Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,2,Mod(7,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.c (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.303431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{7})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 7x^{2} + 49 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Root | \(-1.32288 - 2.29129i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.11 |
Dual form | 38.2.c.b.7.2 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | 1.32288 | − | 2.29129i | 0.763763 | − | 1.32288i | −0.177136 | − | 0.984186i | \(-0.556683\pi\) |
0.940898 | − | 0.338689i | \(-0.109984\pi\) | |||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | −1.82288 | + | 3.15731i | −0.815215 | + | 1.41199i | 0.0939588 | + | 0.995576i | \(0.470048\pi\) |
−0.909174 | + | 0.416417i | \(0.863286\pi\) | |||||||
\(6\) | 1.32288 | + | 2.29129i | 0.540062 | + | 0.935414i | ||||
\(7\) | −1.64575 | −0.622036 | −0.311018 | − | 0.950404i | \(-0.600670\pi\) | ||||
−0.311018 | + | 0.950404i | \(0.600670\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −2.00000 | − | 3.46410i | −0.666667 | − | 1.15470i | ||||
\(10\) | −1.82288 | − | 3.15731i | −0.576444 | − | 0.998430i | ||||
\(11\) | 0.645751 | 0.194701 | 0.0973507 | − | 0.995250i | \(-0.468963\pi\) | ||||
0.0973507 | + | 0.995250i | \(0.468963\pi\) | |||||||
\(12\) | −2.64575 | −0.763763 | ||||||||
\(13\) | −1.00000 | − | 1.73205i | −0.277350 | − | 0.480384i | 0.693375 | − | 0.720577i | \(-0.256123\pi\) |
−0.970725 | + | 0.240192i | \(0.922790\pi\) | |||||||
\(14\) | 0.822876 | − | 1.42526i | 0.219923 | − | 0.380917i | ||||
\(15\) | 4.82288 | + | 8.35347i | 1.24526 | + | 2.15686i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(18\) | 4.00000 | 0.942809 | ||||||||
\(19\) | 4.32288 | + | 0.559237i | 0.991736 | + | 0.128298i | ||||
\(20\) | 3.64575 | 0.815215 | ||||||||
\(21\) | −2.17712 | + | 3.77089i | −0.475087 | + | 0.822876i | ||||
\(22\) | −0.322876 | + | 0.559237i | −0.0688373 | + | 0.119230i | ||||
\(23\) | −1.82288 | − | 3.15731i | −0.380096 | − | 0.658345i | 0.610980 | − | 0.791646i | \(-0.290776\pi\) |
−0.991076 | + | 0.133301i | \(0.957442\pi\) | |||||||
\(24\) | 1.32288 | − | 2.29129i | 0.270031 | − | 0.467707i | ||||
\(25\) | −4.14575 | − | 7.18065i | −0.829150 | − | 1.43613i | ||||
\(26\) | 2.00000 | 0.392232 | ||||||||
\(27\) | −2.64575 | −0.509175 | ||||||||
\(28\) | 0.822876 | + | 1.42526i | 0.155509 | + | 0.269349i | ||||
\(29\) | 1.82288 | + | 3.15731i | 0.338500 | + | 0.586298i | 0.984151 | − | 0.177334i | \(-0.0567473\pi\) |
−0.645651 | + | 0.763632i | \(0.723414\pi\) | |||||||
\(30\) | −9.64575 | −1.76107 | ||||||||
\(31\) | −0.354249 | −0.0636249 | −0.0318125 | − | 0.999494i | \(-0.510128\pi\) | ||||
−0.0318125 | + | 0.999494i | \(0.510128\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 0.854249 | − | 1.47960i | 0.148706 | − | 0.257566i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 3.00000 | − | 5.19615i | 0.507093 | − | 0.878310i | ||||
\(36\) | −2.00000 | + | 3.46410i | −0.333333 | + | 0.577350i | ||||
\(37\) | 5.64575 | 0.928156 | 0.464078 | − | 0.885794i | \(-0.346386\pi\) | ||||
0.464078 | + | 0.885794i | \(0.346386\pi\) | |||||||
\(38\) | −2.64575 | + | 3.46410i | −0.429198 | + | 0.561951i | ||||
\(39\) | −5.29150 | −0.847319 | ||||||||
\(40\) | −1.82288 | + | 3.15731i | −0.288222 | + | 0.499215i | ||||
\(41\) | −5.14575 | + | 8.91270i | −0.803631 | + | 1.39193i | 0.113580 | + | 0.993529i | \(0.463768\pi\) |
−0.917211 | + | 0.398401i | \(0.869565\pi\) | |||||||
\(42\) | −2.17712 | − | 3.77089i | −0.335938 | − | 0.581861i | ||||
\(43\) | −0.354249 | + | 0.613577i | −0.0540224 | + | 0.0935696i | −0.891772 | − | 0.452485i | \(-0.850538\pi\) |
0.837750 | + | 0.546055i | \(0.183871\pi\) | |||||||
\(44\) | −0.322876 | − | 0.559237i | −0.0486753 | − | 0.0843082i | ||||
\(45\) | 14.5830 | 2.17391 | ||||||||
\(46\) | 3.64575 | 0.537537 | ||||||||
\(47\) | −4.82288 | − | 8.35347i | −0.703489 | − | 1.21848i | −0.967234 | − | 0.253886i | \(-0.918291\pi\) |
0.263745 | − | 0.964592i | \(-0.415042\pi\) | |||||||
\(48\) | 1.32288 | + | 2.29129i | 0.190941 | + | 0.330719i | ||||
\(49\) | −4.29150 | −0.613072 | ||||||||
\(50\) | 8.29150 | 1.17260 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.00000 | + | 1.73205i | −0.138675 | + | 0.240192i | ||||
\(53\) | −4.29150 | − | 7.43310i | −0.589483 | − | 1.02101i | −0.994300 | − | 0.106617i | \(-0.965998\pi\) |
0.404817 | − | 0.914398i | \(-0.367335\pi\) | |||||||
\(54\) | 1.32288 | − | 2.29129i | 0.180021 | − | 0.311805i | ||||
\(55\) | −1.17712 | + | 2.03884i | −0.158723 | + | 0.274917i | ||||
\(56\) | −1.64575 | −0.219923 | ||||||||
\(57\) | 7.00000 | − | 9.16515i | 0.927173 | − | 1.21395i | ||||
\(58\) | −3.64575 | −0.478711 | ||||||||
\(59\) | −3.96863 | + | 6.87386i | −0.516671 | + | 0.894901i | 0.483141 | + | 0.875542i | \(0.339496\pi\) |
−0.999813 | + | 0.0193585i | \(0.993838\pi\) | |||||||
\(60\) | 4.82288 | − | 8.35347i | 0.622631 | − | 1.07843i | ||||
\(61\) | 7.46863 | + | 12.9360i | 0.956260 | + | 1.65629i | 0.731459 | + | 0.681886i | \(0.238840\pi\) |
0.224801 | + | 0.974405i | \(0.427827\pi\) | |||||||
\(62\) | 0.177124 | − | 0.306788i | 0.0224948 | − | 0.0389622i | ||||
\(63\) | 3.29150 | + | 5.70105i | 0.414690 | + | 0.718265i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 7.29150 | 0.904400 | ||||||||
\(66\) | 0.854249 | + | 1.47960i | 0.105151 | + | 0.182126i | ||||
\(67\) | 2.32288 | + | 4.02334i | 0.283784 | + | 0.491529i | 0.972314 | − | 0.233680i | \(-0.0750767\pi\) |
−0.688529 | + | 0.725209i | \(0.741743\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −9.64575 | −1.16121 | ||||||||
\(70\) | 3.00000 | + | 5.19615i | 0.358569 | + | 0.621059i | ||||
\(71\) | 6.64575 | − | 11.5108i | 0.788706 | − | 1.36608i | −0.138055 | − | 0.990425i | \(-0.544085\pi\) |
0.926760 | − | 0.375654i | \(-0.122582\pi\) | |||||||
\(72\) | −2.00000 | − | 3.46410i | −0.235702 | − | 0.408248i | ||||
\(73\) | −6.14575 | + | 10.6448i | −0.719306 | + | 1.24587i | 0.241969 | + | 0.970284i | \(0.422207\pi\) |
−0.961275 | + | 0.275590i | \(0.911127\pi\) | |||||||
\(74\) | −2.82288 | + | 4.88936i | −0.328153 | + | 0.568377i | ||||
\(75\) | −21.9373 | −2.53310 | ||||||||
\(76\) | −1.67712 | − | 4.02334i | −0.192379 | − | 0.461509i | ||||
\(77\) | −1.06275 | −0.121111 | ||||||||
\(78\) | 2.64575 | − | 4.58258i | 0.299572 | − | 0.518875i | ||||
\(79\) | 2.00000 | − | 3.46410i | 0.225018 | − | 0.389742i | −0.731307 | − | 0.682048i | \(-0.761089\pi\) |
0.956325 | + | 0.292306i | \(0.0944227\pi\) | |||||||
\(80\) | −1.82288 | − | 3.15731i | −0.203804 | − | 0.352998i | ||||
\(81\) | 2.50000 | − | 4.33013i | 0.277778 | − | 0.481125i | ||||
\(82\) | −5.14575 | − | 8.91270i | −0.568253 | − | 0.984243i | ||||
\(83\) | −7.93725 | −0.871227 | −0.435613 | − | 0.900134i | \(-0.643469\pi\) | ||||
−0.435613 | + | 0.900134i | \(0.643469\pi\) | |||||||
\(84\) | 4.35425 | 0.475087 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.354249 | − | 0.613577i | −0.0381996 | − | 0.0661637i | ||||
\(87\) | 9.64575 | 1.03413 | ||||||||
\(88\) | 0.645751 | 0.0688373 | ||||||||
\(89\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(90\) | −7.29150 | + | 12.6293i | −0.768592 | + | 1.33124i | ||||
\(91\) | 1.64575 | + | 2.85052i | 0.172522 | + | 0.298816i | ||||
\(92\) | −1.82288 | + | 3.15731i | −0.190048 | + | 0.329173i | ||||
\(93\) | −0.468627 | + | 0.811686i | −0.0485944 | + | 0.0841679i | ||||
\(94\) | 9.64575 | 0.994883 | ||||||||
\(95\) | −9.64575 | + | 12.6293i | −0.989633 | + | 1.29573i | ||||
\(96\) | −2.64575 | −0.270031 | ||||||||
\(97\) | 7.14575 | − | 12.3768i | 0.725541 | − | 1.25667i | −0.233210 | − | 0.972426i | \(-0.574923\pi\) |
0.958751 | − | 0.284248i | \(-0.0917438\pi\) | |||||||
\(98\) | 2.14575 | − | 3.71655i | 0.216754 | − | 0.375428i | ||||
\(99\) | −1.29150 | − | 2.23695i | −0.129801 | − | 0.224822i | ||||
\(100\) | −4.14575 | + | 7.18065i | −0.414575 | + | 0.718065i | ||||
\(101\) | 4.17712 | + | 7.23499i | 0.415639 | + | 0.719909i | 0.995495 | − | 0.0948105i | \(-0.0302245\pi\) |
−0.579856 | + | 0.814719i | \(0.696891\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.70850 | −0.266876 | −0.133438 | − | 0.991057i | \(-0.542602\pi\) | ||||
−0.133438 | + | 0.991057i | \(0.542602\pi\) | |||||||
\(104\) | −1.00000 | − | 1.73205i | −0.0980581 | − | 0.169842i | ||||
\(105\) | −7.93725 | − | 13.7477i | −0.774597 | − | 1.34164i | ||||
\(106\) | 8.58301 | 0.833655 | ||||||||
\(107\) | 4.70850 | 0.455188 | 0.227594 | − | 0.973756i | \(-0.426914\pi\) | ||||
0.227594 | + | 0.973756i | \(0.426914\pi\) | |||||||
\(108\) | 1.32288 | + | 2.29129i | 0.127294 | + | 0.220479i | ||||
\(109\) | 3.29150 | − | 5.70105i | 0.315269 | − | 0.546062i | −0.664226 | − | 0.747532i | \(-0.731239\pi\) |
0.979495 | + | 0.201470i | \(0.0645720\pi\) | |||||||
\(110\) | −1.17712 | − | 2.03884i | −0.112234 | − | 0.194396i | ||||
\(111\) | 7.46863 | − | 12.9360i | 0.708891 | − | 1.22783i | ||||
\(112\) | 0.822876 | − | 1.42526i | 0.0777544 | − | 0.134675i | ||||
\(113\) | 5.58301 | 0.525205 | 0.262602 | − | 0.964904i | \(-0.415419\pi\) | ||||
0.262602 | + | 0.964904i | \(0.415419\pi\) | |||||||
\(114\) | 4.43725 | + | 10.6448i | 0.415587 | + | 0.996973i | ||||
\(115\) | 13.2915 | 1.23944 | ||||||||
\(116\) | 1.82288 | − | 3.15731i | 0.169250 | − | 0.293149i | ||||
\(117\) | −4.00000 | + | 6.92820i | −0.369800 | + | 0.640513i | ||||
\(118\) | −3.96863 | − | 6.87386i | −0.365342 | − | 0.632790i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 4.82288 | + | 8.35347i | 0.440266 | + | 0.762564i | ||||
\(121\) | −10.5830 | −0.962091 | ||||||||
\(122\) | −14.9373 | −1.35236 | ||||||||
\(123\) | 13.6144 | + | 23.5808i | 1.22757 | + | 2.12621i | ||||
\(124\) | 0.177124 | + | 0.306788i | 0.0159062 | + | 0.0275504i | ||||
\(125\) | 12.0000 | 1.07331 | ||||||||
\(126\) | −6.58301 | −0.586461 | ||||||||
\(127\) | 1.35425 | + | 2.34563i | 0.120170 | + | 0.208141i | 0.919835 | − | 0.392306i | \(-0.128323\pi\) |
−0.799665 | + | 0.600447i | \(0.794989\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 0.937254 | + | 1.62337i | 0.0825206 | + | 0.142930i | ||||
\(130\) | −3.64575 | + | 6.31463i | −0.319754 | + | 0.553829i | ||||
\(131\) | 6.96863 | − | 12.0700i | 0.608852 | − | 1.05456i | −0.382578 | − | 0.923923i | \(-0.624964\pi\) |
0.991430 | − | 0.130639i | \(-0.0417029\pi\) | |||||||
\(132\) | −1.70850 | −0.148706 | ||||||||
\(133\) | −7.11438 | − | 0.920365i | −0.616895 | − | 0.0798058i | ||||
\(134\) | −4.64575 | −0.401332 | ||||||||
\(135\) | 4.82288 | − | 8.35347i | 0.415087 | − | 0.718952i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 2.79150 | + | 4.83502i | 0.238494 | + | 0.413084i | 0.960282 | − | 0.279030i | \(-0.0900129\pi\) |
−0.721788 | + | 0.692114i | \(0.756680\pi\) | |||||||
\(138\) | 4.82288 | − | 8.35347i | 0.410550 | − | 0.711094i | ||||
\(139\) | −6.67712 | − | 11.5651i | −0.566346 | − | 0.980941i | −0.996923 | − | 0.0783866i | \(-0.975023\pi\) |
0.430577 | − | 0.902554i | \(-0.358310\pi\) | |||||||
\(140\) | −6.00000 | −0.507093 | ||||||||
\(141\) | −25.5203 | −2.14919 | ||||||||
\(142\) | 6.64575 | + | 11.5108i | 0.557699 | + | 0.965963i | ||||
\(143\) | −0.645751 | − | 1.11847i | −0.0540004 | − | 0.0935315i | ||||
\(144\) | 4.00000 | 0.333333 | ||||||||
\(145\) | −13.2915 | −1.10380 | ||||||||
\(146\) | −6.14575 | − | 10.6448i | −0.508626 | − | 0.880966i | ||||
\(147\) | −5.67712 | + | 9.83307i | −0.468241 | + | 0.811018i | ||||
\(148\) | −2.82288 | − | 4.88936i | −0.232039 | − | 0.401903i | ||||
\(149\) | 2.46863 | − | 4.27579i | 0.202238 | − | 0.350286i | −0.747011 | − | 0.664811i | \(-0.768512\pi\) |
0.949249 | + | 0.314525i | \(0.101845\pi\) | |||||||
\(150\) | 10.9686 | − | 18.9982i | 0.895585 | − | 1.55120i | ||||
\(151\) | −2.93725 | −0.239030 | −0.119515 | − | 0.992832i | \(-0.538134\pi\) | ||||
−0.119515 | + | 0.992832i | \(0.538134\pi\) | |||||||
\(152\) | 4.32288 | + | 0.559237i | 0.350632 | + | 0.0453601i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.531373 | − | 0.920365i | 0.0428193 | − | 0.0741651i | ||||
\(155\) | 0.645751 | − | 1.11847i | 0.0518680 | − | 0.0898380i | ||||
\(156\) | 2.64575 | + | 4.58258i | 0.211830 | + | 0.366900i | ||||
\(157\) | −5.29150 | + | 9.16515i | −0.422308 | + | 0.731459i | −0.996165 | − | 0.0874969i | \(-0.972113\pi\) |
0.573857 | + | 0.818956i | \(0.305447\pi\) | |||||||
\(158\) | 2.00000 | + | 3.46410i | 0.159111 | + | 0.275589i | ||||
\(159\) | −22.7085 | −1.80090 | ||||||||
\(160\) | 3.64575 | 0.288222 | ||||||||
\(161\) | 3.00000 | + | 5.19615i | 0.236433 | + | 0.409514i | ||||
\(162\) | 2.50000 | + | 4.33013i | 0.196419 | + | 0.340207i | ||||
\(163\) | −11.9373 | −0.934998 | −0.467499 | − | 0.883994i | \(-0.654845\pi\) | ||||
−0.467499 | + | 0.883994i | \(0.654845\pi\) | |||||||
\(164\) | 10.2915 | 0.803631 | ||||||||
\(165\) | 3.11438 | + | 5.39426i | 0.242454 | + | 0.419943i | ||||
\(166\) | 3.96863 | − | 6.87386i | 0.308025 | − | 0.533515i | ||||
\(167\) | 6.00000 | + | 10.3923i | 0.464294 | + | 0.804181i | 0.999169 | − | 0.0407502i | \(-0.0129748\pi\) |
−0.534875 | + | 0.844931i | \(0.679641\pi\) | |||||||
\(168\) | −2.17712 | + | 3.77089i | −0.167969 | + | 0.290930i | ||||
\(169\) | 4.50000 | − | 7.79423i | 0.346154 | − | 0.599556i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −6.70850 | − | 16.0934i | −0.513012 | − | 1.23069i | ||||
\(172\) | 0.708497 | 0.0540224 | ||||||||
\(173\) | 3.00000 | − | 5.19615i | 0.228086 | − | 0.395056i | −0.729155 | − | 0.684349i | \(-0.760087\pi\) |
0.957241 | + | 0.289292i | \(0.0934200\pi\) | |||||||
\(174\) | −4.82288 | + | 8.35347i | −0.365621 | + | 0.633275i | ||||
\(175\) | 6.82288 | + | 11.8176i | 0.515761 | + | 0.893324i | ||||
\(176\) | −0.322876 | + | 0.559237i | −0.0243377 | + | 0.0421541i | ||||
\(177\) | 10.5000 | + | 18.1865i | 0.789228 | + | 1.36698i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 19.9373 | 1.49018 | 0.745090 | − | 0.666964i | \(-0.232406\pi\) | ||||
0.745090 | + | 0.666964i | \(0.232406\pi\) | |||||||
\(180\) | −7.29150 | − | 12.6293i | −0.543477 | − | 0.941329i | ||||
\(181\) | 2.11438 | + | 3.66221i | 0.157160 | + | 0.272210i | 0.933844 | − | 0.357682i | \(-0.116433\pi\) |
−0.776683 | + | 0.629892i | \(0.783099\pi\) | |||||||
\(182\) | −3.29150 | −0.243982 | ||||||||
\(183\) | 39.5203 | 2.92142 | ||||||||
\(184\) | −1.82288 | − | 3.15731i | −0.134384 | − | 0.232760i | ||||
\(185\) | −10.2915 | + | 17.8254i | −0.756646 | + | 1.31055i | ||||
\(186\) | −0.468627 | − | 0.811686i | −0.0343614 | − | 0.0595157i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −4.82288 | + | 8.35347i | −0.351744 | + | 0.609239i | ||||
\(189\) | 4.35425 | 0.316725 | ||||||||
\(190\) | −6.11438 | − | 14.6681i | −0.443584 | − | 1.06414i | ||||
\(191\) | −14.5830 | −1.05519 | −0.527595 | − | 0.849496i | \(-0.676906\pi\) | ||||
−0.527595 | + | 0.849496i | \(0.676906\pi\) | |||||||
\(192\) | 1.32288 | − | 2.29129i | 0.0954703 | − | 0.165359i | ||||
\(193\) | 3.29150 | − | 5.70105i | 0.236928 | − | 0.410371i | −0.722904 | − | 0.690949i | \(-0.757193\pi\) |
0.959831 | + | 0.280578i | \(0.0905263\pi\) | |||||||
\(194\) | 7.14575 | + | 12.3768i | 0.513035 | + | 0.888603i | ||||
\(195\) | 9.64575 | − | 16.7069i | 0.690747 | − | 1.19641i | ||||
\(196\) | 2.14575 | + | 3.71655i | 0.153268 | + | 0.265468i | ||||
\(197\) | −2.35425 | −0.167733 | −0.0838666 | − | 0.996477i | \(-0.526727\pi\) | ||||
−0.0838666 | + | 0.996477i | \(0.526727\pi\) | |||||||
\(198\) | 2.58301 | 0.183566 | ||||||||
\(199\) | −5.93725 | − | 10.2836i | −0.420881 | − | 0.728987i | 0.575145 | − | 0.818051i | \(-0.304946\pi\) |
−0.996026 | + | 0.0890645i | \(0.971612\pi\) | |||||||
\(200\) | −4.14575 | − | 7.18065i | −0.293149 | − | 0.507749i | ||||
\(201\) | 12.2915 | 0.866976 | ||||||||
\(202\) | −8.35425 | −0.587803 | ||||||||
\(203\) | −3.00000 | − | 5.19615i | −0.210559 | − | 0.364698i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −18.7601 | − | 32.4935i | −1.31026 | − | 2.26944i | ||||
\(206\) | 1.35425 | − | 2.34563i | 0.0943550 | − | 0.163428i | ||||
\(207\) | −7.29150 | + | 12.6293i | −0.506794 | + | 0.877794i | ||||
\(208\) | 2.00000 | 0.138675 | ||||||||
\(209\) | 2.79150 | + | 0.361128i | 0.193092 | + | 0.0249797i | ||||
\(210\) | 15.8745 | 1.09545 | ||||||||
\(211\) | 1.35425 | − | 2.34563i | 0.0932303 | − | 0.161480i | −0.815638 | − | 0.578562i | \(-0.803614\pi\) |
0.908869 | + | 0.417082i | \(0.136947\pi\) | |||||||
\(212\) | −4.29150 | + | 7.43310i | −0.294742 | + | 0.510507i | ||||
\(213\) | −17.5830 | − | 30.4547i | −1.20477 | − | 2.08672i | ||||
\(214\) | −2.35425 | + | 4.07768i | −0.160933 | + | 0.278744i | ||||
\(215\) | −1.29150 | − | 2.23695i | −0.0880797 | − | 0.152559i | ||||
\(216\) | −2.64575 | −0.180021 | ||||||||
\(217\) | 0.583005 | 0.0395770 | ||||||||
\(218\) | 3.29150 | + | 5.70105i | 0.222929 | + | 0.386124i | ||||
\(219\) | 16.2601 | + | 28.1634i | 1.09876 | + | 1.90310i | ||||
\(220\) | 2.35425 | 0.158723 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 7.46863 | + | 12.9360i | 0.501261 | + | 0.868210i | ||||
\(223\) | −14.4059 | + | 24.9517i | −0.964689 | + | 1.67089i | −0.254241 | + | 0.967141i | \(0.581826\pi\) |
−0.710448 | + | 0.703750i | \(0.751508\pi\) | |||||||
\(224\) | 0.822876 | + | 1.42526i | 0.0549807 | + | 0.0952294i | ||||
\(225\) | −16.5830 | + | 28.7226i | −1.10553 | + | 1.91484i | ||||
\(226\) | −2.79150 | + | 4.83502i | −0.185688 | + | 0.321621i | ||||
\(227\) | −12.6458 | −0.839328 | −0.419664 | − | 0.907680i | \(-0.637852\pi\) | ||||
−0.419664 | + | 0.907680i | \(0.637852\pi\) | |||||||
\(228\) | −11.4373 | − | 1.47960i | −0.757451 | − | 0.0979890i | ||||
\(229\) | 20.0000 | 1.32164 | 0.660819 | − | 0.750546i | \(-0.270209\pi\) | ||||
0.660819 | + | 0.750546i | \(0.270209\pi\) | |||||||
\(230\) | −6.64575 | + | 11.5108i | −0.438208 | + | 0.758998i | ||||
\(231\) | −1.40588 | + | 2.43506i | −0.0925002 | + | 0.160215i | ||||
\(232\) | 1.82288 | + | 3.15731i | 0.119678 | + | 0.207288i | ||||
\(233\) | 6.43725 | − | 11.1497i | 0.421719 | − | 0.730438i | −0.574389 | − | 0.818582i | \(-0.694760\pi\) |
0.996108 | + | 0.0881444i | \(0.0280937\pi\) | |||||||
\(234\) | −4.00000 | − | 6.92820i | −0.261488 | − | 0.452911i | ||||
\(235\) | 35.1660 | 2.29398 | ||||||||
\(236\) | 7.93725 | 0.516671 | ||||||||
\(237\) | −5.29150 | − | 9.16515i | −0.343720 | − | 0.595341i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −12.0000 | −0.776215 | −0.388108 | − | 0.921614i | \(-0.626871\pi\) | ||||
−0.388108 | + | 0.921614i | \(0.626871\pi\) | |||||||
\(240\) | −9.64575 | −0.622631 | ||||||||
\(241\) | −6.79150 | − | 11.7632i | −0.437479 | − | 0.757736i | 0.560015 | − | 0.828482i | \(-0.310795\pi\) |
−0.997494 | + | 0.0707462i | \(0.977462\pi\) | |||||||
\(242\) | 5.29150 | − | 9.16515i | 0.340151 | − | 0.589158i | ||||
\(243\) | −10.5830 | − | 18.3303i | −0.678900 | − | 1.17589i | ||||
\(244\) | 7.46863 | − | 12.9360i | 0.478130 | − | 0.828145i | ||||
\(245\) | 7.82288 | − | 13.5496i | 0.499785 | − | 0.865653i | ||||
\(246\) | −27.2288 | −1.73604 | ||||||||
\(247\) | −3.35425 | − | 8.04668i | −0.213426 | − | 0.511998i | ||||
\(248\) | −0.354249 | −0.0224948 | ||||||||
\(249\) | −10.5000 | + | 18.1865i | −0.665410 | + | 1.15252i | ||||
\(250\) | −6.00000 | + | 10.3923i | −0.379473 | + | 0.657267i | ||||
\(251\) | −1.38562 | − | 2.39997i | −0.0874597 | − | 0.151485i | 0.818977 | − | 0.573826i | \(-0.194542\pi\) |
−0.906437 | + | 0.422342i | \(0.861208\pi\) | |||||||
\(252\) | 3.29150 | − | 5.70105i | 0.207345 | − | 0.359132i | ||||
\(253\) | −1.17712 | − | 2.03884i | −0.0740052 | − | 0.128181i | ||||
\(254\) | −2.70850 | −0.169946 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −0.854249 | − | 1.47960i | −0.0532866 | − | 0.0922950i | 0.838152 | − | 0.545437i | \(-0.183636\pi\) |
−0.891438 | + | 0.453142i | \(0.850303\pi\) | |||||||
\(258\) | −1.87451 | −0.116702 | ||||||||
\(259\) | −9.29150 | −0.577346 | ||||||||
\(260\) | −3.64575 | − | 6.31463i | −0.226100 | − | 0.391617i | ||||
\(261\) | 7.29150 | − | 12.6293i | 0.451333 | − | 0.781731i | ||||
\(262\) | 6.96863 | + | 12.0700i | 0.430523 | + | 0.745688i | ||||
\(263\) | −2.46863 | + | 4.27579i | −0.152222 | + | 0.263656i | −0.932044 | − | 0.362345i | \(-0.881976\pi\) |
0.779822 | + | 0.626001i | \(0.215310\pi\) | |||||||
\(264\) | 0.854249 | − | 1.47960i | 0.0525754 | − | 0.0910632i | ||||
\(265\) | 31.2915 | 1.92222 | ||||||||
\(266\) | 4.35425 | − | 5.70105i | 0.266976 | − | 0.349554i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.32288 | − | 4.02334i | 0.141892 | − | 0.245765i | ||||
\(269\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(270\) | 4.82288 | + | 8.35347i | 0.293511 | + | 0.508376i | ||||
\(271\) | −8.82288 | + | 15.2817i | −0.535952 | + | 0.928295i | 0.463165 | + | 0.886272i | \(0.346714\pi\) |
−0.999117 | + | 0.0420233i | \(0.986620\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 8.70850 | 0.527062 | ||||||||
\(274\) | −5.58301 | −0.337282 | ||||||||
\(275\) | −2.67712 | − | 4.63692i | −0.161437 | − | 0.279617i | ||||
\(276\) | 4.82288 | + | 8.35347i | 0.290303 | + | 0.502820i | ||||
\(277\) | 9.52026 | 0.572017 | 0.286008 | − | 0.958227i | \(-0.407671\pi\) | ||||
0.286008 | + | 0.958227i | \(0.407671\pi\) | |||||||
\(278\) | 13.3542 | 0.800935 | ||||||||
\(279\) | 0.708497 | + | 1.22715i | 0.0424166 | + | 0.0734678i | ||||
\(280\) | 3.00000 | − | 5.19615i | 0.179284 | − | 0.310530i | ||||
\(281\) | 13.7288 | + | 23.7789i | 0.818989 | + | 1.41853i | 0.906428 | + | 0.422361i | \(0.138798\pi\) |
−0.0874389 | + | 0.996170i | \(0.527868\pi\) | |||||||
\(282\) | 12.7601 | − | 22.1012i | 0.759855 | − | 1.31611i | ||||
\(283\) | −12.6771 | + | 21.9574i | −0.753577 | + | 1.30523i | 0.192502 | + | 0.981297i | \(0.438340\pi\) |
−0.946079 | + | 0.323937i | \(0.894993\pi\) | |||||||
\(284\) | −13.2915 | −0.788706 | ||||||||
\(285\) | 16.1771 | + | 38.8081i | 0.958250 | + | 2.29879i | ||||
\(286\) | 1.29150 | 0.0763682 | ||||||||
\(287\) | 8.46863 | − | 14.6681i | 0.499887 | − | 0.865830i | ||||
\(288\) | −2.00000 | + | 3.46410i | −0.117851 | + | 0.204124i | ||||
\(289\) | 8.50000 | + | 14.7224i | 0.500000 | + | 0.866025i | ||||
\(290\) | 6.64575 | − | 11.5108i | 0.390252 | − | 0.675936i | ||||
\(291\) | −18.9059 | − | 32.7459i | −1.10828 | − | 1.91960i | ||||
\(292\) | 12.2915 | 0.719306 | ||||||||
\(293\) | 13.0627 | 0.763134 | 0.381567 | − | 0.924341i | \(-0.375385\pi\) | ||||
0.381567 | + | 0.924341i | \(0.375385\pi\) | |||||||
\(294\) | −5.67712 | − | 9.83307i | −0.331097 | − | 0.573476i | ||||
\(295\) | −14.4686 | − | 25.0604i | −0.842396 | − | 1.45907i | ||||
\(296\) | 5.64575 | 0.328153 | ||||||||
\(297\) | −1.70850 | −0.0991371 | ||||||||
\(298\) | 2.46863 | + | 4.27579i | 0.143004 | + | 0.247690i | ||||
\(299\) | −3.64575 | + | 6.31463i | −0.210839 | + | 0.365184i | ||||
\(300\) | 10.9686 | + | 18.9982i | 0.633274 | + | 1.09686i | ||||
\(301\) | 0.583005 | − | 1.00979i | 0.0336039 | − | 0.0582036i | ||||
\(302\) | 1.46863 | − | 2.54374i | 0.0845100 | − | 0.146376i | ||||
\(303\) | 22.1033 | 1.26980 | ||||||||
\(304\) | −2.64575 | + | 3.46410i | −0.151744 | + | 0.198680i | ||||
\(305\) | −54.4575 | −3.11823 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.32288 | − | 4.02334i | 0.132574 | − | 0.229624i | −0.792094 | − | 0.610399i | \(-0.791009\pi\) |
0.924668 | + | 0.380775i | \(0.124343\pi\) | |||||||
\(308\) | 0.531373 | + | 0.920365i | 0.0302778 | + | 0.0524427i | ||||
\(309\) | −3.58301 | + | 6.20595i | −0.203830 | + | 0.353044i | ||||
\(310\) | 0.645751 | + | 1.11847i | 0.0366762 | + | 0.0635251i | ||||
\(311\) | 8.35425 | 0.473726 | 0.236863 | − | 0.971543i | \(-0.423881\pi\) | ||||
0.236863 | + | 0.971543i | \(0.423881\pi\) | |||||||
\(312\) | −5.29150 | −0.299572 | ||||||||
\(313\) | 11.4373 | + | 19.8099i | 0.646472 | + | 1.11972i | 0.983959 | + | 0.178392i | \(0.0570895\pi\) |
−0.337488 | + | 0.941330i | \(0.609577\pi\) | |||||||
\(314\) | −5.29150 | − | 9.16515i | −0.298617 | − | 0.517219i | ||||
\(315\) | −24.0000 | −1.35225 | ||||||||
\(316\) | −4.00000 | −0.225018 | ||||||||
\(317\) | 3.00000 | + | 5.19615i | 0.168497 | + | 0.291845i | 0.937892 | − | 0.346929i | \(-0.112775\pi\) |
−0.769395 | + | 0.638774i | \(0.779442\pi\) | |||||||
\(318\) | 11.3542 | − | 19.6661i | 0.636715 | − | 1.10282i | ||||
\(319\) | 1.17712 | + | 2.03884i | 0.0659063 | + | 0.114153i | ||||
\(320\) | −1.82288 | + | 3.15731i | −0.101902 | + | 0.176499i | ||||
\(321\) | 6.22876 | − | 10.7885i | 0.347655 | − | 0.602157i | ||||
\(322\) | −6.00000 | −0.334367 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −5.00000 | −0.277778 | ||||||||
\(325\) | −8.29150 | + | 14.3613i | −0.459930 | + | 0.796622i | ||||
\(326\) | 5.96863 | − | 10.3380i | 0.330572 | − | 0.572567i | ||||
\(327\) | −8.70850 | − | 15.0836i | −0.481581 | − | 0.834123i | ||||
\(328\) | −5.14575 | + | 8.91270i | −0.284127 | + | 0.492122i | ||||
\(329\) | 7.93725 | + | 13.7477i | 0.437595 | + | 0.757937i | ||||
\(330\) | −6.22876 | −0.342882 | ||||||||
\(331\) | −27.8118 | −1.52867 | −0.764336 | − | 0.644818i | \(-0.776933\pi\) | ||||
−0.764336 | + | 0.644818i | \(0.776933\pi\) | |||||||
\(332\) | 3.96863 | + | 6.87386i | 0.217807 | + | 0.377252i | ||||
\(333\) | −11.2915 | − | 19.5575i | −0.618771 | − | 1.07174i | ||||
\(334\) | −12.0000 | −0.656611 | ||||||||
\(335\) | −16.9373 | −0.925381 | ||||||||
\(336\) | −2.17712 | − | 3.77089i | −0.118772 | − | 0.205719i | ||||
\(337\) | 10.1458 | − | 17.5730i | 0.552674 | − | 0.957260i | −0.445406 | − | 0.895329i | \(-0.646941\pi\) |
0.998080 | − | 0.0619313i | \(-0.0197260\pi\) | |||||||
\(338\) | 4.50000 | + | 7.79423i | 0.244768 | + | 0.423950i | ||||
\(339\) | 7.38562 | − | 12.7923i | 0.401132 | − | 0.694781i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.228757 | −0.0123879 | ||||||||
\(342\) | 17.2915 | + | 2.23695i | 0.935017 | + | 0.120960i | ||||
\(343\) | 18.5830 | 1.00339 | ||||||||
\(344\) | −0.354249 | + | 0.613577i | −0.0190998 | + | 0.0330818i | ||||
\(345\) | 17.5830 | − | 30.4547i | 0.946637 | − | 1.63962i | ||||
\(346\) | 3.00000 | + | 5.19615i | 0.161281 | + | 0.279347i | ||||
\(347\) | −1.61438 | + | 2.79619i | −0.0866644 | + | 0.150107i | −0.906099 | − | 0.423065i | \(-0.860954\pi\) |
0.819435 | + | 0.573172i | \(0.194287\pi\) | |||||||
\(348\) | −4.82288 | − | 8.35347i | −0.258533 | − | 0.447793i | ||||
\(349\) | −21.1660 | −1.13299 | −0.566495 | − | 0.824065i | \(-0.691701\pi\) | ||||
−0.566495 | + | 0.824065i | \(0.691701\pi\) | |||||||
\(350\) | −13.6458 | −0.729396 | ||||||||
\(351\) | 2.64575 | + | 4.58258i | 0.141220 | + | 0.244600i | ||||
\(352\) | −0.322876 | − | 0.559237i | −0.0172093 | − | 0.0298074i | ||||
\(353\) | −18.8745 | −1.00459 | −0.502294 | − | 0.864697i | \(-0.667511\pi\) | ||||
−0.502294 | + | 0.864697i | \(0.667511\pi\) | |||||||
\(354\) | −21.0000 | −1.11614 | ||||||||
\(355\) | 24.2288 | + | 41.9654i | 1.28593 | + | 2.22729i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −9.96863 | + | 17.2662i | −0.526858 | + | 0.912545i | ||||
\(359\) | −5.46863 | + | 9.47194i | −0.288623 | + | 0.499910i | −0.973481 | − | 0.228766i | \(-0.926531\pi\) |
0.684858 | + | 0.728676i | \(0.259864\pi\) | |||||||
\(360\) | 14.5830 | 0.768592 | ||||||||
\(361\) | 18.3745 | + | 4.83502i | 0.967079 | + | 0.254475i | ||||
\(362\) | −4.22876 | −0.222259 | ||||||||
\(363\) | −14.0000 | + | 24.2487i | −0.734809 | + | 1.27273i | ||||
\(364\) | 1.64575 | − | 2.85052i | 0.0862608 | − | 0.149408i | ||||
\(365\) | −22.4059 | − | 38.8081i | −1.17278 | − | 2.03131i | ||||
\(366\) | −19.7601 | + | 34.2255i | −1.03288 | + | 1.78900i | ||||
\(367\) | 5.11438 | + | 8.85836i | 0.266968 | + | 0.462403i | 0.968077 | − | 0.250651i | \(-0.0806447\pi\) |
−0.701109 | + | 0.713054i | \(0.747311\pi\) | |||||||
\(368\) | 3.64575 | 0.190048 | ||||||||
\(369\) | 41.1660 | 2.14302 | ||||||||
\(370\) | −10.2915 | − | 17.8254i | −0.535030 | − | 0.926699i | ||||
\(371\) | 7.06275 | + | 12.2330i | 0.366680 | + | 0.635108i | ||||
\(372\) | 0.937254 | 0.0485944 | ||||||||
\(373\) | −4.00000 | −0.207112 | −0.103556 | − | 0.994624i | \(-0.533022\pi\) | ||||
−0.103556 | + | 0.994624i | \(0.533022\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 15.8745 | − | 27.4955i | 0.819756 | − | 1.41986i | ||||
\(376\) | −4.82288 | − | 8.35347i | −0.248721 | − | 0.430797i | ||||
\(377\) | 3.64575 | − | 6.31463i | 0.187766 | − | 0.325220i | ||||
\(378\) | −2.17712 | + | 3.77089i | −0.111979 | + | 0.193954i | ||||
\(379\) | 21.2915 | 1.09367 | 0.546836 | − | 0.837240i | \(-0.315832\pi\) | ||||
0.546836 | + | 0.837240i | \(0.315832\pi\) | |||||||
\(380\) | 15.7601 | + | 2.03884i | 0.808478 | + | 0.104590i | ||||
\(381\) | 7.16601 | 0.367126 | ||||||||
\(382\) | 7.29150 | − | 12.6293i | 0.373066 | − | 0.646169i | ||||
\(383\) | 15.7601 | − | 27.2973i | 0.805305 | − | 1.39483i | −0.110780 | − | 0.993845i | \(-0.535335\pi\) |
0.916085 | − | 0.400984i | \(-0.131332\pi\) | |||||||
\(384\) | 1.32288 | + | 2.29129i | 0.0675077 | + | 0.116927i | ||||
\(385\) | 1.93725 | − | 3.35542i | 0.0987316 | − | 0.171008i | ||||
\(386\) | 3.29150 | + | 5.70105i | 0.167533 | + | 0.290176i | ||||
\(387\) | 2.83399 | 0.144060 | ||||||||
\(388\) | −14.2915 | −0.725541 | ||||||||
\(389\) | −6.00000 | − | 10.3923i | −0.304212 | − | 0.526911i | 0.672874 | − | 0.739758i | \(-0.265060\pi\) |
−0.977086 | + | 0.212847i | \(0.931726\pi\) | |||||||
\(390\) | 9.64575 | + | 16.7069i | 0.488432 | + | 0.845988i | ||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −4.29150 | −0.216754 | ||||||||
\(393\) | −18.4373 | − | 31.9343i | −0.930036 | − | 1.61087i | ||||
\(394\) | 1.17712 | − | 2.03884i | 0.0593027 | − | 0.102715i | ||||
\(395\) | 7.29150 | + | 12.6293i | 0.366875 | + | 0.635447i | ||||
\(396\) | −1.29150 | + | 2.23695i | −0.0649004 | + | 0.112411i | ||||
\(397\) | −18.4686 | + | 31.9886i | −0.926914 | + | 1.60546i | −0.138460 | + | 0.990368i | \(0.544215\pi\) |
−0.788454 | + | 0.615094i | \(0.789118\pi\) | |||||||
\(398\) | 11.8745 | 0.595215 | ||||||||
\(399\) | −11.5203 | + | 15.0836i | −0.576734 | + | 0.755122i | ||||
\(400\) | 8.29150 | 0.414575 | ||||||||
\(401\) | −3.20850 | + | 5.55728i | −0.160225 | + | 0.277517i | −0.934949 | − | 0.354782i | \(-0.884555\pi\) |
0.774724 | + | 0.632299i | \(0.217889\pi\) | |||||||
\(402\) | −6.14575 | + | 10.6448i | −0.306522 | + | 0.530912i | ||||
\(403\) | 0.354249 | + | 0.613577i | 0.0176464 | + | 0.0305644i | ||||
\(404\) | 4.17712 | − | 7.23499i | 0.207820 | − | 0.359954i | ||||
\(405\) | 9.11438 | + | 15.7866i | 0.452897 | + | 0.784441i | ||||
\(406\) | 6.00000 | 0.297775 | ||||||||
\(407\) | 3.64575 | 0.180713 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6.79150 | − | 11.7632i | −0.335818 | − | 0.581654i | 0.647823 | − | 0.761790i | \(-0.275679\pi\) |
−0.983642 | + | 0.180136i | \(0.942346\pi\) | |||||||
\(410\) | 37.5203 | 1.85299 | ||||||||
\(411\) | 14.7712 | 0.728612 | ||||||||
\(412\) | 1.35425 | + | 2.34563i | 0.0667190 | + | 0.115561i | ||||
\(413\) | 6.53137 | − | 11.3127i | 0.321388 | − | 0.556660i | ||||
\(414\) | −7.29150 | − | 12.6293i | −0.358358 | − | 0.620694i | ||||
\(415\) | 14.4686 | − | 25.0604i | 0.710237 | − | 1.23017i | ||||
\(416\) | −1.00000 | + | 1.73205i | −0.0490290 | + | 0.0849208i | ||||
\(417\) | −35.3320 | −1.73022 | ||||||||
\(418\) | −1.70850 | + | 2.23695i | −0.0835653 | + | 0.109413i | ||||
\(419\) | 31.7490 | 1.55104 | 0.775520 | − | 0.631322i | \(-0.217488\pi\) | ||||
0.775520 | + | 0.631322i | \(0.217488\pi\) | |||||||
\(420\) | −7.93725 | + | 13.7477i | −0.387298 | + | 0.670820i | ||||
\(421\) | −11.4059 | + | 19.7556i | −0.555889 | + | 0.962827i | 0.441945 | + | 0.897042i | \(0.354289\pi\) |
−0.997834 | + | 0.0657853i | \(0.979045\pi\) | |||||||
\(422\) | 1.35425 | + | 2.34563i | 0.0659238 | + | 0.114183i | ||||
\(423\) | −19.2915 | + | 33.4139i | −0.937985 | + | 1.62464i | ||||
\(424\) | −4.29150 | − | 7.43310i | −0.208414 | − | 0.360983i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 35.1660 | 1.70380 | ||||||||
\(427\) | −12.2915 | − | 21.2895i | −0.594828 | − | 1.03027i | ||||
\(428\) | −2.35425 | − | 4.07768i | −0.113797 | − | 0.197102i | ||||
\(429\) | −3.41699 | −0.164974 | ||||||||
\(430\) | 2.58301 | 0.124564 | ||||||||
\(431\) | 1.93725 | + | 3.35542i | 0.0933142 | + | 0.161625i | 0.908904 | − | 0.417006i | \(-0.136921\pi\) |
−0.815590 | + | 0.578631i | \(0.803587\pi\) | |||||||
\(432\) | 1.32288 | − | 2.29129i | 0.0636469 | − | 0.110240i | ||||
\(433\) | 6.93725 | + | 12.0157i | 0.333383 | + | 0.577437i | 0.983173 | − | 0.182677i | \(-0.0584764\pi\) |
−0.649790 | + | 0.760114i | \(0.725143\pi\) | |||||||
\(434\) | −0.291503 | + | 0.504897i | −0.0139926 | + | 0.0242358i | ||||
\(435\) | −17.5830 | + | 30.4547i | −0.843041 | + | 1.46019i | ||||
\(436\) | −6.58301 | −0.315269 | ||||||||
\(437\) | −6.11438 | − | 14.6681i | −0.292490 | − | 0.701670i | ||||
\(438\) | −32.5203 | −1.55388 | ||||||||
\(439\) | 18.4059 | − | 31.8799i | 0.878465 | − | 1.52155i | 0.0254393 | − | 0.999676i | \(-0.491902\pi\) |
0.853025 | − | 0.521869i | \(-0.174765\pi\) | |||||||
\(440\) | −1.17712 | + | 2.03884i | −0.0561172 | + | 0.0971978i | ||||
\(441\) | 8.58301 | + | 14.8662i | 0.408715 | + | 0.707914i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −2.67712 | − | 4.63692i | −0.127194 | − | 0.220306i | 0.795394 | − | 0.606092i | \(-0.207264\pi\) |
−0.922588 | + | 0.385786i | \(0.873930\pi\) | |||||||
\(444\) | −14.9373 | −0.708891 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −14.4059 | − | 24.9517i | −0.682138 | − | 1.18150i | ||||
\(447\) | −6.53137 | − | 11.3127i | −0.308923 | − | 0.535071i | ||||
\(448\) | −1.64575 | −0.0777544 | ||||||||
\(449\) | −13.7085 | −0.646944 | −0.323472 | − | 0.946238i | \(-0.604850\pi\) | ||||
−0.323472 | + | 0.946238i | \(0.604850\pi\) | |||||||
\(450\) | −16.5830 | − | 28.7226i | −0.781730 | − | 1.35400i | ||||
\(451\) | −3.32288 | + | 5.75539i | −0.156468 | + | 0.271011i | ||||
\(452\) | −2.79150 | − | 4.83502i | −0.131301 | − | 0.227420i | ||||
\(453\) | −3.88562 | + | 6.73009i | −0.182562 | + | 0.316207i | ||||
\(454\) | 6.32288 | − | 10.9515i | 0.296747 | − | 0.513981i | ||||
\(455\) | −12.0000 | −0.562569 | ||||||||
\(456\) | 7.00000 | − | 9.16515i | 0.327805 | − | 0.429198i | ||||
\(457\) | 1.12549 | 0.0526483 | 0.0263242 | − | 0.999653i | \(-0.491620\pi\) | ||||
0.0263242 | + | 0.999653i | \(0.491620\pi\) | |||||||
\(458\) | −10.0000 | + | 17.3205i | −0.467269 | + | 0.809334i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −6.64575 | − | 11.5108i | −0.309860 | − | 0.536693i | ||||
\(461\) | 11.5830 | − | 20.0624i | 0.539474 | − | 0.934397i | −0.459458 | − | 0.888200i | \(-0.651956\pi\) |
0.998932 | − | 0.0461975i | \(-0.0147103\pi\) | |||||||
\(462\) | −1.40588 | − | 2.43506i | −0.0654075 | − | 0.113289i | ||||
\(463\) | 14.4575 | 0.671898 | 0.335949 | − | 0.941880i | \(-0.390943\pi\) | ||||
0.335949 | + | 0.941880i | \(0.390943\pi\) | |||||||
\(464\) | −3.64575 | −0.169250 | ||||||||
\(465\) | −1.70850 | − | 2.95920i | −0.0792297 | − | 0.137230i | ||||
\(466\) | 6.43725 | + | 11.1497i | 0.298200 | + | 0.516498i | ||||
\(467\) | −24.6458 | −1.14047 | −0.570235 | − | 0.821482i | \(-0.693148\pi\) | ||||
−0.570235 | + | 0.821482i | \(0.693148\pi\) | |||||||
\(468\) | 8.00000 | 0.369800 | ||||||||
\(469\) | −3.82288 | − | 6.62141i | −0.176524 | − | 0.305749i | ||||
\(470\) | −17.5830 | + | 30.4547i | −0.811044 | + | 1.40477i | ||||
\(471\) | 14.0000 | + | 24.2487i | 0.645086 | + | 1.11732i | ||||
\(472\) | −3.96863 | + | 6.87386i | −0.182671 | + | 0.316395i | ||||
\(473\) | −0.228757 | + | 0.396218i | −0.0105182 | + | 0.0182181i | ||||
\(474\) | 10.5830 | 0.486094 | ||||||||
\(475\) | −13.9059 | − | 33.3595i | −0.638046 | − | 1.53064i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −17.1660 | + | 29.7324i | −0.785978 | + | 1.36135i | ||||
\(478\) | 6.00000 | − | 10.3923i | 0.274434 | − | 0.475333i | ||||
\(479\) | 7.29150 | + | 12.6293i | 0.333157 | + | 0.577045i | 0.983129 | − | 0.182913i | \(-0.0585527\pi\) |
−0.649972 | + | 0.759958i | \(0.725219\pi\) | |||||||
\(480\) | 4.82288 | − | 8.35347i | 0.220133 | − | 0.381282i | ||||
\(481\) | −5.64575 | − | 9.77873i | −0.257424 | − | 0.445872i | ||||
\(482\) | 13.5830 | 0.618689 | ||||||||
\(483\) | 15.8745 | 0.722315 | ||||||||
\(484\) | 5.29150 | + | 9.16515i | 0.240523 | + | 0.416598i | ||||
\(485\) | 26.0516 | + | 45.1228i | 1.18294 | + | 2.04892i | ||||
\(486\) | 21.1660 | 0.960110 | ||||||||
\(487\) | −22.2288 | −1.00728 | −0.503641 | − | 0.863913i | \(-0.668006\pi\) | ||||
−0.503641 | + | 0.863913i | \(0.668006\pi\) | |||||||
\(488\) | 7.46863 | + | 12.9360i | 0.338089 | + | 0.585587i | ||||
\(489\) | −15.7915 | + | 27.3517i | −0.714116 | + | 1.23689i | ||||
\(490\) | 7.82288 | + | 13.5496i | 0.353401 | + | 0.612109i | ||||
\(491\) | −14.3542 | + | 24.8623i | −0.647798 | + | 1.12202i | 0.335849 | + | 0.941916i | \(0.390977\pi\) |
−0.983648 | + | 0.180104i | \(0.942357\pi\) | |||||||
\(492\) | 13.6144 | − | 23.5808i | 0.613784 | − | 1.06310i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 8.64575 | + | 1.11847i | 0.388991 | + | 0.0503225i | ||||
\(495\) | 9.41699 | 0.423262 | ||||||||
\(496\) | 0.177124 | − | 0.306788i | 0.00795312 | − | 0.0137752i | ||||
\(497\) | −10.9373 | + | 18.9439i | −0.490603 | + | 0.849749i | ||||
\(498\) | −10.5000 | − | 18.1865i | −0.470516 | − | 0.814958i | ||||
\(499\) | 15.6144 | − | 27.0449i | 0.698996 | − | 1.21070i | −0.269819 | − | 0.962911i | \(-0.586964\pi\) |
0.968815 | − | 0.247785i | \(-0.0797026\pi\) | |||||||
\(500\) | −6.00000 | − | 10.3923i | −0.268328 | − | 0.464758i | ||||
\(501\) | 31.7490 | 1.41844 | ||||||||
\(502\) | 2.77124 | 0.123687 | ||||||||
\(503\) | 12.5314 | + | 21.7050i | 0.558746 | + | 0.967777i | 0.997601 | + | 0.0692192i | \(0.0220508\pi\) |
−0.438855 | + | 0.898558i | \(0.644616\pi\) | |||||||
\(504\) | 3.29150 | + | 5.70105i | 0.146615 | + | 0.253945i | ||||
\(505\) | −30.4575 | −1.35534 | ||||||||
\(506\) | 2.35425 | 0.104659 | ||||||||
\(507\) | −11.9059 | − | 20.6216i | −0.528759 | − | 0.915837i | ||||
\(508\) | 1.35425 | − | 2.34563i | 0.0600851 | − | 0.104070i | ||||
\(509\) | −15.8745 | − | 27.4955i | −0.703625 | − | 1.21871i | −0.967185 | − | 0.254072i | \(-0.918230\pi\) |
0.263560 | − | 0.964643i | \(-0.415103\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.1144 | − | 17.5186i | 0.447434 | − | 0.774978i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −11.4373 | − | 1.47960i | −0.504967 | − | 0.0653260i | ||||
\(514\) | 1.70850 | 0.0753586 | ||||||||
\(515\) | 4.93725 | − | 8.55157i | 0.217561 | − | 0.376827i | ||||
\(516\) | 0.937254 | − | 1.62337i | 0.0412603 | − | 0.0714649i | ||||
\(517\) | −3.11438 | − | 5.39426i | −0.136970 | − | 0.237239i | ||||
\(518\) | 4.64575 | − | 8.04668i | 0.204123 | − | 0.353551i | ||||
\(519\) | −7.93725 | − | 13.7477i | −0.348407 | − | 0.603458i | ||||
\(520\) | 7.29150 | 0.319754 | ||||||||
\(521\) | −22.2915 | −0.976608 | −0.488304 | − | 0.872673i | \(-0.662384\pi\) | ||||
−0.488304 | + | 0.872673i | \(0.662384\pi\) | |||||||
\(522\) | 7.29150 | + | 12.6293i | 0.319140 | + | 0.552767i | ||||
\(523\) | −14.9373 | − | 25.8721i | −0.653161 | − | 1.13131i | −0.982352 | − | 0.187044i | \(-0.940109\pi\) |
0.329191 | − | 0.944263i | \(-0.393224\pi\) | |||||||
\(524\) | −13.9373 | −0.608852 | ||||||||
\(525\) | 36.1033 | 1.57568 | ||||||||
\(526\) | −2.46863 | − | 4.27579i | −0.107637 | − | 0.186433i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0.854249 | + | 1.47960i | 0.0371764 | + | 0.0643914i | ||||
\(529\) | 4.85425 | − | 8.40781i | 0.211054 | − | 0.365557i | ||||
\(530\) | −15.6458 | + | 27.0992i | −0.679608 | + | 1.17712i | ||||
\(531\) | 31.7490 | 1.37779 | ||||||||
\(532\) | 2.76013 | + | 6.62141i | 0.119667 | + | 0.287075i | ||||
\(533\) | 20.5830 | 0.891549 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −8.58301 | + | 14.8662i | −0.371076 | + | 0.642722i | ||||
\(536\) | 2.32288 | + | 4.02334i | 0.100333 | + | 0.173782i | ||||
\(537\) | 26.3745 | − | 45.6820i | 1.13814 | − | 1.97132i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −2.77124 | −0.119366 | ||||||||
\(540\) | −9.64575 | −0.415087 | ||||||||
\(541\) | −4.00000 | − | 6.92820i | −0.171973 | − | 0.297867i | 0.767136 | − | 0.641484i | \(-0.221681\pi\) |
−0.939110 | + | 0.343617i | \(0.888348\pi\) | |||||||
\(542\) | −8.82288 | − | 15.2817i | −0.378975 | − | 0.656404i | ||||
\(543\) | 11.1882 | 0.480133 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 12.0000 | + | 20.7846i | 0.514024 | + | 0.890315i | ||||
\(546\) | −4.35425 | + | 7.54178i | −0.186345 | + | 0.322758i | ||||
\(547\) | −0.354249 | − | 0.613577i | −0.0151466 | − | 0.0262346i | 0.858353 | − | 0.513060i | \(-0.171488\pi\) |
−0.873499 | + | 0.486825i | \(0.838155\pi\) | |||||||
\(548\) | 2.79150 | − | 4.83502i | 0.119247 | − | 0.206542i | ||||
\(549\) | 29.8745 | − | 51.7442i | 1.27501 | − | 2.20839i | ||||
\(550\) | 5.35425 | 0.228306 | ||||||||
\(551\) | 6.11438 | + | 14.6681i | 0.260481 | + | 0.624882i | ||||
\(552\) | −9.64575 | −0.410550 | ||||||||
\(553\) | −3.29150 | + | 5.70105i | −0.139969 | + | 0.242433i | ||||
\(554\) | −4.76013 | + | 8.24479i | −0.202239 | + | 0.350287i | ||||
\(555\) | 27.2288 | + | 47.1616i | 1.15580 | + | 2.00190i | ||||
\(556\) | −6.67712 | + | 11.5651i | −0.283173 | + | 0.490470i | ||||
\(557\) | 13.2915 | + | 23.0216i | 0.563179 | + | 0.975455i | 0.997217 | + | 0.0745599i | \(0.0237552\pi\) |
−0.434037 | + | 0.900895i | \(0.642911\pi\) | |||||||
\(558\) | −1.41699 | −0.0599862 | ||||||||
\(559\) | 1.41699 | 0.0599325 | ||||||||
\(560\) | 3.00000 | + | 5.19615i | 0.126773 | + | 0.219578i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −27.4575 | −1.15823 | ||||||||
\(563\) | 25.9373 | 1.09312 | 0.546562 | − | 0.837418i | \(-0.315936\pi\) | ||||
0.546562 | + | 0.837418i | \(0.315936\pi\) | |||||||
\(564\) | 12.7601 | + | 22.1012i | 0.537298 | + | 0.930628i | ||||
\(565\) | −10.1771 | + | 17.6273i | −0.428155 | + | 0.741586i | ||||
\(566\) | −12.6771 | − | 21.9574i | −0.532859 | − | 0.922939i | ||||
\(567\) | −4.11438 | + | 7.12631i | −0.172788 | + | 0.299277i | ||||
\(568\) | 6.64575 | − | 11.5108i | 0.278850 | − | 0.482982i | ||||
\(569\) | −14.5830 | −0.611351 | −0.305676 | − | 0.952136i | \(-0.598882\pi\) | ||||
−0.305676 | + | 0.952136i | \(0.598882\pi\) | |||||||
\(570\) | −41.6974 | − | 5.39426i | −1.74651 | − | 0.225941i | ||||
\(571\) | −39.8118 | −1.66607 | −0.833035 | − | 0.553220i | \(-0.813399\pi\) | ||||
−0.833035 | + | 0.553220i | \(0.813399\pi\) | |||||||
\(572\) | −0.645751 | + | 1.11847i | −0.0270002 | + | 0.0467658i | ||||
\(573\) | −19.2915 | + | 33.4139i | −0.805914 | + | 1.39588i | ||||
\(574\) | 8.46863 | + | 14.6681i | 0.353474 | + | 0.612234i | ||||
\(575\) | −15.1144 | + | 26.1789i | −0.630313 | + | 1.09173i | ||||
\(576\) | −2.00000 | − | 3.46410i | −0.0833333 | − | 0.144338i | ||||
\(577\) | 11.0000 | 0.457936 | 0.228968 | − | 0.973434i | \(-0.426465\pi\) | ||||
0.228968 | + | 0.973434i | \(0.426465\pi\) | |||||||
\(578\) | −17.0000 | −0.707107 | ||||||||
\(579\) | −8.70850 | − | 15.0836i | −0.361913 | − | 0.626851i | ||||
\(580\) | 6.64575 | + | 11.5108i | 0.275950 | + | 0.477959i | ||||
\(581\) | 13.0627 | 0.541934 | ||||||||
\(582\) | 37.8118 | 1.56735 | ||||||||
\(583\) | −2.77124 | − | 4.79993i | −0.114773 | − | 0.198793i | ||||
\(584\) | −6.14575 | + | 10.6448i | −0.254313 | + | 0.440483i | ||||
\(585\) | −14.5830 | − | 25.2585i | −0.602933 | − | 1.04431i | ||||
\(586\) | −6.53137 | + | 11.3127i | −0.269809 | + | 0.467322i | ||||
\(587\) | 22.9373 | − | 39.7285i | 0.946722 | − | 1.63977i | 0.194455 | − | 0.980911i | \(-0.437706\pi\) |
0.752267 | − | 0.658859i | \(-0.228961\pi\) | |||||||
\(588\) | 11.3542 | 0.468241 | ||||||||
\(589\) | −1.53137 | − | 0.198109i | −0.0630991 | − | 0.00816294i | ||||
\(590\) | 28.9373 | 1.19133 | ||||||||
\(591\) | −3.11438 | + | 5.39426i | −0.128108 | + | 0.221890i | ||||
\(592\) | −2.82288 | + | 4.88936i | −0.116019 | + | 0.200952i | ||||
\(593\) | −20.1458 | − | 34.8935i | −0.827287 | − | 1.43290i | −0.900159 | − | 0.435562i | \(-0.856550\pi\) |
0.0728721 | − | 0.997341i | \(-0.476784\pi\) | |||||||
\(594\) | 0.854249 | − | 1.47960i | 0.0350502 | − | 0.0607088i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −4.93725 | −0.202238 | ||||||||
\(597\) | −31.4170 | −1.28581 | ||||||||
\(598\) | −3.64575 | − | 6.31463i | −0.149086 | − | 0.258224i | ||||
\(599\) | 0.531373 | + | 0.920365i | 0.0217113 | + | 0.0376051i | 0.876677 | − | 0.481080i | \(-0.159755\pi\) |
−0.854966 | + | 0.518685i | \(0.826422\pi\) | |||||||
\(600\) | −21.9373 | −0.895585 | ||||||||
\(601\) | 31.5830 | 1.28830 | 0.644149 | − | 0.764900i | \(-0.277212\pi\) | ||||
0.644149 | + | 0.764900i | \(0.277212\pi\) | |||||||
\(602\) | 0.583005 | + | 1.00979i | 0.0237615 | + | 0.0411562i | ||||
\(603\) | 9.29150 | − | 16.0934i | 0.378379 | − | 0.655372i | ||||
\(604\) | 1.46863 | + | 2.54374i | 0.0597576 | + | 0.103503i | ||||
\(605\) | 19.2915 | − | 33.4139i | 0.784311 | − | 1.35847i | ||||
\(606\) | −11.0516 | + | 19.1420i | −0.448942 | + | 0.777590i | ||||
\(607\) | −8.93725 | −0.362752 | −0.181376 | − | 0.983414i | \(-0.558055\pi\) | ||||
−0.181376 | + | 0.983414i | \(0.558055\pi\) | |||||||
\(608\) | −1.67712 | − | 4.02334i | −0.0680164 | − | 0.163168i | ||||
\(609\) | −15.8745 | −0.643268 | ||||||||
\(610\) | 27.2288 | − | 47.1616i | 1.10246 | − | 1.90952i | ||||
\(611\) | −9.64575 | + | 16.7069i | −0.390225 | + | 0.675890i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.2915 | + | 24.7536i | −0.577228 | + | 0.999789i | 0.418567 | + | 0.908186i | \(0.362532\pi\) |
−0.995796 | + | 0.0916030i | \(0.970801\pi\) | |||||||
\(614\) | 2.32288 | + | 4.02334i | 0.0937436 | + | 0.162369i | ||||
\(615\) | −99.2693 | −4.00292 | ||||||||
\(616\) | −1.06275 | −0.0428193 | ||||||||
\(617\) | −0.437254 | − | 0.757346i | −0.0176032 | − | 0.0304896i | 0.857090 | − | 0.515167i | \(-0.172270\pi\) |
−0.874693 | + | 0.484678i | \(0.838937\pi\) | |||||||
\(618\) | −3.58301 | − | 6.20595i | −0.144130 | − | 0.249640i | ||||
\(619\) | 44.4575 | 1.78690 | 0.893449 | − | 0.449164i | \(-0.148278\pi\) | ||||
0.893449 | + | 0.449164i | \(0.148278\pi\) | |||||||
\(620\) | −1.29150 | −0.0518680 | ||||||||
\(621\) | 4.82288 | + | 8.35347i | 0.193535 | + | 0.335213i | ||||
\(622\) | −4.17712 | + | 7.23499i | −0.167487 | + | 0.290097i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 2.64575 | − | 4.58258i | 0.105915 | − | 0.183450i | ||||
\(625\) | −1.14575 | + | 1.98450i | −0.0458301 | + | 0.0793800i | ||||
\(626\) | −22.8745 | −0.914249 | ||||||||
\(627\) | 4.52026 | − | 5.91841i | 0.180522 | − | 0.236358i | ||||
\(628\) | 10.5830 | 0.422308 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 12.0000 | − | 20.7846i | 0.478091 | − | 0.828079i | ||||
\(631\) | −11.4059 | − | 19.7556i | −0.454061 | − | 0.786457i | 0.544573 | − | 0.838714i | \(-0.316692\pi\) |
−0.998634 | + | 0.0522570i | \(0.983359\pi\) | |||||||
\(632\) | 2.00000 | − | 3.46410i | 0.0795557 | − | 0.137795i | ||||
\(633\) | −3.58301 | − | 6.20595i | −0.142412 | − | 0.246664i | ||||
\(634\) | −6.00000 | −0.238290 | ||||||||
\(635\) | −9.87451 | −0.391858 | ||||||||
\(636\) | 11.3542 | + | 19.6661i | 0.450225 | + | 0.779813i | ||||
\(637\) | 4.29150 | + | 7.43310i | 0.170036 | + | 0.294510i | ||||
\(638\) | −2.35425 | −0.0932056 | ||||||||
\(639\) | −53.1660 | −2.10321 | ||||||||
\(640\) | −1.82288 | − | 3.15731i | −0.0720555 | − | 0.124804i | ||||
\(641\) | 9.43725 | − | 16.3458i | 0.372749 | − | 0.645620i | −0.617238 | − | 0.786776i | \(-0.711749\pi\) |
0.989987 | + | 0.141156i | \(0.0450819\pi\) | |||||||
\(642\) | 6.22876 | + | 10.7885i | 0.245829 | + | 0.425789i | ||||
\(643\) | −15.2601 | + | 26.4313i | −0.601801 | + | 1.04235i | 0.390748 | + | 0.920498i | \(0.372217\pi\) |
−0.992548 | + | 0.121852i | \(0.961117\pi\) | |||||||
\(644\) | 3.00000 | − | 5.19615i | 0.118217 | − | 0.204757i | ||||
\(645\) | −6.83399 | −0.269088 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 30.4575 | 1.19741 | 0.598704 | − | 0.800970i | \(-0.295683\pi\) | ||||
0.598704 | + | 0.800970i | \(0.295683\pi\) | |||||||
\(648\) | 2.50000 | − | 4.33013i | 0.0982093 | − | 0.170103i | ||||
\(649\) | −2.56275 | + | 4.43881i | −0.100597 | + | 0.174238i | ||||
\(650\) | −8.29150 | − | 14.3613i | −0.325219 | − | 0.563297i | ||||
\(651\) | 0.771243 | − | 1.33583i | 0.0302274 | − | 0.0523554i | ||||
\(652\) | 5.96863 | + | 10.3380i | 0.233749 | + | 0.404866i | ||||
\(653\) | 24.0000 | 0.939193 | 0.469596 | − | 0.882881i | \(-0.344399\pi\) | ||||
0.469596 | + | 0.882881i | \(0.344399\pi\) | |||||||
\(654\) | 17.4170 | 0.681058 | ||||||||
\(655\) | 25.4059 | + | 44.0043i | 0.992690 | + | 1.71939i | ||||
\(656\) | −5.14575 | − | 8.91270i | −0.200908 | − | 0.347983i | ||||
\(657\) | 49.1660 | 1.91815 | ||||||||
\(658\) | −15.8745 | −0.618853 | ||||||||
\(659\) | −1.29150 | − | 2.23695i | −0.0503098 | − | 0.0871391i | 0.839774 | − | 0.542936i | \(-0.182688\pi\) |
−0.890084 | + | 0.455797i | \(0.849354\pi\) | |||||||
\(660\) | 3.11438 | − | 5.39426i | 0.121227 | − | 0.209971i | ||||
\(661\) | 5.11438 | + | 8.85836i | 0.198926 | + | 0.344550i | 0.948181 | − | 0.317732i | \(-0.102921\pi\) |
−0.749254 | + | 0.662282i | \(0.769588\pi\) | |||||||
\(662\) | 13.9059 | − | 24.0857i | 0.540467 | − | 0.936117i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −7.93725 | −0.308025 | ||||||||
\(665\) | 15.8745 | − | 20.7846i | 0.615587 | − | 0.805993i | ||||
\(666\) | 22.5830 | 0.875074 | ||||||||
\(667\) | 6.64575 | − | 11.5108i | 0.257325 | − | 0.445699i | ||||
\(668\) | 6.00000 | − | 10.3923i | 0.232147 | − | 0.402090i | ||||
\(669\) | 38.1144 | + | 66.0160i | 1.47359 | + | 2.55233i | ||||
\(670\) | 8.46863 | − | 14.6681i | 0.327172 | − | 0.566678i | ||||
\(671\) | 4.82288 | + | 8.35347i | 0.186185 | + | 0.322482i | ||||
\(672\) | 4.35425 | 0.167969 | ||||||||
\(673\) | 17.8745 | 0.689012 | 0.344506 | − | 0.938784i | \(-0.388046\pi\) | ||||
0.344506 | + | 0.938784i | \(0.388046\pi\) | |||||||
\(674\) | 10.1458 | + | 17.5730i | 0.390800 | + | 0.676885i | ||||
\(675\) | 10.9686 | + | 18.9982i | 0.422183 | + | 0.731242i | ||||
\(676\) | −9.00000 | −0.346154 | ||||||||
\(677\) | −32.5830 | −1.25227 | −0.626133 | − | 0.779716i | \(-0.715363\pi\) | ||||
−0.626133 | + | 0.779716i | \(0.715363\pi\) | |||||||
\(678\) | 7.38562 | + | 12.7923i | 0.283643 | + | 0.491284i | ||||
\(679\) | −11.7601 | + | 20.3691i | −0.451312 | + | 0.781696i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −16.7288 | + | 28.9751i | −0.641047 | + | 1.11033i | ||||
\(682\) | 0.114378 | − | 0.198109i | 0.00437977 | − | 0.00758599i | ||||
\(683\) | −26.5830 | −1.01717 | −0.508585 | − | 0.861012i | \(-0.669831\pi\) | ||||
−0.508585 | + | 0.861012i | \(0.669831\pi\) | |||||||
\(684\) | −10.5830 | + | 13.8564i | −0.404651 | + | 0.529813i | ||||
\(685\) | −20.3542 | −0.777696 | ||||||||
\(686\) | −9.29150 | + | 16.0934i | −0.354751 | + | 0.614447i | ||||
\(687\) | 26.4575 | − | 45.8258i | 1.00942 | − | 1.74836i | ||||
\(688\) | −0.354249 | − | 0.613577i | −0.0135056 | − | 0.0233924i | ||||
\(689\) | −8.58301 | + | 14.8662i | −0.326986 | + | 0.566357i | ||||
\(690\) | 17.5830 | + | 30.4547i | 0.669374 | + | 1.15939i | ||||
\(691\) | −18.5830 | −0.706931 | −0.353465 | − | 0.935448i | \(-0.614997\pi\) | ||||
−0.353465 | + | 0.935448i | \(0.614997\pi\) | |||||||
\(692\) | −6.00000 | −0.228086 | ||||||||
\(693\) | 2.12549 | + | 3.68146i | 0.0807408 | + | 0.139847i | ||||
\(694\) | −1.61438 | − | 2.79619i | −0.0612810 | − | 0.106142i | ||||
\(695\) | 48.6863 | 1.84678 | ||||||||
\(696\) | 9.64575 | 0.365621 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 10.5830 | − | 18.3303i | 0.400573 | − | 0.693812i | ||||
\(699\) | −17.0314 | − | 29.4992i | −0.644186 | − | 1.11576i | ||||
\(700\) | 6.82288 | − | 11.8176i | 0.257880 | − | 0.446662i | ||||
\(701\) | −7.82288 | + | 13.5496i | −0.295466 | + | 0.511762i | −0.975093 | − | 0.221796i | \(-0.928808\pi\) |
0.679627 | + | 0.733558i | \(0.262142\pi\) | |||||||
\(702\) | −5.29150 | −0.199715 | ||||||||
\(703\) | 24.4059 | + | 3.15731i | 0.920485 | + | 0.119080i | ||||
\(704\) | 0.645751 | 0.0243377 | ||||||||
\(705\) | 46.5203 | − | 80.5755i | 1.75205 | − | 3.03465i | ||||
\(706\) | 9.43725 | − | 16.3458i | 0.355176 | − | 0.615182i | ||||
\(707\) | −6.87451 | − | 11.9070i | −0.258542 | − | 0.447809i | ||||
\(708\) | 10.5000 | − | 18.1865i | 0.394614 | − | 0.683492i | ||||
\(709\) | 0.822876 | + | 1.42526i | 0.0309037 | + | 0.0535269i | 0.881064 | − | 0.472998i | \(-0.156828\pi\) |
−0.850160 | + | 0.526525i | \(0.823495\pi\) | |||||||
\(710\) | −48.4575 | −1.81858 | ||||||||
\(711\) | −16.0000 | −0.600047 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.645751 | + | 1.11847i | 0.0241836 | + | 0.0418872i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.70850 | 0.176088 | ||||||||
\(716\) | −9.96863 | − | 17.2662i | −0.372545 | − | 0.645267i | ||||
\(717\) | −15.8745 | + | 27.4955i | −0.592844 | + | 1.02684i | ||||
\(718\) | −5.46863 | − | 9.47194i | −0.204087 | − | 0.353490i | ||||
\(719\) | −6.64575 | + | 11.5108i | −0.247845 | + | 0.429280i | −0.962928 | − | 0.269760i | \(-0.913056\pi\) |
0.715083 | + | 0.699040i | \(0.246389\pi\) | |||||||
\(720\) | −7.29150 | + | 12.6293i | −0.271738 | + | 0.470664i | ||||
\(721\) | 4.45751 | 0.166006 | ||||||||
\(722\) | −13.3745 | + | 13.4953i | −0.497748 | + | 0.502242i | ||||
\(723\) | −35.9373 | −1.33652 | ||||||||
\(724\) | 2.11438 | − | 3.66221i | 0.0785802 | − | 0.136105i | ||||
\(725\) | 15.1144 | − | 26.1789i | 0.561334 | − | 0.972259i | ||||
\(726\) | −14.0000 | − | 24.2487i | −0.519589 | − | 0.899954i | ||||
\(727\) | −11.2915 | + | 19.5575i | −0.418779 | + | 0.725346i | −0.995817 | − | 0.0913712i | \(-0.970875\pi\) |
0.577038 | + | 0.816717i | \(0.304208\pi\) | |||||||
\(728\) | 1.64575 | + | 2.85052i | 0.0609956 | + | 0.105647i | ||||
\(729\) | −41.0000 | −1.51852 | ||||||||
\(730\) | 44.8118 | 1.65856 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −19.7601 | − | 34.2255i | −0.730355 | − | 1.26501i | ||||
\(733\) | 42.1033 | 1.55512 | 0.777560 | − | 0.628809i | \(-0.216457\pi\) | ||||
0.777560 | + | 0.628809i | \(0.216457\pi\) | |||||||
\(734\) | −10.2288 | −0.377550 | ||||||||
\(735\) | −20.6974 | − | 35.8489i | −0.763434 | − | 1.32231i | ||||
\(736\) | −1.82288 | + | 3.15731i | −0.0671921 | + | 0.116380i | ||||
\(737\) | 1.50000 | + | 2.59808i | 0.0552532 | + | 0.0957014i | ||||
\(738\) | −20.5830 | + | 35.6508i | −0.757671 | + | 1.31232i | ||||
\(739\) | −6.90588 | + | 11.9613i | −0.254037 | + | 0.440005i | −0.964633 | − | 0.263595i | \(-0.915092\pi\) |
0.710597 | + | 0.703600i | \(0.248425\pi\) | |||||||
\(740\) | 20.5830 | 0.756646 | ||||||||
\(741\) | −22.8745 | − | 2.95920i | −0.840316 | − | 0.108709i | ||||
\(742\) | −14.1255 | −0.518563 | ||||||||
\(743\) | 5.23987 | − | 9.07572i | 0.192232 | − | 0.332956i | −0.753757 | − | 0.657153i | \(-0.771761\pi\) |
0.945990 | + | 0.324197i | \(0.105094\pi\) | |||||||
\(744\) | −0.468627 | + | 0.811686i | −0.0171807 | + | 0.0297578i | ||||
\(745\) | 9.00000 | + | 15.5885i | 0.329734 | + | 0.571117i | ||||
\(746\) | 2.00000 | − | 3.46410i | 0.0732252 | − | 0.126830i | ||||
\(747\) | 15.8745 | + | 27.4955i | 0.580818 | + | 1.00601i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −7.74902 | −0.283143 | ||||||||
\(750\) | 15.8745 | + | 27.4955i | 0.579655 | + | 1.00399i | ||||
\(751\) | −11.9373 | − | 20.6759i | −0.435597 | − | 0.754475i | 0.561748 | − | 0.827309i | \(-0.310129\pi\) |
−0.997344 | + | 0.0728333i | \(0.976796\pi\) | |||||||
\(752\) | 9.64575 | 0.351744 | ||||||||
\(753\) | −7.33202 | −0.267194 | ||||||||
\(754\) | 3.64575 | + | 6.31463i | 0.132770 | + | 0.229965i | ||||
\(755\) | 5.35425 | − | 9.27383i | 0.194861 | − | 0.337509i | ||||
\(756\) | −2.17712 | − | 3.77089i | −0.0791812 | − | 0.137146i | ||||
\(757\) | −8.29150 | + | 14.3613i | −0.301360 | + | 0.521970i | −0.976444 | − | 0.215770i | \(-0.930774\pi\) |
0.675084 | + | 0.737740i | \(0.264107\pi\) | |||||||
\(758\) | −10.6458 | + | 18.4390i | −0.386671 | + | 0.669734i | ||||
\(759\) | −6.22876 | −0.226090 | ||||||||
\(760\) | −9.64575 | + | 12.6293i | −0.349888 | + | 0.458111i | ||||
\(761\) | 11.1255 | 0.403299 | 0.201649 | − | 0.979458i | \(-0.435370\pi\) | ||||
0.201649 | + | 0.979458i | \(0.435370\pi\) | |||||||
\(762\) | −3.58301 | + | 6.20595i | −0.129799 | + | 0.224818i | ||||
\(763\) | −5.41699 | + | 9.38251i | −0.196108 | + | 0.339670i | ||||
\(764\) | 7.29150 | + | 12.6293i | 0.263797 | + | 0.456910i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 15.7601 | + | 27.2973i | 0.569437 | + | 0.986293i | ||||
\(767\) | 15.8745 | 0.573195 | ||||||||
\(768\) | −2.64575 | −0.0954703 | ||||||||
\(769\) | −12.3542 | − | 21.3982i | −0.445506 | − | 0.771638i | 0.552582 | − | 0.833459i | \(-0.313643\pi\) |
−0.998087 | + | 0.0618204i | \(0.980309\pi\) | |||||||
\(770\) | 1.93725 | + | 3.35542i | 0.0698138 | + | 0.120921i | ||||
\(771\) | −4.52026 | −0.162793 | ||||||||
\(772\) | −6.58301 | −0.236928 | ||||||||
\(773\) | −5.46863 | − | 9.47194i | −0.196693 | − | 0.340682i | 0.750761 | − | 0.660574i | \(-0.229687\pi\) |
−0.947454 | + | 0.319892i | \(0.896354\pi\) | |||||||
\(774\) | −1.41699 | + | 2.45431i | −0.0509328 | + | 0.0882182i | ||||
\(775\) | 1.46863 | + | 2.54374i | 0.0527546 | + | 0.0913737i | ||||
\(776\) | 7.14575 | − | 12.3768i | 0.256518 | − | 0.444301i | ||||
\(777\) | −12.2915 | + | 21.2895i | −0.440955 | + | 0.763757i | ||||
\(778\) | 12.0000 | 0.430221 | ||||||||
\(779\) | −27.2288 | + | 35.6508i | −0.975571 | + | 1.27732i | ||||
\(780\) | −19.2915 | −0.690747 | ||||||||
\(781\) | 4.29150 | − | 7.43310i | 0.153562 | − | 0.265977i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −4.82288 | − | 8.35347i | −0.172356 | − | 0.298529i | ||||
\(784\) | 2.14575 | − | 3.71655i | 0.0766340 | − | 0.132734i | ||||
\(785\) | −19.2915 | − | 33.4139i | −0.688543 | − | 1.19259i | ||||
\(786\) | 36.8745 | 1.31527 | ||||||||
\(787\) | −5.47974 | −0.195332 | −0.0976658 | − | 0.995219i | \(-0.531138\pi\) | ||||
−0.0976658 | + | 0.995219i | \(0.531138\pi\) | |||||||
\(788\) | 1.17712 | + | 2.03884i | 0.0419333 | + | 0.0726306i | ||||
\(789\) | 6.53137 | + | 11.3127i | 0.232523 | + | 0.402742i | ||||
\(790\) | −14.5830 | −0.518840 | ||||||||
\(791\) | −9.18824 | −0.326696 | ||||||||
\(792\) | −1.29150 | − | 2.23695i | −0.0458915 | − | 0.0794865i | ||||
\(793\) | 14.9373 | − | 25.8721i | 0.530437 | − | 0.918745i | ||||
\(794\) | −18.4686 | − | 31.9886i | −0.655427 | − | 1.13523i | ||||
\(795\) | 41.3948 | − | 71.6978i | 1.46812 | − | 2.54286i | ||||
\(796\) | −5.93725 | + | 10.2836i | −0.210440 | + | 0.364493i | ||||
\(797\) | 2.81176 | 0.0995977 | 0.0497989 | − | 0.998759i | \(-0.484142\pi\) | ||||
0.0497989 | + | 0.998759i | \(0.484142\pi\) | |||||||
\(798\) | −7.30262 | − | 17.5186i | −0.258510 | − | 0.620152i | ||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −4.14575 | + | 7.18065i | −0.146574 | + | 0.253874i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −3.20850 | − | 5.55728i | −0.113296 | − | 0.196234i | ||||
\(803\) | −3.96863 | + | 6.87386i | −0.140050 | + | 0.242573i | ||||
\(804\) | −6.14575 | − | 10.6448i | −0.216744 | − | 0.375412i | ||||
\(805\) | −21.8745 | −0.770975 | ||||||||
\(806\) | −0.708497 | −0.0249558 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 4.17712 | + | 7.23499i | 0.146951 | + | 0.254526i | ||||
\(809\) | −9.00000 | −0.316423 | −0.158212 | − | 0.987405i | \(-0.550573\pi\) | ||||
−0.158212 | + | 0.987405i | \(0.550573\pi\) | |||||||
\(810\) | −18.2288 | −0.640493 | ||||||||
\(811\) | 10.3542 | + | 17.9341i | 0.363587 | + | 0.629751i | 0.988548 | − | 0.150905i | \(-0.0482187\pi\) |
−0.624961 | + | 0.780656i | \(0.714885\pi\) | |||||||
\(812\) | −3.00000 | + | 5.19615i | −0.105279 | + | 0.182349i | ||||
\(813\) | 23.3431 | + | 40.4315i | 0.818679 | + | 1.41799i | ||||
\(814\) | −1.82288 | + | 3.15731i | −0.0638918 | + | 0.110664i | ||||
\(815\) | 21.7601 | − | 37.6897i | 0.762224 | − | 1.32021i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.87451 | + | 2.45431i | −0.0655807 | + | 0.0858653i | ||||
\(818\) | 13.5830 | 0.474919 | ||||||||
\(819\) | 6.58301 | − | 11.4021i | 0.230029 | − | 0.398422i | ||||
\(820\) | −18.7601 | + | 32.4935i | −0.655132 | + | 1.13472i | ||||
\(821\) | 3.00000 | + | 5.19615i | 0.104701 | + | 0.181347i | 0.913616 | − | 0.406578i | \(-0.133278\pi\) |
−0.808915 | + | 0.587925i | \(0.799945\pi\) | |||||||
\(822\) | −7.38562 | + | 12.7923i | −0.257603 | + | 0.446182i | ||||
\(823\) | 0.0627461 | + | 0.108679i | 0.00218719 | + | 0.00378832i | 0.867117 | − | 0.498105i | \(-0.165970\pi\) |
−0.864930 | + | 0.501893i | \(0.832637\pi\) | |||||||
\(824\) | −2.70850 | −0.0943550 | ||||||||
\(825\) | −14.1660 | −0.493197 | ||||||||
\(826\) | 6.53137 | + | 11.3127i | 0.227256 | + | 0.393618i | ||||
\(827\) | 23.6771 | + | 41.0100i | 0.823334 | + | 1.42606i | 0.903186 | + | 0.429250i | \(0.141222\pi\) |
−0.0798514 | + | 0.996807i | \(0.525445\pi\) | |||||||
\(828\) | 14.5830 | 0.506794 | ||||||||
\(829\) | 25.1660 | 0.874052 | 0.437026 | − | 0.899449i | \(-0.356032\pi\) | ||||
0.437026 | + | 0.899449i | \(0.356032\pi\) | |||||||
\(830\) | 14.4686 | + | 25.0604i | 0.502213 | + | 0.869859i | ||||
\(831\) | 12.5941 | − | 21.8137i | 0.436885 | − | 0.756707i | ||||
\(832\) | −1.00000 | − | 1.73205i | −0.0346688 | − | 0.0600481i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 17.6660 | − | 30.5984i | 0.611724 | − | 1.05954i | ||||
\(835\) | −43.7490 | −1.51400 | ||||||||
\(836\) | −1.08301 | − | 2.59808i | −0.0374565 | − | 0.0898563i | ||||
\(837\) | 0.937254 | 0.0323962 | ||||||||
\(838\) | −15.8745 | + | 27.4955i | −0.548376 | + | 0.949815i | ||||
\(839\) | 2.23987 | − | 3.87957i | 0.0773289 | − | 0.133938i | −0.824768 | − | 0.565472i | \(-0.808694\pi\) |
0.902097 | + | 0.431534i | \(0.142028\pi\) | |||||||
\(840\) | −7.93725 | − | 13.7477i | −0.273861 | − | 0.474342i | ||||
\(841\) | 7.85425 | − | 13.6040i | 0.270836 | − | 0.469102i | ||||
\(842\) | −11.4059 | − | 19.7556i | −0.393073 | − | 0.680822i | ||||
\(843\) | 72.6458 | 2.50205 | ||||||||
\(844\) | −2.70850 | −0.0932303 | ||||||||
\(845\) | 16.4059 | + | 28.4158i | 0.564379 | + | 0.977534i | ||||
\(846\) | −19.2915 | − | 33.4139i | −0.663256 | − | 1.14879i | ||||
\(847\) | 17.4170 | 0.598455 | ||||||||
\(848\) | 8.58301 | 0.294742 | ||||||||
\(849\) | 33.5405 | + | 58.0939i | 1.15111 | + | 1.99378i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −10.2915 | − | 17.8254i | −0.352788 | − | 0.611047i | ||||
\(852\) | −17.5830 | + | 30.4547i | −0.602384 | + | 1.04336i | ||||
\(853\) | 6.29150 | − | 10.8972i | 0.215417 | − | 0.373113i | −0.737985 | − | 0.674818i | \(-0.764222\pi\) |
0.953401 | + | 0.301705i | \(0.0975556\pi\) | |||||||
\(854\) | 24.5830 | 0.841213 | ||||||||
\(855\) | 63.0405 | + | 8.15536i | 2.15594 | + | 0.278907i | ||||
\(856\) | 4.70850 | 0.160933 | ||||||||
\(857\) | −10.5000 | + | 18.1865i | −0.358673 | + | 0.621240i | −0.987739 | − | 0.156112i | \(-0.950104\pi\) |
0.629066 | + | 0.777352i | \(0.283437\pi\) | |||||||
\(858\) | 1.70850 | − | 2.95920i | 0.0583271 | − | 0.101026i | ||||
\(859\) | 6.61438 | + | 11.4564i | 0.225680 | + | 0.390889i | 0.956523 | − | 0.291656i | \(-0.0942064\pi\) |
−0.730843 | + | 0.682545i | \(0.760873\pi\) | |||||||
\(860\) | −1.29150 | + | 2.23695i | −0.0440399 | + | 0.0762793i | ||||
\(861\) | −22.4059 | − | 38.8081i | −0.763590 | − | 1.32258i | ||||
\(862\) | −3.87451 | −0.131966 | ||||||||
\(863\) | −46.9373 | −1.59776 | −0.798881 | − | 0.601489i | \(-0.794575\pi\) | ||||
−0.798881 | + | 0.601489i | \(0.794575\pi\) | |||||||
\(864\) | 1.32288 | + | 2.29129i | 0.0450051 | + | 0.0779512i | ||||
\(865\) | 10.9373 | + | 18.9439i | 0.371878 | + | 0.644111i | ||||
\(866\) | −13.8745 | −0.471475 | ||||||||
\(867\) | 44.9778 | 1.52753 | ||||||||
\(868\) | −0.291503 | − | 0.504897i | −0.00989424 | − | 0.0171373i | ||||
\(869\) | 1.29150 | − | 2.23695i | 0.0438112 | − | 0.0758833i | ||||
\(870\) | −17.5830 | − | 30.4547i | −0.596120 | − | 1.03251i | ||||
\(871\) | 4.64575 | − | 8.04668i | 0.157415 | − | 0.272651i | ||||
\(872\) | 3.29150 | − | 5.70105i | 0.111464 | − | 0.193062i | ||||
\(873\) | −57.1660 | −1.93478 | ||||||||
\(874\) | 15.7601 | + | 2.03884i | 0.533094 | + | 0.0689648i | ||||
\(875\) | −19.7490 | −0.667639 | ||||||||
\(876\) | 16.2601 | − | 28.1634i | 0.549379 | − | 0.951552i | ||||
\(877\) | 18.1771 | − | 31.4837i | 0.613798 | − | 1.06313i | −0.376796 | − | 0.926296i | \(-0.622974\pi\) |
0.990594 | − | 0.136833i | \(-0.0436924\pi\) | |||||||
\(878\) | 18.4059 | + | 31.8799i | 0.621168 | + | 1.07590i | ||||
\(879\) | 17.2804 | − | 29.9305i | 0.582853 | − | 1.00953i | ||||
\(880\) | −1.17712 | − | 2.03884i | −0.0396809 | − | 0.0687293i | ||||
\(881\) | −5.12549 | −0.172682 | −0.0863411 | − | 0.996266i | \(-0.527517\pi\) | ||||
−0.0863411 | + | 0.996266i | \(0.527517\pi\) | |||||||
\(882\) | −17.1660 | −0.578010 | ||||||||
\(883\) | −20.1974 | − | 34.9829i | −0.679696 | − | 1.17727i | −0.975072 | − | 0.221887i | \(-0.928778\pi\) |
0.295376 | − | 0.955381i | \(-0.404555\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −76.5608 | −2.57356 | ||||||||
\(886\) | 5.35425 | 0.179880 | ||||||||
\(887\) | 19.2915 | + | 33.4139i | 0.647745 | + | 1.12193i | 0.983660 | + | 0.180035i | \(0.0576212\pi\) |
−0.335915 | + | 0.941892i | \(0.609045\pi\) | |||||||
\(888\) | 7.46863 | − | 12.9360i | 0.250631 | − | 0.434105i | ||||
\(889\) | −2.22876 | − | 3.86032i | −0.0747501 | − | 0.129471i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.61438 | − | 2.79619i | 0.0540837 | − | 0.0936757i | ||||
\(892\) | 28.8118 | 0.964689 | ||||||||
\(893\) | −16.1771 | − | 38.8081i | −0.541347 | − | 1.29866i | ||||
\(894\) | 13.0627 | 0.436884 | ||||||||
\(895\) | −36.3431 | + | 62.9482i | −1.21482 | + | 2.10412i | ||||
\(896\) | 0.822876 | − | 1.42526i | 0.0274903 | − | 0.0476147i | ||||
\(897\) | 9.64575 | + | 16.7069i | 0.322062 | + | 0.557828i | ||||
\(898\) | 6.85425 | − | 11.8719i | 0.228729 | − | 0.396171i | ||||
\(899\) | −0.645751 | − | 1.11847i | −0.0215370 | − | 0.0373032i | ||||
\(900\) | 33.1660 | 1.10553 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −3.32288 | − | 5.75539i | −0.110640 | − | 0.191634i | ||||
\(903\) | −1.54249 | − | 2.67167i | −0.0513307 | − | 0.0889075i | ||||
\(904\) | 5.58301 | 0.185688 | ||||||||
\(905\) | −15.4170 | −0.512478 | ||||||||
\(906\) | −3.88562 | − | 6.73009i | −0.129091 | − | 0.223592i | ||||
\(907\) | −12.0314 | + | 20.8389i | −0.399495 | + | 0.691946i | −0.993664 | − | 0.112395i | \(-0.964148\pi\) |
0.594168 | + | 0.804341i | \(0.297481\pi\) | |||||||
\(908\) | 6.32288 | + | 10.9515i | 0.209832 | + | 0.363440i | ||||
\(909\) | 16.7085 | − | 28.9400i | 0.554186 | − | 0.959878i | ||||
\(910\) | 6.00000 | − | 10.3923i | 0.198898 | − | 0.344502i | ||||
\(911\) | 1.06275 | 0.0352103 | 0.0176052 | − | 0.999845i | \(-0.494396\pi\) | ||||
0.0176052 | + | 0.999845i | \(0.494396\pi\) | |||||||
\(912\) | 4.43725 | + | 10.6448i | 0.146932 | + | 0.352483i | ||||
\(913\) | −5.12549 | −0.169629 | ||||||||
\(914\) | −0.562746 | + | 0.974705i | −0.0186140 | + | 0.0322404i | ||||
\(915\) | −72.0405 | + | 124.778i | −2.38159 | + | 4.12503i | ||||
\(916\) | −10.0000 | − | 17.3205i | −0.330409 | − | 0.572286i | ||||
\(917\) | −11.4686 | + | 19.8642i | −0.378727 | + | 0.655975i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 11.8745 | 0.391704 | 0.195852 | − | 0.980633i | \(-0.437253\pi\) | ||||
0.195852 | + | 0.980633i | \(0.437253\pi\) | |||||||
\(920\) | 13.2915 | 0.438208 | ||||||||
\(921\) | −6.14575 | − | 10.6448i | −0.202509 | − | 0.350757i | ||||
\(922\) | 11.5830 | + | 20.0624i | 0.381466 | + | 0.660718i | ||||
\(923\) | −26.5830 | −0.874990 | ||||||||
\(924\) | 2.81176 | 0.0925002 | ||||||||
\(925\) | −23.4059 | − | 40.5402i | −0.769581 | − | 1.33295i | ||||
\(926\) | −7.22876 | + | 12.5206i | −0.237552 | + | 0.411452i | ||||
\(927\) | 5.41699 | + | 9.38251i | 0.177917 | + | 0.308162i | ||||
\(928\) | 1.82288 | − | 3.15731i | 0.0598388 | − | 0.103644i | ||||
\(929\) | −5.79150 | + | 10.0312i | −0.190013 | + | 0.329112i | −0.945254 | − | 0.326335i | \(-0.894186\pi\) |
0.755241 | + | 0.655447i | \(0.227520\pi\) | |||||||
\(930\) | 3.41699 | 0.112048 | ||||||||
\(931\) | −18.5516 | − | 2.39997i | −0.608005 | − | 0.0786557i | ||||
\(932\) | −12.8745 | −0.421719 | ||||||||
\(933\) | 11.0516 | − | 19.1420i | 0.361814 | − | 0.626681i | ||||
\(934\) | 12.3229 | − | 21.3438i | 0.403217 | − | 0.698392i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −4.00000 | + | 6.92820i | −0.130744 | + | 0.226455i | ||||
\(937\) | −19.4373 | − | 33.6663i | −0.634987 | − | 1.09983i | −0.986518 | − | 0.163654i | \(-0.947672\pi\) |
0.351530 | − | 0.936176i | \(-0.385661\pi\) | |||||||
\(938\) | 7.64575 | 0.249643 | ||||||||
\(939\) | 60.5203 | 1.97500 | ||||||||
\(940\) | −17.5830 | − | 30.4547i | −0.573494 | − | 0.993321i | ||||
\(941\) | −29.5830 | − | 51.2393i | −0.964378 | − | 1.67035i | −0.711276 | − | 0.702913i | \(-0.751882\pi\) |
−0.253103 | − | 0.967439i | \(-0.581451\pi\) | |||||||
\(942\) | −28.0000 | −0.912289 | ||||||||
\(943\) | 37.5203 | 1.22183 | ||||||||
\(944\) | −3.96863 | − | 6.87386i | −0.129168 | − | 0.223725i | ||||
\(945\) | −7.93725 | + | 13.7477i | −0.258199 | + | 0.447214i | ||||
\(946\) | −0.228757 | − | 0.396218i | −0.00743752 | − | 0.0128822i | ||||
\(947\) | −27.8745 | + | 48.2801i | −0.905800 | + | 1.56889i | −0.0859598 | + | 0.996299i | \(0.527396\pi\) |
−0.819840 | + | 0.572593i | \(0.805938\pi\) | |||||||
\(948\) | −5.29150 | + | 9.16515i | −0.171860 | + | 0.297670i | ||||
\(949\) | 24.5830 | 0.797998 | ||||||||
\(950\) | 35.8431 | + | 4.63692i | 1.16290 | + | 0.150441i | ||||
\(951\) | 15.8745 | 0.514766 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −19.7288 | + | 34.1712i | −0.639077 | + | 1.10691i | 0.346559 | + | 0.938028i | \(0.387350\pi\) |
−0.985636 | + | 0.168886i | \(0.945983\pi\) | |||||||
\(954\) | −17.1660 | − | 29.7324i | −0.555770 | − | 0.962622i | ||||
\(955\) | 26.5830 | − | 46.0431i | 0.860206 | − | 1.48992i | ||||
\(956\) | 6.00000 | + | 10.3923i | 0.194054 | + | 0.336111i | ||||
\(957\) | 6.22876 | 0.201347 | ||||||||
\(958\) | −14.5830 | −0.471156 | ||||||||
\(959\) | −4.59412 | − | 7.95725i | −0.148352 | − | 0.256953i | ||||
\(960\) | 4.82288 | + | 8.35347i | 0.155658 | + | 0.269607i | ||||
\(961\) | −30.8745 | −0.995952 | ||||||||
\(962\) | 11.2915 | 0.364053 | ||||||||
\(963\) | −9.41699 | − | 16.3107i | −0.303458 | − | 0.525605i | ||||
\(964\) | −6.79150 | + | 11.7632i | −0.218740 | + | 0.378868i | ||||
\(965\) | 12.0000 | + | 20.7846i | 0.386294 | + | 0.669080i | ||||
\(966\) | −7.93725 | + | 13.7477i | −0.255377 | + | 0.442326i | ||||
\(967\) | 1.35425 | − | 2.34563i | 0.0435497 | − | 0.0754303i | −0.843429 | − | 0.537241i | \(-0.819467\pi\) |
0.886979 | + | 0.461810i | \(0.152800\pi\) | |||||||
\(968\) | −10.5830 | −0.340151 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −52.1033 | −1.67293 | ||||||||
\(971\) | −7.19738 | + | 12.4662i | −0.230975 | + | 0.400060i | −0.958095 | − | 0.286450i | \(-0.907525\pi\) |
0.727120 | + | 0.686510i | \(0.240858\pi\) | |||||||
\(972\) | −10.5830 | + | 18.3303i | −0.339450 | + | 0.587945i | ||||
\(973\) | 10.9889 | + | 19.0333i | 0.352288 | + | 0.610180i | ||||
\(974\) | 11.1144 | − | 19.2507i | 0.356128 | − | 0.616831i | ||||
\(975\) | 21.9373 | + | 37.9964i | 0.702554 | + | 1.21686i | ||||
\(976\) | −14.9373 | −0.478130 | ||||||||
\(977\) | 45.4575 | 1.45431 | 0.727157 | − | 0.686471i | \(-0.240841\pi\) | ||||
0.727157 | + | 0.686471i | \(0.240841\pi\) | |||||||
\(978\) | −15.7915 | − | 27.3517i | −0.504957 | − | 0.874610i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −15.6458 | −0.499785 | ||||||||
\(981\) | −26.3320 | −0.840717 | ||||||||
\(982\) | −14.3542 | − | 24.8623i | −0.458062 | − | 0.793387i | ||||
\(983\) | 15.8745 | − | 27.4955i | 0.506318 | − | 0.876969i | −0.493655 | − | 0.869658i | \(-0.664339\pi\) |
0.999973 | − | 0.00731102i | \(-0.00232719\pi\) | |||||||
\(984\) | 13.6144 | + | 23.5808i | 0.434011 | + | 0.751728i | ||||
\(985\) | 4.29150 | − | 7.43310i | 0.136739 | − | 0.236838i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 42.0000 | 1.33687 | ||||||||
\(988\) | −5.29150 | + | 6.92820i | −0.168345 | + | 0.220416i | ||||
\(989\) | 2.58301 | 0.0821348 | ||||||||
\(990\) | −4.70850 | + | 8.15536i | −0.149646 | + | 0.259194i | ||||
\(991\) | 22.5830 | − | 39.1149i | 0.717373 | − | 1.24253i | −0.244664 | − | 0.969608i | \(-0.578678\pi\) |
0.962037 | − | 0.272918i | \(-0.0879889\pi\) | |||||||
\(992\) | 0.177124 | + | 0.306788i | 0.00562370 | + | 0.00974054i | ||||
\(993\) | −36.7915 | + | 63.7248i | −1.16754 | + | 2.02224i | ||||
\(994\) | −10.9373 | − | 18.9439i | −0.346909 | − | 0.600863i | ||||
\(995\) | 43.2915 | 1.37243 | ||||||||
\(996\) | 21.0000 | 0.665410 | ||||||||
\(997\) | 5.11438 | + | 8.85836i | 0.161974 | + | 0.280547i | 0.935577 | − | 0.353124i | \(-0.114881\pi\) |
−0.773603 | + | 0.633671i | \(0.781547\pi\) | |||||||
\(998\) | 15.6144 | + | 27.0449i | 0.494265 | + | 0.856091i | ||||
\(999\) | −14.9373 | −0.472594 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))