Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [256,2,Mod(17,256)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(256, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("256.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 256 = 2^{8} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 256.i (of order \(16\), degree \(8\), not 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: | \(2.04417029174\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{16})\) |
Twist minimal: | no (minimal twist has level 64) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 17.1 | ||
Character | \(\chi\) | \(=\) | 256.17 |
Dual form | 256.2.i.a.241.1 |
$q$-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 \(\left(\mathbb{Z}/256\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(255\) |
\(\chi(n)\) | \(e\left(\frac{7}{16}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.40926 | − | 2.10911i | −0.813639 | − | 1.21770i | −0.973075 | − | 0.230488i | \(-0.925968\pi\) |
0.159436 | − | 0.987208i | \(-0.449032\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.573974 | − | 2.88556i | −0.256689 | − | 1.29046i | −0.867003 | − | 0.498303i | \(-0.833957\pi\) |
0.610314 | − | 0.792160i | \(-0.291043\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.410118 | + | 0.990113i | 0.155010 | + | 0.374228i | 0.982238 | − | 0.187639i | \(-0.0600835\pi\) |
−0.827228 | + | 0.561866i | \(0.810083\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.31428 | + | 3.17295i | −0.438093 | + | 1.05765i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.05695 | − | 1.37441i | −0.620195 | − | 0.414401i | 0.205389 | − | 0.978680i | \(-0.434154\pi\) |
−0.825584 | + | 0.564279i | \(0.809154\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.809767 | + | 4.07097i | −0.224589 | + | 1.12909i | 0.689723 | + | 0.724074i | \(0.257732\pi\) |
−0.914312 | + | 0.405011i | \(0.867268\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −5.27710 | + | 5.27710i | −1.36254 | + | 1.36254i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −5.42249 | − | 5.42249i | −1.31515 | − | 1.31515i | −0.917567 | − | 0.397581i | \(-0.869850\pi\) |
−0.397581 | − | 0.917567i | \(-0.630150\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.276199 | − | 0.0549395i | −0.0633645 | − | 0.0126040i | 0.163306 | − | 0.986575i | \(-0.447784\pi\) |
−0.226671 | + | 0.973971i | \(0.572784\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.51030 | − | 2.26032i | 0.329573 | − | 0.493241i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.16092 | + | 1.72351i | 0.867613 | + | 0.359377i | 0.771680 | − | 0.636011i | \(-0.219417\pi\) |
0.0959326 | + | 0.995388i | \(0.469417\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.37763 | + | 1.39906i | −0.675526 | + | 0.279812i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.08068 | − | 0.214961i | 0.207977 | − | 0.0413692i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.60695 | − | 2.41009i | 0.669795 | − | 0.447542i | −0.173615 | − | 0.984814i | \(-0.555545\pi\) |
0.843410 | + | 0.537271i | \(0.180545\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 7.05396i | − | 1.26693i | −0.773772 | − | 0.633464i | \(-0.781632\pi\) | ||
0.773772 | − | 0.633464i | \(-0.218368\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 6.27526i | 1.09238i | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.62164 | − | 1.75172i | 0.443137 | − | 0.296095i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.14453 | + | 0.227662i | −0.188160 | + | 0.0374273i | −0.288271 | − | 0.957549i | \(-0.593080\pi\) |
0.100111 | + | 0.994976i | \(0.468080\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 9.72732 | − | 4.02919i | 1.55762 | − | 0.645186i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.94047 | − | 0.803770i | −0.303051 | − | 0.125528i | 0.225976 | − | 0.974133i | \(-0.427443\pi\) |
−0.529027 | + | 0.848605i | \(0.677443\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.38520 | − | 3.56971i | 0.363740 | − | 0.544375i | −0.603786 | − | 0.797146i | \(-0.706342\pi\) |
0.967526 | + | 0.252771i | \(0.0813419\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 9.91012 | + | 1.97125i | 1.47731 | + | 0.293856i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.48019 | + | 2.48019i | 0.361772 | + | 0.361772i | 0.864465 | − | 0.502693i | \(-0.167657\pi\) |
−0.502693 | + | 0.864465i | \(0.667657\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.13762 | − | 4.13762i | 0.591089 | − | 0.591089i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −3.79492 | + | 19.0784i | −0.531396 | + | 2.67151i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.01758 | + | 2.68446i | 0.551856 | + | 0.368739i | 0.800014 | − | 0.599981i | \(-0.204825\pi\) |
−0.248158 | + | 0.968720i | \(0.579825\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.78532 | + | 6.72435i | −0.375572 | + | 0.906711i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.273364 | + | 0.659960i | 0.0362080 | + | 0.0874138i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −2.94015 | − | 14.7811i | −0.382774 | − | 1.92434i | −0.381577 | − | 0.924337i | \(-0.624619\pi\) |
−0.00119757 | − | 0.999999i | \(-0.500381\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.39259 | − | 2.08416i | −0.178303 | − | 0.266849i | 0.731543 | − | 0.681795i | \(-0.238801\pi\) |
−0.909846 | + | 0.414946i | \(0.863801\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −3.68059 | −0.463711 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 12.2118 | 1.51469 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.964506 | + | 1.44349i | 0.117833 | + | 0.176350i | 0.885698 | − | 0.464263i | \(-0.153681\pi\) |
−0.767864 | + | 0.640612i | \(0.778681\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −2.22876 | − | 11.2047i | −0.268311 | − | 1.34889i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.416406 | − | 1.00529i | −0.0494183 | − | 0.119306i | 0.897243 | − | 0.441538i | \(-0.145567\pi\) |
−0.946661 | + | 0.322232i | \(0.895567\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.857131 | + | 2.06930i | −0.100320 | + | 0.242193i | −0.966069 | − | 0.258285i | \(-0.916842\pi\) |
0.865749 | + | 0.500478i | \(0.166842\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 7.71074 | + | 5.15215i | 0.890360 | + | 0.594919i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.517230 | − | 2.60029i | 0.0589438 | − | 0.296331i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.08005 | − | 2.08005i | 0.234024 | − | 0.234024i | −0.580346 | − | 0.814370i | \(-0.697083\pi\) |
0.814370 | + | 0.580346i | \(0.197083\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.30908 | + | 5.30908i | 0.589898 | + | 0.589898i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.161971 | − | 0.0322180i | −0.0177786 | − | 0.00353639i | 0.186193 | − | 0.982513i | \(-0.440385\pi\) |
−0.203972 | + | 0.978977i | \(0.565385\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −12.5346 | + | 18.7593i | −1.35957 | + | 2.03473i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −10.1663 | − | 4.21102i | −1.08994 | − | 0.451469i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 6.46642 | − | 2.67848i | 0.685439 | − | 0.283918i | −0.0126595 | − | 0.999920i | \(-0.504030\pi\) |
0.698098 | + | 0.716002i | \(0.254030\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.36283 | + | 0.867820i | −0.457348 | + | 0.0909722i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −14.8776 | + | 9.94089i | −1.54274 | + | 1.03082i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.828524i | 0.0850048i | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 4.46680i | − | 0.453535i | −0.973949 | − | 0.226768i | \(-0.927184\pi\) | ||
0.973949 | − | 0.226768i | \(-0.0728158\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 7.06436 | − | 4.72026i | 0.709995 | − | 0.474404i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.46425 | + | 0.689083i | −0.344706 | + | 0.0685663i | −0.364407 | − | 0.931240i | \(-0.618728\pi\) |
0.0197014 | + | 0.999806i | \(0.493728\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.09157 | + | 2.93742i | −0.698753 | + | 0.289433i | −0.703642 | − | 0.710555i | \(-0.748444\pi\) |
0.00488851 | + | 0.999988i | \(0.498444\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −7.38915 | − | 3.06069i | −0.721108 | − | 0.298693i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.38729 | + | 5.06944i | −0.327462 | + | 0.490081i | −0.958273 | − | 0.285855i | \(-0.907722\pi\) |
0.630811 | + | 0.775936i | \(0.282722\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.05344 | + | 1.60193i | 0.771380 | + | 0.153437i | 0.565062 | − | 0.825048i | \(-0.308852\pi\) |
0.206317 | + | 0.978485i | \(0.433852\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.09311 | + | 2.09311i | 0.198669 | + | 0.198669i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.45755 | − | 7.45755i | 0.701548 | − | 0.701548i | −0.263195 | − | 0.964743i | \(-0.584776\pi\) |
0.964743 | + | 0.263195i | \(0.0847763\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.58504 | − | 12.9959i | 0.241056 | − | 1.21187i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −11.8528 | − | 7.91975i | −1.09579 | − | 0.732182i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 3.14502 | − | 7.59275i | 0.288303 | − | 0.696026i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.86747 | − | 4.50846i | −0.169770 | − | 0.409860i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.03940 | + | 5.22540i | 0.0937193 | + | 0.471159i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −2.19696 | − | 3.28798i | −0.196502 | − | 0.294086i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.81751 | −0.427485 | −0.213742 | − | 0.976890i | \(-0.568565\pi\) | ||||
−0.213742 | + | 0.976890i | \(0.568565\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −10.8903 | −0.958837 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 8.35213 | + | 12.4998i | 0.729729 | + | 1.09212i | 0.991891 | + | 0.127093i | \(0.0405646\pi\) |
−0.262162 | + | 0.965024i | \(0.584435\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.0588781 | − | 0.296000i | −0.00510538 | − | 0.0256665i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.24057 | − | 2.99499i | −0.106771 | − | 0.257768i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −4.31867 | + | 10.4262i | −0.368969 | + | 0.890770i | 0.624951 | + | 0.780664i | \(0.285119\pi\) |
−0.993920 | + | 0.110106i | \(0.964881\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 12.9155 | + | 8.62988i | 1.09548 | + | 0.731977i | 0.965724 | − | 0.259569i | \(-0.0835806\pi\) |
0.129756 | + | 0.991546i | \(0.458581\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.73575 | − | 8.72622i | 0.146177 | − | 0.734881i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 7.26086 | − | 7.26086i | 0.607183 | − | 0.607183i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −9.02476 | − | 9.02476i | −0.749466 | − | 0.749466i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −14.5577 | − | 2.89571i | −1.20070 | − | 0.238834i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 5.78374 | − | 8.65598i | 0.473822 | − | 0.709125i | −0.515171 | − | 0.857088i | \(-0.672271\pi\) |
0.988993 | + | 0.147962i | \(0.0472715\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.0167 | − | 4.56328i | −0.896529 | − | 0.371354i | −0.113644 | − | 0.993522i | \(-0.536252\pi\) |
−0.782884 | + | 0.622167i | \(0.786252\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 24.3320 | − | 10.0786i | 1.96713 | − | 0.814810i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −20.3546 | + | 4.04879i | −1.63492 | + | 0.325207i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −13.3867 | + | 8.94474i | −1.06838 | + | 0.713868i | −0.959932 | − | 0.280234i | \(-0.909588\pi\) |
−0.108447 | + | 0.994102i | \(0.534588\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | − | 12.2566i | − | 0.972014i | ||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 4.82663i | 0.380392i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.74199 | + | 5.84121i | −0.684725 | + | 0.457519i | −0.848651 | − | 0.528954i | \(-0.822584\pi\) |
0.163925 | + | 0.986473i | \(0.447584\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 18.1077 | − | 3.60184i | 1.40968 | − | 0.280403i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 20.9509 | − | 8.67814i | 1.62123 | − | 0.671534i | 0.627019 | − | 0.779004i | \(-0.284275\pi\) |
0.994208 | + | 0.107469i | \(0.0342747\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.90667 | − | 1.61820i | −0.300513 | − | 0.124477i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.537324 | − | 0.804162i | 0.0410902 | − | 0.0614958i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −14.8807 | − | 2.95995i | −1.13136 | − | 0.225041i | −0.406307 | − | 0.913737i | \(-0.633184\pi\) |
−0.725051 | + | 0.688695i | \(0.758184\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.77045 | − | 2.77045i | −0.209427 | − | 0.209427i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −27.0316 | + | 27.0316i | −2.03182 | + | 2.03182i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 0.211084 | − | 1.06119i | 0.0157771 | − | 0.0793170i | −0.972095 | − | 0.234589i | \(-0.924625\pi\) |
0.987872 | + | 0.155272i | \(0.0496255\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 17.9001 | + | 11.9605i | 1.33050 | + | 0.889014i | 0.998526 | − | 0.0542727i | \(-0.0172840\pi\) |
0.331978 | + | 0.943287i | \(0.392284\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.43320 | + | 5.87427i | −0.179867 | + | 0.434238i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1.31386 | + | 3.17195i | 0.0965972 | + | 0.233206i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.70108 | + | 18.6066i | 0.270650 | + | 1.36065i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.656042 | + | 0.981836i | 0.0477200 | + | 0.0714181i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −14.6066 | −1.05690 | −0.528449 | − | 0.848965i | \(-0.677226\pi\) | ||||
−0.528449 | + | 0.848965i | \(0.677226\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.30887 | 0.0942148 | 0.0471074 | − | 0.998890i | \(-0.485000\pi\) | ||||
0.0471074 | + | 0.998890i | \(0.485000\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −17.2097 | − | 25.7561i | −1.23241 | − | 1.84444i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.40826 | + | 17.1345i | 0.242828 | + | 1.22078i | 0.889114 | + | 0.457685i | \(0.151321\pi\) |
−0.646286 | + | 0.763095i | \(0.723679\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.67533 | + | 20.9441i | 0.614978 | + | 1.48469i | 0.857470 | + | 0.514534i | \(0.172035\pi\) |
−0.242492 | + | 0.970153i | \(0.577965\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.68523 | − | 4.06850i | 0.118867 | − | 0.286970i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 3.86554 | + | 2.58287i | 0.271308 | + | 0.181282i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.20555 | + | 6.06070i | −0.0841992 | + | 0.423298i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −10.9372 | + | 10.9372i | −0.760191 | + | 0.760191i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.492620 | + | 0.492620i | 0.0340752 | + | 0.0340752i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 15.8195 | + | 3.14670i | 1.08906 | + | 0.216628i | 0.706790 | − | 0.707423i | \(-0.250142\pi\) |
0.382270 | + | 0.924051i | \(0.375142\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −1.53345 | + | 2.29497i | −0.105070 | + | 0.157249i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −11.6697 | − | 4.83373i | −0.795864 | − | 0.329658i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.98422 | − | 2.89296i | 0.474120 | − | 0.196387i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 5.57230 | − | 1.10840i | 0.376541 | − | 0.0748987i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 26.4658 | − | 17.6839i | 1.78028 | − | 1.18955i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 19.3726i | 1.29728i | 0.761094 | + | 0.648642i | \(0.224663\pi\) | ||||
−0.761094 | + | 0.648642i | \(0.775337\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | − | 12.5558i | − | 0.837054i | ||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 14.4527 | − | 9.65698i | 0.959259 | − | 0.640956i | 0.0258099 | − | 0.999667i | \(-0.491784\pi\) |
0.933449 | + | 0.358711i | \(0.116784\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 16.1567 | − | 3.21376i | 1.06766 | − | 0.212371i | 0.370171 | − | 0.928964i | \(-0.379299\pi\) |
0.697492 | + | 0.716592i | \(0.254299\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −6.21322 | + | 2.57360i | −0.408800 | + | 0.169330i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 20.5399 | + | 8.50789i | 1.34561 | + | 0.557370i | 0.935067 | − | 0.354471i | \(-0.115339\pi\) |
0.410544 | + | 0.911841i | \(0.365339\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.73317 | − | 8.58029i | 0.373991 | − | 0.559717i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −7.31840 | − | 1.45572i | −0.475381 | − | 0.0945592i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 14.4521 | + | 14.4521i | 0.934827 | + | 0.934827i | 0.998002 | − | 0.0631755i | \(-0.0201228\pi\) |
−0.0631755 | + | 0.998002i | \(0.520123\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.6252 | − | 11.6252i | 0.748843 | − | 0.748843i | −0.225419 | − | 0.974262i | \(-0.572375\pi\) |
0.974262 | + | 0.225419i | \(0.0723750\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 4.36043 | − | 21.9214i | 0.279722 | − | 1.40626i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −14.3143 | − | 9.56448i | −0.914504 | − | 0.611052i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.447314 | − | 1.07991i | 0.0284619 | − | 0.0687132i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.160308 | + | 0.387019i | 0.0101591 | + | 0.0245263i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.33693 | − | 11.7485i | −0.147506 | − | 0.741561i | −0.981751 | − | 0.190169i | \(-0.939097\pi\) |
0.834246 | − | 0.551393i | \(-0.185903\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.19002 | − | 9.26401i | −0.389163 | − | 0.582424i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 57.2300 | 3.58388 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −16.2355 | −1.01274 | −0.506372 | − | 0.862315i | \(-0.669014\pi\) | ||||
−0.506372 | + | 0.862315i | \(0.669014\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.694804 | − | 1.03985i | −0.0431730 | − | 0.0646130i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.90655 | + | 14.6122i | 0.179911 | + | 0.904474i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −2.60171 | − | 6.28109i | −0.160429 | − | 0.387309i | 0.823141 | − | 0.567837i | \(-0.192219\pi\) |
−0.983570 | + | 0.180528i | \(0.942219\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.44019 | − | 13.1338i | 0.334188 | − | 0.806801i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −14.7621 | − | 9.86372i | −0.903426 | − | 0.603650i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 1.90308 | − | 9.56742i | 0.116033 | − | 0.583336i | −0.878397 | − | 0.477932i | \(-0.841387\pi\) |
0.994430 | − | 0.105404i | \(-0.0336135\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.70763 | − | 8.70763i | 0.528951 | − | 0.528951i | −0.391309 | − | 0.920259i | \(-0.627978\pi\) |
0.920259 | + | 0.391309i | \(0.127978\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 7.97870 | + | 7.97870i | 0.482893 | + | 0.482893i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 8.87051 | + | 1.76445i | 0.534912 | + | 0.106401i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.7635 | − | 17.6053i | 0.706799 | − | 1.05780i | −0.288167 | − | 0.957580i | \(-0.593046\pi\) |
0.994965 | − | 0.100219i | \(-0.0319543\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 22.3819 | + | 9.27088i | 1.33997 | + | 0.555033i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −28.4417 | + | 11.7810i | −1.69669 | + | 0.702793i | −0.999895 | − | 0.0144755i | \(-0.995392\pi\) |
−0.696797 | + | 0.717268i | \(0.745392\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 17.7997 | − | 3.54057i | 1.05808 | − | 0.210465i | 0.364765 | − | 0.931100i | \(-0.381149\pi\) |
0.693315 | + | 0.720635i | \(0.256149\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 1.74745 | − | 1.16761i | 0.103510 | − | 0.0691632i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 2.25093i | − | 0.132868i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 41.8069i | 2.45923i | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −9.42099 | + | 6.29490i | −0.552268 | + | 0.369014i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −24.5419 | + | 4.88168i | −1.43375 | + | 0.285191i | −0.850017 | − | 0.526755i | \(-0.823409\pi\) |
−0.583734 | + | 0.811945i | \(0.698409\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −40.9642 | + | 16.9679i | −2.38503 | + | 0.987912i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −2.51836 | − | 1.04314i | −0.146130 | − | 0.0605289i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −10.3857 | + | 15.5434i | −0.600623 | + | 0.898896i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.51263 | + | 0.897618i | 0.260104 | + | 0.0517378i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 6.33540 | + | 6.33540i | 0.363959 | + | 0.363959i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −5.21467 | + | 5.21467i | −0.298591 | + | 0.298591i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.19463 | + | 6.00584i | −0.0681814 | + | 0.342771i | −0.999786 | − | 0.0207031i | \(-0.993410\pi\) |
0.931604 | + | 0.363474i | \(0.118410\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 16.1893 | + | 10.8173i | 0.920974 | + | 0.615375i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −2.62567 | + | 6.33892i | −0.148888 | + | 0.359447i | −0.980674 | − | 0.195649i | \(-0.937319\pi\) |
0.831786 | + | 0.555096i | \(0.187319\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −8.01019 | − | 19.3383i | −0.452763 | − | 1.09307i | −0.971267 | − | 0.237991i | \(-0.923511\pi\) |
0.518504 | − | 0.855075i | \(-0.326489\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.11257 | + | 10.6206i | 0.119030 | + | 0.598402i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 3.17251 | + | 4.74799i | 0.178186 | + | 0.266674i | 0.909802 | − | 0.415043i | \(-0.136234\pi\) |
−0.731616 | + | 0.681717i | \(0.761234\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −10.7318 | −0.600865 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 15.4656 | 0.863206 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1.19978 | + | 1.79560i | 0.0667575 | + | 0.0999097i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.96044 | − | 14.8831i | −0.164216 | − | 0.825568i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −7.97077 | − | 19.2432i | −0.440785 | − | 1.06415i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −1.43849 | + | 3.47283i | −0.0793068 | + | 0.191463i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −24.6126 | − | 16.4456i | −1.35283 | − | 0.903934i | −0.353331 | − | 0.935498i | \(-0.614951\pi\) |
−0.999502 | + | 0.0315644i | \(0.989951\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.781876 | − | 3.93076i | 0.0428466 | − | 0.215404i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 3.61167 | − | 3.61167i | 0.197326 | − | 0.197326i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.159510 | − | 0.159510i | −0.00868905 | − | 0.00868905i | 0.702749 | − | 0.711438i | \(-0.251956\pi\) |
−0.711438 | + | 0.702749i | \(0.751956\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −26.2385 | − | 5.21916i | −1.42508 | − | 0.283466i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −9.69506 | + | 14.5097i | −0.525017 | + | 0.785743i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 12.7244 | + | 5.27063i | 0.687054 | + | 0.284587i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −31.0527 | + | 12.8625i | −1.67182 | + | 0.692492i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 6.01352 | − | 1.19616i | 0.322823 | − | 0.0642135i | −0.0310188 | − | 0.999519i | \(-0.509875\pi\) |
0.353842 | + | 0.935305i | \(0.384875\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 7.16948 | − | 4.79049i | 0.383773 | − | 0.256429i | −0.348686 | − | 0.937239i | \(-0.613372\pi\) |
0.732460 | + | 0.680810i | \(0.238372\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.57349i | 0.244115i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | − | 13.1535i | − | 0.700090i | −0.936733 | − | 0.350045i | \(-0.886166\pi\) | ||
0.936733 | − | 0.350045i | \(-0.113834\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.66183 | + | 1.77858i | −0.141275 | + | 0.0943971i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −20.4461 | + | 4.06699i | −1.08212 | + | 0.215248i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −1.21194 | + | 0.502003i | −0.0639638 | + | 0.0264947i | −0.414436 | − | 0.910078i | \(-0.636021\pi\) |
0.350472 | + | 0.936573i | \(0.386021\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.4804 | − | 7.24064i | −0.920023 | − | 0.381086i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −6.87710 | + | 10.2923i | −0.360954 | + | 0.540206i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 6.46306 | + | 1.28558i | 0.338292 | + | 0.0672904i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −26.7959 | − | 26.7959i | −1.39874 | − | 1.39874i | −0.803699 | − | 0.595036i | \(-0.797138\pi\) |
−0.595036 | − | 0.803699i | \(-0.702862\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 5.10065 | − | 5.10065i | 0.265529 | − | 0.265529i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.01024 | + | 5.07880i | −0.0524488 | + | 0.263678i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 13.9514 | + | 9.32200i | 0.722374 | + | 0.482675i | 0.861601 | − | 0.507586i | \(-0.169462\pi\) |
−0.139227 | + | 0.990260i | \(0.544462\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −3.83862 | + | 9.26725i | −0.198226 | + | 0.478559i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 6.89062 | + | 16.6354i | 0.354885 | + | 0.856768i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.32647 | − | 6.66861i | −0.0681362 | − | 0.342544i | 0.931647 | − | 0.363365i | \(-0.118372\pi\) |
−0.999783 | + | 0.0208208i | \(0.993372\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 6.78914 | + | 10.1607i | 0.347818 | + | 0.520547i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −3.93993 | −0.201321 | −0.100661 | − | 0.994921i | \(-0.532096\pi\) | ||||
−0.100661 | + | 0.994921i | \(0.532096\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −7.80018 | −0.397534 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 8.19169 | + | 12.2597i | 0.416407 | + | 0.623197i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −2.75314 | − | 13.8410i | −0.139590 | − | 0.701765i | −0.985667 | − | 0.168704i | \(-0.946042\pi\) |
0.846077 | − | 0.533061i | \(-0.178958\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −13.2169 | − | 31.9083i | −0.668405 | − | 1.61367i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 14.5932 | − | 35.2312i | 0.736131 | − | 1.77718i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −7.19601 | − | 4.80822i | −0.362071 | − | 0.241928i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −4.41193 | + | 22.1803i | −0.221428 | + | 1.11320i | 0.696837 | + | 0.717230i | \(0.254590\pi\) |
−0.918265 | + | 0.395966i | \(0.870410\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.541323 | + | 0.541323i | −0.0271000 | + | 0.0271000i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −9.96558 | − | 9.96558i | −0.497657 | − | 0.497657i | 0.413051 | − | 0.910708i | \(-0.364463\pi\) |
−0.910708 | + | 0.413051i | \(0.864463\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 28.7165 | + | 5.71207i | 1.43047 | + | 0.284538i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 12.2724 | − | 18.3670i | 0.609821 | − | 0.912662i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.66715 | + | 1.10477i | 0.132206 | + | 0.0547614i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.17482 | + | 1.31505i | −0.156985 | + | 0.0650252i | −0.459792 | − | 0.888027i | \(-0.652076\pi\) |
0.302807 | + | 0.953052i | \(0.402076\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 28.0762 | − | 5.58470i | 1.38490 | − | 0.275473i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 13.4292 | − | 8.97308i | 0.660806 | − | 0.441536i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.485870i | 0.0238504i | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | − | 39.4021i | − | 1.92953i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −13.9731 | + | 9.33655i | −0.682632 | + | 0.456120i | −0.847919 | − | 0.530125i | \(-0.822145\pi\) |
0.165287 | + | 0.986246i | \(0.447145\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.70608 | + | 1.33392i | −0.326834 | + | 0.0650114i | −0.355780 | − | 0.934570i | \(-0.615785\pi\) |
0.0289461 | + | 0.999581i | \(0.490785\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −11.1292 | + | 4.60985i | −0.541119 | + | 0.224139i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 25.9016 | + | 10.7288i | 1.25641 | + | 0.520422i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.49243 | − | 2.23358i | 0.0722236 | − | 0.108090i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −25.5464 | − | 5.08150i | −1.23339 | − | 0.245337i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −14.3623 | − | 14.3623i | −0.691807 | − | 0.691807i | 0.270823 | − | 0.962629i | \(-0.412704\pi\) |
−0.962629 | + | 0.270823i | \(0.912704\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.93497 | − | 3.93497i | 0.189103 | − | 0.189103i | −0.606205 | − | 0.795308i | \(-0.707309\pi\) |
0.795308 | + | 0.606205i | \(0.207309\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −6.31597 | + | 31.7525i | −0.302827 | + | 1.52242i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −1.05456 | − | 0.704631i | −0.0504462 | − | 0.0337071i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 13.4061 | − | 32.3651i | 0.639837 | − | 1.54470i | −0.187060 | − | 0.982348i | \(-0.559896\pi\) |
0.826897 | − | 0.562354i | \(-0.190104\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 7.69048 | + | 18.5665i | 0.366214 | + | 0.884118i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 0.856937 | + | 4.30811i | 0.0407143 | + | 0.204685i | 0.995788 | − | 0.0916829i | \(-0.0292246\pi\) |
−0.955074 | + | 0.296368i | \(0.904225\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −11.4405 | − | 17.1219i | −0.542330 | − | 0.811655i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −26.4072 | −1.24902 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −16.4316 | −0.775457 | −0.387728 | − | 0.921774i | \(-0.626740\pi\) | ||||
−0.387728 | + | 0.921774i | \(0.626740\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.88675 | + | 4.32033i | 0.135932 | + | 0.203436i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 5.90101 | + | 29.6664i | 0.277254 | + | 1.39385i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 5.00830 | + | 12.0911i | 0.234793 | + | 0.566839i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.34119 | − | 17.7232i | 0.343406 | − | 0.829057i | −0.653960 | − | 0.756529i | \(-0.726894\pi\) |
0.997366 | − | 0.0725274i | \(-0.0231065\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −7.02561 | − | 4.69436i | −0.327927 | − | 0.219114i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −2.05091 | + | 10.3106i | −0.0955204 | + | 0.480214i | 0.903181 | + | 0.429261i | \(0.141226\pi\) |
−0.998701 | + | 0.0509529i | \(0.983774\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.34023 | − | 6.34023i | 0.294656 | − | 0.294656i | −0.544261 | − | 0.838916i | \(-0.683190\pi\) |
0.838916 | + | 0.544261i | \(0.183190\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 37.2244 | + | 37.2244i | 1.72624 | + | 1.72624i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −27.9193 | − | 5.55349i | −1.29195 | − | 0.256985i | −0.499176 | − | 0.866501i | \(-0.666364\pi\) |
−0.792774 | + | 0.609516i | \(0.791364\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.03365 | + | 1.54697i | −0.0477296 | + | 0.0714324i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 37.7309 | + | 15.6287i | 1.73855 | + | 0.720130i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −9.81251 | + | 4.06447i | −0.451180 | + | 0.186885i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.00976 | − | 0.200854i | 0.0463311 | − | 0.00921582i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −13.7979 | + | 9.21945i | −0.631762 | + | 0.422130i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 37.5371i | 1.71512i | 0.514388 | + | 0.857558i | \(0.328019\pi\) | ||||
−0.514388 | + | 0.857558i | \(0.671981\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 4.84371i | − | 0.220854i | ||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 10.1799 | − | 6.80199i | 0.463202 | − | 0.309501i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −12.8892 | + | 2.56383i | −0.585270 | + | 0.116417i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 26.4650 | − | 10.9621i | 1.19924 | − | 0.496742i | 0.308488 | − | 0.951228i | \(-0.400177\pi\) |
0.890754 | + | 0.454486i | \(0.150177\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 24.6395 | + | 10.2060i | 1.11424 | + | 0.461533i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 12.5638 | − | 18.8031i | 0.566998 | − | 0.848572i | −0.431570 | − | 0.902080i | \(-0.642040\pi\) |
0.998567 | + | 0.0535074i | \(0.0170401\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −32.6274 | − | 6.48999i | −1.46946 | − | 0.292294i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −17.6754 | − | 17.6754i | −0.794448 | − | 0.794448i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0.824578 | − | 0.824578i | 0.0369874 | − | 0.0369874i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 6.92341 | − | 34.8064i | 0.309935 | − | 1.55815i | −0.440839 | − | 0.897586i | \(-0.645319\pi\) |
0.750773 | − | 0.660560i | \(-0.229681\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −47.8285 | − | 31.9580i | −2.13682 | − | 1.42778i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 8.55008 | − | 20.6417i | 0.381229 | − | 0.920369i | −0.610499 | − | 0.792017i | \(-0.709031\pi\) |
0.991729 | − | 0.128352i | \(-0.0409688\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.97678 | + | 9.60080i | 0.176965 | + | 0.427230i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 2.09257 | + | 10.5201i | 0.0929345 | + | 0.467213i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 22.4174 | + | 33.5500i | 0.993634 | + | 1.48708i | 0.868961 | + | 0.494880i | \(0.164788\pi\) |
0.124673 | + | 0.992198i | \(0.460212\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.40036 | −0.106186 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −0.310293 | −0.0136998 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 12.5465 | + | 18.7772i | 0.552865 | + | 0.827421i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.69283 | − | 8.51043i | −0.0744506 | − | 0.374288i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 14.7279 | + | 35.5564i | 0.646485 | + | 1.56075i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −6.91799 | + | 16.7015i | −0.303082 | + | 0.731706i | 0.696813 | + | 0.717253i | \(0.254601\pi\) |
−0.999896 | + | 0.0144530i | \(0.995399\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 21.0603 | + | 14.0720i | 0.920902 | + | 0.615327i | 0.923054 | − | 0.384671i | \(-0.125685\pi\) |
−0.00215221 | + | 0.999998i | \(0.500685\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −1.93890 | + | 9.74750i | −0.0846205 | + | 0.425416i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −38.2501 | + | 38.2501i | −1.66620 | + | 1.66620i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1.92066 | − | 1.92066i | −0.0835068 | − | 0.0835068i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 50.7639 | + | 10.0976i | 2.20297 | + | 0.438198i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 4.84346 | − | 7.24875i | 0.209794 | − | 0.313978i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 16.5724 | + | 6.86451i | 0.716487 | + | 0.296779i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −2.53564 | + | 1.05030i | −0.109421 | + | 0.0453236i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −14.1977 | + | 2.82410i | −0.611538 | + | 0.121643i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.10594 | + | 2.74350i | −0.176528 | + | 0.117952i | −0.640695 | − | 0.767795i | \(-0.721354\pi\) |
0.464167 | + | 0.885748i | \(0.346354\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | − | 54.6088i | − | 2.34349i | ||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | − | 24.1582i | − | 1.03482i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −29.7650 | + | 19.8884i | −1.27266 | + | 0.850364i | −0.993931 | − | 0.110005i | \(-0.964913\pi\) |
−0.278729 | + | 0.960370i | \(0.589913\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 8.44320 | − | 1.67946i | 0.360347 | − | 0.0716775i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.12865 | + | 0.467501i | −0.0480820 | + | 0.0199162i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.91255 | + | 1.20642i | 0.123854 | + | 0.0513021i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 4.83841 | − | 7.24120i | 0.205379 | − | 0.307372i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 22.0208 | + | 4.38021i | 0.933052 | + | 0.185596i | 0.638132 | − | 0.769927i | \(-0.279707\pi\) |
0.294919 | + | 0.955522i | \(0.404707\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 12.6007 | + | 12.6007i | 0.532954 | + | 0.532954i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 34.0276 | − | 34.0276i | 1.43664 | − | 1.43664i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 3.20606 | − | 16.1180i | 0.135119 | − | 0.679291i | −0.852538 | − | 0.522665i | \(-0.824938\pi\) |
0.987658 | − | 0.156627i | \(-0.0500620\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −25.7997 | − | 17.2388i | −1.08540 | − | 0.725242i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −3.07924 | + | 7.43394i | −0.129316 | + | 0.312196i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −0.0562600 | − | 0.135824i | −0.00235854 | − | 0.00569402i | 0.922696 | − | 0.385529i | \(-0.125981\pi\) |
−0.925054 | + | 0.379835i | \(0.875981\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.84345 | + | 14.2950i | 0.118995 | + | 0.598227i | 0.993559 | + | 0.113317i | \(0.0361477\pi\) |
−0.874564 | + | 0.484910i | \(0.838852\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 20.5846 | + | 30.8070i | 0.859933 | + | 1.28698i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −16.4653 | −0.686652 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 33.7673 | 1.40575 | 0.702876 | − | 0.711313i | \(-0.251899\pi\) | ||||
0.702876 | + | 0.711313i | \(0.251899\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.84455 | − | 2.76056i | −0.0766568 | − | 0.114725i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.0345278 | − | 0.173583i | −0.00143245 | − | 0.00720143i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.57442 | − | 11.0436i | −0.189453 | − | 0.457380i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −16.0498 | + | 38.7476i | −0.663577 | + | 1.60202i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 3.34109 | + | 2.23245i | 0.137902 | + | 0.0921429i | 0.622607 | − | 0.782534i | \(-0.286073\pi\) |
−0.484706 | + | 0.874677i | \(0.661073\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.387541 | + | 1.94830i | −0.0159683 | + | 0.0802783i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 31.3354 | − | 31.3354i | 1.28897 | − | 1.28897i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 0.0990454 | + | 0.0990454i | 0.00406731 | + | 0.00406731i | 0.709138 | − | 0.705070i | \(-0.249085\pi\) |
−0.705070 | + | 0.709138i | \(0.749085\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −23.7145 | − | 4.71711i | −0.972200 | − | 0.193383i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 31.9476 | − | 47.8130i | 1.30753 | − | 1.95686i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −20.6548 | − | 8.55549i | −0.843931 | − | 0.349568i | −0.0815289 | − | 0.996671i | \(-0.525980\pi\) |
−0.762402 | + | 0.647103i | \(0.775980\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 35.0312 | − | 14.5104i | 1.42895 | − | 0.591892i | 0.471861 | − | 0.881673i | \(-0.343582\pi\) |
0.957093 | + | 0.289781i | \(0.0935824\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −5.84774 | + | 1.16319i | −0.238139 | + | 0.0473687i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −11.9376 | + | 7.97643i | −0.485331 | + | 0.324288i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 40.7010i | 1.65200i | 0.563668 | + | 0.826001i | \(0.309390\pi\) | ||||
−0.563668 | + | 0.826001i | \(0.690610\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | − | 11.7928i | − | 0.477868i | ||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −12.1051 | + | 8.08840i | −0.489722 | + | 0.327222i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 34.3868 | − | 6.83995i | 1.38887 | − | 0.276263i | 0.556666 | − | 0.830736i | \(-0.312080\pi\) |
0.832202 | + | 0.554473i | \(0.187080\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 14.4816 | − | 5.99849i | 0.583956 | − | 0.241882i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −22.8284 | − | 9.45584i | −0.919038 | − | 0.380678i | −0.127528 | − | 0.991835i | \(-0.540704\pi\) |
−0.791509 | + | 0.611157i | \(0.790704\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2.49212 | − | 3.72973i | 0.100167 | − | 0.149910i | −0.778001 | − | 0.628263i | \(-0.783766\pi\) |
0.878168 | + | 0.478353i | \(0.158766\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 4.86712 | + | 0.968130i | 0.195311 | + | 0.0388497i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 5.30399 | + | 5.30399i | 0.212500 | + | 0.212500i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −21.1523 | + | 21.1523i | −0.846092 | + | 0.846092i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.344759 | − | 1.73322i | 0.0137684 | − | 0.0692182i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 7.44071 | + | 4.97172i | 0.296681 | + | 0.198236i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.15628 | + | 10.0341i | −0.165459 | + | 0.399453i | −0.984762 | − | 0.173908i | \(-0.944361\pi\) |
0.819303 | + | 0.573361i | \(0.194361\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −15.6571 | − | 37.7997i | −0.622315 | − | 1.50240i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 2.76512 | + | 13.9012i | 0.109731 | + | 0.551653i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 13.4936 | + | 20.1947i | 0.534637 | + | 0.800141i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 3.73702 | 0.147834 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 13.5366 | 0.534665 | 0.267332 | − | 0.963604i | \(-0.413858\pi\) | ||||
0.267332 | + | 0.963604i | \(0.413858\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 6.82731 | + | 10.2178i | 0.269243 | + | 0.402950i | 0.941312 | − | 0.337538i | \(-0.109594\pi\) |
−0.672069 | + | 0.740488i | \(0.734594\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 6.25075 | + | 31.4246i | 0.246123 | + | 1.23734i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 8.80323 | + | 21.2529i | 0.346091 | + | 0.835537i | 0.997074 | + | 0.0764449i | \(0.0243569\pi\) |
−0.650983 | + | 0.759092i | \(0.725643\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −14.2676 | + | 34.4450i | −0.560053 | + | 1.35209i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −15.9442 | − | 10.6536i | −0.624902 | − | 0.417546i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 3.10918 | − | 15.6309i | 0.121672 | − | 0.611685i | −0.871044 | − | 0.491205i | \(-0.836557\pi\) |
0.992716 | − | 0.120480i | \(-0.0384434\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 31.2752 | − | 31.2752i | 1.22202 | − | 1.22202i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −5.43927 | − | 5.43927i | −0.212206 | − | 0.212206i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 44.4902 | + | 8.84966i | 1.73309 | + | 0.344734i | 0.957924 | − | 0.287021i | \(-0.0926648\pi\) |
0.775169 | + | 0.631754i | \(0.217665\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −26.4902 | + | 39.6454i | −1.03035 | + | 1.54203i | −0.203919 | + | 0.978988i | \(0.565368\pi\) |
−0.826430 | + | 0.563039i | \(0.809632\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −74.5946 | − | 30.8981i | −2.89701 | − | 1.19998i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.820333 | + | 0.339793i | −0.0318111 | + | 0.0131766i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 19.1621 | − | 3.81157i | 0.741959 | − | 0.147585i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 40.8589 | − | 27.3011i | 1.57970 | − | 1.05552i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 6.20102i | 0.239388i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.0714i | 0.503866i | 0.967745 | + | 0.251933i | \(0.0810662\pi\) | ||||
−0.967745 | + | 0.251933i | \(0.918934\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −3.34939 | + | 2.23799i | −0.128918 | + | 0.0861404i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −9.06468 | + | 1.80308i | −0.348384 | + | 0.0692979i | −0.366181 | − | 0.930544i | \(-0.619335\pi\) |
0.0177968 | + | 0.999842i | \(0.494335\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.42264 | − | 1.83192i | 0.169725 | − | 0.0703025i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −40.7353 | − | 16.8731i | −1.56098 | − | 0.646579i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 2.05308 | − | 3.07264i | 0.0785587 | − | 0.117571i | −0.790110 | − | 0.612966i | \(-0.789976\pi\) |
0.868668 | + | 0.495394i | \(0.164976\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 32.5643 | + | 6.47743i | 1.24422 | + | 0.247490i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −29.5472 | − | 29.5472i | −1.12730 | − | 1.12730i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −14.1817 | + | 14.1817i | −0.540278 | + | 0.540278i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.79296 | − | 19.0685i | 0.144291 | − | 0.725400i | −0.839111 | − | 0.543960i | \(-0.816924\pi\) |
0.983402 | − | 0.181440i | \(-0.0580758\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 7.57081 | + | 5.05866i | 0.287591 | + | 0.192162i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 17.4889 | − | 42.2219i | 0.663391 | − | 1.60157i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 6.16377 | + | 14.8806i | 0.233469 | + | 0.563645i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −11.0020 | − | 55.3107i | −0.416133 | − | 2.09204i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −4.33534 | − | 6.48830i | −0.163744 | − | 0.245060i | 0.740520 | − | 0.672034i | \(-0.234579\pi\) |
−0.904264 | + | 0.426975i | \(0.859579\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.328626 | 0.0123944 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −26.1763 | −0.985858 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −2.10302 | − | 3.14740i | −0.0790923 | − | 0.118370i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.46179 | − | 12.3763i | −0.0924546 | − | 0.464801i | −0.999081 | − | 0.0428660i | \(-0.986351\pi\) |
0.906626 | − | 0.421935i | \(-0.138649\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 3.86613 | + | 9.33367i | 0.144991 | + | 0.350040i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 12.1576 | − | 29.3510i | 0.455305 | − | 1.09920i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −25.1192 | − | 16.7841i | −0.939405 | − | 0.627690i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 10.1143 | − | 50.8478i | 0.377724 | − | 1.89895i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −26.2578 | + | 26.2578i | −0.979252 | + | 0.979252i | −0.999789 | − | 0.0205367i | \(-0.993463\pi\) |
0.0205367 | + | 0.999789i | \(0.493463\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.81676 | − | 5.81676i | −0.216628 | − | 0.216628i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −40.9017 | − | 8.13586i | −1.52115 | − | 0.302576i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −8.81109 | + | 13.1867i | −0.327236 | + | 0.489743i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 30.7700 | + | 12.7453i | 1.14120 | + | 0.472698i | 0.871572 | − | 0.490267i | \(-0.163101\pi\) |
0.269623 | + | 0.962966i | \(0.413101\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −31.5697 | + | 13.0766i | −1.16925 | + | 0.484319i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −32.2905 | + | 6.42297i | −1.19431 | + | 0.237562i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.875789 | + | 0.585183i | −0.0323480 | + | 0.0216142i | −0.571639 | − | 0.820505i | \(-0.693692\pi\) |
0.539291 | + | 0.842119i | \(0.318692\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 43.6692i | 1.61076i | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | − | 4.29481i | − | 0.158202i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −18.8272 | + | 12.5799i | −0.692571 | + | 0.462761i | −0.851381 | − | 0.524548i | \(-0.824234\pi\) |
0.158810 | + | 0.987309i | \(0.449234\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −2.90804 | + | 0.578445i | −0.106829 | + | 0.0212497i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −14.5583 | + | 6.03025i | −0.534093 | + | 0.221228i | −0.633395 | − | 0.773829i | \(-0.718339\pi\) |
0.0993020 | + | 0.995057i | \(0.468339\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −28.2971 | − | 11.7210i | −1.03672 | − | 0.429425i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0.315101 | − | 0.471583i | 0.0115290 | − | 0.0172543i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −6.40851 | − | 1.27473i | −0.234162 | − | 0.0465777i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 18.4512 | + | 18.4512i | 0.673295 | + | 0.673295i | 0.958474 | − | 0.285179i | \(-0.0920531\pi\) |
−0.285179 | + | 0.958474i | \(0.592053\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −21.4856 | + | 21.4856i | −0.782980 | + | 0.782980i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −6.84431 | + | 34.4087i | −0.249090 | + | 1.25226i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −6.59159 | − | 4.40436i | −0.239575 | − | 0.160079i | 0.429987 | − | 0.902835i | \(-0.358518\pi\) |
−0.669562 | + | 0.742756i | \(0.733518\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −10.8155 | + | 26.1109i | −0.392577 | + | 0.947765i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 2.59638 | + | 6.26821i | 0.0941186 | + | 0.227222i | 0.963927 | − | 0.266168i | \(-0.0857575\pi\) |
−0.869808 | + | 0.493390i | \(0.835758\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.71677 | + | 8.63080i | 0.0621513 | + | 0.312456i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −43.0485 | − | 64.4266i | −1.55642 | − | 2.32935i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 62.5543 | 2.25871 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.0168 | −0.361215 | −0.180607 | − | 0.983555i | \(-0.557806\pi\) | ||||
−0.180607 | + | 0.983555i | \(0.557806\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 22.8801 | + | 34.2425i | 0.824007 | + | 1.23321i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 1.04420 | + | 5.24953i | 0.0375571 | + | 0.188812i | 0.995010 | − | 0.0997782i | \(-0.0318133\pi\) |
−0.957453 | + | 0.288591i | \(0.906813\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 9.86891 | + | 23.8257i | 0.354502 | + | 0.855843i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.21399 | + | 2.93084i | −0.0435518 | + | 0.105143i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.491799 | + | 0.328609i | 0.0176205 | + | 0.0117737i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.525160 | + | 2.64016i | −0.0187917 | + | 0.0944722i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 3.37989 | − | 3.37989i | 0.120787 | − | 0.120787i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 33.4942 | + | 33.4942i | 1.19546 | + | 1.19546i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −37.8335 | − | 7.52555i | −1.34862 | − | 0.268257i | −0.532641 | − | 0.846341i | \(-0.678801\pi\) |
−0.815977 | + | 0.578084i | \(0.803801\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −9.58103 | + | 14.3390i | −0.341094 | + | 0.510483i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 10.4423 | + | 4.32534i | 0.371285 | + | 0.153791i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 9.61224 | − | 3.98152i | 0.341341 | − | 0.141388i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −35.3673 | + | 7.03499i | −1.25435 | + | 0.249505i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −38.4226 | + | 25.6731i | −1.36100 | + | 0.909389i | −0.999734 | − | 0.0230746i | \(-0.992654\pi\) |
−0.361263 | + | 0.932464i | \(0.617654\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 26.8976i | − | 0.951568i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 24.0379i | 0.849338i | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 4.60715 | − | 3.07840i | 0.162583 | − | 0.108634i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 13.9275 | − | 2.77036i | 0.490881 | − | 0.0976424i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −22.8607 | + | 9.46921i | −0.804735 | + | 0.333332i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 33.9191 | + | 14.0497i | 1.19253 | + | 0.493963i | 0.888578 | − | 0.458725i | \(-0.151694\pi\) |
0.303953 | + | 0.952687i | \(0.401694\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 18.2057 | − | 27.2468i | 0.639289 | − | 0.956763i | −0.360424 | − | 0.932789i | \(-0.617368\pi\) |
0.999713 | − | 0.0239744i | \(-0.00763201\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −30.6367 | − | 6.09402i | −1.07448 | − | 0.213727i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 21.8729 | + | 21.8729i | 0.766173 | + | 0.766173i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.854909 | + | 0.854909i | −0.0299095 | + | 0.0299095i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 2.98042 | − | 14.9836i | 0.104144 | − | 0.523569i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −15.3771 | − | 10.2747i | −0.536666 | − | 0.358588i | 0.257511 | − | 0.966275i | \(-0.417098\pi\) |
−0.794177 | + | 0.607687i | \(0.792098\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −15.9945 | + | 38.6142i | −0.557534 | + | 1.34601i | 0.354178 | + | 0.935178i | \(0.384761\pi\) |
−0.911712 | + | 0.410829i | \(0.865239\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −8.77946 | − | 21.1955i | −0.305662 | − | 0.737932i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −6.85463 | − | 34.4606i | −0.238359 | − | 1.19831i | −0.895680 | − | 0.444700i | \(-0.853310\pi\) |
0.657321 | − | 0.753611i | \(-0.271690\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −7.70913 | − | 11.5375i | −0.267749 | − | 0.400715i | 0.673094 | − | 0.739557i | \(-0.264965\pi\) |
−0.940843 | + | 0.338842i | \(0.889965\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −53.7094 | −1.86316 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −44.8724 | −1.55474 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −37.0666 | − | 55.4740i | −1.28274 | − | 1.91976i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −1.51632 | − | 7.62308i | −0.0524118 | − | 0.263492i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −14.7929 | − | 35.7132i | −0.510708 | − | 1.23296i | −0.943473 | − | 0.331451i | \(-0.892462\pi\) |
0.432765 | − | 0.901507i | \(-0.357538\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.89623 | + | 9.40634i | −0.134353 | + | 0.324357i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 64.9293 | + | 43.3844i | 2.23628 | + | 1.49424i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −2.42708 | + | 12.2018i | −0.0834941 | + | 0.419753i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.69801 | − | 3.69801i | 0.127065 | − | 0.127065i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −32.5519 | − | 32.5519i | −1.11718 | − | 1.11718i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −5.15469 | − | 1.02533i | −0.176700 | − | 0.0351479i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 7.85966 | − | 11.7628i | 0.269110 | − | 0.402751i | −0.672161 | − | 0.740405i | \(-0.734634\pi\) |
0.941270 | + | 0.337654i | \(0.109634\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −2.62887 | − | 1.08891i | −0.0899054 | − | 0.0372400i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 10.8078 | − | 4.47675i | 0.369189 | − | 0.152923i | −0.190373 | − | 0.981712i | \(-0.560970\pi\) |
0.559561 | + | 0.828789i | \(0.310970\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 17.8324 | − | 3.54708i | 0.608433 | − | 0.121025i | 0.118748 | − | 0.992924i | \(-0.462112\pi\) |
0.489685 | + | 0.871900i | \(0.337112\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −4.74746 | + | 3.17215i | −0.161793 | + | 0.108107i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | − | 51.3481i | − | 1.74791i | −0.486006 | − | 0.873955i | \(-0.661547\pi\) | ||
0.486006 | − | 0.873955i | \(-0.338453\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 44.6381i | 1.51774i | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 88.1754 | − | 58.9169i | 2.99459 | − | 2.00092i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −7.13742 | + | 1.41972i | −0.242120 | + | 0.0481607i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −6.65742 | + | 2.75759i | −0.225578 | + | 0.0934375i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 14.1730 | + | 5.87063i | 0.479682 | + | 0.198691i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 2.35446 | − | 3.52369i | 0.0795952 | − | 0.119123i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 48.5667 | + | 9.66052i | 1.63998 | + | 0.326213i | 0.927026 | − | 0.374997i | \(-0.122356\pi\) |
0.712956 | + | 0.701209i | \(0.247356\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 44.8820 | + | 44.8820i | 1.51383 | + | 1.51383i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 16.3418 | − | 16.3418i | 0.550568 | − | 0.550568i | −0.376037 | − | 0.926605i | \(-0.622713\pi\) |
0.926605 | + | 0.376037i | \(0.122713\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −0.654361 | + | 3.28970i | −0.0220210 | + | 0.110707i | −0.990233 | − | 0.139426i | \(-0.955474\pi\) |
0.968212 | + | 0.250133i | \(0.0804743\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 93.5167 | + | 62.4859i | 3.14353 | + | 2.10044i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −16.8387 | + | 40.6522i | −0.565389 | + | 1.36497i | 0.340016 | + | 0.940420i | \(0.389567\pi\) |
−0.905405 | + | 0.424549i | \(0.860433\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.97575 | − | 4.76988i | −0.0662644 | − | 0.159977i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −3.62367 | − | 18.2174i | −0.121397 | − | 0.610306i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −0.548765 | − | 0.821285i | −0.0183637 | − | 0.0274833i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.18328 | −0.106405 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 47.4190 | 1.58327 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −17.0007 | − | 25.4433i | −0.567004 | − | 0.848582i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −7.22882 | − | 36.3417i | −0.240827 | − | 1.21072i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −4.46631 | − | 10.7826i | −0.148629 | − | 0.358823i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 24.2385 | − | 58.5169i | 0.805714 | − | 1.94517i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −20.7405 | − | 13.8584i | −0.688677 | − | 0.460159i | 0.161351 | − | 0.986897i | \(-0.448415\pi\) |
−0.850028 | + | 0.526738i | \(0.823415\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 2.36657 | − | 11.8976i | 0.0784942 | − | 0.394617i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −6.62665 | + | 6.62665i | −0.219551 | + | 0.219551i | −0.808309 | − | 0.588758i | \(-0.799617\pi\) |
0.588758 | + | 0.808309i | \(0.299617\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.288886 | + | 0.288886i | 0.00956073 | + | 0.00956073i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 18.3472 | + | 3.64948i | 0.606538 | + | 0.120648i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −8.95090 | + | 13.3960i | −0.295585 | + | 0.442374i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 15.1621 | + | 6.28033i | 0.500150 | + | 0.207169i | 0.618473 | − | 0.785806i | \(-0.287752\pi\) |
−0.118323 | + | 0.992975i | \(0.537752\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 14.3505 | − | 5.94419i | 0.472866 | − | 0.195868i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 4.42971 | − | 0.881125i | 0.145806 | − | 0.0290026i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.54729 | − | 2.37022i | 0.116634 | − | 0.0779325i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | − | 26.3618i | − | 0.865836i | ||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | − | 34.4393i | − | 1.12992i | −0.825119 | − | 0.564959i | \(-0.808892\pi\) | ||
0.825119 | − | 0.564959i | \(-0.191108\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.37013 | + | 0.915489i | −0.0449041 | + | 0.0300039i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 17.0698 | − | 3.39539i | 0.558839 | − | 0.111160i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 51.5661 | − | 21.3594i | 1.68639 | − | 0.698526i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 5.30997 | + | 2.19946i | 0.173469 | + | 0.0718533i | 0.467728 | − | 0.883872i | \(-0.345073\pi\) |
−0.294259 | + | 0.955726i | \(0.595073\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −29.4982 | + | 44.1472i | −0.962638 | + | 1.44069i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 0.669760 | + | 0.133223i | 0.0218335 | + | 0.00434296i | 0.205995 | − | 0.978553i | \(-0.433957\pi\) |
−0.184161 | + | 0.982896i | \(0.558957\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −6.68886 | − | 6.68886i | −0.217819 | − | 0.217819i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 2.45660 | − | 2.45660i | 0.0799132 | − | 0.0799132i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −6.91180 | + | 34.7479i | −0.224603 | + | 1.12916i | 0.689690 | + | 0.724104i | \(0.257747\pi\) |
−0.914294 | + | 0.405052i | \(0.867253\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −7.72998 | − | 5.16500i | −0.250926 | − | 0.167663i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 5.54315 | − | 13.3824i | 0.179749 | − | 0.433952i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 6.17778 | + | 14.9145i | 0.200118 | + | 0.483127i | 0.991799 | − | 0.127807i | \(-0.0407939\pi\) |
−0.791681 | + | 0.610934i | \(0.790794\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 8.38382 | + | 42.1483i | 0.271294 | + | 1.36389i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 15.1239 | + | 22.6346i | 0.488888 | + | 0.731672i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −12.0943 | −0.390545 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −18.7584 | −0.605109 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −11.6332 | − | 17.4104i | −0.374876 | − | 0.561042i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −0.751259 | − | 3.77684i | −0.0241839 | − | 0.121581i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −17.5127 | − | 42.2794i | −0.563171 | − | 1.35962i | −0.907217 | − | 0.420662i | \(-0.861798\pi\) |
0.344046 | − | 0.938953i | \(-0.388202\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 2.09631 | − | 5.06094i | 0.0673432 | − | 0.162581i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 22.7030 | + | 15.1696i | 0.728573 | + | 0.486817i | 0.863697 | − | 0.504012i | \(-0.168143\pi\) |
−0.135124 | + | 0.990829i | \(0.543143\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.24766 | + | 16.3271i | −0.104115 | + | 0.523423i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −27.2182 | + | 27.2182i | −0.871680 | + | 0.871680i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −22.0950 | − | 22.0950i | −0.706883 | − | 0.706883i | 0.258996 | − | 0.965878i | \(-0.416608\pi\) |
−0.965878 | + | 0.258996i | \(0.916608\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −16.9825 | − | 3.37802i | −0.542762 | − | 0.107962i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −15.6673 | + | 23.4478i | −0.500219 | + | 0.748631i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −28.4453 | − | 11.7824i | −0.907263 | − | 0.375801i | −0.120255 | − | 0.992743i | \(-0.538371\pi\) |
−0.787008 | + | 0.616942i | \(0.788371\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 47.4863 | − | 19.6695i | 1.51304 | − | 0.626722i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 9.35181 | − | 1.86019i | 0.297672 | − | 0.0592105i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 16.0771 | − | 10.7424i | 0.511221 | − | 0.341587i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 40.2872i | 1.27976i | 0.768473 | + | 0.639882i | \(0.221017\pi\) | ||||
−0.768473 | + | 0.639882i | \(0.778983\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 75.0871i | 2.38282i | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 55.4561 | − | 37.0546i | 1.75808 | − | 1.17471i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −14.0382 | + | 2.79238i | −0.444595 | + | 0.0884355i | −0.412311 | − | 0.911043i | \(-0.635278\pi\) |
−0.0322844 | + | 0.999479i | \(0.510278\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1.18793 | + | 0.492059i | −0.0375846 | + | 0.0155680i |
(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 | 256.2.i.a.17.1 | 56 | ||
4.3 | odd | 2 | 64.2.i.a.45.5 | yes | 56 | ||
8.3 | odd | 2 | 512.2.i.b.289.1 | 56 | |||
8.5 | even | 2 | 512.2.i.a.289.7 | 56 | |||
12.11 | even | 2 | 576.2.bd.a.109.3 | 56 | |||
64.5 | even | 16 | 512.2.i.a.225.7 | 56 | |||
64.27 | odd | 16 | 64.2.i.a.37.5 | ✓ | 56 | ||
64.37 | even | 16 | inner | 256.2.i.a.241.1 | 56 | ||
64.59 | odd | 16 | 512.2.i.b.225.1 | 56 | |||
192.155 | even | 16 | 576.2.bd.a.37.3 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
64.2.i.a.37.5 | ✓ | 56 | 64.27 | odd | 16 | ||
64.2.i.a.45.5 | yes | 56 | 4.3 | odd | 2 | ||
256.2.i.a.17.1 | 56 | 1.1 | even | 1 | trivial | ||
256.2.i.a.241.1 | 56 | 64.37 | even | 16 | inner | ||
512.2.i.a.225.7 | 56 | 64.5 | even | 16 | |||
512.2.i.a.289.7 | 56 | 8.5 | even | 2 | |||
512.2.i.b.225.1 | 56 | 64.59 | odd | 16 | |||
512.2.i.b.289.1 | 56 | 8.3 | odd | 2 | |||
576.2.bd.a.37.3 | 56 | 192.155 | even | 16 | |||
576.2.bd.a.109.3 | 56 | 12.11 | even | 2 |