Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 403.1 | ||
Character | \(\chi\) | \(=\) | 605.403 |
Dual form | 605.2.m.e.602.1 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.380541 | − | 2.40264i | −0.269083 | − | 1.69892i | −0.638468 | − | 0.769648i | \(-0.720432\pi\) |
0.369385 | − | 0.929276i | \(-0.379568\pi\) | |||||||
\(3\) | 0.532840 | − | 0.271495i | 0.307635 | − | 0.156748i | −0.293357 | − | 0.956003i | \(-0.594772\pi\) |
0.600992 | + | 0.799255i | \(0.294772\pi\) | |||||||
\(4\) | −3.72576 | + | 1.21057i | −1.86288 | + | 0.605287i | ||||
\(5\) | −0.622076 | − | 2.14779i | −0.278201 | − | 0.960523i | ||||
\(6\) | −0.855073 | − | 1.17691i | −0.349082 | − | 0.480470i | ||||
\(7\) | −1.17208 | + | 2.30033i | −0.443003 | + | 0.869443i | 0.556258 | + | 0.831010i | \(0.312237\pi\) |
−0.999261 | + | 0.0384331i | \(0.987763\pi\) | |||||||
\(8\) | 2.11764 | + | 4.15610i | 0.748698 | + | 1.46940i | ||||
\(9\) | −1.55315 | + | 2.13772i | −0.517716 | + | 0.712575i | ||||
\(10\) | −4.92366 | + | 2.31195i | −1.55700 | + | 0.731103i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −1.65657 | + | 1.65657i | −0.478210 | + | 0.478210i | ||||
\(13\) | −2.77422 | + | 0.439393i | −0.769429 | + | 0.121866i | −0.528794 | − | 0.848750i | \(-0.677356\pi\) |
−0.240635 | + | 0.970616i | \(0.577356\pi\) | |||||||
\(14\) | 5.97289 | + | 1.94071i | 1.59632 | + | 0.518677i | ||||
\(15\) | −0.914583 | − | 0.975539i | −0.236144 | − | 0.251883i | ||||
\(16\) | 2.84111 | − | 2.06419i | 0.710279 | − | 0.516048i | ||||
\(17\) | 0.932684 | + | 0.147723i | 0.226209 | + | 0.0358280i | 0.268510 | − | 0.963277i | \(-0.413469\pi\) |
−0.0423009 | + | 0.999105i | \(0.513469\pi\) | |||||||
\(18\) | 5.72722 | + | 2.91817i | 1.34992 | + | 0.687818i | ||||
\(19\) | −1.28236 | + | 3.94669i | −0.294193 | + | 0.905433i | 0.689298 | + | 0.724478i | \(0.257919\pi\) |
−0.983491 | + | 0.180955i | \(0.942081\pi\) | |||||||
\(20\) | 4.91777 | + | 7.24911i | 1.09965 | + | 1.62095i | ||||
\(21\) | 1.54392i | 0.336911i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.104710 | + | 0.104710i | 0.0218334 | + | 0.0218334i | 0.717939 | − | 0.696106i | \(-0.245086\pi\) |
−0.696106 | + | 0.717939i | \(0.745086\pi\) | |||||||
\(24\) | 2.25672 | + | 1.63960i | 0.460651 | + | 0.334683i | ||||
\(25\) | −4.22604 | + | 2.67218i | −0.845208 | + | 0.534437i | ||||
\(26\) | 2.11141 | + | 6.49824i | 0.414081 | + | 1.27441i | ||||
\(27\) | −0.527849 | + | 3.33271i | −0.101585 | + | 0.641380i | ||||
\(28\) | 1.58216 | − | 9.98937i | 0.299000 | − | 1.88781i | ||||
\(29\) | −2.14459 | − | 6.60038i | −0.398241 | − | 1.22566i | −0.926409 | − | 0.376520i | \(-0.877121\pi\) |
0.528168 | − | 0.849140i | \(-0.322879\pi\) | |||||||
\(30\) | −1.99583 | + | 2.56865i | −0.364388 | + | 0.468969i | ||||
\(31\) | −7.33171 | − | 5.32680i | −1.31681 | − | 0.956722i | −0.999966 | − | 0.00824590i | \(-0.997375\pi\) |
−0.316849 | − | 0.948476i | \(-0.602625\pi\) | |||||||
\(32\) | 0.555921 | + | 0.555921i | 0.0982739 | + | 0.0982739i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 2.29712i | − | 0.393953i | ||||||
\(35\) | 5.66976 | + | 1.08640i | 0.958364 | + | 0.183635i | ||||
\(36\) | 3.19879 | − | 9.84486i | 0.533131 | − | 1.64081i | ||||
\(37\) | 6.77002 | + | 3.44950i | 1.11298 | + | 0.567094i | 0.911046 | − | 0.412305i | \(-0.135276\pi\) |
0.201938 | + | 0.979398i | \(0.435276\pi\) | |||||||
\(38\) | 9.97047 | + | 1.57917i | 1.61742 | + | 0.256175i | ||||
\(39\) | −1.35892 | + | 0.987312i | −0.217601 | + | 0.158096i | ||||
\(40\) | 7.60911 | − | 7.13366i | 1.20311 | − | 1.12793i | ||||
\(41\) | −3.27880 | − | 1.06535i | −0.512063 | − | 0.166379i | 0.0415772 | − | 0.999135i | \(-0.486762\pi\) |
−0.553640 | + | 0.832756i | \(0.686762\pi\) | |||||||
\(42\) | 3.70949 | − | 0.587525i | 0.572386 | − | 0.0906571i | ||||
\(43\) | −3.91833 | + | 3.91833i | −0.597540 | + | 0.597540i | −0.939657 | − | 0.342117i | \(-0.888856\pi\) |
0.342117 | + | 0.939657i | \(0.388856\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 5.55757 | + | 2.00601i | 0.828473 | + | 0.299039i | ||||
\(46\) | 0.211733 | − | 0.291426i | 0.0312184 | − | 0.0429684i | ||||
\(47\) | 0.479999 | + | 0.942051i | 0.0700150 | + | 0.137412i | 0.923361 | − | 0.383933i | \(-0.125431\pi\) |
−0.853346 | + | 0.521345i | \(0.825431\pi\) | |||||||
\(48\) | 0.953440 | − | 1.87123i | 0.137617 | − | 0.270089i | ||||
\(49\) | 0.196744 | + | 0.270795i | 0.0281063 | + | 0.0386850i | ||||
\(50\) | 8.02848 | + | 9.13679i | 1.13540 | + | 1.29214i | ||||
\(51\) | 0.537077 | − | 0.174507i | 0.0752058 | − | 0.0244358i | ||||
\(52\) | 9.80416 | − | 4.99547i | 1.35959 | − | 0.692747i | ||||
\(53\) | −0.644920 | − | 4.07187i | −0.0885866 | − | 0.559314i | −0.991563 | − | 0.129624i | \(-0.958623\pi\) |
0.902977 | − | 0.429690i | \(-0.141377\pi\) | |||||||
\(54\) | 8.20817 | 1.11699 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −12.0424 | −1.60924 | ||||||||
\(57\) | 0.388217 | + | 2.45111i | 0.0514206 | + | 0.324657i | ||||
\(58\) | −15.0422 | + | 7.66441i | −1.97514 | + | 1.00639i | ||||
\(59\) | −6.16460 | + | 2.00300i | −0.802563 | + | 0.260768i | −0.681445 | − | 0.731870i | \(-0.738648\pi\) |
−0.121118 | + | 0.992638i | \(0.538648\pi\) | |||||||
\(60\) | 4.58848 | + | 2.52746i | 0.592371 | + | 0.326293i | ||||
\(61\) | −5.59880 | − | 7.70609i | −0.716853 | − | 0.986663i | −0.999622 | − | 0.0274756i | \(-0.991253\pi\) |
0.282769 | − | 0.959188i | \(-0.408747\pi\) | |||||||
\(62\) | −10.0084 | + | 19.6426i | −1.27107 | + | 2.49461i | ||||
\(63\) | −3.09706 | − | 6.07833i | −0.390193 | − | 0.765797i | ||||
\(64\) | 5.25251 | − | 7.22946i | 0.656564 | − | 0.903682i | ||||
\(65\) | 2.66950 | + | 5.68511i | 0.331111 | + | 0.705151i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.94509 | − | 2.94509i | 0.359801 | − | 0.359801i | −0.503939 | − | 0.863739i | \(-0.668116\pi\) |
0.863739 | + | 0.503939i | \(0.168116\pi\) | |||||||
\(68\) | −3.65379 | + | 0.578703i | −0.443087 | + | 0.0701781i | ||||
\(69\) | 0.0842215 | + | 0.0273652i | 0.0101391 | + | 0.00329439i | ||||
\(70\) | 0.452653 | − | 14.0358i | 0.0541023 | − | 1.67760i | ||||
\(71\) | −1.02426 | + | 0.744171i | −0.121558 | + | 0.0883168i | −0.646903 | − | 0.762572i | \(-0.723936\pi\) |
0.525345 | + | 0.850889i | \(0.323936\pi\) | |||||||
\(72\) | −12.1736 | − | 1.92811i | −1.43467 | − | 0.227230i | ||||
\(73\) | −1.57831 | − | 0.804189i | −0.184727 | − | 0.0941232i | 0.359181 | − | 0.933268i | \(-0.383056\pi\) |
−0.543908 | + | 0.839145i | \(0.683056\pi\) | |||||||
\(74\) | 5.71163 | − | 17.5786i | 0.663964 | − | 2.04347i | ||||
\(75\) | −1.52632 | + | 2.57120i | −0.176244 | + | 0.296896i | ||||
\(76\) | − | 16.2568i | − | 1.86479i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 2.88928 | + | 2.88928i | 0.327147 | + | 0.327147i | ||||
\(79\) | 3.51271 | + | 2.55214i | 0.395211 | + | 0.287138i | 0.767588 | − | 0.640944i | \(-0.221457\pi\) |
−0.372376 | + | 0.928082i | \(0.621457\pi\) | |||||||
\(80\) | −6.20085 | − | 4.81805i | −0.693276 | − | 0.538674i | ||||
\(81\) | −1.82606 | − | 5.62003i | −0.202895 | − | 0.624448i | ||||
\(82\) | −1.31193 | + | 8.28320i | −0.144878 | + | 0.914726i | ||||
\(83\) | −1.29707 | + | 8.18939i | −0.142372 | + | 0.898902i | 0.808315 | + | 0.588750i | \(0.200380\pi\) |
−0.950687 | + | 0.310152i | \(0.899620\pi\) | |||||||
\(84\) | −1.86903 | − | 5.75228i | −0.203928 | − | 0.627625i | ||||
\(85\) | −0.262923 | − | 2.09511i | −0.0285180 | − | 0.227246i | ||||
\(86\) | 10.9054 | + | 7.92326i | 1.17596 | + | 0.854388i | ||||
\(87\) | −2.93470 | − | 2.93470i | −0.314632 | − | 0.314632i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 4.23092i | − | 0.448477i | −0.974534 | − | 0.224238i | \(-0.928011\pi\) | ||
0.974534 | − | 0.224238i | \(-0.0719894\pi\) | |||||||
\(90\) | 2.70485 | − | 14.1162i | 0.285116 | − | 1.48798i | ||||
\(91\) | 2.24084 | − | 6.89661i | 0.234904 | − | 0.722961i | ||||
\(92\) | −0.516882 | − | 0.263364i | −0.0538886 | − | 0.0274576i | ||||
\(93\) | −5.35283 | − | 0.847805i | −0.555063 | − | 0.0879133i | ||||
\(94\) | 2.08075 | − | 1.51175i | 0.214613 | − | 0.155926i | ||||
\(95\) | 9.27440 | + | 0.299098i | 0.951534 | + | 0.0306868i | ||||
\(96\) | 0.447147 | + | 0.145287i | 0.0456367 | + | 0.0148283i | ||||
\(97\) | −14.2460 | + | 2.25634i | −1.44646 | + | 0.229097i | −0.829768 | − | 0.558109i | \(-0.811527\pi\) |
−0.616691 | + | 0.787205i | \(0.711527\pi\) | |||||||
\(98\) | 0.575755 | − | 0.575755i | 0.0581600 | − | 0.0581600i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 12.5104 | − | 15.0719i | 1.25104 | − | 1.50719i | ||||
\(101\) | −1.13747 | + | 1.56559i | −0.113182 | + | 0.155782i | −0.861850 | − | 0.507164i | \(-0.830694\pi\) |
0.748668 | + | 0.662946i | \(0.230694\pi\) | |||||||
\(102\) | −0.623657 | − | 1.22400i | −0.0617513 | − | 0.121194i | ||||
\(103\) | −0.780525 | + | 1.53187i | −0.0769075 | + | 0.150939i | −0.926258 | − | 0.376889i | \(-0.876994\pi\) |
0.849351 | + | 0.527829i | \(0.176994\pi\) | |||||||
\(104\) | −7.70094 | − | 10.5994i | −0.755139 | − | 1.03936i | ||||
\(105\) | 3.31602 | − | 0.960436i | 0.323611 | − | 0.0937289i | ||||
\(106\) | −9.53782 | + | 3.09903i | −0.926395 | + | 0.301004i | ||||
\(107\) | −3.70571 | + | 1.88816i | −0.358245 | + | 0.182535i | −0.623844 | − | 0.781549i | \(-0.714430\pi\) |
0.265600 | + | 0.964083i | \(0.414430\pi\) | |||||||
\(108\) | −2.06785 | − | 13.0559i | −0.198979 | − | 1.25630i | ||||
\(109\) | 3.22321 | 0.308728 | 0.154364 | − | 0.988014i | \(-0.450667\pi\) | ||||
0.154364 | + | 0.988014i | \(0.450667\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.54385 | 0.431284 | ||||||||
\(112\) | 1.41832 | + | 8.95489i | 0.134018 | + | 0.846157i | ||||
\(113\) | −9.93758 | + | 5.06345i | −0.934849 | + | 0.476329i | −0.853928 | − | 0.520391i | \(-0.825786\pi\) |
−0.0809210 | + | 0.996721i | \(0.525786\pi\) | |||||||
\(114\) | 5.74140 | − | 1.86549i | 0.537731 | − | 0.174720i | ||||
\(115\) | 0.159757 | − | 0.290032i | 0.0148974 | − | 0.0270456i | ||||
\(116\) | 15.9805 | + | 21.9953i | 1.48375 | + | 2.04221i | ||||
\(117\) | 3.36947 | − | 6.61295i | 0.311507 | − | 0.611367i | ||||
\(118\) | 7.15838 | + | 14.0491i | 0.658982 | + | 1.29333i | ||||
\(119\) | −1.43299 | + | 1.97234i | −0.131362 | + | 0.180804i | ||||
\(120\) | 2.11768 | − | 5.86693i | 0.193317 | − | 0.535575i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −16.3844 | + | 16.3844i | −1.48337 | + | 1.48337i | ||||
\(123\) | −2.03631 | + | 0.322520i | −0.183608 | + | 0.0290807i | ||||
\(124\) | 33.7647 | + | 10.9708i | 3.03216 | + | 0.985209i | ||||
\(125\) | 8.36822 | + | 7.41437i | 0.748477 | + | 0.663161i | ||||
\(126\) | −13.4255 | + | 9.75419i | −1.19604 | + | 0.868972i | ||||
\(127\) | 2.34580 | + | 0.371538i | 0.208156 | + | 0.0329687i | 0.259641 | − | 0.965705i | \(-0.416396\pi\) |
−0.0514856 | + | 0.998674i | \(0.516396\pi\) | |||||||
\(128\) | −17.9676 | − | 9.15495i | −1.58813 | − | 0.809191i | ||||
\(129\) | −1.02403 | + | 3.15165i | −0.0901611 | + | 0.277487i | ||||
\(130\) | 12.6434 | − | 8.57727i | 1.10890 | − | 0.752276i | ||||
\(131\) | 3.12466i | 0.273003i | 0.990640 | + | 0.136501i | \(0.0435858\pi\) | ||||
−0.990640 | + | 0.136501i | \(0.956414\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −7.57567 | − | 7.57567i | −0.656894 | − | 0.656894i | ||||
\(134\) | −8.19674 | − | 5.95528i | −0.708090 | − | 0.514458i | ||||
\(135\) | 7.48633 | − | 0.939487i | 0.644321 | − | 0.0808582i | ||||
\(136\) | 1.36114 | + | 4.18915i | 0.116716 | + | 0.359216i | ||||
\(137\) | 2.58679 | − | 16.3323i | 0.221004 | − | 1.39537i | −0.588617 | − | 0.808412i | \(-0.700327\pi\) |
0.809621 | − | 0.586953i | \(-0.199673\pi\) | |||||||
\(138\) | 0.0336991 | − | 0.212768i | 0.00286866 | − | 0.0181120i | ||||
\(139\) | −1.33510 | − | 4.10901i | −0.113242 | − | 0.348522i | 0.878335 | − | 0.478046i | \(-0.158655\pi\) |
−0.991576 | + | 0.129524i | \(0.958655\pi\) | |||||||
\(140\) | −22.4393 | + | 2.81599i | −1.89647 | + | 0.237995i | ||||
\(141\) | 0.511525 | + | 0.371645i | 0.0430782 | + | 0.0312981i | ||||
\(142\) | 2.17775 | + | 2.17775i | 0.182753 | + | 0.182753i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 9.27951i | 0.773293i | ||||||||
\(145\) | −12.8422 | + | 8.71208i | −1.06648 | + | 0.723499i | ||||
\(146\) | −1.33157 | + | 4.09814i | −0.110201 | + | 0.339164i | ||||
\(147\) | 0.178353 | + | 0.0908753i | 0.0147103 | + | 0.00749527i | ||||
\(148\) | −29.3994 | − | 4.65640i | −2.41661 | − | 0.382754i | ||||
\(149\) | −6.83188 | + | 4.96365i | −0.559689 | + | 0.406638i | −0.831345 | − | 0.555756i | \(-0.812429\pi\) |
0.271656 | + | 0.962394i | \(0.412429\pi\) | |||||||
\(150\) | 6.75849 | + | 2.68875i | 0.551828 | + | 0.219535i | ||||
\(151\) | −11.3483 | − | 3.68729i | −0.923513 | − | 0.300068i | −0.191606 | − | 0.981472i | \(-0.561370\pi\) |
−0.731907 | + | 0.681404i | \(0.761370\pi\) | |||||||
\(152\) | −19.1184 | + | 3.02806i | −1.55071 | + | 0.245608i | ||||
\(153\) | −1.76439 | + | 1.76439i | −0.142642 | + | 0.142642i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.87999 | + | 19.0607i | −0.552614 | + | 1.53099i | ||||
\(156\) | 3.86780 | − | 5.32357i | 0.309672 | − | 0.426226i | ||||
\(157\) | 0.618117 | + | 1.21312i | 0.0493311 | + | 0.0968177i | 0.914356 | − | 0.404911i | \(-0.132698\pi\) |
−0.865025 | + | 0.501729i | \(0.832698\pi\) | |||||||
\(158\) | 4.79514 | − | 9.41098i | 0.381481 | − | 0.748698i | ||||
\(159\) | −1.44913 | − | 1.99456i | −0.114924 | − | 0.158179i | ||||
\(160\) | 0.848179 | − | 1.53983i | 0.0670544 | − | 0.121734i | ||||
\(161\) | −0.363594 | + | 0.118139i | −0.0286552 | + | 0.00931064i | ||||
\(162\) | −12.8080 | + | 6.52602i | −1.00629 | + | 0.512732i | ||||
\(163\) | 3.58914 | + | 22.6610i | 0.281123 | + | 1.77494i | 0.574062 | + | 0.818812i | \(0.305367\pi\) |
−0.292939 | + | 0.956131i | \(0.594633\pi\) | |||||||
\(164\) | 13.5057 | 1.05462 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 20.1698 | 1.56548 | ||||||||
\(167\) | 2.24646 | + | 14.1836i | 0.173836 | + | 1.09756i | 0.908118 | + | 0.418714i | \(0.137519\pi\) |
−0.734282 | + | 0.678845i | \(0.762481\pi\) | |||||||
\(168\) | −6.41668 | + | 3.26946i | −0.495058 | + | 0.252244i | ||||
\(169\) | −4.86053 | + | 1.57928i | −0.373887 | + | 0.121483i | ||||
\(170\) | −4.93374 | + | 1.42898i | −0.378401 | + | 0.109598i | ||||
\(171\) | −6.44525 | − | 8.87112i | −0.492880 | − | 0.678391i | ||||
\(172\) | 9.85535 | − | 19.3422i | 0.751464 | − | 1.47483i | ||||
\(173\) | 10.1247 | + | 19.8708i | 0.769766 | + | 1.51075i | 0.857430 | + | 0.514601i | \(0.172060\pi\) |
−0.0876641 | + | 0.996150i | \(0.527940\pi\) | |||||||
\(174\) | −5.93425 | + | 8.16780i | −0.449874 | + | 0.619199i | ||||
\(175\) | −1.19366 | − | 12.8533i | −0.0902321 | − | 0.971618i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.74094 | + | 2.74094i | −0.206022 | + | 0.206022i | ||||
\(178\) | −10.1654 | + | 1.61004i | −0.761928 | + | 0.120678i | ||||
\(179\) | −4.15441 | − | 1.34985i | −0.310516 | − | 0.100893i | 0.149614 | − | 0.988745i | \(-0.452197\pi\) |
−0.460129 | + | 0.887852i | \(0.652197\pi\) | |||||||
\(180\) | −23.1346 | − | 0.746088i | −1.72435 | − | 0.0556101i | ||||
\(181\) | −7.63694 | + | 5.54857i | −0.567650 | + | 0.412422i | −0.834251 | − | 0.551385i | \(-0.814099\pi\) |
0.266601 | + | 0.963807i | \(0.414099\pi\) | |||||||
\(182\) | −17.4228 | − | 2.75950i | −1.29147 | − | 0.204548i | ||||
\(183\) | −5.07543 | − | 2.58606i | −0.375187 | − | 0.191167i | ||||
\(184\) | −0.213446 | + | 0.656920i | −0.0157355 | + | 0.0484287i | ||||
\(185\) | 3.19734 | − | 16.6865i | 0.235073 | − | 1.22681i | ||||
\(186\) | 13.1836i | 0.966665i | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −2.92879 | − | 2.92879i | −0.213604 | − | 0.213604i | ||||
\(189\) | −7.04765 | − | 5.12041i | −0.512641 | − | 0.372455i | ||||
\(190\) | −2.81067 | − | 22.3969i | −0.203907 | − | 1.62484i | ||||
\(191\) | −2.00020 | − | 6.15597i | −0.144729 | − | 0.445430i | 0.852247 | − | 0.523140i | \(-0.175239\pi\) |
−0.996976 | + | 0.0777092i | \(0.975239\pi\) | |||||||
\(192\) | 0.835981 | − | 5.27817i | 0.0603317 | − | 0.380919i | ||||
\(193\) | −0.157473 | + | 0.994245i | −0.0113352 | + | 0.0715674i | −0.992707 | − | 0.120548i | \(-0.961535\pi\) |
0.981372 | + | 0.192115i | \(0.0615348\pi\) | |||||||
\(194\) | 10.8424 | + | 33.3693i | 0.778436 | + | 2.39578i | ||||
\(195\) | 2.96589 | + | 2.30449i | 0.212392 | + | 0.165028i | ||||
\(196\) | −1.06084 | − | 0.770746i | −0.0757744 | − | 0.0550533i | ||||
\(197\) | −17.3425 | − | 17.3425i | −1.23560 | − | 1.23560i | −0.961781 | − | 0.273821i | \(-0.911713\pi\) |
−0.273821 | − | 0.961781i | \(-0.588287\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.25580i | 0.230797i | 0.993319 | + | 0.115399i | \(0.0368146\pi\) | ||||
−0.993319 | + | 0.115399i | \(0.963185\pi\) | |||||||
\(200\) | −20.0551 | − | 11.9051i | −1.41811 | − | 0.841819i | ||||
\(201\) | 0.769684 | − | 2.36884i | 0.0542893 | − | 0.167085i | ||||
\(202\) | 4.19440 | + | 2.13715i | 0.295117 | + | 0.150370i | ||||
\(203\) | 17.6967 | + | 2.80288i | 1.24206 | + | 0.196723i | ||||
\(204\) | −1.78977 | + | 1.30034i | −0.125309 | + | 0.0910422i | ||||
\(205\) | −0.248483 | + | 7.70492i | −0.0173548 | + | 0.538135i | ||||
\(206\) | 3.97755 | + | 1.29238i | 0.277129 | + | 0.0900447i | ||||
\(207\) | −0.386469 | + | 0.0612107i | −0.0268615 | + | 0.00425444i | ||||
\(208\) | −6.97487 | + | 6.97487i | −0.483621 | + | 0.483621i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −3.56947 | − | 7.60173i | −0.246317 | − | 0.524569i | ||||
\(211\) | 14.6014 | − | 20.0971i | 1.00520 | − | 1.38354i | 0.0831208 | − | 0.996539i | \(-0.473511\pi\) |
0.922080 | − | 0.387000i | \(-0.126489\pi\) | |||||||
\(212\) | 7.33212 | + | 14.3901i | 0.503572 | + | 0.988316i | ||||
\(213\) | −0.343729 | + | 0.674606i | −0.0235519 | + | 0.0462232i | ||||
\(214\) | 5.94674 | + | 8.18498i | 0.406511 | + | 0.559514i | ||||
\(215\) | 10.8533 | + | 5.97827i | 0.740187 | + | 0.407715i | ||||
\(216\) | −14.9688 | + | 4.86367i | −1.01850 | + | 0.330931i | ||||
\(217\) | 20.8467 | − | 10.6219i | 1.41517 | − | 0.721064i | ||||
\(218\) | −1.22657 | − | 7.74423i | −0.0830735 | − | 0.524505i | ||||
\(219\) | −1.05932 | −0.0715822 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.65237 | −0.178418 | ||||||||
\(222\) | −1.72912 | − | 10.9173i | −0.116051 | − | 0.732718i | ||||
\(223\) | 17.4548 | − | 8.89368i | 1.16886 | − | 0.595565i | 0.241746 | − | 0.970339i | \(-0.422280\pi\) |
0.927116 | + | 0.374774i | \(0.122280\pi\) | |||||||
\(224\) | −1.93038 | + | 0.627220i | −0.128979 | + | 0.0419079i | ||||
\(225\) | 0.851275 | − | 13.1844i | 0.0567517 | − | 0.878961i | ||||
\(226\) | 15.9473 | + | 21.9496i | 1.06080 | + | 1.46007i | ||||
\(227\) | −0.464395 | + | 0.911427i | −0.0308230 | + | 0.0604935i | −0.905904 | − | 0.423482i | \(-0.860808\pi\) |
0.875081 | + | 0.483976i | \(0.160808\pi\) | |||||||
\(228\) | −4.41365 | − | 8.66228i | −0.292301 | − | 0.573674i | ||||
\(229\) | 0.0598653 | − | 0.0823975i | 0.00395601 | − | 0.00544498i | −0.807034 | − | 0.590504i | \(-0.798929\pi\) |
0.810990 | + | 0.585059i | \(0.198929\pi\) | |||||||
\(230\) | −0.757637 | − | 0.273470i | −0.0499571 | − | 0.0180321i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 22.8903 | − | 22.8903i | 1.50282 | − | 1.50282i | ||||
\(233\) | 21.1366 | − | 3.34771i | 1.38470 | − | 0.219316i | 0.580786 | − | 0.814056i | \(-0.302745\pi\) |
0.803918 | + | 0.594740i | \(0.202745\pi\) | |||||||
\(234\) | −17.1708 | − | 5.57912i | −1.12249 | − | 0.364719i | ||||
\(235\) | 1.72474 | − | 1.61697i | 0.112509 | − | 0.105479i | ||||
\(236\) | 20.5431 | − | 14.9254i | 1.33724 | − | 0.971562i | ||||
\(237\) | 2.56461 | + | 0.406194i | 0.166589 | + | 0.0263851i | ||||
\(238\) | 5.28413 | + | 2.69240i | 0.342519 | + | 0.174522i | ||||
\(239\) | 2.67723 | − | 8.23966i | 0.173175 | − | 0.532979i | −0.826370 | − | 0.563128i | \(-0.809598\pi\) |
0.999545 | + | 0.0301483i | \(0.00959795\pi\) | |||||||
\(240\) | −4.61213 | − | 0.883745i | −0.297712 | − | 0.0570455i | ||||
\(241\) | − | 10.6492i | − | 0.685976i | −0.939340 | − | 0.342988i | \(-0.888561\pi\) | ||
0.939340 | − | 0.342988i | \(-0.111439\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −9.65667 | − | 9.65667i | −0.619476 | − | 0.619476i | ||||
\(244\) | 30.1886 | + | 21.9333i | 1.93263 | + | 1.40414i | ||||
\(245\) | 0.459223 | − | 0.591022i | 0.0293387 | − | 0.0377590i | ||||
\(246\) | 1.54980 | + | 4.76980i | 0.0988118 | + | 0.304111i | ||||
\(247\) | 1.82339 | − | 11.5124i | 0.116020 | − | 0.732518i | ||||
\(248\) | 6.61279 | − | 41.7515i | 0.419913 | − | 2.65123i | ||||
\(249\) | 1.53225 | + | 4.71578i | 0.0971023 | + | 0.298850i | ||||
\(250\) | 14.6296 | − | 22.9273i | 0.925259 | − | 1.45005i | ||||
\(251\) | 7.59915 | + | 5.52110i | 0.479654 | + | 0.348489i | 0.801192 | − | 0.598408i | \(-0.204200\pi\) |
−0.321538 | + | 0.946897i | \(0.604200\pi\) | |||||||
\(252\) | 18.8972 | + | 18.8972i | 1.19041 | + | 1.19041i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | − | 5.77750i | − | 0.362513i | ||||||
\(255\) | −0.708907 | − | 1.04497i | −0.0443935 | − | 0.0654388i | ||||
\(256\) | −9.63584 | + | 29.6561i | −0.602240 | + | 1.85350i | ||||
\(257\) | −16.4300 | − | 8.37149i | −1.02487 | − | 0.522199i | −0.141042 | − | 0.990004i | \(-0.545045\pi\) |
−0.883832 | + | 0.467804i | \(0.845045\pi\) | |||||||
\(258\) | 7.96198 | + | 1.26105i | 0.495691 | + | 0.0785097i | ||||
\(259\) | −15.8700 | + | 11.5302i | −0.986111 | + | 0.716451i | ||||
\(260\) | −16.8282 | − | 17.9498i | −1.04364 | − | 1.11320i | ||||
\(261\) | 17.4407 | + | 5.66681i | 1.07955 | + | 0.350767i | ||||
\(262\) | 7.50744 | − | 1.18906i | 0.463811 | − | 0.0734605i | ||||
\(263\) | 11.8928 | − | 11.8928i | 0.733342 | − | 0.733342i | −0.237938 | − | 0.971280i | \(-0.576472\pi\) |
0.971280 | + | 0.237938i | \(0.0764717\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.34434 | + | 3.91817i | −0.512589 | + | 0.240691i | ||||
\(266\) | −15.3188 | + | 21.0845i | −0.939254 | + | 1.29277i | ||||
\(267\) | −1.14868 | − | 2.25440i | −0.0702978 | − | 0.137967i | ||||
\(268\) | −7.40747 | + | 14.5380i | −0.452483 | + | 0.888049i | ||||
\(269\) | 16.7264 | + | 23.0219i | 1.01983 | + | 1.40367i | 0.912325 | + | 0.409467i | \(0.134285\pi\) |
0.107502 | + | 0.994205i | \(0.465715\pi\) | |||||||
\(270\) | −5.10611 | − | 17.6295i | −0.310748 | − | 1.07290i | ||||
\(271\) | 28.2295 | − | 9.17232i | 1.71482 | − | 0.557179i | 0.723696 | − | 0.690118i | \(-0.242442\pi\) |
0.991124 | + | 0.132939i | \(0.0424416\pi\) | |||||||
\(272\) | 2.95479 | − | 1.50554i | 0.179160 | − | 0.0912868i | ||||
\(273\) | −0.678387 | − | 4.28317i | −0.0410578 | − | 0.259229i | ||||
\(274\) | −40.2251 | −2.43009 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.346917 | −0.0208820 | ||||||||
\(277\) | 1.94287 | + | 12.2668i | 0.116736 | + | 0.737041i | 0.974731 | + | 0.223383i | \(0.0717099\pi\) |
−0.857995 | + | 0.513658i | \(0.828290\pi\) | |||||||
\(278\) | −9.36443 | + | 4.77141i | −0.561641 | + | 0.286170i | ||||
\(279\) | 22.7745 | − | 7.39987i | 1.36347 | − | 0.443019i | ||||
\(280\) | 7.49130 | + | 25.8646i | 0.447691 | + | 1.54571i | ||||
\(281\) | −12.8578 | − | 17.6972i | −0.767032 | − | 1.05573i | −0.996596 | − | 0.0824357i | \(-0.973730\pi\) |
0.229564 | − | 0.973294i | \(-0.426270\pi\) | |||||||
\(282\) | 0.698273 | − | 1.37044i | 0.0415815 | − | 0.0816083i | ||||
\(283\) | −12.3474 | − | 24.2332i | −0.733978 | − | 1.44051i | −0.891511 | − | 0.453000i | \(-0.850354\pi\) |
0.157532 | − | 0.987514i | \(-0.449646\pi\) | |||||||
\(284\) | 2.91529 | − | 4.01255i | 0.172991 | − | 0.238101i | ||||
\(285\) | 5.02297 | − | 2.35859i | 0.297535 | − | 0.139711i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 6.29366 | − | 6.29366i | 0.371503 | − | 0.371503i | ||||
\(288\) | −2.05183 | + | 0.324978i | −0.120905 | + | 0.0191495i | ||||
\(289\) | −15.3199 | − | 4.97773i | −0.901170 | − | 0.292808i | ||||
\(290\) | 25.8190 | + | 27.5398i | 1.51614 | + | 1.61719i | ||||
\(291\) | −6.97823 | + | 5.06998i | −0.409071 | + | 0.297207i | ||||
\(292\) | 6.85394 | + | 1.08556i | 0.401096 | + | 0.0635274i | ||||
\(293\) | −17.9201 | − | 9.13077i | −1.04691 | − | 0.533425i | −0.156068 | − | 0.987746i | \(-0.549882\pi\) |
−0.890838 | + | 0.454321i | \(0.849882\pi\) | |||||||
\(294\) | 0.150470 | − | 0.463100i | 0.00877560 | − | 0.0270085i | ||||
\(295\) | 8.13689 | + | 11.9943i | 0.473748 | + | 0.698334i | ||||
\(296\) | 35.4416i | 2.06000i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 14.5257 | + | 14.5257i | 0.841450 | + | 0.841450i | ||||
\(299\) | −0.336495 | − | 0.244478i | −0.0194600 | − | 0.0141385i | ||||
\(300\) | 2.57407 | − | 11.4274i | 0.148614 | − | 0.659761i | ||||
\(301\) | −4.42087 | − | 13.6060i | −0.254815 | − | 0.784239i | ||||
\(302\) | −4.54074 | + | 28.6691i | −0.261290 | + | 1.64972i | ||||
\(303\) | −0.181037 | + | 1.14302i | −0.0104003 | + | 0.0656650i | ||||
\(304\) | 4.50340 | + | 13.8600i | 0.258288 | + | 0.794927i | ||||
\(305\) | −13.0682 | + | 16.8188i | −0.748284 | + | 0.963044i | ||||
\(306\) | 4.91061 | + | 3.56777i | 0.280721 | + | 0.203956i | ||||
\(307\) | 14.6921 | + | 14.6921i | 0.838520 | + | 0.838520i | 0.988664 | − | 0.150144i | \(-0.0479738\pi\) |
−0.150144 | + | 0.988664i | \(0.547974\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.02815i | 0.0584893i | ||||||||
\(310\) | 48.4141 | + | 9.27678i | 2.74974 | + | 0.526886i | ||||
\(311\) | 7.19358 | − | 22.1396i | 0.407911 | − | 1.25542i | −0.510530 | − | 0.859860i | \(-0.670551\pi\) |
0.918440 | − | 0.395560i | \(-0.129449\pi\) | |||||||
\(312\) | −6.98106 | − | 3.55703i | −0.395225 | − | 0.201377i | ||||
\(313\) | 13.8454 | + | 2.19289i | 0.782587 | + | 0.123950i | 0.534928 | − | 0.844898i | \(-0.320339\pi\) |
0.247659 | + | 0.968847i | \(0.420339\pi\) | |||||||
\(314\) | 2.67948 | − | 1.94676i | 0.151212 | − | 0.109862i | ||||
\(315\) | −11.1284 | + | 10.4330i | −0.627014 | + | 0.587835i | ||||
\(316\) | −16.1771 | − | 5.25626i | −0.910032 | − | 0.295687i | ||||
\(317\) | 29.1369 | − | 4.61482i | 1.63649 | − | 0.259194i | 0.730630 | − | 0.682774i | \(-0.239227\pi\) |
0.905859 | + | 0.423580i | \(0.139227\pi\) | |||||||
\(318\) | −4.24076 | + | 4.24076i | −0.237810 | + | 0.237810i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −18.7949 | − | 6.78404i | −1.05066 | − | 0.379239i | ||||
\(321\) | −1.46193 | + | 2.01217i | −0.0815967 | + | 0.112308i | ||||
\(322\) | 0.422208 | + | 0.828629i | 0.0235287 | + | 0.0461777i | ||||
\(323\) | −1.77905 | + | 3.49158i | −0.0989889 | + | 0.194277i | ||||
\(324\) | 13.6069 | + | 18.7283i | 0.755940 | + | 1.04046i | ||||
\(325\) | 10.5498 | − | 9.27011i | 0.585198 | − | 0.514213i | ||||
\(326\) | 53.0803 | − | 17.2468i | 2.93985 | − | 0.955215i | ||||
\(327\) | 1.71746 | − | 0.875087i | 0.0949755 | − | 0.0483924i | ||||
\(328\) | −2.51563 | − | 15.8830i | −0.138902 | − | 0.876994i | ||||
\(329\) | −2.72962 | −0.150489 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.18560 | 0.120131 | 0.0600657 | − | 0.998194i | \(-0.480869\pi\) | ||||
0.0600657 | + | 0.998194i | \(0.480869\pi\) | |||||||
\(332\) | −5.08128 | − | 32.0819i | −0.278871 | − | 1.76072i | ||||
\(333\) | −17.8889 | + | 9.11485i | −0.980306 | + | 0.499491i | ||||
\(334\) | 33.2232 | − | 10.7949i | 1.81789 | − | 0.590670i | ||||
\(335\) | −8.15753 | − | 4.49338i | −0.445694 | − | 0.245500i | ||||
\(336\) | 3.18694 | + | 4.38645i | 0.173862 | + | 0.239301i | ||||
\(337\) | 0.818095 | − | 1.60560i | 0.0445645 | − | 0.0874627i | −0.867650 | − | 0.497175i | \(-0.834371\pi\) |
0.912215 | + | 0.409712i | \(0.134371\pi\) | |||||||
\(338\) | 5.64408 | + | 11.0771i | 0.306997 | + | 0.602516i | ||||
\(339\) | −3.92043 | + | 5.39601i | −0.212929 | + | 0.293071i | ||||
\(340\) | 3.51587 | + | 7.48759i | 0.190675 | + | 0.406072i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −18.8614 | + | 18.8614i | −1.01991 | + | 1.01991i | ||||
\(343\) | −18.7031 | + | 2.96227i | −1.00987 | + | 0.159948i | ||||
\(344\) | −24.5826 | − | 7.98736i | −1.32540 | − | 0.430650i | ||||
\(345\) | 0.00638269 | − | 0.197914i | 0.000343632 | − | 0.0106553i | ||||
\(346\) | 43.8896 | − | 31.8877i | 2.35952 | − | 1.71429i | ||||
\(347\) | 21.2079 | + | 3.35900i | 1.13850 | + | 0.180321i | 0.697090 | − | 0.716984i | \(-0.254478\pi\) |
0.441411 | + | 0.897305i | \(0.354478\pi\) | |||||||
\(348\) | 14.4867 | + | 7.38132i | 0.776566 | + | 0.395680i | ||||
\(349\) | −3.29300 | + | 10.1348i | −0.176270 | + | 0.542505i | −0.999689 | − | 0.0249295i | \(-0.992064\pi\) |
0.823419 | + | 0.567434i | \(0.192064\pi\) | |||||||
\(350\) | −30.4276 | + | 7.75914i | −1.62643 | + | 0.414744i | ||||
\(351\) | − | 9.47758i | − | 0.505876i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −7.73857 | − | 7.73857i | −0.411883 | − | 0.411883i | 0.470511 | − | 0.882394i | \(-0.344069\pi\) |
−0.882394 | + | 0.470511i | \(0.844069\pi\) | |||||||
\(354\) | 7.62853 | + | 5.54245i | 0.405452 | + | 0.294578i | ||||
\(355\) | 2.23550 | + | 1.73698i | 0.118648 | + | 0.0921891i | ||||
\(356\) | 5.12185 | + | 15.7634i | 0.271457 | + | 0.835460i | ||||
\(357\) | −0.228072 | + | 1.43999i | −0.0120708 | + | 0.0762123i | ||||
\(358\) | −1.66228 | + | 10.4952i | −0.0878544 | + | 0.554691i | ||||
\(359\) | −1.01178 | − | 3.11394i | −0.0533997 | − | 0.164347i | 0.920800 | − | 0.390035i | \(-0.127537\pi\) |
−0.974200 | + | 0.225688i | \(0.927537\pi\) | |||||||
\(360\) | 3.43172 | + | 27.3458i | 0.180868 | + | 1.44125i | ||||
\(361\) | 1.43940 | + | 1.04578i | 0.0757578 | + | 0.0550412i | ||||
\(362\) | 16.2374 | + | 16.2374i | 0.853418 | + | 0.853418i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 28.4079i | 1.48898i | ||||||||
\(365\) | −0.745404 | + | 3.89015i | −0.0390162 | + | 0.203620i | ||||
\(366\) | −4.28197 | + | 13.1785i | −0.223822 | + | 0.688853i | ||||
\(367\) | 16.2428 | + | 8.27615i | 0.847870 | + | 0.432011i | 0.823246 | − | 0.567686i | \(-0.192161\pi\) |
0.0246243 | + | 0.999697i | \(0.492161\pi\) | |||||||
\(368\) | 0.513632 | + | 0.0813513i | 0.0267749 | + | 0.00424073i | ||||
\(369\) | 7.36989 | − | 5.35454i | 0.383661 | − | 0.278746i | ||||
\(370\) | −41.3083 | − | 1.33219i | −2.14752 | − | 0.0692570i | ||||
\(371\) | 10.1225 | + | 3.28901i | 0.525536 | + | 0.170757i | ||||
\(372\) | 20.9697 | − | 3.32128i | 1.08723 | − | 0.172200i | ||||
\(373\) | −12.4917 | + | 12.4917i | −0.646795 | + | 0.646795i | −0.952217 | − | 0.305422i | \(-0.901202\pi\) |
0.305422 | + | 0.952217i | \(0.401202\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 6.47189 | + | 1.67874i | 0.334207 | + | 0.0866895i | ||||
\(376\) | −2.89879 | + | 3.98984i | −0.149494 | + | 0.205760i | ||||
\(377\) | 8.84972 | + | 17.3686i | 0.455784 | + | 0.894526i | ||||
\(378\) | −9.62060 | + | 18.8815i | −0.494831 | + | 0.971160i | ||||
\(379\) | −12.9685 | − | 17.8496i | −0.666146 | − | 0.916872i | 0.333519 | − | 0.942743i | \(-0.391764\pi\) |
−0.999665 | + | 0.0258717i | \(0.991764\pi\) | |||||||
\(380\) | −34.9163 | + | 10.1130i | −1.79117 | + | 0.518785i | ||||
\(381\) | 1.35080 | − | 0.438903i | 0.0692038 | − | 0.0224857i | ||||
\(382\) | −14.0294 | + | 7.14836i | −0.717809 | + | 0.365742i | ||||
\(383\) | −3.08015 | − | 19.4473i | −0.157389 | − | 0.993712i | −0.932311 | − | 0.361656i | \(-0.882211\pi\) |
0.774923 | − | 0.632056i | \(-0.217789\pi\) | |||||||
\(384\) | −12.0594 | −0.615402 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 2.44874 | 0.124638 | ||||||||
\(387\) | −2.29057 | − | 14.4621i | −0.116436 | − | 0.735148i | ||||
\(388\) | 50.3457 | − | 25.6524i | 2.55591 | − | 1.30230i | ||||
\(389\) | −16.2827 | + | 5.29057i | −0.825565 | + | 0.268242i | −0.691176 | − | 0.722686i | \(-0.742907\pi\) |
−0.134389 | + | 0.990929i | \(0.542907\pi\) | |||||||
\(390\) | 4.40823 | − | 8.00294i | 0.223219 | − | 0.405245i | ||||
\(391\) | 0.0821929 | + | 0.113129i | 0.00415667 | + | 0.00572117i | ||||
\(392\) | −0.708818 | + | 1.39113i | −0.0358007 | + | 0.0702629i | ||||
\(393\) | 0.848330 | + | 1.66494i | 0.0427926 | + | 0.0839852i | ||||
\(394\) | −35.0683 | + | 48.2673i | −1.76671 | + | 2.43167i | ||||
\(395\) | 3.29629 | − | 9.13221i | 0.165854 | − | 0.459491i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.24887 | − | 5.24887i | 0.263433 | − | 0.263433i | −0.563014 | − | 0.826447i | \(-0.690358\pi\) |
0.826447 | + | 0.563014i | \(0.190358\pi\) | |||||||
\(398\) | 7.82252 | − | 1.23896i | 0.392107 | − | 0.0621037i | ||||
\(399\) | −6.09337 | − | 1.97986i | −0.305050 | − | 0.0991168i | ||||
\(400\) | −6.49077 | + | 16.3153i | −0.324539 | + | 0.815767i | ||||
\(401\) | −9.93091 | + | 7.21523i | −0.495926 | + | 0.360311i | −0.807459 | − | 0.589924i | \(-0.799158\pi\) |
0.311533 | + | 0.950235i | \(0.399158\pi\) | |||||||
\(402\) | −5.98438 | − | 0.947832i | −0.298474 | − | 0.0472736i | ||||
\(403\) | 22.6803 | + | 11.5562i | 1.12979 | + | 0.575655i | ||||
\(404\) | 2.34267 | − | 7.21000i | 0.116552 | − | 0.358711i | ||||
\(405\) | −10.9347 | + | 7.41808i | −0.543351 | + | 0.368608i | ||||
\(406\) | − | 43.5854i | − | 2.16311i | ||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 1.86260 | + | 1.86260i | 0.0922125 | + | 0.0922125i | ||||
\(409\) | −21.6485 | − | 15.7286i | −1.07045 | − | 0.777727i | −0.0944563 | − | 0.995529i | \(-0.530111\pi\) |
−0.975993 | + | 0.217802i | \(0.930111\pi\) | |||||||
\(410\) | 18.6067 | − | 2.33503i | 0.918921 | − | 0.115319i | ||||
\(411\) | −3.05581 | − | 9.40481i | −0.150732 | − | 0.463905i | ||||
\(412\) | 1.05361 | − | 6.65226i | 0.0519079 | − | 0.327733i | ||||
\(413\) | 2.61782 | − | 16.5283i | 0.128815 | − | 0.813304i | ||||
\(414\) | 0.294135 | + | 0.905254i | 0.0144559 | + | 0.0444908i | ||||
\(415\) | 18.3960 | − | 2.30858i | 0.903024 | − | 0.113324i | ||||
\(416\) | −1.78651 | − | 1.29798i | −0.0875910 | − | 0.0636386i | ||||
\(417\) | −1.82697 | − | 1.82697i | −0.0894672 | − | 0.0894672i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 14.2401i | 0.695676i | 0.937555 | + | 0.347838i | \(0.113084\pi\) | ||||
−0.937555 | + | 0.347838i | \(0.886916\pi\) | |||||||
\(420\) | −11.1920 | + | 7.59265i | −0.546116 | + | 0.370483i | ||||
\(421\) | −2.13413 | + | 6.56818i | −0.104011 | + | 0.320113i | −0.989497 | − | 0.144553i | \(-0.953826\pi\) |
0.885486 | + | 0.464666i | \(0.153826\pi\) | |||||||
\(422\) | −53.8425 | − | 27.4341i | −2.62101 | − | 1.33547i | ||||
\(423\) | −2.75935 | − | 0.437039i | −0.134164 | − | 0.0212496i | ||||
\(424\) | 15.5574 | − | 11.3031i | 0.755532 | − | 0.548926i | ||||
\(425\) | −4.33630 | + | 1.86802i | −0.210342 | + | 0.0906123i | ||||
\(426\) | 1.75164 | + | 0.569142i | 0.0848672 | + | 0.0275750i | ||||
\(427\) | 24.2888 | − | 3.84696i | 1.17542 | − | 0.186168i | ||||
\(428\) | 11.5209 | − | 11.5209i | 0.556882 | − | 0.556882i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 10.2335 | − | 28.3515i | 0.493505 | − | 1.36723i | ||||
\(431\) | 4.19638 | − | 5.77582i | 0.202132 | − | 0.278211i | −0.695902 | − | 0.718137i | \(-0.744995\pi\) |
0.898034 | + | 0.439926i | \(0.144995\pi\) | |||||||
\(432\) | 5.37966 | + | 10.5582i | 0.258829 | + | 0.507981i | ||||
\(433\) | −7.62822 | + | 14.9712i | −0.366589 | + | 0.719471i | −0.998453 | − | 0.0556084i | \(-0.982290\pi\) |
0.631864 | + | 0.775079i | \(0.282290\pi\) | |||||||
\(434\) | −33.4538 | − | 46.0451i | −1.60583 | − | 2.21024i | ||||
\(435\) | −4.47752 | + | 8.12873i | −0.214681 | + | 0.389743i | ||||
\(436\) | −12.0089 | + | 3.90194i | −0.575124 | + | 0.186869i | ||||
\(437\) | −0.547531 | + | 0.278981i | −0.0261920 | + | 0.0133455i | ||||
\(438\) | 0.403114 | + | 2.54516i | 0.0192616 | + | 0.121613i | ||||
\(439\) | −0.772934 | −0.0368901 | −0.0184451 | − | 0.999830i | \(-0.505872\pi\) | ||||
−0.0184451 | + | 0.999830i | \(0.505872\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.884459 | −0.0421171 | ||||||||
\(442\) | 1.00934 | + | 6.37271i | 0.0480093 | + | 0.303119i | ||||
\(443\) | 16.7419 | − | 8.53040i | 0.795430 | − | 0.405292i | −0.00853887 | − | 0.999964i | \(-0.502718\pi\) |
0.803968 | + | 0.594672i | \(0.202718\pi\) | |||||||
\(444\) | −16.9293 | + | 5.50067i | −0.803430 | + | 0.261050i | ||||
\(445\) | −9.08715 | + | 2.63196i | −0.430772 | + | 0.124767i | ||||
\(446\) | −28.0106 | − | 38.5533i | −1.32634 | − | 1.82555i | ||||
\(447\) | −2.29269 | + | 4.49965i | −0.108440 | + | 0.212826i | ||||
\(448\) | 10.4738 | + | 20.5560i | 0.494840 | + | 0.971179i | ||||
\(449\) | −0.419317 | + | 0.577140i | −0.0197888 | + | 0.0272369i | −0.818797 | − | 0.574084i | \(-0.805358\pi\) |
0.799008 | + | 0.601320i | \(0.205358\pi\) | |||||||
\(450\) | −32.0014 | + | 2.97190i | −1.50856 | + | 0.140097i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 30.8954 | − | 30.8954i | 1.45320 | − | 1.45320i | ||||
\(453\) | −7.04792 | + | 1.11628i | −0.331140 | + | 0.0524474i | ||||
\(454\) | 2.36655 | + | 0.768940i | 0.111068 | + | 0.0360882i | ||||
\(455\) | −16.2065 | − | 0.522656i | −0.759772 | − | 0.0245025i | ||||
\(456\) | −9.36493 | + | 6.80402i | −0.438553 | + | 0.318628i | ||||
\(457\) | 19.1068 | + | 3.02622i | 0.893780 | + | 0.141561i | 0.586396 | − | 0.810025i | \(-0.300546\pi\) |
0.307384 | + | 0.951586i | \(0.400546\pi\) | |||||||
\(458\) | −0.220753 | − | 0.112479i | −0.0103151 | − | 0.00525581i | ||||
\(459\) | −0.984632 | + | 3.03039i | −0.0459587 | + | 0.141446i | ||||
\(460\) | −0.244113 | + | 1.27399i | −0.0113818 | + | 0.0594000i | ||||
\(461\) | 36.5277i | 1.70126i | 0.525761 | + | 0.850632i | \(0.323781\pi\) | ||||
−0.525761 | + | 0.850632i | \(0.676219\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −17.1422 | − | 17.1422i | −0.796664 | − | 0.796664i | 0.185904 | − | 0.982568i | \(-0.440479\pi\) |
−0.982568 | + | 0.185904i | \(0.940479\pi\) | |||||||
\(464\) | −19.7175 | − | 14.3256i | −0.915361 | − | 0.665049i | ||||
\(465\) | 1.50896 | + | 12.0242i | 0.0699762 | + | 0.557608i | ||||
\(466\) | −16.0867 | − | 49.5097i | −0.745201 | − | 2.29349i | ||||
\(467\) | −2.31832 | + | 14.6373i | −0.107279 | + | 0.677333i | 0.874172 | + | 0.485617i | \(0.161405\pi\) |
−0.981451 | + | 0.191715i | \(0.938595\pi\) | |||||||
\(468\) | −4.54837 | + | 28.7173i | −0.210249 | + | 1.32746i | ||||
\(469\) | 3.32281 | + | 10.2266i | 0.153433 | + | 0.472219i | ||||
\(470\) | −4.54132 | − | 3.52860i | −0.209476 | − | 0.162762i | ||||
\(471\) | 0.658714 | + | 0.478584i | 0.0303519 | + | 0.0220520i | ||||
\(472\) | −21.3791 | − | 21.3791i | −0.984051 | − | 0.984051i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | − | 6.31640i | − | 0.290122i | ||||||
\(475\) | −5.12699 | − | 20.1056i | −0.235242 | − | 0.922507i | ||||
\(476\) | 2.95131 | − | 9.08320i | 0.135273 | − | 0.416328i | ||||
\(477\) | 9.70618 | + | 4.94555i | 0.444416 | + | 0.226441i | ||||
\(478\) | −20.8157 | − | 3.29689i | −0.952090 | − | 0.150796i | ||||
\(479\) | −22.3176 | + | 16.2146i | −1.01971 | + | 0.740866i | −0.966224 | − | 0.257702i | \(-0.917035\pi\) |
−0.0534905 | + | 0.998568i | \(0.517035\pi\) | |||||||
\(480\) | 0.0338868 | − | 1.05076i | 0.00154671 | − | 0.0479603i | ||||
\(481\) | −20.2972 | − | 6.59495i | −0.925471 | − | 0.300704i | ||||
\(482\) | −25.5862 | + | 4.05246i | −1.16542 | + | 0.184585i | ||||
\(483\) | −0.161663 | + | 0.161663i | −0.00735592 | + | 0.00735592i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 13.7082 | + | 29.1938i | 0.622459 | + | 1.32562i | ||||
\(486\) | −19.5268 | + | 26.8763i | −0.885752 | + | 1.21913i | ||||
\(487\) | 17.6583 | + | 34.6563i | 0.800174 | + | 1.57043i | 0.821193 | + | 0.570650i | \(0.193309\pi\) |
−0.0210198 | + | 0.999779i | \(0.506691\pi\) | |||||||
\(488\) | 20.1710 | − | 39.5879i | 0.913099 | − | 1.79206i | ||||
\(489\) | 8.06478 | + | 11.1002i | 0.364702 | + | 0.501969i | ||||
\(490\) | −1.59477 | − | 0.878440i | −0.0720442 | − | 0.0396839i | ||||
\(491\) | −17.8811 | + | 5.80992i | −0.806962 | + | 0.262198i | −0.683311 | − | 0.730128i | \(-0.739461\pi\) |
−0.123652 | + | 0.992326i | \(0.539461\pi\) | |||||||
\(492\) | 7.19639 | − | 3.66674i | 0.324438 | − | 0.165310i | ||||
\(493\) | −1.02520 | − | 6.47287i | −0.0461728 | − | 0.291523i | ||||
\(494\) | −28.3541 | −1.27571 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −31.8258 | −1.42902 | ||||||||
\(497\) | −0.511323 | − | 3.22837i | −0.0229360 | − | 0.144812i | ||||
\(498\) | 10.7472 | − | 5.47599i | 0.481595 | − | 0.245385i | ||||
\(499\) | −4.98327 | + | 1.61916i | −0.223082 | + | 0.0724837i | −0.418425 | − | 0.908251i | \(-0.637418\pi\) |
0.195343 | + | 0.980735i | \(0.437418\pi\) | |||||||
\(500\) | −40.1537 | − | 17.4938i | −1.79573 | − | 0.782348i | ||||
\(501\) | 5.04778 | + | 6.94768i | 0.225518 | + | 0.310399i | ||||
\(502\) | 10.3734 | − | 20.3590i | 0.462990 | − | 0.908668i | ||||
\(503\) | −5.98921 | − | 11.7545i | −0.267046 | − | 0.524106i | 0.718076 | − | 0.695965i | \(-0.245023\pi\) |
−0.985122 | + | 0.171858i | \(0.945023\pi\) | |||||||
\(504\) | 18.7037 | − | 25.7434i | 0.833127 | − | 1.14670i | ||||
\(505\) | 4.07015 | + | 1.46913i | 0.181119 | + | 0.0653754i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −2.16111 | + | 2.16111i | −0.0959784 | + | 0.0959784i | ||||
\(508\) | −9.18967 | + | 1.45550i | −0.407726 | + | 0.0645774i | ||||
\(509\) | −5.32193 | − | 1.72920i | −0.235890 | − | 0.0766454i | 0.188686 | − | 0.982037i | \(-0.439577\pi\) |
−0.424577 | + | 0.905392i | \(0.639577\pi\) | |||||||
\(510\) | −2.24093 | + | 2.10091i | −0.0992300 | + | 0.0930297i | ||||
\(511\) | 3.69980 | − | 2.68806i | 0.163669 | − | 0.118913i | ||||
\(512\) | 35.0853 | + | 5.55696i | 1.55056 | + | 0.245585i | ||||
\(513\) | −12.4763 | − | 6.35698i | −0.550841 | − | 0.280667i | ||||
\(514\) | −13.8614 | + | 42.6611i | −0.611401 | + | 1.88170i | ||||
\(515\) | 3.77568 | + | 0.723470i | 0.166376 | + | 0.0318799i | ||||
\(516\) | − | 12.9820i | − | 0.571500i | ||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 33.7421 | + | 33.7421i | 1.48254 | + | 1.48254i | ||||
\(519\) | 10.7897 | + | 7.83915i | 0.473614 | + | 0.344101i | ||||
\(520\) | −17.9748 | + | 23.1337i | −0.788249 | + | 1.01448i | ||||
\(521\) | 5.89515 | + | 18.1434i | 0.258271 | + | 0.794877i | 0.993168 | + | 0.116697i | \(0.0372308\pi\) |
−0.734896 | + | 0.678179i | \(0.762769\pi\) | |||||||
\(522\) | 6.97844 | − | 44.0601i | 0.305438 | − | 1.92846i | ||||
\(523\) | −5.49061 | + | 34.6664i | −0.240088 | + | 1.51585i | 0.513261 | + | 0.858233i | \(0.328437\pi\) |
−0.753349 | + | 0.657621i | \(0.771563\pi\) | |||||||
\(524\) | −3.78263 | − | 11.6417i | −0.165245 | − | 0.508572i | ||||
\(525\) | −4.12564 | − | 6.52467i | −0.180058 | − | 0.284760i | ||||
\(526\) | −33.0999 | − | 24.0485i | −1.44322 | − | 1.04856i | ||||
\(527\) | −6.05128 | − | 6.05128i | −0.263598 | − | 0.263598i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 22.9781i | − | 0.999047i | ||||||
\(530\) | 12.5893 | + | 18.5574i | 0.546845 | + | 0.806084i | ||||
\(531\) | 5.29267 | − | 16.2892i | 0.229682 | − | 0.706890i | ||||
\(532\) | 37.3961 | + | 19.0542i | 1.62132 | + | 0.826106i | ||||
\(533\) | 9.56421 | + | 1.51482i | 0.414272 | + | 0.0656143i | ||||
\(534\) | −4.97940 | + | 3.61775i | −0.215480 | + | 0.156555i | ||||
\(535\) | 6.36060 | + | 6.78453i | 0.274993 | + | 0.293321i | ||||
\(536\) | 18.4767 | + | 6.00346i | 0.798074 | + | 0.259310i | ||||
\(537\) | −2.58011 | + | 0.408650i | −0.111340 | + | 0.0176345i | ||||
\(538\) | 48.9484 | − | 48.9484i | 2.11031 | − | 2.11031i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −26.7550 | + | 12.5631i | −1.15135 | + | 0.540628i | ||||
\(541\) | 1.49345 | − | 2.05556i | 0.0642084 | − | 0.0883752i | −0.775705 | − | 0.631095i | \(-0.782606\pi\) |
0.839914 | + | 0.542720i | \(0.182606\pi\) | |||||||
\(542\) | −32.7803 | − | 64.3350i | −1.40803 | − | 2.76342i | ||||
\(543\) | −2.56286 | + | 5.02989i | −0.109983 | + | 0.215853i | ||||
\(544\) | 0.436376 | + | 0.600621i | 0.0187095 | + | 0.0257514i | ||||
\(545\) | −2.00508 | − | 6.92280i | −0.0858884 | − | 0.296540i | ||||
\(546\) | −10.0328 | + | 3.25984i | −0.429363 | + | 0.139508i | ||||
\(547\) | −13.2087 | + | 6.73017i | −0.564764 | + | 0.287761i | −0.712969 | − | 0.701195i | \(-0.752650\pi\) |
0.148206 | + | 0.988957i | \(0.452650\pi\) | |||||||
\(548\) | 10.1337 | + | 63.9819i | 0.432892 | + | 2.73317i | ||||
\(549\) | 25.1693 | 1.07420 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 28.7998 | 1.22691 | ||||||||
\(552\) | 0.0646180 | + | 0.407982i | 0.00275033 | + | 0.0173649i | ||||
\(553\) | −9.98792 | + | 5.08910i | −0.424730 | + | 0.216411i | ||||
\(554\) | 28.7334 | − | 9.33604i | 1.22076 | − | 0.396650i | ||||
\(555\) | −2.82662 | − | 9.75926i | −0.119983 | − | 0.414258i | ||||
\(556\) | 9.94853 | + | 13.6930i | 0.421912 | + | 0.580712i | ||||
\(557\) | −5.79353 | + | 11.3704i | −0.245480 | + | 0.481781i | −0.980565 | − | 0.196194i | \(-0.937142\pi\) |
0.735086 | + | 0.677974i | \(0.237142\pi\) | |||||||
\(558\) | −26.4459 | − | 51.9029i | −1.11954 | − | 2.19723i | ||||
\(559\) | 9.14861 | − | 12.5920i | 0.386945 | − | 0.532584i | ||||
\(560\) | 18.3510 | − | 8.61687i | 0.775470 | − | 0.364129i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −37.6272 | + | 37.6272i | −1.58721 | + | 1.58721i | ||||
\(563\) | 33.1190 | − | 5.24553i | 1.39580 | − | 0.221073i | 0.587204 | − | 0.809439i | \(-0.300229\pi\) |
0.808594 | + | 0.588367i | \(0.200229\pi\) | |||||||
\(564\) | −2.35572 | − | 0.765421i | −0.0991939 | − | 0.0322300i | ||||
\(565\) | 17.0572 | + | 18.1940i | 0.717601 | + | 0.765429i | ||||
\(566\) | −53.5250 | + | 38.8882i | −2.24982 | + | 1.63459i | ||||
\(567\) | 15.0682 | + | 2.38657i | 0.632805 | + | 0.100226i | ||||
\(568\) | −5.26186 | − | 2.68105i | −0.220783 | − | 0.112494i | ||||
\(569\) | −2.57065 | + | 7.91165i | −0.107767 | + | 0.331674i | −0.990370 | − | 0.138446i | \(-0.955789\pi\) |
0.882603 | + | 0.470120i | \(0.155789\pi\) | |||||||
\(570\) | −7.57829 | − | 11.1709i | −0.317419 | − | 0.467896i | ||||
\(571\) | 45.2601i | 1.89408i | 0.321118 | + | 0.947039i | \(0.395941\pi\) | ||||
−0.321118 | + | 0.947039i | \(0.604059\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −2.73710 | − | 2.73710i | −0.114344 | − | 0.114344i | ||||
\(574\) | −17.5164 | − | 12.7264i | −0.731121 | − | 0.531190i | ||||
\(575\) | −0.722310 | − | 0.162704i | −0.0301224 | − | 0.00678522i | ||||
\(576\) | 7.29667 | + | 22.4568i | 0.304028 | + | 0.935701i | ||||
\(577\) | −3.58768 | + | 22.6517i | −0.149357 | + | 0.943005i | 0.793200 | + | 0.608961i | \(0.208413\pi\) |
−0.942558 | + | 0.334044i | \(0.891587\pi\) | |||||||
\(578\) | −6.12986 | + | 38.7024i | −0.254969 | + | 1.60981i | ||||
\(579\) | 0.186025 | + | 0.572526i | 0.00773094 | + | 0.0237934i | ||||
\(580\) | 37.3002 | − | 48.0056i | 1.54881 | − | 1.99332i | ||||
\(581\) | −17.3180 | − | 12.5823i | −0.718472 | − | 0.522001i | ||||
\(582\) | 14.8369 | + | 14.8369i | 0.615007 | + | 0.615007i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | − | 8.26259i | − | 0.341908i | ||||||
\(585\) | −16.2993 | − | 3.12316i | −0.673894 | − | 0.129127i | ||||
\(586\) | −15.1186 | + | 46.5303i | −0.624545 | + | 1.92215i | ||||
\(587\) | 8.99622 | + | 4.58380i | 0.371314 | + | 0.189194i | 0.629683 | − | 0.776853i | \(-0.283185\pi\) |
−0.258369 | + | 0.966046i | \(0.583185\pi\) | |||||||
\(588\) | −0.774512 | − | 0.122671i | −0.0319403 | − | 0.00505885i | ||||
\(589\) | 30.4251 | − | 22.1051i | 1.25365 | − | 0.910827i | ||||
\(590\) | 25.7215 | − | 24.1143i | 1.05894 | − | 0.992772i | ||||
\(591\) | −13.9492 | − | 4.53236i | −0.573792 | − | 0.186436i | ||||
\(592\) | 26.3548 | − | 4.17419i | 1.08318 | − | 0.171558i | ||||
\(593\) | −9.47168 | + | 9.47168i | −0.388955 | + | 0.388955i | −0.874315 | − | 0.485359i | \(-0.838689\pi\) |
0.485359 | + | 0.874315i | \(0.338689\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.12760 | + | 1.85082i | 0.210211 | + | 0.0758761i | ||||
\(596\) | 19.4451 | − | 26.7639i | 0.796503 | − | 1.09629i | ||||
\(597\) | 0.883934 | + | 1.73482i | 0.0361770 | + | 0.0710014i | ||||
\(598\) | −0.459343 | + | 0.901512i | −0.0187839 | + | 0.0368656i | ||||
\(599\) | 23.5167 | + | 32.3680i | 0.960866 | + | 1.32252i | 0.946528 | + | 0.322622i | \(0.104564\pi\) |
0.0143383 | + | 0.999897i | \(0.495436\pi\) | |||||||
\(600\) | −13.9183 | − | 0.898662i | −0.568213 | − | 0.0366877i | ||||
\(601\) | −34.5805 | + | 11.2359i | −1.41057 | + | 0.458322i | −0.912593 | − | 0.408869i | \(-0.865923\pi\) |
−0.497976 | + | 0.867191i | \(0.665923\pi\) | |||||||
\(602\) | −31.0081 | + | 15.7994i | −1.26380 | + | 0.643937i | ||||
\(603\) | 1.72163 | + | 10.8700i | 0.0701103 | + | 0.442659i | ||||
\(604\) | 46.7449 | 1.90202 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 2.81517 | 0.114358 | ||||||||
\(607\) | 3.89991 | + | 24.6231i | 0.158293 | + | 0.999420i | 0.931096 | + | 0.364774i | \(0.118854\pi\) |
−0.772803 | + | 0.634646i | \(0.781146\pi\) | |||||||
\(608\) | −2.90694 | + | 1.48116i | −0.117892 | + | 0.0600689i | ||||
\(609\) | 10.1905 | − | 3.31108i | 0.412938 | − | 0.134172i | ||||
\(610\) | 45.3827 | + | 24.9980i | 1.83749 | + | 1.01214i | ||||
\(611\) | −1.74555 | − | 2.40254i | −0.0706174 | − | 0.0971965i | ||||
\(612\) | 4.43777 | − | 8.70960i | 0.179386 | − | 0.352065i | ||||
\(613\) | 5.30759 | + | 10.4167i | 0.214372 | + | 0.420728i | 0.973003 | − | 0.230792i | \(-0.0741317\pi\) |
−0.758632 | + | 0.651520i | \(0.774132\pi\) | |||||||
\(614\) | 29.7088 | − | 40.8907i | 1.19895 | − | 1.65021i | ||||
\(615\) | 1.95945 | + | 4.17295i | 0.0790126 | + | 0.168270i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 6.18386 | − | 6.18386i | 0.248953 | − | 0.248953i | −0.571588 | − | 0.820541i | \(-0.693672\pi\) |
0.820541 | + | 0.571588i | \(0.193672\pi\) | |||||||
\(618\) | 2.47027 | − | 0.391253i | 0.0993689 | − | 0.0157385i | ||||
\(619\) | −1.04489 | − | 0.339504i | −0.0419975 | − | 0.0136458i | 0.287943 | − | 0.957648i | \(-0.407029\pi\) |
−0.329940 | + | 0.944002i | \(0.607029\pi\) | |||||||
\(620\) | 2.55884 | − | 79.3444i | 0.102766 | − | 3.18655i | ||||
\(621\) | −0.404237 | + | 0.293695i | −0.0162215 | + | 0.0117856i | ||||
\(622\) | −55.9309 | − | 8.85859i | −2.24263 | − | 0.355197i | ||||
\(623\) | 9.73251 | + | 4.95896i | 0.389925 | + | 0.198677i | ||||
\(624\) | −1.82284 | + | 5.61013i | −0.0729721 | + | 0.224585i | ||||
\(625\) | 10.7189 | − | 22.5855i | 0.428755 | − | 0.903421i | ||||
\(626\) | − | 34.1000i | − | 1.36291i | ||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.77153 | − | 3.77153i | −0.150501 | − | 0.150501i | ||||
\(629\) | 5.80472 | + | 4.21737i | 0.231449 | + | 0.168158i | ||||
\(630\) | 29.3017 | + | 22.7673i | 1.16741 | + | 0.907072i | ||||
\(631\) | −1.00765 | − | 3.10124i | −0.0401140 | − | 0.123458i | 0.928994 | − | 0.370095i | \(-0.120675\pi\) |
−0.969108 | + | 0.246636i | \(0.920675\pi\) | |||||||
\(632\) | −3.16827 | + | 20.0037i | −0.126027 | + | 0.795703i | ||||
\(633\) | 2.32393 | − | 14.6727i | 0.0923680 | − | 0.583188i | ||||
\(634\) | −22.1755 | − | 68.2493i | −0.880703 | − | 2.71053i | ||||
\(635\) | −0.661278 | − | 5.26942i | −0.0262420 | − | 0.209110i | ||||
\(636\) | 7.81368 | + | 5.67697i | 0.309833 | + | 0.225107i | ||||
\(637\) | −0.664797 | − | 0.664797i | −0.0263402 | − | 0.0263402i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 3.34540i | − | 0.132342i | ||||||
\(640\) | −8.48573 | + | 44.2858i | −0.335428 | + | 1.75055i | ||||
\(641\) | −2.75407 | + | 8.47616i | −0.108779 | + | 0.334788i | −0.990599 | − | 0.136799i | \(-0.956319\pi\) |
0.881820 | + | 0.471587i | \(0.156319\pi\) | |||||||
\(642\) | 5.39084 | + | 2.74677i | 0.212760 | + | 0.108406i | ||||
\(643\) | −36.6439 | − | 5.80382i | −1.44509 | − | 0.228880i | −0.615893 | − | 0.787830i | \(-0.711204\pi\) |
−0.829202 | + | 0.558950i | \(0.811204\pi\) | |||||||
\(644\) | 1.21165 | − | 0.880315i | 0.0477457 | − | 0.0346893i | ||||
\(645\) | 7.40613 | + | 0.238846i | 0.291616 | + | 0.00940457i | ||||
\(646\) | 9.06602 | + | 2.94573i | 0.356698 | + | 0.115898i | ||||
\(647\) | −21.7803 | + | 3.44966i | −0.856273 | + | 0.135620i | −0.569110 | − | 0.822262i | \(-0.692712\pi\) |
−0.287163 | + | 0.957882i | \(0.592712\pi\) | |||||||
\(648\) | 19.4905 | − | 19.4905i | 0.765657 | − | 0.765657i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −26.2874 | − | 21.8198i | −1.03108 | − | 0.855842i | ||||
\(651\) | 8.22416 | − | 11.3196i | 0.322330 | − | 0.443649i | ||||
\(652\) | −40.8051 | − | 80.0844i | −1.59805 | − | 3.13635i | ||||
\(653\) | 22.0554 | − | 43.2861i | 0.863093 | − | 1.69392i | 0.154861 | − | 0.987936i | \(-0.450507\pi\) |
0.708232 | − | 0.705980i | \(-0.249493\pi\) | |||||||
\(654\) | −2.75608 | − | 3.79342i | −0.107771 | − | 0.148335i | ||||
\(655\) | 6.71113 | − | 1.94378i | 0.262225 | − | 0.0759496i | ||||
\(656\) | −11.5145 | + | 3.74130i | −0.449567 | + | 0.146073i | ||||
\(657\) | 4.17048 | − | 2.12497i | 0.162706 | − | 0.0829028i | ||||
\(658\) | 1.03873 | + | 6.55831i | 0.0404941 | + | 0.255669i | ||||
\(659\) | 47.3029 | 1.84266 | 0.921329 | − | 0.388783i | \(-0.127104\pi\) | ||||
0.921329 | + | 0.388783i | \(0.127104\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −26.7159 | −1.03913 | −0.519564 | − | 0.854432i | \(-0.673906\pi\) | ||||
−0.519564 | + | 0.854432i | \(0.673906\pi\) | |||||||
\(662\) | −0.831711 | − | 5.25121i | −0.0323254 | − | 0.204094i | ||||
\(663\) | −1.41329 | + | 0.720107i | −0.0548876 | + | 0.0279666i | ||||
\(664\) | −36.7826 | + | 11.9514i | −1.42744 | + | 0.463804i | ||||
\(665\) | −11.5583 | + | 20.9836i | −0.448213 | + | 0.813710i | ||||
\(666\) | 28.7072 | + | 39.5121i | 1.11238 | + | 1.53106i | ||||
\(667\) | 0.466563 | − | 0.915682i | 0.0180654 | − | 0.0354553i | ||||
\(668\) | −25.5401 | − | 50.1252i | −0.988175 | − | 1.93940i | ||||
\(669\) | 6.88603 | − | 9.47781i | 0.266229 | − | 0.366433i | ||||
\(670\) | −7.69172 | + | 21.3095i | −0.297157 | + | 0.823260i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −0.858297 | + | 0.858297i | −0.0331095 | + | 0.0331095i | ||||
\(673\) | −13.0723 | + | 2.07046i | −0.503902 | + | 0.0798102i | −0.403210 | − | 0.915107i | \(-0.632106\pi\) |
−0.100692 | + | 0.994918i | \(0.532106\pi\) | |||||||
\(674\) | −4.16900 | − | 1.35459i | −0.160584 | − | 0.0521769i | ||||
\(675\) | −6.67489 | − | 15.4947i | −0.256917 | − | 0.596390i | ||||
\(676\) | 16.1973 | − | 11.7681i | 0.622975 | − | 0.452618i | ||||
\(677\) | −33.9668 | − | 5.37982i | −1.30545 | − | 0.206763i | −0.535321 | − | 0.844649i | \(-0.679809\pi\) |
−0.770131 | + | 0.637885i | \(0.779809\pi\) | |||||||
\(678\) | 14.4566 | + | 7.36599i | 0.555201 | + | 0.282889i | ||||
\(679\) | 11.5070 | − | 35.4150i | 0.441600 | − | 1.35910i | ||||
\(680\) | 8.15069 | − | 5.52941i | 0.312565 | − | 0.212043i | ||||
\(681\) | 0.611726i | 0.0234414i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 27.9495 | + | 27.9495i | 1.06946 | + | 1.06946i | 0.997401 | + | 0.0720555i | \(0.0229559\pi\) |
0.0720555 | + | 0.997401i | \(0.477044\pi\) | |||||||
\(684\) | 34.7526 | + | 25.2493i | 1.32880 | + | 0.965429i | ||||
\(685\) | −36.6877 | + | 4.60407i | −1.40176 | + | 0.175912i | ||||
\(686\) | 14.2346 | + | 43.8095i | 0.543478 | + | 1.67265i | ||||
\(687\) | 0.00952805 | − | 0.0601578i | 0.000363518 | − | 0.00229516i | ||||
\(688\) | −3.04425 | + | 19.2206i | −0.116061 | + | 0.732779i | ||||
\(689\) | 3.57830 | + | 11.0129i | 0.136322 | + | 0.419557i | ||||
\(690\) | −0.477945 | + | 0.0599790i | −0.0181950 | + | 0.00228336i | ||||
\(691\) | −2.64892 | − | 1.92455i | −0.100770 | − | 0.0732134i | 0.536259 | − | 0.844053i | \(-0.319837\pi\) |
−0.637029 | + | 0.770840i | \(0.719837\pi\) | |||||||
\(692\) | −61.7773 | − | 61.7773i | −2.34842 | − | 2.34842i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 52.2333i | − | 1.98275i | ||||||
\(695\) | −7.99478 | + | 5.42364i | −0.303259 | + | 0.205730i | ||||
\(696\) | 5.98226 | − | 18.4115i | 0.226757 | − | 0.697886i | ||||
\(697\) | −2.90071 | − | 1.47799i | −0.109872 | − | 0.0559827i | ||||
\(698\) | 25.6035 | + | 4.05519i | 0.969106 | + | 0.153491i | ||||
\(699\) | 10.3535 | − | 7.52228i | 0.391606 | − | 0.284519i | ||||
\(700\) | 20.0072 | + | 46.4433i | 0.756199 | + | 1.75539i | ||||
\(701\) | 5.55696 | + | 1.80557i | 0.209883 | + | 0.0681953i | 0.412072 | − | 0.911151i | \(-0.364805\pi\) |
−0.202188 | + | 0.979347i | \(0.564805\pi\) | |||||||
\(702\) | −22.7712 | + | 3.60661i | −0.859445 | + | 0.136123i | ||||
\(703\) | −22.2957 | + | 22.2957i | −0.840897 | + | 0.840897i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.480009 | − | 1.32984i | 0.0180782 | − | 0.0500847i | ||||
\(706\) | −15.6482 | + | 21.5379i | −0.588927 | + | 0.810588i | ||||
\(707\) | −2.26817 | − | 4.45154i | −0.0853034 | − | 0.167417i | ||||
\(708\) | 6.89398 | − | 13.5302i | 0.259092 | − | 0.508496i | ||||
\(709\) | −23.5016 | − | 32.3472i | −0.882623 | − | 1.21483i | −0.975688 | − | 0.219166i | \(-0.929666\pi\) |
0.0930647 | − | 0.995660i | \(-0.470334\pi\) | |||||||
\(710\) | 3.32263 | − | 6.03209i | 0.124696 | − | 0.226380i | ||||
\(711\) | −10.9115 | + | 3.54537i | −0.409214 | + | 0.132962i | ||||
\(712\) | 17.5841 | − | 8.95956i | 0.658993 | − | 0.335774i | ||||
\(713\) | −0.209933 | − | 1.32547i | −0.00786207 | − | 0.0496391i | ||||
\(714\) | 3.54657 | 0.132727 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 17.1125 | 0.639523 | ||||||||
\(717\) | −0.810496 | − | 5.11727i | −0.0302685 | − | 0.191108i | ||||
\(718\) | −7.09665 | + | 3.61592i | −0.264845 | + | 0.134945i | ||||
\(719\) | −19.2106 | + | 6.24190i | −0.716434 | + | 0.232784i | −0.644477 | − | 0.764624i | \(-0.722925\pi\) |
−0.0719577 | + | 0.997408i | \(0.522925\pi\) | |||||||
\(720\) | 19.9305 | − | 5.77256i | 0.742765 | − | 0.215131i | ||||
\(721\) | −2.60896 | − | 3.59093i | −0.0971629 | − | 0.133733i | ||||
\(722\) | 1.96489 | − | 3.85632i | 0.0731258 | − | 0.143517i | ||||
\(723\) | −2.89121 | − | 5.67432i | −0.107525 | − | 0.211030i | ||||
\(724\) | 21.7365 | − | 29.9177i | 0.807831 | − | 1.11188i | ||||
\(725\) | 26.7006 | + | 22.1627i | 0.991634 | + | 0.823103i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 26.5141 | − | 26.5141i | 0.983354 | − | 0.983354i | −0.0165102 | − | 0.999864i | \(-0.505256\pi\) |
0.999864 | + | 0.0165102i | \(0.00525558\pi\) | |||||||
\(728\) | 33.4083 | − | 5.29135i | 1.23819 | − | 0.196111i | ||||
\(729\) | 9.09289 | + | 2.95446i | 0.336774 | + | 0.109424i | ||||
\(730\) | 9.63030 | + | 0.310576i | 0.356433 | + | 0.0114949i | ||||
\(731\) | −4.23339 | + | 3.07574i | −0.156578 | + | 0.113760i | ||||
\(732\) | 22.0405 | + | 3.49087i | 0.814639 | + | 0.129026i | ||||
\(733\) | −28.4208 | − | 14.4811i | −1.04975 | − | 0.534873i | −0.158015 | − | 0.987437i | \(-0.550510\pi\) |
−0.891732 | + | 0.452563i | \(0.850510\pi\) | |||||||
\(734\) | 13.7035 | − | 42.1752i | 0.505807 | − | 1.55671i | ||||
\(735\) | 0.0842324 | − | 0.439597i | 0.00310696 | − | 0.0162148i | ||||
\(736\) | 0.116420i | 0.00429131i | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −15.6696 | − | 15.6696i | −0.576805 | − | 0.576805i | ||||
\(739\) | −31.6871 | − | 23.0220i | −1.16563 | − | 0.846879i | −0.175150 | − | 0.984542i | \(-0.556041\pi\) |
−0.990479 | + | 0.137662i | \(0.956041\pi\) | |||||||
\(740\) | 8.28765 | + | 66.0404i | 0.304660 | + | 2.42769i | ||||
\(741\) | −2.15400 | − | 6.62932i | −0.0791290 | − | 0.243534i | ||||
\(742\) | 4.05027 | − | 25.5724i | 0.148690 | − | 0.938793i | ||||
\(743\) | −1.06140 | + | 6.70139i | −0.0389389 | + | 0.245850i | −0.999478 | − | 0.0322930i | \(-0.989719\pi\) |
0.960540 | + | 0.278143i | \(0.0897190\pi\) | |||||||
\(744\) | −7.81179 | − | 24.0422i | −0.286394 | − | 0.881430i | ||||
\(745\) | 14.9109 | + | 11.5857i | 0.546291 | + | 0.424467i | ||||
\(746\) | 34.7666 | + | 25.2594i | 1.27290 | + | 0.924814i | ||||
\(747\) | −15.4921 | − | 15.4921i | −0.566826 | − | 0.566826i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 10.7374i | − | 0.392337i | ||||||
\(750\) | 1.57058 | − | 16.1885i | 0.0573496 | − | 0.591119i | ||||
\(751\) | −6.82703 | + | 21.0114i | −0.249122 | + | 0.766718i | 0.745809 | + | 0.666160i | \(0.232063\pi\) |
−0.994931 | + | 0.100559i | \(0.967937\pi\) | |||||||
\(752\) | 3.30830 | + | 1.68567i | 0.120641 | + | 0.0614699i | ||||
\(753\) | 5.54808 | + | 0.878729i | 0.202183 | + | 0.0320227i | ||||
\(754\) | 38.3627 | − | 27.8722i | 1.39709 | − | 1.01504i | ||||
\(755\) | −0.860027 | + | 26.6676i | −0.0312996 | + | 0.970535i | ||||
\(756\) | 32.4565 | + | 10.5458i | 1.18043 | + | 0.383546i | ||||
\(757\) | −33.0425 | + | 5.23341i | −1.20095 | + | 0.190212i | −0.724678 | − | 0.689087i | \(-0.758012\pi\) |
−0.476271 | + | 0.879299i | \(0.658012\pi\) | |||||||
\(758\) | −37.9511 | + | 37.9511i | −1.37845 | + | 1.37845i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 18.3967 | + | 39.1787i | 0.667320 | + | 1.42116i | ||||
\(761\) | 15.3149 | − | 21.0791i | 0.555163 | − | 0.764117i | −0.435538 | − | 0.900170i | \(-0.643442\pi\) |
0.990701 | + | 0.136054i | \(0.0434419\pi\) | |||||||
\(762\) | −1.56856 | − | 3.07848i | −0.0568231 | − | 0.111522i | ||||
\(763\) | −3.77785 | + | 7.41445i | −0.136767 | + | 0.268421i | ||||
\(764\) | 14.9045 | + | 20.5143i | 0.539227 | + | 0.742182i | ||||
\(765\) | 4.88712 | + | 2.69196i | 0.176694 | + | 0.0973278i | ||||
\(766\) | −45.5528 | + | 14.8010i | −1.64589 | + | 0.534782i | ||||
\(767\) | 16.2218 | − | 8.26544i | 0.585736 | − | 0.298448i | ||||
\(768\) | 2.91713 | + | 18.4180i | 0.105263 | + | 0.664603i | ||||
\(769\) | −51.2907 | −1.84959 | −0.924794 | − | 0.380468i | \(-0.875763\pi\) | ||||
−0.924794 | + | 0.380468i | \(0.875763\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −11.0274 | −0.397141 | ||||||||
\(772\) | −0.616901 | − | 3.89496i | −0.0222027 | − | 0.140183i | ||||
\(773\) | 14.7145 | − | 7.49740i | 0.529243 | − | 0.269663i | −0.168885 | − | 0.985636i | \(-0.554017\pi\) |
0.698128 | + | 0.715973i | \(0.254017\pi\) | |||||||
\(774\) | −33.8755 | + | 11.0068i | −1.21763 | + | 0.395632i | ||||
\(775\) | 45.2183 | + | 2.91960i | 1.62429 | + | 0.104875i | ||||
\(776\) | −39.5453 | − | 54.4295i | −1.41960 | − | 1.95391i | ||||
\(777\) | −5.32574 | + | 10.4524i | −0.191060 | + | 0.374976i | ||||
\(778\) | 18.9076 | + | 37.1082i | 0.677869 | + | 1.33039i | ||||
\(779\) | 8.40920 | − | 11.5743i | 0.301291 | − | 0.414691i | ||||
\(780\) | −13.8400 | − | 4.99557i | −0.495551 | − | 0.178870i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0.240530 | − | 0.240530i | 0.00860135 | − | 0.00860135i | ||||
\(783\) | 23.1292 | − | 3.66330i | 0.826569 | − | 0.130916i | ||||
\(784\) | 1.11795 | + | 0.363243i | 0.0399267 | + | 0.0129730i | ||||
\(785\) | 2.22102 | − | 2.08224i | 0.0792717 | − | 0.0743184i | ||||
\(786\) | 3.67744 | − | 2.67181i | 0.131170 | − | 0.0953004i | ||||
\(787\) | −4.37316 | − | 0.692641i | −0.155886 | − | 0.0246900i | 0.0780034 | − | 0.996953i | \(-0.475146\pi\) |
−0.233890 | + | 0.972263i | \(0.575146\pi\) | |||||||
\(788\) | 85.6084 | + | 43.6197i | 3.04967 | + | 1.55389i | ||||
\(789\) | 3.10812 | − | 9.56580i | 0.110652 | − | 0.340551i | ||||
\(790\) | −23.1958 | − | 4.44462i | −0.825270 | − | 0.158132i | ||||
\(791\) | − | 28.7945i | − | 1.02381i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 18.9183 | + | 18.9183i | 0.671808 | + | 0.671808i | ||||
\(794\) | −14.6086 | − | 10.6137i | −0.518438 | − | 0.376667i | ||||
\(795\) | −3.38243 | + | 4.35320i | −0.119962 | + | 0.154392i | ||||
\(796\) | −3.94138 | − | 12.1303i | −0.139699 | − | 0.429948i | ||||
\(797\) | 3.00692 | − | 18.9850i | 0.106511 | − | 0.672482i | −0.875437 | − | 0.483331i | \(-0.839427\pi\) |
0.981948 | − | 0.189150i | \(-0.0605734\pi\) | |||||||
\(798\) | −2.43811 | + | 15.3936i | −0.0863081 | + | 0.544928i | ||||
\(799\) | 0.308525 | + | 0.949542i | 0.0109148 | + | 0.0335924i | ||||
\(800\) | −3.83487 | − | 0.863823i | −0.135583 | − | 0.0305407i | ||||
\(801\) | 9.04454 | + | 6.57125i | 0.319573 | + | 0.232184i | ||||
\(802\) | 21.1147 | + | 21.1147i | 0.745587 | + | 0.745587i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 9.75751i | 0.344121i | ||||||||
\(805\) | 0.479921 | + | 0.707434i | 0.0169150 | + | 0.0249338i | ||||
\(806\) | 19.1346 | − | 58.8903i | 0.673988 | − | 2.07432i | ||||
\(807\) | 15.1628 | + | 7.72585i | 0.533757 | + | 0.271963i | ||||
\(808\) | −8.91548 | − | 1.41207i | −0.313645 | − | 0.0496765i | ||||
\(809\) | −24.9923 | + | 18.1580i | −0.878683 | + | 0.638401i | −0.932903 | − | 0.360128i | \(-0.882733\pi\) |
0.0542197 | + | 0.998529i | \(0.482733\pi\) | |||||||
\(810\) | 21.9841 | + | 23.4493i | 0.772443 | + | 0.823926i | ||||
\(811\) | −23.8090 | − | 7.73601i | −0.836047 | − | 0.271648i | −0.140456 | − | 0.990087i | \(-0.544857\pi\) |
−0.695590 | + | 0.718439i | \(0.744857\pi\) | |||||||
\(812\) | −69.3267 | + | 10.9803i | −2.43289 | + | 0.385332i | ||||
\(813\) | 12.5516 | − | 12.5516i | 0.440202 | − | 0.440202i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 46.4383 | − | 21.8056i | 1.62666 | − | 0.763816i | ||||
\(816\) | 1.16568 | − | 1.60442i | 0.0408070 | − | 0.0561660i | ||||
\(817\) | −10.4397 | − | 20.4891i | −0.365240 | − | 0.716825i | ||||
\(818\) | −29.5519 | + | 57.9990i | −1.03326 | + | 2.02789i | ||||
\(819\) | 11.2627 | + | 15.5018i | 0.393550 | + | 0.541675i | ||||
\(820\) | −8.40160 | − | 29.0075i | −0.293396 | − | 1.01299i | ||||
\(821\) | 21.6750 | − | 7.04264i | 0.756463 | − | 0.245790i | 0.0947032 | − | 0.995506i | \(-0.469810\pi\) |
0.661760 | + | 0.749716i | \(0.269810\pi\) | |||||||
\(822\) | −21.4335 | + | 10.9209i | −0.747580 | + | 0.380911i | ||||
\(823\) | 2.76029 | + | 17.4278i | 0.0962177 | + | 0.607495i | 0.987931 | + | 0.154894i | \(0.0495036\pi\) |
−0.891713 | + | 0.452601i | \(0.850496\pi\) | |||||||
\(824\) | −8.01946 | −0.279371 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −40.7077 | −1.41640 | ||||||||
\(827\) | 2.60613 | + | 16.4544i | 0.0906239 | + | 0.572177i | 0.990659 | + | 0.136360i | \(0.0435404\pi\) |
−0.900035 | + | 0.435817i | \(0.856460\pi\) | |||||||
\(828\) | 1.36579 | − | 0.695907i | 0.0474646 | − | 0.0241844i | ||||
\(829\) | −39.7855 | + | 12.9271i | −1.38181 | + | 0.448976i | −0.903263 | − | 0.429087i | \(-0.858835\pi\) |
−0.478544 | + | 0.878064i | \(0.658835\pi\) | |||||||
\(830\) | −12.5471 | − | 43.3205i | −0.435517 | − | 1.50368i | ||||
\(831\) | 4.36562 | + | 6.00876i | 0.151442 | + | 0.208441i | ||||
\(832\) | −11.3950 | + | 22.3640i | −0.395051 | + | 0.775332i | ||||
\(833\) | 0.143498 | + | 0.281630i | 0.00497190 | + | 0.00975790i | ||||
\(834\) | −3.69432 | + | 5.08480i | −0.127924 | + | 0.176072i | ||||
\(835\) | 29.0660 | − | 13.6482i | 1.00587 | − | 0.472316i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 21.6227 | − | 21.6227i | 0.747390 | − | 0.747390i | ||||
\(838\) | 34.2139 | − | 5.41895i | 1.18190 | − | 0.187195i | ||||
\(839\) | 49.3818 | + | 16.0451i | 1.70485 | + | 0.553939i | 0.989463 | − | 0.144788i | \(-0.0462501\pi\) |
0.715388 | + | 0.698728i | \(0.246250\pi\) | |||||||
\(840\) | 11.0138 | + | 11.7479i | 0.380012 | + | 0.405339i | ||||
\(841\) | −15.5042 | + | 11.2645i | −0.534629 | + | 0.388431i | ||||
\(842\) | 16.5931 | + | 2.62809i | 0.571836 | + | 0.0905699i | ||||
\(843\) | −11.6559 | − | 5.93896i | −0.401449 | − | 0.204549i | ||||
\(844\) | −30.0723 | + | 92.5530i | −1.03513 | + | 3.18581i | ||||
\(845\) | 6.41559 | + | 9.45698i | 0.220703 | + | 0.325330i | ||||
\(846\) | 6.79605i | 0.233653i | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −10.2374 | − | 10.2374i | −0.351554 | − | 0.351554i | ||||
\(849\) | −13.1584 | − | 9.56013i | −0.451595 | − | 0.328103i | ||||
\(850\) | 6.13833 | + | 9.70773i | 0.210543 | + | 0.332972i | ||||
\(851\) | 0.347690 | + | 1.07008i | 0.0119187 | + | 0.0366819i | ||||
\(852\) | 0.463992 | − | 2.92953i | 0.0158961 | − | 0.100364i | ||||
\(853\) | 2.19089 | − | 13.8327i | 0.0750145 | − | 0.473623i | −0.921372 | − | 0.388683i | \(-0.872930\pi\) |
0.996386 | − | 0.0849401i | \(-0.0270699\pi\) | |||||||
\(854\) | −18.4857 | − | 56.8933i | −0.632569 | − | 1.94685i | ||||
\(855\) | −15.0439 | + | 19.3616i | −0.514491 | + | 0.662152i | ||||
\(856\) | −15.6947 | − | 11.4029i | −0.536434 | − | 0.389742i | ||||
\(857\) | 10.2364 | + | 10.2364i | 0.349669 | + | 0.349669i | 0.859986 | − | 0.510317i | \(-0.170472\pi\) |
−0.510317 | + | 0.859986i | \(0.670472\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 56.0426i | 1.91215i | 0.293125 | + | 0.956074i | \(0.405305\pi\) | ||||
−0.293125 | + | 0.956074i | \(0.594695\pi\) | |||||||
\(860\) | −47.6739 | − | 9.13494i | −1.62567 | − | 0.311499i | ||||
\(861\) | 1.64481 | − | 5.06221i | 0.0560550 | − | 0.172520i | ||||
\(862\) | −15.4741 | − | 7.88446i | −0.527050 | − | 0.268546i | ||||
\(863\) | −17.0244 | − | 2.69640i | −0.579518 | − | 0.0917867i | −0.140208 | − | 0.990122i | \(-0.544777\pi\) |
−0.439310 | + | 0.898335i | \(0.644777\pi\) | |||||||
\(864\) | −2.14616 | + | 1.55928i | −0.0730140 | + | 0.0530478i | ||||
\(865\) | 36.3801 | − | 34.1069i | 1.23696 | − | 1.15967i | ||||
\(866\) | 38.8733 | + | 12.6307i | 1.32097 | + | 0.429209i | ||||
\(867\) | −9.51447 | + | 1.50694i | −0.323128 | + | 0.0511785i | ||||
\(868\) | −64.8114 | + | 64.8114i | −2.19984 | + | 2.19984i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 21.2343 | + | 7.66456i | 0.719910 | + | 0.259853i | ||||
\(871\) | −6.87628 | + | 9.46438i | −0.232994 | + | 0.320688i | ||||
\(872\) | 6.82560 | + | 13.3960i | 0.231144 | + | 0.453645i | ||||
\(873\) | 17.3027 | − | 33.9584i | 0.585606 | − | 1.14932i | ||||
\(874\) | 0.878650 | + | 1.20936i | 0.0297208 | + | 0.0409071i | ||||
\(875\) | −26.8637 | + | 10.5595i | −0.908158 | + | 0.356975i | ||||
\(876\) | 3.94677 | − | 1.28238i | 0.133349 | − | 0.0433278i | ||||
\(877\) | −6.28165 | + | 3.20066i | −0.212116 | + | 0.108079i | −0.556821 | − | 0.830633i | \(-0.687979\pi\) |
0.344705 | + | 0.938711i | \(0.387979\pi\) | |||||||
\(878\) | 0.294133 | + | 1.85708i | 0.00992651 | + | 0.0626735i | ||||
\(879\) | −12.0275 | −0.405678 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −46.6330 | −1.57111 | −0.785553 | − | 0.618794i | \(-0.787622\pi\) | ||||
−0.785553 | + | 0.618794i | \(0.787622\pi\) | |||||||
\(882\) | 0.336573 | + | 2.12504i | 0.0113330 | + | 0.0715537i | ||||
\(883\) | 9.80743 | − | 4.99714i | 0.330046 | − | 0.168167i | −0.281113 | − | 0.959675i | \(-0.590704\pi\) |
0.611159 | + | 0.791508i | \(0.290704\pi\) | |||||||
\(884\) | 9.88212 | − | 3.21090i | 0.332372 | − | 0.107994i | ||||
\(885\) | 7.59205 | + | 4.18190i | 0.255204 | + | 0.140573i | ||||
\(886\) | −26.8665 | − | 36.9785i | −0.902597 | − | 1.24232i | ||||
\(887\) | 17.6954 | − | 34.7292i | 0.594154 | − | 1.16609i | −0.376680 | − | 0.926343i | \(-0.622934\pi\) |
0.970835 | − | 0.239750i | \(-0.0770655\pi\) | |||||||
\(888\) | 9.62223 | + | 18.8847i | 0.322901 | + | 0.633729i | ||||
\(889\) | −3.60411 | + | 4.96064i | −0.120878 | + | 0.166374i | ||||
\(890\) | 9.78168 | + | 20.8316i | 0.327883 | + | 0.698277i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −54.2662 | + | 54.2662i | −1.81697 | + | 1.81697i | ||||
\(893\) | −4.33351 | + | 0.686361i | −0.145016 | + | 0.0229682i | ||||
\(894\) | 11.6835 | + | 3.79620i | 0.390755 | + | 0.126964i | ||||
\(895\) | −0.314840 | + | 9.76254i | −0.0105240 | + | 0.326326i | ||||
\(896\) | 42.1188 | − | 30.6011i | 1.40709 | − | 1.02231i | ||||
\(897\) | −0.245673 | − | 0.0389107i | −0.00820277 | − | 0.00129919i | ||||
\(898\) | 1.54623 | + | 0.787843i | 0.0515983 | + | 0.0262906i | ||||
\(899\) | −19.4354 | + | 59.8159i | −0.648206 | + | 1.99497i | ||||
\(900\) | 12.7891 | + | 50.1525i | 0.426302 | + | 1.67175i | ||||
\(901\) | − | 3.89303i | − | 0.129696i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −6.04959 | − | 6.04959i | −0.201318 | − | 0.201318i | ||||
\(904\) | −42.0884 | − | 30.5790i | −1.39984 | − | 1.01704i | ||||
\(905\) | 16.6679 | + | 12.9510i | 0.554061 | + | 0.430504i | ||||
\(906\) | 5.36404 | + | 16.5088i | 0.178208 | + | 0.548469i | ||||
\(907\) | −4.39815 | + | 27.7688i | −0.146038 | + | 0.922049i | 0.800471 | + | 0.599372i | \(0.204583\pi\) |
−0.946509 | + | 0.322677i | \(0.895417\pi\) | |||||||
\(908\) | 0.626877 | − | 3.95795i | 0.0208037 | − | 0.131349i | ||||
\(909\) | −1.58014 | − | 4.86318i | −0.0524100 | − | 0.161301i | ||||
\(910\) | 4.91148 | + | 39.1373i | 0.162814 | + | 1.29739i | ||||
\(911\) | 23.8530 | + | 17.3302i | 0.790285 | + | 0.574175i | 0.908048 | − | 0.418866i | \(-0.137572\pi\) |
−0.117763 | + | 0.993042i | \(0.537572\pi\) | |||||||
\(912\) | 6.16252 | + | 6.16252i | 0.204061 | + | 0.204061i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | − | 47.0585i | − | 1.55656i | ||||||
\(915\) | −2.39702 | + | 12.5097i | −0.0792431 | + | 0.413558i | ||||
\(916\) | −0.123296 | + | 0.379465i | −0.00407380 | + | 0.0125379i | ||||
\(917\) | −7.18775 | − | 3.66234i | −0.237360 | − | 0.120941i | ||||
\(918\) | 7.65563 | + | 1.21253i | 0.252673 | + | 0.0400195i | ||||
\(919\) | 32.9943 | − | 23.9718i | 1.08838 | − | 0.790755i | 0.109256 | − | 0.994014i | \(-0.465153\pi\) |
0.979125 | + | 0.203258i | \(0.0651532\pi\) | |||||||
\(920\) | 1.54371 | + | 0.0497843i | 0.0508945 | + | 0.00164134i | ||||
\(921\) | 11.8173 | + | 3.83968i | 0.389394 | + | 0.126522i | ||||
\(922\) | 87.7630 | − | 13.9003i | 2.89032 | − | 0.457782i | ||||
\(923\) | 2.51454 | − | 2.51454i | 0.0827672 | − | 0.0827672i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −37.8281 | + | 3.51301i | −1.24378 | + | 0.115507i | ||||
\(926\) | −34.6632 | + | 47.7098i | −1.13910 | + | 1.56784i | ||||
\(927\) | −2.06244 | − | 4.04776i | −0.0677394 | − | 0.132946i | ||||
\(928\) | 2.47706 | − | 4.86151i | 0.0813136 | − | 0.159587i | ||||
\(929\) | −30.1380 | − | 41.4814i | −0.988795 | − | 1.36096i | −0.931954 | − | 0.362577i | \(-0.881897\pi\) |
−0.0568413 | − | 0.998383i | \(-0.518103\pi\) | |||||||
\(930\) | 28.3156 | − | 8.20118i | 0.928504 | − | 0.268927i | ||||
\(931\) | −1.32104 | + | 0.429233i | −0.0432954 | + | 0.0140675i | ||||
\(932\) | −74.6973 | + | 38.0602i | −2.44679 | + | 1.24670i | ||||
\(933\) | −2.17776 | − | 13.7499i | −0.0712968 | − | 0.450150i | ||||
\(934\) | 36.0504 | 1.17960 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 34.6194 | 1.13157 | ||||||||
\(937\) | −0.481891 | − | 3.04254i | −0.0157427 | − | 0.0993955i | 0.978566 | − | 0.205934i | \(-0.0660232\pi\) |
−0.994309 | + | 0.106539i | \(0.966023\pi\) | |||||||
\(938\) | 23.3063 | − | 11.8752i | 0.760978 | − | 0.387738i | ||||
\(939\) | 7.97272 | − | 2.59049i | 0.260180 | − | 0.0845376i | ||||
\(940\) | −4.46850 | + | 8.11236i | −0.145746 | + | 0.264596i | ||||
\(941\) | 16.7138 | + | 23.0045i | 0.544854 | + | 0.749927i | 0.989303 | − | 0.145877i | \(-0.0466005\pi\) |
−0.444449 | + | 0.895804i | \(0.646601\pi\) | |||||||
\(942\) | 0.899198 | − | 1.76477i | 0.0292974 | − | 0.0574995i | ||||
\(943\) | −0.231770 | − | 0.454874i | −0.00754747 | − | 0.0148127i | ||||
\(944\) | −13.3798 | + | 18.4157i | −0.435474 | + | 0.599379i | ||||
\(945\) | −6.61343 | + | 18.3222i | −0.215135 | + | 0.596021i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −40.6526 | + | 40.6526i | −1.32103 | + | 1.32103i | −0.408091 | + | 0.912941i | \(0.633805\pi\) |
−0.912941 | + | 0.408091i | \(0.866195\pi\) | |||||||
\(948\) | −10.0468 | + | 1.59126i | −0.326306 | + | 0.0516818i | ||||
\(949\) | 4.73193 | + | 1.53750i | 0.153605 | + | 0.0499092i | ||||
\(950\) | −46.3555 | + | 19.9693i | −1.50397 | + | 0.647890i | ||||
\(951\) | 14.2724 | − | 10.3695i | 0.462813 | − | 0.336253i | ||||
\(952\) | −11.2318 | − | 1.77894i | −0.364024 | − | 0.0576557i | ||||
\(953\) | 17.0501 | + | 8.68746i | 0.552307 | + | 0.281414i | 0.707788 | − | 0.706424i | \(-0.249693\pi\) |
−0.155482 | + | 0.987839i | \(0.549693\pi\) | |||||||
\(954\) | 8.18878 | − | 25.2025i | 0.265122 | − | 0.815960i | ||||
\(955\) | −11.9775 | + | 8.12549i | −0.387582 | + | 0.262935i | ||||
\(956\) | 33.9400i | 1.09770i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 47.4507 | + | 47.4507i | 1.53306 | + | 1.53306i | ||||
\(959\) | 34.5378 | + | 25.0932i | 1.11528 | + | 0.810302i | ||||
\(960\) | −11.8565 | + | 1.48791i | −0.382666 | + | 0.0480221i | ||||
\(961\) | 15.7997 | + | 48.6264i | 0.509667 | + | 1.56859i | ||||
\(962\) | −8.12140 | + | 51.2765i | −0.261844 | + | 1.65322i | ||||
\(963\) | 1.71916 | − | 10.8544i | 0.0553993 | − | 0.349777i | ||||
\(964\) | 12.8917 | + | 39.6764i | 0.415212 | + | 1.27789i | ||||
\(965\) | 2.23340 | − | 0.280277i | 0.0718955 | − | 0.00902243i | ||||
\(966\) | 0.449938 | + | 0.326899i | 0.0144765 | + | 0.0105178i | ||||
\(967\) | −12.6930 | − | 12.6930i | −0.408178 | − | 0.408178i | 0.472925 | − | 0.881103i | \(-0.343198\pi\) |
−0.881103 | + | 0.472925i | \(0.843198\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 2.34346i | 0.0752826i | ||||||||
\(970\) | 64.9257 | − | 44.0454i | 2.08464 | − | 1.41421i | ||||
\(971\) | −1.07721 | + | 3.31533i | −0.0345695 | + | 0.106394i | −0.966852 | − | 0.255336i | \(-0.917814\pi\) |
0.932283 | + | 0.361730i | \(0.117814\pi\) | |||||||
\(972\) | 47.6686 | + | 24.2884i | 1.52897 | + | 0.779050i | ||||
\(973\) | 11.0169 | + | 1.74491i | 0.353186 | + | 0.0559392i | ||||
\(974\) | 76.5471 | − | 55.6147i | 2.45273 | − | 1.78201i | ||||
\(975\) | 3.10457 | − | 7.80370i | 0.0994258 | − | 0.249919i | ||||
\(976\) | −31.8137 | − | 10.3369i | −1.01833 | − | 0.330876i | ||||
\(977\) | 25.5183 | − | 4.04170i | 0.816402 | − | 0.129305i | 0.265752 | − | 0.964042i | \(-0.414380\pi\) |
0.550650 | + | 0.834736i | \(0.314380\pi\) | |||||||
\(978\) | 23.6009 | − | 23.6009i | 0.754672 | − | 0.754672i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −0.995480 | + | 2.75793i | −0.0317994 | + | 0.0880989i | ||||
\(981\) | −5.00613 | + | 6.89034i | −0.159833 | + | 0.219992i | ||||
\(982\) | 20.7636 | + | 40.7509i | 0.662595 | + | 1.30042i | ||||
\(983\) | −14.1764 | + | 27.8228i | −0.452158 | + | 0.887409i | 0.546591 | + | 0.837400i | \(0.315925\pi\) |
−0.998749 | + | 0.0500096i | \(0.984075\pi\) | |||||||
\(984\) | −5.65260 | − | 7.78013i | −0.180198 | − | 0.248022i | ||||
\(985\) | −26.4598 | + | 48.0365i | −0.843078 | + | 1.53057i | ||||
\(986\) | −15.1619 | + | 4.92639i | −0.482852 | + | 0.156888i | ||||
\(987\) | −1.45445 | + | 0.741080i | −0.0462957 | + | 0.0235888i | ||||
\(988\) | 7.14313 | + | 45.1000i | 0.227253 | + | 1.43482i | ||||
\(989\) | −0.820573 | −0.0260927 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −19.5868 | −0.622196 | −0.311098 | − | 0.950378i | \(-0.600697\pi\) | ||||
−0.311098 | + | 0.950378i | \(0.600697\pi\) | |||||||
\(992\) | −1.11457 | − | 7.03714i | −0.0353877 | − | 0.223429i | ||||
\(993\) | 1.16457 | − | 0.593380i | 0.0369566 | − | 0.0188303i | ||||
\(994\) | −7.56203 | + | 2.45705i | −0.239853 | + | 0.0779330i | ||||
\(995\) | 6.99278 | − | 2.02535i | 0.221686 | − | 0.0642080i | ||||
\(996\) | −11.4176 | − | 15.7150i | −0.361780 | − | 0.497948i | ||||
\(997\) | −12.8543 | + | 25.2279i | −0.407098 | + | 0.798976i | −0.999980 | − | 0.00631392i | \(-0.997990\pi\) |
0.592882 | + | 0.805290i | \(0.297990\pi\) | |||||||
\(998\) | 5.78661 | + | 11.3569i | 0.183172 | + | 0.359495i | ||||
\(999\) | −15.0697 | + | 20.7417i | −0.476784 | + | 0.656237i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))