Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [700,2,Mod(699,700)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(700, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("700.699");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 700 = 2^{2} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 700.c (of order \(2\), degree \(1\), 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: | \(5.58952814149\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | 8.0.342102016.5 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + x^{6} + 4x^{4} + 4x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 699.1 | ||
Root | \(-1.17915 + 0.780776i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 700.699 |
Dual form | 700.2.c.i.699.2 |
$q$-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 \(\left(\mathbb{Z}/700\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(351\) | \(477\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.17915 | − | 0.780776i | −0.833783 | − | 0.552092i | ||||
\(3\) | 3.02045i | 1.74386i | 0.489634 | + | 0.871928i | \(0.337130\pi\) | ||||
−0.489634 | + | 0.871928i | \(0.662870\pi\) | |||||||
\(4\) | 0.780776 | + | 1.84130i | 0.390388 | + | 0.920650i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 2.35829 | − | 3.56155i | 0.962770 | − | 1.45400i | ||||
\(7\) | −1.51022 | + | 2.17238i | −0.570811 | + | 0.821081i | ||||
\(8\) | 0.516994 | − | 2.78078i | 0.182785 | − | 0.983153i | ||||
\(9\) | −6.12311 | −2.04104 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | − | 4.71659i | − | 1.42211i | −0.703139 | − | 0.711053i | \(-0.748219\pi\) | ||
0.703139 | − | 0.711053i | \(-0.251781\pi\) | |||||||
\(12\) | −5.56155 | + | 2.35829i | −1.60548 | + | 0.680781i | ||||
\(13\) | −2.00000 | −0.554700 | −0.277350 | − | 0.960769i | \(-0.589456\pi\) | ||||
−0.277350 | + | 0.960769i | \(0.589456\pi\) | |||||||
\(14\) | 3.47692 | − | 1.38241i | 0.929245 | − | 0.369463i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.78078 | + | 2.87529i | −0.695194 | + | 0.718822i | ||||
\(17\) | 1.12311 | 0.272393 | 0.136197 | − | 0.990682i | \(-0.456512\pi\) | ||||
0.136197 | + | 0.990682i | \(0.456512\pi\) | |||||||
\(18\) | 7.22004 | + | 4.78078i | 1.70178 | + | 1.12684i | ||||
\(19\) | −4.71659 | −1.08206 | −0.541030 | − | 0.841003i | \(-0.681965\pi\) | ||||
−0.541030 | + | 0.841003i | \(0.681965\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −6.56155 | − | 4.56155i | −1.43185 | − | 0.995412i | ||||
\(22\) | −3.68260 | + | 5.56155i | −0.785133 | + | 1.18573i | ||||
\(23\) | −6.41273 | −1.33715 | −0.668573 | − | 0.743646i | \(-0.733095\pi\) | ||||
−0.668573 | + | 0.743646i | \(0.733095\pi\) | |||||||
\(24\) | 8.39919 | + | 1.56155i | 1.71448 | + | 0.318751i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 2.35829 | + | 1.56155i | 0.462500 | + | 0.306246i | ||||
\(27\) | − | 9.43318i | − | 1.81542i | ||||||
\(28\) | −5.17915 | − | 1.08464i | −0.978767 | − | 0.204977i | ||||
\(29\) | 2.00000 | 0.371391 | 0.185695 | − | 0.982607i | \(-0.440546\pi\) | ||||
0.185695 | + | 0.982607i | \(0.440546\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.39228 | 0.609272 | 0.304636 | − | 0.952469i | \(-0.401465\pi\) | ||||
0.304636 | + | 0.952469i | \(0.401465\pi\) | |||||||
\(32\) | 5.52390 | − | 1.21922i | 0.976497 | − | 0.215530i | ||||
\(33\) | 14.2462 | 2.47995 | ||||||||
\(34\) | −1.32431 | − | 0.876894i | −0.227117 | − | 0.150386i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −4.78078 | − | 11.2745i | −0.796796 | − | 1.87908i | ||||
\(37\) | 2.00000i | 0.328798i | 0.986394 | + | 0.164399i | \(0.0525685\pi\) | ||||
−0.986394 | + | 0.164399i | \(0.947432\pi\) | |||||||
\(38\) | 5.56155 | + | 3.68260i | 0.902203 | + | 0.597397i | ||||
\(39\) | − | 6.04090i | − | 0.967317i | ||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.12311i | 0.175400i | 0.996147 | + | 0.0876998i | \(0.0279516\pi\) | ||||
−0.996147 | + | 0.0876998i | \(0.972048\pi\) | |||||||
\(42\) | 4.17548 | + | 10.5018i | 0.644291 | + | 1.62047i | ||||
\(43\) | 0.371834 | 0.0567042 | 0.0283521 | − | 0.999598i | \(-0.490974\pi\) | ||||
0.0283521 | + | 0.999598i | \(0.490974\pi\) | |||||||
\(44\) | 8.68466 | − | 3.68260i | 1.30926 | − | 0.555173i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 7.56155 | + | 5.00691i | 1.11489 | + | 0.738228i | ||||
\(47\) | − | 5.08842i | − | 0.742223i | −0.928588 | − | 0.371111i | \(-0.878977\pi\) | ||
0.928588 | − | 0.371111i | \(-0.121023\pi\) | |||||||
\(48\) | −8.68466 | − | 8.39919i | −1.25352 | − | 1.21232i | ||||
\(49\) | −2.43845 | − | 6.56155i | −0.348350 | − | 0.937365i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.39228i | 0.475014i | ||||||||
\(52\) | −1.56155 | − | 3.68260i | −0.216548 | − | 0.510685i | ||||
\(53\) | − | 2.00000i | − | 0.274721i | −0.990521 | − | 0.137361i | \(-0.956138\pi\) | ||
0.990521 | − | 0.137361i | \(-0.0438619\pi\) | |||||||
\(54\) | −7.36520 | + | 11.1231i | −1.00228 | + | 1.51366i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 5.26012 | + | 5.32270i | 0.702913 | + | 0.711276i | ||||
\(57\) | − | 14.2462i | − | 1.88696i | ||||||
\(58\) | −2.35829 | − | 1.56155i | −0.309659 | − | 0.205042i | ||||
\(59\) | −2.06798 | −0.269227 | −0.134614 | − | 0.990898i | \(-0.542979\pi\) | ||||
−0.134614 | + | 0.990898i | \(0.542979\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 2.00000i | − | 0.256074i | −0.991769 | − | 0.128037i | \(-0.959132\pi\) | ||
0.991769 | − | 0.128037i | \(-0.0408676\pi\) | |||||||
\(62\) | −4.00000 | − | 2.64861i | −0.508001 | − | 0.336374i | ||||
\(63\) | 9.24726 | − | 13.3017i | 1.16505 | − | 1.67586i | ||||
\(64\) | −7.46543 | − | 2.87529i | −0.933179 | − | 0.359411i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −16.7984 | − | 11.1231i | −2.06774 | − | 1.36916i | ||||
\(67\) | −3.76412 | −0.459860 | −0.229930 | − | 0.973207i | \(-0.573850\pi\) | ||||
−0.229930 | + | 0.973207i | \(0.573850\pi\) | |||||||
\(68\) | 0.876894 | + | 2.06798i | 0.106339 | + | 0.250779i | ||||
\(69\) | − | 19.3693i | − | 2.33179i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 7.36520i | 0.874089i | 0.899440 | + | 0.437044i | \(0.143975\pi\) | ||||
−0.899440 | + | 0.437044i | \(0.856025\pi\) | |||||||
\(72\) | −3.16561 | + | 17.0270i | −0.373070 | + | 2.00665i | ||||
\(73\) | −15.3693 | −1.79884 | −0.899421 | − | 0.437083i | \(-0.856012\pi\) | ||||
−0.899421 | + | 0.437083i | \(0.856012\pi\) | |||||||
\(74\) | 1.56155 | − | 2.35829i | 0.181527 | − | 0.274146i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.68260 | − | 8.68466i | −0.422423 | − | 0.996199i | ||||
\(77\) | 10.2462 | + | 7.12311i | 1.16766 | + | 0.811753i | ||||
\(78\) | −4.71659 | + | 7.12311i | −0.534049 | + | 0.806533i | ||||
\(79\) | 1.32431i | 0.148996i | 0.997221 | + | 0.0744981i | \(0.0237355\pi\) | ||||
−0.997221 | + | 0.0744981i | \(0.976265\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 10.1231 | 1.12479 | ||||||||
\(82\) | 0.876894 | − | 1.32431i | 0.0968368 | − | 0.146245i | ||||
\(83\) | 3.02045i | 0.331537i | 0.986165 | + | 0.165769i | \(0.0530105\pi\) | ||||
−0.986165 | + | 0.165769i | \(0.946990\pi\) | |||||||
\(84\) | 3.27608 | − | 15.6433i | 0.357450 | − | 1.70683i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.438447 | − | 0.290319i | −0.0472790 | − | 0.0313059i | ||||
\(87\) | 6.04090i | 0.647652i | ||||||||
\(88\) | −13.1158 | − | 2.43845i | −1.39815 | − | 0.259939i | ||||
\(89\) | 12.0000i | 1.27200i | 0.771690 | + | 0.635999i | \(0.219412\pi\) | ||||
−0.771690 | + | 0.635999i | \(0.780588\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.02045 | − | 4.34475i | 0.316629 | − | 0.455454i | ||||
\(92\) | −5.00691 | − | 11.8078i | −0.522006 | − | 1.23104i | ||||
\(93\) | 10.2462i | 1.06248i | ||||||||
\(94\) | −3.97292 | + | 6.00000i | −0.409775 | + | 0.618853i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.68260 | + | 16.6847i | 0.375854 | + | 1.70287i | ||||
\(97\) | −1.12311 | −0.114034 | −0.0570170 | − | 0.998373i | \(-0.518159\pi\) | ||||
−0.0570170 | + | 0.998373i | \(0.518159\pi\) | |||||||
\(98\) | −2.24782 | + | 9.64092i | −0.227064 | + | 0.973880i | ||||
\(99\) | 28.8802i | 2.90257i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 15.1231i | 1.50481i | 0.658703 | + | 0.752403i | \(0.271105\pi\) | ||||
−0.658703 | + | 0.752403i | \(0.728895\pi\) | |||||||
\(102\) | 2.64861 | − | 4.00000i | 0.262252 | − | 0.396059i | ||||
\(103\) | − | 7.73704i | − | 0.762353i | −0.924502 | − | 0.381176i | \(-0.875519\pi\) | ||
0.924502 | − | 0.381176i | \(-0.124481\pi\) | |||||||
\(104\) | −1.03399 | + | 5.56155i | −0.101391 | + | 0.545355i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.56155 | + | 2.35829i | −0.151671 | + | 0.229058i | ||||
\(107\) | −5.66906 | −0.548049 | −0.274024 | − | 0.961723i | \(-0.588355\pi\) | ||||
−0.274024 | + | 0.961723i | \(0.588355\pi\) | |||||||
\(108\) | 17.3693 | − | 7.36520i | 1.67136 | − | 0.708717i | ||||
\(109\) | 7.12311 | 0.682270 | 0.341135 | − | 0.940014i | \(-0.389189\pi\) | ||||
0.341135 | + | 0.940014i | \(0.389189\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −6.04090 | −0.573376 | ||||||||
\(112\) | −2.04662 | − | 10.3832i | −0.193387 | − | 0.981123i | ||||
\(113\) | − | 18.4924i | − | 1.73962i | −0.493386 | − | 0.869810i | \(-0.664241\pi\) | ||
0.493386 | − | 0.869810i | \(-0.335759\pi\) | |||||||
\(114\) | −11.1231 | + | 16.7984i | −1.04177 | + | 1.57331i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 1.56155 | + | 3.68260i | 0.144987 | + | 0.341921i | ||||
\(117\) | 12.2462 | 1.13216 | ||||||||
\(118\) | 2.43845 | + | 1.61463i | 0.224477 | + | 0.148638i | ||||
\(119\) | −1.69614 | + | 2.43981i | −0.155485 | + | 0.223657i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −11.2462 | −1.02238 | ||||||||
\(122\) | −1.56155 | + | 2.35829i | −0.141376 | + | 0.213510i | ||||
\(123\) | −3.39228 | −0.305872 | ||||||||
\(124\) | 2.64861 | + | 6.24621i | 0.237853 | + | 0.560926i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −21.2895 | + | 8.46462i | −1.89662 | + | 0.754088i | ||||
\(127\) | −17.7509 | −1.57513 | −0.787567 | − | 0.616229i | \(-0.788659\pi\) | ||||
−0.787567 | + | 0.616229i | \(0.788659\pi\) | |||||||
\(128\) | 6.55789 | + | 9.21922i | 0.579641 | + | 0.814872i | ||||
\(129\) | 1.12311i | 0.0988839i | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −17.5420 | −1.53266 | −0.766328 | − | 0.642450i | \(-0.777918\pi\) | ||||
−0.766328 | + | 0.642450i | \(0.777918\pi\) | |||||||
\(132\) | 11.1231 | + | 26.2316i | 0.968142 | + | 2.28316i | ||||
\(133\) | 7.12311 | − | 10.2462i | 0.617652 | − | 0.888459i | ||||
\(134\) | 4.43845 | + | 2.93893i | 0.383423 | + | 0.253885i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.580639 | − | 3.12311i | 0.0497894 | − | 0.267804i | ||||
\(137\) | − | 14.0000i | − | 1.19610i | −0.801459 | − | 0.598050i | \(-0.795942\pi\) | ||
0.801459 | − | 0.598050i | \(-0.204058\pi\) | |||||||
\(138\) | −15.1231 | + | 22.8393i | −1.28736 | + | 1.94421i | ||||
\(139\) | 16.7984 | 1.42482 | 0.712410 | − | 0.701763i | \(-0.247604\pi\) | ||||
0.712410 | + | 0.701763i | \(0.247604\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 15.3693 | 1.29433 | ||||||||
\(142\) | 5.75058 | − | 8.68466i | 0.482578 | − | 0.728800i | ||||
\(143\) | 9.43318i | 0.788842i | ||||||||
\(144\) | 17.0270 | − | 17.6057i | 1.41892 | − | 1.46714i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 18.1227 | + | 12.0000i | 1.49984 | + | 0.993127i | ||||
\(147\) | 19.8188 | − | 7.36520i | 1.63463 | − | 0.607472i | ||||
\(148\) | −3.68260 | + | 1.56155i | −0.302708 | + | 0.128359i | ||||
\(149\) | −5.36932 | −0.439872 | −0.219936 | − | 0.975514i | \(-0.570585\pi\) | ||||
−0.219936 | + | 0.975514i | \(0.570585\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 10.0138i | 0.814913i | 0.913225 | + | 0.407456i | \(0.133584\pi\) | ||||
−0.913225 | + | 0.407456i | \(0.866416\pi\) | |||||||
\(152\) | −2.43845 | + | 13.1158i | −0.197784 | + | 1.06383i | ||||
\(153\) | −6.87689 | −0.555964 | ||||||||
\(154\) | −6.52024 | − | 16.3992i | −0.525416 | − | 1.32148i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 11.1231 | − | 4.71659i | 0.890561 | − | 0.377629i | ||||
\(157\) | −0.246211 | −0.0196498 | −0.00982490 | − | 0.999952i | \(-0.503127\pi\) | ||||
−0.00982490 | + | 0.999952i | \(0.503127\pi\) | |||||||
\(158\) | 1.03399 | − | 1.56155i | 0.0822596 | − | 0.124230i | ||||
\(159\) | 6.04090 | 0.479074 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 9.68466 | − | 13.9309i | 0.763258 | − | 1.09791i | ||||
\(162\) | −11.9366 | − | 7.90388i | −0.937830 | − | 0.620988i | ||||
\(163\) | −3.02045 | −0.236580 | −0.118290 | − | 0.992979i | \(-0.537741\pi\) | ||||
−0.118290 | + | 0.992979i | \(0.537741\pi\) | |||||||
\(164\) | −2.06798 | + | 0.876894i | −0.161482 | + | 0.0684739i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.35829 | − | 3.56155i | 0.183039 | − | 0.276430i | ||||
\(167\) | 19.8188i | 1.53363i | 0.641870 | + | 0.766813i | \(0.278159\pi\) | ||||
−0.641870 | + | 0.766813i | \(0.721841\pi\) | |||||||
\(168\) | −16.0769 | + | 15.8879i | −1.24036 | + | 1.22578i | ||||
\(169\) | −9.00000 | −0.692308 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 28.8802 | 2.20852 | ||||||||
\(172\) | 0.290319 | + | 0.684658i | 0.0221366 | + | 0.0522047i | ||||
\(173\) | 16.2462 | 1.23518 | 0.617588 | − | 0.786502i | \(-0.288110\pi\) | ||||
0.617588 | + | 0.786502i | \(0.288110\pi\) | |||||||
\(174\) | 4.71659 | − | 7.12311i | 0.357564 | − | 0.540001i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 13.5616 | + | 13.1158i | 1.02224 | + | 0.988639i | ||||
\(177\) | − | 6.24621i | − | 0.469494i | ||||||
\(178\) | 9.36932 | − | 14.1498i | 0.702260 | − | 1.06057i | ||||
\(179\) | − | 10.7575i | − | 0.804052i | −0.915628 | − | 0.402026i | \(-0.868306\pi\) | ||
0.915628 | − | 0.402026i | \(-0.131694\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 15.1231i | 1.12409i | 0.827106 | + | 0.562046i | \(0.189986\pi\) | ||||
−0.827106 | + | 0.562046i | \(0.810014\pi\) | |||||||
\(182\) | −6.95383 | + | 2.76481i | −0.515453 | + | 0.204941i | ||||
\(183\) | 6.04090 | 0.446556 | ||||||||
\(184\) | −3.31534 | + | 17.8324i | −0.244410 | + | 1.31462i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 8.00000 | − | 12.0818i | 0.586588 | − | 0.885880i | ||||
\(187\) | − | 5.29723i | − | 0.387372i | ||||||
\(188\) | 9.36932 | − | 3.97292i | 0.683328 | − | 0.289755i | ||||
\(189\) | 20.4924 | + | 14.2462i | 1.49060 | + | 1.03626i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 16.7984i | − | 1.21549i | −0.794133 | − | 0.607744i | \(-0.792075\pi\) | ||
0.794133 | − | 0.607744i | \(-0.207925\pi\) | |||||||
\(192\) | 8.68466 | − | 22.5490i | 0.626761 | − | 1.62733i | ||||
\(193\) | 22.4924i | 1.61904i | 0.587092 | + | 0.809520i | \(0.300273\pi\) | ||||
−0.587092 | + | 0.809520i | \(0.699727\pi\) | |||||||
\(194\) | 1.32431 | + | 0.876894i | 0.0950797 | + | 0.0629573i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 10.1779 | − | 9.61302i | 0.726994 | − | 0.686644i | ||||
\(197\) | 18.0000i | 1.28245i | 0.767354 | + | 0.641223i | \(0.221573\pi\) | ||||
−0.767354 | + | 0.641223i | \(0.778427\pi\) | |||||||
\(198\) | 22.5490 | − | 34.0540i | 1.60248 | − | 2.42011i | ||||
\(199\) | −26.8122 | −1.90067 | −0.950333 | − | 0.311235i | \(-0.899258\pi\) | ||||
−0.950333 | + | 0.311235i | \(0.899258\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | − | 11.3693i | − | 0.801930i | ||||||
\(202\) | 11.8078 | − | 17.8324i | 0.830791 | − | 1.25468i | ||||
\(203\) | −3.02045 | + | 4.34475i | −0.211994 | + | 0.304942i | ||||
\(204\) | −6.24621 | + | 2.64861i | −0.437322 | + | 0.185440i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −6.04090 | + | 9.12311i | −0.420889 | + | 0.635637i | ||||
\(207\) | 39.2658 | 2.72916 | ||||||||
\(208\) | 5.56155 | − | 5.75058i | 0.385624 | − | 0.398731i | ||||
\(209\) | 22.2462i | 1.53880i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 22.0956i | − | 1.52112i | −0.649265 | − | 0.760562i | \(-0.724923\pi\) | ||
0.649265 | − | 0.760562i | \(-0.275077\pi\) | |||||||
\(212\) | 3.68260 | − | 1.56155i | 0.252922 | − | 0.107248i | ||||
\(213\) | −22.2462 | −1.52429 | ||||||||
\(214\) | 6.68466 | + | 4.42627i | 0.456954 | + | 0.302574i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −26.2316 | − | 4.87689i | −1.78483 | − | 0.331831i | ||||
\(217\) | −5.12311 | + | 7.36932i | −0.347779 | + | 0.500262i | ||||
\(218\) | −8.39919 | − | 5.56155i | −0.568865 | − | 0.376676i | ||||
\(219\) | − | 46.4222i | − | 3.13692i | ||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.24621 | −0.151097 | ||||||||
\(222\) | 7.12311 | + | 4.71659i | 0.478072 | + | 0.316557i | ||||
\(223\) | 20.5625i | 1.37697i | 0.725252 | + | 0.688483i | \(0.241723\pi\) | ||||
−0.725252 | + | 0.688483i | \(0.758277\pi\) | |||||||
\(224\) | −5.69372 | + | 13.8413i | −0.380427 | + | 0.924811i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −14.4384 | + | 21.8053i | −0.960431 | + | 1.45047i | ||||
\(227\) | 3.76412i | 0.249833i | 0.992167 | + | 0.124917i | \(0.0398663\pi\) | ||||
−0.992167 | + | 0.124917i | \(0.960134\pi\) | |||||||
\(228\) | 26.2316 | − | 11.1231i | 1.73723 | − | 0.736646i | ||||
\(229\) | − | 12.8769i | − | 0.850929i | −0.904975 | − | 0.425465i | \(-0.860111\pi\) | ||
0.904975 | − | 0.425465i | \(-0.139889\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −21.5150 | + | 30.9481i | −1.41558 | + | 2.03624i | ||||
\(232\) | 1.03399 | − | 5.56155i | 0.0678846 | − | 0.365134i | ||||
\(233\) | − | 7.75379i | − | 0.507968i | −0.967208 | − | 0.253984i | \(-0.918259\pi\) | ||
0.967208 | − | 0.253984i | \(-0.0817410\pi\) | |||||||
\(234\) | −14.4401 | − | 9.56155i | −0.943978 | − | 0.625058i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −1.61463 | − | 3.80776i | −0.105103 | − | 0.247864i | ||||
\(237\) | −4.00000 | −0.259828 | ||||||||
\(238\) | 3.90495 | − | 1.55259i | 0.253120 | − | 0.100639i | ||||
\(239\) | 3.97292i | 0.256987i | 0.991710 | + | 0.128493i | \(0.0410141\pi\) | ||||
−0.991710 | + | 0.128493i | \(0.958986\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 25.6155i | 1.65004i | 0.565103 | + | 0.825021i | \(0.308837\pi\) | ||||
−0.565103 | + | 0.825021i | \(0.691163\pi\) | |||||||
\(242\) | 13.2609 | + | 8.78078i | 0.852445 | + | 0.564450i | ||||
\(243\) | 2.27678i | 0.146055i | ||||||||
\(244\) | 3.68260 | − | 1.56155i | 0.235754 | − | 0.0999682i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 4.00000 | + | 2.64861i | 0.255031 | + | 0.168869i | ||||
\(247\) | 9.43318 | 0.600219 | ||||||||
\(248\) | 1.75379 | − | 9.43318i | 0.111366 | − | 0.599007i | ||||
\(249\) | −9.12311 | −0.578153 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 16.0547 | 1.01336 | 0.506682 | − | 0.862133i | \(-0.330872\pi\) | ||||
0.506682 | + | 0.862133i | \(0.330872\pi\) | |||||||
\(252\) | 31.7125 | + | 6.64134i | 1.99770 | + | 0.418365i | ||||
\(253\) | 30.2462i | 1.90156i | ||||||||
\(254\) | 20.9309 | + | 13.8594i | 1.31332 | + | 0.869619i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.534565 | − | 15.9911i | −0.0334103 | − | 0.999442i | ||||
\(257\) | −11.3693 | −0.709199 | −0.354599 | − | 0.935018i | \(-0.615383\pi\) | ||||
−0.354599 | + | 0.935018i | \(0.615383\pi\) | |||||||
\(258\) | 0.876894 | − | 1.32431i | 0.0545931 | − | 0.0824477i | ||||
\(259\) | −4.34475 | − | 3.02045i | −0.269970 | − | 0.187682i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −12.2462 | −0.758021 | ||||||||
\(262\) | 20.6847 | + | 13.6964i | 1.27790 | + | 0.846168i | ||||
\(263\) | 18.4945 | 1.14042 | 0.570211 | − | 0.821499i | \(-0.306862\pi\) | ||||
0.570211 | + | 0.821499i | \(0.306862\pi\) | |||||||
\(264\) | 7.36520 | − | 39.6155i | 0.453297 | − | 2.43817i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −16.3992 | + | 6.52024i | −1.00550 | + | 0.399781i | ||||
\(267\) | −36.2454 | −2.21818 | ||||||||
\(268\) | −2.93893 | − | 6.93087i | −0.179524 | − | 0.423370i | ||||
\(269\) | − | 0.246211i | − | 0.0150118i | −0.999972 | − | 0.00750588i | \(-0.997611\pi\) | ||
0.999972 | − | 0.00750588i | \(-0.00238922\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.90495 | −0.115717 | −0.0578586 | − | 0.998325i | \(-0.518427\pi\) | ||||
−0.0578586 | + | 0.998325i | \(0.518427\pi\) | |||||||
\(272\) | −3.12311 | + | 3.22925i | −0.189366 | + | 0.195802i | ||||
\(273\) | 13.1231 | + | 9.12311i | 0.794246 | + | 0.552155i | ||||
\(274\) | −10.9309 | + | 16.5081i | −0.660358 | + | 0.997288i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 35.6647 | − | 15.1231i | 2.14676 | − | 0.910304i | ||||
\(277\) | 12.2462i | 0.735804i | 0.929865 | + | 0.367902i | \(0.119924\pi\) | ||||
−0.929865 | + | 0.367902i | \(0.880076\pi\) | |||||||
\(278\) | −19.8078 | − | 13.1158i | −1.18799 | − | 0.786632i | ||||
\(279\) | −20.7713 | −1.24355 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −29.3693 | −1.75203 | −0.876013 | − | 0.482287i | \(-0.839806\pi\) | ||||
−0.876013 | + | 0.482287i | \(0.839806\pi\) | |||||||
\(282\) | −18.1227 | − | 12.0000i | −1.07919 | − | 0.714590i | ||||
\(283\) | − | 4.92539i | − | 0.292784i | −0.989227 | − | 0.146392i | \(-0.953234\pi\) | ||
0.989227 | − | 0.146392i | \(-0.0467661\pi\) | |||||||
\(284\) | −13.5616 | + | 5.75058i | −0.804730 | + | 0.341234i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.36520 | − | 11.1231i | 0.435514 | − | 0.657723i | ||||
\(287\) | −2.43981 | − | 1.69614i | −0.144017 | − | 0.100120i | ||||
\(288\) | −33.8234 | + | 7.46543i | −1.99307 | + | 0.439905i | ||||
\(289\) | −15.7386 | −0.925802 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − | 3.39228i | − | 0.198859i | ||||||
\(292\) | −12.0000 | − | 28.2995i | −0.702247 | − | 1.65610i | ||||
\(293\) | 15.7538 | 0.920346 | 0.460173 | − | 0.887829i | \(-0.347787\pi\) | ||||
0.460173 | + | 0.887829i | \(0.347787\pi\) | |||||||
\(294\) | −29.1199 | − | 6.78942i | −1.69831 | − | 0.395967i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 5.56155 | + | 1.03399i | 0.323259 | + | 0.0600993i | ||||
\(297\) | −44.4924 | −2.58171 | ||||||||
\(298\) | 6.33122 | + | 4.19224i | 0.366757 | + | 0.242850i | ||||
\(299\) | 12.8255 | 0.741715 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.561553 | + | 0.807764i | −0.0323674 | + | 0.0465587i | ||||
\(302\) | 7.81855 | − | 11.8078i | 0.449907 | − | 0.679460i | ||||
\(303\) | −45.6786 | −2.62416 | ||||||||
\(304\) | 13.1158 | − | 13.5616i | 0.752242 | − | 0.777808i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 8.10887 | + | 5.36932i | 0.463553 | + | 0.306943i | ||||
\(307\) | − | 1.53311i | − | 0.0874993i | −0.999043 | − | 0.0437496i | \(-0.986070\pi\) | ||
0.999043 | − | 0.0437496i | \(-0.0139304\pi\) | |||||||
\(308\) | −5.11578 | + | 24.4279i | −0.291499 | + | 1.39191i | ||||
\(309\) | 23.3693 | 1.32943 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −30.2045 | −1.71274 | −0.856369 | − | 0.516364i | \(-0.827285\pi\) | ||||
−0.856369 | + | 0.516364i | \(0.827285\pi\) | |||||||
\(312\) | −16.7984 | − | 3.12311i | −0.951021 | − | 0.176811i | ||||
\(313\) | −33.6155 | −1.90006 | −0.950031 | − | 0.312156i | \(-0.898949\pi\) | ||||
−0.950031 | + | 0.312156i | \(0.898949\pi\) | |||||||
\(314\) | 0.290319 | + | 0.192236i | 0.0163837 | + | 0.0108485i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.43845 | + | 1.03399i | −0.137173 | + | 0.0581663i | ||||
\(317\) | 12.2462i | 0.687816i | 0.939003 | + | 0.343908i | \(0.111751\pi\) | ||||
−0.939003 | + | 0.343908i | \(0.888249\pi\) | |||||||
\(318\) | −7.12311 | − | 4.71659i | −0.399444 | − | 0.264493i | ||||
\(319\) | − | 9.43318i | − | 0.528157i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 17.1231i | − | 0.955719i | ||||||
\(322\) | −22.2965 | + | 8.86499i | −1.24254 | + | 0.494027i | ||||
\(323\) | −5.29723 | −0.294746 | ||||||||
\(324\) | 7.90388 | + | 18.6397i | 0.439105 | + | 1.03554i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 3.56155 | + | 2.35829i | 0.197256 | + | 0.130614i | ||||
\(327\) | 21.5150i | 1.18978i | ||||||||
\(328\) | 3.12311 | + | 0.580639i | 0.172445 | + | 0.0320604i | ||||
\(329\) | 11.0540 | + | 7.68466i | 0.609425 | + | 0.423669i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 18.2857i | − | 1.00507i | −0.864556 | − | 0.502537i | \(-0.832400\pi\) | ||
0.864556 | − | 0.502537i | \(-0.167600\pi\) | |||||||
\(332\) | −5.56155 | + | 2.35829i | −0.305230 | + | 0.129428i | ||||
\(333\) | − | 12.2462i | − | 0.671088i | ||||||
\(334\) | 15.4741 | − | 23.3693i | 0.846704 | − | 1.27871i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 31.3620 | − | 6.18170i | 1.71094 | − | 0.337239i | ||||
\(337\) | − | 12.2462i | − | 0.667094i | −0.942734 | − | 0.333547i | \(-0.891754\pi\) | ||
0.942734 | − | 0.333547i | \(-0.108246\pi\) | |||||||
\(338\) | 10.6123 | + | 7.02699i | 0.577234 | + | 0.382218i | ||||
\(339\) | 55.8554 | 3.03365 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 16.0000i | − | 0.866449i | ||||||
\(342\) | −34.0540 | − | 22.5490i | −1.84143 | − | 1.21931i | ||||
\(343\) | 17.9368 | + | 4.61219i | 0.968495 | + | 0.249035i | ||||
\(344\) | 0.192236 | − | 1.03399i | 0.0103647 | − | 0.0557489i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −19.1567 | − | 12.6847i | −1.02987 | − | 0.681931i | ||||
\(347\) | −5.66906 | −0.304331 | −0.152166 | − | 0.988355i | \(-0.548625\pi\) | ||||
−0.152166 | + | 0.988355i | \(0.548625\pi\) | |||||||
\(348\) | −11.1231 | + | 4.71659i | −0.596261 | + | 0.252836i | ||||
\(349\) | 29.8617i | 1.59846i | 0.601024 | + | 0.799231i | \(0.294760\pi\) | ||||
−0.601024 | + | 0.799231i | \(0.705240\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 18.8664i | 1.00701i | ||||||||
\(352\) | −5.75058 | − | 26.0540i | −0.306507 | − | 1.38868i | ||||
\(353\) | 19.3693 | 1.03092 | 0.515462 | − | 0.856912i | \(-0.327620\pi\) | ||||
0.515462 | + | 0.856912i | \(0.327620\pi\) | |||||||
\(354\) | −4.87689 | + | 7.36520i | −0.259204 | + | 0.391456i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −22.0956 | + | 9.36932i | −1.17106 | + | 0.496573i | ||||
\(357\) | −7.36932 | − | 5.12311i | −0.390026 | − | 0.271144i | ||||
\(358\) | −8.39919 | + | 12.6847i | −0.443911 | + | 0.670405i | ||||
\(359\) | 16.0547i | 0.847335i | 0.905818 | + | 0.423668i | \(0.139258\pi\) | ||||
−0.905818 | + | 0.423668i | \(0.860742\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.24621 | 0.170853 | ||||||||
\(362\) | 11.8078 | − | 17.8324i | 0.620602 | − | 0.937248i | ||||
\(363\) | − | 33.9686i | − | 1.78289i | ||||||
\(364\) | 10.3583 | + | 2.16927i | 0.542922 | + | 0.113701i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −7.12311 | − | 4.71659i | −0.372331 | − | 0.246540i | ||||
\(367\) | 10.3857i | 0.542127i | 0.962562 | + | 0.271063i | \(0.0873753\pi\) | ||||
−0.962562 | + | 0.271063i | \(0.912625\pi\) | |||||||
\(368\) | 17.8324 | − | 18.4384i | 0.929576 | − | 0.961171i | ||||
\(369\) | − | 6.87689i | − | 0.357997i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 4.34475 | + | 3.02045i | 0.225568 | + | 0.156814i | ||||
\(372\) | −18.8664 | + | 8.00000i | −0.978175 | + | 0.414781i | ||||
\(373\) | 10.4924i | 0.543277i | 0.962399 | + | 0.271639i | \(0.0875655\pi\) | ||||
−0.962399 | + | 0.271639i | \(0.912434\pi\) | |||||||
\(374\) | −4.13595 | + | 6.24621i | −0.213865 | + | 0.322984i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −14.1498 | − | 2.63068i | −0.729719 | − | 0.135667i | ||||
\(377\) | −4.00000 | −0.206010 | ||||||||
\(378\) | −13.0405 | − | 32.7984i | −0.670730 | − | 1.68697i | ||||
\(379\) | 14.8934i | 0.765024i | 0.923950 | + | 0.382512i | \(0.124941\pi\) | ||||
−0.923950 | + | 0.382512i | \(0.875059\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − | 53.6155i | − | 2.74681i | ||||||
\(382\) | −13.1158 | + | 19.8078i | −0.671062 | + | 1.01345i | ||||
\(383\) | − | 19.0752i | − | 0.974695i | −0.873208 | − | 0.487348i | \(-0.837964\pi\) | ||
0.873208 | − | 0.487348i | \(-0.162036\pi\) | |||||||
\(384\) | −27.8462 | + | 19.8078i | −1.42102 | + | 1.01081i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 17.5616 | − | 26.5219i | 0.893860 | − | 1.34993i | ||||
\(387\) | −2.27678 | −0.115735 | ||||||||
\(388\) | −0.876894 | − | 2.06798i | −0.0445176 | − | 0.104986i | ||||
\(389\) | 7.12311 | 0.361156 | 0.180578 | − | 0.983561i | \(-0.442203\pi\) | ||||
0.180578 | + | 0.983561i | \(0.442203\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −7.20217 | −0.364230 | ||||||||
\(392\) | −19.5069 | + | 3.38849i | −0.985246 | + | 0.171145i | ||||
\(393\) | − | 52.9848i | − | 2.67273i | ||||||
\(394\) | 14.0540 | − | 21.2247i | 0.708029 | − | 1.06928i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −53.1771 | + | 22.5490i | −2.67225 | + | 1.13313i | ||||
\(397\) | −14.0000 | −0.702640 | −0.351320 | − | 0.936255i | \(-0.614267\pi\) | ||||
−0.351320 | + | 0.936255i | \(0.614267\pi\) | |||||||
\(398\) | 31.6155 | + | 20.9343i | 1.58474 | + | 1.04934i | ||||
\(399\) | 30.9481 | + | 21.5150i | 1.54935 | + | 1.07710i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 6.00000 | 0.299626 | 0.149813 | − | 0.988714i | \(-0.452133\pi\) | ||||
0.149813 | + | 0.988714i | \(0.452133\pi\) | |||||||
\(402\) | −8.87689 | + | 13.4061i | −0.442739 | + | 0.668635i | ||||
\(403\) | −6.78456 | −0.337963 | ||||||||
\(404\) | −27.8462 | + | 11.8078i | −1.38540 | + | 0.587458i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.95383 | − | 2.76481i | 0.345113 | − | 0.137215i | ||||
\(407\) | 9.43318 | 0.467585 | ||||||||
\(408\) | 9.43318 | + | 1.75379i | 0.467012 | + | 0.0868255i | ||||
\(409\) | − | 17.1231i | − | 0.846683i | −0.905970 | − | 0.423342i | \(-0.860857\pi\) | ||
0.905970 | − | 0.423342i | \(-0.139143\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 42.2863 | 2.08583 | ||||||||
\(412\) | 14.2462 | − | 6.04090i | 0.701860 | − | 0.297614i | ||||
\(413\) | 3.12311 | − | 4.49242i | 0.153678 | − | 0.221058i | ||||
\(414\) | −46.3002 | − | 30.6578i | −2.27553 | − | 1.50675i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −11.0478 | + | 2.43845i | −0.541663 | + | 0.119555i | ||||
\(417\) | 50.7386i | 2.48468i | ||||||||
\(418\) | 17.3693 | − | 26.2316i | 0.849561 | − | 1.28303i | ||||
\(419\) | −23.5829 | −1.15210 | −0.576051 | − | 0.817414i | \(-0.695407\pi\) | ||||
−0.576051 | + | 0.817414i | \(0.695407\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 23.6155 | 1.15095 | 0.575475 | − | 0.817819i | \(-0.304817\pi\) | ||||
0.575475 | + | 0.817819i | \(0.304817\pi\) | |||||||
\(422\) | −17.2517 | + | 26.0540i | −0.839801 | + | 1.26829i | ||||
\(423\) | 31.1570i | 1.51490i | ||||||||
\(424\) | −5.56155 | − | 1.03399i | −0.270093 | − | 0.0502149i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 26.2316 | + | 17.3693i | 1.27092 | + | 0.841546i | ||||
\(427\) | 4.34475 | + | 3.02045i | 0.210257 | + | 0.146170i | ||||
\(428\) | −4.42627 | − | 10.4384i | −0.213952 | − | 0.504561i | ||||
\(429\) | −28.4924 | −1.37563 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 5.87787i | − | 0.283127i | −0.989929 | − | 0.141563i | \(-0.954787\pi\) | ||
0.989929 | − | 0.141563i | \(-0.0452129\pi\) | |||||||
\(432\) | 27.1231 | + | 26.2316i | 1.30496 | + | 1.26207i | ||||
\(433\) | −29.6155 | −1.42323 | −0.711616 | − | 0.702569i | \(-0.752036\pi\) | ||||
−0.711616 | + | 0.702569i | \(0.752036\pi\) | |||||||
\(434\) | 11.7947 | − | 4.68951i | 0.566163 | − | 0.225104i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 5.56155 | + | 13.1158i | 0.266350 | + | 0.628132i | ||||
\(437\) | 30.2462 | 1.44687 | ||||||||
\(438\) | −36.2454 | + | 54.7386i | −1.73187 | + | 2.61551i | ||||
\(439\) | 16.2177 | 0.774031 | 0.387015 | − | 0.922073i | \(-0.373506\pi\) | ||||
0.387015 | + | 0.922073i | \(0.373506\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 14.9309 | + | 40.1771i | 0.710994 | + | 1.91319i | ||||
\(442\) | 2.64861 | + | 1.75379i | 0.125982 | + | 0.0834192i | ||||
\(443\) | 23.0481 | 1.09505 | 0.547524 | − | 0.836790i | \(-0.315571\pi\) | ||||
0.547524 | + | 0.836790i | \(0.315571\pi\) | |||||||
\(444\) | −4.71659 | − | 11.1231i | −0.223839 | − | 0.527879i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 16.0547 | − | 24.2462i | 0.760213 | − | 1.14809i | ||||
\(447\) | − | 16.2177i | − | 0.767073i | ||||||
\(448\) | 17.5207 | − | 11.8754i | 0.827775 | − | 0.561061i | ||||
\(449\) | 15.6155 | 0.736942 | 0.368471 | − | 0.929639i | \(-0.379881\pi\) | ||||
0.368471 | + | 0.929639i | \(0.379881\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.29723 | 0.249437 | ||||||||
\(452\) | 34.0501 | − | 14.4384i | 1.60158 | − | 0.679127i | ||||
\(453\) | −30.2462 | −1.42109 | ||||||||
\(454\) | 2.93893 | − | 4.43845i | 0.137931 | − | 0.208307i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −39.6155 | − | 7.36520i | −1.85517 | − | 0.344907i | ||||
\(457\) | 6.00000i | 0.280668i | 0.990104 | + | 0.140334i | \(0.0448177\pi\) | ||||
−0.990104 | + | 0.140334i | \(0.955182\pi\) | |||||||
\(458\) | −10.0540 | + | 15.1838i | −0.469791 | + | 0.709490i | ||||
\(459\) | − | 10.5945i | − | 0.494507i | ||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 3.61553i | − | 0.168392i | −0.996449 | − | 0.0841960i | \(-0.973168\pi\) | ||
0.996449 | − | 0.0841960i | \(-0.0268322\pi\) | |||||||
\(462\) | 49.5329 | − | 19.6940i | 2.30448 | − | 0.916250i | ||||
\(463\) | 28.6714 | 1.33247 | 0.666236 | − | 0.745741i | \(-0.267904\pi\) | ||||
0.666236 | + | 0.745741i | \(0.267904\pi\) | |||||||
\(464\) | −5.56155 | + | 5.75058i | −0.258189 | + | 0.266964i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −6.05398 | + | 9.14286i | −0.280445 | + | 0.423535i | ||||
\(467\) | − | 18.4945i | − | 0.855824i | −0.903820 | − | 0.427912i | \(-0.859249\pi\) | ||
0.903820 | − | 0.427912i | \(-0.140751\pi\) | |||||||
\(468\) | 9.56155 | + | 22.5490i | 0.441983 | + | 1.04233i | ||||
\(469\) | 5.68466 | − | 8.17708i | 0.262493 | − | 0.377583i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | − | 0.743668i | − | 0.0342664i | ||||||
\(472\) | −1.06913 | + | 5.75058i | −0.0492107 | + | 0.264692i | ||||
\(473\) | − | 1.75379i | − | 0.0806393i | ||||||
\(474\) | 4.71659 | + | 3.12311i | 0.216640 | + | 0.143449i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −5.81673 | − | 1.21816i | −0.266609 | − | 0.0558343i | ||||
\(477\) | 12.2462i | 0.560715i | ||||||||
\(478\) | 3.10196 | − | 4.68466i | 0.141880 | − | 0.214271i | ||||
\(479\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 4.00000i | − | 0.182384i | ||||||
\(482\) | 20.0000 | − | 30.2045i | 0.910975 | − | 1.37578i | ||||
\(483\) | 42.0775 | + | 29.2520i | 1.91459 | + | 1.33101i | ||||
\(484\) | −8.78078 | − | 20.7077i | −0.399126 | − | 0.941257i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 1.77766 | − | 2.68466i | 0.0806361 | − | 0.121779i | ||||
\(487\) | 13.1973 | 0.598026 | 0.299013 | − | 0.954249i | \(-0.403343\pi\) | ||||
0.299013 | + | 0.954249i | \(0.403343\pi\) | |||||||
\(488\) | −5.56155 | − | 1.03399i | −0.251760 | − | 0.0468064i | ||||
\(489\) | − | 9.12311i | − | 0.412561i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 31.5288i | 1.42287i | 0.702750 | + | 0.711437i | \(0.251955\pi\) | ||||
−0.702750 | + | 0.711437i | \(0.748045\pi\) | |||||||
\(492\) | −2.64861 | − | 6.24621i | −0.119409 | − | 0.281601i | ||||
\(493\) | 2.24621 | 0.101164 | ||||||||
\(494\) | −11.1231 | − | 7.36520i | −0.500452 | − | 0.331376i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −9.43318 | + | 9.75379i | −0.423562 | + | 0.437958i | ||||
\(497\) | −16.0000 | − | 11.1231i | −0.717698 | − | 0.498939i | ||||
\(498\) | 10.7575 | + | 7.12311i | 0.482054 | + | 0.319194i | ||||
\(499\) | − | 24.3266i | − | 1.08901i | −0.838758 | − | 0.544504i | \(-0.816718\pi\) | ||
0.838758 | − | 0.544504i | \(-0.183282\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −59.8617 | −2.67443 | ||||||||
\(502\) | −18.9309 | − | 12.5351i | −0.844926 | − | 0.559471i | ||||
\(503\) | − | 17.9139i | − | 0.798741i | −0.916790 | − | 0.399370i | \(-0.869229\pi\) | ||
0.916790 | − | 0.399370i | \(-0.130771\pi\) | |||||||
\(504\) | −32.2083 | − | 32.5915i | −1.43467 | − | 1.45174i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 23.6155 | − | 35.6647i | 1.04984 | − | 1.58549i | ||||
\(507\) | − | 27.1840i | − | 1.20729i | ||||||
\(508\) | −13.8594 | − | 32.6847i | −0.614914 | − | 1.45015i | ||||
\(509\) | − | 23.6155i | − | 1.04674i | −0.852106 | − | 0.523370i | \(-0.824675\pi\) | ||
0.852106 | − | 0.523370i | \(-0.175325\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 23.2111 | − | 33.3880i | 1.02680 | − | 1.47700i | ||||
\(512\) | −11.8551 | + | 19.2732i | −0.523927 | + | 0.851763i | ||||
\(513\) | 44.4924i | 1.96439i | ||||||||
\(514\) | 13.4061 | + | 8.87689i | 0.591318 | + | 0.391543i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −2.06798 | + | 0.876894i | −0.0910375 | + | 0.0386031i | ||||
\(517\) | −24.0000 | −1.05552 | ||||||||
\(518\) | 2.76481 | + | 6.95383i | 0.121479 | + | 0.305534i | ||||
\(519\) | 49.0708i | 2.15397i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 9.75379i | 0.427321i | 0.976908 | + | 0.213661i | \(0.0685387\pi\) | ||||
−0.976908 | + | 0.213661i | \(0.931461\pi\) | |||||||
\(522\) | 14.4401 | + | 9.56155i | 0.632025 | + | 0.418498i | ||||
\(523\) | 19.2382i | 0.841227i | 0.907240 | + | 0.420614i | \(0.138185\pi\) | ||||
−0.907240 | + | 0.420614i | \(0.861815\pi\) | |||||||
\(524\) | −13.6964 | − | 32.3002i | −0.598331 | − | 1.41104i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −21.8078 | − | 14.4401i | −0.950864 | − | 0.629618i | ||||
\(527\) | 3.80989 | 0.165961 | ||||||||
\(528\) | −39.6155 | + | 40.9620i | −1.72404 | + | 1.78264i | ||||
\(529\) | 18.1231 | 0.787961 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 12.6624 | 0.549503 | ||||||||
\(532\) | 24.4279 | + | 5.11578i | 1.05908 | + | 0.221797i | ||||
\(533\) | − | 2.24621i | − | 0.0972942i | ||||||
\(534\) | 42.7386 | + | 28.2995i | 1.84948 | + | 1.22464i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −1.94602 | + | 10.4672i | −0.0840555 | + | 0.452113i | ||||
\(537\) | 32.4924 | 1.40215 | ||||||||
\(538\) | −0.192236 | + | 0.290319i | −0.00828788 | + | 0.0125166i | ||||
\(539\) | −30.9481 | + | 11.5012i | −1.33303 | + | 0.495390i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 30.0000 | 1.28980 | 0.644900 | − | 0.764267i | \(-0.276899\pi\) | ||||
0.644900 | + | 0.764267i | \(0.276899\pi\) | |||||||
\(542\) | 2.24621 | + | 1.48734i | 0.0964830 | + | 0.0638866i | ||||
\(543\) | −45.6786 | −1.96025 | ||||||||
\(544\) | 6.20393 | − | 1.36932i | 0.265991 | − | 0.0587090i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −8.35097 | − | 21.0037i | −0.357388 | − | 0.898875i | ||||
\(547\) | 30.5763 | 1.30735 | 0.653674 | − | 0.756776i | \(-0.273227\pi\) | ||||
0.653674 | + | 0.756776i | \(0.273227\pi\) | |||||||
\(548\) | 25.7782 | − | 10.9309i | 1.10119 | − | 0.466944i | ||||
\(549\) | 12.2462i | 0.522656i | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −9.43318 | −0.401867 | ||||||||
\(552\) | −53.8617 | − | 10.0138i | −2.29251 | − | 0.426216i | ||||
\(553\) | −2.87689 | − | 2.00000i | −0.122338 | − | 0.0850487i | ||||
\(554\) | 9.56155 | − | 14.4401i | 0.406231 | − | 0.613500i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 13.1158 | + | 30.9309i | 0.556233 | + | 1.31176i | ||||
\(557\) | − | 26.4924i | − | 1.12252i | −0.827640 | − | 0.561260i | \(-0.810317\pi\) | ||
0.827640 | − | 0.561260i | \(-0.189683\pi\) | |||||||
\(558\) | 24.4924 | + | 16.2177i | 1.03685 | + | 0.686552i | ||||
\(559\) | −0.743668 | −0.0314538 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 16.0000 | 0.675521 | ||||||||
\(562\) | 34.6307 | + | 22.9309i | 1.46081 | + | 0.967280i | ||||
\(563\) | − | 38.1045i | − | 1.60592i | −0.596036 | − | 0.802958i | \(-0.703259\pi\) | ||
0.596036 | − | 0.802958i | \(-0.296741\pi\) | |||||||
\(564\) | 12.0000 | + | 28.2995i | 0.505291 | + | 1.19163i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −3.84563 | + | 5.80776i | −0.161644 | + | 0.244119i | ||||
\(567\) | −15.2882 | + | 21.9912i | −0.642042 | + | 0.923544i | ||||
\(568\) | 20.4810 | + | 3.80776i | 0.859363 | + | 0.159770i | ||||
\(569\) | 28.8769 | 1.21058 | 0.605291 | − | 0.796004i | \(-0.293057\pi\) | ||||
0.605291 | + | 0.796004i | \(0.293057\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 3.22925i | − | 0.135140i | −0.997715 | − | 0.0675700i | \(-0.978475\pi\) | ||
0.997715 | − | 0.0675700i | \(-0.0215246\pi\) | |||||||
\(572\) | −17.3693 | + | 7.36520i | −0.726248 | + | 0.307955i | ||||
\(573\) | 50.7386 | 2.11964 | ||||||||
\(574\) | 1.55259 | + | 3.90495i | 0.0648037 | + | 0.162989i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 45.7116 | + | 17.6057i | 1.90465 | + | 0.733571i | ||||
\(577\) | 45.6155 | 1.89900 | 0.949500 | − | 0.313768i | \(-0.101591\pi\) | ||||
0.949500 | + | 0.313768i | \(0.101591\pi\) | |||||||
\(578\) | 18.5582 | + | 12.2884i | 0.771918 | + | 0.511128i | ||||
\(579\) | −67.9372 | −2.82337 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −6.56155 | − | 4.56155i | −0.272219 | − | 0.189245i | ||||
\(582\) | −2.64861 | + | 4.00000i | −0.109789 | + | 0.165805i | ||||
\(583\) | −9.43318 | −0.390682 | ||||||||
\(584\) | −7.94584 | + | 42.7386i | −0.328801 | + | 1.76854i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −18.5760 | − | 12.3002i | −0.767369 | − | 0.508116i | ||||
\(587\) | 21.8868i | 0.903365i | 0.892179 | + | 0.451683i | \(0.149176\pi\) | ||||
−0.892179 | + | 0.451683i | \(0.850824\pi\) | |||||||
\(588\) | 29.0356 | + | 30.7418i | 1.19741 | + | 1.26777i | ||||
\(589\) | −16.0000 | −0.659269 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −54.3681 | −2.23640 | ||||||||
\(592\) | −5.75058 | − | 5.56155i | −0.236347 | − | 0.228578i | ||||
\(593\) | 11.3693 | 0.466882 | 0.233441 | − | 0.972371i | \(-0.425001\pi\) | ||||
0.233441 | + | 0.972371i | \(0.425001\pi\) | |||||||
\(594\) | 52.4631 | + | 34.7386i | 2.15259 | + | 1.42534i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −4.19224 | − | 9.88653i | −0.171721 | − | 0.404968i | ||||
\(597\) | − | 80.9848i | − | 3.31449i | ||||||
\(598\) | −15.1231 | − | 10.0138i | −0.618430 | − | 0.409495i | ||||
\(599\) | − | 29.6238i | − | 1.21040i | −0.796074 | − | 0.605199i | \(-0.793094\pi\) | ||
0.796074 | − | 0.605199i | \(-0.206906\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 17.1231i | − | 0.698466i | −0.937036 | − | 0.349233i | \(-0.886442\pi\) | ||
0.937036 | − | 0.349233i | \(-0.113558\pi\) | |||||||
\(602\) | 1.29284 | − | 0.514026i | 0.0526921 | − | 0.0209501i | ||||
\(603\) | 23.0481 | 0.938590 | ||||||||
\(604\) | −18.4384 | + | 7.81855i | −0.750250 | + | 0.318132i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 53.8617 | + | 35.6647i | 2.18798 | + | 1.44878i | ||||
\(607\) | 37.9415i | 1.54000i | 0.638045 | + | 0.769999i | \(0.279743\pi\) | ||||
−0.638045 | + | 0.769999i | \(0.720257\pi\) | |||||||
\(608\) | −26.0540 | + | 5.75058i | −1.05663 | + | 0.233217i | ||||
\(609\) | −13.1231 | − | 9.12311i | −0.531775 | − | 0.369687i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 10.1768i | 0.411711i | ||||||||
\(612\) | −5.36932 | − | 12.6624i | −0.217042 | − | 0.511848i | ||||
\(613\) | − | 28.2462i | − | 1.14085i | −0.821348 | − | 0.570427i | \(-0.806778\pi\) | ||
0.821348 | − | 0.570427i | \(-0.193222\pi\) | |||||||
\(614\) | −1.19702 | + | 1.80776i | −0.0483077 | + | 0.0729554i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 25.1050 | − | 24.8098i | 1.01151 | − | 0.999616i | ||||
\(617\) | − | 26.0000i | − | 1.04672i | −0.852111 | − | 0.523360i | \(-0.824678\pi\) | ||
0.852111 | − | 0.523360i | \(-0.175322\pi\) | |||||||
\(618\) | −27.5559 | − | 18.2462i | −1.10846 | − | 0.733970i | ||||
\(619\) | 20.6083 | 0.828316 | 0.414158 | − | 0.910205i | \(-0.364076\pi\) | ||||
0.414158 | + | 0.910205i | \(0.364076\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 60.4924i | 2.42748i | ||||||||
\(622\) | 35.6155 | + | 23.5829i | 1.42805 | + | 0.945590i | ||||
\(623\) | −26.0685 | − | 18.1227i | −1.04441 | − | 0.726070i | ||||
\(624\) | 17.3693 | + | 16.7984i | 0.695329 | + | 0.672473i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 39.6377 | + | 26.2462i | 1.58424 | + | 1.04901i | ||||
\(627\) | −67.1935 | −2.68345 | ||||||||
\(628\) | −0.192236 | − | 0.453349i | −0.00767105 | − | 0.0180906i | ||||
\(629\) | 2.24621i | 0.0895623i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 14.1498i | 0.563293i | 0.959518 | + | 0.281647i | \(0.0908806\pi\) | ||||
−0.959518 | + | 0.281647i | \(0.909119\pi\) | |||||||
\(632\) | 3.68260 | + | 0.684658i | 0.146486 | + | 0.0272343i | ||||
\(633\) | 66.7386 | 2.65262 | ||||||||
\(634\) | 9.56155 | − | 14.4401i | 0.379738 | − | 0.573489i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 4.71659 | + | 11.1231i | 0.187025 | + | 0.441060i | ||||
\(637\) | 4.87689 | + | 13.1231i | 0.193230 | + | 0.519956i | ||||
\(638\) | −7.36520 | + | 11.1231i | −0.291591 | + | 0.440368i | ||||
\(639\) | − | 45.0979i | − | 1.78405i | ||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −7.12311 | −0.281346 | −0.140673 | − | 0.990056i | \(-0.544927\pi\) | ||||
−0.140673 | + | 0.990056i | \(0.544927\pi\) | |||||||
\(642\) | −13.3693 | + | 20.1907i | −0.527645 | + | 0.796862i | ||||
\(643\) | 33.9686i | 1.33959i | 0.742546 | + | 0.669795i | \(0.233618\pi\) | ||||
−0.742546 | + | 0.669795i | \(0.766382\pi\) | |||||||
\(644\) | 33.2125 | + | 6.95547i | 1.30875 | + | 0.274084i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 6.24621 | + | 4.13595i | 0.245754 | + | 0.162727i | ||||
\(647\) | − | 40.1725i | − | 1.57934i | −0.613529 | − | 0.789672i | \(-0.710251\pi\) | ||
0.613529 | − | 0.789672i | \(-0.289749\pi\) | |||||||
\(648\) | 5.23358 | − | 28.1501i | 0.205595 | − | 1.10584i | ||||
\(649\) | 9.75379i | 0.382870i | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −22.2586 | − | 15.4741i | −0.872385 | − | 0.606477i | ||||
\(652\) | −2.35829 | − | 5.56155i | −0.0923579 | − | 0.217807i | ||||
\(653\) | 22.9848i | 0.899466i | 0.893163 | + | 0.449733i | \(0.148481\pi\) | ||||
−0.893163 | + | 0.449733i | \(0.851519\pi\) | |||||||
\(654\) | 16.7984 | − | 25.3693i | 0.656869 | − | 0.992019i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −3.22925 | − | 3.12311i | −0.126081 | − | 0.121937i | ||||
\(657\) | 94.1080 | 3.67150 | ||||||||
\(658\) | −7.03426 | − | 17.6920i | −0.274224 | − | 0.689707i | ||||
\(659\) | 1.32431i | 0.0515877i | 0.999667 | + | 0.0257938i | \(0.00821134\pi\) | ||||
−0.999667 | + | 0.0257938i | \(0.991789\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.2462i | 0.476322i | 0.971226 | + | 0.238161i | \(0.0765447\pi\) | ||||
−0.971226 | + | 0.238161i | \(0.923455\pi\) | |||||||
\(662\) | −14.2771 | + | 21.5616i | −0.554894 | + | 0.838014i | ||||
\(663\) | − | 6.78456i | − | 0.263491i | ||||||
\(664\) | 8.39919 | + | 1.56155i | 0.325952 | + | 0.0606000i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −9.56155 | + | 14.4401i | −0.370503 | + | 0.559542i | ||||
\(667\) | −12.8255 | −0.496604 | ||||||||
\(668\) | −36.4924 | + | 15.4741i | −1.41193 | + | 0.598710i | ||||
\(669\) | −62.1080 | −2.40123 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −9.43318 | −0.364164 | ||||||||
\(672\) | −41.8069 | − | 17.1976i | −1.61274 | − | 0.663411i | ||||
\(673\) | 14.0000i | 0.539660i | 0.962908 | + | 0.269830i | \(0.0869676\pi\) | ||||
−0.962908 | + | 0.269830i | \(0.913032\pi\) | |||||||
\(674\) | −9.56155 | + | 14.4401i | −0.368297 | + | 0.556211i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.02699 | − | 16.5717i | −0.270269 | − | 0.637373i | ||||
\(677\) | −32.7386 | −1.25825 | −0.629124 | − | 0.777305i | \(-0.716586\pi\) | ||||
−0.629124 | + | 0.777305i | \(0.716586\pi\) | |||||||
\(678\) | −65.8617 | − | 43.6106i | −2.52940 | − | 1.67485i | ||||
\(679\) | 1.69614 | − | 2.43981i | 0.0650919 | − | 0.0936313i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −11.3693 | −0.435673 | ||||||||
\(682\) | −12.4924 | + | 18.8664i | −0.478360 | + | 0.722430i | ||||
\(683\) | 0.371834 | 0.0142278 | 0.00711392 | − | 0.999975i | \(-0.497736\pi\) | ||||
0.00711392 | + | 0.999975i | \(0.497736\pi\) | |||||||
\(684\) | 22.5490 | + | 53.1771i | 0.862181 | + | 2.03328i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −17.5490 | − | 19.4431i | −0.670024 | − | 0.742339i | ||||
\(687\) | 38.8940 | 1.48390 | ||||||||
\(688\) | −1.03399 | + | 1.06913i | −0.0394204 | + | 0.0407602i | ||||
\(689\) | 4.00000i | 0.152388i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 14.8934 | 0.566573 | 0.283286 | − | 0.959035i | \(-0.408575\pi\) | ||||
0.283286 | + | 0.959035i | \(0.408575\pi\) | |||||||
\(692\) | 12.6847 | + | 29.9142i | 0.482198 | + | 1.13717i | ||||
\(693\) | −62.7386 | − | 43.6155i | −2.38324 | − | 1.65682i | ||||
\(694\) | 6.68466 | + | 4.42627i | 0.253746 | + | 0.168019i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 16.7984 | + | 3.12311i | 0.636741 | + | 0.118381i | ||||
\(697\) | 1.26137i | 0.0477777i | ||||||||
\(698\) | 23.3153 | − | 35.2114i | 0.882499 | − | 1.33277i | ||||
\(699\) | 23.4199 | 0.885823 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 11.1231 | 0.420114 | 0.210057 | − | 0.977689i | \(-0.432635\pi\) | ||||
0.210057 | + | 0.977689i | \(0.432635\pi\) | |||||||
\(702\) | 14.7304 | − | 22.2462i | 0.555963 | − | 0.839629i | ||||
\(703\) | − | 9.43318i | − | 0.355779i | ||||||
\(704\) | −13.5616 | + | 35.2114i | −0.511120 | + | 1.32708i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −22.8393 | − | 15.1231i | −0.859568 | − | 0.569166i | ||||
\(707\) | −32.8531 | − | 22.8393i | −1.23557 | − | 0.858959i | ||||
\(708\) | 11.5012 | − | 4.87689i | 0.432240 | − | 0.183285i | ||||
\(709\) | −44.7386 | −1.68019 | −0.840097 | − | 0.542436i | \(-0.817502\pi\) | ||||
−0.840097 | + | 0.542436i | \(0.817502\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | − | 8.10887i | − | 0.304106i | ||||||
\(712\) | 33.3693 | + | 6.20393i | 1.25057 | + | 0.232502i | ||||
\(713\) | −21.7538 | −0.814686 | ||||||||
\(714\) | 4.68951 | + | 11.7947i | 0.175500 | + | 0.441405i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 19.8078 | − | 8.39919i | 0.740251 | − | 0.313892i | ||||
\(717\) | −12.0000 | −0.448148 | ||||||||
\(718\) | 12.5351 | − | 18.9309i | 0.467807 | − | 0.706494i | ||||
\(719\) | 22.6762 | 0.845681 | 0.422841 | − | 0.906204i | \(-0.361033\pi\) | ||||
0.422841 | + | 0.906204i | \(0.361033\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 16.8078 | + | 11.6847i | 0.625954 | + | 0.435159i | ||||
\(722\) | −3.82776 | − | 2.53457i | −0.142455 | − | 0.0943267i | ||||
\(723\) | −77.3704 | −2.87743 | ||||||||
\(724\) | −27.8462 | + | 11.8078i | −1.03490 | + | 0.438832i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −26.5219 | + | 40.0540i | −0.984319 | + | 1.48654i | ||||
\(727\) | 9.64198i | 0.357601i | 0.983885 | + | 0.178801i | \(0.0572217\pi\) | ||||
−0.983885 | + | 0.178801i | \(0.942778\pi\) | |||||||
\(728\) | −10.5202 | − | 10.6454i | −0.389906 | − | 0.394545i | ||||
\(729\) | 23.4924 | 0.870090 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.417609 | 0.0154458 | ||||||||
\(732\) | 4.71659 | + | 11.1231i | 0.174330 | + | 0.411122i | ||||
\(733\) | −0.738634 | −0.0272821 | −0.0136410 | − | 0.999907i | \(-0.504342\pi\) | ||||
−0.0136410 | + | 0.999907i | \(0.504342\pi\) | |||||||
\(734\) | 8.10887 | − | 12.2462i | 0.299304 | − | 0.452016i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −35.4233 | + | 7.81855i | −1.30572 | + | 0.288196i | ||||
\(737\) | 17.7538i | 0.653969i | ||||||||
\(738\) | −5.36932 | + | 8.10887i | −0.197647 | + | 0.298492i | ||||
\(739\) | 37.5697i | 1.38202i | 0.722844 | + | 0.691012i | \(0.242835\pi\) | ||||
−0.722844 | + | 0.691012i | \(0.757165\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 28.4924i | 1.04670i | ||||||||
\(742\) | −2.76481 | − | 6.95383i | −0.101499 | − | 0.255283i | ||||
\(743\) | −23.7917 | −0.872835 | −0.436417 | − | 0.899744i | \(-0.643753\pi\) | ||||
−0.436417 | + | 0.899744i | \(0.643753\pi\) | |||||||
\(744\) | 28.4924 | + | 5.29723i | 1.04458 | + | 0.194206i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 8.19224 | − | 12.3721i | 0.299939 | − | 0.452975i | ||||
\(747\) | − | 18.4945i | − | 0.676679i | ||||||
\(748\) | 9.75379 | − | 4.13595i | 0.356634 | − | 0.151225i | ||||
\(749\) | 8.56155 | − | 12.3153i | 0.312832 | − | 0.449993i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 28.8802i | 1.05385i | 0.849911 | + | 0.526926i | \(0.176656\pi\) | ||||
−0.849911 | + | 0.526926i | \(0.823344\pi\) | |||||||
\(752\) | 14.6307 | + | 14.1498i | 0.533526 | + | 0.515989i | ||||
\(753\) | 48.4924i | 1.76716i | ||||||||
\(754\) | 4.71659 | + | 3.12311i | 0.171768 | + | 0.113737i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −10.2316 | + | 48.8558i | −0.372118 | + | 1.77687i | ||||
\(757\) | 4.24621i | 0.154331i | 0.997018 | + | 0.0771656i | \(0.0245870\pi\) | ||||
−0.997018 | + | 0.0771656i | \(0.975413\pi\) | |||||||
\(758\) | 11.6284 | − | 17.5616i | 0.422364 | − | 0.637864i | ||||
\(759\) | −91.3571 | −3.31605 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 47.2311i | 1.71212i | 0.516873 | + | 0.856062i | \(0.327096\pi\) | ||||
−0.516873 | + | 0.856062i | \(0.672904\pi\) | |||||||
\(762\) | −41.8617 | + | 63.2206i | −1.51649 | + | 2.29024i | ||||
\(763\) | −10.7575 | + | 15.4741i | −0.389447 | + | 0.560199i | ||||
\(764\) | 30.9309 | − | 13.1158i | 1.11904 | − | 0.474512i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −14.8934 | + | 22.4924i | −0.538122 | + | 0.812684i | ||||
\(767\) | 4.13595 | 0.149341 | ||||||||
\(768\) | 48.3002 | − | 1.61463i | 1.74288 | − | 0.0582628i | ||||
\(769\) | − | 27.2311i | − | 0.981977i | −0.871166 | − | 0.490989i | \(-0.836636\pi\) | ||
0.871166 | − | 0.490989i | \(-0.163364\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 34.3404i | − | 1.23674i | ||||||
\(772\) | −41.4153 | + | 17.5616i | −1.49057 | + | 0.632054i | ||||
\(773\) | 32.7386 | 1.17753 | 0.588763 | − | 0.808305i | \(-0.299615\pi\) | ||||
0.588763 | + | 0.808305i | \(0.299615\pi\) | |||||||
\(774\) | 2.68466 | + | 1.77766i | 0.0964981 | + | 0.0638965i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −0.580639 | + | 3.12311i | −0.0208437 | + | 0.112113i | ||||
\(777\) | 9.12311 | − | 13.1231i | 0.327290 | − | 0.470789i | ||||
\(778\) | −8.39919 | − | 5.56155i | −0.301126 | − | 0.199391i | ||||
\(779\) | − | 5.29723i | − | 0.189793i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 34.7386 | 1.24305 | ||||||||
\(782\) | 8.49242 | + | 5.62329i | 0.303688 | + | 0.201088i | ||||
\(783\) | − | 18.8664i | − | 0.674229i | ||||||
\(784\) | 25.6471 | + | 11.2350i | 0.915969 | + | 0.401249i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −41.3693 | + | 62.4769i | −1.47559 | + | 2.22848i | ||||
\(787\) | − | 3.02045i | − | 0.107667i | −0.998550 | − | 0.0538337i | \(-0.982856\pi\) | ||
0.998550 | − | 0.0538337i | \(-0.0171441\pi\) | |||||||
\(788\) | −33.1434 | + | 14.0540i | −1.18069 | + | 0.500652i | ||||
\(789\) | 55.8617i | 1.98873i | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 40.1725 | + | 27.9277i | 1.42837 | + | 0.992995i | ||||
\(792\) | 80.3093 | + | 14.9309i | 2.85367 | + | 0.530545i | ||||
\(793\) | 4.00000i | 0.142044i | ||||||||
\(794\) | 16.5081 | + | 10.9309i | 0.585849 | + | 0.387922i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −20.9343 | − | 49.3693i | −0.741998 | − | 1.74985i | ||||
\(797\) | −3.75379 | −0.132966 | −0.0664830 | − | 0.997788i | \(-0.521178\pi\) | ||||
−0.0664830 | + | 0.997788i | \(0.521178\pi\) | |||||||
\(798\) | −19.6940 | − | 49.5329i | −0.697162 | − | 1.75345i | ||||
\(799\) | − | 5.71484i | − | 0.202176i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | − | 73.4773i | − | 2.59619i | ||||||
\(802\) | −7.07488 | − | 4.68466i | −0.249823 | − | 0.165421i | ||||
\(803\) | 72.4908i | 2.55814i | ||||||||
\(804\) | 20.9343 | − | 8.87689i | 0.738297 | − | 0.313064i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 8.00000 | + | 5.29723i | 0.281788 | + | 0.186587i | ||||
\(807\) | 0.743668 | 0.0261784 | ||||||||
\(808\) | 42.0540 | + | 7.81855i | 1.47945 | + | 0.275056i | ||||
\(809\) | −46.9848 | −1.65190 | −0.825950 | − | 0.563744i | \(-0.809360\pi\) | ||||
−0.825950 | + | 0.563744i | \(0.809360\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −8.10887 | −0.284741 | −0.142370 | − | 0.989813i | \(-0.545472\pi\) | ||||
−0.142370 | + | 0.989813i | \(0.545472\pi\) | |||||||
\(812\) | −10.3583 | − | 2.16927i | −0.363505 | − | 0.0761265i | ||||
\(813\) | − | 5.75379i | − | 0.201794i | ||||||
\(814\) | −11.1231 | − | 7.36520i | −0.389865 | − | 0.258150i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −9.75379 | − | 9.43318i | −0.341451 | − | 0.330227i | ||||
\(817\) | −1.75379 | −0.0613573 | ||||||||
\(818\) | −13.3693 | + | 20.1907i | −0.467447 | + | 0.705950i | ||||
\(819\) | −18.4945 | + | 26.6034i | −0.646251 | + | 0.929598i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 15.6155 | 0.544986 | 0.272493 | − | 0.962158i | \(-0.412152\pi\) | ||||
0.272493 | + | 0.962158i | \(0.412152\pi\) | |||||||
\(822\) | −49.8617 | − | 33.0161i | −1.73913 | − | 1.15157i | ||||
\(823\) | 29.0890 | 1.01398 | 0.506989 | − | 0.861953i | \(-0.330758\pi\) | ||||
0.506989 | + | 0.861953i | \(0.330758\pi\) | |||||||
\(824\) | −21.5150 | − | 4.00000i | −0.749509 | − | 0.139347i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −7.19018 | + | 2.85878i | −0.250178 | + | 0.0994697i | ||||
\(827\) | −24.5354 | −0.853180 | −0.426590 | − | 0.904445i | \(-0.640285\pi\) | ||||
−0.426590 | + | 0.904445i | \(0.640285\pi\) | |||||||
\(828\) | 30.6578 | + | 72.3002i | 1.06543 | + | 2.51261i | ||||
\(829\) | 15.7538i | 0.547152i | 0.961850 | + | 0.273576i | \(0.0882065\pi\) | ||||
−0.961850 | + | 0.273576i | \(0.911794\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −36.9890 | −1.28314 | ||||||||
\(832\) | 14.9309 | + | 5.75058i | 0.517635 | + | 0.199365i | ||||
\(833\) | −2.73863 | − | 7.36932i | −0.0948880 | − | 0.255332i | ||||
\(834\) | 39.6155 | − | 59.8283i | 1.37177 | − | 2.07169i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −40.9620 | + | 17.3693i | −1.41670 | + | 0.600730i | ||||
\(837\) | − | 32.0000i | − | 1.10608i | ||||||
\(838\) | 27.8078 | + | 18.4130i | 0.960603 | + | 0.636067i | ||||
\(839\) | 10.9205 | 0.377018 | 0.188509 | − | 0.982071i | \(-0.439635\pi\) | ||||
0.188509 | + | 0.982071i | \(0.439635\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.0000 | −0.862069 | ||||||||
\(842\) | −27.8462 | − | 18.4384i | −0.959643 | − | 0.635431i | ||||
\(843\) | − | 88.7085i | − | 3.05528i | ||||||
\(844\) | 40.6847 | − | 17.2517i | 1.40042 | − | 0.593829i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 24.3266 | − | 36.7386i | 0.836366 | − | 1.26310i | ||||
\(847\) | 16.9843 | − | 24.4310i | 0.583587 | − | 0.839460i | ||||
\(848\) | 5.75058 | + | 5.56155i | 0.197476 | + | 0.190985i | ||||
\(849\) | 14.8769 | 0.510574 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 12.8255i | − | 0.439651i | ||||||
\(852\) | −17.3693 | − | 40.9620i | −0.595063 | − | 1.40333i | ||||
\(853\) | −24.2462 | −0.830174 | −0.415087 | − | 0.909782i | \(-0.636249\pi\) | ||||
−0.415087 | + | 0.909782i | \(0.636249\pi\) | |||||||
\(854\) | −2.76481 | − | 6.95383i | −0.0946099 | − | 0.237955i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.93087 | + | 15.7644i | −0.100175 | + | 0.538816i | ||||
\(857\) | 25.6155 | 0.875010 | 0.437505 | − | 0.899216i | \(-0.355862\pi\) | ||||
0.437505 | + | 0.899216i | \(0.355862\pi\) | |||||||
\(858\) | 33.5968 | + | 22.2462i | 1.14697 | + | 0.759473i | ||||
\(859\) | −3.55531 | −0.121306 | −0.0606528 | − | 0.998159i | \(-0.519318\pi\) | ||||
−0.0606528 | + | 0.998159i | \(0.519318\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 5.12311 | − | 7.36932i | 0.174595 | − | 0.251146i | ||||
\(862\) | −4.58930 | + | 6.93087i | −0.156312 | + | 0.236066i | ||||
\(863\) | 10.2226 | 0.347982 | 0.173991 | − | 0.984747i | \(-0.444334\pi\) | ||||
0.173991 | + | 0.984747i | \(0.444334\pi\) | |||||||
\(864\) | −11.5012 | − | 52.1080i | −0.391277 | − | 1.77275i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 34.9211 | + | 23.1231i | 1.18667 | + | 0.785755i | ||||
\(867\) | − | 47.5377i | − | 1.61447i | ||||||
\(868\) | −17.5691 | − | 3.67939i | −0.596335 | − | 0.124887i | ||||
\(869\) | 6.24621 | 0.211888 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.52823 | 0.255084 | ||||||||
\(872\) | 3.68260 | − | 19.8078i | 0.124709 | − | 0.670776i | ||||
\(873\) | 6.87689 | 0.232748 | ||||||||
\(874\) | −35.6647 | − | 23.6155i | −1.20638 | − | 0.798807i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 85.4773 | − | 36.2454i | 2.88801 | − | 1.22462i | ||||
\(877\) | 0.738634i | 0.0249419i | 0.999922 | + | 0.0124709i | \(0.00396973\pi\) | ||||
−0.999922 | + | 0.0124709i | \(0.996030\pi\) | |||||||
\(878\) | −19.1231 | − | 12.6624i | −0.645374 | − | 0.427336i | ||||
\(879\) | 47.5835i | 1.60495i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 31.3693i | − | 1.05686i | −0.848977 | − | 0.528430i | \(-0.822781\pi\) | ||
0.848977 | − | 0.528430i | \(-0.177219\pi\) | |||||||
\(882\) | 13.7636 | − | 59.0324i | 0.463445 | − | 1.98772i | ||||
\(883\) | 31.3200 | 1.05400 | 0.527001 | − | 0.849865i | \(-0.323317\pi\) | ||||
0.527001 | + | 0.849865i | \(0.323317\pi\) | |||||||
\(884\) | −1.75379 | − | 4.13595i | −0.0589863 | − | 0.139107i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −27.1771 | − | 17.9954i | −0.913032 | − | 0.604567i | ||||
\(887\) | − | 29.9957i | − | 1.00716i | −0.863950 | − | 0.503578i | \(-0.832017\pi\) | ||
0.863950 | − | 0.503578i | \(-0.167983\pi\) | |||||||
\(888\) | −3.12311 | + | 16.7984i | −0.104805 | + | 0.563717i | ||||
\(889\) | 26.8078 | − | 38.5616i | 0.899104 | − | 1.29331i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | − | 47.7465i | − | 1.59957i | ||||||
\(892\) | −37.8617 | + | 16.0547i | −1.26770 | + | 0.537552i | ||||
\(893\) | 24.0000i | 0.803129i | ||||||||
\(894\) | −12.6624 | + | 19.1231i | −0.423495 | + | 0.639572i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −29.9315 | + | 0.323119i | −0.999942 | + | 0.0107946i | ||||
\(897\) | 38.7386i | 1.29345i | ||||||||
\(898\) | −18.4130 | − | 12.1922i | −0.614450 | − | 0.406860i | ||||
\(899\) | 6.78456 | 0.226278 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 2.24621i | − | 0.0748321i | ||||||
\(902\) | −6.24621 | − | 4.13595i | −0.207976 | − | 0.137712i | ||||
\(903\) | −2.43981 | − | 1.69614i | −0.0811918 | − | 0.0564440i | ||||
\(904\) | −51.4233 | − | 9.56047i | −1.71031 | − | 0.317976i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 35.6647 | + | 23.6155i | 1.18488 | + | 0.784573i | ||||
\(907\) | 52.8350 | 1.75436 | 0.877178 | − | 0.480166i | \(-0.159423\pi\) | ||||
0.877178 | + | 0.480166i | \(0.159423\pi\) | |||||||
\(908\) | −6.93087 | + | 2.93893i | −0.230009 | + | 0.0975319i | ||||
\(909\) | − | 92.6004i | − | 3.07136i | ||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 2.06798i | − | 0.0685151i | −0.999413 | − | 0.0342575i | \(-0.989093\pi\) | ||
0.999413 | − | 0.0342575i | \(-0.0109066\pi\) | |||||||
\(912\) | 40.9620 | + | 39.6155i | 1.35639 | + | 1.31180i | ||||
\(913\) | 14.2462 | 0.471481 | ||||||||
\(914\) | 4.68466 | − | 7.07488i | 0.154955 | − | 0.234016i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 23.7102 | − | 10.0540i | 0.783408 | − | 0.332193i | ||||
\(917\) | 26.4924 | − | 38.1080i | 0.874857 | − | 1.25844i | ||||
\(918\) | −8.27190 | + | 12.4924i | −0.273013 | + | 0.412311i | ||||
\(919\) | − | 9.27015i | − | 0.305794i | −0.988242 | − | 0.152897i | \(-0.951140\pi\) | ||
0.988242 | − | 0.152897i | \(-0.0488603\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 4.63068 | 0.152586 | ||||||||
\(922\) | −2.82292 | + | 4.26324i | −0.0929679 | + | 0.140402i | ||||
\(923\) | − | 14.7304i | − | 0.484857i | ||||||
\(924\) | −73.7832 | − | 15.4519i | −2.42729 | − | 0.508332i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −33.8078 | − | 22.3859i | −1.11099 | − | 0.735647i | ||||
\(927\) | 47.3747i | 1.55599i | ||||||||
\(928\) | 11.0478 | − | 2.43845i | 0.362662 | − | 0.0800460i | ||||
\(929\) | − | 21.1231i | − | 0.693027i | −0.938045 | − | 0.346513i | \(-0.887366\pi\) | ||
0.938045 | − | 0.346513i | \(-0.112634\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 11.5012 | + | 30.9481i | 0.376935 | + | 1.01428i | ||||
\(932\) | 14.2771 | − | 6.05398i | 0.467661 | − | 0.198305i | ||||
\(933\) | − | 91.2311i | − | 2.98677i | ||||||
\(934\) | −14.4401 | + | 21.8078i | −0.472494 | + | 0.713572i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 6.33122 | − | 34.0540i | 0.206942 | − | 1.11309i | ||||
\(937\) | −38.1080 | −1.24493 | −0.622466 | − | 0.782647i | \(-0.713869\pi\) | ||||
−0.622466 | + | 0.782647i | \(0.713869\pi\) | |||||||
\(938\) | −13.0875 | + | 5.20354i | −0.427323 | + | 0.169901i | ||||
\(939\) | − | 101.534i | − | 3.31344i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 26.6307i | − | 0.868135i | −0.900880 | − | 0.434068i | \(-0.857078\pi\) | ||
0.900880 | − | 0.434068i | \(-0.142922\pi\) | |||||||
\(942\) | −0.580639 | + | 0.876894i | −0.0189182 | + | 0.0285708i | ||||
\(943\) | − | 7.20217i | − | 0.234535i | ||||||
\(944\) | 5.75058 | − | 5.94602i | 0.187165 | − | 0.193527i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.36932 | + | 2.06798i | −0.0445203 | + | 0.0672357i | ||||
\(947\) | 35.8735 | 1.16573 | 0.582867 | − | 0.812568i | \(-0.301931\pi\) | ||||
0.582867 | + | 0.812568i | \(0.301931\pi\) | |||||||
\(948\) | −3.12311 | − | 7.36520i | −0.101434 | − | 0.239211i | ||||
\(949\) | 30.7386 | 0.997818 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −36.9890 | −1.19945 | ||||||||
\(952\) | 5.90767 | + | 5.97796i | 0.191469 | + | 0.193747i | ||||
\(953\) | − | 28.2462i | − | 0.914985i | −0.889214 | − | 0.457492i | \(-0.848748\pi\) | ||
0.889214 | − | 0.457492i | \(-0.151252\pi\) | |||||||
\(954\) | 9.56155 | − | 14.4401i | 0.309567 | − | 0.467515i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −7.31534 | + | 3.10196i | −0.236595 | + | 0.100325i | ||||
\(957\) | 28.4924 | 0.921029 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 30.4133 | + | 21.1431i | 0.982096 | + | 0.682747i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −19.4924 | −0.628788 | ||||||||
\(962\) | −3.12311 | + | 4.71659i | −0.100693 | + | 0.152069i | ||||
\(963\) | 34.7123 | 1.11859 | ||||||||
\(964\) | −47.1659 | + | 20.0000i | −1.51911 | + | 0.644157i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −26.7763 | − | 67.3455i | −0.861512 | − | 2.16681i | ||||
\(967\) | 3.43806 | 0.110560 | 0.0552802 | − | 0.998471i | \(-0.482395\pi\) | ||||
0.0552802 | + | 0.998471i | \(0.482395\pi\) | |||||||
\(968\) | −5.81422 | + | 31.2732i | −0.186876 | + | 1.00516i | ||||
\(969\) | − | 16.0000i | − | 0.513994i | ||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 10.7575 | 0.345224 | 0.172612 | − | 0.984990i | \(-0.444779\pi\) | ||||
0.172612 | + | 0.984990i | \(0.444779\pi\) | |||||||
\(972\) | −4.19224 | + | 1.77766i | −0.134466 | + | 0.0570183i | ||||
\(973\) | −25.3693 | + | 36.4924i | −0.813303 | + | 1.16989i | ||||
\(974\) | −15.5616 | − | 10.3041i | −0.498624 | − | 0.330166i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 5.75058 | + | 5.56155i | 0.184071 | + | 0.178021i | ||||
\(977\) | 22.4924i | 0.719596i | 0.933030 | + | 0.359798i | \(0.117154\pi\) | ||||
−0.933030 | + | 0.359798i | \(0.882846\pi\) | |||||||
\(978\) | −7.12311 | + | 10.7575i | −0.227772 | + | 0.343986i | ||||
\(979\) | 56.5991 | 1.80891 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −43.6155 | −1.39254 | ||||||||
\(982\) | 24.6169 | − | 37.1771i | 0.785558 | − | 1.18637i | ||||
\(983\) | 28.5083i | 0.909275i | 0.890677 | + | 0.454637i | \(0.150231\pi\) | ||||
−0.890677 | + | 0.454637i | \(0.849769\pi\) | |||||||
\(984\) | −1.75379 | + | 9.43318i | −0.0559087 | + | 0.300719i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −2.64861 | − | 1.75379i | −0.0843490 | − | 0.0558520i | ||||
\(987\) | −23.2111 | + | 33.3880i | −0.738818 | + | 1.06275i | ||||
\(988\) | 7.36520 | + | 17.3693i | 0.234318 | + | 0.552592i | ||||
\(989\) | −2.38447 | −0.0758218 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 48.9078i | 1.55361i | 0.629743 | + | 0.776804i | \(0.283160\pi\) | ||||
−0.629743 | + | 0.776804i | \(0.716840\pi\) | |||||||
\(992\) | 18.7386 | − | 4.13595i | 0.594952 | − | 0.131317i | ||||
\(993\) | 55.2311 | 1.75270 | ||||||||
\(994\) | 10.1817 | + | 25.6082i | 0.322944 | + | 0.812243i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −7.12311 | − | 16.7984i | −0.225704 | − | 0.532277i | ||||
\(997\) | −5.50758 | −0.174427 | −0.0872134 | − | 0.996190i | \(-0.527796\pi\) | ||||
−0.0872134 | + | 0.996190i | \(0.527796\pi\) | |||||||
\(998\) | −18.9936 | + | 28.6847i | −0.601233 | + | 0.907997i | ||||
\(999\) | 18.8664 | 0.596905 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))