Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(41,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.m (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.00611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 6x^{14} + 9x^{12} + 54x^{10} - 288x^{8} + 486x^{6} + 729x^{4} - 4374x^{2} + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 41.8 | ||
Root | \(-1.69547 - 0.354107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.41 |
Dual form | 126.2.m.a.83.8 |
$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | ||||
\(3\) | 1.69547 | + | 0.354107i | 0.978878 | + | 0.204444i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −0.895175 | + | 1.55049i | −0.400334 | + | 0.693399i | −0.993766 | − | 0.111485i | \(-0.964439\pi\) |
0.593432 | + | 0.804884i | \(0.297773\pi\) | |||||||
\(6\) | 1.64537 | − | 0.541068i | 0.671720 | − | 0.220890i | ||||
\(7\) | −2.30191 | − | 1.30430i | −0.870040 | − | 0.492981i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 2.74922 | + | 1.20075i | 0.916406 | + | 0.400251i | ||||
\(10\) | 1.79035i | 0.566158i | ||||||||
\(11\) | −2.07976 | + | 1.20075i | −0.627072 | + | 0.362040i | −0.779617 | − | 0.626256i | \(-0.784586\pi\) |
0.152545 | + | 0.988297i | \(0.451253\pi\) | |||||||
\(12\) | 1.15440 | − | 1.29126i | 0.333246 | − | 0.372756i | ||||
\(13\) | −4.23601 | − | 2.44566i | −1.17486 | − | 0.678305i | −0.220039 | − | 0.975491i | \(-0.570618\pi\) |
−0.954820 | + | 0.297186i | \(0.903952\pi\) | |||||||
\(14\) | −2.64566 | + | 0.0213944i | −0.707084 | + | 0.00571788i | ||||
\(15\) | −2.06678 | + | 2.31181i | −0.533640 | + | 0.596908i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 3.66466 | 0.888812 | 0.444406 | − | 0.895826i | \(-0.353415\pi\) | ||||
0.444406 | + | 0.895826i | \(0.353415\pi\) | |||||||
\(18\) | 2.98127 | − | 0.334727i | 0.702692 | − | 0.0788958i | ||||
\(19\) | − | 3.01701i | − | 0.692150i | −0.938207 | − | 0.346075i | \(-0.887514\pi\) | ||
0.938207 | − | 0.346075i | \(-0.112486\pi\) | |||||||
\(20\) | 0.895175 | + | 1.55049i | 0.200167 | + | 0.346700i | ||||
\(21\) | −3.44095 | − | 3.02653i | −0.750877 | − | 0.660442i | ||||
\(22\) | −1.20075 | + | 2.07976i | −0.256001 | + | 0.443407i | ||||
\(23\) | 3.26178 | + | 1.88319i | 0.680129 | + | 0.392673i | 0.799904 | − | 0.600128i | \(-0.204884\pi\) |
−0.119775 | + | 0.992801i | \(0.538217\pi\) | |||||||
\(24\) | 0.354107 | − | 1.69547i | 0.0722817 | − | 0.346086i | ||||
\(25\) | 0.897324 | + | 1.55421i | 0.179465 | + | 0.310842i | ||||
\(26\) | −4.89133 | −0.959268 | ||||||||
\(27\) | 4.23601 | + | 3.00935i | 0.815221 | + | 0.579150i | ||||
\(28\) | −2.28052 | + | 1.34136i | −0.430977 | + | 0.253493i | ||||
\(29\) | −5.68202 | + | 3.28052i | −1.05512 | + | 0.609176i | −0.924080 | − | 0.382200i | \(-0.875167\pi\) |
−0.131045 | + | 0.991376i | \(0.541833\pi\) | |||||||
\(30\) | −0.633975 | + | 3.03548i | −0.115747 | + | 0.554200i | ||||
\(31\) | −4.02408 | − | 2.32330i | −0.722746 | − | 0.417278i | 0.0930163 | − | 0.995665i | \(-0.470349\pi\) |
−0.815763 | + | 0.578387i | \(0.803682\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | −3.95136 | + | 1.29938i | −0.687844 | + | 0.226193i | ||||
\(34\) | 3.17369 | − | 1.83233i | 0.544284 | − | 0.314242i | ||||
\(35\) | 4.08292 | − | 2.40150i | 0.690140 | − | 0.405928i | ||||
\(36\) | 2.41449 | − | 1.78052i | 0.402415 | − | 0.296753i | ||||
\(37\) | 9.36404 | 1.53944 | 0.769719 | − | 0.638382i | \(-0.220396\pi\) | ||||
0.769719 | + | 0.638382i | \(0.220396\pi\) | |||||||
\(38\) | −1.50851 | − | 2.61281i | −0.244712 | − | 0.423853i | ||||
\(39\) | −6.31599 | − | 5.64654i | −1.01137 | − | 0.904170i | ||||
\(40\) | 1.55049 | + | 0.895175i | 0.245154 | + | 0.141540i | ||||
\(41\) | −4.04094 | + | 6.99911i | −0.631088 | + | 1.09308i | 0.356241 | + | 0.934394i | \(0.384058\pi\) |
−0.987330 | + | 0.158683i | \(0.949275\pi\) | |||||||
\(42\) | −4.49321 | − | 0.900574i | −0.693318 | − | 0.138962i | ||||
\(43\) | −3.48127 | − | 6.02973i | −0.530888 | − | 0.919526i | −0.999350 | − | 0.0360419i | \(-0.988525\pi\) |
0.468462 | − | 0.883484i | \(-0.344808\pi\) | |||||||
\(44\) | 2.40150i | 0.362040i | ||||||||
\(45\) | −4.32278 | + | 3.18775i | −0.644402 | + | 0.475201i | ||||
\(46\) | 3.76638 | 0.555323 | ||||||||
\(47\) | 2.56802 | + | 4.44794i | 0.374584 | + | 0.648799i | 0.990265 | − | 0.139197i | \(-0.0444520\pi\) |
−0.615680 | + | 0.787996i | \(0.711119\pi\) | |||||||
\(48\) | −0.541068 | − | 1.64537i | −0.0780965 | − | 0.237489i | ||||
\(49\) | 3.59758 | + | 6.00478i | 0.513940 | + | 0.857826i | ||||
\(50\) | 1.55421 | + | 0.897324i | 0.219799 | + | 0.126901i | ||||
\(51\) | 6.21332 | + | 1.29768i | 0.870039 | + | 0.181712i | ||||
\(52\) | −4.23601 | + | 2.44566i | −0.587429 | + | 0.339152i | ||||
\(53\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(54\) | 5.17317 | + | 0.488168i | 0.703979 | + | 0.0664313i | ||||
\(55\) | − | 4.29953i | − | 0.579749i | ||||||
\(56\) | −1.30430 | + | 2.30191i | −0.174295 | + | 0.307606i | ||||
\(57\) | 1.06834 | − | 5.11524i | 0.141506 | − | 0.677530i | ||||
\(58\) | −3.28052 | + | 5.68202i | −0.430753 | + | 0.746086i | ||||
\(59\) | 7.29501 | − | 12.6353i | 0.949729 | − | 1.64498i | 0.203735 | − | 0.979026i | \(-0.434692\pi\) |
0.745994 | − | 0.665953i | \(-0.231975\pi\) | |||||||
\(60\) | 0.968701 | + | 2.94579i | 0.125059 | + | 0.380300i | ||||
\(61\) | 9.81058 | − | 5.66414i | 1.25612 | − | 0.725219i | 0.283799 | − | 0.958884i | \(-0.408405\pi\) |
0.972317 | + | 0.233665i | \(0.0750718\pi\) | |||||||
\(62\) | −4.64661 | −0.590120 | ||||||||
\(63\) | −4.76230 | − | 6.34984i | −0.599994 | − | 0.800005i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 7.58394 | − | 4.37859i | 0.940672 | − | 0.543097i | ||||
\(66\) | −2.77229 | + | 3.10098i | −0.341246 | + | 0.381704i | ||||
\(67\) | −0.285115 | + | 0.493834i | −0.0348324 | + | 0.0603315i | −0.882916 | − | 0.469531i | \(-0.844423\pi\) |
0.848084 | + | 0.529862i | \(0.177756\pi\) | |||||||
\(68\) | 1.83233 | − | 3.17369i | 0.222203 | − | 0.384867i | ||||
\(69\) | 4.86340 | + | 4.34791i | 0.585484 | + | 0.523427i | ||||
\(70\) | 2.33516 | − | 4.12122i | 0.279105 | − | 0.492580i | ||||
\(71\) | − | 5.96254i | − | 0.707623i | −0.935317 | − | 0.353811i | \(-0.884885\pi\) | ||
0.935317 | − | 0.353811i | \(-0.115115\pi\) | |||||||
\(72\) | 1.20075 | − | 2.74922i | 0.141510 | − | 0.323998i | ||||
\(73\) | 12.3814i | 1.44913i | 0.689204 | + | 0.724567i | \(0.257960\pi\) | ||||
−0.689204 | + | 0.724567i | \(0.742040\pi\) | |||||||
\(74\) | 8.10950 | − | 4.68202i | 0.942710 | − | 0.544274i | ||||
\(75\) | 0.971027 | + | 2.95286i | 0.112125 | + | 0.340967i | ||||
\(76\) | −2.61281 | − | 1.50851i | −0.299710 | − | 0.173037i | ||||
\(77\) | 6.35358 | − | 0.0513786i | 0.724057 | − | 0.00585514i | ||||
\(78\) | −8.29308 | − | 1.73205i | −0.939007 | − | 0.196116i | ||||
\(79\) | −1.51831 | − | 2.62979i | −0.170824 | − | 0.295875i | 0.767884 | − | 0.640588i | \(-0.221309\pi\) |
−0.938708 | + | 0.344713i | \(0.887976\pi\) | |||||||
\(80\) | 1.79035 | 0.200167 | ||||||||
\(81\) | 6.11639 | + | 6.60226i | 0.679599 | + | 0.733584i | ||||
\(82\) | 8.08188i | 0.892494i | ||||||||
\(83\) | −7.00270 | − | 12.1290i | −0.768646 | − | 1.33133i | −0.938297 | − | 0.345830i | \(-0.887597\pi\) |
0.169651 | − | 0.985504i | \(-0.445736\pi\) | |||||||
\(84\) | −4.34152 | + | 1.46669i | −0.473699 | + | 0.160029i | ||||
\(85\) | −3.28052 | + | 5.68202i | −0.355822 | + | 0.616302i | ||||
\(86\) | −6.02973 | − | 3.48127i | −0.650203 | − | 0.375395i | ||||
\(87\) | −10.7953 | + | 3.54997i | −1.15738 | + | 0.380596i | ||||
\(88\) | 1.20075 | + | 2.07976i | 0.128001 | + | 0.221704i | ||||
\(89\) | −3.74863 | −0.397354 | −0.198677 | − | 0.980065i | \(-0.563664\pi\) | ||||
−0.198677 | + | 0.980065i | \(0.563664\pi\) | |||||||
\(90\) | −2.14977 | + | 4.92206i | −0.226605 | + | 0.518831i | ||||
\(91\) | 6.56103 | + | 11.1547i | 0.687783 | + | 1.16934i | ||||
\(92\) | 3.26178 | − | 1.88319i | 0.340064 | − | 0.196336i | ||||
\(93\) | −6.00000 | − | 5.36404i | −0.622171 | − | 0.556225i | ||||
\(94\) | 4.44794 | + | 2.56802i | 0.458770 | + | 0.264871i | ||||
\(95\) | 4.67784 | + | 2.70075i | 0.479936 | + | 0.277091i | ||||
\(96\) | −1.29126 | − | 1.15440i | −0.131789 | − | 0.117820i | ||||
\(97\) | 4.77256 | − | 2.75544i | 0.484580 | − | 0.279772i | −0.237743 | − | 0.971328i | \(-0.576408\pi\) |
0.722323 | + | 0.691556i | \(0.243074\pi\) | |||||||
\(98\) | 6.11799 | + | 3.40150i | 0.618010 | + | 0.343604i | ||||
\(99\) | −7.15953 | + | 0.803848i | −0.719560 | + | 0.0807897i | ||||
\(100\) | 1.79465 | 0.179465 | ||||||||
\(101\) | −0.125162 | − | 0.216787i | −0.0124541 | − | 0.0215711i | 0.859731 | − | 0.510747i | \(-0.170631\pi\) |
−0.872185 | + | 0.489176i | \(0.837298\pi\) | |||||||
\(102\) | 6.02973 | − | 1.98283i | 0.597033 | − | 0.196330i | ||||
\(103\) | 0.145433 | + | 0.0839657i | 0.0143299 | + | 0.00827339i | 0.507148 | − | 0.861859i | \(-0.330700\pi\) |
−0.492818 | + | 0.870132i | \(0.664033\pi\) | |||||||
\(104\) | −2.44566 | + | 4.23601i | −0.239817 | + | 0.415375i | ||||
\(105\) | 7.77285 | − | 2.62588i | 0.758552 | − | 0.256260i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 7.99080i | 0.772500i | 0.922394 | + | 0.386250i | \(0.126230\pi\) | ||||
−0.922394 | + | 0.386250i | \(0.873770\pi\) | |||||||
\(108\) | 4.72418 | − | 2.16382i | 0.454585 | − | 0.208214i | ||||
\(109\) | −18.9533 | −1.81540 | −0.907700 | − | 0.419619i | \(-0.862164\pi\) | ||||
−0.907700 | + | 0.419619i | \(0.862164\pi\) | |||||||
\(110\) | −2.14977 | − | 3.72350i | −0.204972 | − | 0.355022i | ||||
\(111\) | 15.8764 | + | 3.31587i | 1.50692 | + | 0.314728i | ||||
\(112\) | 0.0213944 | + | 2.64566i | 0.00202158 | + | 0.249992i | ||||
\(113\) | −1.00418 | − | 0.579764i | −0.0944653 | − | 0.0545396i | 0.452023 | − | 0.892006i | \(-0.350702\pi\) |
−0.546488 | + | 0.837467i | \(0.684036\pi\) | |||||||
\(114\) | −1.63241 | − | 4.96410i | −0.152889 | − | 0.464931i | ||||
\(115\) | −5.83973 | + | 3.37157i | −0.544558 | + | 0.314401i | ||||
\(116\) | 6.56103i | 0.609176i | ||||||||
\(117\) | −8.70908 | − | 11.8101i | −0.805155 | − | 1.09184i | ||||
\(118\) | − | 14.5900i | − | 1.34312i | ||||||
\(119\) | −8.43573 | − | 4.77984i | −0.773302 | − | 0.438167i | ||||
\(120\) | 2.31181 | + | 2.06678i | 0.211039 | + | 0.188670i | ||||
\(121\) | −2.61639 | + | 4.53172i | −0.237854 | + | 0.411974i | ||||
\(122\) | 5.66414 | − | 9.81058i | 0.512807 | − | 0.888208i | ||||
\(123\) | −9.32971 | + | 10.4358i | −0.841231 | + | 0.940968i | ||||
\(124\) | −4.02408 | + | 2.32330i | −0.361373 | + | 0.208639i | ||||
\(125\) | −12.1648 | −1.08805 | ||||||||
\(126\) | −7.29920 | − | 3.11797i | −0.650264 | − | 0.277771i | ||||
\(127\) | 1.40150 | 0.124363 | 0.0621817 | − | 0.998065i | \(-0.480194\pi\) | ||||
0.0621817 | + | 0.998065i | \(0.480194\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | −3.76721 | − | 11.4560i | −0.331684 | − | 1.00864i | ||||
\(130\) | 4.37859 | − | 7.58394i | 0.384028 | − | 0.665156i | ||||
\(131\) | −5.24589 | + | 9.08614i | −0.458335 | + | 0.793860i | −0.998873 | − | 0.0474597i | \(-0.984887\pi\) |
0.540538 | + | 0.841320i | \(0.318221\pi\) | |||||||
\(132\) | −0.850388 | + | 4.07167i | −0.0740168 | + | 0.354393i | ||||
\(133\) | −3.93510 | + | 6.94489i | −0.341216 | + | 0.602198i | ||||
\(134\) | 0.570231i | 0.0492604i | ||||||||
\(135\) | −8.45794 | + | 3.87399i | −0.727943 | + | 0.333420i | ||||
\(136\) | − | 3.66466i | − | 0.314242i | ||||||
\(137\) | −4.08812 | + | 2.36028i | −0.349272 | + | 0.201652i | −0.664365 | − | 0.747409i | \(-0.731298\pi\) |
0.315093 | + | 0.949061i | \(0.397964\pi\) | |||||||
\(138\) | 6.38578 | + | 1.33370i | 0.543594 | + | 0.113532i | ||||
\(139\) | −2.04707 | − | 1.18187i | −0.173630 | − | 0.100245i | 0.410666 | − | 0.911786i | \(-0.365296\pi\) |
−0.584296 | + | 0.811540i | \(0.698629\pi\) | |||||||
\(140\) | −0.0383034 | − | 4.73667i | −0.00323723 | − | 0.400321i | ||||
\(141\) | 2.77895 | + | 8.45070i | 0.234030 | + | 0.711677i | ||||
\(142\) | −2.98127 | − | 5.16371i | −0.250182 | − | 0.433329i | ||||
\(143\) | 11.7465 | 0.982295 | ||||||||
\(144\) | −0.334727 | − | 2.98127i | −0.0278939 | − | 0.248439i | ||||
\(145\) | − | 11.7465i | − | 0.975497i | ||||||
\(146\) | 6.19070 | + | 10.7226i | 0.512346 | + | 0.887410i | ||||
\(147\) | 3.97325 | + | 11.4548i | 0.327708 | + | 0.944779i | ||||
\(148\) | 4.68202 | − | 8.10950i | 0.384860 | − | 0.666597i | ||||
\(149\) | −15.0377 | − | 8.68202i | −1.23194 | − | 0.711259i | −0.264503 | − | 0.964385i | \(-0.585208\pi\) |
−0.967433 | + | 0.253126i | \(0.918541\pi\) | |||||||
\(150\) | 2.31737 | + | 2.07174i | 0.189212 | + | 0.169157i | ||||
\(151\) | 5.61639 | + | 9.72787i | 0.457055 | + | 0.791643i | 0.998804 | − | 0.0488977i | \(-0.0155708\pi\) |
−0.541749 | + | 0.840541i | \(0.682238\pi\) | |||||||
\(152\) | −3.01701 | −0.244712 | ||||||||
\(153\) | 10.0750 | + | 4.40035i | 0.814512 | + | 0.355748i | ||||
\(154\) | 5.47667 | − | 3.22128i | 0.441322 | − | 0.259578i | ||||
\(155\) | 7.20451 | − | 4.15953i | 0.578680 | − | 0.334101i | ||||
\(156\) | −8.04805 | + | 2.64654i | −0.644359 | + | 0.211893i | ||||
\(157\) | 11.9885 | + | 6.92154i | 0.956783 | + | 0.552399i | 0.895181 | − | 0.445702i | \(-0.147046\pi\) |
0.0616014 | + | 0.998101i | \(0.480379\pi\) | |||||||
\(158\) | −2.62979 | − | 1.51831i | −0.209215 | − | 0.120790i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.55049 | − | 0.895175i | 0.122577 | − | 0.0707698i | ||||
\(161\) | −5.05208 | − | 8.58930i | −0.398159 | − | 0.676931i | ||||
\(162\) | 8.59808 | + | 2.65953i | 0.675529 | + | 0.208952i | ||||
\(163\) | −4.33577 | −0.339604 | −0.169802 | − | 0.985478i | \(-0.554313\pi\) | ||||
−0.169802 | + | 0.985478i | \(0.554313\pi\) | |||||||
\(164\) | 4.04094 | + | 6.99911i | 0.315544 | + | 0.546539i | ||||
\(165\) | 1.52249 | − | 7.28972i | 0.118526 | − | 0.567504i | ||||
\(166\) | −12.1290 | − | 7.00270i | −0.941395 | − | 0.543515i | ||||
\(167\) | −6.20756 | + | 10.7518i | −0.480355 | + | 0.832000i | −0.999746 | − | 0.0225370i | \(-0.992826\pi\) |
0.519391 | + | 0.854537i | \(0.326159\pi\) | |||||||
\(168\) | −3.02653 | + | 3.44095i | −0.233502 | + | 0.265475i | ||||
\(169\) | 5.46254 | + | 9.46139i | 0.420195 | + | 0.727799i | ||||
\(170\) | 6.56103i | 0.503208i | ||||||||
\(171\) | 3.62268 | − | 8.29442i | 0.277033 | − | 0.634290i | ||||
\(172\) | −6.96254 | −0.530888 | ||||||||
\(173\) | 8.70908 | + | 15.0846i | 0.662139 | + | 1.14686i | 0.980052 | + | 0.198739i | \(0.0636846\pi\) |
−0.317913 | + | 0.948120i | \(0.602982\pi\) | |||||||
\(174\) | −7.57405 | + | 8.47203i | −0.574187 | + | 0.642263i | ||||
\(175\) | −0.0383954 | − | 4.74804i | −0.00290242 | − | 0.358918i | ||||
\(176\) | 2.07976 | + | 1.20075i | 0.156768 | + | 0.0905101i | ||||
\(177\) | 16.8427 | − | 18.8396i | 1.26597 | − | 1.41607i | ||||
\(178\) | −3.24641 | + | 1.87432i | −0.243329 | + | 0.140486i | ||||
\(179\) | − | 13.1221i | − | 0.980789i | −0.871501 | − | 0.490395i | \(-0.836853\pi\) | ||
0.871501 | − | 0.490395i | \(-0.163147\pi\) | |||||||
\(180\) | 0.599278 | + | 5.33751i | 0.0446675 | + | 0.397835i | ||||
\(181\) | − | 13.3577i | − | 0.992873i | −0.868073 | − | 0.496437i | \(-0.834641\pi\) | ||
0.868073 | − | 0.496437i | \(-0.165359\pi\) | |||||||
\(182\) | 11.2594 | + | 6.37978i | 0.834602 | + | 0.472901i | ||||
\(183\) | 18.6392 | − | 6.12937i | 1.37785 | − | 0.453096i | ||||
\(184\) | 1.88319 | − | 3.26178i | 0.138831 | − | 0.240462i | ||||
\(185\) | −8.38245 | + | 14.5188i | −0.616290 | + | 1.06745i | ||||
\(186\) | −7.87817 | − | 1.64539i | −0.577656 | − | 0.120646i | ||||
\(187\) | −7.62164 | + | 4.40035i | −0.557349 | + | 0.321786i | ||||
\(188\) | 5.13604 | 0.374584 | ||||||||
\(189\) | −5.82581 | − | 12.4523i | −0.423765 | − | 0.905772i | ||||
\(190\) | 5.40150 | 0.391866 | ||||||||
\(191\) | −8.01361 | + | 4.62666i | −0.579845 | + | 0.334774i | −0.761072 | − | 0.648668i | \(-0.775326\pi\) |
0.181227 | + | 0.983441i | \(0.441993\pi\) | |||||||
\(192\) | −1.69547 | − | 0.354107i | −0.122360 | − | 0.0255554i | ||||
\(193\) | 12.2801 | − | 21.2698i | 0.883941 | − | 1.53103i | 0.0370176 | − | 0.999315i | \(-0.488214\pi\) |
0.846923 | − | 0.531716i | \(-0.178452\pi\) | |||||||
\(194\) | 2.75544 | − | 4.77256i | 0.197829 | − | 0.342650i | ||||
\(195\) | 14.4088 | − | 4.73823i | 1.03184 | − | 0.339312i | ||||
\(196\) | 6.99908 | − | 0.113205i | 0.499935 | − | 0.00808604i | ||||
\(197\) | 12.4861i | 0.889598i | 0.895630 | + | 0.444799i | \(0.146725\pi\) | ||||
−0.895630 | + | 0.444799i | \(0.853275\pi\) | |||||||
\(198\) | −5.79841 | + | 4.27592i | −0.412075 | + | 0.303876i | ||||
\(199\) | − | 0.179145i | − | 0.0126993i | −0.999980 | − | 0.00634964i | \(-0.997979\pi\) | ||
0.999980 | − | 0.00634964i | \(-0.00202117\pi\) | |||||||
\(200\) | 1.55421 | − | 0.897324i | 0.109899 | − | 0.0634504i | ||||
\(201\) | −0.658274 | + | 0.736319i | −0.0464311 | + | 0.0519359i | ||||
\(202\) | −0.216787 | − | 0.125162i | −0.0152531 | − | 0.00880637i | ||||
\(203\) | 17.3583 | − | 0.140369i | 1.21831 | − | 0.00985198i | ||||
\(204\) | 4.23048 | − | 4.73205i | 0.296193 | − | 0.331310i | ||||
\(205\) | −7.23469 | − | 12.5309i | −0.505293 | − | 0.875193i | ||||
\(206\) | 0.167931 | 0.0117003 | ||||||||
\(207\) | 6.70610 | + | 9.09390i | 0.466107 | + | 0.632069i | ||||
\(208\) | 4.89133i | 0.339152i | ||||||||
\(209\) | 3.62268 | + | 6.27467i | 0.250586 | + | 0.434028i | ||||
\(210\) | 5.41854 | − | 6.16050i | 0.373915 | − | 0.425115i | ||||
\(211\) | 7.56103 | − | 13.0961i | 0.520523 | − | 0.901572i | −0.479192 | − | 0.877710i | \(-0.659070\pi\) |
0.999715 | − | 0.0238622i | \(-0.00759629\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2.11137 | − | 10.1093i | 0.144669 | − | 0.692677i | ||||
\(214\) | 3.99540 | + | 6.92024i | 0.273120 | + | 0.473058i | ||||
\(215\) | 12.4654 | 0.850131 | ||||||||
\(216\) | 3.00935 | − | 4.23601i | 0.204760 | − | 0.288224i | ||||
\(217\) | 6.23278 | + | 10.5967i | 0.423109 | + | 0.719348i | ||||
\(218\) | −16.4141 | + | 9.47667i | −1.11170 | + | 0.641841i | ||||
\(219\) | −4.38434 | + | 20.9923i | −0.296266 | + | 1.41853i | ||||
\(220\) | −3.72350 | − | 2.14977i | −0.251039 | − | 0.144937i | ||||
\(221\) | −15.5236 | − | 8.96254i | −1.04423 | − | 0.602885i | ||||
\(222\) | 15.4073 | − | 5.06658i | 1.03407 | − | 0.340047i | ||||
\(223\) | −7.27049 | + | 4.19762i | −0.486868 | + | 0.281093i | −0.723274 | − | 0.690561i | \(-0.757364\pi\) |
0.236406 | + | 0.971654i | \(0.424030\pi\) | |||||||
\(224\) | 1.34136 | + | 2.28052i | 0.0896234 | + | 0.152373i | ||||
\(225\) | 0.600717 | + | 5.35033i | 0.0400478 | + | 0.356688i | ||||
\(226\) | −1.15953 | −0.0771306 | ||||||||
\(227\) | 1.21261 | + | 2.10030i | 0.0804836 | + | 0.139402i | 0.903458 | − | 0.428677i | \(-0.141020\pi\) |
−0.822974 | + | 0.568079i | \(0.807687\pi\) | |||||||
\(228\) | −3.89576 | − | 3.48283i | −0.258003 | − | 0.230656i | ||||
\(229\) | 1.74915 | + | 1.00987i | 0.115587 | + | 0.0667344i | 0.556679 | − | 0.830728i | \(-0.312075\pi\) |
−0.441092 | + | 0.897462i | \(0.645409\pi\) | |||||||
\(230\) | −3.37157 | + | 5.83973i | −0.222315 | + | 0.385061i | ||||
\(231\) | 10.7905 | + | 2.16273i | 0.709961 | + | 0.142297i | ||||
\(232\) | 3.28052 | + | 5.68202i | 0.215376 | + | 0.373043i | ||||
\(233\) | − | 12.7289i | − | 0.833899i | −0.908930 | − | 0.416950i | \(-0.863099\pi\) | ||
0.908930 | − | 0.416950i | \(-0.136901\pi\) | |||||||
\(234\) | −13.4473 | − | 5.87327i | −0.879079 | − | 0.383948i | ||||
\(235\) | −9.19531 | −0.599836 | ||||||||
\(236\) | −7.29501 | − | 12.6353i | −0.474864 | − | 0.822489i | ||||
\(237\) | −1.64302 | − | 4.99637i | −0.106726 | − | 0.324549i | ||||
\(238\) | −9.69548 | + | 0.0784032i | −0.628464 | + | 0.00508212i | ||||
\(239\) | 15.1117 | + | 8.72474i | 0.977494 | + | 0.564356i | 0.901513 | − | 0.432753i | \(-0.142458\pi\) |
0.0759814 | + | 0.997109i | \(0.475791\pi\) | |||||||
\(240\) | 3.03548 | + | 0.633975i | 0.195939 | + | 0.0409229i | ||||
\(241\) | 9.90142 | − | 5.71659i | 0.637807 | − | 0.368238i | −0.145963 | − | 0.989290i | \(-0.546628\pi\) |
0.783769 | + | 0.621052i | \(0.213295\pi\) | |||||||
\(242\) | 5.23278i | 0.336376i | ||||||||
\(243\) | 8.03223 | + | 13.3598i | 0.515268 | + | 0.857029i | ||||
\(244\) | − | 11.3283i | − | 0.725219i | ||||||
\(245\) | −12.5308 | + | 0.202676i | −0.800564 | + | 0.0129485i | ||||
\(246\) | −2.86185 | + | 13.7026i | −0.182465 | + | 0.873643i | ||||
\(247\) | −7.37859 | + | 12.7801i | −0.469489 | + | 0.813178i | ||||
\(248\) | −2.32330 | + | 4.02408i | −0.147530 | + | 0.255529i | ||||
\(249\) | −7.57788 | − | 23.0441i | −0.480228 | − | 1.46036i | ||||
\(250\) | −10.5350 | + | 6.08240i | −0.666293 | + | 0.384685i | ||||
\(251\) | −27.3560 | −1.72669 | −0.863347 | − | 0.504611i | \(-0.831636\pi\) | ||||
−0.863347 | + | 0.504611i | \(0.831636\pi\) | |||||||
\(252\) | −7.88027 | + | 0.949357i | −0.496411 | + | 0.0598039i | ||||
\(253\) | −9.04499 | −0.568653 | ||||||||
\(254\) | 1.21374 | − | 0.700752i | 0.0761567 | − | 0.0439691i | ||||
\(255\) | −7.57405 | + | 8.47203i | −0.474305 | + | 0.530539i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 1.74837 | − | 3.02826i | 0.109060 | − | 0.188898i | −0.806330 | − | 0.591466i | \(-0.798549\pi\) |
0.915390 | + | 0.402569i | \(0.131883\pi\) | |||||||
\(258\) | −8.99047 | − | 8.03754i | −0.559722 | − | 0.500396i | ||||
\(259\) | −21.5552 | − | 12.2136i | −1.33937 | − | 0.758914i | ||||
\(260\) | − | 8.75718i | − | 0.543097i | ||||||
\(261\) | −19.5602 | + | 2.19615i | −1.21075 | + | 0.135938i | ||||
\(262\) | 10.4918i | 0.648184i | ||||||||
\(263\) | −8.35150 | + | 4.82174i | −0.514976 | + | 0.297321i | −0.734877 | − | 0.678201i | \(-0.762760\pi\) |
0.219901 | + | 0.975522i | \(0.429427\pi\) | |||||||
\(264\) | 1.29938 | + | 3.95136i | 0.0799712 | + | 0.243190i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0.0645470 | + | 7.98200i | 0.00395763 | + | 0.489408i | ||||
\(267\) | −6.35568 | − | 1.32741i | −0.388961 | − | 0.0812365i | ||||
\(268\) | 0.285115 | + | 0.493834i | 0.0174162 | + | 0.0301657i | ||||
\(269\) | −6.91107 | −0.421376 | −0.210688 | − | 0.977553i | \(-0.567570\pi\) | ||||
−0.210688 | + | 0.977553i | \(0.567570\pi\) | |||||||
\(270\) | −5.38779 | + | 7.58394i | −0.327891 | + | 0.461544i | ||||
\(271\) | − | 20.6312i | − | 1.25326i | −0.779318 | − | 0.626629i | \(-0.784434\pi\) | ||
0.779318 | − | 0.626629i | \(-0.215566\pi\) | |||||||
\(272\) | −1.83233 | − | 3.17369i | −0.111101 | − | 0.192433i | ||||
\(273\) | 7.17404 | + | 21.2358i | 0.434193 | + | 1.28525i | ||||
\(274\) | −2.36028 | + | 4.08812i | −0.142590 | + | 0.246973i | ||||
\(275\) | −3.73244 | − | 2.15493i | −0.225075 | − | 0.129947i | ||||
\(276\) | 6.19710 | − | 2.03787i | 0.373021 | − | 0.122665i | ||||
\(277\) | 7.75718 | + | 13.4358i | 0.466084 | + | 0.807281i | 0.999250 | − | 0.0387296i | \(-0.0123311\pi\) |
−0.533166 | + | 0.846011i | \(0.678998\pi\) | |||||||
\(278\) | −2.36375 | −0.141768 | ||||||||
\(279\) | −8.27336 | − | 11.2192i | −0.495313 | − | 0.671675i | ||||
\(280\) | −2.40150 | − | 4.08292i | −0.143517 | − | 0.244001i | ||||
\(281\) | 11.7759 | − | 6.79883i | 0.702492 | − | 0.405584i | −0.105783 | − | 0.994389i | \(-0.533735\pi\) |
0.808275 | + | 0.588805i | \(0.200401\pi\) | |||||||
\(282\) | 6.63199 | + | 5.92904i | 0.394929 | + | 0.353069i | ||||
\(283\) | −4.71796 | − | 2.72392i | −0.280454 | − | 0.161920i | 0.353175 | − | 0.935557i | \(-0.385102\pi\) |
−0.633629 | + | 0.773637i | \(0.718435\pi\) | |||||||
\(284\) | −5.16371 | − | 2.98127i | −0.306410 | − | 0.176906i | ||||
\(285\) | 6.97477 | + | 6.23549i | 0.413150 | + | 0.369359i | ||||
\(286\) | 10.1728 | − | 5.87327i | 0.601530 | − | 0.347294i | ||||
\(287\) | 18.4308 | − | 10.8407i | 1.08794 | − | 0.639907i | ||||
\(288\) | −1.78052 | − | 2.41449i | −0.104918 | − | 0.142275i | ||||
\(289\) | −3.57023 | −0.210014 | ||||||||
\(290\) | −5.87327 | − | 10.1728i | −0.344890 | − | 0.597368i | ||||
\(291\) | 9.06743 | − | 2.98176i | 0.531542 | − | 0.174794i | ||||
\(292\) | 10.7226 | + | 6.19070i | 0.627493 | + | 0.362284i | ||||
\(293\) | 12.2311 | − | 21.1849i | 0.714550 | − | 1.23764i | −0.248583 | − | 0.968610i | \(-0.579965\pi\) |
0.963133 | − | 0.269026i | \(-0.0867017\pi\) | |||||||
\(294\) | 9.16835 | + | 7.93356i | 0.534709 | + | 0.462694i | ||||
\(295\) | 13.0606 | + | 22.6216i | 0.760418 | + | 1.31708i | ||||
\(296\) | − | 9.36404i | − | 0.544274i | ||||||
\(297\) | −12.4234 | − | 1.17234i | −0.720878 | − | 0.0680260i | ||||
\(298\) | −17.3640 | −1.00587 | ||||||||
\(299\) | −9.21130 | − | 15.9544i | −0.532703 | − | 0.922670i | ||||
\(300\) | 3.04277 | + | 0.635497i | 0.175674 | + | 0.0366904i | ||||
\(301\) | 0.148959 | + | 18.4205i | 0.00858585 | + | 1.06174i | ||||
\(302\) | 9.72787 | + | 5.61639i | 0.559776 | + | 0.323187i | ||||
\(303\) | −0.135442 | − | 0.411876i | −0.00778097 | − | 0.0236617i | ||||
\(304\) | −2.61281 | + | 1.50851i | −0.149855 | + | 0.0865187i | ||||
\(305\) | 20.2816i | 1.16132i | ||||||||
\(306\) | 10.9253 | − | 1.22666i | 0.624561 | − | 0.0701236i | ||||
\(307\) | 31.2223i | 1.78195i | 0.454053 | + | 0.890975i | \(0.349978\pi\) | ||||
−0.454053 | + | 0.890975i | \(0.650022\pi\) | |||||||
\(308\) | 3.13229 | − | 5.52805i | 0.178479 | − | 0.314990i | ||||
\(309\) | 0.216844 | + | 0.193860i | 0.0123358 | + | 0.0110283i | ||||
\(310\) | 4.15953 | − | 7.20451i | 0.236245 | − | 0.409189i | ||||
\(311\) | −5.45501 | + | 9.44836i | −0.309325 | + | 0.535767i | −0.978215 | − | 0.207594i | \(-0.933437\pi\) |
0.668889 | + | 0.743362i | \(0.266770\pi\) | |||||||
\(312\) | −5.64654 | + | 6.31599i | −0.319672 | + | 0.357573i | ||||
\(313\) | 2.96532 | − | 1.71203i | 0.167610 | − | 0.0967694i | −0.413849 | − | 0.910346i | \(-0.635816\pi\) |
0.581458 | + | 0.813576i | \(0.302482\pi\) | |||||||
\(314\) | 13.8431 | 0.781210 | ||||||||
\(315\) | 14.1084 | − | 1.69968i | 0.794921 | − | 0.0957662i | ||||
\(316\) | −3.03663 | −0.170824 | ||||||||
\(317\) | 16.4953 | − | 9.52357i | 0.926468 | − | 0.534897i | 0.0407755 | − | 0.999168i | \(-0.487017\pi\) |
0.885693 | + | 0.464272i | \(0.153684\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 7.87817 | − | 13.6454i | 0.441093 | − | 0.763995i | ||||
\(320\) | 0.895175 | − | 1.55049i | 0.0500418 | − | 0.0866749i | ||||
\(321\) | −2.82960 | + | 13.5481i | −0.157933 | + | 0.756183i | ||||
\(322\) | −8.66988 | − | 4.91251i | −0.483153 | − | 0.273763i | ||||
\(323\) | − | 11.0563i | − | 0.615191i | ||||||
\(324\) | 8.77592 | − | 1.99582i | 0.487551 | − | 0.110879i | ||||
\(325\) | − | 8.77821i | − | 0.486927i | ||||||
\(326\) | −3.75489 | + | 2.16789i | −0.207964 | + | 0.120068i | ||||
\(327\) | −32.1348 | − | 6.71150i | −1.77706 | − | 0.371147i | ||||
\(328\) | 6.99911 | + | 4.04094i | 0.386461 | + | 0.223123i | ||||
\(329\) | −0.109882 | − | 13.5882i | −0.00605801 | − | 0.749144i | ||||
\(330\) | −2.32634 | − | 7.07432i | −0.128061 | − | 0.389429i | ||||
\(331\) | −0.0366251 | − | 0.0634366i | −0.00201310 | − | 0.00348679i | 0.865017 | − | 0.501742i | \(-0.167307\pi\) |
−0.867030 | + | 0.498256i | \(0.833974\pi\) | |||||||
\(332\) | −14.0054 | −0.768646 | ||||||||
\(333\) | 25.7438 | + | 11.2439i | 1.41075 | + | 0.616161i | ||||
\(334\) | 12.4151i | 0.679325i | ||||||||
\(335\) | −0.510456 | − | 0.884136i | −0.0278892 | − | 0.0483055i | ||||
\(336\) | −0.900574 | + | 4.49321i | −0.0491303 | + | 0.245125i | ||||
\(337\) | 1.11639 | − | 1.93364i | 0.0608136 | − | 0.105332i | −0.834016 | − | 0.551741i | \(-0.813964\pi\) |
0.894829 | + | 0.446408i | \(0.147297\pi\) | |||||||
\(338\) | 9.46139 | + | 5.46254i | 0.514632 | + | 0.297123i | ||||
\(339\) | −1.49726 | − | 1.33856i | −0.0813198 | − | 0.0727004i | ||||
\(340\) | 3.28052 | + | 5.68202i | 0.177911 | + | 0.308151i | ||||
\(341\) | 11.1589 | 0.604286 | ||||||||
\(342\) | −1.00987 | − | 8.99452i | −0.0546077 | − | 0.486368i | ||||
\(343\) | −0.449242 | − | 18.5148i | −0.0242568 | − | 0.999706i | ||||
\(344\) | −6.02973 | + | 3.48127i | −0.325101 | + | 0.187697i | ||||
\(345\) | −11.0950 | + | 3.64850i | −0.597333 | + | 0.196429i | ||||
\(346\) | 15.0846 | + | 8.70908i | 0.810952 | + | 0.468203i | ||||
\(347\) | 27.5751 | + | 15.9205i | 1.48031 | + | 0.854656i | 0.999751 | − | 0.0223084i | \(-0.00710156\pi\) |
0.480556 | + | 0.876964i | \(0.340435\pi\) | |||||||
\(348\) | −2.32330 | + | 11.1240i | −0.124542 | + | 0.596310i | ||||
\(349\) | −12.7613 | + | 7.36772i | −0.683095 | + | 0.394385i | −0.801020 | − | 0.598637i | \(-0.795709\pi\) |
0.117925 | + | 0.993022i | \(0.462376\pi\) | |||||||
\(350\) | −2.40727 | − | 4.09272i | −0.128674 | − | 0.218765i | ||||
\(351\) | −10.5839 | − | 23.1075i | −0.564929 | − | 1.23339i | ||||
\(352\) | 2.40150 | 0.128001 | ||||||||
\(353\) | −1.07979 | − | 1.87025i | −0.0574713 | − | 0.0995431i | 0.835858 | − | 0.548945i | \(-0.184970\pi\) |
−0.893330 | + | 0.449402i | \(0.851637\pi\) | |||||||
\(354\) | 5.16642 | − | 24.7369i | 0.274592 | − | 1.31475i | ||||
\(355\) | 9.24484 | + | 5.33751i | 0.490665 | + | 0.283286i | ||||
\(356\) | −1.87432 | + | 3.24641i | −0.0993385 | + | 0.172059i | ||||
\(357\) | −12.6099 | − | 11.0912i | −0.667388 | − | 0.587009i | ||||
\(358\) | −6.56103 | − | 11.3640i | −0.346761 | − | 0.600608i | ||||
\(359\) | 32.6448i | 1.72293i | 0.507820 | + | 0.861463i | \(0.330451\pi\) | ||||
−0.507820 | + | 0.861463i | \(0.669549\pi\) | |||||||
\(360\) | 3.18775 | + | 4.32278i | 0.168009 | + | 0.227831i | ||||
\(361\) | 9.89765 | 0.520929 | ||||||||
\(362\) | −6.67887 | − | 11.5681i | −0.351034 | − | 0.608008i | ||||
\(363\) | −6.04071 | + | 6.75690i | −0.317055 | + | 0.354645i | ||||
\(364\) | 12.9408 | − | 0.104647i | 0.678283 | − | 0.00548498i | ||||
\(365\) | −19.1972 | − | 11.0835i | −1.00483 | − | 0.580138i | ||||
\(366\) | 13.0774 | − | 14.6278i | 0.683564 | − | 0.764608i | ||||
\(367\) | 25.7212 | − | 14.8501i | 1.34264 | − | 0.775171i | 0.355442 | − | 0.934698i | \(-0.384330\pi\) |
0.987194 | + | 0.159527i | \(0.0509969\pi\) | |||||||
\(368\) | − | 3.76638i | − | 0.196336i | ||||||
\(369\) | −19.5136 | + | 14.3899i | −1.01584 | + | 0.749109i | ||||
\(370\) | 16.7649i | 0.871566i | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −7.64539 | + | 2.51413i | −0.396395 | + | 0.130352i | ||||
\(373\) | 1.00836 | − | 1.74653i | 0.0522109 | − | 0.0904320i | −0.838739 | − | 0.544534i | \(-0.816707\pi\) |
0.890950 | + | 0.454102i | \(0.150040\pi\) | |||||||
\(374\) | −4.40035 | + | 7.62164i | −0.227537 | + | 0.394105i | ||||
\(375\) | −20.6250 | − | 4.30763i | −1.06507 | − | 0.222445i | ||||
\(376\) | 4.44794 | − | 2.56802i | 0.229385 | − | 0.132436i | ||||
\(377\) | 32.0921 | 1.65283 | ||||||||
\(378\) | −11.2715 | − | 7.87111i | −0.579741 | − | 0.404846i | ||||
\(379\) | −18.8709 | −0.969332 | −0.484666 | − | 0.874699i | \(-0.661059\pi\) | ||||
−0.484666 | + | 0.874699i | \(0.661059\pi\) | |||||||
\(380\) | 4.67784 | − | 2.70075i | 0.239968 | − | 0.138546i | ||||
\(381\) | 2.37620 | + | 0.496282i | 0.121737 | + | 0.0254253i | ||||
\(382\) | −4.62666 | + | 8.01361i | −0.236721 | + | 0.410012i | ||||
\(383\) | −0.418256 | + | 0.724440i | −0.0213719 | + | 0.0370172i | −0.876514 | − | 0.481377i | \(-0.840137\pi\) |
0.855142 | + | 0.518394i | \(0.173470\pi\) | |||||||
\(384\) | −1.64537 | + | 0.541068i | −0.0839650 | + | 0.0276113i | ||||
\(385\) | −5.60790 | + | 9.89714i | −0.285805 | + | 0.504405i | ||||
\(386\) | − | 24.5602i | − | 1.25008i | ||||||
\(387\) | −2.33055 | − | 20.7572i | −0.118468 | − | 1.05515i | ||||
\(388\) | − | 5.51087i | − | 0.279772i | ||||||
\(389\) | 21.4964 | − | 12.4109i | 1.08991 | − | 0.629260i | 0.156357 | − | 0.987701i | \(-0.450025\pi\) |
0.933552 | + | 0.358441i | \(0.116692\pi\) | |||||||
\(390\) | 10.1093 | − | 11.3078i | 0.511903 | − | 0.572595i | ||||
\(391\) | 11.9533 | + | 6.90127i | 0.604507 | + | 0.349012i | ||||
\(392\) | 6.00478 | − | 3.59758i | 0.303287 | − | 0.181705i | ||||
\(393\) | −12.1117 | + | 13.5477i | −0.610954 | + | 0.683389i | ||||
\(394\) | 6.24305 | + | 10.8133i | 0.314520 | + | 0.544765i | ||||
\(395\) | 5.43662 | 0.273546 | ||||||||
\(396\) | −2.88361 | + | 6.60226i | −0.144907 | + | 0.331776i | ||||
\(397\) | 3.03390i | 0.152267i | 0.997098 | + | 0.0761336i | \(0.0242575\pi\) | ||||
−0.997098 | + | 0.0761336i | \(0.975742\pi\) | |||||||
\(398\) | −0.0895727 | − | 0.155144i | −0.00448987 | − | 0.00777669i | ||||
\(399\) | −9.13106 | + | 10.3814i | −0.457125 | + | 0.519719i | ||||
\(400\) | 0.897324 | − | 1.55421i | 0.0448662 | − | 0.0777105i | ||||
\(401\) | 11.3251 | + | 6.53854i | 0.565548 | + | 0.326519i | 0.755369 | − | 0.655300i | \(-0.227458\pi\) |
−0.189822 | + | 0.981819i | \(0.560791\pi\) | |||||||
\(402\) | −0.201923 | + | 0.966808i | −0.0100710 | + | 0.0482200i | ||||
\(403\) | 11.3640 | + | 19.6831i | 0.566083 | + | 0.980485i | ||||
\(404\) | −0.250324 | −0.0124541 | ||||||||
\(405\) | −15.7120 | + | 3.57322i | −0.780733 | + | 0.177555i | ||||
\(406\) | 14.9625 | − | 8.80071i | 0.742578 | − | 0.436772i | ||||
\(407\) | −19.4750 | + | 11.2439i | −0.965339 | + | 0.557339i | ||||
\(408\) | 1.29768 | − | 6.21332i | 0.0642448 | − | 0.307605i | ||||
\(409\) | 4.82124 | + | 2.78354i | 0.238395 | + | 0.137637i | 0.614439 | − | 0.788965i | \(-0.289382\pi\) |
−0.376044 | + | 0.926602i | \(0.622716\pi\) | |||||||
\(410\) | −12.5309 | − | 7.23469i | −0.618855 | − | 0.357296i | ||||
\(411\) | −7.76707 | + | 2.55414i | −0.383121 | + | 0.125987i | ||||
\(412\) | 0.145433 | − | 0.0839657i | 0.00716496 | − | 0.00413669i | ||||
\(413\) | −33.2728 | + | 19.5705i | −1.63725 | + | 0.963000i | ||||
\(414\) | 10.3546 | + | 4.52249i | 0.508901 | + | 0.222268i | ||||
\(415\) | 25.0746 | 1.23086 | ||||||||
\(416\) | 2.44566 | + | 4.23601i | 0.119908 | + | 0.207688i | ||||
\(417\) | −3.05223 | − | 2.72871i | −0.149468 | − | 0.133625i | ||||
\(418\) | 6.27467 | + | 3.62268i | 0.306904 | + | 0.177191i | ||||
\(419\) | 8.19938 | − | 14.2017i | 0.400566 | − | 0.693800i | −0.593228 | − | 0.805034i | \(-0.702147\pi\) |
0.993794 | + | 0.111234i | \(0.0354802\pi\) | |||||||
\(420\) | 1.61234 | − | 8.04442i | 0.0786742 | − | 0.392528i | ||||
\(421\) | −7.72892 | − | 13.3869i | −0.376684 | − | 0.652437i | 0.613893 | − | 0.789389i | \(-0.289603\pi\) |
−0.990578 | + | 0.136952i | \(0.956269\pi\) | |||||||
\(422\) | − | 15.1221i | − | 0.736131i | ||||||
\(423\) | 1.71917 | + | 15.3119i | 0.0835889 | + | 0.744491i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 3.28839 | + | 5.69566i | 0.159510 | + | 0.276280i | ||||
\(426\) | −3.22614 | − | 9.81058i | −0.156307 | − | 0.475324i | ||||
\(427\) | −29.9708 | + | 0.242361i | −1.45039 | + | 0.0117287i | ||||
\(428\) | 6.92024 | + | 3.99540i | 0.334502 | + | 0.193125i | ||||
\(429\) | 19.9159 | + | 4.15953i | 0.961547 | + | 0.200824i | ||||
\(430\) | 10.7953 | − | 6.23269i | 0.520597 | − | 0.300567i | ||||
\(431\) | − | 25.0266i | − | 1.20549i | −0.797935 | − | 0.602744i | \(-0.794074\pi\) | ||
0.797935 | − | 0.602744i | \(-0.205926\pi\) | |||||||
\(432\) | 0.488168 | − | 5.17317i | 0.0234870 | − | 0.248894i | ||||
\(433\) | 2.25168i | 0.108209i | 0.998535 | + | 0.0541044i | \(0.0172304\pi\) | ||||
−0.998535 | + | 0.0541044i | \(0.982770\pi\) | |||||||
\(434\) | 10.6961 | + | 6.06059i | 0.513428 | + | 0.290918i | ||||
\(435\) | 4.15953 | − | 19.9159i | 0.199434 | − | 0.954893i | ||||
\(436\) | −9.47667 | + | 16.4141i | −0.453850 | + | 0.786091i | ||||
\(437\) | 5.68161 | − | 9.84084i | 0.271788 | − | 0.470751i | ||||
\(438\) | 6.69919 | + | 20.3720i | 0.320099 | + | 0.973412i | ||||
\(439\) | 16.2293 | − | 9.37000i | 0.774583 | − | 0.447206i | −0.0599239 | − | 0.998203i | \(-0.519086\pi\) |
0.834507 | + | 0.550997i | \(0.185752\pi\) | |||||||
\(440\) | −4.29953 | −0.204972 | ||||||||
\(441\) | 2.68027 | + | 20.8283i | 0.127632 | + | 0.991822i | ||||
\(442\) | −17.9251 | −0.852609 | ||||||||
\(443\) | −1.04314 | + | 0.602256i | −0.0495610 | + | 0.0286141i | −0.524576 | − | 0.851364i | \(-0.675776\pi\) |
0.475015 | + | 0.879978i | \(0.342443\pi\) | |||||||
\(444\) | 10.8098 | − | 12.0914i | 0.513012 | − | 0.573835i | ||||
\(445\) | 3.35568 | − | 5.81221i | 0.159074 | − | 0.275525i | ||||
\(446\) | −4.19762 | + | 7.27049i | −0.198763 | + | 0.344268i | ||||
\(447\) | −22.4216 | − | 20.0450i | −1.06050 | − | 0.948097i | ||||
\(448\) | 2.30191 | + | 1.30430i | 0.108755 | + | 0.0616226i | ||||
\(449\) | 26.8022i | 1.26487i | 0.774612 | + | 0.632436i | \(0.217945\pi\) | ||||
−0.774612 | + | 0.632436i | \(0.782055\pi\) | |||||||
\(450\) | 3.19540 | + | 4.33316i | 0.150633 | + | 0.204267i | ||||
\(451\) | − | 19.4087i | − | 0.913918i | ||||||
\(452\) | −1.00418 | + | 0.579764i | −0.0472327 | + | 0.0272698i | ||||
\(453\) | 6.07770 | + | 18.4821i | 0.285555 | + | 0.868364i | ||||
\(454\) | 2.10030 | + | 1.21261i | 0.0985719 | + | 0.0569105i | ||||
\(455\) | −23.1686 | + | 0.187354i | −1.08616 | + | 0.00878331i | ||||
\(456\) | −5.11524 | − | 1.06834i | −0.239543 | − | 0.0500298i | ||||
\(457\) | −6.92442 | − | 11.9934i | −0.323911 | − | 0.561030i | 0.657381 | − | 0.753559i | \(-0.271664\pi\) |
−0.981291 | + | 0.192529i | \(0.938331\pi\) | |||||||
\(458\) | 2.01975 | 0.0943766 | ||||||||
\(459\) | 15.5236 | + | 11.0283i | 0.724578 | + | 0.514755i | ||||
\(460\) | 6.74314i | 0.314401i | ||||||||
\(461\) | 2.40241 | + | 4.16110i | 0.111892 | + | 0.193802i | 0.916533 | − | 0.399959i | \(-0.130976\pi\) |
−0.804641 | + | 0.593761i | \(0.797642\pi\) | |||||||
\(462\) | 10.4262 | − | 3.52225i | 0.485070 | − | 0.163870i | ||||
\(463\) | 10.5194 | − | 18.2201i | 0.488877 | − | 0.846760i | −0.511041 | − | 0.859556i | \(-0.670740\pi\) |
0.999918 | + | 0.0127960i | \(0.00407321\pi\) | |||||||
\(464\) | 5.68202 | + | 3.28052i | 0.263781 | + | 0.152294i | ||||
\(465\) | 13.6879 | − | 4.50118i | 0.634763 | − | 0.208737i | ||||
\(466\) | −6.36446 | − | 11.0236i | −0.294828 | − | 0.510657i | ||||
\(467\) | 5.82302 | 0.269457 | 0.134729 | − | 0.990883i | \(-0.456984\pi\) | ||||
0.134729 | + | 0.990883i | \(0.456984\pi\) | |||||||
\(468\) | −14.5824 | + | 1.63726i | −0.674070 | + | 0.0756823i | ||||
\(469\) | 1.30042 | − | 0.764885i | 0.0600478 | − | 0.0353191i | ||||
\(470\) | −7.96337 | + | 4.59766i | −0.367323 | + | 0.212074i | ||||
\(471\) | 17.8751 | + | 15.9804i | 0.823640 | + | 0.736339i | ||||
\(472\) | −12.6353 | − | 7.29501i | −0.581588 | − | 0.335780i | ||||
\(473\) | 14.4804 | + | 8.36028i | 0.665811 | + | 0.384406i | ||||
\(474\) | −3.92109 | − | 3.50548i | −0.180101 | − | 0.161012i | ||||
\(475\) | 4.68907 | − | 2.70724i | 0.215149 | − | 0.124217i | ||||
\(476\) | −8.35733 | + | 4.91564i | −0.383057 | + | 0.225308i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 17.4495 | 0.798121 | ||||||||
\(479\) | 13.4781 | + | 23.3447i | 0.615828 | + | 1.06665i | 0.990239 | + | 0.139382i | \(0.0445117\pi\) |
−0.374411 | + | 0.927263i | \(0.622155\pi\) | |||||||
\(480\) | 2.94579 | − | 0.968701i | 0.134456 | − | 0.0442150i | ||||
\(481\) | −39.6662 | − | 22.9013i | −1.80862 | − | 1.04421i | ||||
\(482\) | 5.71659 | − | 9.90142i | 0.260383 | − | 0.450997i | ||||
\(483\) | −5.52410 | − | 16.3518i | −0.251355 | − | 0.744035i | ||||
\(484\) | 2.61639 | + | 4.53172i | 0.118927 | + | 0.205987i | ||||
\(485\) | 9.86639i | 0.448010i | ||||||||
\(486\) | 13.6360 | + | 7.55378i | 0.618541 | + | 0.342646i | ||||
\(487\) | −13.6268 | −0.617487 | −0.308744 | − | 0.951145i | \(-0.599909\pi\) | ||||
−0.308744 | + | 0.951145i | \(0.599909\pi\) | |||||||
\(488\) | −5.66414 | − | 9.81058i | −0.256404 | − | 0.444104i | ||||
\(489\) | −7.35116 | − | 1.53533i | −0.332431 | − | 0.0694299i | ||||
\(490\) | −10.7507 | + | 6.44093i | −0.485665 | + | 0.290971i | ||||
\(491\) | −33.7430 | − | 19.4815i | −1.52280 | − | 0.879188i | −0.999637 | − | 0.0269544i | \(-0.991419\pi\) |
−0.523162 | − | 0.852234i | \(-0.675248\pi\) | |||||||
\(492\) | 4.37285 | + | 13.2977i | 0.197143 | + | 0.599506i | ||||
\(493\) | −20.8227 | + | 12.0220i | −0.937807 | + | 0.541443i | ||||
\(494\) | 14.7572i | 0.663957i | ||||||||
\(495\) | 5.16267 | − | 11.8203i | 0.232045 | − | 0.531285i | ||||
\(496\) | 4.64661i | 0.208639i | ||||||||
\(497\) | −7.77696 | + | 13.7252i | −0.348844 | + | 0.615660i | ||||
\(498\) | −18.0847 | − | 16.1678i | −0.810393 | − | 0.724497i | ||||
\(499\) | −13.0048 | + | 22.5250i | −0.582176 | + | 1.00836i | 0.413045 | + | 0.910711i | \(0.364465\pi\) |
−0.995221 | + | 0.0976483i | \(0.968868\pi\) | |||||||
\(500\) | −6.08240 | + | 10.5350i | −0.272013 | + | 0.471141i | ||||
\(501\) | −14.3320 | + | 16.0312i | −0.640307 | + | 0.716221i | ||||
\(502\) | −23.6910 | + | 13.6780i | −1.05738 | + | 0.610478i | ||||
\(503\) | 10.5271 | 0.469378 | 0.234689 | − | 0.972070i | \(-0.424593\pi\) | ||||
0.234689 | + | 0.972070i | \(0.424593\pi\) | |||||||
\(504\) | −6.34984 | + | 4.76230i | −0.282844 | + | 0.212130i | ||||
\(505\) | 0.448168 | 0.0199432 | ||||||||
\(506\) | −7.83319 | + | 4.52249i | −0.348228 | + | 0.201049i | ||||
\(507\) | 5.91121 | + | 17.9758i | 0.262526 | + | 0.798333i | ||||
\(508\) | 0.700752 | − | 1.21374i | 0.0310908 | − | 0.0538509i | ||||
\(509\) | 0.469435 | − | 0.813086i | 0.0208074 | − | 0.0360394i | −0.855434 | − | 0.517911i | \(-0.826710\pi\) |
0.876242 | + | 0.481872i | \(0.160043\pi\) | |||||||
\(510\) | −2.32330 | + | 11.1240i | −0.102878 | + | 0.492580i | ||||
\(511\) | 16.1491 | − | 28.5009i | 0.714395 | − | 1.26081i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 9.07925 | − | 12.7801i | 0.400859 | − | 0.564255i | ||||
\(514\) | − | 3.49673i | − | 0.154234i | ||||||
\(515\) | −0.260376 | + | 0.150328i | −0.0114735 | + | 0.00662424i | ||||
\(516\) | −11.8047 | − | 2.46548i | −0.519675 | − | 0.108537i | ||||
\(517\) | −10.6818 | − | 6.16711i | −0.469783 | − | 0.271229i | ||||
\(518\) | −24.7741 | + | 0.200338i | −1.08851 | + | 0.00880233i | ||||
\(519\) | 9.42442 | + | 28.6593i | 0.413686 | + | 1.25801i | ||||
\(520\) | −4.37859 | − | 7.58394i | −0.192014 | − | 0.332578i | ||||
\(521\) | −39.5054 | −1.73076 | −0.865382 | − | 0.501112i | \(-0.832924\pi\) | ||||
−0.865382 | + | 0.501112i | \(0.832924\pi\) | |||||||
\(522\) | −15.8415 | + | 11.6820i | −0.693366 | + | 0.511308i | ||||
\(523\) | 24.3292i | 1.06384i | 0.846794 | + | 0.531922i | \(0.178530\pi\) | ||||
−0.846794 | + | 0.531922i | \(0.821470\pi\) | |||||||
\(524\) | 5.24589 | + | 9.08614i | 0.229168 | + | 0.396930i | ||||
\(525\) | 1.61621 | − | 8.06374i | 0.0705373 | − | 0.351930i | ||||
\(526\) | −4.82174 | + | 8.35150i | −0.210238 | + | 0.364143i | ||||
\(527\) | −14.7469 | − | 8.51413i | −0.642385 | − | 0.370881i | ||||
\(528\) | 3.10098 | + | 2.77229i | 0.134953 | + | 0.120649i | ||||
\(529\) | −4.40718 | − | 7.63346i | −0.191616 | − | 0.331889i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 35.2274 | − | 25.9777i | 1.52874 | − | 1.12734i | ||||
\(532\) | 4.04690 | + | 6.88034i | 0.175455 | + | 0.298301i | ||||
\(533\) | 34.2349 | − | 19.7655i | 1.48288 | − | 0.856141i | ||||
\(534\) | −6.16789 | + | 2.02826i | −0.266911 | + | 0.0877716i | ||||
\(535\) | −12.3896 | − | 7.15316i | −0.535651 | − | 0.309258i | ||||
\(536\) | 0.493834 | + | 0.285115i | 0.0213304 | + | 0.0123151i | ||||
\(537\) | 4.64661 | − | 22.2480i | 0.200516 | − | 0.960073i | ||||
\(538\) | −5.98517 | + | 3.45554i | −0.258039 | + | 0.148979i | ||||
\(539\) | −14.6924 | − | 8.16873i | −0.632845 | − | 0.351852i | ||||
\(540\) | −0.873992 | + | 9.26178i | −0.0376106 | + | 0.398564i | ||||
\(541\) | 42.7281 | 1.83702 | 0.918512 | − | 0.395394i | \(-0.129392\pi\) | ||||
0.918512 | + | 0.395394i | \(0.129392\pi\) | |||||||
\(542\) | −10.3156 | − | 17.8672i | −0.443093 | − | 0.767460i | ||||
\(543\) | 4.73007 | − | 22.6476i | 0.202987 | − | 0.971902i | ||||
\(544\) | −3.17369 | − | 1.83233i | −0.136071 | − | 0.0785606i | ||||
\(545\) | 16.9665 | − | 29.3869i | 0.726767 | − | 1.25880i | ||||
\(546\) | 16.8308 | + | 14.8037i | 0.720292 | + | 0.633541i | ||||
\(547\) | −12.2477 | − | 21.2136i | −0.523672 | − | 0.907026i | −0.999620 | − | 0.0275530i | \(-0.991229\pi\) |
0.475949 | − | 0.879473i | \(-0.342105\pi\) | |||||||
\(548\) | 4.72056i | 0.201652i | ||||||||
\(549\) | 33.7727 | − | 3.79188i | 1.44138 | − | 0.161833i | ||||
\(550\) | −4.30986 | −0.183773 | ||||||||
\(551\) | 9.89735 | + | 17.1427i | 0.421641 | + | 0.730304i | ||||
\(552\) | 4.34791 | − | 4.86340i | 0.185059 | − | 0.207000i | ||||
\(553\) | 0.0649667 | + | 8.03389i | 0.00276266 | + | 0.341636i | ||||
\(554\) | 13.4358 | + | 7.75718i | 0.570834 | + | 0.329571i | ||||
\(555\) | −19.3534 | + | 21.6479i | −0.821506 | + | 0.918903i | ||||
\(556\) | −2.04707 | + | 1.18187i | −0.0868150 | + | 0.0501227i | ||||
\(557\) | − | 2.54431i | − | 0.107806i | −0.998546 | − | 0.0539030i | \(-0.982834\pi\) | ||
0.998546 | − | 0.0539030i | \(-0.0171662\pi\) | |||||||
\(558\) | −12.7745 | − | 5.57943i | −0.540789 | − | 0.236196i | ||||
\(559\) | 34.0560i | 1.44042i | ||||||||
\(560\) | −4.12122 | − | 2.33516i | −0.174153 | − | 0.0986786i | ||||
\(561\) | −14.4804 | + | 4.76178i | −0.611364 | + | 0.201043i | ||||
\(562\) | 6.79883 | − | 11.7759i | 0.286791 | − | 0.496737i | ||||
\(563\) | −7.90707 | + | 13.6954i | −0.333243 | + | 0.577194i | −0.983146 | − | 0.182823i | \(-0.941476\pi\) |
0.649902 | + | 0.760018i | \(0.274810\pi\) | |||||||
\(564\) | 8.70799 | + | 1.81871i | 0.366673 | + | 0.0765814i | ||||
\(565\) | 1.79783 | − | 1.03798i | 0.0756354 | − | 0.0436681i | ||||
\(566\) | −5.44783 | −0.228990 | ||||||||
\(567\) | −5.46803 | − | 23.1754i | −0.229635 | − | 0.973277i | ||||
\(568\) | −5.96254 | −0.250182 | ||||||||
\(569\) | −5.52793 | + | 3.19155i | −0.231743 | + | 0.133797i | −0.611376 | − | 0.791340i | \(-0.709384\pi\) |
0.379633 | + | 0.925137i | \(0.376050\pi\) | |||||||
\(570\) | 9.15807 | + | 1.91271i | 0.383589 | + | 0.0801145i | ||||
\(571\) | 3.91188 | − | 6.77557i | 0.163707 | − | 0.283549i | −0.772488 | − | 0.635029i | \(-0.780988\pi\) |
0.936195 | + | 0.351480i | \(0.114322\pi\) | |||||||
\(572\) | 5.87327 | − | 10.1728i | 0.245574 | − | 0.425346i | ||||
\(573\) | −15.2252 | + | 5.00668i | −0.636040 | + | 0.209157i | ||||
\(574\) | 10.5412 | − | 18.6038i | 0.439982 | − | 0.776506i | ||||
\(575\) | 6.75933i | 0.281884i | ||||||||
\(576\) | −2.74922 | − | 1.20075i | −0.114551 | − | 0.0500313i | ||||
\(577\) | − | 14.3197i | − | 0.596138i | −0.954544 | − | 0.298069i | \(-0.903657\pi\) | ||
0.954544 | − | 0.298069i | \(-0.0963425\pi\) | |||||||
\(578\) | −3.09191 | + | 1.78512i | −0.128607 | + | 0.0742510i | ||||
\(579\) | 28.3523 | − | 31.7137i | 1.17828 | − | 1.31798i | ||||
\(580\) | −10.1728 | − | 5.87327i | −0.422403 | − | 0.243874i | ||||
\(581\) | 0.299637 | + | 37.0536i | 0.0124310 | + | 1.53724i | ||||
\(582\) | 6.36175 | − | 7.11600i | 0.263703 | − | 0.294968i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 12.3814 | 0.512346 | ||||||||
\(585\) | 26.1075 | − | 2.93126i | 1.07941 | − | 0.121193i | ||||
\(586\) | − | 24.4622i | − | 1.01053i | ||||||
\(587\) | −2.37575 | − | 4.11492i | −0.0980577 | − | 0.169841i | 0.812823 | − | 0.582511i | \(-0.197930\pi\) |
−0.910881 | + | 0.412670i | \(0.864596\pi\) | |||||||
\(588\) | 11.9068 | + | 2.28649i | 0.491028 | + | 0.0942931i | ||||
\(589\) | −7.00943 | + | 12.1407i | −0.288819 | + | 0.500249i | ||||
\(590\) | 22.6216 | + | 13.0606i | 0.931318 | + | 0.537697i | ||||
\(591\) | −4.42141 | + | 21.1698i | −0.181873 | + | 0.870808i | ||||
\(592\) | −4.68202 | − | 8.10950i | −0.192430 | − | 0.333298i | ||||
\(593\) | 3.58070 | 0.147042 | 0.0735208 | − | 0.997294i | \(-0.476576\pi\) | ||||
0.0735208 | + | 0.997294i | \(0.476576\pi\) | |||||||
\(594\) | −11.3451 | + | 5.19642i | −0.465497 | + | 0.213212i | ||||
\(595\) | 14.9625 | − | 8.80071i | 0.613404 | − | 0.360794i | ||||
\(596\) | −15.0377 | + | 8.68202i | −0.615968 | + | 0.355629i | ||||
\(597\) | 0.0634366 | − | 0.303735i | 0.00259629 | − | 0.0124311i | ||||
\(598\) | −15.9544 | − | 9.21130i | −0.652426 | − | 0.376678i | ||||
\(599\) | −13.0471 | − | 7.53277i | −0.533091 | − | 0.307780i | 0.209183 | − | 0.977877i | \(-0.432920\pi\) |
−0.742274 | + | 0.670096i | \(0.766253\pi\) | |||||||
\(600\) | 2.95286 | − | 0.971027i | 0.120550 | − | 0.0396420i | ||||
\(601\) | −19.8704 | + | 11.4722i | −0.810530 | + | 0.467960i | −0.847140 | − | 0.531370i | \(-0.821678\pi\) |
0.0366096 | + | 0.999330i | \(0.488344\pi\) | |||||||
\(602\) | 9.33927 | + | 15.8782i | 0.380640 | + | 0.647146i | ||||
\(603\) | −1.37682 | + | 1.01531i | −0.0560683 | + | 0.0413464i | ||||
\(604\) | 11.2328 | 0.457055 | ||||||||
\(605\) | −4.68425 | − | 8.11336i | −0.190442 | − | 0.329855i | ||||
\(606\) | −0.323235 | − | 0.288974i | −0.0131305 | − | 0.0117388i | ||||
\(607\) | 21.2030 | + | 12.2416i | 0.860605 | + | 0.496870i | 0.864215 | − | 0.503123i | \(-0.167816\pi\) |
−0.00360990 | + | 0.999993i | \(0.501149\pi\) | |||||||
\(608\) | −1.50851 | + | 2.61281i | −0.0611780 | + | 0.105963i | ||||
\(609\) | 29.4801 | + | 5.90869i | 1.19459 | + | 0.239432i | ||||
\(610\) | 10.1408 | + | 17.5644i | 0.410589 | + | 0.711161i | ||||
\(611\) | − | 25.1221i | − | 1.01633i | ||||||
\(612\) | 8.84830 | − | 6.52499i | 0.357671 | − | 0.263757i | ||||
\(613\) | −0.880086 | −0.0355463 | −0.0177732 | − | 0.999842i | \(-0.505658\pi\) | ||||
−0.0177732 | + | 0.999842i | \(0.505658\pi\) | |||||||
\(614\) | 15.6111 | + | 27.0393i | 0.630014 | + | 1.09122i | ||||
\(615\) | −7.82892 | − | 23.8075i | −0.315693 | − | 0.960011i | ||||
\(616\) | −0.0513786 | − | 6.35358i | −0.00207010 | − | 0.255993i | ||||
\(617\) | −11.7607 | − | 6.79005i | −0.473468 | − | 0.273357i | 0.244222 | − | 0.969719i | \(-0.421467\pi\) |
−0.717690 | + | 0.696362i | \(0.754801\pi\) | |||||||
\(618\) | 0.284722 | + | 0.0594656i | 0.0114532 | + | 0.00239206i | ||||
\(619\) | −30.7325 | + | 17.7434i | −1.23524 | + | 0.713169i | −0.968118 | − | 0.250493i | \(-0.919407\pi\) |
−0.267126 | + | 0.963662i | \(0.586074\pi\) | |||||||
\(620\) | − | 8.31905i | − | 0.334101i | ||||||
\(621\) | 8.14977 | + | 17.7931i | 0.327039 | + | 0.714012i | ||||
\(622\) | 10.9100i | 0.437452i | ||||||||
\(623\) | 8.62901 | + | 4.88936i | 0.345714 | + | 0.195888i | ||||
\(624\) | −1.73205 | + | 8.29308i | −0.0693375 | + | 0.331989i | ||||
\(625\) | 6.40300 | − | 11.0903i | 0.256120 | − | 0.443613i | ||||
\(626\) | 1.71203 | − | 2.96532i | 0.0684263 | − | 0.118518i | ||||
\(627\) | 3.92024 | + | 11.9213i | 0.156559 | + | 0.476091i | ||||
\(628\) | 11.9885 | − | 6.92154i | 0.478391 | − | 0.276199i | ||||
\(629\) | 34.3161 | 1.36827 | ||||||||
\(630\) | 11.3684 | − | 8.52619i | 0.452929 | − | 0.339692i | ||||
\(631\) | 26.9822 | 1.07415 | 0.537073 | − | 0.843536i | \(-0.319530\pi\) | ||||
0.537073 | + | 0.843536i | \(0.319530\pi\) | |||||||
\(632\) | −2.62979 | + | 1.51831i | −0.104608 | + | 0.0603952i | ||||
\(633\) | 17.4569 | − | 19.5266i | 0.693849 | − | 0.776112i | ||||
\(634\) | 9.52357 | − | 16.4953i | 0.378229 | − | 0.655112i | ||||
\(635\) | −1.25459 | + | 2.17302i | −0.0497869 | + | 0.0862335i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.553721 | − | 34.2348i | −0.0219392 | − | 1.35643i | ||||
\(638\) | − | 15.7563i | − | 0.623800i | ||||||
\(639\) | 7.15953 | − | 16.3923i | 0.283227 | − | 0.648470i | ||||
\(640\) | − | 1.79035i | − | 0.0707698i | ||||||
\(641\) | 0.932777 | − | 0.538539i | 0.0368425 | − | 0.0212710i | −0.481466 | − | 0.876465i | \(-0.659895\pi\) |
0.518308 | + | 0.855194i | \(0.326562\pi\) | |||||||
\(642\) | 4.32357 | + | 13.1478i | 0.170638 | + | 0.518903i | ||||
\(643\) | 33.3126 | + | 19.2330i | 1.31372 | + | 0.758477i | 0.982710 | − | 0.185150i | \(-0.0592773\pi\) |
0.331010 | + | 0.943627i | \(0.392611\pi\) | |||||||
\(644\) | −9.96459 | + | 0.0805794i | −0.392660 | + | 0.00317527i | ||||
\(645\) | 21.1346 | + | 4.41407i | 0.832175 | + | 0.173804i | ||||
\(646\) | −5.52817 | − | 9.57507i | −0.217503 | − | 0.376726i | ||||
\(647\) | −8.95210 | −0.351943 | −0.175972 | − | 0.984395i | \(-0.556307\pi\) | ||||
−0.175972 | + | 0.984395i | \(0.556307\pi\) | |||||||
\(648\) | 6.60226 | − | 6.11639i | 0.259361 | − | 0.240274i | ||||
\(649\) | 35.0380i | 1.37536i | ||||||||
\(650\) | −4.38910 | − | 7.60215i | −0.172155 | − | 0.298181i | ||||
\(651\) | 6.81512 | + | 20.1734i | 0.267106 | + | 0.790656i | ||||
\(652\) | −2.16789 | + | 3.75489i | −0.0849010 | + | 0.147053i | ||||
\(653\) | −9.85934 | − | 5.69229i | −0.385826 | − | 0.222757i | 0.294524 | − | 0.955644i | \(-0.404839\pi\) |
−0.680350 | + | 0.732887i | \(0.738172\pi\) | |||||||
\(654\) | −31.1853 | + | 10.2550i | −1.21944 | + | 0.401004i | ||||
\(655\) | −9.39197 | − | 16.2674i | −0.366975 | − | 0.635619i | ||||
\(656\) | 8.08188 | 0.315544 | ||||||||
\(657\) | −14.8670 | + | 34.0392i | −0.580017 | + | 1.32799i | ||||
\(658\) | −6.88929 | − | 11.7128i | −0.268572 | − | 0.456614i | ||||
\(659\) | 31.4373 | − | 18.1503i | 1.22462 | − | 0.707036i | 0.258723 | − | 0.965952i | \(-0.416698\pi\) |
0.965900 | + | 0.258915i | \(0.0833650\pi\) | |||||||
\(660\) | −5.55183 | − | 4.96337i | −0.216105 | − | 0.193199i | ||||
\(661\) | −31.2425 | − | 18.0379i | −1.21519 | − | 0.701593i | −0.251308 | − | 0.967907i | \(-0.580861\pi\) |
−0.963886 | + | 0.266315i | \(0.914194\pi\) | |||||||
\(662\) | −0.0634366 | − | 0.0366251i | −0.00246553 | − | 0.00142348i | ||||
\(663\) | −23.1460 | − | 20.6927i | −0.898916 | − | 0.803637i | ||||
\(664\) | −12.1290 | + | 7.00270i | −0.470698 | + | 0.271757i | ||||
\(665\) | −7.24536 | − | 12.3182i | −0.280963 | − | 0.477680i | ||||
\(666\) | 27.9167 | − | 3.13439i | 1.08175 | − | 0.121455i | ||||
\(667\) | −24.7114 | −0.956828 | ||||||||
\(668\) | 6.20756 | + | 10.7518i | 0.240178 | + | 0.416000i | ||||
\(669\) | −13.8133 | + | 4.54240i | −0.534052 | + | 0.175619i | ||||
\(670\) | −0.884136 | − | 0.510456i | −0.0341572 | − | 0.0197206i | ||||
\(671\) | −13.6025 | + | 23.5602i | −0.525117 | + | 0.909530i | ||||
\(672\) | 1.46669 | + | 4.34152i | 0.0565787 | + | 0.167478i | ||||
\(673\) | 4.78512 | + | 8.28806i | 0.184453 | + | 0.319481i | 0.943392 | − | 0.331680i | \(-0.107615\pi\) |
−0.758939 | + | 0.651161i | \(0.774282\pi\) | |||||||
\(674\) | − | 2.23278i | − | 0.0860034i | ||||||
\(675\) | −0.876091 | + | 9.28402i | −0.0337207 | + | 0.357342i | ||||
\(676\) | 10.9251 | 0.420195 | ||||||||
\(677\) | 7.81408 | + | 13.5344i | 0.300320 | + | 0.520169i | 0.976208 | − | 0.216835i | \(-0.0695733\pi\) |
−0.675889 | + | 0.737004i | \(0.736240\pi\) | |||||||
\(678\) | −1.96594 | − | 0.410596i | −0.0755015 | − | 0.0157689i | ||||
\(679\) | −14.5799 | + | 0.117902i | −0.559526 | + | 0.00452465i | ||||
\(680\) | 5.68202 | + | 3.28052i | 0.217896 | + | 0.125802i | ||||
\(681\) | 1.31221 | + | 3.99038i | 0.0502839 | + | 0.152912i | ||||
\(682\) | 9.66385 | − | 5.57943i | 0.370048 | − | 0.213647i | ||||
\(683\) | 11.1313i | 0.425926i | 0.977060 | + | 0.212963i | \(0.0683114\pi\) | ||||
−0.977060 | + | 0.212963i | \(0.931689\pi\) | |||||||
\(684\) | −5.37184 | − | 7.28454i | −0.205397 | − | 0.278531i | ||||
\(685\) | − | 8.45145i | − | 0.322913i | ||||||
\(686\) | −9.64646 | − | 15.8097i | −0.368304 | − | 0.603616i | ||||
\(687\) | 2.60803 | + | 2.33159i | 0.0995025 | + | 0.0889559i | ||||
\(688\) | −3.48127 | + | 6.02973i | −0.132722 | + | 0.229881i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −7.78428 | + | 8.70718i | −0.296342 | + | 0.331477i | ||||
\(691\) | 2.61903 | − | 1.51210i | 0.0996324 | − | 0.0575228i | −0.449356 | − | 0.893353i | \(-0.648346\pi\) |
0.548988 | + | 0.835830i | \(0.315013\pi\) | |||||||
\(692\) | 17.4182 | 0.662139 | ||||||||
\(693\) | 17.5291 | + | 7.48782i | 0.665874 | + | 0.284439i | ||||
\(694\) | 31.8409 | 1.20867 | ||||||||
\(695\) | 3.66497 | − | 2.11597i | 0.139020 | − | 0.0802633i | ||||
\(696\) | 3.54997 | + | 10.7953i | 0.134561 | + | 0.409196i | ||||
\(697\) | −14.8087 | + | 25.6494i | −0.560919 | + | 0.971540i | ||||
\(698\) | −7.36772 | + | 12.7613i | −0.278872 | + | 0.483021i | ||||
\(699\) | 4.50739 | − | 21.5815i | 0.170485 | − | 0.816286i | ||||
\(700\) | −4.13112 | − | 2.34077i | −0.156142 | − | 0.0884727i | ||||
\(701\) | 50.1486i | 1.89409i | 0.321103 | + | 0.947044i | \(0.395946\pi\) | ||||
−0.321103 | + | 0.947044i | \(0.604054\pi\) | |||||||
\(702\) | −20.7197 | − | 14.7197i | −0.782015 | − | 0.555560i | ||||
\(703\) | − | 28.2514i | − | 1.06552i | ||||||
\(704\) | 2.07976 | − | 1.20075i | 0.0783840 | − | 0.0452550i | ||||
\(705\) | −15.5904 | − | 3.25612i | −0.587167 | − | 0.122633i | ||||
\(706\) | −1.87025 | − | 1.07979i | −0.0703876 | − | 0.0406383i | ||||
\(707\) | 0.00535553 | + | 0.662274i | 0.000201415 | + | 0.0249074i | ||||
\(708\) | −7.89419 | − | 24.0060i | −0.296682 | − | 0.902200i | ||||
\(709\) | 1.80385 | + | 3.12436i | 0.0677449 | + | 0.117338i | 0.897908 | − | 0.440183i | \(-0.145086\pi\) |
−0.830163 | + | 0.557520i | \(0.811753\pi\) | |||||||
\(710\) | 10.6750 | 0.400626 | ||||||||
\(711\) | −1.01644 | − | 9.05299i | −0.0381195 | − | 0.339514i | ||||
\(712\) | 3.74863i | 0.140486i | ||||||||
\(713\) | −8.75046 | − | 15.1562i | −0.327707 | − | 0.567605i | ||||
\(714\) | −16.4661 | − | 3.30030i | −0.616229 | − | 0.123511i | ||||
\(715\) | −10.5152 | + | 18.2129i | −0.393246 | + | 0.681123i | ||||
\(716\) | −11.3640 | − | 6.56103i | −0.424694 | − | 0.245197i | ||||
\(717\) | 22.5319 | + | 20.1437i | 0.841469 | + | 0.752279i | ||||
\(718\) | 16.3224 | + | 28.2712i | 0.609146 | + | 1.05507i | ||||
\(719\) | −34.3161 | −1.27977 | −0.639887 | − | 0.768469i | \(-0.721019\pi\) | ||||
−0.639887 | + | 0.768469i | \(0.721019\pi\) | |||||||
\(720\) | 4.92206 | + | 2.14977i | 0.183434 | + | 0.0801171i | ||||
\(721\) | −0.225257 | − | 0.382970i | −0.00838899 | − | 0.0142626i | ||||
\(722\) | 8.57161 | − | 4.94882i | 0.319002 | − | 0.184176i | ||||
\(723\) | 18.8118 | − | 6.18613i | 0.699619 | − | 0.230065i | ||||
\(724\) | −11.5681 | − | 6.67887i | −0.429927 | − | 0.248218i | ||||
\(725\) | −10.1972 | − | 5.88737i | −0.378716 | − | 0.218651i | ||||
\(726\) | −1.85296 | + | 8.87200i | −0.0687698 | + | 0.329271i | ||||
\(727\) | 19.4757 | − | 11.2443i | 0.722315 | − | 0.417029i | −0.0932892 | − | 0.995639i | \(-0.529738\pi\) |
0.815604 | + | 0.578610i | \(0.196405\pi\) | |||||||
\(728\) | 11.1547 | − | 6.56103i | 0.413422 | − | 0.243168i | ||||
\(729\) | 8.88761 | + | 25.4953i | 0.329171 | + | 0.944270i | ||||
\(730\) | −22.1670 | −0.820439 | ||||||||
\(731\) | −12.7577 | − | 22.0970i | −0.471860 | − | 0.817285i | ||||
\(732\) | 4.01142 | − | 19.2067i | 0.148266 | − | 0.709901i | ||||
\(733\) | 27.0065 | + | 15.5922i | 0.997509 | + | 0.575912i | 0.907510 | − | 0.420030i | \(-0.137980\pi\) |
0.0899987 | + | 0.995942i | \(0.471314\pi\) | |||||||
\(734\) | 14.8501 | − | 25.7212i | 0.548129 | − | 0.949387i | ||||
\(735\) | −21.3173 | − | 4.09361i | −0.786302 | − | 0.150995i | ||||
\(736\) | −1.88319 | − | 3.26178i | −0.0694154 | − | 0.120231i | ||||
\(737\) | − | 1.36941i | − | 0.0504429i | ||||||
\(738\) | −9.70433 | + | 22.2188i | −0.357221 | + | 0.817886i | ||||
\(739\) | 4.08628 | 0.150316 | 0.0751581 | − | 0.997172i | \(-0.476054\pi\) | ||||
0.0751581 | + | 0.997172i | \(0.476054\pi\) | |||||||
\(740\) | 8.38245 | + | 14.5188i | 0.308145 | + | 0.533723i | ||||
\(741\) | −17.0357 | + | 19.0554i | −0.625821 | + | 0.700018i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1.78246 | − | 1.02910i | −0.0653921 | − | 0.0377542i | 0.466947 | − | 0.884285i | \(-0.345354\pi\) |
−0.532340 | + | 0.846531i | \(0.678687\pi\) | |||||||
\(744\) | −5.36404 | + | 6.00000i | −0.196655 | + | 0.219971i | ||||
\(745\) | 26.9227 | − | 15.5439i | 0.986373 | − | 0.569483i | ||||
\(746\) | − | 2.01672i | − | 0.0738374i | ||||||
\(747\) | −4.68798 | − | 41.7538i | −0.171524 | − | 1.52769i | ||||
\(748\) | 8.80071i | 0.321786i | ||||||||
\(749\) | 10.4224 | − | 18.3941i | 0.380828 | − | 0.672106i | ||||
\(750\) | −20.0156 | + | 6.58198i | −0.730866 | + | 0.240340i | ||||
\(751\) | −11.9053 | + | 20.6205i | −0.434429 | + | 0.752454i | −0.997249 | − | 0.0741262i | \(-0.976383\pi\) |
0.562820 | + | 0.826580i | \(0.309717\pi\) | |||||||
\(752\) | 2.56802 | − | 4.44794i | 0.0936461 | − | 0.162200i | ||||
\(753\) | −46.3811 | − | 9.68693i | −1.69022 | − | 0.353011i | ||||
\(754\) | 27.7926 | − | 16.0461i | 1.01215 | − | 0.584363i | ||||
\(755\) | −20.1106 | −0.731900 | ||||||||
\(756\) | −13.6969 | − | 1.18085i | −0.498152 | − | 0.0429472i | ||||
\(757\) | 10.0754 | 0.366197 | 0.183098 | − | 0.983095i | \(-0.441387\pi\) | ||||
0.183098 | + | 0.983095i | \(0.441387\pi\) | |||||||
\(758\) | −16.3427 | + | 9.43544i | −0.593592 | + | 0.342711i | ||||
\(759\) | −15.3355 | − | 3.20289i | −0.556642 | − | 0.116258i | ||||
\(760\) | 2.70075 | − | 4.67784i | 0.0979666 | − | 0.169683i | ||||
\(761\) | 13.9368 | − | 24.1392i | 0.505207 | − | 0.875044i | −0.494775 | − | 0.869021i | \(-0.664750\pi\) |
0.999982 | − | 0.00602283i | \(-0.00191714\pi\) | |||||||
\(762\) | 2.30599 | − | 0.758309i | 0.0835374 | − | 0.0274707i | ||||
\(763\) | 43.6289 | + | 24.7209i | 1.57947 | + | 0.894957i | ||||
\(764\) | 9.25333i | 0.334774i | ||||||||
\(765\) | −15.8415 | + | 11.6820i | −0.572752 | + | 0.422364i | ||||
\(766\) | 0.836511i | 0.0302244i | ||||||||
\(767\) | −61.8035 | + | 35.6823i | −2.23159 | + | 1.28841i | ||||
\(768\) | −1.15440 | + | 1.29126i | −0.0416558 | + | 0.0465945i | ||||
\(769\) | −6.21166 | − | 3.58631i | −0.223998 | − | 0.129326i | 0.383802 | − | 0.923415i | \(-0.374615\pi\) |
−0.607800 | + | 0.794090i | \(0.707948\pi\) | |||||||
\(770\) | 0.0919857 | + | 11.3751i | 0.00331494 | + | 0.409931i | ||||
\(771\) | 4.03663 | − | 4.51521i | 0.145376 | − | 0.162611i | ||||
\(772\) | −12.2801 | − | 21.2698i | −0.441970 | − | 0.765515i | ||||
\(773\) | −2.14153 | −0.0770255 | −0.0385128 | − | 0.999258i | \(-0.512262\pi\) | ||||
−0.0385128 | + | 0.999258i | \(0.512262\pi\) | |||||||
\(774\) | −12.3969 | − | 16.8110i | −0.445598 | − | 0.604258i | ||||
\(775\) | − | 8.33903i | − | 0.299547i | ||||||
\(776\) | −2.75544 | − | 4.77256i | −0.0989144 | − | 0.171325i | ||||
\(777\) | −32.2212 | − | 28.3405i | −1.15593 | − | 1.01671i | ||||
\(778\) | 12.4109 | − | 21.4964i | 0.444954 | − | 0.770682i | ||||
\(779\) | 21.1164 | + | 12.1916i | 0.756573 | + | 0.436808i | ||||
\(780\) | 3.10098 | − | 14.8475i | 0.111033 | − | 0.531626i | ||||
\(781\) | 7.15953 | + | 12.4007i | 0.256188 | + | 0.443731i | ||||
\(782\) | 13.8025 | 0.493578 | ||||||||
\(783\) | −33.9413 | − | 3.20289i | −1.21296 | − | 0.114462i | ||||
\(784\) | 3.40150 | − | 6.11799i | 0.121482 | − | 0.218500i | ||||
\(785\) | −21.4635 | + | 12.3920i | −0.766066 | + | 0.442288i | ||||
\(786\) | −3.71521 | + | 17.7885i | −0.132517 | + | 0.634493i | ||||
\(787\) | 15.8961 | + | 9.17759i | 0.566633 | + | 0.327146i | 0.755804 | − | 0.654798i | \(-0.227247\pi\) |
−0.189170 | + | 0.981944i | \(0.560580\pi\) | |||||||
\(788\) | 10.8133 | + | 6.24305i | 0.385207 | + | 0.222400i | ||||
\(789\) | −15.8671 | + | 5.21778i | −0.564884 | + | 0.185758i | ||||
\(790\) | 4.70825 | − | 2.71831i | 0.167512 | − | 0.0967131i | ||||
\(791\) | 1.55534 | + | 2.64432i | 0.0553017 | + | 0.0940212i | ||||
\(792\) | 0.803848 | + | 7.15953i | 0.0285635 | + | 0.254403i | ||||
\(793\) | −55.4103 | −1.96768 | ||||||||
\(794\) | 1.51695 | + | 2.62744i | 0.0538346 | + | 0.0932442i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.155144 | − | 0.0895727i | −0.00549895 | − | 0.00317482i | ||||
\(797\) | 12.4226 | − | 21.5166i | 0.440031 | − | 0.762156i | −0.557660 | − | 0.830069i | \(-0.688301\pi\) |
0.997691 | + | 0.0679130i | \(0.0216340\pi\) | |||||||
\(798\) | −2.71704 | + | 13.5561i | −0.0961822 | + | 0.479880i | ||||
\(799\) | 9.41094 | + | 16.3002i | 0.332935 | + | 0.576660i | ||||
\(800\) | − | 1.79465i | − | 0.0634504i | ||||||
\(801\) | −10.3058 | − | 4.50118i | −0.364138 | − | 0.159041i | ||||
\(802\) | 13.0771 | 0.461768 | ||||||||
\(803\) | −14.8670 | − | 25.7504i | −0.524645 | − | 0.908712i | ||||
\(804\) | 0.308534 | + | 0.938241i | 0.0108811 | + | 0.0330892i | ||||
\(805\) | 17.8401 | − | 0.144265i | 0.628781 | − | 0.00508468i | ||||
\(806\) | 19.6831 | + | 11.3640i | 0.693307 | + | 0.400281i | ||||
\(807\) | −11.7175 | − | 2.44726i | −0.412475 | − | 0.0861475i | ||||
\(808\) | −0.216787 | + | 0.125162i | −0.00762654 | + | 0.00440319i | ||||
\(809\) | − | 37.7861i | − | 1.32849i | −0.747516 | − | 0.664244i | \(-0.768754\pi\) | ||
0.747516 | − | 0.664244i | \(-0.231246\pi\) | |||||||
\(810\) | −11.8203 | + | 10.9505i | −0.415325 | + | 0.384760i | ||||
\(811\) | 36.5165i | 1.28227i | 0.767429 | + | 0.641134i | \(0.221536\pi\) | ||||
−0.767429 | + | 0.641134i | \(0.778464\pi\) | |||||||
\(812\) | 8.55758 | − | 15.1029i | 0.300312 | − | 0.530008i | ||||
\(813\) | 7.30565 | − | 34.9795i | 0.256220 | − | 1.22679i | ||||
\(814\) | −11.2439 | + | 19.4750i | −0.394098 | + | 0.682598i | ||||
\(815\) | 3.88128 | − | 6.72257i | 0.135955 | − | 0.235481i | ||||
\(816\) | −1.98283 | − | 6.02973i | −0.0694131 | − | 0.211083i | ||||
\(817\) | −18.1918 | + | 10.5030i | −0.636449 | + | 0.367454i | ||||
\(818\) | 5.56709 | 0.194649 | ||||||||
\(819\) | 4.64361 | + | 38.5450i | 0.162261 | + | 1.34687i | ||||
\(820\) | −14.4694 | −0.505293 | ||||||||
\(821\) | −5.52142 | + | 3.18779i | −0.192699 | + | 0.111255i | −0.593245 | − | 0.805022i | \(-0.702154\pi\) |
0.400547 | + | 0.916276i | \(0.368820\pi\) | |||||||
\(822\) | −5.44941 | + | 6.09549i | −0.190070 | + | 0.212605i | ||||
\(823\) | −14.0293 | + | 24.2995i | −0.489032 | + | 0.847028i | −0.999920 | − | 0.0126187i | \(-0.995983\pi\) |
0.510888 | + | 0.859647i | \(0.329317\pi\) | |||||||
\(824\) | 0.0839657 | − | 0.145433i | 0.00292508 | − | 0.00506639i | ||||
\(825\) | −5.56516 | − | 4.97529i | −0.193754 | − | 0.173217i | ||||
\(826\) | −19.0298 | + | 33.5849i | −0.662132 | + | 1.16857i | ||||
\(827\) | − | 0.581579i | − | 0.0202235i | −0.999949 | − | 0.0101117i | \(-0.996781\pi\) | ||
0.999949 | − | 0.0101117i | \(-0.00321872\pi\) | |||||||
\(828\) | 11.2286 | − | 1.26071i | 0.390221 | − | 0.0438127i | ||||
\(829\) | 51.9246i | 1.80342i | 0.432346 | + | 0.901708i | \(0.357686\pi\) | ||||
−0.432346 | + | 0.901708i | \(0.642314\pi\) | |||||||
\(830\) | 21.7152 | − | 12.5373i | 0.753746 | − | 0.435175i | ||||
\(831\) | 8.39433 | + | 25.5269i | 0.291196 | + | 0.885518i | ||||
\(832\) | 4.23601 | + | 2.44566i | 0.146857 | + | 0.0847881i | ||||
\(833\) | 13.1839 | + | 22.0055i | 0.456796 | + | 0.762446i | ||||
\(834\) | −4.00766 | − | 0.837019i | −0.138774 | − | 0.0289836i | ||||
\(835\) | −11.1137 | − | 19.2495i | −0.384606 | − | 0.666156i | ||||
\(836\) | 7.24536 | 0.250586 | ||||||||
\(837\) | −10.0544 | − | 21.9514i | −0.347532 | − | 0.758752i | ||||
\(838\) | − | 16.3988i | − | 0.566486i | ||||||
\(839\) | −3.33038 | − | 5.76838i | −0.114977 | − | 0.199147i | 0.802793 | − | 0.596257i | \(-0.203346\pi\) |
−0.917771 | + | 0.397111i | \(0.870013\pi\) | |||||||
\(840\) | −2.62588 | − | 7.77285i | −0.0906015 | − | 0.268189i | ||||
\(841\) | 7.02357 | − | 12.1652i | 0.242192 | − | 0.419489i | ||||
\(842\) | −13.3869 | − | 7.72892i | −0.461342 | − | 0.266356i | ||||
\(843\) | 22.3732 | − | 7.35726i | 0.770574 | − | 0.253397i | ||||
\(844\) | −7.56103 | − | 13.0961i | −0.260261 | − | 0.450786i | ||||
\(845\) | −19.5597 | −0.672874 | ||||||||
\(846\) | 9.14481 | + | 12.4009i | 0.314405 | + | 0.426353i | ||||
\(847\) | 11.9334 | − | 7.01904i | 0.410038 | − | 0.241177i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −7.03459 | − | 6.28897i | −0.241427 | − | 0.215837i | ||||
\(850\) | 5.69566 | + | 3.28839i | 0.195360 | + | 0.112791i | ||||
\(851\) | 30.5435 | + | 17.6343i | 1.04702 | + | 0.604495i | ||||
\(852\) | −7.69921 | − | 6.88314i | −0.263771 | − | 0.235813i | ||||
\(853\) | −19.2287 | + | 11.1017i | −0.658378 | + | 0.380115i | −0.791659 | − | 0.610964i | \(-0.790782\pi\) |
0.133281 | + | 0.991078i | \(0.457449\pi\) | |||||||
\(854\) | −25.8343 | + | 15.1953i | −0.884033 | + | 0.519973i | ||||
\(855\) | 9.61746 | + | 13.0419i | 0.328910 | + | 0.446023i | ||||
\(856\) | 7.99080 | 0.273120 | ||||||||
\(857\) | −7.64830 | − | 13.2472i | −0.261261 | − | 0.452517i | 0.705316 | − | 0.708893i | \(-0.250805\pi\) |
−0.966577 | + | 0.256375i | \(0.917472\pi\) | |||||||
\(858\) | 19.3274 | − | 6.35568i | 0.659827 | − | 0.216979i | ||||
\(859\) | 3.68620 | + | 2.12823i | 0.125772 | + | 0.0726143i | 0.561566 | − | 0.827432i | \(-0.310199\pi\) |
−0.435794 | + | 0.900046i | \(0.643532\pi\) | |||||||
\(860\) | 6.23269 | − | 10.7953i | 0.212533 | − | 0.368118i | ||||
\(861\) | 35.0877 | − | 11.8536i | 1.19578 | − | 0.403969i | ||||
\(862\) | −12.5133 | − | 21.6737i | −0.426204 | − | 0.738208i | ||||
\(863\) | − | 23.6624i | − | 0.805476i | −0.915315 | − | 0.402738i | \(-0.868059\pi\) | ||
0.915315 | − | 0.402738i | \(-0.131941\pi\) | |||||||
\(864\) | −2.16382 | − | 4.72418i | −0.0736146 | − | 0.160720i | ||||
\(865\) | −31.1846 | −1.06031 | ||||||||
\(866\) | 1.12584 | + | 1.95001i | 0.0382576 | + | 0.0662641i | ||||
\(867\) | −6.05321 | − | 1.26424i | −0.205578 | − | 0.0429359i | ||||
\(868\) | 12.2934 | − | 0.0994112i | 0.417264 | − | 0.00337424i | ||||
\(869\) | 6.31546 | + | 3.64623i | 0.214237 | + | 0.123690i | ||||
\(870\) | −6.35568 | − | 19.3274i | −0.215478 | − | 0.655261i | ||||
\(871\) | 2.41551 | − | 1.39459i | 0.0818463 | − | 0.0472540i | ||||
\(872\) | 18.9533i | 0.641841i | ||||||||
\(873\) | 16.4294 | − | 1.84464i | 0.556051 | − | 0.0624315i | ||||
\(874\) | − | 11.3632i | − | 0.384367i | ||||||
\(875\) | 28.0023 | + | 15.8666i | 0.946649 | + | 0.536389i | ||||
\(876\) | 15.9877 | + | 14.2931i | 0.540173 | + | 0.482918i | ||||
\(877\) | 10.1962 | − | 17.6603i | 0.344300 | − | 0.596344i | −0.640927 | − | 0.767602i | \(-0.721450\pi\) |
0.985226 | + | 0.171258i | \(0.0547831\pi\) | |||||||
\(878\) | 9.37000 | − | 16.2293i | 0.316222 | − | 0.547713i | ||||
\(879\) | 28.2392 | − | 31.5872i | 0.952484 | − | 1.06541i | ||||
\(880\) | −3.72350 | + | 2.14977i | −0.125519 | + | 0.0724686i | ||||
\(881\) | 32.4586 | 1.09356 | 0.546780 | − | 0.837276i | \(-0.315853\pi\) | ||||
0.546780 | + | 0.837276i | \(0.315853\pi\) | |||||||
\(882\) | 12.7353 | + | 16.6977i | 0.428820 | + | 0.562239i | ||||
\(883\) | −24.8311 | −0.835632 | −0.417816 | − | 0.908532i | \(-0.637204\pi\) | ||||
−0.417816 | + | 0.908532i | \(0.637204\pi\) | |||||||
\(884\) | −15.5236 | + | 8.96254i | −0.522114 | + | 0.301443i | ||||
\(885\) | 14.1334 | + | 42.9791i | 0.475088 | + | 1.44473i | ||||
\(886\) | −0.602256 | + | 1.04314i | −0.0202332 | + | 0.0350449i | ||||
\(887\) | −4.86059 | + | 8.41879i | −0.163203 | + | 0.282675i | −0.936016 | − | 0.351959i | \(-0.885516\pi\) |
0.772813 | + | 0.634634i | \(0.218849\pi\) | |||||||
\(888\) | 3.31587 | − | 15.8764i | 0.111273 | − | 0.532778i | ||||
\(889\) | −3.22614 | − | 1.82799i | −0.108201 | − | 0.0613088i | ||||
\(890\) | − | 6.71136i | − | 0.224965i | ||||||
\(891\) | −20.6483 | − | 6.38687i | −0.691745 | − | 0.213968i | ||||
\(892\) | 8.39524i | 0.281093i | ||||||||
\(893\) | 13.4195 | − | 7.74775i | 0.449066 | − | 0.259269i | ||||
\(894\) | −29.4402 | − | 6.14872i | −0.984626 | − | 0.205644i | ||||
\(895\) | 20.3456 | + | 11.7465i | 0.680079 | + | 0.392644i | ||||
\(896\) | 2.64566 | − | 0.0213944i | 0.0883855 | − | 0.000714735i | ||||
\(897\) | −9.96789 | − | 30.3120i | −0.332818 | − | 1.01209i | ||||
\(898\) | 13.4011 | + | 23.2114i | 0.447200 | + | 0.774573i | ||||
\(899\) | 30.4865 | 1.01678 | ||||||||
\(900\) | 4.93388 | + | 2.15493i | 0.164463 | + | 0.0718309i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −9.70433 | − | 16.8084i | −0.323119 | − | 0.559658i | ||||
\(903\) | −6.27028 | + | 31.2842i | −0.208662 | + | 1.04107i | ||||
\(904\) | −0.579764 | + | 1.00418i | −0.0192827 | + | 0.0333985i | ||||
\(905\) | 20.7110 | + | 11.9575i | 0.688458 | + | 0.397481i | ||||
\(906\) | 14.5045 | + | 12.9671i | 0.481879 | + | 0.430803i | ||||
\(907\) | 8.04314 | + | 13.9311i | 0.267068 | + | 0.462575i | 0.968103 | − | 0.250551i | \(-0.0806118\pi\) |
−0.701035 | + | 0.713127i | \(0.747278\pi\) | |||||||
\(908\) | 2.42522 | 0.0804836 | ||||||||
\(909\) | −0.0837902 | − | 0.746284i | −0.00277915 | − | 0.0247527i | ||||
\(910\) | −19.9709 | + | 11.7465i | −0.662029 | + | 0.389394i | ||||
\(911\) | 27.0087 | − | 15.5935i | 0.894838 | − | 0.516635i | 0.0193161 | − | 0.999813i | \(-0.493851\pi\) |
0.875522 | + | 0.483179i | \(0.160518\pi\) | |||||||
\(912\) | −4.96410 | + | 1.63241i | −0.164378 | + | 0.0540545i | ||||
\(913\) | 29.1279 | + | 16.8170i | 0.963993 | + | 0.556562i | ||||
\(914\) | −11.9934 | − | 6.92442i | −0.396708 | − | 0.229039i | ||||
\(915\) | −7.18184 | + | 34.3868i | −0.237424 | + | 1.13679i | ||||
\(916\) | 1.74915 | − | 1.00987i | 0.0577936 | − | 0.0333672i | ||||
\(917\) | 23.9267 | − | 14.0733i | 0.790128 | − | 0.464740i | ||||
\(918\) | 18.9579 | + | 1.78897i | 0.625705 | + | 0.0590449i | ||||
\(919\) | 25.7664 | 0.849955 | 0.424977 | − | 0.905204i | \(-0.360282\pi\) | ||||
0.424977 | + | 0.905204i | \(0.360282\pi\) | |||||||
\(920\) | 3.37157 | + | 5.83973i | 0.111157 | + | 0.192530i | ||||
\(921\) | −11.0560 | + | 52.9363i | −0.364308 | + | 1.74431i | ||||
\(922\) | 4.16110 | + | 2.40241i | 0.137039 | + | 0.0791193i | ||||
\(923\) | −14.5824 | + | 25.2574i | −0.479984 | + | 0.831357i | ||||
\(924\) | 7.26822 | − | 8.26346i | 0.239107 | − | 0.271848i | ||||
\(925\) | 8.40258 | + | 14.5537i | 0.276275 | + | 0.478522i | ||||
\(926\) | − | 21.0388i | − | 0.691377i | ||||||
\(927\) | 0.299004 | + | 0.405469i | 0.00982060 | + | 0.0133173i | ||||
\(928\) | 6.56103 | 0.215376 | ||||||||
\(929\) | −27.3744 | − | 47.4138i | −0.898124 | − | 1.55560i | −0.829891 | − | 0.557926i | \(-0.811597\pi\) |
−0.0682329 | − | 0.997669i | \(-0.521736\pi\) | |||||||
\(930\) | 9.60351 | − | 10.7421i | 0.314911 | − | 0.352247i | ||||
\(931\) | 18.1165 | − | 10.8539i | 0.593744 | − | 0.355723i | ||||
\(932\) | −11.0236 | − | 6.36446i | −0.361089 | − | 0.208475i | ||||
\(933\) | −12.5945 | + | 14.0877i | −0.412326 | + | 0.461212i | ||||
\(934\) | 5.04288 | − | 2.91151i | 0.165008 | − | 0.0952675i | ||||
\(935\) | − | 15.7563i | − | 0.515288i | ||||||
\(936\) | −11.8101 | + | 8.70908i | −0.386024 | + | 0.284665i | ||||
\(937\) | − | 58.2065i | − | 1.90152i | −0.309924 | − | 0.950761i | \(-0.600304\pi\) | ||
0.309924 | − | 0.950761i | \(-0.399696\pi\) | |||||||
\(938\) | 0.743755 | − | 1.31262i | 0.0242844 | − | 0.0428586i | ||||
\(939\) | 5.63384 | − | 1.85265i | 0.183853 | − | 0.0604588i | ||||
\(940\) | −4.59766 | + | 7.96337i | −0.149959 | + | 0.259737i | ||||
\(941\) | 16.6658 | − | 28.8660i | 0.543289 | − | 0.941005i | −0.455423 | − | 0.890275i | \(-0.650512\pi\) |
0.998712 | − | 0.0507297i | \(-0.0161547\pi\) | |||||||
\(942\) | 23.4705 | + | 4.90192i | 0.764709 | + | 0.159713i | ||||
\(943\) | −26.3613 | + | 15.2197i | −0.858443 | + | 0.495622i | ||||
\(944\) | −14.5900 | −0.474864 | ||||||||
\(945\) | 24.5223 | + | 2.11414i | 0.797710 | + | 0.0687730i | ||||
\(946\) | 16.7206 | 0.543632 | ||||||||
\(947\) | −6.59497 | + | 3.80761i | −0.214308 | + | 0.123731i | −0.603312 | − | 0.797505i | \(-0.706153\pi\) |
0.389004 | + | 0.921236i | \(0.372819\pi\) | |||||||
\(948\) | −5.14850 | − | 1.07529i | −0.167215 | − | 0.0349238i | ||||
\(949\) | 30.2808 | − | 52.4478i | 0.982955 | − | 1.70253i | ||||
\(950\) | 2.70724 | − | 4.68907i | 0.0878344 | − | 0.152134i | ||||
\(951\) | 31.3396 | − | 10.3058i | 1.01626 | − | 0.334188i | ||||
\(952\) | −4.77984 | + | 8.43573i | −0.154915 | + | 0.273404i | ||||
\(953\) | − | 55.7861i | − | 1.80709i | −0.428495 | − | 0.903544i | \(-0.640956\pi\) | ||
0.428495 | − | 0.903544i | \(-0.359044\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 16.5667i | − | 0.536085i | ||||||
\(956\) | 15.1117 | − | 8.72474i | 0.488747 | − | 0.282178i | ||||
\(957\) | 18.1891 | − | 20.3456i | 0.587970 | − | 0.657680i | ||||
\(958\) | 23.3447 | + | 13.4781i | 0.754232 | + | 0.435456i | ||||
\(959\) | 12.4890 | − | 0.100993i | 0.403291 | − | 0.00326125i | ||||
\(960\) | 2.06678 | − | 2.31181i | 0.0667050 | − | 0.0746135i | ||||
\(961\) | −4.70451 | − | 8.14845i | −0.151758 | − | 0.262853i | ||||
\(962\) | −45.8026 | −1.47673 | ||||||||
\(963\) | −9.59497 | + | 21.9684i | −0.309194 | + | 0.707923i | ||||
\(964\) | − | 11.4332i | − | 0.368238i | ||||||
\(965\) | 21.9857 | + | 38.0803i | 0.707744 | + | 1.22585i | ||||
\(966\) | −12.9599 | − | 11.3991i | −0.416979 | − | 0.366759i | ||||
\(967\) | −13.3369 | + | 23.1003i | −0.428887 | + | 0.742855i | −0.996775 | − | 0.0802517i | \(-0.974428\pi\) |
0.567887 | + | 0.823106i | \(0.307761\pi\) | |||||||
\(968\) | 4.53172 | + | 2.61639i | 0.145655 | + | 0.0840939i | ||||
\(969\) | 3.91512 | − | 18.7456i | 0.125772 | − | 0.602197i | ||||
\(970\) | 4.93320 | + | 8.54455i | 0.158395 | + | 0.274349i | ||||
\(971\) | −8.59942 | −0.275968 | −0.137984 | − | 0.990434i | \(-0.544062\pi\) | ||||
−0.137984 | + | 0.990434i | \(0.544062\pi\) | |||||||
\(972\) | 15.5860 | − | 0.276237i | 0.499921 | − | 0.00886031i | ||||
\(973\) | 3.17064 | + | 5.39057i | 0.101646 | + | 0.172814i | ||||
\(974\) | −11.8011 | + | 6.81338i | −0.378132 | + | 0.218315i | ||||
\(975\) | 3.10842 | − | 14.8832i | 0.0995492 | − | 0.476643i | ||||
\(976\) | −9.81058 | − | 5.66414i | −0.314029 | − | 0.181305i | ||||
\(977\) | −12.7973 | − | 7.38854i | −0.409423 | − | 0.236380i | 0.281119 | − | 0.959673i | \(-0.409295\pi\) |
−0.690542 | + | 0.723293i | \(0.742628\pi\) | |||||||
\(978\) | −7.13396 | + | 2.34595i | −0.228119 | + | 0.0750152i | ||||
\(979\) | 7.79627 | − | 4.50118i | 0.249170 | − | 0.143858i | ||||
\(980\) | −6.08988 | + | 10.9533i | −0.194534 | + | 0.349891i | ||||
\(981\) | −52.1068 | − | 22.7583i | −1.66364 | − | 0.726615i | ||||
\(982\) | −38.9630 | −1.24336 | ||||||||
\(983\) | 10.2568 | + | 17.7652i | 0.327140 | + | 0.566623i | 0.981943 | − | 0.189176i | \(-0.0605818\pi\) |
−0.654803 | + | 0.755800i | \(0.727248\pi\) | |||||||
\(984\) | 10.4358 | + | 9.32971i | 0.332682 | + | 0.297420i | ||||
\(985\) | −19.3596 | − | 11.1772i | −0.616847 | − | 0.356137i | ||||
\(986\) | −12.0220 | + | 20.8227i | −0.382858 | + | 0.663130i | ||||
\(987\) | 4.62539 | − | 23.0773i | 0.147228 | − | 0.734560i | ||||
\(988\) | 7.37859 | + | 12.7801i | 0.234744 | + | 0.406589i | ||||
\(989\) | − | 26.2236i | − | 0.833861i | ||||||
\(990\) | −1.43917 | − | 12.8181i | −0.0457398 | − | 0.407385i | ||||
\(991\) | −9.29294 | −0.295200 | −0.147600 | − | 0.989047i | \(-0.547155\pi\) | ||||
−0.147600 | + | 0.989047i | \(0.547155\pi\) | |||||||
\(992\) | 2.32330 | + | 4.02408i | 0.0737650 | + | 0.127765i | ||||
\(993\) | −0.0396334 | − | 0.120524i | −0.00125773 | − | 0.00382471i | ||||
\(994\) | 0.127565 | + | 15.7749i | 0.00404610 | + | 0.500349i | ||||
\(995\) | 0.277763 | + | 0.160366i | 0.00880567 | + | 0.00508396i | ||||
\(996\) | −23.7457 | − | 4.95940i | −0.752411 | − | 0.157145i | ||||
\(997\) | −0.0172917 | + | 0.00998339i | −0.000547635 | + | 0.000316177i | −0.500274 | − | 0.865867i | \(-0.666767\pi\) |
0.499726 | + | 0.866183i | \(0.333434\pi\) | |||||||
\(998\) | 26.0097i | 0.823322i | ||||||||
\(999\) | 39.6662 | + | 28.1797i | 1.25498 | + | 0.891566i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))