(280\) | −110.636 | + | 192.952i | −0.395130 | + | 0.689113i | ||||
\(281\) | − | 205.793i | − | 0.732360i | −0.930544 | − | 0.366180i | \(-0.880665\pi\) | ||
0.930544 | − | 0.366180i | \(-0.119335\pi\) | |||||||
\(282\) | 9.40459 | + | 16.2892i | 0.0333496 | + | 0.0577632i | ||||
\(283\) | −389.178 | − | 224.692i | −1.37519 | − | 0.793965i | −0.383612 | − | 0.923494i | \(-0.625320\pi\) |
−0.991576 | + | 0.129529i | \(0.958653\pi\) | |||||||
\(284\) | 224.631 | + | 129.691i | 0.790954 | + | 0.456657i | ||||
\(285\) | − | 96.2463i | − | 0.337706i | ||||||
\(286\) | 275.461 | + | 203.194i | 0.963152 | + | 0.710469i | ||||
\(287\) | 73.6784 | − | 42.8311i | 0.256719 | − | 0.149237i | ||||
\(288\) | −78.4498 | − | 45.2930i | −0.272395 | − | 0.157267i | ||||
\(289\) | 310.226 | − | 537.327i | 1.07345 | − | 1.85926i | ||||
\(290\) | 95.6384 | − | 55.2169i | 0.329788 | − | 0.190403i | ||||
\(291\) | − | 248.071i | − | 0.852479i | ||||||
\(292\) | −37.7239 | − | 65.3397i | −0.129191 | − | 0.223766i | ||||
\(293\) | 9.82283 | + | 17.0136i | 0.0335250 | + | 0.0580671i | 0.882301 | − | 0.470685i | \(-0.155993\pi\) |
−0.848776 | + | 0.528752i | \(0.822660\pi\) | |||||||
\(294\) | −56.1754 | + | 98.6501i | −0.191073 | + | 0.335545i | ||||
\(295\) | 93.9267 | + | 162.686i | 0.318396 | + | 0.551478i | ||||
\(296\) | 185.231 | − | 320.829i | 0.625780 | − | 1.08388i | ||||
\(297\) | −51.1426 | + | 88.5816i | −0.172197 | + | 0.298254i | ||||
\(298\) | 25.2245 | 0.0846460 | ||||||||
\(299\) | −45.0171 | + | 400.432i | −0.150559 | + | 1.33924i | ||||
\(300\) | 39.7149i | 0.132383i | ||||||||
\(301\) | 0.222533 | + | 74.7722i | 0.000739313 | + | 0.248413i | ||||
\(302\) | 52.9103 | − | 91.6434i | 0.175200 | − | 0.303455i | ||||
\(303\) | 14.3208 | + | 24.8044i | 0.0472635 | + | 0.0818627i | ||||
\(304\) | −32.9662 | −0.108441 | ||||||||
\(305\) | −243.249 | + | 140.440i | −0.797538 | + | 0.460459i | ||||
\(306\) | 60.5075 | + | 104.802i | 0.197737 | + | 0.342490i | ||||
\(307\) | −323.275 | −1.05301 | −0.526506 | − | 0.850171i | \(-0.676498\pi\) | ||||
−0.526506 | + | 0.850171i | \(0.676498\pi\) | |||||||
\(308\) | −151.532 | + | 264.274i | −0.491987 | + | 0.858034i | ||||
\(309\) | −91.3038 | + | 158.143i | −0.295481 | + | 0.511789i | ||||
\(310\) | −166.786 | − | 96.2942i | −0.538021 | − | 0.310626i | ||||
\(311\) | 389.084i | 1.25108i | 0.780194 | + | 0.625538i | \(0.215120\pi\) | ||||
−0.780194 | + | 0.625538i | \(0.784880\pi\) | |||||||
\(312\) | 20.8979 | − | 185.889i | 0.0669803 | − | 0.595797i | ||||
\(313\) | 317.270i | 1.01364i | 0.862051 | + | 0.506821i | \(0.169179\pi\) | ||||
−0.862051 | + | 0.506821i | \(0.830821\pi\) | |||||||
\(314\) | −104.915 | + | 181.717i | −0.334123 | + | 0.578718i | ||||
\(315\) | −0.239041 | − | 80.3188i | −0.000758860 | − | 0.254980i | ||||
\(316\) | −121.450 | − | 210.357i | −0.384334 | − | 0.665686i | ||||
\(317\) | 95.6599i | 0.301766i | 0.988552 | + | 0.150883i | \(0.0482117\pi\) | ||||
−0.988552 | + | 0.150883i | \(0.951788\pi\) | |||||||
\(318\) | −101.256 | − | 175.381i | −0.318416 | − | 0.551513i | ||||
\(319\) | 367.990 | − | 212.459i | 1.15357 | − | 0.666015i | ||||
\(320\) | −189.193 | −0.591227 | ||||||||
\(321\) | −129.847 | + | 74.9669i | −0.404506 | + | 0.233542i | ||||
\(322\) | 290.227 | − | 0.863757i | 0.901325 | − | 0.00268248i | ||||
\(323\) | −379.440 | − | 219.070i | −1.17474 | − | 0.678235i | ||||
\(324\) | 19.8973 | 0.0614115 | ||||||||
\(325\) | −123.566 | + | 53.9479i | −0.380204 | + | 0.165994i | ||||
\(326\) | 196.105 | 0.601549 | ||||||||
\(327\) | −95.4584 | + | 165.339i | −0.291922 | + | 0.505623i | ||||
\(328\) | 87.5926 | + | 50.5716i | 0.267051 | + | 0.154182i | ||||
\(329\) | −49.3007 | − | 28.2685i | −0.149850 | − | 0.0859225i | ||||
\(330\) | 174.429i | 0.528574i | ||||||||
\(331\) | −394.217 | + | 227.601i | −1.19099 | + | 0.687618i | −0.958531 | − | 0.284989i | \(-0.908010\pi\) |
−0.232458 | + | 0.972606i | \(0.574677\pi\) | |||||||
\(332\) | −11.7338 | − | 20.3235i | −0.0353427 | − | 0.0612153i | ||||
\(333\) | 133.779i | 0.401739i | ||||||||
\(334\) | −6.30183 | + | 3.63836i | −0.0188678 | + | 0.0108933i | ||||
\(335\) | −112.857 | − | 65.1578i | −0.336886 | − | 0.194501i | ||||
\(336\) | −27.5107 | + | 0.0818761i | −0.0818772 | + | 0.000243679i | ||||
\(337\) | 88.8537 | 0.263661 | 0.131830 | − | 0.991272i | \(-0.457915\pi\) | ||||
0.131830 | + | 0.991272i | \(0.457915\pi\) | |||||||
\(338\) | 215.979 | − | 66.7383i | 0.638992 | − | 0.197451i | ||||
\(339\) | − | 79.9002i | − | 0.235694i | ||||||
\(340\) | −220.837 | − | 127.500i | −0.649521 | − | 0.375001i | ||||
\(341\) | −641.747 | − | 370.513i | −1.88196 | − | 1.08655i | ||||
\(342\) | 50.4897 | − | 29.1503i | 0.147631 | − | 0.0852347i | ||||
\(343\) | −3.06241 | − | 342.986i | −0.00892830 | − | 0.999960i | ||||
\(344\) | −76.8513 | + | 44.3701i | −0.223405 | + | 0.128983i | ||||
\(345\) | −177.830 | + | 102.670i | −0.515448 | + | 0.297594i | ||||
\(346\) | −45.3395 | −0.131039 | ||||||||
\(347\) | −67.9209 | − | 117.642i | −0.195737 | − | 0.339027i | 0.751405 | − | 0.659842i | \(-0.229377\pi\) |
−0.947142 | + | 0.320815i | \(0.896043\pi\) | |||||||
\(348\) | −71.5842 | − | 41.3291i | −0.205702 | − | 0.118762i | ||||
\(349\) | 306.048 | − | 530.091i | 0.876928 | − | 1.51888i | 0.0222339 | − | 0.999753i | \(-0.492922\pi\) |
0.854694 | − | 0.519132i | \(-0.173745\pi\) | |||||||
\(350\) | 48.8055 | + | 83.9555i | 0.139444 | + | 0.239873i | ||||
\(351\) | 27.0281 | + | 61.9071i | 0.0770031 | + | 0.176373i | ||||
\(352\) | −594.389 | −1.68861 | ||||||||
\(353\) | 45.2732 | − | 78.4154i | 0.128253 | − | 0.222140i | −0.794747 | − | 0.606941i | \(-0.792397\pi\) |
0.923000 | + | 0.384801i | \(0.125730\pi\) | |||||||
\(354\) | −56.8955 | + | 98.5459i | −0.160722 | + | 0.278378i | ||||
\(355\) | −388.613 | + | 224.366i | −1.09469 | + | 0.632017i | ||||
\(356\) | −109.388 | −0.307271 | ||||||||
\(357\) | −317.192 | − | 181.875i | −0.888494 | − | 0.509453i | ||||
\(358\) | −47.7667 | + | 27.5781i | −0.133427 | + | 0.0770338i | ||||
\(359\) | − | 76.0290i | − | 0.211780i | −0.994378 | − | 0.105890i | \(-0.966231\pi\) | ||
0.994378 | − | 0.105890i | \(-0.0337691\pi\) | |||||||
\(360\) | 82.5521 | − | 47.6615i | 0.229311 | − | 0.132393i | ||||
\(361\) | 74.9601 | − | 129.835i | 0.207646 | − | 0.359653i | ||||
\(362\) | 25.2988 | − | 43.8188i | 0.0698862 | − | 0.121047i | ||||
\(363\) | 461.576i | 1.27156i | ||||||||
\(364\) | 81.0460 | + | 184.137i | 0.222654 | + | 0.505871i | ||||
\(365\) | 130.525 | 0.357603 | ||||||||
\(366\) | −147.346 | − | 85.0705i | −0.402586 | − | 0.232433i | ||||
\(367\) | 147.789 | + | 85.3261i | 0.402695 | + | 0.232496i | 0.687646 | − | 0.726046i | \(-0.258644\pi\) |
−0.284951 | + | 0.958542i | \(0.591977\pi\) | |||||||
\(368\) | 35.1665 | + | 60.9101i | 0.0955610 | + | 0.165517i | ||||
\(369\) | −36.5243 | −0.0989818 | ||||||||
\(370\) | 114.068 | + | 197.572i | 0.308293 | + | 0.533978i | ||||
\(371\) | 530.807 | + | 304.359i | 1.43075 | + | 0.820374i | ||||
\(372\) | 144.150i | 0.387500i | ||||||||
\(373\) | 298.145 | + | 516.403i | 0.799317 | + | 1.38446i | 0.920061 | + | 0.391774i | \(0.128139\pi\) |
−0.120744 | + | 0.992684i | \(0.538528\pi\) | |||||||
\(374\) | 687.669 | + | 397.026i | 1.83869 | + | 1.06157i | ||||
\(375\) | −202.929 | − | 117.161i | −0.541145 | − | 0.312430i | ||||
\(376\) | − | 67.4462i | − | 0.179378i | ||||||
\(377\) | 31.3501 | − | 278.862i | 0.0831567 | − | 0.739688i | ||||
\(378\) | 42.0620 | − | 24.4517i | 0.111275 | − | 0.0646870i | ||||
\(379\) | −300.931 | − | 173.742i | −0.794013 | − | 0.458423i | 0.0473606 | − | 0.998878i | \(-0.484919\pi\) |
−0.841373 | + | 0.540454i | \(0.818252\pi\) | |||||||
\(380\) | −61.4250 | + | 106.391i | −0.161645 | + | 0.279977i | ||||
\(381\) | 35.2509 | − | 20.3521i | 0.0925220 | − | 0.0534176i | ||||
\(382\) | 342.090i | 0.895524i | ||||||||
\(383\) | −8.40205 | − | 14.5528i | −0.0219375 | − | 0.0379968i | 0.854848 | − | 0.518878i | \(-0.173650\pi\) |
−0.876786 | + | 0.480881i | \(0.840317\pi\) | |||||||
\(384\) | 47.2987 | + | 81.9238i | 0.123174 | + | 0.213343i | ||||
\(385\) | −264.868 | − | 455.628i | −0.687970 | − | 1.18345i | ||||
\(386\) | −81.6087 | − | 141.350i | −0.211421 | − | 0.366193i | ||||
\(387\) | 16.0227 | − | 27.7521i | 0.0414023 | − | 0.0717109i | ||||
\(388\) | −158.321 | + | 274.220i | −0.408043 | + | 0.706752i | ||||
\(389\) | −182.798 | −0.469918 | −0.234959 | − | 0.972005i | \(-0.575496\pi\) | ||||
−0.234959 | + | 0.972005i | \(0.575496\pi\) | |||||||
\(390\) | 92.7023 | + | 68.3818i | 0.237698 | + | 0.175338i | ||||
\(391\) | 934.766i | 2.39071i | ||||||||
\(392\) | 351.318 | − | 205.631i | 0.896219 | − | 0.524570i | ||||
\(393\) | 122.996 | − | 213.035i | 0.312966 | − | 0.542073i | ||||
\(394\) | 67.1062 | + | 116.231i | 0.170320 | + | 0.295003i | ||||
\(395\) | 420.217 | 1.06384 | ||||||||
\(396\) | 113.067 | − | 65.2791i | 0.285522 | − | 0.164846i | ||||
\(397\) | −309.470 | − | 536.017i | −0.779520 | − | 1.35017i | −0.932219 | − | 0.361896i | \(-0.882130\pi\) |
0.152698 | − | 0.988273i | \(-0.451204\pi\) | |||||||
\(398\) | −137.839 | −0.346330 | ||||||||
\(399\) | −87.6205 | + | 152.812i | −0.219600 | + | 0.382986i | ||||
\(400\) | −11.7668 | + | 20.3806i | −0.0294169 | + | 0.0509516i | ||||
\(401\) | −340.674 | − | 196.688i | −0.849562 | − | 0.490495i | 0.0109412 | − | 0.999940i | \(-0.496517\pi\) |
−0.860503 | + | 0.509445i | \(0.829851\pi\) | |||||||
\(402\) | − | 78.9378i | − | 0.196363i | ||||||
\(403\) | −448.498 | + | 195.810i | −1.11290 | + | 0.485882i | ||||
\(404\) | − | 36.5586i | − | 0.0904915i | ||||||
\(405\) | −17.2113 | + | 29.8108i | −0.0424969 | + | 0.0736068i | ||||
\(406\) | −202.115 | + | 0.601524i | −0.497819 | + | 0.00148159i | ||||
\(407\) | 438.902 | + | 760.201i | 1.07838 | + | 1.86782i | ||||
\(408\) | − | 433.937i | − | 1.06357i | ||||||
\(409\) | −100.963 | − | 174.873i | −0.246853 | − | 0.427562i | 0.715798 | − | 0.698307i | \(-0.246063\pi\) |
−0.962651 | + | 0.270745i | \(0.912730\pi\) | |||||||
\(410\) | −53.9410 | + | 31.1428i | −0.131563 | + | 0.0759581i | ||||
\(411\) | 144.884 | 0.352515 | ||||||||
\(412\) | 201.855 | − | 116.541i | 0.489940 | − | 0.282867i | ||||
\(413\) | −1.02322 | − | 343.808i | −0.00247754 | − | 0.832464i | ||||
\(414\) | −107.719 | − | 62.1917i | −0.260191 | − | 0.150221i | ||||
\(415\) | 40.5990 | 0.0978290 | ||||||||
\(416\) | −233.019 | + | 315.894i | −0.560143 | + | 0.759362i | ||||
\(417\) | 81.4215 | 0.195255 | ||||||||
\(418\) | 191.272 | − | 331.293i | 0.457589 | − | 0.792568i | ||||
\(419\) | −496.995 | − | 286.940i | −1.18614 | − | 0.684821i | −0.228717 | − | 0.973493i | \(-0.573453\pi\) |
−0.957428 | + | 0.288672i | \(0.906786\pi\) | |||||||
\(420\) | −50.9958 | + | 88.9375i | −0.121418 | + | 0.211756i | ||||
\(421\) | − | 408.681i | − | 0.970738i | −0.874309 | − | 0.485369i | \(-0.838685\pi\) | ||
0.874309 | − | 0.485369i | \(-0.161315\pi\) | |||||||
\(422\) | −474.511 | + | 273.959i | −1.12443 | + | 0.649192i | ||||
\(423\) | 12.1779 | + | 21.0927i | 0.0287894 | + | 0.0498646i | ||||
\(424\) | 726.173i | 1.71267i | ||||||||
\(425\) | −270.871 | + | 156.387i | −0.637342 | + | 0.367970i | ||||
\(426\) | −235.400 | − | 135.908i | −0.552582 | − | 0.319033i | ||||
\(427\) | 514.063 | − | 1.52993i | 1.20390 | − | 0.00358297i | ||||
\(428\) | 191.378 | 0.447144 | ||||||||
\(429\) | 356.692 | + | 263.114i | 0.831450 | + | 0.613319i | ||||
\(430\) | − | 54.6477i | − | 0.127088i | ||||||
\(431\) | −683.249 | − | 394.474i | −1.58527 | − | 0.915253i | −0.994072 | − | 0.108723i | \(-0.965324\pi\) |
−0.591193 | − | 0.806530i | \(-0.701343\pi\) | |||||||
\(432\) | 10.2108 | + | 5.89519i | 0.0236360 | + | 0.0136463i | ||||
\(433\) | 606.449 | − | 350.133i | 1.40057 | − | 0.808622i | 0.406123 | − | 0.913818i | \(-0.366880\pi\) |
0.994451 | + | 0.105196i | \(0.0335470\pi\) | |||||||
\(434\) | 177.145 | + | 304.726i | 0.408169 | + | 0.702135i | ||||
\(435\) | 123.841 | − | 71.4997i | 0.284692 | − | 0.164367i | ||||
\(436\) | 211.041 | − | 121.844i | 0.484038 | − | 0.279460i | ||||
\(437\) | 450.336 | 1.03052 | ||||||||
\(438\) | 39.5324 | + | 68.4721i | 0.0902566 | + | 0.156329i | ||||
\(439\) | 17.5163 | + | 10.1130i | 0.0399003 | + | 0.0230365i | 0.519817 | − | 0.854277i | \(-0.326000\pi\) |
−0.479917 | + | 0.877314i | \(0.659333\pi\) | |||||||
\(440\) | 312.736 | − | 541.674i | 0.710763 | − | 1.23108i | ||||
\(441\) | −72.7409 | + | 127.741i | −0.164945 | + | 0.289662i | ||||
\(442\) | 480.591 | − | 209.822i | 1.08731 | − | 0.474710i | ||||
\(443\) | 671.812 | 1.51651 | 0.758253 | − | 0.651960i | \(-0.226053\pi\) | ||||
0.758253 | + | 0.651960i | \(0.226053\pi\) | |||||||
\(444\) | 85.3787 | − | 147.880i | 0.192294 | − | 0.333064i | ||||
\(445\) | 94.6215 | − | 163.889i | 0.212632 | − | 0.368290i | ||||
\(446\) | −168.890 | + | 97.5088i | −0.378678 | + | 0.218630i | ||||
\(447\) | 32.6630 | 0.0730715 | ||||||||
\(448\) | 300.384 | + | 172.237i | 0.670499 | + | 0.384457i | ||||
\(449\) | 123.316 | − | 71.1968i | 0.274647 | − | 0.158567i | −0.356351 | − | 0.934352i | \(-0.615979\pi\) |
0.630997 | + | 0.775785i | \(0.282646\pi\) | |||||||
\(450\) | − | 41.6189i | − | 0.0924864i | ||||||
\(451\) | −207.550 | + | 119.829i | −0.460199 | + | 0.265696i | ||||
\(452\) | −50.9928 | + | 88.3222i | −0.112816 | + | 0.195403i | ||||
\(453\) | 68.5130 | − | 118.668i | 0.151243 | − | 0.261960i | ||||
\(454\) | − | 156.908i | − | 0.345612i | ||||||
\(455\) | −345.985 | − | 37.8538i | −0.760407 | − | 0.0831951i | ||||
\(456\) | −209.055 | −0.458454 | ||||||||
\(457\) | 225.588 | + | 130.243i | 0.493628 | + | 0.284996i | 0.726078 | − | 0.687612i | \(-0.241341\pi\) |
−0.232450 | + | 0.972608i | \(0.574674\pi\) | |||||||
\(458\) | 3.47088 | + | 2.00391i | 0.00757834 | + | 0.00437535i | ||||
\(459\) | 78.3505 | + | 135.707i | 0.170698 | + | 0.295658i | ||||
\(460\) | 262.099 | 0.569780 | ||||||||
\(461\) | −376.482 | − | 652.086i | −0.816663 | − | 1.41450i | −0.908127 | − | 0.418694i | \(-0.862488\pi\) |
0.0914641 | − | 0.995808i | \(-0.470845\pi\) | |||||||
\(462\) | 158.797 | − | 276.944i | 0.343716 | − | 0.599446i | ||||
\(463\) | 846.440i | 1.82816i | 0.405529 | + | 0.914082i | \(0.367087\pi\) | ||||
−0.405529 | + | 0.914082i | \(0.632913\pi\) | |||||||
\(464\) | −24.4900 | − | 42.4180i | −0.0527803 | − | 0.0914181i | ||||
\(465\) | −215.970 | − | 124.690i | −0.464452 | − | 0.268151i | ||||
\(466\) | 314.411 | + | 181.525i | 0.674702 | + | 0.389539i | ||||
\(467\) | − | 381.507i | − | 0.816931i | −0.912774 | − | 0.408465i | \(-0.866064\pi\) | ||
0.912774 | − | 0.408465i | \(-0.133936\pi\) | |||||||
\(468\) | 9.63248 | − | 85.6819i | 0.0205822 | − | 0.183081i | ||||
\(469\) | 119.866 | + | 206.194i | 0.255578 | + | 0.439646i | ||||
\(470\) | 35.9699 | + | 20.7673i | 0.0765318 | + | 0.0441856i | ||||
\(471\) | −135.853 | + | 235.304i | −0.288435 | + | 0.499584i | ||||
\(472\) | 353.367 | − | 204.017i | 0.748659 | − | 0.432239i | ||||
\(473\) | − | 210.269i | − | 0.444543i | ||||||
\(474\) | 127.272 | + | 220.441i | 0.268506 | + | 0.465066i | ||||
\(475\) | 75.3416 | + | 130.495i | 0.158614 | + | 0.274727i | ||||
\(476\) | 234.553 | + | 403.480i | 0.492758 | + | 0.847646i | ||||
\(477\) | −131.116 | − | 227.099i | −0.274876 | − | 0.476099i | ||||
\(478\) | 83.9833 | − | 145.463i | 0.175697 | − | 0.304317i | ||||
\(479\) | 250.921 | − | 434.608i | 0.523844 | − | 0.907324i | −0.475771 | − | 0.879569i | \(-0.657831\pi\) |
0.999615 | − | 0.0277551i | \(-0.00883585\pi\) | |||||||
\(480\) | −200.033 | −0.416735 | ||||||||
\(481\) | 576.080 | + | 64.7637i | 1.19767 | + | 0.134644i | ||||
\(482\) | − | 549.446i | − | 1.13993i | ||||||
\(483\) | 375.811 | − | 1.11847i | 0.778077 | − | 0.00231567i | ||||
\(484\) | 294.581 | − | 510.229i | 0.608639 | − | 1.05419i | ||||
\(485\) | −273.896 | − | 474.402i | −0.564734 | − | 0.978149i | ||||
\(486\) | −20.8512 | −0.0429037 | ||||||||
\(487\) | 735.427 | − | 424.599i | 1.51012 | − | 0.871867i | 0.510187 | − | 0.860063i | \(-0.329576\pi\) |
0.999930 | − | 0.0118034i | \(-0.00375722\pi\) | |||||||
\(488\) | 305.047 | + | 528.357i | 0.625096 | + | 1.08270i | ||||
\(489\) | 253.934 | 0.519293 | ||||||||
\(490\) | 1.49212 | + | 250.678i | 0.00304515 | + | 0.511588i | ||||
\(491\) | −267.529 | + | 463.374i | −0.544866 | + | 0.943735i | 0.453749 | + | 0.891129i | \(0.350086\pi\) |
−0.998615 | + | 0.0526061i | \(0.983247\pi\) | |||||||
\(492\) | 40.3742 | + | 23.3100i | 0.0820613 | + | 0.0473781i | ||||
\(493\) | − | 650.974i | − | 1.32043i | ||||||
\(494\) | −101.084 | − | 231.531i | −0.204624 | − | 0.468687i | ||||
\(495\) | 225.867i | 0.456296i | ||||||||
\(496\) | −42.7088 | + | 73.9739i | −0.0861065 | + | 0.149141i | ||||
\(497\) | 821.265 | − | 2.44421i | 1.65244 | − | 0.00491792i | ||||
\(498\) | 12.2963 | + | 21.2978i | 0.0246914 | + | 0.0427667i | ||||
\(499\) | 85.8710i | 0.172086i | 0.996291 | + | 0.0860431i | \(0.0274223\pi\) | ||||
−0.996291 | + | 0.0860431i | \(0.972578\pi\) | |||||||
\(500\) | 149.546 | + | 259.022i | 0.299092 | + | 0.518043i | ||||
\(501\) | −8.16018 | + | 4.71128i | −0.0162878 | + | 0.00940375i | ||||
\(502\) | 282.748 | 0.563243 | ||||||||
\(503\) | −374.333 | + | 216.121i | −0.744201 | + | 0.429665i | −0.823595 | − | 0.567179i | \(-0.808035\pi\) |
0.0793936 | + | 0.996843i | \(0.474702\pi\) | |||||||
\(504\) | −174.459 | + | 0.519216i | −0.346149 | + | 0.00103019i | ||||
\(505\) | 54.7732 | + | 31.6233i | 0.108462 | + | 0.0626204i | ||||
\(506\) | −816.154 | −1.61295 | ||||||||
\(507\) | 279.669 | − | 86.4187i | 0.551616 | − | 0.170451i | ||||
\(508\) | −51.9554 | −0.102274 | ||||||||
\(509\) | 345.130 | − | 597.783i | 0.678055 | − | 1.17443i | −0.297511 | − | 0.954719i | \(-0.596156\pi\) |
0.975566 | − | 0.219708i | \(-0.0705103\pi\) | |||||||
\(510\) | 231.424 | + | 133.613i | 0.453773 | + | 0.261986i | ||||
\(511\) | −207.237 | − | 118.827i | −0.405551 | − | 0.232539i | ||||
\(512\) | 143.917i | 0.281088i | ||||||||
\(513\) | 65.3786 | − | 37.7464i | 0.127444 | − | 0.0735797i | ||||
\(514\) | 258.630 | + | 447.960i | 0.503171 | + | 0.871518i | ||||
\(515\) | 403.235i | 0.782980i | ||||||||
\(516\) | −35.4232 | + | 20.4516i | −0.0686495 | + | 0.0396348i | ||||
\(517\) | 138.402 | + | 79.9065i | 0.267702 | + | 0.154558i | ||||
\(518\) | −1.24264 | − | 417.533i | −0.00239892 | − | 0.806049i | ||||
\(519\) | −58.7096 | −0.113121 | ||||||||
\(520\) | −165.276 | − | 378.560i | −0.317838 | − | 0.728000i | ||||
\(521\) | − | 794.321i | − | 1.52461i | −0.647219 | − | 0.762304i | \(-0.724068\pi\) | ||
0.647219 | − | 0.762304i | \(-0.275932\pi\) | |||||||
\(522\) | 75.0160 | + | 43.3105i | 0.143709 | + | 0.0829703i | ||||
\(523\) | 636.199 | + | 367.310i | 1.21644 | + | 0.702313i | 0.964155 | − | 0.265340i | \(-0.0854842\pi\) |
0.252286 | + | 0.967653i | \(0.418818\pi\) | |||||||
\(524\) | −271.920 | + | 156.993i | −0.518932 | + | 0.299606i | ||||
\(525\) | 63.1977 | + | 108.713i | 0.120377 | + | 0.207073i | ||||
\(526\) | 459.837 | − | 265.487i | 0.874215 | − | 0.504728i | ||||
\(527\) | −983.156 | + | 567.626i | −1.86557 | + | 1.07709i | ||||
\(528\) | 77.3637 | 0.146522 | ||||||||
\(529\) | −215.892 | − | 373.937i | −0.408114 | − | 0.706874i | ||||
\(530\) | −387.278 | − | 223.595i | −0.730713 | − | 0.421877i | ||||
\(531\) | −73.6734 | + | 127.606i | −0.138745 | + | 0.240313i | ||||
\(532\) | 194.382 | − | 112.999i | 0.365379 | − | 0.212404i | ||||
\(533\) | −17.6817 | + | 157.281i | −0.0331740 | + | 0.295086i | ||||
\(534\) | 114.633 | 0.214668 | ||||||||
\(535\) | −165.542 | + | 286.728i | −0.309425 | + | 0.535940i | ||||
\(536\) | −141.528 | + | 245.134i | −0.264045 | + | 0.457340i | ||||
\(537\) | −61.8526 | + | 35.7106i | −0.115182 | + | 0.0665002i | ||||
\(538\) | −349.756 | −0.650105 | ||||||||
\(539\) | 5.74127 | + | 964.538i | 0.0106517 | + | 1.78950i | ||||
\(540\) | 38.0509 | − | 21.9687i | 0.0704645 | − | 0.0406827i | ||||
\(541\) | − | 402.701i | − | 0.744364i | −0.928160 | − | 0.372182i | \(-0.878610\pi\) | ||
0.928160 | − | 0.372182i | \(-0.121390\pi\) | |||||||
\(542\) | −245.089 | + | 141.502i | −0.452193 | + | 0.261074i | ||||
\(543\) | 32.7592 | − | 56.7406i | 0.0603300 | − | 0.104495i | ||||
\(544\) | −455.302 | + | 788.607i | −0.836953 | + | 1.44964i | ||||
\(545\) | 421.583i | 0.773547i | ||||||||
\(546\) | −84.9314 | − | 192.965i | −0.155552 | − | 0.353415i | ||||
\(547\) | 611.662 | 1.11821 | 0.559106 | − | 0.829096i | \(-0.311144\pi\) | ||||
0.559106 | + | 0.829096i | \(0.311144\pi\) | |||||||
\(548\) | −160.155 | − | 92.4657i | −0.292254 | − | 0.168733i | ||||
\(549\) | −190.797 | − | 110.157i | −0.347536 | − | 0.200650i | ||||
\(550\) | −136.543 | − | 236.500i | −0.248260 | − | 0.430000i | ||||
\(551\) | −313.615 | −0.569175 | ||||||||
\(552\) | 223.008 | + | 386.261i | 0.404000 | + | 0.699748i | ||||
\(553\) | −667.185 | − | 382.557i | −1.20648 | − | 0.691784i | ||||
\(554\) | 95.2013i | 0.171844i | ||||||||
\(555\) | 147.706 | + | 255.834i | 0.266137 | + | 0.460962i | ||||
\(556\) | −90.0039 | − | 51.9638i | −0.161877 | − | 0.0934600i | ||||
\(557\) | 24.4780 | + | 14.1324i | 0.0439462 | + | 0.0253724i | 0.521812 | − | 0.853060i | \(-0.325256\pi\) |
−0.477866 | + | 0.878433i | \(0.658590\pi\) | |||||||
\(558\) | − | 151.061i | − | 0.270718i | ||||||
\(559\) | −111.750 | − | 82.4321i | −0.199910 | − | 0.147463i | ||||
\(560\) | −52.5201 | + | 30.5313i | −0.0937859 | + | 0.0545201i | ||||
\(561\) | 890.455 | + | 514.104i | 1.58726 | + | 0.916407i | ||||
\(562\) | 137.635 | − | 238.391i | 0.244902 | − | 0.424183i | ||||
\(563\) | −89.1434 | + | 51.4670i | −0.158336 | + | 0.0914156i | −0.577075 | − | 0.816691i | \(-0.695806\pi\) |
0.418738 | + | 0.908107i | \(0.362472\pi\) | |||||||
\(564\) | − | 31.0881i | − | 0.0551207i | ||||||
\(565\) | −88.2180 | − | 152.798i | −0.156138 | − | 0.270439i | ||||
\(566\) | −300.549 | − | 520.567i | −0.531006 | − | 0.919729i | ||||
\(567\) | 54.4656 | − | 31.6622i | 0.0960593 | − | 0.0558417i | ||||
\(568\) | 487.341 | + | 844.100i | 0.857995 | + | 1.48609i | ||||
\(569\) | −340.096 | + | 589.064i | −0.597708 | + | 1.03526i | 0.395450 | + | 0.918487i | \(0.370589\pi\) |
−0.993159 | + | 0.116774i | \(0.962745\pi\) | |||||||
\(570\) | 64.3697 | − | 111.492i | 0.112929 | − | 0.195599i | ||||
\(571\) | −53.7356 | −0.0941078 | −0.0470539 | − | 0.998892i | \(-0.514983\pi\) | ||||
−0.0470539 | + | 0.998892i | \(0.514983\pi\) | |||||||
\(572\) | −226.369 | − | 518.491i | −0.395749 | − | 0.906453i | ||||
\(573\) | 442.969i | 0.773070i | ||||||||
\(574\) | 113.995 | − | 0.339265i | 0.198597 | − | 0.000591054i | ||||
\(575\) | 160.740 | − | 278.410i | 0.279548 | − | 0.484192i | ||||
\(576\) | −74.1985 | − | 128.516i | −0.128817 | − | 0.223117i | ||||
\(577\) | 274.801 | 0.476259 | 0.238129 | − | 0.971233i | \(-0.423466\pi\) | ||||
0.238129 | + | 0.971233i | \(0.423466\pi\) | |||||||
\(578\) | 718.731 | − | 414.959i | 1.24348 | − | 0.717923i | ||||
\(579\) | −105.674 | − | 183.033i | −0.182512 | − | 0.316119i | ||||
\(580\) | −182.526 | −0.314701 | ||||||||
\(581\) | −64.4597 | − | 36.9605i | −0.110946 | − | 0.0636152i | ||||
\(582\) | 165.911 | − | 287.366i | 0.285070 | − | 0.493756i | ||||
\(583\) | −1490.13 | − | 860.330i | −2.55598 | − | 1.47569i | ||||
\(584\) | − | 283.512i | − | 0.485465i | ||||||
\(585\) | 120.039 | + | 88.5469i | 0.205195 | + | 0.151362i | ||||
\(586\) | 26.2781i | 0.0448433i | ||||||||
\(587\) | 127.728 | − | 221.231i | 0.217595 | − | 0.376885i | −0.736477 | − | 0.676462i | \(-0.763512\pi\) |
0.954072 | + | 0.299577i | \(0.0968456\pi\) | |||||||
\(588\) | 161.933 | − | 94.7819i | 0.275397 | − | 0.161194i | ||||
\(589\) | 273.461 | + | 473.649i | 0.464280 | + | 0.804157i | ||||
\(590\) | 251.274i | 0.425888i | ||||||||
\(591\) | 86.8951 | + | 150.507i | 0.147031 | + | 0.254664i | ||||
\(592\) | 87.6280 | − | 50.5921i | 0.148020 | − | 0.0854596i | ||||
\(593\) | −376.355 | −0.634662 | −0.317331 | − | 0.948315i | \(-0.602787\pi\) | ||||
−0.317331 | + | 0.948315i | \(0.602787\pi\) | |||||||
\(594\) | −118.487 | + | 68.4086i | −0.199473 | + | 0.115166i | ||||
\(595\) | −807.395 | + | 2.40293i | −1.35697 | + | 0.00403853i | ||||
\(596\) | −36.1058 | − | 20.8457i | −0.0605803 | − | 0.0349760i | ||||
\(597\) | −178.487 | −0.298973 | ||||||||
\(598\) | −319.958 | + | 433.753i | −0.535047 | + | 0.725340i | ||||
\(599\) | −46.3874 | −0.0774414 | −0.0387207 | − | 0.999250i | \(-0.512328\pi\) | ||||
−0.0387207 | + | 0.999250i | \(0.512328\pi\) | |||||||
\(600\) | −74.6188 | + | 129.244i | −0.124365 | + | 0.215406i | ||||
\(601\) | 264.199 | + | 152.535i | 0.439599 | + | 0.253803i | 0.703428 | − | 0.710767i | \(-0.251652\pi\) |
−0.263828 | + | 0.964570i | \(0.584985\pi\) | |||||||
\(602\) | −49.7501 | + | 86.7650i | −0.0826413 | + | 0.144128i | ||||
\(603\) | − | 102.216i | − | 0.169512i | ||||||
\(604\) | −151.469 | + | 87.4509i | −0.250777 | + | 0.144786i | ||||
\(605\) | 509.628 | + | 882.701i | 0.842360 | + | 1.45901i | ||||
\(606\) | 38.3112i | 0.0632198i | ||||||||
\(607\) | 323.271 | − | 186.640i | 0.532571 | − | 0.307480i | −0.209492 | − | 0.977810i | \(-0.567181\pi\) |
0.742063 | + | 0.670330i | \(0.233848\pi\) | |||||||
\(608\) | 379.922 | + | 219.348i | 0.624871 | + | 0.360770i | ||||
\(609\) | −261.716 | + | 0.778906i | −0.429747 | + | 0.00127899i | ||||
\(610\) | −375.706 | −0.615912 | ||||||||
\(611\) | 96.7251 | − | 42.2294i | 0.158306 | − | 0.0691151i | ||||
\(612\) | − | 200.015i | − | 0.326822i | ||||||
\(613\) | −230.798 | − | 133.251i | −0.376506 | − | 0.217376i | 0.299791 | − | 0.954005i | \(-0.403083\pi\) |
−0.676297 | + | 0.736629i | \(0.736416\pi\) | |||||||
\(614\) | −374.482 | − | 216.207i | −0.609905 | − | 0.352129i | ||||
\(615\) | −69.8476 | + | 40.3265i | −0.113573 | + | 0.0655716i | ||||
\(616\) | −989.663 | + | 575.316i | −1.60660 | + | 0.933954i | ||||
\(617\) | −208.680 | + | 120.482i | −0.338218 | + | 0.195270i | −0.659484 | − | 0.751719i | \(-0.729225\pi\) |
0.321266 | + | 0.946989i | \(0.395892\pi\) | |||||||
\(618\) | −211.533 | + | 122.128i | −0.342286 | + | 0.197619i | ||||
\(619\) | 168.160 | 0.271664 | 0.135832 | − | 0.990732i | \(-0.456629\pi\) | ||||
0.135832 | + | 0.990732i | \(0.456629\pi\) | |||||||
\(620\) | 159.156 | + | 275.667i | 0.256704 | + | 0.444624i | ||||
\(621\) | −139.484 | − | 80.5313i | −0.224613 | − | 0.129680i | ||||
\(622\) | −260.221 | + | 450.715i | −0.418361 | + | 0.724623i | ||||
\(623\) | −299.433 | + | 174.068i | −0.480631 | + | 0.279403i | ||||
\(624\) | 30.3290 | − | 41.1157i | 0.0486042 | − | 0.0658906i | ||||
\(625\) | −258.145 | −0.413032 | ||||||||
\(626\) | −212.191 | + | 367.525i | −0.338963 | + | 0.587101i | ||||
\(627\) | 247.677 | − | 428.988i | 0.395018 | − | 0.684192i | ||||
\(628\) | 300.345 | − | 173.404i | 0.478256 | − | 0.276121i | ||||
\(629\) | 1344.80 | 2.13799 | ||||||||
\(630\) | 53.4405 | − | 93.2012i | 0.0848262 | − | 0.147938i | ||||
\(631\) | 670.561 | − | 387.149i | 1.06270 | − | 0.613548i | 0.136519 | − | 0.990637i | \(-0.456409\pi\) |
0.926177 | + | 0.377090i | \(0.123075\pi\) | |||||||
\(632\) | − | 912.747i | − | 1.44422i | ||||||
\(633\) | −614.439 | + | 354.747i | −0.970678 | + | 0.560421i | ||||
\(634\) | −63.9776 | + | 110.812i | −0.100911 | + | 0.174783i | ||||
\(635\) | 44.9416 | − | 77.8412i | 0.0707742 | − | 0.122585i | ||||
\(636\) | 334.716i | 0.526283i | ||||||||
\(637\) | 514.864 | + | 375.078i | 0.808264 | + | 0.588820i | ||||
\(638\) | 568.372 | 0.890865 | ||||||||
\(639\) | −304.817 | − | 175.986i | −0.477022 | − | 0.275409i | ||||
\(640\) | 180.904 | + | 104.445i | 0.282663 | + | 0.163196i | ||||
\(641\) | −283.575 | − | 491.166i | −0.442395 | − | 0.766250i | 0.555472 | − | 0.831535i | \(-0.312538\pi\) |
−0.997867 | + | 0.0652852i | \(0.979204\pi\) | |||||||
\(642\) | −200.552 | −0.312387 | ||||||||
\(643\) | 10.8122 | + | 18.7272i | 0.0168152 | + | 0.0291247i | 0.874311 | − | 0.485367i | \(-0.161314\pi\) |
−0.857495 | + | 0.514492i | \(0.827981\pi\) | |||||||
\(644\) | −416.138 | − | 238.609i | −0.646177 | − | 0.370511i | ||||
\(645\) | − | 70.7628i | − | 0.109710i | ||||||
\(646\) | −293.029 | − | 507.542i | −0.453606 | − | 0.785668i | ||||
\(647\) | 40.0140 | + | 23.1021i | 0.0618455 | + | 0.0357065i | 0.530604 | − | 0.847620i | \(-0.321965\pi\) |
−0.468758 | + | 0.883326i | \(0.655299\pi\) | |||||||
\(648\) | 64.7514 | + | 37.3843i | 0.0999251 | + | 0.0576918i | ||||
\(649\) | 966.830i | 1.48972i | ||||||||
\(650\) | −179.220 | − | 20.1481i | −0.275722 | − | 0.0309971i | ||||
\(651\) | 229.383 | + | 394.587i | 0.352355 | + | 0.606124i | ||||
\(652\) | −280.700 | − | 162.062i | −0.430522 | − | 0.248562i | ||||
\(653\) | 170.336 | − | 295.031i | 0.260852 | − | 0.451808i | −0.705617 | − | 0.708594i | \(-0.749330\pi\) |
0.966468 | + | 0.256785i | \(0.0826633\pi\) | |||||||
\(654\) | −221.158 | + | 127.686i | −0.338162 | + | 0.195238i | ||||
\(655\) | − | 543.199i | − | 0.829312i | ||||||
\(656\) | 13.8126 | + | 23.9241i | 0.0210558 | + | 0.0364697i | ||||
\(657\) | 51.1901 | + | 88.6638i | 0.0779149 | + | 0.134953i | ||||
\(658\) | −38.2039 | − | 65.7187i | −0.0580607 | − | 0.0998764i | ||||
\(659\) | −7.11372 | − | 12.3213i | −0.0107947 | − | 0.0186970i | 0.860578 | − | 0.509319i | \(-0.170103\pi\) |
−0.871372 | + | 0.490622i | \(0.836769\pi\) | |||||||
\(660\) | 144.150 | − | 249.674i | 0.218408 | − | 0.378295i | ||||
\(661\) | −124.100 | + | 214.948i | −0.187746 | + | 0.325186i | −0.944498 | − | 0.328516i | \(-0.893452\pi\) |
0.756752 | + | 0.653702i | \(0.226785\pi\) | |||||||
\(662\) | −608.882 | −0.919761 | ||||||||
\(663\) | 622.313 | − | 271.696i | 0.938631 | − | 0.409798i | ||||
\(664\) | − | 88.1844i | − | 0.132808i | ||||||
\(665\) | 1.15764 | + | 388.973i | 0.00174081 | + | 0.584922i | ||||
\(666\) | −89.4718 | + | 154.970i | −0.134342 | + | 0.232687i | ||||
\(667\) | 334.547 | + | 579.452i | 0.501569 | + | 0.868744i | ||||
\(668\) | 12.0271 | 0.0180046 | ||||||||
\(669\) | −218.694 | + | 126.263i | −0.326897 | + | 0.188734i | ||||
\(670\) | −87.1554 | − | 150.958i | −0.130083 | − | 0.225310i | ||||
\(671\) | −1445.61 | −2.15441 | ||||||||
\(672\) | 317.595 | + | 182.105i | 0.472611 | + | 0.270990i | ||||
\(673\) | −558.514 | + | 967.375i | −0.829888 | + | 1.43741i | 0.0682383 | + | 0.997669i | \(0.478262\pi\) |
−0.898126 | + | 0.439738i | \(0.855071\pi\) | |||||||
\(674\) | 102.928 | + | 59.4256i | 0.152712 | + | 0.0881686i | ||||
\(675\) | − | 53.8919i | − | 0.0798398i | ||||||
\(676\) | −364.301 | − | 82.9589i | −0.538907 | − | 0.122720i | ||||
\(677\) | − | 136.217i | − | 0.201207i | −0.994927 | − | 0.100604i | \(-0.967923\pi\) | ||
0.994927 | − | 0.100604i | \(-0.0320774\pi\) | |||||||
\(678\) | 53.4375 | − | 92.5564i | 0.0788163 | − | 0.136514i | ||||
\(679\) | 2.98378 | + | 1002.56i | 0.00439437 | + | 1.47653i | ||||
\(680\) | −479.111 | − | 829.844i | −0.704575 | − | 1.22036i | ||||
\(681\) | − | 203.178i | − | 0.298353i | ||||||
\(682\) | −495.600 | − | 858.404i | −0.726686 | − | 1.25866i | ||||
\(683\) | −358.144 | + | 206.774i | −0.524368 | + | 0.302744i | −0.738720 | − | 0.674012i | \(-0.764569\pi\) |
0.214352 | + | 0.976757i | \(0.431236\pi\) | |||||||
\(684\) | −96.3599 | −0.140877 | ||||||||
\(685\) | 277.070 | − | 159.966i | 0.404482 | − | 0.233528i | ||||
\(686\) | 225.843 | − | 399.364i | 0.329217 | − | 0.582163i | ||||
\(687\) | 4.49440 | + | 2.59484i | 0.00654207 | + | 0.00377707i | ||||
\(688\) | −24.2376 | −0.0352291 | ||||||||
\(689\) | −1041.41 | + | 454.671i | −1.51148 | + | 0.659900i | ||||
\(690\) | −274.664 | −0.398064 | ||||||||
\(691\) | −20.1736 | + | 34.9417i | −0.0291948 | + | 0.0505669i | −0.880254 | − | 0.474503i | \(-0.842628\pi\) |
0.851059 | + | 0.525070i | \(0.175961\pi\) | |||||||
\(692\) | 64.8980 | + | 37.4689i | 0.0937832 | + | 0.0541458i | ||||
\(693\) | 205.624 | − | 358.612i | 0.296716 | − | 0.517477i | ||||
\(694\) | − | 181.703i | − | 0.261819i | ||||||
\(695\) | 155.707 | − | 89.8977i | 0.224039 | − | 0.129349i | ||||
\(696\) | −155.303 | − | 268.993i | −0.223137 | − | 0.386485i | ||||
\(697\) | 367.155i | 0.526765i | ||||||||
\(698\) | 709.052 | − | 409.371i | 1.01583 | − | 0.586492i | ||||
\(699\) | 407.127 | + | 235.055i | 0.582443 | + | 0.336273i | ||||
\(700\) | −0.477688 | − | 160.505i | −0.000682411 | − | 0.229293i | ||||
\(701\) | 967.001 | 1.37946 | 0.689730 | − | 0.724067i | \(-0.257729\pi\) | ||||
0.689730 | + | 0.724067i | \(0.257729\pi\) | |||||||
\(702\) | −10.0943 | + | 89.7896i | −0.0143793 | + | 0.127905i | ||||
\(703\) | − | 647.873i | − | 0.921584i | ||||||
\(704\) | −843.268 | − | 486.861i | −1.19782 | − | 0.691564i | ||||
\(705\) | 46.5771 | + | 26.8913i | 0.0660668 | + | 0.0381437i | ||||
\(706\) | 104.889 | − | 60.5576i | 0.148568 | − | 0.0857757i | ||||
\(707\) | −58.1750 | − | 100.073i | −0.0822843 | − | 0.141546i | ||||
\(708\) | 162.878 | − | 94.0377i | 0.230054 | − | 0.132822i | ||||
\(709\) | 382.482 | − | 220.826i | 0.539466 | − | 0.311461i | −0.205396 | − | 0.978679i | \(-0.565848\pi\) |
0.744863 | + | 0.667218i | \(0.232515\pi\) | |||||||
\(710\) | −600.226 | −0.845389 | ||||||||
\(711\) | 164.803 | + | 285.447i | 0.231791 | + | 0.401473i | ||||
\(712\) | −355.981 | − | 205.526i | −0.499973 | − | 0.288660i | ||||
\(713\) | 583.425 | − | 1010.52i | 0.818268 | − | 1.41728i | ||||
\(714\) | −245.797 | − | 422.823i | −0.344254 | − | 0.592188i | ||||
\(715\) | 972.629 | + | 109.344i | 1.36032 | + | 0.152929i | ||||
\(716\) | 91.1630 | 0.127323 | ||||||||
\(717\) | 108.749 | − | 188.359i | 0.151672 | − | 0.262704i | ||||
\(718\) | 50.8484 | − | 88.0719i | 0.0708194 | − | 0.122663i | ||||
\(719\) | −359.396 | + | 207.498i | −0.499856 | + | 0.288592i | −0.728654 | − | 0.684882i | \(-0.759854\pi\) |
0.228798 | + | 0.973474i | \(0.426520\pi\) | |||||||
\(720\) | 26.0356 | 0.0361605 | ||||||||
\(721\) | 367.096 | − | 640.222i | 0.509148 | − | 0.887963i | ||||
\(722\) | 173.668 | − | 100.267i | 0.240537 | − | 0.138874i | ||||
\(723\) | − | 711.471i | − | 0.984054i | ||||||
\(724\) | −72.4244 | + | 41.8142i | −0.100034 | + | 0.0577545i | ||||
\(725\) | −111.940 | + | 193.886i | −0.154400 | + | 0.267429i | ||||
\(726\) | −308.703 | + | 534.690i | −0.425211 | + | 0.736488i | ||||
\(727\) | 1178.69i | 1.62131i | 0.585522 | + | 0.810657i | \(0.300890\pi\) | ||||
−0.585522 | + | 0.810657i | \(0.699110\pi\) | |||||||
\(728\) | −82.2215 | + | 751.508i | −0.112942 | + | 1.03229i | ||||
\(729\) | −27.0000 | −0.0370370 | ||||||||
\(730\) | 151.200 | + | 87.2956i | 0.207124 | + | 0.119583i | ||||
\(731\) | −278.975 | − | 161.066i | −0.381634 | − | 0.220337i | ||||
\(732\) | 140.606 | + | 243.536i | 0.192084 | + | 0.332700i | ||||
\(733\) | −929.387 | −1.26792 | −0.633961 | − | 0.773365i | \(-0.718572\pi\) | ||||
−0.633961 | + | 0.773365i | \(0.718572\pi\) | |||||||
\(734\) | 114.133 | + | 197.684i | 0.155494 | + | 0.269324i | ||||
\(735\) | 1.93214 | + | 324.600i | 0.00262876 | + | 0.441633i | ||||
\(736\) | − | 935.951i | − | 1.27167i | ||||||
\(737\) | −335.349 | − | 580.842i | −0.455019 | − | 0.788117i | ||||
\(738\) | −42.3097 | − | 24.4275i | −0.0573302 | − | 0.0330996i | ||||
\(739\) | −38.0538 | − | 21.9704i | −0.0514937 | − | 0.0297299i | 0.474032 | − | 0.880508i | \(-0.342798\pi\) |
−0.525526 | + | 0.850778i | \(0.676131\pi\) | |||||||
\(740\) | − | 377.067i | − | 0.509550i | ||||||
\(741\) | −130.893 | − | 299.807i | −0.176644 | − | 0.404598i | ||||
\(742\) | 411.331 | + | 707.574i | 0.554354 | + | 0.953604i | ||||
\(743\) | 572.684 | + | 330.639i | 0.770773 | + | 0.445006i | 0.833150 | − | 0.553047i | \(-0.186535\pi\) |
−0.0623774 | + | 0.998053i | \(0.519868\pi\) | |||||||
\(744\) | −270.838 | + | 469.105i | −0.364029 | + | 0.630517i | ||||
\(745\) | 62.4634 | − | 36.0633i | 0.0838435 | − | 0.0484071i | ||||
\(746\) | 797.601i | 1.06917i | ||||||||
\(747\) | 15.9223 | + | 27.5783i | 0.0213150 | + | 0.0369187i | ||||
\(748\) | −656.210 | − | 1136.59i | −0.877286 | − | 1.51950i | ||||
\(749\) | 523.865 | − | 304.536i | 0.699419 | − | 0.406590i | ||||
\(750\) | −156.715 | − | 271.439i | −0.208954 | − | 0.361919i | ||||
\(751\) | −57.4475 | + | 99.5019i | −0.0764946 | + | 0.132493i | −0.901735 | − | 0.432289i | \(-0.857706\pi\) |
0.825241 | + | 0.564781i | \(0.191039\pi\) | |||||||
\(752\) | 9.21079 | − | 15.9535i | 0.0122484 | − | 0.0212148i | ||||
\(753\) | 366.128 | 0.486225 | ||||||||
\(754\) | 222.820 | − | 302.067i | 0.295517 | − | 0.400620i | ||||
\(755\) | − | 302.582i | − | 0.400770i | ||||||
\(756\) | −80.4137 | + | 0.239323i | −0.106367 | + | 0.000316565i | ||||
\(757\) | −295.481 | + | 511.788i | −0.390332 | + | 0.676074i | −0.992493 | − | 0.122300i | \(-0.960973\pi\) |
0.602162 | + | 0.798374i | \(0.294306\pi\) | |||||||
\(758\) | −232.399 | − | 402.527i | −0.306595 | − | 0.531038i | ||||
\(759\) | −1056.83 | −1.39240 | ||||||||
\(760\) | −399.788 | + | 230.818i | −0.526037 | + | 0.303708i | ||||
\(761\) | 747.466 | + | 1294.65i | 0.982215 | + | 1.70125i | 0.653711 | + | 0.756744i | \(0.273211\pi\) |
0.328504 | + | 0.944502i | \(0.393455\pi\) | |||||||
\(762\) | 54.4462 | 0.0714517 | ||||||||
\(763\) | 383.800 | − | 669.354i | 0.503015 | − | 0.877266i | ||||
\(764\) | 282.706 | − | 489.661i | 0.370034 | − | 0.640917i | ||||
\(765\) | 299.669 | + | 173.014i | 0.391724 | + | 0.226162i | ||||
\(766\) | − | 22.4772i | − | 0.0293437i | ||||||
\(767\) | 513.832 | + | 379.028i | 0.669924 | + | 0.494170i | ||||
\(768\) | 469.242i | 0.610993i | ||||||||
\(769\) | −371.953 | + | 644.241i | −0.483684 | + | 0.837765i | −0.999824 | − | 0.0187391i | \(-0.994035\pi\) |
0.516141 | + | 0.856504i | \(0.327368\pi\) | |||||||
\(770\) | −2.09802 | − | 704.945i | −0.00272470 | − | 0.915512i | ||||
\(771\) | 334.897 | + | 580.059i | 0.434367 | + | 0.752346i | ||||
\(772\) | 269.768i | 0.349440i | ||||||||
\(773\) | 424.960 | + | 736.052i | 0.549754 | + | 0.952202i | 0.998291 | + | 0.0584379i | \(0.0186120\pi\) |
−0.448537 | + | 0.893764i | \(0.648055\pi\) | |||||||
\(774\) | 37.1214 | − | 21.4320i | 0.0479604 | − | 0.0276900i | ||||
\(775\) | 390.430 | 0.503781 | ||||||||
\(776\) | −1030.44 | + | 594.925i | −1.32789 | + | 0.766656i | ||||
\(777\) | −1.60908 | − | 540.659i | −0.00207089 | − | 0.695829i | ||||
\(778\) | −211.753 | − | 122.256i | −0.272176 | − | 0.157141i | ||||
\(779\) | 176.882 | 0.227063 | ||||||||
\(780\) | −76.1809 | − | 174.490i | −0.0976678 | − | 0.223705i | ||||
\(781\) | −2309.50 | −2.95711 | ||||||||
\(782\) | −625.174 | + | 1082.83i | −0.799455 | + | 1.38470i | ||||
\(783\) | 97.1374 | + | 56.0823i | 0.124058 | + | 0.0716249i | ||||
\(784\) | 111.182 | − | 0.661793i | 0.141814 | − | 0.000844124i | ||||
\(785\) | 599.982i | 0.764308i | ||||||||
\(786\) | 284.956 | − | 164.520i | 0.362540 | − | 0.209313i | ||||
\(787\) | 209.639 | + | 363.105i | 0.266377 | + | 0.461378i | 0.967923 | − | 0.251245i | \(-0.0808401\pi\) |
−0.701547 | + | 0.712624i | \(0.747507\pi\) | |||||||
\(788\) | − | 221.828i | − | 0.281508i | ||||||
\(789\) | 595.438 | − | 343.777i | 0.754675 | − | 0.435712i | ||||
\(790\) | 486.780 | + | 281.043i | 0.616177 | + | 0.355750i | ||||
\(791\) | 0.961032 | + | 322.911i | 0.00121496 | + | 0.408232i | ||||
\(792\) | 490.601 | 0.619446 | ||||||||
\(793\) | −566.725 | + | 768.285i | −0.714660 | + | 0.968833i | ||||
\(794\) | − | 827.896i | − | 1.04269i | ||||||
\(795\) | −501.482 | − | 289.531i | −0.630795 | − | 0.364190i | ||||
\(796\) | 197.300 | + | 113.911i | 0.247865 | + | 0.143105i | ||||
\(797\) | 432.423 | − | 249.660i | 0.542563 | − | 0.313249i | −0.203554 | − | 0.979064i | \(-0.565249\pi\) |
0.746117 | + | 0.665815i | \(0.231916\pi\) | |||||||
\(798\) | −203.700 | + | 118.416i | −0.255264 | + | 0.148391i | ||||
\(799\) | 212.032 | − | 122.417i | 0.265372 | − | 0.153212i | ||||
\(800\) | 271.214 | − | 156.585i | 0.339018 | − | 0.195732i | ||||
\(801\) | 148.437 | 0.185314 | ||||||||
\(802\) | −263.091 | − | 455.688i | −0.328044 | − | 0.568189i | ||||
\(803\) | 581.776 | + | 335.889i | 0.724503 | + | 0.418292i | ||||
\(804\) | −65.2348 | + | 112.990i | −0.0811378 | + | 0.140535i | ||||
\(805\) | 717.452 | − | 417.073i | 0.891245 | − | 0.518103i | ||||
\(806\) | −650.499 | − | 73.1299i | −0.807070 | − | 0.0907319i | ||||
\(807\) | −452.896 | −0.561209 | ||||||||
\(808\) | 68.6885 | − | 118.972i | 0.0850105 | − | 0.147242i | ||||
\(809\) | 127.734 | − | 221.241i | 0.157891 | − | 0.273475i | −0.776217 | − | 0.630466i | \(-0.782864\pi\) |
0.934108 | + | 0.356991i | \(0.116197\pi\) | |||||||
\(810\) | −39.8750 | + | 23.0219i | −0.0492284 | + | 0.0284220i | ||||
\(811\) | 1376.19 | 1.69691 | 0.848455 | − | 0.529267i | \(-0.177533\pi\) | ||||
0.848455 | + | 0.529267i | \(0.177533\pi\) | |||||||
\(812\) | 289.800 | + | 166.168i | 0.356896 | + | 0.204640i | ||||
\(813\) | −317.363 | + | 183.229i | −0.390360 | + | 0.225374i | ||||
\(814\) | 1174.16i | 1.44245i | ||||||||
\(815\) | 485.614 | − | 280.369i | 0.595845 | − | 0.344011i | ||||
\(816\) | 59.2606 | − | 102.642i | 0.0726233 | − | 0.125787i | ||||
\(817\) | −77.5957 | + | 134.400i | −0.0949763 | + | 0.164504i | ||||
\(818\) | − | 270.097i | − | 0.330192i | ||||||
\(819\) | −109.977 | − | 249.868i | −0.134282 | − | 0.305089i | ||||
\(820\) | 102.947 | 0.125545 | ||||||||
\(821\) | −111.842 | − | 64.5723i | −0.136227 | − | 0.0786508i | 0.430338 | − | 0.902668i | \(-0.358395\pi\) |
−0.566565 | + | 0.824017i | \(0.691728\pi\) | |||||||
\(822\) | 167.833 | + | 96.8985i | 0.204177 | + | 0.117881i | ||||
\(823\) | −283.207 | − | 490.528i | −0.344115 | − | 0.596025i | 0.641078 | − | 0.767476i | \(-0.278488\pi\) |
−0.985193 | + | 0.171451i | \(0.945154\pi\) | |||||||
\(824\) | 875.859 | 1.06294 | ||||||||
\(825\) | −176.808 | − | 306.241i | −0.214313 | − | 0.371201i | ||||
\(826\) | 228.754 | − | 398.951i | 0.276942 | − | 0.482991i | ||||
\(827\) | − | 575.200i | − | 0.695526i | −0.937583 | − | 0.347763i | \(-0.886941\pi\) | ||
0.937583 | − | 0.347763i | \(-0.113059\pi\) | |||||||
\(828\) | 102.791 | + | 178.040i | 0.124144 | + | 0.215024i | ||||
\(829\) | 683.959 | + | 394.884i | 0.825041 | + | 0.476338i | 0.852152 | − | 0.523295i | \(-0.175297\pi\) |
−0.0271107 | + | 0.999632i | \(0.508631\pi\) | |||||||
\(830\) | 47.0299 | + | 27.1527i | 0.0566625 | + | 0.0327141i | ||||
\(831\) | 123.275i | 0.148346i | ||||||||
\(832\) | −589.335 | + | 257.299i | −0.708336 | + | 0.309253i | ||||
\(833\) | 1284.10 | + | 731.219i | 1.54154 | + | 0.877814i | ||||
\(834\) | 94.3187 | + | 54.4549i | 0.113092 | + | 0.0652937i | ||||
\(835\) | −10.4035 | + | 18.0193i | −0.0124592 | + | 0.0215800i | ||||
\(836\) | −547.566 | + | 316.138i | −0.654984 | + | 0.378155i | ||||
\(837\) | − | 195.607i | − | 0.233700i | ||||||
\(838\) | −383.812 | − | 664.783i | −0.458010 | − | 0.793297i | ||||
\(839\) | −561.910 | − | 973.256i | −0.669738 | − | 1.16002i | −0.977977 | − | 0.208711i | \(-0.933073\pi\) |
0.308240 | − | 0.951309i | \(-0.400260\pi\) | |||||||
\(840\) | −333.056 | + | 193.614i | −0.396495 | + | 0.230492i | ||||
\(841\) | 187.520 | + | 324.795i | 0.222973 | + | 0.386201i | ||||
\(842\) | 273.327 | − | 473.416i | 0.324616 | − | 0.562252i | ||||
\(843\) | 178.222 | − | 308.690i | 0.211414 | − | 0.366180i | ||||
\(844\) | 905.607 | 1.07299 | ||||||||
\(845\) | 439.413 | − | 474.047i | 0.520016 | − | 0.561003i | ||||
\(846\) | 32.5784i | 0.0385088i | ||||||||
\(847\) | −5.55180 | − | 1865.43i | −0.00655466 | − | 2.20240i | ||||
\(848\) | −99.1698 | + | 171.767i | −0.116946 | + | 0.202556i | ||||
\(849\) | −389.178 | − | 674.076i | −0.458396 | − | 0.793965i | ||||
\(850\) | −418.369 | −0.492198 | ||||||||
\(851\) | −1197.05 | + | 691.114i | −1.40663 | + | 0.812120i | ||||
\(852\) | 224.631 | + | 389.072i | 0.263651 | + | 0.456657i | ||||
\(853\) | −740.889 | −0.868569 | −0.434285 | − | 0.900776i | \(-0.642999\pi\) | ||||
−0.434285 | + | 0.900776i | \(0.642999\pi\) | |||||||
\(854\) | 596.514 | + | 342.035i | 0.698494 | + | 0.400509i | ||||
\(855\) | 83.3517 | − | 144.369i | 0.0974874 | − | 0.168853i | ||||
\(856\) | 622.796 | + | 359.572i | 0.727566 | + | 0.420060i | ||||
\(857\) | − | 216.662i | − | 0.252815i | −0.991978 | − | 0.126407i | \(-0.959655\pi\) | ||
0.991978 | − | 0.126407i | \(-0.0403446\pi\) | |||||||
\(858\) | 237.221 | + | 543.348i | 0.276481 | + | 0.633272i | ||||
\(859\) | − | 1464.68i | − | 1.70510i | −0.522648 | − | 0.852549i | \(-0.675056\pi\) | ||
0.522648 | − | 0.852549i | \(-0.324944\pi\) | |||||||
\(860\) | −45.1613 | + | 78.2216i | −0.0525131 | + | 0.0909554i | ||||
\(861\) | 147.610 | − | 0.439311i | 0.171441 | − | 0.000510233i | ||||
\(862\) | −527.651 | − | 913.918i | −0.612124 | − | 1.06023i | ||||
\(863\) | 761.209i | 0.882050i | 0.897495 | + | 0.441025i | \(0.145385\pi\) | ||||
−0.897495 | + | 0.441025i | \(0.854615\pi\) | |||||||
\(864\) | −78.4498 | − | 135.879i | −0.0907984 | − | 0.157267i | ||||
\(865\) | −112.274 | + | 64.8214i | −0.129797 | + | 0.0749381i | ||||
\(866\) | 936.680 | 1.08162 | ||||||||
\(867\) | 930.677 | − | 537.327i | 1.07345 | − | 0.619754i | ||||
\(868\) | −1.73382 | − | 582.573i | −0.00199749 | − | 0.671167i | ||||
\(869\) | 1872.99 | + | 1081.37i | 2.15534 | + | 1.24439i | ||||
\(870\) | 191.277 | 0.219858 | ||||||||
\(871\) | −440.162 | − | 49.4836i | −0.505353 | − | 0.0568124i | ||||
\(872\) | 915.714 | 1.05013 | ||||||||
\(873\) | 214.836 | − | 372.107i | 0.246089 | − | 0.426239i | ||||
\(874\) | 521.669 | + | 301.186i | 0.596875 | + | 0.344606i | ||||
\(875\) | 821.534 | + | 471.059i | 0.938896 | + | 0.538353i | ||||
\(876\) | − | 130.679i | − | 0.149177i | ||||||
\(877\) | −371.500 | + | 214.485i | −0.423603 | + | 0.244567i | −0.696618 | − | 0.717443i | \(-0.745313\pi\) |
0.273015 | + | 0.962010i | \(0.411979\pi\) | |||||||
\(878\) | 13.5272 | + | 23.4298i | 0.0154069 | + | 0.0266855i | ||||
\(879\) | 34.0273i | 0.0387114i | ||||||||
\(880\) | 147.947 | − | 85.4174i | 0.168122 | − | 0.0970653i | ||||
\(881\) | −618.727 | − | 357.222i | −0.702301 | − | 0.405474i | 0.105903 | − | 0.994376i | \(-0.466227\pi\) |
−0.808204 | + | 0.588903i | \(0.799560\pi\) | |||||||
\(882\) | −169.697 | + | 99.3258i | −0.192400 | + | 0.112614i | ||||
\(883\) | 14.2009 | 0.0160826 | 0.00804129 | − | 0.999968i | \(-0.497440\pi\) | ||||
0.00804129 | + | 0.999968i | \(0.497440\pi\) | |||||||
\(884\) | −861.307 | − | 96.8292i | −0.974329 | − | 0.109535i | ||||
\(885\) | 325.372i | 0.367652i | ||||||||
\(886\) | 778.227 | + | 449.310i | 0.878360 | + | 0.507122i | ||||
\(887\) | −346.521 | − | 200.064i | −0.390667 | − | 0.225552i | 0.291782 | − | 0.956485i | \(-0.405752\pi\) |
−0.682449 | + | 0.730933i | \(0.739085\pi\) | |||||||
\(888\) | 555.692 | − | 320.829i | 0.625780 | − | 0.361294i | ||||
\(889\) | −142.219 | + | 82.6757i | −0.159977 | + | 0.0929985i | ||||
\(890\) | 219.219 | − | 126.566i | 0.246313 | − | 0.142209i | ||||
\(891\) | −153.428 | + | 88.5816i | −0.172197 | + | 0.0994182i | ||||
\(892\) | 322.328 | 0.361354 | ||||||||
\(893\) | −58.9759 | − | 102.149i | −0.0660424 | − | 0.114389i | ||||
\(894\) | 37.8368 | + | 21.8451i | 0.0423230 | + | 0.0244352i | ||||
\(895\) | −78.8563 | + | 136.583i | −0.0881076 | + | 0.152607i | ||||
\(896\) | −192.140 | − | 330.521i | −0.214442 | − | 0.368885i | ||||
\(897\) | −414.310 | + | 561.663i | −0.461884 | + | 0.626157i | ||||
\(898\) | 190.466 | 0.212101 | ||||||||
\(899\) | −406.299 | + | 703.731i | −0.451946 | + | 0.782793i | ||||
\(900\) | −34.3941 | + | 59.5724i | −0.0382157 | + | 0.0661916i | ||||
\(901\) | −2282.89 | + | 1318.03i | −2.53373 | + | 1.46285i | ||||
\(902\) | −320.567 | −0.355396 | ||||||||
\(903\) | −64.4208 | + | 112.351i | −0.0713409 | + | 0.124420i | ||||
\(904\) | −331.890 | + | 191.617i | −0.367135 | + | 0.211965i | ||||
\(905\) | − | 144.678i | − | 0.159865i | ||||||
\(906\) | 158.731 | − | 91.6434i | 0.175200 | − | 0.101152i | ||||
\(907\) | −91.6901 | + | 158.812i | −0.101092 | + | 0.175096i | −0.912135 | − | 0.409891i | \(-0.865567\pi\) |
0.811043 | + | 0.584987i | \(0.198900\pi\) | |||||||
\(908\) | −129.670 | + | 224.595i | −0.142808 | + | 0.247351i | ||||
\(909\) | 49.6088i | 0.0545751i | ||||||||
\(910\) | −375.473 | − | 275.246i | −0.412607 | − | 0.302468i | ||||
\(911\) | −1477.27 | −1.62160 | −0.810798 | − | 0.585327i | \(-0.800966\pi\) | ||||
−0.810798 | + | 0.585327i | \(0.800966\pi\) | |||||||
\(912\) | −49.4493 | − | 28.5496i | −0.0542207 | − | 0.0313043i | ||||
\(913\) | 180.958 | + | 104.476i | 0.198201 | + | 0.114432i | ||||
\(914\) | 174.214 | + | 301.747i | 0.190606 | + | 0.330139i | ||||
\(915\) | −486.498 | −0.531692 | ||||||||
\(916\) | −3.31209 | − | 5.73672i | −0.00361582 | − | 0.00626279i | ||||
\(917\) | −494.517 | + | 862.445i | −0.539276 | + | 0.940507i | ||||
\(918\) | 209.604i | 0.228327i | ||||||||
\(919\) | −645.751 | − | 1118.47i | −0.702667 | − | 1.21705i | −0.967527 | − | 0.252768i | \(-0.918659\pi\) |
0.264860 | − | 0.964287i | \(-0.414674\pi\) | |||||||
\(920\) | 852.943 | + | 492.447i | 0.927112 | + | 0.535268i | ||||
\(921\) | −484.912 | − | 279.964i | −0.526506 | − | 0.303979i | ||||
\(922\) | − | 1007.17i | − | 1.09237i | ||||||
\(923\) | −905.397 | + | 1227.41i | −0.980928 | + | 1.32980i | ||||
\(924\) | −456.166 | + | 265.181i | −0.493687 | + | 0.286993i | ||||
\(925\) | −400.534 | − | 231.248i | −0.433009 | − | 0.249998i | ||||
\(926\) | −566.101 | + | 980.516i | −0.611340 | + | 1.05887i | ||||
\(927\) | −273.911 | + | 158.143i | −0.295481 | + | 0.170596i | ||||
\(928\) | 651.800i | 0.702370i | ||||||||
\(929\) | −771.911 | − | 1336.99i | −0.830906 | − | 1.43917i | −0.897321 | − | 0.441379i | \(-0.854489\pi\) |
0.0664151 | − | 0.997792i | \(-0.478844\pi\) | |||||||
\(930\) | −166.786 | − | 288.883i | −0.179340 | − | 0.310626i | ||||
\(931\) | 352.274 | − | 618.632i | 0.378383 | − | 0.664481i | ||||
\(932\) | −300.028 | − | 519.663i | −0.321918 | − | 0.557578i | ||||
\(933\) | −336.957 | + | 583.627i | −0.361154 | + | 0.625538i | ||||
\(934\) | 255.153 | − | 441.937i | 0.273183 | − | 0.473166i | ||||
\(935\) | 2270.50 | 2.42834 | ||||||||
\(936\) | 192.331 | − | 260.735i | 0.205482 | − | 0.278563i | ||||
\(937\) | 412.429i | 0.440159i | 0.975482 | + | 0.220080i | \(0.0706318\pi\) | ||||
−0.975482 | + | 0.220080i | \(0.929368\pi\) | |||||||
\(938\) | 0.949457 | + | 319.022i | 0.00101221 | + | 0.340109i | ||||
\(939\) | −274.764 | + | 475.905i | −0.292613 | + | 0.506821i | ||||
\(940\) | −34.3244 | − | 59.4516i | −0.0365153 | − | 0.0632464i | ||||
\(941\) | 169.051 | 0.179650 | 0.0898252 | − | 0.995958i | \(-0.471369\pi\) | ||||
0.0898252 | + | 0.995958i | \(0.471369\pi\) | |||||||
\(942\) | −314.744 | + | 181.717i | −0.334123 | + | 0.192906i | ||||
\(943\) | −188.688 | − | 326.816i | −0.200093 | − | 0.346571i | ||||
\(944\) | 111.446 | 0.118057 | ||||||||
\(945\) | 69.1996 | − | 120.685i | 0.0732271 | − | 0.127709i | ||||
\(946\) | 140.628 | − | 243.576i | 0.148656 | − | 0.257479i | ||||
\(947\) | 243.015 | + | 140.305i | 0.256616 | + | 0.148157i | 0.622790 | − | 0.782389i | \(-0.285999\pi\) |
−0.366174 | + | 0.930546i | \(0.619332\pi\) | |||||||
\(948\) | − | 420.714i | − | 0.443791i | ||||||
\(949\) | 406.586 | − | 177.512i | 0.428436 | − | 0.187052i | ||||
\(950\) | 201.555i | 0.212163i | ||||||||
\(951\) | −82.8439 | + | 143.490i | −0.0871124 | + | 0.150883i | ||||
\(952\) | 5.21936 | + | 1753.73i | 0.00548252 | + | 1.84215i | ||||
\(953\) | −96.5493 | − | 167.228i | −0.101311 | − | 0.175476i | 0.810914 | − | 0.585165i | \(-0.198970\pi\) |
−0.912225 | + | 0.409690i | \(0.865637\pi\) | |||||||
\(954\) | − | 350.762i | − | 0.367676i | ||||||
\(955\) | 489.083 | + | 847.117i | 0.512129 | + | 0.887033i | ||||
\(956\) | −240.424 | + | 138.809i | −0.251489 | + | 0.145197i | ||||
\(957\) | 735.979 | 0.769048 | ||||||||
\(958\) | 581.334 | − | 335.634i | 0.606821 | − | 0.350348i | ||||
\(959\) | −585.538 | + | 1.74265i | −0.610571 | + | 0.00181715i | ||||
\(960\) | −283.789 | − | 163.846i | −0.295613 | − | 0.170672i | ||||
\(961\) | 456.113 | 0.474623 | ||||||||
\(962\) | 624.017 | + | 460.306i | 0.648667 | + | 0.478489i | ||||
\(963\) | −259.693 | −0.269671 | ||||||||
\(964\) | −454.066 | + | 786.465i | −0.471023 | + | 0.815835i | ||||
\(965\) | −404.174 | − | 233.350i | −0.418834 | − | 0.241814i | ||||
\(966\) | 436.088 | + | 250.048i | 0.451437 | + | 0.258849i | ||||
\(967\) | − | 499.335i | − | 0.516375i | −0.966095 | − | 0.258188i | \(-0.916875\pi\) | ||
0.966095 | − | 0.258188i | \(-0.0831253\pi\) | |||||||
\(968\) | 1917.30 | − | 1106.95i | 1.98068 | − | 1.14355i | ||||
\(969\) | −379.440 | − | 657.210i | −0.391579 | − | 0.678235i | ||||
\(970\) | − | 732.730i | − | 0.755392i | ||||||
\(971\) | 554.917 | − | 320.381i | 0.571490 | − | 0.329950i | −0.186254 | − | 0.982502i | \(-0.559635\pi\) |
0.757744 | + | 0.652552i | \(0.226301\pi\) | |||||||
\(972\) | 29.8460 | + | 17.2316i | 0.0307057 | + | 0.0177280i | ||||
\(973\) | −329.060 | + | 0.979331i | −0.338191 | + | 0.00100651i | ||||
\(974\) | 1135.89 | 1.16621 | ||||||||
\(975\) | −232.070 | − | 26.0896i | −0.238020 | − | 0.0267585i | ||||
\(976\) | 166.635i | 0.170732i | ||||||||
\(977\) | 1178.64 | + | 680.488i | 1.20639 | + | 0.696508i | 0.961968 | − | 0.273162i | \(-0.0880695\pi\) |
0.244419 | + | 0.969670i | \(0.421403\pi\) | |||||||
\(978\) | 294.157 | + | 169.832i | 0.300774 | + | 0.173652i | ||||
\(979\) | 843.493 | − | 486.991i | 0.861586 | − | 0.497437i | ||||
\(980\) | 205.026 | − | 360.048i | 0.209211 | − | 0.367396i | ||||
\(981\) | −286.375 | + | 165.339i | −0.291922 | + | 0.168541i | ||||
\(982\) | −619.812 | + | 357.848i | −0.631173 | + | 0.364408i | ||||
\(983\) | 1177.67 | 1.19803 | 0.599017 | − | 0.800736i | \(-0.295558\pi\) | ||||
0.599017 | + | 0.800736i | \(0.295558\pi\) | |||||||
\(984\) | 87.5926 | + | 151.715i | 0.0890168 | + | 0.154182i | ||||
\(985\) | 332.350 | + | 191.882i | 0.337411 | + | 0.194804i | ||||
\(986\) | 435.373 | − | 754.088i | 0.441555 | − | 0.764795i | ||||
\(987\) | −49.4699 | − | 85.0984i | −0.0501215 | − | 0.0862193i | ||||
\(988\) | −46.6488 | + | 414.946i | −0.0472153 | + | 0.419986i | ||||
\(989\) | 331.099 | 0.334781 | ||||||||
\(990\) | −151.060 | + | 261.644i | −0.152586 | + | 0.264287i | ||||
\(991\) | −23.7546 | + | 41.1441i | −0.0239703 | + | 0.0415178i | −0.877762 | − | 0.479097i | \(-0.840964\pi\) |
0.853791 | + | 0.520615i | \(0.174297\pi\) | |||||||
\(992\) | 984.403 | − | 568.345i | 0.992342 | − | 0.572929i | ||||
\(993\) | −788.434 | −0.793992 | ||||||||
\(994\) | 952.988 | + | 546.432i | 0.958740 | + | 0.549731i | ||||
\(995\) | −341.331 | + | 197.068i | −0.343046 | + | 0.198058i | ||||
\(996\) | − | 40.6470i | − | 0.0408102i | ||||||
\(997\) | 940.549 | − | 543.026i | 0.943380 | − | 0.544660i | 0.0523614 | − | 0.998628i | \(-0.483325\pi\) |
0.891018 | + | 0.453968i | \(0.149992\pi\) | |||||||
\(998\) | −57.4308 | + | 99.4730i | −0.0575459 | + | 0.0996723i | ||||
\(999\) | −115.856 | + | 200.669i | −0.115972 | + | 0.200869i |
(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 | 273.3.bo.d.160.12 | yes | 36 | |
7.6 | odd | 2 | 273.3.bo.c.160.12 | ✓ | 36 | ||
13.10 | even | 6 | 273.3.bo.c.244.12 | yes | 36 | ||
91.62 | odd | 6 | inner | 273.3.bo.d.244.12 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.3.bo.c.160.12 | ✓ | 36 | 7.6 | odd | 2 | ||
273.3.bo.c.244.12 | yes | 36 | 13.10 | even | 6 | ||
273.3.bo.d.160.12 | yes | 36 | 1.1 | even | 1 | trivial | |
273.3.bo.d.244.12 | yes | 36 | 91.62 | odd | 6 | inner |