Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(803,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.803");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.t (of order \(6\), degree \(2\), 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: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 6x^{14} + 9x^{12} + 54x^{10} - 288x^{8} + 486x^{6} + 729x^{4} - 4374x^{2} + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2}\cdot 3^{2} \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 815.6 | ||
Root | \(1.62181 + 0.608059i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.815 |
Dual form | 882.2.t.b.803.6 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | + | 0.500000i | 0.612372 | + | 0.353553i | ||||
\(3\) | −0.284310 | + | 1.70856i | −0.164147 | + | 0.986436i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 3.89111 | 1.74016 | 0.870080 | − | 0.492911i | \(-0.164067\pi\) | ||||
0.870080 | + | 0.492911i | \(0.164067\pi\) | |||||||
\(6\) | −1.10050 | + | 1.33750i | −0.449277 | + | 0.546032i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −2.83834 | − | 0.971521i | −0.946112 | − | 0.323840i | ||||
\(10\) | 3.36980 | + | 1.94556i | 1.06563 | + | 0.615239i | ||||
\(11\) | 3.94462i | 1.18935i | 0.803967 | + | 0.594674i | \(0.202719\pi\) | ||||
−0.803967 | + | 0.594674i | \(0.797281\pi\) | |||||||
\(12\) | −1.62181 | + | 0.608059i | −0.468176 | + | 0.175531i | ||||
\(13\) | −2.46687 | − | 1.42425i | −0.684186 | − | 0.395015i | 0.117244 | − | 0.993103i | \(-0.462594\pi\) |
−0.801430 | + | 0.598088i | \(0.795927\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.10628 | + | 6.64819i | −0.285641 | + | 1.71656i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 0.371058 | − | 0.642692i | 0.0899949 | − | 0.155876i | −0.817514 | − | 0.575909i | \(-0.804648\pi\) |
0.907509 | + | 0.420033i | \(0.137982\pi\) | |||||||
\(18\) | −1.97231 | − | 2.26053i | −0.464878 | − | 0.532812i | ||||
\(19\) | 1.54563 | − | 0.892369i | 0.354591 | − | 0.204723i | −0.312114 | − | 0.950045i | \(-0.601037\pi\) |
0.666706 | + | 0.745321i | \(0.267704\pi\) | |||||||
\(20\) | 1.94556 | + | 3.36980i | 0.435040 | + | 0.753511i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.97231 | + | 3.41614i | −0.420498 | + | 0.728324i | ||||
\(23\) | 6.25311i | 1.30386i | 0.758278 | + | 0.651932i | \(0.226041\pi\) | ||||
−0.758278 | + | 0.651932i | \(0.773959\pi\) | |||||||
\(24\) | −1.70856 | − | 0.284310i | −0.348758 | − | 0.0580346i | ||||
\(25\) | 10.1408 | 2.02815 | ||||||||
\(26\) | −1.42425 | − | 2.46687i | −0.279318 | − | 0.483793i | ||||
\(27\) | 2.46687 | − | 4.57324i | 0.474749 | − | 0.880121i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.50079 | + | 1.44383i | −0.464385 | + | 0.268113i | −0.713886 | − | 0.700262i | \(-0.753067\pi\) |
0.249501 | + | 0.968374i | \(0.419733\pi\) | |||||||
\(30\) | −4.28217 | + | 5.20436i | −0.781813 | + | 0.950182i | ||||
\(31\) | 3.04125 | − | 1.75587i | 0.546225 | − | 0.315363i | −0.201373 | − | 0.979515i | \(-0.564540\pi\) |
0.747598 | + | 0.664152i | \(0.231207\pi\) | |||||||
\(32\) | −0.866025 | + | 0.500000i | −0.153093 | + | 0.0883883i | ||||
\(33\) | −6.73961 | − | 1.12150i | −1.17322 | − | 0.195227i | ||||
\(34\) | 0.642692 | − | 0.371058i | 0.110221 | − | 0.0636360i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.577806 | − | 2.94383i | −0.0963009 | − | 0.490638i | ||||
\(37\) | −1.50079 | − | 2.59944i | −0.246728 | − | 0.427346i | 0.715888 | − | 0.698215i | \(-0.246022\pi\) |
−0.962616 | + | 0.270870i | \(0.912689\pi\) | |||||||
\(38\) | 1.78474 | 0.289523 | ||||||||
\(39\) | 3.13476 | − | 3.80986i | 0.501964 | − | 0.610065i | ||||
\(40\) | 3.89111i | 0.615239i | ||||||||
\(41\) | 5.24705 | − | 9.08816i | 0.819452 | − | 1.41933i | −0.0866345 | − | 0.996240i | \(-0.527611\pi\) |
0.906087 | − | 0.423092i | \(-0.139055\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.471521 | + | 0.816699i | 0.0719063 | + | 0.124545i | 0.899737 | − | 0.436433i | \(-0.143758\pi\) |
−0.827830 | + | 0.560978i | \(0.810425\pi\) | |||||||
\(44\) | −3.41614 | + | 1.97231i | −0.515003 | + | 0.297337i | ||||
\(45\) | −11.0443 | − | 3.78030i | −1.64639 | − | 0.563534i | ||||
\(46\) | −3.12656 | + | 5.41535i | −0.460985 | + | 0.798450i | ||||
\(47\) | −1.09263 | + | 1.89248i | −0.159376 | + | 0.276047i | −0.934644 | − | 0.355585i | \(-0.884282\pi\) |
0.775268 | + | 0.631633i | \(0.217615\pi\) | |||||||
\(48\) | −1.33750 | − | 1.10050i | −0.193051 | − | 0.158843i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 8.78217 | + | 5.07039i | 1.24199 | + | 0.717061i | ||||
\(51\) | 0.992580 | + | 0.816699i | 0.138989 | + | 0.114361i | ||||
\(52\) | − | 2.84849i | − | 0.395015i | ||||||
\(53\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(54\) | 4.42299 | − | 2.72711i | 0.601893 | − | 0.371113i | ||||
\(55\) | 15.3490i | 2.06965i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.08523 | + | 2.89450i | 0.143742 | + | 0.383386i | ||||
\(58\) | −2.88766 | −0.379169 | ||||||||
\(59\) | −0.0105673 | − | 0.0183031i | −0.00137575 | − | 0.00238286i | 0.865337 | − | 0.501191i | \(-0.167105\pi\) |
−0.866712 | + | 0.498808i | \(0.833771\pi\) | |||||||
\(60\) | −6.31064 | + | 2.36603i | −0.814701 | + | 0.305453i | ||||
\(61\) | −2.13832 | − | 1.23456i | −0.273783 | − | 0.158069i | 0.356822 | − | 0.934172i | \(-0.383860\pi\) |
−0.630606 | + | 0.776103i | \(0.717193\pi\) | |||||||
\(62\) | 3.51174 | 0.445991 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −9.59886 | − | 5.54191i | −1.19059 | − | 0.687389i | ||||
\(66\) | −5.27592 | − | 4.34105i | −0.649421 | − | 0.534346i | ||||
\(67\) | −6.72463 | − | 11.6474i | −0.821544 | − | 1.42296i | −0.904532 | − | 0.426406i | \(-0.859779\pi\) |
0.0829874 | − | 0.996551i | \(-0.473554\pi\) | |||||||
\(68\) | 0.742117 | 0.0899949 | ||||||||
\(69\) | −10.6838 | − | 1.77782i | −1.28618 | − | 0.214025i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 1.94304i | − | 0.230597i | −0.993331 | − | 0.115298i | \(-0.963218\pi\) | ||
0.993331 | − | 0.115298i | \(-0.0367824\pi\) | |||||||
\(72\) | 0.971521 | − | 2.83834i | 0.114495 | − | 0.334501i | ||||
\(73\) | 4.20443 | + | 2.42743i | 0.492092 | + | 0.284109i | 0.725442 | − | 0.688284i | \(-0.241636\pi\) |
−0.233350 | + | 0.972393i | \(0.574969\pi\) | |||||||
\(74\) | − | 3.00158i | − | 0.348926i | ||||||
\(75\) | −2.88313 | + | 17.3261i | −0.332915 | + | 2.00064i | ||||
\(76\) | 1.54563 | + | 0.892369i | 0.177296 | + | 0.102362i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 4.61971 | − | 1.73205i | 0.523079 | − | 0.196116i | ||||
\(79\) | −1.81806 | + | 3.14898i | −0.204548 | + | 0.354288i | −0.949989 | − | 0.312284i | \(-0.898906\pi\) |
0.745440 | + | 0.666572i | \(0.232239\pi\) | |||||||
\(80\) | −1.94556 | + | 3.36980i | −0.217520 | + | 0.376756i | ||||
\(81\) | 7.11229 | + | 5.51501i | 0.790255 | + | 0.612778i | ||||
\(82\) | 9.08816 | − | 5.24705i | 1.00362 | − | 0.579440i | ||||
\(83\) | 4.02998 | + | 6.98012i | 0.442347 | + | 0.766168i | 0.997863 | − | 0.0653378i | \(-0.0208125\pi\) |
−0.555516 | + | 0.831506i | \(0.687479\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.44383 | − | 2.50079i | 0.156605 | − | 0.271249i | ||||
\(86\) | 0.943042i | 0.101691i | ||||||||
\(87\) | −1.75587 | − | 4.68324i | −0.188249 | − | 0.502096i | ||||
\(88\) | −3.94462 | −0.420498 | ||||||||
\(89\) | −4.63323 | − | 8.02499i | −0.491122 | − | 0.850647i | 0.508826 | − | 0.860869i | \(-0.330080\pi\) |
−0.999948 | + | 0.0102218i | \(0.996746\pi\) | |||||||
\(90\) | −7.67448 | − | 8.79598i | −0.808962 | − | 0.927178i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −5.41535 | + | 3.12656i | −0.564589 | + | 0.325966i | ||||
\(93\) | 2.13534 | + | 5.69536i | 0.221424 | + | 0.590582i | ||||
\(94\) | −1.89248 | + | 1.09263i | −0.195195 | + | 0.112696i | ||||
\(95\) | 6.01422 | − | 3.47231i | 0.617046 | − | 0.356251i | ||||
\(96\) | −0.608059 | − | 1.62181i | −0.0620597 | − | 0.165525i | ||||
\(97\) | −16.2983 | + | 9.40980i | −1.65484 | + | 0.955421i | −0.679794 | + | 0.733403i | \(0.737931\pi\) |
−0.975043 | + | 0.222018i | \(0.928736\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.83228 | − | 11.1962i | 0.385159 | − | 1.12526i | ||||
\(100\) | 5.07039 | + | 8.78217i | 0.507039 | + | 0.878217i | ||||
\(101\) | 8.28158 | 0.824048 | 0.412024 | − | 0.911173i | \(-0.364822\pi\) | ||||
0.412024 | + | 0.911173i | \(0.364822\pi\) | |||||||
\(102\) | 0.451251 | + | 1.20357i | 0.0446805 | + | 0.119171i | ||||
\(103\) | − | 17.0487i | − | 1.67986i | −0.542697 | − | 0.839929i | \(-0.682597\pi\) | ||
0.542697 | − | 0.839929i | \(-0.317403\pi\) | |||||||
\(104\) | 1.42425 | − | 2.46687i | 0.139659 | − | 0.241896i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 12.4161 | − | 7.16846i | 1.20031 | − | 0.693001i | 0.239689 | − | 0.970850i | \(-0.422955\pi\) |
0.960625 | + | 0.277848i | \(0.0896213\pi\) | |||||||
\(108\) | 5.19398 | − | 0.150252i | 0.499791 | − | 0.0144580i | ||||
\(109\) | −5.63998 | + | 9.76874i | −0.540212 | + | 0.935675i | 0.458679 | + | 0.888602i | \(0.348323\pi\) |
−0.998891 | + | 0.0470733i | \(0.985011\pi\) | |||||||
\(110\) | −7.67448 | + | 13.2926i | −0.731733 | + | 1.26740i | ||||
\(111\) | 4.86799 | − | 1.82513i | 0.462049 | − | 0.173234i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −8.51501 | − | 4.91614i | −0.801024 | − | 0.462472i | 0.0428049 | − | 0.999083i | \(-0.486371\pi\) |
−0.843829 | + | 0.536612i | \(0.819704\pi\) | |||||||
\(114\) | −0.507420 | + | 3.04933i | −0.0475242 | + | 0.285596i | ||||
\(115\) | 24.3316i | 2.26893i | ||||||||
\(116\) | −2.50079 | − | 1.44383i | −0.232192 | − | 0.134056i | ||||
\(117\) | 5.61811 | + | 6.43910i | 0.519395 | + | 0.595295i | ||||
\(118\) | − | 0.0211346i | − | 0.00194560i | ||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −6.64819 | − | 1.10628i | −0.606894 | − | 0.100989i | ||||
\(121\) | −4.56002 | −0.414548 | ||||||||
\(122\) | −1.23456 | − | 2.13832i | −0.111772 | − | 0.193594i | ||||
\(123\) | 14.0359 | + | 11.5487i | 1.26557 | + | 1.04132i | ||||
\(124\) | 3.04125 | + | 1.75587i | 0.273112 | + | 0.157682i | ||||
\(125\) | 20.0033 | 1.78915 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.94462 | 0.261293 | 0.130646 | − | 0.991429i | \(-0.458295\pi\) | ||||
0.130646 | + | 0.991429i | \(0.458295\pi\) | |||||||
\(128\) | −0.866025 | − | 0.500000i | −0.0765466 | − | 0.0441942i | ||||
\(129\) | −1.52943 | + | 0.573425i | −0.134659 | + | 0.0504873i | ||||
\(130\) | −5.54191 | − | 9.59886i | −0.486057 | − | 0.841876i | ||||
\(131\) | 15.0651 | 1.31624 | 0.658122 | − | 0.752911i | \(-0.271351\pi\) | ||||
0.658122 | + | 0.752911i | \(0.271351\pi\) | |||||||
\(132\) | −2.39856 | − | 6.39742i | −0.208768 | − | 0.556824i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 13.4493i | − | 1.16184i | ||||||
\(135\) | 9.59886 | − | 17.7950i | 0.826139 | − | 1.53155i | ||||
\(136\) | 0.642692 | + | 0.371058i | 0.0551104 | + | 0.0318180i | ||||
\(137\) | − | 15.7199i | − | 1.34305i | −0.740984 | − | 0.671523i | \(-0.765641\pi\) | ||
0.740984 | − | 0.671523i | \(-0.234359\pi\) | |||||||
\(138\) | −8.36353 | − | 6.88154i | −0.711951 | − | 0.585796i | ||||
\(139\) | −2.86373 | − | 1.65337i | −0.242898 | − | 0.140237i | 0.373610 | − | 0.927586i | \(-0.378120\pi\) |
−0.616508 | + | 0.787349i | \(0.711453\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.92277 | − | 2.40487i | −0.246142 | − | 0.202526i | ||||
\(142\) | 0.971521 | − | 1.68272i | 0.0815282 | − | 0.141211i | ||||
\(143\) | 5.61811 | − | 9.73085i | 0.469810 | − | 0.813735i | ||||
\(144\) | 2.26053 | − | 1.97231i | 0.188377 | − | 0.164359i | ||||
\(145\) | −9.73085 | + | 5.61811i | −0.808103 | + | 0.466559i | ||||
\(146\) | 2.42743 | + | 4.20443i | 0.200896 | + | 0.347961i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.50079 | − | 2.59944i | 0.123364 | − | 0.213673i | ||||
\(149\) | − | 11.0016i | − | 0.901284i | −0.892705 | − | 0.450642i | \(-0.851195\pi\) | ||
0.892705 | − | 0.450642i | \(-0.148805\pi\) | |||||||
\(150\) | −11.1599 | + | 13.5633i | −0.911202 | + | 1.10744i | ||||
\(151\) | −1.43998 | −0.117184 | −0.0585918 | − | 0.998282i | \(-0.518661\pi\) | ||||
−0.0585918 | + | 0.998282i | \(0.518661\pi\) | |||||||
\(152\) | 0.892369 | + | 1.54563i | 0.0723807 | + | 0.125367i | ||||
\(153\) | −1.67758 | + | 1.46368i | −0.135624 | + | 0.118332i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 11.8339 | − | 6.83228i | 0.950518 | − | 0.548782i | ||||
\(156\) | 4.86681 | + | 0.809856i | 0.389657 | + | 0.0648404i | ||||
\(157\) | 14.3822 | − | 8.30354i | 1.14782 | − | 0.662695i | 0.199465 | − | 0.979905i | \(-0.436079\pi\) |
0.948355 | + | 0.317210i | \(0.102746\pi\) | |||||||
\(158\) | −3.14898 | + | 1.81806i | −0.250519 | + | 0.144637i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.36980 | + | 1.94556i | −0.266406 | + | 0.153810i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 3.40192 | + | 8.33228i | 0.267280 | + | 0.654646i | ||||
\(163\) | 6.19773 | + | 10.7348i | 0.485444 | + | 0.840813i | 0.999860 | − | 0.0167274i | \(-0.00532476\pi\) |
−0.514416 | + | 0.857541i | \(0.671991\pi\) | |||||||
\(164\) | 10.4941 | 0.819452 | ||||||||
\(165\) | −26.2246 | − | 4.36387i | −2.04158 | − | 0.339727i | ||||
\(166\) | 8.05995i | 0.625574i | ||||||||
\(167\) | 5.86087 | − | 10.1513i | 0.453528 | − | 0.785534i | −0.545074 | − | 0.838388i | \(-0.683498\pi\) |
0.998602 | + | 0.0528541i | \(0.0168318\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.44304 | − | 4.23147i | −0.187926 | − | 0.325498i | ||||
\(170\) | 2.50079 | − | 1.44383i | 0.191802 | − | 0.110737i | ||||
\(171\) | −5.25397 | + | 1.03123i | −0.401781 | + | 0.0788602i | ||||
\(172\) | −0.471521 | + | 0.816699i | −0.0359532 | + | 0.0622727i | ||||
\(173\) | 8.38548 | − | 14.5241i | 0.637536 | − | 1.10425i | −0.348435 | − | 0.937333i | \(-0.613287\pi\) |
0.985972 | − | 0.166913i | \(-0.0533798\pi\) | |||||||
\(174\) | 0.820992 | − | 4.93374i | 0.0622393 | − | 0.374026i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −3.41614 | − | 1.97231i | −0.257501 | − | 0.148668i | ||||
\(177\) | 0.0342763 | − | 0.0128511i | 0.00257636 | − | 0.000965946i | ||||
\(178\) | − | 9.26646i | − | 0.694551i | ||||||
\(179\) | 5.00158 | + | 2.88766i | 0.373835 | + | 0.215834i | 0.675133 | − | 0.737696i | \(-0.264086\pi\) |
−0.301297 | + | 0.953530i | \(0.597420\pi\) | |||||||
\(180\) | −2.24831 | − | 11.4548i | −0.167579 | − | 0.853789i | ||||
\(181\) | − | 5.53310i | − | 0.411272i | −0.978629 | − | 0.205636i | \(-0.934074\pi\) | ||
0.978629 | − | 0.205636i | \(-0.0659263\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.71726 | − | 3.30244i | 0.200865 | − | 0.244123i | ||||
\(184\) | −6.25311 | −0.460985 | ||||||||
\(185\) | −5.83974 | − | 10.1147i | −0.429346 | − | 0.743649i | ||||
\(186\) | −0.998423 | + | 6.00000i | −0.0732079 | + | 0.439941i | ||||
\(187\) | 2.53518 | + | 1.46368i | 0.185390 | + | 0.107035i | ||||
\(188\) | −2.18525 | −0.159376 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.94462 | 0.503816 | ||||||||
\(191\) | 5.38124 | + | 3.10686i | 0.389373 | + | 0.224805i | 0.681888 | − | 0.731456i | \(-0.261159\pi\) |
−0.292515 | + | 0.956261i | \(0.594492\pi\) | |||||||
\(192\) | 0.284310 | − | 1.70856i | 0.0205183 | − | 0.123304i | ||||
\(193\) | 3.90271 | + | 6.75970i | 0.280923 | + | 0.486574i | 0.971612 | − | 0.236578i | \(-0.0760260\pi\) |
−0.690689 | + | 0.723152i | \(0.742693\pi\) | |||||||
\(194\) | −18.8196 | −1.35117 | ||||||||
\(195\) | 12.1977 | − | 14.8246i | 0.873497 | − | 1.06161i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 12.7737i | 0.910092i | 0.890468 | + | 0.455046i | \(0.150377\pi\) | ||||
−0.890468 | + | 0.455046i | \(0.849623\pi\) | |||||||
\(198\) | 8.91693 | − | 7.78001i | 0.633699 | − | 0.552901i | ||||
\(199\) | 1.56925 | + | 0.906005i | 0.111241 | + | 0.0642250i | 0.554588 | − | 0.832125i | \(-0.312876\pi\) |
−0.443347 | + | 0.896350i | \(0.646209\pi\) | |||||||
\(200\) | 10.1408i | 0.717061i | ||||||||
\(201\) | 21.8121 | − | 8.17794i | 1.53851 | − | 0.576827i | ||||
\(202\) | 7.17206 | + | 4.14079i | 0.504624 | + | 0.291345i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.210992 | + | 1.26795i | −0.0147724 | + | 0.0887742i | ||||
\(205\) | 20.4169 | − | 35.3631i | 1.42598 | − | 2.46986i | ||||
\(206\) | 8.52435 | − | 14.7646i | 0.593919 | − | 1.02870i | ||||
\(207\) | 6.07503 | − | 17.7484i | 0.422244 | − | 1.23360i | ||||
\(208\) | 2.46687 | − | 1.42425i | 0.171047 | − | 0.0987537i | ||||
\(209\) | 3.52006 | + | 6.09692i | 0.243487 | + | 0.421732i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.88766 | + | 3.26953i | −0.129952 | + | 0.225083i | −0.923658 | − | 0.383218i | \(-0.874816\pi\) |
0.793706 | + | 0.608302i | \(0.208149\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.31980 | + | 0.552427i | 0.227469 | + | 0.0378517i | ||||
\(214\) | 14.3369 | 0.980052 | ||||||||
\(215\) | 1.83474 | + | 3.17787i | 0.125128 | + | 0.216729i | ||||
\(216\) | 4.57324 | + | 2.46687i | 0.311170 | + | 0.167849i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −9.76874 | + | 5.63998i | −0.661622 | + | 0.381988i | ||||
\(219\) | −5.34277 | + | 6.49337i | −0.361031 | + | 0.438781i | ||||
\(220\) | −13.2926 | + | 7.67448i | −0.896187 | + | 0.517414i | ||||
\(221\) | −1.83070 | + | 1.05696i | −0.123146 | + | 0.0710987i | ||||
\(222\) | 5.12837 | + | 0.853380i | 0.344193 | + | 0.0572751i | ||||
\(223\) | −11.0662 | + | 6.38910i | −0.741051 | + | 0.427846i | −0.822451 | − | 0.568836i | \(-0.807394\pi\) |
0.0814006 | + | 0.996681i | \(0.474061\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −28.7829 | − | 9.85197i | −1.91886 | − | 0.656798i | ||||
\(226\) | −4.91614 | − | 8.51501i | −0.327017 | − | 0.566410i | ||||
\(227\) | −19.9822 | −1.32627 | −0.663133 | − | 0.748502i | \(-0.730773\pi\) | ||||
−0.663133 | + | 0.748502i | \(0.730773\pi\) | |||||||
\(228\) | −1.96410 | + | 2.38708i | −0.130076 | + | 0.158089i | ||||
\(229\) | 10.1314i | 0.669500i | 0.942307 | + | 0.334750i | \(0.108652\pi\) | ||||
−0.942307 | + | 0.334750i | \(0.891348\pi\) | |||||||
\(230\) | −12.1658 | + | 21.0718i | −0.802188 | + | 1.38943i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.44383 | − | 2.50079i | −0.0947921 | − | 0.164185i | ||||
\(233\) | 6.33070 | − | 3.65503i | 0.414738 | − | 0.239449i | −0.278085 | − | 0.960556i | \(-0.589700\pi\) |
0.692824 | + | 0.721107i | \(0.256366\pi\) | |||||||
\(234\) | 1.64588 | + | 8.38548i | 0.107594 | + | 0.548176i | ||||
\(235\) | −4.25153 | + | 7.36387i | −0.277339 | + | 0.480366i | ||||
\(236\) | 0.0105673 | − | 0.0183031i | 0.000687873 | − | 0.00119143i | ||||
\(237\) | −4.86332 | − | 4.00156i | −0.315906 | − | 0.259929i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 7.28317 | + | 4.20494i | 0.471109 | + | 0.271995i | 0.716704 | − | 0.697378i | \(-0.245650\pi\) |
−0.245595 | + | 0.969373i | \(0.578983\pi\) | |||||||
\(240\) | −5.20436 | − | 4.28217i | −0.335940 | − | 0.276413i | ||||
\(241\) | 8.95213i | 0.576657i | 0.957531 | + | 0.288329i | \(0.0930996\pi\) | ||||
−0.957531 | + | 0.288329i | \(0.906900\pi\) | |||||||
\(242\) | −3.94910 | − | 2.28001i | −0.253858 | − | 0.146565i | ||||
\(243\) | −11.4448 | + | 10.5838i | −0.734184 | + | 0.678950i | ||||
\(244\) | − | 2.46911i | − | 0.158069i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 6.38103 | + | 17.0194i | 0.406840 | + | 1.08512i | ||||
\(247\) | −5.08381 | −0.323475 | ||||||||
\(248\) | 1.75587 | + | 3.04125i | 0.111498 | + | 0.193120i | ||||
\(249\) | −13.0717 | + | 4.90092i | −0.828386 | + | 0.310583i | ||||
\(250\) | 17.3234 | + | 10.0017i | 1.09563 | + | 0.632561i | ||||
\(251\) | −12.6432 | −0.798033 | −0.399017 | − | 0.916944i | \(-0.630648\pi\) | ||||
−0.399017 | + | 0.916944i | \(0.630648\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −24.6661 | −1.55075 | ||||||||
\(254\) | 2.55012 | + | 1.47231i | 0.160008 | + | 0.0923809i | ||||
\(255\) | 3.86224 | + | 3.17787i | 0.241863 | + | 0.199006i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −16.3066 | −1.01718 | −0.508588 | − | 0.861010i | \(-0.669832\pi\) | ||||
−0.508588 | + | 0.861010i | \(0.669832\pi\) | |||||||
\(258\) | −1.61124 | − | 0.268117i | −0.100312 | − | 0.0166922i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | − | 11.0838i | − | 0.687389i | ||||||
\(261\) | 8.50079 | − | 1.66851i | 0.526186 | − | 0.103278i | ||||
\(262\) | 13.0468 | + | 7.53255i | 0.806032 | + | 0.465363i | ||||
\(263\) | 23.7215i | 1.46273i | 0.681985 | + | 0.731366i | \(0.261117\pi\) | ||||
−0.681985 | + | 0.731366i | \(0.738883\pi\) | |||||||
\(264\) | 1.12150 | − | 6.73961i | 0.0690233 | − | 0.414794i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 15.0284 | − | 5.63455i | 0.919725 | − | 0.344829i | ||||
\(268\) | 6.72463 | − | 11.6474i | 0.410772 | − | 0.711478i | ||||
\(269\) | 3.64144 | − | 6.30716i | 0.222022 | − | 0.384554i | −0.733400 | − | 0.679798i | \(-0.762068\pi\) |
0.955422 | + | 0.295244i | \(0.0954009\pi\) | |||||||
\(270\) | 17.2104 | − | 10.6115i | 1.04739 | − | 0.645796i | ||||
\(271\) | −19.6483 | + | 11.3440i | −1.19355 | + | 0.689097i | −0.959110 | − | 0.283033i | \(-0.908659\pi\) |
−0.234441 | + | 0.972130i | \(0.575326\pi\) | |||||||
\(272\) | 0.371058 | + | 0.642692i | 0.0224987 | + | 0.0389689i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 7.85997 | − | 13.6139i | 0.474838 | − | 0.822444i | ||||
\(275\) | 40.0015i | 2.41218i | ||||||||
\(276\) | −3.80226 | − | 10.1414i | −0.228869 | − | 0.610438i | ||||
\(277\) | 24.1676 | 1.45209 | 0.726046 | − | 0.687646i | \(-0.241356\pi\) | ||||
0.726046 | + | 0.687646i | \(0.241356\pi\) | |||||||
\(278\) | −1.65337 | − | 2.86373i | −0.0991628 | − | 0.171755i | ||||
\(279\) | −10.3380 | + | 2.02910i | −0.618917 | + | 0.121479i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −4.11229 | + | 2.37423i | −0.245319 | + | 0.141635i | −0.617619 | − | 0.786478i | \(-0.711903\pi\) |
0.372300 | + | 0.928112i | \(0.378569\pi\) | |||||||
\(282\) | −1.32876 | − | 3.54406i | −0.0791266 | − | 0.211046i | ||||
\(283\) | −25.4484 | + | 14.6926i | −1.51275 | + | 0.873387i | −0.512861 | + | 0.858471i | \(0.671415\pi\) |
−0.999889 | + | 0.0149153i | \(0.995252\pi\) | |||||||
\(284\) | 1.68272 | − | 0.971521i | 0.0998513 | − | 0.0576492i | ||||
\(285\) | 4.22274 | + | 11.2628i | 0.250133 | + | 0.667153i | ||||
\(286\) | 9.73085 | − | 5.61811i | 0.575398 | − | 0.332206i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 2.94383 | − | 0.577806i | 0.173467 | − | 0.0340475i | ||||
\(289\) | 8.22463 | + | 14.2455i | 0.483802 | + | 0.837969i | ||||
\(290\) | −11.2362 | −0.659814 | ||||||||
\(291\) | −11.4434 | − | 30.5218i | −0.670825 | − | 1.78922i | ||||
\(292\) | 4.85486i | 0.284109i | ||||||||
\(293\) | −3.31206 | + | 5.73666i | −0.193493 | + | 0.335139i | −0.946405 | − | 0.322981i | \(-0.895315\pi\) |
0.752913 | + | 0.658121i | \(0.228648\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.0411186 | − | 0.0712195i | −0.00239402 | − | 0.00414656i | ||||
\(296\) | 2.59944 | − | 1.50079i | 0.151090 | − | 0.0872316i | ||||
\(297\) | 18.0397 | + | 9.73085i | 1.04677 | + | 0.564641i | ||||
\(298\) | 5.50079 | − | 9.52765i | 0.318652 | − | 0.551922i | ||||
\(299\) | 8.90597 | − | 15.4256i | 0.515046 | − | 0.892085i | ||||
\(300\) | −16.4464 | + | 6.16618i | −0.949533 | + | 0.356005i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −1.24706 | − | 0.719988i | −0.0717600 | − | 0.0414307i | ||||
\(303\) | −2.35454 | + | 14.1496i | −0.135265 | + | 0.812871i | ||||
\(304\) | 1.78474i | 0.102362i | ||||||||
\(305\) | −8.32043 | − | 4.80380i | −0.476426 | − | 0.275065i | ||||
\(306\) | −2.18467 | + | 0.428799i | −0.124889 | + | 0.0245128i | ||||
\(307\) | 21.7242i | 1.23987i | 0.784655 | + | 0.619933i | \(0.212840\pi\) | ||||
−0.784655 | + | 0.619933i | \(0.787160\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 29.1287 | + | 4.84712i | 1.65707 | + | 0.275743i | ||||
\(310\) | 13.6646 | 0.776095 | ||||||||
\(311\) | −3.14900 | − | 5.45422i | −0.178563 | − | 0.309281i | 0.762825 | − | 0.646605i | \(-0.223812\pi\) |
−0.941389 | + | 0.337324i | \(0.890478\pi\) | |||||||
\(312\) | 3.80986 | + | 3.13476i | 0.215691 | + | 0.177471i | ||||
\(313\) | −19.2423 | − | 11.1095i | −1.08764 | − | 0.627948i | −0.154691 | − | 0.987963i | \(-0.549438\pi\) |
−0.932946 | + | 0.360015i | \(0.882771\pi\) | |||||||
\(314\) | 16.6071 | 0.937192 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.63613 | −0.204548 | ||||||||
\(317\) | −13.5632 | − | 7.83070i | −0.761784 | − | 0.439816i | 0.0681519 | − | 0.997675i | \(-0.478290\pi\) |
−0.829936 | + | 0.557859i | \(0.811623\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.69536 | − | 9.86466i | −0.318879 | − | 0.552315i | ||||
\(320\) | −3.89111 | −0.217520 | ||||||||
\(321\) | 8.71769 | + | 23.2518i | 0.486574 | + | 1.29779i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 1.32448i | − | 0.0736963i | ||||||
\(324\) | −1.21999 | + | 8.91693i | −0.0677771 | + | 0.495385i | ||||
\(325\) | −25.0159 | − | 14.4430i | −1.38763 | − | 0.801151i | ||||
\(326\) | 12.3955i | 0.686521i | ||||||||
\(327\) | −15.0869 | − | 12.4136i | −0.834310 | − | 0.686473i | ||||
\(328\) | 9.08816 | + | 5.24705i | 0.501810 | + | 0.289720i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −20.5292 | − | 16.8915i | −1.13010 | − | 0.929847i | ||||
\(331\) | −0.636129 | + | 1.10181i | −0.0349648 | + | 0.0605608i | −0.882978 | − | 0.469414i | \(-0.844465\pi\) |
0.848013 | + | 0.529975i | \(0.177799\pi\) | |||||||
\(332\) | −4.02998 | + | 6.98012i | −0.221174 | + | 0.383084i | ||||
\(333\) | 1.73433 | + | 8.83614i | 0.0950406 | + | 0.484217i | ||||
\(334\) | 10.1513 | − | 5.86087i | 0.555456 | − | 0.320693i | ||||
\(335\) | −26.1663 | − | 45.3214i | −1.42962 | − | 2.47617i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.78001 | + | 6.54717i | −0.205910 | + | 0.356647i | −0.950422 | − | 0.310962i | \(-0.899349\pi\) |
0.744512 | + | 0.667609i | \(0.232682\pi\) | |||||||
\(338\) | − | 4.88608i | − | 0.265768i | ||||||
\(339\) | 10.8204 | − | 13.1507i | 0.587684 | − | 0.714246i | ||||
\(340\) | 2.88766 | 0.156605 | ||||||||
\(341\) | 6.92623 | + | 11.9966i | 0.375076 | + | 0.649651i | ||||
\(342\) | −5.06568 | − | 1.73391i | −0.273921 | − | 0.0937592i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.816699 | + | 0.471521i | −0.0440334 | + | 0.0254227i | ||||
\(345\) | −41.5719 | − | 6.91772i | −2.23815 | − | 0.372437i | ||||
\(346\) | 14.5241 | − | 8.38548i | 0.780820 | − | 0.450806i | ||||
\(347\) | −19.1470 | + | 11.0545i | −1.02787 | + | 0.593439i | −0.916373 | − | 0.400326i | \(-0.868897\pi\) |
−0.111494 | + | 0.993765i | \(0.535564\pi\) | |||||||
\(348\) | 3.17787 | − | 3.86224i | 0.170352 | − | 0.207038i | ||||
\(349\) | 12.7682 | − | 7.37173i | 0.683467 | − | 0.394600i | −0.117693 | − | 0.993050i | \(-0.537550\pi\) |
0.801160 | + | 0.598450i | \(0.204217\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −12.5989 | + | 7.76816i | −0.672478 | + | 0.414634i | ||||
\(352\) | −1.97231 | − | 3.41614i | −0.105124 | − | 0.182081i | ||||
\(353\) | 17.2776 | 0.919595 | 0.459798 | − | 0.888024i | \(-0.347922\pi\) | ||||
0.459798 | + | 0.888024i | \(0.347922\pi\) | |||||||
\(354\) | 0.0361097 | + | 0.00600879i | 0.00191921 | + | 0.000319364i | ||||
\(355\) | − | 7.56060i | − | 0.401275i | ||||||
\(356\) | 4.63323 | − | 8.02499i | 0.245561 | − | 0.425324i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.88766 | + | 5.00158i | 0.152618 | + | 0.264342i | ||||
\(359\) | 9.45088 | − | 5.45647i | 0.498799 | − | 0.287982i | −0.229419 | − | 0.973328i | \(-0.573682\pi\) |
0.728217 | + | 0.685346i | \(0.240349\pi\) | |||||||
\(360\) | 3.78030 | − | 11.0443i | 0.199239 | − | 0.582085i | ||||
\(361\) | −7.90736 | + | 13.6959i | −0.416177 | + | 0.720839i | ||||
\(362\) | 2.76655 | − | 4.79180i | 0.145407 | − | 0.251852i | ||||
\(363\) | 1.29646 | − | 7.79106i | 0.0680466 | − | 0.408925i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 16.3599 | + | 9.44541i | 0.856318 | + | 0.494395i | ||||
\(366\) | 4.00443 | − | 1.50137i | 0.209315 | − | 0.0784777i | ||||
\(367\) | − | 35.7272i | − | 1.86494i | −0.361242 | − | 0.932472i | \(-0.617647\pi\) | ||
0.361242 | − | 0.932472i | \(-0.382353\pi\) | |||||||
\(368\) | −5.41535 | − | 3.12656i | −0.282295 | − | 0.162983i | ||||
\(369\) | −23.7222 | + | 20.6976i | −1.23493 | + | 1.07748i | ||||
\(370\) | − | 11.6795i | − | 0.607187i | ||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −3.86466 | + | 4.69694i | −0.200373 | + | 0.243525i | ||||
\(373\) | −32.0600 | −1.66001 | −0.830003 | − | 0.557760i | \(-0.811661\pi\) | ||||
−0.830003 | + | 0.557760i | \(0.811661\pi\) | |||||||
\(374\) | 1.46368 | + | 2.53518i | 0.0756853 | + | 0.131091i | ||||
\(375\) | −5.68716 | + | 34.1768i | −0.293683 | + | 1.76488i | ||||
\(376\) | −1.89248 | − | 1.09263i | −0.0975974 | − | 0.0563479i | ||||
\(377\) | 8.22549 | 0.423634 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 34.8891 | 1.79214 | 0.896068 | − | 0.443918i | \(-0.146412\pi\) | ||||
0.896068 | + | 0.443918i | \(0.146412\pi\) | |||||||
\(380\) | 6.01422 | + | 3.47231i | 0.308523 | + | 0.178126i | ||||
\(381\) | −0.837186 | + | 5.03105i | −0.0428903 | + | 0.257749i | ||||
\(382\) | 3.10686 | + | 5.38124i | 0.158961 | + | 0.275328i | ||||
\(383\) | −17.5342 | −0.895957 | −0.447978 | − | 0.894044i | \(-0.647856\pi\) | ||||
−0.447978 | + | 0.894044i | \(0.647856\pi\) | |||||||
\(384\) | 1.10050 | − | 1.33750i | 0.0561596 | − | 0.0682539i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 7.80542i | 0.397286i | ||||||||
\(387\) | −0.544895 | − | 2.77616i | −0.0276986 | − | 0.141120i | ||||
\(388\) | −16.2983 | − | 9.40980i | −0.827418 | − | 0.477710i | ||||
\(389\) | − | 7.62171i | − | 0.386436i | −0.981156 | − | 0.193218i | \(-0.938108\pi\) | ||
0.981156 | − | 0.193218i | \(-0.0618925\pi\) | |||||||
\(390\) | 17.9758 | − | 6.73961i | 0.910242 | − | 0.341273i | ||||
\(391\) | 4.01882 | + | 2.32027i | 0.203241 | + | 0.117341i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −4.28317 | + | 25.7396i | −0.216057 | + | 1.29839i | ||||
\(394\) | −6.38687 | + | 11.0624i | −0.321766 | + | 0.557315i | ||||
\(395\) | −7.07430 | + | 12.2530i | −0.355947 | + | 0.616517i | ||||
\(396\) | 11.6123 | − | 2.27922i | 0.583540 | − | 0.114535i | ||||
\(397\) | 32.6032 | − | 18.8234i | 1.63631 | − | 0.944722i | 0.654216 | − | 0.756307i | \(-0.272999\pi\) |
0.982090 | − | 0.188414i | \(-0.0603348\pi\) | |||||||
\(398\) | 0.906005 | + | 1.56925i | 0.0454139 | + | 0.0786592i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.07039 | + | 8.78217i | −0.253519 | + | 0.439108i | ||||
\(401\) | − | 21.4415i | − | 1.07074i | −0.844619 | − | 0.535368i | \(-0.820173\pi\) | ||
0.844619 | − | 0.535368i | \(-0.179827\pi\) | |||||||
\(402\) | 22.9788 | + | 3.82377i | 1.14608 | + | 0.190712i | ||||
\(403\) | −10.0032 | −0.498293 | ||||||||
\(404\) | 4.14079 | + | 7.17206i | 0.206012 | + | 0.356823i | ||||
\(405\) | 27.6747 | + | 21.4595i | 1.37517 | + | 1.06633i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 10.2538 | − | 5.92004i | 0.508262 | − | 0.293445i | ||||
\(408\) | −0.816699 | + | 0.992580i | −0.0404326 | + | 0.0491401i | ||||
\(409\) | −25.6086 | + | 14.7851i | −1.26627 | + | 0.731079i | −0.974279 | − | 0.225344i | \(-0.927649\pi\) |
−0.291986 | + | 0.956423i | \(0.594316\pi\) | |||||||
\(410\) | 35.3631 | − | 20.4169i | 1.74646 | − | 1.00832i | ||||
\(411\) | 26.8584 | + | 4.46934i | 1.32483 | + | 0.220456i | ||||
\(412\) | 14.7646 | − | 8.52435i | 0.727400 | − | 0.419964i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 14.1353 | − | 12.3331i | 0.694714 | − | 0.606137i | ||||
\(415\) | 15.6811 | + | 27.1605i | 0.769755 | + | 1.33325i | ||||
\(416\) | 2.84849 | 0.139659 | ||||||||
\(417\) | 3.63907 | − | 4.42277i | 0.178206 | − | 0.216584i | ||||
\(418\) | 7.04011i | 0.344343i | ||||||||
\(419\) | −3.56481 | + | 6.17443i | −0.174152 | + | 0.301641i | −0.939868 | − | 0.341539i | \(-0.889052\pi\) |
0.765715 | + | 0.643180i | \(0.222385\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.31007 | − | 4.00115i | −0.112586 | − | 0.195004i | 0.804226 | − | 0.594323i | \(-0.202580\pi\) |
−0.916812 | + | 0.399319i | \(0.869247\pi\) | |||||||
\(422\) | −3.26953 | + | 1.88766i | −0.159158 | + | 0.0918899i | ||||
\(423\) | 4.93983 | − | 4.30999i | 0.240183 | − | 0.209559i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 3.76282 | − | 6.51739i | 0.182524 | − | 0.316140i | ||||
\(426\) | 2.59882 | + | 2.13832i | 0.125913 | + | 0.103602i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 12.4161 | + | 7.16846i | 0.600157 | + | 0.346501i | ||||
\(429\) | 15.0284 | + | 12.3654i | 0.725580 | + | 0.597009i | ||||
\(430\) | 3.66949i | 0.176958i | ||||||||
\(431\) | 3.47078 | + | 2.00385i | 0.167181 | + | 0.0965223i | 0.581256 | − | 0.813721i | \(-0.302561\pi\) |
−0.414075 | + | 0.910243i | \(0.635895\pi\) | |||||||
\(432\) | 2.72711 | + | 4.42299i | 0.131208 | + | 0.212801i | ||||
\(433\) | − | 29.4125i | − | 1.41348i | −0.707475 | − | 0.706738i | \(-0.750166\pi\) | ||
0.707475 | − | 0.706738i | \(-0.249834\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −6.83228 | − | 18.2230i | −0.327583 | − | 0.873726i | ||||
\(436\) | −11.2800 | −0.540212 | ||||||||
\(437\) | 5.58008 | + | 9.66498i | 0.266931 | + | 0.462339i | ||||
\(438\) | −7.87366 | + | 2.95204i | −0.376218 | + | 0.141054i | ||||
\(439\) | 18.5130 | + | 10.6885i | 0.883575 | + | 0.510133i | 0.871836 | − | 0.489799i | \(-0.162930\pi\) |
0.0117398 | + | 0.999931i | \(0.496263\pi\) | |||||||
\(440\) | −15.3490 | −0.731733 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.11392 | −0.100549 | ||||||||
\(443\) | −5.05227 | − | 2.91693i | −0.240041 | − | 0.138587i | 0.375155 | − | 0.926962i | \(-0.377590\pi\) |
−0.615195 | + | 0.788375i | \(0.710923\pi\) | |||||||
\(444\) | 4.01461 | + | 3.30323i | 0.190525 | + | 0.156764i | ||||
\(445\) | −18.0284 | − | 31.2262i | −0.854630 | − | 1.48026i | ||||
\(446\) | −12.7782 | −0.605065 | ||||||||
\(447\) | 18.7968 | + | 3.12786i | 0.889059 | + | 0.147943i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 22.5823i | − | 1.06573i | −0.846202 | − | 0.532863i | \(-0.821116\pi\) | ||
0.846202 | − | 0.532863i | \(-0.178884\pi\) | |||||||
\(450\) | −20.0007 | − | 22.9235i | −0.942844 | − | 1.08062i | ||||
\(451\) | 35.8493 | + | 20.6976i | 1.68808 | + | 0.974613i | ||||
\(452\) | − | 9.83228i | − | 0.462472i | ||||||
\(453\) | 0.409400 | − | 2.46028i | 0.0192353 | − | 0.115594i | ||||
\(454\) | −17.3051 | − | 9.99110i | −0.812168 | − | 0.468906i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −2.89450 | + | 1.08523i | −0.135548 | + | 0.0508203i | ||||
\(457\) | −19.9311 | + | 34.5218i | −0.932340 | + | 1.61486i | −0.153029 | + | 0.988222i | \(0.548903\pi\) |
−0.779310 | + | 0.626638i | \(0.784430\pi\) | |||||||
\(458\) | −5.06568 | + | 8.77402i | −0.236704 | + | 0.409983i | ||||
\(459\) | −2.02384 | − | 3.28238i | −0.0944646 | − | 0.153208i | ||||
\(460\) | −21.0718 | + | 12.1658i | −0.982476 | + | 0.567233i | ||||
\(461\) | −3.68254 | − | 6.37834i | −0.171513 | − | 0.297069i | 0.767436 | − | 0.641125i | \(-0.221532\pi\) |
−0.938949 | + | 0.344056i | \(0.888199\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.3457 | + | 24.8475i | −0.666702 | + | 1.15476i | 0.312119 | + | 0.950043i | \(0.398961\pi\) |
−0.978821 | + | 0.204718i | \(0.934372\pi\) | |||||||
\(464\) | − | 2.88766i | − | 0.134056i | ||||||
\(465\) | 8.30885 | + | 22.1613i | 0.385314 | + | 1.02771i | ||||
\(466\) | 7.31007 | 0.338632 | ||||||||
\(467\) | 6.83519 | + | 11.8389i | 0.316295 | + | 0.547839i | 0.979712 | − | 0.200411i | \(-0.0642278\pi\) |
−0.663417 | + | 0.748250i | \(0.730894\pi\) | |||||||
\(468\) | −2.76737 | + | 8.08498i | −0.127922 | + | 0.373728i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −7.36387 | + | 4.25153i | −0.339670 | + | 0.196109i | ||||
\(471\) | 10.0981 | + | 26.9335i | 0.465295 | + | 1.24103i | ||||
\(472\) | 0.0183031 | − | 0.0105673i | 0.000842469 | − | 0.000486400i | ||||
\(473\) | −3.22157 | + | 1.85997i | −0.148128 | + | 0.0855216i | ||||
\(474\) | −2.21098 | − | 5.89711i | −0.101554 | − | 0.270863i | ||||
\(475\) | 15.6739 | − | 9.04931i | 0.719166 | − | 0.415211i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 4.20494 | + | 7.28317i | 0.192329 | + | 0.333124i | ||||
\(479\) | −10.4107 | −0.475679 | −0.237839 | − | 0.971304i | \(-0.576439\pi\) | ||||
−0.237839 | + | 0.971304i | \(0.576439\pi\) | |||||||
\(480\) | −2.36603 | − | 6.31064i | −0.107994 | − | 0.288040i | ||||
\(481\) | 8.54997i | 0.389845i | ||||||||
\(482\) | −4.47607 | + | 7.75277i | −0.203879 | + | 0.353129i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.28001 | − | 3.94910i | −0.103637 | − | 0.179504i | ||||
\(485\) | −63.4184 | + | 36.6146i | −2.87968 | + | 1.66258i | ||||
\(486\) | −15.2034 | + | 3.44343i | −0.689639 | + | 0.156197i | ||||
\(487\) | −1.16925 | + | 2.02520i | −0.0529838 | + | 0.0917707i | −0.891301 | − | 0.453412i | \(-0.850207\pi\) |
0.838317 | + | 0.545183i | \(0.183540\pi\) | |||||||
\(488\) | 1.23456 | − | 2.13832i | 0.0558858 | − | 0.0967970i | ||||
\(489\) | −20.1031 | + | 7.53716i | −0.909092 | + | 0.340842i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −29.3448 | − | 16.9422i | −1.32431 | − | 0.764591i | −0.339898 | − | 0.940462i | \(-0.610392\pi\) |
−0.984413 | + | 0.175871i | \(0.943726\pi\) | |||||||
\(492\) | −2.98358 | + | 17.9298i | −0.134510 | + | 0.808337i | ||||
\(493\) | 2.14298i | 0.0965151i | ||||||||
\(494\) | −4.40271 | − | 2.54191i | −0.198087 | − | 0.114366i | ||||
\(495\) | 14.9118 | − | 43.5655i | 0.670238 | − | 1.95812i | ||||
\(496\) | 3.51174i | 0.157682i | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −13.7709 | − | 2.29153i | −0.617088 | − | 0.102686i | ||||
\(499\) | −16.6045 | −0.743317 | −0.371659 | − | 0.928369i | \(-0.621211\pi\) | ||||
−0.371659 | + | 0.928369i | \(0.621211\pi\) | |||||||
\(500\) | 10.0017 | + | 17.3234i | 0.447288 | + | 0.774726i | ||||
\(501\) | 15.6778 | + | 12.8998i | 0.700434 | + | 0.576319i | ||||
\(502\) | −10.9494 | − | 6.32161i | −0.488694 | − | 0.282147i | ||||
\(503\) | −35.3661 | −1.57690 | −0.788449 | − | 0.615100i | \(-0.789115\pi\) | ||||
−0.788449 | + | 0.615100i | \(0.789115\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 32.2246 | 1.43398 | ||||||||
\(506\) | −21.3615 | − | 12.3331i | −0.949635 | − | 0.548272i | ||||
\(507\) | 7.92430 | − | 2.97103i | 0.351930 | − | 0.131948i | ||||
\(508\) | 1.47231 | + | 2.55012i | 0.0653232 | + | 0.113143i | ||||
\(509\) | 37.0582 | 1.64257 | 0.821287 | − | 0.570515i | \(-0.193256\pi\) | ||||
0.821287 | + | 0.570515i | \(0.193256\pi\) | |||||||
\(510\) | 1.75587 | + | 4.68324i | 0.0777511 | + | 0.207377i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −0.268160 | − | 9.26989i | −0.0118396 | − | 0.409276i | ||||
\(514\) | −14.1219 | − | 8.15329i | −0.622891 | − | 0.359626i | ||||
\(515\) | − | 66.3384i | − | 2.92322i | ||||||
\(516\) | −1.26132 | − | 1.03782i | −0.0555264 | − | 0.0456873i | ||||
\(517\) | −7.46513 | − | 4.30999i | −0.328316 | − | 0.189553i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 22.4311 | + | 18.4564i | 0.984618 | + | 0.810147i | ||||
\(520\) | 5.54191 | − | 9.59886i | 0.243029 | − | 0.420938i | ||||
\(521\) | −0.891547 | + | 1.54420i | −0.0390594 | + | 0.0676528i | −0.884894 | − | 0.465792i | \(-0.845769\pi\) |
0.845835 | + | 0.533445i | \(0.179103\pi\) | |||||||
\(522\) | 8.19615 | + | 2.80542i | 0.358736 | + | 0.122790i | ||||
\(523\) | −20.8312 | + | 12.0269i | −0.910886 | + | 0.525901i | −0.880716 | − | 0.473644i | \(-0.842938\pi\) |
−0.0301702 | + | 0.999545i | \(0.509605\pi\) | |||||||
\(524\) | 7.53255 | + | 13.0468i | 0.329061 | + | 0.569950i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.8608 | + | 20.5434i | −0.517154 | + | 0.895737i | ||||
\(527\) | − | 2.60612i | − | 0.113524i | ||||||
\(528\) | 4.34105 | − | 5.27592i | 0.188920 | − | 0.229605i | ||||
\(529\) | −16.1014 | −0.700060 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.0122117 | + | 0.0622167i | 0.000529942 | + | 0.00269998i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −25.8876 | + | 14.9462i | −1.12132 | + | 0.647392i | ||||
\(534\) | 15.8323 | + | 2.63455i | 0.685130 | + | 0.114008i | ||||
\(535\) | 48.3126 | − | 27.8933i | 2.08874 | − | 1.20593i | ||||
\(536\) | 11.6474 | − | 6.72463i | 0.503091 | − | 0.290460i | ||||
\(537\) | −6.35574 | + | 7.72449i | −0.274270 | + | 0.333336i | ||||
\(538\) | 6.30716 | − | 3.64144i | 0.271921 | − | 0.156994i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 20.2104 | − | 0.584648i | 0.869716 | − | 0.0251592i | ||||
\(541\) | −15.0016 | − | 25.9835i | −0.644968 | − | 1.11712i | −0.984309 | − | 0.176454i | \(-0.943537\pi\) |
0.339341 | − | 0.940664i | \(-0.389796\pi\) | |||||||
\(542\) | −22.6879 | −0.974530 | ||||||||
\(543\) | 9.45362 | + | 1.57312i | 0.405694 | + | 0.0675089i | ||||
\(544\) | 0.742117i | 0.0318180i | ||||||||
\(545\) | −21.9458 | + | 38.0113i | −0.940056 | + | 1.62822i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10.7816 | − | 18.6743i | −0.460987 | − | 0.798454i | 0.538023 | − | 0.842930i | \(-0.319171\pi\) |
−0.999010 | + | 0.0444765i | \(0.985838\pi\) | |||||||
\(548\) | 13.6139 | − | 7.85997i | 0.581556 | − | 0.335761i | ||||
\(549\) | 4.86986 | + | 5.58151i | 0.207840 | + | 0.238213i | ||||
\(550\) | −20.0007 | + | 34.6423i | −0.852835 | + | 1.47715i | ||||
\(551\) | −2.57686 | + | 4.46325i | −0.109778 | + | 0.190141i | ||||
\(552\) | 1.77782 | − | 10.6838i | 0.0756692 | − | 0.454733i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 20.9298 | + | 12.0838i | 0.889221 | + | 0.513392i | ||||
\(555\) | 18.9419 | − | 7.10181i | 0.804038 | − | 0.301455i | ||||
\(556\) | − | 3.30675i | − | 0.140237i | ||||||
\(557\) | 31.9976 | + | 18.4738i | 1.35578 | + | 0.782762i | 0.989052 | − | 0.147565i | \(-0.0471436\pi\) |
0.366731 | + | 0.930327i | \(0.380477\pi\) | |||||||
\(558\) | −9.96748 | − | 3.41172i | −0.421957 | − | 0.144430i | ||||
\(559\) | − | 2.68625i | − | 0.113616i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.22157 | + | 3.91535i | −0.136015 | + | 0.165306i | ||||
\(562\) | −4.74847 | −0.200302 | ||||||||
\(563\) | 7.58422 | + | 13.1363i | 0.319637 | + | 0.553627i | 0.980412 | − | 0.196957i | \(-0.0631058\pi\) |
−0.660776 | + | 0.750584i | \(0.729772\pi\) | |||||||
\(564\) | 0.621290 | − | 3.73363i | 0.0261610 | − | 0.157214i | ||||
\(565\) | −33.1329 | − | 19.1293i | −1.39391 | − | 0.804774i | ||||
\(566\) | −29.3853 | −1.23516 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.94304 | 0.0815282 | ||||||||
\(569\) | 31.8084 | + | 18.3646i | 1.33348 | + | 0.769885i | 0.985831 | − | 0.167740i | \(-0.0536470\pi\) |
0.347648 | + | 0.937625i | \(0.386980\pi\) | |||||||
\(570\) | −1.97443 | + | 11.8653i | −0.0826997 | + | 0.496982i | ||||
\(571\) | −5.61387 | − | 9.72351i | −0.234933 | − | 0.406916i | 0.724320 | − | 0.689464i | \(-0.242154\pi\) |
−0.959253 | + | 0.282548i | \(0.908820\pi\) | |||||||
\(572\) | 11.2362 | 0.469810 | ||||||||
\(573\) | −6.83819 | + | 8.31085i | −0.285670 | + | 0.347191i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 63.4114i | 2.64444i | ||||||||
\(576\) | 2.83834 | + | 0.971521i | 0.118264 | + | 0.0404800i | ||||
\(577\) | −31.6545 | − | 18.2757i | −1.31780 | − | 0.760829i | −0.334422 | − | 0.942424i | \(-0.608541\pi\) |
−0.983374 | + | 0.181594i | \(0.941874\pi\) | |||||||
\(578\) | 16.4493i | 0.684199i | ||||||||
\(579\) | −12.6589 | + | 4.74616i | −0.526086 | + | 0.197243i | ||||
\(580\) | −9.73085 | − | 5.61811i | −0.404052 | − | 0.233279i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 5.35061 | − | 32.1544i | 0.221790 | − | 1.33284i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −2.42743 | + | 4.20443i | −0.100448 | + | 0.173981i | ||||
\(585\) | 21.8607 | + | 25.0553i | 0.903829 | + | 1.03591i | ||||
\(586\) | −5.73666 | + | 3.31206i | −0.236979 | + | 0.136820i | ||||
\(587\) | 4.99738 | + | 8.65571i | 0.206264 | + | 0.357259i | 0.950535 | − | 0.310619i | \(-0.100536\pi\) |
−0.744271 | + | 0.667878i | \(0.767203\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.13376 | − | 5.42784i | 0.129124 | − | 0.223650i | ||||
\(590\) | − | 0.0822372i | − | 0.00338565i | ||||||
\(591\) | −21.8247 | − | 3.63171i | −0.897747 | − | 0.149389i | ||||
\(592\) | 3.00158 | 0.123364 | ||||||||
\(593\) | −3.89111 | − | 6.73961i | −0.159789 | − | 0.276763i | 0.775004 | − | 0.631957i | \(-0.217748\pi\) |
−0.934792 | + | 0.355194i | \(0.884415\pi\) | |||||||
\(594\) | 10.7574 | + | 17.4470i | 0.441382 | + | 0.715860i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 9.52765 | − | 5.50079i | 0.390268 | − | 0.225321i | ||||
\(597\) | −1.99411 | + | 2.42356i | −0.0816136 | + | 0.0991897i | ||||
\(598\) | 15.4256 | − | 8.90597i | 0.630800 | − | 0.364192i | ||||
\(599\) | −21.6614 | + | 12.5062i | −0.885061 | + | 0.510990i | −0.872324 | − | 0.488929i | \(-0.837388\pi\) |
−0.0127373 | + | 0.999919i | \(0.504055\pi\) | |||||||
\(600\) | −17.3261 | − | 2.88313i | −0.707335 | − | 0.117703i | ||||
\(601\) | 25.9925 | − | 15.0068i | 1.06026 | − | 0.612139i | 0.134753 | − | 0.990879i | \(-0.456976\pi\) |
0.925503 | + | 0.378740i | \(0.123643\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 7.77106 | + | 39.5924i | 0.316462 | + | 1.61233i | ||||
\(604\) | −0.719988 | − | 1.24706i | −0.0292959 | − | 0.0507420i | ||||
\(605\) | −17.7436 | −0.721379 | ||||||||
\(606\) | −9.11387 | + | 11.0766i | −0.370226 | + | 0.449956i | ||||
\(607\) | − | 4.58280i | − | 0.186010i | −0.995666 | − | 0.0930050i | \(-0.970353\pi\) | ||
0.995666 | − | 0.0930050i | \(-0.0296473\pi\) | |||||||
\(608\) | −0.892369 | + | 1.54563i | −0.0361903 | + | 0.0626835i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.80380 | − | 8.32043i | −0.194500 | − | 0.336884i | ||||
\(611\) | 5.39073 | − | 3.11234i | 0.218085 | − | 0.125912i | ||||
\(612\) | −2.10638 | − | 0.720982i | −0.0851452 | − | 0.0291440i | ||||
\(613\) | −15.2761 | + | 26.4590i | −0.616996 | + | 1.06867i | 0.373034 | + | 0.927818i | \(0.378317\pi\) |
−0.990031 | + | 0.140852i | \(0.955016\pi\) | |||||||
\(614\) | −10.8621 | + | 18.8137i | −0.438359 | + | 0.759259i | ||||
\(615\) | 54.6151 | + | 44.9375i | 2.20229 | + | 1.81206i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −28.2484 | − | 16.3092i | −1.13724 | − | 0.656585i | −0.191493 | − | 0.981494i | \(-0.561333\pi\) |
−0.945745 | + | 0.324909i | \(0.894666\pi\) | |||||||
\(618\) | 22.8026 | + | 18.7621i | 0.917255 | + | 0.754721i | ||||
\(619\) | − | 20.0045i | − | 0.804049i | −0.915629 | − | 0.402024i | \(-0.868307\pi\) | ||
0.915629 | − | 0.402024i | \(-0.131693\pi\) | |||||||
\(620\) | 11.8339 | + | 6.83228i | 0.475259 | + | 0.274391i | ||||
\(621\) | 28.5970 | + | 15.4256i | 1.14756 | + | 0.619008i | ||||
\(622\) | − | 6.29800i | − | 0.252527i | ||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 1.73205 | + | 4.61971i | 0.0693375 | + | 0.184937i | ||||
\(625\) | 27.1314 | 1.08526 | ||||||||
\(626\) | −11.1095 | − | 19.2423i | −0.444026 | − | 0.769076i | ||||
\(627\) | −11.4177 | + | 4.28080i | −0.455980 | + | 0.170959i | ||||
\(628\) | 14.3822 | + | 8.30354i | 0.573910 | + | 0.331347i | ||||
\(629\) | −2.22752 | −0.0888171 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 6.09634 | 0.242692 | 0.121346 | − | 0.992610i | \(-0.461279\pi\) | ||||
0.121346 | + | 0.992610i | \(0.461279\pi\) | |||||||
\(632\) | −3.14898 | − | 1.81806i | −0.125260 | − | 0.0723187i | ||||
\(633\) | −5.04949 | − | 4.15474i | −0.200699 | − | 0.165136i | ||||
\(634\) | −7.83070 | − | 13.5632i | −0.310997 | − | 0.538663i | ||||
\(635\) | 11.4579 | 0.454691 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 11.3907i | − | 0.450963i | ||||||
\(639\) | −1.88771 | + | 5.51501i | −0.0746765 | + | 0.218170i | ||||
\(640\) | −3.36980 | − | 1.94556i | −0.133203 | − | 0.0769049i | ||||
\(641\) | 33.4415i | 1.32086i | 0.750888 | + | 0.660429i | \(0.229626\pi\) | ||||
−0.750888 | + | 0.660429i | \(0.770374\pi\) | |||||||
\(642\) | −4.07614 | + | 24.4955i | −0.160872 | + | 0.966758i | ||||
\(643\) | −16.6022 | − | 9.58527i | −0.654726 | − | 0.378006i | 0.135539 | − | 0.990772i | \(-0.456724\pi\) |
−0.790264 | + | 0.612766i | \(0.790057\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −5.95121 | + | 2.23126i | −0.234328 | + | 0.0878559i | ||||
\(646\) | 0.662242 | − | 1.14704i | 0.0260556 | − | 0.0451296i | ||||
\(647\) | −22.3025 | + | 38.6290i | −0.876800 | + | 1.51866i | −0.0219681 | + | 0.999759i | \(0.506993\pi\) |
−0.854832 | + | 0.518904i | \(0.826340\pi\) | |||||||
\(648\) | −5.51501 | + | 7.11229i | −0.216650 | + | 0.279397i | ||||
\(649\) | 0.0721988 | − | 0.0416840i | 0.00283405 | − | 0.00163624i | ||||
\(650\) | −14.4430 | − | 25.0159i | −0.566500 | − | 0.981206i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.19773 | + | 10.7348i | −0.242722 | + | 0.420407i | ||||
\(653\) | 0.652123i | 0.0255195i | 0.999919 | + | 0.0127598i | \(0.00406167\pi\) | ||||
−0.999919 | + | 0.0127598i | \(0.995938\pi\) | |||||||
\(654\) | −6.85888 | − | 18.2940i | −0.268203 | − | 0.715350i | ||||
\(655\) | 58.6200 | 2.29047 | ||||||||
\(656\) | 5.24705 | + | 9.08816i | 0.204863 | + | 0.354833i | ||||
\(657\) | −9.57529 | − | 10.9746i | −0.373568 | − | 0.428158i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 26.2738 | − | 15.1692i | 1.02348 | − | 0.590908i | 0.108372 | − | 0.994110i | \(-0.465436\pi\) |
0.915111 | + | 0.403202i | \(0.132103\pi\) | |||||||
\(660\) | −9.33307 | − | 24.8931i | −0.363289 | − | 0.968962i | ||||
\(661\) | −11.1004 | + | 6.40881i | −0.431755 | + | 0.249274i | −0.700094 | − | 0.714051i | \(-0.746859\pi\) |
0.268339 | + | 0.963325i | \(0.413525\pi\) | |||||||
\(662\) | −1.10181 | + | 0.636129i | −0.0428230 | + | 0.0247239i | ||||
\(663\) | −1.28538 | − | 3.42837i | −0.0499202 | − | 0.133147i | ||||
\(664\) | −6.98012 | + | 4.02998i | −0.270881 | + | 0.156393i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −2.91610 | + | 8.51948i | −0.112996 | + | 0.330123i | ||||
\(667\) | −9.02843 | − | 15.6377i | −0.349582 | − | 0.605494i | ||||
\(668\) | 11.7217 | 0.453528 | ||||||||
\(669\) | −7.76989 | − | 20.7238i | −0.300401 | − | 0.801228i | ||||
\(670\) | − | 52.3326i | − | 2.02179i | ||||||
\(671\) | 4.86986 | − | 8.43484i | 0.187999 | − | 0.325623i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 11.2246 | + | 19.4416i | 0.432678 | + | 0.749420i | 0.997103 | − | 0.0760644i | \(-0.0242355\pi\) |
−0.564425 | + | 0.825484i | \(0.690902\pi\) | |||||||
\(674\) | −6.54717 | + | 3.78001i | −0.252188 | + | 0.145601i | ||||
\(675\) | 25.0159 | − | 46.3762i | 0.962864 | − | 1.78502i | ||||
\(676\) | 2.44304 | − | 4.23147i | 0.0939632 | − | 0.162749i | ||||
\(677\) | −25.5903 | + | 44.3237i | −0.983516 | + | 1.70350i | −0.335163 | + | 0.942160i | \(0.608791\pi\) |
−0.648353 | + | 0.761340i | \(0.724542\pi\) | |||||||
\(678\) | 15.9461 | − | 5.97860i | 0.612406 | − | 0.229607i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 2.50079 | + | 1.44383i | 0.0959009 | + | 0.0553684i | ||||
\(681\) | 5.68115 | − | 34.1407i | 0.217702 | − | 1.30828i | ||||
\(682\) | 13.8525i | 0.530438i | ||||||||
\(683\) | 12.6107 | + | 7.28080i | 0.482536 | + | 0.278592i | 0.721473 | − | 0.692443i | \(-0.243466\pi\) |
−0.238937 | + | 0.971035i | \(0.576799\pi\) | |||||||
\(684\) | −3.52006 | − | 4.03445i | −0.134593 | − | 0.154261i | ||||
\(685\) | − | 61.1681i | − | 2.33711i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −17.3100 | − | 2.88045i | −0.660419 | − | 0.109896i | ||||
\(688\) | −0.943042 | −0.0359532 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −32.5434 | − | 26.7769i | −1.23891 | − | 1.01938i | ||||
\(691\) | −21.1757 | − | 12.2258i | −0.805560 | − | 0.465090i | 0.0398517 | − | 0.999206i | \(-0.487311\pi\) |
−0.845412 | + | 0.534115i | \(0.820645\pi\) | |||||||
\(692\) | 16.7710 | 0.637536 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −22.1091 | −0.839250 | ||||||||
\(695\) | −11.1431 | − | 6.43347i | −0.422682 | − | 0.244035i | ||||
\(696\) | 4.68324 | − | 1.75587i | 0.177518 | − | 0.0665560i | ||||
\(697\) | −3.89393 | − | 6.74448i | −0.147493 | − | 0.255465i | ||||
\(698\) | 14.7435 | 0.558048 | ||||||||
\(699\) | 4.44495 | + | 11.8555i | 0.168123 | + | 0.448417i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 2.21697i | − | 0.0837337i | −0.999123 | − | 0.0418669i | \(-0.986669\pi\) | ||
0.999123 | − | 0.0418669i | \(-0.0133305\pi\) | |||||||
\(702\) | −14.7950 | + | 0.427992i | −0.558402 | + | 0.0161535i | ||||
\(703\) | −4.63932 | − | 2.67851i | −0.174975 | − | 0.101022i | ||||
\(704\) | − | 3.94462i | − | 0.148668i | ||||||
\(705\) | −11.3728 | − | 9.35761i | −0.428326 | − | 0.352428i | ||||
\(706\) | 14.9629 | + | 8.63881i | 0.563135 | + | 0.325126i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0.0282675 | + | 0.0232586i | 0.00106236 | + | 0.000874112i | ||||
\(709\) | 12.1962 | − | 21.1244i | 0.458036 | − | 0.793342i | −0.540821 | − | 0.841138i | \(-0.681886\pi\) |
0.998857 | + | 0.0477959i | \(0.0152197\pi\) | |||||||
\(710\) | 3.78030 | − | 6.54767i | 0.141872 | − | 0.245730i | ||||
\(711\) | 8.21958 | − | 7.17157i | 0.308258 | − | 0.268955i | ||||
\(712\) | 8.02499 | − | 4.63323i | 0.300749 | − | 0.173638i | ||||
\(713\) | 10.9796 | + | 19.0173i | 0.411190 | + | 0.712203i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 21.8607 | − | 37.8639i | 0.817544 | − | 1.41603i | ||||
\(716\) | 5.77532i | 0.215834i | ||||||||
\(717\) | −9.25506 | + | 11.2482i | −0.345636 | + | 0.420072i | ||||
\(718\) | 10.9129 | 0.407267 | ||||||||
\(719\) | −1.11376 | − | 1.92909i | −0.0415363 | − | 0.0719429i | 0.844510 | − | 0.535540i | \(-0.179892\pi\) |
−0.886046 | + | 0.463597i | \(0.846559\pi\) | |||||||
\(720\) | 8.79598 | − | 7.67448i | 0.327807 | − | 0.286011i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −13.6959 | + | 7.90736i | −0.509710 | + | 0.294281i | ||||
\(723\) | −15.2952 | − | 2.54518i | −0.568836 | − | 0.0946564i | ||||
\(724\) | 4.79180 | − | 2.76655i | 0.178086 | − | 0.102818i | ||||
\(725\) | −25.3599 | + | 14.6416i | −0.941844 | + | 0.543774i | ||||
\(726\) | 5.01830 | − | 6.09903i | 0.186247 | − | 0.226356i | ||||
\(727\) | −10.4880 | + | 6.05523i | −0.388977 | + | 0.224576i | −0.681717 | − | 0.731616i | \(-0.738766\pi\) |
0.292740 | + | 0.956192i | \(0.405433\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −14.8291 | − | 22.5632i | −0.549227 | − | 0.835673i | ||||
\(730\) | 9.44541 | + | 16.3599i | 0.349590 | + | 0.605508i | ||||
\(731\) | 0.699848 | 0.0258848 | ||||||||
\(732\) | 4.21862 | + | 0.701995i | 0.155925 | + | 0.0259465i | ||||
\(733\) | 15.6661i | 0.578641i | 0.957232 | + | 0.289321i | \(0.0934293\pi\) | ||||
−0.957232 | + | 0.289321i | \(0.906571\pi\) | |||||||
\(734\) | 17.8636 | − | 30.9407i | 0.659357 | − | 1.14204i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.12656 | − | 5.41535i | −0.115246 | − | 0.199613i | ||||
\(737\) | 45.9446 | − | 26.5261i | 1.69239 | − | 0.977102i | ||||
\(738\) | −30.8929 | + | 6.06355i | −1.13718 | + | 0.223202i | ||||
\(739\) | 4.05227 | − | 7.01874i | 0.149065 | − | 0.258188i | −0.781817 | − | 0.623508i | \(-0.785707\pi\) |
0.930882 | + | 0.365319i | \(0.119040\pi\) | |||||||
\(740\) | 5.83974 | − | 10.1147i | 0.214673 | − | 0.371825i | ||||
\(741\) | 1.44538 | − | 8.68599i | 0.0530974 | − | 0.319088i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −10.5429 | − | 6.08697i | −0.386783 | − | 0.223309i | 0.293982 | − | 0.955811i | \(-0.405019\pi\) |
−0.680765 | + | 0.732502i | \(0.738353\pi\) | |||||||
\(744\) | −5.69536 | + | 2.13534i | −0.208802 | + | 0.0782854i | ||||
\(745\) | − | 42.8084i | − | 1.56838i | ||||||
\(746\) | −27.7648 | − | 16.0300i | −1.01654 | − | 0.586900i | ||||
\(747\) | −4.65709 | − | 23.7271i | −0.170394 | − | 0.868131i | ||||
\(748\) | 2.92737i | 0.107035i | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −22.0136 | + | 26.7544i | −0.803824 | + | 0.976934i | ||||
\(751\) | 34.6123 | 1.26302 | 0.631511 | − | 0.775367i | \(-0.282435\pi\) | ||||
0.631511 | + | 0.775367i | \(0.282435\pi\) | |||||||
\(752\) | −1.09263 | − | 1.89248i | −0.0398440 | − | 0.0690118i | ||||
\(753\) | 3.59460 | − | 21.6017i | 0.130995 | − | 0.787209i | ||||
\(754\) | 7.12348 | + | 4.11274i | 0.259422 | + | 0.149777i | ||||
\(755\) | −5.60311 | −0.203918 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −39.0553 | −1.41949 | −0.709744 | − | 0.704459i | \(-0.751190\pi\) | ||||
−0.709744 | + | 0.704459i | \(0.751190\pi\) | |||||||
\(758\) | 30.2149 | + | 17.4446i | 1.09745 | + | 0.633615i | ||||
\(759\) | 7.01284 | − | 42.1435i | 0.254550 | − | 1.52971i | ||||
\(760\) | 3.47231 | + | 6.01422i | 0.125954 | + | 0.218159i | ||||
\(761\) | 10.2252 | 0.370665 | 0.185332 | − | 0.982676i | \(-0.440664\pi\) | ||||
0.185332 | + | 0.982676i | \(0.440664\pi\) | |||||||
\(762\) | −3.24055 | + | 3.93842i | −0.117393 | + | 0.142674i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 6.21372i | 0.224805i | ||||||||
\(765\) | −6.52765 | + | 5.69536i | −0.236008 | + | 0.205916i | ||||
\(766\) | −15.1851 | − | 8.76711i | −0.548659 | − | 0.316769i | ||||
\(767\) | 0.0602018i | 0.00217376i | ||||||||
\(768\) | 1.62181 | − | 0.608059i | 0.0585220 | − | 0.0219414i | ||||
\(769\) | 26.6746 | + | 15.4006i | 0.961910 | + | 0.555359i | 0.896760 | − | 0.442517i | \(-0.145914\pi\) |
0.0651494 | + | 0.997876i | \(0.479248\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 4.63613 | − | 27.8607i | 0.166966 | − | 1.00338i | ||||
\(772\) | −3.90271 | + | 6.75970i | −0.140462 | + | 0.243287i | ||||
\(773\) | −17.8916 | + | 30.9892i | −0.643518 | + | 1.11461i | 0.341124 | + | 0.940018i | \(0.389192\pi\) |
−0.984642 | + | 0.174587i | \(0.944141\pi\) | |||||||
\(774\) | 0.916186 | − | 2.67667i | 0.0329316 | − | 0.0962109i | ||||
\(775\) | 30.8406 | − | 17.8059i | 1.10783 | − | 0.639605i | ||||
\(776\) | −9.40980 | − | 16.2983i | −0.337792 | − | 0.585073i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.81086 | − | 6.60060i | 0.136626 | − | 0.236643i | ||||
\(779\) | − | 18.7292i | − | 0.671044i | ||||||
\(780\) | 18.9373 | + | 3.15124i | 0.678065 | + | 0.112833i | ||||
\(781\) | 7.66456 | 0.274260 | ||||||||
\(782\) | 2.32027 | + | 4.01882i | 0.0829727 | + | 0.143713i | ||||
\(783\) | 0.433877 | + | 14.9985i | 0.0155055 | + | 0.536001i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 55.9626 | − | 32.3100i | 1.99739 | − | 1.15319i | ||||
\(786\) | −16.5791 | + | 20.1496i | −0.591358 | + | 0.718711i | ||||
\(787\) | 13.2859 | − | 7.67064i | 0.473592 | − | 0.273429i | −0.244150 | − | 0.969737i | \(-0.578509\pi\) |
0.717742 | + | 0.696309i | \(0.245176\pi\) | |||||||
\(788\) | −11.0624 | + | 6.38687i | −0.394081 | + | 0.227523i | ||||
\(789\) | −40.5296 | − | 6.74428i | −1.44289 | − | 0.240103i | ||||
\(790\) | −12.2530 | + | 7.07430i | −0.435944 | + | 0.251692i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 11.1962 | + | 3.83228i | 0.397838 | + | 0.136174i | ||||
\(793\) | 3.51663 | + | 6.09098i | 0.124879 | + | 0.216297i | ||||
\(794\) | 37.6469 | 1.33604 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 1.81201i | 0.0642250i | ||||||||
\(797\) | 17.5200 | − | 30.3455i | 0.620590 | − | 1.07489i | −0.368786 | − | 0.929514i | \(-0.620226\pi\) |
0.989376 | − | 0.145379i | \(-0.0464402\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.810856 | + | 1.40444i | 0.0286860 | + | 0.0496857i | ||||
\(800\) | −8.78217 | + | 5.07039i | −0.310496 | + | 0.179265i | ||||
\(801\) | 5.35421 | + | 27.2789i | 0.189182 | + | 0.963853i | ||||
\(802\) | 10.7207 | − | 18.5689i | 0.378562 | − | 0.655689i | ||||
\(803\) | −9.57529 | + | 16.5849i | −0.337905 | + | 0.585268i | ||||
\(804\) | 17.9884 | + | 14.8009i | 0.634401 | + | 0.521987i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −8.66299 | − | 5.00158i | −0.305141 | − | 0.176173i | ||||
\(807\) | 9.74084 | + | 8.01479i | 0.342894 | + | 0.282134i | ||||
\(808\) | 8.28158i | 0.291345i | ||||||||
\(809\) | −23.6360 | − | 13.6462i | −0.830997 | − | 0.479777i | 0.0231967 | − | 0.999731i | \(-0.492616\pi\) |
−0.854194 | + | 0.519954i | \(0.825949\pi\) | |||||||
\(810\) | 13.2373 | + | 32.4219i | 0.465110 | + | 1.13919i | ||||
\(811\) | 27.7628i | 0.974883i | 0.873156 | + | 0.487442i | \(0.162070\pi\) | ||||
−0.873156 | + | 0.487442i | \(0.837930\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −13.7956 | − | 36.7955i | −0.483833 | − | 1.29047i | ||||
\(814\) | 11.8401 | 0.414995 | ||||||||
\(815\) | 24.1161 | + | 41.7703i | 0.844749 | + | 1.46315i | ||||
\(816\) | −1.20357 | + | 0.451251i | −0.0421334 | + | 0.0157969i | ||||
\(817\) | 1.45759 | + | 0.841542i | 0.0509947 | + | 0.0294418i | ||||
\(818\) | −29.5703 | −1.03390 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 40.8338 | 1.42598 | ||||||||
\(821\) | 38.4968 | + | 22.2262i | 1.34355 | + | 0.775698i | 0.987326 | − | 0.158703i | \(-0.0507311\pi\) |
0.356223 | + | 0.934401i | \(0.384064\pi\) | |||||||
\(822\) | 21.0254 | + | 17.2998i | 0.733345 | + | 0.603399i | ||||
\(823\) | 25.5577 | + | 44.2672i | 0.890884 | + | 1.54306i | 0.838818 | + | 0.544413i | \(0.183247\pi\) |
0.0520663 | + | 0.998644i | \(0.483419\pi\) | |||||||
\(824\) | 17.0487 | 0.593919 | ||||||||
\(825\) | −68.3448 | − | 11.3728i | −2.37946 | − | 0.395951i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 14.5414i | − | 0.505653i | −0.967512 | − | 0.252826i | \(-0.918640\pi\) | ||
0.967512 | − | 0.252826i | \(-0.0813601\pi\) | |||||||
\(828\) | 18.4081 | − | 3.61308i | 0.639726 | − | 0.125563i | ||||
\(829\) | 24.2211 | + | 13.9841i | 0.841234 | + | 0.485686i | 0.857683 | − | 0.514178i | \(-0.171903\pi\) |
−0.0164497 | + | 0.999865i | \(0.505236\pi\) | |||||||
\(830\) | 31.3622i | 1.08860i | ||||||||
\(831\) | −6.87111 | + | 41.2918i | −0.238356 | + | 1.43240i | ||||
\(832\) | 2.46687 | + | 1.42425i | 0.0855233 | + | 0.0493769i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 5.36291 | − | 2.01070i | 0.185703 | − | 0.0696247i | ||||
\(835\) | 22.8053 | − | 39.5000i | 0.789211 | − | 1.36695i | ||||
\(836\) | −3.52006 | + | 6.09692i | −0.121744 | + | 0.210866i | ||||
\(837\) | −0.527645 | − | 18.2399i | −0.0182381 | − | 0.630462i | ||||
\(838\) | −6.17443 | + | 3.56481i | −0.213292 | + | 0.123144i | ||||
\(839\) | 0.499354 | + | 0.864906i | 0.0172396 | + | 0.0298599i | 0.874517 | − | 0.484996i | \(-0.161179\pi\) |
−0.857277 | + | 0.514856i | \(0.827846\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.3307 | + | 17.8933i | −0.356231 | + | 0.617011i | ||||
\(842\) | − | 4.62014i | − | 0.159220i | ||||||
\(843\) | −2.88735 | − | 7.70111i | −0.0994455 | − | 0.265240i | ||||
\(844\) | −3.77532 | −0.129952 | ||||||||
\(845\) | −9.50616 | − | 16.4651i | −0.327022 | − | 0.566418i | ||||
\(846\) | 6.43301 | − | 1.26265i | 0.221172 | − | 0.0434108i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −17.8680 | − | 47.6573i | −0.613227 | − | 1.63559i | ||||
\(850\) | 6.51739 | − | 3.76282i | 0.223545 | − | 0.129064i | ||||
\(851\) | 16.2546 | − | 9.38460i | 0.557200 | − | 0.321700i | ||||
\(852\) | 1.18148 | + | 3.15124i | 0.0404770 | + | 0.107960i | ||||
\(853\) | −8.48739 | + | 4.90020i | −0.290603 | + | 0.167780i | −0.638214 | − | 0.769859i | \(-0.720326\pi\) |
0.347611 | + | 0.937639i | \(0.386993\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −20.4438 | + | 4.01264i | −0.699163 | + | 0.137229i | ||||
\(856\) | 7.16846 | + | 12.4161i | 0.245013 | + | 0.424375i | ||||
\(857\) | 7.70003 | 0.263028 | 0.131514 | − | 0.991314i | \(-0.458016\pi\) | ||||
0.131514 | + | 0.991314i | \(0.458016\pi\) | |||||||
\(858\) | 6.83228 | + | 18.2230i | 0.233250 | + | 0.622123i | ||||
\(859\) | − | 18.9396i | − | 0.646210i | −0.946363 | − | 0.323105i | \(-0.895273\pi\) | ||
0.946363 | − | 0.323105i | \(-0.104727\pi\) | |||||||
\(860\) | −1.83474 | + | 3.17787i | −0.0625642 | + | 0.108364i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 2.00385 | + | 3.47078i | 0.0682515 | + | 0.118215i | ||||
\(863\) | 15.1156 | − | 8.72700i | 0.514541 | − | 0.297070i | −0.220157 | − | 0.975464i | \(-0.570657\pi\) |
0.734698 | + | 0.678394i | \(0.237324\pi\) | |||||||
\(864\) | 0.150252 | + | 5.19398i | 0.00511168 | + | 0.176703i | ||||
\(865\) | 32.6289 | − | 56.5149i | 1.10942 | − | 1.92156i | ||||
\(866\) | 14.7063 | − | 25.4720i | 0.499740 | − | 0.865574i | ||||
\(867\) | −26.6776 | + | 10.0021i | −0.906018 | + | 0.339690i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −12.4215 | − | 7.17157i | −0.421371 | − | 0.243279i | ||||
\(870\) | 3.19458 | − | 19.1977i | 0.108306 | − | 0.650864i | ||||
\(871\) | 38.3101i | 1.29809i | ||||||||
\(872\) | −9.76874 | − | 5.63998i | −0.330811 | − | 0.190994i | ||||
\(873\) | 55.4017 | − | 10.8741i | 1.87506 | − | 0.368032i | ||||
\(874\) | 11.1602i | 0.377498i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −8.29481 | − | 1.38029i | −0.280256 | − | 0.0466356i | ||||
\(877\) | 0.392305 | 0.0132472 | 0.00662360 | − | 0.999978i | \(-0.497892\pi\) | ||||
0.00662360 | + | 0.999978i | \(0.497892\pi\) | |||||||
\(878\) | 10.6885 | + | 18.5130i | 0.360718 | + | 0.624782i | ||||
\(879\) | −8.85976 | − | 7.28984i | −0.298832 | − | 0.245880i | ||||
\(880\) | −13.2926 | − | 7.67448i | −0.448093 | − | 0.258707i | ||||
\(881\) | −37.0259 | −1.24744 | −0.623718 | − | 0.781650i | \(-0.714378\pi\) | ||||
−0.623718 | + | 0.781650i | \(0.714378\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −29.9586 | −1.00819 | −0.504094 | − | 0.863649i | \(-0.668174\pi\) | ||||
−0.504094 | + | 0.863649i | \(0.668174\pi\) | |||||||
\(884\) | −1.83070 | − | 1.05696i | −0.0615732 | − | 0.0355493i | ||||
\(885\) | 0.133373 | − | 0.0500050i | 0.00448328 | − | 0.00168090i | ||||
\(886\) | −2.91693 | − | 5.05227i | −0.0979962 | − | 0.169734i | ||||
\(887\) | −28.9859 | −0.973252 | −0.486626 | − | 0.873610i | \(-0.661773\pi\) | ||||
−0.486626 | + | 0.873610i | \(0.661773\pi\) | |||||||
\(888\) | 1.82513 | + | 4.86799i | 0.0612475 | + | 0.163359i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | − | 36.0569i | − | 1.20863i | ||||||
\(891\) | −21.7546 | + | 28.0553i | −0.728806 | + | 0.939888i | ||||
\(892\) | −11.0662 | − | 6.38910i | −0.370525 | − | 0.213923i | ||||
\(893\) | 3.90010i | 0.130512i | ||||||||
\(894\) | 14.7146 | + | 12.1072i | 0.492130 | + | 0.404926i | ||||
\(895\) | 19.4617 | + | 11.2362i | 0.650533 | + | 0.375586i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 23.8235 | + | 19.6020i | 0.795442 | + | 0.654492i | ||||
\(898\) | 11.2912 | − | 19.5569i | 0.376791 | − | 0.652621i | ||||
\(899\) | −5.07035 | + | 8.78211i | −0.169106 | + | 0.292900i | ||||
\(900\) | −5.85939 | − | 29.8527i | −0.195313 | − | 0.995091i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 20.6976 | + | 35.8493i | 0.689156 | + | 1.19365i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 4.91614 | − | 8.51501i | 0.163508 | − | 0.283205i | ||||
\(905\) | − | 21.5299i | − | 0.715679i | ||||||
\(906\) | 1.58469 | − | 1.92597i | 0.0526479 | − | 0.0639860i | ||||
\(907\) | −3.89546 | −0.129347 | −0.0646733 | − | 0.997906i | \(-0.520601\pi\) | ||||
−0.0646733 | + | 0.997906i | \(0.520601\pi\) | |||||||
\(908\) | −9.99110 | − | 17.3051i | −0.331566 | − | 0.574290i | ||||
\(909\) | −23.5059 | − | 8.04573i | −0.779642 | − | 0.266860i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1.32768 | − | 0.766538i | 0.0439881 | − | 0.0253966i | −0.477845 | − | 0.878444i | \(-0.658582\pi\) |
0.521833 | + | 0.853048i | \(0.325248\pi\) | |||||||
\(912\) | −3.04933 | − | 0.507420i | −0.100973 | − | 0.0168023i | ||||
\(913\) | −27.5339 | + | 15.8967i | −0.911240 | + | 0.526105i | ||||
\(914\) | −34.5218 | + | 19.9311i | −1.14188 | + | 0.659264i | ||||
\(915\) | 10.5732 | − | 12.8502i | 0.349538 | − | 0.424813i | ||||
\(916\) | −8.77402 | + | 5.06568i | −0.289902 | + | 0.167375i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −0.111505 | − | 3.85454i | −0.00368020 | − | 0.127219i | ||||
\(919\) | −14.1266 | − | 24.4679i | −0.465992 | − | 0.807122i | 0.533254 | − | 0.845955i | \(-0.320969\pi\) |
−0.999246 | + | 0.0388335i | \(0.987636\pi\) | |||||||
\(920\) | −24.3316 | −0.802188 | ||||||||
\(921\) | −37.1170 | − | 6.17641i | −1.22305 | − | 0.203520i | ||||
\(922\) | − | 7.36507i | − | 0.242556i | ||||||
\(923\) | −2.76737 | + | 4.79323i | −0.0910892 | + | 0.157771i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −15.2192 | − | 26.3603i | −0.500403 | − | 0.866723i | ||||
\(926\) | −24.8475 | + | 14.3457i | −0.816539 | + | 0.471429i | ||||
\(927\) | −16.5632 | + | 48.3899i | −0.544006 | + | 1.58933i | ||||
\(928\) | 1.44383 | − | 2.50079i | 0.0473961 | − | 0.0820924i | ||||
\(929\) | −1.64363 | + | 2.84685i | −0.0539257 | + | 0.0934021i | −0.891728 | − | 0.452571i | \(-0.850507\pi\) |
0.837802 | + | 0.545974i | \(0.183840\pi\) | |||||||
\(930\) | −3.88498 | + | 23.3467i | −0.127393 | + | 0.765568i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 6.33070 | + | 3.65503i | 0.207369 | + | 0.119725i | ||||
\(933\) | 10.2141 | − | 3.82955i | 0.334396 | − | 0.125374i | ||||
\(934\) | 13.6704i | 0.447308i | ||||||||
\(935\) | 9.86466 | + | 5.69536i | 0.322609 | + | 0.186258i | ||||
\(936\) | −6.43910 | + | 5.61811i | −0.210469 | + | 0.183634i | ||||
\(937\) | − | 35.5084i | − | 1.16001i | −0.814613 | − | 0.580005i | \(-0.803051\pi\) | ||
0.814613 | − | 0.580005i | \(-0.196949\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 24.4520 | − | 29.7180i | 0.797962 | − | 0.969809i | ||||
\(940\) | −8.50307 | −0.277339 | ||||||||
\(941\) | −6.24941 | − | 10.8243i | −0.203725 | − | 0.352862i | 0.746001 | − | 0.665945i | \(-0.231972\pi\) |
−0.949726 | + | 0.313083i | \(0.898638\pi\) | |||||||
\(942\) | −4.72157 | + | 28.3741i | −0.153837 | + | 0.924480i | ||||
\(943\) | 56.8293 | + | 32.8104i | 1.85062 | + | 1.06845i | ||||
\(944\) | 0.0211346 | 0.000687873 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.71994 | −0.120946 | ||||||||
\(947\) | −31.2769 | − | 18.0577i | −1.01636 | − | 0.586796i | −0.103313 | − | 0.994649i | \(-0.532944\pi\) |
−0.913048 | + | 0.407852i | \(0.866278\pi\) | |||||||
\(948\) | 1.03379 | − | 6.21253i | 0.0335759 | − | 0.201774i | ||||
\(949\) | −6.91452 | − | 11.9763i | −0.224455 | − | 0.388767i | ||||
\(950\) | 18.0986 | 0.587197 | ||||||||
\(951\) | 17.2354 | − | 20.9471i | 0.558895 | − | 0.679257i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 45.2925i | 1.46717i | 0.679599 | + | 0.733584i | \(0.262154\pi\) | ||||
−0.679599 | + | 0.733584i | \(0.737846\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 20.9390 | + | 12.0892i | 0.677571 | + | 0.391196i | ||||
\(956\) | 8.40988i | 0.271995i | ||||||||
\(957\) | 18.4736 | − | 6.92623i | 0.597166 | − | 0.223893i | ||||
\(958\) | −9.01596 | − | 5.20537i | −0.291293 | − | 0.168178i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 1.10628 | − | 6.64819i | 0.0357052 | − | 0.214569i | ||||
\(961\) | −9.33386 | + | 16.1667i | −0.301092 | + | 0.521507i | ||||
\(962\) | −4.27499 | + | 7.40449i | −0.137831 | + | 0.238730i | ||||
\(963\) | −42.2055 | + | 8.28395i | −1.36005 | + | 0.266947i | ||||
\(964\) | −7.75277 | + | 4.47607i | −0.249700 | + | 0.144164i | ||||
\(965\) | 15.1859 | + | 26.3028i | 0.488851 | + | 0.846716i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 12.0000 | − | 20.7845i | 0.385893 | − | 0.668385i | −0.606000 | − | 0.795465i | \(-0.707227\pi\) |
0.991893 | + | 0.127079i | \(0.0405602\pi\) | |||||||
\(968\) | − | 4.56002i | − | 0.146565i | ||||||
\(969\) | 2.26296 | + | 0.376565i | 0.0726967 | + | 0.0120970i | ||||
\(970\) | −73.2292 | −2.35125 | ||||||||
\(971\) | −16.6813 | − | 28.8928i | −0.535328 | − | 0.927215i | −0.999147 | − | 0.0412855i | \(-0.986855\pi\) |
0.463819 | − | 0.885930i | \(-0.346479\pi\) | |||||||
\(972\) | −14.8882 | − | 4.61960i | −0.477540 | − | 0.148174i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −2.02520 | + | 1.16925i | −0.0648917 | + | 0.0374652i | ||||
\(975\) | 31.7889 | − | 38.6349i | 1.01806 | − | 1.23731i | ||||
\(976\) | 2.13832 | − | 1.23456i | 0.0684458 | − | 0.0395172i | ||||
\(977\) | 29.8846 | − | 17.2539i | 0.956091 | − | 0.552000i | 0.0611236 | − | 0.998130i | \(-0.480532\pi\) |
0.894968 | + | 0.446131i | \(0.147198\pi\) | |||||||
\(978\) | −21.1784 | − | 3.52416i | −0.677209 | − | 0.112690i | ||||
\(979\) | 31.6555 | − | 18.2763i | 1.01172 | − | 0.584114i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 25.4987 | − | 22.2476i | 0.814111 | − | 0.710311i | ||||
\(982\) | −16.9422 | − | 29.3448i | −0.540648 | − | 0.936429i | ||||
\(983\) | −2.41302 | −0.0769633 | −0.0384817 | − | 0.999259i | \(-0.512252\pi\) | ||||
−0.0384817 | + | 0.999259i | \(0.512252\pi\) | |||||||
\(984\) | −11.5487 | + | 14.0359i | −0.368161 | + | 0.447447i | ||||
\(985\) | 49.7041i | 1.58370i | ||||||||
\(986\) | −1.07149 | + | 1.85588i | −0.0341232 | + | 0.0591032i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.54191 | − | 4.40271i | −0.0808688 | − | 0.140069i | ||||
\(989\) | −5.10691 | + | 2.94847i | −0.162390 | + | 0.0937560i | ||||
\(990\) | 34.6968 | − | 30.2729i | 1.10274 | − | 0.962136i | ||||
\(991\) | −24.2991 | + | 42.0873i | −0.771887 | + | 1.33695i | 0.164641 | + | 0.986354i | \(0.447353\pi\) |
−0.936528 | + | 0.350594i | \(0.885980\pi\) | |||||||
\(992\) | −1.75587 | + | 3.04125i | −0.0557488 | + | 0.0965598i | ||||
\(993\) | −1.70164 | − | 1.40012i | −0.0540000 | − | 0.0444314i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 6.10612 | + | 3.52537i | 0.193577 | + | 0.111762i | ||||
\(996\) | −10.7802 | − | 8.86997i | −0.341583 | − | 0.281056i | ||||
\(997\) | − | 44.8542i | − | 1.42055i | −0.703926 | − | 0.710274i | \(-0.748571\pi\) | ||
0.703926 | − | 0.710274i | \(-0.251429\pi\) | |||||||
\(998\) | −14.3799 | − | 8.30223i | −0.455187 | − | 0.262802i | ||||
\(999\) | −15.5901 | + | 0.450993i | −0.493250 | + | 0.0142688i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))