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 | 9.6 | ||
Root | \(2.20467 - 1.27287i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 65.9 |
Dual form | 65.2.n.a.29.6 |
$q$-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 \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(41\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 | \(0.310193\pi\) | |||||||
\(3\) | −1.86449 | − | 1.07646i | −1.07646 | − | 0.621496i | −0.146523 | − | 0.989207i | \(-0.546808\pi\) |
−0.929940 | + | 0.367711i | \(0.880142\pi\) | |||||||
\(4\) | 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 | \(-0.854076\pi\) |
−0.0651198 | + | 0.997877i | \(0.520743\pi\) | |||||||
\(8\) | 6.31544i | 2.23284i | ||||||||
\(9\) | 0.817544 | + | 1.41603i | 0.272515 | + | 0.472010i | ||||
\(10\) | 0.846746 | − | 5.62912i | 0.267765 | − | 1.78008i | ||||
\(11\) | 0.317544 | − | 0.550003i | 0.0957433 | − | 0.165832i | −0.814175 | − | 0.580619i | \(-0.802811\pi\) |
0.909919 | + | 0.414787i | \(0.136144\pi\) | |||||||
\(12\) | − | 9.64680i | − | 2.78479i | ||||||
\(13\) | 3.60484 | − | 0.0716710i | 0.999802 | − | 0.0198779i | ||||
\(14\) | −7.48079 | −1.99932 | ||||||||
\(15\) | −0.716091 | + | 4.76053i | −0.184894 | + | 1.22916i | ||||
\(16\) | −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 | \(0.380754\pi\) | |||||||
\(18\) | 4.16251i | 0.981113i | ||||||||
\(19\) | 0.682456 | + | 1.18205i | 0.156566 | + | 0.271180i | 0.933628 | − | 0.358244i | \(-0.116624\pi\) |
−0.777062 | + | 0.629424i | \(0.783291\pi\) | |||||||
\(20\) | 6.24464 | − | 7.83529i | 1.39634 | − | 1.75202i | ||||
\(21\) | 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 | \(-0.261272\pi\) |
−0.292856 | + | 0.956157i | \(0.594606\pi\) | |||||||
\(24\) | 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 | −0.692480 | − | 0.721437i | \(-0.743482\pi\) |
0.971023 | + | 0.238987i | \(0.0768152\pi\) | |||||||
\(30\) | −7.63828 | + | 9.58393i | −1.39455 | + | 1.74978i | ||||
\(31\) | −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 | ||||||||
\(35\) | 5.13847 | + | 4.09531i | 0.868561 | + | 0.692233i | ||||
\(36\) | −3.66324 | + | 6.34492i | −0.610540 | + | 1.05749i | ||||
\(37\) | −1.05998 | − | 0.611979i | −0.174259 | − | 0.100609i | 0.410333 | − | 0.911936i | \(-0.365412\pi\) |
−0.584593 | + | 0.811327i | \(0.698746\pi\) | |||||||
\(38\) | 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 | −0.155300 | − | 0.987867i | \(-0.549634\pi\) |
0.933168 | − | 0.359440i | \(-0.117032\pi\) | |||||||
\(42\) | 13.9478 | + | 8.05279i | 2.15220 | + | 1.24257i | ||||
\(43\) | 1.18412 | − | 0.683650i | 0.180576 | − | 0.104256i | −0.406987 | − | 0.913434i | \(-0.633421\pi\) |
0.587563 | + | 0.809178i | \(0.300087\pi\) | |||||||
\(44\) | 2.84570 | 0.429005 | ||||||||
\(45\) | 2.27874 | − | 2.85918i | 0.339694 | − | 0.426222i | ||||
\(46\) | 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 | ||||
\(50\) | −12.4079 | + | 2.83976i | −1.75474 | + | 0.401603i | ||||
\(51\) | 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 | ||||
\(55\) | −1.40430 | − | 0.211239i | −0.189356 | − | 0.0284834i | ||||
\(56\) | −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 | 0.999980 | − | 0.00633858i | \(-0.00201765\pi\) |
−0.505479 | + | 0.862839i | \(0.668684\pi\) | |||||||
\(60\) | −20.0774 | + | 7.88669i | −2.59199 | + | 1.01817i | ||||
\(61\) | 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 | ||||
\(63\) | −4.16107 | − | 2.40240i | −0.524246 | − | 0.302674i | ||||
\(64\) | 0.270178 | 0.0337722 | ||||||||
\(65\) | −3.09628 | − | 7.44399i | −0.384046 | − | 0.923314i | ||||
\(66\) | −3.48079 | −0.428455 | ||||||||
\(67\) | −6.95421 | − | 4.01502i | −0.849592 | − | 0.490512i | 0.0109212 | − | 0.999940i | \(-0.496524\pi\) |
−0.860513 | + | 0.509428i | \(0.829857\pi\) | |||||||
\(68\) | −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 | 0.777191 | − | 0.629265i | \(-0.216644\pi\) |
−0.933555 | + | 0.358435i | \(0.883311\pi\) | |||||||
\(72\) | −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 | ||||
\(75\) | 10.4933 | − | 2.40158i | 1.21166 | − | 0.277310i | ||||
\(76\) | −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 | \(0.518605\pi\) | |||||||
\(80\) | 15.7346 | + | 2.36683i | 1.75918 | + | 0.264620i | ||||
\(81\) | 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 | ||||
\(85\) | 2.14026 | + | 1.70576i | 0.232144 | + | 0.185016i | ||||
\(86\) | 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 | 0.313541 | + | 0.949575i | \(0.398485\pi\) |
−0.979126 | + | 0.203253i | \(0.934849\pi\) | |||||||
\(90\) | 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 | ||||
\(95\) | 1.90220 | − | 2.38674i | 0.195162 | − | 0.244874i | ||||
\(96\) | 11.8073 | 1.20507 | ||||||||
\(97\) | −12.8031 | + | 7.39190i | −1.29996 | + | 0.750534i | −0.980397 | − | 0.197031i | \(-0.936870\pi\) |
−0.319565 | + | 0.947564i | \(0.603537\pi\) | |||||||
\(98\) | 3.60484 | − | 2.08125i | 0.364144 | − | 0.210238i | ||||
\(99\) | 1.03843 | 0.104366 | ||||||||
\(100\) | −21.4125 | − | 6.59098i | −2.14125 | − | 0.659098i | ||||
\(101\) | −6.61588 | + | 11.4590i | −0.658304 | + | 1.14022i | 0.322750 | + | 0.946484i | \(0.395393\pi\) |
−0.981054 | + | 0.193732i | \(0.937941\pi\) | |||||||
\(102\) | 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 | \(-0.160781\pi\) |
0.0184903 | + | 0.999829i | \(0.494114\pi\) | |||||||
\(108\) | −11.4030 | + | 6.58351i | −1.09725 | + | 0.633499i | ||||
\(109\) | 3.27018 | 0.313226 | 0.156613 | − | 0.987660i | \(-0.449942\pi\) | ||||
0.156613 | + | 0.987660i | \(0.449942\pi\) | |||||||
\(110\) | −2.82715 | − | 2.25321i | −0.269558 | − | 0.214835i | ||||
\(111\) | 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 | \(-0.582911\pi\) |
0.708044 | + | 0.706168i | \(0.249578\pi\) | |||||||
\(114\) | 3.74039 | − | 6.47855i | 0.350320 | − | 0.606772i | ||||
\(115\) | 0.716091 | − | 4.76053i | 0.0667759 | − | 0.443922i | ||||
\(116\) | 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 | ||||
\(120\) | −30.0648 | − | 4.52243i | −2.74453 | − | 0.412839i | ||||
\(121\) | 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 | \(-0.0563027\pi\) |
0.339813 | + | 0.940493i | \(0.389636\pi\) | |||||||
\(128\) | 10.0947 | + | 5.82819i | 0.892256 | + | 0.515144i | ||||
\(129\) | −2.94369 | −0.259178 | ||||||||
\(130\) | 2.64894 | − | 20.3527i | 0.232327 | − | 1.78505i | ||||
\(131\) | 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 | \(-0.787468\pi\) |
0.143593 | + | 0.989637i | \(0.454134\pi\) | |||||||
\(138\) | − | 11.7997i | − | 1.00446i | ||||||
\(139\) | 7.16324 | + | 12.4071i | 0.607578 | + | 1.05236i | 0.991638 | + | 0.129048i | \(0.0411922\pi\) |
−0.384060 | + | 0.923308i | \(0.625474\pi\) | |||||||
\(140\) | −4.37953 | + | 29.1148i | −0.370137 | + | 2.46065i | ||||
\(141\) | −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 | ||||||||
\(145\) | −6.63357 | − | 0.997839i | −0.550888 | − | 0.0828660i | ||||
\(146\) | −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 | −0.967518 | − | 0.252802i | \(-0.918648\pi\) |
0.264826 | − | 0.964296i | \(-0.414685\pi\) | |||||||
\(150\) | 26.1912 | + | 8.06192i | 2.13851 | + | 0.658253i | ||||
\(151\) | −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 | ||||
\(160\) | 9.59006 | + | 7.64317i | 0.758161 | + | 0.604245i | ||||
\(161\) | −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 | \(-0.616459\pi\) |
0.629826 | + | 0.776736i | \(0.283126\pi\) | |||||||
\(164\) | 44.6357 | 3.48546 | ||||||||
\(165\) | 2.39092 | + | 1.90553i | 0.186133 | + | 0.148346i | ||||
\(166\) | 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 | \(0.702936\pi\) | |||||||
\(168\) | 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 | \(-0.683219\pi\) |
0.454311 | + | 0.890843i | \(0.349886\pi\) | |||||||
\(174\) | −16.4424 | −1.24649 | ||||||||
\(175\) | 4.32244 | − | 14.0426i | 0.326746 | − | 1.06152i | ||||
\(176\) | 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 | −0.683061 | − | 0.730362i | \(-0.739352\pi\) |
0.974042 | + | 0.226367i | \(0.0726849\pi\) | |||||||
\(180\) | 16.2003 | + | 2.43688i | 1.20750 | + | 0.181635i | ||||
\(181\) | −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 | ||||
\(185\) | −0.407104 | + | 2.70640i | −0.0299309 | + | 0.198979i | ||||
\(186\) | 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 | 0.762633 | − | 0.646832i | \(-0.223906\pi\) |
−0.941489 | + | 0.337043i | \(0.890573\pi\) | |||||||
\(192\) | −0.503743 | − | 0.290836i | −0.0363545 | − | 0.0209893i | ||||
\(193\) | 4.29240 | + | 2.47822i | 0.308974 | + | 0.178386i | 0.646467 | − | 0.762942i | \(-0.276246\pi\) |
−0.337493 | + | 0.941328i | \(0.609579\pi\) | |||||||
\(194\) | −37.6357 | −2.70208 | ||||||||
\(195\) | −2.24020 | + | 17.2123i | −0.160424 | + | 1.23260i | ||||
\(196\) | 7.32648 | 0.523320 | ||||||||
\(197\) | −5.84174 | − | 3.37273i | −0.416207 | − | 0.240297i | 0.277246 | − | 0.960799i | \(-0.410578\pi\) |
−0.693453 | + | 0.720502i | \(0.743912\pi\) | |||||||
\(198\) | 2.28939 | + | 1.32178i | 0.162700 | + | 0.0939349i | ||||
\(199\) | 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 | ||||
\(201\) | 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 | ||||
\(205\) | −22.0269 | − | 3.31335i | −1.53843 | − | 0.231414i | ||||
\(206\) | 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 | ||||||||
\(210\) | 5.35693 | − | 35.6125i | 0.369663 | − | 2.45750i | ||||
\(211\) | 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 | ||||
\(213\) | 5.67315i | 0.388718i | ||||||||
\(214\) | 13.5861 | + | 23.5318i | 0.928726 | + | 1.60860i | ||||
\(215\) | −2.39092 | − | 1.90553i | −0.163059 | − | 0.129956i | ||||
\(216\) | −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 | \(-0.333422\pi\) |
−0.500241 | + | 0.865886i | \(0.666755\pi\) | |||||||
\(224\) | 8.05794 | − | 13.9568i | 0.538394 | − | 0.932525i | ||||
\(225\) | −7.81366 | − | 2.40512i | −0.520911 | − | 0.160341i | ||||
\(226\) | 14.0774 | 0.936418 | ||||||||
\(227\) | 9.75454 | − | 5.63179i | 0.647431 | − | 0.373795i | −0.140040 | − | 0.990146i | \(-0.544723\pi\) |
0.787471 | + | 0.616351i | \(0.211390\pi\) | |||||||
\(228\) | 11.4030 | − | 6.58351i | 0.755181 | − | 0.436004i | ||||
\(229\) | 16.5404 | 1.09302 | 0.546509 | − | 0.837453i | \(-0.315957\pi\) | ||||
0.546509 | + | 0.837453i | \(0.315957\pi\) | |||||||
\(230\) | 7.63828 | − | 9.58393i | 0.503653 | − | 0.631946i | ||||
\(231\) | 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 | \(0.541295\pi\) | |||||||
\(240\) | −26.7891 | − | 21.3506i | −1.72923 | − | 1.37818i | ||||
\(241\) | −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 | ||||||||
\(243\) | −13.3069 | + | 7.68273i | −0.853637 | + | 0.492848i | ||||
\(244\) | −5.08609 | + | 8.80937i | −0.325604 | + | 0.563962i | ||||
\(245\) | −3.61549 | − | 0.543852i | −0.230985 | − | 0.0347454i | ||||
\(246\) | −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 | ||||
\(250\) | 16.0543 | + | 23.5023i | 1.01536 | + | 1.48642i | ||||
\(251\) | −1.83676 | − | 3.18136i | −0.115935 | − | 0.200806i | 0.802218 | − | 0.597031i | \(-0.203653\pi\) |
−0.918153 | + | 0.396226i | \(0.870320\pi\) | |||||||
\(252\) | − | 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 | \(-0.197563\pi\) |
−0.0969108 | + | 0.995293i | \(0.530896\pi\) | |||||||
\(258\) | −6.48989 | − | 3.74694i | −0.404043 | − | 0.233274i | ||||
\(259\) | 3.59666 | 0.223486 | ||||||||
\(260\) | 21.9493 | − | 28.6925i | 1.36124 | − | 1.77943i | ||||
\(261\) | 4.90527 | 0.303628 | ||||||||
\(262\) | 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 | \(-0.716399\pi\) | |||||||
\(264\) | −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 | −0.975495 | − | 0.220022i | \(-0.929387\pi\) |
0.297203 | − | 0.954814i | \(-0.403946\pi\) | |||||||
\(270\) | 16.5415 | + | 2.48821i | 1.00668 | + | 0.151427i | ||||
\(271\) | 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 | ||||||
\(273\) | 22.8060 | − | 0.453425i | 1.38028 | − | 0.0274425i | ||||
\(274\) | −22.0774 | −1.33375 | ||||||||
\(275\) | 0.708438 | + | 3.09541i | 0.0427204 | + | 0.186660i | ||||
\(276\) | 10.3844 | − | 17.9863i | 0.625069 | − | 1.08265i | ||||
\(277\) | −14.5363 | + | 8.39254i | −0.873402 | + | 0.504259i | −0.868477 | − | 0.495729i | \(-0.834901\pi\) |
−0.00492452 | + | 0.999988i | \(0.501568\pi\) | |||||||
\(278\) | 36.4715i | 2.18741i | ||||||||
\(279\) | −7.32648 | − | 12.6898i | −0.438625 | − | 0.759721i | ||||
\(280\) | −25.8636 | + | 32.4517i | −1.54565 | + | 1.93936i | ||||
\(281\) | −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 | \(-0.248945\pi\) |
−0.255617 | + | 0.966778i | \(0.582279\pi\) | |||||||
\(284\) | 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 | ||||
\(290\) | −13.3548 | − | 10.6436i | −0.784218 | − | 0.625013i | ||||
\(291\) | 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 | \(-0.975642\pi\) |
−0.432331 | + | 0.901715i | \(0.642309\pi\) | |||||||
\(294\) | −8.96157 | −0.522650 | ||||||||
\(295\) | 10.5871 | − | 13.2838i | 0.616403 | − | 0.773415i | ||||
\(296\) | 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 | ||||||||
\(305\) | 3.16383 | − | 3.96973i | 0.181160 | − | 0.227306i | ||||
\(306\) | −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 | ||||
\(310\) | −7.58818 | + | 50.4457i | −0.430980 | + | 2.86513i | ||||
\(311\) | 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 | ||||
\(315\) | −1.59814 | + | 10.6243i | −0.0900448 | + | 0.598613i | ||||
\(316\) | −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 | ||||||||
\(325\) | −12.9615 | + | 12.5299i | −0.718975 | + | 0.695036i | ||||
\(326\) | 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 | 0.999991 | + | 0.00422829i | \(0.00134591\pi\) |
−0.496334 | + | 0.868132i | \(0.665321\pi\) | |||||||
\(332\) | 45.9652 | − | 26.5380i | 2.52267 | − | 1.45646i | ||||
\(333\) | − | 2.00128i | − | 0.109669i | ||||||
\(334\) | −3.74039 | − | 6.47855i | −0.204665 | − | 0.354491i | ||||
\(335\) | −2.67089 | + | 17.7559i | −0.145926 | + | 0.970110i | ||||
\(336\) | −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 | ||||||||
\(340\) | −1.82415 | + | 12.1268i | −0.0989283 | + | 0.657669i | ||||
\(341\) | −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 | ||||
\(345\) | −6.45968 | + | 8.10511i | −0.347777 | + | 0.436364i | ||||
\(346\) | −3.48079 | −0.187128 | ||||||||
\(347\) | 3.30407 | − | 1.90761i | 0.177372 | − | 0.102406i | −0.408685 | − | 0.912675i | \(-0.634013\pi\) |
0.586057 | + | 0.810270i | \(0.300679\pi\) | |||||||
\(348\) | −25.0631 | − | 14.4702i | −1.34352 | − | 0.775684i | ||||
\(349\) | 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 | ||||
\(351\) | 0.210609 | + | 10.5930i | 0.0112415 | + | 0.565413i | ||||
\(352\) | 3.48301i | 0.185645i | ||||||||
\(353\) | 23.4338 | + | 13.5295i | 1.24726 | + | 0.720104i | 0.970562 | − | 0.240853i | \(-0.0774272\pi\) |
0.276696 | + | 0.960958i | \(0.410761\pi\) | |||||||
\(354\) | 20.8178 | − | 36.0576i | 1.10646 | − | 1.91644i | ||||
\(355\) | −3.67238 | + | 4.60783i | −0.194910 | + | 0.244558i | ||||
\(356\) | −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 | \(0.752485\pi\) | |||||||
\(360\) | 18.0570 | + | 14.3912i | 0.951687 | + | 0.758484i | ||||
\(361\) | 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 | \(-0.391319\pi\) |
−0.648617 | + | 0.761115i | \(0.724652\pi\) | |||||||
\(368\) | −13.2675 | + | 7.65998i | −0.691615 | + | 0.399304i | ||||
\(369\) | 16.2881 | 0.847922 | ||||||||
\(370\) | −4.34243 | + | 5.44855i | −0.225752 | + | 0.283257i | ||||
\(371\) | 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 | \(-0.647595\pi\) |
0.550959 | + | 0.834532i | \(0.314262\pi\) | |||||||
\(374\) | −0.989429 | + | 1.71374i | −0.0511622 | + | 0.0886154i | ||||
\(375\) | −13.5770 | − | 19.8759i | −0.701116 | − | 1.02639i | ||||
\(376\) | 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 | −0.791880 | − | 0.610677i | \(-0.790897\pi\) |
0.924802 | + | 0.380449i | \(0.124231\pi\) | |||||||
\(380\) | 13.5234 | + | 2.03422i | 0.693734 | + | 0.104353i | ||||
\(381\) | −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 | \(-0.843673\pi\) |
−0.0324760 | + | 0.999473i | \(0.510339\pi\) | |||||||
\(384\) | −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 | \(0.666896\pi\) | |||||||
\(390\) | −26.8479 | + | 35.0960i | −1.35950 | + | 1.77715i | ||||
\(391\) | −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 | \(-0.590958\pi\) |
0.689969 | + | 0.723839i | \(0.257624\pi\) | |||||||
\(398\) | 13.1753i | 0.660420i | ||||||||
\(399\) | 4.31754 | + | 7.47821i | 0.216148 | + | 0.374379i | ||||
\(400\) | −7.93772 | − | 34.6826i | −0.396886 | − | 1.73413i | ||||
\(401\) | −12.2510 | + | 21.2193i | −0.611784 | + | 1.05964i | 0.379156 | + | 0.925333i | \(0.376214\pi\) |
−0.990940 | + | 0.134308i | \(0.957119\pi\) | |||||||
\(402\) | 44.0109i | 2.19506i | ||||||||
\(403\) | −32.3050 | + | 0.642285i | −1.60923 | + | 0.0319945i | ||||
\(404\) | −59.2887 | −2.94972 | ||||||||
\(405\) | −24.8356 | − | 3.73583i | −1.23409 | − | 0.185635i | ||||
\(406\) | −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 | 0.836355 | + | 0.548188i | \(0.184682\pi\) |
0.0565671 | + | 0.998399i | \(0.481985\pi\) | |||||||
\(410\) | −44.3448 | − | 35.3423i | −2.19003 | − | 1.74543i | ||||
\(411\) | 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 | −0.937623 | − | 0.347655i | \(-0.886978\pi\) |
0.769889 | + | 0.638178i | \(0.220311\pi\) | |||||||
\(420\) | 39.5066 | − | 49.5698i | 1.92772 | − | 2.41876i | ||||
\(421\) | 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 | ||||||||
\(425\) | 1.80037 | − | 5.84897i | 0.0873308 | − | 0.283717i | ||||
\(426\) | −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 | −0.601270 | − | 0.799046i | \(-0.705339\pi\) |
0.992629 | + | 0.121193i | \(0.0386719\pi\) | |||||||
\(432\) | −18.1089 | − | 10.4552i | −0.871265 | − | 0.503025i | ||||
\(433\) | 0.221929 | − | 0.128130i | 0.0106652 | − | 0.00615756i | −0.494658 | − | 0.869088i | \(-0.664707\pi\) |
0.505323 | + | 0.862930i | \(0.331373\pi\) | |||||||
\(434\) | 67.0396 | 3.21800 | ||||||||
\(435\) | 11.2941 | + | 9.00126i | 0.541510 | + | 0.431577i | ||||
\(436\) | 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 | −0.942318 | − | 0.334718i | \(-0.891359\pi\) |
0.761034 | + | 0.648712i | \(0.224692\pi\) | |||||||
\(440\) | 1.33407 | − | 8.86879i | 0.0635991 | − | 0.422803i | ||||
\(441\) | 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 | ||||
\(445\) | 27.7687 | + | 4.17703i | 1.31636 | + | 0.198010i | ||||
\(446\) | −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 | 0.902208 | − | 0.431301i | \(-0.141945\pi\) |
−0.824622 | + | 0.565685i | \(0.808612\pi\) | |||||||
\(450\) | −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 | ||||||||
\(455\) | 18.8169 | + | 14.3946i | 0.882149 | + | 0.674831i | ||||
\(456\) | 18.5582 | 0.869069 | ||||||||
\(457\) | −13.3594 | − | 7.71304i | −0.624925 | − | 0.360801i | 0.153859 | − | 0.988093i | \(-0.450830\pi\) |
−0.778784 | + | 0.627292i | \(0.784163\pi\) | |||||||
\(458\) | 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 | −0.992397 | − | 0.123076i | \(-0.960724\pi\) |
0.389611 | − | 0.920979i | \(-0.372609\pi\) | |||||||
\(462\) | 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 | ||||
\(465\) | 6.41730 | − | 42.6618i | 0.297595 | − | 1.97840i | ||||
\(466\) | 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 | ||||||||
\(470\) | −34.6967 | − | 5.21916i | −1.60044 | − | 0.240742i | ||||
\(471\) | −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 | ||||
\(475\) | −6.52255 | − | 2.00771i | −0.299275 | − | 0.0921199i | ||||
\(476\) | 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 | −0.998051 | − | 0.0624114i | \(-0.980121\pi\) |
0.553075 | + | 0.833131i | \(0.313454\pi\) | |||||||
\(480\) | −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 | ||||
\(485\) | 25.8516 | + | 20.6034i | 1.17386 | + | 0.935552i | ||||
\(486\) | −39.1165 | −1.77436 | ||||||||
\(487\) | 27.9935 | − | 16.1620i | 1.26851 | − | 0.732372i | 0.293800 | − | 0.955867i | \(-0.405080\pi\) |
0.974705 | + | 0.223495i | \(0.0717467\pi\) | |||||||
\(488\) | −12.4163 | + | 7.16858i | −0.562062 | + | 0.324506i | ||||
\(489\) | −8.63509 | −0.390492 | ||||||||
\(490\) | −7.27874 | − | 5.80107i | −0.328820 | − | 0.262066i | ||||
\(491\) | −14.3354 | + | 24.8297i | −0.646949 | + | 1.12055i | 0.336899 | + | 0.941541i | \(0.390622\pi\) |
−0.983848 | + | 0.179007i | \(0.942711\pi\) | |||||||
\(492\) | −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 | \(0.724498\pi\) | |||||||
\(500\) | 3.78816 | + | 49.9533i | 0.169412 | + | 2.23398i | ||||
\(501\) | 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 | \(-0.882247\pi\) |
−0.153063 | + | 0.988216i | \(0.548914\pi\) | |||||||
\(504\) | 15.1722 | − | 26.2790i | 0.675823 | − | 1.17056i | ||||
\(505\) | 29.2579 | + | 4.40105i | 1.30196 | + | 0.195844i | ||||
\(506\) | 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 | −0.531427 | − | 0.847104i | \(-0.678344\pi\) |
0.999327 | + | 0.0366773i | \(0.0116774\pi\) | |||||||
\(510\) | 2.23125 | − | 14.8332i | 0.0988015 | − | 0.656826i | ||||
\(511\) | −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 | ||||||||
\(520\) | 47.0121 | − | 19.5544i | 2.06162 | − | 0.857516i | ||||
\(521\) | 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 | \(-0.106886\pi\) |
0.186706 | + | 0.982416i | \(0.440219\pi\) | |||||||
\(524\) | 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 | ||||
\(530\) | −3.61549 | − | 0.543852i | −0.157047 | − | 0.0236234i | ||||
\(531\) | −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 | ||||||||
\(535\) | 3.55018 | − | 23.6014i | 0.153488 | − | 1.02038i | ||||
\(536\) | 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 | ||||
\(540\) | 23.0244 | + | 18.3502i | 0.990813 | + | 0.789666i | ||||
\(541\) | 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 | ||||
\(550\) | −2.37818 | + | 7.72612i | −0.101406 | + | 0.329443i | ||||
\(551\) | 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 | ||||||||
\(555\) | 3.67238 | − | 4.60783i | 0.155884 | − | 0.195591i | ||||
\(556\) | −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 | \(0.522164\pi\) | |||||||
\(558\) | − | 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 | \(-0.592480\pi\) |
0.686499 | + | 0.727131i | \(0.259147\pi\) | |||||||
\(564\) | −59.4608 | −2.50375 | ||||||||
\(565\) | −9.66965 | − | 7.70660i | −0.406805 | − | 0.324219i | ||||
\(566\) | 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 | 0.0618981 | − | 0.998082i | \(-0.480285\pi\) |
0.833416 | − | 0.552647i | \(-0.186382\pi\) | |||||||
\(570\) | −16.5415 | − | 2.48821i | −0.692845 | − | 0.104220i | ||||
\(571\) | −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 | ||||
\(575\) | −10.4933 | + | 2.40158i | −0.437601 | + | 0.100153i | ||||
\(576\) | 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 | ||||||||
\(585\) | 8.00956 | − | 10.4702i | 0.331155 | − | 0.432890i | ||||
\(586\) | −71.9237 | −2.97114 | ||||||||
\(587\) | −0.608726 | − | 0.351448i | −0.0251248 | − | 0.0145058i | 0.487385 | − | 0.873187i | \(-0.337951\pi\) |
−0.512510 | + | 0.858681i | \(0.671284\pi\) | |||||||
\(588\) | −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 | ||||
\(595\) | −7.95291 | − | 1.19630i | −0.326037 | − | 0.0490434i | ||||
\(596\) | 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 | \(0.396127\pi\) | |||||||
\(600\) | 15.1670 | + | 66.2698i | 0.619190 | + | 2.70546i | ||||
\(601\) | −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 | ||||
\(603\) | − | 13.1298i | − | 0.534687i | ||||||
\(604\) | −47.9059 | − | 82.9754i | −1.94926 | − | 3.37622i | ||||
\(605\) | 14.7680 | − | 18.5298i | 0.600405 | − | 0.753342i | ||||
\(606\) | 72.5204 | 2.94594 | ||||||||
\(607\) | −33.5035 | + | 19.3433i | −1.35987 | + | 0.785119i | −0.989606 | − | 0.143809i | \(-0.954065\pi\) |
−0.370261 | + | 0.928928i | \(0.620732\pi\) | |||||||
\(608\) | −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 | \(-0.219839\pi\) |
−0.166269 | + | 0.986081i | \(0.553172\pi\) | |||||||
\(614\) | 16.1933 | − | 28.0477i | 0.653509 | − | 1.13191i | ||||
\(615\) | 37.5023 | + | 29.8889i | 1.51224 | + | 1.20524i | ||||
\(616\) | −11.7861 | −0.474877 | ||||||||
\(617\) | −22.9229 | + | 13.2345i | −0.922841 | + | 0.532803i | −0.884540 | − | 0.466464i | \(-0.845528\pi\) |
−0.0383009 | + | 0.999266i | \(0.512195\pi\) | |||||||
\(618\) | −52.0624 | + | 30.0582i | −2.09426 | + | 1.20912i | ||||
\(619\) | 31.0039 | 1.24615 | 0.623075 | − | 0.782162i | \(-0.285883\pi\) | ||||
0.623075 | + | 0.782162i | \(0.285883\pi\) | |||||||
\(620\) | −55.9618 | + | 70.2165i | −2.24748 | + | 2.81996i | ||||
\(621\) | −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 | ||||||||
\(630\) | −17.0467 | + | 21.3889i | −0.679159 | + | 0.852156i | ||||
\(631\) | 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 | ||||||
\(633\) | −26.1362 | + | 15.0897i | −1.03882 | + | 0.599763i | ||||
\(634\) | −0.298331 | + | 0.516725i | −0.0118482 | + | 0.0205218i | ||||
\(635\) | 5.73149 | − | 38.1026i | 0.227447 | − | 1.51206i | ||||
\(636\) | −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 | ||||
\(640\) | 3.87707 | − | 25.7745i | 0.153254 | − | 1.01883i | ||||
\(641\) | −10.5947 | − | 18.3506i | −0.418467 | − | 0.724806i | 0.577319 | − | 0.816519i | \(-0.304099\pi\) |
−0.995785 | + | 0.0917132i | \(0.970766\pi\) | |||||||
\(642\) | − | 58.4997i | − | 2.30880i | ||||||
\(643\) | −9.98843 | + | 5.76682i | −0.393905 | + | 0.227421i | −0.683851 | − | 0.729622i | \(-0.739696\pi\) |
0.289946 | + | 0.957043i | \(0.406363\pi\) | |||||||
\(644\) | −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 | \(-0.573521\pi\) |
−0.957490 | + | 0.288467i | \(0.906854\pi\) | |||||||
\(648\) | 61.4301 | + | 35.4667i | 2.41320 | + | 1.39326i | ||||
\(649\) | 4.82456 | 0.189380 | ||||||||
\(650\) | −44.5249 | + | 11.1262i | −1.74641 | + | 0.436404i | ||||
\(651\) | −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 | \(-0.477217\pi\) |
−0.828051 | + | 0.560653i | \(0.810550\pi\) | |||||||
\(654\) | −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 | 0.857460 | − | 0.514550i | \(-0.172041\pi\) |
−0.874344 | + | 0.485307i | \(0.838708\pi\) | |||||||
\(660\) | −2.03778 | + | 13.5470i | −0.0793205 | + | 0.527318i | ||||
\(661\) | −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 | ||||||||
\(663\) | 9.49907 | − | 0.188859i | 0.368913 | − | 0.00733469i | ||||
\(664\) | 74.8079 | 2.90311 | ||||||||
\(665\) | −1.33407 | + | 8.86879i | −0.0517328 | + | 0.343917i | ||||
\(666\) | 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 | ||||
\(670\) | −28.4894 | + | 35.7464i | −1.10064 | + | 1.38100i | ||||
\(671\) | 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 | \(-0.299446\pi\) |
−0.405146 | + | 0.914252i | \(0.632779\pi\) | |||||||
\(674\) | −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 | ||||
\(680\) | −10.7726 | + | 13.5167i | −0.413112 | + | 0.518341i | ||||
\(681\) | −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 | \(-0.594415\pi\) |
0.682065 | + | 0.731291i | \(0.261082\pi\) | |||||||
\(684\) | −10.0000 | −0.382360 | ||||||||
\(685\) | 15.1648 | + | 12.0861i | 0.579416 | + | 0.461788i | ||||
\(686\) | 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 | −0.908593 | − | 0.417684i | \(-0.862842\pi\) |
0.816021 | + | 0.578022i | \(0.196175\pi\) | |||||||
\(692\) | −5.30577 | − | 3.06329i | −0.201695 | − | 0.116449i | ||||
\(693\) | −2.64265 | + | 1.52574i | −0.100386 | + | 0.0579579i | ||||
\(694\) | 9.71254 | 0.368683 | ||||||||
\(695\) | 19.9661 | − | 25.0519i | 0.757356 | − | 0.950272i | ||||
\(696\) | −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 | ||||
\(700\) | 64.1758 | − | 14.6877i | 2.42562 | − | 0.555145i | ||||
\(701\) | 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 | ||||
\(705\) | 29.3429 | + | 4.41383i | 1.10512 | + | 0.166235i | ||||
\(706\) | 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 | 0.509527 | − | 0.860455i | \(-0.329820\pi\) |
−0.999939 | + | 0.0110357i | \(0.996487\pi\) | |||||||
\(710\) | −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 | ||||||||
\(715\) | −5.07743 | − | 0.660834i | −0.189885 | − | 0.0247138i | ||||
\(716\) | 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 | 0.973776 | + | 0.227510i | \(0.0730586\pi\) |
−0.289858 | + | 0.957070i | \(0.593608\pi\) | |||||||
\(720\) | 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 | ||||
\(725\) | 3.34648 | + | 14.6219i | 0.124285 | + | 0.543045i | ||||
\(726\) | 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 | ||||||||
\(730\) | 58.1279 | + | 8.74375i | 2.15141 | + | 0.323621i | ||||
\(731\) | −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 | ||||
\(735\) | 6.15561 | + | 4.90595i | 0.227053 | + | 0.180959i | ||||
\(736\) | −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 | 0.360102 | + | 0.932913i | \(0.382742\pi\) |
−0.987977 | + | 0.154599i | \(0.950591\pi\) | |||||||
\(740\) | −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 | \(-0.351564\pi\) |
−0.548753 | + | 0.835984i | \(0.684897\pi\) | |||||||
\(744\) | −60.9237 | + | 105.523i | −2.23357 | + | 3.86866i | ||||
\(745\) | −23.9079 | + | 29.9978i | −0.875917 | + | 1.09903i | ||||
\(746\) | 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 | ||||||||
\(750\) | −4.63359 | − | 61.1016i | −0.169195 | − | 2.23112i | ||||
\(751\) | −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 | ||||
\(753\) | 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 | \(-0.303791\pi\) |
−0.417587 | + | 0.908637i | \(0.637124\pi\) | |||||||
\(758\) | 11.4102 | − | 6.58767i | 0.414436 | − | 0.239275i | ||||
\(759\) | −2.94369 | −0.106849 | ||||||||
\(760\) | 15.0733 | + | 12.0132i | 0.546766 | + | 0.435766i | ||||
\(761\) | 14.8931 | + | 25.7955i | 0.539873 | + | 0.935088i | 0.998910 | + | 0.0466707i | \(0.0148611\pi\) |
−0.459037 | + | 0.888417i | \(0.651806\pi\) | |||||||
\(762\) | − | 94.4433i | − | 3.42132i | ||||||
\(763\) | −8.32215 | + | 4.80479i | −0.301282 | + | 0.173945i | ||||
\(764\) | 11.0758 | − | 19.1839i | 0.400709 | − | 0.694048i | ||||
\(765\) | −0.665652 | + | 4.42521i | −0.0240667 | + | 0.159994i | ||||
\(766\) | −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 | −0.640880 | − | 0.767641i | \(-0.721430\pi\) |
0.985237 | + | 0.171198i | \(0.0547638\pi\) | |||||||
\(770\) | 10.5053 | + | 1.58023i | 0.378584 | + | 0.0569476i | ||||
\(771\) | −14.2791 | − | 24.7322i | −0.514250 | − | 0.890707i | ||||
\(772\) | 22.2088i | 0.799311i | ||||||||
\(773\) | 42.6350 | − | 24.6153i | 1.53347 | − | 0.885351i | 0.534275 | − | 0.845311i | \(-0.320585\pi\) |
0.999198 | − | 0.0400400i | \(-0.0127485\pi\) | |||||||
\(774\) | 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 | ||||||||
\(780\) | −71.8107 | + | 29.8692i | −2.57124 | + | 1.06949i | ||||
\(781\) | −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 | \(-0.610878\pi\) |
0.643349 | + | 0.765573i | \(0.277545\pi\) | |||||||
\(788\) | − | 30.2250i | − | 1.07672i | ||||||
\(789\) | 32.5851 | + | 56.4390i | 1.16006 | + | 2.00928i | ||||
\(790\) | −0.879284 | + | 5.84543i | −0.0312835 | + | 0.207971i | ||||
\(791\) | −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 | ||||||||
\(795\) | 3.05762 | + | 0.459934i | 0.108442 | + | 0.0163122i | ||||
\(796\) | −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 | \(0.427949\pi\) | |||||||
\(798\) | 21.9827i | 0.778178i | ||||||||
\(799\) | 3.77211 | + | 6.53348i | 0.133448 | + | 0.231138i | ||||
\(800\) | 8.06708 | − | 26.2080i | 0.285214 | − | 0.926592i | ||||
\(801\) | −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 | 0.437756 | + | 0.899094i | \(0.355773\pi\) |
−0.997516 | + | 0.0704392i | \(0.977560\pi\) | |||||||
\(810\) | −49.9991 | − | 39.8487i | −1.75679 | − | 1.40014i | ||||
\(811\) | 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 | ||||||||
\(815\) | −7.01356 | − | 5.58973i | −0.245674 | − | 0.195800i | ||||
\(816\) | −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 | −0.949719 | − | 0.313103i | \(-0.898631\pi\) |
0.746015 | + | 0.665929i | \(0.231965\pi\) | |||||||
\(822\) | 41.1631 | + | 23.7656i | 1.43573 | + | 0.828919i | ||||
\(823\) | 28.0867 | − | 16.2159i | 0.979041 | − | 0.565249i | 0.0770602 | − | 0.997026i | \(-0.475447\pi\) |
0.901980 | + | 0.431777i | \(0.142113\pi\) | |||||||
\(824\) | 69.2714 | 2.41318 | ||||||||
\(825\) | 2.01122 | − | 6.53396i | 0.0700216 | − | 0.227483i | ||||
\(826\) | −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 | −0.833647 | − | 0.552298i | \(-0.813751\pi\) |
0.895128 | + | 0.445810i | \(0.147084\pi\) | |||||||
\(830\) | −66.6783 | − | 10.0299i | −2.31444 | − | 0.348143i | ||||
\(831\) | 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 | ||||
\(835\) | −0.977401 | + | 6.49770i | −0.0338244 | + | 0.224862i | ||||
\(836\) | 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 | 0.935822 | + | 0.352472i | \(0.114659\pi\) |
−0.162661 | + | 0.986682i | \(0.552008\pi\) | |||||||
\(840\) | 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 | ||||||||
\(845\) | −11.6951 | − | 26.6125i | −0.402324 | − | 0.915497i | ||||
\(846\) | 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 | ||||
\(855\) | 4.93483 | + | 0.742310i | 0.168768 | + | 0.0253865i | ||||
\(856\) | −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 | \(0.921639\pi\) | |||||||
\(860\) | 2.03778 | − | 13.5470i | 0.0694877 | − | 0.461950i | ||||
\(861\) | 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 | ||||
\(865\) | 2.39092 | + | 1.90553i | 0.0812936 | + | 0.0647901i | ||||
\(866\) | 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 | ||||
\(875\) | −32.7599 | + | 2.48432i | −1.10749 | + | 0.0839854i | ||||
\(876\) | 99.6157 | 3.36570 | ||||||||
\(877\) | 31.2333 | − | 18.0325i | 1.05467 | − | 0.608916i | 0.130719 | − | 0.991419i | \(-0.458271\pi\) |
0.923954 | + | 0.382504i | \(0.124938\pi\) | |||||||
\(878\) | −16.7482 | + | 9.66956i | −0.565223 | + | 0.326332i | ||||
\(879\) | 60.8257 | 2.05160 | ||||||||
\(880\) | 6.29819 | − | 7.90248i | 0.212312 | − | 0.266393i | ||||
\(881\) | 23.0198 | − | 39.8715i | 0.775557 | − | 1.34330i | −0.158924 | − | 0.987291i | \(-0.550802\pi\) |
0.934481 | − | 0.356013i | \(-0.115864\pi\) | |||||||
\(882\) | 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 | \(-0.289235\pi\) |
−0.375615 | + | 0.926776i | \(0.622569\pi\) | |||||||
\(888\) | −14.4122 | + | 8.32087i | −0.483641 | + | 0.279230i | ||||
\(889\) | −50.6363 | −1.69829 | ||||||||
\(890\) | 55.9041 | + | 44.5549i | 1.87391 | + | 1.49348i | ||||
\(891\) | −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 | ||||
\(895\) | −17.2166 | − | 2.58977i | −0.575488 | − | 0.0865664i | ||||
\(896\) | −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 | ||||
\(900\) | −8.17266 | − | 35.7091i | −0.272422 | − | 1.19030i | ||||
\(901\) | 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 | \(-0.501953\pi\) |
−0.869077 | + | 0.494677i | \(0.835286\pi\) | |||||||
\(908\) | 43.7080 | + | 25.2348i | 1.45050 | + | 0.837447i | ||||
\(909\) | −21.6351 | −0.717591 | ||||||||
\(910\) | 23.1626 | + | 55.6869i | 0.767833 | + | 1.84600i | ||||
\(911\) | 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 | −0.991137 | − | 0.132847i | \(-0.957588\pi\) |
0.380519 | − | 0.924773i | \(-0.375745\pi\) | |||||||
\(920\) | 30.0648 | + | 4.52243i | 0.991208 | + | 0.149100i | ||||
\(921\) | −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 | ||||||||
\(925\) | 5.96554 | − | 1.36532i | 0.196146 | − | 0.0448914i | ||||
\(926\) | −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 | 0.824262 | − | 0.566209i | \(-0.191591\pi\) |
−0.902482 | + | 0.430727i | \(0.858257\pi\) | |||||||
\(930\) | 68.4510 | − | 85.8871i | 2.24460 | − | 2.81635i | ||||
\(931\) | 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 | ||||
\(940\) | −48.2951 | − | 38.4906i | −1.57521 | − | 1.25543i | ||||
\(941\) | 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 | ||||||||
\(945\) | −12.0343 | + | 15.0997i | −0.391475 | + | 0.491192i | ||||
\(946\) | 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 | \(0.771923\pi\) | |||||||
\(948\) | 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 | \(-0.890081\pi\) |
−0.177335 | + | 0.984150i | \(0.556748\pi\) | |||||||
\(954\) | 2.67352 | 0.0865583 | ||||||||
\(955\) | −6.88976 | + | 8.64475i | −0.222948 | + | 0.279737i | ||||
\(956\) | −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 | ||||
\(960\) | −0.193472 | + | 1.28619i | −0.00624428 | + | 0.0415116i | ||||
\(961\) | 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 | ||||
\(965\) | 1.64858 | − | 10.9596i | 0.0530696 | − | 0.352803i | ||||
\(966\) | 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 | −0.668002 | − | 0.744159i | \(-0.732850\pi\) |
−0.310459 | − | 0.950587i | \(-0.600483\pi\) | |||||||
\(972\) | −59.6253 | − | 34.4247i | −1.91248 | − | 1.10417i | ||||
\(973\) | −36.4589 | − | 21.0496i | −1.16882 | − | 0.674818i | ||||
\(974\) | 82.2887 | 2.63670 | ||||||||
\(975\) | 37.6546 | − | 9.40937i | 1.20591 | − | 0.301341i | ||||
\(976\) | −16.1543 | −0.517087 | ||||||||
\(977\) | 44.4875 | + | 25.6849i | 1.42328 | + | 0.821731i | 0.996578 | − | 0.0826604i | \(-0.0263417\pi\) |
0.426703 | + | 0.904392i | \(0.359675\pi\) | |||||||
\(978\) | −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 | ||||
\(985\) | −2.24363 | + | 14.9155i | −0.0714880 | + | 0.475248i | ||||
\(986\) | −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 | ||||||||
\(990\) | 0.879284 | − | 5.84543i | 0.0279455 | − | 0.185780i | ||||
\(991\) | 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 | ||||
\(993\) | − | 39.4556i | − | 1.25208i | ||||||
\(994\) | 9.85627 | + | 17.0716i | 0.312622 | + | 0.541477i | ||||
\(995\) | 7.21274 | − | 9.05000i | 0.228659 | − | 0.286904i | ||||
\(996\) | −114.269 | −3.62074 | ||||||||
\(997\) | −19.8743 | + | 11.4744i | −0.629425 | + | 0.363399i | −0.780529 | − | 0.625119i | \(-0.785050\pi\) |
0.151104 | + | 0.988518i | \(0.451717\pi\) | |||||||
\(998\) | −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 \(a_p\))