Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [603,2,Mod(8,603)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(603, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("603.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 603 = 3^{2} \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 603.v (of order \(22\), degree \(10\), 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: | \(4.81497924188\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 8.12 | ||
Character | \(\chi\) | \(=\) | 603.8 |
Dual form | 603.2.v.a.377.12 |
$q$-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 \(\left(\mathbb{Z}/603\mathbb{Z}\right)^\times\).
\(n\) | \(136\) | \(470\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0114821 | + | 0.0798595i | −0.00811905 | + | 0.0564692i | −0.993478 | − | 0.114022i | \(-0.963626\pi\) |
0.985359 | + | 0.170492i | \(0.0545356\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.91274 | + | 0.561631i | 0.956370 | + | 0.280816i | ||||
\(5\) | −2.63879 | − | 1.69585i | −1.18010 | − | 0.758406i | −0.204698 | − | 0.978825i | \(-0.565621\pi\) |
−0.975405 | + | 0.220419i | \(0.929257\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.31288 | − | 0.332541i | −0.874185 | − | 0.125689i | −0.309405 | − | 0.950930i | \(-0.600130\pi\) |
−0.564780 | + | 0.825242i | \(0.691039\pi\) | |||||||
\(8\) | −0.133846 | + | 0.293081i | −0.0473216 | + | 0.103620i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.165728 | − | 0.191261i | 0.0524079 | − | 0.0604820i | ||||
\(11\) | 0.145936 | + | 0.0937877i | 0.0440015 | + | 0.0282780i | 0.562457 | − | 0.826827i | \(-0.309856\pi\) |
−0.518455 | + | 0.855105i | \(0.673493\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.36545 | − | 1.99363i | 1.21076 | − | 0.552934i | 0.295321 | − | 0.955398i | \(-0.404573\pi\) |
0.915436 | + | 0.402464i | \(0.131846\pi\) | |||||||
\(14\) | 0.0531132 | − | 0.180887i | 0.0141951 | − | 0.0483441i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.33219 | + | 2.14147i | 0.833048 | + | 0.535368i | ||||
\(17\) | −1.35657 | − | 4.62006i | −0.329017 | − | 1.12053i | −0.943437 | − | 0.331551i | \(-0.892428\pi\) |
0.614420 | − | 0.788979i | \(-0.289390\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.934472 | − | 6.49940i | −0.214383 | − | 1.49106i | −0.758289 | − | 0.651918i | \(-0.773965\pi\) |
0.543907 | − | 0.839146i | \(-0.316945\pi\) | |||||||
\(20\) | −4.09488 | − | 4.72574i | −0.915643 | − | 1.05671i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.00916549 | + | 0.0105775i | −0.00195409 | + | 0.00225514i | ||||
\(23\) | 3.78200 | − | 3.27712i | 0.788602 | − | 0.683327i | −0.164366 | − | 0.986399i | \(-0.552558\pi\) |
0.952968 | + | 0.303072i | \(0.0980123\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.01024 | + | 4.40181i | 0.402048 | + | 0.880363i | ||||
\(26\) | 0.109086 | + | 0.371514i | 0.0213936 | + | 0.0728598i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.23716 | − | 1.93505i | −0.800749 | − | 0.365690i | ||||
\(29\) | − | 4.84004i | − | 0.898774i | −0.893337 | − | 0.449387i | \(-0.851642\pi\) | ||
0.893337 | − | 0.449387i | \(-0.148358\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.61790 | − | 3.47898i | −1.36822 | − | 0.624843i | −0.410315 | − | 0.911944i | \(-0.634581\pi\) |
−0.957900 | + | 0.287101i | \(0.907308\pi\) | |||||||
\(32\) | −0.631267 | + | 0.728521i | −0.111593 | + | 0.128785i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.384532 | − | 0.0552874i | 0.0659468 | − | 0.00948171i | ||||
\(35\) | 5.53925 | + | 4.79979i | 0.936305 | + | 0.811313i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.81545 | 0.298458 | 0.149229 | − | 0.988803i | \(-0.452321\pi\) | ||||
0.149229 | + | 0.988803i | \(0.452321\pi\) | |||||||
\(38\) | 0.529769 | 0.0859398 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.850213 | − | 0.546398i | 0.134430 | − | 0.0863932i | ||||
\(41\) | −2.92289 | + | 0.858239i | −0.456479 | + | 0.134034i | −0.501885 | − | 0.864934i | \(-0.667360\pi\) |
0.0454061 | + | 0.998969i | \(0.485542\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.19587 | + | 7.47845i | 0.334867 | + | 1.14045i | 0.939100 | + | 0.343645i | \(0.111662\pi\) |
−0.604232 | + | 0.796808i | \(0.706520\pi\) | |||||||
\(44\) | 0.226464 | + | 0.261354i | 0.0341408 | + | 0.0394006i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.218284 | + | 0.339657i | 0.0321843 | + | 0.0500797i | ||||
\(47\) | −4.57158 | + | 3.96130i | −0.666834 | + | 0.577815i | −0.921103 | − | 0.389319i | \(-0.872710\pi\) |
0.254270 | + | 0.967133i | \(0.418165\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.47764 | − | 0.433875i | −0.211092 | − | 0.0619821i | ||||
\(50\) | −0.374608 | + | 0.109995i | −0.0529776 | + | 0.0155556i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 9.46965 | − | 1.36153i | 1.31320 | − | 0.188810i | ||||
\(53\) | 9.22372 | + | 2.70833i | 1.26698 | + | 0.372018i | 0.845087 | − | 0.534630i | \(-0.179549\pi\) |
0.421889 | + | 0.906647i | \(0.361367\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.226046 | − | 0.494972i | −0.0304801 | − | 0.0667420i | ||||
\(56\) | 0.407030 | − | 0.633352i | 0.0543917 | − | 0.0846352i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.386524 | + | 0.0555737i | 0.0507531 | + | 0.00729719i | ||||
\(59\) | −3.20199 | − | 1.46230i | −0.416863 | − | 0.190375i | 0.195931 | − | 0.980618i | \(-0.437227\pi\) |
−0.612794 | + | 0.790243i | \(0.709954\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.52885 | + | 3.93496i | 0.323786 | + | 0.503821i | 0.964544 | − | 0.263922i | \(-0.0850162\pi\) |
−0.640758 | + | 0.767743i | \(0.721380\pi\) | |||||||
\(62\) | 0.365299 | − | 0.568416i | 0.0463930 | − | 0.0721889i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.13686 | + | 5.92825i | 0.642107 | + | 0.741031i | ||||
\(65\) | −14.9004 | − | 2.14235i | −1.84817 | − | 0.265726i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.91564 | − | 7.64847i | −0.356202 | − | 0.934409i | ||||
\(68\) | − | 9.59888i | − | 1.16403i | ||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.446911 | + | 0.387251i | −0.0534161 | + | 0.0462853i | ||||
\(71\) | −4.15000 | + | 14.1336i | −0.492514 | + | 1.67735i | 0.219846 | + | 0.975535i | \(0.429445\pi\) |
−0.712360 | + | 0.701815i | \(0.752374\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.48574 | − | 2.88281i | 0.525016 | − | 0.337407i | −0.251137 | − | 0.967951i | \(-0.580805\pi\) |
0.776153 | + | 0.630544i | \(0.217168\pi\) | |||||||
\(74\) | −0.0208451 | + | 0.144981i | −0.00242320 | + | 0.0168537i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.86286 | − | 12.9565i | 0.213685 | − | 1.48621i | ||||
\(77\) | −0.306345 | − | 0.265449i | −0.0349112 | − | 0.0302507i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.74835 | − | 1.25513i | 0.309214 | − | 0.141213i | −0.254764 | − | 0.967003i | \(-0.581998\pi\) |
0.563978 | + | 0.825790i | \(0.309270\pi\) | |||||||
\(80\) | −5.16135 | − | 11.3018i | −0.577057 | − | 1.26358i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.0349777 | − | 0.243275i | −0.00386264 | − | 0.0268653i | ||||
\(83\) | 8.16036 | − | 12.6978i | 0.895715 | − | 1.39376i | −0.0233805 | − | 0.999727i | \(-0.507443\pi\) |
0.919096 | − | 0.394034i | \(-0.128921\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.25521 | + | 14.4919i | −0.461543 | + | 1.57187i | ||||
\(86\) | −0.622439 | + | 0.0894932i | −0.0671193 | + | 0.00965030i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.0470204 | + | 0.0302182i | −0.00501239 | + | 0.00322127i | ||||
\(89\) | 10.9830 | + | 9.51686i | 1.16420 | + | 1.00879i | 0.999749 | + | 0.0223997i | \(0.00713065\pi\) |
0.164451 | + | 0.986385i | \(0.447415\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −10.7597 | + | 3.15933i | −1.12792 | + | 0.331188i | ||||
\(92\) | 9.07452 | − | 4.14419i | 0.946084 | − | 0.432062i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.263856 | − | 0.410568i | −0.0272147 | − | 0.0423469i | ||||
\(95\) | −8.55611 | + | 18.7353i | −0.877838 | + | 1.92220i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 3.03018i | − | 0.307668i | −0.988097 | − | 0.153834i | \(-0.950838\pi\) | ||
0.988097 | − | 0.153834i | \(-0.0491620\pi\) | |||||||
\(98\) | 0.0516154 | − | 0.113022i | 0.00521394 | − | 0.0114169i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.37287 | + | 9.54854i | 0.137287 | + | 0.954854i | ||||
\(101\) | 2.05615 | + | 14.3009i | 0.204595 | + | 1.42299i | 0.790427 | + | 0.612556i | \(0.209859\pi\) |
−0.585833 | + | 0.810432i | \(0.699232\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.28792 | − | 7.19954i | 0.323968 | − | 0.709391i | −0.675644 | − | 0.737228i | \(-0.736134\pi\) |
0.999612 | + | 0.0278364i | \(0.00886175\pi\) | |||||||
\(104\) | 1.54627i | 0.151624i | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.322193 | + | 0.705505i | −0.0312942 | + | 0.0685247i | ||||
\(107\) | −0.878148 | − | 1.36643i | −0.0848938 | − | 0.132097i | 0.796210 | − | 0.605021i | \(-0.206835\pi\) |
−0.881104 | + | 0.472923i | \(0.843199\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.56436 | + | 3.91121i | −0.820317 | + | 0.374626i | −0.780946 | − | 0.624599i | \(-0.785263\pi\) |
−0.0393707 | + | 0.999225i | \(0.512535\pi\) | |||||||
\(110\) | 0.0421237 | − | 0.0123686i | 0.00401634 | − | 0.00117930i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −6.99482 | − | 6.06105i | −0.660949 | − | 0.572715i | ||||
\(113\) | 6.94048 | − | 4.46037i | 0.652905 | − | 0.419597i | −0.171822 | − | 0.985128i | \(-0.554965\pi\) |
0.824727 | + | 0.565531i | \(0.191329\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −15.5374 | + | 2.23394i | −1.44887 | + | 0.208316i | ||||
\(116\) | 2.71832 | − | 9.25775i | 0.252390 | − | 0.859560i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.153544 | − | 0.238919i | 0.0141349 | − | 0.0219943i | ||||
\(119\) | 1.60122 | + | 11.1367i | 0.146784 | + | 1.02090i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.55706 | − | 9.97858i | −0.414279 | − | 0.907143i | ||||
\(122\) | −0.343281 | + | 0.156771i | −0.0310792 | + | 0.0141934i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −12.6172 | − | 10.9328i | −1.13305 | − | 0.981797i | ||||
\(125\) | −0.0718202 | + | 0.499520i | −0.00642379 | + | 0.0446784i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.493468 | + | 3.43215i | −0.0437882 | + | 0.304554i | 0.956144 | + | 0.292897i | \(0.0946195\pi\) |
−0.999932 | + | 0.0116562i | \(0.996290\pi\) | |||||||
\(128\) | −2.15430 | + | 1.38448i | −0.190415 | + | 0.122372i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.342175 | − | 1.16534i | 0.0300107 | − | 0.102207i | ||||
\(131\) | 1.67140 | − | 1.44828i | 0.146031 | − | 0.126537i | −0.578782 | − | 0.815483i | \(-0.696472\pi\) |
0.724813 | + | 0.688946i | \(0.241926\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 15.3430i | 1.33041i | ||||||||
\(134\) | 0.644281 | − | 0.145021i | 0.0556574 | − | 0.0125279i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.53563 | + | 0.220790i | 0.131679 | + | 0.0189326i | ||||
\(137\) | 9.39562 | + | 10.8431i | 0.802722 | + | 0.926390i | 0.998527 | − | 0.0542526i | \(-0.0172776\pi\) |
−0.195806 | + | 0.980643i | \(0.562732\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.60808 | + | 8.72635i | −0.475672 | + | 0.740159i | −0.993315 | − | 0.115437i | \(-0.963173\pi\) |
0.517643 | + | 0.855597i | \(0.326809\pi\) | |||||||
\(140\) | 7.89944 | + | 12.2918i | 0.667625 | + | 1.03884i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.08105 | − | 0.493700i | −0.0907199 | − | 0.0414304i | ||||
\(143\) | 0.824056 | + | 0.118481i | 0.0689110 | + | 0.00990791i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −8.20798 | + | 12.7719i | −0.681635 | + | 1.06065i | ||||
\(146\) | 0.178714 | + | 0.391330i | 0.0147905 | + | 0.0323867i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.47248 | + | 1.01961i | 0.285436 | + | 0.0838117i | ||||
\(149\) | 10.0828 | − | 1.44969i | 0.826018 | − | 0.118763i | 0.283675 | − | 0.958921i | \(-0.408446\pi\) |
0.542343 | + | 0.840157i | \(0.317537\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.78114 | + | 1.40387i | −0.389084 | + | 0.114245i | −0.470423 | − | 0.882441i | \(-0.655899\pi\) |
0.0813390 | + | 0.996686i | \(0.474080\pi\) | |||||||
\(152\) | 2.02993 | + | 0.596041i | 0.164649 | + | 0.0483453i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.0247161 | − | 0.0214166i | 0.00199168 | − | 0.00172580i | ||||
\(155\) | 14.2022 | + | 22.0991i | 1.14075 | + | 1.77504i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 11.8661 | + | 13.6942i | 0.947019 | + | 1.09292i | 0.995563 | + | 0.0940966i | \(0.0299963\pi\) |
−0.0485446 | + | 0.998821i | \(0.515458\pi\) | |||||||
\(158\) | 0.0686774 | + | 0.233894i | 0.00546368 | + | 0.0186076i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.90124 | − | 0.851881i | 0.229363 | − | 0.0673471i | ||||
\(161\) | −9.83707 | + | 6.32190i | −0.775270 | + | 0.498236i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.70002 | 0.681438 | 0.340719 | − | 0.940165i | \(-0.389329\pi\) | ||||
0.340719 | + | 0.940165i | \(0.389329\pi\) | |||||||
\(164\) | −6.07275 | −0.474202 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.920340 | + | 0.797479i | 0.0714322 | + | 0.0618964i | ||||
\(167\) | 10.5333 | − | 1.51446i | 0.815093 | − | 0.117193i | 0.277855 | − | 0.960623i | \(-0.410377\pi\) |
0.537238 | + | 0.843430i | \(0.319468\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.56936 | − | 7.58145i | 0.505335 | − | 0.583188i | ||||
\(170\) | −1.10846 | − | 0.506217i | −0.0850150 | − | 0.0388250i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 15.5376i | 1.18473i | ||||||||
\(173\) | −18.0122 | − | 8.22589i | −1.36944 | − | 0.625402i | −0.411247 | − | 0.911524i | \(-0.634907\pi\) |
−0.958193 | + | 0.286121i | \(0.907634\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.18565 | − | 10.8493i | −0.240813 | − | 0.820133i | ||||
\(176\) | 0.285445 | + | 0.625037i | 0.0215162 | + | 0.0471140i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.886120 | + | 0.767827i | −0.0664175 | + | 0.0575511i | ||||
\(179\) | −9.09745 | + | 10.4990i | −0.679976 | + | 0.784734i | −0.985902 | − | 0.167321i | \(-0.946488\pi\) |
0.305927 | + | 0.952055i | \(0.401034\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.98385 | − | 10.3679i | −0.667764 | − | 0.770641i | 0.316261 | − | 0.948672i | \(-0.397573\pi\) |
−0.984025 | + | 0.178031i | \(0.943027\pi\) | |||||||
\(182\) | −0.128759 | − | 0.895540i | −0.00954427 | − | 0.0663819i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.454259 | + | 1.54706i | 0.0334884 | + | 0.114051i | ||||
\(185\) | −4.79059 | − | 3.07873i | −0.352211 | − | 0.226352i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.235332 | − | 0.801466i | 0.0172091 | − | 0.0586090i | ||||
\(188\) | −10.9690 | + | 5.00939i | −0.799999 | + | 0.365347i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.39795 | − | 0.898407i | −0.101418 | − | 0.0651773i | ||||
\(191\) | 9.77622 | − | 11.2824i | 0.707382 | − | 0.816363i | −0.282348 | − | 0.959312i | \(-0.591113\pi\) |
0.989730 | + | 0.142949i | \(0.0456586\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.07720 | − | 17.6866i | 0.581410 | − | 1.27311i | −0.359086 | − | 0.933304i | \(-0.616912\pi\) |
0.940496 | − | 0.339805i | \(-0.110361\pi\) | |||||||
\(194\) | 0.241988 | + | 0.0347927i | 0.0173738 | + | 0.00249797i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.58267 | − | 1.65978i | −0.184476 | − | 0.118556i | ||||
\(197\) | −19.6077 | − | 5.75735i | −1.39699 | − | 0.410194i | −0.505342 | − | 0.862919i | \(-0.668634\pi\) |
−0.891650 | + | 0.452725i | \(0.850452\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.196771 | + | 1.36857i | −0.0139487 | + | 0.0970156i | −0.995606 | − | 0.0936360i | \(-0.970151\pi\) |
0.981658 | + | 0.190652i | \(0.0610601\pi\) | |||||||
\(200\) | −1.55915 | −0.110249 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.16567 | −0.0820161 | ||||||||
\(203\) | −1.60951 | + | 11.1944i | −0.112966 | + | 0.785694i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 9.16834 | + | 2.69207i | 0.640345 | + | 0.188022i | ||||
\(206\) | 0.537200 | + | 0.345237i | 0.0374285 | + | 0.0240538i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 18.8158 | + | 2.70531i | 1.30464 | + | 0.187579i | ||||
\(209\) | 0.473190 | − | 1.03614i | 0.0327312 | − | 0.0716714i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.38407 | − | 3.90542i | 0.232969 | − | 0.268860i | −0.627213 | − | 0.778848i | \(-0.715805\pi\) |
0.860182 | + | 0.509987i | \(0.170350\pi\) | |||||||
\(212\) | 16.1215 | + | 10.3607i | 1.10723 | + | 0.711573i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.119205 | − | 0.0544391i | 0.00814869 | − | 0.00372138i | ||||
\(215\) | 6.88787 | − | 23.4579i | 0.469749 | − | 1.59982i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 16.4624 | + | 10.5797i | 1.11754 | + | 0.718198i | ||||
\(218\) | −0.214011 | − | 0.728854i | −0.0144947 | − | 0.0493643i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.154376 | − | 1.07371i | −0.0104080 | − | 0.0723893i | ||||
\(221\) | −15.1328 | − | 17.4641i | −1.01794 | − | 1.17476i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −16.5128 | + | 19.0568i | −1.10578 | + | 1.27614i | −0.147888 | + | 0.989004i | \(0.547248\pi\) |
−0.957891 | + | 0.287133i | \(0.907298\pi\) | |||||||
\(224\) | 1.70230 | − | 1.47506i | 0.113740 | − | 0.0985563i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.276512 | + | 0.605478i | 0.0183933 | + | 0.0402758i | ||||
\(227\) | 0.00167041 | + | 0.00568888i | 0.000110869 | + | 0.000377584i | 0.959548 | − | 0.281544i | \(-0.0908465\pi\) |
−0.959438 | + | 0.281921i | \(0.909028\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −25.3033 | − | 11.5556i | −1.67209 | − | 0.763617i | −0.999726 | − | 0.0233941i | \(-0.992553\pi\) |
−0.672362 | − | 0.740223i | \(-0.734720\pi\) | |||||||
\(230\) | − | 1.26646i | − | 0.0835079i | ||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.41853 | + | 0.647820i | 0.0931309 | + | 0.0425315i | ||||
\(233\) | 13.3434 | − | 15.3991i | 0.874153 | − | 1.00883i | −0.125706 | − | 0.992068i | \(-0.540120\pi\) |
0.999860 | − | 0.0167593i | \(-0.00533490\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 18.7812 | − | 2.70033i | 1.22515 | − | 0.176150i | ||||
\(236\) | −5.30329 | − | 4.59533i | −0.345215 | − | 0.299131i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.907761 | −0.0588414 | ||||||||
\(239\) | −13.9497 | −0.902334 | −0.451167 | − | 0.892440i | \(-0.648992\pi\) | ||||
−0.451167 | + | 0.892440i | \(0.648992\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 12.8810 | − | 8.27813i | 0.829739 | − | 0.533241i | −0.0554559 | − | 0.998461i | \(-0.517661\pi\) |
0.885195 | + | 0.465220i | \(0.154025\pi\) | |||||||
\(242\) | 0.849209 | − | 0.249350i | 0.0545892 | − | 0.0160288i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.62703 | + | 8.94684i | 0.168178 | + | 0.572763i | ||||
\(245\) | 3.16340 | + | 3.65076i | 0.202102 | + | 0.233238i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −17.0368 | − | 26.5098i | −1.08403 | − | 1.68678i | ||||
\(248\) | 2.03925 | − | 1.76702i | 0.129492 | − | 0.112206i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.0390668 | − | 0.0114711i | −0.00247080 | − | 0.000725493i | ||||
\(251\) | 6.23192 | − | 1.82986i | 0.393355 | − | 0.115499i | −0.0790727 | − | 0.996869i | \(-0.525196\pi\) |
0.472428 | + | 0.881369i | \(0.343378\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.859286 | − | 0.123547i | 0.0540228 | − | 0.00776731i | ||||
\(254\) | −0.268424 | − | 0.0788163i | −0.0168424 | − | 0.00494537i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 6.43137 | + | 14.0827i | 0.401960 | + | 0.880171i | ||||
\(257\) | 14.6405 | − | 22.7811i | 0.913252 | − | 1.42105i | 0.00622314 | − | 0.999981i | \(-0.498019\pi\) |
0.907029 | − | 0.421068i | \(-0.138345\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.19891 | − | 0.603712i | −0.260908 | − | 0.0375128i | ||||
\(260\) | −27.2974 | − | 12.4663i | −1.69291 | − | 0.773127i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.0964678 | + | 0.150107i | 0.00595980 | + | 0.00927363i | ||||
\(263\) | −0.982401 | + | 1.52865i | −0.0605774 | + | 0.0942603i | −0.870221 | − | 0.492662i | \(-0.836024\pi\) |
0.809644 | + | 0.586922i | \(0.199660\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −19.7466 | − | 22.7887i | −1.21302 | − | 1.39990i | ||||
\(266\) | −1.22529 | − | 0.176170i | −0.0751273 | − | 0.0108017i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.28124 | − | 16.2670i | −0.0782639 | − | 0.993668i | ||||
\(269\) | 19.2613i | 1.17438i | 0.809448 | + | 0.587192i | \(0.199767\pi\) | ||||
−0.809448 | + | 0.587192i | \(0.800233\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.95077 | − | 6.88938i | 0.482975 | − | 0.418500i | −0.379042 | − | 0.925379i | \(-0.623747\pi\) |
0.862017 | + | 0.506879i | \(0.169201\pi\) | |||||||
\(272\) | 5.37337 | − | 18.3000i | 0.325808 | − | 1.10960i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.973808 | + | 0.625828i | −0.0588299 | + | 0.0378077i | ||||
\(275\) | −0.119468 | + | 0.830921i | −0.00720421 | + | 0.0501064i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.527789 | − | 3.67085i | 0.0317118 | − | 0.220560i | −0.967803 | − | 0.251709i | \(-0.919007\pi\) |
0.999515 | + | 0.0311487i | \(0.00991655\pi\) | |||||||
\(278\) | −0.632490 | − | 0.548056i | −0.0379342 | − | 0.0328702i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.14814 | + | 0.981021i | −0.128376 | + | 0.0586272i | ||||
\(281\) | 6.20941 | + | 13.5967i | 0.370422 | + | 0.811112i | 0.999432 | + | 0.0337139i | \(0.0107335\pi\) |
−0.629009 | + | 0.777398i | \(0.716539\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.12900 | + | 14.8075i | 0.126556 | + | 0.880216i | 0.949873 | + | 0.312635i | \(0.101212\pi\) |
−0.823317 | + | 0.567581i | \(0.807879\pi\) | |||||||
\(284\) | −15.8757 | + | 24.7031i | −0.942052 | + | 1.46586i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.0189237 | + | 0.0644483i | −0.00111898 | + | 0.00381091i | ||||
\(287\) | 7.04569 | − | 1.01302i | 0.415894 | − | 0.0597965i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.20339 | + | 3.34401i | −0.306082 | + | 0.196707i | ||||
\(290\) | −0.925711 | − | 0.802133i | −0.0543596 | − | 0.0471029i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 10.1991 | − | 2.99473i | 0.596859 | − | 0.175254i | ||||
\(293\) | 10.0521 | − | 4.59065i | 0.587251 | − | 0.268188i | −0.0995519 | − | 0.995032i | \(-0.531741\pi\) |
0.686803 | + | 0.726844i | \(0.259014\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.96953 | + | 9.28878i | 0.347560 | + | 0.540813i | ||||
\(296\) | −0.242990 | + | 0.532075i | −0.0141235 | + | 0.0309262i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.821856i | 0.0476088i | ||||||||
\(299\) | 9.97674 | − | 21.8460i | 0.576970 | − | 1.26339i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.59188 | − | 18.0269i | −0.149394 | − | 1.03906i | ||||
\(302\) | −0.0572150 | − | 0.397939i | −0.00329235 | − | 0.0228988i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 10.8044 | − | 23.6584i | 0.619676 | − | 1.35690i | ||||
\(305\) | − | 14.6721i | − | 0.840121i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −11.2936 | + | 24.7294i | −0.644558 | + | 1.41138i | 0.251680 | + | 0.967810i | \(0.419017\pi\) |
−0.896238 | + | 0.443574i | \(0.853710\pi\) | |||||||
\(308\) | −0.436873 | − | 0.679788i | −0.0248932 | − | 0.0387345i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.92789 | + | 0.880440i | −0.109497 | + | 0.0500056i | ||||
\(311\) | −23.9774 | + | 7.04040i | −1.35963 | + | 0.399224i | −0.878634 | − | 0.477496i | \(-0.841544\pi\) |
−0.481000 | + | 0.876721i | \(0.659726\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.09314 | + | 3.54672i | 0.231358 | + | 0.200473i | 0.762823 | − | 0.646608i | \(-0.223813\pi\) |
−0.531465 | + | 0.847080i | \(0.678358\pi\) | |||||||
\(314\) | −1.22986 | + | 0.790384i | −0.0694051 | + | 0.0446039i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 5.96181 | − | 0.857179i | 0.335378 | − | 0.0482201i | ||||
\(317\) | 2.57330 | − | 8.76387i | 0.144531 | − | 0.492228i | −0.855126 | − | 0.518421i | \(-0.826520\pi\) |
0.999657 | + | 0.0261928i | \(0.00833838\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.453937 | − | 0.706339i | 0.0254156 | − | 0.0395474i | ||||
\(320\) | −3.50168 | − | 24.3547i | −0.195750 | − | 1.36147i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.391914 | − | 0.858173i | −0.0218405 | − | 0.0478241i | ||||
\(323\) | −28.7599 | + | 13.1342i | −1.60025 | + | 0.730808i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 17.5512 | + | 15.2082i | 0.973565 | + | 0.843599i | ||||
\(326\) | −0.0998942 | + | 0.694780i | −0.00553263 | + | 0.0384803i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.139683 | − | 0.971517i | 0.00771271 | − | 0.0536431i | ||||
\(329\) | 11.8908 | − | 7.64175i | 0.655561 | − | 0.421303i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.225058 | + | 0.766478i | −0.0123703 | + | 0.0421294i | −0.965447 | − | 0.260600i | \(-0.916080\pi\) |
0.953077 | + | 0.302729i | \(0.0978978\pi\) | |||||||
\(332\) | 22.7401 | − | 19.7044i | 1.24803 | − | 1.08142i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.858576i | 0.0469792i | ||||||||
\(335\) | −5.27688 | + | 25.1272i | −0.288307 | + | 1.37284i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 13.6803 | + | 1.96693i | 0.745212 | + | 0.107145i | 0.504452 | − | 0.863440i | \(-0.331694\pi\) |
0.240759 | + | 0.970585i | \(0.422604\pi\) | |||||||
\(338\) | 0.530021 | + | 0.611677i | 0.0288293 | + | 0.0332708i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −16.2782 | + | 25.3294i | −0.882811 | + | 1.37368i | ||||
\(341\) | −0.785444 | − | 1.22217i | −0.0425342 | − | 0.0661845i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.1518 | + | 8.28966i | 0.980106 | + | 0.447599i | ||||
\(344\) | −2.48570 | − | 0.357390i | −0.134020 | − | 0.0192692i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.863733 | − | 1.34399i | 0.0464345 | − | 0.0722536i | ||||
\(347\) | 0.768267 | + | 1.68227i | 0.0412428 | + | 0.0903090i | 0.929132 | − | 0.369748i | \(-0.120556\pi\) |
−0.887889 | + | 0.460057i | \(0.847829\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 30.8517 | + | 9.05888i | 1.65146 | + | 0.484911i | 0.969215 | − | 0.246217i | \(-0.0791876\pi\) |
0.682240 | + | 0.731128i | \(0.261006\pi\) | |||||||
\(350\) | 0.903001 | − | 0.129832i | 0.0482674 | − | 0.00693981i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.160451 | + | 0.0471127i | −0.00855207 | + | 0.00251112i | ||||
\(353\) | 3.63176 | + | 1.06638i | 0.193299 | + | 0.0567577i | 0.376949 | − | 0.926234i | \(-0.376973\pi\) |
−0.183650 | + | 0.982992i | \(0.558791\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 34.9194 | − | 30.2578i | 1.85333 | − | 1.60592i | ||||
\(356\) | 15.6627 | + | 24.3717i | 0.830123 | + | 1.29170i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.733989 | − | 0.847069i | −0.0387925 | − | 0.0447690i | ||||
\(359\) | −6.46422 | − | 22.0151i | −0.341168 | − | 1.16191i | −0.934205 | − | 0.356737i | \(-0.883889\pi\) |
0.593036 | − | 0.805176i | \(-0.297929\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −23.1386 | + | 6.79409i | −1.21782 | + | 0.357584i | ||||
\(362\) | 0.931130 | − | 0.598401i | 0.0489391 | − | 0.0314513i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −22.3549 | −1.17171 | ||||||||
\(365\) | −16.7257 | −0.875464 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9.77249 | + | 8.46791i | 0.510120 | + | 0.442021i | 0.871499 | − | 0.490398i | \(-0.163148\pi\) |
−0.361379 | + | 0.932419i | \(0.617694\pi\) | |||||||
\(368\) | 19.6202 | − | 2.82096i | 1.02277 | − | 0.147053i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.300872 | − | 0.347224i | 0.0156416 | − | 0.0180513i | ||||
\(371\) | −20.4327 | − | 9.33130i | −1.06081 | − | 0.484457i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 26.9749i | − | 1.39671i | −0.715752 | − | 0.698354i | \(-0.753916\pi\) | ||
0.715752 | − | 0.698354i | \(-0.246084\pi\) | |||||||
\(374\) | 0.0613026 | + | 0.0279960i | 0.00316988 | + | 0.00144764i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.549096 | − | 1.87005i | −0.0283175 | − | 0.0964404i | ||||
\(377\) | −9.64927 | − | 21.1290i | −0.496963 | − | 1.08820i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 20.5839 | − | 17.8361i | 1.05733 | − | 0.916178i | 0.0606916 | − | 0.998157i | \(-0.480669\pi\) |
0.996634 | + | 0.0819787i | \(0.0261239\pi\) | |||||||
\(380\) | −26.8879 | + | 31.0303i | −1.37932 | + | 1.59182i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.788753 | + | 0.910269i | 0.0403561 | + | 0.0465734i | ||||
\(383\) | 0.741776 | + | 5.15917i | 0.0379030 | + | 0.263621i | 0.999957 | − | 0.00923683i | \(-0.00294022\pi\) |
−0.962054 | + | 0.272858i | \(0.912031\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.358218 | + | 1.21998i | 0.0182565 | + | 0.0621759i | ||||
\(386\) | 1.31970 | + | 0.848120i | 0.0671710 | + | 0.0431682i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.70184 | − | 5.79594i | 0.0863979 | − | 0.294244i | ||||
\(389\) | 19.2604 | − | 8.79592i | 0.976540 | − | 0.445971i | 0.137774 | − | 0.990464i | \(-0.456005\pi\) |
0.838766 | + | 0.544493i | \(0.183278\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −20.2711 | − | 13.0274i | −1.02515 | − | 0.658825i | ||||
\(392\) | 0.324937 | − | 0.374997i | 0.0164118 | − | 0.0189402i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.684916 | − | 1.49976i | 0.0345056 | − | 0.0755567i | ||||
\(395\) | −9.38084 | − | 1.34876i | −0.472001 | − | 0.0678636i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 26.9409 | + | 17.3138i | 1.35212 | + | 0.868957i | 0.997808 | − | 0.0661689i | \(-0.0210776\pi\) |
0.354315 | + | 0.935126i | \(0.384714\pi\) | |||||||
\(398\) | −0.107034 | − | 0.0314281i | −0.00536515 | − | 0.00157535i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.72784 | + | 18.9726i | −0.136392 | + | 0.948628i | ||||
\(401\) | −11.5166 | −0.575109 | −0.287555 | − | 0.957764i | \(-0.592842\pi\) | ||||
−0.287555 | + | 0.957764i | \(0.592842\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −40.1913 | −2.00207 | ||||||||
\(404\) | −4.09892 | + | 28.5086i | −0.203929 | + | 1.41836i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.875501 | − | 0.257070i | −0.0434504 | − | 0.0127582i | ||||
\(407\) | 0.264940 | + | 0.170267i | 0.0131326 | + | 0.00843981i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 30.5527 | + | 4.39282i | 1.51073 | + | 0.217211i | 0.847337 | − | 0.531056i | \(-0.178205\pi\) |
0.663398 | + | 0.748267i | \(0.269114\pi\) | |||||||
\(410\) | −0.320259 | + | 0.701269i | −0.0158165 | + | 0.0346332i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 10.3324 | − | 11.9242i | 0.509042 | − | 0.587465i | ||||
\(413\) | 6.91952 | + | 4.44690i | 0.340487 | + | 0.218818i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −43.0669 | + | 19.6680i | −2.11407 | + | 0.965465i | ||||
\(416\) | −1.30336 | + | 4.43883i | −0.0639024 | + | 0.217632i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.0773126 | + | 0.0496858i | 0.00378148 | + | 0.00243021i | ||||
\(419\) | −5.04318 | − | 17.1755i | −0.246375 | − | 0.839077i | −0.986098 | − | 0.166165i | \(-0.946861\pi\) |
0.739723 | − | 0.672912i | \(-0.234957\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.55428 | + | 31.6757i | 0.221962 | + | 1.54378i | 0.730603 | + | 0.682802i | \(0.239239\pi\) |
−0.508641 | + | 0.860979i | \(0.669852\pi\) | |||||||
\(422\) | 0.273029 | + | 0.315092i | 0.0132908 | + | 0.0153384i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.02832 | + | 2.34080i | −0.0985038 | + | 0.113680i | ||||
\(425\) | 17.6096 | − | 15.2588i | 0.854192 | − | 0.740161i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.54037 | − | 9.94203i | −0.219724 | − | 0.481128i | ||||
\(428\) | −0.912242 | − | 3.10681i | −0.0440949 | − | 0.150173i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.79425 | + | 0.819408i | 0.0865265 | + | 0.0395153i | ||||
\(431\) | 32.9596i | 1.58761i | 0.608174 | + | 0.793804i | \(0.291902\pi\) | ||||
−0.608174 | + | 0.793804i | \(0.708098\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.61461 | − | 1.19405i | −0.125650 | − | 0.0573825i | 0.351598 | − | 0.936151i | \(-0.385638\pi\) |
−0.477248 | + | 0.878769i | \(0.658366\pi\) | |||||||
\(434\) | −1.03391 | + | 1.19320i | −0.0496294 | + | 0.0572754i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −18.5780 | + | 2.67112i | −0.889727 | + | 0.127923i | ||||
\(437\) | −24.8335 | − | 21.5183i | −1.18795 | − | 1.02936i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 14.2430 | 0.679781 | 0.339890 | − | 0.940465i | \(-0.389610\pi\) | ||||
0.339890 | + | 0.940465i | \(0.389610\pi\) | |||||||
\(440\) | 0.175322 | 0.00835817 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.56843 | − | 1.00797i | 0.0746027 | − | 0.0479443i | ||||
\(443\) | 0.926972 | − | 0.272183i | 0.0440418 | − | 0.0129318i | −0.259637 | − | 0.965706i | \(-0.583603\pi\) |
0.303679 | + | 0.952774i | \(0.401785\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −12.8428 | − | 43.7386i | −0.608807 | − | 2.07341i | ||||
\(446\) | −1.33227 | − | 1.53752i | −0.0630846 | − | 0.0728035i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −9.90952 | − | 15.4195i | −0.468181 | − | 0.728504i | ||||
\(449\) | 23.5753 | − | 20.4281i | 1.11259 | − | 0.964063i | 0.113024 | − | 0.993592i | \(-0.463946\pi\) |
0.999564 | + | 0.0295290i | \(0.00940073\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.507049 | − | 0.148883i | −0.0238760 | − | 0.00701063i | ||||
\(452\) | 15.7804 | − | 4.63355i | 0.742248 | − | 0.217944i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.000473491 | 0 | 6.80778e-5i | −2.22221e−5 | 0 | 3.19505e-6i | ||||
\(455\) | 33.7503 | + | 9.90999i | 1.58224 | + | 0.464588i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.83305 | + | 6.20352i | 0.132525 | + | 0.290189i | 0.964248 | − | 0.265002i | \(-0.0853726\pi\) |
−0.831723 | + | 0.555191i | \(0.812645\pi\) | |||||||
\(458\) | 1.21336 | − | 1.88803i | 0.0566966 | − | 0.0882217i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −30.9737 | − | 4.45334i | −1.44415 | − | 0.207638i | ||||
\(461\) | 8.61951 | + | 3.93640i | 0.401450 | + | 0.183336i | 0.605900 | − | 0.795541i | \(-0.292813\pi\) |
−0.204450 | + | 0.978877i | \(0.565540\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.247537 | + | 0.385175i | 0.0115040 | + | 0.0179006i | 0.846958 | − | 0.531660i | \(-0.178432\pi\) |
−0.835454 | + | 0.549561i | \(0.814795\pi\) | |||||||
\(464\) | 10.3648 | − | 16.1280i | 0.481174 | − | 0.748722i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.07655 | + | 1.24241i | 0.0498704 | + | 0.0575535i | ||||
\(467\) | −2.11155 | − | 0.303595i | −0.0977109 | − | 0.0140487i | 0.0932859 | − | 0.995639i | \(-0.470263\pi\) |
−0.190997 | + | 0.981591i | \(0.561172\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 4.20007 | + | 18.6595i | 0.193941 | + | 0.861617i | ||||
\(470\) | 1.53086i | 0.0706135i | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.857145 | − | 0.742720i | 0.0394533 | − | 0.0341865i | ||||
\(473\) | −0.380929 | + | 1.29732i | −0.0175151 | + | 0.0596510i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 26.7306 | − | 17.1787i | 1.22648 | − | 0.788214i | ||||
\(476\) | −3.19202 | + | 22.2010i | −0.146306 | + | 1.01758i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.160172 | − | 1.11402i | 0.00732609 | − | 0.0509541i | ||||
\(479\) | −31.0214 | − | 26.8802i | −1.41740 | − | 1.22819i | −0.936147 | − | 0.351609i | \(-0.885635\pi\) |
−0.481258 | − | 0.876579i | \(-0.659820\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 7.92525 | − | 3.61934i | 0.361360 | − | 0.165028i | ||||
\(482\) | 0.513187 | + | 1.12372i | 0.0233750 | + | 0.0511841i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −3.11220 | − | 21.6458i | −0.141464 | − | 0.983901i | ||||
\(485\) | −5.13872 | + | 7.99600i | −0.233337 | + | 0.363080i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.22099 | + | 27.9981i | −0.372529 | + | 1.26872i | 0.533608 | + | 0.845732i | \(0.320836\pi\) |
−0.906137 | + | 0.422984i | \(0.860983\pi\) | |||||||
\(488\) | −1.49174 | + | 0.214480i | −0.0675279 | + | 0.00970905i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.327870 | + | 0.210709i | −0.0148117 | + | 0.00951888i | ||||
\(491\) | 10.2420 | + | 8.87474i | 0.462215 | + | 0.400511i | 0.854598 | − | 0.519291i | \(-0.173804\pi\) |
−0.392383 | + | 0.919802i | \(0.628349\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −22.3613 | + | 6.56587i | −1.00710 | + | 0.295712i | ||||
\(494\) | 2.31268 | − | 1.05616i | 0.104052 | − | 0.0475191i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −17.9342 | − | 27.9061i | −0.805269 | − | 1.25302i | ||||
\(497\) | 14.2984 | − | 31.3092i | 0.641372 | − | 1.40441i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 34.6018i | 1.54899i | 0.632580 | + | 0.774495i | \(0.281996\pi\) | ||||
−0.632580 | + | 0.774495i | \(0.718004\pi\) | |||||||
\(500\) | −0.417919 | + | 0.915116i | −0.0186899 | + | 0.0409252i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.0745762 | + | 0.518689i | 0.00332850 | + | 0.0231502i | ||||
\(503\) | 4.57575 | + | 31.8250i | 0.204023 | + | 1.41901i | 0.792193 | + | 0.610271i | \(0.208939\pi\) |
−0.588170 | + | 0.808737i | \(0.700152\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 18.8263 | − | 41.2239i | 0.837760 | − | 1.83444i | ||||
\(506\) | 0.0700407i | 0.00311369i | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −2.87148 | + | 6.28766i | −0.127401 | + | 0.278970i | ||||
\(509\) | −15.5214 | − | 24.1518i | −0.687976 | − | 1.07051i | −0.992994 | − | 0.118165i | \(-0.962299\pi\) |
0.305018 | − | 0.952347i | \(-0.401338\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −11.3336 | + | 5.17588i | −0.501369 | + | 0.228968i | ||||
\(512\) | −6.11266 | + | 1.79484i | −0.270144 | + | 0.0793214i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.65119 | + | 1.43076i | 0.0728308 | + | 0.0631082i | ||||
\(515\) | −20.8854 | + | 13.4223i | −0.920322 | + | 0.591455i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.03868 | + | 0.149340i | −0.0456811 | + | 0.00656796i | ||||
\(518\) | 0.0964243 | − | 0.328391i | 0.00423664 | − | 0.0144287i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.62224 | − | 4.08028i | 0.114993 | − | 0.178932i | ||||
\(521\) | −1.68006 | − | 11.6851i | −0.0736049 | − | 0.511933i | −0.992955 | − | 0.118493i | \(-0.962194\pi\) |
0.919350 | − | 0.393440i | \(-0.128715\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.879510 | + | 1.92586i | 0.0384583 | + | 0.0842119i | 0.927886 | − | 0.372864i | \(-0.121624\pi\) |
−0.889428 | + | 0.457076i | \(0.848897\pi\) | |||||||
\(524\) | 4.01036 | − | 1.83147i | 0.175193 | − | 0.0800081i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.110797 | − | 0.0960061i | −0.00483098 | − | 0.00418606i | ||||
\(527\) | −5.73886 | + | 39.9147i | −0.249989 | + | 1.73871i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 0.290757 | − | 2.02226i | 0.0126416 | − | 0.0879244i | ||||
\(530\) | 2.04663 | − | 1.31529i | 0.0888999 | − | 0.0571325i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −8.61713 | + | 29.3473i | −0.373600 | + | 1.27237i | ||||
\(533\) | −11.0487 | + | 9.57377i | −0.478573 | + | 0.414686i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.09492i | 0.220272i | ||||||||
\(536\) | 2.63187 | + | 0.169197i | 0.113679 | + | 0.00730818i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −1.53820 | − | 0.221160i | −0.0663165 | − | 0.00953488i | ||||
\(539\) | −0.174950 | − | 0.201903i | −0.00753561 | − | 0.00869656i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.21952 | − | 14.3459i | 0.396378 | − | 0.616777i | −0.584501 | − | 0.811393i | \(-0.698710\pi\) |
0.980879 | + | 0.194616i | \(0.0623461\pi\) | |||||||
\(542\) | 0.458891 | + | 0.714049i | 0.0197111 | + | 0.0306710i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 4.22217 | + | 1.92820i | 0.181024 | + | 0.0826709i | ||||
\(545\) | 29.2324 | + | 4.20298i | 1.25218 | + | 0.180036i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.00531 | + | 6.23239i | −0.171255 | + | 0.266478i | −0.916263 | − | 0.400578i | \(-0.868809\pi\) |
0.745008 | + | 0.667056i | \(0.232446\pi\) | |||||||
\(548\) | 11.8815 | + | 26.0169i | 0.507554 | + | 1.11139i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.0649852 | − | 0.0190814i | −0.00277098 | − | 0.000813633i | ||||
\(551\) | −31.4574 | + | 4.52289i | −1.34013 | + | 0.192681i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.77399 | + | 1.98902i | −0.288059 | + | 0.0845818i | ||||
\(554\) | 0.287093 | + | 0.0842980i | 0.0121974 | + | 0.00358148i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −15.6278 | + | 13.5416i | −0.662766 | + | 0.574290i | ||||
\(557\) | 15.2938 | + | 23.7977i | 0.648020 | + | 1.00834i | 0.997449 | + | 0.0713763i | \(0.0227391\pi\) |
−0.349429 | + | 0.936963i | \(0.613625\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 24.4952 | + | 28.2690i | 1.03604 | + | 1.19565i | ||||
\(560\) | 8.17926 | + | 27.8560i | 0.345637 | + | 1.17713i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −1.15712 | + | 0.339762i | −0.0488103 | + | 0.0143320i | ||||
\(563\) | −2.47457 | + | 1.59031i | −0.104291 | + | 0.0670237i | −0.591747 | − | 0.806124i | \(-0.701561\pi\) |
0.487456 | + | 0.873148i | \(0.337925\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −25.8786 | −1.08872 | ||||||||
\(566\) | −1.20697 | −0.0507326 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −3.58684 | − | 3.10801i | −0.150500 | − | 0.130409i | ||||
\(569\) | 24.6462 | − | 3.54358i | 1.03322 | − | 0.148555i | 0.395217 | − | 0.918588i | \(-0.370669\pi\) |
0.638004 | + | 0.770033i | \(0.279760\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.86833 | + | 9.08054i | −0.329280 | + | 0.380009i | −0.896115 | − | 0.443822i | \(-0.853622\pi\) |
0.566835 | + | 0.823831i | \(0.308168\pi\) | |||||||
\(572\) | 1.50966 | + | 0.689440i | 0.0631221 | + | 0.0288269i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.574297i | 0.0239707i | ||||||||
\(575\) | 22.0280 | + | 10.0599i | 0.918631 | + | 0.419525i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −8.11244 | − | 27.6284i | −0.337725 | − | 1.15019i | −0.936908 | − | 0.349575i | \(-0.886326\pi\) |
0.599183 | − | 0.800612i | \(-0.295492\pi\) | |||||||
\(578\) | −0.207306 | − | 0.453936i | −0.00862278 | − | 0.0188813i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −22.8728 | + | 19.8194i | −0.949742 | + | 0.822956i | ||||
\(581\) | −23.0964 | + | 26.6547i | −0.958201 | + | 1.10582i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.09207 | + | 1.26032i | 0.0452289 | + | 0.0521970i | ||||
\(584\) | 0.244501 | + | 1.70054i | 0.0101175 | + | 0.0703688i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.251188 | + | 0.855467i | 0.0103765 | + | 0.0353390i | ||||
\(587\) | 2.64263 | + | 1.69831i | 0.109073 | + | 0.0700969i | 0.594040 | − | 0.804436i | \(-0.297532\pi\) |
−0.484967 | + | 0.874532i | \(0.661168\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −15.4925 | + | 52.7628i | −0.638359 | + | 2.17405i | ||||
\(590\) | −0.810340 | + | 0.370070i | −0.0333612 | + | 0.0152355i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 6.04943 | + | 3.88773i | 0.248630 | + | 0.159785i | ||||
\(593\) | 27.3643 | − | 31.5800i | 1.12372 | − | 1.29684i | 0.173642 | − | 0.984809i | \(-0.444446\pi\) |
0.950073 | − | 0.312028i | \(-0.101008\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 14.6609 | − | 32.1030i | 0.601040 | − | 1.31609i | ||||
\(596\) | 20.1000 | + | 2.88995i | 0.823329 | + | 0.118377i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.63006 | + | 1.04758i | 0.0666581 | + | 0.0428386i | ||||
\(599\) | 41.2565 | + | 12.1140i | 1.68570 | + | 0.494965i | 0.977479 | − | 0.211031i | \(-0.0676820\pi\) |
0.708216 | + | 0.705996i | \(0.249500\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.05526 | + | 21.2498i | −0.124627 | + | 0.866798i | 0.827581 | + | 0.561347i | \(0.189717\pi\) |
−0.952208 | + | 0.305452i | \(0.901193\pi\) | |||||||
\(602\) | 1.46938 | 0.0598876 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −9.93354 | −0.404190 | ||||||||
\(605\) | −4.89701 | + | 34.0595i | −0.199092 | + | 1.38471i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 18.1349 | + | 5.32489i | 0.736073 | + | 0.216131i | 0.628219 | − | 0.778036i | \(-0.283784\pi\) |
0.107854 | + | 0.994167i | \(0.465602\pi\) | |||||||
\(608\) | 5.32485 | + | 3.42207i | 0.215951 | + | 0.138783i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.17171 | + | 0.168466i | 0.0474410 | + | 0.00682098i | ||||
\(611\) | −12.0596 | + | 26.4069i | −0.487880 | + | 1.06831i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.222989 | + | 0.257343i | −0.00900644 | + | 0.0103940i | −0.760235 | − | 0.649648i | \(-0.774916\pi\) |
0.751228 | + | 0.660042i | \(0.229462\pi\) | |||||||
\(614\) | −1.84521 | − | 1.18584i | −0.0744666 | − | 0.0478568i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.118801 | − | 0.0542547i | 0.00478664 | − | 0.00218598i | ||||
\(617\) | −1.22064 | + | 4.15711i | −0.0491410 | + | 0.167359i | −0.980408 | − | 0.196980i | \(-0.936887\pi\) |
0.931267 | + | 0.364339i | \(0.118705\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 6.64783 | + | 4.27230i | 0.267199 | + | 0.171718i | 0.667379 | − | 0.744718i | \(-0.267416\pi\) |
−0.400180 | + | 0.916436i | \(0.631052\pi\) | |||||||
\(620\) | 14.7536 | + | 50.2462i | 0.592520 | + | 2.01794i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −0.286933 | − | 1.99566i | −0.0115050 | − | 0.0800188i | ||||
\(623\) | −22.2377 | − | 25.6636i | −0.890933 | − | 1.02819i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 16.8814 | − | 19.4821i | 0.675254 | − | 0.779285i | ||||
\(626\) | −0.330237 | + | 0.286152i | −0.0131989 | + | 0.0114369i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 15.0057 | + | 32.8579i | 0.598792 | + | 1.31117i | ||||
\(629\) | −2.46279 | − | 8.38749i | −0.0981979 | − | 0.334431i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −34.2509 | − | 15.6418i | −1.36351 | − | 0.622692i | −0.406738 | − | 0.913545i | \(-0.633334\pi\) |
−0.956768 | + | 0.290853i | \(0.906061\pi\) | |||||||
\(632\) | 0.973486i | 0.0387232i | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0.670332 | + | 0.306130i | 0.0266223 | + | 0.0121580i | ||||
\(635\) | 7.12256 | − | 8.21987i | 0.282650 | − | 0.326195i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −7.31555 | + | 1.05182i | −0.289853 | + | 0.0416745i | ||||
\(638\) | 0.0511958 | + | 0.0443614i | 0.00202686 | + | 0.00175628i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 8.03261 | 0.317517 | ||||||||
\(641\) | −31.2239 | −1.23327 | −0.616634 | − | 0.787250i | \(-0.711504\pi\) | ||||
−0.616634 | + | 0.787250i | \(0.711504\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −12.2304 | + | 7.86003i | −0.482322 | + | 0.309969i | −0.759111 | − | 0.650961i | \(-0.774366\pi\) |
0.276789 | + | 0.960931i | \(0.410730\pi\) | |||||||
\(644\) | −22.3663 | + | 6.56735i | −0.881358 | + | 0.258790i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.718670 | − | 2.44756i | −0.0282757 | − | 0.0962981i | ||||
\(647\) | 17.8998 | + | 20.6574i | 0.703713 | + | 0.812128i | 0.989249 | − | 0.146240i | \(-0.0467172\pi\) |
−0.285536 | + | 0.958368i | \(0.592172\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.330141 | − | 0.513709i | −0.0129592 | − | 0.0201649i | ||||
\(650\) | −1.41604 | + | 1.22701i | −0.0555418 | + | 0.0481272i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 16.6409 | + | 4.88620i | 0.651707 | + | 0.191358i | ||||
\(653\) | −44.6814 | + | 13.1196i | −1.74852 | + | 0.513411i | −0.990343 | − | 0.138641i | \(-0.955726\pi\) |
−0.758174 | + | 0.652052i | \(0.773908\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −6.86654 | + | 0.987260i | −0.268298 | + | 0.0385754i | ||||
\(656\) | −11.5775 | − | 3.39947i | −0.452027 | − | 0.132727i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.473736 | + | 1.03734i | 0.0184681 | + | 0.0404396i | ||||
\(659\) | −1.27534 | + | 1.98447i | −0.0496803 | + | 0.0773040i | −0.865205 | − | 0.501418i | \(-0.832812\pi\) |
0.815525 | + | 0.578722i | \(0.196448\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.7770 | + | 2.12461i | 0.574758 | + | 0.0826378i | 0.423564 | − | 0.905866i | \(-0.360779\pi\) |
0.151195 | + | 0.988504i | \(0.451688\pi\) | |||||||
\(662\) | −0.0586264 | − | 0.0267738i | −0.00227858 | − | 0.00104059i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.62925 | + | 4.09119i | 0.102035 | + | 0.158769i | ||||
\(665\) | 26.0195 | − | 40.4871i | 1.00899 | − | 1.57002i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −15.8614 | − | 18.3051i | −0.614157 | − | 0.708774i | ||||
\(668\) | 20.9981 | + | 3.01907i | 0.812440 | + | 0.116811i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.94606 | − | 0.709922i | −0.0751827 | − | 0.0274267i | ||||
\(671\) | 0.811430i | 0.0313249i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.80004 | − | 4.15926i | 0.185028 | − | 0.160328i | −0.557422 | − | 0.830230i | \(-0.688209\pi\) |
0.742450 | + | 0.669902i | \(0.233664\pi\) | |||||||
\(674\) | −0.314156 | + | 1.06992i | −0.0121008 | + | 0.0412116i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 16.8235 | − | 10.8118i | 0.647056 | − | 0.415838i | ||||
\(677\) | 1.03776 | − | 7.21775i | 0.0398842 | − | 0.277401i | −0.960113 | − | 0.279611i | \(-0.909794\pi\) |
0.999998 | + | 0.00221027i | \(0.000703552\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.00766 | + | 7.00842i | −0.0386704 | + | 0.268958i | ||||
\(680\) | −3.67777 | − | 3.18681i | −0.141036 | − | 0.122208i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.106621 | − | 0.0486921i | 0.00408272 | − | 0.00186452i | ||||
\(683\) | 3.85988 | + | 8.45196i | 0.147694 | + | 0.323405i | 0.968991 | − | 0.247096i | \(-0.0794763\pi\) |
−0.821297 | + | 0.570501i | \(0.806749\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.40478 | − | 44.5462i | −0.244714 | − | 1.70202i | ||||
\(686\) | −0.870429 | + | 1.35441i | −0.0332331 | + | 0.0517118i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −8.69782 | + | 29.6220i | −0.331601 | + | 1.12933i | ||||
\(689\) | 45.6651 | − | 6.56565i | 1.73970 | − | 0.250131i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 19.6802 | − | 12.6477i | 0.748669 | − | 0.481141i | −0.109833 | − | 0.993950i | \(-0.535032\pi\) |
0.858502 | + | 0.512810i | \(0.171395\pi\) | |||||||
\(692\) | −29.8327 | − | 25.8502i | −1.13407 | − | 0.982676i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.143167 | + | 0.0420375i | −0.00543453 | + | 0.00159572i | ||||
\(695\) | 29.5971 | − | 13.5166i | 1.12268 | − | 0.512712i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 7.93023 | + | 12.3397i | 0.300379 | + | 0.467399i | ||||
\(698\) | −1.07768 | + | 2.35979i | −0.0407908 | + | 0.0893194i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | − | 22.5411i | − | 0.851974i | ||||||
\(701\) | −5.27753 | + | 11.5562i | −0.199330 | + | 0.436471i | −0.982730 | − | 0.185047i | \(-0.940756\pi\) |
0.783400 | + | 0.621518i | \(0.213484\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.69649 | − | 11.7993i | −0.0639842 | − | 0.445020i | ||||
\(704\) | 0.193658 | + | 1.34692i | 0.00729876 | + | 0.0507640i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.126861 | + | 0.277786i | −0.00477447 | + | 0.0104546i | ||||
\(707\) | − | 33.7598i | − | 1.26967i | ||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −9.72629 | + | 21.2976i | −0.365278 | + | 0.799848i | 0.634362 | + | 0.773036i | \(0.281263\pi\) |
−0.999640 | + | 0.0268121i | \(0.991464\pi\) | |||||||
\(710\) | 2.01543 | + | 3.13607i | 0.0756377 | + | 0.117695i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.25925 | + | 1.94513i | −0.159622 | + | 0.0728970i | ||||
\(713\) | −40.2119 | + | 11.8073i | −1.50595 | + | 0.442186i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.97358 | − | 1.71012i | −0.0738079 | − | 0.0639549i | ||||
\(716\) | −23.2976 | + | 14.9725i | −0.870674 | + | 0.559548i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1.83234 | − | 0.263451i | 0.0683823 | − | 0.00983189i | ||||
\(719\) | 6.51726 | − | 22.1957i | 0.243053 | − | 0.827761i | −0.744112 | − | 0.668055i | \(-0.767127\pi\) |
0.987165 | − | 0.159706i | \(-0.0510547\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −9.99869 | + | 15.5583i | −0.372371 | + | 0.579420i | ||||
\(722\) | −0.276895 | − | 1.92585i | −0.0103050 | − | 0.0716725i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −11.3608 | − | 24.8767i | −0.422222 | − | 0.924536i | ||||
\(725\) | 21.3050 | − | 9.72965i | 0.791247 | − | 0.361350i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −4.15067 | − | 3.59658i | −0.153940 | − | 0.133390i | 0.574486 | − | 0.818515i | \(-0.305202\pi\) |
−0.728426 | + | 0.685125i | \(0.759748\pi\) | |||||||
\(728\) | 0.514199 | − | 3.57633i | 0.0190575 | − | 0.132548i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.192046 | − | 1.33571i | 0.00710794 | − | 0.0494368i | ||||
\(731\) | 31.5721 | − | 20.2901i | 1.16773 | − | 0.750458i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.180653 | − | 0.615249i | 0.00667258 | − | 0.0227247i | −0.956089 | − | 0.293075i | \(-0.905321\pi\) |
0.962762 | + | 0.270350i | \(0.0871396\pi\) | |||||||
\(734\) | −0.788452 | + | 0.683198i | −0.0291023 | + | 0.0252173i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.82400i | 0.177815i | ||||||||
\(737\) | 0.291834 | − | 1.38964i | 0.0107499 | − | 0.0511881i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −41.2112 | − | 5.92528i | −1.51598 | − | 0.217965i | −0.666467 | − | 0.745534i | \(-0.732194\pi\) |
−0.849512 | + | 0.527569i | \(0.823103\pi\) | |||||||
\(740\) | −7.43405 | − | 8.57935i | −0.273281 | − | 0.315383i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.979803 | − | 1.52460i | 0.0359697 | − | 0.0559699i | ||||
\(743\) | −6.31357 | − | 9.82411i | −0.231623 | − | 0.360412i | 0.705915 | − | 0.708297i | \(-0.250536\pi\) |
−0.937537 | + | 0.347885i | \(0.886900\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −29.0649 | − | 13.2735i | −1.06486 | − | 0.486304i | ||||
\(746\) | 2.15420 | + | 0.309728i | 0.0788710 | + | 0.0113399i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.900256 | − | 1.40083i | 0.0329166 | − | 0.0512193i | ||||
\(749\) | 1.57665 | + | 3.45239i | 0.0576097 | + | 0.126148i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11.6624 | − | 3.42439i | −0.425567 | − | 0.124958i | 0.0619341 | − | 0.998080i | \(-0.480273\pi\) |
−0.487501 | + | 0.873123i | \(0.662091\pi\) | |||||||
\(752\) | −23.7164 | + | 3.40990i | −0.864848 | + | 0.124346i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.79814 | − | 0.527982i | 0.0654845 | − | 0.0192280i | ||||
\(755\) | 14.9972 | + | 4.40357i | 0.545803 | + | 0.160262i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.62313 | − | 4.87247i | 0.204376 | − | 0.177093i | −0.546659 | − | 0.837356i | \(-0.684100\pi\) |
0.751035 | + | 0.660263i | \(0.229555\pi\) | |||||||
\(758\) | 1.18804 | + | 1.84862i | 0.0431514 | + | 0.0671449i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −4.34576 | − | 5.01528i | −0.157637 | − | 0.181923i | ||||
\(761\) | −9.18837 | − | 31.2927i | −0.333078 | − | 1.13436i | −0.940447 | − | 0.339940i | \(-0.889593\pi\) |
0.607369 | − | 0.794420i | \(-0.292225\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 21.1089 | − | 6.19814i | 0.764195 | − | 0.224388i | ||||
\(764\) | 25.0359 | − | 16.0896i | 0.905767 | − | 0.582101i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.420526 | −0.0151942 | ||||||||
\(767\) | −16.8934 | −0.609985 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 11.7925 | + | 10.2183i | 0.425250 | + | 0.368481i | 0.841034 | − | 0.540982i | \(-0.181947\pi\) |
−0.415784 | + | 0.909463i | \(0.636493\pi\) | |||||||
\(770\) | −0.101540 | + | 0.0145992i | −0.00365925 | + | 0.000526120i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 25.3829 | − | 29.2935i | 0.913552 | − | 1.05430i | ||||
\(773\) | −23.3213 | − | 10.6505i | −0.838809 | − | 0.383071i | −0.0507803 | − | 0.998710i | \(-0.516171\pi\) |
−0.788029 | + | 0.615639i | \(0.788898\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 40.5262i | − | 1.45574i | ||||||
\(776\) | 0.888088 | + | 0.405576i | 0.0318805 | + | 0.0145593i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.481289 | + | 1.63912i | 0.0172551 | + | 0.0587653i | ||||
\(779\) | 8.30940 | + | 18.1950i | 0.297715 | + | 0.651905i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.93119 | + | 1.67339i | −0.0691035 | + | 0.0598785i | ||||
\(782\) | 1.27312 | − | 1.46926i | 0.0455266 | − | 0.0525405i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.99466 | − | 4.61008i | −0.142666 | − | 0.164646i | ||||
\(785\) | −8.08886 | − | 56.2593i | −0.288704 | − | 2.00798i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 6.27434 | + | 21.3685i | 0.223656 | + | 0.761703i | 0.992498 | + | 0.122264i | \(0.0390153\pi\) |
−0.768841 | + | 0.639439i | \(0.779166\pi\) | |||||||
\(788\) | −34.2710 | − | 22.0246i | −1.22085 | − | 0.784595i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.215423 | − | 0.733663i | 0.00766441 | − | 0.0261026i | ||||
\(791\) | −17.5357 | + | 8.00829i | −0.623498 | + | 0.284742i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 18.8844 | + | 12.1363i | 0.670605 | + | 0.430972i | ||||
\(794\) | −1.69201 | + | 1.95269i | −0.0600473 | + | 0.0692983i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.14501 | + | 2.50721i | −0.0405837 | + | 0.0888658i | ||||
\(797\) | −25.6237 | − | 3.68413i | −0.907639 | − | 0.130499i | −0.327344 | − | 0.944905i | \(-0.606154\pi\) |
−0.580295 | + | 0.814407i | \(0.697063\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 24.5031 | + | 15.7472i | 0.866858 | + | 0.557096i | ||||
\(800\) | −4.47581 | − | 1.31422i | −0.158244 | − | 0.0464646i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0.132234 | − | 0.919706i | 0.00466934 | − | 0.0324760i | ||||
\(803\) | 0.925005 | 0.0326427 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 36.6790 | 1.29276 | ||||||||
\(806\) | 0.461480 | − | 3.20966i | 0.0162549 | − | 0.113056i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −4.46652 | − | 1.31149i | −0.157132 | − | 0.0461380i | ||||
\(809\) | −28.9893 | − | 18.6303i | −1.01921 | − | 0.655007i | −0.0794496 | − | 0.996839i | \(-0.525316\pi\) |
−0.939761 | + | 0.341832i | \(0.888953\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1.18436 | + | 0.170285i | 0.0415885 | + | 0.00597952i | 0.163078 | − | 0.986613i | \(-0.447858\pi\) |
−0.121489 | + | 0.992593i | \(0.538767\pi\) | |||||||
\(812\) | −9.36572 | + | 20.5081i | −0.328672 | + | 0.719692i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.0166395 | + | 0.0192030i | −0.000583214 | + | 0.000673065i | ||||
\(815\) | −22.9575 | − | 14.7539i | −0.804167 | − | 0.516807i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 46.5534 | − | 21.2602i | 1.62870 | − | 0.743802i | ||||
\(818\) | −0.701617 | + | 2.38949i | −0.0245315 | + | 0.0835465i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 16.0247 | + | 10.2985i | 0.559607 | + | 0.359638i | ||||
\(821\) | 4.75400 | + | 16.1906i | 0.165916 | + | 0.565057i | 0.999912 | + | 0.0132864i | \(0.00422932\pi\) |
−0.833996 | + | 0.551770i | \(0.813952\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −6.89413 | − | 47.9498i | −0.240314 | − | 1.67142i | −0.650565 | − | 0.759451i | \(-0.725468\pi\) |
0.410251 | − | 0.911973i | \(-0.365441\pi\) | |||||||
\(824\) | 1.66998 | + | 1.92726i | 0.0581764 | + | 0.0671391i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.434578 | + | 0.501530i | −0.0151209 | + | 0.0174505i | ||||
\(827\) | 37.3823 | − | 32.3919i | 1.29991 | − | 1.12638i | 0.315798 | − | 0.948826i | \(-0.397728\pi\) |
0.984112 | − | 0.177551i | \(-0.0568176\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −9.18123 | − | 20.1041i | −0.318877 | − | 0.698244i | 0.680528 | − | 0.732722i | \(-0.261750\pi\) |
−0.999405 | + | 0.0344779i | \(0.989023\pi\) | |||||||
\(830\) | −1.07618 | − | 3.66514i | −0.0373548 | − | 0.127219i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 34.2434 | + | 15.6384i | 1.18718 | + | 0.542166i | ||||
\(833\) | 7.41538i | 0.256928i | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −30.3635 | − | 13.8666i | −1.05077 | − | 0.479872i | ||||
\(836\) | 1.48702 | − | 1.71611i | 0.0514296 | − | 0.0593529i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 1.42953 | − | 0.205536i | 0.0493824 | − | 0.00710012i | ||||
\(839\) | 24.2871 | + | 21.0449i | 0.838484 | + | 0.726551i | 0.964103 | − | 0.265528i | \(-0.0855462\pi\) |
−0.125619 | + | 0.992079i | \(0.540092\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 5.57397 | 0.192206 | ||||||||
\(842\) | −2.58190 | −0.0889782 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 8.66624 | − | 5.56946i | 0.298304 | − | 0.191709i | ||||
\(845\) | −30.1921 | + | 8.86521i | −1.03864 | + | 0.304973i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.22163 | + | 24.5946i | 0.248138 | + | 0.845081i | ||||
\(848\) | 24.9354 | + | 28.7770i | 0.856286 | + | 0.988207i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 1.01637 | + | 1.58150i | 0.0348611 | + | 0.0542450i | ||||
\(851\) | 6.86603 | − | 5.94945i | 0.235365 | − | 0.203945i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 23.0625 | + | 6.77176i | 0.789645 | + | 0.231861i | 0.651598 | − | 0.758565i | \(-0.274099\pi\) |
0.138048 | + | 0.990426i | \(0.455917\pi\) | |||||||
\(854\) | 0.846099 | − | 0.248437i | 0.0289529 | − | 0.00850134i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.518010 | − | 0.0744787i | 0.0177052 | − | 0.00254563i | ||||
\(857\) | 35.3742 | + | 10.3868i | 1.20836 | + | 0.354807i | 0.823044 | − | 0.567977i | \(-0.192274\pi\) |
0.385317 | + | 0.922784i | \(0.374092\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 11.7199 | + | 25.6629i | 0.399877 | + | 0.875608i | 0.997283 | + | 0.0736691i | \(0.0234709\pi\) |
−0.597406 | + | 0.801939i | \(0.703802\pi\) | |||||||
\(860\) | 26.3494 | − | 41.0005i | 0.898507 | − | 1.39810i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −2.63214 | − | 0.378444i | −0.0896510 | − | 0.0128899i | ||||
\(863\) | −26.0408 | − | 11.8924i | −0.886440 | − | 0.404823i | −0.0804539 | − | 0.996758i | \(-0.525637\pi\) |
−0.805986 | + | 0.591935i | \(0.798364\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 33.5805 | + | 52.2523i | 1.14177 | + | 1.77663i | ||||
\(866\) | 0.125378 | − | 0.195091i | 0.00426050 | − | 0.00662947i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 25.5463 | + | 29.4820i | 0.867098 | + | 1.00068i | ||||
\(869\) | 0.518801 | + | 0.0745923i | 0.0175991 | + | 0.00253037i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −27.9763 | − | 27.5763i | −0.947940 | − | 0.934386i | ||||
\(872\) | − | 3.03355i | − | 0.102729i | ||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.00359 | − | 1.73612i | 0.0677723 | − | 0.0587250i | ||||
\(875\) | 0.332222 | − | 1.13144i | 0.0112312 | − | 0.0382498i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −45.9845 | + | 29.5525i | −1.55279 | + | 0.997916i | −0.568227 | + | 0.822872i | \(0.692370\pi\) |
−0.984561 | + | 0.175044i | \(0.943993\pi\) | |||||||
\(878\) | −0.163539 | + | 1.13744i | −0.00551917 | + | 0.0383867i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.306739 | − | 2.13341i | 0.0103402 | − | 0.0719174i | ||||
\(881\) | −38.2599 | − | 33.1524i | −1.28901 | − | 1.11693i | −0.986495 | − | 0.163789i | \(-0.947628\pi\) |
−0.302515 | − | 0.953145i | \(-0.597826\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −53.3043 | + | 24.3432i | −1.79383 | + | 0.819215i | −0.827696 | + | 0.561176i | \(0.810349\pi\) |
−0.966134 | + | 0.258039i | \(0.916924\pi\) | |||||||
\(884\) | −19.1366 | − | 41.9034i | −0.643634 | − | 1.40936i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.0110929 | + | 0.0771528i | 0.000372673 | + | 0.00259200i | ||||
\(887\) | 5.93160 | − | 9.22975i | 0.199164 | − | 0.309905i | −0.727278 | − | 0.686343i | \(-0.759215\pi\) |
0.926442 | + | 0.376438i | \(0.122851\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.28266 | − | 7.77403i | 0.0765580 | − | 0.260733i | ||||
\(890\) | 3.64040 | − | 0.523411i | 0.122027 | − | 0.0175448i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −42.2876 | + | 27.1766i | −1.41589 | + | 0.909939i | ||||
\(893\) | 30.0181 | + | 26.0108i | 1.00452 | + | 0.870418i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 41.8110 | − | 12.2768i | 1.39759 | − | 0.410369i | ||||
\(896\) | 5.44302 | − | 2.48574i | 0.181839 | − | 0.0830429i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 1.36069 | + | 2.11727i | 0.0454067 | + | 0.0706543i | ||||
\(899\) | −16.8384 | + | 36.8710i | −0.561592 | + | 1.22972i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 46.2882i | − | 1.54208i | ||||||
\(902\) | 0.0177117 | − | 0.0387832i | 0.000589735 | − | 0.00129134i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.378299 | + | 2.63113i | 0.0125820 | + | 0.0875100i | ||||
\(905\) | 6.12409 | + | 42.5940i | 0.203572 | + | 1.41587i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −5.94838 | + | 13.0251i | −0.197513 | + | 0.432493i | −0.982311 | − | 0.187259i | \(-0.940040\pi\) |
0.784798 | + | 0.619752i | \(0.212767\pi\) | |||||||
\(908\) | 0.0118195i | 0.000392244i | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −1.17893 | + | 2.58150i | −0.0390812 | + | 0.0855759i | ||||
\(911\) | 0.0595398 | + | 0.0926457i | 0.00197264 | + | 0.00306949i | 0.842238 | − | 0.539105i | \(-0.181237\pi\) |
−0.840266 | + | 0.542175i | \(0.817601\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.38179 | − | 1.08773i | 0.0788257 | − | 0.0359985i | ||||
\(914\) | −0.527940 | + | 0.155017i | −0.0174627 | + | 0.00512751i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −41.9086 | − | 36.3140i | −1.38470 | − | 1.19985i | ||||
\(917\) | −4.34736 | + | 2.79388i | −0.143563 | + | 0.0922620i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 48.2553 | − | 6.93807i | 1.59180 | − | 0.228866i | 0.711290 | − | 0.702899i | \(-0.248111\pi\) |
0.880507 | + | 0.474033i | \(0.157202\pi\) | |||||||
\(920\) | 1.42489 | − | 4.85273i | 0.0469772 | − | 0.159990i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.413329 | + | 0.643152i | −0.0136123 | + | 0.0211811i | ||||
\(923\) | 10.0606 | + | 69.9730i | 0.331149 | + | 2.30319i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.64949 | + | 7.99127i | 0.119995 | + | 0.262751i | ||||
\(926\) | −0.0336021 | + | 0.0153456i | −0.00110423 | + | 0.000504287i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 3.52607 | + | 3.05536i | 0.115749 | + | 0.100297i | ||||
\(929\) | 1.84868 | − | 12.8578i | 0.0606532 | − | 0.421852i | −0.936760 | − | 0.349972i | \(-0.886191\pi\) |
0.997413 | − | 0.0718799i | \(-0.0228998\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.43911 | + | 10.0092i | −0.0471649 | + | 0.328039i | ||||
\(932\) | 34.1710 | − | 21.9604i | 1.11931 | − | 0.719336i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0.0484899 | − | 0.165142i | 0.00158664 | − | 0.00540360i | ||||
\(935\) | −1.98015 | + | 1.71581i | −0.0647580 | + | 0.0561131i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 16.2866i | − | 0.532059i | −0.963965 | − | 0.266029i | \(-0.914288\pi\) | ||
0.963965 | − | 0.266029i | \(-0.0857118\pi\) | |||||||
\(938\) | −1.53837 | + | 0.121166i | −0.0502295 | + | 0.00395620i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 37.4401 | + | 5.38308i | 1.22116 | + | 0.175577i | ||||
\(941\) | 30.9785 | + | 35.7511i | 1.00987 | + | 1.16545i | 0.986171 | + | 0.165733i | \(0.0529990\pi\) |
0.0236995 | + | 0.999719i | \(0.492456\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −8.24183 | + | 12.8245i | −0.268391 | + | 0.417624i | ||||
\(944\) | −7.53817 | − | 11.7296i | −0.245346 | − | 0.381767i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.0992299 | − | 0.0453168i | −0.00322624 | − | 0.00147338i | ||||
\(947\) | −20.1735 | − | 2.90051i | −0.655550 | − | 0.0942538i | −0.193489 | − | 0.981102i | \(-0.561981\pi\) |
−0.462060 | + | 0.886849i | \(0.652890\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 13.8350 | − | 21.5277i | 0.449103 | − | 0.698817i | ||||
\(950\) | 1.06496 | + | 2.33194i | 0.0345519 | + | 0.0756582i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −3.47829 | − | 1.02132i | −0.112732 | − | 0.0331011i | ||||
\(953\) | −46.4000 | + | 6.67131i | −1.50304 | + | 0.216105i | −0.844140 | − | 0.536123i | \(-0.819888\pi\) |
−0.658903 | + | 0.752228i | \(0.728979\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −44.9306 | + | 13.1928i | −1.45392 | + | 0.426909i | ||||
\(956\) | −26.6822 | − | 7.83461i | −0.862965 | − | 0.253389i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 2.50283 | − | 2.16872i | 0.0808628 | − | 0.0700680i | ||||
\(959\) | −18.1251 | − | 28.2032i | −0.585290 | − | 0.910729i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 25.6284 | + | 29.5768i | 0.826723 | + | 0.954090i | ||||
\(962\) | 0.198041 | + | 0.674464i | 0.00638508 | + | 0.0217456i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 29.2873 | − | 8.59952i | 0.943280 | − | 0.276972i | ||||
\(965\) | −51.3078 | + | 32.9735i | −1.65166 | + | 1.06146i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −16.3316 | −0.525190 | −0.262595 | − | 0.964906i | \(-0.584578\pi\) | ||||
−0.262595 | + | 0.964906i | \(0.584578\pi\) | |||||||
\(968\) | 3.53448 | 0.113602 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.579554 | − | 0.502186i | −0.0186083 | − | 0.0161242i | ||||
\(971\) | −50.0547 | + | 7.19678i | −1.60633 | + | 0.230956i | −0.886343 | − | 0.463029i | \(-0.846762\pi\) |
−0.719989 | + | 0.693985i | \(0.755853\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 15.8727 | − | 18.3180i | 0.508855 | − | 0.587249i | ||||
\(974\) | −2.14152 | − | 0.978001i | −0.0686188 | − | 0.0313372i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 18.5275i | 0.593051i | ||||||||
\(977\) | 36.1361 | + | 16.5028i | 1.15610 | + | 0.527972i | 0.898799 | − | 0.438360i | \(-0.144441\pi\) |
0.257298 | + | 0.966332i | \(0.417168\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.710262 | + | 2.41893i | 0.0227001 | + | 0.0773094i | ||||
\(980\) | 4.00038 | + | 8.75962i | 0.127788 | + | 0.279816i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.826332 | + | 0.716021i | −0.0263693 | + | 0.0228491i | ||||
\(983\) | 22.6209 | − | 26.1060i | 0.721496 | − | 0.832651i | −0.269990 | − | 0.962863i | \(-0.587020\pi\) |
0.991486 | + | 0.130212i | \(0.0415659\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 41.9771 | + | 48.4441i | 1.33750 | + | 1.54356i | ||||
\(986\) | −0.267594 | − | 1.86115i | −0.00852192 | − | 0.0592712i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −17.6983 | − | 60.2747i | −0.563056 | − | 1.91759i | ||||
\(989\) | 32.8126 | + | 21.0874i | 1.04338 | + | 0.670539i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 13.9574 | − | 47.5345i | 0.443371 | − | 1.50998i | −0.370442 | − | 0.928856i | \(-0.620794\pi\) |
0.813813 | − | 0.581127i | \(-0.197388\pi\) | |||||||
\(992\) | 7.34343 | − | 3.35363i | 0.233154 | − | 0.106478i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 2.33616 | + | 1.50136i | 0.0740986 | + | 0.0476203i | ||||
\(995\) | 2.84013 | − | 3.27769i | 0.0900382 | − | 0.103910i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −9.90240 | + | 21.6832i | −0.313612 | + | 0.686714i | −0.999146 | − | 0.0413264i | \(-0.986842\pi\) |
0.685534 | + | 0.728041i | \(0.259569\pi\) | |||||||
\(998\) | −2.76329 | − | 0.397301i | −0.0874703 | − | 0.0125763i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 603.2.v.a.8.12 | ✓ | 240 | |
3.2 | odd | 2 | inner | 603.2.v.a.8.13 | yes | 240 | |
67.42 | odd | 22 | inner | 603.2.v.a.377.13 | yes | 240 | |
201.176 | even | 22 | inner | 603.2.v.a.377.12 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
603.2.v.a.8.12 | ✓ | 240 | 1.1 | even | 1 | trivial | |
603.2.v.a.8.13 | yes | 240 | 3.2 | odd | 2 | inner | |
603.2.v.a.377.12 | yes | 240 | 201.176 | even | 22 | inner | |
603.2.v.a.377.13 | yes | 240 | 67.42 | odd | 22 | inner |