Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [65,2,Mod(9,65)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(65, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("65.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 65 = 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 65.n (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: | \(0.519027613138\) |
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: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 29.1 | ||
Root | \(-2.20467 - 1.27287i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 65.29 |
Dual form | 65.2.n.a.9.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(41\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 | −0.561582 | + | 0.827421i | \(0.689807\pi\) |
−0.997359 | + | 0.0726333i | \(0.976860\pi\) | |||||||
\(3\) | 1.86449 | − | 1.07646i | 1.07646 | − | 0.621496i | 0.146523 | − | 0.989207i | \(-0.453192\pi\) |
0.929940 | + | 0.367711i | \(0.119858\pi\) | |||||||
\(4\) | 2.24039 | − | 3.88048i | 1.12020 | − | 1.94024i | ||||
\(5\) | −0.817544 | − | 2.08125i | −0.365617 | − | 0.930765i | ||||
\(6\) | −2.74039 | + | 4.74650i | −1.11876 | + | 1.93775i | ||||
\(7\) | 2.54486 | + | 1.46928i | 0.961867 | + | 0.555334i | 0.896747 | − | 0.442543i | \(-0.145924\pi\) |
0.0651198 | + | 0.997877i | \(0.479257\pi\) | |||||||
\(8\) | 6.31544i | 2.23284i | ||||||||
\(9\) | 0.817544 | − | 1.41603i | 0.272515 | − | 0.472010i | ||||
\(10\) | 4.45158 | + | 3.54786i | 1.40771 | + | 1.12193i | ||||
\(11\) | 0.317544 | + | 0.550003i | 0.0957433 | + | 0.165832i | 0.909919 | − | 0.414787i | \(-0.136144\pi\) |
−0.814175 | + | 0.580619i | \(0.802811\pi\) | |||||||
\(12\) | − | 9.64680i | − | 2.78479i | ||||||
\(13\) | −3.60484 | − | 0.0716710i | −0.999802 | − | 0.0198779i | ||||
\(14\) | −7.48079 | −1.99932 | ||||||||
\(15\) | −3.76470 | − | 3.00042i | −0.972040 | − | 0.774705i | ||||
\(16\) | −3.55794 | − | 6.16253i | −0.889484 | − | 1.54063i | ||||
\(17\) | 1.05998 | + | 0.611979i | 0.257082 | + | 0.148427i | 0.623003 | − | 0.782220i | \(-0.285912\pi\) |
−0.365920 | + | 0.930646i | \(0.619246\pi\) | |||||||
\(18\) | 4.16251i | 0.981113i | ||||||||
\(19\) | 0.682456 | − | 1.18205i | 0.156566 | − | 0.271180i | −0.777062 | − | 0.629424i | \(-0.783291\pi\) |
0.933628 | + | 0.358244i | \(0.116624\pi\) | |||||||
\(20\) | −9.90788 | − | 1.49037i | −2.21547 | − | 0.333256i | ||||
\(21\) | 6.32648 | 1.38055 | ||||||||
\(22\) | −1.40016 | − | 0.808385i | −0.298516 | − | 0.172348i | ||||
\(23\) | −1.86449 | + | 1.07646i | −0.388773 | + | 0.224458i | −0.681628 | − | 0.731699i | \(-0.738728\pi\) |
0.292856 | + | 0.956157i | \(0.405394\pi\) | |||||||
\(24\) | 6.79833 | + | 11.7751i | 1.38770 | + | 2.40357i | ||||
\(25\) | −3.66324 | + | 3.40304i | −0.732648 | + | 0.680607i | ||||
\(26\) | 8.03872 | − | 4.43048i | 1.57652 | − | 0.868888i | ||||
\(27\) | 2.93855i | 0.565525i | ||||||||
\(28\) | 11.4030 | − | 6.58351i | 2.15496 | − | 1.24417i | ||||
\(29\) | 1.50000 | + | 2.59808i | 0.278543 | + | 0.482451i | 0.971023 | − | 0.238987i | \(-0.0768152\pi\) |
−0.692480 | + | 0.721437i | \(0.743482\pi\) | |||||||
\(30\) | 12.1191 | + | 1.82298i | 2.21263 | + | 0.332829i | ||||
\(31\) | −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 | ||||
\(33\) | 1.18412 | + | 0.683650i | 0.206128 | + | 0.119008i | ||||
\(34\) | −3.11588 | −0.534368 | ||||||||
\(35\) | 0.977401 | − | 6.49770i | 0.165211 | − | 1.09831i | ||||
\(36\) | −3.66324 | − | 6.34492i | −0.610540 | − | 1.05749i | ||||
\(37\) | 1.05998 | − | 0.611979i | 0.174259 | − | 0.100609i | −0.410333 | − | 0.911936i | \(-0.634588\pi\) |
0.584593 | + | 0.811327i | \(0.301254\pi\) | |||||||
\(38\) | 3.47471i | 0.563672i | ||||||||
\(39\) | −6.79833 | + | 3.74685i | −1.08860 | + | 0.599975i | ||||
\(40\) | 13.1440 | − | 5.16315i | 2.07825 | − | 0.816366i | ||||
\(41\) | 4.98079 | + | 8.62698i | 0.777868 | + | 1.34731i | 0.933168 | + | 0.359440i | \(0.117032\pi\) |
−0.155300 | + | 0.987867i | \(0.549634\pi\) | |||||||
\(42\) | −13.9478 | + | 8.05279i | −2.15220 | + | 1.24257i | ||||
\(43\) | −1.18412 | − | 0.683650i | −0.180576 | − | 0.104256i | 0.406987 | − | 0.913434i | \(-0.366579\pi\) |
−0.587563 | + | 0.809178i | \(0.699913\pi\) | |||||||
\(44\) | 2.84570 | 0.429005 | ||||||||
\(45\) | −3.61549 | − | 0.543852i | −0.538966 | − | 0.0810727i | ||||
\(46\) | 2.74039 | − | 4.74650i | 0.404049 | − | 0.699833i | ||||
\(47\) | − | 6.16379i | − | 0.899081i | −0.893260 | − | 0.449540i | \(-0.851588\pi\) | ||
0.893260 | − | 0.449540i | \(-0.148412\pi\) | |||||||
\(48\) | −13.2675 | − | 7.65998i | −1.91499 | − | 1.10562i | ||||
\(49\) | 0.817544 | + | 1.41603i | 0.116792 | + | 0.202290i | ||||
\(50\) | 3.74464 | − | 12.1654i | 0.529571 | − | 1.72045i | ||||
\(51\) | 2.63509 | 0.368986 | ||||||||
\(52\) | −8.35437 | + | 13.8279i | −1.15854 | + | 1.91759i | ||||
\(53\) | − | 0.642285i | − | 0.0882246i | −0.999027 | − | 0.0441123i | \(-0.985954\pi\) | ||
0.999027 | − | 0.0441123i | \(-0.0140459\pi\) | |||||||
\(54\) | −3.74039 | − | 6.47855i | −0.509003 | − | 0.881619i | ||||
\(55\) | 0.885090 | − | 1.11054i | 0.119345 | − | 0.149746i | ||||
\(56\) | −9.27912 | + | 16.0719i | −1.23997 | + | 2.14770i | ||||
\(57\) | − | 2.93855i | − | 0.389221i | ||||||
\(58\) | −6.61402 | − | 3.81861i | −0.868464 | − | 0.501408i | ||||
\(59\) | 3.79833 | − | 6.57890i | 0.494501 | − | 0.856500i | −0.505479 | − | 0.862839i | \(-0.668684\pi\) |
0.999980 | + | 0.00633858i | \(0.00201765\pi\) | |||||||
\(60\) | −20.0774 | + | 7.88669i | −2.59199 | + | 1.01817i | ||||
\(61\) | 1.13509 | − | 1.96603i | 0.145333 | − | 0.251725i | −0.784164 | − | 0.620554i | \(-0.786908\pi\) |
0.929497 | + | 0.368829i | \(0.120241\pi\) | |||||||
\(62\) | 19.7574 | − | 11.4069i | 2.50919 | − | 1.44868i | ||||
\(63\) | 4.16107 | − | 2.40240i | 0.524246 | − | 0.302674i | ||||
\(64\) | 0.270178 | 0.0337722 | ||||||||
\(65\) | 2.79795 | + | 7.56118i | 0.347043 | + | 0.937849i | ||||
\(66\) | −3.48079 | −0.428455 | ||||||||
\(67\) | 6.95421 | − | 4.01502i | 0.849592 | − | 0.490512i | −0.0109212 | − | 0.999940i | \(-0.503476\pi\) |
0.860513 | + | 0.509428i | \(0.170143\pi\) | |||||||
\(68\) | 4.74954 | − | 2.74215i | 0.575966 | − | 0.332534i | ||||
\(69\) | −2.31754 | + | 4.01410i | −0.279000 | + | 0.483241i | ||||
\(70\) | 6.11588 | + | 15.5694i | 0.730987 | + | 1.86090i | ||||
\(71\) | −1.31754 | + | 2.28205i | −0.156364 | + | 0.270830i | −0.933555 | − | 0.358435i | \(-0.883311\pi\) |
0.777191 | + | 0.629265i | \(0.216644\pi\) | |||||||
\(72\) | 8.94284 | + | 5.16315i | 1.05392 | + | 0.608483i | ||||
\(73\) | 10.3263i | 1.20860i | 0.796756 | + | 0.604301i | \(0.206547\pi\) | ||||
−0.796756 | + | 0.604301i | \(0.793453\pi\) | |||||||
\(74\) | −1.55794 | + | 2.69843i | −0.181107 | + | 0.313686i | ||||
\(75\) | −3.16683 | + | 10.2883i | −0.365674 | + | 1.18799i | ||||
\(76\) | −3.05794 | − | 5.29650i | −0.350770 | − | 0.607551i | ||||
\(77\) | 1.86624i | 0.212678i | ||||||||
\(78\) | 10.2189 | − | 16.9140i | 1.15706 | − | 1.91513i | ||||
\(79\) | −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 | ||||
\(81\) | 5.61588 | + | 9.72698i | 0.623986 | + | 1.08078i | ||||
\(82\) | −21.9620 | − | 12.6798i | −2.42530 | − | 1.40025i | ||||
\(83\) | − | 11.8452i | − | 1.30018i | −0.759855 | − | 0.650092i | \(-0.774730\pi\) | ||
0.759855 | − | 0.650092i | \(-0.225270\pi\) | |||||||
\(84\) | 14.1738 | − | 24.5498i | 1.54649 | − | 2.67860i | ||||
\(85\) | 0.407104 | − | 2.70640i | 0.0441566 | − | 0.293551i | ||||
\(86\) | 3.48079 | 0.375343 | ||||||||
\(87\) | 5.59346 | + | 3.22939i | 0.599682 | + | 0.346227i | ||||
\(88\) | −3.47351 | + | 2.00543i | −0.370277 | + | 0.213780i | ||||
\(89\) | −6.27912 | − | 10.8758i | −0.665585 | − | 1.15283i | −0.979126 | − | 0.203253i | \(-0.934849\pi\) |
0.313541 | − | 0.949575i | \(-0.398485\pi\) | |||||||
\(90\) | 8.66324 | − | 3.40304i | 0.913186 | − | 0.358712i | ||||
\(91\) | −9.06851 | − | 5.47890i | −0.950638 | − | 0.574344i | ||||
\(92\) | 9.64680i | 1.00575i | ||||||||
\(93\) | −16.7087 | + | 9.64680i | −1.73262 | + | 1.00033i | ||||
\(94\) | 7.84570 | + | 13.5891i | 0.809222 | + | 1.40161i | ||||
\(95\) | −3.01808 | − | 0.453987i | −0.309648 | − | 0.0465781i | ||||
\(96\) | 11.8073 | 1.20507 | ||||||||
\(97\) | 12.8031 | + | 7.39190i | 1.29996 | + | 0.750534i | 0.980397 | − | 0.197031i | \(-0.0631299\pi\) |
0.319565 | + | 0.947564i | \(0.396463\pi\) | |||||||
\(98\) | −3.60484 | − | 2.08125i | −0.364144 | − | 0.210238i | ||||
\(99\) | 1.03843 | 0.104366 | ||||||||
\(100\) | 4.99829 | + | 21.8393i | 0.499829 | + | 2.18393i | ||||
\(101\) | −6.61588 | − | 11.4590i | −0.658304 | − | 1.14022i | −0.981054 | − | 0.193732i | \(-0.937941\pi\) |
0.322750 | − | 0.946484i | \(-0.395393\pi\) | |||||||
\(102\) | −5.80951 | + | 3.35412i | −0.575228 | + | 0.332108i | ||||
\(103\) | − | 10.9686i | − | 1.08077i | −0.841419 | − | 0.540383i | \(-0.818279\pi\) | ||
0.841419 | − | 0.540383i | \(-0.181721\pi\) | |||||||
\(104\) | 0.452633 | − | 22.7661i | 0.0443843 | − | 2.23240i | ||||
\(105\) | −5.17218 | − | 13.1670i | −0.504753 | − | 1.28497i | ||||
\(106\) | 0.817544 | + | 1.41603i | 0.0794069 | + | 0.137537i | ||||
\(107\) | −9.24360 | + | 5.33680i | −0.893613 | + | 0.515928i | −0.875123 | − | 0.483901i | \(-0.839219\pi\) |
−0.0184903 | + | 0.999829i | \(0.505886\pi\) | |||||||
\(108\) | 11.4030 | + | 6.58351i | 1.09725 | + | 0.633499i | ||||
\(109\) | 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 | ||||
\(111\) | 1.31754 | − | 2.28205i | 0.125056 | − | 0.216603i | ||||
\(112\) | − | 20.9104i | − | 1.97584i | ||||||
\(113\) | −4.78895 | − | 2.76490i | −0.450507 | − | 0.260100i | 0.257537 | − | 0.966268i | \(-0.417089\pi\) |
−0.708044 | + | 0.706168i | \(0.750422\pi\) | |||||||
\(114\) | 3.74039 | + | 6.47855i | 0.350320 | + | 0.606772i | ||||
\(115\) | 3.76470 | + | 3.00042i | 0.351060 | + | 0.279790i | ||||
\(116\) | 13.4424 | 1.24809 | ||||||||
\(117\) | −3.04860 | + | 5.04596i | −0.281844 | + | 0.466499i | ||||
\(118\) | 19.3391i | 1.78031i | ||||||||
\(119\) | 1.79833 | + | 3.11480i | 0.164853 | + | 0.285533i | ||||
\(120\) | 18.9490 | − | 23.7757i | 1.72979 | − | 2.17041i | ||||
\(121\) | 5.29833 | − | 9.17698i | 0.481666 | − | 0.834271i | ||||
\(122\) | 5.77928i | 0.523231i | ||||||||
\(123\) | 18.5732 | + | 10.7233i | 1.67469 | + | 0.966884i | ||||
\(124\) | −20.0774 | + | 34.7752i | −1.80301 | + | 3.12290i | ||||
\(125\) | 10.0774 | + | 4.84201i | 0.901354 | + | 0.433082i | ||||
\(126\) | −6.11588 | + | 10.5930i | −0.544845 | + | 0.943700i | ||||
\(127\) | −14.9231 | + | 8.61586i | −1.32421 | + | 0.764534i | −0.984397 | − | 0.175959i | \(-0.943697\pi\) |
−0.339813 | + | 0.940493i | \(0.610364\pi\) | |||||||
\(128\) | −10.0947 | + | 5.82819i | −0.892256 | + | 0.515144i | ||||
\(129\) | −2.94369 | −0.259178 | ||||||||
\(130\) | −15.7930 | − | 13.1085i | −1.38513 | − | 1.14969i | ||||
\(131\) | 10.0000 | 0.873704 | 0.436852 | − | 0.899533i | \(-0.356093\pi\) | ||||
0.436852 | + | 0.899533i | \(0.356093\pi\) | |||||||
\(132\) | 5.30577 | − | 3.06329i | 0.461808 | − | 0.266625i | ||||
\(133\) | 3.47351 | − | 2.00543i | 0.301191 | − | 0.173893i | ||||
\(134\) | −10.2212 | + | 17.7036i | −0.882975 | + | 1.52936i | ||||
\(135\) | 6.11588 | − | 2.40240i | 0.526371 | − | 0.206765i | ||||
\(136\) | −3.86491 | + | 6.69422i | −0.331413 | + | 0.574025i | ||||
\(137\) | 7.51044 | + | 4.33616i | 0.641661 | + | 0.370463i | 0.785254 | − | 0.619174i | \(-0.212532\pi\) |
−0.143593 | + | 0.989637i | \(0.545866\pi\) | |||||||
\(138\) | − | 11.7997i | − | 1.00446i | ||||||
\(139\) | 7.16324 | − | 12.4071i | 0.607578 | − | 1.05236i | −0.384060 | − | 0.923308i | \(-0.625474\pi\) |
0.991638 | − | 0.129048i | \(-0.0411922\pi\) | |||||||
\(140\) | −23.0244 | − | 18.3502i | −1.94592 | − | 1.55087i | ||||
\(141\) | −6.63509 | − | 11.4923i | −0.558775 | − | 0.967827i | ||||
\(142\) | − | 6.70825i | − | 0.562944i | ||||||
\(143\) | −1.10528 | − | 2.00543i | −0.0924279 | − | 0.167703i | ||||
\(144\) | −11.6351 | −0.969591 | ||||||||
\(145\) | 4.18094 | − | 5.24592i | 0.347208 | − | 0.435650i | ||||
\(146\) | −13.1440 | − | 22.7661i | −1.08781 | − | 1.88414i | ||||
\(147\) | 3.04860 | + | 1.76011i | 0.251445 | + | 0.145172i | ||||
\(148\) | − | 5.48429i | − | 0.450806i | ||||||
\(149\) | −8.57745 | + | 14.8566i | −0.702692 | + | 1.21710i | 0.264826 | + | 0.964296i | \(0.414685\pi\) |
−0.967518 | + | 0.252802i | \(0.918648\pi\) | |||||||
\(150\) | −6.11379 | − | 26.7132i | −0.499189 | − | 2.18113i | ||||
\(151\) | −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 | ||||
\(153\) | 1.73316 | − | 1.00064i | 0.140118 | − | 0.0808969i | ||||
\(154\) | −2.37548 | − | 4.11446i | −0.191422 | − | 0.331552i | ||||
\(155\) | 7.32648 | + | 18.6513i | 0.588477 | + | 1.49811i | ||||
\(156\) | −0.691395 | + | 34.7752i | −0.0553559 | + | 2.78424i | ||||
\(157\) | − | 18.3646i | − | 1.46566i | −0.680413 | − | 0.732829i | \(-0.738200\pi\) | ||
0.680413 | − | 0.732829i | \(-0.261800\pi\) | |||||||
\(158\) | 2.28939 | − | 1.32178i | 0.182134 | − | 0.105155i | ||||
\(159\) | −0.691395 | − | 1.19753i | −0.0548312 | − | 0.0949705i | ||||
\(160\) | 1.82415 | − | 12.1268i | 0.144211 | − | 0.958709i | ||||
\(161\) | −6.32648 | −0.498597 | ||||||||
\(162\) | −24.7624 | − | 14.2966i | −1.94551 | − | 1.12324i | ||||
\(163\) | −3.47351 | − | 2.00543i | −0.272066 | − | 0.157078i | 0.357760 | − | 0.933814i | \(-0.383541\pi\) |
−0.629826 | + | 0.776736i | \(0.716874\pi\) | |||||||
\(164\) | 44.6357 | 3.48546 | ||||||||
\(165\) | 0.454782 | − | 3.02336i | 0.0354047 | − | 0.235368i | ||||
\(166\) | 15.0774 | + | 26.1149i | 1.17024 | + | 2.02691i | ||||
\(167\) | 2.54486 | − | 1.46928i | 0.196927 | − | 0.113696i | −0.398294 | − | 0.917258i | \(-0.630398\pi\) |
0.595221 | + | 0.803562i | \(0.297064\pi\) | |||||||
\(168\) | 39.9545i | 3.08256i | ||||||||
\(169\) | 12.9897 | + | 0.516725i | 0.999210 | + | 0.0397480i | ||||
\(170\) | 2.54737 | + | 6.48493i | 0.195374 | + | 0.497371i | ||||
\(171\) | −1.11588 | − | 1.93275i | −0.0853331 | − | 0.147801i | ||||
\(172\) | −5.30577 | + | 3.06329i | −0.404561 | + | 0.233574i | ||||
\(173\) | 1.18412 | + | 0.683650i | 0.0900267 | + | 0.0519769i | 0.544337 | − | 0.838866i | \(-0.316781\pi\) |
−0.454311 | + | 0.890843i | \(0.650114\pi\) | |||||||
\(174\) | −16.4424 | −1.24649 | ||||||||
\(175\) | −14.3224 | + | 3.27794i | −1.08267 | + | 0.247789i | ||||
\(176\) | 2.25961 | − | 3.91375i | 0.170324 | − | 0.295010i | ||||
\(177\) | − | 16.3550i | − | 1.22932i | ||||||
\(178\) | 27.6868 | + | 15.9850i | 2.07522 | + | 1.19813i | ||||
\(179\) | 3.89306 | + | 6.74299i | 0.290981 | + | 0.503994i | 0.974042 | − | 0.226367i | \(-0.0726849\pi\) |
−0.683061 | + | 0.730362i | \(0.739352\pi\) | |||||||
\(180\) | −10.2105 | + | 12.8114i | −0.761048 | + | 0.954905i | ||||
\(181\) | −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 | ||||
\(183\) | − | 4.88752i | − | 0.361296i | ||||||
\(184\) | −6.79833 | − | 11.7751i | −0.501180 | − | 0.868069i | ||||
\(185\) | −2.14026 | − | 1.70576i | −0.157355 | − | 0.125410i | ||||
\(186\) | 24.5582 | − | 42.5361i | 1.80070 | − | 3.11890i | ||||
\(187\) | 0.777322i | 0.0568434i | ||||||||
\(188\) | −23.9184 | − | 13.8093i | −1.74443 | − | 1.00715i | ||||
\(189\) | −4.31754 | + | 7.47821i | −0.314055 | + | 0.543959i | ||||
\(190\) | 7.23175 | − | 2.84073i | 0.524646 | − | 0.206088i | ||||
\(191\) | −2.47185 | + | 4.28136i | −0.178857 | + | 0.309789i | −0.941489 | − | 0.337043i | \(-0.890573\pi\) |
0.762633 | + | 0.646832i | \(0.223906\pi\) | |||||||
\(192\) | 0.503743 | − | 0.290836i | 0.0363545 | − | 0.0209893i | ||||
\(193\) | −4.29240 | + | 2.47822i | −0.308974 | + | 0.178386i | −0.646467 | − | 0.762942i | \(-0.723754\pi\) |
0.337493 | + | 0.941328i | \(0.390421\pi\) | |||||||
\(194\) | −37.6357 | −2.70208 | ||||||||
\(195\) | 13.3561 | + | 11.0858i | 0.956449 | + | 0.793874i | ||||
\(196\) | 7.32648 | 0.523320 | ||||||||
\(197\) | 5.84174 | − | 3.37273i | 0.416207 | − | 0.240297i | −0.277246 | − | 0.960799i | \(-0.589422\pi\) |
0.693453 | + | 0.720502i | \(0.256088\pi\) | |||||||
\(198\) | −2.28939 | + | 1.32178i | −0.162700 | + | 0.0939349i | ||||
\(199\) | 2.58772 | − | 4.48207i | 0.183439 | − | 0.317725i | −0.759611 | − | 0.650378i | \(-0.774610\pi\) |
0.943049 | + | 0.332653i | \(0.107944\pi\) | |||||||
\(200\) | −21.4917 | − | 23.1350i | −1.51969 | − | 1.63589i | ||||
\(201\) | 8.64403 | − | 14.9719i | 0.609703 | − | 1.05604i | ||||
\(202\) | 29.1717 | + | 16.8423i | 2.05251 | + | 1.18502i | ||||
\(203\) | 8.81566i | 0.618738i | ||||||||
\(204\) | 5.90364 | − | 10.2254i | 0.413337 | − | 0.715921i | ||||
\(205\) | 13.8829 | − | 17.4192i | 0.969625 | − | 1.21661i | ||||
\(206\) | 13.9616 | + | 24.1822i | 0.972749 | + | 1.68485i | ||||
\(207\) | 3.52022i | 0.244673i | ||||||||
\(208\) | 12.3841 | + | 22.4699i | 0.858684 | + | 1.55801i | ||||
\(209\) | 0.866840 | 0.0599606 | ||||||||
\(210\) | 28.1629 | + | 22.4455i | 1.94342 | + | 1.54889i | ||||
\(211\) | 7.00894 | + | 12.1398i | 0.482515 | + | 0.835741i | 0.999799 | − | 0.0200732i | \(-0.00638994\pi\) |
−0.517283 | + | 0.855814i | \(0.673057\pi\) | |||||||
\(212\) | −2.49237 | − | 1.43897i | −0.171177 | − | 0.0988289i | ||||
\(213\) | 5.67315i | 0.388718i | ||||||||
\(214\) | 13.5861 | − | 23.5318i | 0.928726 | − | 1.60860i | ||||
\(215\) | −0.454782 | + | 3.02336i | −0.0310158 | + | 0.206191i | ||||
\(216\) | −18.5582 | −1.26273 | ||||||||
\(217\) | −22.8060 | − | 13.1670i | −1.54817 | − | 0.893836i | ||||
\(218\) | −7.20968 | + | 4.16251i | −0.488301 | + | 0.281921i | ||||
\(219\) | 11.1159 | + | 19.2533i | 0.751141 | + | 1.30101i | ||||
\(220\) | −2.32648 | − | 5.92262i | −0.156852 | − | 0.399303i | ||||
\(221\) | −3.77719 | − | 2.28205i | −0.254081 | − | 0.153508i | ||||
\(222\) | 6.70825i | 0.450228i | ||||||||
\(223\) | 0.00719226 | − | 0.00415245i | 0.000481629 | − | 0.000278069i | −0.499759 | − | 0.866164i | \(-0.666578\pi\) |
0.500241 | + | 0.865886i | \(0.333245\pi\) | |||||||
\(224\) | 8.05794 | + | 13.9568i | 0.538394 | + | 0.932525i | ||||
\(225\) | 1.82393 | + | 7.96939i | 0.121596 | + | 0.531293i | ||||
\(226\) | 14.0774 | 0.936418 | ||||||||
\(227\) | −9.75454 | − | 5.63179i | −0.647431 | − | 0.373795i | 0.140040 | − | 0.990146i | \(-0.455277\pi\) |
−0.787471 | + | 0.616351i | \(0.788610\pi\) | |||||||
\(228\) | −11.4030 | − | 6.58351i | −0.755181 | − | 0.436004i | ||||
\(229\) | 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 | ||||
\(231\) | 2.00894 | + | 3.47959i | 0.132179 | + | 0.228940i | ||||
\(232\) | −16.4080 | + | 9.47315i | −1.07724 | + | 0.621943i | ||||
\(233\) | − | 6.94941i | − | 0.455271i | −0.973746 | − | 0.227636i | \(-0.926900\pi\) | ||
0.973746 | − | 0.227636i | \(-0.0730995\pi\) | |||||||
\(234\) | 0.298331 | − | 15.0052i | 0.0195025 | − | 0.980919i | ||||
\(235\) | −12.8284 | + | 5.03917i | −0.836833 | + | 0.328719i | ||||
\(236\) | −17.0195 | − | 29.4787i | −1.10788 | − | 1.91890i | ||||
\(237\) | −1.93613 | + | 1.11783i | −0.125765 | + | 0.0726107i | ||||
\(238\) | −7.92947 | − | 4.57808i | −0.513991 | − | 0.296753i | ||||
\(239\) | −4.00000 | −0.258738 | −0.129369 | − | 0.991596i | \(-0.541295\pi\) | ||||
−0.129369 | + | 0.991596i | \(0.541295\pi\) | |||||||
\(240\) | −5.09562 | + | 33.8753i | −0.328921 | + | 2.18664i | ||||
\(241\) | −9.88605 | + | 17.1231i | −0.636817 | + | 1.10300i | 0.349310 | + | 0.937007i | \(0.386416\pi\) |
−0.986127 | + | 0.165992i | \(0.946917\pi\) | |||||||
\(242\) | 26.9763i | 1.73410i | ||||||||
\(243\) | 13.3069 | + | 7.68273i | 0.853637 | + | 0.492848i | ||||
\(244\) | −5.08609 | − | 8.80937i | −0.325604 | − | 0.563962i | ||||
\(245\) | 2.27874 | − | 2.85918i | 0.145583 | − | 0.182667i | ||||
\(246\) | −54.5973 | −3.48099 | ||||||||
\(247\) | −2.54486 | + | 4.21218i | −0.161926 | + | 0.268015i | ||||
\(248\) | − | 56.5962i | − | 3.59386i | ||||||
\(249\) | −12.7510 | − | 22.0853i | −0.808060 | − | 1.39960i | ||||
\(250\) | −28.3807 | + | 2.15223i | −1.79496 | + | 0.136119i | ||||
\(251\) | −1.83676 | + | 3.18136i | −0.115935 | + | 0.200806i | −0.918153 | − | 0.396226i | \(-0.870320\pi\) |
0.802218 | + | 0.597031i | \(0.203653\pi\) | |||||||
\(252\) | − | 21.5293i | − | 1.35622i | ||||||
\(253\) | −1.18412 | − | 0.683650i | −0.0744447 | − | 0.0429807i | ||||
\(254\) | 21.9337 | − | 37.9903i | 1.37624 | − | 2.38372i | ||||
\(255\) | −2.15430 | − | 5.48429i | −0.134908 | − | 0.343440i | ||||
\(256\) | 14.5669 | − | 25.2306i | 0.910430 | − | 1.57691i | ||||
\(257\) | −11.4877 | + | 6.63242i | −0.716583 | + | 0.413719i | −0.813494 | − | 0.581574i | \(-0.802437\pi\) |
0.0969108 | + | 0.995293i | \(0.469104\pi\) | |||||||
\(258\) | 6.48989 | − | 3.74694i | 0.404043 | − | 0.233274i | ||||
\(259\) | 3.59666 | 0.223486 | ||||||||
\(260\) | 35.6095 | + | 6.08264i | 2.20841 | + | 0.377230i | ||||
\(261\) | 4.90527 | 0.303628 | ||||||||
\(262\) | −22.0467 | + | 12.7287i | −1.36205 | + | 0.786381i | ||||
\(263\) | 26.2150 | − | 15.1352i | 1.61649 | − | 0.933279i | 0.628667 | − | 0.777674i | \(-0.283601\pi\) |
0.987819 | − | 0.155605i | \(-0.0497327\pi\) | |||||||
\(264\) | −4.31754 | + | 7.47821i | −0.265726 | + | 0.460252i | ||||
\(265\) | −1.33676 | + | 0.525096i | −0.0821164 | + | 0.0322564i | ||||
\(266\) | −5.10530 | + | 8.84265i | −0.313026 | + | 0.542177i | ||||
\(267\) | −23.4147 | − | 13.5185i | −1.43296 | − | 0.827317i | ||||
\(268\) | − | 35.9809i | − | 2.19788i | ||||||
\(269\) | −11.1248 | + | 19.2687i | −0.678292 | + | 1.17484i | 0.297203 | + | 0.954814i | \(0.403946\pi\) |
−0.975495 | + | 0.220022i | \(0.929387\pi\) | |||||||
\(270\) | −10.4256 | + | 13.0812i | −0.634480 | + | 0.796097i | ||||
\(271\) | 5.91421 | + | 10.2437i | 0.359262 | + | 0.622261i | 0.987838 | − | 0.155488i | \(-0.0496950\pi\) |
−0.628575 | + | 0.777749i | \(0.716362\pi\) | |||||||
\(272\) | − | 8.70953i | − | 0.528093i | ||||||
\(273\) | −22.8060 | − | 0.453425i | −1.38028 | − | 0.0274425i | ||||
\(274\) | −22.0774 | −1.33375 | ||||||||
\(275\) | −3.03492 | − | 0.934179i | −0.183013 | − | 0.0563331i | ||||
\(276\) | 10.3844 | + | 17.9863i | 0.625069 | + | 1.08265i | ||||
\(277\) | 14.5363 | + | 8.39254i | 0.873402 | + | 0.504259i | 0.868477 | − | 0.495729i | \(-0.165099\pi\) |
0.00492452 | + | 0.999988i | \(0.498432\pi\) | |||||||
\(278\) | 36.4715i | 2.18741i | ||||||||
\(279\) | −7.32648 | + | 12.6898i | −0.438625 | + | 0.759721i | ||||
\(280\) | 41.0358 | + | 6.17271i | 2.45236 | + | 0.368890i | ||||
\(281\) | −10.5967 | −0.632144 | −0.316072 | − | 0.948735i | \(-0.602364\pi\) | ||||
−0.316072 | + | 0.948735i | \(0.602364\pi\) | |||||||
\(282\) | 29.2564 | + | 16.8912i | 1.74219 | + | 1.00586i | ||||
\(283\) | −7.63458 | + | 4.40783i | −0.453829 | + | 0.262018i | −0.709446 | − | 0.704760i | \(-0.751055\pi\) |
0.255617 | + | 0.966778i | \(0.417721\pi\) | |||||||
\(284\) | 5.90364 | + | 10.2254i | 0.350316 | + | 0.606766i | ||||
\(285\) | −6.11588 | + | 2.40240i | −0.362273 | + | 0.142306i | ||||
\(286\) | 4.98943 | + | 3.01445i | 0.295031 | + | 0.178248i | ||||
\(287\) | 29.2726i | 1.72791i | ||||||||
\(288\) | 7.76591 | − | 4.48365i | 0.457611 | − | 0.264202i | ||||
\(289\) | −7.75096 | − | 13.4251i | −0.455939 | − | 0.789710i | ||||
\(290\) | −2.54024 | + | 16.8873i | −0.149168 | + | 0.991659i | ||||
\(291\) | 31.8284 | 1.86581 | ||||||||
\(292\) | 40.0709 | + | 23.1350i | 2.34497 | + | 1.35387i | ||||
\(293\) | 24.4675 | + | 14.1263i | 1.42940 | + | 0.825267i | 0.997074 | − | 0.0764476i | \(-0.0243578\pi\) |
0.432331 | + | 0.901715i | \(0.357691\pi\) | |||||||
\(294\) | −8.96157 | −0.522650 | ||||||||
\(295\) | −16.7977 | − | 2.52675i | −0.977999 | − | 0.147113i | ||||
\(296\) | 3.86491 | + | 6.69422i | 0.224643 | + | 0.389094i | ||||
\(297\) | −1.61621 | + | 0.933121i | −0.0937822 | + | 0.0541452i | ||||
\(298\) | − | 43.6719i | − | 2.52984i | ||||||
\(299\) | 6.79833 | − | 3.74685i | 0.393158 | − | 0.216686i | ||||
\(300\) | 32.8284 | + | 35.3386i | 1.89535 | + | 2.04027i | ||||
\(301\) | −2.00894 | − | 3.47959i | −0.115793 | − | 0.200560i | ||||
\(302\) | 47.1421 | − | 27.2175i | 2.71272 | − | 1.56619i | ||||
\(303\) | −24.6704 | − | 14.2435i | −1.41728 | − | 0.818267i | ||||
\(304\) | −9.71254 | −0.557052 | ||||||||
\(305\) | −5.01980 | − | 0.755091i | −0.287433 | − | 0.0432364i | ||||
\(306\) | −2.54737 | + | 4.41217i | −0.145623 | + | 0.252227i | ||||
\(307\) | − | 12.7219i | − | 0.726077i | −0.931774 | − | 0.363039i | \(-0.881739\pi\) | ||
0.931774 | − | 0.363039i | \(-0.118261\pi\) | |||||||
\(308\) | 7.24190 | + | 4.18112i | 0.412646 | + | 0.238241i | ||||
\(309\) | −11.8073 | − | 20.4508i | −0.671692 | − | 1.16340i | ||||
\(310\) | −39.8932 | − | 31.7944i | −2.26578 | − | 1.80580i | ||||
\(311\) | 27.9231 | 1.58338 | 0.791688 | − | 0.610925i | \(-0.209202\pi\) | ||||
0.791688 | + | 0.610925i | \(0.209202\pi\) | |||||||
\(312\) | −23.6630 | − | 42.9344i | −1.33965 | − | 2.43068i | ||||
\(313\) | 24.5807i | 1.38938i | 0.719307 | + | 0.694692i | \(0.244460\pi\) | ||||
−0.719307 | + | 0.694692i | \(0.755540\pi\) | |||||||
\(314\) | 23.3758 | + | 40.4880i | 1.31917 | + | 2.28487i | ||||
\(315\) | −8.40186 | − | 6.69619i | −0.473391 | − | 0.377287i | ||||
\(316\) | −2.32648 | + | 4.02959i | −0.130875 | + | 0.226682i | ||||
\(317\) | 0.234377i | 0.0131639i | 0.999978 | + | 0.00658196i | \(0.00209512\pi\) | ||||
−0.999978 | + | 0.00658196i | \(0.997905\pi\) | |||||||
\(318\) | 3.04860 | + | 1.76011i | 0.170957 | + | 0.0987022i | ||||
\(319\) | −0.952633 | + | 1.65001i | −0.0533372 | + | 0.0923828i | ||||
\(320\) | −0.220882 | − | 0.562309i | −0.0123477 | − | 0.0314340i | ||||
\(321\) | −11.4897 | + | 19.9008i | −0.641294 | + | 1.11075i | ||||
\(322\) | 13.9478 | − | 8.05279i | 0.777283 | − | 0.448764i | ||||
\(323\) | 1.44678 | − | 0.835296i | 0.0805008 | − | 0.0464771i | ||||
\(324\) | 50.3271 | 2.79595 | ||||||||
\(325\) | 13.4493 | − | 12.0048i | 0.746033 | − | 0.665909i | ||||
\(326\) | 10.2106 | 0.565513 | ||||||||
\(327\) | 6.09721 | − | 3.52022i | 0.337176 | − | 0.194669i | ||||
\(328\) | −54.4831 | + | 31.4558i | −3.00833 | + | 1.73686i | ||||
\(329\) | 9.05631 | − | 15.6860i | 0.499290 | − | 0.864796i | ||||
\(330\) | 2.84570 | + | 7.24440i | 0.156651 | + | 0.398791i | ||||
\(331\) | 9.16324 | − | 15.8712i | 0.503657 | − | 0.872360i | −0.496334 | − | 0.868132i | \(-0.665321\pi\) |
0.999991 | − | 0.00422829i | \(-0.00134591\pi\) | |||||||
\(332\) | −45.9652 | − | 26.5380i | −2.52267 | − | 1.45646i | ||||
\(333\) | − | 2.00128i | − | 0.109669i | ||||||
\(334\) | −3.74039 | + | 6.47855i | −0.204665 | + | 0.354491i | ||||
\(335\) | −14.0416 | − | 11.1910i | −0.767177 | − | 0.611431i | ||||
\(336\) | −22.5092 | − | 38.9871i | −1.22798 | − | 2.12692i | ||||
\(337\) | 21.2949i | 1.16001i | 0.814614 | + | 0.580003i | \(0.196949\pi\) | ||||
−0.814614 | + | 0.580003i | \(0.803051\pi\) | |||||||
\(338\) | −29.2958 | + | 15.3950i | −1.59348 | + | 0.837379i | ||||
\(339\) | −11.9053 | −0.646605 | ||||||||
\(340\) | −9.59006 | − | 7.64317i | −0.520094 | − | 0.414509i | ||||
\(341\) | −2.84570 | − | 4.92889i | −0.154103 | − | 0.266915i | ||||
\(342\) | 4.92028 | + | 2.84073i | 0.266059 | + | 0.153609i | ||||
\(343\) | − | 15.7651i | − | 0.851234i | ||||||
\(344\) | 4.31754 | − | 7.47821i | 0.232786 | − | 0.403198i | ||||
\(345\) | 10.2491 | + | 1.54169i | 0.551791 | + | 0.0830019i | ||||
\(346\) | −3.48079 | −0.187128 | ||||||||
\(347\) | −3.30407 | − | 1.90761i | −0.177372 | − | 0.102406i | 0.408685 | − | 0.912675i | \(-0.365987\pi\) |
−0.586057 | + | 0.810270i | \(0.699321\pi\) | |||||||
\(348\) | 25.0631 | − | 14.4702i | 1.34352 | − | 0.775684i | ||||
\(349\) | 12.1632 | + | 21.0674i | 0.651083 | + | 1.12771i | 0.982860 | + | 0.184352i | \(0.0590185\pi\) |
−0.331777 | + | 0.943358i | \(0.607648\pi\) | |||||||
\(350\) | 27.4039 | − | 25.4574i | 1.46480 | − | 1.36075i | ||||
\(351\) | 0.210609 | − | 10.5930i | 0.0112415 | − | 0.565413i | ||||
\(352\) | 3.48301i | 0.185645i | ||||||||
\(353\) | −23.4338 | + | 13.5295i | −1.24726 | + | 0.720104i | −0.970562 | − | 0.240853i | \(-0.922573\pi\) |
−0.276696 | + | 0.960958i | \(0.589239\pi\) | |||||||
\(354\) | 20.8178 | + | 36.0576i | 1.10646 | + | 1.91644i | ||||
\(355\) | 5.82669 | + | 0.876465i | 0.309248 | + | 0.0465179i | ||||
\(356\) | −56.2708 | −2.98235 | ||||||||
\(357\) | 6.70593 | + | 3.87167i | 0.354916 | + | 0.204911i | ||||
\(358\) | −17.1659 | − | 9.91073i | −0.907245 | − | 0.523798i | ||||
\(359\) | −27.0039 | −1.42521 | −0.712605 | − | 0.701566i | \(-0.752485\pi\) | ||||
−0.712605 | + | 0.701566i | \(0.752485\pi\) | |||||||
\(360\) | 3.43466 | − | 22.8334i | 0.181023 | − | 1.20343i | ||||
\(361\) | 8.56851 | + | 14.8411i | 0.450974 | + | 0.781110i | ||||
\(362\) | 8.52512 | − | 4.92198i | 0.448071 | − | 0.258694i | ||||
\(363\) | − | 22.8138i | − | 1.19742i | ||||||
\(364\) | −41.5777 | + | 22.9152i | −2.17927 | + | 1.20108i | ||||
\(365\) | 21.4917 | − | 8.44221i | 1.12492 | − | 0.441885i | ||||
\(366\) | 6.22118 | + | 10.7754i | 0.325186 | + | 0.563239i | ||||
\(367\) | 6.01118 | − | 3.47055i | 0.313781 | − | 0.181161i | −0.334836 | − | 0.942276i | \(-0.608681\pi\) |
0.648617 | + | 0.761115i | \(0.275348\pi\) | |||||||
\(368\) | 13.2675 | + | 7.65998i | 0.691615 | + | 0.399304i | ||||
\(369\) | 16.2881 | 0.847922 | ||||||||
\(370\) | 6.88980 | + | 1.03638i | 0.358184 | + | 0.0538789i | ||||
\(371\) | 0.943693 | − | 1.63452i | 0.0489941 | − | 0.0848603i | ||||
\(372\) | 86.4505i | 4.48225i | ||||||||
\(373\) | −2.00301 | − | 1.15644i | −0.103712 | − | 0.0598781i | 0.447247 | − | 0.894411i | \(-0.352405\pi\) |
−0.550959 | + | 0.834532i | \(0.685738\pi\) | |||||||
\(374\) | −0.989429 | − | 1.71374i | −0.0511622 | − | 0.0886154i | ||||
\(375\) | 24.0015 | − | 1.82013i | 1.23943 | − | 0.0939913i | ||||
\(376\) | 38.9270 | 2.00751 | ||||||||
\(377\) | −5.22105 | − | 9.47315i | −0.268898 | − | 0.487892i | ||||
\(378\) | − | 21.9827i | − | 1.13067i | ||||||
\(379\) | 2.58772 | + | 4.48207i | 0.132922 | + | 0.230228i | 0.924802 | − | 0.380449i | \(-0.124231\pi\) |
−0.791880 | + | 0.610677i | \(0.790897\pi\) | |||||||
\(380\) | −8.52337 | + | 10.6945i | −0.437240 | + | 0.548615i | ||||
\(381\) | −18.5493 | + | 32.1283i | −0.950309 | + | 1.64598i | ||||
\(382\) | − | 12.5854i | − | 0.643923i | ||||||
\(383\) | 17.8929 | + | 10.3305i | 0.914283 | + | 0.527861i | 0.881807 | − | 0.471611i | \(-0.156327\pi\) |
0.0324760 | + | 0.999473i | \(0.489661\pi\) | |||||||
\(384\) | −12.5477 | + | 21.7332i | −0.640320 | + | 1.10907i | ||||
\(385\) | 3.88412 | − | 1.52574i | 0.197953 | − | 0.0777587i | ||||
\(386\) | 6.30890 | − | 10.9273i | 0.321115 | − | 0.556187i | ||||
\(387\) | −1.93613 | + | 1.11783i | −0.0984193 | + | 0.0568224i | ||||
\(388\) | 57.3682 | − | 33.1215i | 2.91243 | − | 1.68149i | ||||
\(389\) | −19.7477 | −1.00125 | −0.500624 | − | 0.865665i | \(-0.666896\pi\) | ||||
−0.500624 | + | 0.865665i | \(0.666896\pi\) | |||||||
\(390\) | −43.5566 | − | 7.44014i | −2.20558 | − | 0.376746i | ||||
\(391\) | −2.63509 | −0.133262 | ||||||||
\(392\) | −8.94284 | + | 5.16315i | −0.451681 | + | 0.260778i | ||||
\(393\) | 18.6449 | − | 10.7646i | 0.940510 | − | 0.543004i | ||||
\(394\) | −8.58609 | + | 14.8715i | −0.432561 | + | 0.749218i | ||||
\(395\) | 0.848960 | + | 2.16123i | 0.0427158 | + | 0.108743i | ||||
\(396\) | 2.32648 | − | 4.02959i | 0.116910 | − | 0.202494i | ||||
\(397\) | −8.13113 | − | 4.69451i | −0.408090 | − | 0.235611i | 0.281879 | − | 0.959450i | \(-0.409042\pi\) |
−0.689969 | + | 0.723839i | \(0.742376\pi\) | |||||||
\(398\) | 13.1753i | 0.660420i | ||||||||
\(399\) | 4.31754 | − | 7.47821i | 0.216148 | − | 0.374379i | ||||
\(400\) | 34.0049 | + | 10.4670i | 1.70024 | + | 0.523352i | ||||
\(401\) | −12.2510 | − | 21.2193i | −0.611784 | − | 1.05964i | −0.990940 | − | 0.134308i | \(-0.957119\pi\) |
0.379156 | − | 0.925333i | \(-0.376214\pi\) | |||||||
\(402\) | 44.0109i | 2.19506i | ||||||||
\(403\) | 32.3050 | + | 0.642285i | 1.60923 | + | 0.0319945i | ||||
\(404\) | −59.2887 | −2.94972 | ||||||||
\(405\) | 15.6531 | − | 19.6403i | 0.777809 | − | 0.975935i | ||||
\(406\) | −11.2212 | − | 19.4357i | −0.556898 | − | 0.964575i | ||||
\(407\) | 0.673180 | + | 0.388661i | 0.0333683 | + | 0.0192652i | ||||
\(408\) | 16.6417i | 0.823889i | ||||||||
\(409\) | 18.0582 | − | 31.2778i | 0.892922 | − | 1.54659i | 0.0565671 | − | 0.998399i | \(-0.481985\pi\) |
0.836355 | − | 0.548188i | \(-0.184682\pi\) | |||||||
\(410\) | −8.43492 | + | 56.0749i | −0.416571 | + | 2.76934i | ||||
\(411\) | 18.6708 | 0.920965 | ||||||||
\(412\) | −42.5633 | − | 24.5739i | −2.09694 | − | 1.21067i | ||||
\(413\) | 19.3324 | − | 11.1616i | 0.951288 | − | 0.549226i | ||||
\(414\) | −4.48079 | − | 7.76095i | −0.220219 | − | 0.381430i | ||||
\(415\) | −24.6530 | + | 9.68401i | −1.21017 | + | 0.475370i | ||||
\(416\) | −16.9248 | − | 10.2254i | −0.829805 | − | 0.501341i | ||||
\(417\) | − | 30.8439i | − | 1.51043i | ||||||
\(418\) | −1.91110 | + | 1.10337i | −0.0934749 | + | 0.0539678i | ||||
\(419\) | −3.43342 | − | 5.94686i | −0.167734 | − | 0.290523i | 0.769889 | − | 0.638178i | \(-0.220311\pi\) |
−0.937623 | + | 0.347655i | \(0.886978\pi\) | |||||||
\(420\) | −62.6820 | − | 9.42879i | −3.05857 | − | 0.460078i | ||||
\(421\) | 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 | ||||
\(423\) | −8.72810 | − | 5.03917i | −0.424375 | − | 0.245013i | ||||
\(424\) | 4.05631 | 0.196992 | ||||||||
\(425\) | −5.96554 | + | 1.36532i | −0.289371 | + | 0.0662277i | ||||
\(426\) | −7.22118 | − | 12.5075i | −0.349867 | − | 0.605988i | ||||
\(427\) | 5.77729 | − | 3.33552i | 0.279582 | − | 0.161417i | ||||
\(428\) | 47.8261i | 2.31176i | ||||||||
\(429\) | −4.21955 | − | 2.54931i | −0.203722 | − | 0.123082i | ||||
\(430\) | −2.84570 | − | 7.24440i | −0.137232 | − | 0.349356i | ||||
\(431\) | 8.12482 | + | 14.0726i | 0.391359 | + | 0.677853i | 0.992629 | − | 0.121193i | \(-0.0386719\pi\) |
−0.601270 | + | 0.799046i | \(0.705339\pi\) | |||||||
\(432\) | 18.1089 | − | 10.4552i | 0.871265 | − | 0.503025i | ||||
\(433\) | −0.221929 | − | 0.128130i | −0.0106652 | − | 0.00615756i | 0.494658 | − | 0.869088i | \(-0.335293\pi\) |
−0.505323 | + | 0.862930i | \(0.668627\pi\) | |||||||
\(434\) | 67.0396 | 3.21800 | ||||||||
\(435\) | 2.14827 | − | 14.2816i | 0.103002 | − | 0.684750i | ||||
\(436\) | 7.32648 | − | 12.6898i | 0.350875 | − | 0.607733i | ||||
\(437\) | 2.93855i | 0.140570i | ||||||||
\(438\) | −49.0138 | − | 28.2981i | −2.34197 | − | 1.35214i | ||||
\(439\) | −3.79833 | − | 6.57890i | −0.181284 | − | 0.313994i | 0.761034 | − | 0.648712i | \(-0.224692\pi\) |
−0.942318 | + | 0.334718i | \(0.891359\pi\) | |||||||
\(440\) | 7.01356 | + | 5.58973i | 0.334358 | + | 0.266480i | ||||
\(441\) | 2.67352 | 0.127310 | ||||||||
\(442\) | 11.2322 | + | 0.223318i | 0.534263 | + | 0.0106221i | ||||
\(443\) | 4.32246i | 0.205366i | 0.994714 | + | 0.102683i | \(0.0327428\pi\) | ||||
−0.994714 | + | 0.102683i | \(0.967257\pi\) | |||||||
\(444\) | −5.90364 | − | 10.2254i | −0.280174 | − | 0.485276i | ||||
\(445\) | −17.5017 | + | 21.9599i | −0.829663 | + | 1.04100i | ||||
\(446\) | −0.0105711 | + | 0.0183096i | −0.000500554 | + | 0.000866986i | ||||
\(447\) | 36.9332i | 1.74688i | ||||||||
\(448\) | 0.687565 | + | 0.396966i | 0.0324844 | + | 0.0187549i | ||||
\(449\) | 1.64403 | − | 2.84754i | 0.0775865 | − | 0.134384i | −0.824622 | − | 0.565685i | \(-0.808612\pi\) |
0.902208 | + | 0.431301i | \(0.141945\pi\) | |||||||
\(450\) | −14.1652 | − | 15.2483i | −0.667753 | − | 0.718811i | ||||
\(451\) | −3.16324 | + | 5.47890i | −0.148951 | + | 0.257991i | ||||
\(452\) | −21.4583 | + | 12.3889i | −1.00931 | + | 0.582727i | ||||
\(453\) | −39.8680 | + | 23.0178i | −1.87316 | + | 1.08147i | ||||
\(454\) | 28.6741 | 1.34574 | ||||||||
\(455\) | −3.98907 | + | 23.3531i | −0.187010 | + | 1.09481i | ||||
\(456\) | 18.5582 | 0.869069 | ||||||||
\(457\) | 13.3594 | − | 7.71304i | 0.624925 | − | 0.360801i | −0.153859 | − | 0.988093i | \(-0.549170\pi\) |
0.778784 | + | 0.627292i | \(0.215837\pi\) | |||||||
\(458\) | −36.4661 | + | 21.0537i | −1.70395 | + | 0.983775i | ||||
\(459\) | −1.79833 | + | 3.11480i | −0.0839389 | + | 0.145386i | ||||
\(460\) | 20.0774 | − | 7.88669i | 0.936116 | − | 0.367719i | ||||
\(461\) | −12.9424 | + | 22.4168i | −0.602786 | + | 1.04406i | 0.389611 | + | 0.920979i | \(0.372609\pi\) |
−0.992397 | + | 0.123076i | \(0.960724\pi\) | |||||||
\(462\) | −8.85812 | − | 5.11424i | −0.412117 | − | 0.237936i | ||||
\(463\) | 7.04045i | 0.327197i | 0.986527 | + | 0.163599i | \(0.0523102\pi\) | ||||
−0.986527 | + | 0.163599i | \(0.947690\pi\) | |||||||
\(464\) | 10.6738 | − | 18.4876i | 0.495519 | − | 0.858265i | ||||
\(465\) | 33.7376 | + | 26.8885i | 1.56454 | + | 1.24692i | ||||
\(466\) | 8.84570 | + | 15.3212i | 0.409769 | + | 0.709741i | ||||
\(467\) | − | 18.8113i | − | 0.870482i | −0.900314 | − | 0.435241i | \(-0.856663\pi\) | ||
0.900314 | − | 0.435241i | \(-0.143337\pi\) | |||||||
\(468\) | 12.7507 | + | 23.1350i | 0.589399 | + | 1.06941i | ||||
\(469\) | 23.5967 | 1.08959 | ||||||||
\(470\) | 21.8683 | − | 27.4386i | 1.00871 | − | 1.26565i | ||||
\(471\) | −19.7688 | − | 34.2406i | −0.910900 | − | 1.57773i | ||||
\(472\) | 41.5486 | + | 23.9881i | 1.91243 | + | 1.10414i | ||||
\(473\) | − | 0.868356i | − | 0.0399271i | ||||||
\(474\) | 2.84570 | − | 4.92889i | 0.130707 | − | 0.226392i | ||||
\(475\) | 1.52255 | + | 6.65255i | 0.0698594 | + | 0.305240i | ||||
\(476\) | 16.1159 | 0.738670 | ||||||||
\(477\) | −0.909493 | − | 0.525096i | −0.0416428 | − | 0.0240425i | ||||
\(478\) | 8.81870 | − | 5.09148i | 0.403358 | − | 0.232879i | ||||
\(479\) | −9.73876 | − | 16.8680i | −0.444975 | − | 0.770720i | 0.553075 | − | 0.833131i | \(-0.313454\pi\) |
−0.998051 | + | 0.0624114i | \(0.980121\pi\) | |||||||
\(480\) | −9.65297 | − | 24.5739i | −0.440596 | − | 1.12164i | ||||
\(481\) | −3.86491 | + | 2.13011i | −0.176225 | + | 0.0971249i | ||||
\(482\) | − | 50.3346i | − | 2.29268i | ||||||
\(483\) | −11.7957 | + | 6.81023i | −0.536721 | + | 0.309876i | ||||
\(484\) | −23.7407 | − | 41.1201i | −1.07912 | − | 1.86909i | ||||
\(485\) | 4.91728 | − | 32.6898i | 0.223282 | − | 1.48437i | ||||
\(486\) | −39.1165 | −1.77436 | ||||||||
\(487\) | −27.9935 | − | 16.1620i | −1.26851 | − | 0.732372i | −0.293800 | − | 0.955867i | \(-0.594920\pi\) |
−0.974705 | + | 0.223495i | \(0.928253\pi\) | |||||||
\(488\) | 12.4163 | + | 7.16858i | 0.562062 | + | 0.324506i | ||||
\(489\) | −8.63509 | −0.390492 | ||||||||
\(490\) | −1.38451 | + | 9.20411i | −0.0625456 | + | 0.415799i | ||||
\(491\) | −14.3354 | − | 24.8297i | −0.646949 | − | 1.12055i | −0.983848 | − | 0.179007i | \(-0.942711\pi\) |
0.336899 | − | 0.941541i | \(-0.390622\pi\) | |||||||
\(492\) | 83.2227 | − | 48.0487i | 3.75197 | − | 2.16620i | ||||
\(493\) | 3.67187i | 0.165373i | ||||||||
\(494\) | 0.249036 | − | 12.5258i | 0.0112046 | − | 0.563561i | ||||
\(495\) | −0.848960 | − | 2.16123i | −0.0381579 | − | 0.0971401i | ||||
\(496\) | 31.8847 | + | 55.2260i | 1.43167 | + | 2.47972i | ||||
\(497\) | −6.70593 | + | 3.87167i | −0.300802 | + | 0.173668i | ||||
\(498\) | 56.2235 | + | 32.4606i | 2.51943 | + | 1.45460i | ||||
\(499\) | −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 | ||||
\(501\) | 3.16324 | − | 5.47890i | 0.141323 | − | 0.244779i | ||||
\(502\) | − | 9.35181i | − | 0.417392i | ||||||
\(503\) | 24.3433 | + | 14.0546i | 1.08542 | + | 0.626665i | 0.932352 | − | 0.361551i | \(-0.117753\pi\) |
0.153063 | + | 0.988216i | \(0.451086\pi\) | |||||||
\(504\) | 15.1722 | + | 26.2790i | 0.675823 | + | 1.17056i | ||||
\(505\) | −18.4404 | + | 23.1376i | −0.820587 | + | 1.02961i | ||||
\(506\) | 3.48079 | 0.154740 | ||||||||
\(507\) | 24.7754 | − | 13.0195i | 1.10032 | − | 0.578218i | ||||
\(508\) | 77.2116i | 3.42571i | ||||||||
\(509\) | 10.5563 | + | 18.2841i | 0.467900 | + | 0.810427i | 0.999327 | − | 0.0366773i | \(-0.0116774\pi\) |
−0.531427 | + | 0.847104i | \(0.678344\pi\) | |||||||
\(510\) | 11.7303 | + | 9.34893i | 0.519427 | + | 0.413978i | ||||
\(511\) | −15.1722 | + | 26.2790i | −0.671178 | + | 1.16251i | ||||
\(512\) | 50.8542i | 2.24746i | ||||||||
\(513\) | 3.47351 | + | 2.00543i | 0.153359 | + | 0.0885420i | ||||
\(514\) | 16.8844 | − | 29.2447i | 0.744740 | − | 1.28993i | ||||
\(515\) | −22.8284 | + | 8.96730i | −1.00594 | + | 0.395147i | ||||
\(516\) | −6.59503 | + | 11.4229i | −0.290330 | + | 0.502866i | ||||
\(517\) | 3.39010 | − | 1.95728i | 0.149097 | − | 0.0860809i | ||||
\(518\) | −7.92947 | + | 4.57808i | −0.348401 | + | 0.201149i | ||||
\(519\) | 2.94369 | 0.129214 | ||||||||
\(520\) | −47.7522 | + | 17.6703i | −2.09407 | + | 0.774893i | ||||
\(521\) | 0.673516 | 0.0295073 | 0.0147536 | − | 0.999891i | \(-0.495304\pi\) | ||||
0.0147536 | + | 0.999891i | \(0.495304\pi\) | |||||||
\(522\) | −10.8145 | + | 6.24376i | −0.473339 | + | 0.273282i | ||||
\(523\) | −25.8618 | + | 14.9313i | −1.13086 | + | 0.652900i | −0.944150 | − | 0.329516i | \(-0.893114\pi\) |
−0.186706 | + | 0.982416i | \(0.559781\pi\) | |||||||
\(524\) | 22.4039 | − | 38.8048i | 0.978720 | − | 1.69519i | ||||
\(525\) | −23.1754 | + | 21.5293i | −1.01146 | + | 0.939614i | ||||
\(526\) | −38.5304 | + | 66.7366i | −1.68000 | + | 2.90985i | ||||
\(527\) | −9.49907 | − | 5.48429i | −0.413786 | − | 0.238899i | ||||
\(528\) | − | 9.72953i | − | 0.423423i | ||||||
\(529\) | −9.18246 | + | 15.9045i | −0.399237 | + | 0.691499i | ||||
\(530\) | 2.27874 | − | 2.85918i | 0.0989820 | − | 0.124195i | ||||
\(531\) | −6.21061 | − | 10.7571i | −0.269517 | − | 0.466818i | ||||
\(532\) | − | 17.9718i | − | 0.779177i | ||||||
\(533\) | −17.3366 | − | 31.4558i | −0.750933 | − | 1.36250i | ||||
\(534\) | 68.8290 | 2.97852 | ||||||||
\(535\) | 18.6643 | + | 14.8752i | 0.806928 | + | 0.643112i | ||||
\(536\) | 25.3566 | + | 43.9189i | 1.09524 | + | 1.89701i | ||||
\(537\) | 14.5171 | + | 8.38148i | 0.626461 | + | 0.361687i | ||||
\(538\) | − | 56.6418i | − | 2.44200i | ||||||
\(539\) | −0.519213 | + | 0.899304i | −0.0223641 | + | 0.0387358i | ||||
\(540\) | 4.37953 | − | 29.1148i | 0.188465 | − | 1.25290i | ||||
\(541\) | 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 | ||||
\(543\) | −7.20968 | + | 4.16251i | −0.309397 | + | 0.178630i | ||||
\(544\) | 3.35627 | + | 5.81323i | 0.143899 | + | 0.249240i | ||||
\(545\) | −2.67352 | − | 6.80607i | −0.114521 | − | 0.291540i | ||||
\(546\) | 50.8569 | − | 28.0294i | 2.17647 | − | 1.19955i | ||||
\(547\) | 3.03789i | 0.129891i | 0.997889 | + | 0.0649454i | \(0.0206873\pi\) | ||||
−0.997889 | + | 0.0649454i | \(0.979313\pi\) | |||||||
\(548\) | 33.6527 | − | 19.4294i | 1.43757 | − | 0.829983i | ||||
\(549\) | −1.85597 | − | 3.21464i | −0.0792109 | − | 0.137197i | ||||
\(550\) | 7.88011 | − | 1.80350i | 0.336009 | − | 0.0769015i | ||||
\(551\) | 4.09473 | 0.174442 | ||||||||
\(552\) | −25.3508 | − | 14.6363i | −1.07900 | − | 0.622962i | ||||
\(553\) | −2.64265 | − | 1.52574i | −0.112377 | − | 0.0648809i | ||||
\(554\) | −42.7304 | −1.81544 | ||||||||
\(555\) | −5.82669 | − | 0.876465i | −0.247329 | − | 0.0372039i | ||||
\(556\) | −32.0970 | − | 55.5936i | −1.36121 | − | 2.35769i | ||||
\(557\) | −17.9264 | + | 10.3498i | −0.759566 | + | 0.438536i | −0.829140 | − | 0.559041i | \(-0.811169\pi\) |
0.0695738 | + | 0.997577i | \(0.477836\pi\) | |||||||
\(558\) | − | 37.3026i | − | 1.57915i | ||||||
\(559\) | 4.21955 | + | 2.54931i | 0.178468 | + | 0.107824i | ||||
\(560\) | −43.5198 | + | 17.0952i | −1.83905 | + | 0.722402i | ||||
\(561\) | 0.836758 | + | 1.44931i | 0.0353279 | + | 0.0611898i | ||||
\(562\) | 23.3622 | − | 13.4882i | 0.985475 | − | 0.568964i | ||||
\(563\) | −9.49188 | − | 5.48014i | −0.400035 | − | 0.230960i | 0.286464 | − | 0.958091i | \(-0.407520\pi\) |
−0.686499 | + | 0.727131i | \(0.740853\pi\) | |||||||
\(564\) | −59.4608 | −2.50375 | ||||||||
\(565\) | −1.83929 | + | 12.2275i | −0.0773794 | + | 0.514413i | ||||
\(566\) | 11.2212 | − | 19.4357i | 0.471661 | − | 0.816941i | ||||
\(567\) | 33.0051i | 1.38608i | ||||||||
\(568\) | −14.4122 | − | 8.32087i | −0.604721 | − | 0.349136i | ||||
\(569\) | 21.3566 | + | 36.9907i | 0.895314 | + | 1.55073i | 0.833416 | + | 0.552647i | \(0.186382\pi\) |
0.0618981 | + | 0.998082i | \(0.480285\pi\) | |||||||
\(570\) | 10.4256 | − | 13.0812i | 0.436679 | − | 0.547912i | ||||
\(571\) | −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 | ||||
\(573\) | 10.6434i | 0.444635i | ||||||||
\(574\) | −37.2602 | − | 64.5366i | −1.55521 | − | 2.69370i | ||||
\(575\) | 3.16683 | − | 10.2883i | 0.132066 | − | 0.429050i | ||||
\(576\) | 0.220882 | − | 0.382579i | 0.00920343 | − | 0.0159408i | ||||
\(577\) | 18.3646i | 0.764530i | 0.924053 | + | 0.382265i | \(0.124856\pi\) | ||||
−0.924053 | + | 0.382265i | \(0.875144\pi\) | |||||||
\(578\) | 34.1767 | + | 19.7319i | 1.42156 | + | 0.820740i | ||||
\(579\) | −5.33542 | + | 9.24123i | −0.221733 | + | 0.384052i | ||||
\(580\) | −10.9897 | − | 27.9770i | −0.456324 | − | 1.16168i | ||||
\(581\) | 17.4039 | − | 30.1445i | 0.722037 | − | 1.25060i | ||||
\(582\) | −70.1713 | + | 40.5134i | −2.90869 | + | 1.67934i | ||||
\(583\) | 0.353259 | − | 0.203954i | 0.0146305 | − | 0.00844691i | ||||
\(584\) | −65.2151 | −2.69862 | ||||||||
\(585\) | 12.9943 | + | 2.21962i | 0.537248 | + | 0.0917702i | ||||
\(586\) | −71.9237 | −2.97114 | ||||||||
\(587\) | 0.608726 | − | 0.351448i | 0.0251248 | − | 0.0145058i | −0.487385 | − | 0.873187i | \(-0.662049\pi\) |
0.512510 | + | 0.858681i | \(0.328716\pi\) | |||||||
\(588\) | 13.6601 | − | 7.88669i | 0.563335 | − | 0.325242i | ||||
\(589\) | −6.11588 | + | 10.5930i | −0.252000 | + | 0.436477i | ||||
\(590\) | 40.2496 | − | 15.8106i | 1.65705 | − | 0.650912i | ||||
\(591\) | 7.26124 | − | 12.5768i | 0.298687 | − | 0.517342i | ||||
\(592\) | −7.54267 | − | 4.35476i | −0.310002 | − | 0.178980i | ||||
\(593\) | − | 37.1593i | − | 1.52595i | −0.646428 | − | 0.762975i | \(-0.723738\pi\) | ||
0.646428 | − | 0.762975i | \(-0.276262\pi\) | |||||||
\(594\) | 2.37548 | − | 4.11446i | 0.0974672 | − | 0.168818i | ||||
\(595\) | 5.01248 | − | 6.28927i | 0.205492 | − | 0.257835i | ||||
\(596\) | 38.4337 | + | 66.5692i | 1.57431 | + | 2.72678i | ||||
\(597\) | − | 11.1423i | − | 0.456026i | ||||||
\(598\) | −10.2189 | + | 16.9140i | −0.417880 | + | 0.691663i | ||||
\(599\) | 15.6914 | 0.641133 | 0.320567 | − | 0.947226i | \(-0.396127\pi\) | ||||
0.320567 | + | 0.947226i | \(0.396127\pi\) | |||||||
\(600\) | −64.9749 | − | 19.9999i | −2.65259 | − | 0.816493i | ||||
\(601\) | −6.00193 | − | 10.3956i | −0.244824 | − | 0.424047i | 0.717258 | − | 0.696807i | \(-0.245397\pi\) |
−0.962082 | + | 0.272760i | \(0.912063\pi\) | |||||||
\(602\) | 8.85812 | + | 5.11424i | 0.361030 | + | 0.208441i | ||||
\(603\) | − | 13.1298i | − | 0.534687i | ||||||
\(604\) | −47.9059 | + | 82.9754i | −1.94926 | + | 3.37622i | ||||
\(605\) | −23.4313 | − | 3.52459i | −0.952616 | − | 0.143295i | ||||
\(606\) | 72.5204 | 2.94594 | ||||||||
\(607\) | 33.5035 | + | 19.3433i | 1.35987 | + | 0.785119i | 0.989606 | − | 0.143809i | \(-0.0459350\pi\) |
0.370261 | + | 0.928928i | \(0.379268\pi\) | |||||||
\(608\) | 6.48269 | − | 3.74278i | 0.262908 | − | 0.151790i | ||||
\(609\) | 9.48973 | + | 16.4367i | 0.384543 | + | 0.666048i | ||||
\(610\) | 12.0282 | − | 4.72482i | 0.487006 | − | 0.191302i | ||||
\(611\) | −0.441765 | + | 22.2195i | −0.0178719 | + | 0.898903i | ||||
\(612\) | − | 8.96730i | − | 0.362482i | ||||||
\(613\) | −14.9684 | + | 8.64201i | −0.604568 | + | 0.349047i | −0.770836 | − | 0.637033i | \(-0.780161\pi\) |
0.166269 | + | 0.986081i | \(0.446828\pi\) | |||||||
\(614\) | 16.1933 | + | 28.0477i | 0.653509 | + | 1.13191i | ||||
\(615\) | 7.13340 | − | 47.4224i | 0.287646 | − | 1.91225i | ||||
\(616\) | −11.7861 | −0.474877 | ||||||||
\(617\) | 22.9229 | + | 13.2345i | 0.922841 | + | 0.532803i | 0.884540 | − | 0.466464i | \(-0.154472\pi\) |
0.0383009 | + | 0.999266i | \(0.487805\pi\) | |||||||
\(618\) | 52.0624 | + | 30.0582i | 2.09426 | + | 1.20912i | ||||
\(619\) | 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 | ||||
\(621\) | −3.16324 | − | 5.47890i | −0.126937 | − | 0.219861i | ||||
\(622\) | −61.5615 | + | 35.5425i | −2.46839 | + | 1.42513i | ||||
\(623\) | − | 36.9030i | − | 1.47849i | ||||||
\(624\) | 47.2781 | + | 28.5639i | 1.89264 | + | 1.14347i | ||||
\(625\) | 1.83869 | − | 24.9323i | 0.0735475 | − | 0.997292i | ||||
\(626\) | −31.2881 | − | 54.1925i | −1.25052 | − | 2.16597i | ||||
\(627\) | 1.61621 | − | 0.933121i | 0.0645453 | − | 0.0372653i | ||||
\(628\) | −71.2635 | − | 41.1440i | −2.84372 | − | 1.64182i | ||||
\(629\) | 1.49807 | 0.0597320 | ||||||||
\(630\) | 27.0467 | + | 4.06844i | 1.07757 | + | 0.162091i | ||||
\(631\) | 10.3566 | − | 17.9381i | 0.412288 | − | 0.714104i | −0.582851 | − | 0.812579i | \(-0.698063\pi\) |
0.995140 | + | 0.0984745i | \(0.0313963\pi\) | |||||||
\(632\) | − | 6.55812i | − | 0.260868i | ||||||
\(633\) | 26.1362 | + | 15.0897i | 1.03882 | + | 0.599763i | ||||
\(634\) | −0.298331 | − | 0.516725i | −0.0118482 | − | 0.0205218i | ||||
\(635\) | 30.1321 | + | 24.0149i | 1.19576 | + | 0.953003i | ||||
\(636\) | −6.19599 | −0.245687 | ||||||||
\(637\) | −2.84563 | − | 5.16315i | −0.112748 | − | 0.204571i | ||||
\(638\) | − | 4.85031i | − | 0.192026i | ||||||
\(639\) | 2.15430 | + | 3.73136i | 0.0852229 | + | 0.147610i | ||||
\(640\) | 20.3828 | + | 16.2449i | 0.805702 | + | 0.642136i | ||||
\(641\) | −10.5947 | + | 18.3506i | −0.418467 | + | 0.724806i | −0.995785 | − | 0.0917132i | \(-0.970766\pi\) |
0.577319 | + | 0.816519i | \(0.304099\pi\) | |||||||
\(642\) | − | 58.4997i | − | 2.30880i | ||||||
\(643\) | 9.98843 | + | 5.76682i | 0.393905 | + | 0.227421i | 0.683851 | − | 0.729622i | \(-0.260304\pi\) |
−0.289946 | + | 0.957043i | \(0.593637\pi\) | |||||||
\(644\) | −14.1738 | + | 24.5498i | −0.558526 | + | 0.967396i | ||||
\(645\) | 2.40660 | + | 6.12658i | 0.0947598 | + | 0.241234i | ||||
\(646\) | −2.12645 | + | 3.68311i | −0.0836639 | + | 0.144910i | ||||
\(647\) | 30.1779 | − | 17.4232i | 1.18641 | − | 0.684977i | 0.228925 | − | 0.973444i | \(-0.426479\pi\) |
0.957490 | + | 0.288467i | \(0.0931456\pi\) | |||||||
\(648\) | −61.4301 | + | 35.4667i | −2.41320 | + | 1.39326i | ||||
\(649\) | 4.82456 | 0.189380 | ||||||||
\(650\) | −14.3707 | + | 43.5860i | −0.563666 | + | 1.70958i | ||||
\(651\) | −56.6953 | −2.22206 | ||||||||
\(652\) | −15.5641 | + | 8.98591i | −0.609535 | + | 0.351915i | ||||
\(653\) | 19.3324 | − | 11.1616i | 0.756537 | − | 0.436787i | −0.0715139 | − | 0.997440i | \(-0.522783\pi\) |
0.828051 | + | 0.560653i | \(0.189450\pi\) | |||||||
\(654\) | −8.96157 | + | 15.5219i | −0.350425 | + | 0.606954i | ||||
\(655\) | −8.17544 | − | 20.8125i | −0.319441 | − | 0.813214i | ||||
\(656\) | 35.4427 | − | 61.3885i | 1.38380 | − | 2.39682i | ||||
\(657\) | 14.6223 | + | 8.44221i | 0.570471 | + | 0.329362i | ||||
\(658\) | 46.1100i | 1.79755i | ||||||||
\(659\) | −0.433420 | + | 0.750705i | −0.0168836 | + | 0.0292433i | −0.874344 | − | 0.485307i | \(-0.838708\pi\) |
0.857460 | + | 0.514550i | \(0.172041\pi\) | |||||||
\(660\) | −10.7132 | − | 8.53829i | −0.417010 | − | 0.332352i | ||||
\(661\) | −6.65430 | − | 11.5256i | −0.258822 | − | 0.448293i | 0.707104 | − | 0.707109i | \(-0.250001\pi\) |
−0.965927 | + | 0.258816i | \(0.916668\pi\) | |||||||
\(662\) | 46.6544i | 1.81328i | ||||||||
\(663\) | −9.49907 | − | 0.188859i | −0.368913 | − | 0.00733469i | ||||
\(664\) | 74.8079 | 2.90311 | ||||||||
\(665\) | −7.01356 | − | 5.58973i | −0.271974 | − | 0.216760i | ||||
\(666\) | 2.54737 | + | 4.41217i | 0.0987085 | + | 0.170968i | ||||
\(667\) | −5.59346 | − | 3.22939i | −0.216580 | − | 0.125042i | ||||
\(668\) | − | 13.1670i | − | 0.509448i | ||||||
\(669\) | 0.00893993 | − | 0.0154844i | 0.000345637 | − | 0.000598662i | ||||
\(670\) | 45.2020 | + | 6.79940i | 1.74630 | + | 0.262684i | ||||
\(671\) | 1.44176 | 0.0556587 | ||||||||
\(672\) | 30.0479 | + | 17.3481i | 1.15912 | + | 0.669219i | ||||
\(673\) | −4.77457 | + | 2.75660i | −0.184046 | + | 0.106259i | −0.589192 | − | 0.807993i | \(-0.700554\pi\) |
0.405146 | + | 0.914252i | \(0.367221\pi\) | |||||||
\(674\) | −27.1056 | − | 46.9483i | −1.04407 | − | 1.80838i | ||||
\(675\) | −10.0000 | − | 10.7646i | −0.384900 | − | 0.414331i | ||||
\(676\) | 31.1072 | − | 49.2486i | 1.19643 | − | 1.89418i | ||||
\(677\) | 4.80479i | 0.184663i | 0.995728 | + | 0.0923316i | \(0.0294320\pi\) | ||||
−0.995728 | + | 0.0923316i | \(0.970568\pi\) | |||||||
\(678\) | 26.2472 | − | 15.1539i | 1.00802 | − | 0.581980i | ||||
\(679\) | 21.7215 | + | 37.6227i | 0.833594 | + | 1.44383i | ||||
\(680\) | 17.0921 | + | 2.57104i | 0.655453 | + | 0.0985949i | ||||
\(681\) | −24.2496 | −0.929248 | ||||||||
\(682\) | 12.5477 | + | 7.24440i | 0.480475 | + | 0.277403i | ||||
\(683\) | −10.1866 | − | 5.88126i | −0.389781 | − | 0.225040i | 0.292284 | − | 0.956331i | \(-0.405585\pi\) |
−0.682065 | + | 0.731291i | \(0.738918\pi\) | |||||||
\(684\) | −10.0000 | −0.382360 | ||||||||
\(685\) | 2.88453 | − | 19.1761i | 0.110212 | − | 0.732683i | ||||
\(686\) | 20.0669 | + | 34.7569i | 0.766157 | + | 1.32702i | ||||
\(687\) | 30.8393 | − | 17.8051i | 1.17659 | − | 0.679306i | ||||
\(688\) | 9.72953i | 0.370935i | ||||||||
\(689\) | −0.0460332 | + | 2.31533i | −0.00175372 | + | 0.0882071i | ||||
\(690\) | −24.5582 | + | 9.64680i | −0.934916 | + | 0.367247i | ||||
\(691\) | −2.43342 | − | 4.21481i | −0.0925717 | − | 0.160339i | 0.816021 | − | 0.578022i | \(-0.196175\pi\) |
−0.908593 | + | 0.417684i | \(0.862842\pi\) | |||||||
\(692\) | 5.30577 | − | 3.06329i | 0.201695 | − | 0.116449i | ||||
\(693\) | 2.64265 | + | 1.52574i | 0.100386 | + | 0.0579579i | ||||
\(694\) | 9.71254 | 0.368683 | ||||||||
\(695\) | −31.6786 | − | 4.76518i | −1.20164 | − | 0.180753i | ||||
\(696\) | −20.3950 | + | 35.3252i | −0.773070 | + | 1.33900i | ||||
\(697\) | 12.1925i | 0.461825i | ||||||||
\(698\) | −53.6320 | − | 30.9644i | −2.03000 | − | 1.17202i | ||||
\(699\) | −7.48079 | − | 12.9571i | −0.282949 | − | 0.490083i | ||||
\(700\) | −19.3679 | + | 62.9218i | −0.732039 | + | 2.37822i | ||||
\(701\) | 21.3828 | 0.807617 | 0.403808 | − | 0.914844i | \(-0.367686\pi\) | ||||
0.403808 | + | 0.914844i | \(0.367686\pi\) | |||||||
\(702\) | 13.0192 | + | 23.6222i | 0.491378 | + | 0.891563i | ||||
\(703\) | − | 1.67059i | − | 0.0630076i | ||||||
\(704\) | 0.0857934 | + | 0.148599i | 0.00323346 | + | 0.00560052i | ||||
\(705\) | −18.4939 | + | 23.2048i | −0.696522 | + | 0.873943i | ||||
\(706\) | 34.4427 | − | 59.6564i | 1.29627 | − | 2.24520i | ||||
\(707\) | − | 38.8822i | − | 1.46232i | ||||||
\(708\) | −63.4654 | − | 36.6417i | −2.38517 | − | 1.37708i | ||||
\(709\) | −13.0582 | + | 22.6175i | −0.490412 | + | 0.849419i | −0.999939 | − | 0.0110357i | \(-0.996487\pi\) |
0.509527 | + | 0.860455i | \(0.329820\pi\) | |||||||
\(710\) | −13.9616 | + | 5.48429i | −0.523969 | + | 0.205822i | ||||
\(711\) | −0.848960 | + | 1.47044i | −0.0318385 | + | 0.0551459i | ||||
\(712\) | 68.6851 | − | 39.6554i | 2.57408 | − | 1.48615i | ||||
\(713\) | 16.7087 | − | 9.64680i | 0.625748 | − | 0.361276i | ||||
\(714\) | −19.7125 | −0.737723 | ||||||||
\(715\) | −3.27020 | + | 3.93989i | −0.122299 | + | 0.147344i | ||||
\(716\) | 34.8880 | 1.30383 | ||||||||
\(717\) | −7.45795 | + | 4.30585i | −0.278522 | + | 0.160805i | ||||
\(718\) | 59.5347 | − | 34.3724i | 2.22182 | − | 1.28277i | ||||
\(719\) | 18.3387 | − | 31.7635i | 0.683918 | − | 1.18458i | −0.289858 | − | 0.957070i | \(-0.593608\pi\) |
0.973776 | − | 0.227510i | \(-0.0730586\pi\) | |||||||
\(720\) | 9.51220 | + | 24.2156i | 0.354499 | + | 0.902462i | ||||
\(721\) | 16.1159 | − | 27.9135i | 0.600187 | − | 1.03955i | ||||
\(722\) | −37.7815 | − | 21.8132i | −1.40608 | − | 0.811803i | ||||
\(723\) | 42.5679i | 1.58312i | ||||||||
\(724\) | −8.66324 | + | 15.0052i | −0.321967 | + | 0.557663i | ||||
\(725\) | −14.3362 | − | 4.41283i | −0.532434 | − | 0.163888i | ||||
\(726\) | 29.0390 | + | 50.2971i | 1.07774 | + | 1.86670i | ||||
\(727\) | 26.2596i | 0.973916i | 0.873425 | + | 0.486958i | \(0.161893\pi\) | ||||
−0.873425 | + | 0.486958i | \(0.838107\pi\) | |||||||
\(728\) | 34.6016 | − | 57.2716i | 1.28242 | − | 2.12263i | ||||
\(729\) | −0.614542 | −0.0227608 | ||||||||
\(730\) | −36.6363 | + | 45.9684i | −1.35597 | + | 1.70137i | ||||
\(731\) | −0.836758 | − | 1.44931i | −0.0309486 | − | 0.0536046i | ||||
\(732\) | −18.9659 | − | 10.9500i | −0.701000 | − | 0.404723i | ||||
\(733\) | 31.7811i | 1.17386i | 0.809637 | + | 0.586931i | \(0.199664\pi\) | ||||
−0.809637 | + | 0.586931i | \(0.800336\pi\) | |||||||
\(734\) | −8.83513 | + | 15.3029i | −0.326110 | + | 0.564840i | ||||
\(735\) | 1.17087 | − | 7.78389i | 0.0431883 | − | 0.287113i | ||||
\(736\) | −11.8073 | −0.435222 | ||||||||
\(737\) | 4.41654 | + | 2.54989i | 0.162685 | + | 0.0939265i | ||||
\(738\) | −35.9099 | + | 20.7326i | −1.32186 | + | 0.763176i | ||||
\(739\) | −17.0685 | − | 29.5635i | −0.627875 | − | 1.08751i | −0.987977 | − | 0.154599i | \(-0.950591\pi\) |
0.360102 | − | 0.932913i | \(-0.382742\pi\) | |||||||
\(740\) | −11.4142 | + | 4.48365i | −0.419595 | + | 0.164822i | ||||
\(741\) | −0.210609 | + | 10.5930i | −0.00773691 | + | 0.389144i | ||||
\(742\) | 4.80479i | 0.176390i | ||||||||
\(743\) | 2.70254 | − | 1.56031i | 0.0991465 | − | 0.0572423i | −0.449607 | − | 0.893227i | \(-0.648436\pi\) |
0.548753 | + | 0.835984i | \(0.315103\pi\) | |||||||
\(744\) | −60.9237 | − | 105.523i | −2.23357 | − | 3.86866i | ||||
\(745\) | 37.9328 | + | 5.70594i | 1.38975 | + | 0.209050i | ||||
\(746\) | 5.88798 | 0.215574 | ||||||||
\(747\) | −16.7732 | − | 9.68401i | −0.613699 | − | 0.354320i | ||||
\(748\) | 3.01638 | + | 1.74151i | 0.110290 | + | 0.0636758i | ||||
\(749\) | −31.3649 | −1.14605 | ||||||||
\(750\) | −50.5988 | + | 34.5636i | −1.84761 | + | 1.26208i | ||||
\(751\) | −0.742024 | − | 1.28522i | −0.0270769 | − | 0.0468985i | 0.852169 | − | 0.523266i | \(-0.175287\pi\) |
−0.879246 | + | 0.476367i | \(0.841953\pi\) | |||||||
\(752\) | −37.9845 | + | 21.9304i | −1.38515 | + | 0.799718i | ||||
\(753\) | 7.90881i | 0.288213i | ||||||||
\(754\) | 23.5688 | + | 14.2395i | 0.858325 | + | 0.518572i | ||||
\(755\) | 17.4814 | + | 44.5030i | 0.636213 | + | 1.61963i | ||||
\(756\) | 19.3460 | + | 33.5082i | 0.703607 | + | 1.21868i | ||||
\(757\) | −4.41654 | + | 2.54989i | −0.160522 | + | 0.0926774i | −0.578109 | − | 0.815960i | \(-0.696209\pi\) |
0.417587 | + | 0.908637i | \(0.362876\pi\) | |||||||
\(758\) | −11.4102 | − | 6.58767i | −0.414436 | − | 0.239275i | ||||
\(759\) | −2.94369 | −0.106849 | ||||||||
\(760\) | 2.86713 | − | 19.0605i | 0.104002 | − | 0.691397i | ||||
\(761\) | 14.8931 | − | 25.7955i | 0.539873 | − | 0.935088i | −0.459037 | − | 0.888417i | \(-0.651806\pi\) |
0.998910 | − | 0.0466707i | \(-0.0148611\pi\) | |||||||
\(762\) | − | 94.4433i | − | 3.42132i | ||||||
\(763\) | 8.32215 | + | 4.80479i | 0.301282 | + | 0.173945i | ||||
\(764\) | 11.0758 | + | 19.1839i | 0.400709 | + | 0.694048i | ||||
\(765\) | −3.49952 | − | 2.78908i | −0.126525 | − | 0.100839i | ||||
\(766\) | −52.5973 | −1.90042 | ||||||||
\(767\) | −14.1639 | + | 23.4437i | −0.511428 | + | 0.846501i | ||||
\(768\) | − | 62.7228i | − | 2.26331i | ||||||
\(769\) | 9.54930 | + | 16.5399i | 0.344356 | + | 0.596443i | 0.985237 | − | 0.171198i | \(-0.0547638\pi\) |
−0.640880 | + | 0.767641i | \(0.721430\pi\) | |||||||
\(770\) | −6.62117 | + | 8.30773i | −0.238610 | + | 0.299390i | ||||
\(771\) | −14.2791 | + | 24.7322i | −0.514250 | + | 0.890707i | ||||
\(772\) | 22.2088i | 0.799311i | ||||||||
\(773\) | −42.6350 | − | 24.6153i | −1.53347 | − | 0.885351i | −0.999198 | − | 0.0400400i | \(-0.987251\pi\) |
−0.534275 | − | 0.845311i | \(-0.679415\pi\) | |||||||
\(774\) | 2.84570 | − | 4.92889i | 0.102286 | − | 0.177165i | ||||
\(775\) | 32.8284 | − | 30.4966i | 1.17923 | − | 1.09547i | ||||
\(776\) | −46.6831 | + | 80.8574i | −1.67582 | + | 2.90261i | ||||
\(777\) | 6.70593 | − | 3.87167i | 0.240574 | − | 0.138895i | ||||
\(778\) | 43.5373 | − | 25.1362i | 1.56089 | − | 0.901178i | ||||
\(779\) | 13.5967 | 0.487151 | ||||||||
\(780\) | 72.9412 | − | 26.9913i | 2.61171 | − | 0.966442i | ||||
\(781\) | −1.67352 | −0.0598831 | ||||||||
\(782\) | 5.80951 | − | 3.35412i | 0.207748 | − | 0.119943i | ||||
\(783\) | −7.63458 | + | 4.40783i | −0.272838 | + | 0.157523i | ||||
\(784\) | 5.81754 | − | 10.0763i | 0.207769 | − | 0.359867i | ||||
\(785\) | −38.2215 | + | 15.0139i | −1.36418 | + | 0.535869i | ||||
\(786\) | −27.4039 | + | 47.4650i | −0.977466 | + | 1.69302i | ||||
\(787\) | −8.47263 | − | 4.89168i | −0.302017 | − | 0.174369i | 0.341332 | − | 0.939943i | \(-0.389122\pi\) |
−0.643349 | + | 0.765573i | \(0.722455\pi\) | |||||||
\(788\) | − | 30.2250i | − | 1.07672i | ||||||
\(789\) | 32.5851 | − | 56.4390i | 1.16006 | − | 2.00928i | ||||
\(790\) | −4.62264 | − | 3.68419i | −0.164466 | − | 0.131078i | ||||
\(791\) | −8.12482 | − | 14.0726i | −0.288885 | − | 0.500364i | ||||
\(792\) | 6.55812i | 0.233033i | ||||||||
\(793\) | −4.23272 | + | 7.00587i | −0.150308 | + | 0.248786i | ||||
\(794\) | 23.9020 | 0.848250 | ||||||||
\(795\) | −1.92712 | + | 2.41801i | −0.0683480 | + | 0.0857578i | ||||
\(796\) | −11.5950 | − | 20.0832i | −0.410975 | − | 0.711830i | ||||
\(797\) | 14.3216 | + | 8.26856i | 0.507296 | + | 0.292887i | 0.731721 | − | 0.681604i | \(-0.238717\pi\) |
−0.224426 | + | 0.974491i | \(0.572051\pi\) | |||||||
\(798\) | 21.9827i | 0.778178i | ||||||||
\(799\) | 3.77211 | − | 6.53348i | 0.133448 | − | 0.231138i | ||||
\(800\) | −26.7303 | + | 6.11770i | −0.945060 | + | 0.216293i | ||||
\(801\) | −20.5338 | −0.725527 | ||||||||
\(802\) | 54.0188 | + | 31.1878i | 1.90747 | + | 1.10128i | ||||
\(803\) | −5.67950 | + | 3.27906i | −0.200425 | + | 0.115715i | ||||
\(804\) | −38.7320 | − | 67.0859i | −1.36597 | − | 2.36594i | ||||
\(805\) | 5.17218 | + | 13.1670i | 0.182295 | + | 0.464077i | ||||
\(806\) | −72.0396 | + | 39.7041i | −2.53749 | + | 1.39852i | ||||
\(807\) | 47.9018i | 1.68622i | ||||||||
\(808\) | 72.3688 | − | 41.7821i | 2.54592 | − | 1.46989i | ||||
\(809\) | −15.9212 | − | 27.5764i | −0.559760 | − | 0.969533i | −0.997516 | − | 0.0704392i | \(-0.977560\pi\) |
0.437756 | − | 0.899094i | \(-0.355773\pi\) | |||||||
\(810\) | −9.51044 | + | 63.2248i | −0.334163 | + | 2.22149i | ||||
\(811\) | 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 | ||||
\(813\) | 22.0539 | + | 12.7328i | 0.773465 | + | 0.446560i | ||||
\(814\) | −1.97886 | −0.0693589 | ||||||||
\(815\) | −1.33407 | + | 8.86879i | −0.0467303 | + | 0.310660i | ||||
\(816\) | −9.37548 | − | 16.2388i | −0.328208 | − | 0.568472i | ||||
\(817\) | −1.61621 | + | 0.933121i | −0.0565441 | + | 0.0326458i | ||||
\(818\) | 91.9431i | 3.21472i | ||||||||
\(819\) | −15.1722 | + | 8.36203i | −0.530159 | + | 0.292193i | ||||
\(820\) | −36.4917 | − | 92.8982i | −1.27434 | − | 3.24415i | ||||
\(821\) | −5.83676 | − | 10.1096i | −0.203704 | − | 0.352826i | 0.746015 | − | 0.665929i | \(-0.231965\pi\) |
−0.949719 | + | 0.313103i | \(0.898631\pi\) | |||||||
\(822\) | −41.1631 | + | 23.7656i | −1.43573 | + | 0.828919i | ||||
\(823\) | −28.0867 | − | 16.2159i | −0.979041 | − | 0.565249i | −0.0770602 | − | 0.997026i | \(-0.524553\pi\) |
−0.901980 | + | 0.431777i | \(0.857887\pi\) | |||||||
\(824\) | 69.2714 | 2.41318 | ||||||||
\(825\) | −6.66419 | + | 1.52522i | −0.232017 | + | 0.0531012i | ||||
\(826\) | −28.4145 | + | 49.2154i | −0.988667 | + | 1.71242i | ||||
\(827\) | − | 27.3319i | − | 0.950425i | −0.879871 | − | 0.475212i | \(-0.842371\pi\) | ||
0.879871 | − | 0.475212i | \(-0.157629\pi\) | |||||||
\(828\) | 13.6601 | + | 7.88669i | 0.474723 | + | 0.274081i | ||||
\(829\) | 1.77018 | + | 3.06604i | 0.0614808 | + | 0.106488i | 0.895128 | − | 0.445810i | \(-0.147084\pi\) |
−0.833647 | + | 0.552298i | \(0.813751\pi\) | |||||||
\(830\) | 42.0253 | − | 52.7301i | 1.45872 | − | 1.83029i | ||||
\(831\) | 36.1370 | 1.25358 | ||||||||
\(832\) | −0.973947 | − | 0.0193639i | −0.0337655 | − | 0.000671322i | ||||
\(833\) | 2.00128i | 0.0693402i | ||||||||
\(834\) | 39.2602 | + | 68.0007i | 1.35947 | + | 2.35467i | ||||
\(835\) | −5.13847 | − | 4.09531i | −0.177824 | − | 0.141724i | ||||
\(836\) | 1.94206 | − | 3.36375i | 0.0671676 | − | 0.116338i | ||||
\(837\) | − | 26.3341i | − | 0.910238i | ||||||
\(838\) | 15.1391 | + | 8.74059i | 0.522973 | + | 0.301939i | ||||
\(839\) | 22.3950 | − | 38.7893i | 0.773161 | − | 1.33915i | −0.162661 | − | 0.986682i | \(-0.552008\pi\) |
0.935822 | − | 0.352472i | \(-0.114659\pi\) | |||||||
\(840\) | 83.1555 | − | 32.6646i | 2.86914 | − | 1.12704i | ||||
\(841\) | 10.0000 | − | 17.3205i | 0.344828 | − | 0.597259i | ||||
\(842\) | −74.9136 | + | 43.2514i | −2.58169 | + | 1.49054i | ||||
\(843\) | −19.7574 | + | 11.4069i | −0.680479 | + | 0.392875i | ||||
\(844\) | 62.8111 | 2.16205 | ||||||||
\(845\) | −9.54424 | − | 27.4574i | −0.328332 | − | 0.944562i | ||||
\(846\) | 25.6568 | 0.882100 | ||||||||
\(847\) | 26.9670 | − | 15.5694i | 0.926598 | − | 0.534972i | ||||
\(848\) | −3.95810 | + | 2.28521i | −0.135922 | + | 0.0784744i | ||||
\(849\) | −9.48973 | + | 16.4367i | −0.325687 | + | 0.564106i | ||||
\(850\) | 11.4142 | − | 10.6034i | 0.391504 | − | 0.363695i | ||||
\(851\) | −1.31754 | + | 2.28205i | −0.0451648 | + | 0.0782278i | ||||
\(852\) | 22.0145 | + | 12.7101i | 0.754205 | + | 0.435440i | ||||
\(853\) | − | 31.3732i | − | 1.07420i | −0.843519 | − | 0.537099i | \(-0.819520\pi\) | ||
0.843519 | − | 0.537099i | \(-0.180480\pi\) | |||||||
\(854\) | −8.49136 | + | 14.7075i | −0.290568 | + | 0.503279i | ||||
\(855\) | −3.11027 | + | 3.90253i | −0.106369 | + | 0.133464i | ||||
\(856\) | −33.7042 | − | 58.3774i | −1.15199 | − | 1.99530i | ||||
\(857\) | 21.2813i | 0.726955i | 0.931603 | + | 0.363478i | \(0.118411\pi\) | ||||
−0.931603 | + | 0.363478i | \(0.881589\pi\) | |||||||
\(858\) | 12.5477 | + | 0.249471i | 0.428371 | + | 0.00851681i | ||||
\(859\) | −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 | ||||
\(861\) | 31.5109 | + | 54.5784i | 1.07389 | + | 1.86003i | ||||
\(862\) | −35.8251 | − | 20.6837i | −1.22021 | − | 0.704488i | ||||
\(863\) | 32.8011i | 1.11656i | 0.829651 | + | 0.558282i | \(0.188539\pi\) | ||||
−0.829651 | + | 0.558282i | \(0.811461\pi\) | |||||||
\(864\) | −8.05794 | + | 13.9568i | −0.274137 | + | 0.474819i | ||||
\(865\) | 0.454782 | − | 3.02336i | 0.0154630 | − | 0.102797i | ||||
\(866\) | 0.652374 | 0.0221686 | ||||||||
\(867\) | −28.9032 | − | 16.6873i | −0.981603 | − | 0.566729i | ||||
\(868\) | −102.189 | + | 58.9986i | −3.46851 | + | 2.00254i | ||||
\(869\) | −0.329747 | − | 0.571138i | −0.0111859 | − | 0.0193745i | ||||
\(870\) | 13.4424 | + | 34.2207i | 0.455739 | + | 1.16019i | ||||
\(871\) | −25.3566 | + | 13.9751i | −0.859174 | + | 0.473527i | ||||
\(872\) | 20.6526i | 0.699385i | ||||||||
\(873\) | 20.9343 | − | 12.0864i | 0.708518 | − | 0.409063i | ||||
\(874\) | −3.74039 | − | 6.47855i | −0.126521 | − | 0.219140i | ||||
\(875\) | 18.5315 | + | 27.1288i | 0.626478 | + | 0.917120i | ||||
\(876\) | 99.6157 | 3.36570 | ||||||||
\(877\) | −31.2333 | − | 18.0325i | −1.05467 | − | 0.608916i | −0.130719 | − | 0.991419i | \(-0.541729\pi\) |
−0.923954 | + | 0.382504i | \(0.875062\pi\) | |||||||
\(878\) | 16.7482 | + | 9.66956i | 0.565223 | + | 0.326332i | ||||
\(879\) | 60.8257 | 2.05160 | ||||||||
\(880\) | −9.99285 | − | 1.50315i | −0.336859 | − | 0.0506712i | ||||
\(881\) | 23.0198 | + | 39.8715i | 0.775557 | + | 1.34330i | 0.934481 | + | 0.356013i | \(0.115864\pi\) |
−0.158924 | + | 0.987291i | \(0.550802\pi\) | |||||||
\(882\) | −5.89423 | + | 3.40304i | −0.198469 | + | 0.114586i | ||||
\(883\) | 0.802236i | 0.0269974i | 0.999909 | + | 0.0134987i | \(0.00429690\pi\) | ||||
−0.999909 | + | 0.0134987i | \(0.995703\pi\) | |||||||
\(884\) | −17.3178 | + | 9.54459i | −0.582462 | + | 0.321019i | ||||
\(885\) | −34.0390 | + | 13.3710i | −1.14421 | + | 0.449461i | ||||
\(886\) | −5.50193 | − | 9.52962i | −0.184841 | − | 0.320154i | ||||
\(887\) | −7.12365 | + | 4.11284i | −0.239189 | + | 0.138096i | −0.614804 | − | 0.788680i | \(-0.710765\pi\) |
0.375615 | + | 0.926776i | \(0.377431\pi\) | |||||||
\(888\) | 14.4122 | + | 8.32087i | 0.483641 | + | 0.279230i | ||||
\(889\) | −50.6363 | −1.69829 | ||||||||
\(890\) | 10.6336 | − | 70.6918i | 0.356440 | − | 2.36959i | ||||
\(891\) | −3.56658 | + | 6.17750i | −0.119485 | + | 0.206954i | ||||
\(892\) | − | 0.0372125i | − | 0.00124597i | ||||||
\(893\) | −7.28589 | − | 4.20651i | −0.243813 | − | 0.140766i | ||||
\(894\) | −47.0112 | − | 81.4257i | −1.57229 | − | 2.72328i | ||||
\(895\) | 10.8511 | − | 13.6151i | 0.362713 | − | 0.455104i | ||||
\(896\) | −34.2529 | −1.14431 | ||||||||
\(897\) | 8.64207 | − | 14.3041i | 0.288550 | − | 0.477600i | ||||
\(898\) | 8.37054i | 0.279328i | ||||||||
\(899\) | −13.4424 | − | 23.2829i | −0.448328 | − | 0.776527i | ||||
\(900\) | 35.0113 | + | 10.7768i | 1.16704 | + | 0.359228i | ||||
\(901\) | 0.393064 | − | 0.680808i | 0.0130949 | − | 0.0226810i | ||||
\(902\) | − | 16.1056i | − | 0.536257i | ||||||
\(903\) | −7.49129 | − | 4.32510i | −0.249295 | − | 0.143930i | ||||
\(904\) | 17.4616 | − | 30.2443i | 0.580763 | − | 1.00591i | ||||
\(905\) | 3.16131 | + | 8.04788i | 0.105086 | + | 0.267521i | ||||
\(906\) | 58.5973 | − | 101.493i | 1.94676 | − | 3.37189i | ||||
\(907\) | 26.3583 | − | 15.2180i | 0.875213 | − | 0.505305i | 0.00613601 | − | 0.999981i | \(-0.498047\pi\) |
0.869077 | + | 0.494677i | \(0.164714\pi\) | |||||||
\(908\) | −43.7080 | + | 25.2348i | −1.45050 | + | 0.837447i | ||||
\(909\) | −21.6351 | −0.717591 | ||||||||
\(910\) | −20.9309 | − | 56.5636i | −0.693852 | − | 1.87506i | ||||
\(911\) | 43.6145 | 1.44501 | 0.722507 | − | 0.691363i | \(-0.242990\pi\) | ||||
0.722507 | + | 0.691363i | \(0.242990\pi\) | |||||||
\(912\) | −18.1089 | + | 10.4552i | −0.599646 | + | 0.346206i | ||||
\(913\) | 6.51492 | − | 3.76139i | 0.215612 | − | 0.124484i | ||||
\(914\) | −19.6354 | + | 34.0095i | −0.649481 | + | 1.12493i | ||||
\(915\) | −10.1722 | + | 3.99577i | −0.336282 | + | 0.132096i | ||||
\(916\) | 37.0569 | − | 64.1844i | 1.22439 | − | 2.12071i | ||||
\(917\) | 25.4486 | + | 14.6928i | 0.840387 | + | 0.485198i | ||||
\(918\) | − | 9.15616i | − | 0.302198i | ||||||
\(919\) | −18.5109 | + | 32.0618i | −0.610617 | + | 1.05762i | 0.380519 | + | 0.924773i | \(0.375745\pi\) |
−0.991137 | + | 0.132847i | \(0.957588\pi\) | |||||||
\(920\) | −18.9490 | + | 23.7757i | −0.624728 | + | 0.783861i | ||||
\(921\) | −13.6947 | − | 23.7198i | −0.451254 | − | 0.781595i | ||||
\(922\) | − | 65.8957i | − | 2.17016i | ||||||
\(923\) | 4.91309 | − | 8.13201i | 0.161716 | − | 0.267668i | ||||
\(924\) | 18.0033 | 0.592264 | ||||||||
\(925\) | −1.80037 | + | 5.84897i | −0.0591958 | + | 0.192313i | ||||
\(926\) | −8.96157 | − | 15.5219i | −0.294496 | − | 0.510081i | ||||
\(927\) | −15.5318 | − | 8.96730i | −0.510132 | − | 0.294525i | ||||
\(928\) | 16.4529i | 0.540092i | ||||||||
\(929\) | −2.38412 | + | 4.12942i | −0.0782206 | + | 0.135482i | −0.902482 | − | 0.430727i | \(-0.858257\pi\) |
0.824262 | + | 0.566209i | \(0.191591\pi\) | |||||||
\(930\) | −108.606 | − | 16.3368i | −3.56133 | − | 0.535704i | ||||
\(931\) | 2.23175 | 0.0731427 | ||||||||
\(932\) | −26.9670 | − | 15.5694i | −0.883334 | − | 0.509993i | ||||
\(933\) | 52.0624 | − | 30.0582i | 1.70445 | − | 0.984062i | ||||
\(934\) | 23.9443 | + | 41.4727i | 0.783481 | + | 1.35703i | ||||
\(935\) | 1.61780 | − | 0.635495i | 0.0529079 | − | 0.0207829i | ||||
\(936\) | −31.8674 | − | 19.2533i | −1.04162 | − | 0.629313i | ||||
\(937\) | − | 43.6264i | − | 1.42521i | −0.701565 | − | 0.712606i | \(-0.747515\pi\) | ||
0.701565 | − | 0.712606i | \(-0.252485\pi\) | |||||||
\(938\) | −52.0230 | + | 30.0355i | −1.69861 | + | 0.980693i | ||||
\(939\) | 26.4602 | + | 45.8305i | 0.863497 | + | 1.49562i | ||||
\(940\) | −9.18631 | + | 61.0701i | −0.299625 | + | 1.99189i | ||||
\(941\) | 18.2675 | 0.595504 | 0.297752 | − | 0.954643i | \(-0.403763\pi\) | ||||
0.297752 | + | 0.954643i | \(0.403763\pi\) | |||||||
\(942\) | 87.1677 | + | 50.3263i | 2.84008 | + | 1.63972i | ||||
\(943\) | −18.5732 | − | 10.7233i | −0.604828 | − | 0.349197i | ||||
\(944\) | −54.0569 | −1.75940 | ||||||||
\(945\) | 19.0938 | + | 2.87214i | 0.621123 | + | 0.0934308i | ||||
\(946\) | 1.10530 | + | 1.91444i | 0.0359365 | + | 0.0622439i | ||||
\(947\) | 17.3057 | − | 9.99146i | 0.562360 | − | 0.324679i | −0.191732 | − | 0.981447i | \(-0.561410\pi\) |
0.754092 | + | 0.656769i | \(0.228077\pi\) | |||||||
\(948\) | 10.0175i | 0.325353i | ||||||||
\(949\) | 0.740096 | − | 37.2246i | 0.0240245 | − | 1.20836i | ||||
\(950\) | −11.8246 | − | 12.7287i | −0.383639 | − | 0.412973i | ||||
\(951\) | 0.252298 | + | 0.436993i | 0.00818132 | + | 0.0141705i | ||||
\(952\) | −19.6713 | + | 11.3572i | −0.637551 | + | 0.368090i | ||||
\(953\) | 34.5228 | + | 19.9317i | 1.11830 | + | 0.645652i | 0.940967 | − | 0.338498i | \(-0.109919\pi\) |
0.177335 | + | 0.984150i | \(0.443252\pi\) | |||||||
\(954\) | 2.67352 | 0.0865583 | ||||||||
\(955\) | 10.9315 | + | 1.64434i | 0.353734 | + | 0.0532095i | ||||
\(956\) | −8.96157 | + | 15.5219i | −0.289838 | + | 0.502014i | ||||
\(957\) | 4.10190i | 0.132596i | ||||||||
\(958\) | 42.9416 | + | 24.7923i | 1.38738 | + | 0.801004i | ||||
\(959\) | 12.7420 | + | 22.0698i | 0.411461 | + | 0.712672i | ||||
\(960\) | −1.01714 | − | 0.810646i | −0.0328280 | − | 0.0261635i | ||||
\(961\) | 49.3098 | 1.59064 | ||||||||
\(962\) | 5.80951 | − | 9.61574i | 0.187306 | − | 0.310024i | ||||
\(963\) | 17.4523i | 0.562392i | ||||||||
\(964\) | 44.2973 | + | 76.7252i | 1.42672 | + | 2.47115i | ||||
\(965\) | 8.66704 | + | 6.90753i | 0.279002 | + | 0.222361i | ||||
\(966\) | 17.3371 | − | 30.0287i | 0.557811 | − | 0.966156i | ||||
\(967\) | 43.8607i | 1.41047i | 0.708975 | + | 0.705233i | \(0.249158\pi\) | ||||
−0.708975 | + | 0.705233i | \(0.750842\pi\) | |||||||
\(968\) | 57.9566 | + | 33.4613i | 1.86280 | + | 1.07549i | ||||
\(969\) | 1.79833 | − | 3.11480i | 0.0577707 | − | 0.100062i | ||||
\(970\) | 30.7688 | + | 78.3294i | 0.987928 | + | 2.51501i | ||||
\(971\) | −30.4897 | + | 52.8098i | −0.978462 | + | 1.69475i | −0.310459 | + | 0.950587i | \(0.600483\pi\) |
−0.668002 | + | 0.744159i | \(0.732850\pi\) | |||||||
\(972\) | 59.6253 | − | 34.4247i | 1.91248 | − | 1.10417i | ||||
\(973\) | 36.4589 | − | 21.0496i | 1.16882 | − | 0.674818i | ||||
\(974\) | 82.2887 | 2.63670 | ||||||||
\(975\) | 12.1533 | − | 36.8606i | 0.389217 | − | 1.18048i | ||||
\(976\) | −16.1543 | −0.517087 | ||||||||
\(977\) | −44.4875 | + | 25.6849i | −1.42328 | + | 0.821731i | −0.996578 | − | 0.0826604i | \(-0.973658\pi\) |
−0.426703 | + | 0.904392i | \(0.640325\pi\) | |||||||
\(978\) | 19.0376 | − | 10.9913i | 0.608754 | − | 0.351464i | ||||
\(979\) | 3.98780 | − | 6.90707i | 0.127451 | − | 0.220751i | ||||
\(980\) | −5.98973 | − | 15.2483i | −0.191335 | − | 0.487088i | ||||
\(981\) | 2.67352 | − | 4.63066i | 0.0853588 | − | 0.147846i | ||||
\(982\) | 63.2099 | + | 36.4942i | 2.01711 | + | 1.16458i | ||||
\(983\) | 37.3026i | 1.18977i | 0.803811 | + | 0.594885i | \(0.202802\pi\) | ||||
−0.803811 | + | 0.594885i | \(0.797198\pi\) | |||||||
\(984\) | −67.7221 | + | 117.298i | −2.15890 | + | 3.73933i | ||||
\(985\) | −11.7954 | − | 9.40079i | −0.375832 | − | 0.299534i | ||||
\(986\) | −4.67381 | − | 8.09528i | −0.148845 | − | 0.257806i | ||||
\(987\) | − | 38.9951i | − | 1.24123i | ||||||
\(988\) | 10.6438 | + | 19.3122i | 0.338623 | + | 0.614403i | ||||
\(989\) | 2.94369 | 0.0936040 | ||||||||
\(990\) | 4.62264 | + | 3.68419i | 0.146917 | + | 0.117091i | ||||
\(991\) | 25.7810 | + | 44.6541i | 0.818962 | + | 1.41848i | 0.906448 | + | 0.422318i | \(0.138783\pi\) |
−0.0874859 | + | 0.996166i | \(0.527883\pi\) | |||||||
\(992\) | −42.5633 | − | 24.5739i | −1.35139 | − | 0.780223i | ||||
\(993\) | − | 39.4556i | − | 1.25208i | ||||||
\(994\) | 9.85627 | − | 17.0716i | 0.312622 | − | 0.541477i | ||||
\(995\) | −11.4439 | − | 1.72142i | −0.362796 | − | 0.0545727i | ||||
\(996\) | −114.269 | −3.62074 | ||||||||
\(997\) | 19.8743 | + | 11.4744i | 0.629425 | + | 0.363399i | 0.780529 | − | 0.625119i | \(-0.214950\pi\) |
−0.151104 | + | 0.988518i | \(0.548283\pi\) | |||||||
\(998\) | 63.8508 | − | 36.8643i | 2.02116 | − | 1.16692i | ||||
\(999\) | 1.79833 | + | 3.11480i | 0.0568967 | + | 0.0985479i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))