Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(654,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.654");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.l (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 654.1 | ||
Character | \(\chi\) | \(=\) | 845.654 |
Dual form | 845.2.l.f.699.1 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.27287 | + | 2.20467i | −0.900055 | + | 1.55894i | −0.0726333 | + | 0.997359i | \(0.523140\pi\) |
−0.827421 | + | 0.561582i | \(0.810193\pi\) | |||||||
\(3\) | −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 | ||||
\(5\) | 2.08125 | − | 0.817544i | 0.930765 | − | 0.365617i | ||||
\(6\) | 4.74650 | − | 2.74039i | 1.93775 | − | 1.11876i | ||||
\(7\) | 1.46928 | + | 2.54486i | 0.555334 | + | 0.961867i | 0.997877 | + | 0.0651198i | \(0.0207430\pi\) |
−0.442543 | + | 0.896747i | \(0.645924\pi\) | |||||||
\(8\) | 6.31544 | 2.23284 | ||||||||
\(9\) | 0.817544 | + | 1.41603i | 0.272515 | + | 0.472010i | ||||
\(10\) | −0.846746 | + | 5.62912i | −0.267765 | + | 1.78008i | ||||
\(11\) | −0.550003 | − | 0.317544i | −0.165832 | − | 0.0957433i | 0.414787 | − | 0.909919i | \(-0.363856\pi\) |
−0.580619 | + | 0.814175i | \(0.697189\pi\) | |||||||
\(12\) | 9.64680i | 2.78479i | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −7.48079 | −1.99932 | ||||||||
\(15\) | −4.76053 | − | 0.716091i | −1.22916 | − | 0.184894i | ||||
\(16\) | −3.55794 | + | 6.16253i | −0.889484 | + | 1.54063i | ||||
\(17\) | 1.05998 | − | 0.611979i | 0.257082 | − | 0.148427i | −0.365920 | − | 0.930646i | \(-0.619246\pi\) |
0.623003 | + | 0.782220i | \(0.285912\pi\) | |||||||
\(18\) | −4.16251 | −0.981113 | ||||||||
\(19\) | −1.18205 | + | 0.682456i | −0.271180 | + | 0.156566i | −0.629424 | − | 0.777062i | \(-0.716709\pi\) |
0.358244 | + | 0.933628i | \(0.383376\pi\) | |||||||
\(20\) | −7.83529 | − | 6.24464i | −1.75202 | − | 1.39634i | ||||
\(21\) | − | 6.32648i | − | 1.38055i | ||||||
\(22\) | 1.40016 | − | 0.808385i | 0.298516 | − | 0.172348i | ||||
\(23\) | −1.86449 | − | 1.07646i | −0.388773 | − | 0.224458i | 0.292856 | − | 0.956157i | \(-0.405394\pi\) |
−0.681628 | + | 0.731699i | \(0.738728\pi\) | |||||||
\(24\) | −11.7751 | − | 6.79833i | −2.40357 | − | 1.38770i | ||||
\(25\) | 3.66324 | − | 3.40304i | 0.732648 | − | 0.680607i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.93855i | 0.565525i | ||||||||
\(28\) | 6.58351 | − | 11.4030i | 1.24417 | − | 2.15496i | ||||
\(29\) | 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 | ||||
\(31\) | − | 8.96157i | − | 1.60955i | −0.593583 | − | 0.804773i | \(-0.702287\pi\) | ||
0.593583 | − | 0.804773i | \(-0.297713\pi\) | |||||||
\(32\) | −2.74215 | − | 4.74954i | −0.484747 | − | 0.839607i | ||||
\(33\) | 0.683650 | + | 1.18412i | 0.119008 | + | 0.206128i | ||||
\(34\) | 3.11588i | 0.534368i | ||||||||
\(35\) | 5.13847 | + | 4.09531i | 0.868561 | + | 0.692233i | ||||
\(36\) | 3.66324 | − | 6.34492i | 0.610540 | − | 1.05749i | ||||
\(37\) | −0.611979 | + | 1.05998i | −0.100609 | + | 0.174259i | −0.911936 | − | 0.410333i | \(-0.865412\pi\) |
0.811327 | + | 0.584593i | \(0.198746\pi\) | |||||||
\(38\) | − | 3.47471i | − | 0.563672i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 13.1440 | − | 5.16315i | 2.07825 | − | 0.816366i | ||||
\(41\) | 8.62698 | + | 4.98079i | 1.34731 | + | 0.777868i | 0.987867 | − | 0.155300i | \(-0.0496344\pi\) |
0.359440 | + | 0.933168i | \(0.382968\pi\) | |||||||
\(42\) | 13.9478 | + | 8.05279i | 2.15220 | + | 1.24257i | ||||
\(43\) | −1.18412 | + | 0.683650i | −0.180576 | + | 0.104256i | −0.587563 | − | 0.809178i | \(-0.699913\pi\) |
0.406987 | + | 0.913434i | \(0.366579\pi\) | |||||||
\(44\) | 2.84570i | 0.429005i | ||||||||
\(45\) | 2.85918 | + | 2.27874i | 0.426222 | + | 0.339694i | ||||
\(46\) | 4.74650 | − | 2.74039i | 0.699833 | − | 0.404049i | ||||
\(47\) | −6.16379 | −0.899081 | −0.449540 | − | 0.893260i | \(-0.648412\pi\) | ||||
−0.449540 | + | 0.893260i | \(0.648412\pi\) | |||||||
\(48\) | 13.2675 | − | 7.65998i | 1.91499 | − | 1.10562i | ||||
\(49\) | −0.817544 | + | 1.41603i | −0.116792 | + | 0.202290i | ||||
\(50\) | 2.83976 | + | 12.4079i | 0.401603 | + | 1.75474i | ||||
\(51\) | −2.63509 | −0.368986 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 0.642285i | − | 0.0882246i | −0.999027 | − | 0.0441123i | \(-0.985954\pi\) | ||
0.999027 | − | 0.0441123i | \(-0.0140459\pi\) | |||||||
\(54\) | −6.47855 | − | 3.74039i | −0.881619 | − | 0.509003i | ||||
\(55\) | −1.40430 | − | 0.211239i | −0.189356 | − | 0.0284834i | ||||
\(56\) | 9.27912 | + | 16.0719i | 1.23997 | + | 2.14770i | ||||
\(57\) | 2.93855 | 0.389221 | ||||||||
\(58\) | 3.81861 | + | 6.61402i | 0.501408 | + | 0.868464i | ||||
\(59\) | 6.57890 | − | 3.79833i | 0.856500 | − | 0.494501i | −0.00633858 | − | 0.999980i | \(-0.502018\pi\) |
0.862839 | + | 0.505479i | \(0.168684\pi\) | |||||||
\(60\) | 7.88669 | + | 20.0774i | 1.01817 | + | 2.59199i | ||||
\(61\) | 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 | ||||
\(63\) | −2.40240 | + | 4.16107i | −0.302674 | + | 0.524246i | ||||
\(64\) | −0.270178 | −0.0337722 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −3.48079 | −0.428455 | ||||||||
\(67\) | 4.01502 | − | 6.95421i | 0.490512 | − | 0.849592i | −0.509428 | − | 0.860513i | \(-0.670143\pi\) |
0.999940 | + | 0.0109212i | \(0.00347639\pi\) | |||||||
\(68\) | −4.74954 | − | 2.74215i | −0.575966 | − | 0.332534i | ||||
\(69\) | 2.31754 | + | 4.01410i | 0.279000 | + | 0.483241i | ||||
\(70\) | −15.5694 | + | 6.11588i | −1.86090 | + | 0.730987i | ||||
\(71\) | 2.28205 | − | 1.31754i | 0.270830 | − | 0.156364i | −0.358435 | − | 0.933555i | \(-0.616689\pi\) |
0.629265 | + | 0.777191i | \(0.283356\pi\) | |||||||
\(72\) | 5.16315 | + | 8.94284i | 0.608483 | + | 1.05392i | ||||
\(73\) | 10.3263 | 1.20860 | 0.604301 | − | 0.796756i | \(-0.293453\pi\) | ||||
0.604301 | + | 0.796756i | \(0.293453\pi\) | |||||||
\(74\) | −1.55794 | − | 2.69843i | −0.181107 | − | 0.313686i | ||||
\(75\) | −10.4933 | + | 2.40158i | −1.21166 | + | 0.277310i | ||||
\(76\) | 5.29650 | + | 3.05794i | 0.607551 | + | 0.350770i | ||||
\(77\) | − | 1.86624i | − | 0.212678i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.03843 | −0.116832 | −0.0584161 | − | 0.998292i | \(-0.518605\pi\) | ||||
−0.0584161 | + | 0.998292i | \(0.518605\pi\) | |||||||
\(80\) | −2.36683 | + | 15.7346i | −0.264620 | + | 1.75918i | ||||
\(81\) | 5.61588 | − | 9.72698i | 0.623986 | − | 1.08078i | ||||
\(82\) | −21.9620 | + | 12.6798i | −2.42530 | + | 1.40025i | ||||
\(83\) | 11.8452 | 1.30018 | 0.650092 | − | 0.759855i | \(-0.274730\pi\) | ||||
0.650092 | + | 0.759855i | \(0.274730\pi\) | |||||||
\(84\) | −24.5498 | + | 14.1738i | −2.67860 | + | 1.54649i | ||||
\(85\) | 1.70576 | − | 2.14026i | 0.185016 | − | 0.232144i | ||||
\(86\) | − | 3.48079i | − | 0.375343i | ||||||
\(87\) | −5.59346 | + | 3.22939i | −0.599682 | + | 0.346227i | ||||
\(88\) | −3.47351 | − | 2.00543i | −0.370277 | − | 0.213780i | ||||
\(89\) | 10.8758 | + | 6.27912i | 1.15283 | + | 0.665585i | 0.949575 | − | 0.313541i | \(-0.101515\pi\) |
0.203253 | + | 0.979126i | \(0.434849\pi\) | |||||||
\(90\) | −8.66324 | + | 3.40304i | −0.913186 | + | 0.358712i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 9.64680i | 1.00575i | ||||||||
\(93\) | −9.64680 | + | 16.7087i | −1.00033 | + | 1.73262i | ||||
\(94\) | 7.84570 | − | 13.5891i | 0.809222 | − | 1.40161i | ||||
\(95\) | −1.90220 | + | 2.38674i | −0.195162 | + | 0.244874i | ||||
\(96\) | 11.8073i | 1.20507i | ||||||||
\(97\) | −7.39190 | − | 12.8031i | −0.750534 | − | 1.29996i | −0.947564 | − | 0.319565i | \(-0.896463\pi\) |
0.197031 | − | 0.980397i | \(-0.436870\pi\) | |||||||
\(98\) | −2.08125 | − | 3.60484i | −0.210238 | − | 0.364144i | ||||
\(99\) | − | 1.03843i | − | 0.104366i | ||||||
\(100\) | −21.4125 | − | 6.59098i | −2.14125 | − | 0.659098i | ||||
\(101\) | 6.61588 | − | 11.4590i | 0.658304 | − | 1.14022i | −0.322750 | − | 0.946484i | \(-0.604607\pi\) |
0.981054 | − | 0.193732i | \(-0.0620593\pi\) | |||||||
\(102\) | 3.35412 | − | 5.80951i | 0.332108 | − | 0.575228i | ||||
\(103\) | 10.9686i | 1.08077i | 0.841419 | + | 0.540383i | \(0.181721\pi\) | ||||
−0.841419 | + | 0.540383i | \(0.818279\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −5.17218 | − | 13.1670i | −0.504753 | − | 1.28497i | ||||
\(106\) | 1.41603 | + | 0.817544i | 0.137537 | + | 0.0794069i | ||||
\(107\) | 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 | ||||
\(109\) | 3.27018i | 0.313226i | 0.987660 | + | 0.156613i | \(0.0500576\pi\) | ||||
−0.987660 | + | 0.156613i | \(0.949942\pi\) | |||||||
\(110\) | 2.25321 | − | 2.82715i | 0.214835 | − | 0.269558i | ||||
\(111\) | 2.28205 | − | 1.31754i | 0.216603 | − | 0.125056i | ||||
\(112\) | −20.9104 | −1.97584 | ||||||||
\(113\) | 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 | ||||
\(115\) | −4.76053 | − | 0.716091i | −0.443922 | − | 0.0667759i | ||||
\(116\) | −13.4424 | −1.24809 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 19.3391i | 1.78031i | ||||||||
\(119\) | 3.11480 | + | 1.79833i | 0.285533 | + | 0.164853i | ||||
\(120\) | −30.0648 | − | 4.52243i | −2.74453 | − | 0.412839i | ||||
\(121\) | −5.29833 | − | 9.17698i | −0.481666 | − | 0.834271i | ||||
\(122\) | −5.77928 | −0.523231 | ||||||||
\(123\) | −10.7233 | − | 18.5732i | −0.966884 | − | 1.67469i | ||||
\(124\) | −34.7752 | + | 20.0774i | −3.12290 | + | 1.80301i | ||||
\(125\) | 4.84201 | − | 10.0774i | 0.433082 | − | 0.901354i | ||||
\(126\) | −6.11588 | − | 10.5930i | −0.544845 | − | 0.943700i | ||||
\(127\) | −14.9231 | − | 8.61586i | −1.32421 | − | 0.764534i | −0.339813 | − | 0.940493i | \(-0.610364\pi\) |
−0.984397 | + | 0.175959i | \(0.943697\pi\) | |||||||
\(128\) | 5.82819 | − | 10.0947i | 0.515144 | − | 0.892256i | ||||
\(129\) | 2.94369 | 0.259178 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 10.0000 | 0.873704 | 0.436852 | − | 0.899533i | \(-0.356093\pi\) | ||||
0.436852 | + | 0.899533i | \(0.356093\pi\) | |||||||
\(132\) | 3.06329 | − | 5.30577i | 0.266625 | − | 0.461808i | ||||
\(133\) | −3.47351 | − | 2.00543i | −0.301191 | − | 0.173893i | ||||
\(134\) | 10.2212 | + | 17.7036i | 0.882975 | + | 1.52936i | ||||
\(135\) | 2.40240 | + | 6.11588i | 0.206765 | + | 0.526371i | ||||
\(136\) | 6.69422 | − | 3.86491i | 0.574025 | − | 0.331413i | ||||
\(137\) | 4.33616 | + | 7.51044i | 0.370463 | + | 0.641661i | 0.989637 | − | 0.143593i | \(-0.0458657\pi\) |
−0.619174 | + | 0.785254i | \(0.712532\pi\) | |||||||
\(138\) | −11.7997 | −1.00446 | ||||||||
\(139\) | 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 | ||||
\(141\) | 11.4923 | + | 6.63509i | 0.967827 | + | 0.558775i | ||||
\(142\) | 6.70825i | 0.562944i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −11.6351 | −0.969591 | ||||||||
\(145\) | 0.997839 | − | 6.63357i | 0.0828660 | − | 0.550888i | ||||
\(146\) | −13.1440 | + | 22.7661i | −1.08781 | + | 1.88414i | ||||
\(147\) | 3.04860 | − | 1.76011i | 0.251445 | − | 0.145172i | ||||
\(148\) | 5.48429 | 0.450806 | ||||||||
\(149\) | 14.8566 | − | 8.57745i | 1.21710 | − | 0.702692i | 0.252802 | − | 0.967518i | \(-0.418648\pi\) |
0.964296 | + | 0.264826i | \(0.0853145\pi\) | |||||||
\(150\) | 8.06192 | − | 26.1912i | 0.658253 | − | 2.13851i | ||||
\(151\) | 21.3828i | 1.74011i | 0.492957 | + | 0.870053i | \(0.335916\pi\) | ||||
−0.492957 | + | 0.870053i | \(0.664084\pi\) | |||||||
\(152\) | −7.46515 | + | 4.31000i | −0.605503 | + | 0.349587i | ||||
\(153\) | 1.73316 | + | 1.00064i | 0.140118 | + | 0.0808969i | ||||
\(154\) | 4.11446 | + | 2.37548i | 0.331552 | + | 0.191422i | ||||
\(155\) | −7.32648 | − | 18.6513i | −0.588477 | − | 1.49811i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 18.3646i | − | 1.46566i | −0.680413 | − | 0.732829i | \(-0.738200\pi\) | ||
0.680413 | − | 0.732829i | \(-0.261800\pi\) | |||||||
\(158\) | 1.32178 | − | 2.28939i | 0.105155 | − | 0.182134i | ||||
\(159\) | −0.691395 | + | 1.19753i | −0.0548312 | + | 0.0949705i | ||||
\(160\) | −9.59006 | − | 7.64317i | −0.758161 | − | 0.604245i | ||||
\(161\) | − | 6.32648i | − | 0.498597i | ||||||
\(162\) | 14.2966 | + | 24.7624i | 1.12324 | + | 1.94551i | ||||
\(163\) | −2.00543 | − | 3.47351i | −0.157078 | − | 0.272066i | 0.776736 | − | 0.629826i | \(-0.216874\pi\) |
−0.933814 | + | 0.357760i | \(0.883541\pi\) | |||||||
\(164\) | − | 44.6357i | − | 3.48546i | ||||||
\(165\) | 2.39092 | + | 1.90553i | 0.186133 | + | 0.148346i | ||||
\(166\) | −15.0774 | + | 26.1149i | −1.17024 | + | 2.02691i | ||||
\(167\) | −1.46928 | + | 2.54486i | −0.113696 | + | 0.196927i | −0.917258 | − | 0.398294i | \(-0.869602\pi\) |
0.803562 | + | 0.595221i | \(0.202936\pi\) | |||||||
\(168\) | − | 39.9545i | − | 3.08256i | ||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 2.54737 | + | 6.48493i | 0.195374 | + | 0.497371i | ||||
\(171\) | −1.93275 | − | 1.11588i | −0.147801 | − | 0.0853331i | ||||
\(172\) | 5.30577 | + | 3.06329i | 0.404561 | + | 0.233574i | ||||
\(173\) | 1.18412 | − | 0.683650i | 0.0900267 | − | 0.0519769i | −0.454311 | − | 0.890843i | \(-0.650114\pi\) |
0.544337 | + | 0.838866i | \(0.316781\pi\) | |||||||
\(174\) | − | 16.4424i | − | 1.24649i | ||||||
\(175\) | 14.0426 | + | 4.32244i | 1.06152 | + | 0.326746i | ||||
\(176\) | 3.91375 | − | 2.25961i | 0.295010 | − | 0.170324i | ||||
\(177\) | −16.3550 | −1.22932 | ||||||||
\(178\) | −27.6868 | + | 15.9850i | −2.07522 | + | 1.19813i | ||||
\(179\) | −3.89306 | + | 6.74299i | −0.290981 | + | 0.503994i | −0.974042 | − | 0.226367i | \(-0.927315\pi\) |
0.683061 | + | 0.730362i | \(0.260648\pi\) | |||||||
\(180\) | 2.43688 | − | 16.2003i | 0.181635 | − | 1.20750i | ||||
\(181\) | 3.86684 | 0.287420 | 0.143710 | − | 0.989620i | \(-0.454097\pi\) | ||||
0.143710 | + | 0.989620i | \(0.454097\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 4.88752i | − | 0.361296i | ||||||
\(184\) | −11.7751 | − | 6.79833i | −0.868069 | − | 0.501180i | ||||
\(185\) | −0.407104 | + | 2.70640i | −0.0299309 | + | 0.198979i | ||||
\(186\) | −24.5582 | − | 42.5361i | −1.80070 | − | 3.11890i | ||||
\(187\) | −0.777322 | −0.0568434 | ||||||||
\(188\) | 13.8093 | + | 23.9184i | 1.00715 | + | 1.74443i | ||||
\(189\) | −7.47821 | + | 4.31754i | −0.543959 | + | 0.314055i | ||||
\(190\) | −2.84073 | − | 7.23175i | −0.206088 | − | 0.524646i | ||||
\(191\) | −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 | ||||
\(193\) | 2.47822 | − | 4.29240i | 0.178386 | − | 0.308974i | −0.762942 | − | 0.646467i | \(-0.776246\pi\) |
0.941328 | + | 0.337493i | \(0.109579\pi\) | |||||||
\(194\) | 37.6357 | 2.70208 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.32648 | 0.523320 | ||||||||
\(197\) | 3.37273 | − | 5.84174i | 0.240297 | − | 0.416207i | −0.720502 | − | 0.693453i | \(-0.756088\pi\) |
0.960799 | + | 0.277246i | \(0.0894218\pi\) | |||||||
\(198\) | 2.28939 | + | 1.32178i | 0.162700 | + | 0.0939349i | ||||
\(199\) | −2.58772 | − | 4.48207i | −0.183439 | − | 0.317725i | 0.759611 | − | 0.650378i | \(-0.225390\pi\) |
−0.943049 | + | 0.332653i | \(0.892056\pi\) | |||||||
\(200\) | 23.1350 | − | 21.4917i | 1.63589 | − | 1.51969i | ||||
\(201\) | −14.9719 | + | 8.64403i | −1.05604 | + | 0.609703i | ||||
\(202\) | 16.8423 | + | 29.1717i | 1.18502 | + | 2.05251i | ||||
\(203\) | 8.81566 | 0.618738 | ||||||||
\(204\) | 5.90364 | + | 10.2254i | 0.413337 | + | 0.715921i | ||||
\(205\) | 22.0269 | + | 3.31335i | 1.53843 | + | 0.231414i | ||||
\(206\) | −24.1822 | − | 13.9616i | −1.68485 | − | 0.972749i | ||||
\(207\) | − | 3.52022i | − | 0.244673i | ||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.866840 | 0.0599606 | ||||||||
\(210\) | 35.6125 | + | 5.35693i | 2.45750 | + | 0.369663i | ||||
\(211\) | 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 | ||||
\(213\) | −5.67315 | −0.388718 | ||||||||
\(214\) | −23.5318 | + | 13.5861i | −1.60860 | + | 0.928726i | ||||
\(215\) | −1.90553 | + | 2.39092i | −0.129956 | + | 0.163059i | ||||
\(216\) | 18.5582i | 1.26273i | ||||||||
\(217\) | 22.8060 | − | 13.1670i | 1.54817 | − | 0.893836i | ||||
\(218\) | −7.20968 | − | 4.16251i | −0.488301 | − | 0.281921i | ||||
\(219\) | −19.2533 | − | 11.1159i | −1.30101 | − | 0.751141i | ||||
\(220\) | 2.32648 | + | 5.92262i | 0.156852 | + | 0.399303i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 6.70825i | 0.450228i | ||||||||
\(223\) | 0.00415245 | − | 0.00719226i | 0.000278069 | − | 0.000481629i | −0.865886 | − | 0.500241i | \(-0.833245\pi\) |
0.866164 | + | 0.499759i | \(0.166578\pi\) | |||||||
\(224\) | 8.05794 | − | 13.9568i | 0.538394 | − | 0.932525i | ||||
\(225\) | 7.81366 | + | 2.40512i | 0.520911 | + | 0.160341i | ||||
\(226\) | 14.0774i | 0.936418i | ||||||||
\(227\) | 5.63179 | + | 9.75454i | 0.373795 | + | 0.647431i | 0.990146 | − | 0.140040i | \(-0.0447231\pi\) |
−0.616351 | + | 0.787471i | \(0.711390\pi\) | |||||||
\(228\) | −6.58351 | − | 11.4030i | −0.436004 | − | 0.755181i | ||||
\(229\) | − | 16.5404i | − | 1.09302i | −0.837453 | − | 0.546509i | \(-0.815957\pi\) | ||
0.837453 | − | 0.546509i | \(-0.184043\pi\) | |||||||
\(230\) | 7.63828 | − | 9.58393i | 0.503653 | − | 0.631946i | ||||
\(231\) | −2.00894 | + | 3.47959i | −0.132179 | + | 0.228940i | ||||
\(232\) | 9.47315 | − | 16.4080i | 0.621943 | − | 1.07724i | ||||
\(233\) | 6.94941i | 0.455271i | 0.973746 | + | 0.227636i | \(0.0730995\pi\) | ||||
−0.973746 | + | 0.227636i | \(0.926900\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −12.8284 | + | 5.03917i | −0.836833 | + | 0.328719i | ||||
\(236\) | −29.4787 | − | 17.0195i | −1.91890 | − | 1.10788i | ||||
\(237\) | 1.93613 | + | 1.11783i | 0.125765 | + | 0.0726107i | ||||
\(238\) | −7.92947 | + | 4.57808i | −0.513991 | + | 0.296753i | ||||
\(239\) | − | 4.00000i | − | 0.258738i | −0.991596 | − | 0.129369i | \(-0.958705\pi\) | ||
0.991596 | − | 0.129369i | \(-0.0412952\pi\) | |||||||
\(240\) | 21.3506 | − | 26.7891i | 1.37818 | − | 1.72923i | ||||
\(241\) | −17.1231 | + | 9.88605i | −1.10300 | + | 0.636817i | −0.937007 | − | 0.349310i | \(-0.886416\pi\) |
−0.165992 | + | 0.986127i | \(0.553083\pi\) | |||||||
\(242\) | 26.9763 | 1.73410 | ||||||||
\(243\) | −13.3069 | + | 7.68273i | −0.853637 | + | 0.492848i | ||||
\(244\) | 5.08609 | − | 8.80937i | 0.325604 | − | 0.563962i | ||||
\(245\) | −0.543852 | + | 3.61549i | −0.0347454 | + | 0.230985i | ||||
\(246\) | 54.5973 | 3.48099 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | − | 56.5962i | − | 3.59386i | ||||||
\(249\) | −22.0853 | − | 12.7510i | −1.39960 | − | 0.808060i | ||||
\(250\) | 16.0543 | + | 23.5023i | 1.01536 | + | 1.48642i | ||||
\(251\) | 1.83676 | + | 3.18136i | 0.115935 | + | 0.200806i | 0.918153 | − | 0.396226i | \(-0.129680\pi\) |
−0.802218 | + | 0.597031i | \(0.796347\pi\) | |||||||
\(252\) | 21.5293 | 1.35622 | ||||||||
\(253\) | 0.683650 | + | 1.18412i | 0.0429807 | + | 0.0744447i | ||||
\(254\) | 37.9903 | − | 21.9337i | 2.38372 | − | 1.37624i | ||||
\(255\) | −5.48429 | + | 2.15430i | −0.343440 | + | 0.134908i | ||||
\(256\) | 14.5669 | + | 25.2306i | 0.910430 | + | 1.57691i | ||||
\(257\) | −11.4877 | − | 6.63242i | −0.716583 | − | 0.413719i | 0.0969108 | − | 0.995293i | \(-0.469104\pi\) |
−0.813494 | + | 0.581574i | \(0.802437\pi\) | |||||||
\(258\) | −3.74694 | + | 6.48989i | −0.233274 | + | 0.404043i | ||||
\(259\) | −3.59666 | −0.223486 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 4.90527 | 0.303628 | ||||||||
\(262\) | −12.7287 | + | 22.0467i | −0.786381 | + | 1.36205i | ||||
\(263\) | −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 | ||||
\(265\) | −0.525096 | − | 1.33676i | −0.0322564 | − | 0.0821164i | ||||
\(266\) | 8.84265 | − | 5.10530i | 0.542177 | − | 0.313026i | ||||
\(267\) | −13.5185 | − | 23.4147i | −0.827317 | − | 1.43296i | ||||
\(268\) | −35.9809 | −2.19788 | ||||||||
\(269\) | −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 | ||||
\(271\) | −10.2437 | − | 5.91421i | −0.622261 | − | 0.359262i | 0.155488 | − | 0.987838i | \(-0.450305\pi\) |
−0.777749 | + | 0.628575i | \(0.783638\pi\) | |||||||
\(272\) | 8.70953i | 0.528093i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −22.0774 | −1.33375 | ||||||||
\(275\) | −3.09541 | + | 0.708438i | −0.186660 | + | 0.0427204i | ||||
\(276\) | 10.3844 | − | 17.9863i | 0.625069 | − | 1.08265i | ||||
\(277\) | 14.5363 | − | 8.39254i | 0.873402 | − | 0.504259i | 0.00492452 | − | 0.999988i | \(-0.498432\pi\) |
0.868477 | + | 0.495729i | \(0.165099\pi\) | |||||||
\(278\) | −36.4715 | −2.18741 | ||||||||
\(279\) | 12.6898 | − | 7.32648i | 0.759721 | − | 0.438625i | ||||
\(280\) | 32.4517 | + | 25.8636i | 1.93936 | + | 1.54565i | ||||
\(281\) | 10.5967i | 0.632144i | 0.948735 | + | 0.316072i | \(0.102364\pi\) | ||||
−0.948735 | + | 0.316072i | \(0.897636\pi\) | |||||||
\(282\) | −29.2564 | + | 16.8912i | −1.74219 | + | 1.00586i | ||||
\(283\) | −7.63458 | − | 4.40783i | −0.453829 | − | 0.262018i | 0.255617 | − | 0.966778i | \(-0.417721\pi\) |
−0.709446 | + | 0.704760i | \(0.751055\pi\) | |||||||
\(284\) | −10.2254 | − | 5.90364i | −0.606766 | − | 0.350316i | ||||
\(285\) | 6.11588 | − | 2.40240i | 0.362273 | − | 0.142306i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 29.2726i | 1.72791i | ||||||||
\(288\) | 4.48365 | − | 7.76591i | 0.264202 | − | 0.457611i | ||||
\(289\) | −7.75096 | + | 13.4251i | −0.455939 | + | 0.789710i | ||||
\(290\) | 13.3548 | + | 10.6436i | 0.784218 | + | 0.625013i | ||||
\(291\) | 31.8284i | 1.86581i | ||||||||
\(292\) | −23.1350 | − | 40.0709i | −1.35387 | − | 2.34497i | ||||
\(293\) | 14.1263 | + | 24.4675i | 0.825267 | + | 1.42940i | 0.901715 | + | 0.432331i | \(0.142309\pi\) |
−0.0764476 | + | 0.997074i | \(0.524358\pi\) | |||||||
\(294\) | 8.96157i | 0.522650i | ||||||||
\(295\) | 10.5871 | − | 13.2838i | 0.616403 | − | 0.773415i | ||||
\(296\) | −3.86491 | + | 6.69422i | −0.224643 | + | 0.389094i | ||||
\(297\) | 0.933121 | − | 1.61621i | 0.0541452 | − | 0.0937822i | ||||
\(298\) | 43.6719i | 2.52984i | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 32.8284 | + | 35.3386i | 1.89535 | + | 2.04027i | ||||
\(301\) | −3.47959 | − | 2.00894i | −0.200560 | − | 0.115793i | ||||
\(302\) | −47.1421 | − | 27.2175i | −2.71272 | − | 1.56619i | ||||
\(303\) | −24.6704 | + | 14.2435i | −1.41728 | + | 0.818267i | ||||
\(304\) | − | 9.71254i | − | 0.557052i | ||||||
\(305\) | 3.96973 | + | 3.16383i | 0.227306 | + | 0.181160i | ||||
\(306\) | −4.41217 | + | 2.54737i | −0.252227 | + | 0.145623i | ||||
\(307\) | −12.7219 | −0.726077 | −0.363039 | − | 0.931774i | \(-0.618261\pi\) | ||||
−0.363039 | + | 0.931774i | \(0.618261\pi\) | |||||||
\(308\) | −7.24190 | + | 4.18112i | −0.412646 | + | 0.238241i | ||||
\(309\) | 11.8073 | − | 20.4508i | 0.671692 | − | 1.16340i | ||||
\(310\) | 50.4457 | + | 7.58818i | 2.86513 | + | 0.430980i | ||||
\(311\) | −27.9231 | −1.58338 | −0.791688 | − | 0.610925i | \(-0.790798\pi\) | ||||
−0.791688 | + | 0.610925i | \(0.790798\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 24.5807i | 1.38938i | 0.719307 | + | 0.694692i | \(0.244460\pi\) | ||||
−0.719307 | + | 0.694692i | \(0.755540\pi\) | |||||||
\(314\) | 40.4880 | + | 23.3758i | 2.28487 | + | 1.31917i | ||||
\(315\) | −1.59814 | + | 10.6243i | −0.0900448 | + | 0.598613i | ||||
\(316\) | 2.32648 | + | 4.02959i | 0.130875 | + | 0.226682i | ||||
\(317\) | −0.234377 | −0.0131639 | −0.00658196 | − | 0.999978i | \(-0.502095\pi\) | ||||
−0.00658196 | + | 0.999978i | \(0.502095\pi\) | |||||||
\(318\) | −1.76011 | − | 3.04860i | −0.0987022 | − | 0.170957i | ||||
\(319\) | −1.65001 | + | 0.952633i | −0.0923828 | + | 0.0533372i | ||||
\(320\) | −0.562309 | + | 0.220882i | −0.0314340 | + | 0.0123477i | ||||
\(321\) | −11.4897 | − | 19.9008i | −0.641294 | − | 1.11075i | ||||
\(322\) | 13.9478 | + | 8.05279i | 0.777283 | + | 0.448764i | ||||
\(323\) | −0.835296 | + | 1.44678i | −0.0464771 | + | 0.0805008i | ||||
\(324\) | −50.3271 | −2.79595 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 10.2106 | 0.565513 | ||||||||
\(327\) | 3.52022 | − | 6.09721i | 0.194669 | − | 0.337176i | ||||
\(328\) | 54.4831 | + | 31.4558i | 3.00833 | + | 1.73686i | ||||
\(329\) | −9.05631 | − | 15.6860i | −0.499290 | − | 0.864796i | ||||
\(330\) | −7.24440 | + | 2.84570i | −0.398791 | + | 0.156651i | ||||
\(331\) | −15.8712 | + | 9.16324i | −0.872360 | + | 0.503657i | −0.868132 | − | 0.496334i | \(-0.834679\pi\) |
−0.00422829 | + | 0.999991i | \(0.501346\pi\) | |||||||
\(332\) | −26.5380 | − | 45.9652i | −1.45646 | − | 2.52267i | ||||
\(333\) | −2.00128 | −0.109669 | ||||||||
\(334\) | −3.74039 | − | 6.47855i | −0.204665 | − | 0.354491i | ||||
\(335\) | 2.67089 | − | 17.7559i | 0.145926 | − | 0.970110i | ||||
\(336\) | 38.9871 | + | 22.5092i | 2.12692 | + | 1.22798i | ||||
\(337\) | − | 21.2949i | − | 1.16001i | −0.814614 | − | 0.580003i | \(-0.803051\pi\) | ||
0.814614 | − | 0.580003i | \(-0.196949\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −11.9053 | −0.646605 | ||||||||
\(340\) | −12.1268 | − | 1.82415i | −0.657669 | − | 0.0989283i | ||||
\(341\) | −2.84570 | + | 4.92889i | −0.154103 | + | 0.266915i | ||||
\(342\) | 4.92028 | − | 2.84073i | 0.266059 | − | 0.153609i | ||||
\(343\) | 15.7651 | 0.851234 | ||||||||
\(344\) | −7.47821 | + | 4.31754i | −0.403198 | + | 0.232786i | ||||
\(345\) | 8.10511 | + | 6.45968i | 0.436364 | + | 0.347777i | ||||
\(346\) | 3.48079i | 0.187128i | ||||||||
\(347\) | 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 | ||||
\(349\) | −21.0674 | − | 12.1632i | −1.12771 | − | 0.651083i | −0.184352 | − | 0.982860i | \(-0.559019\pi\) |
−0.943358 | + | 0.331777i | \(0.892352\pi\) | |||||||
\(350\) | −27.4039 | + | 25.4574i | −1.46480 | + | 1.36075i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 3.48301i | 0.185645i | ||||||||
\(353\) | −13.5295 | + | 23.4338i | −0.720104 | + | 1.24726i | 0.240853 | + | 0.970562i | \(0.422573\pi\) |
−0.960958 | + | 0.276696i | \(0.910761\pi\) | |||||||
\(354\) | 20.8178 | − | 36.0576i | 1.10646 | − | 1.91644i | ||||
\(355\) | 3.67238 | − | 4.60783i | 0.194910 | − | 0.244558i | ||||
\(356\) | − | 56.2708i | − | 2.98235i | ||||||
\(357\) | −3.87167 | − | 6.70593i | −0.204911 | − | 0.354916i | ||||
\(358\) | −9.91073 | − | 17.1659i | −0.523798 | − | 0.907245i | ||||
\(359\) | 27.0039i | 1.42521i | 0.701566 | + | 0.712605i | \(0.252485\pi\) | ||||
−0.701566 | + | 0.712605i | \(0.747515\pi\) | |||||||
\(360\) | 18.0570 | + | 14.3912i | 0.951687 | + | 0.758484i | ||||
\(361\) | −8.56851 | + | 14.8411i | −0.450974 | + | 0.781110i | ||||
\(362\) | −4.92198 | + | 8.52512i | −0.258694 | + | 0.448071i | ||||
\(363\) | 22.8138i | 1.19742i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 21.4917 | − | 8.44221i | 1.12492 | − | 0.441885i | ||||
\(366\) | 10.7754 | + | 6.22118i | 0.563239 | + | 0.325186i | ||||
\(367\) | −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 | ||||
\(369\) | 16.2881i | 0.847922i | ||||||||
\(370\) | −5.44855 | − | 4.34243i | −0.283257 | − | 0.225752i | ||||
\(371\) | 1.63452 | − | 0.943693i | 0.0848603 | − | 0.0489941i | ||||
\(372\) | 86.4505 | 4.48225 | ||||||||
\(373\) | 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 | ||||
\(375\) | −19.8759 | + | 13.5770i | −1.02639 | + | 0.701116i | ||||
\(376\) | −38.9270 | −2.00751 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | − | 21.9827i | − | 1.13067i | ||||||
\(379\) | 4.48207 | + | 2.58772i | 0.230228 | + | 0.132922i | 0.610677 | − | 0.791880i | \(-0.290897\pi\) |
−0.380449 | + | 0.924802i | \(0.624231\pi\) | |||||||
\(380\) | 13.5234 | + | 2.03422i | 0.693734 | + | 0.104353i | ||||
\(381\) | 18.5493 | + | 32.1283i | 0.950309 | + | 1.64598i | ||||
\(382\) | 12.5854 | 0.643923 | ||||||||
\(383\) | −10.3305 | − | 17.8929i | −0.527861 | − | 0.914283i | −0.999473 | − | 0.0324760i | \(-0.989661\pi\) |
0.471611 | − | 0.881807i | \(-0.343673\pi\) | |||||||
\(384\) | −21.7332 | + | 12.5477i | −1.10907 | + | 0.640320i | ||||
\(385\) | −1.52574 | − | 3.88412i | −0.0777587 | − | 0.197953i | ||||
\(386\) | 6.30890 | + | 10.9273i | 0.321115 | + | 0.556187i | ||||
\(387\) | −1.93613 | − | 1.11783i | −0.0984193 | − | 0.0568224i | ||||
\(388\) | −33.1215 | + | 57.3682i | −1.68149 | + | 2.91243i | ||||
\(389\) | 19.7477 | 1.00125 | 0.500624 | − | 0.865665i | \(-0.333104\pi\) | ||||
0.500624 | + | 0.865665i | \(0.333104\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.63509 | −0.133262 | ||||||||
\(392\) | −5.16315 | + | 8.94284i | −0.260778 | + | 0.451681i | ||||
\(393\) | −18.6449 | − | 10.7646i | −0.940510 | − | 0.543004i | ||||
\(394\) | 8.58609 | + | 14.8715i | 0.432561 | + | 0.749218i | ||||
\(395\) | −2.16123 | + | 0.848960i | −0.108743 | + | 0.0427158i | ||||
\(396\) | −4.02959 | + | 2.32648i | −0.202494 | + | 0.116910i | ||||
\(397\) | −4.69451 | − | 8.13113i | −0.235611 | − | 0.408090i | 0.723839 | − | 0.689969i | \(-0.242376\pi\) |
−0.959450 | + | 0.281879i | \(0.909042\pi\) | |||||||
\(398\) | 13.1753 | 0.660420 | ||||||||
\(399\) | 4.31754 | + | 7.47821i | 0.216148 | + | 0.374379i | ||||
\(400\) | 7.93772 | + | 34.6826i | 0.396886 | + | 1.73413i | ||||
\(401\) | 21.2193 | + | 12.2510i | 1.05964 | + | 0.611784i | 0.925333 | − | 0.379156i | \(-0.123786\pi\) |
0.134308 | + | 0.990940i | \(0.457119\pi\) | |||||||
\(402\) | − | 44.0109i | − | 2.19506i | ||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −59.2887 | −2.94972 | ||||||||
\(405\) | 3.73583 | − | 24.8356i | 0.185635 | − | 1.23409i | ||||
\(406\) | −11.2212 | + | 19.4357i | −0.556898 | + | 0.964575i | ||||
\(407\) | 0.673180 | − | 0.388661i | 0.0333683 | − | 0.0192652i | ||||
\(408\) | −16.6417 | −0.823889 | ||||||||
\(409\) | −31.2778 | + | 18.0582i | −1.54659 | + | 0.892922i | −0.548188 | + | 0.836355i | \(0.684682\pi\) |
−0.998399 | + | 0.0565671i | \(0.981985\pi\) | |||||||
\(410\) | −35.3423 | + | 44.3448i | −1.74543 | + | 2.19003i | ||||
\(411\) | − | 18.6708i | − | 0.920965i | ||||||
\(412\) | 42.5633 | − | 24.5739i | 2.09694 | − | 1.21067i | ||||
\(413\) | 19.3324 | + | 11.1616i | 0.951288 | + | 0.549226i | ||||
\(414\) | 7.76095 | + | 4.48079i | 0.381430 | + | 0.220219i | ||||
\(415\) | 24.6530 | − | 9.68401i | 1.21017 | − | 0.475370i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | − | 30.8439i | − | 1.51043i | ||||||
\(418\) | −1.10337 | + | 1.91110i | −0.0539678 | + | 0.0934749i | ||||
\(419\) | −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 | ||||
\(421\) | 33.9795i | 1.65606i | 0.560686 | + | 0.828029i | \(0.310538\pi\) | ||||
−0.560686 | + | 0.828029i | \(0.689462\pi\) | |||||||
\(422\) | 17.8429 | + | 30.9049i | 0.868580 | + | 1.50443i | ||||
\(423\) | −5.03917 | − | 8.72810i | −0.245013 | − | 0.424375i | ||||
\(424\) | − | 4.05631i | − | 0.196992i | ||||||
\(425\) | 1.80037 | − | 5.84897i | 0.0873308 | − | 0.283717i | ||||
\(426\) | 7.22118 | − | 12.5075i | 0.349867 | − | 0.605988i | ||||
\(427\) | −3.33552 | + | 5.77729i | −0.161417 | + | 0.279582i | ||||
\(428\) | − | 47.8261i | − | 2.31176i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.84570 | − | 7.24440i | −0.137232 | − | 0.349356i | ||||
\(431\) | 14.0726 | + | 8.12482i | 0.677853 | + | 0.391359i | 0.799046 | − | 0.601270i | \(-0.205339\pi\) |
−0.121193 | + | 0.992629i | \(0.538672\pi\) | |||||||
\(432\) | −18.1089 | − | 10.4552i | −0.871265 | − | 0.503025i | ||||
\(433\) | −0.221929 | + | 0.128130i | −0.0106652 | + | 0.00615756i | −0.505323 | − | 0.862930i | \(-0.668627\pi\) |
0.494658 | + | 0.869088i | \(0.335293\pi\) | |||||||
\(434\) | 67.0396i | 3.21800i | ||||||||
\(435\) | −9.00126 | + | 11.2941i | −0.431577 | + | 0.541510i | ||||
\(436\) | 12.6898 | − | 7.32648i | 0.607733 | − | 0.350875i | ||||
\(437\) | 2.93855 | 0.140570 | ||||||||
\(438\) | 49.0138 | − | 28.2981i | 2.34197 | − | 1.35214i | ||||
\(439\) | 3.79833 | − | 6.57890i | 0.181284 | − | 0.313994i | −0.761034 | − | 0.648712i | \(-0.775308\pi\) |
0.942318 | + | 0.334718i | \(0.108641\pi\) | |||||||
\(440\) | −8.86879 | − | 1.33407i | −0.422803 | − | 0.0635991i | ||||
\(441\) | −2.67352 | −0.127310 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 4.32246i | 0.205366i | 0.994714 | + | 0.102683i | \(0.0327428\pi\) | ||||
−0.994714 | + | 0.102683i | \(0.967257\pi\) | |||||||
\(444\) | −10.2254 | − | 5.90364i | −0.485276 | − | 0.280174i | ||||
\(445\) | 27.7687 | + | 4.17703i | 1.31636 | + | 0.198010i | ||||
\(446\) | 0.0105711 | + | 0.0183096i | 0.000500554 | + | 0.000866986i | ||||
\(447\) | −36.9332 | −1.74688 | ||||||||
\(448\) | −0.396966 | − | 0.687565i | −0.0187549 | − | 0.0324844i | ||||
\(449\) | 2.84754 | − | 1.64403i | 0.134384 | − | 0.0775865i | −0.431301 | − | 0.902208i | \(-0.641945\pi\) |
0.565685 | + | 0.824622i | \(0.308612\pi\) | |||||||
\(450\) | −15.2483 | + | 14.1652i | −0.718811 | + | 0.667753i | ||||
\(451\) | −3.16324 | − | 5.47890i | −0.148951 | − | 0.257991i | ||||
\(452\) | −21.4583 | − | 12.3889i | −1.00931 | − | 0.582727i | ||||
\(453\) | 23.0178 | − | 39.8680i | 1.08147 | − | 1.87316i | ||||
\(454\) | −28.6741 | −1.34574 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 18.5582 | 0.869069 | ||||||||
\(457\) | 7.71304 | − | 13.3594i | 0.360801 | − | 0.624925i | −0.627292 | − | 0.778784i | \(-0.715837\pi\) |
0.988093 | + | 0.153859i | \(0.0491701\pi\) | |||||||
\(458\) | 36.4661 | + | 21.0537i | 1.70395 | + | 0.983775i | ||||
\(459\) | 1.79833 | + | 3.11480i | 0.0839389 | + | 0.145386i | ||||
\(460\) | 7.88669 | + | 20.0774i | 0.367719 | + | 0.936116i | ||||
\(461\) | 22.4168 | − | 12.9424i | 1.04406 | − | 0.602786i | 0.123076 | − | 0.992397i | \(-0.460724\pi\) |
0.920979 | + | 0.389611i | \(0.127391\pi\) | |||||||
\(462\) | −5.11424 | − | 8.85812i | −0.237936 | − | 0.412117i | ||||
\(463\) | 7.04045 | 0.327197 | 0.163599 | − | 0.986527i | \(-0.447690\pi\) | ||||
0.163599 | + | 0.986527i | \(0.447690\pi\) | |||||||
\(464\) | 10.6738 | + | 18.4876i | 0.495519 | + | 0.858265i | ||||
\(465\) | −6.41730 | + | 42.6618i | −0.297595 | + | 1.97840i | ||||
\(466\) | −15.3212 | − | 8.84570i | −0.709741 | − | 0.409769i | ||||
\(467\) | 18.8113i | 0.870482i | 0.900314 | + | 0.435241i | \(0.143337\pi\) | ||||
−0.900314 | + | 0.435241i | \(0.856663\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 23.5967 | 1.08959 | ||||||||
\(470\) | 5.21916 | − | 34.6967i | 0.240742 | − | 1.60044i | ||||
\(471\) | −19.7688 | + | 34.2406i | −0.910900 | + | 1.57773i | ||||
\(472\) | 41.5486 | − | 23.9881i | 1.91243 | − | 1.10414i | ||||
\(473\) | 0.868356 | 0.0399271 | ||||||||
\(474\) | −4.92889 | + | 2.84570i | −0.226392 | + | 0.130707i | ||||
\(475\) | −2.00771 | + | 6.52255i | −0.0921199 | + | 0.299275i | ||||
\(476\) | − | 16.1159i | − | 0.738670i | ||||||
\(477\) | 0.909493 | − | 0.525096i | 0.0416428 | − | 0.0240425i | ||||
\(478\) | 8.81870 | + | 5.09148i | 0.403358 | + | 0.232879i | ||||
\(479\) | 16.8680 | + | 9.73876i | 0.770720 | + | 0.444975i | 0.833131 | − | 0.553075i | \(-0.186546\pi\) |
−0.0624114 | + | 0.998051i | \(0.519879\pi\) | |||||||
\(480\) | 9.65297 | + | 24.5739i | 0.440596 | + | 1.12164i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | − | 50.3346i | − | 2.29268i | ||||||
\(483\) | −6.81023 | + | 11.7957i | −0.309876 | + | 0.536721i | ||||
\(484\) | −23.7407 | + | 41.1201i | −1.07912 | + | 1.86909i | ||||
\(485\) | −25.8516 | − | 20.6034i | −1.17386 | − | 0.935552i | ||||
\(486\) | − | 39.1165i | − | 1.77436i | ||||||
\(487\) | 16.1620 | + | 27.9935i | 0.732372 | + | 1.26851i | 0.955867 | + | 0.293800i | \(0.0949200\pi\) |
−0.223495 | + | 0.974705i | \(0.571747\pi\) | |||||||
\(488\) | 7.16858 | + | 12.4163i | 0.324506 | + | 0.562062i | ||||
\(489\) | 8.63509i | 0.390492i | ||||||||
\(490\) | −7.27874 | − | 5.80107i | −0.328820 | − | 0.262066i | ||||
\(491\) | 14.3354 | − | 24.8297i | 0.646949 | − | 1.12055i | −0.336899 | − | 0.941541i | \(-0.609378\pi\) |
0.983848 | − | 0.179007i | \(-0.0572885\pi\) | |||||||
\(492\) | −48.0487 | + | 83.2227i | −2.16620 | + | 3.75197i | ||||
\(493\) | − | 3.67187i | − | 0.165373i | ||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.848960 | − | 2.16123i | −0.0381579 | − | 0.0971401i | ||||
\(496\) | 55.2260 | + | 31.8847i | 2.47972 | + | 1.43167i | ||||
\(497\) | 6.70593 | + | 3.87167i | 0.300802 | + | 0.173668i | ||||
\(498\) | 56.2235 | − | 32.4606i | 2.51943 | − | 1.45460i | ||||
\(499\) | − | 28.9616i | − | 1.29650i | −0.761428 | − | 0.648249i | \(-0.775502\pi\) | ||
0.761428 | − | 0.648249i | \(-0.224498\pi\) | |||||||
\(500\) | −49.9533 | + | 3.78816i | −2.23398 | + | 0.169412i | ||||
\(501\) | 5.47890 | − | 3.16324i | 0.244779 | − | 0.141323i | ||||
\(502\) | −9.35181 | −0.417392 | ||||||||
\(503\) | −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 | ||||
\(505\) | 4.40105 | − | 29.2579i | 0.195844 | − | 1.30196i | ||||
\(506\) | −3.48079 | −0.154740 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 77.2116i | 3.42571i | ||||||||
\(509\) | 18.2841 | + | 10.5563i | 0.810427 | + | 0.467900i | 0.847104 | − | 0.531427i | \(-0.178344\pi\) |
−0.0366773 | + | 0.999327i | \(0.511677\pi\) | |||||||
\(510\) | 2.23125 | − | 14.8332i | 0.0988015 | − | 0.656826i | ||||
\(511\) | 15.1722 | + | 26.2790i | 0.671178 | + | 1.16251i | ||||
\(512\) | −50.8542 | −2.24746 | ||||||||
\(513\) | −2.00543 | − | 3.47351i | −0.0885420 | − | 0.153359i | ||||
\(514\) | 29.2447 | − | 16.8844i | 1.28993 | − | 0.744740i | ||||
\(515\) | 8.96730 | + | 22.8284i | 0.395147 | + | 1.00594i | ||||
\(516\) | −6.59503 | − | 11.4229i | −0.290330 | − | 0.502866i | ||||
\(517\) | 3.39010 | + | 1.95728i | 0.149097 | + | 0.0860809i | ||||
\(518\) | 4.57808 | − | 7.92947i | 0.201149 | − | 0.348401i | ||||
\(519\) | −2.94369 | −0.129214 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0.673516 | 0.0295073 | 0.0147536 | − | 0.999891i | \(-0.495304\pi\) | ||||
0.0147536 | + | 0.999891i | \(0.495304\pi\) | |||||||
\(522\) | −6.24376 | + | 10.8145i | −0.273282 | + | 0.473339i | ||||
\(523\) | 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 | ||||
\(525\) | −21.5293 | − | 23.1754i | −0.939614 | − | 1.01146i | ||||
\(526\) | 66.7366 | − | 38.5304i | 2.90985 | − | 1.68000i | ||||
\(527\) | −5.48429 | − | 9.49907i | −0.238899 | − | 0.413786i | ||||
\(528\) | −9.72953 | −0.423423 | ||||||||
\(529\) | −9.18246 | − | 15.9045i | −0.399237 | − | 0.691499i | ||||
\(530\) | 3.61549 | + | 0.543852i | 0.157047 | + | 0.0236234i | ||||
\(531\) | 10.7571 | + | 6.21061i | 0.466818 | + | 0.269517i | ||||
\(532\) | 17.9718i | 0.779177i | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 68.8290 | 2.97852 | ||||||||
\(535\) | 23.6014 | + | 3.55018i | 1.02038 | + | 0.153488i | ||||
\(536\) | 25.3566 | − | 43.9189i | 1.09524 | − | 1.89701i | ||||
\(537\) | 14.5171 | − | 8.38148i | 0.626461 | − | 0.361687i | ||||
\(538\) | 56.6418 | 2.44200 | ||||||||
\(539\) | 0.899304 | − | 0.519213i | 0.0387358 | − | 0.0223641i | ||||
\(540\) | 18.3502 | − | 23.0244i | 0.789666 | − | 0.990813i | ||||
\(541\) | − | 6.28806i | − | 0.270345i | −0.990822 | − | 0.135172i | \(-0.956841\pi\) | ||
0.990822 | − | 0.135172i | \(-0.0431588\pi\) | |||||||
\(542\) | 26.0778 | − | 15.0560i | 1.12014 | − | 0.646712i | ||||
\(543\) | −7.20968 | − | 4.16251i | −0.309397 | − | 0.178630i | ||||
\(544\) | −5.81323 | − | 3.35627i | −0.249240 | − | 0.143899i | ||||
\(545\) | 2.67352 | + | 6.80607i | 0.114521 | + | 0.291540i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.03789i | 0.129891i | 0.997889 | + | 0.0649454i | \(0.0206873\pi\) | ||||
−0.997889 | + | 0.0649454i | \(0.979313\pi\) | |||||||
\(548\) | 19.4294 | − | 33.6527i | 0.829983 | − | 1.43757i | ||||
\(549\) | −1.85597 | + | 3.21464i | −0.0792109 | + | 0.137197i | ||||
\(550\) | 2.37818 | − | 7.72612i | 0.101406 | − | 0.329443i | ||||
\(551\) | 4.09473i | 0.174442i | ||||||||
\(552\) | 14.6363 | + | 25.3508i | 0.622962 | + | 1.07900i | ||||
\(553\) | −1.52574 | − | 2.64265i | −0.0648809 | − | 0.112377i | ||||
\(554\) | 42.7304i | 1.81544i | ||||||||
\(555\) | 3.67238 | − | 4.60783i | 0.155884 | − | 0.195591i | ||||
\(556\) | 32.0970 | − | 55.5936i | 1.36121 | − | 2.35769i | ||||
\(557\) | 10.3498 | − | 17.9264i | 0.438536 | − | 0.759566i | −0.559041 | − | 0.829140i | \(-0.688831\pi\) |
0.997577 | + | 0.0695738i | \(0.0221639\pi\) | |||||||
\(558\) | 37.3026i | 1.57915i | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −43.5198 | + | 17.0952i | −1.83905 | + | 0.722402i | ||||
\(561\) | 1.44931 | + | 0.836758i | 0.0611898 | + | 0.0353279i | ||||
\(562\) | −23.3622 | − | 13.4882i | −0.985475 | − | 0.568964i | ||||
\(563\) | −9.49188 | + | 5.48014i | −0.400035 | + | 0.230960i | −0.686499 | − | 0.727131i | \(-0.740853\pi\) |
0.286464 | + | 0.958091i | \(0.407520\pi\) | |||||||
\(564\) | − | 59.4608i | − | 2.50375i | ||||||
\(565\) | 7.70660 | − | 9.66965i | 0.324219 | − | 0.406805i | ||||
\(566\) | 19.4357 | − | 11.2212i | 0.816941 | − | 0.471661i | ||||
\(567\) | 33.0051 | 1.38608 | ||||||||
\(568\) | 14.4122 | − | 8.32087i | 0.604721 | − | 0.349136i | ||||
\(569\) | −21.3566 | + | 36.9907i | −0.895314 | + | 1.55073i | −0.0618981 | + | 0.998082i | \(0.519715\pi\) |
−0.833416 | + | 0.552647i | \(0.813618\pi\) | |||||||
\(570\) | −2.48821 | + | 16.5415i | −0.104220 | + | 0.692845i | ||||
\(571\) | 23.6145 | 0.988238 | 0.494119 | − | 0.869394i | \(-0.335491\pi\) | ||||
0.494119 | + | 0.869394i | \(0.335491\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 10.6434i | 0.444635i | ||||||||
\(574\) | −64.5366 | − | 37.2602i | −2.69370 | − | 1.55521i | ||||
\(575\) | −10.4933 | + | 2.40158i | −0.437601 | + | 0.100153i | ||||
\(576\) | −0.220882 | − | 0.382579i | −0.00920343 | − | 0.0159408i | ||||
\(577\) | −18.3646 | −0.764530 | −0.382265 | − | 0.924053i | \(-0.624856\pi\) | ||||
−0.382265 | + | 0.924053i | \(0.624856\pi\) | |||||||
\(578\) | −19.7319 | − | 34.1767i | −0.820740 | − | 1.42156i | ||||
\(579\) | −9.24123 | + | 5.33542i | −0.384052 | + | 0.221733i | ||||
\(580\) | −27.9770 | + | 10.9897i | −1.16168 | + | 0.456324i | ||||
\(581\) | 17.4039 | + | 30.1445i | 0.722037 | + | 1.25060i | ||||
\(582\) | −70.1713 | − | 40.5134i | −2.90869 | − | 1.67934i | ||||
\(583\) | −0.203954 | + | 0.353259i | −0.00844691 | + | 0.0146305i | ||||
\(584\) | 65.2151 | 2.69862 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −71.9237 | −2.97114 | ||||||||
\(587\) | 0.351448 | − | 0.608726i | 0.0145058 | − | 0.0251248i | −0.858681 | − | 0.512510i | \(-0.828716\pi\) |
0.873187 | + | 0.487385i | \(0.162049\pi\) | |||||||
\(588\) | −13.6601 | − | 7.88669i | −0.563335 | − | 0.325242i | ||||
\(589\) | 6.11588 | + | 10.5930i | 0.252000 | + | 0.436477i | ||||
\(590\) | 15.8106 | + | 40.2496i | 0.650912 | + | 1.65705i | ||||
\(591\) | −12.5768 | + | 7.26124i | −0.517342 | + | 0.298687i | ||||
\(592\) | −4.35476 | − | 7.54267i | −0.178980 | − | 0.310002i | ||||
\(593\) | −37.1593 | −1.52595 | −0.762975 | − | 0.646428i | \(-0.776262\pi\) | ||||
−0.762975 | + | 0.646428i | \(0.776262\pi\) | |||||||
\(594\) | 2.37548 | + | 4.11446i | 0.0974672 | + | 0.168818i | ||||
\(595\) | 7.95291 | + | 1.19630i | 0.326037 | + | 0.0490434i | ||||
\(596\) | −66.5692 | − | 38.4337i | −2.72678 | − | 1.57431i | ||||
\(597\) | 11.1423i | 0.456026i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 15.6914 | 0.641133 | 0.320567 | − | 0.947226i | \(-0.396127\pi\) | ||||
0.320567 | + | 0.947226i | \(0.396127\pi\) | |||||||
\(600\) | −66.2698 | + | 15.1670i | −2.70546 | + | 0.619190i | ||||
\(601\) | −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 | ||||
\(603\) | 13.1298 | 0.534687 | ||||||||
\(604\) | 82.9754 | − | 47.9059i | 3.37622 | − | 1.94926i | ||||
\(605\) | −18.5298 | − | 14.7680i | −0.753342 | − | 0.600405i | ||||
\(606\) | − | 72.5204i | − | 2.94594i | ||||||
\(607\) | −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 | ||||
\(609\) | −16.4367 | − | 9.48973i | −0.666048 | − | 0.384543i | ||||
\(610\) | −12.0282 | + | 4.72482i | −0.487006 | + | 0.191302i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | − | 8.96730i | − | 0.362482i | ||||||
\(613\) | −8.64201 | + | 14.9684i | −0.349047 | + | 0.604568i | −0.986081 | − | 0.166269i | \(-0.946828\pi\) |
0.637033 | + | 0.770836i | \(0.280161\pi\) | |||||||
\(614\) | 16.1933 | − | 28.0477i | 0.653509 | − | 1.13191i | ||||
\(615\) | −37.5023 | − | 29.8889i | −1.51224 | − | 1.20524i | ||||
\(616\) | − | 11.7861i | − | 0.474877i | ||||||
\(617\) | −13.2345 | − | 22.9229i | −0.532803 | − | 0.922841i | −0.999266 | − | 0.0383009i | \(-0.987805\pi\) |
0.466464 | − | 0.884540i | \(-0.345528\pi\) | |||||||
\(618\) | 30.0582 | + | 52.0624i | 1.20912 | + | 2.09426i | ||||
\(619\) | − | 31.0039i | − | 1.24615i | −0.782162 | − | 0.623075i | \(-0.785883\pi\) | ||
0.782162 | − | 0.623075i | \(-0.214117\pi\) | |||||||
\(620\) | −55.9618 | + | 70.2165i | −2.24748 | + | 2.81996i | ||||
\(621\) | 3.16324 | − | 5.47890i | 0.126937 | − | 0.219861i | ||||
\(622\) | 35.5425 | − | 61.5615i | 1.42513 | − | 2.46839i | ||||
\(623\) | 36.9030i | 1.47849i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.83869 | − | 24.9323i | 0.0735475 | − | 0.997292i | ||||
\(626\) | −54.1925 | − | 31.2881i | −2.16597 | − | 1.25052i | ||||
\(627\) | −1.61621 | − | 0.933121i | −0.0645453 | − | 0.0372653i | ||||
\(628\) | −71.2635 | + | 41.1440i | −2.84372 | + | 1.64182i | ||||
\(629\) | 1.49807i | 0.0597320i | ||||||||
\(630\) | −21.3889 | − | 17.0467i | −0.852156 | − | 0.679159i | ||||
\(631\) | 17.9381 | − | 10.3566i | 0.714104 | − | 0.412288i | −0.0984745 | − | 0.995140i | \(-0.531396\pi\) |
0.812579 | + | 0.582851i | \(0.198063\pi\) | |||||||
\(632\) | −6.55812 | −0.260868 | ||||||||
\(633\) | −26.1362 | + | 15.0897i | −1.03882 | + | 0.599763i | ||||
\(634\) | 0.298331 | − | 0.516725i | 0.0118482 | − | 0.0205218i | ||||
\(635\) | −38.1026 | − | 5.73149i | −1.51206 | − | 0.227447i | ||||
\(636\) | 6.19599 | 0.245687 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 4.85031i | − | 0.192026i | ||||||
\(639\) | 3.73136 | + | 2.15430i | 0.147610 | + | 0.0852229i | ||||
\(640\) | 3.87707 | − | 25.7745i | 0.153254 | − | 1.01883i | ||||
\(641\) | 10.5947 | + | 18.3506i | 0.418467 | + | 0.724806i | 0.995785 | − | 0.0917132i | \(-0.0292343\pi\) |
−0.577319 | + | 0.816519i | \(0.695901\pi\) | |||||||
\(642\) | 58.4997 | 2.30880 | ||||||||
\(643\) | −5.76682 | − | 9.98843i | −0.227421 | − | 0.393905i | 0.729622 | − | 0.683851i | \(-0.239696\pi\) |
−0.957043 | + | 0.289946i | \(0.906363\pi\) | |||||||
\(644\) | −24.5498 | + | 14.1738i | −0.967396 | + | 0.558526i | ||||
\(645\) | 6.12658 | − | 2.40660i | 0.241234 | − | 0.0947598i | ||||
\(646\) | −2.12645 | − | 3.68311i | −0.0836639 | − | 0.144910i | ||||
\(647\) | 30.1779 | + | 17.4232i | 1.18641 | + | 0.684977i | 0.957490 | − | 0.288467i | \(-0.0931456\pi\) |
0.228925 | + | 0.973444i | \(0.426479\pi\) | |||||||
\(648\) | 35.4667 | − | 61.4301i | 1.39326 | − | 2.41320i | ||||
\(649\) | −4.82456 | −0.189380 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −56.6953 | −2.22206 | ||||||||
\(652\) | −8.98591 | + | 15.5641i | −0.351915 | + | 0.609535i | ||||
\(653\) | −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 | ||||
\(655\) | 20.8125 | − | 8.17544i | 0.813214 | − | 0.319441i | ||||
\(656\) | −61.3885 | + | 35.4427i | −2.39682 | + | 1.38380i | ||||
\(657\) | 8.44221 | + | 14.6223i | 0.329362 | + | 0.570471i | ||||
\(658\) | 46.1100 | 1.79755 | ||||||||
\(659\) | −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 | ||||
\(661\) | 11.5256 | + | 6.65430i | 0.448293 | + | 0.258822i | 0.707109 | − | 0.707104i | \(-0.249999\pi\) |
−0.258816 | + | 0.965927i | \(0.583332\pi\) | |||||||
\(662\) | − | 46.6544i | − | 1.81328i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 74.8079 | 2.90311 | ||||||||
\(665\) | −8.86879 | − | 1.33407i | −0.343917 | − | 0.0517328i | ||||
\(666\) | 2.54737 | − | 4.41217i | 0.0987085 | − | 0.170968i | ||||
\(667\) | −5.59346 | + | 3.22939i | −0.216580 | + | 0.125042i | ||||
\(668\) | 13.1670 | 0.509448 | ||||||||
\(669\) | −0.0154844 | + | 0.00893993i | −0.000598662 | + | 0.000345637i | ||||
\(670\) | 35.7464 | + | 28.4894i | 1.38100 | + | 1.10064i | ||||
\(671\) | − | 1.44176i | − | 0.0556587i | ||||||
\(672\) | −30.0479 | + | 17.3481i | −1.15912 | + | 0.669219i | ||||
\(673\) | −4.77457 | − | 2.75660i | −0.184046 | − | 0.106259i | 0.405146 | − | 0.914252i | \(-0.367221\pi\) |
−0.589192 | + | 0.807993i | \(0.700554\pi\) | |||||||
\(674\) | 46.9483 | + | 27.1056i | 1.80838 | + | 1.04407i | ||||
\(675\) | 10.0000 | + | 10.7646i | 0.384900 | + | 0.414331i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 4.80479i | 0.184663i | 0.995728 | + | 0.0923316i | \(0.0294320\pi\) | ||||
−0.995728 | + | 0.0923316i | \(0.970568\pi\) | |||||||
\(678\) | 15.1539 | − | 26.2472i | 0.581980 | − | 1.00802i | ||||
\(679\) | 21.7215 | − | 37.6227i | 0.833594 | − | 1.44383i | ||||
\(680\) | 10.7726 | − | 13.5167i | 0.413112 | − | 0.518341i | ||||
\(681\) | − | 24.2496i | − | 0.929248i | ||||||
\(682\) | −7.24440 | − | 12.5477i | −0.277403 | − | 0.480475i | ||||
\(683\) | −5.88126 | − | 10.1866i | −0.225040 | − | 0.389781i | 0.731291 | − | 0.682065i | \(-0.238918\pi\) |
−0.956331 | + | 0.292284i | \(0.905585\pi\) | |||||||
\(684\) | 10.0000i | 0.382360i | ||||||||
\(685\) | 15.1648 | + | 12.0861i | 0.579416 | + | 0.461788i | ||||
\(686\) | −20.0669 | + | 34.7569i | −0.766157 | + | 1.32702i | ||||
\(687\) | −17.8051 | + | 30.8393i | −0.679306 | + | 1.17659i | ||||
\(688\) | − | 9.72953i | − | 0.370935i | ||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −24.5582 | + | 9.64680i | −0.934916 | + | 0.367247i | ||||
\(691\) | −4.21481 | − | 2.43342i | −0.160339 | − | 0.0925717i | 0.417684 | − | 0.908593i | \(-0.362842\pi\) |
−0.578022 | + | 0.816021i | \(0.696175\pi\) | |||||||
\(692\) | −5.30577 | − | 3.06329i | −0.201695 | − | 0.116449i | ||||
\(693\) | 2.64265 | − | 1.52574i | 0.100386 | − | 0.0579579i | ||||
\(694\) | 9.71254i | 0.368683i | ||||||||
\(695\) | 25.0519 | + | 19.9661i | 0.950272 | + | 0.757356i | ||||
\(696\) | −35.3252 | + | 20.3950i | −1.33900 | + | 0.773070i | ||||
\(697\) | 12.1925 | 0.461825 | ||||||||
\(698\) | 53.6320 | − | 30.9644i | 2.03000 | − | 1.17202i | ||||
\(699\) | 7.48079 | − | 12.9571i | 0.282949 | − | 0.490083i | ||||
\(700\) | −14.6877 | − | 64.1758i | −0.555145 | − | 2.42562i | ||||
\(701\) | −21.3828 | −0.807617 | −0.403808 | − | 0.914844i | \(-0.632314\pi\) | ||||
−0.403808 | + | 0.914844i | \(0.632314\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 1.67059i | − | 0.0630076i | ||||||
\(704\) | 0.148599 | + | 0.0857934i | 0.00560052 | + | 0.00323346i | ||||
\(705\) | 29.3429 | + | 4.41383i | 1.10512 | + | 0.166235i | ||||
\(706\) | −34.4427 | − | 59.6564i | −1.29627 | − | 2.24520i | ||||
\(707\) | 38.8822 | 1.46232 | ||||||||
\(708\) | 36.6417 | + | 63.4654i | 1.37708 | + | 2.38517i | ||||
\(709\) | −22.6175 | + | 13.0582i | −0.849419 | + | 0.490412i | −0.860455 | − | 0.509527i | \(-0.829820\pi\) |
0.0110357 | + | 0.999939i | \(0.496487\pi\) | |||||||
\(710\) | 5.48429 | + | 13.9616i | 0.205822 | + | 0.523969i | ||||
\(711\) | −0.848960 | − | 1.47044i | −0.0318385 | − | 0.0551459i | ||||
\(712\) | 68.6851 | + | 39.6554i | 2.57408 | + | 1.48615i | ||||
\(713\) | −9.64680 | + | 16.7087i | −0.361276 | + | 0.625748i | ||||
\(714\) | 19.7125 | 0.737723 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 34.8880 | 1.30383 | ||||||||
\(717\) | −4.30585 | + | 7.45795i | −0.160805 | + | 0.278522i | ||||
\(718\) | −59.5347 | − | 34.3724i | −2.22182 | − | 1.28277i | ||||
\(719\) | −18.3387 | − | 31.7635i | −0.683918 | − | 1.18458i | −0.973776 | − | 0.227510i | \(-0.926941\pi\) |
0.289858 | − | 0.957070i | \(-0.406392\pi\) | |||||||
\(720\) | −24.2156 | + | 9.51220i | −0.902462 | + | 0.354499i | ||||
\(721\) | −27.9135 | + | 16.1159i | −1.03955 | + | 0.600187i | ||||
\(722\) | −21.8132 | − | 37.7815i | −0.811803 | − | 1.40608i | ||||
\(723\) | 42.5679 | 1.58312 | ||||||||
\(724\) | −8.66324 | − | 15.0052i | −0.321967 | − | 0.557663i | ||||
\(725\) | −3.34648 | − | 14.6219i | −0.124285 | − | 0.543045i | ||||
\(726\) | −50.2971 | − | 29.0390i | −1.86670 | − | 1.07774i | ||||
\(727\) | − | 26.2596i | − | 0.973916i | −0.873425 | − | 0.486958i | \(-0.838107\pi\) | ||
0.873425 | − | 0.486958i | \(-0.161893\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.614542 | −0.0227608 | ||||||||
\(730\) | −8.74375 | + | 58.1279i | −0.323621 | + | 2.15141i | ||||
\(731\) | −0.836758 | + | 1.44931i | −0.0309486 | + | 0.0536046i | ||||
\(732\) | −18.9659 | + | 10.9500i | −0.701000 | + | 0.404723i | ||||
\(733\) | −31.7811 | −1.17386 | −0.586931 | − | 0.809637i | \(-0.699664\pi\) | ||||
−0.586931 | + | 0.809637i | \(0.699664\pi\) | |||||||
\(734\) | 15.3029 | − | 8.83513i | 0.564840 | − | 0.326110i | ||||
\(735\) | 4.90595 | − | 6.15561i | 0.180959 | − | 0.227053i | ||||
\(736\) | 11.8073i | 0.435222i | ||||||||
\(737\) | −4.41654 | + | 2.54989i | −0.162685 | + | 0.0939265i | ||||
\(738\) | −35.9099 | − | 20.7326i | −1.32186 | − | 0.763176i | ||||
\(739\) | 29.5635 | + | 17.0685i | 1.08751 | + | 0.627875i | 0.932913 | − | 0.360102i | \(-0.117258\pi\) |
0.154599 | + | 0.987977i | \(0.450591\pi\) | |||||||
\(740\) | 11.4142 | − | 4.48365i | 0.419595 | − | 0.164822i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 4.80479i | 0.176390i | ||||||||
\(743\) | 1.56031 | − | 2.70254i | 0.0572423 | − | 0.0991465i | −0.835984 | − | 0.548753i | \(-0.815103\pi\) |
0.893227 | + | 0.449607i | \(0.148436\pi\) | |||||||
\(744\) | −60.9237 | + | 105.523i | −2.23357 | + | 3.86866i | ||||
\(745\) | 23.9079 | − | 29.9978i | 0.875917 | − | 1.09903i | ||||
\(746\) | 5.88798i | 0.215574i | ||||||||
\(747\) | 9.68401 | + | 16.7732i | 0.354320 | + | 0.613699i | ||||
\(748\) | 1.74151 | + | 3.01638i | 0.0636758 | + | 0.110290i | ||||
\(749\) | 31.3649i | 1.14605i | ||||||||
\(750\) | −4.63359 | − | 61.1016i | −0.169195 | − | 2.23112i | ||||
\(751\) | 0.742024 | − | 1.28522i | 0.0270769 | − | 0.0468985i | −0.852169 | − | 0.523266i | \(-0.824713\pi\) |
0.879246 | + | 0.476367i | \(0.158047\pi\) | |||||||
\(752\) | 21.9304 | − | 37.9845i | 0.799718 | − | 1.38515i | ||||
\(753\) | − | 7.90881i | − | 0.288213i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 17.4814 | + | 44.5030i | 0.636213 | + | 1.61963i | ||||
\(756\) | 33.5082 | + | 19.3460i | 1.21868 | + | 0.703607i | ||||
\(757\) | 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 | ||||
\(759\) | − | 2.94369i | − | 0.106849i | ||||||
\(760\) | −12.0132 | + | 15.0733i | −0.435766 | + | 0.546766i | ||||
\(761\) | 25.7955 | − | 14.8931i | 0.935088 | − | 0.539873i | 0.0466707 | − | 0.998910i | \(-0.485139\pi\) |
0.888417 | + | 0.459037i | \(0.151806\pi\) | |||||||
\(762\) | −94.4433 | −3.42132 | ||||||||
\(763\) | −8.32215 | + | 4.80479i | −0.301282 | + | 0.173945i | ||||
\(764\) | −11.0758 | + | 19.1839i | −0.400709 | + | 0.694048i | ||||
\(765\) | 4.42521 | + | 0.665652i | 0.159994 | + | 0.0240667i | ||||
\(766\) | 52.5973 | 1.90042 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | − | 62.7228i | − | 2.26331i | ||||||
\(769\) | 16.5399 | + | 9.54930i | 0.596443 | + | 0.344356i | 0.767641 | − | 0.640880i | \(-0.221430\pi\) |
−0.171198 | + | 0.985237i | \(0.554764\pi\) | |||||||
\(770\) | 10.5053 | + | 1.58023i | 0.378584 | + | 0.0569476i | ||||
\(771\) | 14.2791 | + | 24.7322i | 0.514250 | + | 0.890707i | ||||
\(772\) | −22.2088 | −0.799311 | ||||||||
\(773\) | 24.6153 | + | 42.6350i | 0.885351 | + | 1.53347i | 0.845311 | + | 0.534275i | \(0.179415\pi\) |
0.0400400 | + | 0.999198i | \(0.487251\pi\) | |||||||
\(774\) | 4.92889 | − | 2.84570i | 0.177165 | − | 0.102286i | ||||
\(775\) | −30.4966 | − | 32.8284i | −1.09547 | − | 1.17923i | ||||
\(776\) | −46.6831 | − | 80.8574i | −1.67582 | − | 2.90261i | ||||
\(777\) | 6.70593 | + | 3.87167i | 0.240574 | + | 0.138895i | ||||
\(778\) | −25.1362 | + | 43.5373i | −0.901178 | + | 1.56089i | ||||
\(779\) | −13.5967 | −0.487151 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.67352 | −0.0598831 | ||||||||
\(782\) | 3.35412 | − | 5.80951i | 0.119943 | − | 0.207748i | ||||
\(783\) | 7.63458 | + | 4.40783i | 0.272838 | + | 0.157523i | ||||
\(784\) | −5.81754 | − | 10.0763i | −0.207769 | − | 0.359867i | ||||
\(785\) | −15.0139 | − | 38.2215i | −0.535869 | − | 1.36418i | ||||
\(786\) | 47.4650 | − | 27.4039i | 1.69302 | − | 0.977466i | ||||
\(787\) | −4.89168 | − | 8.47263i | −0.174369 | − | 0.302017i | 0.765573 | − | 0.643349i | \(-0.222455\pi\) |
−0.939943 | + | 0.341332i | \(0.889122\pi\) | |||||||
\(788\) | −30.2250 | −1.07672 | ||||||||
\(789\) | 32.5851 | + | 56.4390i | 1.16006 | + | 2.00928i | ||||
\(790\) | 0.879284 | − | 5.84543i | 0.0312835 | − | 0.207971i | ||||
\(791\) | 14.0726 | + | 8.12482i | 0.500364 | + | 0.288885i | ||||
\(792\) | − | 6.55812i | − | 0.233033i | ||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 23.9020 | 0.848250 | ||||||||
\(795\) | −0.459934 | + | 3.05762i | −0.0163122 | + | 0.108442i | ||||
\(796\) | −11.5950 | + | 20.0832i | −0.410975 | + | 0.711830i | ||||
\(797\) | 14.3216 | − | 8.26856i | 0.507296 | − | 0.292887i | −0.224426 | − | 0.974491i | \(-0.572051\pi\) |
0.731721 | + | 0.681604i | \(0.238717\pi\) | |||||||
\(798\) | −21.9827 | −0.778178 | ||||||||
\(799\) | −6.53348 | + | 3.77211i | −0.231138 | + | 0.133448i | ||||
\(800\) | −26.2080 | − | 8.06708i | −0.926592 | − | 0.285214i | ||||
\(801\) | 20.5338i | 0.725527i | ||||||||
\(802\) | −54.0188 | + | 31.1878i | −1.90747 | + | 1.10128i | ||||
\(803\) | −5.67950 | − | 3.27906i | −0.200425 | − | 0.115715i | ||||
\(804\) | 67.0859 | + | 38.7320i | 2.36594 | + | 1.36597i | ||||
\(805\) | −5.17218 | − | 13.1670i | −0.182295 | − | 0.464077i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 47.9018i | 1.68622i | ||||||||
\(808\) | 41.7821 | − | 72.3688i | 1.46989 | − | 2.54592i | ||||
\(809\) | −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 | ||||
\(811\) | 13.3470i | 0.468678i | 0.972155 | + | 0.234339i | \(0.0752925\pi\) | ||||
−0.972155 | + | 0.234339i | \(0.924707\pi\) | |||||||
\(812\) | −19.7505 | − | 34.2089i | −0.693108 | − | 1.20050i | ||||
\(813\) | 12.7328 | + | 22.0539i | 0.446560 | + | 0.773465i | ||||
\(814\) | 1.97886i | 0.0693589i | ||||||||
\(815\) | −7.01356 | − | 5.58973i | −0.245674 | − | 0.195800i | ||||
\(816\) | 9.37548 | − | 16.2388i | 0.328208 | − | 0.568472i | ||||
\(817\) | 0.933121 | − | 1.61621i | 0.0326458 | − | 0.0565441i | ||||
\(818\) | − | 91.9431i | − | 3.21472i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −36.4917 | − | 92.8982i | −1.27434 | − | 3.24415i | ||||
\(821\) | −10.1096 | − | 5.83676i | −0.352826 | − | 0.203704i | 0.313103 | − | 0.949719i | \(-0.398631\pi\) |
−0.665929 | + | 0.746015i | \(0.731965\pi\) | |||||||
\(822\) | 41.1631 | + | 23.7656i | 1.43573 | + | 0.828919i | ||||
\(823\) | −28.0867 | + | 16.2159i | −0.979041 | + | 0.565249i | −0.901980 | − | 0.431777i | \(-0.857887\pi\) |
−0.0770602 | + | 0.997026i | \(0.524553\pi\) | |||||||
\(824\) | 69.2714i | 2.41318i | ||||||||
\(825\) | 6.53396 | + | 2.01122i | 0.227483 | + | 0.0700216i | ||||
\(826\) | −49.2154 | + | 28.4145i | −1.71242 | + | 0.988667i | ||||
\(827\) | −27.3319 | −0.950425 | −0.475212 | − | 0.879871i | \(-0.657629\pi\) | ||||
−0.475212 | + | 0.879871i | \(0.657629\pi\) | |||||||
\(828\) | −13.6601 | + | 7.88669i | −0.474723 | + | 0.274081i | ||||
\(829\) | −1.77018 | + | 3.06604i | −0.0614808 | + | 0.106488i | −0.895128 | − | 0.445810i | \(-0.852916\pi\) |
0.833647 | + | 0.552298i | \(0.186249\pi\) | |||||||
\(830\) | −10.0299 | + | 66.6783i | −0.348143 | + | 2.31444i | ||||
\(831\) | −36.1370 | −1.25358 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 2.00128i | 0.0693402i | ||||||||
\(834\) | 68.0007 | + | 39.2602i | 2.35467 | + | 1.35947i | ||||
\(835\) | −0.977401 | + | 6.49770i | −0.0338244 | + | 0.224862i | ||||
\(836\) | −1.94206 | − | 3.36375i | −0.0671676 | − | 0.116338i | ||||
\(837\) | 26.3341 | 0.910238 | ||||||||
\(838\) | −8.74059 | − | 15.1391i | −0.301939 | − | 0.522973i | ||||
\(839\) | 38.7893 | − | 22.3950i | 1.33915 | − | 0.773161i | 0.352472 | − | 0.935822i | \(-0.385341\pi\) |
0.986682 | + | 0.162661i | \(0.0520078\pi\) | |||||||
\(840\) | −32.6646 | − | 83.1555i | −1.12704 | − | 2.86914i | ||||
\(841\) | 10.0000 | + | 17.3205i | 0.344828 | + | 0.597259i | ||||
\(842\) | −74.9136 | − | 43.2514i | −2.58169 | − | 1.49054i | ||||
\(843\) | 11.4069 | − | 19.7574i | 0.392875 | − | 0.680479i | ||||
\(844\) | −62.8111 | −2.16205 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 25.6568 | 0.882100 | ||||||||
\(847\) | 15.5694 | − | 26.9670i | 0.534972 | − | 0.926598i | ||||
\(848\) | 3.95810 | + | 2.28521i | 0.135922 | + | 0.0784744i | ||||
\(849\) | 9.48973 | + | 16.4367i | 0.325687 | + | 0.564106i | ||||
\(850\) | 10.6034 | + | 11.4142i | 0.363695 | + | 0.391504i | ||||
\(851\) | 2.28205 | − | 1.31754i | 0.0782278 | − | 0.0451648i | ||||
\(852\) | 12.7101 | + | 22.0145i | 0.435440 | + | 0.754205i | ||||
\(853\) | −31.3732 | −1.07420 | −0.537099 | − | 0.843519i | \(-0.680480\pi\) | ||||
−0.537099 | + | 0.843519i | \(0.680480\pi\) | |||||||
\(854\) | −8.49136 | − | 14.7075i | −0.290568 | − | 0.503279i | ||||
\(855\) | −4.93483 | − | 0.742310i | −0.168768 | − | 0.0253865i | ||||
\(856\) | 58.3774 | + | 33.7042i | 1.99530 | + | 1.15199i | ||||
\(857\) | − | 21.2813i | − | 0.726955i | −0.931603 | − | 0.363478i | \(-0.881589\pi\) | ||
0.931603 | − | 0.363478i | \(-0.118411\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −56.8502 | −1.93970 | −0.969851 | − | 0.243698i | \(-0.921639\pi\) | ||||
−0.969851 | + | 0.243698i | \(0.921639\pi\) | |||||||
\(860\) | 13.5470 | + | 2.03778i | 0.461950 | + | 0.0694877i | ||||
\(861\) | 31.5109 | − | 54.5784i | 1.07389 | − | 1.86003i | ||||
\(862\) | −35.8251 | + | 20.6837i | −1.22021 | + | 0.704488i | ||||
\(863\) | −32.8011 | −1.11656 | −0.558282 | − | 0.829651i | \(-0.688539\pi\) | ||||
−0.558282 | + | 0.829651i | \(0.688539\pi\) | |||||||
\(864\) | 13.9568 | − | 8.05794i | 0.474819 | − | 0.274137i | ||||
\(865\) | 1.90553 | − | 2.39092i | 0.0647901 | − | 0.0812936i | ||||
\(866\) | − | 0.652374i | − | 0.0221686i | ||||||
\(867\) | 28.9032 | − | 16.6873i | 0.981603 | − | 0.566729i | ||||
\(868\) | −102.189 | − | 58.9986i | −3.46851 | − | 2.00254i | ||||
\(869\) | 0.571138 | + | 0.329747i | 0.0193745 | + | 0.0111859i | ||||
\(870\) | −13.4424 | − | 34.2207i | −0.455739 | − | 1.16019i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 20.6526i | 0.699385i | ||||||||
\(873\) | 12.0864 | − | 20.9343i | 0.409063 | − | 0.708518i | ||||
\(874\) | −3.74039 | + | 6.47855i | −0.126521 | + | 0.219140i | ||||
\(875\) | 32.7599 | − | 2.48432i | 1.10749 | − | 0.0839854i | ||||
\(876\) | 99.6157i | 3.36570i | ||||||||
\(877\) | 18.0325 | + | 31.2333i | 0.608916 | + | 1.05467i | 0.991419 | + | 0.130719i | \(0.0417286\pi\) |
−0.382504 | + | 0.923954i | \(0.624938\pi\) | |||||||
\(878\) | 9.66956 | + | 16.7482i | 0.326332 | + | 0.565223i | ||||
\(879\) | − | 60.8257i | − | 2.05160i | ||||||
\(880\) | 6.29819 | − | 7.90248i | 0.212312 | − | 0.266393i | ||||
\(881\) | −23.0198 | + | 39.8715i | −0.775557 | + | 1.34330i | 0.158924 | + | 0.987291i | \(0.449198\pi\) |
−0.934481 | + | 0.356013i | \(0.884136\pi\) | |||||||
\(882\) | 3.40304 | − | 5.89423i | 0.114586 | − | 0.198469i | ||||
\(883\) | − | 0.802236i | − | 0.0269974i | −0.999909 | − | 0.0134987i | \(-0.995703\pi\) | ||
0.999909 | − | 0.0134987i | \(-0.00429690\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −34.0390 | + | 13.3710i | −1.14421 | + | 0.449461i | ||||
\(886\) | −9.52962 | − | 5.50193i | −0.320154 | − | 0.184841i | ||||
\(887\) | 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 | ||||
\(889\) | − | 50.6363i | − | 1.69829i | ||||||
\(890\) | −44.5549 | + | 55.9041i | −1.49348 | + | 1.87391i | ||||
\(891\) | −6.17750 | + | 3.56658i | −0.206954 | + | 0.119485i | ||||
\(892\) | −0.0372125 | −0.00124597 | ||||||||
\(893\) | 7.28589 | − | 4.20651i | 0.243813 | − | 0.140766i | ||||
\(894\) | 47.0112 | − | 81.4257i | 1.57229 | − | 2.72328i | ||||
\(895\) | −2.58977 | + | 17.2166i | −0.0865664 | + | 0.575488i | ||||
\(896\) | 34.2529 | 1.14431 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 8.37054i | 0.279328i | ||||||||
\(899\) | −23.2829 | − | 13.4424i | −0.776527 | − | 0.448328i | ||||
\(900\) | −8.17266 | − | 35.7091i | −0.272422 | − | 1.19030i | ||||
\(901\) | −0.393064 | − | 0.680808i | −0.0130949 | − | 0.0226810i | ||||
\(902\) | 16.1056 | 0.536257 | ||||||||
\(903\) | 4.32510 | + | 7.49129i | 0.143930 | + | 0.249295i | ||||
\(904\) | 30.2443 | − | 17.4616i | 1.00591 | − | 0.580763i | ||||
\(905\) | 8.04788 | − | 3.16131i | 0.267521 | − | 0.105086i | ||||
\(906\) | 58.5973 | + | 101.493i | 1.94676 | + | 3.37189i | ||||
\(907\) | 26.3583 | + | 15.2180i | 0.875213 | + | 0.505305i | 0.869077 | − | 0.494677i | \(-0.164714\pi\) |
0.00613601 | + | 0.999981i | \(0.498047\pi\) | |||||||
\(908\) | 25.2348 | − | 43.7080i | 0.837447 | − | 1.45050i | ||||
\(909\) | 21.6351 | 0.717591 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 43.6145 | 1.44501 | 0.722507 | − | 0.691363i | \(-0.242990\pi\) | ||||
0.722507 | + | 0.691363i | \(0.242990\pi\) | |||||||
\(912\) | −10.4552 | + | 18.1089i | −0.346206 | + | 0.599646i | ||||
\(913\) | −6.51492 | − | 3.76139i | −0.215612 | − | 0.124484i | ||||
\(914\) | 19.6354 | + | 34.0095i | 0.649481 | + | 1.12493i | ||||
\(915\) | −3.99577 | − | 10.1722i | −0.132096 | − | 0.336282i | ||||
\(916\) | −64.1844 | + | 37.0569i | −2.12071 | + | 1.22439i | ||||
\(917\) | 14.6928 | + | 25.4486i | 0.485198 | + | 0.840387i | ||||
\(918\) | −9.15616 | −0.302198 | ||||||||
\(919\) | −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 | ||||
\(921\) | 23.7198 | + | 13.6947i | 0.781595 | + | 0.451254i | ||||
\(922\) | 65.8957i | 2.17016i | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 18.0033 | 0.592264 | ||||||||
\(925\) | 1.36532 | + | 5.96554i | 0.0448914 | + | 0.196146i | ||||
\(926\) | −8.96157 | + | 15.5219i | −0.294496 | + | 0.510081i | ||||
\(927\) | −15.5318 | + | 8.96730i | −0.510132 | + | 0.294525i | ||||
\(928\) | −16.4529 | −0.540092 | ||||||||
\(929\) | 4.12942 | − | 2.38412i | 0.135482 | − | 0.0782206i | −0.430727 | − | 0.902482i | \(-0.641743\pi\) |
0.566209 | + | 0.824262i | \(0.308409\pi\) | |||||||
\(930\) | −85.8871 | − | 68.4510i | −2.81635 | − | 2.24460i | ||||
\(931\) | − | 2.23175i | − | 0.0731427i | ||||||
\(932\) | 26.9670 | − | 15.5694i | 0.883334 | − | 0.509993i | ||||
\(933\) | 52.0624 | + | 30.0582i | 1.70445 | + | 0.984062i | ||||
\(934\) | −41.4727 | − | 23.9443i | −1.35703 | − | 0.783481i | ||||
\(935\) | −1.61780 | + | 0.635495i | −0.0529079 | + | 0.0207829i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 43.6264i | − | 1.42521i | −0.701565 | − | 0.712606i | \(-0.747515\pi\) | ||
0.701565 | − | 0.712606i | \(-0.252485\pi\) | |||||||
\(938\) | −30.0355 | + | 52.0230i | −0.980693 | + | 1.69861i | ||||
\(939\) | 26.4602 | − | 45.8305i | 0.863497 | − | 1.49562i | ||||
\(940\) | 48.2951 | + | 38.4906i | 1.57521 | + | 1.25543i | ||||
\(941\) | 18.2675i | 0.595504i | 0.954643 | + | 0.297752i | \(0.0962368\pi\) | ||||
−0.954643 | + | 0.297752i | \(0.903763\pi\) | |||||||
\(942\) | −50.3263 | − | 87.1677i | −1.63972 | − | 2.84008i | ||||
\(943\) | −10.7233 | − | 18.5732i | −0.349197 | − | 0.604828i | ||||
\(944\) | 54.0569i | 1.75940i | ||||||||
\(945\) | −12.0343 | + | 15.0997i | −0.391475 | + | 0.491192i | ||||
\(946\) | −1.10530 | + | 1.91444i | −0.0359365 | + | 0.0622439i | ||||
\(947\) | −9.99146 | + | 17.3057i | −0.324679 | + | 0.562360i | −0.981447 | − | 0.191732i | \(-0.938590\pi\) |
0.656769 | + | 0.754092i | \(0.271923\pi\) | |||||||
\(948\) | − | 10.0175i | − | 0.325353i | ||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −11.8246 | − | 12.7287i | −0.383639 | − | 0.412973i | ||||
\(951\) | 0.436993 | + | 0.252298i | 0.0141705 | + | 0.00818132i | ||||
\(952\) | 19.6713 | + | 11.3572i | 0.637551 | + | 0.368090i | ||||
\(953\) | 34.5228 | − | 19.9317i | 1.11830 | − | 0.645652i | 0.177335 | − | 0.984150i | \(-0.443252\pi\) |
0.940967 | + | 0.338498i | \(0.109919\pi\) | |||||||
\(954\) | 2.67352i | 0.0865583i | ||||||||
\(955\) | −8.64475 | − | 6.88976i | −0.279737 | − | 0.222948i | ||||
\(956\) | −15.5219 | + | 8.96157i | −0.502014 | + | 0.289838i | ||||
\(957\) | 4.10190 | 0.132596 | ||||||||
\(958\) | −42.9416 | + | 24.7923i | −1.38738 | + | 0.801004i | ||||
\(959\) | −12.7420 | + | 22.0698i | −0.411461 | + | 0.712672i | ||||
\(960\) | 1.28619 | + | 0.193472i | 0.0415116 | + | 0.00624428i | ||||
\(961\) | −49.3098 | −1.59064 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 17.4523i | 0.562392i | ||||||||
\(964\) | 76.7252 | + | 44.2973i | 2.47115 | + | 1.42672i | ||||
\(965\) | 1.64858 | − | 10.9596i | 0.0530696 | − | 0.352803i | ||||
\(966\) | −17.3371 | − | 30.0287i | −0.557811 | − | 0.966156i | ||||
\(967\) | −43.8607 | −1.41047 | −0.705233 | − | 0.708975i | \(-0.749158\pi\) | ||||
−0.705233 | + | 0.708975i | \(0.749158\pi\) | |||||||
\(968\) | −33.4613 | − | 57.9566i | −1.07549 | − | 1.86280i | ||||
\(969\) | 3.11480 | − | 1.79833i | 0.100062 | − | 0.0577707i | ||||
\(970\) | 78.3294 | − | 30.7688i | 2.51501 | − | 0.987928i | ||||
\(971\) | −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 | ||||
\(973\) | −21.0496 | + | 36.4589i | −0.674818 | + | 1.16882i | ||||
\(974\) | −82.2887 | −2.63670 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −16.1543 | −0.517087 | ||||||||
\(977\) | −25.6849 | + | 44.4875i | −0.821731 | + | 1.42328i | 0.0826604 | + | 0.996578i | \(0.473658\pi\) |
−0.904392 | + | 0.426703i | \(0.859675\pi\) | |||||||
\(978\) | −19.0376 | − | 10.9913i | −0.608754 | − | 0.351464i | ||||
\(979\) | −3.98780 | − | 6.90707i | −0.127451 | − | 0.220751i | ||||
\(980\) | 15.2483 | − | 5.98973i | 0.487088 | − | 0.191335i | ||||
\(981\) | −4.63066 | + | 2.67352i | −0.147846 | + | 0.0853588i | ||||
\(982\) | 36.4942 | + | 63.2099i | 1.16458 | + | 2.01711i | ||||
\(983\) | 37.3026 | 1.18977 | 0.594885 | − | 0.803811i | \(-0.297198\pi\) | ||||
0.594885 | + | 0.803811i | \(0.297198\pi\) | |||||||
\(984\) | −67.7221 | − | 117.298i | −2.15890 | − | 3.73933i | ||||
\(985\) | 2.24363 | − | 14.9155i | 0.0714880 | − | 0.475248i | ||||
\(986\) | 8.09528 | + | 4.67381i | 0.257806 | + | 0.148845i | ||||
\(987\) | 38.9951i | 1.24123i | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.94369 | 0.0936040 | ||||||||
\(990\) | 5.84543 | + | 0.879284i | 0.185780 | + | 0.0279455i | ||||
\(991\) | 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 | ||||
\(993\) | 39.4556 | 1.25208 | ||||||||
\(994\) | −17.0716 | + | 9.85627i | −0.541477 | + | 0.312622i | ||||
\(995\) | −9.05000 | − | 7.21274i | −0.286904 | − | 0.228659i | ||||
\(996\) | 114.269i | 3.62074i | ||||||||
\(997\) | −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 | ||||
\(999\) | −3.11480 | − | 1.79833i | −0.0985479 | − | 0.0568967i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))