Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [22,4,Mod(3,22)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(22, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("22.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 22 = 2 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 22.c (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.29804202013\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + 71x^{6} - 141x^{5} + 2911x^{4} + 2710x^{3} + 75340x^{2} + 169400x + 5856400 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 5.2 | ||
Root | \(2.22300 + 6.84169i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 22.5 |
Dual form | 22.4.c.b.9.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/22\mathbb{Z}\right)^\times\).
\(n\) | \(13\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.618034 | − | 1.90211i | −0.218508 | − | 0.672499i | ||||
\(3\) | 6.31989 | + | 4.59167i | 1.21626 | + | 0.883667i | 0.995784 | − | 0.0917244i | \(-0.0292379\pi\) |
0.220479 | + | 0.975392i | \(0.429238\pi\) | |||||||
\(4\) | −3.23607 | + | 2.35114i | −0.404508 | + | 0.293893i | ||||
\(5\) | 4.60996 | − | 14.1880i | 0.412327 | − | 1.26901i | −0.502293 | − | 0.864698i | \(-0.667510\pi\) |
0.914620 | − | 0.404315i | \(-0.132490\pi\) | |||||||
\(6\) | 4.82797 | − | 14.8590i | 0.328502 | − | 1.01102i | ||||
\(7\) | −17.6106 | + | 12.7948i | −0.950881 | + | 0.690856i | −0.951015 | − | 0.309144i | \(-0.899957\pi\) |
0.000134039 | 1.00000i | \(0.499957\pi\) | ||||||||
\(8\) | 6.47214 | + | 4.70228i | 0.286031 | + | 0.207813i | ||||
\(9\) | 10.5141 | + | 32.3592i | 0.389412 | + | 1.19849i | ||||
\(10\) | −29.8363 | −0.943506 | ||||||||
\(11\) | −29.3767 | + | 21.6335i | −0.805219 | + | 0.592978i | ||||
\(12\) | −31.2473 | −0.751692 | ||||||||
\(13\) | −13.6056 | − | 41.8736i | −0.290270 | − | 0.893358i | −0.984769 | − | 0.173865i | \(-0.944374\pi\) |
0.694500 | − | 0.719493i | \(-0.255626\pi\) | |||||||
\(14\) | 35.2211 | + | 25.5896i | 0.672374 | + | 0.488509i | ||||
\(15\) | 94.2810 | − | 68.4992i | 1.62288 | − | 1.17909i | ||||
\(16\) | 4.94427 | − | 15.2169i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −7.69900 | + | 23.6951i | −0.109840 | + | 0.338053i | −0.990836 | − | 0.135071i | \(-0.956874\pi\) |
0.880996 | + | 0.473124i | \(0.156874\pi\) | |||||||
\(18\) | 55.0527 | − | 39.9982i | 0.720892 | − | 0.523759i | ||||
\(19\) | −17.7638 | − | 12.9061i | −0.214489 | − | 0.155835i | 0.475353 | − | 0.879795i | \(-0.342320\pi\) |
−0.689842 | + | 0.723960i | \(0.742320\pi\) | |||||||
\(20\) | 18.4398 | + | 56.7520i | 0.206164 | + | 0.634506i | ||||
\(21\) | −170.046 | −1.76701 | ||||||||
\(22\) | 59.3052 | + | 42.5075i | 0.574724 | + | 0.411938i | ||||
\(23\) | 177.749 | 1.61145 | 0.805723 | − | 0.592293i | \(-0.201777\pi\) | ||||
0.805723 | + | 0.592293i | \(0.201777\pi\) | |||||||
\(24\) | 19.3119 | + | 59.4358i | 0.164251 | + | 0.505512i | ||||
\(25\) | −78.9203 | − | 57.3389i | −0.631362 | − | 0.458711i | ||||
\(26\) | −71.2397 | + | 51.7587i | −0.537356 | + | 0.390412i | ||||
\(27\) | −16.9569 | + | 52.1881i | −0.120865 | + | 0.371985i | ||||
\(28\) | 26.9065 | − | 82.8098i | 0.181602 | − | 0.558914i | ||||
\(29\) | 120.864 | − | 87.8130i | 0.773928 | − | 0.562292i | −0.129223 | − | 0.991616i | \(-0.541248\pi\) |
0.903151 | + | 0.429324i | \(0.141248\pi\) | |||||||
\(30\) | −188.562 | − | 136.998i | −1.14755 | − | 0.833745i | ||||
\(31\) | 23.2207 | + | 71.4658i | 0.134534 | + | 0.414053i | 0.995517 | − | 0.0945803i | \(-0.0301509\pi\) |
−0.860983 | + | 0.508633i | \(0.830151\pi\) | |||||||
\(32\) | −32.0000 | −0.176777 | ||||||||
\(33\) | −284.992 | + | 1.83359i | −1.50335 | + | 0.00967232i | ||||
\(34\) | 49.8290 | 0.251341 | ||||||||
\(35\) | 100.349 | + | 308.842i | 0.484630 | + | 1.49154i | ||||
\(36\) | −110.105 | − | 79.9963i | −0.509748 | − | 0.370353i | ||||
\(37\) | −179.874 | + | 130.686i | −0.799219 | + | 0.580667i | −0.910685 | − | 0.413102i | \(-0.864445\pi\) |
0.111466 | + | 0.993768i | \(0.464445\pi\) | |||||||
\(38\) | −13.5703 | + | 41.7652i | −0.0579315 | + | 0.178295i | ||||
\(39\) | 106.284 | − | 327.109i | 0.436387 | − | 1.34306i | ||||
\(40\) | 96.5522 | − | 70.1493i | 0.381656 | − | 0.277289i | ||||
\(41\) | 204.779 | + | 148.781i | 0.780029 | + | 0.566724i | 0.904988 | − | 0.425438i | \(-0.139880\pi\) |
−0.124959 | + | 0.992162i | \(0.539880\pi\) | |||||||
\(42\) | 105.094 | + | 323.448i | 0.386106 | + | 1.18831i | ||||
\(43\) | 130.623 | 0.463253 | 0.231626 | − | 0.972805i | \(-0.425595\pi\) | ||||
0.231626 | + | 0.972805i | \(0.425595\pi\) | |||||||
\(44\) | 44.2015 | − | 139.076i | 0.151446 | − | 0.476512i | ||||
\(45\) | 507.582 | 1.68146 | ||||||||
\(46\) | −109.855 | − | 338.099i | −0.352114 | − | 1.08369i | ||||
\(47\) | −403.775 | − | 293.360i | −1.25312 | − | 0.910445i | −0.254722 | − | 0.967014i | \(-0.581984\pi\) |
−0.998399 | + | 0.0565693i | \(0.981984\pi\) | |||||||
\(48\) | 101.118 | − | 73.4667i | 0.304066 | − | 0.220917i | ||||
\(49\) | 40.4316 | − | 124.436i | 0.117876 | − | 0.362786i | ||||
\(50\) | −60.2897 | + | 185.553i | −0.170525 | + | 0.524822i | ||||
\(51\) | −157.457 | + | 114.399i | −0.432321 | + | 0.314100i | ||||
\(52\) | 142.479 | + | 103.517i | 0.379968 | + | 0.276063i | ||||
\(53\) | 3.99933 | + | 12.3087i | 0.0103651 | + | 0.0319005i | 0.956105 | − | 0.293023i | \(-0.0946613\pi\) |
−0.945740 | + | 0.324924i | \(0.894661\pi\) | |||||||
\(54\) | 109.748 | 0.276569 | ||||||||
\(55\) | 171.511 | + | 516.526i | 0.420483 | + | 1.26633i | ||||
\(56\) | −174.143 | −0.415550 | ||||||||
\(57\) | −53.0044 | − | 163.131i | −0.123169 | − | 0.379074i | ||||
\(58\) | −241.728 | − | 175.626i | −0.547250 | − | 0.397600i | ||||
\(59\) | −28.7697 | + | 20.9024i | −0.0634831 | + | 0.0461232i | −0.619074 | − | 0.785332i | \(-0.712492\pi\) |
0.555591 | + | 0.831456i | \(0.312492\pi\) | |||||||
\(60\) | −144.049 | + | 443.336i | −0.309943 | + | 0.953907i | ||||
\(61\) | 166.357 | − | 511.995i | 0.349178 | − | 1.07466i | −0.610131 | − | 0.792301i | \(-0.708883\pi\) |
0.959309 | − | 0.282359i | \(-0.0911169\pi\) | |||||||
\(62\) | 121.585 | − | 88.3366i | 0.249053 | − | 0.180948i | ||||
\(63\) | −599.190 | − | 435.337i | −1.19827 | − | 0.870592i | ||||
\(64\) | 19.7771 | + | 60.8676i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −656.824 | −1.25337 | ||||||||
\(66\) | 179.622 | + | 540.953i | 0.334999 | + | 1.00889i | ||||
\(67\) | −519.621 | −0.947491 | −0.473745 | − | 0.880662i | \(-0.657098\pi\) | ||||
−0.473745 | + | 0.880662i | \(0.657098\pi\) | |||||||
\(68\) | −30.7960 | − | 94.7804i | −0.0549201 | − | 0.169027i | ||||
\(69\) | 1123.35 | + | 816.165i | 1.95994 | + | 1.42398i | ||||
\(70\) | 525.434 | − | 381.750i | 0.897162 | − | 0.651826i | ||||
\(71\) | 24.2420 | − | 74.6091i | 0.0405210 | − | 0.124711i | −0.928750 | − | 0.370708i | \(-0.879115\pi\) |
0.969271 | + | 0.245997i | \(0.0791152\pi\) | |||||||
\(72\) | −84.1131 | + | 258.873i | −0.137678 | + | 0.423730i | ||||
\(73\) | −925.571 | + | 672.467i | −1.48397 | + | 1.07817i | −0.507722 | + | 0.861521i | \(0.669512\pi\) |
−0.976250 | + | 0.216648i | \(0.930488\pi\) | |||||||
\(74\) | 359.748 | + | 261.372i | 0.565133 | + | 0.410593i | ||||
\(75\) | −235.486 | − | 724.752i | −0.362555 | − | 1.11583i | ||||
\(76\) | 87.8290 | 0.132562 | ||||||||
\(77\) | 240.543 | − | 756.848i | 0.356005 | − | 1.12014i | ||||
\(78\) | −687.886 | −0.998561 | ||||||||
\(79\) | 238.730 | + | 734.735i | 0.339990 | + | 1.04638i | 0.964212 | + | 0.265134i | \(0.0854161\pi\) |
−0.624222 | + | 0.781247i | \(0.714584\pi\) | |||||||
\(80\) | −193.104 | − | 140.299i | −0.269872 | − | 0.196073i | ||||
\(81\) | 396.416 | − | 288.013i | 0.543780 | − | 0.395079i | ||||
\(82\) | 156.438 | − | 481.465i | 0.210678 | − | 0.648402i | ||||
\(83\) | 166.017 | − | 510.947i | 0.219551 | − | 0.675708i | −0.779248 | − | 0.626715i | \(-0.784399\pi\) |
0.998799 | − | 0.0489926i | \(-0.0156011\pi\) | |||||||
\(84\) | 550.282 | − | 399.803i | 0.714770 | − | 0.519311i | ||||
\(85\) | 300.694 | + | 218.467i | 0.383704 | + | 0.278777i | ||||
\(86\) | −80.7296 | − | 248.460i | −0.101224 | − | 0.311537i | ||||
\(87\) | 1167.06 | 1.43818 | ||||||||
\(88\) | −291.857 | + | 1.87776i | −0.353546 | + | 0.00227466i | ||||
\(89\) | 667.089 | 0.794509 | 0.397255 | − | 0.917708i | \(-0.369963\pi\) | ||||
0.397255 | + | 0.917708i | \(0.369963\pi\) | |||||||
\(90\) | −313.703 | − | 965.477i | −0.367413 | − | 1.13078i | ||||
\(91\) | 775.368 | + | 563.338i | 0.893194 | + | 0.648943i | ||||
\(92\) | −575.208 | + | 417.913i | −0.651843 | + | 0.473592i | ||||
\(93\) | −181.395 | + | 558.278i | −0.202256 | + | 0.622481i | ||||
\(94\) | −308.457 | + | 949.332i | −0.338456 | + | 1.04166i | ||||
\(95\) | −265.003 | + | 192.536i | −0.286197 | + | 0.207934i | ||||
\(96\) | −202.237 | − | 146.933i | −0.215007 | − | 0.156212i | ||||
\(97\) | −55.5161 | − | 170.861i | −0.0581114 | − | 0.178848i | 0.917787 | − | 0.397072i | \(-0.129974\pi\) |
−0.975899 | + | 0.218224i | \(0.929974\pi\) | |||||||
\(98\) | −261.679 | −0.269730 | ||||||||
\(99\) | −1008.91 | − | 723.148i | −1.02424 | − | 0.734132i | ||||
\(100\) | 390.203 | 0.390203 | ||||||||
\(101\) | −126.924 | − | 390.633i | −0.125044 | − | 0.384846i | 0.868865 | − | 0.495049i | \(-0.164850\pi\) |
−0.993909 | + | 0.110203i | \(0.964850\pi\) | |||||||
\(102\) | 314.914 | + | 228.798i | 0.305697 | + | 0.222102i | ||||
\(103\) | −1106.46 | + | 803.890i | −1.05847 | + | 0.769026i | −0.973805 | − | 0.227383i | \(-0.926983\pi\) |
−0.0846679 | + | 0.996409i | \(0.526983\pi\) | |||||||
\(104\) | 108.845 | − | 334.989i | 0.102626 | − | 0.315850i | ||||
\(105\) | −783.907 | + | 2412.62i | −0.728586 | + | 2.24236i | ||||
\(106\) | 20.9408 | − | 15.2144i | 0.0191882 | − | 0.0139410i | ||||
\(107\) | 319.756 | + | 232.317i | 0.288897 | + | 0.209896i | 0.722789 | − | 0.691069i | \(-0.242860\pi\) |
−0.433892 | + | 0.900965i | \(0.642860\pi\) | |||||||
\(108\) | −67.8277 | − | 208.752i | −0.0604326 | − | 0.185993i | ||||
\(109\) | 505.826 | 0.444490 | 0.222245 | − | 0.974991i | \(-0.428662\pi\) | ||||
0.222245 | + | 0.974991i | \(0.428662\pi\) | |||||||
\(110\) | 876.491 | − | 645.464i | 0.759728 | − | 0.559478i | ||||
\(111\) | −1736.85 | −1.48518 | ||||||||
\(112\) | 107.626 | + | 331.239i | 0.0908011 | + | 0.279457i | ||||
\(113\) | −1243.96 | − | 903.793i | −1.03560 | − | 0.752404i | −0.0661744 | − | 0.997808i | \(-0.521079\pi\) |
−0.969421 | + | 0.245404i | \(0.921079\pi\) | |||||||
\(114\) | −277.535 | + | 201.641i | −0.228013 | + | 0.165661i | ||||
\(115\) | 819.416 | − | 2521.90i | 0.664443 | − | 2.04494i | ||||
\(116\) | −184.664 | + | 568.337i | −0.147807 | + | 0.454903i | ||||
\(117\) | 1211.95 | − | 880.530i | 0.957645 | − | 0.695770i | ||||
\(118\) | 57.5395 | + | 41.8049i | 0.0448893 | + | 0.0326140i | ||||
\(119\) | −167.591 | − | 515.791i | −0.129101 | − | 0.397332i | ||||
\(120\) | 932.302 | 0.709226 | ||||||||
\(121\) | 394.980 | − | 1271.04i | 0.296754 | − | 0.954954i | ||||
\(122\) | −1076.69 | −0.799005 | ||||||||
\(123\) | 611.031 | + | 1880.56i | 0.447925 | + | 1.37857i | ||||
\(124\) | −243.170 | − | 176.673i | −0.176107 | − | 0.127949i | ||||
\(125\) | 331.285 | − | 240.693i | 0.237048 | − | 0.172226i | ||||
\(126\) | −457.740 | + | 1408.78i | −0.323641 | + | 0.996064i | ||||
\(127\) | −215.487 | + | 663.202i | −0.150562 | + | 0.463383i | −0.997684 | − | 0.0680154i | \(-0.978333\pi\) |
0.847122 | + | 0.531399i | \(0.178333\pi\) | |||||||
\(128\) | 103.554 | − | 75.2365i | 0.0715077 | − | 0.0519534i | ||||
\(129\) | 825.525 | + | 599.779i | 0.563437 | + | 0.409361i | ||||
\(130\) | 405.940 | + | 1249.35i | 0.273871 | + | 0.842889i | ||||
\(131\) | −259.910 | −0.173347 | −0.0866735 | − | 0.996237i | \(-0.527624\pi\) | ||||
−0.0866735 | + | 0.996237i | \(0.527624\pi\) | |||||||
\(132\) | 917.941 | − | 675.989i | 0.605277 | − | 0.445737i | ||||
\(133\) | 477.962 | 0.311613 | ||||||||
\(134\) | 321.144 | + | 988.379i | 0.207034 | + | 0.637186i | ||||
\(135\) | 662.273 | + | 481.170i | 0.422218 | + | 0.306759i | ||||
\(136\) | −161.250 | + | 117.155i | −0.101670 | + | 0.0738673i | ||||
\(137\) | −643.856 | + | 1981.58i | −0.401520 | + | 1.23575i | 0.522245 | + | 0.852795i | \(0.325094\pi\) |
−0.923766 | + | 0.382958i | \(0.874906\pi\) | |||||||
\(138\) | 858.167 | − | 2641.17i | 0.529362 | − | 1.62921i | ||||
\(139\) | −140.307 | + | 101.939i | −0.0856163 | + | 0.0622039i | −0.629770 | − | 0.776782i | \(-0.716851\pi\) |
0.544154 | + | 0.838986i | \(0.316851\pi\) | |||||||
\(140\) | −1050.87 | − | 763.500i | −0.634389 | − | 0.460911i | ||||
\(141\) | −1204.80 | − | 3708.00i | −0.719594 | − | 2.21468i | ||||
\(142\) | −156.897 | −0.0927220 | ||||||||
\(143\) | 1305.56 | + | 935.772i | 0.763473 | + | 0.547225i | ||||
\(144\) | 544.391 | 0.315041 | ||||||||
\(145\) | −688.711 | − | 2119.63i | −0.394444 | − | 1.21397i | ||||
\(146\) | 1851.14 | + | 1344.93i | 1.04933 | + | 0.762380i | ||||
\(147\) | 826.891 | − | 600.772i | 0.463951 | − | 0.337080i | ||||
\(148\) | 274.823 | − | 845.818i | 0.152637 | − | 0.469769i | ||||
\(149\) | −138.766 | + | 427.077i | −0.0762961 | + | 0.234815i | −0.981930 | − | 0.189246i | \(-0.939396\pi\) |
0.905634 | + | 0.424061i | \(0.139396\pi\) | |||||||
\(150\) | −1233.02 | + | 895.842i | −0.671172 | + | 0.487635i | ||||
\(151\) | −23.0859 | − | 16.7729i | −0.0124418 | − | 0.00903947i | 0.581547 | − | 0.813513i | \(-0.302448\pi\) |
−0.593989 | + | 0.804473i | \(0.702448\pi\) | |||||||
\(152\) | −54.2813 | − | 167.061i | −0.0289658 | − | 0.0891474i | ||||
\(153\) | −847.702 | −0.447926 | ||||||||
\(154\) | −1588.27 | + | 10.2187i | −0.831083 | + | 0.00534705i | ||||
\(155\) | 1121.00 | 0.580910 | ||||||||
\(156\) | 425.137 | + | 1308.44i | 0.218194 | + | 0.671531i | ||||
\(157\) | −1394.63 | − | 1013.26i | −0.708941 | − | 0.515076i | 0.173891 | − | 0.984765i | \(-0.444366\pi\) |
−0.882832 | + | 0.469689i | \(0.844366\pi\) | |||||||
\(158\) | 1250.01 | − | 908.182i | 0.629399 | − | 0.457285i | ||||
\(159\) | −31.2420 | + | 96.1531i | −0.0155827 | + | 0.0479587i | ||||
\(160\) | −147.519 | + | 454.016i | −0.0728898 | + | 0.224332i | ||||
\(161\) | −3130.26 | + | 2274.27i | −1.53229 | + | 1.11328i | ||||
\(162\) | −792.831 | − | 576.026i | −0.384510 | − | 0.279363i | ||||
\(163\) | 1025.39 | + | 3155.82i | 0.492727 | + | 1.51646i | 0.820470 | + | 0.571690i | \(0.193712\pi\) |
−0.327743 | + | 0.944767i | \(0.606288\pi\) | |||||||
\(164\) | −1012.49 | −0.482084 | ||||||||
\(165\) | −1287.78 | + | 4051.91i | −0.607599 | + | 1.91176i | ||||
\(166\) | −1074.48 | −0.502386 | ||||||||
\(167\) | −931.871 | − | 2868.00i | −0.431799 | − | 1.32894i | −0.896332 | − | 0.443384i | \(-0.853778\pi\) |
0.464533 | − | 0.885556i | \(-0.346222\pi\) | |||||||
\(168\) | −1100.56 | − | 799.606i | −0.505419 | − | 0.367208i | ||||
\(169\) | 209.120 | − | 151.934i | 0.0951842 | − | 0.0691554i | ||||
\(170\) | 229.710 | − | 706.973i | 0.103635 | − | 0.318955i | ||||
\(171\) | 230.862 | − | 710.519i | 0.103242 | − | 0.317747i | ||||
\(172\) | −422.706 | + | 307.114i | −0.187390 | + | 0.136147i | ||||
\(173\) | 1787.45 | + | 1298.66i | 0.785534 | + | 0.570724i | 0.906635 | − | 0.421917i | \(-0.138643\pi\) |
−0.121101 | + | 0.992640i | \(0.538643\pi\) | |||||||
\(174\) | −721.281 | − | 2219.87i | −0.314254 | − | 0.967173i | ||||
\(175\) | 2123.47 | 0.917254 | ||||||||
\(176\) | 183.949 | + | 553.984i | 0.0787824 | + | 0.237262i | ||||
\(177\) | −277.799 | −0.117970 | ||||||||
\(178\) | −412.284 | − | 1268.88i | −0.173607 | − | 0.534306i | ||||
\(179\) | 1837.95 | + | 1335.35i | 0.767457 | + | 0.557590i | 0.901189 | − | 0.433427i | \(-0.142696\pi\) |
−0.133731 | + | 0.991018i | \(0.542696\pi\) | |||||||
\(180\) | −1642.57 | + | 1193.40i | −0.680166 | + | 0.494169i | ||||
\(181\) | −192.961 | + | 593.873i | −0.0792413 | + | 0.243880i | −0.982828 | − | 0.184527i | \(-0.940925\pi\) |
0.903586 | + | 0.428406i | \(0.140925\pi\) | |||||||
\(182\) | 592.328 | − | 1823.00i | 0.241243 | − | 0.742471i | ||||
\(183\) | 3402.27 | − | 2471.89i | 1.37433 | − | 0.998512i | ||||
\(184\) | 1150.42 | + | 835.826i | 0.460923 | + | 0.334880i | ||||
\(185\) | 1024.96 | + | 3154.51i | 0.407333 | + | 1.25364i | ||||
\(186\) | 1174.02 | 0.462812 | ||||||||
\(187\) | −286.438 | − | 862.640i | −0.112013 | − | 0.337340i | ||||
\(188\) | 1996.37 | 0.774471 | ||||||||
\(189\) | −369.116 | − | 1136.02i | −0.142059 | − | 0.437214i | ||||
\(190\) | 530.005 | + | 385.071i | 0.202372 | + | 0.147032i | ||||
\(191\) | 1087.48 | − | 790.100i | 0.411975 | − | 0.299317i | −0.362426 | − | 0.932013i | \(-0.618051\pi\) |
0.774401 | + | 0.632695i | \(0.218051\pi\) | |||||||
\(192\) | −154.495 | + | 475.487i | −0.0580714 | + | 0.178725i | ||||
\(193\) | 1428.82 | − | 4397.46i | 0.532895 | − | 1.64008i | −0.215258 | − | 0.976557i | \(-0.569059\pi\) |
0.748154 | − | 0.663526i | \(-0.230941\pi\) | |||||||
\(194\) | −290.686 | + | 211.196i | −0.107578 | + | 0.0781597i | ||||
\(195\) | −4151.06 | − | 3015.92i | −1.52443 | − | 1.10756i | ||||
\(196\) | 161.726 | + | 497.743i | 0.0589382 | + | 0.181393i | ||||
\(197\) | 664.691 | 0.240392 | 0.120196 | − | 0.992750i | \(-0.461648\pi\) | ||||
0.120196 | + | 0.992750i | \(0.461648\pi\) | |||||||
\(198\) | −751.965 | + | 2366.00i | −0.269898 | + | 0.849213i | ||||
\(199\) | −3042.82 | −1.08392 | −0.541959 | − | 0.840405i | \(-0.682317\pi\) | ||||
−0.541959 | + | 0.840405i | \(0.682317\pi\) | |||||||
\(200\) | −241.159 | − | 742.211i | −0.0852625 | − | 0.262411i | ||||
\(201\) | −3283.95 | − | 2385.93i | −1.15240 | − | 0.837266i | ||||
\(202\) | −664.584 | + | 482.849i | −0.231485 | + | 0.168184i | ||||
\(203\) | −1004.93 | + | 3092.87i | −0.347451 | + | 1.06934i | ||||
\(204\) | 240.573 | − | 740.407i | 0.0825660 | − | 0.254112i | ||||
\(205\) | 3054.93 | − | 2219.53i | 1.04081 | − | 0.756190i | ||||
\(206\) | 2212.92 | + | 1607.78i | 0.748454 | + | 0.543783i | ||||
\(207\) | 1868.88 | + | 5751.81i | 0.627517 | + | 1.93130i | ||||
\(208\) | −704.457 | −0.234833 | ||||||||
\(209\) | 801.047 | − | 5.15380i | 0.265118 | − | 0.00170572i | ||||
\(210\) | 5073.55 | 1.66718 | ||||||||
\(211\) | 800.851 | + | 2464.77i | 0.261293 | + | 0.804178i | 0.992524 | + | 0.122048i | \(0.0389462\pi\) |
−0.731231 | + | 0.682130i | \(0.761054\pi\) | |||||||
\(212\) | −41.8815 | − | 30.4287i | −0.0135681 | − | 0.00985779i | ||||
\(213\) | 495.787 | − | 360.210i | 0.159487 | − | 0.115874i | ||||
\(214\) | 244.272 | − | 751.792i | 0.0780285 | − | 0.240147i | ||||
\(215\) | 602.168 | − | 1853.28i | 0.191012 | − | 0.587873i | ||||
\(216\) | −355.151 | + | 258.032i | −0.111875 | + | 0.0812817i | ||||
\(217\) | −1323.32 | − | 961.449i | −0.413977 | − | 0.300772i | ||||
\(218\) | −312.618 | − | 962.139i | −0.0971245 | − | 0.298919i | ||||
\(219\) | −8937.26 | −2.75764 | ||||||||
\(220\) | −1769.45 | − | 1268.27i | −0.542255 | − | 0.388666i | ||||
\(221\) | 1096.95 | 0.333886 | ||||||||
\(222\) | 1073.43 | + | 3303.69i | 0.324523 | + | 0.998779i | ||||
\(223\) | −2133.54 | − | 1550.11i | −0.640684 | − | 0.465484i | 0.219401 | − | 0.975635i | \(-0.429590\pi\) |
−0.860085 | + | 0.510150i | \(0.829590\pi\) | |||||||
\(224\) | 563.538 | − | 409.434i | 0.168094 | − | 0.122127i | ||||
\(225\) | 1025.66 | − | 3156.66i | 0.303900 | − | 0.935308i | ||||
\(226\) | −950.304 | + | 2924.73i | −0.279705 | + | 0.860843i | ||||
\(227\) | −202.796 | + | 147.340i | −0.0592954 | + | 0.0430806i | −0.617038 | − | 0.786933i | \(-0.711668\pi\) |
0.557743 | + | 0.830014i | \(0.311668\pi\) | |||||||
\(228\) | 555.070 | + | 403.282i | 0.161230 | + | 0.117140i | ||||
\(229\) | 556.018 | + | 1711.25i | 0.160449 | + | 0.493810i | 0.998672 | − | 0.0515169i | \(-0.0164056\pi\) |
−0.838224 | + | 0.545327i | \(0.816406\pi\) | |||||||
\(230\) | −5303.37 | −1.52041 | ||||||||
\(231\) | 4995.40 | − | 3678.71i | 1.42283 | − | 1.04780i | ||||
\(232\) | 1195.17 | 0.338219 | ||||||||
\(233\) | 982.821 | + | 3024.81i | 0.276338 | + | 0.850481i | 0.988862 | + | 0.148833i | \(0.0475518\pi\) |
−0.712524 | + | 0.701647i | \(0.752448\pi\) | |||||||
\(234\) | −2423.89 | − | 1761.06i | −0.677157 | − | 0.491984i | ||||
\(235\) | −6023.57 | + | 4376.38i | −1.67206 | + | 1.21482i | ||||
\(236\) | 43.9563 | − | 135.283i | 0.0121242 | − | 0.0373144i | ||||
\(237\) | −1864.91 | + | 5739.61i | −0.511135 | + | 1.57311i | ||||
\(238\) | −877.517 | + | 637.553i | −0.238996 | + | 0.173641i | ||||
\(239\) | −4056.25 | − | 2947.04i | −1.09781 | − | 0.797608i | −0.117111 | − | 0.993119i | \(-0.537363\pi\) |
−0.980701 | + | 0.195511i | \(0.937363\pi\) | |||||||
\(240\) | −576.194 | − | 1773.34i | −0.154972 | − | 0.476953i | ||||
\(241\) | 6074.13 | 1.62352 | 0.811761 | − | 0.583990i | \(-0.198509\pi\) | ||||
0.811761 | + | 0.583990i | \(0.198509\pi\) | |||||||
\(242\) | −2661.78 | + | 34.2523i | −0.707048 | + | 0.00909843i | ||||
\(243\) | 5309.35 | 1.40163 | ||||||||
\(244\) | 665.429 | + | 2047.98i | 0.174589 | + | 0.537330i | ||||
\(245\) | −1579.10 | − | 1147.29i | −0.411777 | − | 0.299173i | ||||
\(246\) | 3199.40 | − | 2324.50i | 0.829212 | − | 0.602458i | ||||
\(247\) | −298.741 | + | 919.430i | −0.0769572 | + | 0.236850i | ||||
\(248\) | −185.765 | + | 571.727i | −0.0475649 | + | 0.146390i | ||||
\(249\) | 3395.31 | − | 2466.84i | 0.864132 | − | 0.627829i | ||||
\(250\) | −662.570 | − | 481.385i | −0.167618 | − | 0.121782i | ||||
\(251\) | −1721.13 | − | 5297.09i | −0.432816 | − | 1.33207i | −0.895309 | − | 0.445447i | \(-0.853045\pi\) |
0.462493 | − | 0.886623i | \(-0.346955\pi\) | |||||||
\(252\) | 2962.56 | 0.740570 | ||||||||
\(253\) | −5221.68 | + | 3845.34i | −1.29757 | + | 0.955552i | ||||
\(254\) | 1394.66 | 0.344524 | ||||||||
\(255\) | 897.224 | + | 2761.37i | 0.220339 | + | 0.678133i | ||||
\(256\) | −207.108 | − | 150.473i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 4778.90 | − | 3472.08i | 1.15992 | − | 0.842732i | 0.170153 | − | 0.985418i | \(-0.445574\pi\) |
0.989768 | + | 0.142685i | \(0.0455737\pi\) | |||||||
\(258\) | 630.645 | − | 1940.93i | 0.152179 | − | 0.468359i | ||||
\(259\) | 1495.58 | − | 4602.91i | 0.358805 | − | 1.10429i | ||||
\(260\) | 2125.53 | − | 1544.29i | 0.506998 | − | 0.368356i | ||||
\(261\) | 4112.34 | + | 2987.79i | 0.975277 | + | 0.708580i | ||||
\(262\) | 160.633 | + | 494.379i | 0.0378777 | + | 0.116576i | ||||
\(263\) | −6853.74 | −1.60692 | −0.803459 | − | 0.595360i | \(-0.797009\pi\) | ||||
−0.803459 | + | 0.595360i | \(0.797009\pi\) | |||||||
\(264\) | −1853.13 | − | 1328.24i | −0.432015 | − | 0.309651i | ||||
\(265\) | 193.072 | 0.0447559 | ||||||||
\(266\) | −295.397 | − | 909.138i | −0.0680900 | − | 0.209560i | ||||
\(267\) | 4215.93 | + | 3063.05i | 0.966333 | + | 0.702082i | ||||
\(268\) | 1681.53 | − | 1221.70i | 0.383268 | − | 0.278460i | ||||
\(269\) | 340.340 | − | 1047.46i | 0.0771409 | − | 0.237415i | −0.905049 | − | 0.425308i | \(-0.860166\pi\) |
0.982190 | + | 0.187893i | \(0.0601657\pi\) | |||||||
\(270\) | 505.932 | − | 1557.10i | 0.114037 | − | 0.350970i | ||||
\(271\) | 2080.54 | − | 1511.60i | 0.466362 | − | 0.338832i | −0.329660 | − | 0.944100i | \(-0.606934\pi\) |
0.796022 | + | 0.605268i | \(0.206934\pi\) | |||||||
\(272\) | 322.500 | + | 234.310i | 0.0718913 | + | 0.0522321i | ||||
\(273\) | 2313.58 | + | 7120.46i | 0.512909 | + | 1.57857i | ||||
\(274\) | 4167.12 | 0.918777 | ||||||||
\(275\) | 3558.86 | − | 22.8971i | 0.780390 | − | 0.00502090i | ||||
\(276\) | −5554.17 | −1.21131 | ||||||||
\(277\) | −2268.22 | − | 6980.85i | −0.492000 | − | 1.51422i | −0.821581 | − | 0.570092i | \(-0.806908\pi\) |
0.329581 | − | 0.944127i | \(-0.393092\pi\) | |||||||
\(278\) | 280.613 | + | 203.878i | 0.0605398 | + | 0.0439848i | ||||
\(279\) | −2068.43 | + | 1502.80i | −0.443848 | + | 0.322475i | ||||
\(280\) | −802.791 | + | 2470.74i | −0.171343 | + | 0.527338i | ||||
\(281\) | −2315.45 | + | 7126.21i | −0.491559 | + | 1.51286i | 0.330693 | + | 0.943738i | \(0.392718\pi\) |
−0.822252 | + | 0.569124i | \(0.807282\pi\) | |||||||
\(282\) | −6308.43 | + | 4583.34i | −1.33213 | + | 0.967852i | ||||
\(283\) | 5253.84 | + | 3817.14i | 1.10356 | + | 0.801785i | 0.981638 | − | 0.190754i | \(-0.0610933\pi\) |
0.121925 | + | 0.992539i | \(0.461093\pi\) | |||||||
\(284\) | 96.9678 | + | 298.436i | 0.0202605 | + | 0.0623554i | ||||
\(285\) | −2558.85 | −0.531835 | ||||||||
\(286\) | 973.063 | − | 3061.67i | 0.201183 | − | 0.633007i | ||||
\(287\) | −5509.91 | −1.13324 | ||||||||
\(288\) | −336.452 | − | 1035.49i | −0.0688390 | − | 0.211865i | ||||
\(289\) | 3472.52 | + | 2522.93i | 0.706802 | + | 0.513522i | ||||
\(290\) | −3606.14 | + | 2620.01i | −0.730206 | + | 0.530525i | ||||
\(291\) | 433.681 | − | 1334.73i | 0.0873638 | − | 0.268878i | ||||
\(292\) | 1414.15 | − | 4352.30i | 0.283413 | − | 0.872257i | ||||
\(293\) | 2172.11 | − | 1578.13i | 0.433092 | − | 0.314660i | −0.349792 | − | 0.936827i | \(-0.613748\pi\) |
0.782884 | + | 0.622168i | \(0.213748\pi\) | |||||||
\(294\) | −1653.78 | − | 1201.54i | −0.328063 | − | 0.238352i | ||||
\(295\) | 163.936 | + | 504.544i | 0.0323551 | + | 0.0995787i | ||||
\(296\) | −1778.69 | −0.349271 | ||||||||
\(297\) | −630.874 | − | 1899.95i | −0.123256 | − | 0.371200i | ||||
\(298\) | 898.110 | 0.174584 | ||||||||
\(299\) | −2418.38 | − | 7443.00i | −0.467754 | − | 1.43960i | ||||
\(300\) | 2466.04 | + | 1791.68i | 0.474590 | + | 0.344810i | ||||
\(301\) | −2300.35 | + | 1671.30i | −0.440498 | + | 0.320041i | ||||
\(302\) | −17.6361 | + | 54.2783i | −0.00336041 | + | 0.0103423i | ||||
\(303\) | 991.509 | − | 3051.55i | 0.187989 | − | 0.578571i | ||||
\(304\) | −284.221 | + | 206.498i | −0.0536223 | + | 0.0389589i | ||||
\(305\) | −6497.28 | − | 4720.55i | −1.21978 | − | 0.886223i | ||||
\(306\) | 523.909 | + | 1612.43i | 0.0978754 | + | 0.301230i | ||||
\(307\) | 8331.66 | 1.54890 | 0.774451 | − | 0.632633i | \(-0.218026\pi\) | ||||
0.774451 | + | 0.632633i | \(0.218026\pi\) | |||||||
\(308\) | 1001.04 | + | 3014.76i | 0.185194 | + | 0.557734i | ||||
\(309\) | −10683.9 | −1.96695 | ||||||||
\(310\) | −692.818 | − | 2132.27i | −0.126934 | − | 0.390661i | ||||
\(311\) | 4061.55 | + | 2950.89i | 0.740545 | + | 0.538037i | 0.892882 | − | 0.450292i | \(-0.148680\pi\) |
−0.152337 | + | 0.988329i | \(0.548680\pi\) | |||||||
\(312\) | 2226.05 | − | 1617.32i | 0.403926 | − | 0.293470i | ||||
\(313\) | 933.873 | − | 2874.16i | 0.168644 | − | 0.519033i | −0.830642 | − | 0.556807i | \(-0.812026\pi\) |
0.999286 | + | 0.0377733i | \(0.0120265\pi\) | |||||||
\(314\) | −1065.40 | + | 3278.98i | −0.191479 | + | 0.589310i | ||||
\(315\) | −8938.80 | + | 6494.42i | −1.59887 | + | 1.16165i | ||||
\(316\) | −2500.01 | − | 1816.36i | −0.445052 | − | 0.323350i | ||||
\(317\) | −3257.08 | − | 10024.3i | −0.577085 | − | 1.77609i | −0.628966 | − | 0.777433i | \(-0.716522\pi\) |
0.0518809 | − | 0.998653i | \(-0.483478\pi\) | |||||||
\(318\) | 202.203 | 0.0356571 | ||||||||
\(319\) | −1650.88 | + | 5194.37i | −0.289755 | + | 0.911690i | ||||
\(320\) | 954.761 | 0.166790 | ||||||||
\(321\) | 954.104 | + | 2936.43i | 0.165897 | + | 0.510578i | ||||
\(322\) | 6260.52 | + | 4548.54i | 1.08349 | + | 0.787205i | ||||
\(323\) | 442.576 | − | 321.550i | 0.0762402 | − | 0.0553917i | ||||
\(324\) | −605.669 | + | 1864.06i | −0.103853 | + | 0.319626i | ||||
\(325\) | −1327.23 | + | 4084.81i | −0.226528 | + | 0.697183i | ||||
\(326\) | 5368.99 | − | 3900.80i | 0.912150 | − | 0.662716i | ||||
\(327\) | 3196.77 | + | 2322.59i | 0.540617 | + | 0.392781i | ||||
\(328\) | 625.750 | + | 1925.86i | 0.105339 | + | 0.324201i | ||||
\(329\) | 10864.2 | 1.82055 | ||||||||
\(330\) | 8503.09 | − | 54.7074i | 1.41842 | − | 0.00912589i | ||||
\(331\) | 309.871 | 0.0514563 | 0.0257281 | − | 0.999669i | \(-0.491810\pi\) | ||||
0.0257281 | + | 0.999669i | \(0.491810\pi\) | |||||||
\(332\) | 664.067 | + | 2043.79i | 0.109775 | + | 0.337854i | ||||
\(333\) | −6120.11 | − | 4446.52i | −1.00715 | − | 0.731736i | ||||
\(334\) | −4879.34 | + | 3545.05i | −0.799358 | + | 0.580768i | ||||
\(335\) | −2395.43 | + | 7372.39i | −0.390676 | + | 1.20238i | ||||
\(336\) | −840.756 | + | 2587.58i | −0.136509 | + | 0.420131i | ||||
\(337\) | −9032.40 | + | 6562.42i | −1.46002 | + | 1.06076i | −0.476659 | + | 0.879088i | \(0.658152\pi\) |
−0.983358 | + | 0.181677i | \(0.941848\pi\) | |||||||
\(338\) | −418.239 | − | 303.869i | −0.0673054 | − | 0.0489002i | ||||
\(339\) | −3711.80 | − | 11423.7i | −0.594682 | − | 1.83024i | ||||
\(340\) | −1486.71 | −0.237142 | ||||||||
\(341\) | −2228.20 | − | 1597.08i | −0.353854 | − | 0.253627i | ||||
\(342\) | −1494.17 | −0.236244 | ||||||||
\(343\) | −1427.13 | − | 4392.25i | −0.224658 | − | 0.691425i | ||||
\(344\) | 845.412 | + | 614.227i | 0.132504 | + | 0.0962701i | ||||
\(345\) | 16758.4 | − | 12175.7i | 2.61519 | − | 1.90005i | ||||
\(346\) | 1365.49 | − | 4202.55i | 0.212165 | − | 0.652978i | ||||
\(347\) | 777.327 | − | 2392.37i | 0.120257 | − | 0.370112i | −0.872750 | − | 0.488167i | \(-0.837666\pi\) |
0.993007 | + | 0.118055i | \(0.0376658\pi\) | |||||||
\(348\) | −3776.67 | + | 2743.91i | −0.581756 | + | 0.422670i | ||||
\(349\) | 9203.85 | + | 6686.99i | 1.41166 | + | 1.02563i | 0.993078 | + | 0.117457i | \(0.0374744\pi\) |
0.418587 | + | 0.908177i | \(0.362526\pi\) | |||||||
\(350\) | −1312.38 | − | 4039.08i | −0.200427 | − | 0.616852i | ||||
\(351\) | 2416.01 | 0.367400 | ||||||||
\(352\) | 940.054 | − | 692.273i | 0.142344 | − | 0.104825i | ||||
\(353\) | 6210.08 | 0.936343 | 0.468172 | − | 0.883638i | \(-0.344913\pi\) | ||||
0.468172 | + | 0.883638i | \(0.344913\pi\) | |||||||
\(354\) | 171.689 | + | 528.405i | 0.0257773 | + | 0.0793344i | ||||
\(355\) | −946.799 | − | 687.889i | −0.141552 | − | 0.102843i | ||||
\(356\) | −2158.75 | + | 1568.42i | −0.321386 | + | 0.233500i | ||||
\(357\) | 1309.19 | − | 4029.27i | 0.194088 | − | 0.597343i | ||||
\(358\) | 1404.07 | − | 4321.28i | 0.207283 | − | 0.637952i | ||||
\(359\) | 2012.43 | − | 1462.12i | 0.295856 | − | 0.214952i | −0.429948 | − | 0.902854i | \(-0.641468\pi\) |
0.725804 | + | 0.687902i | \(0.241468\pi\) | |||||||
\(360\) | 3285.14 | + | 2386.79i | 0.480950 | + | 0.349430i | ||||
\(361\) | −1970.56 | − | 6064.77i | −0.287296 | − | 0.884207i | ||||
\(362\) | 1248.87 | 0.181324 | ||||||||
\(363\) | 8332.44 | − | 6219.24i | 1.20479 | − | 0.899244i | ||||
\(364\) | −3833.63 | −0.552024 | ||||||||
\(365\) | 5274.11 | + | 16232.0i | 0.756328 | + | 2.32774i | ||||
\(366\) | −6804.54 | − | 4943.79i | −0.971801 | − | 0.706055i | ||||
\(367\) | −5436.21 | + | 3949.64i | −0.773209 | + | 0.561770i | −0.902933 | − | 0.429781i | \(-0.858591\pi\) |
0.129724 | + | 0.991550i | \(0.458591\pi\) | |||||||
\(368\) | 878.840 | − | 2704.79i | 0.124491 | − | 0.383144i | ||||
\(369\) | −2661.35 | + | 8190.80i | −0.375459 | + | 1.15554i | ||||
\(370\) | 5366.77 | − | 3899.19i | 0.754068 | − | 0.547862i | ||||
\(371\) | −227.918 | − | 165.592i | −0.0318946 | − | 0.0231728i | ||||
\(372\) | −725.582 | − | 2233.11i | −0.101128 | − | 0.311240i | ||||
\(373\) | −8614.37 | −1.19580 | −0.597902 | − | 0.801569i | \(-0.703999\pi\) | ||||
−0.597902 | + | 0.801569i | \(0.703999\pi\) | |||||||
\(374\) | −1463.81 | + | 1077.98i | −0.202385 | + | 0.149040i | ||||
\(375\) | 3198.87 | 0.440503 | ||||||||
\(376\) | −1233.83 | − | 3797.33i | −0.169228 | − | 0.520831i | ||||
\(377\) | −5321.47 | − | 3866.28i | −0.726976 | − | 0.528179i | ||||
\(378\) | −1932.72 | + | 1404.20i | −0.262985 | + | 0.191070i | ||||
\(379\) | −2474.95 | + | 7617.10i | −0.335434 | + | 1.03236i | 0.631074 | + | 0.775723i | \(0.282614\pi\) |
−0.966508 | + | 0.256637i | \(0.917386\pi\) | |||||||
\(380\) | 404.888 | − | 1246.12i | 0.0546587 | − | 0.168222i | ||||
\(381\) | −4407.06 | + | 3201.92i | −0.592600 | + | 0.430549i | ||||
\(382\) | −2174.96 | − | 1580.20i | −0.291310 | − | 0.211649i | ||||
\(383\) | 2475.83 | + | 7619.82i | 0.330310 | + | 1.01659i | 0.968986 | + | 0.247115i | \(0.0794826\pi\) |
−0.638676 | + | 0.769476i | \(0.720517\pi\) | |||||||
\(384\) | 999.912 | 0.132882 | ||||||||
\(385\) | −9629.27 | − | 6901.86i | −1.27468 | − | 0.913639i | ||||
\(386\) | −9247.52 | −1.21940 | ||||||||
\(387\) | 1373.39 | + | 4226.86i | 0.180396 | + | 0.555203i | ||||
\(388\) | 581.372 | + | 422.392i | 0.0760688 | + | 0.0552672i | ||||
\(389\) | −6496.09 | + | 4719.68i | −0.846696 | + | 0.615160i | −0.924233 | − | 0.381829i | \(-0.875294\pi\) |
0.0775373 | + | 0.996989i | \(0.475294\pi\) | |||||||
\(390\) | −3171.13 | + | 9759.72i | −0.411734 | + | 1.26719i | ||||
\(391\) | −1368.49 | + | 4211.78i | −0.177001 | + | 0.544754i | ||||
\(392\) | 846.811 | − | 615.244i | 0.109108 | − | 0.0792717i | ||||
\(393\) | −1642.60 | − | 1193.42i | −0.210836 | − | 0.153181i | ||||
\(394\) | −410.801 | − | 1264.32i | −0.0525276 | − | 0.161663i | ||||
\(395\) | 11524.9 | 1.46806 | ||||||||
\(396\) | 4965.14 | − | 31.9448i | 0.630070 | − | 0.00405376i | ||||
\(397\) | 4435.00 | 0.560670 | 0.280335 | − | 0.959902i | \(-0.409554\pi\) | ||||
0.280335 | + | 0.959902i | \(0.409554\pi\) | |||||||
\(398\) | 1880.57 | + | 5787.79i | 0.236845 | + | 0.728934i | ||||
\(399\) | 3020.67 | + | 2194.64i | 0.379004 | + | 0.275363i | ||||
\(400\) | −1262.72 | + | 917.423i | −0.157841 | + | 0.114678i | ||||
\(401\) | −1214.19 | + | 3736.90i | −0.151207 | + | 0.465366i | −0.997757 | − | 0.0669429i | \(-0.978675\pi\) |
0.846550 | + | 0.532309i | \(0.178675\pi\) | |||||||
\(402\) | −2508.72 | + | 7721.03i | −0.311252 | + | 0.957936i | ||||
\(403\) | 2676.60 | − | 1944.67i | 0.330847 | − | 0.240374i | ||||
\(404\) | 1329.17 | + | 965.697i | 0.163685 | + | 0.118924i | ||||
\(405\) | −2258.86 | − | 6952.07i | −0.277145 | − | 0.852965i | ||||
\(406\) | 6504.07 | 0.795054 | ||||||||
\(407\) | 2456.90 | − | 7730.44i | 0.299223 | − | 0.941483i | ||||
\(408\) | −1557.02 | −0.188931 | ||||||||
\(409\) | −4500.59 | − | 13851.4i | −0.544107 | − | 1.67459i | −0.723103 | − | 0.690740i | \(-0.757285\pi\) |
0.178996 | − | 0.983850i | \(-0.442715\pi\) | |||||||
\(410\) | −6109.85 | − | 4439.07i | −0.735961 | − | 0.534707i | ||||
\(411\) | −13167.9 | + | 9567.02i | −1.58035 | + | 1.14819i | ||||
\(412\) | 1690.52 | − | 5202.89i | 0.202150 | − | 0.622155i | ||||
\(413\) | 239.208 | − | 736.208i | 0.0285004 | − | 0.0877153i | ||||
\(414\) | 9785.57 | − | 7109.63i | 1.16168 | − | 0.844008i | ||||
\(415\) | −6483.98 | − | 4710.89i | −0.766955 | − | 0.557225i | ||||
\(416\) | 435.378 | + | 1339.96i | 0.0513129 | + | 0.157925i | ||||
\(417\) | −1354.79 | −0.159099 | ||||||||
\(418\) | −504.877 | − | 1520.50i | −0.0590774 | − | 0.177918i | ||||
\(419\) | 4028.77 | 0.469734 | 0.234867 | − | 0.972028i | \(-0.424535\pi\) | ||||
0.234867 | + | 0.972028i | \(0.424535\pi\) | |||||||
\(420\) | −3135.63 | − | 9650.47i | −0.364293 | − | 1.12118i | ||||
\(421\) | 6898.98 | + | 5012.40i | 0.798659 | + | 0.580260i | 0.910521 | − | 0.413464i | \(-0.135681\pi\) |
−0.111861 | + | 0.993724i | \(0.535681\pi\) | |||||||
\(422\) | 4193.31 | − | 3046.62i | 0.483714 | − | 0.351439i | ||||
\(423\) | 5247.54 | − | 16150.3i | 0.603177 | − | 1.85639i | ||||
\(424\) | −31.9946 | + | 98.4694i | −0.00366462 | + | 0.0112785i | ||||
\(425\) | 1966.26 | − | 1428.57i | 0.224418 | − | 0.163049i | ||||
\(426\) | −991.574 | − | 720.420i | −0.112774 | − | 0.0819354i | ||||
\(427\) | 3621.24 | + | 11145.0i | 0.410408 | + | 1.26310i | ||||
\(428\) | −1580.96 | −0.178548 | ||||||||
\(429\) | 3954.25 | + | 11908.7i | 0.445019 | + | 1.34023i | ||||
\(430\) | −3897.31 | −0.437082 | ||||||||
\(431\) | 4145.53 | + | 12758.6i | 0.463302 | + | 1.42590i | 0.861105 | + | 0.508427i | \(0.169773\pi\) |
−0.397803 | + | 0.917471i | \(0.630227\pi\) | |||||||
\(432\) | 710.301 | + | 516.064i | 0.0791074 | + | 0.0574749i | ||||
\(433\) | −3343.11 | + | 2428.91i | −0.371038 | + | 0.269575i | −0.757641 | − | 0.652671i | \(-0.773648\pi\) |
0.386603 | + | 0.922246i | \(0.373648\pi\) | |||||||
\(434\) | −1010.93 | + | 3111.32i | −0.111811 | + | 0.344120i | ||||
\(435\) | 5380.08 | − | 16558.2i | 0.593000 | − | 1.82507i | ||||
\(436\) | −1636.89 | + | 1189.27i | −0.179800 | + | 0.130632i | ||||
\(437\) | −3157.50 | − | 2294.06i | −0.345637 | − | 0.251120i | ||||
\(438\) | 5523.53 | + | 16999.7i | 0.602567 | + | 1.85451i | ||||
\(439\) | 3358.46 | 0.365126 | 0.182563 | − | 0.983194i | \(-0.441561\pi\) | ||||
0.182563 | + | 0.983194i | \(0.441561\pi\) | |||||||
\(440\) | −1318.81 | + | 4149.52i | −0.142890 | + | 0.449592i | ||||
\(441\) | 4451.74 | 0.480698 | ||||||||
\(442\) | −677.952 | − | 2086.52i | −0.0729568 | − | 0.224538i | ||||
\(443\) | 357.383 | + | 259.654i | 0.0383290 | + | 0.0278477i | 0.606785 | − | 0.794866i | \(-0.292459\pi\) |
−0.568456 | + | 0.822714i | \(0.692459\pi\) | |||||||
\(444\) | 5620.57 | − | 4083.58i | 0.600767 | − | 0.436483i | ||||
\(445\) | 3075.25 | − | 9464.66i | 0.327598 | − | 1.00824i | ||||
\(446\) | −1629.88 | + | 5016.26i | −0.173043 | + | 0.532571i | ||||
\(447\) | −2837.98 | + | 2061.91i | −0.300295 | + | 0.218177i | ||||
\(448\) | −1127.08 | − | 818.869i | −0.118860 | − | 0.0863569i | ||||
\(449\) | −126.227 | − | 388.486i | −0.0132673 | − | 0.0408325i | 0.944204 | − | 0.329362i | \(-0.106834\pi\) |
−0.957471 | + | 0.288530i | \(0.906834\pi\) | |||||||
\(450\) | −6638.23 | −0.695398 | ||||||||
\(451\) | −9234.40 | + | 59.4126i | −0.964148 | + | 0.00620317i | ||||
\(452\) | 6150.49 | 0.640033 | ||||||||
\(453\) | −68.8849 | − | 212.006i | −0.00714458 | − | 0.0219888i | ||||
\(454\) | 405.592 | + | 294.680i | 0.0419282 | + | 0.0304626i | ||||
\(455\) | 11567.0 | − | 8403.95i | 1.19181 | − | 0.865897i | ||||
\(456\) | 424.036 | − | 1305.05i | 0.0435467 | − | 0.134023i | ||||
\(457\) | 470.585 | − | 1448.31i | 0.0481686 | − | 0.148248i | −0.924079 | − | 0.382201i | \(-0.875166\pi\) |
0.972248 | + | 0.233953i | \(0.0751663\pi\) | |||||||
\(458\) | 2911.35 | − | 2115.22i | 0.297027 | − | 0.215803i | ||||
\(459\) | −1106.05 | − | 803.592i | −0.112475 | − | 0.0817178i | ||||
\(460\) | 3277.66 | + | 10087.6i | 0.332221 | + | 1.02247i | ||||
\(461\) | −13861.4 | −1.40041 | −0.700203 | − | 0.713944i | \(-0.746907\pi\) | ||||
−0.700203 | + | 0.713944i | \(0.746907\pi\) | |||||||
\(462\) | −10084.6 | − | 7228.25i | −1.01554 | − | 0.727898i | ||||
\(463\) | −6502.26 | −0.652669 | −0.326334 | − | 0.945254i | \(-0.605814\pi\) | ||||
−0.326334 | + | 0.945254i | \(0.605814\pi\) | |||||||
\(464\) | −738.656 | − | 2273.35i | −0.0739036 | − | 0.227452i | ||||
\(465\) | 7084.62 | + | 5147.27i | 0.706540 | + | 0.513331i | ||||
\(466\) | 5146.12 | − | 3738.87i | 0.511565 | − | 0.371674i | ||||
\(467\) | 131.015 | − | 403.223i | 0.0129821 | − | 0.0399548i | −0.944356 | − | 0.328926i | \(-0.893313\pi\) |
0.957338 | + | 0.288971i | \(0.0933132\pi\) | |||||||
\(468\) | −1851.69 | + | 5698.91i | −0.182894 | + | 0.562890i | ||||
\(469\) | 9150.83 | − | 6648.46i | 0.900951 | − | 0.654579i | ||||
\(470\) | 12047.1 | + | 8752.76i | 1.18233 | + | 0.859010i | ||||
\(471\) | −4161.37 | − | 12807.4i | −0.407104 | − | 1.25294i | ||||
\(472\) | −284.491 | −0.0277431 | ||||||||
\(473\) | −3837.28 | + | 2825.84i | −0.373020 | + | 0.274699i | ||||
\(474\) | 12070.0 | 1.16960 | ||||||||
\(475\) | 661.898 | + | 2037.11i | 0.0639368 | + | 0.196777i | ||||
\(476\) | 1755.03 | + | 1275.11i | 0.168995 | + | 0.122782i | ||||
\(477\) | −356.249 | + | 258.830i | −0.0341961 | + | 0.0248449i | ||||
\(478\) | −3098.70 | + | 9536.82i | −0.296509 | + | 0.912561i | ||||
\(479\) | 1408.29 | − | 4334.29i | 0.134335 | − | 0.413442i | −0.861151 | − | 0.508350i | \(-0.830256\pi\) |
0.995486 | + | 0.0949081i | \(0.0302557\pi\) | |||||||
\(480\) | −3016.99 | + | 2191.97i | −0.286888 | + | 0.208436i | ||||
\(481\) | 7919.59 | + | 5753.92i | 0.750732 | + | 0.545439i | ||||
\(482\) | −3754.02 | − | 11553.7i | −0.354753 | − | 1.09182i | ||||
\(483\) | −30225.6 | −2.84744 | ||||||||
\(484\) | 1710.22 | + | 5041.84i | 0.160614 | + | 0.473501i | ||||
\(485\) | −2680.10 | −0.250922 | ||||||||
\(486\) | −3281.36 | − | 10099.0i | −0.306267 | − | 0.942592i | ||||
\(487\) | 5427.63 | + | 3943.41i | 0.505030 | + | 0.366926i | 0.810935 | − | 0.585136i | \(-0.198959\pi\) |
−0.305905 | + | 0.952062i | \(0.598959\pi\) | |||||||
\(488\) | 3484.23 | − | 2531.44i | 0.323204 | − | 0.234822i | ||||
\(489\) | −8010.13 | + | 24652.6i | −0.740758 | + | 2.27982i | ||||
\(490\) | −1206.33 | + | 3712.70i | −0.111217 | + | 0.342291i | ||||
\(491\) | −11753.1 | + | 8539.14i | −1.08027 | + | 0.784859i | −0.977729 | − | 0.209870i | \(-0.932696\pi\) |
−0.102537 | + | 0.994729i | \(0.532696\pi\) | |||||||
\(492\) | −6398.80 | − | 4649.00i | −0.586341 | − | 0.426002i | ||||
\(493\) | 1150.20 | + | 3539.96i | 0.105076 | + | 0.323391i | ||||
\(494\) | 1933.49 | 0.176097 | ||||||||
\(495\) | −14911.1 | + | 10980.8i | −1.35394 | + | 0.997070i | ||||
\(496\) | 1202.30 | 0.108840 | ||||||||
\(497\) | 527.695 | + | 1624.08i | 0.0476265 | + | 0.146579i | ||||
\(498\) | −6790.62 | − | 4933.67i | −0.611034 | − | 0.443942i | ||||
\(499\) | 7847.09 | − | 5701.24i | 0.703976 | − | 0.511468i | −0.177249 | − | 0.984166i | \(-0.556720\pi\) |
0.881225 | + | 0.472698i | \(0.156720\pi\) | |||||||
\(500\) | −506.158 | + | 1557.79i | −0.0452722 | + | 0.139333i | ||||
\(501\) | 7279.61 | − | 22404.3i | 0.649159 | − | 1.99791i | ||||
\(502\) | −9011.95 | + | 6547.57i | −0.801241 | + | 0.582136i | ||||
\(503\) | −12707.4 | − | 9232.43i | −1.12643 | − | 0.818397i | −0.141256 | − | 0.989973i | \(-0.545114\pi\) |
−0.985171 | + | 0.171576i | \(0.945114\pi\) | |||||||
\(504\) | −1830.96 | − | 5635.12i | −0.161820 | − | 0.498032i | ||||
\(505\) | −6127.41 | −0.539933 | ||||||||
\(506\) | 10541.4 | + | 7555.67i | 0.926136 | + | 0.663815i | ||||
\(507\) | 2019.25 | 0.176879 | ||||||||
\(508\) | −861.950 | − | 2652.81i | −0.0752812 | − | 0.231692i | ||||
\(509\) | 1192.56 | + | 866.443i | 0.103849 | + | 0.0754507i | 0.638498 | − | 0.769624i | \(-0.279556\pi\) |
−0.534649 | + | 0.845074i | \(0.679556\pi\) | |||||||
\(510\) | 4697.93 | − | 3413.24i | 0.407898 | − | 0.296355i | ||||
\(511\) | 7695.74 | − | 23685.0i | 0.666222 | − | 2.05042i | ||||
\(512\) | −158.217 | + | 486.941i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | 974.766 | − | 708.209i | 0.0838928 | − | 0.0609517i | ||||
\(514\) | −9557.81 | − | 6944.15i | −0.820188 | − | 0.595902i | ||||
\(515\) | 6304.85 | + | 19404.3i | 0.539466 | + | 1.66031i | ||||
\(516\) | −4081.62 | −0.348223 | ||||||||
\(517\) | 18208.0 | − | 117.147i | 1.54891 | − | 0.00996542i | ||||
\(518\) | −9679.57 | −0.821035 | ||||||||
\(519\) | 5333.48 | + | 16414.8i | 0.451086 | + | 1.38830i | ||||
\(520\) | −4251.05 | − | 3088.57i | −0.358502 | − | 0.260467i | ||||
\(521\) | 7501.89 | − | 5450.44i | 0.630832 | − | 0.458326i | −0.225856 | − | 0.974161i | \(-0.572518\pi\) |
0.856688 | + | 0.515834i | \(0.172518\pi\) | |||||||
\(522\) | 3141.55 | − | 9668.69i | 0.263413 | − | 0.810703i | ||||
\(523\) | −1311.01 | + | 4034.86i | −0.109610 | + | 0.337346i | −0.990785 | − | 0.135445i | \(-0.956754\pi\) |
0.881174 | + | 0.472791i | \(0.156754\pi\) | |||||||
\(524\) | 841.087 | − | 611.085i | 0.0701203 | − | 0.0509454i | ||||
\(525\) | 13420.1 | + | 9750.28i | 1.11562 | + | 0.810547i | ||||
\(526\) | 4235.84 | + | 13036.6i | 0.351125 | + | 1.08065i | ||||
\(527\) | −1872.17 | −0.154749 | ||||||||
\(528\) | −1381.17 | + | 4345.76i | −0.113841 | + | 0.358191i | ||||
\(529\) | 19427.7 | 1.59676 | ||||||||
\(530\) | −119.325 | − | 367.245i | −0.00977953 | − | 0.0300983i | ||||
\(531\) | −978.875 | − | 711.194i | −0.0799992 | − | 0.0581228i | ||||
\(532\) | −1546.72 | + | 1123.76i | −0.126050 | + | 0.0915809i | ||||
\(533\) | 3443.86 | − | 10599.1i | 0.279869 | − | 0.861348i | ||||
\(534\) | 3220.68 | − | 9912.25i | 0.260997 | − | 0.803268i | ||||
\(535\) | 4770.17 | − | 3465.73i | 0.385481 | − | 0.280068i | ||||
\(536\) | −3363.06 | − | 2443.41i | −0.271011 | − | 0.196901i | ||||
\(537\) | 5484.16 | + | 16878.5i | 0.440706 | + | 1.35635i | ||||
\(538\) | −2202.73 | −0.176517 | ||||||||
\(539\) | 1504.24 | + | 4530.19i | 0.120208 | + | 0.362020i | ||||
\(540\) | −3274.46 | −0.260945 | ||||||||
\(541\) | −2014.87 | − | 6201.13i | −0.160122 | − | 0.492805i | 0.838522 | − | 0.544868i | \(-0.183420\pi\) |
−0.998644 | + | 0.0520633i | \(0.983420\pi\) | |||||||
\(542\) | −4161.09 | − | 3023.21i | −0.329768 | − | 0.239590i | ||||
\(543\) | −3946.36 | + | 2867.20i | −0.311887 | + | 0.226599i | ||||
\(544\) | 246.368 | − | 758.243i | 0.0194172 | − | 0.0597599i | ||||
\(545\) | 2331.84 | − | 7176.66i | 0.183275 | − | 0.564063i | ||||
\(546\) | 12114.1 | − | 8801.38i | 0.949513 | − | 0.689861i | ||||
\(547\) | −5154.07 | − | 3744.65i | −0.402874 | − | 0.292705i | 0.367836 | − | 0.929890i | \(-0.380099\pi\) |
−0.770711 | + | 0.637185i | \(0.780099\pi\) | |||||||
\(548\) | −2575.42 | − | 7926.34i | −0.200760 | − | 0.617876i | ||||
\(549\) | 18316.8 | 1.42394 | ||||||||
\(550\) | −2243.05 | − | 6755.20i | −0.173898 | − | 0.523714i | ||||
\(551\) | −3280.33 | −0.253624 | ||||||||
\(552\) | 3432.67 | + | 10564.7i | 0.264681 | + | 0.814605i | ||||
\(553\) | −13605.0 | − | 9884.59i | −1.04619 | − | 0.760100i | ||||
\(554\) | −11876.5 | + | 8628.81i | −0.910804 | + | 0.661738i | ||||
\(555\) | −8006.81 | + | 24642.4i | −0.612379 | + | 1.88471i | ||||
\(556\) | 214.370 | − | 659.762i | 0.0163513 | − | 0.0503240i | ||||
\(557\) | −4938.23 | + | 3587.84i | −0.375655 | + | 0.272929i | −0.759552 | − | 0.650447i | \(-0.774582\pi\) |
0.383897 | + | 0.923376i | \(0.374582\pi\) | |||||||
\(558\) | 4136.86 | + | 3005.61i | 0.313848 | + | 0.228024i | ||||
\(559\) | −1777.20 | − | 5469.67i | −0.134468 | − | 0.413851i | ||||
\(560\) | 5195.77 | 0.392074 | ||||||||
\(561\) | 2150.70 | − | 6767.02i | 0.161859 | − | 0.509276i | ||||
\(562\) | 14985.9 | 1.12481 | ||||||||
\(563\) | −4200.34 | − | 12927.3i | −0.314429 | − | 0.967711i | −0.975989 | − | 0.217820i | \(-0.930106\pi\) |
0.661561 | − | 0.749892i | \(-0.269894\pi\) | |||||||
\(564\) | 12616.9 | + | 9166.69i | 0.941961 | + | 0.684375i | ||||
\(565\) | −18557.6 | + | 13482.9i | −1.38181 | + | 1.00395i | ||||
\(566\) | 4013.57 | − | 12352.5i | 0.298062 | − | 0.917341i | ||||
\(567\) | −3296.03 | + | 10144.1i | −0.244127 | + | 0.751347i | ||||
\(568\) | 507.730 | − | 368.888i | 0.0375068 | − | 0.0272503i | ||||
\(569\) | −13913.1 | − | 10108.5i | −1.02508 | − | 0.744761i | −0.0577589 | − | 0.998331i | \(-0.518395\pi\) |
−0.967317 | + | 0.253569i | \(0.918395\pi\) | |||||||
\(570\) | 1581.46 | + | 4867.22i | 0.116210 | + | 0.357659i | ||||
\(571\) | 2475.65 | 0.181441 | 0.0907203 | − | 0.995876i | \(-0.471083\pi\) | ||||
0.0907203 | + | 0.995876i | \(0.471083\pi\) | |||||||
\(572\) | −6425.02 | + | 41.3375i | −0.469657 | + | 0.00302169i | ||||
\(573\) | 10500.6 | 0.765567 | ||||||||
\(574\) | 3405.31 | + | 10480.5i | 0.247622 | + | 0.762101i | ||||
\(575\) | −14028.0 | − | 10191.9i | −1.01741 | − | 0.739188i | ||||
\(576\) | −1761.69 | + | 1279.94i | −0.127437 | + | 0.0925883i | ||||
\(577\) | −6285.32 | + | 19344.2i | −0.453485 | + | 1.39568i | 0.419419 | + | 0.907793i | \(0.362234\pi\) |
−0.872904 | + | 0.487892i | \(0.837766\pi\) | |||||||
\(578\) | 2652.77 | − | 8164.38i | 0.190901 | − | 0.587532i | ||||
\(579\) | 29221.7 | − | 21230.8i | 2.09743 | − | 1.52387i | ||||
\(580\) | 7212.27 | + | 5240.02i | 0.516333 | + | 0.375138i | ||||
\(581\) | 3613.83 | + | 11122.2i | 0.258050 | + | 0.794196i | ||||
\(582\) | −2806.85 | −0.199910 | ||||||||
\(583\) | −383.767 | − | 275.068i | −0.0272625 | − | 0.0195406i | ||||
\(584\) | −9152.55 | −0.648519 | ||||||||
\(585\) | −6905.94 | − | 21254.3i | −0.488078 | − | 1.50215i | ||||
\(586\) | −4344.22 | − | 3156.26i | −0.306242 | − | 0.222498i | ||||
\(587\) | 11988.4 | − | 8710.07i | 0.842953 | − | 0.612441i | −0.0802411 | − | 0.996775i | \(-0.525569\pi\) |
0.923194 | + | 0.384334i | \(0.125569\pi\) | |||||||
\(588\) | −1263.38 | + | 3888.28i | −0.0886068 | + | 0.272704i | ||||
\(589\) | 509.862 | − | 1569.19i | 0.0356681 | − | 0.109775i | ||||
\(590\) | 858.382 | − | 623.651i | 0.0598967 | − | 0.0435175i | ||||
\(591\) | 4200.77 | + | 3052.04i | 0.292380 | + | 0.212427i | ||||
\(592\) | 1099.29 | + | 3383.27i | 0.0763186 | + | 0.234885i | ||||
\(593\) | 11123.2 | 0.770281 | 0.385140 | − | 0.922858i | \(-0.374153\pi\) | ||||
0.385140 | + | 0.922858i | \(0.374153\pi\) | |||||||
\(594\) | −3224.02 | + | 2374.23i | −0.222699 | + | 0.164000i | ||||
\(595\) | −8090.63 | −0.557451 | ||||||||
\(596\) | −555.062 | − | 1708.31i | −0.0381481 | − | 0.117408i | ||||
\(597\) | −19230.3 | − | 13971.6i | −1.31833 | − | 0.957824i | ||||
\(598\) | −12662.8 | + | 9200.06i | −0.865920 | + | 0.629127i | ||||
\(599\) | 2560.26 | − | 7879.67i | 0.174640 | − | 0.537487i | −0.824977 | − | 0.565167i | \(-0.808812\pi\) |
0.999617 | + | 0.0276796i | \(0.00881183\pi\) | |||||||
\(600\) | 1883.89 | − | 5798.01i | 0.128182 | − | 0.394505i | ||||
\(601\) | −22101.0 | + | 16057.3i | −1.50003 | + | 1.08984i | −0.529660 | + | 0.848210i | \(0.677680\pi\) |
−0.970370 | + | 0.241625i | \(0.922320\pi\) | |||||||
\(602\) | 4600.70 | + | 3342.60i | 0.311479 | + | 0.226303i | ||||
\(603\) | −5463.37 | − | 16814.5i | −0.368965 | − | 1.13556i | ||||
\(604\) | 114.143 | 0.00768944 | ||||||||
\(605\) | −16212.7 | − | 11463.4i | −1.08949 | − | 0.770338i | ||||
\(606\) | −6417.18 | −0.430165 | ||||||||
\(607\) | 5045.53 | + | 15528.6i | 0.337384 | + | 1.03836i | 0.965536 | + | 0.260270i | \(0.0838115\pi\) |
−0.628152 | + | 0.778091i | \(0.716188\pi\) | |||||||
\(608\) | 568.441 | + | 412.997i | 0.0379167 | + | 0.0275481i | ||||
\(609\) | −20552.5 | + | 14932.3i | −1.36754 | + | 0.993574i | ||||
\(610\) | −4963.48 | + | 15276.0i | −0.329452 | + | 1.01395i | ||||
\(611\) | −6790.45 | + | 20898.9i | −0.449611 | + | 1.38376i | ||||
\(612\) | 2743.22 | − | 1993.07i | 0.181190 | − | 0.131642i | ||||
\(613\) | 17009.8 | + | 12358.4i | 1.12075 | + | 0.814274i | 0.984323 | − | 0.176376i | \(-0.0564374\pi\) |
0.136429 | + | 0.990650i | \(0.456437\pi\) | |||||||
\(614\) | −5149.25 | − | 15847.8i | −0.338448 | − | 1.04163i | ||||
\(615\) | 29498.2 | 1.93412 | ||||||||
\(616\) | 5115.74 | − | 3767.33i | 0.334609 | − | 0.246412i | ||||
\(617\) | 871.824 | 0.0568854 | 0.0284427 | − | 0.999595i | \(-0.490945\pi\) | ||||
0.0284427 | + | 0.999595i | \(0.490945\pi\) | |||||||
\(618\) | 6603.02 | + | 20322.0i | 0.429793 | + | 1.32277i | ||||
\(619\) | −7602.75 | − | 5523.72i | −0.493668 | − | 0.358671i | 0.312925 | − | 0.949778i | \(-0.398691\pi\) |
−0.806593 | + | 0.591107i | \(0.798691\pi\) | |||||||
\(620\) | −3627.64 | + | 2635.64i | −0.234983 | + | 0.170725i | ||||
\(621\) | −3014.08 | + | 9276.38i | −0.194768 | + | 0.599434i | ||||
\(622\) | 3102.75 | − | 9549.28i | 0.200014 | − | 0.615581i | ||||
\(623\) | −11747.8 | + | 8535.29i | −0.755484 | + | 0.548891i | ||||
\(624\) | −4452.09 | − | 3234.63i | −0.285619 | − | 0.207514i | ||||
\(625\) | −5655.84 | − | 17406.9i | −0.361974 | − | 1.11404i | ||||
\(626\) | −6044.15 | −0.385899 | ||||||||
\(627\) | 5086.19 | + | 3645.57i | 0.323960 | + | 0.232201i | ||||
\(628\) | 6895.44 | 0.438150 | ||||||||
\(629\) | −1711.77 | − | 5268.28i | −0.108510 | − | 0.333959i | ||||
\(630\) | 17877.6 | + | 12988.8i | 1.13057 | + | 0.821409i | ||||
\(631\) | 11759.8 | − | 8544.01i | 0.741919 | − | 0.539036i | −0.151393 | − | 0.988474i | \(-0.548376\pi\) |
0.893311 | + | 0.449438i | \(0.148376\pi\) | |||||||
\(632\) | −1909.84 | + | 5877.88i | −0.120205 | + | 0.369952i | ||||
\(633\) | −6256.10 | + | 19254.3i | −0.392824 | + | 1.20899i | ||||
\(634\) | −17054.3 | + | 12390.7i | −1.06832 | + | 0.776178i | ||||
\(635\) | 8416.12 | + | 6114.67i | 0.525958 | + | 0.382131i | ||||
\(636\) | −124.968 | − | 384.612i | −0.00779136 | − | 0.0239794i | ||||
\(637\) | −5760.67 | −0.358314 | ||||||||
\(638\) | 10900.6 | − | 70.1325i | 0.676424 | − | 0.00435200i | ||||
\(639\) | 2669.17 | 0.165244 | ||||||||
\(640\) | −590.075 | − | 1816.06i | −0.0364449 | − | 0.112166i | ||||
\(641\) | 9238.70 | + | 6712.31i | 0.569277 | + | 0.413604i | 0.834843 | − | 0.550489i | \(-0.185559\pi\) |
−0.265565 | + | 0.964093i | \(0.585559\pi\) | |||||||
\(642\) | 4995.76 | − | 3629.63i | 0.307113 | − | 0.223131i | ||||
\(643\) | 7407.11 | − | 22796.7i | 0.454289 | − | 1.39816i | −0.417679 | − | 0.908595i | \(-0.637156\pi\) |
0.871968 | − | 0.489563i | \(-0.162844\pi\) | |||||||
\(644\) | 4782.61 | − | 14719.4i | 0.292642 | − | 0.900659i | ||||
\(645\) | 12315.3 | − | 8947.58i | 0.751805 | − | 0.546218i | ||||
\(646\) | −885.152 | − | 643.100i | −0.0539100 | − | 0.0391679i | ||||
\(647\) | 2569.24 | + | 7907.32i | 0.156117 | + | 0.480478i | 0.998272 | − | 0.0587569i | \(-0.0187137\pi\) |
−0.842156 | + | 0.539234i | \(0.818714\pi\) | |||||||
\(648\) | 3919.97 | 0.237641 | ||||||||
\(649\) | 392.966 | − | 1236.44i | 0.0237677 | − | 0.0747833i | ||||
\(650\) | 8590.04 | 0.518353 | ||||||||
\(651\) | −3948.59 | − | 12152.5i | −0.237723 | − | 0.731635i | ||||
\(652\) | −10738.0 | − | 7801.60i | −0.644988 | − | 0.468611i | ||||
\(653\) | 24334.7 | − | 17680.2i | 1.45833 | − | 1.05954i | 0.474536 | − | 0.880236i | \(-0.342616\pi\) |
0.983794 | − | 0.179303i | \(-0.0573843\pi\) | |||||||
\(654\) | 2442.11 | − | 7516.05i | 0.146016 | − | 0.449390i | ||||
\(655\) | −1198.17 | + | 3687.60i | −0.0714757 | + | 0.219980i | ||||
\(656\) | 3276.47 | − | 2380.50i | 0.195007 | − | 0.141681i | ||||
\(657\) | −31492.1 | − | 22880.3i | −1.87005 | − | 1.35867i | ||||
\(658\) | −6714.44 | − | 20664.9i | −0.397806 | − | 1.22432i | ||||
\(659\) | −10041.6 | −0.593572 | −0.296786 | − | 0.954944i | \(-0.595915\pi\) | ||||
−0.296786 | + | 0.954944i | \(0.595915\pi\) | |||||||
\(660\) | −5359.26 | − | 16140.0i | −0.316074 | − | 0.951893i | ||||
\(661\) | 1402.50 | 0.0825281 | 0.0412640 | − | 0.999148i | \(-0.486862\pi\) | ||||
0.0412640 | + | 0.999148i | \(0.486862\pi\) | |||||||
\(662\) | −191.511 | − | 589.409i | −0.0112436 | − | 0.0346043i | ||||
\(663\) | 6932.60 | + | 5036.83i | 0.406093 | + | 0.295044i | ||||
\(664\) | 3477.10 | − | 2526.26i | 0.203219 | − | 0.147648i | ||||
\(665\) | 2203.39 | − | 6781.32i | 0.128487 | − | 0.395441i | ||||
\(666\) | −4675.35 | + | 14389.3i | −0.272021 | + | 0.837196i | ||||
\(667\) | 21483.5 | − | 15608.7i | 1.24714 | − | 0.906102i | ||||
\(668\) | 9758.68 | + | 7090.10i | 0.565232 | + | 0.410665i | ||||
\(669\) | −6366.17 | − | 19593.1i | −0.367908 | − | 1.13230i | ||||
\(670\) | 15503.6 | 0.893963 | ||||||||
\(671\) | 6189.24 | + | 18639.6i | 0.356085 | + | 1.07239i | ||||
\(672\) | 5441.49 | 0.312366 | ||||||||
\(673\) | 6299.43 | + | 19387.7i | 0.360810 | + | 1.11046i | 0.952563 | + | 0.304341i | \(0.0984361\pi\) |
−0.591753 | + | 0.806119i | \(0.701564\pi\) | |||||||
\(674\) | 18064.8 | + | 13124.8i | 1.03239 | + | 0.750074i | ||||
\(675\) | 4330.65 | − | 3146.40i | 0.246944 | − | 0.179415i | ||||
\(676\) | −319.507 | + | 983.340i | −0.0181786 | + | 0.0559479i | ||||
\(677\) | −2282.09 | + | 7023.55i | −0.129554 | + | 0.398725i | −0.994703 | − | 0.102789i | \(-0.967223\pi\) |
0.865149 | + | 0.501514i | \(0.167223\pi\) | |||||||
\(678\) | −19435.2 | + | 14120.5i | −1.10089 | + | 0.799846i | ||||
\(679\) | 3163.81 | + | 2298.64i | 0.178815 | + | 0.129917i | ||||
\(680\) | 918.838 | + | 2827.89i | 0.0518174 | + | 0.159478i | ||||
\(681\) | −1958.19 | −0.110188 | ||||||||
\(682\) | −1660.73 | + | 5225.35i | −0.0932442 | + | 0.293386i | ||||
\(683\) | −25844.0 | −1.44787 | −0.723935 | − | 0.689868i | \(-0.757668\pi\) | ||||
−0.723935 | + | 0.689868i | \(0.757668\pi\) | |||||||
\(684\) | 923.446 | + | 2842.07i | 0.0516211 | + | 0.158873i | ||||
\(685\) | 25146.5 | + | 18270.0i | 1.40263 | + | 1.01907i | ||||
\(686\) | −7472.53 | + | 5429.11i | −0.415893 | + | 0.302164i | ||||
\(687\) | −4343.51 | + | 13368.0i | −0.241216 | + | 0.742386i | ||||
\(688\) | 645.837 | − | 1987.68i | 0.0357882 | − | 0.110145i | ||||
\(689\) | 460.996 | − | 334.933i | 0.0254899 | − | 0.0185195i | ||||
\(690\) | −33516.7 | − | 24351.3i | −1.84922 | − | 1.34353i | ||||
\(691\) | 2607.73 | + | 8025.78i | 0.143564 | + | 0.441845i | 0.996824 | − | 0.0796417i | \(-0.0253776\pi\) |
−0.853259 | + | 0.521487i | \(0.825378\pi\) | |||||||
\(692\) | −8837.64 | −0.485486 | ||||||||
\(693\) | 27020.1 | − | 173.843i | 1.48111 | − | 0.00952920i | ||||
\(694\) | −5030.97 | −0.275177 | ||||||||
\(695\) | 799.499 | + | 2460.60i | 0.0436356 | + | 0.134296i | ||||
\(696\) | 7553.35 | + | 5487.83i | 0.411363 | + | 0.298873i | ||||
\(697\) | −5101.98 | + | 3706.80i | −0.277261 | + | 0.201442i | ||||
\(698\) | 7031.12 | − | 21639.6i | 0.381278 | − | 1.17345i | ||||
\(699\) | −7677.62 | + | 23629.3i | −0.415442 | + | 1.27860i | ||||
\(700\) | −6871.70 | + | 4992.58i | −0.371037 | + | 0.269574i | ||||
\(701\) | 10503.8 | + | 7631.43i | 0.565937 | + | 0.411177i | 0.833627 | − | 0.552328i | \(-0.186260\pi\) |
−0.267690 | + | 0.963505i | \(0.586260\pi\) | |||||||
\(702\) | −1493.18 | − | 4595.53i | −0.0802798 | − | 0.247076i | ||||
\(703\) | 4881.90 | 0.261912 | ||||||||
\(704\) | −1897.77 | − | 1360.24i | −0.101598 | − | 0.0728210i | ||||
\(705\) | −58163.2 | −3.10717 | ||||||||
\(706\) | −3838.04 | − | 11812.3i | −0.204598 | − | 0.629689i | ||||
\(707\) | 7233.28 | + | 5255.29i | 0.384775 | + | 0.279555i | ||||
\(708\) | 898.976 | − | 653.144i | 0.0477197 | − | 0.0346704i | ||||
\(709\) | −5537.15 | + | 17041.6i | −0.293303 | + | 0.902695i | 0.690483 | + | 0.723349i | \(0.257398\pi\) |
−0.983786 | + | 0.179346i | \(0.942602\pi\) | |||||||
\(710\) | −723.290 | + | 2226.06i | −0.0382318 | + | 0.117665i | ||||
\(711\) | −21265.4 | + | 15450.2i | −1.12168 | + | 0.814948i | ||||
\(712\) | 4317.49 | + | 3136.84i | 0.227254 | + | 0.165110i | ||||
\(713\) | 4127.45 | + | 12703.0i | 0.216794 | + | 0.667224i | ||||
\(714\) | −8473.24 | −0.444122 | ||||||||
\(715\) | 19295.3 | − | 14209.4i | 1.00924 | − | 0.743220i | ||||
\(716\) | −9087.33 | −0.474315 | ||||||||
\(717\) | −12103.2 | − | 37250.0i | −0.630410 | − | 1.94020i | ||||
\(718\) | −4024.87 | − | 2924.24i | −0.209202 | − | 0.151994i | ||||
\(719\) | −2845.59 | + | 2067.45i | −0.147598 | + | 0.107236i | −0.659133 | − | 0.752026i | \(-0.729077\pi\) |
0.511536 | + | 0.859262i | \(0.329077\pi\) | |||||||
\(720\) | 2509.62 | − | 7723.82i | 0.129900 | − | 0.399791i | ||||
\(721\) | 9199.75 | − | 28313.9i | 0.475196 | − | 1.46250i | ||||
\(722\) | −10318.0 | + | 7496.47i | −0.531851 | + | 0.386412i | ||||
\(723\) | 38387.8 | + | 27890.4i | 1.97463 | + | 1.43465i | ||||
\(724\) | −771.844 | − | 2375.49i | −0.0396207 | − | 0.121940i | ||||
\(725\) | −14573.7 | −0.746559 | ||||||||
\(726\) | −16979.4 | − | 12005.5i | −0.867997 | − | 0.613729i | ||||
\(727\) | −29438.9 | −1.50183 | −0.750913 | − | 0.660401i | \(-0.770386\pi\) | ||||
−0.750913 | + | 0.660401i | \(0.770386\pi\) | |||||||
\(728\) | 2369.31 | + | 7292.00i | 0.120622 | + | 0.371235i | ||||
\(729\) | 22851.3 | + | 16602.5i | 1.16097 | + | 0.843492i | ||||
\(730\) | 27615.6 | − | 20063.9i | 1.40014 | − | 1.01726i | ||||
\(731\) | −1005.67 | + | 3095.13i | −0.0508837 | + | 0.156604i | ||||
\(732\) | −5198.21 | + | 15998.4i | −0.262474 | + | 0.807813i | ||||
\(733\) | −2779.70 | + | 2019.57i | −0.140069 | + | 0.101766i | −0.655613 | − | 0.755097i | \(-0.727590\pi\) |
0.515544 | + | 0.856863i | \(0.327590\pi\) | |||||||
\(734\) | 10872.4 | + | 7899.28i | 0.546742 | + | 0.397231i | ||||
\(735\) | −4711.81 | − | 14501.5i | −0.236459 | − | 0.727747i | ||||
\(736\) | −5687.97 | −0.284866 | ||||||||
\(737\) | 15264.8 | − | 11241.3i | 0.762937 | − | 0.561841i | ||||
\(738\) | 17224.6 | 0.859143 | ||||||||
\(739\) | −10383.5 | − | 31957.2i | −0.516866 | − | 1.59075i | −0.779861 | − | 0.625953i | \(-0.784710\pi\) |
0.262995 | − | 0.964797i | \(-0.415290\pi\) | |||||||
\(740\) | −10733.5 | − | 7798.37i | −0.533206 | − | 0.387397i | ||||
\(741\) | −6109.73 | + | 4438.98i | −0.302897 | + | 0.220067i | ||||
\(742\) | −174.114 | + | 535.867i | −0.00861444 | + | 0.0265125i | ||||
\(743\) | −368.875 | + | 1135.28i | −0.0182136 | + | 0.0560557i | −0.959750 | − | 0.280855i | \(-0.909382\pi\) |
0.941537 | + | 0.336911i | \(0.109382\pi\) | |||||||
\(744\) | −3799.20 | + | 2760.28i | −0.187211 | + | 0.136017i | ||||
\(745\) | 5419.66 | + | 3937.61i | 0.266525 | + | 0.193641i | ||||
\(746\) | 5323.97 | + | 16385.5i | 0.261293 | + | 0.804177i | ||||
\(747\) | 18279.4 | 0.895324 | ||||||||
\(748\) | 2955.12 | + | 2118.11i | 0.144452 | + | 0.103537i | ||||
\(749\) | −8603.54 | −0.419715 | ||||||||
\(750\) | −1977.01 | − | 6084.60i | −0.0962535 | − | 0.296238i | ||||
\(751\) | −19828.5 | − | 14406.2i | −0.963451 | − | 0.699988i | −0.00950152 | − | 0.999955i | \(-0.503024\pi\) |
−0.953950 | + | 0.299967i | \(0.903024\pi\) | |||||||
\(752\) | −6460.40 | + | 4693.76i | −0.313280 | + | 0.227611i | ||||
\(753\) | 13445.1 | − | 41379.9i | 0.650688 | − | 2.00261i | ||||
\(754\) | −4065.25 | + | 12511.5i | −0.196349 | + | 0.604302i | ||||
\(755\) | −344.399 | + | 250.221i | −0.0166013 | + | 0.0120615i | ||||
\(756\) | 3865.43 | + | 2808.40i | 0.185958 | + | 0.135107i | ||||
\(757\) | 3338.57 | + | 10275.0i | 0.160294 | + | 0.493333i | 0.998659 | − | 0.0517762i | \(-0.0164882\pi\) |
−0.838365 | + | 0.545109i | \(0.816488\pi\) | |||||||
\(758\) | 16018.2 | 0.767555 | ||||||||
\(759\) | −50657.0 | + | 325.918i | −2.42257 | + | 0.0155864i | ||||
\(760\) | −2620.49 | −0.125073 | ||||||||
\(761\) | 2526.49 | + | 7775.75i | 0.120349 | + | 0.370395i | 0.993025 | − | 0.117904i | \(-0.0376175\pi\) |
−0.872676 | + | 0.488299i | \(0.837617\pi\) | |||||||
\(762\) | 8814.12 | + | 6403.83i | 0.419031 | + | 0.304444i | ||||
\(763\) | −8907.88 | + | 6471.96i | −0.422657 | + | 0.307078i | ||||
\(764\) | −1661.52 | + | 5113.63i | −0.0786802 | + | 0.242153i | ||||
\(765\) | −3907.87 | + | 12027.2i | −0.184692 | + | 0.568424i | ||||
\(766\) | 12963.6 | − | 9418.61i | 0.611481 | − | 0.444267i | ||||
\(767\) | 1266.69 | + | 920.304i | 0.0596317 | + | 0.0433250i | ||||
\(768\) | −617.980 | − | 1901.95i | −0.0290357 | − | 0.0893627i | ||||
\(769\) | −28895.9 | −1.35502 | −0.677511 | − | 0.735513i | \(-0.736941\pi\) | ||||
−0.677511 | + | 0.735513i | \(0.736941\pi\) | |||||||
\(770\) | −7176.90 | + | 22581.5i | −0.335893 | + | 1.05686i | ||||
\(771\) | 46144.8 | 2.15547 | ||||||||
\(772\) | 5715.28 | + | 17589.8i | 0.266448 | + | 0.820041i | ||||
\(773\) | 14559.7 | + | 10578.3i | 0.677460 | + | 0.492203i | 0.872514 | − | 0.488589i | \(-0.162488\pi\) |
−0.195054 | + | 0.980792i | \(0.562488\pi\) | |||||||
\(774\) | 7191.17 | − | 5224.69i | 0.333955 | − | 0.242633i | ||||
\(775\) | 2265.19 | − | 6971.55i | 0.104991 | − | 0.323130i | ||||
\(776\) | 444.129 | − | 1366.89i | 0.0205455 | − | 0.0632325i | ||||
\(777\) | 30586.9 | − | 22222.7i | 1.41223 | − | 1.02604i | ||||
\(778\) | 12992.2 | + | 9439.36i | 0.598704 | + | 0.434984i | ||||
\(779\) | −1717.47 | − | 5285.83i | −0.0789919 | − | 0.243112i | ||||
\(780\) | 20524.0 | 0.942148 | ||||||||
\(781\) | 901.910 | + | 2716.21i | 0.0413225 | + | 0.124448i | ||||
\(782\) | 8857.06 | 0.405023 | ||||||||
\(783\) | 2533.30 | + | 7796.71i | 0.115623 | + | 0.355851i | ||||
\(784\) | −1693.62 | − | 1230.49i | −0.0771511 | − | 0.0560536i | ||||
\(785\) | −20805.3 | + | 15115.9i | −0.945954 | + | 0.687276i | ||||
\(786\) | −1254.84 | + | 3861.99i | −0.0569448 | + | 0.175258i | ||||
\(787\) | −4906.17 | + | 15099.6i | −0.222219 | + | 0.683918i | 0.776343 | + | 0.630310i | \(0.217072\pi\) |
−0.998562 | + | 0.0536084i | \(0.982928\pi\) | |||||||
\(788\) | −2150.98 | + | 1562.78i | −0.0972407 | + | 0.0706495i | ||||
\(789\) | −43314.9 | − | 31470.1i | −1.95444 | − | 1.41998i | ||||
\(790\) | −7122.81 | − | 21921.7i | −0.320782 | − | 0.987267i | ||||
\(791\) | 33470.8 | 1.50453 | ||||||||
\(792\) | −3129.39 | − | 9424.51i | −0.140401 | − | 0.422835i | ||||
\(793\) | −23702.5 | −1.06141 | ||||||||
\(794\) | −2740.98 | − | 8435.86i | −0.122511 | − | 0.377050i | ||||
\(795\) | 1220.19 | + | 886.523i | 0.0544350 | + | 0.0395494i | ||||
\(796\) | 9846.78 | − | 7154.10i | 0.438454 | − | 0.318556i | ||||
\(797\) | 5098.07 | − | 15690.2i | 0.226578 | − | 0.697336i | −0.771549 | − | 0.636170i | \(-0.780518\pi\) |
0.998128 | − | 0.0611668i | \(-0.0194822\pi\) | |||||||
\(798\) | 2307.59 | − | 7102.02i | 0.102365 | − | 0.315049i | ||||
\(799\) | 10059.9 | − | 7308.91i | 0.445422 | − | 0.323618i | ||||
\(800\) | 2525.45 | + | 1834.85i | 0.111610 | + | 0.0810895i | ||||
\(801\) | 7013.87 | + | 21586.5i | 0.309392 | + | 0.952210i | ||||
\(802\) | 7858.41 | 0.345998 | ||||||||
\(803\) | 12642.4 | − | 39778.2i | 0.555591 | − | 1.74812i | ||||
\(804\) | 16236.7 | 0.712221 | ||||||||
\(805\) | 17836.9 | + | 54896.4i | 0.780955 | + | 2.40353i | ||||
\(806\) | −5353.21 | − | 3889.33i | −0.233944 | − | 0.169970i | ||||
\(807\) | 6960.50 | − | 5057.10i | 0.303620 | − | 0.220593i | ||||
\(808\) | 1015.39 | − | 3125.06i | 0.0442097 | − | 0.136063i | ||||
\(809\) | −2812.97 | + | 8657.42i | −0.122248 | + | 0.376241i | −0.993390 | − | 0.114791i | \(-0.963380\pi\) |
0.871142 | + | 0.491032i | \(0.163380\pi\) | |||||||
\(810\) | −11827.6 | + | 8593.23i | −0.513060 | + | 0.372760i | ||||
\(811\) | −29590.8 | − | 21499.0i | −1.28123 | − | 0.930865i | −0.281636 | − | 0.959521i | \(-0.590877\pi\) |
−0.999589 | + | 0.0286567i | \(0.990877\pi\) | |||||||
\(812\) | −4019.74 | − | 12371.5i | −0.173726 | − | 0.534672i | ||||
\(813\) | 20089.6 | 0.866633 | ||||||||
\(814\) | −16222.6 | + | 104.374i | −0.698528 | + | 0.00449421i | ||||
\(815\) | 49501.7 | 2.12757 | ||||||||
\(816\) | 962.291 | + | 2961.63i | 0.0412830 | + | 0.127056i | ||||
\(817\) | −2320.36 | − | 1685.84i | −0.0993626 | − | 0.0721912i | ||||
\(818\) | −23565.4 | + | 17121.3i | −1.00727 | + | 0.731823i | ||||
\(819\) | −10076.8 | + | 31013.3i | −0.429930 | + | 1.32319i | ||||
\(820\) | −4667.51 | + | 14365.1i | −0.198776 | + | 0.611771i | ||||
\(821\) | 2948.23 | − | 2142.01i | 0.125328 | − | 0.0910558i | −0.523356 | − | 0.852114i | \(-0.675320\pi\) |
0.648683 | + | 0.761059i | \(0.275320\pi\) | |||||||
\(822\) | 26335.8 | + | 19134.0i | 1.11748 | + | 0.811894i | ||||
\(823\) | −5221.12 | − | 16068.9i | −0.221138 | − | 0.680593i | −0.998661 | − | 0.0517380i | \(-0.983524\pi\) |
0.777523 | − | 0.628855i | \(-0.216476\pi\) | |||||||
\(824\) | −10941.3 | −0.462570 | ||||||||
\(825\) | 22596.7 | + | 16196.4i | 0.953597 | + | 0.683499i | ||||
\(826\) | −1548.19 | −0.0652160 | ||||||||
\(827\) | −11983.1 | − | 36880.1i | −0.503860 | − | 1.55072i | −0.802678 | − | 0.596413i | \(-0.796592\pi\) |
0.298817 | − | 0.954310i | \(-0.403408\pi\) | |||||||
\(828\) | −19571.1 | − | 14219.3i | −0.821430 | − | 0.596804i | ||||
\(829\) | 10027.2 | − | 7285.20i | 0.420096 | − | 0.305218i | −0.357580 | − | 0.933882i | \(-0.616398\pi\) |
0.777677 | + | 0.628665i | \(0.216398\pi\) | |||||||
\(830\) | −4953.32 | + | 15244.8i | −0.207147 | + | 0.637534i | ||||
\(831\) | 17718.9 | − | 54533.1i | 0.739665 | − | 2.27645i | ||||
\(832\) | 2279.67 | − | 1656.28i | 0.0949920 | − | 0.0690157i | ||||
\(833\) | 2637.23 | + | 1916.06i | 0.109694 | + | 0.0796970i | ||||
\(834\) | 837.308 | + | 2576.97i | 0.0347645 | + | 0.106994i | ||||
\(835\) | −44987.1 | −1.86448 | ||||||||
\(836\) | −2580.13 | + | 1900.05i | −0.106741 | + | 0.0786061i | ||||
\(837\) | −4123.41 | −0.170282 | ||||||||
\(838\) | −2489.92 | − | 7663.18i | −0.102641 | − | 0.315895i | ||||
\(839\) | −19872.6 | − | 14438.3i | −0.817732 | − | 0.594117i | 0.0983299 | − | 0.995154i | \(-0.468650\pi\) |
−0.916062 | + | 0.401037i | \(0.868650\pi\) | |||||||
\(840\) | −16418.4 | + | 11928.6i | −0.674390 | + | 0.489973i | ||||
\(841\) | −639.584 | + | 1968.44i | −0.0262243 | + | 0.0807100i | ||||
\(842\) | 5270.35 | − | 16220.5i | 0.215711 | − | 0.663889i | ||||
\(843\) | −47354.6 | + | 34405.1i | −1.93473 | + | 1.40566i | ||||
\(844\) | −8386.62 | − | 6093.24i | −0.342037 | − | 0.248505i | ||||
\(845\) | −1191.61 | − | 3667.40i | −0.0485120 | − | 0.149305i | ||||
\(846\) | −33962.8 | −1.38022 | ||||||||
\(847\) | 9306.97 | + | 27437.5i | 0.377557 | + | 1.11306i | ||||
\(848\) | 207.074 | 0.00838554 | ||||||||
\(849\) | 15676.7 | + | 48247.8i | 0.633712 | + | 1.95036i | ||||
\(850\) | −3932.52 | − | 2857.14i | −0.158687 | − | 0.115293i | ||||
\(851\) | −31972.4 | + | 23229.3i | −1.28790 | + | 0.935712i | ||||
\(852\) | −757.495 | + | 2331.33i | −0.0304593 | + | 0.0937442i | ||||
\(853\) | −3772.37 | + | 11610.1i | −0.151422 | + | 0.466030i | −0.997781 | − | 0.0665834i | \(-0.978790\pi\) |
0.846358 | + | 0.532614i | \(0.178790\pi\) | |||||||
\(854\) | 18961.1 | − | 13776.0i | 0.759759 | − | 0.551997i | ||||
\(855\) | −9016.57 | − | 6550.92i | −0.360655 | − | 0.262031i | ||||
\(856\) | 977.089 | + | 3007.17i | 0.0390143 | + | 0.120074i | ||||
\(857\) | 7281.72 | 0.290244 | 0.145122 | − | 0.989414i | \(-0.453643\pi\) | ||||
0.145122 | + | 0.989414i | \(0.453643\pi\) | |||||||
\(858\) | 20207.8 | − | 14881.4i | 0.804060 | − | 0.592125i | ||||
\(859\) | 5927.39 | 0.235437 | 0.117718 | − | 0.993047i | \(-0.462442\pi\) | ||||
0.117718 | + | 0.993047i | \(0.462442\pi\) | |||||||
\(860\) | 2408.67 | + | 7413.13i | 0.0955058 | + | 0.293937i | ||||
\(861\) | −34822.0 | − | 25299.7i | −1.37832 | − | 1.00141i | ||||
\(862\) | 21706.3 | − | 15770.5i | 0.857679 | − | 0.623140i | ||||
\(863\) | −11916.3 | + | 36674.5i | −0.470028 | + | 1.44660i | 0.382518 | + | 0.923948i | \(0.375057\pi\) |
−0.852547 | + | 0.522651i | \(0.824943\pi\) | |||||||
\(864\) | 542.622 | − | 1670.02i | 0.0213662 | − | 0.0657583i | ||||
\(865\) | 26665.4 | − | 19373.6i | 1.04815 | − | 0.761527i | ||||
\(866\) | 6686.22 | + | 4857.82i | 0.262364 | + | 0.190618i | ||||
\(867\) | 10361.5 | + | 31889.3i | 0.405875 | + | 1.24916i | ||||
\(868\) | 6542.86 | 0.255852 | ||||||||
\(869\) | −22908.0 | − | 16419.5i | −0.894247 | − | 0.640959i | ||||
\(870\) | −34820.6 | −1.35693 | ||||||||
\(871\) | 7069.75 | + | 21758.4i | 0.275028 | + | 0.846449i | ||||
\(872\) | 3273.78 | + | 2378.54i | 0.127138 | + | 0.0923709i | ||||
\(873\) | 4945.22 | − | 3592.91i | 0.191719 | − | 0.139292i | ||||
\(874\) | −2412.11 | + | 7423.72i | −0.0933535 | + | 0.287312i | ||||
\(875\) | −2754.49 | + | 8477.46i | −0.106422 | + | 0.327532i | ||||
\(876\) | 28921.6 | − | 21012.8i | 1.11549 | − | 0.810451i | ||||
\(877\) | −23067.2 | − | 16759.3i | −0.888170 | − | 0.645293i | 0.0472301 | − | 0.998884i | \(-0.484961\pi\) |
−0.935400 | + | 0.353591i | \(0.884961\pi\) | |||||||
\(878\) | −2075.64 | − | 6388.16i | −0.0797830 | − | 0.245547i | ||||
\(879\) | 20973.7 | 0.804809 | ||||||||
\(880\) | 8707.92 | − | 56.0253i | 0.333573 | − | 0.00214615i | ||||
\(881\) | 40747.6 | 1.55826 | 0.779128 | − | 0.626865i | \(-0.215662\pi\) | ||||
0.779128 | + | 0.626865i | \(0.215662\pi\) | |||||||
\(882\) | −2751.33 | − | 8467.72i | −0.105036 | − | 0.323268i | ||||
\(883\) | 2908.89 | + | 2113.43i | 0.110863 | + | 0.0805467i | 0.641835 | − | 0.766842i | \(-0.278173\pi\) |
−0.530972 | + | 0.847389i | \(0.678173\pi\) | |||||||
\(884\) | −3549.80 | + | 2579.08i | −0.135060 | + | 0.0981266i | ||||
\(885\) | −1280.64 | + | 3941.41i | −0.0486421 | + | 0.149705i | ||||
\(886\) | 273.016 | − | 840.257i | 0.0103523 | − | 0.0318612i | ||||
\(887\) | 6241.81 | − | 4534.94i | 0.236279 | − | 0.171667i | −0.463345 | − | 0.886178i | \(-0.653351\pi\) |
0.699624 | + | 0.714511i | \(0.253351\pi\) | |||||||
\(888\) | −11241.1 | − | 8167.16i | −0.424806 | − | 0.308640i | ||||
\(889\) | −4690.70 | − | 14436.5i | −0.176964 | − | 0.544639i | ||||
\(890\) | −19903.5 | −0.749624 | ||||||||
\(891\) | −5414.64 | + | 17036.7i | −0.203588 | + | 0.640575i | ||||
\(892\) | 10548.8 | 0.395965 | ||||||||
\(893\) | 3386.43 | + | 10422.4i | 0.126901 | + | 0.390561i | ||||
\(894\) | 5675.96 | + | 4123.82i | 0.212341 | + | 0.154274i | ||||
\(895\) | 27418.8 | − | 19920.9i | 1.02403 | − | 0.744003i | ||||
\(896\) | −861.009 | + | 2649.91i | −0.0321030 | + | 0.0988029i | ||||
\(897\) | 18891.9 | − | 58143.4i | 0.703214 | − | 2.16427i | ||||
\(898\) | −660.932 | + | 480.195i | −0.0245608 | + | 0.0178445i | ||||
\(899\) | 9082.17 | + | 6598.58i | 0.336938 | + | 0.244800i | ||||
\(900\) | 4102.65 | + | 12626.7i | 0.151950 | + | 0.467654i | ||||
\(901\) | −322.446 | −0.0119226 | ||||||||
\(902\) | 5820.18 | + | 17528.2i | 0.214846 | + | 0.647033i | ||||
\(903\) | −22212.0 | −0.818571 | ||||||||
\(904\) | −3801.21 | − | 11698.9i | −0.139852 | − | 0.430421i | ||||
\(905\) | 7536.32 | + | 5475.46i | 0.276813 | + | 0.201117i | ||||
\(906\) | −360.686 | + | 262.054i | −0.0132263 | + | 0.00960944i | ||||
\(907\) | −10418.1 | + | 32063.6i | −0.381398 | + | 1.17382i | 0.557662 | + | 0.830068i | \(0.311698\pi\) |
−0.939060 | + | 0.343753i | \(0.888302\pi\) | |||||||
\(908\) | 309.845 | − | 953.605i | 0.0113244 | − | 0.0348530i | ||||
\(909\) | 11306.1 | − | 8214.33i | 0.412539 | − | 0.299727i | ||||
\(910\) | −23134.1 | − | 16807.9i | −0.842733 | − | 0.612282i | ||||
\(911\) | 4644.75 | + | 14295.1i | 0.168922 | + | 0.519887i | 0.999304 | − | 0.0373070i | \(-0.0118780\pi\) |
−0.830382 | + | 0.557194i | \(0.811878\pi\) | |||||||
\(912\) | −2744.42 | −0.0996455 | ||||||||
\(913\) | 6176.57 | + | 18601.5i | 0.223894 | + | 0.674281i | ||||
\(914\) | −3045.69 | −0.110222 | ||||||||
\(915\) | −19386.9 | − | 59666.7i | −0.700449 | − | 2.15576i | ||||
\(916\) | −5822.70 | − | 4230.44i | −0.210030 | − | 0.152596i | ||||
\(917\) | 4577.16 | − | 3325.50i | 0.164832 | − | 0.119758i | ||||
\(918\) | −844.947 | + | 2600.48i | −0.0303784 | + | 0.0934952i | ||||
\(919\) | −5281.31 | + | 16254.2i | −0.189570 | + | 0.583435i | −0.999997 | − | 0.00240379i | \(-0.999235\pi\) |
0.810428 | + | 0.585839i | \(0.199235\pi\) | |||||||
\(920\) | 17162.1 | − | 12469.0i | 0.615018 | − | 0.446837i | ||||
\(921\) | 52655.2 | + | 38256.3i | 1.88387 | + | 1.36871i | ||||
\(922\) | 8566.79 | + | 26365.9i | 0.306000 | + | 0.941771i | ||||
\(923\) | −3453.98 | −0.123173 | ||||||||
\(924\) | −7516.30 | + | 23649.4i | −0.267606 | + | 0.842002i | ||||
\(925\) | 21689.1 | 0.770955 | ||||||||
\(926\) | 4018.62 | + | 12368.0i | 0.142613 | + | 0.438919i | ||||
\(927\) | −37646.7 | − | 27351.9i | −1.33385 | − | 0.969099i | ||||
\(928\) | −3867.65 | + | 2810.01i | −0.136812 | + | 0.0994001i | ||||
\(929\) | 4066.74 | − | 12516.1i | 0.143623 | − | 0.442025i | −0.853209 | − | 0.521570i | \(-0.825347\pi\) |
0.996831 | + | 0.0795446i | \(0.0253466\pi\) | |||||||
\(930\) | 5412.16 | − | 16656.9i | 0.190830 | − | 0.587314i | ||||
\(931\) | −2324.20 | + | 1688.63i | −0.0818182 | + | 0.0594444i | ||||
\(932\) | −10292.2 | − | 7477.75i | −0.361731 | − | 0.262813i | ||||
\(933\) | 12119.0 | + | 37298.6i | 0.425252 | + | 1.30879i | ||||
\(934\) | −847.946 | −0.0297063 | ||||||||
\(935\) | −13559.6 | + | 87.2401i | −0.474274 | + | 0.00305140i | ||||
\(936\) | 11984.4 | 0.418506 | ||||||||
\(937\) | 1253.46 | + | 3857.76i | 0.0437021 | + | 0.134501i | 0.970527 | − | 0.240993i | \(-0.0774731\pi\) |
−0.926825 | + | 0.375494i | \(0.877473\pi\) | |||||||
\(938\) | −18301.7 | − | 13296.9i | −0.637068 | − | 0.462857i | ||||
\(939\) | 19099.2 | − | 13876.4i | 0.663768 | − | 0.482256i | ||||
\(940\) | 9203.20 | − | 28324.5i | 0.319335 | − | 0.982813i | ||||
\(941\) | 10320.4 | − | 31763.0i | 0.357531 | − | 1.10037i | −0.596996 | − | 0.802244i | \(-0.703639\pi\) |
0.954527 | − | 0.298123i | \(-0.0963607\pi\) | |||||||
\(942\) | −21789.2 | + | 15830.8i | −0.753643 | + | 0.547553i | ||||
\(943\) | 36399.3 | + | 26445.7i | 1.25697 | + | 0.913245i | ||||
\(944\) | 175.825 | + | 541.134i | 0.00606209 | + | 0.0186572i | ||||
\(945\) | −17819.5 | −0.613405 | ||||||||
\(946\) | 7746.64 | + | 5552.47i | 0.266242 | + | 0.190831i | ||||
\(947\) | 25660.8 | 0.880533 | 0.440267 | − | 0.897867i | \(-0.354884\pi\) | ||||
0.440267 | + | 0.897867i | \(0.354884\pi\) | |||||||
\(948\) | −7459.65 | − | 22958.4i | −0.255568 | − | 0.786557i | ||||
\(949\) | 40751.6 | + | 29607.8i | 1.39394 | + | 1.01276i | ||||
\(950\) | 3465.74 | − | 2518.01i | 0.118362 | − | 0.0859948i | ||||
\(951\) | 25443.7 | − | 78307.8i | 0.867581 | − | 2.67014i | ||||
\(952\) | 1340.73 | − | 4126.33i | 0.0456441 | − | 0.140478i | ||||
\(953\) | −39522.7 | + | 28714.9i | −1.34341 | + | 0.976042i | −0.344096 | + | 0.938935i | \(0.611815\pi\) |
−0.999311 | + | 0.0371079i | \(0.988185\pi\) | |||||||
\(954\) | 712.498 | + | 517.660i | 0.0241803 | + | 0.0175680i | ||||
\(955\) | −6196.70 | − | 19071.5i | −0.209969 | − | 0.646218i | ||||
\(956\) | 20055.2 | 0.678485 | ||||||||
\(957\) | −34284.3 | + | 25247.6i | −1.15805 | + | 0.852809i | ||||
\(958\) | −9114.68 | −0.307392 | ||||||||
\(959\) | −14015.4 | − | 43134.8i | −0.471929 | − | 1.45245i | ||||
\(960\) | 6033.98 | + | 4383.95i | 0.202860 | + | 0.147387i | ||||
\(961\) | 19533.3 | − | 14191.7i | 0.655677 | − | 0.476377i | ||||
\(962\) | 6050.03 | − | 18620.1i | 0.202766 | − | 0.624049i | ||||
\(963\) | −4155.61 | + | 12789.7i | −0.139058 | + | 0.427976i | ||||
\(964\) | −19656.3 | + | 14281.1i | −0.656728 | + | 0.477141i | ||||
\(965\) | −55804.3 | − | 40544.2i | −1.86156 | − | 1.35250i | ||||
\(966\) | 18680.4 | + | 57492.5i | 0.622188 | + | 1.91490i | ||||
\(967\) | −48861.8 | −1.62491 | −0.812456 | − | 0.583023i | \(-0.801870\pi\) | ||||
−0.812456 | + | 0.583023i | \(0.801870\pi\) | |||||||
\(968\) | 8533.17 | − | 6369.06i | 0.283333 | − | 0.211477i | ||||
\(969\) | 4273.48 | 0.141676 | ||||||||
\(970\) | 1656.39 | + | 5097.85i | 0.0548284 | + | 0.168745i | ||||
\(971\) | −28224.6 | − | 20506.4i | −0.932822 | − | 0.677735i | 0.0138603 | − | 0.999904i | \(-0.495588\pi\) |
−0.946682 | + | 0.322169i | \(0.895588\pi\) | |||||||
\(972\) | −17181.4 | + | 12483.0i | −0.566970 | + | 0.411928i | ||||
\(973\) | 1166.59 | − | 3590.40i | 0.0384370 | − | 0.118297i | ||||
\(974\) | 4146.34 | − | 12761.1i | 0.136404 | − | 0.419808i | ||||
\(975\) | −27144.1 | + | 19721.3i | −0.891596 | + | 0.647782i | ||||
\(976\) | −6968.46 | − | 5062.88i | −0.228540 | − | 0.166044i | ||||
\(977\) | −5875.16 | − | 18081.9i | −0.192388 | − | 0.592109i | −0.999997 | − | 0.00239112i | \(-0.999239\pi\) |
0.807609 | − | 0.589718i | \(-0.200761\pi\) | |||||||
\(978\) | 51842.7 | 1.69504 | ||||||||
\(979\) | −19596.9 | + | 14431.5i | −0.639754 | + | 0.471126i | ||||
\(980\) | 7807.52 | 0.254492 | ||||||||
\(981\) | 5318.33 | + | 16368.1i | 0.173090 | + | 0.532716i | ||||
\(982\) | 23506.2 | + | 17078.3i | 0.763864 | + | 0.554979i | ||||
\(983\) | 6025.47 | − | 4377.76i | 0.195506 | − | 0.142044i | −0.485726 | − | 0.874111i | \(-0.661445\pi\) |
0.681232 | + | 0.732068i | \(0.261445\pi\) | |||||||
\(984\) | −4888.24 | + | 15044.5i | −0.158365 | + | 0.487399i | ||||
\(985\) | 3064.20 | − | 9430.63i | 0.0991202 | − | 0.305061i | ||||
\(986\) | 6022.54 | − | 4375.63i | 0.194520 | − | 0.141327i | ||||
\(987\) | 68660.5 | + | 49884.8i | 2.21427 | + | 1.60876i | ||||
\(988\) | −1194.96 | − | 3677.72i | −0.0384786 | − | 0.118425i | ||||
\(989\) | 23218.2 | 0.746506 | ||||||||
\(990\) | 30102.2 | + | 21576.0i | 0.966376 | + | 0.692658i | ||||
\(991\) | 5313.37 | 0.170318 | 0.0851588 | − | 0.996367i | \(-0.472860\pi\) | ||||
0.0851588 | + | 0.996367i | \(0.472860\pi\) | |||||||
\(992\) | −743.061 | − | 2286.91i | −0.0237825 | − | 0.0731949i | ||||
\(993\) | 1958.35 | + | 1422.82i | 0.0625844 | + | 0.0454702i | ||||
\(994\) | 2763.05 | − | 2007.47i | 0.0881676 | − | 0.0640575i | ||||
\(995\) | −14027.3 | + | 43171.5i | −0.446929 | + | 1.37551i | ||||
\(996\) | −5187.57 | + | 15965.7i | −0.165035 | + | 0.507924i | ||||
\(997\) | −43301.8 | + | 31460.6i | −1.37551 | + | 0.999365i | −0.378223 | + | 0.925714i | \(0.623465\pi\) |
−0.997284 | + | 0.0736504i | \(0.976535\pi\) | |||||||
\(998\) | −15694.2 | − | 11402.5i | −0.497786 | − | 0.361663i | ||||
\(999\) | −3770.14 | − | 11603.3i | −0.119401 | − | 0.367480i |
(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 | 22.4.c.b.5.2 | ✓ | 8 | |
3.2 | odd | 2 | 198.4.f.d.181.1 | 8 | |||
4.3 | odd | 2 | 176.4.m.b.49.1 | 8 | |||
11.2 | odd | 10 | 242.4.c.q.9.2 | 8 | |||
11.3 | even | 5 | 242.4.a.n.1.1 | 4 | |||
11.4 | even | 5 | 242.4.c.r.3.1 | 8 | |||
11.5 | even | 5 | 242.4.c.r.81.1 | 8 | |||
11.6 | odd | 10 | 242.4.c.n.81.1 | 8 | |||
11.7 | odd | 10 | 242.4.c.n.3.1 | 8 | |||
11.8 | odd | 10 | 242.4.a.o.1.1 | 4 | |||
11.9 | even | 5 | inner | 22.4.c.b.9.2 | yes | 8 | |
11.10 | odd | 2 | 242.4.c.q.27.2 | 8 | |||
33.8 | even | 10 | 2178.4.a.bt.1.1 | 4 | |||
33.14 | odd | 10 | 2178.4.a.by.1.1 | 4 | |||
33.20 | odd | 10 | 198.4.f.d.163.1 | 8 | |||
44.3 | odd | 10 | 1936.4.a.bn.1.4 | 4 | |||
44.19 | even | 10 | 1936.4.a.bm.1.4 | 4 | |||
44.31 | odd | 10 | 176.4.m.b.97.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
22.4.c.b.5.2 | ✓ | 8 | 1.1 | even | 1 | trivial | |
22.4.c.b.9.2 | yes | 8 | 11.9 | even | 5 | inner | |
176.4.m.b.49.1 | 8 | 4.3 | odd | 2 | |||
176.4.m.b.97.1 | 8 | 44.31 | odd | 10 | |||
198.4.f.d.163.1 | 8 | 33.20 | odd | 10 | |||
198.4.f.d.181.1 | 8 | 3.2 | odd | 2 | |||
242.4.a.n.1.1 | 4 | 11.3 | even | 5 | |||
242.4.a.o.1.1 | 4 | 11.8 | odd | 10 | |||
242.4.c.n.3.1 | 8 | 11.7 | odd | 10 | |||
242.4.c.n.81.1 | 8 | 11.6 | odd | 10 | |||
242.4.c.q.9.2 | 8 | 11.2 | odd | 10 | |||
242.4.c.q.27.2 | 8 | 11.10 | odd | 2 | |||
242.4.c.r.3.1 | 8 | 11.4 | even | 5 | |||
242.4.c.r.81.1 | 8 | 11.5 | even | 5 | |||
1936.4.a.bm.1.4 | 4 | 44.19 | even | 10 | |||
1936.4.a.bn.1.4 | 4 | 44.3 | odd | 10 | |||
2178.4.a.bt.1.1 | 4 | 33.8 | even | 10 | |||
2178.4.a.by.1.1 | 4 | 33.14 | odd | 10 |