Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [121,2,Mod(3,121)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(121, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("121.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 121 = 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 121.c (of order \(5\), degree \(4\), 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: | \(0.966189864457\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{10})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 11) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 3.1 | ||
Root | \(0.809017 + 0.587785i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 121.3 |
Dual form | 121.2.c.e.81.1 |
$q$-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 \(\left(\mathbb{Z}/121\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.61803 | − | 1.17557i | 1.14412 | − | 0.831254i | 0.156434 | − | 0.987688i | \(-0.450000\pi\) |
0.987688 | + | 0.156434i | \(0.0500000\pi\) | |||||||
\(3\) | −0.309017 | − | 0.951057i | −0.178411 | − | 0.549093i | 0.821362 | − | 0.570408i | \(-0.193215\pi\) |
−0.999773 | + | 0.0213149i | \(0.993215\pi\) | |||||||
\(4\) | 0.618034 | − | 1.90211i | 0.309017 | − | 0.951057i | ||||
\(5\) | −0.809017 | − | 0.587785i | −0.361803 | − | 0.262866i | 0.392000 | − | 0.919965i | \(-0.371783\pi\) |
−0.753804 | + | 0.657099i | \(0.771783\pi\) | |||||||
\(6\) | −1.61803 | − | 1.17557i | −0.660560 | − | 0.479925i | ||||
\(7\) | −0.618034 | + | 1.90211i | −0.233595 | + | 0.718931i | 0.763710 | + | 0.645560i | \(0.223376\pi\) |
−0.997305 | + | 0.0733714i | \(0.976624\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.61803 | − | 1.17557i | 0.539345 | − | 0.391857i | ||||
\(10\) | −2.00000 | −0.632456 | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −2.00000 | −0.577350 | ||||||||
\(13\) | −3.23607 | + | 2.35114i | −0.897524 | + | 0.652089i | −0.937829 | − | 0.347098i | \(-0.887167\pi\) |
0.0403050 | + | 0.999187i | \(0.487167\pi\) | |||||||
\(14\) | 1.23607 | + | 3.80423i | 0.330353 | + | 1.01672i | ||||
\(15\) | −0.309017 | + | 0.951057i | −0.0797878 | + | 0.245562i | ||||
\(16\) | 3.23607 | + | 2.35114i | 0.809017 | + | 0.587785i | ||||
\(17\) | 1.61803 | + | 1.17557i | 0.392431 | + | 0.285118i | 0.766451 | − | 0.642303i | \(-0.222021\pi\) |
−0.374020 | + | 0.927421i | \(0.622021\pi\) | |||||||
\(18\) | 1.23607 | − | 3.80423i | 0.291344 | − | 0.896665i | ||||
\(19\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(20\) | −1.61803 | + | 1.17557i | −0.361803 | + | 0.262866i | ||||
\(21\) | 2.00000 | 0.436436 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.00000 | −0.208514 | −0.104257 | − | 0.994550i | \(-0.533247\pi\) | ||||
−0.104257 | + | 0.994550i | \(0.533247\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.23607 | − | 3.80423i | −0.247214 | − | 0.760845i | ||||
\(26\) | −2.47214 | + | 7.60845i | −0.484826 | + | 1.49214i | ||||
\(27\) | −4.04508 | − | 2.93893i | −0.778477 | − | 0.565597i | ||||
\(28\) | 3.23607 | + | 2.35114i | 0.611559 | + | 0.444324i | ||||
\(29\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(30\) | 0.618034 | + | 1.90211i | 0.112837 | + | 0.347277i | ||||
\(31\) | −5.66312 | + | 4.11450i | −1.01713 | + | 0.738985i | −0.965692 | − | 0.259691i | \(-0.916379\pi\) |
−0.0514344 | + | 0.998676i | \(0.516379\pi\) | |||||||
\(32\) | 8.00000 | 1.41421 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.00000 | 0.685994 | ||||||||
\(35\) | 1.61803 | − | 1.17557i | 0.273498 | − | 0.198708i | ||||
\(36\) | −1.23607 | − | 3.80423i | −0.206011 | − | 0.634038i | ||||
\(37\) | 0.927051 | − | 2.85317i | 0.152406 | − | 0.469058i | −0.845483 | − | 0.534003i | \(-0.820687\pi\) |
0.997889 | + | 0.0649448i | \(0.0206871\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.23607 | + | 2.35114i | 0.518186 | + | 0.376484i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.47214 | − | 7.60845i | −0.386083 | − | 1.18824i | −0.935692 | − | 0.352819i | \(-0.885223\pi\) |
0.549609 | − | 0.835422i | \(-0.314777\pi\) | |||||||
\(42\) | 3.23607 | − | 2.35114i | 0.499336 | − | 0.362789i | ||||
\(43\) | −6.00000 | −0.914991 | −0.457496 | − | 0.889212i | \(-0.651253\pi\) | ||||
−0.457496 | + | 0.889212i | \(0.651253\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.00000 | −0.298142 | ||||||||
\(46\) | −1.61803 | + | 1.17557i | −0.238566 | + | 0.173328i | ||||
\(47\) | 2.47214 | + | 7.60845i | 0.360598 | + | 1.10981i | 0.952692 | + | 0.303938i | \(0.0983015\pi\) |
−0.592094 | + | 0.805869i | \(0.701699\pi\) | |||||||
\(48\) | 1.23607 | − | 3.80423i | 0.178411 | − | 0.549093i | ||||
\(49\) | 2.42705 | + | 1.76336i | 0.346722 | + | 0.251908i | ||||
\(50\) | −6.47214 | − | 4.70228i | −0.915298 | − | 0.665003i | ||||
\(51\) | 0.618034 | − | 1.90211i | 0.0865421 | − | 0.266349i | ||||
\(52\) | 2.47214 | + | 7.60845i | 0.342824 | + | 1.05510i | ||||
\(53\) | 4.85410 | − | 3.52671i | 0.666762 | − | 0.484431i | −0.202178 | − | 0.979349i | \(-0.564802\pi\) |
0.868940 | + | 0.494918i | \(0.164802\pi\) | |||||||
\(54\) | −10.0000 | −1.36083 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.54508 | − | 4.75528i | 0.201153 | − | 0.619085i | −0.798697 | − | 0.601734i | \(-0.794477\pi\) |
0.999849 | − | 0.0173510i | \(-0.00552328\pi\) | |||||||
\(60\) | 1.61803 | + | 1.17557i | 0.208887 | + | 0.151765i | ||||
\(61\) | −9.70820 | − | 7.05342i | −1.24301 | − | 0.903098i | −0.245213 | − | 0.969469i | \(-0.578858\pi\) |
−0.997795 | + | 0.0663709i | \(0.978858\pi\) | |||||||
\(62\) | −4.32624 | + | 13.3148i | −0.549433 | + | 1.69098i | ||||
\(63\) | 1.23607 | + | 3.80423i | 0.155730 | + | 0.479287i | ||||
\(64\) | 6.47214 | − | 4.70228i | 0.809017 | − | 0.587785i | ||||
\(65\) | 4.00000 | 0.496139 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.00000 | −0.855186 | −0.427593 | − | 0.903971i | \(-0.640638\pi\) | ||||
−0.427593 | + | 0.903971i | \(0.640638\pi\) | |||||||
\(68\) | 3.23607 | − | 2.35114i | 0.392431 | − | 0.285118i | ||||
\(69\) | 0.309017 | + | 0.951057i | 0.0372013 | + | 0.114494i | ||||
\(70\) | 1.23607 | − | 3.80423i | 0.147738 | − | 0.454692i | ||||
\(71\) | 2.42705 | + | 1.76336i | 0.288038 | + | 0.209272i | 0.722416 | − | 0.691459i | \(-0.243032\pi\) |
−0.434378 | + | 0.900731i | \(0.643032\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.23607 | − | 3.80423i | 0.144671 | − | 0.445251i | −0.852298 | − | 0.523057i | \(-0.824791\pi\) |
0.996969 | + | 0.0778060i | \(0.0247915\pi\) | |||||||
\(74\) | −1.85410 | − | 5.70634i | −0.215535 | − | 0.663348i | ||||
\(75\) | −3.23607 | + | 2.35114i | −0.373669 | + | 0.271486i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 8.00000 | 0.905822 | ||||||||
\(79\) | 8.09017 | − | 5.87785i | 0.910215 | − | 0.661310i | −0.0308541 | − | 0.999524i | \(-0.509823\pi\) |
0.941069 | + | 0.338214i | \(0.109823\pi\) | |||||||
\(80\) | −1.23607 | − | 3.80423i | −0.138197 | − | 0.425325i | ||||
\(81\) | 0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | ||||
\(82\) | −12.9443 | − | 9.40456i | −1.42946 | − | 1.03856i | ||||
\(83\) | 4.85410 | + | 3.52671i | 0.532807 | + | 0.387107i | 0.821407 | − | 0.570343i | \(-0.193190\pi\) |
−0.288600 | + | 0.957450i | \(0.593190\pi\) | |||||||
\(84\) | 1.23607 | − | 3.80423i | 0.134866 | − | 0.415075i | ||||
\(85\) | −0.618034 | − | 1.90211i | −0.0670352 | − | 0.206313i | ||||
\(86\) | −9.70820 | + | 7.05342i | −1.04686 | + | 0.760590i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 15.0000 | 1.59000 | 0.794998 | − | 0.606612i | \(-0.207472\pi\) | ||||
0.794998 | + | 0.606612i | \(0.207472\pi\) | |||||||
\(90\) | −3.23607 | + | 2.35114i | −0.341112 | + | 0.247832i | ||||
\(91\) | −2.47214 | − | 7.60845i | −0.259150 | − | 0.797582i | ||||
\(92\) | −0.618034 | + | 1.90211i | −0.0644345 | + | 0.198309i | ||||
\(93\) | 5.66312 | + | 4.11450i | 0.587238 | + | 0.426653i | ||||
\(94\) | 12.9443 | + | 9.40456i | 1.33510 | + | 0.970007i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −2.47214 | − | 7.60845i | −0.252311 | − | 0.776534i | ||||
\(97\) | 5.66312 | − | 4.11450i | 0.575003 | − | 0.417764i | −0.261916 | − | 0.965091i | \(-0.584354\pi\) |
0.836919 | + | 0.547327i | \(0.184354\pi\) | |||||||
\(98\) | 6.00000 | 0.606092 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −8.00000 | −0.800000 | ||||||||
\(101\) | −1.61803 | + | 1.17557i | −0.161000 | + | 0.116974i | −0.665368 | − | 0.746515i | \(-0.731726\pi\) |
0.504368 | + | 0.863489i | \(0.331726\pi\) | |||||||
\(102\) | −1.23607 | − | 3.80423i | −0.122389 | − | 0.376675i | ||||
\(103\) | −4.94427 | + | 15.2169i | −0.487174 | + | 1.49937i | 0.341634 | + | 0.939833i | \(0.389020\pi\) |
−0.828808 | + | 0.559533i | \(0.810980\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.61803 | − | 1.17557i | −0.157904 | − | 0.114724i | ||||
\(106\) | 3.70820 | − | 11.4127i | 0.360173 | − | 1.10850i | ||||
\(107\) | 5.56231 | + | 17.1190i | 0.537728 | + | 1.65496i | 0.737679 | + | 0.675152i | \(0.235922\pi\) |
−0.199950 | + | 0.979806i | \(0.564078\pi\) | |||||||
\(108\) | −8.09017 | + | 5.87785i | −0.778477 | + | 0.565597i | ||||
\(109\) | 10.0000 | 0.957826 | 0.478913 | − | 0.877862i | \(-0.341031\pi\) | ||||
0.478913 | + | 0.877862i | \(0.341031\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.00000 | −0.284747 | ||||||||
\(112\) | −6.47214 | + | 4.70228i | −0.611559 | + | 0.444324i | ||||
\(113\) | 2.78115 | + | 8.55951i | 0.261629 | + | 0.805211i | 0.992451 | + | 0.122643i | \(0.0391369\pi\) |
−0.730822 | + | 0.682568i | \(0.760863\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.809017 | + | 0.587785i | 0.0754412 | + | 0.0548113i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.47214 | + | 7.60845i | −0.228549 | + | 0.703402i | ||||
\(118\) | −3.09017 | − | 9.51057i | −0.284473 | − | 0.875518i | ||||
\(119\) | −3.23607 | + | 2.35114i | −0.296650 | + | 0.215529i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −24.0000 | −2.17286 | ||||||||
\(123\) | −6.47214 | + | 4.70228i | −0.583573 | + | 0.423990i | ||||
\(124\) | 4.32624 | + | 13.3148i | 0.388508 | + | 1.19570i | ||||
\(125\) | −2.78115 | + | 8.55951i | −0.248754 | + | 0.765586i | ||||
\(126\) | 6.47214 | + | 4.70228i | 0.576584 | + | 0.418913i | ||||
\(127\) | −6.47214 | − | 4.70228i | −0.574309 | − | 0.417260i | 0.262359 | − | 0.964970i | \(-0.415500\pi\) |
−0.836668 | + | 0.547710i | \(0.815500\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.85410 | + | 5.70634i | 0.163245 | + | 0.502415i | ||||
\(130\) | 6.47214 | − | 4.70228i | 0.567644 | − | 0.412417i | ||||
\(131\) | −18.0000 | −1.57267 | −0.786334 | − | 0.617802i | \(-0.788023\pi\) | ||||
−0.786334 | + | 0.617802i | \(0.788023\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −11.3262 | + | 8.22899i | −0.978438 | + | 0.710877i | ||||
\(135\) | 1.54508 | + | 4.75528i | 0.132980 | + | 0.409270i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 5.66312 | + | 4.11450i | 0.483833 | + | 0.351525i | 0.802808 | − | 0.596238i | \(-0.203339\pi\) |
−0.318975 | + | 0.947763i | \(0.603339\pi\) | |||||||
\(138\) | 1.61803 | + | 1.17557i | 0.137736 | + | 0.100071i | ||||
\(139\) | 3.09017 | − | 9.51057i | 0.262105 | − | 0.806676i | −0.730241 | − | 0.683189i | \(-0.760592\pi\) |
0.992346 | − | 0.123486i | \(-0.0394076\pi\) | |||||||
\(140\) | −1.23607 | − | 3.80423i | −0.104467 | − | 0.321516i | ||||
\(141\) | 6.47214 | − | 4.70228i | 0.545052 | − | 0.396004i | ||||
\(142\) | 6.00000 | 0.503509 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 8.00000 | 0.666667 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −2.47214 | − | 7.60845i | −0.204595 | − | 0.629680i | ||||
\(147\) | 0.927051 | − | 2.85317i | 0.0764619 | − | 0.235325i | ||||
\(148\) | −4.85410 | − | 3.52671i | −0.399005 | − | 0.289894i | ||||
\(149\) | 8.09017 | + | 5.87785i | 0.662773 | + | 0.481532i | 0.867598 | − | 0.497266i | \(-0.165663\pi\) |
−0.204826 | + | 0.978798i | \(0.565663\pi\) | |||||||
\(150\) | −2.47214 | + | 7.60845i | −0.201849 | + | 0.621228i | ||||
\(151\) | 0.618034 | + | 1.90211i | 0.0502949 | + | 0.154792i | 0.973050 | − | 0.230596i | \(-0.0740676\pi\) |
−0.922755 | + | 0.385388i | \(0.874068\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 4.00000 | 0.323381 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 7.00000 | 0.562254 | ||||||||
\(156\) | 6.47214 | − | 4.70228i | 0.518186 | − | 0.376484i | ||||
\(157\) | −2.16312 | − | 6.65740i | −0.172636 | − | 0.531318i | 0.826882 | − | 0.562376i | \(-0.190112\pi\) |
−0.999518 | + | 0.0310576i | \(0.990112\pi\) | |||||||
\(158\) | 6.18034 | − | 19.0211i | 0.491681 | − | 1.51324i | ||||
\(159\) | −4.85410 | − | 3.52671i | −0.384955 | − | 0.279686i | ||||
\(160\) | −6.47214 | − | 4.70228i | −0.511667 | − | 0.371748i | ||||
\(161\) | 0.618034 | − | 1.90211i | 0.0487079 | − | 0.149908i | ||||
\(162\) | −0.618034 | − | 1.90211i | −0.0485573 | − | 0.149444i | ||||
\(163\) | −3.23607 | + | 2.35114i | −0.253468 | + | 0.184156i | −0.707263 | − | 0.706951i | \(-0.750070\pi\) |
0.453794 | + | 0.891107i | \(0.350070\pi\) | |||||||
\(164\) | −16.0000 | −1.24939 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 12.0000 | 0.931381 | ||||||||
\(167\) | 9.70820 | − | 7.05342i | 0.751243 | − | 0.545810i | −0.144969 | − | 0.989436i | \(-0.546308\pi\) |
0.896212 | + | 0.443626i | \(0.146308\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.927051 | − | 2.85317i | 0.0713116 | − | 0.219475i | ||||
\(170\) | −3.23607 | − | 2.35114i | −0.248195 | − | 0.180324i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.70820 | + | 11.4127i | −0.282748 | + | 0.870209i | ||||
\(173\) | −1.85410 | − | 5.70634i | −0.140965 | − | 0.433845i | 0.855505 | − | 0.517794i | \(-0.173247\pi\) |
−0.996470 | + | 0.0839492i | \(0.973247\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 8.00000 | 0.604743 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −5.00000 | −0.375823 | ||||||||
\(178\) | 24.2705 | − | 17.6336i | 1.81915 | − | 1.32169i | ||||
\(179\) | −4.63525 | − | 14.2658i | −0.346455 | − | 1.06628i | −0.960800 | − | 0.277242i | \(-0.910580\pi\) |
0.614345 | − | 0.789038i | \(-0.289420\pi\) | |||||||
\(180\) | −1.23607 | + | 3.80423i | −0.0921311 | + | 0.283550i | ||||
\(181\) | −5.66312 | − | 4.11450i | −0.420936 | − | 0.305828i | 0.357078 | − | 0.934075i | \(-0.383773\pi\) |
−0.778014 | + | 0.628246i | \(0.783773\pi\) | |||||||
\(182\) | −12.9443 | − | 9.40456i | −0.959493 | − | 0.697113i | ||||
\(183\) | −3.70820 | + | 11.4127i | −0.274118 | + | 0.843649i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −2.42705 | + | 1.76336i | −0.178440 | + | 0.129644i | ||||
\(186\) | 14.0000 | 1.02653 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 16.0000 | 1.16692 | ||||||||
\(189\) | 8.09017 | − | 5.87785i | 0.588473 | − | 0.427551i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 5.25329 | − | 16.1680i | 0.380115 | − | 1.16987i | −0.559848 | − | 0.828595i | \(-0.689140\pi\) |
0.939963 | − | 0.341277i | \(-0.110860\pi\) | |||||||
\(192\) | −6.47214 | − | 4.70228i | −0.467086 | − | 0.339358i | ||||
\(193\) | −3.23607 | − | 2.35114i | −0.232937 | − | 0.169239i | 0.465194 | − | 0.885209i | \(-0.345985\pi\) |
−0.698131 | + | 0.715970i | \(0.745985\pi\) | |||||||
\(194\) | 4.32624 | − | 13.3148i | 0.310606 | − | 0.955946i | ||||
\(195\) | −1.23607 | − | 3.80423i | −0.0885167 | − | 0.272426i | ||||
\(196\) | 4.85410 | − | 3.52671i | 0.346722 | − | 0.251908i | ||||
\(197\) | −2.00000 | −0.142494 | −0.0712470 | − | 0.997459i | \(-0.522698\pi\) | ||||
−0.0712470 | + | 0.997459i | \(0.522698\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 2.16312 | + | 6.65740i | 0.152575 | + | 0.469576i | ||||
\(202\) | −1.23607 | + | 3.80423i | −0.0869694 | + | 0.267664i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −3.23607 | − | 2.35114i | −0.226570 | − | 0.164613i | ||||
\(205\) | −2.47214 | + | 7.60845i | −0.172661 | + | 0.531397i | ||||
\(206\) | 9.88854 | + | 30.4338i | 0.688967 | + | 2.12042i | ||||
\(207\) | −1.61803 | + | 1.17557i | −0.112461 | + | 0.0817078i | ||||
\(208\) | −16.0000 | −1.10940 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −4.00000 | −0.276026 | ||||||||
\(211\) | −9.70820 | + | 7.05342i | −0.668340 | + | 0.485578i | −0.869469 | − | 0.493987i | \(-0.835539\pi\) |
0.201129 | + | 0.979565i | \(0.435539\pi\) | |||||||
\(212\) | −3.70820 | − | 11.4127i | −0.254680 | − | 0.783826i | ||||
\(213\) | 0.927051 | − | 2.85317i | 0.0635205 | − | 0.195496i | ||||
\(214\) | 29.1246 | + | 21.1603i | 1.99092 | + | 1.44649i | ||||
\(215\) | 4.85410 | + | 3.52671i | 0.331047 | + | 0.240520i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.32624 | − | 13.3148i | −0.293684 | − | 0.903867i | ||||
\(218\) | 16.1803 | − | 11.7557i | 1.09587 | − | 0.796197i | ||||
\(219\) | −4.00000 | −0.270295 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −8.00000 | −0.538138 | ||||||||
\(222\) | −4.85410 | + | 3.52671i | −0.325786 | + | 0.236697i | ||||
\(223\) | 5.87132 | + | 18.0701i | 0.393173 | + | 1.21006i | 0.930375 | + | 0.366608i | \(0.119481\pi\) |
−0.537203 | + | 0.843453i | \(0.680519\pi\) | |||||||
\(224\) | −4.94427 | + | 15.2169i | −0.330353 | + | 1.01672i | ||||
\(225\) | −6.47214 | − | 4.70228i | −0.431476 | − | 0.313485i | ||||
\(226\) | 14.5623 | + | 10.5801i | 0.968670 | + | 0.703780i | ||||
\(227\) | 5.56231 | − | 17.1190i | 0.369183 | − | 1.13623i | −0.578137 | − | 0.815940i | \(-0.696220\pi\) |
0.947320 | − | 0.320289i | \(-0.103780\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −12.1353 | + | 8.81678i | −0.801920 | + | 0.582629i | −0.911477 | − | 0.411351i | \(-0.865057\pi\) |
0.109557 | + | 0.993981i | \(0.465057\pi\) | |||||||
\(230\) | 2.00000 | 0.131876 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −19.4164 | + | 14.1068i | −1.27201 | + | 0.924170i | −0.999281 | − | 0.0379203i | \(-0.987927\pi\) |
−0.272730 | + | 0.962090i | \(0.587927\pi\) | |||||||
\(234\) | 4.94427 | + | 15.2169i | 0.323217 | + | 0.994760i | ||||
\(235\) | 2.47214 | − | 7.60845i | 0.161264 | − | 0.496321i | ||||
\(236\) | −8.09017 | − | 5.87785i | −0.526625 | − | 0.382616i | ||||
\(237\) | −8.09017 | − | 5.87785i | −0.525513 | − | 0.381808i | ||||
\(238\) | −2.47214 | + | 7.60845i | −0.160245 | + | 0.493183i | ||||
\(239\) | −9.27051 | − | 28.5317i | −0.599659 | − | 1.84556i | −0.530012 | − | 0.847990i | \(-0.677812\pi\) |
−0.0696477 | − | 0.997572i | \(-0.522188\pi\) | |||||||
\(240\) | −3.23607 | + | 2.35114i | −0.208887 | + | 0.151765i | ||||
\(241\) | −8.00000 | −0.515325 | −0.257663 | − | 0.966235i | \(-0.582952\pi\) | ||||
−0.257663 | + | 0.966235i | \(0.582952\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −16.0000 | −1.02640 | ||||||||
\(244\) | −19.4164 | + | 14.1068i | −1.24301 | + | 0.903098i | ||||
\(245\) | −0.927051 | − | 2.85317i | −0.0592271 | − | 0.182282i | ||||
\(246\) | −4.94427 | + | 15.2169i | −0.315235 | + | 0.970194i | ||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1.85410 | − | 5.70634i | 0.117499 | − | 0.361625i | ||||
\(250\) | 5.56231 | + | 17.1190i | 0.351791 | + | 1.08270i | ||||
\(251\) | 18.6074 | − | 13.5191i | 1.17449 | − | 0.853316i | 0.182949 | − | 0.983122i | \(-0.441436\pi\) |
0.991539 | + | 0.129807i | \(0.0414357\pi\) | |||||||
\(252\) | 8.00000 | 0.503953 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −16.0000 | −1.00393 | ||||||||
\(255\) | −1.61803 | + | 1.17557i | −0.101325 | + | 0.0736171i | ||||
\(256\) | 4.94427 | + | 15.2169i | 0.309017 | + | 0.951057i | ||||
\(257\) | −0.618034 | + | 1.90211i | −0.0385519 | + | 0.118651i | −0.968480 | − | 0.249090i | \(-0.919869\pi\) |
0.929928 | + | 0.367740i | \(0.119869\pi\) | |||||||
\(258\) | 9.70820 | + | 7.05342i | 0.604406 | + | 0.439127i | ||||
\(259\) | 4.85410 | + | 3.52671i | 0.301619 | + | 0.219139i | ||||
\(260\) | 2.47214 | − | 7.60845i | 0.153315 | − | 0.471856i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −29.1246 | + | 21.1603i | −1.79932 | + | 1.30729i | ||||
\(263\) | 14.0000 | 0.863277 | 0.431638 | − | 0.902047i | \(-0.357936\pi\) | ||||
0.431638 | + | 0.902047i | \(0.357936\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.00000 | −0.368577 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −4.63525 | − | 14.2658i | −0.283673 | − | 0.873056i | ||||
\(268\) | −4.32624 | + | 13.3148i | −0.264267 | + | 0.813330i | ||||
\(269\) | −8.09017 | − | 5.87785i | −0.493266 | − | 0.358379i | 0.313173 | − | 0.949696i | \(-0.398608\pi\) |
−0.806439 | + | 0.591317i | \(0.798608\pi\) | |||||||
\(270\) | 8.09017 | + | 5.87785i | 0.492352 | + | 0.357715i | ||||
\(271\) | −8.65248 | + | 26.6296i | −0.525600 | + | 1.61763i | 0.237525 | + | 0.971381i | \(0.423664\pi\) |
−0.763125 | + | 0.646250i | \(0.776336\pi\) | |||||||
\(272\) | 2.47214 | + | 7.60845i | 0.149895 | + | 0.461330i | ||||
\(273\) | −6.47214 | + | 4.70228i | −0.391711 | + | 0.284595i | ||||
\(274\) | 14.0000 | 0.845771 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 2.00000 | 0.120386 | ||||||||
\(277\) | 1.61803 | − | 1.17557i | 0.0972182 | − | 0.0706332i | −0.538114 | − | 0.842872i | \(-0.680863\pi\) |
0.635332 | + | 0.772239i | \(0.280863\pi\) | |||||||
\(278\) | −6.18034 | − | 19.0211i | −0.370672 | − | 1.14081i | ||||
\(279\) | −4.32624 | + | 13.3148i | −0.259005 | + | 0.797136i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 14.5623 | + | 10.5801i | 0.868714 | + | 0.631158i | 0.930242 | − | 0.366947i | \(-0.119597\pi\) |
−0.0615273 | + | 0.998105i | \(0.519597\pi\) | |||||||
\(282\) | 4.94427 | − | 15.2169i | 0.294427 | − | 0.906153i | ||||
\(283\) | 1.23607 | + | 3.80423i | 0.0734766 | + | 0.226138i | 0.981050 | − | 0.193756i | \(-0.0620672\pi\) |
−0.907573 | + | 0.419894i | \(0.862067\pi\) | |||||||
\(284\) | 4.85410 | − | 3.52671i | 0.288038 | − | 0.209272i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 16.0000 | 0.944450 | ||||||||
\(288\) | 12.9443 | − | 9.40456i | 0.762749 | − | 0.554169i | ||||
\(289\) | −4.01722 | − | 12.3637i | −0.236307 | − | 0.727279i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −5.66312 | − | 4.11450i | −0.331978 | − | 0.241196i | ||||
\(292\) | −6.47214 | − | 4.70228i | −0.378753 | − | 0.275180i | ||||
\(293\) | 7.41641 | − | 22.8254i | 0.433271 | − | 1.33347i | −0.461577 | − | 0.887100i | \(-0.652716\pi\) |
0.894848 | − | 0.446371i | \(-0.147284\pi\) | |||||||
\(294\) | −1.85410 | − | 5.70634i | −0.108133 | − | 0.332800i | ||||
\(295\) | −4.04508 | + | 2.93893i | −0.235514 | + | 0.171111i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 20.0000 | 1.15857 | ||||||||
\(299\) | 3.23607 | − | 2.35114i | 0.187147 | − | 0.135970i | ||||
\(300\) | 2.47214 | + | 7.60845i | 0.142729 | + | 0.439274i | ||||
\(301\) | 3.70820 | − | 11.4127i | 0.213737 | − | 0.657816i | ||||
\(302\) | 3.23607 | + | 2.35114i | 0.186215 | + | 0.135293i | ||||
\(303\) | 1.61803 | + | 1.17557i | 0.0929536 | + | 0.0675348i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 3.70820 | + | 11.4127i | 0.212331 | + | 0.653488i | ||||
\(306\) | 6.47214 | − | 4.70228i | 0.369987 | − | 0.268812i | ||||
\(307\) | 8.00000 | 0.456584 | 0.228292 | − | 0.973593i | \(-0.426686\pi\) | ||||
0.228292 | + | 0.973593i | \(0.426686\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 16.0000 | 0.910208 | ||||||||
\(310\) | 11.3262 | − | 8.22899i | 0.643287 | − | 0.467375i | ||||
\(311\) | 3.70820 | + | 11.4127i | 0.210273 | + | 0.647154i | 0.999456 | + | 0.0329949i | \(0.0105045\pi\) |
−0.789183 | + | 0.614159i | \(0.789495\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.809017 | + | 0.587785i | 0.0457283 | + | 0.0332236i | 0.610415 | − | 0.792082i | \(-0.291003\pi\) |
−0.564686 | + | 0.825306i | \(0.691003\pi\) | |||||||
\(314\) | −11.3262 | − | 8.22899i | −0.639177 | − | 0.464389i | ||||
\(315\) | 1.23607 | − | 3.80423i | 0.0696445 | − | 0.214344i | ||||
\(316\) | −6.18034 | − | 19.0211i | −0.347671 | − | 1.07002i | ||||
\(317\) | −10.5172 | + | 7.64121i | −0.590706 | + | 0.429173i | −0.842568 | − | 0.538590i | \(-0.818957\pi\) |
0.251862 | + | 0.967763i | \(0.418957\pi\) | |||||||
\(318\) | −12.0000 | −0.672927 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −8.00000 | −0.447214 | ||||||||
\(321\) | 14.5623 | − | 10.5801i | 0.812789 | − | 0.590526i | ||||
\(322\) | −1.23607 | − | 3.80423i | −0.0688834 | − | 0.212001i | ||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −1.61803 | − | 1.17557i | −0.0898908 | − | 0.0653095i | ||||
\(325\) | 12.9443 | + | 9.40456i | 0.718019 | + | 0.521671i | ||||
\(326\) | −2.47214 | + | 7.60845i | −0.136919 | + | 0.421393i | ||||
\(327\) | −3.09017 | − | 9.51057i | −0.170887 | − | 0.525935i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −16.0000 | −0.882109 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.00000 | 0.384755 | 0.192377 | − | 0.981321i | \(-0.438380\pi\) | ||||
0.192377 | + | 0.981321i | \(0.438380\pi\) | |||||||
\(332\) | 9.70820 | − | 7.05342i | 0.532807 | − | 0.387107i | ||||
\(333\) | −1.85410 | − | 5.70634i | −0.101604 | − | 0.312705i | ||||
\(334\) | 7.41641 | − | 22.8254i | 0.405808 | − | 1.24895i | ||||
\(335\) | 5.66312 | + | 4.11450i | 0.309409 | + | 0.224799i | ||||
\(336\) | 6.47214 | + | 4.70228i | 0.353084 | + | 0.256531i | ||||
\(337\) | −6.79837 | + | 20.9232i | −0.370331 | + | 1.13976i | 0.576244 | + | 0.817278i | \(0.304518\pi\) |
−0.946575 | + | 0.322484i | \(0.895482\pi\) | |||||||
\(338\) | −1.85410 | − | 5.70634i | −0.100850 | − | 0.310384i | ||||
\(339\) | 7.28115 | − | 5.29007i | 0.395458 | − | 0.287317i | ||||
\(340\) | −4.00000 | −0.216930 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −16.1803 | + | 11.7557i | −0.873656 | + | 0.634748i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.309017 | − | 0.951057i | 0.0166369 | − | 0.0512032i | ||||
\(346\) | −9.70820 | − | 7.05342i | −0.521916 | − | 0.379194i | ||||
\(347\) | −22.6525 | − | 16.4580i | −1.21605 | − | 0.883511i | −0.220283 | − | 0.975436i | \(-0.570698\pi\) |
−0.995766 | + | 0.0919250i | \(0.970698\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 9.27051 | + | 28.5317i | 0.496239 | + | 1.52727i | 0.815017 | + | 0.579437i | \(0.196728\pi\) |
−0.318778 | + | 0.947829i | \(0.603272\pi\) | |||||||
\(350\) | 12.9443 | − | 9.40456i | 0.691900 | − | 0.502695i | ||||
\(351\) | 20.0000 | 1.06752 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −21.0000 | −1.11772 | −0.558859 | − | 0.829263i | \(-0.688761\pi\) | ||||
−0.558859 | + | 0.829263i | \(0.688761\pi\) | |||||||
\(354\) | −8.09017 | + | 5.87785i | −0.429988 | + | 0.312404i | ||||
\(355\) | −0.927051 | − | 2.85317i | −0.0492028 | − | 0.151431i | ||||
\(356\) | 9.27051 | − | 28.5317i | 0.491336 | − | 1.51218i | ||||
\(357\) | 3.23607 | + | 2.35114i | 0.171271 | + | 0.124436i | ||||
\(358\) | −24.2705 | − | 17.6336i | −1.28274 | − | 0.931962i | ||||
\(359\) | −6.18034 | + | 19.0211i | −0.326186 | + | 1.00390i | 0.644717 | + | 0.764422i | \(0.276975\pi\) |
−0.970902 | + | 0.239475i | \(0.923025\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.3713 | − | 11.1679i | 0.809017 | − | 0.587785i | ||||
\(362\) | −14.0000 | −0.735824 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −16.0000 | −0.838628 | ||||||||
\(365\) | −3.23607 | + | 2.35114i | −0.169384 | + | 0.123064i | ||||
\(366\) | 7.41641 | + | 22.8254i | 0.387662 | + | 1.19310i | ||||
\(367\) | −5.25329 | + | 16.1680i | −0.274219 | + | 0.843961i | 0.715205 | + | 0.698914i | \(0.246333\pi\) |
−0.989425 | + | 0.145046i | \(0.953667\pi\) | |||||||
\(368\) | −3.23607 | − | 2.35114i | −0.168692 | − | 0.122562i | ||||
\(369\) | −12.9443 | − | 9.40456i | −0.673852 | − | 0.489582i | ||||
\(370\) | −1.85410 | + | 5.70634i | −0.0963902 | + | 0.296658i | ||||
\(371\) | 3.70820 | + | 11.4127i | 0.192520 | + | 0.592517i | ||||
\(372\) | 11.3262 | − | 8.22899i | 0.587238 | − | 0.426653i | ||||
\(373\) | −26.0000 | −1.34623 | −0.673114 | − | 0.739538i | \(-0.735044\pi\) | ||||
−0.673114 | + | 0.739538i | \(0.735044\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 9.00000 | 0.464758 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 6.18034 | − | 19.0211i | 0.317882 | − | 0.978341i | ||||
\(379\) | 4.04508 | + | 2.93893i | 0.207782 | + | 0.150963i | 0.686810 | − | 0.726837i | \(-0.259011\pi\) |
−0.479028 | + | 0.877800i | \(0.659011\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −2.47214 | + | 7.60845i | −0.126651 | + | 0.389793i | ||||
\(382\) | −10.5066 | − | 32.3359i | −0.537563 | − | 1.65445i | ||||
\(383\) | 0.809017 | − | 0.587785i | 0.0413388 | − | 0.0300344i | −0.566924 | − | 0.823770i | \(-0.691867\pi\) |
0.608263 | + | 0.793736i | \(0.291867\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −8.00000 | −0.407189 | ||||||||
\(387\) | −9.70820 | + | 7.05342i | −0.493496 | + | 0.358546i | ||||
\(388\) | −4.32624 | − | 13.3148i | −0.219631 | − | 0.675956i | ||||
\(389\) | −4.63525 | + | 14.2658i | −0.235017 | + | 0.723307i | 0.762102 | + | 0.647456i | \(0.224167\pi\) |
−0.997119 | + | 0.0758507i | \(0.975833\pi\) | |||||||
\(390\) | −6.47214 | − | 4.70228i | −0.327729 | − | 0.238109i | ||||
\(391\) | −1.61803 | − | 1.17557i | −0.0818275 | − | 0.0594512i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 5.56231 | + | 17.1190i | 0.280581 | + | 0.863540i | ||||
\(394\) | −3.23607 | + | 2.35114i | −0.163031 | + | 0.118449i | ||||
\(395\) | −10.0000 | −0.503155 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.00000 | −0.100377 | −0.0501886 | − | 0.998740i | \(-0.515982\pi\) | ||||
−0.0501886 | + | 0.998740i | \(0.515982\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.94427 | − | 15.2169i | 0.247214 | − | 0.760845i | ||||
\(401\) | −1.61803 | − | 1.17557i | −0.0808008 | − | 0.0587052i | 0.546652 | − | 0.837360i | \(-0.315902\pi\) |
−0.627452 | + | 0.778655i | \(0.715902\pi\) | |||||||
\(402\) | 11.3262 | + | 8.22899i | 0.564901 | + | 0.410425i | ||||
\(403\) | 8.65248 | − | 26.6296i | 0.431011 | − | 1.32651i | ||||
\(404\) | 1.23607 | + | 3.80423i | 0.0614967 | + | 0.189267i | ||||
\(405\) | −0.809017 | + | 0.587785i | −0.0402004 | + | 0.0292073i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 24.2705 | − | 17.6336i | 1.20010 | − | 0.871923i | 0.205805 | − | 0.978593i | \(-0.434019\pi\) |
0.994295 | + | 0.106670i | \(0.0340188\pi\) | |||||||
\(410\) | 4.94427 | + | 15.2169i | 0.244180 | + | 0.751509i | ||||
\(411\) | 2.16312 | − | 6.65740i | 0.106699 | − | 0.328385i | ||||
\(412\) | 25.8885 | + | 18.8091i | 1.27544 | + | 0.926659i | ||||
\(413\) | 8.09017 | + | 5.87785i | 0.398091 | + | 0.289230i | ||||
\(414\) | −1.23607 | + | 3.80423i | −0.0607494 | + | 0.186968i | ||||
\(415\) | −1.85410 | − | 5.70634i | −0.0910143 | − | 0.280113i | ||||
\(416\) | −25.8885 | + | 18.8091i | −1.26929 | + | 0.922193i | ||||
\(417\) | −10.0000 | −0.489702 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 20.0000 | 0.977064 | 0.488532 | − | 0.872546i | \(-0.337533\pi\) | ||||
0.488532 | + | 0.872546i | \(0.337533\pi\) | |||||||
\(420\) | −3.23607 | + | 2.35114i | −0.157904 | + | 0.114724i | ||||
\(421\) | 6.79837 | + | 20.9232i | 0.331332 | + | 1.01974i | 0.968501 | + | 0.249012i | \(0.0801057\pi\) |
−0.637168 | + | 0.770725i | \(0.719894\pi\) | |||||||
\(422\) | −7.41641 | + | 22.8254i | −0.361025 | + | 1.11112i | ||||
\(423\) | 12.9443 | + | 9.40456i | 0.629372 | + | 0.457266i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 2.47214 | − | 7.60845i | 0.119916 | − | 0.369064i | ||||
\(426\) | −1.85410 | − | 5.70634i | −0.0898315 | − | 0.276473i | ||||
\(427\) | 19.4164 | − | 14.1068i | 0.939626 | − | 0.682678i | ||||
\(428\) | 36.0000 | 1.74013 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 12.0000 | 0.578691 | ||||||||
\(431\) | 14.5623 | − | 10.5801i | 0.701442 | − | 0.509627i | −0.178960 | − | 0.983856i | \(-0.557273\pi\) |
0.880401 | + | 0.474229i | \(0.157273\pi\) | |||||||
\(432\) | −6.18034 | − | 19.0211i | −0.297352 | − | 0.915155i | ||||
\(433\) | −3.39919 | + | 10.4616i | −0.163354 | + | 0.502753i | −0.998911 | − | 0.0466507i | \(-0.985145\pi\) |
0.835557 | + | 0.549404i | \(0.185145\pi\) | |||||||
\(434\) | −22.6525 | − | 16.4580i | −1.08735 | − | 0.790009i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 6.18034 | − | 19.0211i | 0.295985 | − | 0.910947i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −6.47214 | + | 4.70228i | −0.309251 | + | 0.224684i | ||||
\(439\) | 40.0000 | 1.90910 | 0.954548 | − | 0.298057i | \(-0.0963387\pi\) | ||||
0.954548 | + | 0.298057i | \(0.0963387\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 6.00000 | 0.285714 | ||||||||
\(442\) | −12.9443 | + | 9.40456i | −0.615696 | + | 0.447329i | ||||
\(443\) | −3.39919 | − | 10.4616i | −0.161500 | − | 0.497047i | 0.837261 | − | 0.546803i | \(-0.184155\pi\) |
−0.998761 | + | 0.0497566i | \(0.984155\pi\) | |||||||
\(444\) | −1.85410 | + | 5.70634i | −0.0879918 | + | 0.270811i | ||||
\(445\) | −12.1353 | − | 8.81678i | −0.575266 | − | 0.417955i | ||||
\(446\) | 30.7426 | + | 22.3358i | 1.45571 | + | 1.05763i | ||||
\(447\) | 3.09017 | − | 9.51057i | 0.146160 | − | 0.449834i | ||||
\(448\) | 4.94427 | + | 15.2169i | 0.233595 | + | 0.718931i | ||||
\(449\) | −28.3156 | + | 20.5725i | −1.33630 | + | 0.970876i | −0.336724 | + | 0.941603i | \(0.609319\pi\) |
−0.999571 | + | 0.0292722i | \(0.990681\pi\) | |||||||
\(450\) | −16.0000 | −0.754247 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 18.0000 | 0.846649 | ||||||||
\(453\) | 1.61803 | − | 1.17557i | 0.0760219 | − | 0.0552331i | ||||
\(454\) | −11.1246 | − | 34.2380i | −0.522104 | − | 1.60687i | ||||
\(455\) | −2.47214 | + | 7.60845i | −0.115896 | + | 0.356690i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.70820 | + | 7.05342i | 0.454131 | + | 0.329945i | 0.791224 | − | 0.611526i | \(-0.209444\pi\) |
−0.337094 | + | 0.941471i | \(0.609444\pi\) | |||||||
\(458\) | −9.27051 | + | 28.5317i | −0.433182 | + | 1.33320i | ||||
\(459\) | −3.09017 | − | 9.51057i | −0.144237 | − | 0.443915i | ||||
\(460\) | 1.61803 | − | 1.17557i | 0.0754412 | − | 0.0548113i | ||||
\(461\) | 12.0000 | 0.558896 | 0.279448 | − | 0.960161i | \(-0.409849\pi\) | ||||
0.279448 | + | 0.960161i | \(0.409849\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.0000 | −0.511213 | −0.255607 | − | 0.966781i | \(-0.582275\pi\) | ||||
−0.255607 | + | 0.966781i | \(0.582275\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −2.16312 | − | 6.65740i | −0.100312 | − | 0.308729i | ||||
\(466\) | −14.8328 | + | 45.6507i | −0.687117 | + | 2.11473i | ||||
\(467\) | 21.8435 | + | 15.8702i | 1.01079 | + | 0.734385i | 0.964376 | − | 0.264537i | \(-0.0852190\pi\) |
0.0464191 | + | 0.998922i | \(0.485219\pi\) | |||||||
\(468\) | 12.9443 | + | 9.40456i | 0.598349 | + | 0.434726i | ||||
\(469\) | 4.32624 | − | 13.3148i | 0.199767 | − | 0.614820i | ||||
\(470\) | −4.94427 | − | 15.2169i | −0.228062 | − | 0.701903i | ||||
\(471\) | −5.66312 | + | 4.11450i | −0.260943 | + | 0.189586i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −20.0000 | −0.918630 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 2.47214 | + | 7.60845i | 0.113310 | + | 0.348733i | ||||
\(477\) | 3.70820 | − | 11.4127i | 0.169787 | − | 0.522551i | ||||
\(478\) | −48.5410 | − | 35.2671i | −2.22021 | − | 1.61308i | ||||
\(479\) | −16.1803 | − | 11.7557i | −0.739299 | − | 0.537132i | 0.153193 | − | 0.988196i | \(-0.451044\pi\) |
−0.892491 | + | 0.451064i | \(0.851044\pi\) | |||||||
\(480\) | −2.47214 | + | 7.60845i | −0.112837 | + | 0.347277i | ||||
\(481\) | 3.70820 | + | 11.4127i | 0.169080 | + | 0.520373i | ||||
\(482\) | −12.9443 | + | 9.40456i | −0.589595 | + | 0.428366i | ||||
\(483\) | −2.00000 | −0.0910032 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −7.00000 | −0.317854 | ||||||||
\(486\) | −25.8885 | + | 18.8091i | −1.17433 | + | 0.853199i | ||||
\(487\) | 7.10739 | + | 21.8743i | 0.322067 | + | 0.991219i | 0.972747 | + | 0.231868i | \(0.0744836\pi\) |
−0.650681 | + | 0.759351i | \(0.725516\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 3.23607 | + | 2.35114i | 0.146340 | + | 0.106322i | ||||
\(490\) | −4.85410 | − | 3.52671i | −0.219286 | − | 0.159321i | ||||
\(491\) | −2.47214 | + | 7.60845i | −0.111566 | + | 0.343365i | −0.991215 | − | 0.132258i | \(-0.957777\pi\) |
0.879649 | + | 0.475623i | \(0.157777\pi\) | |||||||
\(492\) | 4.94427 | + | 15.2169i | 0.222905 | + | 0.686031i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −28.0000 | −1.25724 | ||||||||
\(497\) | −4.85410 | + | 3.52671i | −0.217736 | + | 0.158195i | ||||
\(498\) | −3.70820 | − | 11.4127i | −0.166169 | − | 0.511414i | ||||
\(499\) | 6.18034 | − | 19.0211i | 0.276670 | − | 0.851503i | −0.712103 | − | 0.702075i | \(-0.752257\pi\) |
0.988773 | − | 0.149427i | \(-0.0477430\pi\) | |||||||
\(500\) | 14.5623 | + | 10.5801i | 0.651246 | + | 0.473158i | ||||
\(501\) | −9.70820 | − | 7.05342i | −0.433731 | − | 0.315124i | ||||
\(502\) | 14.2148 | − | 43.7486i | 0.634437 | − | 1.95260i | ||||
\(503\) | −8.03444 | − | 24.7275i | −0.358238 | − | 1.10254i | −0.954108 | − | 0.299462i | \(-0.903193\pi\) |
0.595870 | − | 0.803081i | \(-0.296807\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.00000 | 0.0889988 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −3.00000 | −0.133235 | ||||||||
\(508\) | −12.9443 | + | 9.40456i | −0.574309 | + | 0.417260i | ||||
\(509\) | 4.63525 | + | 14.2658i | 0.205454 | + | 0.632323i | 0.999694 | + | 0.0247189i | \(0.00786908\pi\) |
−0.794240 | + | 0.607604i | \(0.792131\pi\) | |||||||
\(510\) | −1.23607 | + | 3.80423i | −0.0547340 | + | 0.168454i | ||||
\(511\) | 6.47214 | + | 4.70228i | 0.286310 | + | 0.208017i | ||||
\(512\) | 25.8885 | + | 18.8091i | 1.14412 | + | 0.831254i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.23607 | + | 3.80423i | 0.0545206 | + | 0.167797i | ||||
\(515\) | 12.9443 | − | 9.40456i | 0.570393 | − | 0.414415i | ||||
\(516\) | 12.0000 | 0.528271 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 12.0000 | 0.527250 | ||||||||
\(519\) | −4.85410 | + | 3.52671i | −0.213071 | + | 0.154805i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −0.927051 | + | 2.85317i | −0.0406148 | + | 0.125000i | −0.969308 | − | 0.245849i | \(-0.920933\pi\) |
0.928693 | + | 0.370849i | \(0.120933\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 12.9443 | + | 9.40456i | 0.566013 | + | 0.411233i | 0.833655 | − | 0.552286i | \(-0.186244\pi\) |
−0.267641 | + | 0.963519i | \(0.586244\pi\) | |||||||
\(524\) | −11.1246 | + | 34.2380i | −0.485981 | + | 1.49570i | ||||
\(525\) | −2.47214 | − | 7.60845i | −0.107893 | − | 0.332060i | ||||
\(526\) | 22.6525 | − | 16.4580i | 0.987695 | − | 0.717602i | ||||
\(527\) | −14.0000 | −0.609850 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.0000 | −0.956522 | ||||||||
\(530\) | −9.70820 | + | 7.05342i | −0.421697 | + | 0.306381i | ||||
\(531\) | −3.09017 | − | 9.51057i | −0.134102 | − | 0.412723i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 25.8885 | + | 18.8091i | 1.12136 | + | 0.814714i | ||||
\(534\) | −24.2705 | − | 17.6336i | −1.05029 | − | 0.763079i | ||||
\(535\) | 5.56231 | − | 17.1190i | 0.240479 | − | 0.740120i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −12.1353 | + | 8.81678i | −0.523675 | + | 0.380472i | ||||
\(538\) | −20.0000 | −0.862261 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 10.0000 | 0.430331 | ||||||||
\(541\) | 6.47214 | − | 4.70228i | 0.278259 | − | 0.202167i | −0.439899 | − | 0.898047i | \(-0.644986\pi\) |
0.718158 | + | 0.695880i | \(0.244986\pi\) | |||||||
\(542\) | 17.3050 | + | 53.2592i | 0.743311 | + | 2.28768i | ||||
\(543\) | −2.16312 | + | 6.65740i | −0.0928283 | + | 0.285696i | ||||
\(544\) | 12.9443 | + | 9.40456i | 0.554981 | + | 0.403217i | ||||
\(545\) | −8.09017 | − | 5.87785i | −0.346545 | − | 0.251780i | ||||
\(546\) | −4.94427 | + | 15.2169i | −0.211595 | + | 0.651223i | ||||
\(547\) | 2.47214 | + | 7.60845i | 0.105701 | + | 0.325314i | 0.989894 | − | 0.141807i | \(-0.0452913\pi\) |
−0.884193 | + | 0.467121i | \(0.845291\pi\) | |||||||
\(548\) | 11.3262 | − | 8.22899i | 0.483833 | − | 0.351525i | ||||
\(549\) | −24.0000 | −1.02430 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 6.18034 | + | 19.0211i | 0.262815 | + | 0.808861i | ||||
\(554\) | 1.23607 | − | 3.80423i | 0.0525155 | − | 0.161626i | ||||
\(555\) | 2.42705 | + | 1.76336i | 0.103023 | + | 0.0748503i | ||||
\(556\) | −16.1803 | − | 11.7557i | −0.686199 | − | 0.498553i | ||||
\(557\) | −0.618034 | + | 1.90211i | −0.0261869 | + | 0.0805951i | −0.963296 | − | 0.268442i | \(-0.913491\pi\) |
0.937109 | + | 0.349037i | \(0.113491\pi\) | |||||||
\(558\) | 8.65248 | + | 26.6296i | 0.366289 | + | 1.12732i | ||||
\(559\) | 19.4164 | − | 14.1068i | 0.821227 | − | 0.596656i | ||||
\(560\) | 8.00000 | 0.338062 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 36.0000 | 1.51857 | ||||||||
\(563\) | −3.23607 | + | 2.35114i | −0.136384 | + | 0.0990888i | −0.653885 | − | 0.756594i | \(-0.726862\pi\) |
0.517501 | + | 0.855682i | \(0.326862\pi\) | |||||||
\(564\) | −4.94427 | − | 15.2169i | −0.208191 | − | 0.640747i | ||||
\(565\) | 2.78115 | − | 8.55951i | 0.117004 | − | 0.360101i | ||||
\(566\) | 6.47214 | + | 4.70228i | 0.272044 | + | 0.197652i | ||||
\(567\) | 1.61803 | + | 1.17557i | 0.0679510 | + | 0.0493693i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −28.0000 | −1.17176 | −0.585882 | − | 0.810397i | \(-0.699252\pi\) | ||||
−0.585882 | + | 0.810397i | \(0.699252\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −17.0000 | −0.710185 | ||||||||
\(574\) | 25.8885 | − | 18.8091i | 1.08057 | − | 0.785078i | ||||
\(575\) | 1.23607 | + | 3.80423i | 0.0515476 | + | 0.158647i | ||||
\(576\) | 4.94427 | − | 15.2169i | 0.206011 | − | 0.634038i | ||||
\(577\) | −26.6976 | − | 19.3969i | −1.11143 | − | 0.807504i | −0.128545 | − | 0.991704i | \(-0.541031\pi\) |
−0.982889 | + | 0.184200i | \(0.941031\pi\) | |||||||
\(578\) | −21.0344 | − | 15.2824i | −0.874917 | − | 0.635665i | ||||
\(579\) | −1.23607 | + | 3.80423i | −0.0513692 | + | 0.158098i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −9.70820 | + | 7.05342i | −0.402764 | + | 0.292625i | ||||
\(582\) | −14.0000 | −0.580319 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 6.47214 | − | 4.70228i | 0.267590 | − | 0.194415i | ||||
\(586\) | −14.8328 | − | 45.6507i | −0.612738 | − | 1.88581i | ||||
\(587\) | 8.65248 | − | 26.6296i | 0.357126 | − | 1.09912i | −0.597641 | − | 0.801764i | \(-0.703895\pi\) |
0.954767 | − | 0.297356i | \(-0.0961050\pi\) | |||||||
\(588\) | −4.85410 | − | 3.52671i | −0.200180 | − | 0.145439i | ||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −3.09017 | + | 9.51057i | −0.127220 | + | 0.391544i | ||||
\(591\) | 0.618034 | + | 1.90211i | 0.0254225 | + | 0.0782425i | ||||
\(592\) | 9.70820 | − | 7.05342i | 0.399005 | − | 0.289894i | ||||
\(593\) | 44.0000 | 1.80686 | 0.903432 | − | 0.428732i | \(-0.141040\pi\) | ||||
0.903432 | + | 0.428732i | \(0.141040\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.00000 | 0.163984 | ||||||||
\(596\) | 16.1803 | − | 11.7557i | 0.662773 | − | 0.481532i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 2.47214 | − | 7.60845i | 0.101093 | − | 0.311133i | ||||
\(599\) | −32.3607 | − | 23.5114i | −1.32222 | − | 0.960650i | −0.999902 | − | 0.0140193i | \(-0.995537\pi\) |
−0.322320 | − | 0.946631i | \(-0.604463\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.618034 | − | 1.90211i | 0.0252101 | − | 0.0775888i | −0.937660 | − | 0.347554i | \(-0.887012\pi\) |
0.962870 | + | 0.269965i | \(0.0870123\pi\) | |||||||
\(602\) | −7.41641 | − | 22.8254i | −0.302270 | − | 0.930292i | ||||
\(603\) | −11.3262 | + | 8.22899i | −0.461240 | + | 0.335111i | ||||
\(604\) | 4.00000 | 0.162758 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 4.00000 | 0.162489 | ||||||||
\(607\) | 17.7984 | − | 12.9313i | 0.722414 | − | 0.524864i | −0.164741 | − | 0.986337i | \(-0.552679\pi\) |
0.887154 | + | 0.461473i | \(0.152679\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 19.4164 | + | 14.1068i | 0.786147 | + | 0.571170i | ||||
\(611\) | −25.8885 | − | 18.8091i | −1.04734 | − | 0.760936i | ||||
\(612\) | 2.47214 | − | 7.60845i | 0.0999302 | − | 0.307553i | ||||
\(613\) | −4.94427 | − | 15.2169i | −0.199697 | − | 0.614605i | −0.999890 | − | 0.0148615i | \(-0.995269\pi\) |
0.800192 | − | 0.599744i | \(-0.204731\pi\) | |||||||
\(614\) | 12.9443 | − | 9.40456i | 0.522388 | − | 0.379537i | ||||
\(615\) | 8.00000 | 0.322591 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 18.0000 | 0.724653 | 0.362326 | − | 0.932051i | \(-0.381983\pi\) | ||||
0.362326 | + | 0.932051i | \(0.381983\pi\) | |||||||
\(618\) | 25.8885 | − | 18.8091i | 1.04139 | − | 0.756614i | ||||
\(619\) | −7.72542 | − | 23.7764i | −0.310511 | − | 0.955655i | −0.977563 | − | 0.210643i | \(-0.932444\pi\) |
0.667052 | − | 0.745011i | \(-0.267556\pi\) | |||||||
\(620\) | 4.32624 | − | 13.3148i | 0.173746 | − | 0.534735i | ||||
\(621\) | 4.04508 | + | 2.93893i | 0.162324 | + | 0.117935i | ||||
\(622\) | 19.4164 | + | 14.1068i | 0.778527 | + | 0.565633i | ||||
\(623\) | −9.27051 | + | 28.5317i | −0.371415 | + | 1.14310i | ||||
\(624\) | 4.94427 | + | 15.2169i | 0.197929 | + | 0.609164i | ||||
\(625\) | −8.89919 | + | 6.46564i | −0.355967 | + | 0.258626i | ||||
\(626\) | 2.00000 | 0.0799361 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −14.0000 | −0.558661 | ||||||||
\(629\) | 4.85410 | − | 3.52671i | 0.193546 | − | 0.140619i | ||||
\(630\) | −2.47214 | − | 7.60845i | −0.0984923 | − | 0.303128i | ||||
\(631\) | 2.16312 | − | 6.65740i | 0.0861124 | − | 0.265027i | −0.898723 | − | 0.438516i | \(-0.855504\pi\) |
0.984836 | + | 0.173489i | \(0.0555042\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 9.70820 | + | 7.05342i | 0.385866 | + | 0.280348i | ||||
\(634\) | −8.03444 | + | 24.7275i | −0.319088 | + | 0.982053i | ||||
\(635\) | 2.47214 | + | 7.60845i | 0.0981037 | + | 0.301932i | ||||
\(636\) | −9.70820 | + | 7.05342i | −0.384955 | + | 0.279686i | ||||
\(637\) | −12.0000 | −0.475457 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 6.00000 | 0.237356 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −10.1976 | − | 31.3849i | −0.402779 | − | 1.23963i | −0.922735 | − | 0.385434i | \(-0.874052\pi\) |
0.519956 | − | 0.854193i | \(-0.325948\pi\) | |||||||
\(642\) | 11.1246 | − | 34.2380i | 0.439053 | − | 1.35127i | ||||
\(643\) | −23.4615 | − | 17.0458i | −0.925231 | − | 0.672220i | 0.0195896 | − | 0.999808i | \(-0.493764\pi\) |
−0.944821 | + | 0.327588i | \(0.893764\pi\) | |||||||
\(644\) | −3.23607 | − | 2.35114i | −0.127519 | − | 0.0926479i | ||||
\(645\) | 1.85410 | − | 5.70634i | 0.0730052 | − | 0.224687i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 5.66312 | − | 4.11450i | 0.222640 | − | 0.161758i | −0.470874 | − | 0.882200i | \(-0.656061\pi\) |
0.693514 | + | 0.720443i | \(0.256061\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 32.0000 | 1.25514 | ||||||||
\(651\) | −11.3262 | + | 8.22899i | −0.443910 | + | 0.322520i | ||||
\(652\) | 2.47214 | + | 7.60845i | 0.0968163 | + | 0.297970i | ||||
\(653\) | −12.6697 | + | 38.9933i | −0.495804 | + | 1.52593i | 0.319897 | + | 0.947452i | \(0.396352\pi\) |
−0.815701 | + | 0.578474i | \(0.803648\pi\) | |||||||
\(654\) | −16.1803 | − | 11.7557i | −0.632701 | − | 0.459684i | ||||
\(655\) | 14.5623 | + | 10.5801i | 0.568996 | + | 0.413400i | ||||
\(656\) | 9.88854 | − | 30.4338i | 0.386083 | − | 1.18824i | ||||
\(657\) | −2.47214 | − | 7.60845i | −0.0964472 | − | 0.296834i | ||||
\(658\) | −25.8885 | + | 18.8091i | −1.00924 | + | 0.733256i | ||||
\(659\) | 10.0000 | 0.389545 | 0.194772 | − | 0.980848i | \(-0.437603\pi\) | ||||
0.194772 | + | 0.980848i | \(0.437603\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 37.0000 | 1.43913 | 0.719567 | − | 0.694423i | \(-0.244340\pi\) | ||||
0.719567 | + | 0.694423i | \(0.244340\pi\) | |||||||
\(662\) | 11.3262 | − | 8.22899i | 0.440207 | − | 0.319829i | ||||
\(663\) | 2.47214 | + | 7.60845i | 0.0960098 | + | 0.295488i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −9.70820 | − | 7.05342i | −0.376185 | − | 0.273315i | ||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −7.41641 | − | 22.8254i | −0.286949 | − | 0.883140i | ||||
\(669\) | 15.3713 | − | 11.1679i | 0.594290 | − | 0.431777i | ||||
\(670\) | 14.0000 | 0.540867 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 16.0000 | 0.617213 | ||||||||
\(673\) | −11.3262 | + | 8.22899i | −0.436594 | + | 0.317204i | −0.784280 | − | 0.620407i | \(-0.786968\pi\) |
0.347686 | + | 0.937611i | \(0.386968\pi\) | |||||||
\(674\) | 13.5967 | + | 41.8465i | 0.523727 | + | 1.61187i | ||||
\(675\) | −6.18034 | + | 19.0211i | −0.237881 | + | 0.732124i | ||||
\(676\) | −4.85410 | − | 3.52671i | −0.186696 | − | 0.135643i | ||||
\(677\) | 33.9787 | + | 24.6870i | 1.30591 | + | 0.948798i | 0.999995 | − | 0.00326161i | \(-0.00103820\pi\) |
0.305913 | + | 0.952059i | \(0.401038\pi\) | |||||||
\(678\) | 5.56231 | − | 17.1190i | 0.213619 | − | 0.657452i | ||||
\(679\) | 4.32624 | + | 13.3148i | 0.166026 | + | 0.510975i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −18.0000 | −0.689761 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −16.0000 | −0.612223 | −0.306111 | − | 0.951996i | \(-0.599028\pi\) | ||||
−0.306111 | + | 0.951996i | \(0.599028\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.16312 | − | 6.65740i | −0.0826485 | − | 0.254366i | ||||
\(686\) | −12.3607 | + | 38.0423i | −0.471933 | + | 1.45246i | ||||
\(687\) | 12.1353 | + | 8.81678i | 0.462989 | + | 0.336381i | ||||
\(688\) | −19.4164 | − | 14.1068i | −0.740244 | − | 0.537818i | ||||
\(689\) | −7.41641 | + | 22.8254i | −0.282543 | + | 0.869577i | ||||
\(690\) | −0.618034 | − | 1.90211i | −0.0235282 | − | 0.0724122i | ||||
\(691\) | −13.7533 | + | 9.99235i | −0.523200 | + | 0.380127i | −0.817808 | − | 0.575491i | \(-0.804811\pi\) |
0.294608 | + | 0.955618i | \(0.404811\pi\) | |||||||
\(692\) | −12.0000 | −0.456172 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −56.0000 | −2.12573 | ||||||||
\(695\) | −8.09017 | + | 5.87785i | −0.306878 | + | 0.222960i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.94427 | − | 15.2169i | 0.187278 | − | 0.576381i | ||||
\(698\) | 48.5410 | + | 35.2671i | 1.83730 | + | 1.33488i | ||||
\(699\) | 19.4164 | + | 14.1068i | 0.734396 | + | 0.533570i | ||||
\(700\) | 4.94427 | − | 15.2169i | 0.186876 | − | 0.575145i | ||||
\(701\) | 0.618034 | + | 1.90211i | 0.0233428 | + | 0.0718418i | 0.962049 | − | 0.272876i | \(-0.0879747\pi\) |
−0.938707 | + | 0.344717i | \(0.887975\pi\) | |||||||
\(702\) | 32.3607 | − | 23.5114i | 1.22138 | − | 0.887381i | ||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −8.00000 | −0.301297 | ||||||||
\(706\) | −33.9787 | + | 24.6870i | −1.27881 | + | 0.929107i | ||||
\(707\) | −1.23607 | − | 3.80423i | −0.0464871 | − | 0.143073i | ||||
\(708\) | −3.09017 | + | 9.51057i | −0.116136 | + | 0.357429i | ||||
\(709\) | 20.2254 | + | 14.6946i | 0.759582 | + | 0.551868i | 0.898782 | − | 0.438396i | \(-0.144453\pi\) |
−0.139200 | + | 0.990264i | \(0.544453\pi\) | |||||||
\(710\) | −4.85410 | − | 3.52671i | −0.182171 | − | 0.132355i | ||||
\(711\) | 6.18034 | − | 19.0211i | 0.231781 | − | 0.713348i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 5.66312 | − | 4.11450i | 0.212085 | − | 0.154089i | ||||
\(714\) | 8.00000 | 0.299392 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −30.0000 | −1.12115 | ||||||||
\(717\) | −24.2705 | + | 17.6336i | −0.906399 | + | 0.658537i | ||||
\(718\) | 12.3607 | + | 38.0423i | 0.461296 | + | 1.41972i | ||||
\(719\) | 4.63525 | − | 14.2658i | 0.172866 | − | 0.532026i | −0.826664 | − | 0.562696i | \(-0.809764\pi\) |
0.999530 | + | 0.0306699i | \(0.00976407\pi\) | |||||||
\(720\) | −6.47214 | − | 4.70228i | −0.241202 | − | 0.175244i | ||||
\(721\) | −25.8885 | − | 18.8091i | −0.964140 | − | 0.700489i | ||||
\(722\) | 11.7426 | − | 36.1401i | 0.437016 | − | 1.34500i | ||||
\(723\) | 2.47214 | + | 7.60845i | 0.0919397 | + | 0.282961i | ||||
\(724\) | −11.3262 | + | 8.22899i | −0.420936 | + | 0.305828i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.00000 | 0.111264 | 0.0556319 | − | 0.998451i | \(-0.482283\pi\) | ||||
0.0556319 | + | 0.998451i | \(0.482283\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 4.01722 | + | 12.3637i | 0.148786 | + | 0.457916i | ||||
\(730\) | −2.47214 | + | 7.60845i | −0.0914979 | + | 0.281601i | ||||
\(731\) | −9.70820 | − | 7.05342i | −0.359071 | − | 0.260880i | ||||
\(732\) | 19.4164 | + | 14.1068i | 0.717651 | + | 0.521404i | ||||
\(733\) | −11.1246 | + | 34.2380i | −0.410897 | + | 1.26461i | 0.504973 | + | 0.863135i | \(0.331502\pi\) |
−0.915870 | + | 0.401475i | \(0.868498\pi\) | |||||||
\(734\) | 10.5066 | + | 32.3359i | 0.387805 | + | 1.19354i | ||||
\(735\) | −2.42705 | + | 1.76336i | −0.0895231 | + | 0.0650424i | ||||
\(736\) | −8.00000 | −0.294884 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −32.0000 | −1.17794 | ||||||||
\(739\) | −40.4508 | + | 29.3893i | −1.48801 | + | 1.08110i | −0.513144 | + | 0.858302i | \(0.671519\pi\) |
−0.974864 | + | 0.222799i | \(0.928481\pi\) | |||||||
\(740\) | 1.85410 | + | 5.70634i | 0.0681581 | + | 0.209769i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 19.4164 | + | 14.1068i | 0.712799 | + | 0.517879i | ||||
\(743\) | −3.23607 | − | 2.35114i | −0.118720 | − | 0.0862550i | 0.526841 | − | 0.849964i | \(-0.323376\pi\) |
−0.645561 | + | 0.763709i | \(0.723376\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −3.09017 | − | 9.51057i | −0.113215 | − | 0.348440i | ||||
\(746\) | −42.0689 | + | 30.5648i | −1.54025 | + | 1.11906i | ||||
\(747\) | 12.0000 | 0.439057 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −36.0000 | −1.31541 | ||||||||
\(750\) | 14.5623 | − | 10.5801i | 0.531740 | − | 0.386332i | ||||
\(751\) | −7.10739 | − | 21.8743i | −0.259352 | − | 0.798205i | −0.992941 | − | 0.118611i | \(-0.962156\pi\) |
0.733588 | − | 0.679594i | \(-0.237844\pi\) | |||||||
\(752\) | −9.88854 | + | 30.4338i | −0.360598 | + | 1.10981i | ||||
\(753\) | −18.6074 | − | 13.5191i | −0.678091 | − | 0.492662i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0.618034 | − | 1.90211i | 0.0224926 | − | 0.0692250i | ||||
\(756\) | −6.18034 | − | 19.0211i | −0.224777 | − | 0.691792i | ||||
\(757\) | 17.7984 | − | 12.9313i | 0.646893 | − | 0.469995i | −0.215318 | − | 0.976544i | \(-0.569079\pi\) |
0.862211 | + | 0.506549i | \(0.169079\pi\) | |||||||
\(758\) | 10.0000 | 0.363216 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −9.70820 | + | 7.05342i | −0.351922 | + | 0.255686i | −0.749675 | − | 0.661806i | \(-0.769790\pi\) |
0.397753 | + | 0.917493i | \(0.369790\pi\) | |||||||
\(762\) | 4.94427 | + | 15.2169i | 0.179112 | + | 0.551250i | ||||
\(763\) | −6.18034 | + | 19.0211i | −0.223743 | + | 0.688611i | ||||
\(764\) | −27.5066 | − | 19.9847i | −0.995153 | − | 0.723021i | ||||
\(765\) | −3.23607 | − | 2.35114i | −0.117000 | − | 0.0850057i | ||||
\(766\) | 0.618034 | − | 1.90211i | 0.0223305 | − | 0.0687261i | ||||
\(767\) | 6.18034 | + | 19.0211i | 0.223159 | + | 0.686813i | ||||
\(768\) | 12.9443 | − | 9.40456i | 0.467086 | − | 0.339358i | ||||
\(769\) | 20.0000 | 0.721218 | 0.360609 | − | 0.932717i | \(-0.382569\pi\) | ||||
0.360609 | + | 0.932717i | \(0.382569\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.00000 | 0.0720282 | ||||||||
\(772\) | −6.47214 | + | 4.70228i | −0.232937 | + | 0.169239i | ||||
\(773\) | −1.85410 | − | 5.70634i | −0.0666874 | − | 0.205243i | 0.912160 | − | 0.409834i | \(-0.134413\pi\) |
−0.978847 | + | 0.204591i | \(0.934413\pi\) | |||||||
\(774\) | −7.41641 | + | 22.8254i | −0.266577 | + | 0.820440i | ||||
\(775\) | 22.6525 | + | 16.4580i | 0.813701 | + | 0.591188i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 1.85410 | − | 5.70634i | 0.0665155 | − | 0.204714i | ||||
\(778\) | 9.27051 | + | 28.5317i | 0.332364 | + | 1.02291i | ||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −8.00000 | −0.286446 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −4.00000 | −0.143040 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.70820 | + | 11.4127i | 0.132436 | + | 0.407596i | ||||
\(785\) | −2.16312 | + | 6.65740i | −0.0772050 | + | 0.237613i | ||||
\(786\) | 29.1246 | + | 21.1603i | 1.03884 | + | 0.754762i | ||||
\(787\) | 25.8885 | + | 18.8091i | 0.922827 | + | 0.670473i | 0.944226 | − | 0.329298i | \(-0.106812\pi\) |
−0.0213991 | + | 0.999771i | \(0.506812\pi\) | |||||||
\(788\) | −1.23607 | + | 3.80423i | −0.0440331 | + | 0.135520i | ||||
\(789\) | −4.32624 | − | 13.3148i | −0.154018 | − | 0.474019i | ||||
\(790\) | −16.1803 | + | 11.7557i | −0.575671 | + | 0.418249i | ||||
\(791\) | −18.0000 | −0.640006 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 48.0000 | 1.70453 | ||||||||
\(794\) | −3.23607 | + | 2.35114i | −0.114844 | + | 0.0834389i | ||||
\(795\) | 1.85410 | + | 5.70634i | 0.0657582 | + | 0.202383i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −42.8779 | − | 31.1526i | −1.51881 | − | 1.10348i | −0.962072 | − | 0.272796i | \(-0.912051\pi\) |
−0.556741 | − | 0.830686i | \(-0.687949\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −4.94427 | + | 15.2169i | −0.174916 | + | 0.538335i | ||||
\(800\) | −9.88854 | − | 30.4338i | −0.349613 | − | 1.07600i | ||||
\(801\) | 24.2705 | − | 17.6336i | 0.857556 | − | 0.623051i | ||||
\(802\) | −4.00000 | −0.141245 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 14.0000 | 0.493742 | ||||||||
\(805\) | −1.61803 | + | 1.17557i | −0.0570282 | + | 0.0414334i | ||||
\(806\) | −17.3050 | − | 53.2592i | −0.609541 | − | 1.87597i | ||||
\(807\) | −3.09017 | + | 9.51057i | −0.108779 | + | 0.334788i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(810\) | −0.618034 | + | 1.90211i | −0.0217155 | + | 0.0668334i | ||||
\(811\) | −11.7426 | − | 36.1401i | −0.412340 | − | 1.26905i | −0.914609 | − | 0.404340i | \(-0.867501\pi\) |
0.502268 | − | 0.864712i | \(-0.332499\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 28.0000 | 0.982003 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 4.00000 | 0.140114 | ||||||||
\(816\) | 6.47214 | − | 4.70228i | 0.226570 | − | 0.164613i | ||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 18.5410 | − | 57.0634i | 0.648272 | − | 1.99517i | ||||
\(819\) | −12.9443 | − | 9.40456i | −0.452309 | − | 0.328622i | ||||
\(820\) | 12.9443 | + | 9.40456i | 0.452034 | + | 0.328422i | ||||
\(821\) | 6.79837 | − | 20.9232i | 0.237265 | − | 0.730226i | −0.759548 | − | 0.650451i | \(-0.774580\pi\) |
0.996813 | − | 0.0797750i | \(-0.0254202\pi\) | |||||||
\(822\) | −4.32624 | − | 13.3148i | −0.150895 | − | 0.464407i | ||||
\(823\) | −31.5517 | + | 22.9236i | −1.09982 | + | 0.799067i | −0.981031 | − | 0.193852i | \(-0.937902\pi\) |
−0.118791 | + | 0.992919i | \(0.537902\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 20.0000 | 0.695889 | ||||||||
\(827\) | 42.0689 | − | 30.5648i | 1.46288 | − | 1.06284i | 0.480277 | − | 0.877117i | \(-0.340536\pi\) |
0.982601 | − | 0.185726i | \(-0.0594638\pi\) | |||||||
\(828\) | 1.23607 | + | 3.80423i | 0.0429563 | + | 0.132206i | ||||
\(829\) | 7.72542 | − | 23.7764i | 0.268315 | − | 0.825789i | −0.722596 | − | 0.691271i | \(-0.757051\pi\) |
0.990911 | − | 0.134518i | \(-0.0429487\pi\) | |||||||
\(830\) | −9.70820 | − | 7.05342i | −0.336977 | − | 0.244828i | ||||
\(831\) | −1.61803 | − | 1.17557i | −0.0561290 | − | 0.0407801i | ||||
\(832\) | −9.88854 | + | 30.4338i | −0.342824 | + | 1.05510i | ||||
\(833\) | 1.85410 | + | 5.70634i | 0.0642408 | + | 0.197713i | ||||
\(834\) | −16.1803 | + | 11.7557i | −0.560279 | + | 0.407067i | ||||
\(835\) | −12.0000 | −0.415277 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 35.0000 | 1.20978 | ||||||||
\(838\) | 32.3607 | − | 23.5114i | 1.11788 | − | 0.812188i | ||||
\(839\) | −1.54508 | − | 4.75528i | −0.0533423 | − | 0.164171i | 0.920836 | − | 0.389949i | \(-0.127507\pi\) |
−0.974179 | + | 0.225779i | \(0.927507\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 23.4615 | + | 17.0458i | 0.809017 | + | 0.587785i | ||||
\(842\) | 35.5967 | + | 25.8626i | 1.22674 | + | 0.891282i | ||||
\(843\) | 5.56231 | − | 17.1190i | 0.191576 | − | 0.589610i | ||||
\(844\) | 7.41641 | + | 22.8254i | 0.255283 | + | 0.785681i | ||||
\(845\) | −2.42705 | + | 1.76336i | −0.0834931 | + | 0.0606613i | ||||
\(846\) | 32.0000 | 1.10018 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 24.0000 | 0.824163 | ||||||||
\(849\) | 3.23607 | − | 2.35114i | 0.111062 | − | 0.0806910i | ||||
\(850\) | −4.94427 | − | 15.2169i | −0.169587 | − | 0.521936i | ||||
\(851\) | −0.927051 | + | 2.85317i | −0.0317789 | + | 0.0978054i | ||||
\(852\) | −4.85410 | − | 3.52671i | −0.166299 | − | 0.120823i | ||||
\(853\) | −11.3262 | − | 8.22899i | −0.387803 | − | 0.281755i | 0.376752 | − | 0.926314i | \(-0.377041\pi\) |
−0.764555 | + | 0.644559i | \(0.777041\pi\) | |||||||
\(854\) | 14.8328 | − | 45.6507i | 0.507569 | − | 1.56214i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 8.00000 | 0.273275 | 0.136637 | − | 0.990621i | \(-0.456370\pi\) | ||||
0.136637 | + | 0.990621i | \(0.456370\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −15.0000 | −0.511793 | −0.255897 | − | 0.966704i | \(-0.582371\pi\) | ||||
−0.255897 | + | 0.966704i | \(0.582371\pi\) | |||||||
\(860\) | 9.70820 | − | 7.05342i | 0.331047 | − | 0.240520i | ||||
\(861\) | −4.94427 | − | 15.2169i | −0.168500 | − | 0.518591i | ||||
\(862\) | 11.1246 | − | 34.2380i | 0.378906 | − | 1.16615i | ||||
\(863\) | −19.4164 | − | 14.1068i | −0.660942 | − | 0.480203i | 0.206039 | − | 0.978544i | \(-0.433943\pi\) |
−0.866981 | + | 0.498341i | \(0.833943\pi\) | |||||||
\(864\) | −32.3607 | − | 23.5114i | −1.10093 | − | 0.799874i | ||||
\(865\) | −1.85410 | + | 5.70634i | −0.0630414 | + | 0.194021i | ||||
\(866\) | 6.79837 | + | 20.9232i | 0.231018 | + | 0.711001i | ||||
\(867\) | −10.5172 | + | 7.64121i | −0.357184 | + | 0.259509i | ||||
\(868\) | −28.0000 | −0.950382 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 22.6525 | − | 16.4580i | 0.767550 | − | 0.557658i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 4.32624 | − | 13.3148i | 0.146421 | − | 0.450637i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −14.5623 | − | 10.5801i | −0.492296 | − | 0.357674i | ||||
\(876\) | −2.47214 | + | 7.60845i | −0.0835257 | + | 0.257066i | ||||
\(877\) | −3.70820 | − | 11.4127i | −0.125217 | − | 0.385379i | 0.868723 | − | 0.495297i | \(-0.164941\pi\) |
−0.993941 | + | 0.109919i | \(0.964941\pi\) | |||||||
\(878\) | 64.7214 | − | 47.0228i | 2.18424 | − | 1.58694i | ||||
\(879\) | −24.0000 | −0.809500 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −43.0000 | −1.44871 | −0.724353 | − | 0.689429i | \(-0.757862\pi\) | ||||
−0.724353 | + | 0.689429i | \(0.757862\pi\) | |||||||
\(882\) | 9.70820 | − | 7.05342i | 0.326892 | − | 0.237501i | ||||
\(883\) | 1.23607 | + | 3.80423i | 0.0415970 | + | 0.128022i | 0.969698 | − | 0.244305i | \(-0.0785598\pi\) |
−0.928101 | + | 0.372327i | \(0.878560\pi\) | |||||||
\(884\) | −4.94427 | + | 15.2169i | −0.166294 | + | 0.511800i | ||||
\(885\) | 4.04508 | + | 2.93893i | 0.135974 | + | 0.0987909i | ||||
\(886\) | −17.7984 | − | 12.9313i | −0.597948 | − | 0.434435i | ||||
\(887\) | −6.79837 | + | 20.9232i | −0.228267 | + | 0.702534i | 0.769676 | + | 0.638434i | \(0.220418\pi\) |
−0.997944 | + | 0.0640996i | \(0.979582\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 12.9443 | − | 9.40456i | 0.434137 | − | 0.315419i | ||||
\(890\) | −30.0000 | −1.00560 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 38.0000 | 1.27233 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −6.18034 | − | 19.0211i | −0.206701 | − | 0.636162i | ||||
\(895\) | −4.63525 | + | 14.2658i | −0.154939 | + | 0.476855i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −3.23607 | − | 2.35114i | −0.108049 | − | 0.0785023i | ||||
\(898\) | −21.6312 | + | 66.5740i | −0.721842 | + | 2.22160i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −12.9443 | + | 9.40456i | −0.431476 | + | 0.313485i | ||||
\(901\) | 12.0000 | 0.399778 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −12.0000 | −0.399335 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 2.16312 | + | 6.65740i | 0.0719045 | + | 0.221299i | ||||
\(906\) | 1.23607 | − | 3.80423i | 0.0410656 | − | 0.126387i | ||||
\(907\) | 9.70820 | + | 7.05342i | 0.322356 | + | 0.234205i | 0.737180 | − | 0.675696i | \(-0.236157\pi\) |
−0.414824 | + | 0.909902i | \(0.636157\pi\) | |||||||
\(908\) | −29.1246 | − | 21.1603i | −0.966534 | − | 0.702228i | ||||
\(909\) | −1.23607 | + | 3.80423i | −0.0409978 | + | 0.126178i | ||||
\(910\) | 4.94427 | + | 15.2169i | 0.163901 | + | 0.504435i | ||||
\(911\) | −9.70820 | + | 7.05342i | −0.321647 | + | 0.233690i | −0.736878 | − | 0.676026i | \(-0.763701\pi\) |
0.415231 | + | 0.909716i | \(0.363701\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 24.0000 | 0.793849 | ||||||||
\(915\) | 9.70820 | − | 7.05342i | 0.320943 | − | 0.233179i | ||||
\(916\) | 9.27051 | + | 28.5317i | 0.306306 | + | 0.942714i | ||||
\(917\) | 11.1246 | − | 34.2380i | 0.367367 | − | 1.13064i | ||||
\(918\) | −16.1803 | − | 11.7557i | −0.534031 | − | 0.387996i | ||||
\(919\) | −8.09017 | − | 5.87785i | −0.266870 | − | 0.193892i | 0.446300 | − | 0.894883i | \(-0.352741\pi\) |
−0.713170 | + | 0.700991i | \(0.752741\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −2.47214 | − | 7.60845i | −0.0814596 | − | 0.250707i | ||||
\(922\) | 19.4164 | − | 14.1068i | 0.639445 | − | 0.464584i | ||||
\(923\) | −12.0000 | −0.394985 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −12.0000 | −0.394558 | ||||||||
\(926\) | −17.7984 | + | 12.9313i | −0.584891 | + | 0.424948i | ||||
\(927\) | 9.88854 | + | 30.4338i | 0.324782 | + | 0.999577i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 24.2705 | + | 17.6336i | 0.796290 | + | 0.578538i | 0.909823 | − | 0.414996i | \(-0.136217\pi\) |
−0.113534 | + | 0.993534i | \(0.536217\pi\) | |||||||
\(930\) | −11.3262 | − | 8.22899i | −0.371402 | − | 0.269839i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 14.8328 | + | 45.6507i | 0.485865 | + | 1.49534i | ||||
\(933\) | 9.70820 | − | 7.05342i | 0.317832 | − | 0.230919i | ||||
\(934\) | 54.0000 | 1.76693 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.47214 | + | 4.70228i | −0.211435 | + | 0.153617i | −0.688463 | − | 0.725272i | \(-0.741714\pi\) |
0.477027 | + | 0.878888i | \(0.341714\pi\) | |||||||
\(938\) | −8.65248 | − | 26.6296i | −0.282513 | − | 0.869487i | ||||
\(939\) | 0.309017 | − | 0.951057i | 0.0100844 | − | 0.0310366i | ||||
\(940\) | −12.9443 | − | 9.40456i | −0.422196 | − | 0.306743i | ||||
\(941\) | −33.9787 | − | 24.6870i | −1.10767 | − | 0.804773i | −0.125379 | − | 0.992109i | \(-0.540015\pi\) |
−0.982296 | + | 0.187336i | \(0.940015\pi\) | |||||||
\(942\) | −4.32624 | + | 13.3148i | −0.140956 | + | 0.433819i | ||||
\(943\) | 2.47214 | + | 7.60845i | 0.0805038 | + | 0.247765i | ||||
\(944\) | 16.1803 | − | 11.7557i | 0.526625 | − | 0.382616i | ||||
\(945\) | −10.0000 | −0.325300 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −27.0000 | −0.877382 | −0.438691 | − | 0.898638i | \(-0.644558\pi\) | ||||
−0.438691 | + | 0.898638i | \(0.644558\pi\) | |||||||
\(948\) | −16.1803 | + | 11.7557i | −0.525513 | + | 0.381808i | ||||
\(949\) | 4.94427 | + | 15.2169i | 0.160498 | + | 0.493962i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 10.5172 | + | 7.64121i | 0.341044 | + | 0.247783i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 10.5066 | − | 32.3359i | 0.340341 | − | 1.04746i | −0.623689 | − | 0.781672i | \(-0.714367\pi\) |
0.964031 | − | 0.265791i | \(-0.0856331\pi\) | |||||||
\(954\) | −7.41641 | − | 22.8254i | −0.240115 | − | 0.738998i | ||||
\(955\) | −13.7533 | + | 9.99235i | −0.445046 | + | 0.323345i | ||||
\(956\) | −60.0000 | −1.94054 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −40.0000 | −1.29234 | ||||||||
\(959\) | −11.3262 | + | 8.22899i | −0.365743 | + | 0.265728i | ||||
\(960\) | 2.47214 | + | 7.60845i | 0.0797878 | + | 0.245562i | ||||
\(961\) | 5.56231 | − | 17.1190i | 0.179429 | − | 0.552226i | ||||
\(962\) | 19.4164 | + | 14.1068i | 0.626010 | + | 0.454823i | ||||
\(963\) | 29.1246 | + | 21.1603i | 0.938527 | + | 0.681880i | ||||
\(964\) | −4.94427 | + | 15.2169i | −0.159244 | + | 0.490103i | ||||
\(965\) | 1.23607 | + | 3.80423i | 0.0397904 | + | 0.122462i | ||||
\(966\) | −3.23607 | + | 2.35114i | −0.104119 | + | 0.0756467i | ||||
\(967\) | −32.0000 | −1.02905 | −0.514525 | − | 0.857475i | \(-0.672032\pi\) | ||||
−0.514525 | + | 0.857475i | \(0.672032\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −11.3262 | + | 8.22899i | −0.363664 | + | 0.264217i | ||||
\(971\) | 14.5238 | + | 44.6997i | 0.466091 | + | 1.43448i | 0.857605 | + | 0.514308i | \(0.171951\pi\) |
−0.391514 | + | 0.920172i | \(0.628049\pi\) | |||||||
\(972\) | −9.88854 | + | 30.4338i | −0.317175 | + | 0.976165i | ||||
\(973\) | 16.1803 | + | 11.7557i | 0.518718 | + | 0.376871i | ||||
\(974\) | 37.2148 | + | 27.0381i | 1.19244 | + | 0.866357i | ||||
\(975\) | 4.94427 | − | 15.2169i | 0.158343 | − | 0.487331i | ||||
\(976\) | −14.8328 | − | 45.6507i | −0.474787 | − | 1.46124i | ||||
\(977\) | 21.8435 | − | 15.8702i | 0.698834 | − | 0.507733i | −0.180718 | − | 0.983535i | \(-0.557842\pi\) |
0.879552 | + | 0.475802i | \(0.157842\pi\) | |||||||
\(978\) | 8.00000 | 0.255812 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −6.00000 | −0.191663 | ||||||||
\(981\) | 16.1803 | − | 11.7557i | 0.516598 | − | 0.375331i | ||||
\(982\) | 4.94427 | + | 15.2169i | 0.157778 | + | 0.485591i | ||||
\(983\) | 12.0517 | − | 37.0912i | 0.384388 | − | 1.18303i | −0.552535 | − | 0.833490i | \(-0.686339\pi\) |
0.936923 | − | 0.349536i | \(-0.113661\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.61803 | + | 1.17557i | 0.0515548 | + | 0.0374568i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 4.94427 | + | 15.2169i | 0.157378 | + | 0.484359i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 6.00000 | 0.190789 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −8.00000 | −0.254128 | −0.127064 | − | 0.991894i | \(-0.540555\pi\) | ||||
−0.127064 | + | 0.991894i | \(0.540555\pi\) | |||||||
\(992\) | −45.3050 | + | 32.9160i | −1.43843 | + | 1.04508i | ||||
\(993\) | −2.16312 | − | 6.65740i | −0.0686445 | − | 0.211266i | ||||
\(994\) | −3.70820 | + | 11.4127i | −0.117617 | + | 0.361988i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −9.70820 | − | 7.05342i | −0.307616 | − | 0.223496i | ||||
\(997\) | 11.7426 | − | 36.1401i | 0.371893 | − | 1.14457i | −0.573657 | − | 0.819095i | \(-0.694476\pi\) |
0.945551 | − | 0.325475i | \(-0.105524\pi\) | |||||||
\(998\) | −12.3607 | − | 38.0423i | −0.391270 | − | 1.20421i | ||||
\(999\) | −12.1353 | + | 8.81678i | −0.383942 | + | 0.278951i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))