Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,2,Mod(155,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.155");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.s (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: | \(2.68297350792\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 155.3 | ||
Character | \(\chi\) | \(=\) | 336.155 |
Dual form | 336.2.s.d.323.3 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30954 | + | 0.533943i | −0.925987 | + | 0.377554i | ||||
\(3\) | 1.26449 | + | 1.18367i | 0.730054 | + | 0.683390i | ||||
\(4\) | 1.42981 | − | 1.39844i | 0.714905 | − | 0.699221i | ||||
\(5\) | 1.97913 | − | 1.97913i | 0.885093 | − | 0.885093i | −0.108954 | − | 0.994047i | \(-0.534750\pi\) |
0.994047 | + | 0.108954i | \(0.0347502\pi\) | |||||||
\(6\) | −2.28791 | − | 0.874897i | −0.934037 | − | 0.357175i | ||||
\(7\) | 1.00000 | 0.377964 | ||||||||
\(8\) | −1.12571 | + | 2.59476i | −0.397999 | + | 0.917386i | ||||
\(9\) | 0.197870 | + | 2.99347i | 0.0659566 | + | 0.997822i | ||||
\(10\) | −1.53501 | + | 3.64849i | −0.485414 | + | 1.15376i | ||||
\(11\) | −0.735190 | − | 0.735190i | −0.221668 | − | 0.221668i | 0.587532 | − | 0.809201i | \(-0.300099\pi\) |
−0.809201 | + | 0.587532i | \(0.800099\pi\) | |||||||
\(12\) | 3.46327 | − | 0.0758987i | 0.999760 | − | 0.0219101i | ||||
\(13\) | 2.83849 | − | 2.83849i | 0.787256 | − | 0.787256i | −0.193787 | − | 0.981044i | \(-0.562077\pi\) |
0.981044 | + | 0.193787i | \(0.0620771\pi\) | |||||||
\(14\) | −1.30954 | + | 0.533943i | −0.349990 | + | 0.142702i | ||||
\(15\) | 4.84521 | − | 0.159961i | 1.25103 | − | 0.0413018i | ||||
\(16\) | 0.0887163 | − | 3.99902i | 0.0221791 | − | 0.999754i | ||||
\(17\) | − | 3.89383i | − | 0.944391i | −0.881494 | − | 0.472196i | \(-0.843462\pi\) | ||
0.881494 | − | 0.472196i | \(-0.156538\pi\) | |||||||
\(18\) | −1.85746 | − | 3.81443i | −0.437807 | − | 0.899069i | ||||
\(19\) | −2.65054 | − | 2.65054i | −0.608075 | − | 0.608075i | 0.334367 | − | 0.942443i | \(-0.391477\pi\) |
−0.942443 | + | 0.334367i | \(0.891477\pi\) | |||||||
\(20\) | 0.0620810 | − | 5.59747i | 0.0138817 | − | 1.25163i | ||||
\(21\) | 1.26449 | + | 1.18367i | 0.275934 | + | 0.258297i | ||||
\(22\) | 1.35531 | + | 0.570214i | 0.288954 | + | 0.121570i | ||||
\(23\) | 4.59167i | 0.957429i | 0.877971 | + | 0.478715i | \(0.158897\pi\) | ||||
−0.877971 | + | 0.478715i | \(0.841103\pi\) | |||||||
\(24\) | −4.49478 | + | 1.94858i | −0.917493 | + | 0.397752i | ||||
\(25\) | − | 2.83389i | − | 0.566778i | ||||||
\(26\) | −2.20154 | + | 5.23272i | −0.431757 | + | 1.02622i | ||||
\(27\) | −3.29306 | + | 4.01942i | −0.633750 | + | 0.773538i | ||||
\(28\) | 1.42981 | − | 1.39844i | 0.270209 | − | 0.264281i | ||||
\(29\) | 6.93183 | + | 6.93183i | 1.28721 | + | 1.28721i | 0.936476 | + | 0.350732i | \(0.114067\pi\) |
0.350732 | + | 0.936476i | \(0.385933\pi\) | |||||||
\(30\) | −6.25961 | + | 2.79654i | −1.14284 | + | 0.510576i | ||||
\(31\) | 6.03914i | 1.08466i | 0.840165 | + | 0.542331i | \(0.182458\pi\) | ||||
−0.840165 | + | 0.542331i | \(0.817542\pi\) | |||||||
\(32\) | 2.01907 | + | 5.28426i | 0.356924 | + | 0.934133i | ||||
\(33\) | −0.0594210 | − | 1.79986i | −0.0103439 | − | 0.313315i | ||||
\(34\) | 2.07908 | + | 5.09914i | 0.356559 | + | 0.874495i | ||||
\(35\) | 1.97913 | − | 1.97913i | 0.334534 | − | 0.334534i | ||||
\(36\) | 4.46911 | + | 4.00338i | 0.744852 | + | 0.667230i | ||||
\(37\) | −7.23258 | − | 7.23258i | −1.18903 | − | 1.18903i | −0.977336 | − | 0.211693i | \(-0.932102\pi\) |
−0.211693 | − | 0.977336i | \(-0.567898\pi\) | |||||||
\(38\) | 4.88623 | + | 2.05576i | 0.792652 | + | 0.333489i | ||||
\(39\) | 6.94907 | − | 0.229419i | 1.11274 | − | 0.0367364i | ||||
\(40\) | 2.90743 | + | 7.36328i | 0.459705 | + | 1.16424i | ||||
\(41\) | −0.424100 | −0.0662333 | −0.0331166 | − | 0.999451i | \(-0.510543\pi\) | ||||
−0.0331166 | + | 0.999451i | \(0.510543\pi\) | |||||||
\(42\) | −2.28791 | − | 0.874897i | −0.353033 | − | 0.135000i | ||||
\(43\) | −1.72961 | + | 1.72961i | −0.263763 | + | 0.263763i | −0.826581 | − | 0.562818i | \(-0.809717\pi\) |
0.562818 | + | 0.826581i | \(0.309717\pi\) | |||||||
\(44\) | −2.07930 | − | 0.0230613i | −0.313467 | − | 0.00347663i | ||||
\(45\) | 6.31606 | + | 5.53284i | 0.941543 | + | 0.824788i | ||||
\(46\) | −2.45169 | − | 6.01299i | −0.361482 | − | 0.886567i | ||||
\(47\) | −3.45146 | −0.503448 | −0.251724 | − | 0.967799i | \(-0.580997\pi\) | ||||
−0.251724 | + | 0.967799i | \(0.580997\pi\) | |||||||
\(48\) | 4.84568 | − | 4.95171i | 0.699414 | − | 0.714717i | ||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | 1.51313 | + | 3.71110i | 0.213990 | + | 0.524829i | ||||
\(51\) | 4.60899 | − | 4.92370i | 0.645388 | − | 0.689456i | ||||
\(52\) | 0.0890375 | − | 8.02798i | 0.0123473 | − | 1.11328i | ||||
\(53\) | −7.07724 | + | 7.07724i | −0.972133 | + | 0.972133i | −0.999622 | − | 0.0274890i | \(-0.991249\pi\) |
0.0274890 | + | 0.999622i | \(0.491249\pi\) | |||||||
\(54\) | 2.16627 | − | 7.02191i | 0.294792 | − | 0.955562i | ||||
\(55\) | −2.91007 | −0.392394 | ||||||||
\(56\) | −1.12571 | + | 2.59476i | −0.150430 | + | 0.346739i | ||||
\(57\) | −0.214227 | − | 6.48893i | −0.0283751 | − | 0.859480i | ||||
\(58\) | −12.7787 | − | 5.37633i | −1.67793 | − | 0.705947i | ||||
\(59\) | 1.95980 | + | 1.95980i | 0.255144 | + | 0.255144i | 0.823076 | − | 0.567931i | \(-0.192256\pi\) |
−0.567931 | + | 0.823076i | \(0.692256\pi\) | |||||||
\(60\) | 6.70404 | − | 7.00447i | 0.865488 | − | 0.904273i | ||||
\(61\) | −0.0653394 | + | 0.0653394i | −0.00836586 | + | 0.00836586i | −0.711277 | − | 0.702911i | \(-0.751883\pi\) |
0.702911 | + | 0.711277i | \(0.251883\pi\) | |||||||
\(62\) | −3.22455 | − | 7.90852i | −0.409519 | − | 1.00438i | ||||
\(63\) | 0.197870 | + | 2.99347i | 0.0249293 | + | 0.377141i | ||||
\(64\) | −5.46555 | − | 5.84190i | −0.683193 | − | 0.730237i | ||||
\(65\) | − | 11.2355i | − | 1.39359i | ||||||
\(66\) | 1.03884 | + | 2.32527i | 0.127872 | + | 0.286221i | ||||
\(67\) | 9.77673 | + | 9.77673i | 1.19442 | + | 1.19442i | 0.975814 | + | 0.218604i | \(0.0701503\pi\) |
0.218604 | + | 0.975814i | \(0.429850\pi\) | |||||||
\(68\) | −5.44529 | − | 5.56743i | −0.660339 | − | 0.675150i | ||||
\(69\) | −5.43500 | + | 5.80612i | −0.654297 | + | 0.698975i | ||||
\(70\) | −1.53501 | + | 3.64849i | −0.183469 | + | 0.436078i | ||||
\(71\) | − | 8.50810i | − | 1.00973i | −0.863200 | − | 0.504863i | \(-0.831543\pi\) | ||
0.863200 | − | 0.504863i | \(-0.168457\pi\) | |||||||
\(72\) | −7.99007 | − | 2.85636i | −0.941639 | − | 0.336625i | ||||
\(73\) | − | 5.13683i | − | 0.601221i | −0.953747 | − | 0.300610i | \(-0.902810\pi\) | ||
0.953747 | − | 0.300610i | \(-0.0971904\pi\) | |||||||
\(74\) | 13.3332 | + | 5.60960i | 1.54995 | + | 0.652103i | ||||
\(75\) | 3.35438 | − | 3.58342i | 0.387330 | − | 0.413778i | ||||
\(76\) | −7.49640 | − | 0.0831418i | −0.859896 | − | 0.00953701i | ||||
\(77\) | −0.735190 | − | 0.735190i | −0.0837827 | − | 0.0837827i | ||||
\(78\) | −8.97762 | + | 4.01084i | −1.01652 | + | 0.454138i | ||||
\(79\) | 2.65552i | 0.298769i | 0.988779 | + | 0.149384i | \(0.0477292\pi\) | ||||
−0.988779 | + | 0.149384i | \(0.952271\pi\) | |||||||
\(80\) | −7.73898 | − | 8.09014i | −0.865244 | − | 0.904505i | ||||
\(81\) | −8.92169 | + | 1.18463i | −0.991299 | + | 0.131626i | ||||
\(82\) | 0.555377 | − | 0.226445i | 0.0613312 | − | 0.0250067i | ||||
\(83\) | 0.666819 | − | 0.666819i | 0.0731929 | − | 0.0731929i | −0.669563 | − | 0.742756i | \(-0.733518\pi\) |
0.742756 | + | 0.669563i | \(0.233518\pi\) | |||||||
\(84\) | 3.46327 | − | 0.0758987i | 0.377874 | − | 0.00828123i | ||||
\(85\) | −7.70638 | − | 7.70638i | −0.835874 | − | 0.835874i | ||||
\(86\) | 1.34149 | − | 3.18851i | 0.144656 | − | 0.343826i | ||||
\(87\) | 0.560258 | + | 16.9702i | 0.0600660 | + | 1.81940i | ||||
\(88\) | 2.73525 | − | 1.08003i | 0.291579 | − | 0.115131i | ||||
\(89\) | −14.1865 | −1.50376 | −0.751882 | − | 0.659298i | \(-0.770854\pi\) | ||||
−0.751882 | + | 0.659298i | \(0.770854\pi\) | |||||||
\(90\) | −11.2254 | − | 3.87309i | −1.18326 | − | 0.408259i | ||||
\(91\) | 2.83849 | − | 2.83849i | 0.297555 | − | 0.297555i | ||||
\(92\) | 6.42119 | + | 6.56522i | 0.669455 | + | 0.684471i | ||||
\(93\) | −7.14832 | + | 7.63643i | −0.741246 | + | 0.791861i | ||||
\(94\) | 4.51984 | − | 1.84288i | 0.466186 | − | 0.190079i | ||||
\(95\) | −10.4915 | −1.07641 | ||||||||
\(96\) | −3.70170 | + | 9.07179i | −0.377804 | + | 0.925886i | ||||
\(97\) | −11.9786 | −1.21625 | −0.608123 | − | 0.793843i | \(-0.708077\pi\) | ||||
−0.608123 | + | 0.793843i | \(0.708077\pi\) | |||||||
\(98\) | −1.30954 | + | 0.533943i | −0.132284 | + | 0.0539364i | ||||
\(99\) | 2.05530 | − | 2.34624i | 0.206565 | − | 0.235806i | ||||
\(100\) | −3.96303 | − | 4.05192i | −0.396303 | − | 0.405192i | ||||
\(101\) | 12.3027 | − | 12.3027i | 1.22416 | − | 1.22416i | 0.258027 | − | 0.966138i | \(-0.416928\pi\) |
0.966138 | − | 0.258027i | \(-0.0830723\pi\) | |||||||
\(102\) | −3.40670 | + | 8.90874i | −0.337313 | + | 0.882097i | ||||
\(103\) | −8.78406 | −0.865519 | −0.432760 | − | 0.901509i | \(-0.642460\pi\) | ||||
−0.432760 | + | 0.901509i | \(0.642460\pi\) | |||||||
\(104\) | 4.16988 | + | 10.5605i | 0.408890 | + | 1.03555i | ||||
\(105\) | 4.84521 | − | 0.159961i | 0.472844 | − | 0.0156106i | ||||
\(106\) | 5.48911 | − | 13.0468i | 0.533150 | − | 1.26722i | ||||
\(107\) | −11.7876 | − | 11.7876i | −1.13955 | − | 1.13955i | −0.988531 | − | 0.151021i | \(-0.951744\pi\) |
−0.151021 | − | 0.988531i | \(-0.548256\pi\) | |||||||
\(108\) | 0.912477 | + | 10.3522i | 0.0878032 | + | 0.996138i | ||||
\(109\) | 0.978979 | − | 0.978979i | 0.0937692 | − | 0.0937692i | −0.658666 | − | 0.752435i | \(-0.728879\pi\) |
0.752435 | + | 0.658666i | \(0.228879\pi\) | |||||||
\(110\) | 3.81086 | − | 1.55381i | 0.363352 | − | 0.148150i | ||||
\(111\) | −0.584567 | − | 17.7065i | −0.0554846 | − | 1.68063i | ||||
\(112\) | 0.0887163 | − | 3.99902i | 0.00838290 | − | 0.377871i | ||||
\(113\) | − | 7.35599i | − | 0.691993i | −0.938236 | − | 0.345997i | \(-0.887541\pi\) | ||
0.938236 | − | 0.345997i | \(-0.112459\pi\) | |||||||
\(114\) | 3.74526 | + | 8.38316i | 0.350776 | + | 0.785155i | ||||
\(115\) | 9.08750 | + | 9.08750i | 0.847413 | + | 0.847413i | ||||
\(116\) | 19.6050 | + | 0.217437i | 1.82027 | + | 0.0201885i | ||||
\(117\) | 9.05859 | + | 7.93528i | 0.837467 | + | 0.733617i | ||||
\(118\) | −3.61287 | − | 1.52002i | −0.332591 | − | 0.139930i | ||||
\(119\) | − | 3.89383i | − | 0.356946i | ||||||
\(120\) | −5.03925 | + | 12.7522i | −0.460019 | + | 1.16411i | ||||
\(121\) | − | 9.91899i | − | 0.901726i | ||||||
\(122\) | 0.0506773 | − | 0.120452i | 0.00458811 | − | 0.0109052i | ||||
\(123\) | −0.536270 | − | 0.501992i | −0.0483538 | − | 0.0452631i | ||||
\(124\) | 8.44539 | + | 8.63482i | 0.758418 | + | 0.775430i | ||||
\(125\) | 4.28701 | + | 4.28701i | 0.383442 | + | 0.383442i | ||||
\(126\) | −1.85746 | − | 3.81443i | −0.165476 | − | 0.339816i | ||||
\(127\) | 20.2328i | 1.79537i | 0.440639 | + | 0.897684i | \(0.354752\pi\) | ||||
−0.440639 | + | 0.897684i | \(0.645248\pi\) | |||||||
\(128\) | 10.2766 | + | 4.73194i | 0.908333 | + | 0.418248i | ||||
\(129\) | −4.23435 | + | 0.139794i | −0.372814 | + | 0.0123082i | ||||
\(130\) | 5.99910 | + | 14.7134i | 0.526156 | + | 1.29045i | ||||
\(131\) | 6.06303 | − | 6.06303i | 0.529729 | − | 0.529729i | −0.390762 | − | 0.920492i | \(-0.627789\pi\) |
0.920492 | + | 0.390762i | \(0.127789\pi\) | |||||||
\(132\) | −2.60196 | − | 2.49036i | −0.226472 | − | 0.216758i | ||||
\(133\) | −2.65054 | − | 2.65054i | −0.229831 | − | 0.229831i | ||||
\(134\) | −18.0233 | − | 7.58284i | −1.55697 | − | 0.655058i | ||||
\(135\) | 1.43756 | + | 14.4723i | 0.123725 | + | 1.24558i | ||||
\(136\) | 10.1035 | + | 4.38332i | 0.866371 | + | 0.375867i | ||||
\(137\) | −17.4916 | −1.49441 | −0.747205 | − | 0.664594i | \(-0.768605\pi\) | ||||
−0.747205 | + | 0.664594i | \(0.768605\pi\) | |||||||
\(138\) | 4.01724 | − | 10.5053i | 0.341970 | − | 0.894275i | ||||
\(139\) | −1.84549 | + | 1.84549i | −0.156532 | + | 0.156532i | −0.781028 | − | 0.624496i | \(-0.785305\pi\) |
0.624496 | + | 0.781028i | \(0.285305\pi\) | |||||||
\(140\) | 0.0620810 | − | 5.59747i | 0.00524680 | − | 0.473073i | ||||
\(141\) | −4.36434 | − | 4.08538i | −0.367544 | − | 0.344051i | ||||
\(142\) | 4.54284 | + | 11.1417i | 0.381226 | + | 0.934993i | ||||
\(143\) | −4.17366 | −0.349019 | ||||||||
\(144\) | 11.9885 | − | 0.525716i | 0.999040 | − | 0.0438096i | ||||
\(145\) | 27.4379 | 2.27860 | ||||||||
\(146\) | 2.74277 | + | 6.72691i | 0.226994 | + | 0.556723i | ||||
\(147\) | 1.26449 | + | 1.18367i | 0.104293 | + | 0.0976271i | ||||
\(148\) | −20.4556 | − | 0.226871i | −1.68144 | − | 0.0186487i | ||||
\(149\) | 2.57107 | − | 2.57107i | 0.210630 | − | 0.210630i | −0.593905 | − | 0.804535i | \(-0.702414\pi\) |
0.804535 | + | 0.593905i | \(0.202414\pi\) | |||||||
\(150\) | −2.47936 | + | 6.48370i | −0.202439 | + | 0.529392i | ||||
\(151\) | −2.94402 | −0.239581 | −0.119790 | − | 0.992799i | \(-0.538222\pi\) | ||||
−0.119790 | + | 0.992799i | \(0.538222\pi\) | |||||||
\(152\) | 9.86125 | − | 3.89377i | 0.799853 | − | 0.315826i | ||||
\(153\) | 11.6560 | − | 0.770471i | 0.942335 | − | 0.0622889i | ||||
\(154\) | 1.35531 | + | 0.570214i | 0.109214 | + | 0.0459492i | ||||
\(155\) | 11.9522 | + | 11.9522i | 0.960026 | + | 0.960026i | ||||
\(156\) | 9.61503 | − | 10.0459i | 0.769819 | − | 0.804316i | ||||
\(157\) | 6.36388 | − | 6.36388i | 0.507893 | − | 0.507893i | −0.405986 | − | 0.913879i | \(-0.633072\pi\) |
0.913879 | + | 0.405986i | \(0.133072\pi\) | |||||||
\(158\) | −1.41789 | − | 3.47751i | −0.112802 | − | 0.276656i | ||||
\(159\) | −17.3262 | + | 0.572011i | −1.37406 | + | 0.0453634i | ||||
\(160\) | 14.4542 | + | 6.46222i | 1.14271 | + | 0.510884i | ||||
\(161\) | 4.59167i | 0.361874i | ||||||||
\(162\) | 11.0508 | − | 6.31500i | 0.868235 | − | 0.496154i | ||||
\(163\) | −10.4613 | − | 10.4613i | −0.819389 | − | 0.819389i | 0.166631 | − | 0.986019i | \(-0.446711\pi\) |
−0.986019 | + | 0.166631i | \(0.946711\pi\) | |||||||
\(164\) | −0.606382 | + | 0.593079i | −0.0473505 | + | 0.0463117i | ||||
\(165\) | −3.67975 | − | 3.44455i | −0.286468 | − | 0.268158i | ||||
\(166\) | −0.517186 | + | 1.22927i | −0.0401414 | + | 0.0954100i | ||||
\(167\) | 5.87517i | 0.454635i | 0.973821 | + | 0.227317i | \(0.0729954\pi\) | ||||
−0.973821 | + | 0.227317i | \(0.927005\pi\) | |||||||
\(168\) | −4.49478 | + | 1.94858i | −0.346780 | + | 0.150336i | ||||
\(169\) | − | 3.11409i | − | 0.239545i | ||||||
\(170\) | 14.2066 | + | 5.97708i | 1.08960 | + | 0.458421i | ||||
\(171\) | 7.40984 | − | 8.45877i | 0.566645 | − | 0.646858i | ||||
\(172\) | −0.0542542 | + | 4.89177i | −0.00413684 | + | 0.372994i | ||||
\(173\) | 5.65527 | + | 5.65527i | 0.429962 | + | 0.429962i | 0.888615 | − | 0.458653i | \(-0.151668\pi\) |
−0.458653 | + | 0.888615i | \(0.651668\pi\) | |||||||
\(174\) | −9.79479 | − | 21.9241i | −0.742541 | − | 1.66206i | ||||
\(175\) | − | 2.83389i | − | 0.214222i | ||||||
\(176\) | −3.00526 | + | 2.87481i | −0.226530 | + | 0.216697i | ||||
\(177\) | 0.158399 | + | 4.79790i | 0.0119060 | + | 0.360632i | ||||
\(178\) | 18.5778 | − | 7.57477i | 1.39247 | − | 0.567753i | ||||
\(179\) | −9.77837 | + | 9.77837i | −0.730870 | + | 0.730870i | −0.970792 | − | 0.239922i | \(-0.922878\pi\) |
0.239922 | + | 0.970792i | \(0.422878\pi\) | |||||||
\(180\) | 16.7681 | − | 0.921734i | 1.24982 | − | 0.0687020i | ||||
\(181\) | 17.5393 | + | 17.5393i | 1.30369 | + | 1.30369i | 0.925887 | + | 0.377801i | \(0.123320\pi\) |
0.377801 | + | 0.925887i | \(0.376680\pi\) | |||||||
\(182\) | −2.20154 | + | 5.23272i | −0.163189 | + | 0.387875i | ||||
\(183\) | −0.159961 | + | 0.00528100i | −0.0118247 | + | 0.000390383i | ||||
\(184\) | −11.9143 | − | 5.16889i | −0.878332 | − | 0.381056i | ||||
\(185\) | −28.6284 | −2.10480 | ||||||||
\(186\) | 5.28363 | − | 13.8170i | 0.387414 | − | 1.01311i | ||||
\(187\) | −2.86270 | + | 2.86270i | −0.209341 | + | 0.209341i | ||||
\(188\) | −4.93494 | + | 4.82667i | −0.359917 | + | 0.352021i | ||||
\(189\) | −3.29306 | + | 4.01942i | −0.239535 | + | 0.292370i | ||||
\(190\) | 13.7391 | − | 5.60186i | 0.996739 | − | 0.406402i | ||||
\(191\) | −10.8068 | −0.781954 | −0.390977 | − | 0.920400i | \(-0.627863\pi\) | ||||
−0.390977 | + | 0.920400i | \(0.627863\pi\) | |||||||
\(192\) | 0.00372809 | − | 13.8564i | 0.000269052 | − | 1.00000i | ||||
\(193\) | 0.865334 | 0.0622881 | 0.0311441 | − | 0.999515i | \(-0.490085\pi\) | ||||
0.0311441 | + | 0.999515i | \(0.490085\pi\) | |||||||
\(194\) | 15.6866 | − | 6.39590i | 1.12623 | − | 0.459199i | ||||
\(195\) | 13.2991 | − | 14.2072i | 0.952365 | − | 1.01740i | ||||
\(196\) | 1.42981 | − | 1.39844i | 0.102129 | − | 0.0998888i | ||||
\(197\) | −8.43635 | + | 8.43635i | −0.601065 | + | 0.601065i | −0.940595 | − | 0.339530i | \(-0.889732\pi\) |
0.339530 | + | 0.940595i | \(0.389732\pi\) | |||||||
\(198\) | −1.43874 | + | 4.16991i | −0.102247 | + | 0.296343i | ||||
\(199\) | 15.9750 | 1.13244 | 0.566218 | − | 0.824256i | \(-0.308406\pi\) | ||||
0.566218 | + | 0.824256i | \(0.308406\pi\) | |||||||
\(200\) | 7.35326 | + | 3.19014i | 0.519954 | + | 0.225577i | ||||
\(201\) | 0.790195 | + | 23.9350i | 0.0557361 | + | 1.68824i | ||||
\(202\) | −9.54199 | + | 22.6799i | −0.671372 | + | 1.59575i | ||||
\(203\) | 6.93183 | + | 6.93183i | 0.486519 | + | 0.486519i | ||||
\(204\) | −0.295536 | − | 13.4854i | −0.0206917 | − | 0.944165i | ||||
\(205\) | −0.839347 | + | 0.839347i | −0.0586226 | + | 0.0586226i | ||||
\(206\) | 11.5031 | − | 4.69018i | 0.801460 | − | 0.326781i | ||||
\(207\) | −13.7450 | + | 0.908553i | −0.955344 | + | 0.0631488i | ||||
\(208\) | −11.0994 | − | 11.6030i | −0.769602 | − | 0.804523i | ||||
\(209\) | 3.89730i | 0.269582i | ||||||||
\(210\) | −6.25961 | + | 2.79654i | −0.431954 | + | 0.192980i | ||||
\(211\) | 0.568585 | + | 0.568585i | 0.0391430 | + | 0.0391430i | 0.726407 | − | 0.687264i | \(-0.241189\pi\) |
−0.687264 | + | 0.726407i | \(0.741189\pi\) | |||||||
\(212\) | −0.221998 | + | 20.0162i | −0.0152469 | + | 1.37472i | ||||
\(213\) | 10.0707 | − | 10.7584i | 0.690036 | − | 0.737154i | ||||
\(214\) | 21.7303 | + | 9.14249i | 1.48545 | + | 0.624968i | ||||
\(215\) | 6.84623i | 0.466909i | ||||||||
\(216\) | −6.72239 | − | 13.0694i | −0.457401 | − | 0.889261i | ||||
\(217\) | 6.03914i | 0.409963i | ||||||||
\(218\) | −0.759297 | + | 1.80473i | −0.0514261 | + | 0.122232i | ||||
\(219\) | 6.08030 | − | 6.49548i | 0.410868 | − | 0.438924i | ||||
\(220\) | −4.16085 | + | 4.06956i | −0.280524 | + | 0.274370i | ||||
\(221\) | −11.0526 | − | 11.0526i | −0.743478 | − | 0.743478i | ||||
\(222\) | 10.2198 | + | 22.8753i | 0.685906 | + | 1.53529i | ||||
\(223\) | − | 10.5154i | − | 0.704163i | −0.935969 | − | 0.352081i | \(-0.885474\pi\) | ||
0.935969 | − | 0.352081i | \(-0.114526\pi\) | |||||||
\(224\) | 2.01907 | + | 5.28426i | 0.134905 | + | 0.353069i | ||||
\(225\) | 8.48316 | − | 0.560741i | 0.565544 | − | 0.0373828i | ||||
\(226\) | 3.92768 | + | 9.63299i | 0.261265 | + | 0.640777i | ||||
\(227\) | 18.4341 | − | 18.4341i | 1.22352 | − | 1.22352i | 0.257144 | − | 0.966373i | \(-0.417219\pi\) |
0.966373 | − | 0.257144i | \(-0.0827814\pi\) | |||||||
\(228\) | −9.38071 | − | 8.97836i | −0.621252 | − | 0.594606i | ||||
\(229\) | 8.85041 | + | 8.85041i | 0.584851 | + | 0.584851i | 0.936232 | − | 0.351381i | \(-0.114288\pi\) |
−0.351381 | + | 0.936232i | \(0.614288\pi\) | |||||||
\(230\) | −16.7527 | − | 7.04827i | −1.10464 | − | 0.464749i | ||||
\(231\) | −0.0594210 | − | 1.79986i | −0.00390962 | − | 0.118422i | ||||
\(232\) | −25.7897 | + | 10.1832i | −1.69317 | + | 0.668558i | ||||
\(233\) | −2.34164 | −0.153406 | −0.0767030 | − | 0.997054i | \(-0.524439\pi\) | ||||
−0.0767030 | + | 0.997054i | \(0.524439\pi\) | |||||||
\(234\) | −16.0996 | − | 5.55484i | −1.05246 | − | 0.363131i | ||||
\(235\) | −6.83089 | + | 6.83089i | −0.445598 | + | 0.445598i | ||||
\(236\) | 5.54281 | + | 0.0614748i | 0.360806 | + | 0.00400167i | ||||
\(237\) | −3.14324 | + | 3.35787i | −0.204176 | + | 0.218117i | ||||
\(238\) | 2.07908 | + | 5.09914i | 0.134767 | + | 0.330528i | ||||
\(239\) | −4.23101 | −0.273681 | −0.136841 | − | 0.990593i | \(-0.543695\pi\) | ||||
−0.136841 | + | 0.990593i | \(0.543695\pi\) | |||||||
\(240\) | −0.209838 | − | 19.3903i | −0.0135450 | − | 1.25164i | ||||
\(241\) | −7.44279 | −0.479432 | −0.239716 | − | 0.970843i | \(-0.577054\pi\) | ||||
−0.239716 | + | 0.970843i | \(0.577054\pi\) | |||||||
\(242\) | 5.29617 | + | 12.9894i | 0.340451 | + | 0.834987i | ||||
\(243\) | −12.6836 | − | 9.06235i | −0.813654 | − | 0.581350i | ||||
\(244\) | −0.00204956 | + | 0.184796i | −0.000131210 | + | 0.0118304i | ||||
\(245\) | 1.97913 | − | 1.97913i | 0.126442 | − | 0.126442i | ||||
\(246\) | 0.970304 | + | 0.371044i | 0.0618643 | + | 0.0236569i | ||||
\(247\) | −15.0471 | −0.957423 | ||||||||
\(248\) | −15.6701 | − | 6.79833i | −0.995053 | − | 0.431694i | ||||
\(249\) | 1.63248 | − | 0.0538950i | 0.103454 | − | 0.00341546i | ||||
\(250\) | −7.90304 | − | 3.32501i | −0.499832 | − | 0.210292i | ||||
\(251\) | 2.89305 | + | 2.89305i | 0.182607 | + | 0.182607i | 0.792491 | − | 0.609884i | \(-0.208784\pi\) |
−0.609884 | + | 0.792491i | \(0.708784\pi\) | |||||||
\(252\) | 4.46911 | + | 4.00338i | 0.281527 | + | 0.252189i | ||||
\(253\) | 3.37575 | − | 3.37575i | 0.212231 | − | 0.212231i | ||||
\(254\) | −10.8031 | − | 26.4957i | −0.677849 | − | 1.66249i | ||||
\(255\) | −0.622861 | − | 18.8664i | −0.0390050 | − | 1.18146i | ||||
\(256\) | −15.9843 | − | 0.709556i | −0.999016 | − | 0.0443472i | ||||
\(257\) | 17.5346i | 1.09378i | 0.837206 | + | 0.546888i | \(0.184188\pi\) | ||||
−0.837206 | + | 0.546888i | \(0.815812\pi\) | |||||||
\(258\) | 5.47043 | − | 2.44397i | 0.340574 | − | 0.152155i | ||||
\(259\) | −7.23258 | − | 7.23258i | −0.449411 | − | 0.449411i | ||||
\(260\) | −15.7122 | − | 16.0646i | −0.974428 | − | 0.996285i | ||||
\(261\) | −19.3786 | + | 22.1218i | −1.19950 | + | 1.36930i | ||||
\(262\) | −4.70249 | + | 11.1771i | −0.290521 | + | 0.690524i | ||||
\(263\) | − | 27.4008i | − | 1.68961i | −0.535077 | − | 0.844803i | \(-0.679717\pi\) | ||
0.535077 | − | 0.844803i | \(-0.320283\pi\) | |||||||
\(264\) | 4.73709 | + | 1.87194i | 0.291548 | + | 0.115210i | ||||
\(265\) | 28.0135i | 1.72086i | ||||||||
\(266\) | 4.88623 | + | 2.05576i | 0.299594 | + | 0.126047i | ||||
\(267\) | −17.9387 | − | 16.7921i | −1.09783 | − | 1.02766i | ||||
\(268\) | 27.6511 | + | 0.306675i | 1.68906 | + | 0.0187332i | ||||
\(269\) | 16.5057 | + | 16.5057i | 1.00637 | + | 1.00637i | 0.999980 | + | 0.00638853i | \(0.00203354\pi\) |
0.00638853 | + | 0.999980i | \(0.497966\pi\) | |||||||
\(270\) | −9.60994 | − | 18.1846i | −0.584843 | − | 1.10668i | ||||
\(271\) | − | 19.7618i | − | 1.20044i | −0.799833 | − | 0.600222i | \(-0.795079\pi\) | ||
0.799833 | − | 0.600222i | \(-0.204921\pi\) | |||||||
\(272\) | −15.5715 | − | 0.345446i | −0.944159 | − | 0.0209457i | ||||
\(273\) | 6.94907 | − | 0.229419i | 0.420577 | − | 0.0138850i | ||||
\(274\) | 22.9060 | − | 9.33952i | 1.38380 | − | 0.564221i | ||||
\(275\) | −2.08345 | + | 2.08345i | −0.125637 | + | 0.125637i | ||||
\(276\) | 0.348502 | + | 15.9022i | 0.0209773 | + | 0.957199i | ||||
\(277\) | −0.876958 | − | 0.876958i | −0.0526913 | − | 0.0526913i | 0.680270 | − | 0.732961i | \(-0.261862\pi\) |
−0.732961 | + | 0.680270i | \(0.761862\pi\) | |||||||
\(278\) | 1.43136 | − | 3.40214i | 0.0858476 | − | 0.204047i | ||||
\(279\) | −18.0780 | + | 1.19496i | −1.08230 | + | 0.0715406i | ||||
\(280\) | 2.90743 | + | 7.36328i | 0.173752 | + | 0.440040i | ||||
\(281\) | 25.1587 | 1.50084 | 0.750422 | − | 0.660959i | \(-0.229851\pi\) | ||||
0.750422 | + | 0.660959i | \(0.229851\pi\) | |||||||
\(282\) | 7.89666 | + | 3.01968i | 0.470239 | + | 0.179819i | ||||
\(283\) | −23.1011 | + | 23.1011i | −1.37322 | + | 1.37322i | −0.517589 | + | 0.855629i | \(0.673170\pi\) |
−0.855629 | + | 0.517589i | \(0.826830\pi\) | |||||||
\(284\) | −11.8981 | − | 12.1650i | −0.706022 | − | 0.721858i | ||||
\(285\) | −13.2664 | − | 12.4184i | −0.785834 | − | 0.735605i | ||||
\(286\) | 5.46560 | − | 2.22850i | 0.323187 | − | 0.131774i | ||||
\(287\) | −0.424100 | −0.0250338 | ||||||||
\(288\) | −15.4187 | + | 7.08961i | −0.908558 | + | 0.417759i | ||||
\(289\) | 1.83812 | 0.108125 | ||||||||
\(290\) | −35.9312 | + | 14.6503i | −2.10995 | + | 0.860294i | ||||
\(291\) | −15.1469 | − | 14.1787i | −0.887925 | − | 0.831170i | ||||
\(292\) | −7.18357 | − | 7.34470i | −0.420387 | − | 0.429816i | ||||
\(293\) | 14.2144 | − | 14.2144i | 0.830415 | − | 0.830415i | −0.157158 | − | 0.987573i | \(-0.550233\pi\) |
0.987573 | + | 0.157158i | \(0.0502333\pi\) | |||||||
\(294\) | −2.28791 | − | 0.874897i | −0.133434 | − | 0.0510251i | ||||
\(295\) | 7.75739 | 0.451653 | ||||||||
\(296\) | 26.9086 | − | 10.6250i | 1.56403 | − | 0.617566i | ||||
\(297\) | 5.37606 | − | 0.534013i | 0.311951 | − | 0.0309866i | ||||
\(298\) | −1.99412 | + | 4.73973i | −0.115517 | + | 0.274565i | ||||
\(299\) | 13.0334 | + | 13.0334i | 0.753742 | + | 0.753742i | ||||
\(300\) | −0.215089 | − | 9.81452i | −0.0124181 | − | 0.566642i | ||||
\(301\) | −1.72961 | + | 1.72961i | −0.0996930 | + | 0.0996930i | ||||
\(302\) | 3.85532 | − | 1.57194i | 0.221849 | − | 0.0904549i | ||||
\(303\) | 30.1189 | − | 0.994354i | 1.73029 | − | 0.0571242i | ||||
\(304\) | −10.8347 | + | 10.3644i | −0.621412 | + | 0.594439i | ||||
\(305\) | 0.258630i | 0.0148091i | ||||||||
\(306\) | −14.8527 | + | 7.23262i | −0.849073 | + | 0.413462i | ||||
\(307\) | −3.47944 | − | 3.47944i | −0.198582 | − | 0.198582i | 0.600810 | − | 0.799392i | \(-0.294845\pi\) |
−0.799392 | + | 0.600810i | \(0.794845\pi\) | |||||||
\(308\) | −2.07930 | − | 0.0230613i | −0.118479 | − | 0.00131404i | ||||
\(309\) | −11.1074 | − | 10.3974i | −0.631875 | − | 0.591487i | ||||
\(310\) | −22.0338 | − | 9.27016i | −1.25143 | − | 0.526510i | ||||
\(311\) | − | 13.6519i | − | 0.774127i | −0.922053 | − | 0.387064i | \(-0.873489\pi\) | ||
0.922053 | − | 0.387064i | \(-0.126511\pi\) | |||||||
\(312\) | −7.22737 | + | 18.2894i | −0.409169 | + | 1.03544i | ||||
\(313\) | − | 4.68752i | − | 0.264954i | −0.991186 | − | 0.132477i | \(-0.957707\pi\) | ||
0.991186 | − | 0.132477i | \(-0.0422931\pi\) | |||||||
\(314\) | −4.93583 | + | 11.7317i | −0.278545 | + | 0.662060i | ||||
\(315\) | 6.31606 | + | 5.53284i | 0.355870 | + | 0.311740i | ||||
\(316\) | 3.71359 | + | 3.79688i | 0.208906 | + | 0.213591i | ||||
\(317\) | 14.0564 | + | 14.0564i | 0.789488 | + | 0.789488i | 0.981410 | − | 0.191922i | \(-0.0614720\pi\) |
−0.191922 | + | 0.981410i | \(0.561472\pi\) | |||||||
\(318\) | 22.3840 | − | 10.0003i | 1.25523 | − | 0.560787i | ||||
\(319\) | − | 10.1924i | − | 0.570666i | ||||||
\(320\) | −22.3789 | − | 0.744850i | −1.25102 | − | 0.0416384i | ||||
\(321\) | −0.952723 | − | 28.8579i | −0.0531758 | − | 1.61069i | ||||
\(322\) | −2.45169 | − | 6.01299i | −0.136627 | − | 0.335091i | ||||
\(323\) | −10.3207 | + | 10.3207i | −0.574261 | + | 0.574261i | ||||
\(324\) | −11.0997 | + | 14.1703i | −0.616649 | + | 0.787238i | ||||
\(325\) | −8.04398 | − | 8.04398i | −0.446199 | − | 0.446199i | ||||
\(326\) | 19.2852 | + | 8.11376i | 1.06811 | + | 0.449380i | ||||
\(327\) | 2.39669 | − | 0.0791250i | 0.132537 | − | 0.00437562i | ||||
\(328\) | 0.477414 | − | 1.10044i | 0.0263608 | − | 0.0607615i | ||||
\(329\) | −3.45146 | −0.190285 | ||||||||
\(330\) | 6.65799 | + | 2.54601i | 0.366510 | + | 0.140153i | ||||
\(331\) | 12.4869 | − | 12.4869i | 0.686342 | − | 0.686342i | −0.275080 | − | 0.961421i | \(-0.588704\pi\) |
0.961421 | + | 0.275080i | \(0.0887043\pi\) | |||||||
\(332\) | 0.0209167 | − | 1.88593i | 0.00114795 | − | 0.103504i | ||||
\(333\) | 20.2194 | − | 23.0816i | 1.10802 | − | 1.26486i | ||||
\(334\) | −3.13701 | − | 7.69380i | −0.171649 | − | 0.420986i | ||||
\(335\) | 38.6988 | 2.11434 | ||||||||
\(336\) | 4.84568 | − | 4.95171i | 0.264354 | − | 0.270138i | ||||
\(337\) | −9.96314 | −0.542727 | −0.271363 | − | 0.962477i | \(-0.587474\pi\) | ||||
−0.271363 | + | 0.962477i | \(0.587474\pi\) | |||||||
\(338\) | 1.66274 | + | 4.07803i | 0.0904414 | + | 0.221816i | ||||
\(339\) | 8.70704 | − | 9.30158i | 0.472901 | − | 0.505192i | ||||
\(340\) | −21.7956 | − | 0.241733i | −1.18203 | − | 0.0131098i | ||||
\(341\) | 4.43991 | − | 4.43991i | 0.240435 | − | 0.240435i | ||||
\(342\) | −5.18702 | + | 15.0336i | −0.280482 | + | 0.812922i | ||||
\(343\) | 1.00000 | 0.0539949 | ||||||||
\(344\) | −2.54088 | − | 6.43496i | −0.136995 | − | 0.346950i | ||||
\(345\) | 0.734488 | + | 22.2476i | 0.0395435 | + | 1.19777i | ||||
\(346\) | −10.4254 | − | 4.38623i | −0.560473 | − | 0.235805i | ||||
\(347\) | 6.06219 | + | 6.06219i | 0.325435 | + | 0.325435i | 0.850848 | − | 0.525412i | \(-0.176089\pi\) |
−0.525412 | + | 0.850848i | \(0.676089\pi\) | |||||||
\(348\) | 24.5329 | + | 23.4807i | 1.31510 | + | 1.25870i | ||||
\(349\) | 7.31976 | − | 7.31976i | 0.391818 | − | 0.391818i | −0.483517 | − | 0.875335i | \(-0.660641\pi\) |
0.875335 | + | 0.483517i | \(0.160641\pi\) | |||||||
\(350\) | 1.51313 | + | 3.71110i | 0.0808804 | + | 0.198367i | ||||
\(351\) | 2.06177 | + | 20.7564i | 0.110049 | + | 1.10790i | ||||
\(352\) | 2.40053 | − | 5.36933i | 0.127949 | − | 0.286186i | ||||
\(353\) | 15.5092i | 0.825472i | 0.910851 | + | 0.412736i | \(0.135427\pi\) | ||||
−0.910851 | + | 0.412736i | \(0.864573\pi\) | |||||||
\(354\) | −2.76923 | − | 6.19848i | −0.147183 | − | 0.329446i | ||||
\(355\) | −16.8386 | − | 16.8386i | −0.893701 | − | 0.893701i | ||||
\(356\) | −20.2840 | + | 19.8390i | −1.07505 | + | 1.05146i | ||||
\(357\) | 4.60899 | − | 4.92370i | 0.243934 | − | 0.260590i | ||||
\(358\) | 7.58412 | − | 18.0263i | 0.400833 | − | 0.952719i | ||||
\(359\) | 17.0316i | 0.898894i | 0.893307 | + | 0.449447i | \(0.148379\pi\) | ||||
−0.893307 | + | 0.449447i | \(0.851621\pi\) | |||||||
\(360\) | −21.4665 | + | 10.1603i | −1.13138 | + | 0.535493i | ||||
\(361\) | − | 4.94928i | − | 0.260489i | ||||||
\(362\) | −32.3335 | − | 13.6035i | −1.69941 | − | 0.714985i | ||||
\(363\) | 11.7408 | − | 12.5425i | 0.616231 | − | 0.658309i | ||||
\(364\) | 0.0890375 | − | 8.02798i | 0.00466683 | − | 0.420780i | ||||
\(365\) | −10.1664 | − | 10.1664i | −0.532136 | − | 0.532136i | ||||
\(366\) | 0.206656 | − | 0.0923258i | 0.0108021 | − | 0.00482594i | ||||
\(367\) | 23.1877i | 1.21039i | 0.796078 | + | 0.605194i | \(0.206905\pi\) | ||||
−0.796078 | + | 0.605194i | \(0.793095\pi\) | |||||||
\(368\) | 18.3622 | + | 0.407356i | 0.957194 | + | 0.0212349i | ||||
\(369\) | −0.0839166 | − | 1.26953i | −0.00436852 | − | 0.0660890i | ||||
\(370\) | 37.4901 | − | 15.2859i | 1.94902 | − | 0.794677i | ||||
\(371\) | −7.07724 | + | 7.07724i | −0.367432 | + | 0.367432i | ||||
\(372\) | 0.458363 | + | 20.9152i | 0.0237650 | + | 1.08440i | ||||
\(373\) | 19.3034 | + | 19.3034i | 0.999491 | + | 0.999491i | 1.00000 | 0.000509216i | \(-0.000162088\pi\) | |
−0.000509216 | 1.00000i | \(0.500162\pi\) | ||||||||
\(374\) | 2.22031 | − | 5.27735i | 0.114810 | − | 0.272885i | ||||
\(375\) | 0.346493 | + | 10.4953i | 0.0178928 | + | 0.541973i | ||||
\(376\) | 3.88535 | − | 8.95572i | 0.200372 | − | 0.461856i | ||||
\(377\) | 39.3519 | 2.02672 | ||||||||
\(378\) | 2.16627 | − | 7.02191i | 0.111421 | − | 0.361168i | ||||
\(379\) | 5.35540 | − | 5.35540i | 0.275088 | − | 0.275088i | −0.556056 | − | 0.831145i | \(-0.687686\pi\) |
0.831145 | + | 0.556056i | \(0.187686\pi\) | |||||||
\(380\) | −15.0009 | + | 14.6718i | −0.769528 | + | 0.752646i | ||||
\(381\) | −23.9489 | + | 25.5841i | −1.22694 | + | 1.31072i | ||||
\(382\) | 14.1520 | − | 5.77022i | 0.724080 | − | 0.295230i | ||||
\(383\) | 11.4760 | 0.586394 | 0.293197 | − | 0.956052i | \(-0.405281\pi\) | ||||
0.293197 | + | 0.956052i | \(0.405281\pi\) | |||||||
\(384\) | 7.39364 | + | 18.1476i | 0.377305 | + | 0.926089i | ||||
\(385\) | −2.91007 | −0.148311 | ||||||||
\(386\) | −1.13319 | + | 0.462039i | −0.0576780 | + | 0.0235172i | ||||
\(387\) | −5.51977 | − | 4.83529i | −0.280586 | − | 0.245792i | ||||
\(388\) | −17.1272 | + | 16.7514i | −0.869501 | + | 0.850425i | ||||
\(389\) | 13.4649 | − | 13.4649i | 0.682699 | − | 0.682699i | −0.277909 | − | 0.960608i | \(-0.589641\pi\) |
0.960608 | + | 0.277909i | \(0.0896413\pi\) | |||||||
\(390\) | −9.82989 | + | 25.7058i | −0.497756 | + | 1.30166i | ||||
\(391\) | 17.8792 | 0.904188 | ||||||||
\(392\) | −1.12571 | + | 2.59476i | −0.0568570 | + | 0.131055i | ||||
\(393\) | 14.8432 | − | 0.490038i | 0.748742 | − | 0.0247192i | ||||
\(394\) | 6.54325 | − | 15.5523i | 0.329644 | − | 0.783514i | ||||
\(395\) | 5.25560 | + | 5.25560i | 0.264438 | + | 0.264438i | ||||
\(396\) | −0.342398 | − | 6.22889i | −0.0172062 | − | 0.313013i | ||||
\(397\) | −12.0340 | + | 12.0340i | −0.603969 | + | 0.603969i | −0.941363 | − | 0.337395i | \(-0.890454\pi\) |
0.337395 | + | 0.941363i | \(0.390454\pi\) | |||||||
\(398\) | −20.9199 | + | 8.52972i | −1.04862 | + | 0.427556i | ||||
\(399\) | −0.214227 | − | 6.48893i | −0.0107248 | − | 0.324853i | ||||
\(400\) | −11.3328 | − | 0.251412i | −0.566638 | − | 0.0125706i | ||||
\(401\) | − | 25.5890i | − | 1.27786i | −0.769267 | − | 0.638928i | \(-0.779378\pi\) | ||
0.769267 | − | 0.638928i | \(-0.220622\pi\) | |||||||
\(402\) | −13.8147 | − | 30.9220i | −0.689014 | − | 1.54225i | ||||
\(403\) | 17.1421 | + | 17.1421i | 0.853906 | + | 0.853906i | ||||
\(404\) | 0.385909 | − | 34.7952i | 0.0191997 | − | 1.73112i | ||||
\(405\) | −15.3126 | + | 20.0017i | −0.760891 | + | 0.993893i | ||||
\(406\) | −12.7787 | − | 5.37633i | −0.634198 | − | 0.266823i | ||||
\(407\) | 10.6346i | 0.527140i | ||||||||
\(408\) | 7.58743 | + | 17.5019i | 0.375634 | + | 0.866472i | ||||
\(409\) | − | 15.7110i | − | 0.776860i | −0.921478 | − | 0.388430i | \(-0.873018\pi\) | ||
0.921478 | − | 0.388430i | \(-0.126982\pi\) | |||||||
\(410\) | 0.650999 | − | 1.54733i | 0.0321505 | − | 0.0764170i | ||||
\(411\) | −22.1180 | − | 20.7042i | −1.09100 | − | 1.02126i | ||||
\(412\) | −12.5595 | + | 12.2840i | −0.618764 | + | 0.605189i | ||||
\(413\) | 1.95980 | + | 1.95980i | 0.0964355 | + | 0.0964355i | ||||
\(414\) | 17.5146 | − | 8.52884i | 0.860795 | − | 0.419169i | ||||
\(415\) | − | 2.63944i | − | 0.129565i | ||||||
\(416\) | 20.7304 | + | 9.26822i | 1.01639 | + | 0.454412i | ||||
\(417\) | −4.51805 | + | 0.149160i | −0.221250 | + | 0.00730440i | ||||
\(418\) | −2.08093 | − | 5.10369i | −0.101782 | − | 0.249629i | ||||
\(419\) | −24.2201 | + | 24.2201i | −1.18323 | + | 1.18323i | −0.204324 | + | 0.978903i | \(0.565500\pi\) |
−0.978903 | + | 0.204324i | \(0.934500\pi\) | |||||||
\(420\) | 6.70404 | − | 7.00447i | 0.327124 | − | 0.341783i | ||||
\(421\) | −10.2110 | − | 10.2110i | −0.497652 | − | 0.497652i | 0.413054 | − | 0.910706i | \(-0.364462\pi\) |
−0.910706 | + | 0.413054i | \(0.864462\pi\) | |||||||
\(422\) | −1.04818 | − | 0.440995i | −0.0510245 | − | 0.0214673i | ||||
\(423\) | −0.682941 | − | 10.3318i | −0.0332057 | − | 0.502352i | ||||
\(424\) | −10.3968 | − | 26.3306i | −0.504913 | − | 1.27873i | ||||
\(425\) | −11.0347 | −0.535260 | ||||||||
\(426\) | −7.44372 | + | 19.4658i | −0.360649 | + | 0.943122i | ||||
\(427\) | −0.0653394 | + | 0.0653394i | −0.00316200 | + | 0.00316200i | ||||
\(428\) | −33.3384 | − | 0.369752i | −1.61147 | − | 0.0178726i | ||||
\(429\) | −5.27756 | − | 4.94022i | −0.254803 | − | 0.238516i | ||||
\(430\) | −3.65550 | − | 8.96544i | −0.176284 | − | 0.432352i | ||||
\(431\) | −4.69315 | −0.226061 | −0.113031 | − | 0.993592i | \(-0.536056\pi\) | ||||
−0.113031 | + | 0.993592i | \(0.536056\pi\) | |||||||
\(432\) | 15.7816 | + | 13.5256i | 0.759292 | + | 0.650750i | ||||
\(433\) | 22.8408 | 1.09766 | 0.548829 | − | 0.835935i | \(-0.315074\pi\) | ||||
0.548829 | + | 0.835935i | \(0.315074\pi\) | |||||||
\(434\) | −3.22455 | − | 7.90852i | −0.154784 | − | 0.379621i | ||||
\(435\) | 34.6950 | + | 32.4773i | 1.66350 | + | 1.55717i | ||||
\(436\) | 0.0307085 | − | 2.76880i | 0.00147067 | − | 0.132601i | ||||
\(437\) | 12.1704 | − | 12.1704i | 0.582189 | − | 0.582189i | ||||
\(438\) | −4.49420 | + | 11.7526i | −0.214741 | + | 0.561563i | ||||
\(439\) | −10.3738 | −0.495113 | −0.247556 | − | 0.968873i | \(-0.579628\pi\) | ||||
−0.247556 | + | 0.968873i | \(0.579628\pi\) | |||||||
\(440\) | 3.27590 | − | 7.55093i | 0.156172 | − | 0.359976i | ||||
\(441\) | 0.197870 | + | 2.99347i | 0.00942238 | + | 0.142546i | ||||
\(442\) | 20.3753 | + | 8.57241i | 0.969155 | + | 0.407748i | ||||
\(443\) | −23.7210 | − | 23.7210i | −1.12702 | − | 1.12702i | −0.990660 | − | 0.136359i | \(-0.956460\pi\) |
−0.136359 | − | 0.990660i | \(-0.543540\pi\) | |||||||
\(444\) | −25.5973 | − | 24.4994i | −1.21480 | − | 1.16269i | ||||
\(445\) | −28.0769 | + | 28.0769i | −1.33097 | + | 1.33097i | ||||
\(446\) | 5.61462 | + | 13.7704i | 0.265860 | + | 0.652046i | ||||
\(447\) | 6.29438 | − | 0.207804i | 0.297714 | − | 0.00982881i | ||||
\(448\) | −5.46555 | − | 5.84190i | −0.258223 | − | 0.276004i | ||||
\(449\) | 7.24900i | 0.342101i | 0.985262 | + | 0.171051i | \(0.0547162\pi\) | ||||
−0.985262 | + | 0.171051i | \(0.945284\pi\) | |||||||
\(450\) | −10.8097 | + | 5.26383i | −0.509572 | + | 0.248140i | ||||
\(451\) | 0.311794 | + | 0.311794i | 0.0146818 | + | 0.0146818i | ||||
\(452\) | −10.2869 | − | 10.5177i | −0.483857 | − | 0.494710i | ||||
\(453\) | −3.72268 | − | 3.48474i | −0.174907 | − | 0.163727i | ||||
\(454\) | −14.2975 | + | 33.9831i | −0.671017 | + | 1.59491i | ||||
\(455\) | − | 11.2355i | − | 0.526727i | ||||||
\(456\) | 17.0784 | + | 6.74880i | 0.799768 | + | 0.316041i | ||||
\(457\) | 10.4702i | 0.489775i | 0.969551 | + | 0.244888i | \(0.0787511\pi\) | ||||
−0.969551 | + | 0.244888i | \(0.921249\pi\) | |||||||
\(458\) | −16.3156 | − | 6.86439i | −0.762378 | − | 0.320752i | ||||
\(459\) | 15.6509 | + | 12.8226i | 0.730523 | + | 0.598508i | ||||
\(460\) | 25.7017 | + | 0.285055i | 1.19835 | + | 0.0132908i | ||||
\(461\) | 0.786465 | + | 0.786465i | 0.0366293 | + | 0.0366293i | 0.725184 | − | 0.688555i | \(-0.241755\pi\) |
−0.688555 | + | 0.725184i | \(0.741755\pi\) | |||||||
\(462\) | 1.03884 | + | 2.32527i | 0.0483310 | + | 0.108181i | ||||
\(463\) | − | 11.7932i | − | 0.548076i | −0.961719 | − | 0.274038i | \(-0.911641\pi\) | ||
0.961719 | − | 0.274038i | \(-0.0883594\pi\) | |||||||
\(464\) | 28.3354 | − | 27.1055i | 1.31544 | − | 1.25834i | ||||
\(465\) | 0.966027 | + | 29.2609i | 0.0447984 | + | 1.35694i | ||||
\(466\) | 3.06648 | − | 1.25030i | 0.142052 | − | 0.0579191i | ||||
\(467\) | −12.7443 | + | 12.7443i | −0.589734 | + | 0.589734i | −0.937559 | − | 0.347826i | \(-0.886920\pi\) |
0.347826 | + | 0.937559i | \(0.386920\pi\) | |||||||
\(468\) | 24.0491 | − | 1.32196i | 1.11167 | − | 0.0611078i | ||||
\(469\) | 9.77673 | + | 9.77673i | 0.451447 | + | 0.451447i | ||||
\(470\) | 5.29804 | − | 12.5926i | 0.244381 | − | 0.580856i | ||||
\(471\) | 15.5798 | − | 0.514355i | 0.717878 | − | 0.0237002i | ||||
\(472\) | −7.29138 | + | 2.87904i | −0.335613 | + | 0.132519i | ||||
\(473\) | 2.54318 | 0.116936 | ||||||||
\(474\) | 2.32330 | − | 6.07559i | 0.106713 | − | 0.279061i | ||||
\(475\) | −7.51134 | + | 7.51134i | −0.344644 | + | 0.344644i | ||||
\(476\) | −5.44529 | − | 5.56743i | −0.249585 | − | 0.255183i | ||||
\(477\) | −22.5858 | − | 19.7851i | −1.03413 | − | 0.905898i | ||||
\(478\) | 5.54069 | − | 2.25912i | 0.253425 | − | 0.103330i | ||||
\(479\) | 12.4359 | 0.568213 | 0.284106 | − | 0.958793i | \(-0.408303\pi\) | ||||
0.284106 | + | 0.958793i | \(0.408303\pi\) | |||||||
\(480\) | 10.6281 | + | 25.2804i | 0.485103 | + | 1.15389i | ||||
\(481\) | −41.0593 | −1.87214 | ||||||||
\(482\) | 9.74666 | − | 3.97402i | 0.443948 | − | 0.181012i | ||||
\(483\) | −5.43500 | + | 5.80612i | −0.247301 | + | 0.264188i | ||||
\(484\) | −13.8711 | − | 14.1823i | −0.630506 | − | 0.644649i | ||||
\(485\) | −23.7072 | + | 23.7072i | −1.07649 | + | 1.07649i | ||||
\(486\) | 21.4485 | + | 5.09523i | 0.972924 | + | 0.231124i | ||||
\(487\) | 5.45746 | 0.247301 | 0.123651 | − | 0.992326i | \(-0.460540\pi\) | ||||
0.123651 | + | 0.992326i | \(0.460540\pi\) | |||||||
\(488\) | −0.0959867 | − | 0.243093i | −0.00434511 | − | 0.0110043i | ||||
\(489\) | −0.845521 | − | 25.6108i | −0.0382358 | − | 1.15816i | ||||
\(490\) | −1.53501 | + | 3.64849i | −0.0693448 | + | 0.164822i | ||||
\(491\) | 15.9959 | + | 15.9959i | 0.721886 | + | 0.721886i | 0.968989 | − | 0.247103i | \(-0.0794787\pi\) |
−0.247103 | + | 0.968989i | \(0.579479\pi\) | |||||||
\(492\) | −1.46877 | + | 0.0321886i | −0.0662174 | + | 0.00145118i | ||||
\(493\) | 26.9913 | − | 26.9913i | 1.21563 | − | 1.21563i | ||||
\(494\) | 19.7048 | − | 8.03428i | 0.886561 | − | 0.361479i | ||||
\(495\) | −0.575815 | − | 8.71120i | −0.0258810 | − | 0.391539i | ||||
\(496\) | 24.1506 | + | 0.535770i | 1.08439 | + | 0.0240568i | ||||
\(497\) | − | 8.50810i | − | 0.381640i | ||||||
\(498\) | −2.10902 | + | 0.942227i | −0.0945076 | + | 0.0422222i | ||||
\(499\) | 15.9973 | + | 15.9973i | 0.716137 | + | 0.716137i | 0.967812 | − | 0.251675i | \(-0.0809813\pi\) |
−0.251675 | + | 0.967812i | \(0.580981\pi\) | |||||||
\(500\) | 12.1247 | + | 0.134474i | 0.542235 | + | 0.00601387i | ||||
\(501\) | −6.95424 | + | 7.42910i | −0.310693 | + | 0.331908i | ||||
\(502\) | −5.33329 | − | 2.24385i | −0.238036 | − | 0.100148i | ||||
\(503\) | − | 22.2817i | − | 0.993490i | −0.867897 | − | 0.496745i | \(-0.834528\pi\) | ||
0.867897 | − | 0.496745i | \(-0.165472\pi\) | |||||||
\(504\) | −7.99007 | − | 2.85636i | −0.355906 | − | 0.127232i | ||||
\(505\) | − | 48.6972i | − | 2.16700i | ||||||
\(506\) | −2.61823 | + | 6.22315i | −0.116395 | + | 0.276653i | ||||
\(507\) | 3.68604 | − | 3.93773i | 0.163703 | − | 0.174881i | ||||
\(508\) | 28.2944 | + | 28.9290i | 1.25536 | + | 1.28352i | ||||
\(509\) | 22.7995 | + | 22.7995i | 1.01057 | + | 1.01057i | 0.999944 | + | 0.0106261i | \(0.00338245\pi\) |
0.0106261 | + | 0.999944i | \(0.496618\pi\) | |||||||
\(510\) | 10.8892 | + | 24.3738i | 0.482184 | + | 1.07929i | ||||
\(511\) | − | 5.13683i | − | 0.227240i | ||||||
\(512\) | 21.3110 | − | 7.60548i | 0.941820 | − | 0.336118i | ||||
\(513\) | 19.3820 | − | 1.92525i | 0.855737 | − | 0.0850017i | ||||
\(514\) | −9.36245 | − | 22.9623i | −0.412960 | − | 1.01282i | ||||
\(515\) | −17.3848 | + | 17.3848i | −0.766065 | + | 0.766065i | ||||
\(516\) | −5.85883 | + | 6.12138i | −0.257921 | + | 0.269479i | ||||
\(517\) | 2.53748 | + | 2.53748i | 0.111598 | + | 0.111598i | ||||
\(518\) | 13.3332 | + | 5.60960i | 0.585826 | + | 0.246472i | ||||
\(519\) | 0.457082 | + | 13.8450i | 0.0200637 | + | 0.607727i | ||||
\(520\) | 29.1534 | + | 12.6479i | 1.27846 | + | 0.554647i | ||||
\(521\) | −25.3376 | −1.11006 | −0.555030 | − | 0.831831i | \(-0.687293\pi\) | ||||
−0.555030 | + | 0.831831i | \(0.687293\pi\) | |||||||
\(522\) | 13.5654 | − | 39.3165i | 0.593739 | − | 1.72084i | ||||
\(523\) | 18.0986 | − | 18.0986i | 0.791395 | − | 0.791395i | −0.190326 | − | 0.981721i | \(-0.560955\pi\) |
0.981721 | + | 0.190326i | \(0.0609545\pi\) | |||||||
\(524\) | 0.190184 | − | 17.1478i | 0.00830824 | − | 0.749104i | ||||
\(525\) | 3.35438 | − | 3.58342i | 0.146397 | − | 0.156393i | ||||
\(526\) | 14.6305 | + | 35.8826i | 0.637919 | + | 1.56455i | ||||
\(527\) | 23.5153 | 1.02434 | ||||||||
\(528\) | −7.20294 | + | 0.0779489i | −0.313468 | + | 0.00339229i | ||||
\(529\) | 1.91658 | 0.0833295 | ||||||||
\(530\) | −14.9576 | − | 36.6849i | −0.649717 | − | 1.59349i | ||||
\(531\) | −5.47882 | + | 6.25439i | −0.237760 | + | 0.271417i | ||||
\(532\) | −7.49640 | − | 0.0831418i | −0.325010 | − | 0.00360465i | ||||
\(533\) | −1.20380 | + | 1.20380i | −0.0521426 | + | 0.0521426i | ||||
\(534\) | 32.4575 | + | 12.4117i | 1.40457 | + | 0.537108i | ||||
\(535\) | −46.6584 | −2.01722 | ||||||||
\(536\) | −36.3740 | + | 14.3625i | −1.57112 | + | 0.620365i | ||||
\(537\) | −23.9390 | + | 0.790327i | −1.03304 | + | 0.0341051i | ||||
\(538\) | −30.4280 | − | 12.8018i | −1.31184 | − | 0.551925i | ||||
\(539\) | −0.735190 | − | 0.735190i | −0.0316669 | − | 0.0316669i | ||||
\(540\) | 22.2942 | + | 18.6823i | 0.959388 | + | 0.803960i | ||||
\(541\) | 3.85585 | − | 3.85585i | 0.165776 | − | 0.165776i | −0.619344 | − | 0.785120i | \(-0.712601\pi\) |
0.785120 | + | 0.619344i | \(0.212601\pi\) | |||||||
\(542\) | 10.5517 | + | 25.8790i | 0.453233 | + | 1.11160i | ||||
\(543\) | 1.41760 | + | 42.9390i | 0.0608350 | + | 1.84269i | ||||
\(544\) | 20.5760 | − | 7.86190i | 0.882188 | − | 0.337076i | ||||
\(545\) | − | 3.87505i | − | 0.165989i | ||||||
\(546\) | −8.97762 | + | 4.01084i | −0.384207 | + | 0.171648i | ||||
\(547\) | 3.89933 | + | 3.89933i | 0.166723 | + | 0.166723i | 0.785537 | − | 0.618814i | \(-0.212387\pi\) |
−0.618814 | + | 0.785537i | \(0.712387\pi\) | |||||||
\(548\) | −25.0097 | + | 24.4610i | −1.06836 | + | 1.04492i | ||||
\(549\) | −0.208520 | − | 0.182663i | −0.00889942 | − | 0.00779586i | ||||
\(550\) | 1.61592 | − | 3.84081i | 0.0689032 | − | 0.163773i | ||||
\(551\) | − | 36.7462i | − | 1.56544i | ||||||
\(552\) | −8.94723 | − | 20.6385i | −0.380820 | − | 0.878434i | ||||
\(553\) | 2.65552i | 0.112924i | ||||||||
\(554\) | 1.61666 | + | 0.680170i | 0.0686853 | + | 0.0288976i | ||||
\(555\) | −36.2003 | − | 33.8865i | −1.53662 | − | 1.43840i | ||||
\(556\) | −0.0578891 | + | 5.21951i | −0.00245504 | + | 0.221357i | ||||
\(557\) | −13.6931 | − | 13.6931i | −0.580195 | − | 0.580195i | 0.354762 | − | 0.934957i | \(-0.384562\pi\) |
−0.934957 | + | 0.354762i | \(0.884562\pi\) | |||||||
\(558\) | 23.0358 | − | 11.2175i | 0.975185 | − | 0.474873i | ||||
\(559\) | 9.81897i | 0.415298i | ||||||||
\(560\) | −7.73898 | − | 8.09014i | −0.327032 | − | 0.341871i | ||||
\(561\) | −7.00834 | + | 0.231375i | −0.295892 | + | 0.00976867i | ||||
\(562\) | −32.9464 | + | 13.4333i | −1.38976 | + | 0.566650i | ||||
\(563\) | −11.5660 | + | 11.5660i | −0.487450 | + | 0.487450i | −0.907501 | − | 0.420050i | \(-0.862012\pi\) |
0.420050 | + | 0.907501i | \(0.362012\pi\) | |||||||
\(564\) | −11.9534 | + | 0.261962i | −0.503327 | + | 0.0110306i | ||||
\(565\) | −14.5584 | − | 14.5584i | −0.612478 | − | 0.612478i | ||||
\(566\) | 17.9173 | − | 42.5866i | 0.753118 | − | 1.79005i | ||||
\(567\) | −8.92169 | + | 1.18463i | −0.374676 | + | 0.0497500i | ||||
\(568\) | 22.0765 | + | 9.57767i | 0.926308 | + | 0.401870i | ||||
\(569\) | 5.95769 | 0.249759 | 0.124880 | − | 0.992172i | \(-0.460146\pi\) | ||||
0.124880 | + | 0.992172i | \(0.460146\pi\) | |||||||
\(570\) | 24.0037 | + | 9.17899i | 1.00540 | + | 0.384466i | ||||
\(571\) | 11.7621 | − | 11.7621i | 0.492228 | − | 0.492228i | −0.416779 | − | 0.909008i | \(-0.636841\pi\) |
0.909008 | + | 0.416779i | \(0.136841\pi\) | |||||||
\(572\) | −5.96755 | + | 5.83663i | −0.249516 | + | 0.244042i | ||||
\(573\) | −13.6651 | − | 12.7917i | −0.570869 | − | 0.534380i | ||||
\(574\) | 0.555377 | − | 0.226445i | 0.0231810 | − | 0.00945163i | ||||
\(575\) | 13.0123 | 0.542650 | ||||||||
\(576\) | 16.4061 | − | 17.5169i | 0.683586 | − | 0.729870i | ||||
\(577\) | 4.01062 | 0.166964 | 0.0834821 | − | 0.996509i | \(-0.473396\pi\) | ||||
0.0834821 | + | 0.996509i | \(0.473396\pi\) | |||||||
\(578\) | −2.40710 | + | 0.981451i | −0.100122 | + | 0.0408230i | ||||
\(579\) | 1.09421 | + | 1.02427i | 0.0454737 | + | 0.0425671i | ||||
\(580\) | 39.2310 | − | 38.3704i | 1.62898 | − | 1.59324i | ||||
\(581\) | 0.666819 | − | 0.666819i | 0.0276643 | − | 0.0276643i | ||||
\(582\) | 27.4061 | + | 10.4801i | 1.13602 | + | 0.434413i | ||||
\(583\) | 10.4062 | 0.430982 | ||||||||
\(584\) | 13.3288 | + | 5.78259i | 0.551552 | + | 0.239285i | ||||
\(585\) | 33.6330 | − | 2.22316i | 1.39056 | − | 0.0919165i | ||||
\(586\) | −11.0247 | + | 26.2041i | −0.455427 | + | 1.08248i | ||||
\(587\) | −21.7757 | − | 21.7757i | −0.898780 | − | 0.898780i | 0.0965487 | − | 0.995328i | \(-0.469220\pi\) |
−0.995328 | + | 0.0965487i | \(0.969220\pi\) | |||||||
\(588\) | 3.46327 | − | 0.0758987i | 0.142823 | − | 0.00313001i | ||||
\(589\) | 16.0070 | − | 16.0070i | 0.659556 | − | 0.659556i | ||||
\(590\) | −10.1586 | + | 4.14200i | −0.418225 | + | 0.170524i | ||||
\(591\) | −20.6535 | + | 0.681860i | −0.849572 | + | 0.0280480i | ||||
\(592\) | −29.5649 | + | 28.2816i | −1.21511 | + | 1.16236i | ||||
\(593\) | 13.0247i | 0.534858i | 0.963578 | + | 0.267429i | \(0.0861742\pi\) | ||||
−0.963578 | + | 0.267429i | \(0.913826\pi\) | |||||||
\(594\) | −6.75506 | + | 3.56982i | −0.277163 | + | 0.146472i | ||||
\(595\) | −7.70638 | − | 7.70638i | −0.315931 | − | 0.315931i | ||||
\(596\) | 0.0806490 | − | 7.27164i | 0.00330351 | − | 0.297858i | ||||
\(597\) | 20.2002 | + | 18.9090i | 0.826739 | + | 0.773895i | ||||
\(598\) | −24.0269 | − | 10.1087i | −0.982534 | − | 0.413377i | ||||
\(599\) | − | 21.4927i | − | 0.878167i | −0.898446 | − | 0.439084i | \(-0.855303\pi\) | ||
0.898446 | − | 0.439084i | \(-0.144697\pi\) | |||||||
\(600\) | 5.52206 | + | 12.7377i | 0.225437 | + | 0.520015i | ||||
\(601\) | 23.8156i | 0.971457i | 0.874110 | + | 0.485729i | \(0.161446\pi\) | ||||
−0.874110 | + | 0.485729i | \(0.838554\pi\) | |||||||
\(602\) | 1.34149 | − | 3.18851i | 0.0546749 | − | 0.129954i | ||||
\(603\) | −27.3318 | + | 31.2008i | −1.11304 | + | 1.27060i | ||||
\(604\) | −4.20939 | + | 4.11704i | −0.171278 | + | 0.167520i | ||||
\(605\) | −19.6309 | − | 19.6309i | −0.798111 | − | 0.798111i | ||||
\(606\) | −38.9111 | + | 17.3839i | −1.58066 | + | 0.706174i | ||||
\(607\) | 5.27673i | 0.214176i | 0.994250 | + | 0.107088i | \(0.0341527\pi\) | ||||
−0.994250 | + | 0.107088i | \(0.965847\pi\) | |||||||
\(608\) | 8.65451 | − | 19.3577i | 0.350987 | − | 0.785060i | ||||
\(609\) | 0.560258 | + | 16.9702i | 0.0227028 | + | 0.687667i | ||||
\(610\) | −0.138094 | − | 0.338687i | −0.00559125 | − | 0.0137131i | ||||
\(611\) | −9.79696 | + | 9.79696i | −0.396342 | + | 0.396342i | ||||
\(612\) | 15.5885 | − | 17.4019i | 0.630127 | − | 0.703431i | ||||
\(613\) | 7.64313 | + | 7.64313i | 0.308703 | + | 0.308703i | 0.844406 | − | 0.535703i | \(-0.179953\pi\) |
−0.535703 | + | 0.844406i | \(0.679953\pi\) | |||||||
\(614\) | 6.41430 | + | 2.69866i | 0.258860 | + | 0.108909i | ||||
\(615\) | −2.05485 | + | 0.0678395i | −0.0828597 | + | 0.00273555i | ||||
\(616\) | 2.73525 | − | 1.08003i | 0.110206 | − | 0.0435156i | ||||
\(617\) | 18.4206 | 0.741587 | 0.370793 | − | 0.928715i | \(-0.379086\pi\) | ||||
0.370793 | + | 0.928715i | \(0.379086\pi\) | |||||||
\(618\) | 20.0972 | + | 7.68515i | 0.808427 | + | 0.309142i | ||||
\(619\) | 16.6942 | − | 16.6942i | 0.670998 | − | 0.670998i | −0.286948 | − | 0.957946i | \(-0.592641\pi\) |
0.957946 | + | 0.286948i | \(0.0926406\pi\) | |||||||
\(620\) | 33.8039 | + | 0.374916i | 1.35760 | + | 0.0150570i | ||||
\(621\) | −18.4559 | − | 15.1206i | −0.740608 | − | 0.606771i | ||||
\(622\) | 7.28932 | + | 17.8777i | 0.292275 | + | 0.716832i | ||||
\(623\) | −14.1865 | −0.568369 | ||||||||
\(624\) | −0.300953 | − | 27.8098i | −0.0120477 | − | 1.11328i | ||||
\(625\) | 31.1385 | 1.24554 | ||||||||
\(626\) | 2.50287 | + | 6.13852i | 0.100035 | + | 0.245345i | ||||
\(627\) | −4.61310 | + | 4.92810i | −0.184230 | + | 0.196809i | ||||
\(628\) | 0.199621 | − | 17.9987i | 0.00796576 | − | 0.718225i | ||||
\(629\) | −28.1624 | + | 28.1624i | −1.12291 | + | 1.12291i | ||||
\(630\) | −11.2254 | − | 3.87309i | −0.447230 | − | 0.154307i | ||||
\(631\) | 32.8077 | 1.30605 | 0.653027 | − | 0.757335i | \(-0.273499\pi\) | ||||
0.653027 | + | 0.757335i | \(0.273499\pi\) | |||||||
\(632\) | −6.89042 | − | 2.98934i | −0.274086 | − | 0.118910i | ||||
\(633\) | 0.0459553 | + | 1.39198i | 0.00182656 | + | 0.0553264i | ||||
\(634\) | −25.9129 | − | 10.9022i | −1.02913 | − | 0.432981i | ||||
\(635\) | 40.0432 | + | 40.0432i | 1.58907 | + | 1.58907i | ||||
\(636\) | −23.9732 | + | 25.0475i | −0.950600 | + | 0.993199i | ||||
\(637\) | 2.83849 | − | 2.83849i | 0.112465 | − | 0.112465i | ||||
\(638\) | 5.44217 | + | 13.3474i | 0.215457 | + | 0.528429i | ||||
\(639\) | 25.4687 | − | 1.68350i | 1.00753 | − | 0.0665981i | ||||
\(640\) | 29.7038 | − | 10.9736i | 1.17415 | − | 0.433771i | ||||
\(641\) | 25.4996i | 1.00718i | 0.863944 | + | 0.503588i | \(0.167987\pi\) | ||||
−0.863944 | + | 0.503588i | \(0.832013\pi\) | |||||||
\(642\) | 16.6561 | + | 37.2820i | 0.657364 | + | 1.47140i | ||||
\(643\) | −24.4964 | − | 24.4964i | −0.966043 | − | 0.966043i | 0.0333995 | − | 0.999442i | \(-0.489367\pi\) |
−0.999442 | + | 0.0333995i | \(0.989367\pi\) | |||||||
\(644\) | 6.42119 | + | 6.56522i | 0.253030 | + | 0.258706i | ||||
\(645\) | −8.10365 | + | 8.65699i | −0.319081 | + | 0.340869i | ||||
\(646\) | 8.00478 | − | 19.0261i | 0.314944 | − | 0.748574i | ||||
\(647\) | − | 4.04326i | − | 0.158957i | −0.996837 | − | 0.0794785i | \(-0.974674\pi\) | ||
0.996837 | − | 0.0794785i | \(-0.0253255\pi\) | |||||||
\(648\) | 6.96941 | − | 24.4832i | 0.273784 | − | 0.961791i | ||||
\(649\) | − | 2.88165i | − | 0.113115i | ||||||
\(650\) | 14.8290 | + | 6.23892i | 0.581640 | + | 0.244710i | ||||
\(651\) | −7.14832 | + | 7.63643i | −0.280165 | + | 0.299295i | ||||
\(652\) | −29.5871 | − | 0.328147i | −1.15872 | − | 0.0128512i | ||||
\(653\) | −14.0814 | − | 14.0814i | −0.551046 | − | 0.551046i | 0.375697 | − | 0.926743i | \(-0.377403\pi\) |
−0.926743 | + | 0.375697i | \(0.877403\pi\) | |||||||
\(654\) | −3.09633 | + | 1.38331i | −0.121076 | + | 0.0540919i | ||||
\(655\) | − | 23.9990i | − | 0.937719i | ||||||
\(656\) | −0.0376246 | + | 1.69598i | −0.00146899 | + | 0.0662170i | ||||
\(657\) | 15.3769 | − | 1.01642i | 0.599912 | − | 0.0396545i | ||||
\(658\) | 4.51984 | − | 1.84288i | 0.176202 | − | 0.0718431i | ||||
\(659\) | 2.27824 | − | 2.27824i | 0.0887476 | − | 0.0887476i | −0.661339 | − | 0.750087i | \(-0.730012\pi\) |
0.750087 | + | 0.661339i | \(0.230012\pi\) | |||||||
\(660\) | −10.0784 | + | 0.220871i | −0.392299 | + | 0.00859738i | ||||
\(661\) | −22.1991 | − | 22.1991i | −0.863443 | − | 0.863443i | 0.128293 | − | 0.991736i | \(-0.459050\pi\) |
−0.991736 | + | 0.128293i | \(0.959050\pi\) | |||||||
\(662\) | −9.68485 | + | 23.0194i | −0.376412 | + | 0.894675i | ||||
\(663\) | −0.893316 | − | 27.0585i | −0.0346935 | − | 1.05086i | ||||
\(664\) | 0.979589 | + | 2.48088i | 0.0380154 | + | 0.0962769i | ||||
\(665\) | −10.4915 | −0.406843 | ||||||||
\(666\) | −14.1539 | + | 41.0224i | −0.548453 | + | 1.58958i | ||||
\(667\) | −31.8286 | + | 31.8286i | −1.23241 | + | 1.23241i | ||||
\(668\) | 8.21609 | + | 8.40039i | 0.317890 | + | 0.325021i | ||||
\(669\) | 12.4467 | − | 13.2966i | 0.481218 | − | 0.514077i | ||||
\(670\) | −50.6778 | + | 20.6629i | −1.95785 | + | 0.798279i | ||||
\(671\) | 0.0960738 | 0.00370889 | ||||||||
\(672\) | −3.70170 | + | 9.07179i | −0.142796 | + | 0.349952i | ||||
\(673\) | −40.3728 | −1.55626 | −0.778128 | − | 0.628105i | \(-0.783831\pi\) | ||||
−0.778128 | + | 0.628105i | \(0.783831\pi\) | |||||||
\(674\) | 13.0472 | − | 5.31974i | 0.502558 | − | 0.204909i | ||||
\(675\) | 11.3906 | + | 9.33217i | 0.438424 | + | 0.359195i | ||||
\(676\) | −4.35487 | − | 4.45256i | −0.167495 | − | 0.171252i | ||||
\(677\) | 17.2627 | − | 17.2627i | 0.663460 | − | 0.663460i | −0.292734 | − | 0.956194i | \(-0.594565\pi\) |
0.956194 | + | 0.292734i | \(0.0945651\pi\) | |||||||
\(678\) | −6.43574 | + | 16.8299i | −0.247163 | + | 0.646348i | ||||
\(679\) | −11.9786 | −0.459698 | ||||||||
\(680\) | 28.6713 | − | 11.3210i | 1.09950 | − | 0.434142i | ||||
\(681\) | 45.1297 | − | 1.48992i | 1.72937 | − | 0.0570939i | ||||
\(682\) | −3.44360 | + | 8.18492i | −0.131862 | + | 0.313417i | ||||
\(683\) | 6.43982 | + | 6.43982i | 0.246413 | + | 0.246413i | 0.819497 | − | 0.573084i | \(-0.194253\pi\) |
−0.573084 | + | 0.819497i | \(0.694253\pi\) | |||||||
\(684\) | −1.23443 | − | 22.4567i | −0.0471996 | − | 0.858652i | ||||
\(685\) | −34.6181 | + | 34.6181i | −1.32269 | + | 1.32269i | ||||
\(686\) | −1.30954 | + | 0.533943i | −0.0499986 | + | 0.0203860i | ||||
\(687\) | 0.715326 | + | 21.6672i | 0.0272914 | + | 0.826654i | ||||
\(688\) | 6.76329 | + | 7.07018i | 0.257848 | + | 0.269548i | ||||
\(689\) | 40.1774i | 1.53064i | ||||||||
\(690\) | −12.8408 | − | 28.7420i | −0.488841 | − | 1.09419i | ||||
\(691\) | 34.9424 | + | 34.9424i | 1.32927 | + | 1.32927i | 0.906005 | + | 0.423267i | \(0.139117\pi\) |
0.423267 | + | 0.906005i | \(0.360883\pi\) | |||||||
\(692\) | 15.9945 | + | 0.177394i | 0.608020 | + | 0.00674349i | ||||
\(693\) | 2.05530 | − | 2.34624i | 0.0780742 | − | 0.0891263i | ||||
\(694\) | −11.1756 | − | 4.70184i | −0.424219 | − | 0.178479i | ||||
\(695\) | 7.30492i | 0.277091i | ||||||||
\(696\) | −44.6642 | − | 17.6498i | −1.69299 | − | 0.669014i | ||||
\(697\) | 1.65137i | 0.0625501i | ||||||||
\(698\) | −5.67721 | + | 13.4939i | −0.214886 | + | 0.510751i | ||||
\(699\) | −2.96098 | − | 2.77172i | −0.111995 | − | 0.104836i | ||||
\(700\) | −3.96303 | − | 4.05192i | −0.149789 | − | 0.153148i | ||||
\(701\) | 23.3170 | + | 23.3170i | 0.880671 | + | 0.880671i | 0.993603 | − | 0.112931i | \(-0.0360240\pi\) |
−0.112931 | + | 0.993603i | \(0.536024\pi\) | |||||||
\(702\) | −13.7827 | − | 26.0806i | −0.520195 | − | 0.984349i | ||||
\(703\) | 38.3405i | 1.44604i | ||||||||
\(704\) | −0.276691 | + | 8.31312i | −0.0104282 | + | 0.313313i | ||||
\(705\) | −16.7231 | + | 0.552100i | −0.629827 | + | 0.0207933i | ||||
\(706\) | −8.28103 | − | 20.3100i | −0.311661 | − | 0.764377i | ||||
\(707\) | 12.3027 | − | 12.3027i | 0.462691 | − | 0.462691i | ||||
\(708\) | 6.93607 | + | 6.63858i | 0.260673 | + | 0.249493i | ||||
\(709\) | −16.6951 | − | 16.6951i | −0.626999 | − | 0.626999i | 0.320313 | − | 0.947312i | \(-0.396212\pi\) |
−0.947312 | + | 0.320313i | \(0.896212\pi\) | |||||||
\(710\) | 31.0418 | + | 13.0601i | 1.16498 | + | 0.490135i | ||||
\(711\) | −7.94920 | + | 0.525447i | −0.298118 | + | 0.0197058i | ||||
\(712\) | 15.9699 | − | 36.8105i | 0.598497 | − | 1.37953i | ||||
\(713\) | −27.7297 | −1.03849 | ||||||||
\(714\) | −3.40670 | + | 8.90874i | −0.127492 | + | 0.333401i | ||||
\(715\) | −8.26021 | + | 8.26021i | −0.308914 | + | 0.308914i | ||||
\(716\) | −0.306727 | + | 27.6557i | −0.0114629 | + | 1.03354i | ||||
\(717\) | −5.35007 | − | 5.00810i | −0.199802 | − | 0.187031i | ||||
\(718\) | −9.09390 | − | 22.3036i | −0.339381 | − | 0.832365i | ||||
\(719\) | −23.6741 | −0.882896 | −0.441448 | − | 0.897287i | \(-0.645535\pi\) | ||||
−0.441448 | + | 0.897287i | \(0.645535\pi\) | |||||||
\(720\) | 22.6863 | − | 24.7672i | 0.845467 | − | 0.923018i | ||||
\(721\) | −8.78406 | −0.327135 | ||||||||
\(722\) | 2.64263 | + | 6.48130i | 0.0983486 | + | 0.241209i | ||||
\(723\) | −9.41133 | − | 8.80978i | −0.350011 | − | 0.327639i | ||||
\(724\) | 49.6057 | + | 0.550171i | 1.84358 | + | 0.0204470i | ||||
\(725\) | 19.6440 | − | 19.6440i | 0.729561 | − | 0.729561i | ||||
\(726\) | −8.67810 | + | 22.6938i | −0.322074 | + | 0.842246i | ||||
\(727\) | 15.9011 | 0.589738 | 0.294869 | − | 0.955538i | \(-0.404724\pi\) | ||||
0.294869 | + | 0.955538i | \(0.404724\pi\) | |||||||
\(728\) | 4.16988 | + | 10.5605i | 0.154546 | + | 0.391399i | ||||
\(729\) | −5.31150 | − | 26.4724i | −0.196722 | − | 0.980459i | ||||
\(730\) | 18.7417 | + | 7.88511i | 0.693662 | + | 0.291841i | ||||
\(731\) | 6.73480 | + | 6.73480i | 0.249095 | + | 0.249095i | ||||
\(732\) | −0.221329 | + | 0.231247i | −0.00818055 | + | 0.00854714i | ||||
\(733\) | 3.64880 | − | 3.64880i | 0.134771 | − | 0.134771i | −0.636503 | − | 0.771274i | \(-0.719620\pi\) |
0.771274 | + | 0.636503i | \(0.219620\pi\) | |||||||
\(734\) | −12.3809 | − | 30.3653i | −0.456987 | − | 1.12080i | ||||
\(735\) | 4.84521 | − | 0.159961i | 0.178718 | − | 0.00590025i | ||||
\(736\) | −24.2636 | + | 9.27089i | −0.894367 | + | 0.341729i | ||||
\(737\) | − | 14.3755i | − | 0.529529i | ||||||
\(738\) | 0.787748 | + | 1.61770i | 0.0289974 | + | 0.0595483i | ||||
\(739\) | −27.0346 | − | 27.0346i | −0.994483 | − | 0.994483i | 0.00550198 | − | 0.999985i | \(-0.498249\pi\) |
−0.999985 | + | 0.00550198i | \(0.998249\pi\) | |||||||
\(740\) | −40.9332 | + | 40.0352i | −1.50473 | + | 1.47172i | ||||
\(741\) | −19.0269 | − | 17.8107i | −0.698970 | − | 0.654293i | ||||
\(742\) | 5.48911 | − | 13.0468i | 0.201512 | − | 0.478963i | ||||
\(743\) | − | 2.47482i | − | 0.0907924i | −0.998969 | − | 0.0453962i | \(-0.985545\pi\) | ||
0.998969 | − | 0.0453962i | \(-0.0144550\pi\) | |||||||
\(744\) | −11.7677 | − | 27.1446i | −0.431426 | − | 0.995169i | ||||
\(745\) | − | 10.1769i | − | 0.372855i | ||||||
\(746\) | −35.5855 | − | 14.9717i | −1.30288 | − | 0.548154i | ||||
\(747\) | 2.12805 | + | 1.86416i | 0.0778611 | + | 0.0682060i | ||||
\(748\) | −0.0897968 | + | 8.09644i | −0.00328330 | + | 0.296035i | ||||
\(749\) | −11.7876 | − | 11.7876i | −0.430710 | − | 0.430710i | ||||
\(750\) | −6.05762 | − | 13.5590i | −0.221193 | − | 0.495105i | ||||
\(751\) | − | 34.4337i | − | 1.25650i | −0.778010 | − | 0.628252i | \(-0.783771\pi\) | ||
0.778010 | − | 0.628252i | \(-0.216229\pi\) | |||||||
\(752\) | −0.306201 | + | 13.8025i | −0.0111660 | + | 0.503324i | ||||
\(753\) | 0.233828 | + | 7.08263i | 0.00852116 | + | 0.258105i | ||||
\(754\) | −51.5330 | + | 21.0116i | −1.87672 | + | 0.765199i | ||||
\(755\) | −5.82659 | + | 5.82659i | −0.212051 | + | 0.212051i | ||||
\(756\) | 0.912477 | + | 10.3522i | 0.0331865 | + | 0.376505i | ||||
\(757\) | −18.3886 | − | 18.3886i | −0.668346 | − | 0.668346i | 0.288987 | − | 0.957333i | \(-0.406681\pi\) |
−0.957333 | + | 0.288987i | \(0.906681\pi\) | |||||||
\(758\) | −4.15366 | + | 9.87261i | −0.150868 | + | 0.358589i | ||||
\(759\) | 8.26436 | − | 0.272842i | 0.299977 | − | 0.00990353i | ||||
\(760\) | 11.8104 | − | 27.2229i | 0.428409 | − | 0.987480i | ||||
\(761\) | 12.2689 | 0.444749 | 0.222374 | − | 0.974961i | \(-0.428619\pi\) | ||||
0.222374 | + | 0.974961i | \(0.428619\pi\) | |||||||
\(762\) | 17.7016 | − | 46.2909i | 0.641261 | − | 1.67694i | ||||
\(763\) | 0.978979 | − | 0.978979i | 0.0354414 | − | 0.0354414i | ||||
\(764\) | −15.4517 | + | 15.1127i | −0.559023 | + | 0.546759i | ||||
\(765\) | 21.5439 | − | 24.5936i | 0.778922 | − | 0.889185i | ||||
\(766\) | −15.0283 | + | 6.12750i | −0.542993 | + | 0.221396i | ||||
\(767\) | 11.1258 | 0.401728 | ||||||||
\(768\) | −19.3721 | − | 19.8172i | −0.699029 | − | 0.715093i | ||||
\(769\) | 12.0880 | 0.435903 | 0.217952 | − | 0.975960i | \(-0.430062\pi\) | ||||
0.217952 | + | 0.975960i | \(0.430062\pi\) | |||||||
\(770\) | 3.81086 | − | 1.55381i | 0.137334 | − | 0.0559954i | ||||
\(771\) | −20.7551 | + | 22.1723i | −0.747476 | + | 0.798515i | ||||
\(772\) | 1.23726 | − | 1.21012i | 0.0445301 | − | 0.0435532i | ||||
\(773\) | 10.7162 | − | 10.7162i | 0.385434 | − | 0.385434i | −0.487622 | − | 0.873055i | \(-0.662135\pi\) |
0.873055 | + | 0.487622i | \(0.162135\pi\) | |||||||
\(774\) | 9.81015 | + | 3.38479i | 0.352618 | + | 0.121664i | ||||
\(775\) | 17.1142 | 0.614762 | ||||||||
\(776\) | 13.4845 | − | 31.0817i | 0.484065 | − | 1.11577i | ||||
\(777\) | −0.584567 | − | 17.7065i | −0.0209712 | − | 0.635217i | ||||
\(778\) | −10.4434 | + | 24.8224i | −0.374415 | + | 0.889927i | ||||
\(779\) | 1.12409 | + | 1.12409i | 0.0402748 | + | 0.0402748i | ||||
\(780\) | −0.852759 | − | 38.9115i | −0.0305337 | − | 1.39326i | ||||
\(781\) | −6.25507 | + | 6.25507i | −0.223824 | + | 0.223824i | ||||
\(782\) | −23.4135 | + | 9.54644i | −0.837267 | + | 0.341380i | ||||
\(783\) | −50.6889 | + | 5.03500i | −1.81147 | + | 0.179936i | ||||
\(784\) | 0.0887163 | − | 3.99902i | 0.00316844 | − | 0.142822i | ||||
\(785\) | − | 25.1899i | − | 0.899065i | ||||||
\(786\) | −19.1762 | + | 8.56716i | −0.683993 | + | 0.305581i | ||||
\(787\) | −18.9226 | − | 18.9226i | −0.674519 | − | 0.674519i | 0.284235 | − | 0.958755i | \(-0.408260\pi\) |
−0.958755 | + | 0.284235i | \(0.908260\pi\) | |||||||
\(788\) | −0.264630 | + | 23.8601i | −0.00942707 | + | 0.849982i | ||||
\(789\) | 32.4334 | − | 34.6481i | 1.15466 | − | 1.23350i | ||||
\(790\) | −9.68864 | − | 4.07625i | −0.344706 | − | 0.145027i | ||||
\(791\) | − | 7.35599i | − | 0.261549i | ||||||
\(792\) | 3.77426 | + | 7.97418i | 0.134112 | + | 0.283350i | ||||
\(793\) | 0.370931i | 0.0131721i | ||||||||
\(794\) | 9.33358 | − | 22.1845i | 0.331236 | − | 0.787299i | ||||
\(795\) | −33.1586 | + | 35.4228i | −1.17602 | + | 1.25632i | ||||
\(796\) | 22.8412 | − | 22.3401i | 0.809584 | − | 0.791823i | ||||
\(797\) | −34.1544 | − | 34.1544i | −1.20981 | − | 1.20981i | −0.971088 | − | 0.238722i | \(-0.923272\pi\) |
−0.238722 | − | 0.971088i | \(-0.576728\pi\) | |||||||
\(798\) | 3.74526 | + | 8.38316i | 0.132581 | + | 0.296761i | ||||
\(799\) | 13.4394i | 0.475452i | ||||||||
\(800\) | 14.9750 | − | 5.72181i | 0.529446 | − | 0.202297i | ||||
\(801\) | −2.80708 | − | 42.4668i | −0.0991832 | − | 1.50049i | ||||
\(802\) | 13.6631 | + | 33.5100i | 0.482460 | + | 1.18328i | ||||
\(803\) | −3.77655 | + | 3.77655i | −0.133272 | + | 0.133272i | ||||
\(804\) | 34.6015 | + | 33.1174i | 1.22030 | + | 1.16796i | ||||
\(805\) | 9.08750 | + | 9.08750i | 0.320292 | + | 0.320292i | ||||
\(806\) | −31.6011 | − | 13.2954i | −1.11310 | − | 0.468310i | ||||
\(807\) | 1.33405 | + | 40.4084i | 0.0469610 | + | 1.42244i | ||||
\(808\) | 18.0733 | + | 45.7718i | 0.635815 | + | 1.61025i | ||||
\(809\) | −30.0240 | −1.05559 | −0.527793 | − | 0.849373i | \(-0.676981\pi\) | ||||
−0.527793 | + | 0.849373i | \(0.676981\pi\) | |||||||
\(810\) | 9.37279 | − | 34.3692i | 0.329326 | − | 1.20761i | ||||
\(811\) | 37.2987 | − | 37.2987i | 1.30974 | − | 1.30974i | 0.388132 | − | 0.921604i | \(-0.373120\pi\) |
0.921604 | − | 0.388132i | \(-0.126880\pi\) | |||||||
\(812\) | 19.6050 | + | 0.217437i | 0.687999 | + | 0.00763053i | ||||
\(813\) | 23.3914 | − | 24.9886i | 0.820372 | − | 0.876389i | ||||
\(814\) | −5.67829 | − | 13.9265i | −0.199024 | − | 0.488125i | ||||
\(815\) | −41.4083 | −1.45047 | ||||||||
\(816\) | −19.2811 | − | 18.8682i | −0.674973 | − | 0.660520i | ||||
\(817\) | 9.16880 | 0.320776 | ||||||||
\(818\) | 8.38878 | + | 20.5743i | 0.293307 | + | 0.719362i | ||||
\(819\) | 9.05859 | + | 7.93528i | 0.316533 | + | 0.277281i | ||||
\(820\) | −0.0263285 | + | 2.37389i | −0.000919432 | + | 0.0828997i | ||||
\(821\) | −36.8810 | + | 36.8810i | −1.28716 | + | 1.28716i | −0.350651 | + | 0.936506i | \(0.614040\pi\) |
−0.936506 | + | 0.350651i | \(0.885960\pi\) | |||||||
\(822\) | 40.0193 | + | 15.3034i | 1.39583 | + | 0.533766i | ||||
\(823\) | −27.6092 | −0.962395 | −0.481198 | − | 0.876612i | \(-0.659798\pi\) | ||||
−0.481198 | + | 0.876612i | \(0.659798\pi\) | |||||||
\(824\) | 9.88832 | − | 22.7925i | 0.344476 | − | 0.794015i | ||||
\(825\) | −5.10060 | + | 0.168393i | −0.177580 | + | 0.00586268i | ||||
\(826\) | −3.61287 | − | 1.52002i | −0.125708 | − | 0.0528884i | ||||
\(827\) | −36.5603 | − | 36.5603i | −1.27133 | − | 1.27133i | −0.945392 | − | 0.325935i | \(-0.894321\pi\) |
−0.325935 | − | 0.945392i | \(-0.605679\pi\) | |||||||
\(828\) | −18.3822 | + | 20.5207i | −0.638826 | + | 0.713143i | ||||
\(829\) | 7.72180 | − | 7.72180i | 0.268189 | − | 0.268189i | −0.560181 | − | 0.828370i | \(-0.689268\pi\) |
0.828370 | + | 0.560181i | \(0.189268\pi\) | |||||||
\(830\) | 1.40931 | + | 3.45646i | 0.0489179 | + | 0.119976i | ||||
\(831\) | −0.0708793 | − | 2.14693i | −0.00245878 | − | 0.0744762i | ||||
\(832\) | −32.0961 | − | 1.06827i | −1.11273 | − | 0.0370358i | ||||
\(833\) | − | 3.89383i | − | 0.134913i | ||||||
\(834\) | 5.83694 | − | 2.60771i | 0.202117 | − | 0.0902976i | ||||
\(835\) | 11.6277 | + | 11.6277i | 0.402394 | + | 0.402394i | ||||
\(836\) | 5.45015 | + | 5.57240i | 0.188497 | + | 0.192725i | ||||
\(837\) | −24.2738 | − | 19.8872i | −0.839027 | − | 0.687404i | ||||
\(838\) | 18.7851 | − | 44.6494i | 0.648921 | − | 1.54239i | ||||
\(839\) | 42.6397i | 1.47209i | 0.676935 | + | 0.736043i | \(0.263308\pi\) | ||||
−0.676935 | + | 0.736043i | \(0.736692\pi\) | |||||||
\(840\) | −5.03925 | + | 12.7522i | −0.173871 | + | 0.439994i | ||||
\(841\) | 67.1004i | 2.31381i | ||||||||
\(842\) | 18.8238 | + | 7.91964i | 0.648710 | + | 0.272929i | ||||
\(843\) | 31.8129 | + | 29.7795i | 1.09570 | + | 1.02566i | ||||
\(844\) | 1.60810 | + | 0.0178353i | 0.0553532 | + | 0.000613916i | ||||
\(845\) | −6.16318 | − | 6.16318i | −0.212020 | − | 0.212020i | ||||
\(846\) | 6.41095 | + | 13.1654i | 0.220413 | + | 0.452634i | ||||
\(847\) | − | 9.91899i | − | 0.340821i | ||||||
\(848\) | 27.6741 | + | 28.9298i | 0.950333 | + | 0.993455i | ||||
\(849\) | −56.5551 | + | 1.86713i | −1.94097 | + | 0.0640796i | ||||
\(850\) | 14.4504 | − | 5.89188i | 0.495644 | − | 0.202090i | ||||
\(851\) | 33.2096 | − | 33.2096i | 1.13841 | − | 1.13841i | ||||
\(852\) | −0.645754 | − | 29.4659i | −0.0221232 | − | 1.00948i | ||||
\(853\) | −17.8281 | − | 17.8281i | −0.610422 | − | 0.610422i | 0.332634 | − | 0.943056i | \(-0.392063\pi\) |
−0.943056 | + | 0.332634i | \(0.892063\pi\) | |||||||
\(854\) | 0.0506773 | − | 0.120452i | 0.00173414 | − | 0.00412179i | ||||
\(855\) | −2.07595 | − | 31.4060i | −0.0709961 | − | 1.07406i | ||||
\(856\) | 43.8555 | − | 17.3166i | 1.49895 | − | 0.591868i | ||||
\(857\) | 24.8082 | 0.847431 | 0.423715 | − | 0.905795i | \(-0.360726\pi\) | ||||
0.423715 | + | 0.905795i | \(0.360726\pi\) | |||||||
\(858\) | 9.54899 | + | 3.65153i | 0.325997 | + | 0.124661i | ||||
\(859\) | −21.5648 | + | 21.5648i | −0.735783 | + | 0.735783i | −0.971759 | − | 0.235976i | \(-0.924171\pi\) |
0.235976 | + | 0.971759i | \(0.424171\pi\) | |||||||
\(860\) | 9.57407 | + | 9.78882i | 0.326473 | + | 0.333796i | ||||
\(861\) | −0.536270 | − | 0.501992i | −0.0182760 | − | 0.0171079i | ||||
\(862\) | 6.14589 | − | 2.50587i | 0.209330 | − | 0.0853504i | ||||
\(863\) | 23.1129 | 0.786774 | 0.393387 | − | 0.919373i | \(-0.371303\pi\) | ||||
0.393387 | + | 0.919373i | \(0.371303\pi\) | |||||||
\(864\) | −27.8886 | − | 9.28590i | −0.948788 | − | 0.315913i | ||||
\(865\) | 22.3850 | 0.761112 | ||||||||
\(866\) | −29.9110 | + | 12.1957i | −1.01642 | + | 0.414426i | ||||
\(867\) | 2.32429 | + | 2.17572i | 0.0789369 | + | 0.0738914i | ||||
\(868\) | 8.44539 | + | 8.63482i | 0.286655 | + | 0.293085i | ||||
\(869\) | 1.95231 | − | 1.95231i | 0.0662275 | − | 0.0662275i | ||||
\(870\) | −62.7756 | − | 24.0054i | −2.12829 | − | 0.813858i | ||||
\(871\) | 55.5024 | 1.88063 | ||||||||
\(872\) | 1.43817 | + | 3.64226i | 0.0487024 | + | 0.123343i | ||||
\(873\) | −2.37021 | − | 35.8577i | −0.0802195 | − | 1.21360i | ||||
\(874\) | −9.43938 | + | 22.4360i | −0.319292 | + | 0.758908i | ||||
\(875\) | 4.28701 | + | 4.28701i | 0.144927 | + | 0.144927i | ||||
\(876\) | −0.389879 | − | 17.7902i | −0.0131728 | − | 0.601077i | ||||
\(877\) | 4.01492 | − | 4.01492i | 0.135574 | − | 0.135574i | −0.636063 | − | 0.771637i | \(-0.719438\pi\) |
0.771637 | + | 0.636063i | \(0.219438\pi\) | |||||||
\(878\) | 13.5849 | − | 5.53900i | 0.458468 | − | 0.186932i | ||||
\(879\) | 34.7991 | − | 1.14887i | 1.17375 | − | 0.0387503i | ||||
\(880\) | −0.258170 | + | 11.6374i | −0.00870292 | + | 0.392297i | ||||
\(881\) | 38.8398i | 1.30855i | 0.756259 | + | 0.654273i | \(0.227025\pi\) | ||||
−0.756259 | + | 0.654273i | \(0.772975\pi\) | |||||||
\(882\) | −1.85746 | − | 3.81443i | −0.0625439 | − | 0.128438i | ||||
\(883\) | 25.1588 | + | 25.1588i | 0.846663 | + | 0.846663i | 0.989715 | − | 0.143053i | \(-0.0456918\pi\) |
−0.143053 | + | 0.989715i | \(0.545692\pi\) | |||||||
\(884\) | −31.2595 | − | 0.346696i | −1.05137 | − | 0.0116607i | ||||
\(885\) | 9.80915 | + | 9.18216i | 0.329731 | + | 0.308655i | ||||
\(886\) | 43.7293 | + | 18.3980i | 1.46912 | + | 0.618094i | ||||
\(887\) | 2.52225i | 0.0846890i | 0.999103 | + | 0.0423445i | \(0.0134827\pi\) | ||||
−0.999103 | + | 0.0423445i | \(0.986517\pi\) | |||||||
\(888\) | 46.6021 | + | 18.4156i | 1.56386 | + | 0.617987i | ||||
\(889\) | 20.2328i | 0.678586i | ||||||||
\(890\) | 21.7764 | − | 51.7593i | 0.729948 | − | 1.73498i | ||||
\(891\) | 7.43007 | + | 5.68821i | 0.248917 | + | 0.190562i | ||||
\(892\) | −14.7052 | − | 15.0350i | −0.492366 | − | 0.503410i | ||||
\(893\) | 9.14824 | + | 9.14824i | 0.306134 | + | 0.306134i | ||||
\(894\) | −8.13181 | + | 3.63297i | −0.271968 | + | 0.121505i | ||||
\(895\) | 38.7053i | 1.29377i | ||||||||
\(896\) | 10.2766 | + | 4.73194i | 0.343318 | + | 0.158083i | ||||
\(897\) | 1.05341 | + | 31.9078i | 0.0351725 | + | 1.06537i | ||||
\(898\) | −3.87055 | − | 9.49288i | −0.129162 | − | 0.316782i | ||||
\(899\) | −41.8622 | + | 41.8622i | −1.39618 | + | 1.39618i | ||||
\(900\) | 11.3451 | − | 12.6650i | 0.378171 | − | 0.422165i | ||||
\(901\) | 27.5575 | + | 27.5575i | 0.918074 | + | 0.918074i | ||||
\(902\) | −0.574788 | − | 0.241828i | −0.0191383 | − | 0.00805198i | ||||
\(903\) | −4.23435 | + | 0.139794i | −0.140910 | + | 0.00465205i | ||||
\(904\) | 19.0870 | + | 8.28072i | 0.634825 | + | 0.275413i | ||||
\(905\) | 69.4251 | 2.30777 | ||||||||
\(906\) | 6.73567 | + | 2.57572i | 0.223778 | + | 0.0855724i | ||||
\(907\) | 26.2356 | − | 26.2356i | 0.871140 | − | 0.871140i | −0.121457 | − | 0.992597i | \(-0.538757\pi\) |
0.992597 | + | 0.121457i | \(0.0387566\pi\) | |||||||
\(908\) | 0.578240 | − | 52.1364i | 0.0191896 | − | 1.73021i | ||||
\(909\) | 39.2621 | + | 34.3934i | 1.30224 | + | 1.14076i | ||||
\(910\) | 5.99910 | + | 14.7134i | 0.198868 | + | 0.487743i | ||||
\(911\) | 7.24925 | 0.240178 | 0.120089 | − | 0.992763i | \(-0.461682\pi\) | ||||
0.120089 | + | 0.992763i | \(0.461682\pi\) | |||||||
\(912\) | −25.9684 | + | 0.281025i | −0.859898 | + | 0.00930566i | ||||
\(913\) | −0.980478 | −0.0324491 | ||||||||
\(914\) | −5.59049 | − | 13.7112i | −0.184917 | − | 0.453526i | ||||
\(915\) | −0.306132 | + | 0.327035i | −0.0101204 | + | 0.0108114i | ||||
\(916\) | 25.0312 | + | 0.277618i | 0.827054 | + | 0.00917277i | ||||
\(917\) | 6.06303 | − | 6.06303i | 0.200219 | − | 0.200219i | ||||
\(918\) | −27.3421 | − | 8.43507i | −0.902424 | − | 0.278399i | ||||
\(919\) | −30.7140 | −1.01316 | −0.506581 | − | 0.862192i | \(-0.669091\pi\) | ||||
−0.506581 | + | 0.862192i | \(0.669091\pi\) | |||||||
\(920\) | −33.8098 | + | 13.3500i | −1.11467 | + | 0.440135i | ||||
\(921\) | −0.281222 | − | 8.51821i | −0.00926659 | − | 0.280684i | ||||
\(922\) | −1.44984 | − | 0.609984i | −0.0477479 | − | 0.0200887i | ||||
\(923\) | −24.1502 | − | 24.1502i | −0.794913 | − | 0.794913i | ||||
\(924\) | −2.60196 | − | 2.49036i | −0.0855982 | − | 0.0819269i | ||||
\(925\) | −20.4963 | + | 20.4963i | −0.673915 | + | 0.673915i | ||||
\(926\) | 6.29689 | + | 15.4437i | 0.206929 | + | 0.507511i | ||||
\(927\) | −1.73810 | − | 26.2948i | −0.0570867 | − | 0.863634i | ||||
\(928\) | −22.6337 | + | 50.6254i | −0.742988 | + | 1.66186i | ||||
\(929\) | 14.4699i | 0.474742i | 0.971419 | + | 0.237371i | \(0.0762856\pi\) | ||||
−0.971419 | + | 0.237371i | \(0.923714\pi\) | |||||||
\(930\) | −16.8887 | − | 37.8026i | −0.553802 | − | 1.23960i | ||||
\(931\) | −2.65054 | − | 2.65054i | −0.0868679 | − | 0.0868679i | ||||
\(932\) | −3.34810 | + | 3.27465i | −0.109671 | + | 0.107265i | ||||
\(933\) | 16.1593 | − | 17.2627i | 0.529031 | − | 0.565154i | ||||
\(934\) | 9.88446 | − | 23.4939i | 0.323429 | − | 0.768743i | ||||
\(935\) | 11.3313i | 0.370573i | ||||||||
\(936\) | −30.7875 | + | 14.5720i | −1.00632 | + | 0.476301i | ||||
\(937\) | 12.6716i | 0.413963i | 0.978345 | + | 0.206981i | \(0.0663639\pi\) | ||||
−0.978345 | + | 0.206981i | \(0.933636\pi\) | |||||||
\(938\) | −18.0233 | − | 7.58284i | −0.588481 | − | 0.247589i | ||||
\(939\) | 5.54846 | − | 5.92733i | 0.181067 | − | 0.193431i | ||||
\(940\) | −0.214270 | + | 19.3195i | −0.00698873 | + | 0.630132i | ||||
\(941\) | −23.3569 | − | 23.3569i | −0.761414 | − | 0.761414i | 0.215164 | − | 0.976578i | \(-0.430971\pi\) |
−0.976578 | + | 0.215164i | \(0.930971\pi\) | |||||||
\(942\) | −20.1278 | + | 8.99227i | −0.655798 | + | 0.292984i | ||||
\(943\) | − | 1.94733i | − | 0.0634137i | ||||||
\(944\) | 8.01114 | − | 7.66341i | 0.260741 | − | 0.249423i | ||||
\(945\) | 1.43756 | + | 14.4723i | 0.0467638 | + | 0.470785i | ||||
\(946\) | −3.33041 | + | 1.35791i | −0.108281 | + | 0.0441496i | ||||
\(947\) | 31.4379 | − | 31.4379i | 1.02160 | − | 1.02160i | 0.0218345 | − | 0.999762i | \(-0.493049\pi\) |
0.999762 | − | 0.0218345i | \(-0.00695068\pi\) | |||||||
\(948\) | 0.201550 | + | 9.19677i | 0.00654605 | + | 0.298697i | ||||
\(949\) | −14.5809 | − | 14.5809i | −0.473315 | − | 0.473315i | ||||
\(950\) | 5.82580 | − | 13.8470i | 0.189014 | − | 0.449257i | ||||
\(951\) | 1.13610 | + | 34.4124i | 0.0368405 | + | 1.11590i | ||||
\(952\) | 10.1035 | + | 4.38332i | 0.327458 | + | 0.142064i | ||||
\(953\) | −55.1556 | −1.78667 | −0.893333 | − | 0.449395i | \(-0.851639\pi\) | ||||
−0.893333 | + | 0.449395i | \(0.851639\pi\) | |||||||
\(954\) | 40.1413 | + | 13.8499i | 1.29962 | + | 0.448408i | ||||
\(955\) | −21.3881 | + | 21.3881i | −0.692102 | + | 0.692102i | ||||
\(956\) | −6.04954 | + | 5.91682i | −0.195656 | + | 0.191364i | ||||
\(957\) | 12.0644 | − | 12.8882i | 0.389987 | − | 0.416617i | ||||
\(958\) | −16.2854 | + | 6.64008i | −0.526158 | + | 0.214531i | ||||
\(959\) | −17.4916 | −0.564834 | ||||||||
\(960\) | −27.4162 | − | 27.4310i | −0.884854 | − | 0.885331i | ||||
\(961\) | −5.47118 | −0.176490 | ||||||||
\(962\) | 53.7689 | − | 21.9233i | 1.73358 | − | 0.706835i | ||||
\(963\) | 32.9534 | − | 37.6182i | 1.06191 | − | 1.21223i | ||||
\(964\) | −10.6418 | + | 10.4083i | −0.342749 | + | 0.335229i | ||||
\(965\) | 1.71261 | − | 1.71261i | 0.0551308 | − | 0.0551308i | ||||
\(966\) | 4.01724 | − | 10.5053i | 0.129253 | − | 0.338004i | ||||
\(967\) | 9.50752 | 0.305741 | 0.152871 | − | 0.988246i | \(-0.451148\pi\) | ||||
0.152871 | + | 0.988246i | \(0.451148\pi\) | |||||||
\(968\) | 25.7374 | + | 11.1659i | 0.827231 | + | 0.358886i | ||||
\(969\) | −25.2668 | + | 0.834164i | −0.811686 | + | 0.0267972i | ||||
\(970\) | 18.3874 | − | 43.7040i | 0.590383 | − | 1.40325i | ||||
\(971\) | 39.2171 | + | 39.2171i | 1.25854 | + | 1.25854i | 0.951792 | + | 0.306746i | \(0.0992401\pi\) |
0.306746 | + | 0.951792i | \(0.400760\pi\) | |||||||
\(972\) | −30.8083 | + | 4.77985i | −0.988178 | + | 0.153314i | ||||
\(973\) | −1.84549 | + | 1.84549i | −0.0591637 | + | 0.0591637i | ||||
\(974\) | −7.14679 | + | 2.91397i | −0.228998 | + | 0.0933697i | ||||
\(975\) | −0.650147 | − | 19.6929i | −0.0208214 | − | 0.630678i | ||||
\(976\) | 0.255497 | + | 0.267090i | 0.00817825 | + | 0.00854935i | ||||
\(977\) | 34.1054i | 1.09113i | 0.838069 | + | 0.545564i | \(0.183684\pi\) | ||||
−0.838069 | + | 0.545564i | \(0.816316\pi\) | |||||||
\(978\) | 14.7819 | + | 33.0870i | 0.472674 | + | 1.05801i | ||||
\(979\) | 10.4298 | + | 10.4298i | 0.333337 | + | 0.333337i | ||||
\(980\) | 0.0620810 | − | 5.59747i | 0.00198310 | − | 0.178805i | ||||
\(981\) | 3.12425 | + | 2.73683i | 0.0997497 | + | 0.0873803i | ||||
\(982\) | −29.4883 | − | 12.4065i | −0.941008 | − | 0.395906i | ||||
\(983\) | − | 31.2049i | − | 0.995282i | −0.867383 | − | 0.497641i | \(-0.834200\pi\) | ||
0.867383 | − | 0.497641i | \(-0.165800\pi\) | |||||||
\(984\) | 1.90623 | − | 0.826393i | 0.0607685 | − | 0.0263444i | ||||
\(985\) | 33.3932i | 1.06400i | ||||||||
\(986\) | −20.9345 | + | 49.7581i | −0.666690 | + | 1.58462i | ||||
\(987\) | −4.36434 | − | 4.08538i | −0.138919 | − | 0.130039i | ||||
\(988\) | −21.5145 | + | 21.0425i | −0.684466 | + | 0.669450i | ||||
\(989\) | −7.94179 | − | 7.94179i | −0.252534 | − | 0.252534i | ||||
\(990\) | 5.40533 | + | 11.1002i | 0.171793 | + | 0.352789i | ||||
\(991\) | 27.0130i | 0.858095i | 0.903282 | + | 0.429048i | \(0.141151\pi\) | ||||
−0.903282 | + | 0.429048i | \(0.858849\pi\) | |||||||
\(992\) | −31.9124 | + | 12.1934i | −1.01322 | + | 0.387142i | ||||
\(993\) | 30.5699 | − | 1.00924i | 0.970105 | − | 0.0320273i | ||||
\(994\) | 4.54284 | + | 11.1417i | 0.144090 | + | 0.353394i | ||||
\(995\) | 31.6165 | − | 31.6165i | 1.00231 | − | 1.00231i | ||||
\(996\) | 2.25876 | − | 2.35999i | 0.0715717 | − | 0.0747790i | ||||
\(997\) | 25.0482 | + | 25.0482i | 0.793283 | + | 0.793283i | 0.982026 | − | 0.188743i | \(-0.0604414\pi\) |
−0.188743 | + | 0.982026i | \(0.560441\pi\) | |||||||
\(998\) | −29.4908 | − | 12.4075i | −0.933515 | − | 0.392753i | ||||
\(999\) | 52.8881 | − | 5.25346i | 1.67331 | − | 0.166212i |
(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 | 336.2.s.d.155.3 | ✓ | 48 | |
3.2 | odd | 2 | inner | 336.2.s.d.155.22 | yes | 48 | |
4.3 | odd | 2 | 1344.2.s.d.911.7 | 48 | |||
12.11 | even | 2 | 1344.2.s.d.911.8 | 48 | |||
16.3 | odd | 4 | inner | 336.2.s.d.323.22 | yes | 48 | |
16.13 | even | 4 | 1344.2.s.d.239.8 | 48 | |||
48.29 | odd | 4 | 1344.2.s.d.239.7 | 48 | |||
48.35 | even | 4 | inner | 336.2.s.d.323.3 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.2.s.d.155.3 | ✓ | 48 | 1.1 | even | 1 | trivial | |
336.2.s.d.155.22 | yes | 48 | 3.2 | odd | 2 | inner | |
336.2.s.d.323.3 | yes | 48 | 48.35 | even | 4 | inner | |
336.2.s.d.323.22 | yes | 48 | 16.3 | odd | 4 | inner | |
1344.2.s.d.239.7 | 48 | 48.29 | odd | 4 | |||
1344.2.s.d.239.8 | 48 | 16.13 | even | 4 | |||
1344.2.s.d.911.7 | 48 | 4.3 | odd | 2 | |||
1344.2.s.d.911.8 | 48 | 12.11 | even | 2 |