Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [333,3,Mod(154,333)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(333, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("333.154");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 333 = 3^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 333.i (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.07359280320\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} + 18 x^{10} + 8 x^{9} + 42 x^{8} - 268 x^{7} + 884 x^{6} + 704 x^{5} + 761 x^{4} + \cdots + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | no (minimal twist has level 37) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 253.4 | ||
Root | \(-0.0496173 - 0.0496173i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 333.253 |
Dual form | 333.3.i.a.154.4 |
$q$-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 \(\left(\mathbb{Z}/333\mathbb{Z}\right)^\times\).
\(n\) | \(38\) | \(298\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.04962 | + | 1.04962i | 0.524809 | + | 0.524809i | 0.919020 | − | 0.394211i | \(-0.128982\pi\) |
−0.394211 | + | 0.919020i | \(0.628982\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | − | 1.79661i | − | 0.449152i | ||||||
\(5\) | −5.26886 | + | 5.26886i | −1.05377 | + | 1.05377i | −0.0553026 | + | 0.998470i | \(0.517612\pi\) |
−0.998470 | + | 0.0553026i | \(0.982388\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −5.54265 | −0.791807 | −0.395903 | − | 0.918292i | \(-0.629568\pi\) | ||||
−0.395903 | + | 0.918292i | \(0.629568\pi\) | |||||||
\(8\) | 6.08422 | − | 6.08422i | 0.760527 | − | 0.760527i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −11.0606 | −1.10606 | ||||||||
\(11\) | − | 18.1924i | − | 1.65385i | −0.562310 | − | 0.826927i | \(-0.690087\pi\) | ||
0.562310 | − | 0.826927i | \(-0.309913\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 7.75987 | − | 7.75987i | 0.596913 | − | 0.596913i | −0.342577 | − | 0.939490i | \(-0.611300\pi\) |
0.939490 | + | 0.342577i | \(0.111300\pi\) | |||||||
\(14\) | −5.81766 | − | 5.81766i | −0.415547 | − | 0.415547i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 5.58578 | 0.349111 | ||||||||
\(17\) | 18.1161 | − | 18.1161i | 1.06565 | − | 1.06565i | 0.0679669 | − | 0.997688i | \(-0.478349\pi\) |
0.997688 | − | 0.0679669i | \(-0.0216512\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.37917 | − | 2.37917i | 0.125219 | − | 0.125219i | −0.641720 | − | 0.766939i | \(-0.721779\pi\) |
0.766939 | + | 0.641720i | \(0.221779\pi\) | |||||||
\(20\) | 9.46607 | + | 9.46607i | 0.473304 | + | 0.473304i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 19.0950 | − | 19.0950i | 0.867957 | − | 0.867957i | ||||
\(23\) | −16.3967 | + | 16.3967i | −0.712901 | + | 0.712901i | −0.967141 | − | 0.254240i | \(-0.918175\pi\) |
0.254240 | + | 0.967141i | \(0.418175\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | − | 30.5218i | − | 1.22087i | ||||||
\(26\) | 16.2898 | 0.626530 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 9.95796i | 0.355641i | ||||||||
\(29\) | −20.1686 | − | 20.1686i | −0.695469 | − | 0.695469i | 0.267960 | − | 0.963430i | \(-0.413650\pi\) |
−0.963430 | + | 0.267960i | \(0.913650\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −10.4372 | − | 10.4372i | −0.336684 | − | 0.336684i | 0.518434 | − | 0.855118i | \(-0.326515\pi\) |
−0.855118 | + | 0.518434i | \(0.826515\pi\) | |||||||
\(32\) | −18.4739 | − | 18.4739i | −0.577311 | − | 0.577311i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 38.0300 | 1.11853 | ||||||||
\(35\) | 29.2034 | − | 29.2034i | 0.834384 | − | 0.834384i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −32.1547 | − | 18.3051i | −0.869045 | − | 0.494732i | ||||
\(38\) | 4.99444 | 0.131433 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 64.1138i | 1.60285i | ||||||||
\(41\) | 2.51067i | 0.0612359i | 0.999531 | + | 0.0306180i | \(0.00974753\pi\) | ||||
−0.999531 | + | 0.0306180i | \(0.990252\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −19.0228 | + | 19.0228i | −0.442391 | + | 0.442391i | −0.892815 | − | 0.450424i | \(-0.851273\pi\) |
0.450424 | + | 0.892815i | \(0.351273\pi\) | |||||||
\(44\) | −32.6846 | −0.742831 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −34.4206 | −0.748273 | ||||||||
\(47\) | 33.0588 | 0.703378 | 0.351689 | − | 0.936117i | \(-0.385607\pi\) | ||||
0.351689 | + | 0.936117i | \(0.385607\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −18.2791 | −0.373042 | ||||||||
\(50\) | 32.0362 | − | 32.0362i | 0.640724 | − | 0.640724i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −13.9414 | − | 13.9414i | −0.268104 | − | 0.268104i | ||||
\(53\) | 39.9577 | 0.753918 | 0.376959 | − | 0.926230i | \(-0.376970\pi\) | ||||
0.376959 | + | 0.926230i | \(0.376970\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 95.8532 | + | 95.8532i | 1.74278 | + | 1.74278i | ||||
\(56\) | −33.7227 | + | 33.7227i | −0.602191 | + | 0.602191i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | − | 42.3387i | − | 0.729977i | ||||||
\(59\) | −46.2148 | + | 46.2148i | −0.783303 | + | 0.783303i | −0.980387 | − | 0.197084i | \(-0.936853\pi\) |
0.197084 | + | 0.980387i | \(0.436853\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.22864 | + | 3.22864i | 0.0529286 | + | 0.0529286i | 0.733076 | − | 0.680147i | \(-0.238084\pi\) |
−0.680147 | + | 0.733076i | \(0.738084\pi\) | |||||||
\(62\) | − | 21.9101i | − | 0.353389i | ||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 61.1243i | − | 0.955066i | ||||||
\(65\) | 81.7713i | 1.25802i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 44.2028i | 0.659743i | 0.944026 | + | 0.329872i | \(0.107005\pi\) | ||||
−0.944026 | + | 0.329872i | \(0.892995\pi\) | |||||||
\(68\) | −32.5476 | − | 32.5476i | −0.478641 | − | 0.478641i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 61.3049 | 0.875784 | ||||||||
\(71\) | 92.4046 | 1.30147 | 0.650736 | − | 0.759304i | \(-0.274460\pi\) | ||||
0.650736 | + | 0.759304i | \(0.274460\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 87.3712i | − | 1.19687i | −0.801173 | − | 0.598433i | \(-0.795790\pi\) | ||
0.801173 | − | 0.598433i | \(-0.204210\pi\) | |||||||
\(74\) | −14.5368 | − | 52.9635i | −0.196443 | − | 0.715722i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.27443 | − | 4.27443i | −0.0562425 | − | 0.0562425i | ||||
\(77\) | 100.834i | 1.30953i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 39.7257 | − | 39.7257i | 0.502857 | − | 0.502857i | −0.409467 | − | 0.912325i | \(-0.634285\pi\) |
0.912325 | + | 0.409467i | \(0.134285\pi\) | |||||||
\(80\) | −29.4307 | + | 29.4307i | −0.367883 | + | 0.367883i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.63525 | + | 2.63525i | −0.0321372 | + | 0.0321372i | ||||
\(83\) | 112.357 | 1.35370 | 0.676849 | − | 0.736122i | \(-0.263345\pi\) | ||||
0.676849 | + | 0.736122i | \(0.263345\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 190.903i | 2.24591i | ||||||||
\(86\) | −39.9334 | −0.464342 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −110.686 | − | 110.686i | −1.25780 | − | 1.25780i | ||||
\(89\) | −113.101 | − | 113.101i | −1.27080 | − | 1.27080i | −0.945671 | − | 0.325124i | \(-0.894594\pi\) |
−0.325124 | − | 0.945671i | \(-0.605406\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −43.0102 | + | 43.0102i | −0.472639 | + | 0.472639i | ||||
\(92\) | 29.4585 | + | 29.4585i | 0.320201 | + | 0.320201i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 34.6991 | + | 34.6991i | 0.369139 | + | 0.369139i | ||||
\(95\) | 25.0710i | 0.263906i | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.42063 | + | 6.42063i | −0.0661921 | + | 0.0661921i | −0.739428 | − | 0.673236i | \(-0.764904\pi\) |
0.673236 | + | 0.739428i | \(0.264904\pi\) | |||||||
\(98\) | −19.1860 | − | 19.1860i | −0.195776 | − | 0.195776i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −54.8357 | −0.548357 | ||||||||
\(101\) | 72.9137i | 0.721918i | 0.932582 | + | 0.360959i | \(0.117551\pi\) | ||||
−0.932582 | + | 0.360959i | \(0.882449\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 59.4600 | + | 59.4600i | 0.577282 | + | 0.577282i | 0.934153 | − | 0.356872i | \(-0.116157\pi\) |
−0.356872 | + | 0.934153i | \(0.616157\pi\) | |||||||
\(104\) | − | 94.4255i | − | 0.907937i | ||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 41.9402 | + | 41.9402i | 0.395663 | + | 0.395663i | ||||
\(107\) | −64.2881 | −0.600824 | −0.300412 | − | 0.953810i | \(-0.597124\pi\) | ||||
−0.300412 | + | 0.953810i | \(0.597124\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −25.6002 | + | 25.6002i | −0.234864 | + | 0.234864i | −0.814720 | − | 0.579855i | \(-0.803109\pi\) |
0.579855 | + | 0.814720i | \(0.303109\pi\) | |||||||
\(110\) | 201.218i | 1.82926i | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −30.9600 | −0.276428 | ||||||||
\(113\) | −55.8577 | − | 55.8577i | −0.494316 | − | 0.494316i | 0.415347 | − | 0.909663i | \(-0.363660\pi\) |
−0.909663 | + | 0.415347i | \(0.863660\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | − | 172.784i | − | 1.50247i | ||||||
\(116\) | −36.2351 | + | 36.2351i | −0.312371 | + | 0.312371i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −97.0158 | −0.822168 | ||||||||
\(119\) | −100.411 | + | 100.411i | −0.843792 | + | 0.843792i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −209.963 | −1.73523 | ||||||||
\(122\) | 6.77768i | 0.0555547i | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −18.7515 | + | 18.7515i | −0.151222 | + | 0.151222i | ||||
\(125\) | 29.0936 | + | 29.0936i | 0.232749 | + | 0.232749i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 132.802 | 1.04568 | 0.522841 | − | 0.852430i | \(-0.324872\pi\) | ||||
0.522841 | + | 0.852430i | \(0.324872\pi\) | |||||||
\(128\) | −9.73872 | + | 9.73872i | −0.0760838 | + | 0.0760838i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −85.8286 | + | 85.8286i | −0.660220 | + | 0.660220i | ||||
\(131\) | 90.8033 | + | 90.8033i | 0.693155 | + | 0.693155i | 0.962925 | − | 0.269770i | \(-0.0869476\pi\) |
−0.269770 | + | 0.962925i | \(0.586948\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −13.1869 | + | 13.1869i | −0.0991496 | + | 0.0991496i | ||||
\(134\) | −46.3960 | + | 46.3960i | −0.346239 | + | 0.346239i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | − | 220.445i | − | 1.62092i | ||||||
\(137\) | −15.1210 | −0.110372 | −0.0551860 | − | 0.998476i | \(-0.517575\pi\) | ||||
−0.0551860 | + | 0.998476i | \(0.517575\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 218.618i | − | 1.57279i | −0.617724 | − | 0.786395i | \(-0.711945\pi\) | ||
0.617724 | − | 0.786395i | \(-0.288055\pi\) | |||||||
\(140\) | −52.4671 | − | 52.4671i | −0.374765 | − | 0.374765i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 96.9894 | + | 96.9894i | 0.683024 | + | 0.683024i | ||||
\(143\) | −141.170 | − | 141.170i | −0.987206 | − | 0.987206i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 212.531 | 1.46573 | ||||||||
\(146\) | 91.7063 | − | 91.7063i | 0.628126 | − | 0.628126i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −32.8871 | + | 57.7693i | −0.222210 | + | 0.390333i | ||||
\(149\) | 224.519 | 1.50684 | 0.753421 | − | 0.657539i | \(-0.228402\pi\) | ||||
0.753421 | + | 0.657539i | \(0.228402\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 220.465i | 1.46004i | 0.683428 | + | 0.730018i | \(0.260488\pi\) | ||||
−0.683428 | + | 0.730018i | \(0.739512\pi\) | |||||||
\(152\) | − | 28.9508i | − | 0.190466i | ||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −105.837 | + | 105.837i | −0.687254 | + | 0.687254i | ||||
\(155\) | 109.984 | 0.709576 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 82.7157 | 0.526851 | 0.263426 | − | 0.964680i | \(-0.415148\pi\) | ||||
0.263426 | + | 0.964680i | \(0.415148\pi\) | |||||||
\(158\) | 83.3936 | 0.527808 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 194.673 | 1.21671 | ||||||||
\(161\) | 90.8812 | − | 90.8812i | 0.564480 | − | 0.564480i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −139.231 | − | 139.231i | −0.854180 | − | 0.854180i | 0.136465 | − | 0.990645i | \(-0.456426\pi\) |
−0.990645 | + | 0.136465i | \(0.956426\pi\) | |||||||
\(164\) | 4.51069 | 0.0275042 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 117.932 | + | 117.932i | 0.710433 | + | 0.710433i | ||||
\(167\) | −75.9417 | + | 75.9417i | −0.454741 | + | 0.454741i | −0.896924 | − | 0.442184i | \(-0.854204\pi\) |
0.442184 | + | 0.896924i | \(0.354204\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 48.5690i | 0.287390i | ||||||||
\(170\) | −200.375 | + | 200.375i | −1.17868 | + | 1.17868i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 34.1766 | + | 34.1766i | 0.198701 | + | 0.198701i | ||||
\(173\) | − | 79.1788i | − | 0.457681i | −0.973464 | − | 0.228841i | \(-0.926507\pi\) | ||
0.973464 | − | 0.228841i | \(-0.0734935\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 169.171i | 0.966694i | ||||||||
\(176\) | − | 101.619i | − | 0.577378i | ||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | − | 237.425i | − | 1.33385i | ||||||
\(179\) | 122.752 | + | 122.752i | 0.685767 | + | 0.685767i | 0.961293 | − | 0.275527i | \(-0.0888522\pi\) |
−0.275527 | + | 0.961293i | \(0.588852\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 136.182 | 0.752387 | 0.376193 | − | 0.926541i | \(-0.377233\pi\) | ||||
0.376193 | + | 0.926541i | \(0.377233\pi\) | |||||||
\(182\) | −90.2885 | −0.496091 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 199.523i | 1.08436i | ||||||||
\(185\) | 265.866 | − | 72.9715i | 1.43711 | − | 0.394441i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −329.576 | − | 329.576i | −1.76244 | − | 1.76244i | ||||
\(188\) | − | 59.3936i | − | 0.315924i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −26.3150 | + | 26.3150i | −0.138500 | + | 0.138500i | ||||
\(191\) | −124.156 | + | 124.156i | −0.650033 | + | 0.650033i | −0.953001 | − | 0.302968i | \(-0.902023\pi\) |
0.302968 | + | 0.953001i | \(0.402023\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 66.0477 | − | 66.0477i | 0.342216 | − | 0.342216i | −0.514984 | − | 0.857200i | \(-0.672202\pi\) |
0.857200 | + | 0.514984i | \(0.172202\pi\) | |||||||
\(194\) | −13.4784 | −0.0694763 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 32.8403i | 0.167553i | ||||||||
\(197\) | −59.3236 | −0.301135 | −0.150568 | − | 0.988600i | \(-0.548110\pi\) | ||||
−0.150568 | + | 0.988600i | \(0.548110\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 24.4969 | + | 24.4969i | 0.123100 | + | 0.123100i | 0.765973 | − | 0.642873i | \(-0.222258\pi\) |
−0.642873 | + | 0.765973i | \(0.722258\pi\) | |||||||
\(200\) | −185.701 | − | 185.701i | −0.928506 | − | 0.928506i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −76.5315 | + | 76.5315i | −0.378869 | + | 0.378869i | ||||
\(203\) | 111.787 | + | 111.787i | 0.550677 | + | 0.550677i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −13.2284 | − | 13.2284i | −0.0645287 | − | 0.0645287i | ||||
\(206\) | 124.821i | 0.605925i | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 43.3449 | − | 43.3449i | 0.208389 | − | 0.208389i | ||||
\(209\) | −43.2828 | − | 43.2828i | −0.207095 | − | 0.207095i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 33.2939 | 0.157791 | 0.0788955 | − | 0.996883i | \(-0.474861\pi\) | ||||
0.0788955 | + | 0.996883i | \(0.474861\pi\) | |||||||
\(212\) | − | 71.7882i | − | 0.338624i | ||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −67.4779 | − | 67.4779i | −0.315317 | − | 0.315317i | ||||
\(215\) | − | 200.457i | − | 0.932360i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 57.8497 | + | 57.8497i | 0.266588 | + | 0.266588i | ||||
\(218\) | −53.7409 | −0.246518 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 172.210 | − | 172.210i | 0.782775 | − | 0.782775i | ||||
\(221\) | − | 281.157i | − | 1.27221i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 356.943 | 1.60064 | 0.800320 | − | 0.599574i | \(-0.204663\pi\) | ||||
0.800320 | + | 0.599574i | \(0.204663\pi\) | |||||||
\(224\) | 102.395 | + | 102.395i | 0.457119 | + | 0.457119i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | − | 117.258i | − | 0.518843i | ||||||
\(227\) | 126.548 | − | 126.548i | 0.557479 | − | 0.557479i | −0.371110 | − | 0.928589i | \(-0.621023\pi\) |
0.928589 | + | 0.371110i | \(0.121023\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −235.918 | −1.03021 | −0.515104 | − | 0.857128i | \(-0.672247\pi\) | ||||
−0.515104 | + | 0.857128i | \(0.672247\pi\) | |||||||
\(230\) | 181.357 | − | 181.357i | 0.788510 | − | 0.788510i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −245.421 | −1.05785 | ||||||||
\(233\) | − | 33.5791i | − | 0.144116i | −0.997400 | − | 0.0720582i | \(-0.977043\pi\) | ||
0.997400 | − | 0.0720582i | \(-0.0229567\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −174.182 | + | 174.182i | −0.741200 | + | 0.741200i | ||||
\(236\) | 83.0299 | + | 83.0299i | 0.351822 | + | 0.351822i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −210.787 | −0.885659 | ||||||||
\(239\) | 5.37141 | − | 5.37141i | 0.0224745 | − | 0.0224745i | −0.695780 | − | 0.718255i | \(-0.744941\pi\) |
0.718255 | + | 0.695780i | \(0.244941\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 264.741 | − | 264.741i | 1.09851 | − | 1.09851i | 0.103924 | − | 0.994585i | \(-0.466860\pi\) |
0.994585 | − | 0.103924i | \(-0.0331400\pi\) | |||||||
\(242\) | −220.381 | − | 220.381i | −0.910664 | − | 0.910664i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5.80060 | − | 5.80060i | 0.0237730 | − | 0.0237730i | ||||
\(245\) | 96.3099 | − | 96.3099i | 0.393102 | − | 0.393102i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | − | 36.9241i | − | 0.149490i | ||||||
\(248\) | −127.004 | −0.512115 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 61.0742i | 0.244297i | ||||||||
\(251\) | 60.1852 | + | 60.1852i | 0.239782 | + | 0.239782i | 0.816760 | − | 0.576978i | \(-0.195768\pi\) |
−0.576978 | + | 0.816760i | \(0.695768\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 298.296 | + | 298.296i | 1.17903 | + | 1.17903i | ||||
\(254\) | 139.391 | + | 139.391i | 0.548783 | + | 0.548783i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −264.941 | −1.03493 | ||||||||
\(257\) | −103.677 | + | 103.677i | −0.403412 | + | 0.403412i | −0.879434 | − | 0.476021i | \(-0.842078\pi\) |
0.476021 | + | 0.879434i | \(0.342078\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 178.222 | + | 101.459i | 0.688116 | + | 0.391732i | ||||
\(260\) | 146.911 | 0.565042 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 190.617i | 0.727547i | ||||||||
\(263\) | 232.453i | 0.883851i | 0.897052 | + | 0.441926i | \(0.145704\pi\) | ||||
−0.897052 | + | 0.441926i | \(0.854296\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −210.531 | + | 210.531i | −0.794458 | + | 0.794458i | ||||
\(266\) | −27.6824 | −0.104069 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 79.4150 | 0.296325 | ||||||||
\(269\) | −183.875 | −0.683550 | −0.341775 | − | 0.939782i | \(-0.611028\pi\) | ||||
−0.341775 | + | 0.939782i | \(0.611028\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 10.9050 | 0.0402398 | 0.0201199 | − | 0.999798i | \(-0.493595\pi\) | ||||
0.0201199 | + | 0.999798i | \(0.493595\pi\) | |||||||
\(272\) | 101.193 | − | 101.193i | 0.372032 | − | 0.372032i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −15.8712 | − | 15.8712i | −0.0579242 | − | 0.0579242i | ||||
\(275\) | −555.264 | −2.01914 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −210.314 | − | 210.314i | −0.759256 | − | 0.759256i | 0.216931 | − | 0.976187i | \(-0.430395\pi\) |
−0.976187 | + | 0.216931i | \(0.930395\pi\) | |||||||
\(278\) | 229.465 | − | 229.465i | 0.825414 | − | 0.825414i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | − | 355.360i | − | 1.26914i | ||||||
\(281\) | 353.860 | − | 353.860i | 1.25929 | − | 1.25929i | 0.307856 | − | 0.951433i | \(-0.400389\pi\) |
0.951433 | − | 0.307856i | \(-0.0996114\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 305.613 | + | 305.613i | 1.07991 | + | 1.07991i | 0.996517 | + | 0.0833885i | \(0.0265742\pi\) |
0.0833885 | + | 0.996517i | \(0.473426\pi\) | |||||||
\(284\) | − | 166.015i | − | 0.584559i | ||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | − | 296.350i | − | 1.03619i | ||||||
\(287\) | − | 13.9158i | − | 0.0484870i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | − | 367.388i | − | 1.27124i | ||||||
\(290\) | 223.076 | + | 223.076i | 0.769229 | + | 0.769229i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −156.972 | −0.537574 | ||||||||
\(293\) | 81.8505 | 0.279353 | 0.139677 | − | 0.990197i | \(-0.455394\pi\) | ||||
0.139677 | + | 0.990197i | \(0.455394\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 486.999i | − | 1.65084i | ||||||
\(296\) | −307.008 | + | 84.2639i | −1.03719 | + | 0.284675i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 235.659 | + | 235.659i | 0.790804 | + | 0.790804i | ||||
\(299\) | 254.473i | 0.851079i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 105.437 | − | 105.437i | 0.350288 | − | 0.350288i | ||||
\(302\) | −231.404 | + | 231.404i | −0.766239 | + | 0.766239i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 13.2895 | − | 13.2895i | 0.0437155 | − | 0.0437155i | ||||
\(305\) | −34.0225 | −0.111549 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 441.470i | − | 1.43801i | −0.695003 | − | 0.719007i | \(-0.744597\pi\) | ||
0.695003 | − | 0.719007i | \(-0.255403\pi\) | |||||||
\(308\) | 181.159 | 0.588179 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 115.441 | + | 115.441i | 0.372392 | + | 0.372392i | ||||
\(311\) | 26.4826 | + | 26.4826i | 0.0851531 | + | 0.0851531i | 0.748400 | − | 0.663247i | \(-0.230822\pi\) |
−0.663247 | + | 0.748400i | \(0.730822\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 301.149 | − | 301.149i | 0.962137 | − | 0.962137i | −0.0371719 | − | 0.999309i | \(-0.511835\pi\) |
0.999309 | + | 0.0371719i | \(0.0118349\pi\) | |||||||
\(314\) | 86.8198 | + | 86.8198i | 0.276496 | + | 0.276496i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −71.3715 | − | 71.3715i | −0.225859 | − | 0.225859i | ||||
\(317\) | − | 374.514i | − | 1.18143i | −0.806880 | − | 0.590716i | \(-0.798845\pi\) | ||
0.806880 | − | 0.590716i | \(-0.201155\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −366.915 | + | 366.915i | −1.15020 | + | 1.15020i | ||||
\(320\) | 322.055 | + | 322.055i | 1.00642 | + | 1.00642i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 190.781 | 0.592488 | ||||||||
\(323\) | − | 86.2027i | − | 0.266881i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −236.845 | − | 236.845i | −0.728754 | − | 0.728754i | ||||
\(326\) | − | 292.279i | − | 0.896562i | ||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 15.2755 | + | 15.2755i | 0.0465716 | + | 0.0465716i | ||||
\(329\) | −183.233 | −0.556939 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −284.416 | + | 284.416i | −0.859261 | + | 0.859261i | −0.991251 | − | 0.131990i | \(-0.957863\pi\) |
0.131990 | + | 0.991251i | \(0.457863\pi\) | |||||||
\(332\) | − | 201.861i | − | 0.608016i | ||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −159.419 | −0.477304 | ||||||||
\(335\) | −232.898 | − | 232.898i | −0.695219 | − | 0.695219i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 408.598i | 1.21246i | 0.795290 | + | 0.606229i | \(0.207319\pi\) | ||||
−0.795290 | + | 0.606229i | \(0.792681\pi\) | |||||||
\(338\) | −50.9788 | + | 50.9788i | −0.150825 | + | 0.150825i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 342.977 | 1.00876 | ||||||||
\(341\) | −189.878 | + | 189.878i | −0.556826 | + | 0.556826i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 372.904 | 1.08718 | ||||||||
\(344\) | 231.478i | 0.672902i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 83.1075 | − | 83.1075i | 0.240195 | − | 0.240195i | ||||
\(347\) | −169.743 | − | 169.743i | −0.489173 | − | 0.489173i | 0.418872 | − | 0.908045i | \(-0.362426\pi\) |
−0.908045 | + | 0.418872i | \(0.862426\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −70.7682 | −0.202774 | −0.101387 | − | 0.994847i | \(-0.532328\pi\) | ||||
−0.101387 | + | 0.994847i | \(0.532328\pi\) | |||||||
\(350\) | −177.565 | + | 177.565i | −0.507330 | + | 0.507330i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −336.085 | + | 336.085i | −0.954788 | + | 0.954788i | ||||
\(353\) | −35.6639 | − | 35.6639i | −0.101031 | − | 0.101031i | 0.654785 | − | 0.755816i | \(-0.272759\pi\) |
−0.755816 | + | 0.654785i | \(0.772759\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −486.867 | + | 486.867i | −1.37146 | + | 1.37146i | ||||
\(356\) | −203.198 | + | 203.198i | −0.570780 | + | 0.570780i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 257.686i | 0.719793i | ||||||||
\(359\) | 623.797 | 1.73760 | 0.868798 | − | 0.495168i | \(-0.164893\pi\) | ||||
0.868798 | + | 0.495168i | \(0.164893\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 349.679i | 0.968640i | ||||||||
\(362\) | 142.939 | + | 142.939i | 0.394859 | + | 0.394859i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 77.2724 | + | 77.2724i | 0.212287 | + | 0.212287i | ||||
\(365\) | 460.347 | + | 460.347i | 1.26122 | + | 1.26122i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −189.927 | −0.517512 | −0.258756 | − | 0.965943i | \(-0.583313\pi\) | ||||
−0.258756 | + | 0.965943i | \(0.583313\pi\) | |||||||
\(368\) | −91.5884 | + | 91.5884i | −0.248882 | + | 0.248882i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 355.649 | + | 202.465i | 0.961214 | + | 0.547202i | ||||
\(371\) | −221.471 | −0.596957 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 149.878i | − | 0.401817i | −0.979610 | − | 0.200909i | \(-0.935611\pi\) | ||
0.979610 | − | 0.200909i | \(-0.0643894\pi\) | |||||||
\(374\) | − | 691.857i | − | 1.84988i | ||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 201.137 | − | 201.137i | 0.534938 | − | 0.534938i | ||||
\(377\) | −313.011 | −0.830269 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −226.618 | −0.597937 | −0.298968 | − | 0.954263i | \(-0.596643\pi\) | ||||
−0.298968 | + | 0.954263i | \(0.596643\pi\) | |||||||
\(380\) | 45.0428 | 0.118534 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −260.633 | −0.682286 | ||||||||
\(383\) | −427.831 | + | 427.831i | −1.11705 | + | 1.11705i | −0.124879 | + | 0.992172i | \(0.539854\pi\) |
−0.992172 | + | 0.124879i | \(0.960146\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −531.280 | − | 531.280i | −1.37995 | − | 1.37995i | ||||
\(386\) | 138.650 | 0.359196 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 11.5353 | + | 11.5353i | 0.0297303 | + | 0.0297303i | ||||
\(389\) | −539.254 | + | 539.254i | −1.38626 | + | 1.38626i | −0.553223 | + | 0.833033i | \(0.686602\pi\) |
−0.833033 | + | 0.553223i | \(0.813398\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 594.090i | 1.51941i | ||||||||
\(392\) | −111.214 | + | 111.214i | −0.283709 | + | 0.283709i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −62.2671 | − | 62.2671i | −0.158038 | − | 0.158038i | ||||
\(395\) | 418.619i | 1.05979i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 249.597i | − | 0.628707i | −0.949306 | − | 0.314354i | \(-0.898212\pi\) | ||
0.949306 | − | 0.314354i | \(-0.101788\pi\) | |||||||
\(398\) | 51.4248i | 0.129208i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | − | 170.488i | − | 0.426220i | ||||||
\(401\) | 252.449 | + | 252.449i | 0.629550 | + | 0.629550i | 0.947955 | − | 0.318405i | \(-0.103147\pi\) |
−0.318405 | + | 0.947955i | \(0.603147\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −161.983 | −0.401942 | ||||||||
\(404\) | 130.997 | 0.324251 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 234.668i | 0.578000i | ||||||||
\(407\) | −333.013 | + | 584.970i | −0.818215 | + | 1.43727i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 27.2406 | + | 27.2406i | 0.0666030 | + | 0.0666030i | 0.739624 | − | 0.673021i | \(-0.235004\pi\) |
−0.673021 | + | 0.739624i | \(0.735004\pi\) | |||||||
\(410\) | − | 27.7695i | − | 0.0677305i | ||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 106.826 | − | 106.826i | 0.259287 | − | 0.259287i | ||||
\(413\) | 256.153 | − | 256.153i | 0.620224 | − | 0.620224i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −591.993 | + | 591.993i | −1.42649 | + | 1.42649i | ||||
\(416\) | −286.711 | −0.689209 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | − | 90.8607i | − | 0.217370i | ||||||
\(419\) | −221.675 | −0.529058 | −0.264529 | − | 0.964378i | \(-0.585217\pi\) | ||||
−0.264529 | + | 0.964378i | \(0.585217\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 138.621 | + | 138.621i | 0.329266 | + | 0.329266i | 0.852307 | − | 0.523041i | \(-0.175203\pi\) |
−0.523041 | + | 0.852307i | \(0.675203\pi\) | |||||||
\(422\) | 34.9458 | + | 34.9458i | 0.0828101 | + | 0.0828101i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 243.111 | − | 243.111i | 0.573375 | − | 0.573375i | ||||
\(425\) | −552.937 | − | 552.937i | −1.30103 | − | 1.30103i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −17.8952 | − | 17.8952i | −0.0419092 | − | 0.0419092i | ||||
\(428\) | 115.500i | 0.269861i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 210.403 | − | 210.403i | 0.489310 | − | 0.489310i | ||||
\(431\) | 525.402 | + | 525.402i | 1.21903 | + | 1.21903i | 0.967972 | + | 0.251058i | \(0.0807787\pi\) |
0.251058 | + | 0.967972i | \(0.419221\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 229.718 | 0.530527 | 0.265263 | − | 0.964176i | \(-0.414541\pi\) | ||||
0.265263 | + | 0.964176i | \(0.414541\pi\) | |||||||
\(434\) | 121.440i | 0.279816i | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 45.9935 | + | 45.9935i | 0.105490 | + | 0.105490i | ||||
\(437\) | 78.0212i | 0.178538i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 420.037 | + | 420.037i | 0.956803 | + | 0.956803i | 0.999105 | − | 0.0423019i | \(-0.0134691\pi\) |
−0.0423019 | + | 0.999105i | \(0.513469\pi\) | |||||||
\(440\) | 1166.38 | 2.65087 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 295.108 | − | 295.108i | 0.667665 | − | 0.667665i | ||||
\(443\) | − | 637.682i | − | 1.43946i | −0.694252 | − | 0.719732i | \(-0.744265\pi\) | ||
0.694252 | − | 0.719732i | \(-0.255735\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1191.82 | 2.67826 | ||||||||
\(446\) | 374.653 | + | 374.653i | 0.840029 | + | 0.840029i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 338.790i | 0.756228i | ||||||||
\(449\) | −208.249 | + | 208.249i | −0.463807 | + | 0.463807i | −0.899901 | − | 0.436094i | \(-0.856361\pi\) |
0.436094 | + | 0.899901i | \(0.356361\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 45.6752 | 0.101275 | ||||||||
\(452\) | −100.354 | + | 100.354i | −0.222023 | + | 0.222023i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 265.653 | 0.585139 | ||||||||
\(455\) | − | 453.229i | − | 0.996109i | ||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 167.982 | − | 167.982i | 0.367576 | − | 0.367576i | −0.499017 | − | 0.866592i | \(-0.666305\pi\) |
0.866592 | + | 0.499017i | \(0.166305\pi\) | |||||||
\(458\) | −247.623 | − | 247.623i | −0.540662 | − | 0.540662i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −310.425 | −0.674837 | ||||||||
\(461\) | 579.698 | − | 579.698i | 1.25748 | − | 1.25748i | 0.305186 | − | 0.952293i | \(-0.401281\pi\) |
0.952293 | − | 0.305186i | \(-0.0987186\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 235.818 | − | 235.818i | 0.509325 | − | 0.509325i | −0.404994 | − | 0.914319i | \(-0.632726\pi\) |
0.914319 | + | 0.404994i | \(0.132726\pi\) | |||||||
\(464\) | −112.657 | − | 112.657i | −0.242796 | − | 0.242796i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 35.2452 | − | 35.2452i | 0.0756335 | − | 0.0756335i | ||||
\(467\) | 172.057 | − | 172.057i | 0.368430 | − | 0.368430i | −0.498474 | − | 0.866905i | \(-0.666106\pi\) |
0.866905 | + | 0.498474i | \(0.166106\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − | 245.000i | − | 0.522389i | ||||||
\(470\) | −365.649 | −0.777977 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 562.363i | 1.19145i | ||||||||
\(473\) | 346.071 | + | 346.071i | 0.731651 | + | 0.731651i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −72.6165 | − | 72.6165i | −0.152877 | − | 0.152877i | ||||
\(476\) | 180.400 | + | 180.400i | 0.378991 | + | 0.378991i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 11.2759 | 0.0235897 | ||||||||
\(479\) | −56.2384 | + | 56.2384i | −0.117408 | + | 0.117408i | −0.763370 | − | 0.645962i | \(-0.776457\pi\) |
0.645962 | + | 0.763370i | \(0.276457\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −391.561 | + | 107.471i | −0.814056 | + | 0.223432i | ||||
\(482\) | 555.753 | 1.15301 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 377.221i | 0.779382i | ||||||||
\(485\) | − | 67.6588i | − | 0.139503i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −152.415 | + | 152.415i | −0.312967 | + | 0.312967i | −0.846058 | − | 0.533091i | \(-0.821030\pi\) |
0.533091 | + | 0.846058i | \(0.321030\pi\) | |||||||
\(488\) | 39.2875 | 0.0805072 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 202.177 | 0.412606 | ||||||||
\(491\) | −487.992 | −0.993874 | −0.496937 | − | 0.867786i | \(-0.665542\pi\) | ||||
−0.496937 | + | 0.867786i | \(0.665542\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −730.754 | −1.48226 | ||||||||
\(494\) | 38.7561 | − | 38.7561i | 0.0784537 | − | 0.0784537i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −58.2998 | − | 58.2998i | −0.117540 | − | 0.117540i | ||||
\(497\) | −512.166 | −1.03051 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −588.787 | − | 588.787i | −1.17993 | − | 1.17993i | −0.979760 | − | 0.200174i | \(-0.935849\pi\) |
−0.200174 | − | 0.979760i | \(-0.564151\pi\) | |||||||
\(500\) | 52.2697 | − | 52.2697i | 0.104539 | − | 0.104539i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 126.343i | 0.251679i | ||||||||
\(503\) | 90.4426 | − | 90.4426i | 0.179806 | − | 0.179806i | −0.611465 | − | 0.791271i | \(-0.709420\pi\) |
0.791271 | + | 0.611465i | \(0.209420\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −384.172 | − | 384.172i | −0.760737 | − | 0.760737i | ||||
\(506\) | 626.192i | 1.23753i | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | − | 238.592i | − | 0.469670i | ||||||
\(509\) | − | 925.458i | − | 1.81819i | −0.416590 | − | 0.909094i | \(-0.636775\pi\) | ||
0.416590 | − | 0.909094i | \(-0.363225\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 484.268i | 0.947686i | ||||||||
\(512\) | −239.132 | − | 239.132i | −0.467054 | − | 0.467054i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −217.642 | −0.423428 | ||||||||
\(515\) | −626.573 | −1.21665 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 601.418i | − | 1.16328i | ||||||
\(518\) | 80.5721 | + | 293.558i | 0.155545 | + | 0.566714i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 497.515 | + | 497.515i | 0.956759 | + | 0.956759i | ||||
\(521\) | − | 87.8448i | − | 0.168608i | −0.996440 | − | 0.0843040i | \(-0.973133\pi\) | ||
0.996440 | − | 0.0843040i | \(-0.0268667\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 17.6675 | − | 17.6675i | 0.0337811 | − | 0.0337811i | −0.690014 | − | 0.723796i | \(-0.742396\pi\) |
0.723796 | + | 0.690014i | \(0.242396\pi\) | |||||||
\(524\) | 163.138 | − | 163.138i | 0.311332 | − | 0.311332i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −243.987 | + | 243.987i | −0.463853 | + | 0.463853i | ||||
\(527\) | −378.163 | −0.717577 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 8.70501i | − | 0.0164556i | ||||||
\(530\) | −441.955 | −0.833877 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 23.6917 | + | 23.6917i | 0.0445332 | + | 0.0445332i | ||||
\(533\) | 19.4825 | + | 19.4825i | 0.0365525 | + | 0.0365525i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 338.725 | − | 338.725i | 0.633131 | − | 0.633131i | ||||
\(536\) | 268.939 | + | 268.939i | 0.501753 | + | 0.501753i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −192.998 | − | 192.998i | −0.358733 | − | 0.358733i | ||||
\(539\) | 332.540i | 0.616957i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 89.2845 | − | 89.2845i | 0.165036 | − | 0.165036i | −0.619757 | − | 0.784793i | \(-0.712769\pi\) |
0.784793 | + | 0.619757i | \(0.212769\pi\) | |||||||
\(542\) | 11.4461 | + | 11.4461i | 0.0211182 | + | 0.0211182i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −669.353 | −1.23043 | ||||||||
\(545\) | − | 269.768i | − | 0.494987i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −75.5441 | − | 75.5441i | −0.138106 | − | 0.138106i | 0.634674 | − | 0.772780i | \(-0.281134\pi\) |
−0.772780 | + | 0.634674i | \(0.781134\pi\) | |||||||
\(548\) | 27.1664i | 0.0495738i | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −582.815 | − | 582.815i | −1.05966 | − | 1.05966i | ||||
\(551\) | −95.9691 | −0.174173 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −220.186 | + | 220.186i | −0.398166 | + | 0.398166i | ||||
\(554\) | − | 441.498i | − | 0.796928i | ||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −392.770 | −0.706422 | ||||||||
\(557\) | 154.792 | + | 154.792i | 0.277902 | + | 0.277902i | 0.832271 | − | 0.554369i | \(-0.187040\pi\) |
−0.554369 | + | 0.832271i | \(0.687040\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 295.229i | 0.528138i | ||||||||
\(560\) | 163.124 | − | 163.124i | 0.291292 | − | 0.291292i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 742.835 | 1.32177 | ||||||||
\(563\) | 65.2182 | − | 65.2182i | 0.115840 | − | 0.115840i | −0.646810 | − | 0.762651i | \(-0.723897\pi\) |
0.762651 | + | 0.646810i | \(0.223897\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 588.613 | 1.04179 | ||||||||
\(566\) | 641.554i | 1.13349i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 562.210 | − | 562.210i | 0.989806 | − | 0.989806i | ||||
\(569\) | −511.812 | − | 511.812i | −0.899494 | − | 0.899494i | 0.0958970 | − | 0.995391i | \(-0.469428\pi\) |
−0.995391 | + | 0.0958970i | \(0.969428\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 124.918 | 0.218771 | 0.109386 | − | 0.993999i | \(-0.465112\pi\) | ||||
0.109386 | + | 0.993999i | \(0.465112\pi\) | |||||||
\(572\) | −253.628 | + | 253.628i | −0.443405 | + | 0.443405i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 14.6062 | − | 14.6062i | 0.0254464 | − | 0.0254464i | ||||
\(575\) | 500.457 | + | 500.457i | 0.870361 | + | 0.870361i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −86.4511 | + | 86.4511i | −0.149829 | + | 0.149829i | −0.778041 | − | 0.628213i | \(-0.783787\pi\) |
0.628213 | + | 0.778041i | \(0.283787\pi\) | |||||||
\(578\) | 385.617 | − | 385.617i | 0.667157 | − | 0.667157i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | − | 381.835i | − | 0.658336i | ||||||
\(581\) | −622.755 | −1.07187 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | − | 726.925i | − | 1.24687i | ||||||
\(584\) | −531.586 | − | 531.586i | −0.910249 | − | 0.910249i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 85.9117 | + | 85.9117i | 0.146607 | + | 0.146607i | ||||
\(587\) | −500.633 | − | 500.633i | −0.852867 | − | 0.852867i | 0.137619 | − | 0.990485i | \(-0.456055\pi\) |
−0.990485 | + | 0.137619i | \(0.956055\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −49.6637 | −0.0843187 | ||||||||
\(590\) | 511.163 | − | 511.163i | 0.866378 | − | 0.866378i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −179.609 | − | 102.248i | −0.303393 | − | 0.172716i | ||||
\(593\) | 719.626 | 1.21354 | 0.606768 | − | 0.794879i | \(-0.292466\pi\) | ||||
0.606768 | + | 0.794879i | \(0.292466\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 1058.11i | − | 1.77833i | ||||||
\(596\) | − | 403.373i | − | 0.676801i | ||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −267.099 | + | 267.099i | −0.446654 | + | 0.446654i | ||||
\(599\) | 259.577 | 0.433351 | 0.216676 | − | 0.976244i | \(-0.430479\pi\) | ||||
0.216676 | + | 0.976244i | \(0.430479\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −292.942 | −0.487424 | −0.243712 | − | 0.969848i | \(-0.578365\pi\) | ||||
−0.243712 | + | 0.969848i | \(0.578365\pi\) | |||||||
\(602\) | 221.337 | 0.367669 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 396.090 | 0.655777 | ||||||||
\(605\) | 1106.27 | − | 1106.27i | 1.82854 | − | 1.82854i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −315.803 | − | 315.803i | −0.520268 | − | 0.520268i | 0.397384 | − | 0.917652i | \(-0.369918\pi\) |
−0.917652 | + | 0.397384i | \(0.869918\pi\) | |||||||
\(608\) | −87.9053 | −0.144581 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −35.7106 | − | 35.7106i | −0.0585420 | − | 0.0585420i | ||||
\(611\) | 256.532 | − | 256.532i | 0.419855 | − | 0.419855i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 405.498i | 0.661498i | 0.943719 | + | 0.330749i | \(0.107301\pi\) | ||||
−0.943719 | + | 0.330749i | \(0.892699\pi\) | |||||||
\(614\) | 463.375 | − | 463.375i | 0.754682 | − | 0.754682i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 613.496 | + | 613.496i | 0.995935 | + | 0.995935i | ||||
\(617\) | − | 327.089i | − | 0.530128i | −0.964231 | − | 0.265064i | \(-0.914607\pi\) | ||
0.964231 | − | 0.265064i | \(-0.0853931\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 525.496i | 0.848943i | 0.905441 | + | 0.424472i | \(0.139540\pi\) | ||||
−0.905441 | + | 0.424472i | \(0.860460\pi\) | |||||||
\(620\) | − | 197.599i | − | 0.318707i | ||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 55.5932i | 0.0893782i | ||||||||
\(623\) | 626.878 | + | 626.878i | 1.00622 | + | 1.00622i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 456.465 | 0.730344 | ||||||||
\(626\) | 632.182 | 1.00988 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 148.608i | − | 0.236636i | ||||||
\(629\) | −914.136 | + | 250.901i | −1.45332 | + | 0.398888i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 517.188 | + | 517.188i | 0.819632 | + | 0.819632i | 0.986055 | − | 0.166422i | \(-0.0532215\pi\) |
−0.166422 | + | 0.986055i | \(0.553221\pi\) | |||||||
\(632\) | − | 483.400i | − | 0.764874i | ||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 393.096 | − | 393.096i | 0.620026 | − | 0.620026i | ||||
\(635\) | −699.713 | + | 699.713i | −1.10191 | + | 1.10191i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −141.843 | + | 141.843i | −0.222674 | + | 0.222674i | ||||
\(638\) | −770.241 | −1.20727 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | − | 102.624i | − | 0.160350i | ||||||
\(641\) | 1064.31 | 1.66039 | 0.830196 | − | 0.557472i | \(-0.188228\pi\) | ||||
0.830196 | + | 0.557472i | \(0.188228\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −607.938 | − | 607.938i | −0.945470 | − | 0.945470i | 0.0531178 | − | 0.998588i | \(-0.483084\pi\) |
−0.998588 | + | 0.0531178i | \(0.983084\pi\) | |||||||
\(644\) | −163.278 | − | 163.278i | −0.253537 | − | 0.253537i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 90.4798 | − | 90.4798i | 0.140062 | − | 0.140062i | ||||
\(647\) | −506.664 | − | 506.664i | −0.783097 | − | 0.783097i | 0.197255 | − | 0.980352i | \(-0.436797\pi\) |
−0.980352 | + | 0.197255i | \(0.936797\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 840.758 | + | 840.758i | 1.29547 | + | 1.29547i | ||||
\(650\) | − | 497.193i | − | 0.764913i | ||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −250.144 | + | 250.144i | −0.383657 | + | 0.383657i | ||||
\(653\) | −124.218 | − | 124.218i | −0.190226 | − | 0.190226i | 0.605568 | − | 0.795794i | \(-0.292946\pi\) |
−0.795794 | + | 0.605568i | \(0.792946\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −956.860 | −1.46085 | ||||||||
\(656\) | 14.0241i | 0.0213781i | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −192.325 | − | 192.325i | −0.292287 | − | 0.292287i | ||||
\(659\) | 454.252i | 0.689305i | 0.938730 | + | 0.344653i | \(0.112003\pi\) | ||||
−0.938730 | + | 0.344653i | \(0.887997\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −389.416 | − | 389.416i | −0.589132 | − | 0.589132i | 0.348265 | − | 0.937396i | \(-0.386771\pi\) |
−0.937396 | + | 0.348265i | \(0.886771\pi\) | |||||||
\(662\) | −597.055 | −0.901896 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 683.604 | − | 683.604i | 1.02952 | − | 1.02952i | ||||
\(665\) | − | 138.960i | − | 0.208962i | ||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 661.398 | 0.991602 | ||||||||
\(668\) | 136.437 | + | 136.437i | 0.204247 | + | 0.204247i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | − | 488.908i | − | 0.729714i | ||||||
\(671\) | 58.7367 | − | 58.7367i | 0.0875361 | − | 0.0875361i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −25.6563 | −0.0381222 | −0.0190611 | − | 0.999818i | \(-0.506068\pi\) | ||||
−0.0190611 | + | 0.999818i | \(0.506068\pi\) | |||||||
\(674\) | −428.872 | + | 428.872i | −0.636309 | + | 0.636309i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 87.2593 | 0.129082 | ||||||||
\(677\) | 37.6324i | 0.0555870i | 0.999614 | + | 0.0277935i | \(0.00884809\pi\) | ||||
−0.999614 | + | 0.0277935i | \(0.991152\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 35.5873 | − | 35.5873i | 0.0524113 | − | 0.0524113i | ||||
\(680\) | 1161.49 | + | 1161.49i | 1.70808 | + | 1.70808i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −398.598 | −0.584454 | ||||||||
\(683\) | 136.128 | − | 136.128i | 0.199308 | − | 0.199308i | −0.600395 | − | 0.799703i | \(-0.704990\pi\) |
0.799703 | + | 0.600395i | \(0.204990\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 79.6702 | − | 79.6702i | 0.116307 | − | 0.116307i | ||||
\(686\) | 391.407 | + | 391.407i | 0.570564 | + | 0.570564i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −106.257 | + | 106.257i | −0.154444 | + | 0.154444i | ||||
\(689\) | 310.066 | − | 310.066i | 0.450023 | − | 0.450023i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 1141.32i | 1.65170i | 0.563890 | + | 0.825850i | \(0.309304\pi\) | ||||
−0.563890 | + | 0.825850i | \(0.690696\pi\) | |||||||
\(692\) | −142.253 | −0.205568 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 356.331i | − | 0.513445i | ||||||
\(695\) | 1151.87 | + | 1151.87i | 1.65736 | + | 1.65736i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 45.4837 | + | 45.4837i | 0.0652564 | + | 0.0652564i | ||||
\(698\) | −74.2795 | − | 74.2795i | −0.106418 | − | 0.106418i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 303.935 | 0.434192 | ||||||||
\(701\) | −30.7153 | + | 30.7153i | −0.0438163 | + | 0.0438163i | −0.728675 | − | 0.684859i | \(-0.759864\pi\) |
0.684859 | + | 0.728675i | \(0.259864\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −120.052 | + | 32.9505i | −0.170771 | + | 0.0468713i | ||||
\(704\) | −1112.00 | −1.57954 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | − | 74.8669i | − | 0.106044i | ||||||
\(707\) | − | 404.135i | − | 0.571619i | ||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 180.362 | − | 180.362i | 0.254390 | − | 0.254390i | −0.568378 | − | 0.822768i | \(-0.692429\pi\) |
0.822768 | + | 0.568378i | \(0.192429\pi\) | |||||||
\(710\) | −1022.05 | −1.43950 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1376.26 | −1.93295 | ||||||||
\(713\) | 342.272 | 0.480044 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1487.62 | 2.08058 | ||||||||
\(716\) | 220.538 | − | 220.538i | 0.308013 | − | 0.308013i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 654.748 | + | 654.748i | 0.911905 | + | 0.911905i | ||||
\(719\) | 171.807 | 0.238952 | 0.119476 | − | 0.992837i | \(-0.461878\pi\) | ||||
0.119476 | + | 0.992837i | \(0.461878\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −329.566 | − | 329.566i | −0.457095 | − | 0.457095i | ||||
\(722\) | −367.029 | + | 367.029i | −0.508351 | + | 0.508351i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | − | 244.665i | − | 0.337936i | ||||||
\(725\) | −615.582 | + | 615.582i | −0.849079 | + | 0.849079i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 304.684 | + | 304.684i | 0.419098 | + | 0.419098i | 0.884893 | − | 0.465795i | \(-0.154232\pi\) |
−0.465795 | + | 0.884893i | \(0.654232\pi\) | |||||||
\(728\) | 523.367i | 0.718910i | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 966.376i | 1.32380i | ||||||||
\(731\) | 689.240i | 0.942873i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 641.352i | 0.874968i | 0.899226 | + | 0.437484i | \(0.144130\pi\) | ||||
−0.899226 | + | 0.437484i | \(0.855870\pi\) | |||||||
\(734\) | −199.351 | − | 199.351i | −0.271595 | − | 0.271595i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 605.824 | 0.823131 | ||||||||
\(737\) | 804.154 | 1.09112 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 6.01293i | 0.00813658i | 0.999992 | + | 0.00406829i | \(0.00129498\pi\) | ||||
−0.999992 | + | 0.00406829i | \(0.998705\pi\) | |||||||
\(740\) | −131.101 | − | 477.656i | −0.177164 | − | 0.645481i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −232.460 | − | 232.460i | −0.313288 | − | 0.313288i | ||||
\(743\) | 529.715i | 0.712941i | 0.934307 | + | 0.356471i | \(0.116020\pi\) | ||||
−0.934307 | + | 0.356471i | \(0.883980\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1182.96 | + | 1182.96i | −1.58787 | + | 1.58787i | ||||
\(746\) | 157.314 | − | 157.314i | 0.210877 | − | 0.210877i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −592.118 | + | 592.118i | −0.791601 | + | 0.791601i | ||||
\(749\) | 356.326 | 0.475736 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 696.245i | − | 0.927091i | −0.886073 | − | 0.463545i | \(-0.846577\pi\) | ||
0.886073 | − | 0.463545i | \(-0.153423\pi\) | |||||||
\(752\) | 184.659 | 0.245557 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −328.542 | − | 328.542i | −0.435732 | − | 0.435732i | ||||
\(755\) | −1161.60 | − | 1161.60i | −1.53854 | − | 1.53854i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −503.637 | + | 503.637i | −0.665306 | + | 0.665306i | −0.956626 | − | 0.291320i | \(-0.905906\pi\) |
0.291320 | + | 0.956626i | \(0.405906\pi\) | |||||||
\(758\) | −237.862 | − | 237.862i | −0.313802 | − | 0.313802i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 152.538 | + | 152.538i | 0.200707 | + | 0.200707i | ||||
\(761\) | − | 246.317i | − | 0.323676i | −0.986817 | − | 0.161838i | \(-0.948258\pi\) | ||
0.986817 | − | 0.161838i | \(-0.0517422\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 141.893 | − | 141.893i | 0.185967 | − | 0.185967i | ||||
\(764\) | 223.060 | + | 223.060i | 0.291964 | + | 0.291964i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −898.117 | −1.17248 | ||||||||
\(767\) | 717.242i | 0.935127i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 810.146 | + | 810.146i | 1.05351 | + | 1.05351i | 0.998485 | + | 0.0550210i | \(0.0175226\pi\) |
0.0550210 | + | 0.998485i | \(0.482477\pi\) | |||||||
\(770\) | − | 1115.28i | − | 1.44842i | ||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −118.662 | − | 118.662i | −0.153707 | − | 0.153707i | ||||
\(773\) | −294.190 | −0.380582 | −0.190291 | − | 0.981728i | \(-0.560943\pi\) | ||||
−0.190291 | + | 0.981728i | \(0.560943\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −318.562 | + | 318.562i | −0.411048 | + | 0.411048i | ||||
\(776\) | 78.1290i | 0.100682i | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −1132.02 | −1.45504 | ||||||||
\(779\) | 5.97332 | + | 5.97332i | 0.00766793 | + | 0.00766793i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 1681.06i | − | 2.15245i | ||||||
\(782\) | −623.567 | + | 623.567i | −0.797401 | + | 0.797401i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −102.103 | −0.130233 | ||||||||
\(785\) | −435.817 | + | 435.817i | −0.555181 | + | 0.555181i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 887.447 | 1.12763 | 0.563816 | − | 0.825900i | \(-0.309333\pi\) | ||||
0.563816 | + | 0.825900i | \(0.309333\pi\) | |||||||
\(788\) | 106.581i | 0.135255i | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −439.389 | + | 439.389i | −0.556189 | + | 0.556189i | ||||
\(791\) | 309.600 | + | 309.600i | 0.391403 | + | 0.391403i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 50.1077 | 0.0631875 | ||||||||
\(794\) | 261.981 | − | 261.981i | 0.329951 | − | 0.329951i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 44.0113 | − | 44.0113i | 0.0552906 | − | 0.0552906i | ||||
\(797\) | 522.357 | + | 522.357i | 0.655404 | + | 0.655404i | 0.954289 | − | 0.298885i | \(-0.0966149\pi\) |
−0.298885 | + | 0.954289i | \(0.596615\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 598.897 | − | 598.897i | 0.749558 | − | 0.749558i | ||||
\(800\) | −563.858 | + | 563.858i | −0.704823 | + | 0.704823i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 529.951i | 0.660786i | ||||||||
\(803\) | −1589.49 | −1.97944 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 957.681i | 1.18967i | ||||||||
\(806\) | −170.020 | − | 170.020i | −0.210943 | − | 0.210943i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 443.623 | + | 443.623i | 0.549038 | + | 0.549038i | ||||
\(809\) | −180.910 | − | 180.910i | −0.223622 | − | 0.223622i | 0.586400 | − | 0.810022i | \(-0.300545\pi\) |
−0.810022 | + | 0.586400i | \(0.800545\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 914.793 | 1.12798 | 0.563991 | − | 0.825781i | \(-0.309265\pi\) | ||||
0.563991 | + | 0.825781i | \(0.309265\pi\) | |||||||
\(812\) | 200.838 | − | 200.838i | 0.247338 | − | 0.247338i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −963.532 | + | 264.458i | −1.18370 | + | 0.324888i | ||||
\(815\) | 1467.18 | 1.80022 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 90.5171i | 0.110792i | ||||||||
\(818\) | 57.1845i | 0.0699077i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −23.7662 | + | 23.7662i | −0.0289832 | + | 0.0289832i | ||||
\(821\) | 1307.60 | 1.59270 | 0.796348 | − | 0.604839i | \(-0.206763\pi\) | ||||
0.796348 | + | 0.604839i | \(0.206763\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 71.3330 | 0.0866743 | 0.0433372 | − | 0.999061i | \(-0.486201\pi\) | ||||
0.0433372 | + | 0.999061i | \(0.486201\pi\) | |||||||
\(824\) | 723.535 | 0.878077 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 537.724 | 0.650998 | ||||||||
\(827\) | 423.902 | − | 423.902i | 0.512578 | − | 0.512578i | −0.402737 | − | 0.915316i | \(-0.631941\pi\) |
0.915316 | + | 0.402737i | \(0.131941\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 139.431 | + | 139.431i | 0.168191 | + | 0.168191i | 0.786184 | − | 0.617993i | \(-0.212054\pi\) |
−0.617993 | + | 0.786184i | \(0.712054\pi\) | |||||||
\(830\) | −1242.73 | −1.49727 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −474.316 | − | 474.316i | −0.570091 | − | 0.570091i | ||||
\(833\) | −331.146 | + | 331.146i | −0.397534 | + | 0.397534i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 800.252i | − | 0.958386i | ||||||
\(836\) | −77.7621 | + | 77.7621i | −0.0930169 | + | 0.0930169i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −232.674 | − | 232.674i | −0.277654 | − | 0.277654i | ||||
\(839\) | 946.465i | 1.12809i | 0.825745 | + | 0.564043i | \(0.190755\pi\) | ||||
−0.825745 | + | 0.564043i | \(0.809245\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | − | 27.4541i | − | 0.0326446i | ||||||
\(842\) | 290.998i | 0.345604i | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | − | 59.8160i | − | 0.0708721i | ||||||
\(845\) | −255.903 | − | 255.903i | −0.302844 | − | 0.302844i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1163.75 | 1.37397 | ||||||||
\(848\) | 223.194 | 0.263201 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | − | 1160.74i | − | 1.36558i | ||||||
\(851\) | 827.375 | − | 227.088i | 0.972238 | − | 0.266848i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −718.017 | − | 718.017i | −0.841755 | − | 0.841755i | 0.147332 | − | 0.989087i | \(-0.452931\pi\) |
−0.989087 | + | 0.147332i | \(0.952931\pi\) | |||||||
\(854\) | − | 37.5663i | − | 0.0439886i | ||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −391.143 | + | 391.143i | −0.456943 | + | 0.456943i | ||||
\(857\) | −241.022 | + | 241.022i | −0.281239 | + | 0.281239i | −0.833603 | − | 0.552364i | \(-0.813726\pi\) |
0.552364 | + | 0.833603i | \(0.313726\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 944.215 | − | 944.215i | 1.09920 | − | 1.09920i | 0.104698 | − | 0.994504i | \(-0.466612\pi\) |
0.994504 | − | 0.104698i | \(-0.0333877\pi\) | |||||||
\(860\) | −360.143 | −0.418771 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 1102.94i | 1.27952i | ||||||||
\(863\) | −1108.91 | −1.28495 | −0.642473 | − | 0.766309i | \(-0.722091\pi\) | ||||
−0.642473 | + | 0.766309i | \(0.722091\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 417.182 | + | 417.182i | 0.482292 | + | 0.482292i | ||||
\(866\) | 241.116 | + | 241.116i | 0.278425 | + | 0.278425i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 103.933 | − | 103.933i | 0.119739 | − | 0.119739i | ||||
\(869\) | −722.706 | − | 722.706i | −0.831652 | − | 0.831652i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 343.008 | + | 343.008i | 0.393809 | + | 0.393809i | ||||
\(872\) | 311.515i | 0.357242i | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −81.8924 | + | 81.8924i | −0.0936984 | + | 0.0936984i | ||||
\(875\) | −161.255 | − | 161.255i | −0.184292 | − | 0.184292i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −696.297 | −0.793954 | −0.396977 | − | 0.917829i | \(-0.629941\pi\) | ||||
−0.396977 | + | 0.917829i | \(0.629941\pi\) | |||||||
\(878\) | 881.755i | 1.00428i | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 535.414 | + | 535.414i | 0.608425 | + | 0.608425i | ||||
\(881\) | 310.219i | 0.352121i | 0.984379 | + | 0.176061i | \(0.0563355\pi\) | ||||
−0.984379 | + | 0.176061i | \(0.943664\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 534.700 | + | 534.700i | 0.605549 | + | 0.605549i | 0.941780 | − | 0.336231i | \(-0.109152\pi\) |
−0.336231 | + | 0.941780i | \(0.609152\pi\) | |||||||
\(884\) | −505.129 | −0.571413 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 669.322 | − | 669.322i | 0.755443 | − | 0.755443i | ||||
\(887\) | − | 474.335i | − | 0.534764i | −0.963591 | − | 0.267382i | \(-0.913841\pi\) | ||
0.963591 | − | 0.267382i | \(-0.0861585\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −736.072 | −0.827977 | ||||||||
\(890\) | 1250.96 | + | 1250.96i | 1.40557 | + | 1.40557i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 641.285i | − | 0.718930i | ||||||
\(893\) | 78.6524 | − | 78.6524i | 0.0880766 | − | 0.0880766i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1293.53 | −1.44528 | ||||||||
\(896\) | 53.9783 | − | 53.9783i | 0.0602436 | − | 0.0602436i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −437.164 | −0.486820 | ||||||||
\(899\) | 421.008i | 0.468307i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 723.878 | − | 723.878i | 0.803416 | − | 0.803416i | ||||
\(902\) | 47.9414 | + | 47.9414i | 0.0531501 | + | 0.0531501i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −679.701 | −0.751882 | ||||||||
\(905\) | −717.524 | + | 717.524i | −0.792844 | + | 0.792844i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −729.638 | + | 729.638i | −0.804452 | + | 0.804452i | −0.983788 | − | 0.179336i | \(-0.942605\pi\) |
0.179336 | + | 0.983788i | \(0.442605\pi\) | |||||||
\(908\) | −227.356 | − | 227.356i | −0.250393 | − | 0.250393i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 475.717 | − | 475.717i | 0.522766 | − | 0.522766i | ||||
\(911\) | −199.232 | + | 199.232i | −0.218696 | + | 0.218696i | −0.807949 | − | 0.589253i | \(-0.799422\pi\) |
0.589253 | + | 0.807949i | \(0.299422\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 2044.04i | − | 2.23882i | ||||||
\(914\) | 352.634 | 0.385814 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 423.851i | 0.462720i | ||||||||
\(917\) | −503.291 | − | 503.291i | −0.548845 | − | 0.548845i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −77.9734 | − | 77.9734i | −0.0848459 | − | 0.0848459i | 0.663410 | − | 0.748256i | \(-0.269109\pi\) |
−0.748256 | + | 0.663410i | \(0.769109\pi\) | |||||||
\(920\) | −1051.26 | − | 1051.26i | −1.14267 | − | 1.14267i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1216.92 | 1.31987 | ||||||||
\(923\) | 717.047 | − | 717.047i | 0.776866 | − | 0.776866i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −558.704 | + | 981.419i | −0.604005 | + | 1.06099i | ||||
\(926\) | 495.037 | 0.534597 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 745.188i | 0.803004i | ||||||||
\(929\) | 1756.58i | 1.89083i | 0.325870 | + | 0.945415i | \(0.394343\pi\) | ||||
−0.325870 | + | 0.945415i | \(0.605657\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −43.4890 | + | 43.4890i | −0.0467122 | + | 0.0467122i | ||||
\(932\) | −60.3285 | −0.0647301 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 361.188 | 0.386711 | ||||||||
\(935\) | 3472.98 | 3.71441 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1070.63 | −1.14261 | −0.571306 | − | 0.820737i | \(-0.693563\pi\) | ||||
−0.571306 | + | 0.820737i | \(0.693563\pi\) | |||||||
\(938\) | 257.157 | − | 257.157i | 0.274154 | − | 0.274154i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 312.937 | + | 312.937i | 0.332911 | + | 0.332911i | ||||
\(941\) | −1074.54 | −1.14191 | −0.570957 | − | 0.820980i | \(-0.693428\pi\) | ||||
−0.570957 | + | 0.820980i | \(0.693428\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −41.1668 | − | 41.1668i | −0.0436552 | − | 0.0436552i | ||||
\(944\) | −258.146 | + | 258.146i | −0.273459 | + | 0.273459i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 726.484i | 0.767953i | ||||||||
\(947\) | 129.643 | − | 129.643i | 0.136899 | − | 0.136899i | −0.635336 | − | 0.772236i | \(-0.719139\pi\) |
0.772236 | + | 0.635336i | \(0.219139\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −677.989 | − | 677.989i | −0.714425 | − | 0.714425i | ||||
\(950\) | − | 152.439i | − | 0.160462i | ||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1221.85i | 1.28345i | ||||||||
\(953\) | − | 502.255i | − | 0.527025i | −0.964656 | − | 0.263512i | \(-0.915119\pi\) | ||
0.964656 | − | 0.263512i | \(-0.0848810\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 1308.32i | − | 1.36997i | ||||||
\(956\) | −9.65032 | − | 9.65032i | −0.0100945 | − | 0.0100945i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −118.058 | −0.123233 | ||||||||
\(959\) | 83.8101 | 0.0873932 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 743.130i | − | 0.773288i | ||||||
\(962\) | −523.793 | − | 298.186i | −0.544483 | − | 0.309965i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −475.635 | − | 475.635i | −0.493398 | − | 0.493398i | ||||
\(965\) | 695.992i | 0.721236i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −85.0575 | + | 85.0575i | −0.0879602 | + | 0.0879602i | −0.749718 | − | 0.661758i | \(-0.769811\pi\) |
0.661758 | + | 0.749718i | \(0.269811\pi\) | |||||||
\(968\) | −1277.46 | + | 1277.46i | −1.31969 | + | 1.31969i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 71.0159 | − | 71.0159i | 0.0732122 | − | 0.0732122i | ||||
\(971\) | 496.661 | 0.511494 | 0.255747 | − | 0.966744i | \(-0.417679\pi\) | ||||
0.255747 | + | 0.966744i | \(0.417679\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1211.72i | 1.24535i | ||||||||
\(974\) | −319.955 | −0.328496 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 18.0345 | + | 18.0345i | 0.0184779 | + | 0.0184779i | ||||
\(977\) | −1186.94 | − | 1186.94i | −1.21488 | − | 1.21488i | −0.969402 | − | 0.245479i | \(-0.921055\pi\) |
−0.245479 | − | 0.969402i | \(-0.578945\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2057.57 | + | 2057.57i | −2.10171 | + | 2.10171i | ||||
\(980\) | −173.031 | − | 173.031i | −0.176562 | − | 0.176562i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −512.205 | − | 512.205i | −0.521594 | − | 0.521594i | ||||
\(983\) | − | 1471.76i | − | 1.49721i | −0.663017 | − | 0.748605i | \(-0.730724\pi\) | ||
0.663017 | − | 0.748605i | \(-0.269276\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 312.568 | − | 312.568i | 0.317328 | − | 0.317328i | ||||
\(986\) | −767.012 | − | 767.012i | −0.777903 | − | 0.777903i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −66.3381 | −0.0671438 | ||||||||
\(989\) | − | 623.824i | − | 0.630763i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 672.226 | + | 672.226i | 0.678331 | + | 0.678331i | 0.959622 | − | 0.281291i | \(-0.0907628\pi\) |
−0.281291 | + | 0.959622i | \(0.590763\pi\) | |||||||
\(992\) | 385.633i | 0.388743i | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −537.578 | − | 537.578i | −0.540823 | − | 0.540823i | ||||
\(995\) | −258.142 | −0.259439 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −584.483 | + | 584.483i | −0.586242 | + | 0.586242i | −0.936611 | − | 0.350370i | \(-0.886056\pi\) |
0.350370 | + | 0.936611i | \(0.386056\pi\) | |||||||
\(998\) | − | 1236.00i | − | 1.23848i | ||||||
\(999\) | 0 | 0 |
(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 | 333.3.i.a.253.4 | 12 | ||
3.2 | odd | 2 | 37.3.d.a.31.3 | yes | 12 | ||
12.11 | even | 2 | 592.3.k.e.401.3 | 12 | |||
37.6 | odd | 4 | inner | 333.3.i.a.154.4 | 12 | ||
111.80 | even | 4 | 37.3.d.a.6.3 | ✓ | 12 | ||
444.191 | odd | 4 | 592.3.k.e.561.4 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.3.d.a.6.3 | ✓ | 12 | 111.80 | even | 4 | ||
37.3.d.a.31.3 | yes | 12 | 3.2 | odd | 2 | ||
333.3.i.a.154.4 | 12 | 37.6 | odd | 4 | inner | ||
333.3.i.a.253.4 | 12 | 1.1 | even | 1 | trivial | ||
592.3.k.e.401.3 | 12 | 12.11 | even | 2 | |||
592.3.k.e.561.4 | 12 | 444.191 | odd | 4 |