Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,3,Mod(5,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 1, 8]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.q (of order \(16\), degree \(8\), 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: | \(5.23162107572\) |
Analytic rank: | \(0\) |
Dimension: | \(496\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 5.11 | ||
Character | \(\chi\) | \(=\) | 192.5 |
Dual form | 192.3.q.a.77.11 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.74186 | + | 0.982818i | −0.870929 | + | 0.491409i | ||||
\(3\) | −0.766801 | − | 2.90035i | −0.255600 | − | 0.966783i | ||||
\(4\) | 2.06814 | − | 3.42386i | 0.517035 | − | 0.855964i | ||||
\(5\) | 1.45744 | − | 7.32705i | 0.291488 | − | 1.46541i | −0.506240 | − | 0.862392i | \(-0.668965\pi\) |
0.797728 | − | 0.603017i | \(-0.206035\pi\) | |||||||
\(6\) | 4.18617 | + | 4.29837i | 0.697695 | + | 0.716395i | ||||
\(7\) | 4.63081 | − | 11.1798i | 0.661544 | − | 1.59711i | −0.133839 | − | 0.991003i | \(-0.542730\pi\) |
0.795383 | − | 0.606107i | \(-0.207270\pi\) | |||||||
\(8\) | −0.237375 | + | 7.99648i | −0.0296719 | + | 0.999560i | ||||
\(9\) | −7.82403 | + | 4.44798i | −0.869337 | + | 0.494220i | ||||
\(10\) | 4.66250 | + | 14.1951i | 0.466250 | + | 1.41951i | ||||
\(11\) | −11.2914 | + | 7.54469i | −1.02649 | + | 0.685881i | −0.950339 | − | 0.311216i | \(-0.899264\pi\) |
−0.0761534 | + | 0.997096i | \(0.524264\pi\) | |||||||
\(12\) | −11.5162 | − | 3.37290i | −0.959686 | − | 0.281075i | ||||
\(13\) | 11.3601 | − | 2.25967i | 0.873855 | − | 0.173821i | 0.262266 | − | 0.964996i | \(-0.415530\pi\) |
0.611590 | + | 0.791175i | \(0.290530\pi\) | |||||||
\(14\) | 2.92146 | + | 24.0248i | 0.208676 | + | 1.71606i | ||||
\(15\) | −22.3685 | + | 1.39130i | −1.49124 | + | 0.0927534i | ||||
\(16\) | −7.44561 | − | 14.1620i | −0.465350 | − | 0.885127i | ||||
\(17\) | 6.02985 | + | 6.02985i | 0.354697 | + | 0.354697i | 0.861854 | − | 0.507157i | \(-0.169303\pi\) |
−0.507157 | + | 0.861854i | \(0.669303\pi\) | |||||||
\(18\) | 9.25680 | − | 15.4373i | 0.514267 | − | 0.857630i | ||||
\(19\) | 2.66875 | + | 13.4167i | 0.140460 | + | 0.706142i | 0.985261 | + | 0.171060i | \(0.0547192\pi\) |
−0.844800 | + | 0.535082i | \(0.820281\pi\) | |||||||
\(20\) | −22.0726 | − | 20.1434i | −1.10363 | − | 1.00717i | ||||
\(21\) | −35.9761 | − | 4.85831i | −1.71315 | − | 0.231348i | ||||
\(22\) | 12.2530 | − | 24.2392i | 0.556954 | − | 1.10178i | ||||
\(23\) | −9.27341 | − | 22.3880i | −0.403192 | − | 0.973391i | −0.986886 | − | 0.161418i | \(-0.948393\pi\) |
0.583694 | − | 0.811973i | \(-0.301607\pi\) | |||||||
\(24\) | 23.3746 | − | 5.44323i | 0.973941 | − | 0.226801i | ||||
\(25\) | −28.4645 | − | 11.7904i | −1.13858 | − | 0.471615i | ||||
\(26\) | −17.5669 | + | 15.1010i | −0.675649 | + | 0.580806i | ||||
\(27\) | 18.9002 | + | 19.2817i | 0.700006 | + | 0.714137i | ||||
\(28\) | −28.7008 | − | 38.9765i | −1.02503 | − | 1.39202i | ||||
\(29\) | 20.1199 | + | 13.4437i | 0.693791 | + | 0.463576i | 0.851804 | − | 0.523861i | \(-0.175509\pi\) |
−0.158013 | + | 0.987437i | \(0.550509\pi\) | |||||||
\(30\) | 37.5954 | − | 24.4077i | 1.25318 | − | 0.813589i | ||||
\(31\) | − | 32.6756i | − | 1.05405i | −0.849850 | − | 0.527025i | \(-0.823307\pi\) | ||
0.849850 | − | 0.527025i | \(-0.176693\pi\) | |||||||
\(32\) | 26.8879 | + | 17.3506i | 0.840246 | + | 0.542205i | ||||
\(33\) | 30.5405 | + | 26.9638i | 0.925469 | + | 0.817084i | ||||
\(34\) | −16.4294 | − | 4.57690i | −0.483218 | − | 0.134615i | ||||
\(35\) | −75.1656 | − | 50.2240i | −2.14759 | − | 1.43497i | ||||
\(36\) | −0.951943 | + | 35.9874i | −0.0264429 | + | 0.999650i | ||||
\(37\) | −8.00748 | + | 40.2563i | −0.216418 | + | 1.08801i | 0.707878 | + | 0.706334i | \(0.249652\pi\) |
−0.924297 | + | 0.381674i | \(0.875348\pi\) | |||||||
\(38\) | −17.8347 | − | 20.7471i | −0.469335 | − | 0.545976i | ||||
\(39\) | −15.2648 | − | 31.2156i | −0.391404 | − | 0.800400i | ||||
\(40\) | 58.2446 | + | 13.3936i | 1.45612 | + | 0.334841i | ||||
\(41\) | −0.296995 | − | 0.717010i | −0.00724378 | − | 0.0174880i | 0.920216 | − | 0.391410i | \(-0.128013\pi\) |
−0.927460 | + | 0.373922i | \(0.878013\pi\) | |||||||
\(42\) | 67.4401 | − | 26.8955i | 1.60572 | − | 0.640369i | ||||
\(43\) | 6.68847 | − | 4.46910i | 0.155546 | − | 0.103932i | −0.475362 | − | 0.879791i | \(-0.657683\pi\) |
0.630907 | + | 0.775858i | \(0.282683\pi\) | |||||||
\(44\) | 2.47971 | + | 54.2637i | 0.0563571 | + | 1.23327i | ||||
\(45\) | 21.1875 | + | 63.8097i | 0.470833 | + | 1.41799i | ||||
\(46\) | 38.1563 | + | 29.8826i | 0.829485 | + | 0.649623i | ||||
\(47\) | −37.6255 | − | 37.6255i | −0.800542 | − | 0.800542i | 0.182638 | − | 0.983180i | \(-0.441536\pi\) |
−0.983180 | + | 0.182638i | \(0.941536\pi\) | |||||||
\(48\) | −35.3655 | + | 32.4543i | −0.736781 | + | 0.676131i | ||||
\(49\) | −68.8946 | − | 68.8946i | −1.40601 | − | 1.40601i | ||||
\(50\) | 61.1689 | − | 7.43824i | 1.22338 | − | 0.148765i | ||||
\(51\) | 12.8650 | − | 22.1124i | 0.252254 | − | 0.433576i | ||||
\(52\) | 15.7575 | − | 43.5687i | 0.303029 | − | 0.837861i | ||||
\(53\) | 11.9581 | − | 7.99012i | 0.225624 | − | 0.150757i | −0.437621 | − | 0.899160i | \(-0.644179\pi\) |
0.663245 | + | 0.748403i | \(0.269179\pi\) | |||||||
\(54\) | −51.8718 | − | 15.0106i | −0.960589 | − | 0.277974i | ||||
\(55\) | 38.8237 | + | 93.7287i | 0.705885 | + | 1.70416i | ||||
\(56\) | 88.2995 | + | 39.6840i | 1.57678 | + | 0.708642i | ||||
\(57\) | 36.8667 | − | 18.0282i | 0.646784 | − | 0.316284i | ||||
\(58\) | −48.2588 | − | 3.64280i | −0.832048 | − | 0.0628070i | ||||
\(59\) | −2.59794 | + | 13.0607i | −0.0440329 | + | 0.221368i | −0.996536 | − | 0.0831600i | \(-0.973499\pi\) |
0.952503 | + | 0.304528i | \(0.0984987\pi\) | |||||||
\(60\) | −41.4976 | + | 79.4641i | −0.691627 | + | 1.32440i | ||||
\(61\) | 68.3844 | + | 45.6930i | 1.12106 | + | 0.749065i | 0.970873 | − | 0.239593i | \(-0.0770141\pi\) |
0.150182 | + | 0.988658i | \(0.452014\pi\) | |||||||
\(62\) | 32.1141 | + | 56.9162i | 0.517970 | + | 0.918003i | ||||
\(63\) | 13.4957 | + | 108.069i | 0.214218 | + | 1.71537i | ||||
\(64\) | −63.8873 | − | 3.79632i | −0.998239 | − | 0.0593176i | ||||
\(65\) | − | 86.5295i | − | 1.33122i | ||||||
\(66\) | −79.6977 | − | 16.9513i | −1.20754 | − | 0.256838i | ||||
\(67\) | −25.9270 | − | 17.3239i | −0.386970 | − | 0.258565i | 0.346833 | − | 0.937927i | \(-0.387257\pi\) |
−0.733804 | + | 0.679361i | \(0.762257\pi\) | |||||||
\(68\) | 33.1159 | − | 8.17479i | 0.486999 | − | 0.120218i | ||||
\(69\) | −57.8221 | + | 44.0632i | −0.838002 | + | 0.638598i | ||||
\(70\) | 180.289 | + | 13.6091i | 2.57555 | + | 0.194415i | ||||
\(71\) | 31.1044 | + | 12.8839i | 0.438090 | + | 0.181463i | 0.590817 | − | 0.806805i | \(-0.298805\pi\) |
−0.152727 | + | 0.988268i | \(0.548805\pi\) | |||||||
\(72\) | −33.7109 | − | 63.6205i | −0.468207 | − | 0.883619i | ||||
\(73\) | 36.2193 | + | 87.4412i | 0.496155 | + | 1.19782i | 0.951539 | + | 0.307529i | \(0.0995022\pi\) |
−0.455383 | + | 0.890295i | \(0.650498\pi\) | |||||||
\(74\) | −25.6167 | − | 77.9907i | −0.346172 | − | 1.05393i | ||||
\(75\) | −12.3696 | + | 91.5978i | −0.164928 | + | 1.22130i | ||||
\(76\) | 51.4562 | + | 18.6102i | 0.677055 | + | 0.244871i | ||||
\(77\) | 32.0594 | + | 161.173i | 0.416356 | + | 2.09316i | ||||
\(78\) | 57.2683 | + | 39.3706i | 0.734209 | + | 0.504752i | ||||
\(79\) | −87.0954 | − | 87.0954i | −1.10247 | − | 1.10247i | −0.994112 | − | 0.108362i | \(-0.965439\pi\) |
−0.108362 | − | 0.994112i | \(-0.534561\pi\) | |||||||
\(80\) | −114.617 | + | 33.9140i | −1.43272 | + | 0.423925i | ||||
\(81\) | 41.4310 | − | 69.6022i | 0.511494 | − | 0.859287i | ||||
\(82\) | 1.22201 | + | 0.957037i | 0.0149026 | + | 0.0116712i | ||||
\(83\) | 95.9127 | − | 19.0782i | 1.15557 | − | 0.229858i | 0.420143 | − | 0.907458i | \(-0.361980\pi\) |
0.735431 | + | 0.677600i | \(0.236980\pi\) | |||||||
\(84\) | −91.0378 | + | 113.129i | −1.08378 | + | 1.34678i | ||||
\(85\) | 52.9692 | − | 35.3929i | 0.623167 | − | 0.416387i | ||||
\(86\) | −7.25806 | + | 14.3581i | −0.0843961 | + | 0.166954i | ||||
\(87\) | 23.5635 | − | 68.6634i | 0.270844 | − | 0.789235i | ||||
\(88\) | −57.6506 | − | 92.0825i | −0.655121 | − | 1.04639i | ||||
\(89\) | 52.6944 | − | 127.216i | 0.592072 | − | 1.42939i | −0.289425 | − | 0.957201i | \(-0.593464\pi\) |
0.881498 | − | 0.472189i | \(-0.156536\pi\) | |||||||
\(90\) | −99.6189 | − | 90.3240i | −1.10688 | − | 1.00360i | ||||
\(91\) | 27.3440 | − | 137.468i | 0.300484 | − | 1.51063i | ||||
\(92\) | −95.8320 | − | 14.5506i | −1.04165 | − | 0.158159i | ||||
\(93\) | −94.7705 | + | 25.0556i | −1.01904 | + | 0.269415i | ||||
\(94\) | 102.517 | + | 28.5593i | 1.09061 | + | 0.303822i | ||||
\(95\) | 102.194 | 1.07573 | ||||||||
\(96\) | 29.7050 | − | 91.2886i | 0.309427 | − | 0.950923i | ||||
\(97\) | 87.5637i | 0.902719i | 0.892342 | + | 0.451359i | \(0.149061\pi\) | ||||
−0.892342 | + | 0.451359i | \(0.850939\pi\) | |||||||
\(98\) | 187.715 | + | 52.2937i | 1.91546 | + | 0.533610i | ||||
\(99\) | 54.7859 | − | 109.254i | 0.553393 | − | 1.10357i | ||||
\(100\) | −99.2371 | + | 73.0742i | −0.992371 | + | 0.730742i | ||||
\(101\) | −92.6302 | − | 18.4253i | −0.917131 | − | 0.182429i | −0.286112 | − | 0.958196i | \(-0.592363\pi\) |
−0.631019 | + | 0.775767i | \(0.717363\pi\) | |||||||
\(102\) | −0.676534 | + | 51.1605i | −0.00663268 | + | 0.501574i | ||||
\(103\) | −43.5492 | − | 18.0387i | −0.422807 | − | 0.175133i | 0.161127 | − | 0.986934i | \(-0.448487\pi\) |
−0.583934 | + | 0.811801i | \(0.698487\pi\) | |||||||
\(104\) | 15.3728 | + | 91.3773i | 0.147815 | + | 0.878628i | ||||
\(105\) | −88.0301 | + | 256.518i | −0.838382 | + | 2.44303i | ||||
\(106\) | −12.9764 | + | 25.6703i | −0.122419 | + | 0.242172i | ||||
\(107\) | −54.4849 | − | 81.5424i | −0.509205 | − | 0.762079i | 0.484418 | − | 0.874837i | \(-0.339031\pi\) |
−0.993622 | + | 0.112758i | \(0.964031\pi\) | |||||||
\(108\) | 105.106 | − | 24.8342i | 0.973203 | − | 0.229946i | ||||
\(109\) | −24.8834 | − | 125.097i | −0.228288 | − | 1.14768i | −0.909535 | − | 0.415628i | \(-0.863562\pi\) |
0.681247 | − | 0.732054i | \(-0.261438\pi\) | |||||||
\(110\) | −159.744 | − | 125.105i | −1.45221 | − | 1.13732i | ||||
\(111\) | 122.897 | − | 7.64410i | 1.10718 | − | 0.0688657i | ||||
\(112\) | −192.807 | + | 17.6585i | −1.72149 | + | 0.157665i | ||||
\(113\) | 25.9075 | − | 25.9075i | 0.229270 | − | 0.229270i | −0.583118 | − | 0.812388i | \(-0.698167\pi\) |
0.812388 | + | 0.583118i | \(0.198167\pi\) | |||||||
\(114\) | −46.4981 | + | 67.6358i | −0.407878 | + | 0.593297i | ||||
\(115\) | −177.553 | + | 35.3176i | −1.54394 | + | 0.307109i | ||||
\(116\) | 87.6402 | − | 41.0843i | 0.755519 | − | 0.354175i | ||||
\(117\) | −78.8310 | + | 68.2093i | −0.673769 | + | 0.582985i | ||||
\(118\) | −8.31107 | − | 25.3032i | −0.0704328 | − | 0.214434i | ||||
\(119\) | 95.3355 | − | 39.4892i | 0.801138 | − | 0.331842i | ||||
\(120\) | −5.81577 | − | 179.200i | −0.0484648 | − | 1.49333i | ||||
\(121\) | 24.2692 | − | 58.5910i | 0.200572 | − | 0.484223i | ||||
\(122\) | −164.024 | − | 12.3813i | −1.34446 | − | 0.101486i | ||||
\(123\) | −1.85184 | + | 1.41119i | −0.0150556 | + | 0.0114731i | ||||
\(124\) | −111.876 | − | 67.5776i | −0.902229 | − | 0.544980i | ||||
\(125\) | −24.1130 | + | 36.0876i | −0.192904 | + | 0.288701i | ||||
\(126\) | −129.719 | − | 174.976i | −1.02952 | − | 1.38870i | ||||
\(127\) | 168.650 | 1.32795 | 0.663975 | − | 0.747755i | \(-0.268868\pi\) | ||||
0.663975 | + | 0.747755i | \(0.268868\pi\) | |||||||
\(128\) | 115.014 | − | 56.1769i | 0.898545 | − | 0.438882i | ||||
\(129\) | −18.0907 | − | 15.9720i | −0.140238 | − | 0.123814i | ||||
\(130\) | 85.0427 | + | 150.722i | 0.654175 | + | 1.15940i | ||||
\(131\) | 29.4444 | − | 44.0667i | 0.224767 | − | 0.336387i | −0.701897 | − | 0.712278i | \(-0.747663\pi\) |
0.926664 | + | 0.375891i | \(0.122663\pi\) | |||||||
\(132\) | 155.482 | − | 48.8014i | 1.17789 | − | 0.369708i | ||||
\(133\) | 162.354 | + | 32.2942i | 1.22071 | + | 0.242814i | ||||
\(134\) | 62.1874 | + | 4.69420i | 0.464085 | + | 0.0350314i | ||||
\(135\) | 168.824 | − | 110.380i | 1.25055 | − | 0.817632i | ||||
\(136\) | −49.6489 | + | 46.7863i | −0.365066 | + | 0.344017i | ||||
\(137\) | 125.915 | − | 52.1557i | 0.919087 | − | 0.380698i | 0.127559 | − | 0.991831i | \(-0.459286\pi\) |
0.791528 | + | 0.611133i | \(0.209286\pi\) | |||||||
\(138\) | 57.4118 | − | 133.581i | 0.416027 | − | 0.967975i | ||||
\(139\) | 12.1798 | + | 18.2283i | 0.0876242 | + | 0.131139i | 0.872692 | − | 0.488271i | \(-0.162372\pi\) |
−0.785068 | + | 0.619409i | \(0.787372\pi\) | |||||||
\(140\) | −327.413 | + | 153.486i | −2.33866 | + | 1.09633i | ||||
\(141\) | −80.2758 | + | 137.978i | −0.569332 | + | 0.978569i | ||||
\(142\) | −66.8420 | + | 8.12810i | −0.470718 | + | 0.0572401i | ||||
\(143\) | −111.223 | + | 111.223i | −0.777786 | + | 0.777786i | ||||
\(144\) | 121.247 | + | 77.6863i | 0.841993 | + | 0.539488i | ||||
\(145\) | 127.826 | − | 127.826i | 0.881561 | − | 0.881561i | ||||
\(146\) | −149.028 | − | 116.713i | −1.02074 | − | 0.799405i | ||||
\(147\) | −146.990 | + | 252.647i | −0.999931 | + | 1.71868i | ||||
\(148\) | 121.271 | + | 110.672i | 0.819401 | + | 0.747785i | ||||
\(149\) | −31.4391 | − | 47.0519i | −0.211000 | − | 0.315784i | 0.710840 | − | 0.703353i | \(-0.248315\pi\) |
−0.921841 | + | 0.387569i | \(0.873315\pi\) | |||||||
\(150\) | −68.4778 | − | 171.707i | −0.456519 | − | 1.14472i | ||||
\(151\) | 271.707 | − | 112.545i | 1.79939 | − | 0.745330i | 0.812702 | − | 0.582680i | \(-0.197996\pi\) |
0.986684 | − | 0.162650i | \(-0.0520042\pi\) | |||||||
\(152\) | −107.920 | + | 18.1558i | −0.709998 | + | 0.119446i | ||||
\(153\) | −73.9984 | − | 20.3571i | −0.483650 | − | 0.133053i | ||||
\(154\) | −214.247 | − | 249.233i | −1.39121 | − | 1.61839i | ||||
\(155\) | −239.415 | − | 47.6227i | −1.54461 | − | 0.307243i | ||||
\(156\) | −138.447 | − | 12.2937i | −0.887483 | − | 0.0788060i | ||||
\(157\) | −10.8191 | + | 16.1920i | −0.0689116 | + | 0.103133i | −0.864325 | − | 0.502934i | \(-0.832254\pi\) |
0.795413 | + | 0.606067i | \(0.207254\pi\) | |||||||
\(158\) | 237.307 | + | 66.1089i | 1.50194 | + | 0.418411i | ||||
\(159\) | −32.3436 | − | 28.5557i | −0.203419 | − | 0.179596i | ||||
\(160\) | 166.316 | − | 171.721i | 1.03947 | − | 1.07326i | ||||
\(161\) | −293.236 | −1.82134 | ||||||||
\(162\) | −3.76060 | + | 161.956i | −0.0232136 | + | 0.999731i | ||||
\(163\) | −144.416 | + | 216.133i | −0.885985 | + | 1.32597i | 0.0587960 | + | 0.998270i | \(0.481274\pi\) |
−0.944782 | + | 0.327701i | \(0.893726\pi\) | |||||||
\(164\) | −3.06917 | − | 0.466006i | −0.0187144 | − | 0.00284150i | ||||
\(165\) | 242.076 | − | 184.473i | 1.46713 | − | 1.11802i | ||||
\(166\) | −148.316 | + | 127.496i | −0.893469 | + | 0.768050i | ||||
\(167\) | −86.0035 | + | 207.631i | −0.514991 | + | 1.24330i | 0.425955 | + | 0.904744i | \(0.359938\pi\) |
−0.940947 | + | 0.338555i | \(0.890062\pi\) | |||||||
\(168\) | 47.3892 | − | 286.529i | 0.282079 | − | 1.70553i | ||||
\(169\) | −32.1894 | + | 13.3333i | −0.190470 | + | 0.0788952i | ||||
\(170\) | −57.4800 | + | 113.708i | −0.338118 | + | 0.668873i | ||||
\(171\) | −80.5575 | − | 93.1021i | −0.471096 | − | 0.544457i | ||||
\(172\) | −1.46886 | − | 32.1431i | −0.00853987 | − | 0.186878i | ||||
\(173\) | 95.7142 | − | 19.0387i | 0.553261 | − | 0.110050i | 0.0894610 | − | 0.995990i | \(-0.471486\pi\) |
0.463800 | + | 0.885940i | \(0.346486\pi\) | |||||||
\(174\) | 26.4395 | + | 142.761i | 0.151951 | + | 0.820463i | ||||
\(175\) | −263.627 | + | 263.627i | −1.50644 | + | 1.50644i | ||||
\(176\) | 190.919 | + | 103.735i | 1.08477 | + | 0.589401i | ||||
\(177\) | 39.8727 | − | 2.48004i | 0.225270 | − | 0.0140115i | ||||
\(178\) | 33.2436 | + | 273.381i | 0.186762 | + | 1.53585i | ||||
\(179\) | 10.9514 | + | 55.0566i | 0.0611812 | + | 0.307579i | 0.999244 | − | 0.0388877i | \(-0.0123815\pi\) |
−0.938062 | + | 0.346466i | \(0.887381\pi\) | |||||||
\(180\) | 262.294 | + | 59.4244i | 1.45719 | + | 0.330136i | ||||
\(181\) | 29.0497 | + | 43.4759i | 0.160495 | + | 0.240198i | 0.902998 | − | 0.429645i | \(-0.141361\pi\) |
−0.742502 | + | 0.669843i | \(0.766361\pi\) | |||||||
\(182\) | 87.4762 | + | 266.323i | 0.480639 | + | 1.46331i | ||||
\(183\) | 80.0883 | − | 233.376i | 0.437641 | − | 1.27528i | ||||
\(184\) | 181.226 | − | 68.8403i | 0.984926 | − | 0.374132i | ||||
\(185\) | 283.290 | + | 117.342i | 1.53129 | + | 0.634283i | ||||
\(186\) | 140.452 | − | 136.785i | 0.755116 | − | 0.735406i | ||||
\(187\) | −113.579 | − | 22.5923i | −0.607374 | − | 0.120814i | ||||
\(188\) | −206.639 | + | 51.0096i | −1.09914 | + | 0.271328i | ||||
\(189\) | 303.088 | − | 122.009i | 1.60364 | − | 0.645552i | ||||
\(190\) | −178.008 | + | 100.438i | −0.936884 | + | 0.528623i | ||||
\(191\) | 215.201i | 1.12671i | 0.826216 | + | 0.563353i | \(0.190489\pi\) | ||||
−0.826216 | + | 0.563353i | \(0.809511\pi\) | |||||||
\(192\) | 37.9782 | + | 188.206i | 0.197803 | + | 0.980242i | ||||
\(193\) | 85.6217 | 0.443636 | 0.221818 | − | 0.975088i | \(-0.428801\pi\) | ||||
0.221818 | + | 0.975088i | \(0.428801\pi\) | |||||||
\(194\) | −86.0592 | − | 152.524i | −0.443604 | − | 0.786204i | ||||
\(195\) | −250.966 | + | 66.3509i | −1.28700 | + | 0.340261i | ||||
\(196\) | −378.369 | + | 93.4017i | −1.93045 | + | 0.476539i | ||||
\(197\) | 20.2044 | − | 101.574i | 0.102560 | − | 0.515605i | −0.895017 | − | 0.446033i | \(-0.852837\pi\) |
0.997577 | − | 0.0695724i | \(-0.0221635\pi\) | |||||||
\(198\) | 11.9474 | + | 244.149i | 0.0603406 | + | 1.23308i | ||||
\(199\) | −111.199 | + | 268.459i | −0.558791 | + | 1.34904i | 0.351934 | + | 0.936025i | \(0.385524\pi\) |
−0.910724 | + | 0.413015i | \(0.864476\pi\) | |||||||
\(200\) | 101.038 | − | 224.817i | 0.505191 | − | 1.12408i | ||||
\(201\) | −30.3644 | + | 88.4813i | −0.151067 | + | 0.440206i | ||||
\(202\) | 179.457 | − | 58.9444i | 0.888403 | − | 0.291804i | ||||
\(203\) | 243.469 | − | 162.681i | 1.19936 | − | 0.801384i | ||||
\(204\) | −49.1031 | − | 89.7793i | −0.240701 | − | 0.440095i | ||||
\(205\) | −5.68642 | + | 1.13110i | −0.0277386 | + | 0.00551755i | ||||
\(206\) | 93.5852 | − | 11.3801i | 0.454297 | − | 0.0552433i | ||||
\(207\) | 172.137 | + | 133.917i | 0.831579 | + | 0.646940i | ||||
\(208\) | −116.584 | − | 144.058i | −0.560502 | − | 0.692585i | ||||
\(209\) | −131.359 | − | 131.359i | −0.628510 | − | 0.628510i | ||||
\(210\) | −98.7745 | − | 533.336i | −0.470355 | − | 2.53969i | ||||
\(211\) | 48.1887 | + | 242.261i | 0.228383 | + | 1.14816i | 0.909411 | + | 0.415900i | \(0.136533\pi\) |
−0.681028 | + | 0.732257i | \(0.738467\pi\) | |||||||
\(212\) | −2.62611 | − | 57.4674i | −0.0123873 | − | 0.271073i | ||||
\(213\) | 13.5168 | − | 100.093i | 0.0634592 | − | 0.469920i | ||||
\(214\) | 175.046 | + | 88.4866i | 0.817973 | + | 0.413489i | ||||
\(215\) | −22.9972 | − | 55.5202i | −0.106964 | − | 0.258233i | ||||
\(216\) | −158.672 | + | 146.558i | −0.734593 | + | 0.678508i | ||||
\(217\) | −365.305 | − | 151.314i | −1.68343 | − | 0.697301i | ||||
\(218\) | 166.291 | + | 193.446i | 0.762804 | + | 0.887367i | ||||
\(219\) | 225.837 | − | 172.099i | 1.03122 | − | 0.785839i | ||||
\(220\) | 401.206 | + | 60.9171i | 1.82367 | + | 0.276896i | ||||
\(221\) | 82.1253 | + | 54.8744i | 0.371608 | + | 0.248300i | ||||
\(222\) | −206.557 | + | 134.101i | −0.930438 | + | 0.604058i | ||||
\(223\) | − | 350.850i | − | 1.57332i | −0.617387 | − | 0.786659i | \(-0.711809\pi\) | ||
0.617387 | − | 0.786659i | \(-0.288191\pi\) | |||||||
\(224\) | 318.488 | − | 220.253i | 1.42182 | − | 0.983273i | ||||
\(225\) | 275.150 | − | 34.3611i | 1.22289 | − | 0.152716i | ||||
\(226\) | −19.6649 | + | 70.5897i | −0.0870127 | + | 0.312344i | ||||
\(227\) | 343.431 | + | 229.473i | 1.51291 | + | 1.01090i | 0.987066 | + | 0.160317i | \(0.0512517\pi\) |
0.525847 | + | 0.850579i | \(0.323748\pi\) | |||||||
\(228\) | 14.5193 | − | 163.511i | 0.0636812 | − | 0.717154i | ||||
\(229\) | 68.0711 | − | 342.217i | 0.297254 | − | 1.49440i | −0.486696 | − | 0.873572i | \(-0.661798\pi\) |
0.783950 | − | 0.620824i | \(-0.213202\pi\) | |||||||
\(230\) | 274.562 | − | 236.021i | 1.19375 | − | 1.02618i | ||||
\(231\) | 442.876 | − | 216.571i | 1.91721 | − | 0.937538i | ||||
\(232\) | −112.278 | + | 157.697i | −0.483958 | + | 0.679730i | ||||
\(233\) | −127.769 | − | 308.463i | −0.548367 | − | 1.32387i | −0.918693 | − | 0.394973i | \(-0.870754\pi\) |
0.370326 | − | 0.928902i | \(-0.379246\pi\) | |||||||
\(234\) | 70.2751 | − | 196.287i | 0.300321 | − | 0.838835i | ||||
\(235\) | −330.521 | + | 220.847i | −1.40647 | + | 0.939774i | ||||
\(236\) | 39.3451 | + | 35.9063i | 0.166717 | + | 0.152146i | ||||
\(237\) | −185.822 | + | 319.392i | −0.784060 | + | 1.34764i | ||||
\(238\) | −127.250 | + | 162.482i | −0.534664 | + | 0.682698i | ||||
\(239\) | −238.944 | − | 238.944i | −0.999766 | − | 0.999766i | 0.000234107 | − | 1.00000i | \(-0.499925\pi\) |
−1.00000 | 0.000234107i | \(0.999925\pi\) | ||||||||
\(240\) | 186.251 | + | 306.425i | 0.776046 | + | 1.27677i | ||||
\(241\) | 99.6708 | + | 99.6708i | 0.413572 | + | 0.413572i | 0.882981 | − | 0.469409i | \(-0.155533\pi\) |
−0.469409 | + | 0.882981i | \(0.655533\pi\) | |||||||
\(242\) | 15.3108 | + | 125.909i | 0.0632678 | + | 0.520287i | ||||
\(243\) | −233.640 | − | 66.7933i | −0.961482 | − | 0.274869i | ||||
\(244\) | 297.875 | − | 139.639i | 1.22080 | − | 0.572291i | ||||
\(245\) | −605.203 | + | 404.384i | −2.47022 | + | 1.65055i | ||||
\(246\) | 1.83870 | − | 4.27812i | 0.00747439 | − | 0.0173907i | ||||
\(247\) | 60.6345 | + | 146.385i | 0.245484 | + | 0.592651i | ||||
\(248\) | 261.289 | + | 7.75635i | 1.05359 | + | 0.0312756i | ||||
\(249\) | −128.879 | − | 263.551i | −0.517588 | − | 1.05844i | ||||
\(250\) | 6.53383 | − | 86.5582i | 0.0261353 | − | 0.346233i | ||||
\(251\) | 22.9324 | − | 115.289i | 0.0913642 | − | 0.459319i | −0.907836 | − | 0.419326i | \(-0.862266\pi\) |
0.999200 | − | 0.0399929i | \(-0.0127335\pi\) | |||||||
\(252\) | 397.923 | + | 177.293i | 1.57906 | + | 0.703545i | ||||
\(253\) | 273.620 | + | 182.827i | 1.08150 | + | 0.722638i | ||||
\(254\) | −293.764 | + | 165.752i | −1.15655 | + | 0.652567i | ||||
\(255\) | −143.268 | − | 126.490i | −0.561837 | − | 0.496038i | ||||
\(256\) | −145.126 | + | 210.890i | −0.566898 | + | 0.823788i | ||||
\(257\) | 39.1255i | 0.152239i | 0.997099 | + | 0.0761197i | \(0.0242531\pi\) | ||||
−0.997099 | + | 0.0761197i | \(0.975747\pi\) | |||||||
\(258\) | 47.2089 | + | 10.0411i | 0.182980 | + | 0.0389191i | ||||
\(259\) | 412.975 | + | 275.941i | 1.59450 | + | 1.06541i | ||||
\(260\) | −296.265 | − | 178.955i | −1.13948 | − | 0.688288i | ||||
\(261\) | −217.216 | − | 15.6910i | −0.832247 | − | 0.0601189i | ||||
\(262\) | −7.97847 | + | 105.696i | −0.0304522 | + | 0.403421i | ||||
\(263\) | 20.6596 | + | 8.55747i | 0.0785534 | + | 0.0325379i | 0.421614 | − | 0.906775i | \(-0.361464\pi\) |
−0.343061 | + | 0.939313i | \(0.611464\pi\) | |||||||
\(264\) | −222.865 | + | 237.816i | −0.844185 | + | 0.900817i | ||||
\(265\) | −41.1158 | − | 99.2624i | −0.155154 | − | 0.374575i | ||||
\(266\) | −314.537 | + | 103.312i | −1.18247 | + | 0.388393i | ||||
\(267\) | −409.376 | − | 55.2832i | −1.53324 | − | 0.207053i | ||||
\(268\) | −112.935 | + | 52.9423i | −0.421400 | + | 0.197546i | ||||
\(269\) | −65.3010 | − | 328.290i | −0.242755 | − | 1.22041i | −0.889225 | − | 0.457471i | \(-0.848755\pi\) |
0.646470 | − | 0.762940i | \(-0.276245\pi\) | |||||||
\(270\) | −185.583 | + | 358.190i | −0.687346 | + | 1.32663i | ||||
\(271\) | −173.151 | − | 173.151i | −0.638934 | − | 0.638934i | 0.311358 | − | 0.950293i | \(-0.399216\pi\) |
−0.950293 | + | 0.311358i | \(0.899216\pi\) | |||||||
\(272\) | 40.4990 | − | 130.291i | 0.148893 | − | 0.479011i | ||||
\(273\) | −419.671 | + | 26.1031i | −1.53726 | + | 0.0956158i | ||||
\(274\) | −168.066 | + | 214.599i | −0.613381 | + | 0.783208i | ||||
\(275\) | 410.359 | − | 81.6255i | 1.49222 | − | 0.296820i | ||||
\(276\) | 31.2822 | + | 289.104i | 0.113341 | + | 1.04748i | ||||
\(277\) | −176.162 | + | 117.708i | −0.635965 | + | 0.424938i | −0.831320 | − | 0.555794i | \(-0.812414\pi\) |
0.195355 | + | 0.980733i | \(0.437414\pi\) | |||||||
\(278\) | −39.1305 | − | 19.7806i | −0.140757 | − | 0.0711533i | ||||
\(279\) | 145.340 | + | 255.655i | 0.520932 | + | 0.916325i | ||||
\(280\) | 419.458 | − | 589.138i | 1.49806 | − | 2.10406i | ||||
\(281\) | −150.035 | + | 362.217i | −0.533933 | + | 1.28903i | 0.394966 | + | 0.918696i | \(0.370757\pi\) |
−0.928899 | + | 0.370333i | \(0.879243\pi\) | |||||||
\(282\) | 4.22148 | − | 319.235i | 0.0149698 | − | 1.13204i | ||||
\(283\) | −2.41890 | + | 12.1606i | −0.00854736 | + | 0.0429705i | −0.984824 | − | 0.173558i | \(-0.944474\pi\) |
0.976276 | + | 0.216529i | \(0.0694735\pi\) | |||||||
\(284\) | 108.441 | − | 79.8515i | 0.381834 | − | 0.281167i | ||||
\(285\) | −78.3626 | − | 296.399i | −0.274957 | − | 1.04000i | ||||
\(286\) | 84.4230 | − | 303.048i | 0.295185 | − | 1.05961i | ||||
\(287\) | −9.39133 | −0.0327224 | ||||||||
\(288\) | −287.547 | − | 16.1547i | −0.998426 | − | 0.0560927i | ||||
\(289\) | − | 216.282i | − | 0.748380i | ||||||
\(290\) | −97.0253 | + | 348.285i | −0.334570 | + | 1.20098i | ||||
\(291\) | 253.965 | − | 67.1439i | 0.872733 | − | 0.230735i | ||||
\(292\) | 374.293 | + | 56.8307i | 1.28182 | + | 0.194626i | ||||
\(293\) | 49.2656 | + | 9.79953i | 0.168142 | + | 0.0334455i | 0.278443 | − | 0.960453i | \(-0.410182\pi\) |
−0.110301 | + | 0.993898i | \(0.535182\pi\) | |||||||
\(294\) | 7.72979 | − | 584.539i | 0.0262918 | − | 1.98823i | ||||
\(295\) | 91.9101 | + | 38.0704i | 0.311560 | + | 0.129052i | ||||
\(296\) | −320.008 | − | 73.5875i | −1.08111 | − | 0.248606i | ||||
\(297\) | −358.884 | − | 75.1221i | −1.20836 | − | 0.252936i | ||||
\(298\) | 101.006 | + | 51.0588i | 0.338946 | + | 0.171338i | ||||
\(299\) | −155.937 | − | 233.376i | −0.521527 | − | 0.780520i | ||||
\(300\) | 288.036 | + | 231.789i | 0.960119 | + | 0.772629i | ||||
\(301\) | −18.9904 | − | 95.4711i | −0.0630910 | − | 0.317180i | ||||
\(302\) | −362.664 | + | 463.076i | −1.20088 | + | 1.53336i | ||||
\(303\) | 17.5891 | + | 282.788i | 0.0580500 | + | 0.933295i | ||||
\(304\) | 170.137 | − | 137.690i | 0.559661 | − | 0.452928i | ||||
\(305\) | 434.461 | − | 434.461i | 1.42446 | − | 1.42446i | ||||
\(306\) | 148.902 | − | 37.2677i | 0.486608 | − | 0.121790i | ||||
\(307\) | −195.822 | + | 38.9513i | −0.637855 | + | 0.126877i | −0.503415 | − | 0.864044i | \(-0.667923\pi\) |
−0.134440 | + | 0.990922i | \(0.542923\pi\) | |||||||
\(308\) | 618.138 | + | 223.562i | 2.00694 | + | 0.725851i | ||||
\(309\) | −18.9248 | + | 140.140i | −0.0612454 | + | 0.453527i | ||||
\(310\) | 463.832 | − | 152.350i | 1.49623 | − | 0.491451i | ||||
\(311\) | 216.025 | − | 89.4807i | 0.694616 | − | 0.287719i | −0.00730607 | − | 0.999973i | \(-0.502326\pi\) |
0.701922 | + | 0.712254i | \(0.252326\pi\) | |||||||
\(312\) | 253.238 | − | 114.655i | 0.811661 | − | 0.367483i | ||||
\(313\) | −6.04998 | + | 14.6059i | −0.0193290 | + | 0.0466644i | −0.933249 | − | 0.359229i | \(-0.883040\pi\) |
0.913920 | + | 0.405894i | \(0.133040\pi\) | |||||||
\(314\) | 2.93163 | − | 38.8373i | 0.00933639 | − | 0.123686i | ||||
\(315\) | 811.493 | + | 58.6197i | 2.57617 | + | 0.186094i | ||||
\(316\) | −478.328 | + | 118.077i | −1.51370 | + | 0.373661i | ||||
\(317\) | −83.1228 | + | 124.402i | −0.262217 | + | 0.392435i | −0.939094 | − | 0.343661i | \(-0.888333\pi\) |
0.676877 | + | 0.736096i | \(0.263333\pi\) | |||||||
\(318\) | 84.4030 | + | 17.9521i | 0.265418 | + | 0.0564533i | ||||
\(319\) | −328.611 | −1.03013 | ||||||||
\(320\) | −120.928 | + | 462.572i | −0.377899 | + | 1.44554i | ||||
\(321\) | −194.722 | + | 220.552i | −0.606612 | + | 0.687078i | ||||
\(322\) | 510.776 | − | 288.198i | 1.58626 | − | 0.895024i | ||||
\(323\) | −64.8085 | + | 96.9928i | −0.200646 | + | 0.300287i | ||||
\(324\) | −152.623 | − | 285.801i | −0.471059 | − | 0.882102i | ||||
\(325\) | −350.002 | − | 69.6198i | −1.07693 | − | 0.214215i | ||||
\(326\) | 39.1319 | − | 518.408i | 0.120037 | − | 1.59021i | ||||
\(327\) | −343.745 | + | 168.095i | −1.05121 | + | 0.514053i | ||||
\(328\) | 5.80405 | − | 2.20472i | 0.0176953 | − | 0.00672169i | ||||
\(329\) | −594.881 | + | 246.408i | −1.80815 | + | 0.748960i | ||||
\(330\) | −240.358 | + | 559.243i | −0.728357 | + | 1.69468i | ||||
\(331\) | 48.3952 | + | 72.4286i | 0.146209 | + | 0.218818i | 0.897345 | − | 0.441331i | \(-0.145493\pi\) |
−0.751135 | + | 0.660148i | \(0.770493\pi\) | |||||||
\(332\) | 133.040 | − | 367.848i | 0.400722 | − | 1.10798i | ||||
\(333\) | −116.408 | − | 350.584i | −0.349575 | − | 1.05280i | ||||
\(334\) | −54.2574 | − | 446.189i | −0.162447 | − | 1.33590i | ||||
\(335\) | −164.720 | + | 164.720i | −0.491701 | + | 0.491701i | ||||
\(336\) | 199.061 | + | 545.668i | 0.592442 | + | 1.62401i | ||||
\(337\) | 338.619 | − | 338.619i | 1.00480 | − | 1.00480i | 0.00481492 | − | 0.999988i | \(-0.498467\pi\) |
0.999988 | − | 0.00481492i | \(-0.00153264\pi\) | |||||||
\(338\) | 42.9652 | − | 54.8610i | 0.127116 | − | 0.162311i | ||||
\(339\) | −95.0068 | − | 55.2750i | −0.280256 | − | 0.163053i | ||||
\(340\) | −11.6326 | − | 254.556i | −0.0342135 | − | 0.748695i | ||||
\(341\) | 246.527 | + | 368.953i | 0.722952 | + | 1.08197i | ||||
\(342\) | 231.822 | + | 82.9973i | 0.677842 | + | 0.242682i | ||||
\(343\) | −541.454 | + | 224.278i | −1.57858 | + | 0.653871i | ||||
\(344\) | 34.1493 | + | 54.5451i | 0.0992713 | + | 0.158561i | ||||
\(345\) | 238.581 | + | 487.885i | 0.691540 | + | 1.41416i | ||||
\(346\) | −148.009 | + | 127.232i | −0.427771 | + | 0.367724i | ||||
\(347\) | 190.609 | + | 37.9144i | 0.549304 | + | 0.109263i | 0.461937 | − | 0.886913i | \(-0.347155\pi\) |
0.0873674 | + | 0.996176i | \(0.472155\pi\) | |||||||
\(348\) | −186.361 | − | 222.683i | −0.535521 | − | 0.639895i | ||||
\(349\) | −273.169 | + | 408.826i | −0.782719 | + | 1.17142i | 0.198797 | + | 0.980041i | \(0.436296\pi\) |
−0.981516 | + | 0.191381i | \(0.938704\pi\) | |||||||
\(350\) | 200.104 | − | 718.299i | 0.571725 | − | 2.05228i | ||||
\(351\) | 258.278 | + | 176.334i | 0.735836 | + | 0.502377i | ||||
\(352\) | −434.507 | + | 6.94814i | −1.23439 | + | 0.0197390i | ||||
\(353\) | 30.5913 | 0.0866609 | 0.0433305 | − | 0.999061i | \(-0.486203\pi\) | ||||
0.0433305 | + | 0.999061i | \(0.486203\pi\) | |||||||
\(354\) | −67.0152 | + | 43.5075i | −0.189308 | + | 0.122903i | ||||
\(355\) | 139.734 | − | 209.126i | 0.393616 | − | 0.589087i | ||||
\(356\) | −326.589 | − | 443.518i | −0.917385 | − | 1.24584i | ||||
\(357\) | −187.636 | − | 246.226i | −0.525591 | − | 0.689708i | ||||
\(358\) | −73.1865 | − | 85.1375i | −0.204431 | − | 0.237814i | ||||
\(359\) | −164.609 | + | 397.402i | −0.458521 | + | 1.10697i | 0.510475 | + | 0.859893i | \(0.329470\pi\) |
−0.968996 | + | 0.247076i | \(0.920530\pi\) | |||||||
\(360\) | −515.282 | + | 154.278i | −1.43134 | + | 0.428551i | ||||
\(361\) | 160.635 | − | 66.5373i | 0.444973 | − | 0.184314i | ||||
\(362\) | −93.3293 | − | 47.1783i | −0.257816 | − | 0.130327i | ||||
\(363\) | −188.544 | − | 25.4615i | −0.519405 | − | 0.0701418i | ||||
\(364\) | −414.118 | − | 377.924i | −1.13769 | − | 1.03825i | ||||
\(365\) | 693.473 | − | 137.940i | 1.89993 | − | 0.377919i | ||||
\(366\) | 89.8634 | + | 485.220i | 0.245529 | + | 1.32574i | ||||
\(367\) | −158.439 | + | 158.439i | −0.431715 | + | 0.431715i | −0.889211 | − | 0.457497i | \(-0.848746\pi\) |
0.457497 | + | 0.889211i | \(0.348746\pi\) | |||||||
\(368\) | −248.013 | + | 298.023i | −0.673949 | + | 0.809844i | ||||
\(369\) | 5.51294 | + | 4.28888i | 0.0149402 | + | 0.0116230i | ||||
\(370\) | −608.776 | + | 74.0283i | −1.64534 | + | 0.200076i | ||||
\(371\) | −33.9522 | − | 170.689i | −0.0915153 | − | 0.460078i | ||||
\(372\) | −110.211 | + | 376.299i | −0.296267 | + | 1.01156i | ||||
\(373\) | 88.4847 | + | 132.427i | 0.237224 | + | 0.355031i | 0.930911 | − | 0.365245i | \(-0.119015\pi\) |
−0.693687 | + | 0.720277i | \(0.744015\pi\) | |||||||
\(374\) | 220.042 | − | 72.2749i | 0.588349 | − | 0.193248i | ||||
\(375\) | 123.157 | + | 42.2640i | 0.328418 | + | 0.112704i | ||||
\(376\) | 309.803 | − | 291.940i | 0.823944 | − | 0.776436i | ||||
\(377\) | 258.943 | + | 107.258i | 0.686852 | + | 0.284503i | ||||
\(378\) | −408.023 | + | 510.403i | −1.07943 | + | 1.35027i | ||||
\(379\) | −18.3350 | − | 3.64706i | −0.0483774 | − | 0.00962285i | 0.170842 | − | 0.985298i | \(-0.445351\pi\) |
−0.219220 | + | 0.975676i | \(0.570351\pi\) | |||||||
\(380\) | 211.352 | − | 349.899i | 0.556189 | − | 0.920786i | ||||
\(381\) | −129.321 | − | 489.143i | −0.339424 | − | 1.28384i | ||||
\(382\) | −211.503 | − | 374.849i | −0.553673 | − | 0.981281i | ||||
\(383\) | 65.5435i | 0.171132i | 0.996333 | + | 0.0855659i | \(0.0272698\pi\) | ||||
−0.996333 | + | 0.0855659i | \(0.972730\pi\) | |||||||
\(384\) | −251.125 | − | 290.503i | −0.653972 | − | 0.756519i | ||||
\(385\) | 1227.65 | 3.18870 | ||||||||
\(386\) | −149.141 | + | 84.1506i | −0.386375 | + | 0.218007i | ||||
\(387\) | −32.4524 | + | 64.7165i | −0.0838564 | + | 0.167226i | ||||
\(388\) | 299.806 | + | 181.094i | 0.772695 | + | 0.466737i | ||||
\(389\) | −95.8688 | + | 481.965i | −0.246449 | + | 1.23898i | 0.637150 | + | 0.770740i | \(0.280113\pi\) |
−0.883599 | + | 0.468244i | \(0.844887\pi\) | |||||||
\(390\) | 371.936 | − | 362.227i | 0.953681 | − | 0.928788i | ||||
\(391\) | 79.0790 | − | 190.914i | 0.202248 | − | 0.488270i | ||||
\(392\) | 567.268 | − | 534.560i | 1.44711 | − | 1.36367i | ||||
\(393\) | −150.387 | − | 51.6087i | −0.382663 | − | 0.131320i | ||||
\(394\) | 64.6358 | + | 196.785i | 0.164050 | + | 0.499454i | ||||
\(395\) | −765.088 | + | 511.216i | −1.93693 | + | 1.29422i | ||||
\(396\) | −260.765 | − | 413.531i | −0.658497 | − | 1.04427i | ||||
\(397\) | 604.050 | − | 120.153i | 1.52154 | − | 0.302653i | 0.637640 | − | 0.770334i | \(-0.279911\pi\) |
0.883897 | + | 0.467681i | \(0.154911\pi\) | |||||||
\(398\) | −70.1528 | − | 576.906i | −0.176263 | − | 1.44951i | ||||
\(399\) | −30.8287 | − | 495.646i | −0.0772649 | − | 1.24222i | ||||
\(400\) | 44.9598 | + | 490.901i | 0.112399 | + | 1.22725i | ||||
\(401\) | −42.4390 | − | 42.4390i | −0.105833 | − | 0.105833i | 0.652208 | − | 0.758040i | \(-0.273843\pi\) |
−0.758040 | + | 0.652208i | \(0.773843\pi\) | |||||||
\(402\) | −34.0705 | − | 183.965i | −0.0847525 | − | 0.457623i | ||||
\(403\) | −73.8359 | − | 371.198i | −0.183216 | − | 0.921087i | ||||
\(404\) | −254.658 | + | 279.047i | −0.630341 | + | 0.690710i | ||||
\(405\) | −449.596 | − | 405.008i | −1.11011 | − | 1.00002i | ||||
\(406\) | −264.203 | + | 522.653i | −0.650746 | + | 1.28732i | ||||
\(407\) | −213.305 | − | 514.965i | −0.524092 | − | 1.26527i | ||||
\(408\) | 173.767 | + | 108.123i | 0.425900 | + | 0.265008i | ||||
\(409\) | −125.262 | − | 51.8854i | −0.306265 | − | 0.126859i | 0.224258 | − | 0.974530i | \(-0.428004\pi\) |
−0.530523 | + | 0.847671i | \(0.678004\pi\) | |||||||
\(410\) | 8.79327 | − | 7.55892i | 0.0214470 | − | 0.0184364i | ||||
\(411\) | −247.821 | − | 325.204i | −0.602971 | − | 0.791250i | ||||
\(412\) | −151.827 | + | 111.800i | −0.368513 | + | 0.271359i | ||||
\(413\) | 133.985 | + | 89.5261i | 0.324419 | + | 0.216770i | ||||
\(414\) | −431.453 | − | 64.0845i | −1.04216 | − | 0.154793i | ||||
\(415\) | − | 730.562i | − | 1.76039i | ||||||
\(416\) | 344.656 | + | 136.347i | 0.828500 | + | 0.327757i | ||||
\(417\) | 43.5289 | − | 49.3030i | 0.104386 | − | 0.118233i | ||||
\(418\) | 357.910 | + | 99.7065i | 0.856243 | + | 0.238532i | ||||
\(419\) | 404.519 | + | 270.291i | 0.965440 | + | 0.645086i | 0.935074 | − | 0.354453i | \(-0.115333\pi\) |
0.0303656 | + | 0.999539i | \(0.490333\pi\) | |||||||
\(420\) | 696.223 | + | 831.917i | 1.65767 | + | 1.98076i | ||||
\(421\) | 98.5653 | − | 495.521i | 0.234122 | − | 1.17701i | −0.667542 | − | 0.744572i | \(-0.732654\pi\) |
0.901664 | − | 0.432438i | \(-0.142346\pi\) | |||||||
\(422\) | −322.036 | − | 374.624i | −0.763120 | − | 0.887734i | ||||
\(423\) | 461.740 | + | 127.026i | 1.09159 | + | 0.300297i | ||||
\(424\) | 61.0543 | + | 97.5190i | 0.143996 | + | 0.229998i | ||||
\(425\) | −100.542 | − | 242.731i | −0.236571 | − | 0.571132i | ||||
\(426\) | 74.8288 | + | 187.632i | 0.175654 | + | 0.440451i | ||||
\(427\) | 827.512 | − | 552.926i | 1.93797 | − | 1.29491i | ||||
\(428\) | −391.872 | + | 17.9076i | −0.915589 | + | 0.0418401i | ||||
\(429\) | 407.873 | + | 237.300i | 0.950752 | + | 0.553148i | ||||
\(430\) | 94.6241 | + | 74.1062i | 0.220056 | + | 0.172340i | ||||
\(431\) | 358.285 | + | 358.285i | 0.831287 | + | 0.831287i | 0.987693 | − | 0.156405i | \(-0.0499907\pi\) |
−0.156405 | + | 0.987693i | \(0.549991\pi\) | |||||||
\(432\) | 132.345 | − | 411.228i | 0.306354 | − | 0.951918i | ||||
\(433\) | −254.855 | − | 254.855i | −0.588580 | − | 0.588580i | 0.348667 | − | 0.937247i | \(-0.386635\pi\) |
−0.937247 | + | 0.348667i | \(0.886635\pi\) | |||||||
\(434\) | 785.024 | − | 95.4603i | 1.80881 | − | 0.219955i | ||||
\(435\) | −468.758 | − | 272.723i | −1.07760 | − | 0.626950i | ||||
\(436\) | −479.778 | − | 173.521i | −1.10041 | − | 0.397985i | ||||
\(437\) | 275.624 | − | 184.166i | 0.630720 | − | 0.421433i | ||||
\(438\) | −224.234 | + | 521.728i | −0.511950 | + | 1.19116i | ||||
\(439\) | −31.1750 | − | 75.2631i | −0.0710137 | − | 0.171442i | 0.884387 | − | 0.466754i | \(-0.154577\pi\) |
−0.955401 | + | 0.295312i | \(0.904577\pi\) | |||||||
\(440\) | −758.715 | + | 288.204i | −1.72435 | + | 0.655009i | ||||
\(441\) | 845.475 | + | 232.592i | 1.91718 | + | 0.527419i | ||||
\(442\) | −196.982 | − | 14.8692i | −0.445661 | − | 0.0336406i | ||||
\(443\) | −13.8087 | + | 69.4210i | −0.0311709 | + | 0.156707i | −0.993236 | − | 0.116113i | \(-0.962956\pi\) |
0.962065 | + | 0.272820i | \(0.0879564\pi\) | |||||||
\(444\) | 227.997 | − | 436.593i | 0.513506 | − | 0.983317i | ||||
\(445\) | −855.316 | − | 571.504i | −1.92206 | − | 1.28428i | ||||
\(446\) | 344.822 | + | 611.131i | 0.773143 | + | 1.37025i | ||||
\(447\) | −112.359 | + | 127.264i | −0.251363 | + | 0.284706i | ||||
\(448\) | −338.292 | + | 696.665i | −0.755116 | + | 1.55506i | ||||
\(449\) | 47.5988i | 0.106011i | 0.998594 | + | 0.0530053i | \(0.0168800\pi\) | ||||
−0.998594 | + | 0.0530053i | \(0.983120\pi\) | |||||||
\(450\) | −445.502 | + | 330.275i | −0.990005 | + | 0.733944i | ||||
\(451\) | 8.76311 | + | 5.85532i | 0.0194304 | + | 0.0129830i | ||||
\(452\) | −35.1234 | − | 142.284i | −0.0777066 | − | 0.314788i | ||||
\(453\) | −534.764 | − | 701.746i | −1.18050 | − | 1.54911i | ||||
\(454\) | −823.739 | − | 62.1798i | −1.81440 | − | 0.136960i | ||||
\(455\) | −967.379 | − | 400.702i | −2.12611 | − | 0.880663i | ||||
\(456\) | 135.411 | + | 299.083i | 0.296954 | + | 0.655884i | ||||
\(457\) | 219.114 | + | 528.989i | 0.479462 | + | 1.15752i | 0.959861 | + | 0.280474i | \(0.0904918\pi\) |
−0.480399 | + | 0.877050i | \(0.659508\pi\) | |||||||
\(458\) | 217.766 | + | 662.994i | 0.475472 | + | 1.44759i | ||||
\(459\) | −2.30071 | + | 230.231i | −0.00501243 | + | 0.501593i | ||||
\(460\) | −246.283 | + | 680.959i | −0.535397 | + | 1.48035i | ||||
\(461\) | 148.015 | + | 744.120i | 0.321073 | + | 1.61414i | 0.717829 | + | 0.696219i | \(0.245136\pi\) |
−0.396757 | + | 0.917924i | \(0.629864\pi\) | |||||||
\(462\) | −558.577 | + | 812.503i | −1.20904 | + | 1.75866i | ||||
\(463\) | 469.193 | + | 469.193i | 1.01338 | + | 1.01338i | 0.999909 | + | 0.0134669i | \(0.00428677\pi\) |
0.0134669 | + | 0.999909i | \(0.495713\pi\) | |||||||
\(464\) | 40.5850 | − | 385.036i | 0.0874677 | − | 0.829818i | ||||
\(465\) | 45.4615 | + | 730.905i | 0.0977667 | + | 1.57184i | ||||
\(466\) | 525.719 | + | 411.724i | 1.12815 | + | 0.883528i | ||||
\(467\) | 257.221 | − | 51.1644i | 0.550795 | − | 0.109560i | 0.0881557 | − | 0.996107i | \(-0.471903\pi\) |
0.462639 | + | 0.886547i | \(0.346903\pi\) | |||||||
\(468\) | 70.5054 | + | 410.972i | 0.150653 | + | 0.878146i | ||||
\(469\) | −313.740 | + | 209.634i | −0.668955 | + | 0.446982i | ||||
\(470\) | 358.668 | − | 709.525i | 0.763123 | − | 1.50963i | ||||
\(471\) | 55.2584 | + | 18.9632i | 0.117321 | + | 0.0402616i | ||||
\(472\) | −103.823 | − | 23.8746i | −0.219964 | − | 0.0505819i | ||||
\(473\) | −41.8044 | + | 100.925i | −0.0883815 | + | 0.213372i | ||||
\(474\) | 9.77188 | − | 738.964i | 0.0206158 | − | 1.55900i | ||||
\(475\) | 82.2234 | − | 413.365i | 0.173102 | − | 0.870242i | ||||
\(476\) | 61.9614 | − | 408.084i | 0.130171 | − | 0.857320i | ||||
\(477\) | −58.0204 | + | 115.704i | −0.121636 | + | 0.242566i | ||||
\(478\) | 651.045 | + | 181.368i | 1.36202 | + | 0.379431i | ||||
\(479\) | −310.103 | −0.647397 | −0.323699 | − | 0.946160i | \(-0.604926\pi\) | ||||
−0.323699 | + | 0.946160i | \(0.604926\pi\) | |||||||
\(480\) | −625.583 | − | 350.698i | −1.30330 | − | 0.730620i | ||||
\(481\) | 475.411i | 0.988380i | ||||||||
\(482\) | −271.570 | − | 75.6541i | −0.563424 | − | 0.156959i | ||||
\(483\) | 224.854 | + | 850.486i | 0.465535 | + | 1.76084i | ||||
\(484\) | −150.415 | − | 204.269i | −0.310775 | − | 0.422042i | ||||
\(485\) | 641.583 | + | 127.619i | 1.32285 | + | 0.263132i | ||||
\(486\) | 472.613 | − | 113.281i | 0.972455 | − | 0.233089i | ||||
\(487\) | 120.263 | + | 49.8147i | 0.246947 | + | 0.102289i | 0.502724 | − | 0.864447i | \(-0.332331\pi\) |
−0.255777 | + | 0.966736i | \(0.582331\pi\) | |||||||
\(488\) | −381.616 | + | 535.988i | −0.781999 | + | 1.09834i | ||||
\(489\) | 737.600 | + | 253.124i | 1.50838 | + | 0.517637i | ||||
\(490\) | 656.743 | − | 1299.18i | 1.34029 | − | 2.65140i | ||||
\(491\) | 289.645 | + | 433.485i | 0.589909 | + | 0.882861i | 0.999568 | − | 0.0293778i | \(-0.00935258\pi\) |
−0.409660 | + | 0.912238i | \(0.634353\pi\) | |||||||
\(492\) | 1.00186 | + | 9.25898i | 0.00203630 | + | 0.0188191i | ||||
\(493\) | 40.2567 | + | 202.384i | 0.0816565 | + | 0.410515i | ||||
\(494\) | −249.486 | − | 195.389i | −0.505033 | − | 0.395524i | ||||
\(495\) | −720.661 | − | 560.650i | −1.45588 | − | 1.13263i | ||||
\(496\) | −462.752 | + | 243.289i | −0.932968 | + | 0.490503i | ||||
\(497\) | 288.077 | − | 288.077i | 0.579632 | − | 0.579632i | ||||
\(498\) | 483.512 | + | 332.403i | 0.970908 | + | 0.667477i | ||||
\(499\) | 834.052 | − | 165.903i | 1.67145 | − | 0.332471i | 0.733616 | − | 0.679565i | \(-0.237831\pi\) |
0.937831 | + | 0.347093i | \(0.112831\pi\) | |||||||
\(500\) | 73.6900 | + | 157.194i | 0.147380 | + | 0.314387i | ||||
\(501\) | 668.149 | + | 90.2287i | 1.33363 | + | 0.180097i | ||||
\(502\) | 73.3631 | + | 223.355i | 0.146142 | + | 0.444931i | ||||
\(503\) | 137.677 | − | 57.0275i | 0.273711 | − | 0.113375i | −0.241606 | − | 0.970374i | \(-0.577674\pi\) |
0.515317 | + | 0.857000i | \(0.327674\pi\) | |||||||
\(504\) | −867.372 | + | 82.2655i | −1.72098 | + | 0.163225i | ||||
\(505\) | −270.006 | + | 651.852i | −0.534665 | + | 1.29080i | ||||
\(506\) | −656.294 | − | 49.5402i | −1.29702 | − | 0.0979055i | ||||
\(507\) | 63.3540 | + | 83.1365i | 0.124959 | + | 0.163977i | ||||
\(508\) | 348.791 | − | 577.433i | 0.686596 | − | 1.13668i | ||||
\(509\) | −38.6923 | + | 57.9071i | −0.0760163 | + | 0.113766i | −0.867530 | − | 0.497385i | \(-0.834294\pi\) |
0.791513 | + | 0.611152i | \(0.209294\pi\) | |||||||
\(510\) | 373.870 | + | 79.5204i | 0.733078 | + | 0.155922i | ||||
\(511\) | 1145.30 | 2.24129 | ||||||||
\(512\) | 45.5225 | − | 509.972i | 0.0889111 | − | 0.996040i | ||||
\(513\) | −208.257 | + | 305.035i | −0.405959 | + | 0.594611i | ||||
\(514\) | −38.4533 | − | 68.1511i | −0.0748118 | − | 0.132590i | ||||
\(515\) | −195.640 | + | 292.796i | −0.379884 | + | 0.568537i | ||||
\(516\) | −92.0998 | + | 28.9075i | −0.178488 | + | 0.0560224i | ||||
\(517\) | 708.718 | + | 140.973i | 1.37083 | + | 0.272675i | ||||
\(518\) | −990.544 | − | 74.7710i | −1.91225 | − | 0.144346i | ||||
\(519\) | −128.613 | − | 263.005i | −0.247809 | − | 0.506754i | ||||
\(520\) | 691.931 | + | 20.5399i | 1.33064 | + | 0.0394998i | ||||
\(521\) | −120.250 | + | 49.8093i | −0.230807 | + | 0.0956033i | −0.495090 | − | 0.868842i | \(-0.664865\pi\) |
0.264283 | + | 0.964445i | \(0.414865\pi\) | |||||||
\(522\) | 393.781 | − | 186.153i | 0.754371 | − | 0.356614i | ||||
\(523\) | −189.767 | − | 284.006i | −0.362842 | − | 0.543032i | 0.604467 | − | 0.796630i | \(-0.293386\pi\) |
−0.967310 | + | 0.253598i | \(0.918386\pi\) | |||||||
\(524\) | −89.9829 | − | 191.949i | −0.171723 | − | 0.366316i | ||||
\(525\) | 966.761 | + | 562.461i | 1.84145 | + | 1.07136i | ||||
\(526\) | −44.3964 | + | 5.39868i | −0.0844039 | + | 0.0102637i | ||||
\(527\) | 197.029 | − | 197.029i | 0.373869 | − | 0.373869i | ||||
\(528\) | 154.469 | − | 633.277i | 0.292555 | − | 1.19939i | ||||
\(529\) | −41.1668 | + | 41.1668i | −0.0778199 | + | 0.0778199i | ||||
\(530\) | 169.175 | + | 132.492i | 0.319198 | + | 0.249984i | ||||
\(531\) | −37.7674 | − | 113.743i | −0.0711251 | − | 0.214205i | ||||
\(532\) | 446.341 | − | 489.088i | 0.838987 | − | 0.919338i | ||||
\(533\) | −4.99411 | − | 7.47421i | −0.00936980 | − | 0.0140229i | ||||
\(534\) | 767.408 | − | 306.046i | 1.43709 | − | 0.573120i | ||||
\(535\) | −676.874 | + | 280.370i | −1.26518 | + | 0.524056i | ||||
\(536\) | 144.684 | − | 203.213i | 0.269934 | − | 0.379128i | ||||
\(537\) | 151.286 | − | 73.9804i | 0.281724 | − | 0.137766i | ||||
\(538\) | 436.395 | + | 507.656i | 0.811143 | + | 0.943599i | ||||
\(539\) | 1297.71 | + | 258.130i | 2.40762 | + | 0.478905i | ||||
\(540\) | −28.7757 | − | 806.311i | −0.0532884 | − | 1.49317i | ||||
\(541\) | −369.786 | + | 553.424i | −0.683523 | + | 1.02297i | 0.313774 | + | 0.949498i | \(0.398407\pi\) |
−0.997298 | + | 0.0734675i | \(0.976593\pi\) | |||||||
\(542\) | 471.781 | + | 131.429i | 0.870444 | + | 0.242488i | ||||
\(543\) | 103.820 | − | 117.592i | 0.191197 | − | 0.216559i | ||||
\(544\) | 57.5086 | + | 266.751i | 0.105714 | + | 0.490352i | ||||
\(545\) | −952.860 | −1.74837 | ||||||||
\(546\) | 705.353 | − | 457.928i | 1.29186 | − | 0.838697i | ||||
\(547\) | −241.382 | + | 361.253i | −0.441283 | + | 0.660426i | −0.983728 | − | 0.179665i | \(-0.942499\pi\) |
0.542445 | + | 0.840091i | \(0.317499\pi\) | |||||||
\(548\) | 81.8359 | − | 538.980i | 0.149336 | − | 0.983540i | ||||
\(549\) | −738.283 | − | 53.3313i | −1.34478 | − | 0.0971426i | ||||
\(550\) | −634.565 | + | 545.488i | −1.15375 | + | 0.991797i | ||||
\(551\) | −126.675 | + | 305.821i | −0.229900 | + | 0.555029i | ||||
\(552\) | −338.625 | − | 472.833i | −0.613452 | − | 0.856581i | ||||
\(553\) | −1377.03 | + | 570.384i | −2.49011 | + | 1.03144i | ||||
\(554\) | 191.164 | − | 378.166i | 0.345062 | − | 0.682610i | ||||
\(555\) | 123.107 | − | 911.616i | 0.221815 | − | 1.64255i | ||||
\(556\) | 87.6005 | − | 4.00312i | 0.157555 | − | 0.00719986i | ||||
\(557\) | −251.464 | + | 50.0193i | −0.451462 | + | 0.0898013i | −0.415584 | − | 0.909555i | \(-0.636423\pi\) |
−0.0358778 | + | 0.999356i | \(0.511423\pi\) | |||||||
\(558\) | −504.424 | − | 302.471i | −0.903985 | − | 0.542063i | ||||
\(559\) | 65.8832 | − | 65.8832i | 0.117859 | − | 0.117859i | ||||
\(560\) | −151.621 | + | 1438.44i | −0.270751 | + | 2.56865i | ||||
\(561\) | 21.5670 | + | 346.742i | 0.0384439 | + | 0.618079i | ||||
\(562\) | −94.6534 | − | 778.388i | −0.168422 | − | 1.38503i | ||||
\(563\) | 18.3577 | + | 92.2904i | 0.0326069 | + | 0.163926i | 0.993658 | − | 0.112445i | \(-0.0358682\pi\) |
−0.961051 | + | 0.276371i | \(0.910868\pi\) | |||||||
\(564\) | 306.397 | + | 560.211i | 0.543256 | + | 0.993282i | ||||
\(565\) | −152.067 | − | 227.584i | −0.269145 | − | 0.402804i | ||||
\(566\) | −7.73831 | − | 23.5595i | −0.0136719 | − | 0.0416245i | ||||
\(567\) | −586.278 | − | 785.504i | −1.03400 | − | 1.38537i | ||||
\(568\) | −110.409 | + | 245.667i | −0.194382 | + | 0.432513i | ||||
\(569\) | −682.897 | − | 282.865i | −1.20017 | − | 0.497127i | −0.309117 | − | 0.951024i | \(-0.600033\pi\) |
−0.891054 | + | 0.453897i | \(0.850033\pi\) | |||||||
\(570\) | 427.803 | + | 439.269i | 0.750531 | + | 0.770647i | ||||
\(571\) | −900.959 | − | 179.212i | −1.57786 | − | 0.313856i | −0.673026 | − | 0.739618i | \(-0.735006\pi\) |
−0.904835 | + | 0.425762i | \(0.860006\pi\) | |||||||
\(572\) | 150.788 | + | 610.839i | 0.263615 | + | 1.06790i | ||||
\(573\) | 624.157 | − | 165.016i | 1.08928 | − | 0.287986i | ||||
\(574\) | 16.3584 | − | 9.22997i | 0.0284989 | − | 0.0160801i | ||||
\(575\) | 746.600i | 1.29843i | ||||||||
\(576\) | 516.742 | − | 254.467i | 0.897122 | − | 0.441782i | ||||
\(577\) | −185.309 | −0.321159 | −0.160580 | − | 0.987023i | \(-0.551336\pi\) | ||||
−0.160580 | + | 0.987023i | \(0.551336\pi\) | |||||||
\(578\) | 212.566 | + | 376.732i | 0.367760 | + | 0.651786i | ||||
\(579\) | −65.6548 | − | 248.333i | −0.113393 | − | 0.428900i | ||||
\(580\) | −173.297 | − | 702.022i | −0.298787 | − | 1.21038i | ||||
\(581\) | 230.863 | − | 1160.63i | 0.397355 | − | 1.99764i | ||||
\(582\) | −376.381 | + | 366.557i | −0.646703 | + | 0.629823i | ||||
\(583\) | −74.7405 | + | 180.440i | −0.128200 | + | 0.309502i | ||||
\(584\) | −707.819 | + | 268.871i | −1.21202 | + | 0.460395i | ||||
\(585\) | 384.881 | + | 677.009i | 0.657916 | + | 1.15728i | ||||
\(586\) | −95.4448 | + | 31.3497i | −0.162875 | + | 0.0534977i | ||||
\(587\) | 529.217 | − | 353.611i | 0.901561 | − | 0.602404i | −0.0160551 | − | 0.999871i | \(-0.505111\pi\) |
0.917616 | + | 0.397467i | \(0.130111\pi\) | |||||||
\(588\) | 561.031 | + | 1025.78i | 0.954134 | + | 1.74452i | ||||
\(589\) | 438.398 | − | 87.2027i | 0.744309 | − | 0.148052i | ||||
\(590\) | −197.511 | + | 24.0176i | −0.334764 | + | 0.0407079i | ||||
\(591\) | −310.093 | + | 19.2875i | −0.524692 | + | 0.0326353i | ||||
\(592\) | 629.732 | − | 186.331i | 1.06374 | − | 0.314748i | ||||
\(593\) | 110.696 | + | 110.696i | 0.186671 | + | 0.186671i | 0.794255 | − | 0.607584i | \(-0.207861\pi\) |
−0.607584 | + | 0.794255i | \(0.707861\pi\) | |||||||
\(594\) | 698.956 | − | 221.865i | 1.17669 | − | 0.373511i | ||||
\(595\) | −150.394 | − | 756.081i | −0.252763 | − | 1.27072i | ||||
\(596\) | −226.119 | + | 10.3331i | −0.379395 | + | 0.0173374i | ||||
\(597\) | 863.892 | + | 116.662i | 1.44706 | + | 0.195414i | ||||
\(598\) | 500.985 | + | 253.250i | 0.837767 | + | 0.423495i | ||||
\(599\) | −109.139 | − | 263.486i | −0.182203 | − | 0.439876i | 0.806217 | − | 0.591620i | \(-0.201511\pi\) |
−0.988420 | + | 0.151743i | \(0.951511\pi\) | |||||||
\(600\) | −729.524 | − | 120.656i | −1.21587 | − | 0.201094i | ||||
\(601\) | 12.3425 | + | 5.11243i | 0.0205366 | + | 0.00850654i | 0.392928 | − | 0.919569i | \(-0.371462\pi\) |
−0.372391 | + | 0.928076i | \(0.621462\pi\) | |||||||
\(602\) | 126.909 | + | 147.633i | 0.210813 | + | 0.245238i | ||||
\(603\) | 279.910 | + | 20.2198i | 0.464196 | + | 0.0335321i | ||||
\(604\) | 176.591 | − | 1163.05i | 0.292369 | − | 1.92557i | ||||
\(605\) | −393.928 | − | 263.214i | −0.651121 | − | 0.435065i | ||||
\(606\) | −308.567 | − | 475.290i | −0.509187 | − | 0.784307i | ||||
\(607\) | 546.365i | 0.900106i | 0.893002 | + | 0.450053i | \(0.148595\pi\) | ||||
−0.893002 | + | 0.450053i | \(0.851405\pi\) | |||||||
\(608\) | −161.030 | + | 407.051i | −0.264852 | + | 0.669491i | ||||
\(609\) | −658.523 | − | 581.401i | −1.08132 | − | 0.954682i | ||||
\(610\) | −329.773 | + | 1183.76i | −0.540612 | + | 1.94060i | ||||
\(611\) | −512.451 | − | 342.409i | −0.838709 | − | 0.560408i | ||||
\(612\) | −222.739 | + | 211.259i | −0.363952 | + | 0.345194i | ||||
\(613\) | −96.6037 | + | 485.659i | −0.157592 | + | 0.792267i | 0.818432 | + | 0.574603i | \(0.194844\pi\) |
−0.976024 | + | 0.217664i | \(0.930156\pi\) | |||||||
\(614\) | 302.811 | − | 260.305i | 0.493178 | − | 0.423949i | ||||
\(615\) | 7.64093 | + | 15.6253i | 0.0124243 | + | 0.0254069i | ||||
\(616\) | −1296.43 | + | 218.104i | −2.10459 | + | 0.354064i | ||||
\(617\) | 344.824 | + | 832.478i | 0.558872 | + | 1.34924i | 0.910660 | + | 0.413156i | \(0.135574\pi\) |
−0.351789 | + | 0.936079i | \(0.614426\pi\) | |||||||
\(618\) | −104.767 | − | 262.703i | −0.169527 | − | 0.425086i | ||||
\(619\) | −593.178 | + | 396.349i | −0.958284 | + | 0.640305i | −0.933191 | − | 0.359380i | \(-0.882988\pi\) |
−0.0250929 | + | 0.999685i | \(0.507988\pi\) | |||||||
\(620\) | −658.197 | + | 721.234i | −1.06161 | + | 1.16328i | ||||
\(621\) | 256.410 | − | 601.944i | 0.412898 | − | 0.969314i | ||||
\(622\) | −288.342 | + | 368.176i | −0.463573 | + | 0.591923i | ||||
\(623\) | −1178.22 | − | 1178.22i | −1.89121 | − | 1.89121i | ||||
\(624\) | −328.420 | + | 448.599i | −0.526315 | + | 0.718909i | ||||
\(625\) | −315.372 | − | 315.372i | −0.504595 | − | 0.504595i | ||||
\(626\) | −3.81678 | − | 31.3875i | −0.00609709 | − | 0.0501398i | ||||
\(627\) | −280.260 | + | 481.712i | −0.446985 | + | 0.768280i | ||||
\(628\) | 33.0635 | + | 70.5303i | 0.0526489 | + | 0.112309i | ||||
\(629\) | −291.024 | + | 194.456i | −0.462677 | + | 0.309151i | ||||
\(630\) | −1471.12 | + | 695.443i | −2.33511 | + | 1.10388i | ||||
\(631\) | 5.85195 | + | 14.1279i | 0.00927409 | + | 0.0223896i | 0.928449 | − | 0.371461i | \(-0.121143\pi\) |
−0.919175 | + | 0.393850i | \(0.871143\pi\) | |||||||
\(632\) | 717.131 | − | 675.782i | 1.13470 | − | 1.06928i | ||||
\(633\) | 665.690 | − | 325.530i | 1.05164 | − | 0.514266i | ||||
\(634\) | 22.5235 | − | 298.385i | 0.0355261 | − | 0.470639i | ||||
\(635\) | 245.797 | − | 1235.70i | 0.387082 | − | 1.94599i | ||||
\(636\) | −164.662 | + | 51.6827i | −0.258902 | + | 0.0812621i | ||||
\(637\) | −938.329 | − | 626.972i | −1.47304 | − | 0.984257i | ||||
\(638\) | 572.394 | − | 322.965i | 0.897169 | − | 0.506215i | ||||
\(639\) | −300.669 | + | 37.5479i | −0.470531 | + | 0.0587604i | ||||
\(640\) | −243.985 | − | 924.585i | −0.381227 | − | 1.44466i | ||||
\(641\) | 468.390i | 0.730717i | 0.930867 | + | 0.365359i | \(0.119054\pi\) | ||||
−0.930867 | + | 0.365359i | \(0.880946\pi\) | |||||||
\(642\) | 122.416 | − | 575.547i | 0.190679 | − | 0.896490i | ||||
\(643\) | 596.885 | + | 398.826i | 0.928281 | + | 0.620258i | 0.925094 | − | 0.379737i | \(-0.123986\pi\) |
0.00318693 | + | 0.999995i | \(0.498986\pi\) | |||||||
\(644\) | −606.453 | + | 1004.00i | −0.941697 | + | 1.55900i | ||||
\(645\) | −143.394 | + | 109.273i | −0.222316 | + | 0.169415i | ||||
\(646\) | 17.5610 | − | 232.643i | 0.0271842 | − | 0.360128i | ||||
\(647\) | 673.324 | + | 278.900i | 1.04069 | + | 0.431066i | 0.836558 | − | 0.547878i | \(-0.184564\pi\) |
0.204128 | + | 0.978944i | \(0.434564\pi\) | |||||||
\(648\) | 546.738 | + | 347.824i | 0.843732 | + | 0.536765i | ||||
\(649\) | −69.2046 | − | 167.075i | −0.106633 | − | 0.257434i | ||||
\(650\) | 678.078 | − | 222.721i | 1.04320 | − | 0.342647i | ||||
\(651\) | −158.748 | + | 1175.54i | −0.243852 | + | 1.80574i | ||||
\(652\) | 441.338 | + | 941.452i | 0.676899 | + | 1.44394i | ||||
\(653\) | −52.7284 | − | 265.083i | −0.0807479 | − | 0.405947i | −0.999927 | − | 0.0121066i | \(-0.996146\pi\) |
0.919179 | − | 0.393840i | \(-0.128854\pi\) | |||||||
\(654\) | 433.548 | − | 630.637i | 0.662918 | − | 0.964276i | ||||
\(655\) | −279.965 | − | 279.965i | −0.427428 | − | 0.427428i | ||||
\(656\) | −7.94300 | + | 9.54463i | −0.0121082 | + | 0.0145497i | ||||
\(657\) | −672.318 | − | 523.040i | −1.02331 | − | 0.796104i | ||||
\(658\) | 794.024 | − | 1013.87i | 1.20672 | − | 1.54083i | ||||
\(659\) | −369.319 | + | 73.4622i | −0.560424 | + | 0.111475i | −0.467171 | − | 0.884167i | \(-0.654727\pi\) |
−0.0932532 | + | 0.995642i | \(0.529727\pi\) | |||||||
\(660\) | −130.965 | − | 1210.35i | −0.198431 | − | 1.83386i | ||||
\(661\) | 120.623 | − | 80.5980i | 0.182486 | − | 0.121934i | −0.460972 | − | 0.887415i | \(-0.652499\pi\) |
0.643458 | + | 0.765481i | \(0.277499\pi\) | |||||||
\(662\) | −155.482 | − | 78.5966i | −0.234867 | − | 0.118726i | ||||
\(663\) | 96.1811 | − | 280.270i | 0.145069 | − | 0.422730i | ||||
\(664\) | 129.791 | + | 771.492i | 0.195469 | + | 1.16189i | ||||
\(665\) | 473.242 | − | 1142.51i | 0.711643 | − | 1.71806i | ||||
\(666\) | 547.327 | + | 496.259i | 0.821812 | + | 0.745134i | ||||
\(667\) | 114.397 | − | 575.114i | 0.171510 | − | 0.862240i | ||||
\(668\) | 533.032 | + | 723.873i | 0.797951 | + | 1.08364i | ||||
\(669\) | −1017.59 | + | 269.032i | −1.52106 | + | 0.402141i | ||||
\(670\) | 125.029 | − | 448.808i | 0.186611 | − | 0.669863i | ||||
\(671\) | −1116.90 | −1.66452 | ||||||||
\(672\) | −883.027 | − | 754.836i | −1.31403 | − | 1.12327i | ||||
\(673\) | 896.920i | 1.33272i | 0.745630 | + | 0.666360i | \(0.232149\pi\) | ||||
−0.745630 | + | 0.666360i | \(0.767851\pi\) | |||||||
\(674\) | −257.025 | + | 922.626i | −0.381343 | + | 1.36888i | ||||
\(675\) | −310.645 | − | 771.684i | −0.460214 | − | 1.14324i | ||||
\(676\) | −20.9209 | + | 137.787i | −0.0309480 | + | 0.203827i | ||||
\(677\) | 842.597 | + | 167.603i | 1.24460 | + | 0.247567i | 0.773093 | − | 0.634293i | \(-0.218709\pi\) |
0.471512 | + | 0.881860i | \(0.343709\pi\) | |||||||
\(678\) | 219.814 | + | 2.90676i | 0.324209 | + | 0.00428725i | ||||
\(679\) | 978.942 | + | 405.491i | 1.44174 | + | 0.597189i | ||||
\(680\) | 270.445 | + | 431.968i | 0.397713 | + | 0.635247i | ||||
\(681\) | 402.209 | − | 1172.03i | 0.590616 | − | 1.72104i | ||||
\(682\) | −792.029 | − | 400.373i | −1.16133 | − | 0.587058i | ||||
\(683\) | 284.099 | + | 425.185i | 0.415958 | + | 0.622525i | 0.978990 | − | 0.203910i | \(-0.0653650\pi\) |
−0.563032 | + | 0.826435i | \(0.690365\pi\) | |||||||
\(684\) | −485.372 | + | 83.2693i | −0.709609 | + | 0.121739i | ||||
\(685\) | −198.633 | − | 998.598i | −0.289976 | − | 1.45781i | ||||
\(686\) | 722.712 | − | 922.811i | 1.05352 | − | 1.34521i | ||||
\(687\) | −1044.74 | + | 64.9820i | −1.52073 | + | 0.0945881i | ||||
\(688\) | −113.091 | − | 61.4472i | −0.164377 | − | 0.0893128i | ||||
\(689\) | 117.790 | − | 117.790i | 0.170958 | − | 0.170958i | ||||
\(690\) | −895.077 | − | 615.344i | −1.29721 | − | 0.891803i | ||||
\(691\) | −100.509 | + | 19.9924i | −0.145454 | + | 0.0289326i | −0.267280 | − | 0.963619i | \(-0.586125\pi\) |
0.121826 | + | 0.992551i | \(0.461125\pi\) | |||||||
\(692\) | 132.764 | − | 367.087i | 0.191856 | − | 0.530472i | ||||
\(693\) | −967.730 | − | 1118.43i | −1.39644 | − | 1.61389i | ||||
\(694\) | −369.276 | + | 121.292i | −0.532098 | + | 0.174772i | ||||
\(695\) | 151.311 | − | 62.6750i | 0.217713 | − | 0.0901799i | ||||
\(696\) | 543.472 | + | 204.724i | 0.780851 | + | 0.294143i | ||||
\(697\) | 2.53263 | − | 6.11430i | 0.00363361 | − | 0.00877231i | ||||
\(698\) | 74.0198 | − | 980.592i | 0.106046 | − | 1.40486i | ||||
\(699\) | −796.676 | + | 607.105i | −1.13974 | + | 0.868534i | ||||
\(700\) | 357.405 | + | 1447.84i | 0.510578 | + | 2.06834i | ||||
\(701\) | 475.833 | − | 712.135i | 0.678792 | − | 1.01588i | −0.318887 | − | 0.947793i | \(-0.603309\pi\) |
0.997679 | − | 0.0680914i | \(-0.0216910\pi\) | |||||||
\(702\) | −623.189 | − | 53.3090i | −0.887733 | − | 0.0759388i | ||||
\(703\) | −561.477 | −0.798686 | ||||||||
\(704\) | 750.020 | − | 439.144i | 1.06537 | − | 0.623784i | ||||
\(705\) | 893.976 | + | 789.279i | 1.26805 | + | 1.11955i | ||||
\(706\) | −53.2857 | + | 30.0657i | −0.0754755 | + | 0.0425859i | ||||
\(707\) | −634.944 | + | 950.260i | −0.898082 | + | 1.34407i | ||||
\(708\) | 73.9710 | − | 141.648i | 0.104479 | − | 0.200067i | ||||
\(709\) | −353.988 | − | 70.4127i | −0.499279 | − | 0.0993127i | −0.0609743 | − | 0.998139i | \(-0.519421\pi\) |
−0.438304 | + | 0.898827i | \(0.644421\pi\) | |||||||
\(710\) | −37.8632 | + | 501.600i | −0.0533285 | + | 0.706479i | ||||
\(711\) | 1068.84 | + | 294.039i | 1.50329 | + | 0.413557i | ||||
\(712\) | 1004.77 | + | 451.568i | 1.41119 | + | 0.634224i | ||||
\(713\) | −731.540 | + | 303.014i | −1.02600 | + | 0.424984i | ||||
\(714\) | 568.830 | + | 244.478i | 0.796681 | + | 0.342407i | ||||
\(715\) | 652.838 | + | 977.041i | 0.913060 | + | 1.36649i | ||||
\(716\) | 211.155 | + | 76.3685i | 0.294909 | + | 0.106660i | ||||
\(717\) | −509.798 | + | 876.243i | −0.711016 | + | 1.22210i | ||||
\(718\) | −103.848 | − | 853.998i | −0.144635 | − | 1.18941i | ||||
\(719\) | 258.783 | − | 258.783i | 0.359921 | − | 0.359921i | −0.503863 | − | 0.863784i | \(-0.668088\pi\) |
0.863784 | + | 0.503863i | \(0.168088\pi\) | |||||||
\(720\) | 745.921 | − | 775.160i | 1.03600 | − | 1.07661i | ||||
\(721\) | −403.336 | + | 403.336i | −0.559412 | + | 0.559412i | ||||
\(722\) | −214.410 | + | 273.774i | −0.296966 | + | 0.379188i | ||||
\(723\) | 212.652 | − | 365.507i | 0.294125 | − | 0.505543i | ||||
\(724\) | 208.934 | − | 9.54776i | 0.288583 | − | 0.0131875i | ||||
\(725\) | −414.197 | − | 619.890i | −0.571307 | − | 0.855021i | ||||
\(726\) | 353.441 | − | 140.954i | 0.486833 | − | 0.194152i | ||||
\(727\) | 896.400 | − | 371.301i | 1.23301 | − | 0.510730i | 0.331488 | − | 0.943459i | \(-0.392449\pi\) |
0.901524 | + | 0.432729i | \(0.142449\pi\) | |||||||
\(728\) | 1092.77 | + | 251.287i | 1.50105 | + | 0.345175i | ||||
\(729\) | −14.5684 | + | 728.854i | −0.0199841 | + | 0.999800i | ||||
\(730\) | −1072.36 | + | 921.831i | −1.46899 | + | 1.26278i | ||||
\(731\) | 67.2785 | + | 13.3825i | 0.0920363 | + | 0.0183072i | ||||
\(732\) | −633.412 | − | 756.865i | −0.865317 | − | 1.03397i | ||||
\(733\) | 226.209 | − | 338.545i | 0.308607 | − | 0.461863i | −0.644453 | − | 0.764644i | \(-0.722915\pi\) |
0.953060 | + | 0.302781i | \(0.0979151\pi\) | |||||||
\(734\) | 120.262 | − | 431.696i | 0.163844 | − | 0.588141i | ||||
\(735\) | 1636.92 | + | 1445.22i | 2.22711 | + | 1.96628i | ||||
\(736\) | 139.102 | − | 762.865i | 0.188997 | − | 1.03650i | ||||
\(737\) | 423.456 | 0.574567 | ||||||||
\(738\) | −13.8180 | − | 2.05240i | −0.0187235 | − | 0.00278103i | ||||
\(739\) | 632.251 | − | 946.231i | 0.855550 | − | 1.28042i | −0.102765 | − | 0.994706i | \(-0.532769\pi\) |
0.958315 | − | 0.285715i | \(-0.0922311\pi\) | |||||||
\(740\) | 987.646 | − | 727.263i | 1.33466 | − | 0.982788i | ||||
\(741\) | 378.072 | − | 288.109i | 0.510219 | − | 0.388811i | ||||
\(742\) | 226.896 | + | 263.947i | 0.305790 | + | 0.355724i | ||||
\(743\) | 176.935 | − | 427.160i | 0.238137 | − | 0.574912i | −0.758954 | − | 0.651145i | \(-0.774289\pi\) |
0.997090 | + | 0.0762324i | \(0.0242891\pi\) | |||||||
\(744\) | −177.861 | − | 763.777i | −0.239060 | − | 1.02658i | ||||
\(745\) | −390.572 | + | 161.780i | −0.524258 | + | 0.217155i | ||||
\(746\) | −284.279 | − | 143.704i | −0.381071 | − | 0.192633i | ||||
\(747\) | −665.565 | + | 575.886i | −0.890983 | + | 0.770932i | ||||
\(748\) | −312.250 | + | 342.154i | −0.417446 | + | 0.457426i | ||||
\(749\) | −1163.93 | + | 231.521i | −1.55398 | + | 0.309107i | ||||
\(750\) | −256.059 | + | 47.4225i | −0.341412 | + | 0.0632300i | ||||
\(751\) | 607.594 | − | 607.594i | 0.809046 | − | 0.809046i | −0.175443 | − | 0.984490i | \(-0.556136\pi\) |
0.984490 | + | 0.175443i | \(0.0561359\pi\) | |||||||
\(752\) | −252.709 | + | 812.998i | −0.336049 | + | 1.08111i | ||||
\(753\) | −351.963 | + | 21.8917i | −0.467414 | + | 0.0290727i | ||||
\(754\) | −556.457 | + | 67.6662i | −0.738007 | + | 0.0897429i | ||||
\(755\) | −428.624 | − | 2154.84i | −0.567714 | − | 2.85409i | ||||
\(756\) | 209.085 | − | 1290.06i | 0.276568 | − | 1.70643i | ||||
\(757\) | 532.638 | + | 797.150i | 0.703617 | + | 1.05304i | 0.995330 | + | 0.0965317i | \(0.0307749\pi\) |
−0.291713 | + | 0.956506i | \(0.594225\pi\) | |||||||
\(758\) | 35.5214 | − | 11.6673i | 0.0468620 | − | 0.0153922i | ||||
\(759\) | 320.450 | − | 933.786i | 0.422201 | − | 1.23029i | ||||
\(760\) | −24.2583 | + | 817.194i | −0.0319189 | + | 1.07526i | ||||
\(761\) | 940.607 | + | 389.612i | 1.23601 | + | 0.511974i | 0.902467 | − | 0.430760i | \(-0.141754\pi\) |
0.333547 | + | 0.942733i | \(0.391754\pi\) | |||||||
\(762\) | 705.996 | + | 724.918i | 0.926504 | + | 0.951337i | ||||
\(763\) | −1513.79 | − | 301.111i | −1.98400 | − | 0.394641i | ||||
\(764\) | 736.817 | + | 445.065i | 0.964420 | + | 0.582546i | ||||
\(765\) | −257.006 | + | 512.521i | −0.335955 | + | 0.669962i | ||||
\(766\) | −64.4173 | − | 114.167i | −0.0840957 | − | 0.149044i | ||||
\(767\) | 154.242i | 0.201098i | ||||||||
\(768\) | 722.936 | + | 259.205i | 0.941323 | + | 0.337507i | ||||
\(769\) | 397.909 | 0.517437 | 0.258718 | − | 0.965953i | \(-0.416700\pi\) | ||||
0.258718 | + | 0.965953i | \(0.416700\pi\) | |||||||
\(770\) | −2138.39 | + | 1206.56i | −2.77713 | + | 1.56696i | ||||
\(771\) | 113.478 | − | 30.0015i | 0.147182 | − | 0.0389124i | ||||
\(772\) | 177.078 | − | 293.157i | 0.229375 | − | 0.379737i | ||||
\(773\) | −198.492 | + | 997.885i | −0.256781 | + | 1.29092i | 0.610066 | + | 0.792351i | \(0.291143\pi\) |
−0.866847 | + | 0.498574i | \(0.833857\pi\) | |||||||
\(774\) | −7.07706 | − | 144.622i | −0.00914349 | − | 0.186850i | ||||
\(775\) | −385.257 | + | 930.093i | −0.497106 | + | 1.20012i | ||||
\(776\) | −700.201 | − | 20.7854i | −0.902321 | − | 0.0267853i | ||||
\(777\) | 483.656 | − | 1409.36i | 0.622466 | − | 1.81385i | ||||
\(778\) | −306.694 | − | 933.736i | −0.394208 | − | 1.20017i | ||||
\(779\) | 8.82729 | − | 5.89821i | 0.0113316 | − | 0.00757151i | ||||
\(780\) | −291.856 | + | 996.493i | −0.374174 | + | 1.27756i | ||||
\(781\) | −448.418 | + | 89.1958i | −0.574158 | + | 0.114207i | ||||
\(782\) | 49.8889 | + | 410.265i | 0.0637966 | + | 0.524635i | ||||
\(783\) | 121.052 | + | 642.035i | 0.154600 | + | 0.819968i | ||||
\(784\) | −462.725 | + | 1488.65i | −0.590210 | + | 1.89879i | ||||
\(785\) | 102.871 | + | 102.871i | 0.131046 | + | 0.131046i | ||||
\(786\) | 312.674 | − | 57.9077i | 0.397804 | − | 0.0736739i | ||||
\(787\) | 36.5214 | + | 183.605i | 0.0464058 | + | 0.233298i | 0.997027 | − | 0.0770567i | \(-0.0245522\pi\) |
−0.950621 | + | 0.310354i | \(0.899552\pi\) | |||||||
\(788\) | −305.990 | − | 279.246i | −0.388312 | − | 0.354374i | ||||
\(789\) | 8.97787 | − | 66.4818i | 0.0113788 | − | 0.0842608i | ||||
\(790\) | 830.243 | − | 1642.41i | 1.05094 | − | 2.07900i | ||||
\(791\) | −169.667 | − | 409.613i | −0.214497 | − | 0.517842i | ||||
\(792\) | 860.641 | + | 464.028i | 1.08667 | + | 0.585894i | ||||
\(793\) | 880.106 | + | 364.552i | 1.10984 | + | 0.459712i | ||||
\(794\) | −934.081 | + | 802.961i | −1.17642 | + | 1.01129i | ||||
\(795\) | −256.368 | + | 195.365i | −0.322475 | + | 0.245742i | ||||
\(796\) | 689.190 | + | 935.941i | 0.865816 | + | 1.17581i | ||||
\(797\) | −296.861 | − | 198.356i | −0.372473 | − | 0.248878i | 0.355218 | − | 0.934783i | \(-0.384407\pi\) |
−0.727691 | + | 0.685905i | \(0.759407\pi\) | |||||||
\(798\) | 540.829 | + | 833.046i | 0.677731 | + | 1.04392i | ||||
\(799\) | − | 453.752i | − | 0.567900i | ||||||
\(800\) | −560.780 | − | 810.893i | −0.700975 | − | 1.01362i | ||||
\(801\) | 153.569 | + | 1229.72i | 0.191722 | + | 1.53523i | ||||
\(802\) | 115.633 | + | 32.2129i | 0.144180 | + | 0.0401657i | ||||
\(803\) | −1068.68 | − | 714.072i | −1.33086 | − | 0.889255i | ||||
\(804\) | 240.150 | + | 286.955i | 0.298694 | + | 0.356909i | ||||
\(805\) | −427.374 | + | 2148.55i | −0.530899 | + | 2.66901i | ||||
\(806\) | 493.432 | + | 574.007i | 0.612198 | + | 0.712168i | ||||
\(807\) | −902.083 | + | 441.129i | −1.11782 | + | 0.546628i | ||||
\(808\) | 169.326 | − | 736.342i | 0.209561 | − | 0.911314i | ||||
\(809\) | −505.763 | − | 1221.02i | −0.625171 | − | 1.50930i | −0.845558 | − | 0.533883i | \(-0.820732\pi\) |
0.220388 | − | 0.975412i | \(-0.429268\pi\) | |||||||
\(810\) | 1181.18 | + | 263.596i | 1.45825 | + | 0.325427i | ||||
\(811\) | −207.381 | + | 138.567i | −0.255710 | + | 0.170860i | −0.676818 | − | 0.736151i | \(-0.736641\pi\) |
0.421108 | + | 0.907011i | \(0.361641\pi\) | |||||||
\(812\) | −53.4684 | − | 1170.05i | −0.0658477 | − | 1.44095i | ||||
\(813\) | −369.426 | + | 634.971i | −0.454399 | + | 0.781022i | ||||
\(814\) | 877.665 | + | 687.355i | 1.07821 | + | 0.844417i | ||||
\(815\) | 1373.14 | + | 1373.14i | 1.68484 | + | 1.68484i | ||||
\(816\) | −408.943 | − | 17.5541i | −0.501156 | − | 0.0215124i | ||||
\(817\) | 77.8103 | + | 77.8103i | 0.0952390 | + | 0.0952390i | ||||
\(818\) | 269.183 | − | 32.7331i | 0.329075 | − | 0.0400161i | ||||
\(819\) | 397.512 | + | 1197.18i | 0.485363 | + | 1.46175i | ||||
\(820\) | −7.88758 | + | 21.8088i | −0.00961899 | + | 0.0265960i | ||||
\(821\) | −712.809 | + | 476.284i | −0.868220 | + | 0.580126i | −0.907947 | − | 0.419084i | \(-0.862351\pi\) |
0.0397271 | + | 0.999211i | \(0.487351\pi\) | |||||||
\(822\) | 751.285 | + | 322.896i | 0.913973 | + | 0.392818i | ||||
\(823\) | 52.4924 | + | 126.728i | 0.0637817 | + | 0.153983i | 0.952557 | − | 0.304361i | \(-0.0984429\pi\) |
−0.888775 | + | 0.458344i | \(0.848443\pi\) | |||||||
\(824\) | 154.583 | − | 343.958i | 0.187601 | − | 0.417425i | ||||
\(825\) | −551.406 | − | 1127.59i | −0.668371 | − | 1.36678i | ||||
\(826\) | −321.371 | − | 24.2586i | −0.389069 | − | 0.0293688i | ||||
\(827\) | −19.7276 | + | 99.1775i | −0.0238545 | + | 0.119924i | −0.990878 | − | 0.134763i | \(-0.956973\pi\) |
0.967023 | + | 0.254688i | \(0.0819726\pi\) | |||||||
\(828\) | 814.514 | − | 312.414i | 0.983712 | − | 0.377312i | ||||
\(829\) | −3.64269 | − | 2.43397i | −0.00439408 | − | 0.00293603i | 0.553371 | − | 0.832935i | \(-0.313341\pi\) |
−0.557765 | + | 0.829999i | \(0.688341\pi\) | |||||||
\(830\) | 718.009 | + | 1272.54i | 0.865071 | + | 1.53317i | ||||
\(831\) | 476.475 | + | 420.674i | 0.573376 | + | 0.506226i | ||||
\(832\) | −734.346 | + | 101.237i | −0.882627 | + | 0.121680i | ||||
\(833\) | − | 830.848i | − | 0.997417i | ||||||
\(834\) | −27.3654 | + | 128.660i | −0.0328122 | + | 0.154268i | ||||
\(835\) | 1395.98 | + | 932.762i | 1.67183 | + | 1.11708i | ||||
\(836\) | −721.421 | + | 178.085i | −0.862944 | + | 0.213021i | ||||
\(837\) | 630.040 | − | 617.573i | 0.752736 | − | 0.737841i | ||||
\(838\) | −970.262 | − | 73.2400i | −1.15783 | − | 0.0873986i | ||||
\(839\) | 405.021 | + | 167.765i | 0.482743 | + | 0.199959i | 0.610764 | − | 0.791813i | \(-0.290863\pi\) |
−0.128021 | + | 0.991771i | \(0.540863\pi\) | |||||||
\(840\) | −2030.34 | − | 764.822i | −2.41708 | − | 0.910502i | ||||
\(841\) | −97.7584 | − | 236.010i | −0.116241 | − | 0.280630i | ||||
\(842\) | 315.320 | + | 959.999i | 0.374490 | + | 1.14014i | ||||
\(843\) | 1165.60 | + | 157.406i | 1.38268 | + | 0.186721i | ||||
\(844\) | 929.129 | + | 336.038i | 1.10086 | + | 0.398149i | ||||
\(845\) | 50.7795 | + | 255.286i | 0.0600941 | + | 0.302113i | ||||
\(846\) | −929.130 | + | 232.546i | −1.09826 | + | 0.274877i | ||||
\(847\) | −542.648 | − | 542.648i | −0.640670 | − | 0.640670i | ||||
\(848\) | −202.191 | − | 109.859i | −0.238433 | − | 0.129551i | ||||
\(849\) | 37.1249 | − | 2.30913i | 0.0437278 | − | 0.00271983i | ||||
\(850\) | 413.691 | + | 323.988i | 0.486695 | + | 0.381162i | ||||
\(851\) | 975.515 | − | 194.042i | 1.14632 | − | 0.228016i | ||||
\(852\) | −314.749 | − | 253.286i | −0.369424 | − | 0.297284i | ||||
\(853\) | 720.251 | − | 481.256i | 0.844374 | − | 0.564192i | −0.0564362 | − | 0.998406i | \(-0.517974\pi\) |
0.900810 | + | 0.434214i | \(0.142974\pi\) | |||||||
\(854\) | −897.983 | + | 1776.41i | −1.05150 | + | 2.08011i | ||||
\(855\) | −799.571 | + | 454.558i | −0.935171 | + | 0.531646i | ||||
\(856\) | 664.985 | − | 416.331i | 0.776852 | − | 0.486368i | ||||
\(857\) | 334.553 | − | 807.683i | 0.390377 | − | 0.942453i | −0.599481 | − | 0.800389i | \(-0.704626\pi\) |
0.989857 | − | 0.142064i | \(-0.0453739\pi\) | |||||||
\(858\) | −943.679 | − | 12.4790i | −1.09986 | − | 0.0145443i | ||||
\(859\) | −51.3640 | + | 258.224i | −0.0597951 | + | 0.300610i | −0.999097 | − | 0.0424807i | \(-0.986474\pi\) |
0.939302 | + | 0.343091i | \(0.111474\pi\) | |||||||
\(860\) | −237.655 | − | 36.0842i | −0.276343 | − | 0.0419584i | ||||
\(861\) | 7.20128 | + | 27.2381i | 0.00836385 | + | 0.0316355i | ||||
\(862\) | −976.210 | − | 271.953i | −1.13249 | − | 0.315490i | ||||
\(863\) | 181.297 | 0.210077 | 0.105039 | − | 0.994468i | \(-0.466503\pi\) | ||||
0.105039 | + | 0.994468i | \(0.466503\pi\) | |||||||
\(864\) | 173.637 | + | 846.372i | 0.200968 | + | 0.979598i | ||||
\(865\) | − | 729.050i | − | 0.842832i | ||||||
\(866\) | 694.398 | + | 193.445i | 0.801845 | + | 0.223378i | ||||
\(867\) | −627.292 | + | 165.845i | −0.723520 | + | 0.191286i | ||||
\(868\) | −1273.58 | + | 937.814i | −1.46726 | + | 1.08043i | ||||
\(869\) | 1640.54 | + | 326.323i | 1.88785 | + | 0.375516i | ||||
\(870\) | 1084.55 | + | 14.3418i | 1.24661 | + | 0.0164848i | ||||
\(871\) | −333.680 | − | 138.215i | −0.383100 | − | 0.158685i | ||||
\(872\) | 1006.24 | − | 169.285i | 1.15395 | − | 0.194134i | ||||
\(873\) | −389.481 | − | 685.101i | −0.446141 | − | 0.784767i | ||||
\(874\) | −299.097 | + | 591.680i | −0.342216 | + | 0.676980i | ||||
\(875\) | 291.789 | + | 436.693i | 0.333473 | + | 0.499077i | ||||
\(876\) | −122.179 | − | 1129.16i | −0.139474 | − | 1.28899i | ||||
\(877\) | 56.3934 | + | 283.509i | 0.0643026 | + | 0.323271i | 0.999526 | − | 0.0307872i | \(-0.00980143\pi\) |
−0.935223 | + | 0.354058i | \(0.884801\pi\) | |||||||
\(878\) | 128.272 | + | 100.458i | 0.146096 | + | 0.114417i | ||||
\(879\) | −9.35482 | − | 150.402i | −0.0106426 | − | 0.171105i | ||||
\(880\) | 1038.32 | − | 1247.69i | 1.17991 | − | 1.41783i | ||||
\(881\) | −773.249 | + | 773.249i | −0.877695 | + | 0.877695i | −0.993296 | − | 0.115601i | \(-0.963121\pi\) |
0.115601 | + | 0.993296i | \(0.463121\pi\) | |||||||
\(882\) | −1701.29 | + | 425.806i | −1.92890 | + | 0.482773i | ||||
\(883\) | −612.046 | + | 121.743i | −0.693144 | + | 0.137875i | −0.529076 | − | 0.848574i | \(-0.677461\pi\) |
−0.164067 | + | 0.986449i | \(0.552461\pi\) | |||||||
\(884\) | 357.729 | − | 167.698i | 0.404670 | − | 0.189703i | ||||
\(885\) | 39.9407 | − | 295.764i | 0.0451308 | − | 0.334196i | ||||
\(886\) | −44.1754 | − | 134.493i | −0.0498594 | − | 0.151798i | ||||
\(887\) | 4.14547 | − | 1.71711i | 0.00467358 | − | 0.00193586i | −0.380345 | − | 0.924845i | \(-0.624195\pi\) |
0.385019 | + | 0.922909i | \(0.374195\pi\) | |||||||
\(888\) | 31.9531 | + | 984.561i | 0.0359832 | + | 1.10874i | ||||
\(889\) | 780.985 | − | 1885.46i | 0.878498 | − | 2.12088i | ||||
\(890\) | 2051.52 | + | 154.859i | 2.30508 | + | 0.173999i | ||||
\(891\) | 57.3122 | + | 1098.49i | 0.0643234 | + | 1.23288i | ||||
\(892\) | −1201.26 | − | 725.606i | −1.34670 | − | 0.813460i | ||||
\(893\) | 404.397 | − | 605.222i | 0.452852 | − | 0.677741i | ||||
\(894\) | 70.6370 | − | 332.104i | 0.0790123 | − | 0.371481i | ||||
\(895\) | 419.363 | 0.468562 | ||||||||
\(896\) | −95.4381 | − | 1545.97i | −0.106516 | − | 1.72541i | ||||
\(897\) | −557.298 | + | 631.223i | −0.621291 | + | 0.703704i | ||||
\(898\) | −46.7809 | − | 82.9103i | −0.0520946 | − | 0.0923278i | ||||
\(899\) | 439.281 | − | 657.430i | 0.488633 | − | 0.731290i | ||||
\(900\) | 451.402 | − | 1013.14i | 0.501558 | − | 1.12571i | ||||
\(901\) | 120.285 | + | 23.9261i | 0.133501 | + | 0.0265550i | ||||
\(902\) | −21.0188 | − | 1.58660i | −0.0233024 | − | 0.00175898i | ||||
\(903\) | −262.338 | + | 128.286i | −0.290518 | + | 0.142066i | ||||
\(904\) | 201.019 | + | 213.319i | 0.222366 | + | 0.235972i | ||||
\(905\) | 360.888 | − | 149.485i | 0.398771 | − | 0.165177i | ||||
\(906\) | 1621.17 | + | 696.766i | 1.78937 | + | 0.769057i | ||||
\(907\) | −374.780 | − | 560.898i | −0.413209 | − | 0.618410i | 0.565234 | − | 0.824931i | \(-0.308786\pi\) |
−0.978442 | + | 0.206520i | \(0.933786\pi\) | |||||||
\(908\) | 1495.95 | − | 701.277i | 1.64752 | − | 0.772332i | ||||
\(909\) | 806.697 | − | 267.857i | 0.887456 | − | 0.294672i | ||||
\(910\) | 2078.85 | − | 252.792i | 2.28446 | − | 0.277794i | ||||
\(911\) | −679.415 | + | 679.415i | −0.745791 | + | 0.745791i | −0.973686 | − | 0.227895i | \(-0.926816\pi\) |
0.227895 | + | 0.973686i | \(0.426816\pi\) | |||||||
\(912\) | −529.811 | − | 387.876i | −0.580933 | − | 0.425302i | ||||
\(913\) | −939.051 | + | 939.051i | −1.02853 | + | 1.02853i | ||||
\(914\) | −901.565 | − | 706.074i | −0.986395 | − | 0.772510i | ||||
\(915\) | −1593.23 | − | 926.942i | −1.74124 | − | 1.01305i | ||||
\(916\) | −1030.92 | − | 940.817i | −1.12546 | − | 1.02709i | ||||
\(917\) | −356.304 | − | 533.246i | −0.388554 | − | 0.581512i | ||||
\(918\) | −222.268 | − | 403.291i | −0.242122 | − | 0.439315i | ||||
\(919\) | −1293.50 | + | 535.785i | −1.40751 | + | 0.583009i | −0.951689 | − | 0.307063i | \(-0.900654\pi\) |
−0.455820 | + | 0.890072i | \(0.650654\pi\) | |||||||
\(920\) | −240.269 | − | 1428.18i | −0.261162 | − | 1.55237i | ||||
\(921\) | 263.129 | + | 538.083i | 0.285699 | + | 0.584237i | ||||
\(922\) | −989.155 | − | 1150.68i | −1.07284 | − | 1.24803i | ||||
\(923\) | 382.463 | + | 76.0767i | 0.414370 | + | 0.0824232i | ||||
\(924\) | 174.419 | − | 1964.24i | 0.188765 | − | 2.12580i | ||||
\(925\) | 702.566 | − | 1051.46i | 0.759531 | − | 1.13672i | ||||
\(926\) | −1278.40 | − | 356.136i | −1.38056 | − | 0.384597i | ||||
\(927\) | 420.966 | − | 52.5706i | 0.454116 | − | 0.0567105i | ||||
\(928\) | 307.726 | + | 710.565i | 0.331602 | + | 0.765695i | ||||
\(929\) | 1009.61 | 1.08677 | 0.543385 | − | 0.839484i | \(-0.317143\pi\) | ||||
0.543385 | + | 0.839484i | \(0.317143\pi\) | |||||||
\(930\) | −797.534 | − | 1228.45i | −0.857563 | − | 1.32092i | ||||
\(931\) | 740.475 | − | 1108.20i | 0.795354 | − | 1.19033i | ||||
\(932\) | −1320.38 | − | 200.479i | −1.41671 | − | 0.215106i | ||||
\(933\) | −425.174 | − | 557.935i | −0.455706 | − | 0.598001i | ||||
\(934\) | −397.757 | + | 341.923i | −0.425864 | + | 0.366084i | ||||
\(935\) | −331.069 | + | 799.271i | −0.354085 | + | 0.854836i | ||||
\(936\) | −526.721 | − | 646.562i | −0.562737 | − | 0.690771i | ||||
\(937\) | 481.672 | − | 199.515i | 0.514057 | − | 0.212929i | −0.110547 | − | 0.993871i | \(-0.535260\pi\) |
0.624604 | + | 0.780941i | \(0.285260\pi\) | |||||||
\(938\) | 340.458 | − | 673.503i | 0.362962 | − | 0.718020i | ||||
\(939\) | 47.0014 | + | 6.34720i | 0.0500548 | + | 0.00675953i | ||||
\(940\) | 72.5858 | + | 1588.40i | 0.0772189 | + | 1.68978i | ||||
\(941\) | −597.933 | + | 118.936i | −0.635423 | + | 0.126394i | −0.502283 | − | 0.864704i | \(-0.667506\pi\) |
−0.133141 | + | 0.991097i | \(0.542506\pi\) | |||||||
\(942\) | −114.890 | + | 21.2777i | −0.121964 | + | 0.0225878i | ||||
\(943\) | −13.2983 | + | 13.2983i | −0.0141021 | + | 0.0141021i | ||||
\(944\) | 204.309 | − | 60.4529i | 0.216429 | − | 0.0640391i | ||||
\(945\) | −452.236 | − | 2398.56i | −0.478556 | − | 2.53816i | ||||
\(946\) | −26.3733 | − | 216.883i | −0.0278788 | − | 0.229263i | ||||
\(947\) | −0.204800 | − | 1.02960i | −0.000216262 | − | 0.00108722i | 0.980677 | − | 0.195634i | \(-0.0626764\pi\) |
−0.980893 | + | 0.194547i | \(0.937676\pi\) | |||||||
\(948\) | 709.246 | + | 1296.78i | 0.748150 | + | 1.36791i | ||||
\(949\) | 609.044 | + | 911.499i | 0.641775 | + | 0.960484i | ||||
\(950\) | 263.041 | + | 800.833i | 0.276885 | + | 0.842983i | ||||
\(951\) | 424.548 | + | 145.693i | 0.446422 | + | 0.153200i | ||||
\(952\) | 293.145 | + | 771.722i | 0.307925 | + | 0.810632i | ||||
\(953\) | 433.073 | + | 179.385i | 0.454431 | + | 0.188231i | 0.598145 | − | 0.801388i | \(-0.295905\pi\) |
−0.143714 | + | 0.989619i | \(0.545905\pi\) | |||||||
\(954\) | −12.6528 | − | 258.564i | −0.0132629 | − | 0.271031i | ||||
\(955\) | 1576.79 | + | 313.642i | 1.65109 | + | 0.328421i | ||||
\(956\) | −1312.28 | + | 323.941i | −1.37268 | + | 0.338851i | ||||
\(957\) | 251.979 | + | 953.087i | 0.263301 | + | 0.995911i | ||||
\(958\) | 540.156 | − | 304.775i | 0.563837 | − | 0.318137i | ||||
\(959\) | − | 1649.22i | − | 1.71973i | ||||||
\(960\) | 1434.35 | − | 3.96817i | 1.49411 | − | 0.00413351i | ||||
\(961\) | −106.692 | −0.111021 | ||||||||
\(962\) | −467.242 | − | 828.098i | −0.485699 | − | 0.860809i | ||||
\(963\) | 788.990 | + | 395.643i | 0.819305 | + | 0.410844i | ||||
\(964\) | 547.391 | − | 135.126i | 0.567833 | − | 0.140172i | ||||
\(965\) | 124.789 | − | 627.354i | 0.129315 | − | 0.650108i | ||||
\(966\) | −1227.54 | − | 1260.44i | −1.27074 | − | 1.30480i | ||||
\(967\) | −34.8367 | + | 84.1032i | −0.0360255 | + | 0.0869734i | −0.940868 | − | 0.338773i | \(-0.889988\pi\) |
0.904843 | + | 0.425746i | \(0.139988\pi\) | |||||||
\(968\) | 462.761 | + | 207.976i | 0.478059 | + | 0.214851i | ||||
\(969\) | 331.008 | + | 113.593i | 0.341598 | + | 0.117227i | ||||
\(970\) | −1242.97 | + | 408.266i | −1.28142 | + | 0.420892i | ||||
\(971\) | −281.112 | + | 187.833i | −0.289508 | + | 0.193443i | −0.691840 | − | 0.722051i | \(-0.743200\pi\) |
0.402332 | + | 0.915494i | \(0.368200\pi\) | |||||||
\(972\) | −711.891 | + | 661.813i | −0.732398 | + | 0.680877i | ||||
\(973\) | 260.190 | − | 51.7551i | 0.267410 | − | 0.0531912i | ||||
\(974\) | −258.440 | + | 31.4268i | −0.265339 | + | 0.0322657i | ||||
\(975\) | 66.4604 | + | 1068.51i | 0.0681645 | + | 1.09591i | ||||
\(976\) | 137.942 | − | 1308.67i | 0.141334 | − | 1.34085i | ||||
\(977\) | −465.872 | − | 465.872i | −0.476840 | − | 0.476840i | 0.427280 | − | 0.904119i | \(-0.359472\pi\) |
−0.904119 | + | 0.427280i | \(0.859472\pi\) | |||||||
\(978\) | −1533.57 | + | 284.019i | −1.56807 | + | 0.290408i | ||||
\(979\) | 364.807 | + | 1834.01i | 0.372632 | + | 1.87335i | ||||
\(980\) | 132.909 | + | 2908.45i | 0.135621 | + | 2.96781i | ||||
\(981\) | 751.119 | + | 868.085i | 0.765666 | + | 0.884898i | ||||
\(982\) | −930.557 | − | 470.400i | −0.947614 | − | 0.479023i | ||||
\(983\) | 169.698 | + | 409.687i | 0.172633 | + | 0.416772i | 0.986388 | − | 0.164436i | \(-0.0525803\pi\) |
−0.813755 | + | 0.581208i | \(0.802580\pi\) | |||||||
\(984\) | −10.8450 | − | 15.1432i | −0.0110213 | − | 0.0153894i | ||||
\(985\) | −714.792 | − | 296.077i | −0.725677 | − | 0.300585i | ||||
\(986\) | −269.028 | − | 312.959i | −0.272848 | − | 0.317403i | ||||
\(987\) | 1170.82 | + | 1536.42i | 1.18624 | + | 1.55665i | ||||
\(988\) | 626.601 | + | 95.1398i | 0.634212 | + | 0.0962954i | ||||
\(989\) | −162.079 | − | 108.298i | −0.163882 | − | 0.109502i | ||||
\(990\) | 1806.31 | + | 268.293i | 1.82455 | + | 0.271003i | ||||
\(991\) | − | 288.466i | − | 0.291086i | −0.989352 | − | 0.145543i | \(-0.953507\pi\) | ||
0.989352 | − | 0.145543i | \(-0.0464929\pi\) | |||||||
\(992\) | 566.939 | − | 878.576i | 0.571511 | − | 0.885662i | ||||
\(993\) | 172.959 | − | 195.901i | 0.174178 | − | 0.197282i | ||||
\(994\) | −218.662 | + | 784.917i | −0.219982 | + | 0.789655i | ||||
\(995\) | 1804.95 | + | 1206.03i | 1.81402 | + | 1.21209i | ||||
\(996\) | −1168.90 | − | 103.795i | −1.17360 | − | 0.104212i | ||||
\(997\) | 32.6694 | − | 164.240i | 0.0327677 | − | 0.164734i | −0.960937 | − | 0.276768i | \(-0.910737\pi\) |
0.993704 | + | 0.112034i | \(0.0357366\pi\) | |||||||
\(998\) | −1289.75 | + | 1108.70i | −1.29233 | + | 1.11092i | ||||
\(999\) | −927.553 | + | 606.453i | −0.928482 | + | 0.607060i |
(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 | 192.3.q.a.5.11 | ✓ | 496 | |
3.2 | odd | 2 | inner | 192.3.q.a.5.52 | yes | 496 | |
64.13 | even | 16 | inner | 192.3.q.a.77.52 | yes | 496 | |
192.77 | odd | 16 | inner | 192.3.q.a.77.11 | yes | 496 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.3.q.a.5.11 | ✓ | 496 | 1.1 | even | 1 | trivial | |
192.3.q.a.5.52 | yes | 496 | 3.2 | odd | 2 | inner | |
192.3.q.a.77.11 | yes | 496 | 192.77 | odd | 16 | inner | |
192.3.q.a.77.52 | yes | 496 | 64.13 | even | 16 | inner |