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 | 282.4 | ||
Character | \(\chi\) | \(=\) | 605.282 |
Dual form | 605.2.m.e.118.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.40264 | − | 0.380541i | 1.69892 | − | 0.269083i | 0.769648 | − | 0.638468i | \(-0.220432\pi\) |
0.929276 | + | 0.369385i | \(0.120432\pi\) | |||||||
\(3\) | −0.271495 | − | 0.532840i | −0.156748 | − | 0.307635i | 0.799255 | − | 0.600992i | \(-0.205228\pi\) |
−0.956003 | + | 0.293357i | \(0.905228\pi\) | |||||||
\(4\) | 3.72576 | − | 1.21057i | 1.86288 | − | 0.605287i | ||||
\(5\) | 1.85044 | + | 1.25533i | 0.827543 | + | 0.561403i | ||||
\(6\) | −0.855073 | − | 1.17691i | −0.349082 | − | 0.480470i | ||||
\(7\) | −2.30033 | − | 1.17208i | −0.869443 | − | 0.443003i | −0.0384331 | − | 0.999261i | \(-0.512237\pi\) |
−0.831010 | + | 0.556258i | \(0.812237\pi\) | |||||||
\(8\) | 4.15610 | − | 2.11764i | 1.46940 | − | 0.748698i | ||||
\(9\) | 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 | ||||
\(13\) | 0.439393 | + | 2.77422i | 0.121866 | + | 0.769429i | 0.970616 | + | 0.240635i | \(0.0773556\pi\) |
−0.848750 | + | 0.528794i | \(0.822644\pi\) | |||||||
\(14\) | −5.97289 | − | 1.94071i | −1.59632 | − | 0.518677i | ||||
\(15\) | 0.166506 | − | 1.32681i | 0.0429916 | − | 0.342580i | ||||
\(16\) | 2.84111 | − | 2.06419i | 0.710279 | − | 0.516048i | ||||
\(17\) | −0.147723 | + | 0.932684i | −0.0358280 | + | 0.226209i | −0.999105 | − | 0.0423009i | \(-0.986531\pi\) |
0.963277 | + | 0.268510i | \(0.0865312\pi\) | |||||||
\(18\) | 2.91817 | − | 5.72722i | 0.687818 | − | 1.34992i | ||||
\(19\) | 1.28236 | − | 3.94669i | 0.294193 | − | 0.905433i | −0.689298 | − | 0.724478i | \(-0.742081\pi\) |
0.983491 | − | 0.180955i | \(-0.0579189\pi\) | |||||||
\(20\) | 8.41399 | + | 2.43698i | 1.88142 | + | 0.544926i | ||||
\(21\) | 1.54392i | 0.336911i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.104710 | − | 0.104710i | 0.0218334 | − | 0.0218334i | −0.696106 | − | 0.717939i | \(-0.745086\pi\) |
0.717939 | + | 0.696106i | \(0.245086\pi\) | |||||||
\(24\) | −2.25672 | − | 1.63960i | −0.460651 | − | 0.334683i | ||||
\(25\) | 1.84827 | + | 4.64585i | 0.369654 | + | 0.929169i | ||||
\(26\) | 2.11141 | + | 6.49824i | 0.414081 | + | 1.27441i | ||||
\(27\) | −3.33271 | − | 0.527849i | −0.641380 | − | 0.101585i | ||||
\(28\) | −9.98937 | − | 1.58216i | −1.88781 | − | 0.299000i | ||||
\(29\) | 2.14459 | + | 6.60038i | 0.398241 | + | 1.22566i | 0.926409 | + | 0.376520i | \(0.122879\pi\) |
−0.528168 | + | 0.849140i | \(0.677121\pi\) | |||||||
\(30\) | −0.104851 | − | 3.25120i | −0.0191430 | − | 0.593586i | ||||
\(31\) | −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 | ||||||||
\(35\) | −2.78528 | − | 5.05654i | −0.470798 | − | 0.854712i | ||||
\(36\) | 3.19879 | − | 9.84486i | 0.533131 | − | 1.64081i | ||||
\(37\) | −3.44950 | + | 6.77002i | −0.567094 | + | 1.11298i | 0.412305 | + | 0.911046i | \(0.364724\pi\) |
−0.979398 | + | 0.201938i | \(0.935276\pi\) | |||||||
\(38\) | 1.57917 | − | 9.97047i | 0.256175 | − | 1.61742i | ||||
\(39\) | 1.35892 | − | 0.987312i | 0.217601 | − | 0.158096i | ||||
\(40\) | 10.3490 | + | 1.29873i | 1.63631 | + | 0.205347i | ||||
\(41\) | −3.27880 | − | 1.06535i | −0.512063 | − | 0.166379i | 0.0415772 | − | 0.999135i | \(-0.486762\pi\) |
−0.553640 | + | 0.832756i | \(0.686762\pi\) | |||||||
\(42\) | 0.587525 | + | 3.70949i | 0.0906571 | + | 0.572386i | ||||
\(43\) | 3.91833 | + | 3.91833i | 0.597540 | + | 0.597540i | 0.939657 | − | 0.342117i | \(-0.111144\pi\) |
−0.342117 | + | 0.939657i | \(0.611144\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 5.55757 | − | 2.00601i | 0.828473 | − | 0.299039i | ||||
\(46\) | 0.211733 | − | 0.291426i | 0.0312184 | − | 0.0429684i | ||||
\(47\) | −0.942051 | + | 0.479999i | −0.137412 | + | 0.0700150i | −0.521345 | − | 0.853346i | \(-0.674569\pi\) |
0.383933 | + | 0.923361i | \(0.374569\pi\) | |||||||
\(48\) | −1.87123 | − | 0.953440i | −0.270089 | − | 0.137617i | ||||
\(49\) | −0.196744 | − | 0.270795i | −0.0281063 | − | 0.0386850i | ||||
\(50\) | 6.20867 | + | 10.4590i | 0.878038 | + | 1.47912i | ||||
\(51\) | 0.537077 | − | 0.174507i | 0.0752058 | − | 0.0244358i | ||||
\(52\) | 4.99547 | + | 9.80416i | 0.692747 | + | 1.35959i | ||||
\(53\) | −4.07187 | + | 0.644920i | −0.559314 | + | 0.0885866i | −0.429690 | − | 0.902977i | \(-0.641377\pi\) |
−0.129624 | + | 0.991563i | \(0.541377\pi\) | |||||||
\(54\) | −8.20817 | −1.11699 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −12.0424 | −1.60924 | ||||||||
\(57\) | −2.45111 | + | 0.388217i | −0.324657 | + | 0.0514206i | ||||
\(58\) | 7.66441 | + | 15.0422i | 1.00639 | + | 1.97514i | ||||
\(59\) | 6.16460 | − | 2.00300i | 0.802563 | − | 0.260768i | 0.121118 | − | 0.992638i | \(-0.461352\pi\) |
0.681445 | + | 0.731870i | \(0.261352\pi\) | |||||||
\(60\) | −0.985836 | − | 5.14493i | −0.127271 | − | 0.664208i | ||||
\(61\) | −5.59880 | − | 7.70609i | −0.716853 | − | 0.986663i | −0.999622 | − | 0.0274756i | \(-0.991253\pi\) |
0.282769 | − | 0.959188i | \(-0.408747\pi\) | |||||||
\(62\) | −19.6426 | − | 10.0084i | −2.49461 | − | 1.27107i | ||||
\(63\) | −6.07833 | + | 3.09706i | −0.765797 | + | 0.390193i | ||||
\(64\) | −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 | 0.863739 | − | 0.503939i | \(-0.168116\pi\) |
−0.503939 | + | 0.863739i | \(0.668116\pi\) | |||||||
\(68\) | 0.578703 | + | 3.65379i | 0.0701781 | + | 0.443087i | ||||
\(69\) | −0.0842215 | − | 0.0273652i | −0.0101391 | − | 0.00329439i | ||||
\(70\) | −8.61625 | − | 11.0891i | −1.02984 | − | 1.32541i | ||||
\(71\) | −1.02426 | + | 0.744171i | −0.121558 | + | 0.0883168i | −0.646903 | − | 0.762572i | \(-0.723936\pi\) |
0.525345 | + | 0.850889i | \(0.323936\pi\) | |||||||
\(72\) | 1.92811 | − | 12.1736i | 0.227230 | − | 1.43467i | ||||
\(73\) | −0.804189 | + | 1.57831i | −0.0941232 | + | 0.184727i | −0.933268 | − | 0.359181i | \(-0.883056\pi\) |
0.839145 | + | 0.543908i | \(0.183056\pi\) | |||||||
\(74\) | −5.71163 | + | 17.5786i | −0.663964 | + | 2.04347i | ||||
\(75\) | 1.97369 | − | 2.24616i | 0.227903 | − | 0.259364i | ||||
\(76\) | − | 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 | 0.372376 | − | 0.928082i | \(-0.378543\pi\) |
−0.767588 | + | 0.640944i | \(0.778543\pi\) | |||||||
\(80\) | 7.84857 | − | 0.253115i | 0.877497 | − | 0.0282991i | ||||
\(81\) | −1.82606 | − | 5.62003i | −0.202895 | − | 0.624448i | ||||
\(82\) | −8.28320 | − | 1.31193i | −0.914726 | − | 0.144878i | ||||
\(83\) | 8.18939 | + | 1.29707i | 0.898902 | + | 0.142372i | 0.588750 | − | 0.808315i | \(-0.299620\pi\) |
0.310152 | + | 0.950687i | \(0.399620\pi\) | |||||||
\(84\) | 1.86903 | + | 5.75228i | 0.203928 | + | 0.627625i | ||||
\(85\) | −1.44418 | + | 1.54044i | −0.156644 | + | 0.167084i | ||||
\(86\) | 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 | \(0.0719894\pi\) | ||||
−0.974534 | + | 0.224238i | \(0.928011\pi\) | |||||||
\(90\) | 12.5895 | − | 6.93462i | 1.32705 | − | 0.730973i | ||||
\(91\) | 2.24084 | − | 6.89661i | 0.234904 | − | 0.722961i | ||||
\(92\) | 0.263364 | − | 0.516882i | 0.0274576 | − | 0.0538886i | ||||
\(93\) | −0.847805 | + | 5.35283i | −0.0879133 | + | 0.555063i | ||||
\(94\) | −2.08075 | + | 1.51175i | −0.214613 | + | 0.155926i | ||||
\(95\) | 7.32735 | − | 5.69333i | 0.751770 | − | 0.584124i | ||||
\(96\) | 0.447147 | + | 0.145287i | 0.0456367 | + | 0.0148283i | ||||
\(97\) | −2.25634 | − | 14.2460i | −0.229097 | − | 1.44646i | −0.787205 | − | 0.616691i | \(-0.788473\pi\) |
0.558109 | − | 0.829768i | \(-0.311527\pi\) | |||||||
\(98\) | −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 | \(0.230694\pi\) | |||||||
\(102\) | 1.22400 | − | 0.623657i | 0.121194 | − | 0.0617513i | ||||
\(103\) | 1.53187 | + | 0.780525i | 0.150939 | + | 0.0769075i | 0.527829 | − | 0.849351i | \(-0.323006\pi\) |
−0.376889 | + | 0.926258i | \(0.623006\pi\) | |||||||
\(104\) | 7.70094 | + | 10.5994i | 0.755139 | + | 1.03936i | ||||
\(105\) | −1.93814 | + | 2.85693i | −0.189143 | + | 0.278808i | ||||
\(106\) | −9.53782 | + | 3.09903i | −0.926395 | + | 0.301004i | ||||
\(107\) | −1.88816 | − | 3.70571i | −0.182535 | − | 0.358245i | 0.781549 | − | 0.623844i | \(-0.214430\pi\) |
−0.964083 | + | 0.265600i | \(0.914430\pi\) | |||||||
\(108\) | −13.0559 | + | 2.06785i | −1.25630 | + | 0.198979i | ||||
\(109\) | −3.22321 | −0.308728 | −0.154364 | − | 0.988014i | \(-0.549333\pi\) | ||||
−0.154364 | + | 0.988014i | \(0.549333\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.54385 | 0.431284 | ||||||||
\(112\) | −8.95489 | + | 1.41832i | −0.846157 | + | 0.134018i | ||||
\(113\) | 5.06345 | + | 9.93758i | 0.476329 | + | 0.934849i | 0.996721 | + | 0.0809210i | \(0.0257862\pi\) |
−0.520391 | + | 0.853928i | \(0.674214\pi\) | |||||||
\(114\) | −5.74140 | + | 1.86549i | −0.537731 | + | 0.174720i | ||||
\(115\) | 0.325204 | − | 0.0623134i | 0.0303255 | − | 0.00581075i | ||||
\(116\) | 15.9805 | + | 21.9953i | 1.48375 | + | 2.04221i | ||||
\(117\) | 6.61295 | + | 3.36947i | 0.611367 | + | 0.311507i | ||||
\(118\) | 14.0491 | − | 7.15838i | 1.29333 | − | 0.658982i | ||||
\(119\) | 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 | ||||
\(123\) | 0.322520 | + | 2.03631i | 0.0290807 | + | 0.183608i | ||||
\(124\) | −33.7647 | − | 10.9708i | −3.03216 | − | 0.985209i | ||||
\(125\) | −2.41198 | + | 10.9171i | −0.215734 | + | 0.976452i | ||||
\(126\) | −13.4255 | + | 9.75419i | −1.19604 | + | 0.868972i | ||||
\(127\) | −0.371538 | + | 2.34580i | −0.0329687 | + | 0.208156i | −0.998674 | − | 0.0514856i | \(-0.983604\pi\) |
0.965705 | + | 0.259641i | \(0.0836044\pi\) | |||||||
\(128\) | −9.15495 | + | 17.9676i | −0.809191 | + | 1.58813i | ||||
\(129\) | 1.02403 | − | 3.15165i | 0.0901611 | − | 0.277487i | ||||
\(130\) | −4.25043 | + | 14.6751i | −0.372788 | + | 1.28709i | ||||
\(131\) | 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 | ||||
\(135\) | −5.50435 | − | 5.16042i | −0.473739 | − | 0.444138i | ||||
\(136\) | 1.36114 | + | 4.18915i | 0.116716 | + | 0.359216i | ||||
\(137\) | 16.3323 | + | 2.58679i | 1.39537 | + | 0.221004i | 0.808412 | − | 0.588617i | \(-0.200327\pi\) |
0.586953 | + | 0.809621i | \(0.300327\pi\) | |||||||
\(138\) | −0.212768 | − | 0.0336991i | −0.0181120 | − | 0.00286866i | ||||
\(139\) | 1.33510 | + | 4.10901i | 0.113242 | + | 0.348522i | 0.991576 | − | 0.129524i | \(-0.0413451\pi\) |
−0.878335 | + | 0.478046i | \(0.841345\pi\) | |||||||
\(140\) | −16.4986 | − | 15.4677i | −1.39439 | − | 1.30726i | ||||
\(141\) | 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 | ||||||
\(145\) | −4.31724 | + | 14.9058i | −0.358527 | + | 1.23786i | ||||
\(146\) | −1.33157 | + | 4.09814i | −0.110201 | + | 0.339164i | ||||
\(147\) | −0.0908753 | + | 0.178353i | −0.00749527 | + | 0.0147103i | ||||
\(148\) | −4.65640 | + | 29.3994i | −0.382754 | + | 2.41661i | ||||
\(149\) | 6.83188 | − | 4.96365i | 0.559689 | − | 0.406638i | −0.271656 | − | 0.962394i | \(-0.587571\pi\) |
0.831345 | + | 0.555756i | \(0.187571\pi\) | |||||||
\(150\) | 3.88733 | − | 6.14778i | 0.317399 | − | 0.501964i | ||||
\(151\) | −11.3483 | − | 3.68729i | −0.923513 | − | 0.300068i | −0.191606 | − | 0.981472i | \(-0.561370\pi\) |
−0.731907 | + | 0.681404i | \(0.761370\pi\) | |||||||
\(152\) | −3.02806 | − | 19.1184i | −0.245608 | − | 1.55071i | ||||
\(153\) | 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 | ||||
\(157\) | −1.21312 | + | 0.618117i | −0.0968177 | + | 0.0493311i | −0.501729 | − | 0.865025i | \(-0.667302\pi\) |
0.404911 | + | 0.914356i | \(0.367302\pi\) | |||||||
\(158\) | −9.41098 | − | 4.79514i | −0.748698 | − | 0.381481i | ||||
\(159\) | 1.44913 | + | 1.99456i | 0.114924 | + | 0.158179i | ||||
\(160\) | −1.72657 | + | 0.330833i | −0.136497 | + | 0.0261546i | ||||
\(161\) | −0.363594 | + | 0.118139i | −0.0286552 | + | 0.00931064i | ||||
\(162\) | −6.52602 | − | 12.8080i | −0.512732 | − | 1.00629i | ||||
\(163\) | 22.6610 | − | 3.58914i | 1.77494 | − | 0.281123i | 0.818812 | − | 0.574062i | \(-0.194633\pi\) |
0.956131 | + | 0.292939i | \(0.0946333\pi\) | |||||||
\(164\) | −13.5057 | −1.05462 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 20.1698 | 1.56548 | ||||||||
\(167\) | −14.1836 | + | 2.24646i | −1.09756 | + | 0.173836i | −0.678845 | − | 0.734282i | \(-0.737519\pi\) |
−0.418714 | + | 0.908118i | \(0.637519\pi\) | |||||||
\(168\) | 3.26946 | + | 6.41668i | 0.252244 | + | 0.495058i | ||||
\(169\) | 4.86053 | − | 1.57928i | 0.373887 | − | 0.121483i | ||||
\(170\) | −2.88365 | + | 4.25069i | −0.221166 | + | 0.326013i | ||||
\(171\) | −6.44525 | − | 8.87112i | −0.492880 | − | 0.678391i | ||||
\(172\) | 19.3422 | + | 9.85535i | 1.47483 | + | 0.751464i | ||||
\(173\) | 19.8708 | − | 10.1247i | 1.51075 | − | 0.769766i | 0.514601 | − | 0.857430i | \(-0.327940\pi\) |
0.996150 | + | 0.0876641i | \(0.0279402\pi\) | |||||||
\(174\) | 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 | ||||
\(178\) | 1.61004 | + | 10.1654i | 0.120678 | + | 0.761928i | ||||
\(179\) | 4.15441 | + | 1.34985i | 0.310516 | + | 0.100893i | 0.460129 | − | 0.887852i | \(-0.347803\pi\) |
−0.149614 | + | 0.988745i | \(0.547803\pi\) | |||||||
\(180\) | 18.2778 | − | 14.2018i | 1.36234 | − | 1.05854i | ||||
\(181\) | −7.63694 | + | 5.54857i | −0.567650 | + | 0.412422i | −0.834251 | − | 0.551385i | \(-0.814099\pi\) |
0.266601 | + | 0.963807i | \(0.414099\pi\) | |||||||
\(182\) | 2.75950 | − | 17.4228i | 0.204548 | − | 1.29147i | ||||
\(183\) | −2.58606 | + | 5.07543i | −0.191167 | + | 0.375187i | ||||
\(184\) | 0.213446 | − | 0.656920i | 0.0157355 | − | 0.0484287i | ||||
\(185\) | −14.8817 | + | 8.19725i | −1.09413 | + | 0.602674i | ||||
\(186\) | 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 | ||||
\(190\) | 15.4384 | − | 16.4674i | 1.12002 | − | 1.19467i | ||||
\(191\) | −2.00020 | − | 6.15597i | −0.144729 | − | 0.445430i | 0.852247 | − | 0.523140i | \(-0.175239\pi\) |
−0.996976 | + | 0.0777092i | \(0.975239\pi\) | |||||||
\(192\) | 5.27817 | + | 0.835981i | 0.380919 | + | 0.0603317i | ||||
\(193\) | 0.994245 | + | 0.157473i | 0.0715674 | + | 0.0113352i | 0.192115 | − | 0.981372i | \(-0.438465\pi\) |
−0.120548 | + | 0.992707i | \(0.538465\pi\) | |||||||
\(194\) | −10.8424 | − | 33.3693i | −0.778436 | − | 2.39578i | ||||
\(195\) | 3.75401 | − | 0.121066i | 0.268830 | − | 0.00866973i | ||||
\(196\) | −1.06084 | − | 0.770746i | −0.0757744 | − | 0.0550533i | ||||
\(197\) | 17.3425 | − | 17.3425i | 1.23560 | − | 1.23560i | 0.273821 | − | 0.961781i | \(-0.411713\pi\) |
0.961781 | − | 0.273821i | \(-0.0882874\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 3.25580i | − | 0.230797i | −0.993319 | − | 0.115399i | \(-0.963185\pi\) | ||
0.993319 | − | 0.115399i | \(-0.0368146\pi\) | |||||||
\(200\) | 17.5198 | + | 15.3946i | 1.23884 | + | 1.08856i | ||||
\(201\) | 0.769684 | − | 2.36884i | 0.0542893 | − | 0.167085i | ||||
\(202\) | −2.13715 | + | 4.19440i | −0.150370 | + | 0.295117i | ||||
\(203\) | 2.80288 | − | 17.6967i | 0.196723 | − | 1.24206i | ||||
\(204\) | 1.78977 | − | 1.30034i | 0.125309 | − | 0.0910422i | ||||
\(205\) | −4.72987 | − | 6.08736i | −0.330348 | − | 0.425160i | ||||
\(206\) | 3.97755 | + | 1.29238i | 0.277129 | + | 0.0900447i | ||||
\(207\) | −0.0612107 | − | 0.386469i | −0.00425444 | − | 0.0268615i | ||||
\(208\) | 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 | \(-0.126489\pi\) | |||||||
\(212\) | −14.3901 | + | 7.33212i | −0.988316 | + | 0.503572i | ||||
\(213\) | 0.674606 | + | 0.343729i | 0.0462232 | + | 0.0235519i | ||||
\(214\) | −5.94674 | − | 8.18498i | −0.406511 | − | 0.559514i | ||||
\(215\) | 2.33183 | + | 12.1695i | 0.159029 | + | 0.829951i | ||||
\(216\) | −14.9688 | + | 4.86367i | −1.01850 | + | 0.330931i | ||||
\(217\) | 10.6219 | + | 20.8467i | 0.721064 | + | 1.41517i | ||||
\(218\) | −7.74423 | + | 1.22657i | −0.524505 | + | 0.0830735i | ||||
\(219\) | 1.05932 | 0.0715822 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.65237 | −0.178418 | ||||||||
\(222\) | 10.9173 | − | 1.72912i | 0.732718 | − | 0.116051i | ||||
\(223\) | −8.89368 | − | 17.4548i | −0.595565 | − | 1.16886i | −0.970339 | − | 0.241746i | \(-0.922280\pi\) |
0.374774 | − | 0.927116i | \(-0.377720\pi\) | |||||||
\(224\) | 1.93038 | − | 0.627220i | 0.128979 | − | 0.0419079i | ||||
\(225\) | 12.8022 | + | 3.26460i | 0.853478 | + | 0.217640i | ||||
\(226\) | 15.9473 | + | 21.9496i | 1.06080 | + | 1.46007i | ||||
\(227\) | −0.911427 | − | 0.464395i | −0.0604935 | − | 0.0308230i | 0.423482 | − | 0.905904i | \(-0.360808\pi\) |
−0.483976 | + | 0.875081i | \(0.660808\pi\) | |||||||
\(228\) | −8.66228 | + | 4.41365i | −0.573674 | + | 0.292301i | ||||
\(229\) | −0.0598653 | + | 0.0823975i | −0.00395601 | + | 0.00544498i | −0.810990 | − | 0.585059i | \(-0.801071\pi\) |
0.807034 | + | 0.590504i | \(0.201071\pi\) | |||||||
\(230\) | 0.757637 | − | 0.273470i | 0.0499571 | − | 0.0180321i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 22.8903 | + | 22.8903i | 1.50282 | + | 1.50282i | ||||
\(233\) | −3.34771 | − | 21.1366i | −0.219316 | − | 1.38470i | −0.814056 | − | 0.580786i | \(-0.802745\pi\) |
0.594740 | − | 0.803918i | \(-0.297255\pi\) | |||||||
\(234\) | 17.1708 | + | 5.57912i | 1.12249 | + | 0.364719i | ||||
\(235\) | −2.34577 | − | 0.294379i | −0.153021 | − | 0.0192032i | ||||
\(236\) | 20.5431 | − | 14.9254i | 1.33724 | − | 0.971562i | ||||
\(237\) | −0.406194 | + | 2.56461i | −0.0263851 | + | 0.166589i | ||||
\(238\) | 2.69240 | − | 5.28413i | 0.174522 | − | 0.342519i | ||||
\(239\) | −2.67723 | + | 8.23966i | −0.173175 | + | 0.532979i | −0.999545 | − | 0.0301483i | \(-0.990402\pi\) |
0.826370 | + | 0.563128i | \(0.190402\pi\) | |||||||
\(240\) | −2.26572 | − | 4.11331i | −0.146252 | − | 0.265513i | ||||
\(241\) | − | 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 | ||||
\(245\) | −0.0241252 | − | 0.748071i | −0.00154130 | − | 0.0477925i | ||||
\(246\) | 1.54980 | + | 4.76980i | 0.0988118 | + | 0.304111i | ||||
\(247\) | 11.5124 | + | 1.82339i | 0.732518 | + | 0.116020i | ||||
\(248\) | −41.7515 | − | 6.61279i | −2.65123 | − | 0.419913i | ||||
\(249\) | −1.53225 | − | 4.71578i | −0.0971023 | − | 0.298850i | ||||
\(250\) | −1.64072 | + | 27.1477i | −0.103769 | + | 1.71697i | ||||
\(251\) | 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 | ||||||||
\(255\) | 1.21289 | + | 0.351296i | 0.0759543 | + | 0.0219990i | ||||
\(256\) | −9.63584 | + | 29.6561i | −0.602240 | + | 1.85350i | ||||
\(257\) | 8.37149 | − | 16.4300i | 0.522199 | − | 1.02487i | −0.467804 | − | 0.883832i | \(-0.654955\pi\) |
0.990004 | − | 0.141042i | \(-0.0450452\pi\) | |||||||
\(258\) | 1.26105 | − | 7.96198i | 0.0785097 | − | 0.495691i | ||||
\(259\) | 15.8700 | − | 11.5302i | 0.986111 | − | 0.716451i | ||||
\(260\) | −3.06368 | + | 24.4130i | −0.190001 | + | 1.51403i | ||||
\(261\) | 17.4407 | + | 5.66681i | 1.07955 | + | 0.350767i | ||||
\(262\) | 1.18906 | + | 7.50744i | 0.0734605 | + | 0.463811i | ||||
\(263\) | −11.8928 | − | 11.8928i | −0.733342 | − | 0.733342i | 0.237938 | − | 0.971280i | \(-0.423528\pi\) |
−0.971280 | + | 0.237938i | \(0.923528\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.34434 | − | 3.91817i | −0.512589 | − | 0.240691i | ||||
\(266\) | −15.3188 | + | 21.0845i | −0.939254 | + | 1.29277i | ||||
\(267\) | 2.25440 | − | 1.14868i | 0.137967 | − | 0.0702978i | ||||
\(268\) | 14.5380 | + | 7.40747i | 0.888049 | + | 0.452483i | ||||
\(269\) | −16.7264 | − | 23.0219i | −1.01983 | − | 1.40367i | −0.912325 | − | 0.409467i | \(-0.865715\pi\) |
−0.107502 | − | 0.994205i | \(-0.534285\pi\) | |||||||
\(270\) | −15.1887 | − | 10.3040i | −0.924358 | − | 0.627082i | ||||
\(271\) | 28.2295 | − | 9.17232i | 1.71482 | − | 0.557179i | 0.723696 | − | 0.690118i | \(-0.242442\pi\) |
0.991124 | + | 0.132939i | \(0.0424416\pi\) | |||||||
\(272\) | 1.50554 | + | 2.95479i | 0.0912868 | + | 0.179160i | ||||
\(273\) | −4.28317 | + | 0.678387i | −0.259229 | + | 0.0410578i | ||||
\(274\) | 40.2251 | 2.43009 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.346917 | −0.0208820 | ||||||||
\(277\) | −12.2668 | + | 1.94287i | −0.737041 | + | 0.116736i | −0.513658 | − | 0.857995i | \(-0.671710\pi\) |
−0.223383 | + | 0.974731i | \(0.571710\pi\) | |||||||
\(278\) | 4.77141 | + | 9.36443i | 0.286170 | + | 0.561641i | ||||
\(279\) | −22.7745 | + | 7.39987i | −1.36347 | + | 0.443019i | ||||
\(280\) | −22.2838 | − | 15.1173i | −1.33171 | − | 0.903430i | ||||
\(281\) | −12.8578 | − | 17.6972i | −0.767032 | − | 1.05573i | −0.996596 | − | 0.0824357i | \(-0.973730\pi\) |
0.229564 | − | 0.973294i | \(-0.426270\pi\) | |||||||
\(282\) | 1.37044 | + | 0.698273i | 0.0816083 | + | 0.0415815i | ||||
\(283\) | −24.2332 | + | 12.3474i | −1.44051 | + | 0.733978i | −0.987514 | − | 0.157532i | \(-0.949646\pi\) |
−0.453000 | + | 0.891511i | \(0.649646\pi\) | |||||||
\(284\) | −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 | ||||
\(288\) | 0.324978 | + | 2.05183i | 0.0191495 | + | 0.120905i | ||||
\(289\) | 15.3199 | + | 4.97773i | 0.901170 | + | 0.292808i | ||||
\(290\) | −4.70051 | + | 37.4562i | −0.276024 | + | 2.19950i | ||||
\(291\) | −6.97823 | + | 5.06998i | −0.409071 | + | 0.297207i | ||||
\(292\) | −1.08556 | + | 6.85394i | −0.0635274 | + | 0.401096i | ||||
\(293\) | −9.13077 | + | 17.9201i | −0.533425 | + | 1.04691i | 0.454321 | + | 0.890838i | \(0.349882\pi\) |
−0.987746 | + | 0.156068i | \(0.950118\pi\) | |||||||
\(294\) | −0.150470 | + | 0.463100i | −0.00877560 | + | 0.0270085i | ||||
\(295\) | 13.9217 | + | 4.03220i | 0.810551 | + | 0.234764i | ||||
\(296\) | 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 | ||||
\(300\) | 4.63438 | − | 10.7580i | 0.267566 | − | 0.621111i | ||||
\(301\) | −4.42087 | − | 13.6060i | −0.254815 | − | 0.784239i | ||||
\(302\) | −28.6691 | − | 4.54074i | −1.64972 | − | 0.261290i | ||||
\(303\) | 1.14302 | + | 0.181037i | 0.0656650 | + | 0.0104003i | ||||
\(304\) | −4.50340 | − | 13.8600i | −0.258288 | − | 0.794927i | ||||
\(305\) | −0.686536 | − | 21.2880i | −0.0393109 | − | 1.21895i | ||||
\(306\) | 4.91061 | + | 3.56777i | 0.280721 | + | 0.203956i | ||||
\(307\) | −14.6921 | + | 14.6921i | −0.838520 | + | 0.838520i | −0.988664 | − | 0.150144i | \(-0.952026\pi\) |
0.150144 | + | 0.988664i | \(0.452026\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 1.02815i | − | 0.0584893i | ||||||
\(310\) | −23.7835 | − | 43.1779i | −1.35081 | − | 2.45234i | ||||
\(311\) | 7.19358 | − | 22.1396i | 0.407911 | − | 1.25542i | −0.510530 | − | 0.859860i | \(-0.670551\pi\) |
0.918440 | − | 0.395560i | \(-0.129449\pi\) | |||||||
\(312\) | 3.55703 | − | 6.98106i | 0.201377 | − | 0.395225i | ||||
\(313\) | 2.19289 | − | 13.8454i | 0.123950 | − | 0.782587i | −0.844898 | − | 0.534928i | \(-0.820339\pi\) |
0.968847 | − | 0.247659i | \(-0.0796612\pi\) | |||||||
\(314\) | −2.67948 | + | 1.94676i | −0.151212 | + | 0.109862i | ||||
\(315\) | −15.1354 | − | 1.89940i | −0.852785 | − | 0.107019i | ||||
\(316\) | −16.1771 | − | 5.25626i | −0.910032 | − | 0.295687i | ||||
\(317\) | 4.61482 | + | 29.1369i | 0.259194 | + | 1.63649i | 0.682774 | + | 0.730630i | \(0.260773\pi\) |
−0.423580 | + | 0.905859i | \(0.639227\pi\) | |||||||
\(318\) | 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 | ||||
\(322\) | −0.828629 | + | 0.422208i | −0.0461777 | + | 0.0235287i | ||||
\(323\) | 3.49158 | + | 1.77905i | 0.194277 | + | 0.0989889i | ||||
\(324\) | −13.6069 | − | 18.7283i | −0.755940 | − | 1.04046i | ||||
\(325\) | −12.0765 | + | 7.16885i | −0.669882 | + | 0.397656i | ||||
\(326\) | 53.0803 | − | 17.2468i | 2.93985 | − | 0.955215i | ||||
\(327\) | 0.875087 | + | 1.71746i | 0.0483924 | + | 0.0949755i | ||||
\(328\) | −15.8830 | + | 2.51563i | −0.876994 | + | 0.138902i | ||||
\(329\) | 2.72962 | 0.150489 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.18560 | 0.120131 | 0.0600657 | − | 0.998194i | \(-0.480869\pi\) | ||||
0.0600657 | + | 0.998194i | \(0.480869\pi\) | |||||||
\(332\) | 32.0819 | − | 5.08128i | 1.76072 | − | 0.278871i | ||||
\(333\) | 9.11485 | + | 17.8889i | 0.499491 | + | 0.980306i | ||||
\(334\) | −33.2232 | + | 10.7949i | −1.81789 | + | 0.590670i | ||||
\(335\) | 1.75265 | + | 9.14681i | 0.0957573 | + | 0.499743i | ||||
\(336\) | 3.18694 | + | 4.38645i | 0.173862 | + | 0.239301i | ||||
\(337\) | 1.60560 | + | 0.818095i | 0.0874627 | + | 0.0445645i | 0.497175 | − | 0.867650i | \(-0.334371\pi\) |
−0.409712 | + | 0.912215i | \(0.634371\pi\) | |||||||
\(338\) | 11.0771 | − | 5.64408i | 0.602516 | − | 0.306997i | ||||
\(339\) | 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 | ||||
\(343\) | 2.96227 | + | 18.7031i | 0.159948 | + | 1.00987i | ||||
\(344\) | 24.5826 | + | 7.98736i | 1.32540 | + | 0.430650i | ||||
\(345\) | −0.121494 | − | 0.156364i | −0.00654104 | − | 0.00841835i | ||||
\(346\) | 43.8896 | − | 31.8877i | 2.35952 | − | 1.71429i | ||||
\(347\) | −3.35900 | + | 21.2079i | −0.180321 | + | 1.13850i | 0.716984 | + | 0.697090i | \(0.245522\pi\) |
−0.897305 | + | 0.441411i | \(0.854478\pi\) | |||||||
\(348\) | 7.38132 | − | 14.4867i | 0.395680 | − | 0.776566i | ||||
\(349\) | 3.29300 | − | 10.1348i | 0.176270 | − | 0.542505i | −0.823419 | − | 0.567434i | \(-0.807936\pi\) |
0.999689 | + | 0.0249295i | \(0.00793612\pi\) | |||||||
\(350\) | −2.02327 | − | 31.3361i | −0.108148 | − | 1.67498i | ||||
\(351\) | − | 9.47758i | − | 0.505876i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −7.73857 | + | 7.73857i | −0.411883 | + | 0.411883i | −0.882394 | − | 0.470511i | \(-0.844069\pi\) |
0.470511 | + | 0.882394i | \(0.344069\pi\) | |||||||
\(354\) | −7.62853 | − | 5.54245i | −0.405452 | − | 0.294578i | ||||
\(355\) | −2.82952 | + | 0.0912516i | −0.150175 | + | 0.00484313i | ||||
\(356\) | 5.12185 | + | 15.7634i | 0.271457 | + | 0.835460i | ||||
\(357\) | −1.43999 | − | 0.228072i | −0.0762123 | − | 0.0120708i | ||||
\(358\) | 10.4952 | + | 1.66228i | 0.554691 | + | 0.0878544i | ||||
\(359\) | 1.01178 | + | 3.11394i | 0.0533997 | + | 0.164347i | 0.974200 | − | 0.225688i | \(-0.0724629\pi\) |
−0.920800 | + | 0.390035i | \(0.872463\pi\) | |||||||
\(360\) | 18.8498 | − | 20.1061i | 0.993471 | − | 1.05968i | ||||
\(361\) | 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 | ||||||
\(365\) | −3.46941 | + | 1.91104i | −0.181597 | + | 0.100029i | ||||
\(366\) | −4.28197 | + | 13.1785i | −0.223822 | + | 0.688853i | ||||
\(367\) | −8.27615 | + | 16.2428i | −0.432011 | + | 0.847870i | 0.567686 | + | 0.823246i | \(0.307839\pi\) |
−0.999697 | + | 0.0246243i | \(0.992161\pi\) | |||||||
\(368\) | 0.0813513 | − | 0.513632i | 0.00424073 | − | 0.0267749i | ||||
\(369\) | −7.36989 | + | 5.35454i | −0.383661 | + | 0.278746i | ||||
\(370\) | −32.6361 | + | 25.3582i | −1.69667 | + | 1.31831i | ||||
\(371\) | 10.1225 | + | 3.28901i | 0.525536 | + | 0.170757i | ||||
\(372\) | 3.32128 | + | 20.9697i | 0.172200 | + | 1.08723i | ||||
\(373\) | 12.4917 | + | 12.4917i | 0.646795 | + | 0.646795i | 0.952217 | − | 0.305422i | \(-0.0987976\pi\) |
−0.305422 | + | 0.952217i | \(0.598798\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 6.47189 | − | 1.67874i | 0.334207 | − | 0.0866895i | ||||
\(376\) | −2.89879 | + | 3.98984i | −0.149494 | + | 0.205760i | ||||
\(377\) | −17.3686 | + | 8.84972i | −0.894526 | + | 0.455784i | ||||
\(378\) | 18.8815 | + | 9.62060i | 0.971160 | + | 0.494831i | ||||
\(379\) | 12.9685 | + | 17.8496i | 0.666146 | + | 0.916872i | 0.999665 | − | 0.0258717i | \(-0.00823614\pi\) |
−0.333519 | + | 0.942743i | \(0.608236\pi\) | |||||||
\(380\) | 20.4078 | − | 30.0823i | 1.04690 | − | 1.54319i | ||||
\(381\) | 1.35080 | − | 0.438903i | 0.0692038 | − | 0.0224857i | ||||
\(382\) | −7.14836 | − | 14.0294i | −0.365742 | − | 0.717809i | ||||
\(383\) | −19.4473 | + | 3.08015i | −0.993712 | + | 0.157389i | −0.632056 | − | 0.774923i | \(-0.717789\pi\) |
−0.361656 | + | 0.932311i | \(0.617789\pi\) | |||||||
\(384\) | 12.0594 | 0.615402 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 2.44874 | 0.124638 | ||||||||
\(387\) | 14.4621 | − | 2.29057i | 0.735148 | − | 0.116436i | ||||
\(388\) | −25.6524 | − | 50.3457i | −1.30230 | − | 2.55591i | ||||
\(389\) | 16.2827 | − | 5.29057i | 0.825565 | − | 0.268242i | 0.134389 | − | 0.990929i | \(-0.457093\pi\) |
0.691176 | + | 0.722686i | \(0.257093\pi\) | |||||||
\(390\) | 8.97347 | − | 1.71943i | 0.454389 | − | 0.0870669i | ||||
\(391\) | 0.0821929 | + | 0.113129i | 0.00415667 | + | 0.00572117i | ||||
\(392\) | −1.39113 | − | 0.708818i | −0.0702629 | − | 0.0358007i | ||||
\(393\) | 1.66494 | − | 0.848330i | 0.0839852 | − | 0.0427926i | ||||
\(394\) | 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 | 0.826447 | − | 0.563014i | \(-0.190358\pi\) |
−0.563014 | + | 0.826447i | \(0.690358\pi\) | |||||||
\(398\) | −1.23896 | − | 7.82252i | −0.0621037 | − | 0.392107i | ||||
\(399\) | 6.09337 | + | 1.97986i | 0.305050 | + | 0.0991168i | ||||
\(400\) | 14.8411 | + | 9.38420i | 0.742053 | + | 0.469210i | ||||
\(401\) | −9.93091 | + | 7.21523i | −0.495926 | + | 0.360311i | −0.807459 | − | 0.589924i | \(-0.799158\pi\) |
0.311533 | + | 0.950235i | \(0.399158\pi\) | |||||||
\(402\) | 0.947832 | − | 5.98438i | 0.0472736 | − | 0.298474i | ||||
\(403\) | 11.5562 | − | 22.6803i | 0.575655 | − | 1.12979i | ||||
\(404\) | −2.34267 | + | 7.21000i | −0.116552 | + | 0.358711i | ||||
\(405\) | 3.67600 | − | 12.6919i | 0.182662 | − | 0.630663i | ||||
\(406\) | − | 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 | 0.975993 | − | 0.217802i | \(-0.0698887\pi\) |
0.0944563 | + | 0.995529i | \(0.469889\pi\) | |||||||
\(410\) | −13.6807 | − | 12.8258i | −0.675640 | − | 0.633423i | ||||
\(411\) | −3.05581 | − | 9.40481i | −0.150732 | − | 0.463905i | ||||
\(412\) | 6.65226 | + | 1.05361i | 0.327733 | + | 0.0519079i | ||||
\(413\) | −16.5283 | − | 2.61782i | −0.813304 | − | 0.128815i | ||||
\(414\) | −0.294135 | − | 0.905254i | −0.0144559 | − | 0.0444908i | ||||
\(415\) | 13.5257 | + | 12.6806i | 0.663952 | + | 0.622465i | ||||
\(416\) | −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 | \(-0.886916\pi\) | ||
0.937555 | − | 0.347838i | \(-0.113084\pi\) | |||||||
\(420\) | −3.76251 | + | 12.9905i | −0.183592 | + | 0.633872i | ||||
\(421\) | −2.13413 | + | 6.56818i | −0.104011 | + | 0.320113i | −0.989497 | − | 0.144553i | \(-0.953826\pi\) |
0.885486 | + | 0.464666i | \(0.153826\pi\) | |||||||
\(422\) | 27.4341 | − | 53.8425i | 1.33547 | − | 2.62101i | ||||
\(423\) | −0.437039 | + | 2.75935i | −0.0212496 | + | 0.134164i | ||||
\(424\) | −15.5574 | + | 11.3031i | −0.755532 | + | 0.548926i | ||||
\(425\) | −4.60614 | + | 1.03755i | −0.223430 | + | 0.0503288i | ||||
\(426\) | 1.75164 | + | 0.569142i | 0.0848672 | + | 0.0275750i | ||||
\(427\) | 3.84696 | + | 24.2888i | 0.186168 | + | 1.17542i | ||||
\(428\) | −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 | \(0.144995\pi\) | |||||||
\(432\) | −10.5582 | + | 5.37966i | −0.507981 | + | 0.258829i | ||||
\(433\) | 14.9712 | + | 7.62822i | 0.719471 | + | 0.366589i | 0.775079 | − | 0.631864i | \(-0.217710\pi\) |
−0.0556084 | + | 0.998453i | \(0.517710\pi\) | |||||||
\(434\) | 33.4538 | + | 46.0451i | 1.60583 | + | 2.21024i | ||||
\(435\) | 9.11451 | − | 1.74646i | 0.437007 | − | 0.0837363i | ||||
\(436\) | −12.0089 | + | 3.90194i | −0.575124 | + | 0.186869i | ||||
\(437\) | −0.278981 | − | 0.547531i | −0.0133455 | − | 0.0261920i | ||||
\(438\) | 2.54516 | − | 0.403114i | 0.121613 | − | 0.0192616i | ||||
\(439\) | 0.772934 | 0.0368901 | 0.0184451 | − | 0.999830i | \(-0.494128\pi\) | ||||
0.0184451 | + | 0.999830i | \(0.494128\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.884459 | −0.0421171 | ||||||||
\(442\) | −6.37271 | + | 1.00934i | −0.303119 | + | 0.0480093i | ||||
\(443\) | −8.53040 | − | 16.7419i | −0.405292 | − | 0.795430i | 0.594672 | − | 0.803968i | \(-0.297282\pi\) |
−0.999964 | + | 0.00853887i | \(0.997282\pi\) | |||||||
\(444\) | 16.9293 | − | 5.50067i | 0.803430 | − | 0.261050i | ||||
\(445\) | −5.31122 | + | 7.82908i | −0.251776 | + | 0.371134i | ||||
\(446\) | −28.0106 | − | 38.5533i | −1.32634 | − | 1.82555i | ||||
\(447\) | −4.49965 | − | 2.29269i | −0.212826 | − | 0.108440i | ||||
\(448\) | 20.5560 | − | 10.4738i | 0.971179 | − | 0.494840i | ||||
\(449\) | 0.419317 | − | 0.577140i | 0.0197888 | − | 0.0272369i | −0.799008 | − | 0.601320i | \(-0.794642\pi\) |
0.818797 | + | 0.574084i | \(0.194642\pi\) | |||||||
\(450\) | 32.0014 | + | 2.97190i | 1.50856 | + | 0.140097i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 30.8954 | + | 30.8954i | 1.45320 | + | 1.45320i | ||||
\(453\) | 1.11628 | + | 7.04792i | 0.0524474 | + | 0.331140i | ||||
\(454\) | −2.36655 | − | 0.768940i | −0.111068 | − | 0.0360882i | ||||
\(455\) | 12.8041 | − | 9.94877i | 0.600266 | − | 0.466405i | ||||
\(456\) | −9.36493 | + | 6.80402i | −0.438553 | + | 0.318628i | ||||
\(457\) | −3.02622 | + | 19.1068i | −0.141561 | + | 0.893780i | 0.810025 | + | 0.586396i | \(0.199454\pi\) |
−0.951586 | + | 0.307384i | \(0.900546\pi\) | |||||||
\(458\) | −0.112479 | + | 0.220753i | −0.00525581 | + | 0.0103151i | ||||
\(459\) | 0.984632 | − | 3.03039i | 0.0459587 | − | 0.141446i | ||||
\(460\) | 1.13620 | − | 0.625849i | 0.0529756 | − | 0.0291804i | ||||
\(461\) | 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 | −0.982568 | − | 0.185904i | \(-0.940479\pi\) |
0.185904 | + | 0.982568i | \(0.440479\pi\) | |||||||
\(464\) | 19.7175 | + | 14.3256i | 0.915361 | + | 0.665049i | ||||
\(465\) | −8.28841 | + | 8.84082i | −0.384366 | + | 0.409983i | ||||
\(466\) | −16.0867 | − | 49.5097i | −0.745201 | − | 2.29349i | ||||
\(467\) | −14.6373 | − | 2.31832i | −0.677333 | − | 0.107279i | −0.191715 | − | 0.981451i | \(-0.561405\pi\) |
−0.485617 | + | 0.874172i | \(0.661405\pi\) | |||||||
\(468\) | 28.7173 | + | 4.54837i | 1.32746 | + | 0.210249i | ||||
\(469\) | −3.32281 | − | 10.2266i | −0.153433 | − | 0.472219i | ||||
\(470\) | −5.74807 | + | 0.185374i | −0.265139 | + | 0.00855068i | ||||
\(471\) | 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 | ||||||||
\(475\) | 20.7059 | − | 1.33691i | 0.950050 | − | 0.0613417i | ||||
\(476\) | 2.95131 | − | 9.08320i | 0.135273 | − | 0.416328i | ||||
\(477\) | −4.94555 | + | 9.70618i | −0.226441 | + | 0.444416i | ||||
\(478\) | −3.29689 | + | 20.8157i | −0.150796 | + | 0.952090i | ||||
\(479\) | 22.3176 | − | 16.2146i | 1.01971 | − | 0.740866i | 0.0534905 | − | 0.998568i | \(-0.482965\pi\) |
0.966224 | + | 0.257702i | \(0.0829653\pi\) | |||||||
\(480\) | 0.645035 | + | 0.830163i | 0.0294417 | + | 0.0378916i | ||||
\(481\) | −20.2972 | − | 6.59495i | −0.925471 | − | 0.300704i | ||||
\(482\) | −4.05246 | − | 25.5862i | −0.184585 | − | 1.16542i | ||||
\(483\) | 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 | ||||
\(487\) | −34.6563 | + | 17.6583i | −1.57043 | + | 0.800174i | −0.999779 | − | 0.0210198i | \(-0.993309\pi\) |
−0.570650 | + | 0.821193i | \(0.693309\pi\) | |||||||
\(488\) | −39.5879 | − | 20.1710i | −1.79206 | − | 0.913099i | ||||
\(489\) | −8.06478 | − | 11.1002i | −0.364702 | − | 0.501969i | ||||
\(490\) | −0.342636 | − | 1.78817i | −0.0154787 | − | 0.0807811i | ||||
\(491\) | −17.8811 | + | 5.80992i | −0.806962 | + | 0.262198i | −0.683311 | − | 0.730128i | \(-0.739461\pi\) |
−0.123652 | + | 0.992326i | \(0.539461\pi\) | |||||||
\(492\) | 3.66674 | + | 7.19639i | 0.165310 | + | 0.324438i | ||||
\(493\) | −6.47287 | + | 1.02520i | −0.291523 | + | 0.0461728i | ||||
\(494\) | 28.3541 | 1.27571 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −31.8258 | −1.42902 | ||||||||
\(497\) | 3.22837 | − | 0.511323i | 0.144812 | − | 0.0229360i | ||||
\(498\) | −5.47599 | − | 10.7472i | −0.245385 | − | 0.481595i | ||||
\(499\) | 4.98327 | − | 1.61916i | 0.223082 | − | 0.0724837i | −0.195343 | − | 0.980735i | \(-0.562582\pi\) |
0.418425 | + | 0.908251i | \(0.362582\pi\) | |||||||
\(500\) | 4.22946 | + | 43.5943i | 0.189147 | + | 1.94960i | ||||
\(501\) | 5.04778 | + | 6.94768i | 0.225518 | + | 0.310399i | ||||
\(502\) | 20.3590 | + | 10.3734i | 0.908668 | + | 0.462990i | ||||
\(503\) | −11.7545 | + | 5.98921i | −0.524106 | + | 0.267046i | −0.695965 | − | 0.718076i | \(-0.745023\pi\) |
0.171858 | + | 0.985122i | \(0.445023\pi\) | |||||||
\(504\) | −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 | ||||
\(508\) | 1.45550 | + | 9.18967i | 0.0645774 | + | 0.407726i | ||||
\(509\) | 5.32193 | + | 1.72920i | 0.235890 | + | 0.0766454i | 0.424577 | − | 0.905392i | \(-0.360423\pi\) |
−0.188686 | + | 0.982037i | \(0.560423\pi\) | |||||||
\(510\) | 3.04783 | + | 0.382483i | 0.134960 | + | 0.0169367i | ||||
\(511\) | 3.69980 | − | 2.68806i | 0.163669 | − | 0.118913i | ||||
\(512\) | −5.55696 | + | 35.0853i | −0.245585 | + | 1.55056i | ||||
\(513\) | −6.35698 | + | 12.4763i | −0.280667 | + | 0.550841i | ||||
\(514\) | 13.8614 | − | 42.6611i | 0.611401 | − | 1.88170i | ||||
\(515\) | 1.85481 | + | 3.36732i | 0.0817327 | + | 0.148382i | ||||
\(516\) | − | 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 | ||||
\(520\) | 0.944304 | + | 29.2809i | 0.0414105 | + | 1.28405i | ||||
\(521\) | 5.89515 | + | 18.1434i | 0.258271 | + | 0.794877i | 0.993168 | + | 0.116697i | \(0.0372308\pi\) |
−0.734896 | + | 0.678179i | \(0.762769\pi\) | |||||||
\(522\) | 44.0601 | + | 6.97844i | 1.92846 | + | 0.305438i | ||||
\(523\) | 34.6664 | + | 5.49061i | 1.51585 | + | 0.240088i | 0.858233 | − | 0.513261i | \(-0.171563\pi\) |
0.657621 | + | 0.753349i | \(0.271563\pi\) | |||||||
\(524\) | 3.78263 | + | 11.6417i | 0.165245 | + | 0.508572i | ||||
\(525\) | −7.17282 | + | 2.85358i | −0.313047 | + | 0.124540i | ||||
\(526\) | −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 | ||||||||
\(530\) | −21.5395 | − | 6.23859i | −0.935616 | − | 0.270987i | ||||
\(531\) | 5.29267 | − | 16.2892i | 0.229682 | − | 0.706890i | ||||
\(532\) | −19.0542 | + | 37.3961i | −0.826106 | + | 1.62132i | ||||
\(533\) | 1.51482 | − | 9.56421i | 0.0656143 | − | 0.414272i | ||||
\(534\) | 4.97940 | − | 3.61775i | 0.215480 | − | 0.156555i | ||||
\(535\) | 1.15799 | − | 9.22747i | 0.0500642 | − | 0.398938i | ||||
\(536\) | 18.4767 | + | 6.00346i | 0.798074 | + | 0.259310i | ||||
\(537\) | −0.408650 | − | 2.58011i | −0.0176345 | − | 0.111340i | ||||
\(538\) | −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 | \(0.182606\pi\) | |||||||
\(542\) | 64.3350 | − | 32.7803i | 2.76342 | − | 1.40803i | ||||
\(543\) | 5.02989 | + | 2.56286i | 0.215853 | + | 0.109983i | ||||
\(544\) | −0.436376 | − | 0.600621i | −0.0187095 | − | 0.0257514i | ||||
\(545\) | −5.96437 | − | 4.04621i | −0.255486 | − | 0.173321i | ||||
\(546\) | −10.0328 | + | 3.25984i | −0.429363 | + | 0.139508i | ||||
\(547\) | −6.73017 | − | 13.2087i | −0.287761 | − | 0.564764i | 0.701195 | − | 0.712969i | \(-0.252650\pi\) |
−0.988957 | + | 0.148206i | \(0.952650\pi\) | |||||||
\(548\) | 63.9819 | − | 10.1337i | 2.73317 | − | 0.432892i | ||||
\(549\) | −25.1693 | −1.07420 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 28.7998 | 1.22691 | ||||||||
\(552\) | −0.407982 | + | 0.0646180i | −0.0173649 | + | 0.00275033i | ||||
\(553\) | 5.08910 | + | 9.98792i | 0.216411 | + | 0.424730i | ||||
\(554\) | −28.7334 | + | 9.33604i | −1.22076 | + | 0.396650i | ||||
\(555\) | 8.40814 | + | 5.70406i | 0.356906 | + | 0.242124i | ||||
\(556\) | 9.94853 | + | 13.6930i | 0.421912 | + | 0.580712i | ||||
\(557\) | −11.3704 | − | 5.79353i | −0.481781 | − | 0.245480i | 0.196194 | − | 0.980565i | \(-0.437142\pi\) |
−0.677974 | + | 0.735086i | \(0.737142\pi\) | |||||||
\(558\) | −51.9029 | + | 26.4459i | −2.19723 | + | 1.11954i | ||||
\(559\) | −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 | ||||
\(563\) | −5.24553 | − | 33.1190i | −0.221073 | − | 1.39580i | −0.809439 | − | 0.587204i | \(-0.800229\pi\) |
0.588367 | − | 0.808594i | \(-0.299771\pi\) | |||||||
\(564\) | 2.35572 | + | 0.765421i | 0.0991939 | + | 0.0322300i | ||||
\(565\) | −3.10537 | + | 24.7452i | −0.130644 | + | 1.04104i | ||||
\(566\) | −53.5250 | + | 38.8882i | −2.24982 | + | 1.63459i | ||||
\(567\) | −2.38657 | + | 15.0682i | −0.100226 | + | 0.632805i | ||||
\(568\) | −2.68105 | + | 5.26186i | −0.112494 | + | 0.220783i | ||||
\(569\) | 2.57065 | − | 7.91165i | 0.107767 | − | 0.331674i | −0.882603 | − | 0.470120i | \(-0.844211\pi\) |
0.990370 | + | 0.138446i | \(0.0442107\pi\) | |||||||
\(570\) | −12.9659 | − | 3.75539i | −0.543084 | − | 0.157296i | ||||
\(571\) | 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 | ||||
\(575\) | 0.679996 | + | 0.292933i | 0.0283578 | + | 0.0122161i | ||||
\(576\) | 7.29667 | + | 22.4568i | 0.304028 | + | 0.935701i | ||||
\(577\) | −22.6517 | − | 3.58768i | −0.943005 | − | 0.149357i | −0.334044 | − | 0.942558i | \(-0.608413\pi\) |
−0.608961 | + | 0.793200i | \(0.708413\pi\) | |||||||
\(578\) | 38.7024 | + | 6.12986i | 1.60981 | + | 0.254969i | ||||
\(579\) | −0.186025 | − | 0.572526i | −0.00773094 | − | 0.0237934i | ||||
\(580\) | 1.95956 | + | 60.7618i | 0.0813663 | + | 2.52300i | ||||
\(581\) | −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 | ||||||||
\(585\) | 8.00707 | + | 14.5365i | 0.331052 | + | 0.601009i | ||||
\(586\) | −15.1186 | + | 46.5303i | −0.624545 | + | 1.92215i | ||||
\(587\) | −4.58380 | + | 8.99622i | −0.189194 | + | 0.371314i | −0.966046 | − | 0.258369i | \(-0.916815\pi\) |
0.776853 | + | 0.629683i | \(0.216815\pi\) | |||||||
\(588\) | −0.122671 | + | 0.774512i | −0.00505885 | + | 0.0319403i | ||||
\(589\) | −30.4251 | + | 22.1051i | −1.25365 | + | 0.910827i | ||||
\(590\) | 34.9832 | + | 4.39017i | 1.44024 | + | 0.180740i | ||||
\(591\) | −13.9492 | − | 4.53236i | −0.573792 | − | 0.186436i | ||||
\(592\) | 4.17419 | + | 26.3548i | 0.171558 | + | 1.08318i | ||||
\(593\) | 9.47168 | + | 9.47168i | 0.388955 | + | 0.388955i | 0.874315 | − | 0.485359i | \(-0.161311\pi\) |
−0.485359 | + | 0.874315i | \(0.661311\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.12760 | − | 1.85082i | 0.210211 | − | 0.0758761i | ||||
\(596\) | 19.4451 | − | 26.7639i | 0.796503 | − | 1.09629i | ||||
\(597\) | −1.73482 | + | 0.883934i | −0.0710014 | + | 0.0361770i | ||||
\(598\) | 0.901512 | + | 0.459343i | 0.0368656 | + | 0.0187839i | ||||
\(599\) | −23.5167 | − | 32.3680i | −0.960866 | − | 1.32252i | −0.946528 | − | 0.322622i | \(-0.895436\pi\) |
−0.0143383 | − | 0.999897i | \(-0.504564\pi\) | |||||||
\(600\) | 3.44632 | − | 13.5148i | 0.140695 | − | 0.551740i | ||||
\(601\) | −34.5805 | + | 11.2359i | −1.41057 | + | 0.458322i | −0.912593 | − | 0.408869i | \(-0.865923\pi\) |
−0.497976 | + | 0.867191i | \(0.665923\pi\) | |||||||
\(602\) | −15.7994 | − | 31.0081i | −0.643937 | − | 1.26380i | ||||
\(603\) | 10.8700 | − | 1.72163i | 0.442659 | − | 0.0701103i | ||||
\(604\) | −46.7449 | −1.90202 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 2.81517 | 0.114358 | ||||||||
\(607\) | −24.6231 | + | 3.89991i | −0.999420 | + | 0.158293i | −0.634646 | − | 0.772803i | \(-0.718854\pi\) |
−0.364774 | + | 0.931096i | \(0.618854\pi\) | |||||||
\(608\) | 1.48116 | + | 2.90694i | 0.0600689 | + | 0.117892i | ||||
\(609\) | −10.1905 | + | 3.31108i | −0.412938 | + | 0.134172i | ||||
\(610\) | −9.75047 | − | 50.8863i | −0.394785 | − | 2.06033i | ||||
\(611\) | −1.74555 | − | 2.40254i | −0.0706174 | − | 0.0971965i | ||||
\(612\) | 8.70960 | + | 4.43777i | 0.352065 | + | 0.179386i | ||||
\(613\) | 10.4167 | − | 5.30759i | 0.420728 | − | 0.214372i | −0.230792 | − | 0.973003i | \(-0.574132\pi\) |
0.651520 | + | 0.758632i | \(0.274132\pi\) | |||||||
\(614\) | −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 | 0.820541 | − | 0.571588i | \(-0.193672\pi\) |
−0.571588 | + | 0.820541i | \(0.693672\pi\) | |||||||
\(618\) | −0.391253 | − | 2.47027i | −0.0157385 | − | 0.0993689i | ||||
\(619\) | 1.04489 | + | 0.339504i | 0.0419975 | + | 0.0136458i | 0.329940 | − | 0.944002i | \(-0.392971\pi\) |
−0.287943 | + | 0.957648i | \(0.592971\pi\) | |||||||
\(620\) | −48.7076 | − | 62.6869i | −1.95614 | − | 2.51757i | ||||
\(621\) | −0.404237 | + | 0.293695i | −0.0162215 | + | 0.0117856i | ||||
\(622\) | 8.85859 | − | 55.9309i | 0.355197 | − | 2.24263i | ||||
\(623\) | 4.95896 | − | 9.73251i | 0.198677 | − | 0.389925i | ||||
\(624\) | 1.82284 | − | 5.61013i | 0.0729721 | − | 0.224585i | ||||
\(625\) | −18.1678 | + | 17.1736i | −0.726712 | + | 0.686942i | ||||
\(626\) | − | 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 | ||||
\(630\) | −37.0878 | + | 1.19608i | −1.47762 | + | 0.0476529i | ||||
\(631\) | −1.00765 | − | 3.10124i | −0.0401140 | − | 0.123458i | 0.928994 | − | 0.370095i | \(-0.120675\pi\) |
−0.969108 | + | 0.246636i | \(0.920675\pi\) | |||||||
\(632\) | −20.0037 | − | 3.16827i | −0.795703 | − | 0.126027i | ||||
\(633\) | −14.6727 | − | 2.32393i | −0.583188 | − | 0.0923680i | ||||
\(634\) | 22.1755 | + | 68.2493i | 0.880703 | + | 2.71053i | ||||
\(635\) | −3.63227 | + | 3.87436i | −0.144142 | + | 0.153749i | ||||
\(636\) | 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 | ||||||||
\(640\) | −39.4960 | + | 21.7555i | −1.56122 | + | 0.859960i | ||||
\(641\) | −2.75407 | + | 8.47616i | −0.108779 | + | 0.334788i | −0.990599 | − | 0.136799i | \(-0.956319\pi\) |
0.881820 | + | 0.471587i | \(0.156319\pi\) | |||||||
\(642\) | −2.74677 | + | 5.39084i | −0.108406 | + | 0.212760i | ||||
\(643\) | −5.80382 | + | 36.6439i | −0.228880 | + | 1.44509i | 0.558950 | + | 0.829202i | \(0.311204\pi\) |
−0.787830 | + | 0.615893i | \(0.788796\pi\) | |||||||
\(644\) | −1.21165 | + | 0.880315i | −0.0477457 | + | 0.0346893i | ||||
\(645\) | 5.85129 | − | 4.54644i | 0.230394 | − | 0.179016i | ||||
\(646\) | 9.06602 | + | 2.94573i | 0.356698 | + | 0.115898i | ||||
\(647\) | −3.44966 | − | 21.7803i | −0.135620 | − | 0.856273i | −0.957882 | − | 0.287163i | \(-0.907288\pi\) |
0.822262 | − | 0.569110i | \(-0.192712\pi\) | |||||||
\(648\) | −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 | ||||
\(652\) | 80.0844 | − | 40.8051i | 3.13635 | − | 1.59805i | ||||
\(653\) | −43.2861 | − | 22.0554i | −1.69392 | − | 0.863093i | −0.987936 | − | 0.154861i | \(-0.950507\pi\) |
−0.705980 | − | 0.708232i | \(-0.749493\pi\) | |||||||
\(654\) | 2.75608 | + | 3.79342i | 0.107771 | + | 0.148335i | ||||
\(655\) | −3.92249 | + | 5.78200i | −0.153265 | + | 0.225921i | ||||
\(656\) | −11.5145 | + | 3.74130i | −0.449567 | + | 0.146073i | ||||
\(657\) | 2.12497 | + | 4.17048i | 0.0829028 | + | 0.162706i | ||||
\(658\) | 6.55831 | − | 1.03873i | 0.255669 | − | 0.0404941i | ||||
\(659\) | −47.3029 | −1.84266 | −0.921329 | − | 0.388783i | \(-0.872896\pi\) | ||||
−0.921329 | + | 0.388783i | \(0.872896\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −26.7159 | −1.03913 | −0.519564 | − | 0.854432i | \(-0.673906\pi\) | ||||
−0.519564 | + | 0.854432i | \(0.673906\pi\) | |||||||
\(662\) | 5.25121 | − | 0.831711i | 0.204094 | − | 0.0323254i | ||||
\(663\) | 0.720107 | + | 1.41329i | 0.0279666 | + | 0.0548876i | ||||
\(664\) | 36.7826 | − | 11.9514i | 1.42744 | − | 0.463804i | ||||
\(665\) | −23.5283 | + | 4.50833i | −0.912389 | + | 0.174826i | ||||
\(666\) | 28.7072 | + | 39.5121i | 1.11238 | + | 1.53106i | ||||
\(667\) | 0.915682 | + | 0.466563i | 0.0354553 | + | 0.0180654i | ||||
\(668\) | −50.1252 | + | 25.5401i | −1.93940 | + | 0.988175i | ||||
\(669\) | −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 | ||||
\(673\) | 2.07046 | + | 13.0723i | 0.0798102 | + | 0.503902i | 0.994918 | + | 0.100692i | \(0.0321056\pi\) |
−0.915107 | + | 0.403210i | \(0.867894\pi\) | |||||||
\(674\) | 4.16900 | + | 1.35459i | 0.160584 | + | 0.0521769i | ||||
\(675\) | −3.70744 | − | 16.4589i | −0.142699 | − | 0.633502i | ||||
\(676\) | 16.1973 | − | 11.7681i | 0.622975 | − | 0.452618i | ||||
\(677\) | 5.37982 | − | 33.9668i | 0.206763 | − | 1.30545i | −0.637885 | − | 0.770131i | \(-0.720191\pi\) |
0.844649 | − | 0.535321i | \(-0.179809\pi\) | |||||||
\(678\) | 7.36599 | − | 14.4566i | 0.282889 | − | 0.555201i | ||||
\(679\) | −11.5070 | + | 35.4150i | −0.441600 | + | 1.35910i | ||||
\(680\) | −2.74008 | + | 9.46045i | −0.105077 | + | 0.362792i | ||||
\(681\) | 0.611726i | 0.0234414i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 27.9495 | − | 27.9495i | 1.06946 | − | 1.06946i | 0.0720555 | − | 0.997401i | \(-0.477044\pi\) |
0.997401 | − | 0.0720555i | \(-0.0229559\pi\) | |||||||
\(684\) | −34.7526 | − | 25.2493i | −1.32880 | − | 0.965429i | ||||
\(685\) | 26.9747 | + | 25.2892i | 1.03065 | + | 0.966252i | ||||
\(686\) | 14.2346 | + | 43.8095i | 0.543478 | + | 1.67265i | ||||
\(687\) | 0.0601578 | + | 0.00952805i | 0.00229516 | + | 0.000363518i | ||||
\(688\) | 19.2206 | + | 3.04425i | 0.732779 | + | 0.116061i | ||||
\(689\) | −3.57830 | − | 11.0129i | −0.136322 | − | 0.419557i | ||||
\(690\) | −0.351411 | − | 0.329453i | −0.0133780 | − | 0.0125421i | ||||
\(691\) | −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 | ||||||||
\(695\) | −2.68766 | + | 9.27949i | −0.101949 | + | 0.351991i | ||||
\(696\) | 5.98226 | − | 18.4115i | 0.226757 | − | 0.697886i | ||||
\(697\) | 1.47799 | − | 2.90071i | 0.0559827 | − | 0.109872i | ||||
\(698\) | 4.05519 | − | 25.6035i | 0.153491 | − | 0.969106i | ||||
\(699\) | −10.3535 | + | 7.52228i | −0.391606 | + | 0.284519i | ||||
\(700\) | −11.1126 | − | 49.3334i | −0.420016 | − | 1.86463i | ||||
\(701\) | 5.55696 | + | 1.80557i | 0.209883 | + | 0.0681953i | 0.412072 | − | 0.911151i | \(-0.364805\pi\) |
−0.202188 | + | 0.979347i | \(0.564805\pi\) | |||||||
\(702\) | −3.60661 | − | 22.7712i | −0.136123 | − | 0.859445i | ||||
\(703\) | 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 | ||||
\(707\) | 4.45154 | − | 2.26817i | 0.167417 | − | 0.0853034i | ||||
\(708\) | −13.5302 | − | 6.89398i | −0.508496 | − | 0.259092i | ||||
\(709\) | 23.5016 | + | 32.3472i | 0.882623 | + | 1.21483i | 0.975688 | + | 0.219166i | \(0.0703337\pi\) |
−0.0930647 | + | 0.995660i | \(0.529666\pi\) | |||||||
\(710\) | −6.76360 | + | 1.29599i | −0.253834 | + | 0.0486378i | ||||
\(711\) | −10.9115 | + | 3.54537i | −0.409214 | + | 0.132962i | ||||
\(712\) | 8.95956 | + | 17.5841i | 0.335774 | + | 0.658993i | ||||
\(713\) | −1.32547 | + | 0.209933i | −0.0496391 | + | 0.00786207i | ||||
\(714\) | −3.54657 | −0.132727 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 17.1125 | 0.639523 | ||||||||
\(717\) | 5.11727 | − | 0.810496i | 0.191108 | − | 0.0302685i | ||||
\(718\) | 3.61592 | + | 7.09665i | 0.134945 | + | 0.264845i | ||||
\(719\) | 19.2106 | − | 6.24190i | 0.716434 | − | 0.232784i | 0.0719577 | − | 0.997408i | \(-0.477075\pi\) |
0.644477 | + | 0.764624i | \(0.277075\pi\) | |||||||
\(720\) | 11.6489 | − | 17.1712i | 0.434129 | − | 0.639933i | ||||
\(721\) | −2.60896 | − | 3.59093i | −0.0971629 | − | 0.133733i | ||||
\(722\) | 3.85632 | + | 1.96489i | 0.143517 | + | 0.0731258i | ||||
\(723\) | −5.67432 | + | 2.89121i | −0.211030 | + | 0.107525i | ||||
\(724\) | −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 | 0.999864 | − | 0.0165102i | \(-0.00525558\pi\) |
−0.0165102 | + | 0.999864i | \(0.505256\pi\) | |||||||
\(728\) | −5.29135 | − | 33.4083i | −0.196111 | − | 1.23819i | ||||
\(729\) | −9.09289 | − | 2.95446i | −0.336774 | − | 0.109424i | ||||
\(730\) | −7.60852 | + | 5.91181i | −0.281604 | + | 0.218806i | ||||
\(731\) | −4.23339 | + | 3.07574i | −0.156578 | + | 0.113760i | ||||
\(732\) | −3.49087 | + | 22.0405i | −0.129026 | + | 0.814639i | ||||
\(733\) | −14.4811 | + | 28.4208i | −0.534873 | + | 1.04975i | 0.452563 | + | 0.891732i | \(0.350510\pi\) |
−0.987437 | + | 0.158015i | \(0.949490\pi\) | |||||||
\(734\) | −13.7035 | + | 42.1752i | −0.505807 | + | 1.55671i | ||||
\(735\) | −0.392052 | + | 0.215953i | −0.0144611 | + | 0.00796553i | ||||
\(736\) | 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 | 0.990479 | − | 0.137662i | \(-0.0439589\pi\) |
0.175150 | + | 0.984542i | \(0.443959\pi\) | |||||||
\(740\) | −45.5224 | + | 48.5565i | −1.67344 | + | 1.78497i | ||||
\(741\) | −2.15400 | − | 6.62932i | −0.0791290 | − | 0.243534i | ||||
\(742\) | 25.5724 | + | 4.05027i | 0.938793 | + | 0.148690i | ||||
\(743\) | 6.70139 | + | 1.06140i | 0.245850 | + | 0.0389389i | 0.278143 | − | 0.960540i | \(-0.410281\pi\) |
−0.0322930 | + | 0.999478i | \(0.510281\pi\) | |||||||
\(744\) | 7.81179 | + | 24.0422i | 0.286394 | + | 0.881430i | ||||
\(745\) | 18.8730 | − | 0.608652i | 0.691455 | − | 0.0222993i | ||||
\(746\) | 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 | ||||||||
\(750\) | 14.9108 | − | 6.49622i | 0.544465 | − | 0.237208i | ||||
\(751\) | −6.82703 | + | 21.0114i | −0.249122 | + | 0.766718i | 0.745809 | + | 0.666160i | \(0.232063\pi\) |
−0.994931 | + | 0.100559i | \(0.967937\pi\) | |||||||
\(752\) | −1.68567 | + | 3.30830i | −0.0614699 | + | 0.120641i | ||||
\(753\) | 0.878729 | − | 5.54808i | 0.0320227 | − | 0.202183i | ||||
\(754\) | −38.3627 | + | 27.8722i | −1.39709 | + | 1.01504i | ||||
\(755\) | −16.3706 | − | 21.0691i | −0.595788 | − | 0.766782i | ||||
\(756\) | 32.4565 | + | 10.5458i | 1.18043 | + | 0.383546i | ||||
\(757\) | −5.23341 | − | 33.0425i | −0.190212 | − | 1.20095i | −0.879299 | − | 0.476271i | \(-0.841988\pi\) |
0.689087 | − | 0.724678i | \(-0.258012\pi\) | |||||||
\(758\) | 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 | \(0.0434419\pi\) | |||||||
\(762\) | 3.07848 | − | 1.56856i | 0.111522 | − | 0.0568231i | ||||
\(763\) | 7.41445 | + | 3.77785i | 0.268421 | + | 0.136767i | ||||
\(764\) | −14.9045 | − | 20.5143i | −0.539227 | − | 0.742182i | ||||
\(765\) | 1.05000 | + | 5.47979i | 0.0379628 | + | 0.198122i | ||||
\(766\) | −45.5528 | + | 14.8010i | −1.64589 | + | 0.534782i | ||||
\(767\) | 8.26544 | + | 16.2218i | 0.298448 | + | 0.585736i | ||||
\(768\) | 18.4180 | − | 2.91713i | 0.664603 | − | 0.105263i | ||||
\(769\) | 51.2907 | 1.84959 | 0.924794 | − | 0.380468i | \(-0.124237\pi\) | ||||
0.924794 | + | 0.380468i | \(0.124237\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −11.0274 | −0.397141 | ||||||||
\(772\) | 3.89496 | − | 0.616901i | 0.140183 | − | 0.0222027i | ||||
\(773\) | −7.49740 | − | 14.7145i | −0.269663 | − | 0.529243i | 0.715973 | − | 0.698128i | \(-0.245983\pi\) |
−0.985636 | + | 0.168885i | \(0.945983\pi\) | |||||||
\(774\) | 33.8755 | − | 11.0068i | 1.21763 | − | 0.395632i | ||||
\(775\) | 11.1965 | − | 43.9074i | 0.402191 | − | 1.57720i | ||||
\(776\) | −39.5453 | − | 54.4295i | −1.41960 | − | 1.95391i | ||||
\(777\) | −10.4524 | − | 5.32574i | −0.374976 | − | 0.191060i | ||||
\(778\) | 37.1082 | − | 18.9076i | 1.33039 | − | 0.677869i | ||||
\(779\) | −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 | ||||
\(783\) | −3.66330 | − | 23.1292i | −0.130916 | − | 0.826569i | ||||
\(784\) | −1.11795 | − | 0.363243i | −0.0399267 | − | 0.0129730i | ||||
\(785\) | −3.02076 | − | 0.379085i | −0.107815 | − | 0.0135301i | ||||
\(786\) | 3.67744 | − | 2.67181i | 0.131170 | − | 0.0953004i | ||||
\(787\) | 0.692641 | − | 4.37316i | 0.0246900 | − | 0.155886i | −0.972263 | − | 0.233890i | \(-0.924854\pi\) |
0.996953 | + | 0.0780034i | \(0.0248545\pi\) | |||||||
\(788\) | 43.6197 | − | 85.6084i | 1.55389 | − | 3.04967i | ||||
\(789\) | −3.10812 | + | 9.56580i | −0.110652 | + | 0.340551i | ||||
\(790\) | −11.3950 | − | 20.6871i | −0.405415 | − | 0.736012i | ||||
\(791\) | − | 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 | ||||
\(795\) | 0.177695 | + | 5.50996i | 0.00630220 | + | 0.195418i | ||||
\(796\) | −3.94138 | − | 12.1303i | −0.139699 | − | 0.429948i | ||||
\(797\) | 18.9850 | + | 3.00692i | 0.672482 | + | 0.106511i | 0.483331 | − | 0.875437i | \(-0.339427\pi\) |
0.189150 | + | 0.981948i | \(0.439427\pi\) | |||||||
\(798\) | 15.3936 | + | 2.43811i | 0.544928 | + | 0.0863081i | ||||
\(799\) | −0.308525 | − | 0.949542i | −0.0109148 | − | 0.0335924i | ||||
\(800\) | −3.61022 | − | 1.55523i | −0.127640 | − | 0.0549858i | ||||
\(801\) | 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 | ||||||
\(805\) | −0.821113 | − | 0.237823i | −0.0289404 | − | 0.00838216i | ||||
\(806\) | 19.1346 | − | 58.8903i | 0.673988 | − | 2.07432i | ||||
\(807\) | −7.72585 | + | 15.1628i | −0.271963 | + | 0.533757i | ||||
\(808\) | −1.41207 | + | 8.91548i | −0.0496765 | + | 0.313645i | ||||
\(809\) | 24.9923 | − | 18.1580i | 0.878683 | − | 0.638401i | −0.0542197 | − | 0.998529i | \(-0.517267\pi\) |
0.932903 | + | 0.360128i | \(0.117267\pi\) | |||||||
\(810\) | 4.00235 | − | 31.8928i | 0.140628 | − | 1.12060i | ||||
\(811\) | −23.8090 | − | 7.73601i | −0.836047 | − | 0.271648i | −0.140456 | − | 0.990087i | \(-0.544857\pi\) |
−0.695590 | + | 0.718439i | \(0.744857\pi\) | |||||||
\(812\) | −10.9803 | − | 69.3267i | −0.385332 | − | 2.43289i | ||||
\(813\) | −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 | ||||
\(817\) | 20.4891 | − | 10.4397i | 0.716825 | − | 0.365240i | ||||
\(818\) | 57.9990 | + | 29.5519i | 2.02789 | + | 1.03326i | ||||
\(819\) | −11.2627 | − | 15.5018i | −0.393550 | − | 0.541675i | ||||
\(820\) | −24.9916 | − | 16.9542i | −0.872744 | − | 0.592067i | ||||
\(821\) | 21.6750 | − | 7.04264i | 0.756463 | − | 0.245790i | 0.0947032 | − | 0.995506i | \(-0.469810\pi\) |
0.661760 | + | 0.749716i | \(0.269810\pi\) | |||||||
\(822\) | −10.9209 | − | 21.4335i | −0.380911 | − | 0.747580i | ||||
\(823\) | 17.4278 | − | 2.76029i | 0.607495 | − | 0.0962177i | 0.154894 | − | 0.987931i | \(-0.450496\pi\) |
0.452601 | + | 0.891713i | \(0.350496\pi\) | |||||||
\(824\) | 8.01946 | 0.279371 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −40.7077 | −1.41640 | ||||||||
\(827\) | −16.4544 | + | 2.60613i | −0.572177 | + | 0.0906239i | −0.435817 | − | 0.900035i | \(-0.643540\pi\) |
−0.136360 | + | 0.990659i | \(0.543540\pi\) | |||||||
\(828\) | −0.695907 | − | 1.36579i | −0.0241844 | − | 0.0474646i | ||||
\(829\) | 39.7855 | − | 12.9271i | 1.38181 | − | 0.448976i | 0.478544 | − | 0.878064i | \(-0.341165\pi\) |
0.903263 | + | 0.429087i | \(0.141165\pi\) | |||||||
\(830\) | 37.3230 | + | 25.3198i | 1.29550 | + | 0.878863i | ||||
\(831\) | 4.36562 | + | 6.00876i | 0.151442 | + | 0.208441i | ||||
\(832\) | −22.3640 | − | 11.3950i | −0.775332 | − | 0.395051i | ||||
\(833\) | 0.281630 | − | 0.143498i | 0.00975790 | − | 0.00497190i | ||||
\(834\) | 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 | ||||
\(838\) | −5.41895 | − | 34.2139i | −0.187195 | − | 1.18190i | ||||
\(839\) | −49.3818 | − | 16.0451i | −1.70485 | − | 0.553939i | −0.715388 | − | 0.698728i | \(-0.753750\pi\) |
−0.989463 | + | 0.144788i | \(0.953750\pi\) | |||||||
\(840\) | −2.00513 | + | 15.9780i | −0.0691836 | + | 0.551292i | ||||
\(841\) | −15.5042 | + | 11.2645i | −0.534629 | + | 0.388431i | ||||
\(842\) | −2.62809 | + | 16.5931i | −0.0905699 | + | 0.571836i | ||||
\(843\) | −5.93896 | + | 11.6559i | −0.204549 | + | 0.401449i | ||||
\(844\) | 30.0723 | − | 92.5530i | 1.03513 | − | 3.18581i | ||||
\(845\) | 10.9767 | + | 3.17922i | 0.377608 | + | 0.109369i | ||||
\(846\) | 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 | ||||
\(850\) | −10.6721 | + | 4.24570i | −0.366049 | + | 0.145626i | ||||
\(851\) | 0.347690 | + | 1.07008i | 0.0119187 | + | 0.0366819i | ||||
\(852\) | 2.92953 | + | 0.463992i | 0.100364 | + | 0.0158961i | ||||
\(853\) | −13.8327 | − | 2.19089i | −0.473623 | − | 0.0750145i | −0.0849401 | − | 0.996386i | \(-0.527070\pi\) |
−0.388683 | + | 0.921372i | \(0.627070\pi\) | |||||||
\(854\) | 18.4857 | + | 56.8933i | 0.632569 | + | 1.94685i | ||||
\(855\) | −0.790328 | − | 24.5064i | −0.0270287 | − | 0.838102i | ||||
\(856\) | −15.6947 | − | 11.4029i | −0.536434 | − | 0.389742i | ||||
\(857\) | −10.2364 | + | 10.2364i | −0.349669 | + | 0.349669i | −0.859986 | − | 0.510317i | \(-0.829528\pi\) |
0.510317 | + | 0.859986i | \(0.329528\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 56.0426i | − | 1.91215i | −0.293125 | − | 0.956074i | \(-0.594695\pi\) | ||
0.293125 | − | 0.956074i | \(-0.405305\pi\) | |||||||
\(860\) | 23.4199 | + | 42.5177i | 0.798611 | + | 1.44984i | ||||
\(861\) | 1.64481 | − | 5.06221i | 0.0560550 | − | 0.172520i | ||||
\(862\) | 7.88446 | − | 15.4741i | 0.268546 | − | 0.527050i | ||||
\(863\) | −2.69640 | + | 17.0244i | −0.0917867 | + | 0.579518i | 0.898335 | + | 0.439310i | \(0.144777\pi\) |
−0.990122 | + | 0.140208i | \(0.955223\pi\) | |||||||
\(864\) | 2.14616 | − | 1.55928i | 0.0730140 | − | 0.0530478i | ||||
\(865\) | 49.4797 | + | 6.20938i | 1.68236 | + | 0.211125i | ||||
\(866\) | 38.8733 | + | 12.6307i | 1.32097 | + | 0.429209i | ||||
\(867\) | −1.50694 | − | 9.51447i | −0.0511785 | − | 0.323128i | ||||
\(868\) | 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 | ||||
\(872\) | −13.3960 | + | 6.82560i | −0.453645 | + | 0.231144i | ||||
\(873\) | −33.9584 | − | 17.3027i | −1.14932 | − | 0.585606i | ||||
\(874\) | −0.878650 | − | 1.20936i | −0.0297208 | − | 0.0409071i | ||||
\(875\) | 18.3440 | − | 22.2858i | 0.620140 | − | 0.753399i | ||||
\(876\) | 3.94677 | − | 1.28238i | 0.133349 | − | 0.0433278i | ||||
\(877\) | −3.20066 | − | 6.28165i | −0.108079 | − | 0.212116i | 0.830633 | − | 0.556821i | \(-0.187979\pi\) |
−0.938711 | + | 0.344705i | \(0.887979\pi\) | |||||||
\(878\) | 1.85708 | − | 0.294133i | 0.0626735 | − | 0.00992651i | ||||
\(879\) | 12.0275 | 0.405678 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −46.6330 | −1.57111 | −0.785553 | − | 0.618794i | \(-0.787622\pi\) | ||||
−0.785553 | + | 0.618794i | \(0.787622\pi\) | |||||||
\(882\) | −2.12504 | + | 0.336573i | −0.0715537 | + | 0.0113330i | ||||
\(883\) | −4.99714 | − | 9.80743i | −0.168167 | − | 0.330046i | 0.791508 | − | 0.611159i | \(-0.209296\pi\) |
−0.959675 | + | 0.281113i | \(0.909296\pi\) | |||||||
\(884\) | −9.88212 | + | 3.21090i | −0.332372 | + | 0.107994i | ||||
\(885\) | −1.63115 | − | 8.51274i | −0.0548306 | − | 0.286153i | ||||
\(886\) | −26.8665 | − | 36.9785i | −0.902597 | − | 1.24232i | ||||
\(887\) | 34.7292 | + | 17.6954i | 1.16609 | + | 0.594154i | 0.926343 | − | 0.376680i | \(-0.122934\pi\) |
0.239750 | + | 0.970835i | \(0.422934\pi\) | |||||||
\(888\) | 18.8847 | − | 9.62223i | 0.633729 | − | 0.322901i | ||||
\(889\) | 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 | ||||
\(893\) | 0.686361 | + | 4.33351i | 0.0229682 | + | 0.145016i | ||||
\(894\) | −11.6835 | − | 3.79620i | −0.390755 | − | 0.126964i | ||||
\(895\) | 5.99299 | + | 7.71300i | 0.200323 | + | 0.257817i | ||||
\(896\) | 42.1188 | − | 30.6011i | 1.40709 | − | 1.02231i | ||||
\(897\) | 0.0389107 | − | 0.245673i | 0.00129919 | − | 0.00820277i | ||||
\(898\) | 0.787843 | − | 1.54623i | 0.0262906 | − | 0.0515983i | ||||
\(899\) | 19.4354 | − | 59.8159i | 0.648206 | − | 1.99497i | ||||
\(900\) | 51.6499 | − | 3.33487i | 1.72166 | − | 0.111162i | ||||
\(901\) | − | 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 | ||||
\(905\) | −21.0970 | + | 0.680376i | −0.701289 | + | 0.0226165i | ||||
\(906\) | 5.36404 | + | 16.5088i | 0.178208 | + | 0.548469i | ||||
\(907\) | −27.7688 | − | 4.39815i | −0.922049 | − | 0.146038i | −0.322677 | − | 0.946509i | \(-0.604583\pi\) |
−0.599372 | + | 0.800471i | \(0.704583\pi\) | |||||||
\(908\) | −3.95795 | − | 0.626877i | −0.131349 | − | 0.0208037i | ||||
\(909\) | 1.58014 | + | 4.86318i | 0.0524100 | + | 0.161301i | ||||
\(910\) | 26.9778 | − | 28.7758i | 0.894305 | − | 0.953909i | ||||
\(911\) | 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 | ||||||||
\(915\) | −11.1567 | + | 6.14542i | −0.368830 | + | 0.203161i | ||||
\(916\) | −0.123296 | + | 0.379465i | −0.00407380 | + | 0.0125379i | ||||
\(917\) | 3.66234 | − | 7.18775i | 0.120941 | − | 0.237360i | ||||
\(918\) | 1.21253 | − | 7.65563i | 0.0400195 | − | 0.252673i | ||||
\(919\) | −32.9943 | + | 23.9718i | −1.08838 | + | 0.790755i | −0.979125 | − | 0.203258i | \(-0.934847\pi\) |
−0.109256 | + | 0.994014i | \(0.534847\pi\) | |||||||
\(920\) | 1.21962 | − | 0.947645i | 0.0402098 | − | 0.0312429i | ||||
\(921\) | 11.8173 | + | 3.83968i | 0.389394 | + | 0.126522i | ||||
\(922\) | 13.9003 | + | 87.7630i | 0.457782 | + | 2.89032i | ||||
\(923\) | −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 | ||||
\(927\) | 4.04776 | − | 2.06244i | 0.132946 | − | 0.0677394i | ||||
\(928\) | −4.86151 | − | 2.47706i | −0.159587 | − | 0.0813136i | ||||
\(929\) | 30.1380 | + | 41.4814i | 0.988795 | + | 1.36096i | 0.931954 | + | 0.362577i | \(0.118103\pi\) |
0.0568413 | + | 0.998383i | \(0.481897\pi\) | |||||||
\(930\) | −16.5498 | + | 24.3954i | −0.542689 | + | 0.799957i | ||||
\(931\) | −1.32104 | + | 0.429233i | −0.0432954 | + | 0.0140675i | ||||
\(932\) | −38.0602 | − | 74.6973i | −1.24670 | − | 2.44679i | ||||
\(933\) | −13.7499 | + | 2.17776i | −0.450150 | + | 0.0712968i | ||||
\(934\) | −36.0504 | −1.17960 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 34.6194 | 1.13157 | ||||||||
\(937\) | 3.04254 | − | 0.481891i | 0.0993955 | − | 0.0157427i | −0.106539 | − | 0.994309i | \(-0.533977\pi\) |
0.205934 | + | 0.978566i | \(0.433977\pi\) | |||||||
\(938\) | −11.8752 | − | 23.3063i | −0.387738 | − | 0.760978i | ||||
\(939\) | −7.97272 | + | 2.59049i | −0.260180 | + | 0.0845376i | ||||
\(940\) | −9.09615 | + | 1.74294i | −0.296684 | + | 0.0568485i | ||||
\(941\) | 16.7138 | + | 23.0045i | 0.544854 | + | 0.749927i | 0.989303 | − | 0.145877i | \(-0.0466005\pi\) |
−0.444449 | + | 0.895804i | \(0.646601\pi\) | |||||||
\(942\) | 1.76477 | + | 0.899198i | 0.0574995 | + | 0.0292974i | ||||
\(943\) | −0.454874 | + | 0.231770i | −0.0148127 | + | 0.00754747i | ||||
\(944\) | 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 | −0.912941 | − | 0.408091i | \(-0.866195\pi\) |
−0.408091 | − | 0.912941i | \(-0.633805\pi\) | |||||||
\(948\) | 1.59126 | + | 10.0468i | 0.0516818 | + | 0.326306i | ||||
\(949\) | −4.73193 | − | 1.53750i | −0.153605 | − | 0.0499092i | ||||
\(950\) | 49.2400 | − | 11.0916i | 1.59756 | − | 0.359858i | ||||
\(951\) | 14.2724 | − | 10.3695i | 0.462813 | − | 0.336253i | ||||
\(952\) | 1.77894 | − | 11.2318i | 0.0576557 | − | 0.364024i | ||||
\(953\) | 8.68746 | − | 17.0501i | 0.281414 | − | 0.552307i | −0.706424 | − | 0.707788i | \(-0.749693\pi\) |
0.987839 | + | 0.155482i | \(0.0496930\pi\) | |||||||
\(954\) | −8.18878 | + | 25.2025i | −0.265122 | + | 0.815960i | ||||
\(955\) | 4.02656 | − | 13.9022i | 0.130296 | − | 0.449864i | ||||
\(956\) | 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 | ||||
\(960\) | 8.71752 | + | 8.17281i | 0.281357 | + | 0.263776i | ||||
\(961\) | 15.7997 | + | 48.6264i | 0.509667 | + | 1.56859i | ||||
\(962\) | −51.2765 | − | 8.12140i | −1.65322 | − | 0.261844i | ||||
\(963\) | −10.8544 | − | 1.71916i | −0.349777 | − | 0.0553993i | ||||
\(964\) | −12.8917 | − | 39.6764i | −0.415212 | − | 1.27789i | ||||
\(965\) | 1.64211 | + | 1.53951i | 0.0528615 | + | 0.0495584i | ||||
\(966\) | 0.449938 | + | 0.326899i | 0.0144765 | + | 0.0105178i | ||||
\(967\) | 12.6930 | − | 12.6930i | 0.408178 | − | 0.408178i | −0.472925 | − | 0.881103i | \(-0.656802\pi\) |
0.881103 | + | 0.472925i | \(0.156802\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | − | 2.34346i | − | 0.0752826i | ||||||
\(970\) | 21.8265 | − | 75.3588i | 0.700808 | − | 2.41962i | ||||
\(971\) | −1.07721 | + | 3.31533i | −0.0345695 | + | 0.106394i | −0.966852 | − | 0.255336i | \(-0.917814\pi\) |
0.932283 | + | 0.361730i | \(0.117814\pi\) | |||||||
\(972\) | −24.2884 | + | 47.6686i | −0.779050 | + | 1.52897i | ||||
\(973\) | 1.74491 | − | 11.0169i | 0.0559392 | − | 0.353186i | ||||
\(974\) | −76.5471 | + | 55.6147i | −2.45273 | + | 1.78201i | ||||
\(975\) | 7.09855 | + | 4.48851i | 0.227336 | + | 0.143747i | ||||
\(976\) | −31.8137 | − | 10.3369i | −1.01833 | − | 0.330876i | ||||
\(977\) | 4.04170 | + | 25.5183i | 0.129305 | + | 0.816402i | 0.964042 | + | 0.265752i | \(0.0856201\pi\) |
−0.834736 | + | 0.550650i | \(0.814380\pi\) | |||||||
\(978\) | −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 | ||||
\(982\) | −40.7509 | + | 20.7636i | −1.30042 | + | 0.662595i | ||||
\(983\) | 27.8228 | + | 14.1764i | 0.887409 | + | 0.452158i | 0.837400 | − | 0.546591i | \(-0.184075\pi\) |
0.0500096 | + | 0.998749i | \(0.484075\pi\) | |||||||
\(984\) | 5.65260 | + | 7.78013i | 0.180198 | + | 0.248022i | ||||
\(985\) | 53.8619 | − | 10.3206i | 1.71618 | − | 0.328843i | ||||
\(986\) | −15.1619 | + | 4.92639i | −0.482852 | + | 0.156888i | ||||
\(987\) | −0.741080 | − | 1.45445i | −0.0235888 | − | 0.0462957i | ||||
\(988\) | 45.1000 | − | 7.14313i | 1.43482 | − | 0.227253i | ||||
\(989\) | 0.820573 | 0.0260927 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −19.5868 | −0.622196 | −0.311098 | − | 0.950378i | \(-0.600697\pi\) | ||||
−0.311098 | + | 0.950378i | \(0.600697\pi\) | |||||||
\(992\) | 7.03714 | − | 1.11457i | 0.223429 | − | 0.0353877i | ||||
\(993\) | −0.593380 | − | 1.16457i | −0.0188303 | − | 0.0369566i | ||||
\(994\) | 7.56203 | − | 2.45705i | 0.239853 | − | 0.0779330i | ||||
\(995\) | 4.08712 | − | 6.02466i | 0.129570 | − | 0.190995i | ||||
\(996\) | −11.4176 | − | 15.7150i | −0.361780 | − | 0.497948i | ||||
\(997\) | −25.2279 | − | 12.8543i | −0.798976 | − | 0.407098i | 0.00631392 | − | 0.999980i | \(-0.497990\pi\) |
−0.805290 | + | 0.592882i | \(0.797990\pi\) | |||||||
\(998\) | 11.3569 | − | 5.78661i | 0.359495 | − | 0.183172i | ||||
\(999\) | 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 \(a_p\))