Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(289,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.bs (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.67124851824\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 8x^{10} + 54x^{8} - 78x^{6} + 92x^{4} - 10x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 334.6 | ||
Root | \(2.20467 - 1.27287i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 585.334 |
Dual form | 585.2.bs.a.289.6 |
$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.20467 | + | 1.27287i | 1.55894 | + | 0.900055i | 0.997359 | + | 0.0726333i | \(0.0231403\pi\) |
0.561582 | + | 0.827421i | \(0.310193\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 2.24039 | + | 3.88048i | 1.12020 | + | 1.94024i | ||||
\(5\) | 0.817544 | − | 2.08125i | 0.365617 | − | 0.930765i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.54486 | − | 1.46928i | 0.961867 | − | 0.555334i | 0.0651198 | − | 0.997877i | \(-0.479257\pi\) |
0.896747 | + | 0.442543i | \(0.145924\pi\) | |||||||
\(8\) | 6.31544i | 2.23284i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 4.45158 | − | 3.54786i | 1.40771 | − | 1.12193i | ||||
\(11\) | −0.317544 | + | 0.550003i | −0.0957433 | + | 0.165832i | −0.909919 | − | 0.414787i | \(-0.863856\pi\) |
0.814175 | + | 0.580619i | \(0.197189\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.60484 | + | 0.0716710i | −0.999802 | + | 0.0198779i | ||||
\(14\) | 7.48079 | 1.99932 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.55794 | + | 6.16253i | −0.889484 | + | 1.54063i | ||||
\(17\) | −1.05998 | + | 0.611979i | −0.257082 | + | 0.148427i | −0.623003 | − | 0.782220i | \(-0.714088\pi\) |
0.365920 | + | 0.930646i | \(0.380754\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.682456 | + | 1.18205i | 0.156566 | + | 0.271180i | 0.933628 | − | 0.358244i | \(-0.116624\pi\) |
−0.777062 | + | 0.629424i | \(0.783291\pi\) | |||||||
\(20\) | 9.90788 | − | 1.49037i | 2.21547 | − | 0.333256i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.40016 | + | 0.808385i | −0.298516 | + | 0.172348i | ||||
\(23\) | 1.86449 | + | 1.07646i | 0.388773 | + | 0.224458i | 0.681628 | − | 0.731699i | \(-0.261272\pi\) |
−0.292856 | + | 0.956157i | \(0.594606\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.66324 | − | 3.40304i | −0.732648 | − | 0.680607i | ||||
\(26\) | −8.03872 | − | 4.43048i | −1.57652 | − | 0.868888i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 11.4030 | + | 6.58351i | 2.15496 | + | 1.24417i | ||||
\(29\) | −1.50000 | + | 2.59808i | −0.278543 | + | 0.482451i | −0.971023 | − | 0.238987i | \(-0.923185\pi\) |
0.692480 | + | 0.721437i | \(0.256518\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.96157 | −1.60955 | −0.804773 | − | 0.593583i | \(-0.797713\pi\) | ||||
−0.804773 | + | 0.593583i | \(0.797713\pi\) | |||||||
\(32\) | −4.74954 | + | 2.74215i | −0.839607 | + | 0.484747i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.11588 | −0.534368 | ||||||||
\(35\) | −0.977401 | − | 6.49770i | −0.165211 | − | 1.09831i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.05998 | + | 0.611979i | 0.174259 | + | 0.100609i | 0.584593 | − | 0.811327i | \(-0.301254\pi\) |
−0.410333 | + | 0.911936i | \(0.634588\pi\) | |||||||
\(38\) | 3.47471i | 0.563672i | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 13.1440 | + | 5.16315i | 2.07825 | + | 0.816366i | ||||
\(41\) | −4.98079 | + | 8.62698i | −0.777868 | + | 1.34731i | 0.155300 | + | 0.987867i | \(0.450366\pi\) |
−0.933168 | + | 0.359440i | \(0.882968\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.18412 | + | 0.683650i | −0.180576 | + | 0.104256i | −0.587563 | − | 0.809178i | \(-0.699913\pi\) |
0.406987 | + | 0.913434i | \(0.366579\pi\) | |||||||
\(44\) | −2.84570 | −0.429005 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.74039 | + | 4.74650i | 0.404049 | + | 0.699833i | ||||
\(47\) | − | 6.16379i | − | 0.899081i | −0.893260 | − | 0.449540i | \(-0.851588\pi\) | ||
0.893260 | − | 0.449540i | \(-0.148412\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.817544 | − | 1.41603i | 0.116792 | − | 0.202290i | ||||
\(50\) | −3.74464 | − | 12.1654i | −0.529571 | − | 1.72045i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −8.35437 | − | 13.8279i | −1.15854 | − | 1.91759i | ||||
\(53\) | − | 0.642285i | − | 0.0882246i | −0.999027 | − | 0.0441123i | \(-0.985954\pi\) | ||
0.999027 | − | 0.0441123i | \(-0.0140459\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.885090 | + | 1.11054i | 0.119345 | + | 0.149746i | ||||
\(56\) | 9.27912 | + | 16.0719i | 1.23997 | + | 2.14770i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.61402 | + | 3.81861i | −0.868464 | + | 0.501408i | ||||
\(59\) | −3.79833 | − | 6.57890i | −0.494501 | − | 0.856500i | 0.505479 | − | 0.862839i | \(-0.331316\pi\) |
−0.999980 | + | 0.00633858i | \(0.997982\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.13509 | + | 1.96603i | 0.145333 | + | 0.251725i | 0.929497 | − | 0.368829i | \(-0.120241\pi\) |
−0.784164 | + | 0.620554i | \(0.786908\pi\) | |||||||
\(62\) | −19.7574 | − | 11.4069i | −2.50919 | − | 1.44868i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.270178 | 0.0337722 | ||||||||
\(65\) | −2.79795 | + | 7.56118i | −0.347043 | + | 0.937849i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.95421 | + | 4.01502i | 0.849592 | + | 0.490512i | 0.860513 | − | 0.509428i | \(-0.170143\pi\) |
−0.0109212 | + | 0.999940i | \(0.503476\pi\) | |||||||
\(68\) | −4.74954 | − | 2.74215i | −0.575966 | − | 0.332534i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 6.11588 | − | 15.5694i | 0.730987 | − | 1.86090i | ||||
\(71\) | 1.31754 | + | 2.28205i | 0.156364 | + | 0.270830i | 0.933555 | − | 0.358435i | \(-0.116689\pi\) |
−0.777191 | + | 0.629265i | \(0.783356\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 10.3263i | − | 1.20860i | −0.796756 | − | 0.604301i | \(-0.793453\pi\) | ||
0.796756 | − | 0.604301i | \(-0.206547\pi\) | |||||||
\(74\) | 1.55794 | + | 2.69843i | 0.181107 | + | 0.313686i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.05794 | + | 5.29650i | −0.350770 | + | 0.607551i | ||||
\(77\) | 1.86624i | 0.212678i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.03843 | −0.116832 | −0.0584161 | − | 0.998292i | \(-0.518605\pi\) | ||||
−0.0584161 | + | 0.998292i | \(0.518605\pi\) | |||||||
\(80\) | 9.91702 | + | 12.4431i | 1.10876 | + | 1.39118i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −21.9620 | + | 12.6798i | −2.42530 | + | 1.40025i | ||||
\(83\) | − | 11.8452i | − | 1.30018i | −0.759855 | − | 0.650092i | \(-0.774730\pi\) | ||
0.759855 | − | 0.650092i | \(-0.225270\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.407104 | + | 2.70640i | 0.0441566 | + | 0.293551i | ||||
\(86\) | −3.48079 | −0.375343 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.47351 | − | 2.00543i | −0.370277 | − | 0.213780i | ||||
\(89\) | 6.27912 | − | 10.8758i | 0.665585 | − | 1.15283i | −0.313541 | − | 0.949575i | \(-0.601515\pi\) |
0.979126 | − | 0.203253i | \(-0.0651513\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −9.06851 | + | 5.47890i | −0.950638 | + | 0.574344i | ||||
\(92\) | 9.64680i | 1.00575i | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 7.84570 | − | 13.5891i | 0.809222 | − | 1.40161i | ||||
\(95\) | 3.01808 | − | 0.453987i | 0.309648 | − | 0.0465781i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.8031 | − | 7.39190i | 1.29996 | − | 0.750534i | 0.319565 | − | 0.947564i | \(-0.396463\pi\) |
0.980397 | + | 0.197031i | \(0.0631299\pi\) | |||||||
\(98\) | 3.60484 | − | 2.08125i | 0.364144 | − | 0.210238i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.99829 | − | 21.8393i | 0.499829 | − | 2.18393i | ||||
\(101\) | 6.61588 | − | 11.4590i | 0.658304 | − | 1.14022i | −0.322750 | − | 0.946484i | \(-0.604607\pi\) |
0.981054 | − | 0.193732i | \(-0.0620593\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 10.9686i | 1.08077i | 0.841419 | + | 0.540383i | \(0.181721\pi\) | ||||
−0.841419 | + | 0.540383i | \(0.818279\pi\) | |||||||
\(104\) | −0.452633 | − | 22.7661i | −0.0443843 | − | 2.23240i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.817544 | − | 1.41603i | 0.0794069 | − | 0.137537i | ||||
\(107\) | 9.24360 | + | 5.33680i | 0.893613 | + | 0.515928i | 0.875123 | − | 0.483901i | \(-0.160781\pi\) |
0.0184903 | + | 0.999829i | \(0.494114\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.27018 | 0.313226 | 0.156613 | − | 0.987660i | \(-0.449942\pi\) | ||||
0.156613 | + | 0.987660i | \(0.449942\pi\) | |||||||
\(110\) | 0.537759 | + | 3.57499i | 0.0512733 | + | 0.340862i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 20.9104i | 1.97584i | ||||||||
\(113\) | 4.78895 | − | 2.76490i | 0.450507 | − | 0.260100i | −0.257537 | − | 0.966268i | \(-0.582911\pi\) |
0.708044 | + | 0.706168i | \(0.249578\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.76470 | − | 3.00042i | 0.351060 | − | 0.279790i | ||||
\(116\) | −13.4424 | −1.24809 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 19.3391i | − | 1.78031i | ||||||
\(119\) | −1.79833 | + | 3.11480i | −0.164853 | + | 0.285533i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.29833 | + | 9.17698i | 0.481666 | + | 0.834271i | ||||
\(122\) | 5.77928i | 0.523231i | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −20.0774 | − | 34.7752i | −1.80301 | − | 3.12290i | ||||
\(125\) | −10.0774 | + | 4.84201i | −0.901354 | + | 0.433082i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −14.9231 | − | 8.61586i | −1.32421 | − | 0.764534i | −0.339813 | − | 0.940493i | \(-0.610364\pi\) |
−0.984397 | + | 0.175959i | \(0.943697\pi\) | |||||||
\(128\) | 10.0947 | + | 5.82819i | 0.892256 | + | 0.515144i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −15.7930 | + | 13.1085i | −1.38513 | + | 1.14969i | ||||
\(131\) | −10.0000 | −0.873704 | −0.436852 | − | 0.899533i | \(-0.643907\pi\) | ||||
−0.436852 | + | 0.899533i | \(0.643907\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.47351 | + | 2.00543i | 0.301191 | + | 0.173893i | ||||
\(134\) | 10.2212 | + | 17.7036i | 0.882975 | + | 1.52936i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.86491 | − | 6.69422i | −0.331413 | − | 0.574025i | ||||
\(137\) | −7.51044 | + | 4.33616i | −0.641661 | + | 0.370463i | −0.785254 | − | 0.619174i | \(-0.787468\pi\) |
0.143593 | + | 0.989637i | \(0.454134\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.16324 | + | 12.4071i | 0.607578 | + | 1.05236i | 0.991638 | + | 0.129048i | \(0.0411922\pi\) |
−0.384060 | + | 0.923308i | \(0.625474\pi\) | |||||||
\(140\) | 23.0244 | − | 18.3502i | 1.94592 | − | 1.55087i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.70825i | 0.562944i | ||||||||
\(143\) | 1.10528 | − | 2.00543i | 0.0924279 | − | 0.167703i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.18094 | + | 5.24592i | 0.347208 | + | 0.435650i | ||||
\(146\) | 13.1440 | − | 22.7661i | 1.08781 | − | 1.88414i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.48429i | 0.450806i | ||||||||
\(149\) | 8.57745 | + | 14.8566i | 0.702692 | + | 1.21710i | 0.967518 | + | 0.252802i | \(0.0813521\pi\) |
−0.264826 | + | 0.964296i | \(0.585315\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −21.3828 | −1.74011 | −0.870053 | − | 0.492957i | \(-0.835916\pi\) | ||||
−0.870053 | + | 0.492957i | \(0.835916\pi\) | |||||||
\(152\) | −7.46515 | + | 4.31000i | −0.605503 | + | 0.349587i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.37548 | + | 4.11446i | −0.191422 | + | 0.331552i | ||||
\(155\) | −7.32648 | + | 18.6513i | −0.588477 | + | 1.49811i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 18.3646i | 1.46566i | 0.680413 | + | 0.732829i | \(0.261800\pi\) | ||||
−0.680413 | + | 0.732829i | \(0.738200\pi\) | |||||||
\(158\) | −2.28939 | − | 1.32178i | −0.182134 | − | 0.105155i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.82415 | + | 12.1268i | 0.144211 | + | 0.958709i | ||||
\(161\) | 6.32648 | 0.498597 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.47351 | + | 2.00543i | −0.272066 | + | 0.157078i | −0.629826 | − | 0.776736i | \(-0.716874\pi\) |
0.357760 | + | 0.933814i | \(0.383541\pi\) | |||||||
\(164\) | −44.6357 | −3.48546 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 15.0774 | − | 26.1149i | 1.17024 | − | 2.02691i | ||||
\(167\) | −2.54486 | − | 1.46928i | −0.196927 | − | 0.113696i | 0.398294 | − | 0.917258i | \(-0.369602\pi\) |
−0.595221 | + | 0.803562i | \(0.702936\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.9897 | − | 0.516725i | 0.999210 | − | 0.0397480i | ||||
\(170\) | −2.54737 | + | 6.48493i | −0.195374 | + | 0.497371i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.30577 | − | 3.06329i | −0.404561 | − | 0.233574i | ||||
\(173\) | −1.18412 | + | 0.683650i | −0.0900267 | + | 0.0519769i | −0.544337 | − | 0.838866i | \(-0.683219\pi\) |
0.454311 | + | 0.890843i | \(0.349886\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −14.3224 | − | 3.27794i | −1.08267 | − | 0.247789i | ||||
\(176\) | −2.25961 | − | 3.91375i | −0.170324 | − | 0.295010i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 27.6868 | − | 15.9850i | 2.07522 | − | 1.19813i | ||||
\(179\) | −3.89306 | + | 6.74299i | −0.290981 | + | 0.503994i | −0.974042 | − | 0.226367i | \(-0.927315\pi\) |
0.683061 | + | 0.730362i | \(0.260648\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.86684 | −0.287420 | −0.143710 | − | 0.989620i | \(-0.545903\pi\) | ||||
−0.143710 | + | 0.989620i | \(0.545903\pi\) | |||||||
\(182\) | −26.9670 | + | 0.536155i | −1.99893 | + | 0.0397425i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −6.79833 | + | 11.7751i | −0.501180 | + | 0.868069i | ||||
\(185\) | 2.14026 | − | 1.70576i | 0.157355 | − | 0.125410i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 0.777322i | − | 0.0568434i | ||||||
\(188\) | 23.9184 | − | 13.8093i | 1.74443 | − | 1.00715i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 7.23175 | + | 2.84073i | 0.524646 | + | 0.206088i | ||||
\(191\) | 2.47185 | + | 4.28136i | 0.178857 | + | 0.309789i | 0.941489 | − | 0.337043i | \(-0.109427\pi\) |
−0.762633 | + | 0.646832i | \(0.776094\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.29240 | − | 2.47822i | −0.308974 | − | 0.178386i | 0.337493 | − | 0.941328i | \(-0.390421\pi\) |
−0.646467 | + | 0.762942i | \(0.723754\pi\) | |||||||
\(194\) | 37.6357 | 2.70208 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.32648 | 0.523320 | ||||||||
\(197\) | −5.84174 | − | 3.37273i | −0.416207 | − | 0.240297i | 0.277246 | − | 0.960799i | \(-0.410578\pi\) |
−0.693453 | + | 0.720502i | \(0.743912\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.58772 | + | 4.48207i | 0.183439 | + | 0.317725i | 0.943049 | − | 0.332653i | \(-0.107944\pi\) |
−0.759611 | + | 0.650378i | \(0.774610\pi\) | |||||||
\(200\) | 21.4917 | − | 23.1350i | 1.51969 | − | 1.63589i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 29.1717 | − | 16.8423i | 2.05251 | − | 1.18502i | ||||
\(203\) | 8.81566i | 0.618738i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 13.8829 | + | 17.4192i | 0.969625 | + | 1.21661i | ||||
\(206\) | −13.9616 | + | 24.1822i | −0.972749 | + | 1.68485i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 12.3841 | − | 22.4699i | 0.858684 | − | 1.55801i | ||||
\(209\) | −0.866840 | −0.0599606 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.00894 | − | 12.1398i | 0.482515 | − | 0.835741i | −0.517283 | − | 0.855814i | \(-0.673057\pi\) |
0.999799 | + | 0.0200732i | \(0.00638994\pi\) | |||||||
\(212\) | 2.49237 | − | 1.43897i | 0.171177 | − | 0.0988289i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 13.5861 | + | 23.5318i | 0.928726 | + | 1.60860i | ||||
\(215\) | 0.454782 | + | 3.02336i | 0.0310158 | + | 0.206191i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −22.8060 | + | 13.1670i | −1.54817 | + | 0.893836i | ||||
\(218\) | 7.20968 | + | 4.16251i | 0.488301 | + | 0.281921i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.32648 | + | 5.92262i | −0.156852 | + | 0.399303i | ||||
\(221\) | 3.77719 | − | 2.28205i | 0.254081 | − | 0.153508i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.00719226 | + | 0.00415245i | 0.000481629 | + | 0.000278069i | 0.500241 | − | 0.865886i | \(-0.333245\pi\) |
−0.499759 | + | 0.866164i | \(0.666578\pi\) | |||||||
\(224\) | −8.05794 | + | 13.9568i | −0.538394 | + | 0.932525i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 14.0774 | 0.936418 | ||||||||
\(227\) | 9.75454 | − | 5.63179i | 0.647431 | − | 0.373795i | −0.140040 | − | 0.990146i | \(-0.544723\pi\) |
0.787471 | + | 0.616351i | \(0.211390\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 16.5404 | 1.09302 | 0.546509 | − | 0.837453i | \(-0.315957\pi\) | ||||
0.546509 | + | 0.837453i | \(0.315957\pi\) | |||||||
\(230\) | 12.1191 | − | 1.82298i | 0.799108 | − | 0.120204i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −16.4080 | − | 9.47315i | −1.07724 | − | 0.621943i | ||||
\(233\) | − | 6.94941i | − | 0.455271i | −0.973746 | − | 0.227636i | \(-0.926900\pi\) | ||
0.973746 | − | 0.227636i | \(-0.0730995\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −12.8284 | − | 5.03917i | −0.836833 | − | 0.328719i | ||||
\(236\) | 17.0195 | − | 29.4787i | 1.10788 | − | 1.91890i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −7.92947 | + | 4.57808i | −0.513991 | + | 0.296753i | ||||
\(239\) | 4.00000 | 0.258738 | 0.129369 | − | 0.991596i | \(-0.458705\pi\) | ||||
0.129369 | + | 0.991596i | \(0.458705\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −9.88605 | − | 17.1231i | −0.636817 | − | 1.10300i | −0.986127 | − | 0.165992i | \(-0.946917\pi\) |
0.349310 | − | 0.937007i | \(-0.386416\pi\) | |||||||
\(242\) | 26.9763i | 1.73410i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −5.08609 | + | 8.80937i | −0.325604 | + | 0.563962i | ||||
\(245\) | −2.27874 | − | 2.85918i | −0.145583 | − | 0.182667i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.54486 | − | 4.21218i | −0.161926 | − | 0.268015i | ||||
\(248\) | − | 56.5962i | − | 3.59386i | ||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −28.3807 | − | 2.15223i | −1.79496 | − | 0.136119i | ||||
\(251\) | 1.83676 | + | 3.18136i | 0.115935 | + | 0.200806i | 0.918153 | − | 0.396226i | \(-0.129680\pi\) |
−0.802218 | + | 0.597031i | \(0.796347\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.18412 | + | 0.683650i | −0.0744447 | + | 0.0429807i | ||||
\(254\) | −21.9337 | − | 37.9903i | −1.37624 | − | 2.38372i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.5669 | + | 25.2306i | 0.910430 | + | 1.57691i | ||||
\(257\) | 11.4877 | + | 6.63242i | 0.716583 | + | 0.413719i | 0.813494 | − | 0.581574i | \(-0.197563\pi\) |
−0.0969108 | + | 0.995293i | \(0.530896\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.59666 | 0.223486 | ||||||||
\(260\) | −35.6095 | + | 6.08264i | −2.20841 | + | 0.377230i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −22.0467 | − | 12.7287i | −1.36205 | − | 0.786381i | ||||
\(263\) | −26.2150 | − | 15.1352i | −1.61649 | − | 0.933279i | −0.987819 | − | 0.155605i | \(-0.950267\pi\) |
−0.628667 | − | 0.777674i | \(-0.716399\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.33676 | − | 0.525096i | −0.0821164 | − | 0.0322564i | ||||
\(266\) | 5.10530 | + | 8.84265i | 0.313026 | + | 0.542177i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 35.9809i | 2.19788i | ||||||||
\(269\) | 11.1248 | + | 19.2687i | 0.678292 | + | 1.17484i | 0.975495 | + | 0.220022i | \(0.0706129\pi\) |
−0.297203 | + | 0.954814i | \(0.596054\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.91421 | − | 10.2437i | 0.359262 | − | 0.622261i | −0.628575 | − | 0.777749i | \(-0.716362\pi\) |
0.987838 | + | 0.155488i | \(0.0496950\pi\) | |||||||
\(272\) | − | 8.70953i | − | 0.528093i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −22.0774 | −1.33375 | ||||||||
\(275\) | 3.03492 | − | 0.934179i | 0.183013 | − | 0.0563331i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 14.5363 | − | 8.39254i | 0.873402 | − | 0.504259i | 0.00492452 | − | 0.999988i | \(-0.498432\pi\) |
0.868477 | + | 0.495729i | \(0.165099\pi\) | |||||||
\(278\) | 36.4715i | 2.18741i | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 41.0358 | − | 6.17271i | 2.45236 | − | 0.368890i | ||||
\(281\) | 10.5967 | 0.632144 | 0.316072 | − | 0.948735i | \(-0.397636\pi\) | ||||
0.316072 | + | 0.948735i | \(0.397636\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.63458 | − | 4.40783i | −0.453829 | − | 0.262018i | 0.255617 | − | 0.966778i | \(-0.417721\pi\) |
−0.709446 | + | 0.704760i | \(0.751055\pi\) | |||||||
\(284\) | −5.90364 | + | 10.2254i | −0.350316 | + | 0.606766i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 4.98943 | − | 3.01445i | 0.295031 | − | 0.178248i | ||||
\(287\) | 29.2726i | 1.72791i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −7.75096 | + | 13.4251i | −0.455939 | + | 0.789710i | ||||
\(290\) | 2.54024 | + | 16.8873i | 0.149168 | + | 0.991659i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 40.0709 | − | 23.1350i | 2.34497 | − | 1.35387i | ||||
\(293\) | −24.4675 | + | 14.1263i | −1.42940 | + | 0.825267i | −0.997074 | − | 0.0764476i | \(-0.975642\pi\) |
−0.432331 | + | 0.901715i | \(0.642309\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −16.7977 | + | 2.52675i | −0.977999 | + | 0.147113i | ||||
\(296\) | −3.86491 | + | 6.69422i | −0.224643 | + | 0.389094i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 43.6719i | 2.52984i | ||||||||
\(299\) | −6.79833 | − | 3.74685i | −0.393158 | − | 0.216686i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.00894 | + | 3.47959i | −0.115793 | + | 0.200560i | ||||
\(302\) | −47.1421 | − | 27.2175i | −2.71272 | − | 1.56619i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −9.71254 | −0.557052 | ||||||||
\(305\) | 5.01980 | − | 0.755091i | 0.287433 | − | 0.0432364i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 12.7219i | 0.726077i | 0.931774 | + | 0.363039i | \(0.118261\pi\) | ||||
−0.931774 | + | 0.363039i | \(0.881739\pi\) | |||||||
\(308\) | −7.24190 | + | 4.18112i | −0.412646 | + | 0.238241i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −39.8932 | + | 31.7944i | −2.26578 | + | 1.80580i | ||||
\(311\) | −27.9231 | −1.58338 | −0.791688 | − | 0.610925i | \(-0.790798\pi\) | ||||
−0.791688 | + | 0.610925i | \(0.790798\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 24.5807i | − | 1.38938i | −0.719307 | − | 0.694692i | \(-0.755540\pi\) | ||
0.719307 | − | 0.694692i | \(-0.244460\pi\) | |||||||
\(314\) | −23.3758 | + | 40.4880i | −1.31917 | + | 2.28487i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.32648 | − | 4.02959i | −0.130875 | − | 0.226682i | ||||
\(317\) | 0.234377i | 0.0131639i | 0.999978 | + | 0.00658196i | \(0.00209512\pi\) | ||||
−0.999978 | + | 0.00658196i | \(0.997905\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.952633 | − | 1.65001i | −0.0533372 | − | 0.0923828i | ||||
\(320\) | 0.220882 | − | 0.562309i | 0.0123477 | − | 0.0314340i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 13.9478 | + | 8.05279i | 0.777283 | + | 0.448764i | ||||
\(323\) | −1.44678 | − | 0.835296i | −0.0805008 | − | 0.0464771i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 13.4493 | + | 12.0048i | 0.746033 | + | 0.665909i | ||||
\(326\) | −10.2106 | −0.565513 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −54.4831 | − | 31.4558i | −3.00833 | − | 1.73686i | ||||
\(329\) | −9.05631 | − | 15.6860i | −0.499290 | − | 0.864796i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.16324 | + | 15.8712i | 0.503657 | + | 0.872360i | 0.999991 | + | 0.00422829i | \(0.00134591\pi\) |
−0.496334 | + | 0.868132i | \(0.665321\pi\) | |||||||
\(332\) | 45.9652 | − | 26.5380i | 2.52267 | − | 1.45646i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3.74039 | − | 6.47855i | −0.204665 | − | 0.354491i | ||||
\(335\) | 14.0416 | − | 11.1910i | 0.767177 | − | 0.611431i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 21.2949i | − | 1.16001i | −0.814614 | − | 0.580003i | \(-0.803051\pi\) | ||
0.814614 | − | 0.580003i | \(-0.196949\pi\) | |||||||
\(338\) | 29.2958 | + | 15.3950i | 1.59348 | + | 0.837379i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −9.59006 | + | 7.64317i | −0.520094 | + | 0.414509i | ||||
\(341\) | 2.84570 | − | 4.92889i | 0.154103 | − | 0.266915i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.7651i | 0.851234i | ||||||||
\(344\) | −4.31754 | − | 7.47821i | −0.232786 | − | 0.403198i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −3.48079 | −0.187128 | ||||||||
\(347\) | 3.30407 | − | 1.90761i | 0.177372 | − | 0.102406i | −0.408685 | − | 0.912675i | \(-0.634013\pi\) |
0.586057 | + | 0.810270i | \(0.300679\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 12.1632 | − | 21.0674i | 0.651083 | − | 1.12771i | −0.331777 | − | 0.943358i | \(-0.607648\pi\) |
0.982860 | − | 0.184352i | \(-0.0590185\pi\) | |||||||
\(350\) | −27.4039 | − | 25.4574i | −1.46480 | − | 1.36075i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | − | 3.48301i | − | 0.185645i | ||||||
\(353\) | 23.4338 | + | 13.5295i | 1.24726 | + | 0.720104i | 0.970562 | − | 0.240853i | \(-0.0774272\pi\) |
0.276696 | + | 0.960958i | \(0.410761\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5.82669 | − | 0.876465i | 0.309248 | − | 0.0465179i | ||||
\(356\) | 56.2708 | 2.98235 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −17.1659 | + | 9.91073i | −0.907245 | + | 0.523798i | ||||
\(359\) | 27.0039 | 1.42521 | 0.712605 | − | 0.701566i | \(-0.247515\pi\) | ||||
0.712605 | + | 0.701566i | \(0.247515\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.56851 | − | 14.8411i | 0.450974 | − | 0.781110i | ||||
\(362\) | −8.52512 | − | 4.92198i | −0.448071 | − | 0.258694i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −41.5777 | − | 22.9152i | −2.17927 | − | 1.20108i | ||||
\(365\) | −21.4917 | − | 8.44221i | −1.12492 | − | 0.441885i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.01118 | + | 3.47055i | 0.313781 | + | 0.181161i | 0.648617 | − | 0.761115i | \(-0.275348\pi\) |
−0.334836 | + | 0.942276i | \(0.608681\pi\) | |||||||
\(368\) | −13.2675 | + | 7.65998i | −0.691615 | + | 0.399304i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 6.88980 | − | 1.03638i | 0.358184 | − | 0.0538789i | ||||
\(371\) | −0.943693 | − | 1.63452i | −0.0489941 | − | 0.0848603i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.00301 | + | 1.15644i | −0.103712 | + | 0.0598781i | −0.550959 | − | 0.834532i | \(-0.685738\pi\) |
0.447247 | + | 0.894411i | \(0.352405\pi\) | |||||||
\(374\) | 0.989429 | − | 1.71374i | 0.0511622 | − | 0.0886154i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 38.9270 | 2.00751 | ||||||||
\(377\) | 5.22105 | − | 9.47315i | 0.268898 | − | 0.487892i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.58772 | − | 4.48207i | 0.132922 | − | 0.230228i | −0.791880 | − | 0.610677i | \(-0.790897\pi\) |
0.924802 | + | 0.380449i | \(0.124231\pi\) | |||||||
\(380\) | 8.52337 | + | 10.6945i | 0.437240 | + | 0.548615i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 12.5854i | 0.643923i | ||||||||
\(383\) | −17.8929 | + | 10.3305i | −0.914283 | + | 0.527861i | −0.881807 | − | 0.471611i | \(-0.843673\pi\) |
−0.0324760 | + | 0.999473i | \(0.510339\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.88412 | + | 1.52574i | 0.197953 | + | 0.0777587i | ||||
\(386\) | −6.30890 | − | 10.9273i | −0.321115 | − | 0.556187i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 57.3682 | + | 33.1215i | 2.91243 | + | 1.68149i | ||||
\(389\) | 19.7477 | 1.00125 | 0.500624 | − | 0.865665i | \(-0.333104\pi\) | ||||
0.500624 | + | 0.865665i | \(0.333104\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.63509 | −0.133262 | ||||||||
\(392\) | 8.94284 | + | 5.16315i | 0.451681 | + | 0.260778i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −8.58609 | − | 14.8715i | −0.432561 | − | 0.749218i | ||||
\(395\) | −0.848960 | + | 2.16123i | −0.0427158 | + | 0.108743i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.13113 | + | 4.69451i | −0.408090 | + | 0.235611i | −0.689969 | − | 0.723839i | \(-0.742376\pi\) |
0.281879 | + | 0.959450i | \(0.409042\pi\) | |||||||
\(398\) | 13.1753i | 0.660420i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 34.0049 | − | 10.4670i | 1.70024 | − | 0.523352i | ||||
\(401\) | 12.2510 | − | 21.2193i | 0.611784 | − | 1.05964i | −0.379156 | − | 0.925333i | \(-0.623786\pi\) |
0.990940 | − | 0.134308i | \(-0.0428812\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 32.3050 | − | 0.642285i | 1.60923 | − | 0.0319945i | ||||
\(404\) | 59.2887 | 2.94972 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −11.2212 | + | 19.4357i | −0.556898 | + | 0.964575i | ||||
\(407\) | −0.673180 | + | 0.388661i | −0.0333683 | + | 0.0192652i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 18.0582 | + | 31.2778i | 0.892922 | + | 1.54659i | 0.836355 | + | 0.548188i | \(0.184682\pi\) |
0.0565671 | + | 0.998399i | \(0.481985\pi\) | |||||||
\(410\) | 8.43492 | + | 56.0749i | 0.416571 | + | 2.76934i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −42.5633 | + | 24.5739i | −2.09694 | + | 1.21067i | ||||
\(413\) | −19.3324 | − | 11.1616i | −0.951288 | − | 0.549226i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −24.6530 | − | 9.68401i | −1.21017 | − | 0.475370i | ||||
\(416\) | 16.9248 | − | 10.2254i | 0.829805 | − | 0.501341i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.91110 | − | 1.10337i | −0.0934749 | − | 0.0539678i | ||||
\(419\) | 3.43342 | − | 5.94686i | 0.167734 | − | 0.290523i | −0.769889 | − | 0.638178i | \(-0.779689\pi\) |
0.937623 | + | 0.347655i | \(0.113022\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 33.9795 | 1.65606 | 0.828029 | − | 0.560686i | \(-0.189462\pi\) | ||||
0.828029 | + | 0.560686i | \(0.189462\pi\) | |||||||
\(422\) | 30.9049 | − | 17.8429i | 1.50443 | − | 0.868580i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 4.05631 | 0.196992 | ||||||||
\(425\) | 5.96554 | + | 1.36532i | 0.289371 | + | 0.0662277i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.77729 | + | 3.33552i | 0.279582 | + | 0.161417i | ||||
\(428\) | 47.8261i | 2.31176i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.84570 | + | 7.24440i | −0.137232 | + | 0.349356i | ||||
\(431\) | −8.12482 | + | 14.0726i | −0.391359 | + | 0.677853i | −0.992629 | − | 0.121193i | \(-0.961328\pi\) |
0.601270 | + | 0.799046i | \(0.294661\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.221929 | + | 0.128130i | −0.0106652 | + | 0.00615756i | −0.505323 | − | 0.862930i | \(-0.668627\pi\) |
0.494658 | + | 0.869088i | \(0.335293\pi\) | |||||||
\(434\) | −67.0396 | −3.21800 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 7.32648 | + | 12.6898i | 0.350875 | + | 0.607733i | ||||
\(437\) | 2.93855i | 0.140570i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.79833 | + | 6.57890i | −0.181284 | + | 0.313994i | −0.942318 | − | 0.334718i | \(-0.891359\pi\) |
0.761034 | + | 0.648712i | \(0.224692\pi\) | |||||||
\(440\) | −7.01356 | + | 5.58973i | −0.334358 | + | 0.266480i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 11.2322 | − | 0.223318i | 0.534263 | − | 0.0106221i | ||||
\(443\) | 4.32246i | 0.205366i | 0.994714 | + | 0.102683i | \(0.0327428\pi\) | ||||
−0.994714 | + | 0.102683i | \(0.967257\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −17.5017 | − | 21.9599i | −0.829663 | − | 1.04100i | ||||
\(446\) | 0.0105711 | + | 0.0183096i | 0.000500554 | + | 0.000866986i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.687565 | − | 0.396966i | 0.0324844 | − | 0.0187549i | ||||
\(449\) | −1.64403 | − | 2.84754i | −0.0775865 | − | 0.134384i | 0.824622 | − | 0.565685i | \(-0.191388\pi\) |
−0.902208 | + | 0.431301i | \(0.858055\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.16324 | − | 5.47890i | −0.148951 | − | 0.257991i | ||||
\(452\) | 21.4583 | + | 12.3889i | 1.00931 | + | 0.582727i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 28.6741 | 1.34574 | ||||||||
\(455\) | 3.98907 | + | 23.3531i | 0.187010 | + | 1.09481i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 13.3594 | + | 7.71304i | 0.624925 | + | 0.360801i | 0.778784 | − | 0.627292i | \(-0.215837\pi\) |
−0.153859 | + | 0.988093i | \(0.549170\pi\) | |||||||
\(458\) | 36.4661 | + | 21.0537i | 1.70395 | + | 0.983775i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 20.0774 | + | 7.88669i | 0.936116 | + | 0.367719i | ||||
\(461\) | 12.9424 | + | 22.4168i | 0.602786 | + | 1.04406i | 0.992397 | + | 0.123076i | \(0.0392760\pi\) |
−0.389611 | + | 0.920979i | \(0.627391\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 7.04045i | − | 0.327197i | −0.986527 | − | 0.163599i | \(-0.947690\pi\) | ||
0.986527 | − | 0.163599i | \(-0.0523102\pi\) | |||||||
\(464\) | −10.6738 | − | 18.4876i | −0.495519 | − | 0.858265i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 8.84570 | − | 15.3212i | 0.409769 | − | 0.709741i | ||||
\(467\) | − | 18.8113i | − | 0.870482i | −0.900314 | − | 0.435241i | \(-0.856663\pi\) | ||
0.900314 | − | 0.435241i | \(-0.143337\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 23.5967 | 1.08959 | ||||||||
\(470\) | −21.8683 | − | 27.4386i | −1.00871 | − | 1.26565i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 41.5486 | − | 23.9881i | 1.91243 | − | 1.10414i | ||||
\(473\) | − | 0.868356i | − | 0.0399271i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.52255 | − | 6.65255i | 0.0698594 | − | 0.305240i | ||||
\(476\) | −16.1159 | −0.738670 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 8.81870 | + | 5.09148i | 0.403358 | + | 0.232879i | ||||
\(479\) | 9.73876 | − | 16.8680i | 0.444975 | − | 0.770720i | −0.553075 | − | 0.833131i | \(-0.686546\pi\) |
0.998051 | + | 0.0624114i | \(0.0198791\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.86491 | − | 2.13011i | −0.176225 | − | 0.0971249i | ||||
\(482\) | − | 50.3346i | − | 2.29268i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −23.7407 | + | 41.1201i | −1.07912 | + | 1.86909i | ||||
\(485\) | −4.91728 | − | 32.6898i | −0.223282 | − | 1.48437i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −27.9935 | + | 16.1620i | −1.26851 | + | 0.732372i | −0.974705 | − | 0.223495i | \(-0.928253\pi\) |
−0.293800 | + | 0.955867i | \(0.594920\pi\) | |||||||
\(488\) | −12.4163 | + | 7.16858i | −0.562062 | + | 0.324506i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.38451 | − | 9.20411i | −0.0625456 | − | 0.415799i | ||||
\(491\) | 14.3354 | − | 24.8297i | 0.646949 | − | 1.12055i | −0.336899 | − | 0.941541i | \(-0.609378\pi\) |
0.983848 | − | 0.179007i | \(-0.0572885\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 3.67187i | − | 0.165373i | ||||||
\(494\) | −0.249036 | − | 12.5258i | −0.0112046 | − | 0.563561i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 31.8847 | − | 55.2260i | 1.43167 | − | 2.47972i | ||||
\(497\) | 6.70593 | + | 3.87167i | 0.300802 | + | 0.173668i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −28.9616 | −1.29650 | −0.648249 | − | 0.761428i | \(-0.724498\pi\) | ||||
−0.648249 | + | 0.761428i | \(0.724498\pi\) | |||||||
\(500\) | −41.3667 | − | 28.2573i | −1.84998 | − | 1.26370i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 9.35181i | 0.417392i | ||||||||
\(503\) | −24.3433 | + | 14.0546i | −1.08542 | + | 0.626665i | −0.932352 | − | 0.361551i | \(-0.882247\pi\) |
−0.153063 | + | 0.988216i | \(0.548914\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −18.4404 | − | 23.1376i | −0.820587 | − | 1.02961i | ||||
\(506\) | −3.48079 | −0.154740 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | − | 77.2116i | − | 3.42571i | ||||||
\(509\) | −10.5563 | + | 18.2841i | −0.467900 | + | 0.810427i | −0.999327 | − | 0.0366773i | \(-0.988323\pi\) |
0.531427 | + | 0.847104i | \(0.321656\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −15.1722 | − | 26.2790i | −0.671178 | − | 1.16251i | ||||
\(512\) | 50.8542i | 2.24746i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 16.8844 | + | 29.2447i | 0.744740 | + | 1.28993i | ||||
\(515\) | 22.8284 | + | 8.96730i | 1.00594 | + | 0.395147i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.39010 | + | 1.95728i | 0.149097 | + | 0.0860809i | ||||
\(518\) | 7.92947 | + | 4.57808i | 0.348401 | + | 0.201149i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −47.7522 | − | 17.6703i | −2.09407 | − | 0.774893i | ||||
\(521\) | −0.673516 | −0.0295073 | −0.0147536 | − | 0.999891i | \(-0.504696\pi\) | ||||
−0.0147536 | + | 0.999891i | \(0.504696\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −25.8618 | − | 14.9313i | −1.13086 | − | 0.652900i | −0.186706 | − | 0.982416i | \(-0.559781\pi\) |
−0.944150 | + | 0.329516i | \(0.893114\pi\) | |||||||
\(524\) | −22.4039 | − | 38.8048i | −0.978720 | − | 1.69519i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −38.5304 | − | 66.7366i | −1.68000 | − | 2.90985i | ||||
\(527\) | 9.49907 | − | 5.48429i | 0.413786 | − | 0.238899i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.18246 | − | 15.9045i | −0.399237 | − | 0.691499i | ||||
\(530\) | −2.27874 | − | 2.85918i | −0.0989820 | − | 0.124195i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 17.9718i | 0.779177i | ||||||||
\(533\) | 17.3366 | − | 31.4558i | 0.750933 | − | 1.36250i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 18.6643 | − | 14.8752i | 0.806928 | − | 0.643112i | ||||
\(536\) | −25.3566 | + | 43.9189i | −1.09524 | + | 1.89701i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 56.6418i | 2.44200i | ||||||||
\(539\) | 0.519213 | + | 0.899304i | 0.0223641 | + | 0.0387358i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.28806 | 0.270345 | 0.135172 | − | 0.990822i | \(-0.456841\pi\) | ||||
0.135172 | + | 0.990822i | \(0.456841\pi\) | |||||||
\(542\) | 26.0778 | − | 15.0560i | 1.12014 | − | 0.646712i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.35627 | − | 5.81323i | 0.143899 | − | 0.249240i | ||||
\(545\) | 2.67352 | − | 6.80607i | 0.114521 | − | 0.291540i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 3.03789i | − | 0.129891i | −0.997889 | − | 0.0649454i | \(-0.979313\pi\) | ||
0.997889 | − | 0.0649454i | \(-0.0206873\pi\) | |||||||
\(548\) | −33.6527 | − | 19.4294i | −1.43757 | − | 0.829983i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 7.88011 | + | 1.80350i | 0.336009 | + | 0.0769015i | ||||
\(551\) | −4.09473 | −0.174442 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.64265 | + | 1.52574i | −0.112377 | + | 0.0648809i | ||||
\(554\) | 42.7304 | 1.81544 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −32.0970 | + | 55.5936i | −1.36121 | + | 2.35769i | ||||
\(557\) | 17.9264 | + | 10.3498i | 0.759566 | + | 0.438536i | 0.829140 | − | 0.559041i | \(-0.188831\pi\) |
−0.0695738 | + | 0.997577i | \(0.522164\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.21955 | − | 2.54931i | 0.178468 | − | 0.107824i | ||||
\(560\) | 43.5198 | + | 17.0952i | 1.83905 | + | 0.722402i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 23.3622 | + | 13.4882i | 0.985475 | + | 0.568964i | ||||
\(563\) | 9.49188 | − | 5.48014i | 0.400035 | − | 0.230960i | −0.286464 | − | 0.958091i | \(-0.592480\pi\) |
0.686499 | + | 0.727131i | \(0.259147\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.83929 | − | 12.2275i | −0.0773794 | − | 0.514413i | ||||
\(566\) | −11.2212 | − | 19.4357i | −0.471661 | − | 0.816941i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −14.4122 | + | 8.32087i | −0.604721 | + | 0.349136i | ||||
\(569\) | −21.3566 | + | 36.9907i | −0.895314 | + | 1.55073i | −0.0618981 | + | 0.998082i | \(0.519715\pi\) |
−0.833416 | + | 0.552647i | \(0.813618\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −23.6145 | −0.988238 | −0.494119 | − | 0.869394i | \(-0.664509\pi\) | ||||
−0.494119 | + | 0.869394i | \(0.664509\pi\) | |||||||
\(572\) | 10.2583 | − | 0.203954i | 0.428920 | − | 0.00852774i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −37.2602 | + | 64.5366i | −1.55521 | + | 2.69370i | ||||
\(575\) | −3.16683 | − | 10.2883i | −0.132066 | − | 0.429050i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 18.3646i | − | 0.764530i | −0.924053 | − | 0.382265i | \(-0.875144\pi\) | ||
0.924053 | − | 0.382265i | \(-0.124856\pi\) | |||||||
\(578\) | −34.1767 | + | 19.7319i | −1.42156 | + | 0.820740i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −10.9897 | + | 27.9770i | −0.456324 | + | 1.16168i | ||||
\(581\) | −17.4039 | − | 30.1445i | −0.722037 | − | 1.25060i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.353259 | + | 0.203954i | 0.0146305 | + | 0.00844691i | ||||
\(584\) | 65.2151 | 2.69862 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −71.9237 | −2.97114 | ||||||||
\(587\) | −0.608726 | − | 0.351448i | −0.0251248 | − | 0.0145058i | 0.487385 | − | 0.873187i | \(-0.337951\pi\) |
−0.512510 | + | 0.858681i | \(0.671284\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −6.11588 | − | 10.5930i | −0.252000 | − | 0.436477i | ||||
\(590\) | −40.2496 | − | 15.8106i | −1.65705 | − | 0.650912i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −7.54267 | + | 4.35476i | −0.310002 | + | 0.178980i | ||||
\(593\) | − | 37.1593i | − | 1.52595i | −0.646428 | − | 0.762975i | \(-0.723738\pi\) | ||
0.646428 | − | 0.762975i | \(-0.276262\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.01248 | + | 6.28927i | 0.205492 | + | 0.257835i | ||||
\(596\) | −38.4337 | + | 66.5692i | −1.57431 | + | 2.72678i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −10.2189 | − | 16.9140i | −0.417880 | − | 0.691663i | ||||
\(599\) | −15.6914 | −0.641133 | −0.320567 | − | 0.947226i | \(-0.603873\pi\) | ||||
−0.320567 | + | 0.947226i | \(0.603873\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.00193 | + | 10.3956i | −0.244824 | + | 0.424047i | −0.962082 | − | 0.272760i | \(-0.912063\pi\) |
0.717258 | + | 0.696807i | \(0.245397\pi\) | |||||||
\(602\) | −8.85812 | + | 5.11424i | −0.361030 | + | 0.208441i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −47.9059 | − | 82.9754i | −1.94926 | − | 3.37622i | ||||
\(605\) | 23.4313 | − | 3.52459i | 0.952616 | − | 0.143295i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 33.5035 | − | 19.3433i | 1.35987 | − | 0.785119i | 0.370261 | − | 0.928928i | \(-0.379268\pi\) |
0.989606 | + | 0.143809i | \(0.0459350\pi\) | |||||||
\(608\) | −6.48269 | − | 3.74278i | −0.262908 | − | 0.151790i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 12.0282 | + | 4.72482i | 0.487006 | + | 0.191302i | ||||
\(611\) | 0.441765 | + | 22.2195i | 0.0178719 | + | 0.898903i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.9684 | − | 8.64201i | −0.604568 | − | 0.349047i | 0.166269 | − | 0.986081i | \(-0.446828\pi\) |
−0.770836 | + | 0.637033i | \(0.780161\pi\) | |||||||
\(614\) | −16.1933 | + | 28.0477i | −0.653509 | + | 1.13191i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −11.7861 | −0.474877 | ||||||||
\(617\) | −22.9229 | + | 13.2345i | −0.922841 | + | 0.532803i | −0.884540 | − | 0.466464i | \(-0.845528\pi\) |
−0.0383009 | + | 0.999266i | \(0.512195\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 31.0039 | 1.24615 | 0.623075 | − | 0.782162i | \(-0.285883\pi\) | ||||
0.623075 | + | 0.782162i | \(0.285883\pi\) | |||||||
\(620\) | −88.7902 | + | 13.3560i | −3.56590 | + | 0.536392i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −61.5615 | − | 35.5425i | −2.46839 | − | 1.42513i | ||||
\(623\) | − | 36.9030i | − | 1.47849i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.83869 | + | 24.9323i | 0.0735475 | + | 0.997292i | ||||
\(626\) | 31.2881 | − | 54.1925i | 1.25052 | − | 2.16597i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −71.2635 | + | 41.1440i | −2.84372 | + | 1.64182i | ||||
\(629\) | −1.49807 | −0.0597320 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.3566 | + | 17.9381i | 0.412288 | + | 0.714104i | 0.995140 | − | 0.0984745i | \(-0.0313963\pi\) |
−0.582851 | + | 0.812579i | \(0.698063\pi\) | |||||||
\(632\) | − | 6.55812i | − | 0.260868i | ||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.298331 | + | 0.516725i | −0.0118482 | + | 0.0205218i | ||||
\(635\) | −30.1321 | + | 24.0149i | −1.19576 | + | 0.953003i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.84563 | + | 5.16315i | −0.112748 | + | 0.204571i | ||||
\(638\) | − | 4.85031i | − | 0.192026i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 20.3828 | − | 16.2449i | 0.805702 | − | 0.642136i | ||||
\(641\) | 10.5947 | + | 18.3506i | 0.418467 | + | 0.724806i | 0.995785 | − | 0.0917132i | \(-0.0292343\pi\) |
−0.577319 | + | 0.816519i | \(0.695901\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.98843 | − | 5.76682i | 0.393905 | − | 0.227421i | −0.289946 | − | 0.957043i | \(-0.593637\pi\) |
0.683851 | + | 0.729622i | \(0.260304\pi\) | |||||||
\(644\) | 14.1738 | + | 24.5498i | 0.558526 | + | 0.967396i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.12645 | − | 3.68311i | −0.0836639 | − | 0.144910i | ||||
\(647\) | −30.1779 | − | 17.4232i | −1.18641 | − | 0.684977i | −0.228925 | − | 0.973444i | \(-0.573521\pi\) |
−0.957490 | + | 0.288467i | \(0.906854\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.82456 | 0.189380 | ||||||||
\(650\) | 14.3707 | + | 43.5860i | 0.563666 | + | 1.70958i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −15.5641 | − | 8.98591i | −0.609535 | − | 0.351915i | ||||
\(653\) | −19.3324 | − | 11.1616i | −0.756537 | − | 0.436787i | 0.0715139 | − | 0.997440i | \(-0.477217\pi\) |
−0.828051 | + | 0.560653i | \(0.810550\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −8.17544 | + | 20.8125i | −0.319441 | + | 0.813214i | ||||
\(656\) | −35.4427 | − | 61.3885i | −1.38380 | − | 2.39682i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | − | 46.1100i | − | 1.79755i | ||||||
\(659\) | 0.433420 | + | 0.750705i | 0.0168836 | + | 0.0292433i | 0.874344 | − | 0.485307i | \(-0.161292\pi\) |
−0.857460 | + | 0.514550i | \(0.827959\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −6.65430 | + | 11.5256i | −0.258822 | + | 0.448293i | −0.965927 | − | 0.258816i | \(-0.916668\pi\) |
0.707104 | + | 0.707109i | \(0.250001\pi\) | |||||||
\(662\) | 46.6544i | 1.81328i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 74.8079 | 2.90311 | ||||||||
\(665\) | 7.01356 | − | 5.58973i | 0.271974 | − | 0.216760i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.59346 | + | 3.22939i | −0.216580 | + | 0.125042i | ||||
\(668\) | − | 13.1670i | − | 0.509448i | ||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 45.2020 | − | 6.79940i | 1.74630 | − | 0.262684i | ||||
\(671\) | −1.44176 | −0.0556587 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.77457 | − | 2.75660i | −0.184046 | − | 0.106259i | 0.405146 | − | 0.914252i | \(-0.367221\pi\) |
−0.589192 | + | 0.807993i | \(0.700554\pi\) | |||||||
\(674\) | 27.1056 | − | 46.9483i | 1.04407 | − | 1.80838i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 31.1072 | + | 49.2486i | 1.19643 | + | 1.89418i | ||||
\(677\) | 4.80479i | 0.184663i | 0.995728 | + | 0.0923316i | \(0.0294320\pi\) | ||||
−0.995728 | + | 0.0923316i | \(0.970568\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 21.7215 | − | 37.6227i | 0.833594 | − | 1.44383i | ||||
\(680\) | −17.0921 | + | 2.57104i | −0.655453 | + | 0.0985949i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 12.5477 | − | 7.24440i | 0.480475 | − | 0.277403i | ||||
\(683\) | 10.1866 | − | 5.88126i | 0.389781 | − | 0.225040i | −0.292284 | − | 0.956331i | \(-0.594415\pi\) |
0.682065 | + | 0.731291i | \(0.261082\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.88453 | + | 19.1761i | 0.110212 | + | 0.732683i | ||||
\(686\) | −20.0669 | + | 34.7569i | −0.766157 | + | 1.32702i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | − | 9.72953i | − | 0.370935i | ||||||
\(689\) | 0.0460332 | + | 2.31533i | 0.00175372 | + | 0.0882071i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −2.43342 | + | 4.21481i | −0.0925717 | + | 0.160339i | −0.908593 | − | 0.417684i | \(-0.862842\pi\) |
0.816021 | + | 0.578022i | \(0.196175\pi\) | |||||||
\(692\) | −5.30577 | − | 3.06329i | −0.201695 | − | 0.116449i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 9.71254 | 0.368683 | ||||||||
\(695\) | 31.6786 | − | 4.76518i | 1.20164 | − | 0.180753i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | − | 12.1925i | − | 0.461825i | ||||||
\(698\) | 53.6320 | − | 30.9644i | 2.03000 | − | 1.17202i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −19.3679 | − | 62.9218i | −0.732039 | − | 2.37822i | ||||
\(701\) | −21.3828 | −0.807617 | −0.403808 | − | 0.914844i | \(-0.632314\pi\) | ||||
−0.403808 | + | 0.914844i | \(0.632314\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.67059i | 0.0630076i | ||||||||
\(704\) | −0.0857934 | + | 0.148599i | −0.00323346 | + | 0.00560052i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 34.4427 | + | 59.6564i | 1.29627 | + | 2.24520i | ||||
\(707\) | − | 38.8822i | − | 1.46232i | ||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −13.0582 | − | 22.6175i | −0.490412 | − | 0.849419i | 0.509527 | − | 0.860455i | \(-0.329820\pi\) |
−0.999939 | + | 0.0110357i | \(0.996487\pi\) | |||||||
\(710\) | 13.9616 | + | 5.48429i | 0.523969 | + | 0.205822i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 68.6851 | + | 39.6554i | 2.57408 | + | 1.48615i | ||||
\(713\) | −16.7087 | − | 9.64680i | −0.625748 | − | 0.361276i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.27020 | − | 3.93989i | −0.122299 | − | 0.147344i | ||||
\(716\) | −34.8880 | −1.30383 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 59.5347 | + | 34.3724i | 2.22182 | + | 1.28277i | ||||
\(719\) | −18.3387 | − | 31.7635i | −0.683918 | − | 1.18458i | −0.973776 | − | 0.227510i | \(-0.926941\pi\) |
0.289858 | − | 0.957070i | \(-0.406392\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 16.1159 | + | 27.9135i | 0.600187 | + | 1.03955i | ||||
\(722\) | 37.7815 | − | 21.8132i | 1.40608 | − | 0.811803i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −8.66324 | − | 15.0052i | −0.321967 | − | 0.557663i | ||||
\(725\) | 14.3362 | − | 4.41283i | 0.532434 | − | 0.163888i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 26.2596i | − | 0.973916i | −0.873425 | − | 0.486958i | \(-0.838107\pi\) | ||
0.873425 | − | 0.486958i | \(-0.161893\pi\) | |||||||
\(728\) | −34.6016 | − | 57.2716i | −1.28242 | − | 2.12263i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −36.6363 | − | 45.9684i | −1.35597 | − | 1.70137i | ||||
\(731\) | 0.836758 | − | 1.44931i | 0.0309486 | − | 0.0536046i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 31.7811i | − | 1.17386i | −0.809637 | − | 0.586931i | \(-0.800336\pi\) | ||
0.809637 | − | 0.586931i | \(-0.199664\pi\) | |||||||
\(734\) | 8.83513 | + | 15.3029i | 0.326110 | + | 0.564840i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −11.8073 | −0.435222 | ||||||||
\(737\) | −4.41654 | + | 2.54989i | −0.162685 | + | 0.0939265i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −17.0685 | + | 29.5635i | −0.627875 | + | 1.08751i | 0.360102 | + | 0.932913i | \(0.382742\pi\) |
−0.987977 | + | 0.154599i | \(0.950591\pi\) | |||||||
\(740\) | 11.4142 | + | 4.48365i | 0.419595 | + | 0.164822i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | − | 4.80479i | − | 0.176390i | ||||||
\(743\) | −2.70254 | − | 1.56031i | −0.0991465 | − | 0.0572423i | 0.449607 | − | 0.893227i | \(-0.351564\pi\) |
−0.548753 | + | 0.835984i | \(0.684897\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 37.9328 | − | 5.70594i | 1.38975 | − | 0.209050i | ||||
\(746\) | −5.88798 | −0.215574 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.01638 | − | 1.74151i | 0.110290 | − | 0.0636758i | ||||
\(749\) | 31.3649 | 1.14605 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.742024 | + | 1.28522i | −0.0270769 | + | 0.0468985i | −0.879246 | − | 0.476367i | \(-0.841953\pi\) |
0.852169 | + | 0.523266i | \(0.175287\pi\) | |||||||
\(752\) | 37.9845 | + | 21.9304i | 1.38515 | + | 0.799718i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 23.5688 | − | 14.2395i | 0.858325 | − | 0.518572i | ||||
\(755\) | −17.4814 | + | 44.5030i | −0.636213 | + | 1.61963i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −4.41654 | − | 2.54989i | −0.160522 | − | 0.0926774i | 0.417587 | − | 0.908637i | \(-0.362876\pi\) |
−0.578109 | + | 0.815960i | \(0.696209\pi\) | |||||||
\(758\) | 11.4102 | − | 6.58767i | 0.414436 | − | 0.239275i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.86713 | + | 19.0605i | 0.104002 | + | 0.691397i | ||||
\(761\) | −14.8931 | − | 25.7955i | −0.539873 | − | 0.935088i | −0.998910 | − | 0.0466707i | \(-0.985139\pi\) |
0.459037 | − | 0.888417i | \(-0.348194\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 8.32215 | − | 4.80479i | 0.301282 | − | 0.173945i | ||||
\(764\) | −11.0758 | + | 19.1839i | −0.400709 | + | 0.694048i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −52.5973 | −1.90042 | ||||||||
\(767\) | 14.1639 | + | 23.4437i | 0.511428 | + | 0.846501i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 9.54930 | − | 16.5399i | 0.344356 | − | 0.596443i | −0.640880 | − | 0.767641i | \(-0.721430\pi\) |
0.985237 | + | 0.171198i | \(0.0547638\pi\) | |||||||
\(770\) | 6.62117 | + | 8.30773i | 0.238610 | + | 0.299390i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | − | 22.2088i | − | 0.799311i | ||||||
\(773\) | 42.6350 | − | 24.6153i | 1.53347 | − | 0.885351i | 0.534275 | − | 0.845311i | \(-0.320585\pi\) |
0.999198 | − | 0.0400400i | \(-0.0127485\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 32.8284 | + | 30.4966i | 1.17923 | + | 1.09547i | ||||
\(776\) | 46.6831 | + | 80.8574i | 1.67582 | + | 2.90261i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 43.5373 | + | 25.1362i | 1.56089 | + | 0.901178i | ||||
\(779\) | −13.5967 | −0.487151 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.67352 | −0.0598831 | ||||||||
\(782\) | −5.80951 | − | 3.35412i | −0.207748 | − | 0.119943i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 5.81754 | + | 10.0763i | 0.207769 | + | 0.359867i | ||||
\(785\) | 38.2215 | + | 15.0139i | 1.36418 | + | 0.535869i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −8.47263 | + | 4.89168i | −0.302017 | + | 0.174369i | −0.643349 | − | 0.765573i | \(-0.722455\pi\) |
0.341332 | + | 0.939943i | \(0.389122\pi\) | |||||||
\(788\) | − | 30.2250i | − | 1.07672i | ||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −4.62264 | + | 3.68419i | −0.164466 | + | 0.131078i | ||||
\(791\) | 8.12482 | − | 14.0726i | 0.288885 | − | 0.500364i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.23272 | − | 7.00587i | −0.150308 | − | 0.248786i | ||||
\(794\) | −23.9020 | −0.848250 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −11.5950 | + | 20.0832i | −0.410975 | + | 0.711830i | ||||
\(797\) | −14.3216 | + | 8.26856i | −0.507296 | + | 0.292887i | −0.731721 | − | 0.681604i | \(-0.761283\pi\) |
0.224426 | + | 0.974491i | \(0.427949\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 3.77211 | + | 6.53348i | 0.133448 | + | 0.231138i | ||||
\(800\) | 26.7303 | + | 6.11770i | 0.945060 | + | 0.216293i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 54.0188 | − | 31.1878i | 1.90747 | − | 1.10128i | ||||
\(803\) | 5.67950 | + | 3.27906i | 0.200425 | + | 0.115715i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 5.17218 | − | 13.1670i | 0.182295 | − | 0.464077i | ||||
\(806\) | 72.0396 | + | 39.7041i | 2.53749 | + | 1.39852i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 72.3688 | + | 41.7821i | 2.54592 | + | 1.46989i | ||||
\(809\) | 15.9212 | − | 27.5764i | 0.559760 | − | 0.969533i | −0.437756 | − | 0.899094i | \(-0.644227\pi\) |
0.997516 | − | 0.0704392i | \(-0.0224401\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 13.3470 | 0.468678 | 0.234339 | − | 0.972155i | \(-0.424707\pi\) | ||||
0.234339 | + | 0.972155i | \(0.424707\pi\) | |||||||
\(812\) | −34.2089 | + | 19.7505i | −1.20050 | + | 0.693108i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1.97886 | −0.0693589 | ||||||||
\(815\) | 1.33407 | + | 8.86879i | 0.0467303 | + | 0.310660i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.61621 | − | 0.933121i | −0.0565441 | − | 0.0326458i | ||||
\(818\) | 91.9431i | 3.21472i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −36.4917 | + | 92.8982i | −1.27434 | + | 3.24415i | ||||
\(821\) | 5.83676 | − | 10.1096i | 0.203704 | − | 0.352826i | −0.746015 | − | 0.665929i | \(-0.768035\pi\) |
0.949719 | + | 0.313103i | \(0.101369\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −28.0867 | + | 16.2159i | −0.979041 | + | 0.565249i | −0.901980 | − | 0.431777i | \(-0.857887\pi\) |
−0.0770602 | + | 0.997026i | \(0.524553\pi\) | |||||||
\(824\) | −69.2714 | −2.41318 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −28.4145 | − | 49.2154i | −0.988667 | − | 1.71242i | ||||
\(827\) | − | 27.3319i | − | 0.950425i | −0.879871 | − | 0.475212i | \(-0.842371\pi\) | ||
0.879871 | − | 0.475212i | \(-0.157629\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.77018 | − | 3.06604i | 0.0614808 | − | 0.106488i | −0.833647 | − | 0.552298i | \(-0.813751\pi\) |
0.895128 | + | 0.445810i | \(0.147084\pi\) | |||||||
\(830\) | −42.0253 | − | 52.7301i | −1.45872 | − | 1.83029i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.973947 | + | 0.0193639i | −0.0337655 | + | 0.000671322i | ||||
\(833\) | 2.00128i | 0.0693402i | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −5.13847 | + | 4.09531i | −0.177824 | + | 0.141724i | ||||
\(836\) | −1.94206 | − | 3.36375i | −0.0671676 | − | 0.116338i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 15.1391 | − | 8.74059i | 0.522973 | − | 0.301939i | ||||
\(839\) | −22.3950 | − | 38.7893i | −0.773161 | − | 1.33915i | −0.935822 | − | 0.352472i | \(-0.885341\pi\) |
0.162661 | − | 0.986682i | \(-0.447992\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.0000 | + | 17.3205i | 0.344828 | + | 0.597259i | ||||
\(842\) | 74.9136 | + | 43.2514i | 2.58169 | + | 1.49054i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 62.8111 | 2.16205 | ||||||||
\(845\) | 9.54424 | − | 27.4574i | 0.328332 | − | 0.944562i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 26.9670 | + | 15.5694i | 0.926598 | + | 0.534972i | ||||
\(848\) | 3.95810 | + | 2.28521i | 0.135922 | + | 0.0784744i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 11.4142 | + | 10.6034i | 0.391504 | + | 0.363695i | ||||
\(851\) | 1.31754 | + | 2.28205i | 0.0451648 | + | 0.0782278i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 31.3732i | 1.07420i | 0.843519 | + | 0.537099i | \(0.180480\pi\) | ||||
−0.843519 | + | 0.537099i | \(0.819520\pi\) | |||||||
\(854\) | 8.49136 | + | 14.7075i | 0.290568 | + | 0.503279i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −33.7042 | + | 58.3774i | −1.15199 | + | 1.99530i | ||||
\(857\) | 21.2813i | 0.726955i | 0.931603 | + | 0.363478i | \(0.118411\pi\) | ||||
−0.931603 | + | 0.363478i | \(0.881589\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −56.8502 | −1.93970 | −0.969851 | − | 0.243698i | \(-0.921639\pi\) | ||||
−0.969851 | + | 0.243698i | \(0.921639\pi\) | |||||||
\(860\) | −10.7132 | + | 8.53829i | −0.365317 | + | 0.291153i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −35.8251 | + | 20.6837i | −1.22021 | + | 0.704488i | ||||
\(863\) | 32.8011i | 1.11656i | 0.829651 | + | 0.558282i | \(0.188539\pi\) | ||||
−0.829651 | + | 0.558282i | \(0.811461\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.454782 | + | 3.02336i | 0.0154630 | + | 0.102797i | ||||
\(866\) | −0.652374 | −0.0221686 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −102.189 | − | 58.9986i | −3.46851 | − | 2.00254i | ||||
\(869\) | 0.329747 | − | 0.571138i | 0.0111859 | − | 0.0193745i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −25.3566 | − | 13.9751i | −0.859174 | − | 0.473527i | ||||
\(872\) | 20.6526i | 0.699385i | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −3.74039 | + | 6.47855i | −0.126521 | + | 0.219140i | ||||
\(875\) | −18.5315 | + | 27.1288i | −0.626478 | + | 0.917120i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −31.2333 | + | 18.0325i | −1.05467 | + | 0.608916i | −0.923954 | − | 0.382504i | \(-0.875062\pi\) |
−0.130719 | + | 0.991419i | \(0.541729\pi\) | |||||||
\(878\) | −16.7482 | + | 9.66956i | −0.565223 | + | 0.326332i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −9.99285 | + | 1.50315i | −0.336859 | + | 0.0506712i | ||||
\(881\) | −23.0198 | + | 39.8715i | −0.775557 | + | 1.34330i | 0.158924 | + | 0.987291i | \(0.449198\pi\) |
−0.934481 | + | 0.356013i | \(0.884136\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 0.802236i | − | 0.0269974i | −0.999909 | − | 0.0134987i | \(-0.995703\pi\) | ||
0.999909 | − | 0.0134987i | \(-0.00429690\pi\) | |||||||
\(884\) | 17.3178 | + | 9.54459i | 0.582462 | + | 0.321019i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −5.50193 | + | 9.52962i | −0.184841 | + | 0.320154i | ||||
\(887\) | 7.12365 | + | 4.11284i | 0.239189 | + | 0.138096i | 0.614804 | − | 0.788680i | \(-0.289235\pi\) |
−0.375615 | + | 0.926776i | \(0.622569\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −50.6363 | −1.69829 | ||||||||
\(890\) | −10.6336 | − | 70.6918i | −0.356440 | − | 2.36959i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0.0372125i | 0.00124597i | ||||||||
\(893\) | 7.28589 | − | 4.20651i | 0.243813 | − | 0.140766i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 10.8511 | + | 13.6151i | 0.362713 | + | 0.455104i | ||||
\(896\) | 34.2529 | 1.14431 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | − | 8.37054i | − | 0.279328i | ||||||
\(899\) | 13.4424 | − | 23.2829i | 0.448328 | − | 0.776527i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.393064 | + | 0.680808i | 0.0130949 | + | 0.0226810i | ||||
\(902\) | − | 16.1056i | − | 0.536257i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 17.4616 | + | 30.2443i | 0.580763 | + | 1.00591i | ||||
\(905\) | −3.16131 | + | 8.04788i | −0.105086 | + | 0.267521i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 26.3583 | + | 15.2180i | 0.875213 | + | 0.505305i | 0.869077 | − | 0.494677i | \(-0.164714\pi\) |
0.00613601 | + | 0.999981i | \(0.498047\pi\) | |||||||
\(908\) | 43.7080 | + | 25.2348i | 1.45050 | + | 0.837447i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −20.9309 | + | 56.5636i | −0.693852 | + | 1.87506i | ||||
\(911\) | −43.6145 | −1.44501 | −0.722507 | − | 0.691363i | \(-0.757010\pi\) | ||||
−0.722507 | + | 0.691363i | \(0.757010\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 6.51492 | + | 3.76139i | 0.215612 | + | 0.124484i | ||||
\(914\) | 19.6354 | + | 34.0095i | 0.649481 | + | 1.12493i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 37.0569 | + | 64.1844i | 1.22439 | + | 2.12071i | ||||
\(917\) | −25.4486 | + | 14.6928i | −0.840387 | + | 0.485198i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −18.5109 | − | 32.0618i | −0.610617 | − | 1.05762i | −0.991137 | − | 0.132847i | \(-0.957588\pi\) |
0.380519 | − | 0.924773i | \(-0.375745\pi\) | |||||||
\(920\) | 18.9490 | + | 23.7757i | 0.624728 | + | 0.783861i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 65.8957i | 2.17016i | ||||||||
\(923\) | −4.91309 | − | 8.13201i | −0.161716 | − | 0.267668i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.80037 | − | 5.84897i | −0.0591958 | − | 0.192313i | ||||
\(926\) | 8.96157 | − | 15.5219i | 0.294496 | − | 0.510081i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | − | 16.4529i | − | 0.540092i | ||||||
\(929\) | 2.38412 | + | 4.12942i | 0.0782206 | + | 0.135482i | 0.902482 | − | 0.430727i | \(-0.141743\pi\) |
−0.824262 | + | 0.566209i | \(0.808409\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.23175 | 0.0731427 | ||||||||
\(932\) | 26.9670 | − | 15.5694i | 0.883334 | − | 0.509993i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 23.9443 | − | 41.4727i | 0.783481 | − | 1.35703i | ||||
\(935\) | −1.61780 | − | 0.635495i | −0.0529079 | − | 0.0207829i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 43.6264i | 1.42521i | 0.701565 | + | 0.712606i | \(0.252485\pi\) | ||||
−0.701565 | + | 0.712606i | \(0.747515\pi\) | |||||||
\(938\) | 52.0230 | + | 30.0355i | 1.69861 | + | 0.980693i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −9.18631 | − | 61.0701i | −0.299625 | − | 1.99189i | ||||
\(941\) | −18.2675 | −0.595504 | −0.297752 | − | 0.954643i | \(-0.596237\pi\) | ||||
−0.297752 | + | 0.954643i | \(0.596237\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −18.5732 | + | 10.7233i | −0.604828 | + | 0.349197i | ||||
\(944\) | 54.0569 | 1.75940 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.10530 | − | 1.91444i | 0.0359365 | − | 0.0622439i | ||||
\(947\) | −17.3057 | − | 9.99146i | −0.562360 | − | 0.324679i | 0.191732 | − | 0.981447i | \(-0.438590\pi\) |
−0.754092 | + | 0.656769i | \(0.771923\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.740096 | + | 37.2246i | 0.0240245 | + | 1.20836i | ||||
\(950\) | 11.8246 | − | 12.7287i | 0.383639 | − | 0.412973i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −19.6713 | − | 11.3572i | −0.637551 | − | 0.368090i | ||||
\(953\) | −34.5228 | + | 19.9317i | −1.11830 | + | 0.645652i | −0.940967 | − | 0.338498i | \(-0.890081\pi\) |
−0.177335 | + | 0.984150i | \(0.556748\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 10.9315 | − | 1.64434i | 0.353734 | − | 0.0532095i | ||||
\(956\) | 8.96157 | + | 15.5219i | 0.289838 | + | 0.502014i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 42.9416 | − | 24.7923i | 1.38738 | − | 0.801004i | ||||
\(959\) | −12.7420 | + | 22.0698i | −0.411461 | + | 0.712672i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 49.3098 | 1.59064 | ||||||||
\(962\) | −5.80951 | − | 9.61574i | −0.187306 | − | 0.310024i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 44.2973 | − | 76.7252i | 1.42672 | − | 2.47115i | ||||
\(965\) | −8.66704 | + | 6.90753i | −0.279002 | + | 0.222361i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 43.8607i | − | 1.41047i | −0.708975 | − | 0.705233i | \(-0.750842\pi\) | ||
0.708975 | − | 0.705233i | \(-0.249158\pi\) | |||||||
\(968\) | −57.9566 | + | 33.4613i | −1.86280 | + | 1.07549i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 30.7688 | − | 78.3294i | 0.987928 | − | 2.51501i | ||||
\(971\) | 30.4897 | + | 52.8098i | 0.978462 | + | 1.69475i | 0.668002 | + | 0.744159i | \(0.267150\pi\) |
0.310459 | + | 0.950587i | \(0.399517\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 36.4589 | + | 21.0496i | 1.16882 | + | 0.674818i | ||||
\(974\) | −82.2887 | −2.63670 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −16.1543 | −0.517087 | ||||||||
\(977\) | 44.4875 | + | 25.6849i | 1.42328 | + | 0.821731i | 0.996578 | − | 0.0826604i | \(-0.0263417\pi\) |
0.426703 | + | 0.904392i | \(0.359675\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 3.98780 | + | 6.90707i | 0.127451 | + | 0.220751i | ||||
\(980\) | 5.98973 | − | 15.2483i | 0.191335 | − | 0.487088i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 63.2099 | − | 36.4942i | 2.01711 | − | 1.16458i | ||||
\(983\) | 37.3026i | 1.18977i | 0.803811 | + | 0.594885i | \(0.202802\pi\) | ||||
−0.803811 | + | 0.594885i | \(0.797198\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −11.7954 | + | 9.40079i | −0.375832 | + | 0.299534i | ||||
\(986\) | 4.67381 | − | 8.09528i | 0.148845 | − | 0.257806i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 10.6438 | − | 19.3122i | 0.338623 | − | 0.614403i | ||||
\(989\) | −2.94369 | −0.0936040 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 25.7810 | − | 44.6541i | 0.818962 | − | 1.41848i | −0.0874859 | − | 0.996166i | \(-0.527883\pi\) |
0.906448 | − | 0.422318i | \(-0.138783\pi\) | |||||||
\(992\) | 42.5633 | − | 24.5739i | 1.35139 | − | 0.780223i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 9.85627 | + | 17.0716i | 0.312622 | + | 0.541477i | ||||
\(995\) | 11.4439 | − | 1.72142i | 0.362796 | − | 0.0545727i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 19.8743 | − | 11.4744i | 0.629425 | − | 0.363399i | −0.151104 | − | 0.988518i | \(-0.548283\pi\) |
0.780529 | + | 0.625119i | \(0.214950\pi\) | |||||||
\(998\) | −63.8508 | − | 36.8643i | −2.02116 | − | 1.16692i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))