Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(268,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.268");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.k (of order \(4\), 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: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 26 x^{18} + 279 x^{16} + 1604 x^{14} + 5353 x^{12} + 10466 x^{10} + 11441 x^{8} + 6176 x^{6} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 577.10 | ||
Root | \(-2.25081i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.577 |
Dual form | 845.2.k.d.268.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.25081 | 1.59156 | 0.795780 | − | 0.605585i | \(-0.207061\pi\) | ||||
0.795780 | + | 0.605585i | \(0.207061\pi\) | |||||||
\(3\) | 1.40490 | − | 1.40490i | 0.811119 | − | 0.811119i | −0.173683 | − | 0.984802i | \(-0.555567\pi\) |
0.984802 | + | 0.173683i | \(0.0555668\pi\) | |||||||
\(4\) | 3.06613 | 1.53307 | ||||||||
\(5\) | 2.22228 | + | 0.247944i | 0.993833 | + | 0.110884i | ||||
\(6\) | 3.16216 | − | 3.16216i | 1.29094 | − | 1.29094i | ||||
\(7\) | 1.27718i | 0.482730i | 0.970434 | + | 0.241365i | \(0.0775951\pi\) | ||||
−0.970434 | + | 0.241365i | \(0.922405\pi\) | |||||||
\(8\) | 2.39966 | 0.848406 | ||||||||
\(9\) | − | 0.947480i | − | 0.315827i | ||||||
\(10\) | 5.00192 | + | 0.558075i | 1.58175 | + | 0.176479i | ||||
\(11\) | −3.86239 | − | 3.86239i | −1.16455 | − | 1.16455i | −0.983467 | − | 0.181088i | \(-0.942038\pi\) |
−0.181088 | − | 0.983467i | \(-0.557962\pi\) | |||||||
\(12\) | 4.30760 | − | 4.30760i | 1.24350 | − | 1.24350i | ||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 2.87469i | 0.768294i | ||||||||
\(15\) | 3.47041 | − | 2.77374i | 0.896057 | − | 0.716177i | ||||
\(16\) | −0.731101 | −0.182775 | ||||||||
\(17\) | −2.27799 | + | 2.27799i | −0.552494 | + | 0.552494i | −0.927160 | − | 0.374666i | \(-0.877757\pi\) |
0.374666 | + | 0.927160i | \(0.377757\pi\) | |||||||
\(18\) | − | 2.13259i | − | 0.502657i | ||||||
\(19\) | −0.861676 | − | 0.861676i | −0.197682 | − | 0.197682i | 0.601324 | − | 0.799006i | \(-0.294640\pi\) |
−0.799006 | + | 0.601324i | \(0.794640\pi\) | |||||||
\(20\) | 6.81380 | + | 0.760230i | 1.52361 | + | 0.169993i | ||||
\(21\) | 1.79431 | + | 1.79431i | 0.391551 | + | 0.391551i | ||||
\(22\) | −8.69350 | − | 8.69350i | −1.85346 | − | 1.85346i | ||||
\(23\) | −0.117133 | − | 0.117133i | −0.0244239 | − | 0.0244239i | 0.694789 | − | 0.719213i | \(-0.255498\pi\) |
−0.719213 | + | 0.694789i | \(0.755498\pi\) | |||||||
\(24\) | 3.37127 | − | 3.37127i | 0.688158 | − | 0.688158i | ||||
\(25\) | 4.87705 | + | 1.10200i | 0.975409 | + | 0.220401i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.88358 | + | 2.88358i | 0.554946 | + | 0.554946i | ||||
\(28\) | 3.91601i | 0.740057i | ||||||||
\(29\) | 9.71181i | 1.80344i | 0.432322 | + | 0.901719i | \(0.357694\pi\) | ||||
−0.432322 | + | 0.901719i | \(0.642306\pi\) | |||||||
\(30\) | 7.81123 | − | 6.24315i | 1.42613 | − | 1.13984i | ||||
\(31\) | −0.233305 | + | 0.233305i | −0.0419027 | + | 0.0419027i | −0.727748 | − | 0.685845i | \(-0.759433\pi\) |
0.685845 | + | 0.727748i | \(0.259433\pi\) | |||||||
\(32\) | −6.44488 | −1.13930 | ||||||||
\(33\) | −10.8525 | −1.88918 | ||||||||
\(34\) | −5.12732 | + | 5.12732i | −0.879328 | + | 0.879328i | ||||
\(35\) | −0.316670 | + | 2.83826i | −0.0535271 | + | 0.479753i | ||||
\(36\) | − | 2.90510i | − | 0.484183i | ||||||
\(37\) | − | 1.32163i | − | 0.217275i | −0.994081 | − | 0.108638i | \(-0.965351\pi\) | ||
0.994081 | − | 0.108638i | \(-0.0346488\pi\) | |||||||
\(38\) | −1.93947 | − | 1.93947i | −0.314623 | − | 0.314623i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 5.33270 | + | 0.594981i | 0.843175 | + | 0.0940747i | ||||
\(41\) | −0.354016 | + | 0.354016i | −0.0552880 | + | 0.0552880i | −0.734210 | − | 0.678922i | \(-0.762447\pi\) |
0.678922 | + | 0.734210i | \(0.262447\pi\) | |||||||
\(42\) | 4.03865 | + | 4.03865i | 0.623178 | + | 0.623178i | ||||
\(43\) | −4.71126 | − | 4.71126i | −0.718460 | − | 0.718460i | 0.249830 | − | 0.968290i | \(-0.419625\pi\) |
−0.968290 | + | 0.249830i | \(0.919625\pi\) | |||||||
\(44\) | −11.8426 | − | 11.8426i | −1.78534 | − | 1.78534i | ||||
\(45\) | 0.234922 | − | 2.10556i | 0.0350201 | − | 0.313879i | ||||
\(46\) | −0.263643 | − | 0.263643i | −0.0388721 | − | 0.0388721i | ||||
\(47\) | − | 3.20027i | − | 0.466808i | −0.972380 | − | 0.233404i | \(-0.925014\pi\) | ||
0.972380 | − | 0.233404i | \(-0.0749864\pi\) | |||||||
\(48\) | −1.02712 | + | 1.02712i | −0.148252 | + | 0.148252i | ||||
\(49\) | 5.36880 | 0.766972 | ||||||||
\(50\) | 10.9773 | + | 2.48039i | 1.55242 | + | 0.350781i | ||||
\(51\) | 6.40069i | 0.896276i | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.49845 | − | 4.49845i | 0.617909 | − | 0.617909i | −0.327086 | − | 0.944995i | \(-0.606067\pi\) |
0.944995 | + | 0.327086i | \(0.106067\pi\) | |||||||
\(54\) | 6.49039 | + | 6.49039i | 0.883230 | + | 0.883230i | ||||
\(55\) | −7.62565 | − | 9.54097i | −1.02824 | − | 1.28650i | ||||
\(56\) | 3.06480i | 0.409551i | ||||||||
\(57\) | −2.42113 | −0.320687 | ||||||||
\(58\) | 21.8594i | 2.87028i | ||||||||
\(59\) | −0.00162606 | + | 0.00162606i | −0.000211694 | + | 0.000211694i | −0.707213 | − | 0.707001i | \(-0.750048\pi\) |
0.707001 | + | 0.707213i | \(0.250048\pi\) | |||||||
\(60\) | 10.6407 | − | 8.50465i | 1.37371 | − | 1.09795i | ||||
\(61\) | 1.39199 | 0.178226 | 0.0891128 | − | 0.996022i | \(-0.471597\pi\) | ||||
0.0891128 | + | 0.996022i | \(0.471597\pi\) | |||||||
\(62\) | −0.525123 | + | 0.525123i | −0.0666907 | + | 0.0666907i | ||||
\(63\) | 1.21011 | 0.152459 | ||||||||
\(64\) | −13.0440 | −1.63050 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −24.4270 | −3.00675 | ||||||||
\(67\) | −6.07436 | −0.742101 | −0.371050 | − | 0.928613i | \(-0.621002\pi\) | ||||
−0.371050 | + | 0.928613i | \(0.621002\pi\) | |||||||
\(68\) | −6.98462 | + | 6.98462i | −0.847009 | + | 0.847009i | ||||
\(69\) | −0.329120 | −0.0396213 | ||||||||
\(70\) | −0.712764 | + | 6.38837i | −0.0851916 | + | 0.763557i | ||||
\(71\) | 8.59633 | − | 8.59633i | 1.02020 | − | 1.02020i | 0.0204050 | − | 0.999792i | \(-0.493504\pi\) |
0.999792 | − | 0.0204050i | \(-0.00649556\pi\) | |||||||
\(72\) | − | 2.27363i | − | 0.267949i | ||||||
\(73\) | −7.34614 | −0.859801 | −0.429901 | − | 0.902876i | \(-0.641451\pi\) | ||||
−0.429901 | + | 0.902876i | \(0.641451\pi\) | |||||||
\(74\) | − | 2.97474i | − | 0.345806i | ||||||
\(75\) | 8.39996 | − | 5.30355i | 0.969944 | − | 0.612402i | ||||
\(76\) | −2.64201 | − | 2.64201i | −0.303060 | − | 0.303060i | ||||
\(77\) | 4.93298 | − | 4.93298i | 0.562166 | − | 0.562166i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 11.1774i | − | 1.25756i | −0.777584 | − | 0.628779i | \(-0.783555\pi\) | ||
0.777584 | − | 0.628779i | \(-0.216445\pi\) | |||||||
\(80\) | −1.62471 | − | 0.181272i | −0.181648 | − | 0.0202669i | ||||
\(81\) | 10.9447 | 1.21608 | ||||||||
\(82\) | −0.796822 | + | 0.796822i | −0.0879943 | + | 0.0879943i | ||||
\(83\) | 2.65539i | 0.291467i | 0.989324 | + | 0.145733i | \(0.0465542\pi\) | ||||
−0.989324 | + | 0.145733i | \(0.953446\pi\) | |||||||
\(84\) | 5.50160 | + | 5.50160i | 0.600274 | + | 0.600274i | ||||
\(85\) | −5.62715 | + | 4.49752i | −0.610350 | + | 0.487824i | ||||
\(86\) | −10.6041 | − | 10.6041i | −1.14347 | − | 1.14347i | ||||
\(87\) | 13.6441 | + | 13.6441i | 1.46280 | + | 1.46280i | ||||
\(88\) | −9.26841 | − | 9.26841i | −0.988016 | − | 0.988016i | ||||
\(89\) | −5.09904 | + | 5.09904i | −0.540497 | + | 0.540497i | −0.923675 | − | 0.383178i | \(-0.874830\pi\) |
0.383178 | + | 0.923675i | \(0.374830\pi\) | |||||||
\(90\) | 0.528764 | − | 4.73922i | 0.0557367 | − | 0.499558i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −0.359145 | − | 0.359145i | −0.0374434 | − | 0.0374434i | ||||
\(93\) | 0.655538i | 0.0679762i | ||||||||
\(94\) | − | 7.20320i | − | 0.742953i | ||||||
\(95\) | −1.70124 | − | 2.12853i | −0.174543 | − | 0.218383i | ||||
\(96\) | −9.05440 | + | 9.05440i | −0.924111 | + | 0.924111i | ||||
\(97\) | −4.18070 | −0.424486 | −0.212243 | − | 0.977217i | \(-0.568077\pi\) | ||||
−0.212243 | + | 0.977217i | \(0.568077\pi\) | |||||||
\(98\) | 12.0841 | 1.22068 | ||||||||
\(99\) | −3.65954 | + | 3.65954i | −0.367797 | + | 0.367797i | ||||
\(100\) | 14.9537 | + | 3.37888i | 1.49537 | + | 0.337888i | ||||
\(101\) | 8.62930i | 0.858647i | 0.903151 | + | 0.429323i | \(0.141248\pi\) | ||||
−0.903151 | + | 0.429323i | \(0.858752\pi\) | |||||||
\(102\) | 14.4067i | 1.42648i | ||||||||
\(103\) | −1.07603 | − | 1.07603i | −0.106025 | − | 0.106025i | 0.652104 | − | 0.758129i | \(-0.273886\pi\) |
−0.758129 | + | 0.652104i | \(0.773886\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 3.54258 | + | 4.43236i | 0.345720 | + | 0.432554i | ||||
\(106\) | 10.1251 | − | 10.1251i | 0.983440 | − | 0.983440i | ||||
\(107\) | 10.2713 | + | 10.2713i | 0.992966 | + | 0.992966i | 0.999975 | − | 0.00700981i | \(-0.00223131\pi\) |
−0.00700981 | + | 0.999975i | \(0.502231\pi\) | |||||||
\(108\) | 8.84144 | + | 8.84144i | 0.850768 | + | 0.850768i | ||||
\(109\) | −4.72405 | − | 4.72405i | −0.452481 | − | 0.452481i | 0.443696 | − | 0.896177i | \(-0.353667\pi\) |
−0.896177 | + | 0.443696i | \(0.853667\pi\) | |||||||
\(110\) | −17.1639 | − | 21.4749i | −1.63651 | − | 2.04755i | ||||
\(111\) | −1.85676 | − | 1.85676i | −0.176236 | − | 0.176236i | ||||
\(112\) | − | 0.933751i | − | 0.0882311i | ||||||
\(113\) | 8.05734 | − | 8.05734i | 0.757971 | − | 0.757971i | −0.217982 | − | 0.975953i | \(-0.569947\pi\) |
0.975953 | + | 0.217982i | \(0.0699474\pi\) | |||||||
\(114\) | −5.44951 | −0.510393 | ||||||||
\(115\) | −0.231259 | − | 0.289344i | −0.0215651 | − | 0.0269815i | ||||
\(116\) | 29.7777i | 2.76479i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.00365994 | + | 0.00365994i | −0.000336925 | + | 0.000336925i | ||||
\(119\) | −2.90941 | − | 2.90941i | −0.266705 | − | 0.266705i | ||||
\(120\) | 8.32780 | − | 6.65602i | 0.760220 | − | 0.607609i | ||||
\(121\) | 18.8361i | 1.71238i | ||||||||
\(122\) | 3.13309 | 0.283657 | ||||||||
\(123\) | 0.994714i | 0.0896903i | ||||||||
\(124\) | −0.715342 | + | 0.715342i | −0.0642396 | + | 0.0642396i | ||||
\(125\) | 10.5649 | + | 3.65819i | 0.944956 | + | 0.327199i | ||||
\(126\) | 2.72372 | 0.242648 | ||||||||
\(127\) | −0.370894 | + | 0.370894i | −0.0329115 | + | 0.0329115i | −0.723371 | − | 0.690460i | \(-0.757408\pi\) |
0.690460 | + | 0.723371i | \(0.257408\pi\) | |||||||
\(128\) | −16.4697 | −1.45573 | ||||||||
\(129\) | −13.2377 | −1.16551 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.09883 | 0.445486 | 0.222743 | − | 0.974877i | \(-0.428499\pi\) | ||||
0.222743 | + | 0.974877i | \(0.428499\pi\) | |||||||
\(132\) | −33.2753 | −2.89624 | ||||||||
\(133\) | 1.10052 | − | 1.10052i | 0.0954271 | − | 0.0954271i | ||||
\(134\) | −13.6722 | −1.18110 | ||||||||
\(135\) | 5.69316 | + | 7.12309i | 0.489989 | + | 0.613058i | ||||
\(136\) | −5.46639 | + | 5.46639i | −0.468739 | + | 0.468739i | ||||
\(137\) | − | 3.80346i | − | 0.324952i | −0.986713 | − | 0.162476i | \(-0.948052\pi\) | ||
0.986713 | − | 0.162476i | \(-0.0519480\pi\) | |||||||
\(138\) | −0.740785 | −0.0630598 | ||||||||
\(139\) | 1.47821i | 0.125380i | 0.998033 | + | 0.0626902i | \(0.0199680\pi\) | ||||
−0.998033 | + | 0.0626902i | \(0.980032\pi\) | |||||||
\(140\) | −0.970953 | + | 8.70248i | −0.0820605 | + | 0.735493i | ||||
\(141\) | −4.49606 | − | 4.49606i | −0.378637 | − | 0.378637i | ||||
\(142\) | 19.3487 | − | 19.3487i | 1.62371 | − | 1.62371i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0.692704i | 0.0577253i | ||||||||
\(145\) | −2.40799 | + | 21.5824i | −0.199973 | + | 1.79232i | ||||
\(146\) | −16.5347 | −1.36843 | ||||||||
\(147\) | 7.54262 | − | 7.54262i | 0.622105 | − | 0.622105i | ||||
\(148\) | − | 4.05230i | − | 0.333097i | ||||||
\(149\) | −12.1736 | − | 12.1736i | −0.997302 | − | 0.997302i | 0.00269418 | − | 0.999996i | \(-0.499142\pi\) |
−0.999996 | + | 0.00269418i | \(0.999142\pi\) | |||||||
\(150\) | 18.9067 | − | 11.9373i | 1.54372 | − | 0.974675i | ||||
\(151\) | 10.0539 | + | 10.0539i | 0.818178 | + | 0.818178i | 0.985844 | − | 0.167666i | \(-0.0536230\pi\) |
−0.167666 | + | 0.985844i | \(0.553623\pi\) | |||||||
\(152\) | −2.06773 | − | 2.06773i | −0.167715 | − | 0.167715i | ||||
\(153\) | 2.15835 | + | 2.15835i | 0.174492 | + | 0.174492i | ||||
\(154\) | 11.1032 | − | 11.1032i | 0.894721 | − | 0.894721i | ||||
\(155\) | −0.576314 | + | 0.460621i | −0.0462907 | + | 0.0369980i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.07230 | + | 3.07230i | 0.245196 | + | 0.245196i | 0.818996 | − | 0.573799i | \(-0.194531\pi\) |
−0.573799 | + | 0.818996i | \(0.694531\pi\) | |||||||
\(158\) | − | 25.1582i | − | 2.00148i | ||||||
\(159\) | − | 12.6397i | − | 1.00240i | ||||||
\(160\) | −14.3223 | − | 1.59797i | −1.13228 | − | 0.126331i | ||||
\(161\) | 0.149600 | − | 0.149600i | 0.0117902 | − | 0.0117902i | ||||
\(162\) | 24.6345 | 1.93547 | ||||||||
\(163\) | −9.20501 | −0.720992 | −0.360496 | − | 0.932761i | \(-0.617393\pi\) | ||||
−0.360496 | + | 0.932761i | \(0.617393\pi\) | |||||||
\(164\) | −1.08546 | + | 1.08546i | −0.0847602 | + | 0.0847602i | ||||
\(165\) | −24.1174 | − | 2.69082i | −1.87753 | − | 0.209480i | ||||
\(166\) | 5.97677i | 0.463887i | ||||||||
\(167\) | 12.6387i | 0.978014i | 0.872280 | + | 0.489007i | \(0.162641\pi\) | ||||
−0.872280 | + | 0.489007i | \(0.837359\pi\) | |||||||
\(168\) | 4.30574 | + | 4.30574i | 0.332195 | + | 0.332195i | ||||
\(169\) | 0 | 0 | ||||||||
\(170\) | −12.6656 | + | 10.1230i | −0.971409 | + | 0.776402i | ||||
\(171\) | −0.816421 | + | 0.816421i | −0.0624333 | + | 0.0624333i | ||||
\(172\) | −14.4453 | − | 14.4453i | −1.10145 | − | 1.10145i | ||||
\(173\) | −9.69831 | − | 9.69831i | −0.737349 | − | 0.737349i | 0.234716 | − | 0.972064i | \(-0.424584\pi\) |
−0.972064 | + | 0.234716i | \(0.924584\pi\) | |||||||
\(174\) | 30.7103 | + | 30.7103i | 2.32814 | + | 2.32814i | ||||
\(175\) | −1.40746 | + | 6.22889i | −0.106394 | + | 0.470860i | ||||
\(176\) | 2.82380 | + | 2.82380i | 0.212852 | + | 0.212852i | ||||
\(177\) | 0.00456889i | 0.000343419i | ||||||||
\(178\) | −11.4770 | + | 11.4770i | −0.860234 | + | 0.860234i | ||||
\(179\) | −12.6425 | −0.944946 | −0.472473 | − | 0.881345i | \(-0.656639\pi\) | ||||
−0.472473 | + | 0.881345i | \(0.656639\pi\) | |||||||
\(180\) | 0.720302 | − | 6.45594i | 0.0536882 | − | 0.481197i | ||||
\(181\) | 8.16619i | 0.606988i | 0.952833 | + | 0.303494i | \(0.0981533\pi\) | ||||
−0.952833 | + | 0.303494i | \(0.901847\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.95560 | − | 1.95560i | 0.144562 | − | 0.144562i | ||||
\(184\) | −0.281079 | − | 0.281079i | −0.0207214 | − | 0.0207214i | ||||
\(185\) | 0.327691 | − | 2.93704i | 0.0240923 | − | 0.215935i | ||||
\(186\) | 1.47549i | 0.108188i | ||||||||
\(187\) | 17.5970 | 1.28682 | ||||||||
\(188\) | − | 9.81246i | − | 0.715647i | ||||||
\(189\) | −3.68287 | + | 3.68287i | −0.267889 | + | 0.267889i | ||||
\(190\) | −3.82916 | − | 4.79091i | −0.277796 | − | 0.347569i | ||||
\(191\) | −14.7538 | −1.06755 | −0.533775 | − | 0.845626i | \(-0.679227\pi\) | ||||
−0.533775 | + | 0.845626i | \(0.679227\pi\) | |||||||
\(192\) | −18.3255 | + | 18.3255i | −1.32253 | + | 1.32253i | ||||
\(193\) | 15.0969 | 1.08670 | 0.543349 | − | 0.839507i | \(-0.317156\pi\) | ||||
0.543349 | + | 0.839507i | \(0.317156\pi\) | |||||||
\(194\) | −9.40995 | −0.675595 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 16.4614 | 1.17582 | ||||||||
\(197\) | 15.3715 | 1.09518 | 0.547588 | − | 0.836748i | \(-0.315546\pi\) | ||||
0.547588 | + | 0.836748i | \(0.315546\pi\) | |||||||
\(198\) | −8.23691 | + | 8.23691i | −0.585372 | + | 0.585372i | ||||
\(199\) | 11.4562 | 0.812109 | 0.406054 | − | 0.913849i | \(-0.366904\pi\) | ||||
0.406054 | + | 0.913849i | \(0.366904\pi\) | |||||||
\(200\) | 11.7032 | + | 2.64443i | 0.827544 | + | 0.186989i | ||||
\(201\) | −8.53385 | + | 8.53385i | −0.601932 | + | 0.601932i | ||||
\(202\) | 19.4229i | 1.36659i | ||||||||
\(203\) | −12.4038 | −0.870574 | ||||||||
\(204\) | 19.6254i | 1.37405i | ||||||||
\(205\) | −0.874499 | + | 0.698946i | −0.0610777 | + | 0.0488165i | ||||
\(206\) | −2.42194 | − | 2.42194i | −0.168745 | − | 0.168745i | ||||
\(207\) | −0.110981 | + | 0.110981i | −0.00771372 | + | 0.00771372i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 6.65626i | 0.460423i | ||||||||
\(210\) | 7.97366 | + | 9.97638i | 0.550234 | + | 0.688435i | ||||
\(211\) | 3.18391 | 0.219189 | 0.109595 | − | 0.993976i | \(-0.465045\pi\) | ||||
0.109595 | + | 0.993976i | \(0.465045\pi\) | |||||||
\(212\) | 13.7928 | − | 13.7928i | 0.947295 | − | 0.947295i | ||||
\(213\) | − | 24.1539i | − | 1.65500i | ||||||
\(214\) | 23.1187 | + | 23.1187i | 1.58037 | + | 1.58037i | ||||
\(215\) | −9.30159 | − | 11.6379i | −0.634363 | − | 0.793695i | ||||
\(216\) | 6.91961 | + | 6.91961i | 0.470820 | + | 0.470820i | ||||
\(217\) | −0.297973 | − | 0.297973i | −0.0202277 | − | 0.0202277i | ||||
\(218\) | −10.6329 | − | 10.6329i | −0.720152 | − | 0.720152i | ||||
\(219\) | −10.3206 | + | 10.3206i | −0.697401 | + | 0.697401i | ||||
\(220\) | −23.3813 | − | 29.2539i | −1.57636 | − | 1.97230i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −4.17921 | − | 4.17921i | −0.280490 | − | 0.280490i | ||||
\(223\) | − | 11.8775i | − | 0.795375i | −0.917521 | − | 0.397688i | \(-0.869813\pi\) | ||
0.917521 | − | 0.397688i | \(-0.130187\pi\) | |||||||
\(224\) | − | 8.23130i | − | 0.549977i | ||||||
\(225\) | 1.04413 | − | 4.62090i | 0.0696084 | − | 0.308060i | ||||
\(226\) | 18.1355 | − | 18.1355i | 1.20636 | − | 1.20636i | ||||
\(227\) | 27.6666 | 1.83630 | 0.918149 | − | 0.396236i | \(-0.129684\pi\) | ||||
0.918149 | + | 0.396236i | \(0.129684\pi\) | |||||||
\(228\) | −7.42352 | −0.491634 | ||||||||
\(229\) | 12.9000 | − | 12.9000i | 0.852455 | − | 0.852455i | −0.137980 | − | 0.990435i | \(-0.544061\pi\) |
0.990435 | + | 0.137980i | \(0.0440610\pi\) | |||||||
\(230\) | −0.520520 | − | 0.651258i | −0.0343221 | − | 0.0429427i | ||||
\(231\) | − | 13.8607i | − | 0.911966i | ||||||
\(232\) | 23.3050i | 1.53005i | ||||||||
\(233\) | 16.3545 | + | 16.3545i | 1.07142 | + | 1.07142i | 0.997246 | + | 0.0741712i | \(0.0236311\pi\) |
0.0741712 | + | 0.997246i | \(0.476369\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.793489 | − | 7.11190i | 0.0517615 | − | 0.463929i | ||||
\(236\) | −0.00498570 | + | 0.00498570i | −0.000324541 | + | 0.000324541i | ||||
\(237\) | −15.7031 | − | 15.7031i | −1.02003 | − | 1.02003i | ||||
\(238\) | −6.54853 | − | 6.54853i | −0.424478 | − | 0.424478i | ||||
\(239\) | −2.61794 | − | 2.61794i | −0.169341 | − | 0.169341i | 0.617349 | − | 0.786690i | \(-0.288207\pi\) |
−0.786690 | + | 0.617349i | \(0.788207\pi\) | |||||||
\(240\) | −2.53722 | + | 2.02788i | −0.163777 | + | 0.130899i | ||||
\(241\) | −14.7152 | − | 14.7152i | −0.947888 | − | 0.947888i | 0.0508198 | − | 0.998708i | \(-0.483817\pi\) |
−0.998708 | + | 0.0508198i | \(0.983817\pi\) | |||||||
\(242\) | 42.3965i | 2.72535i | ||||||||
\(243\) | 6.72548 | − | 6.72548i | 0.431439 | − | 0.431439i | ||||
\(244\) | 4.26801 | 0.273232 | ||||||||
\(245\) | 11.9310 | + | 1.33116i | 0.762242 | + | 0.0850449i | ||||
\(246\) | 2.23891i | 0.142748i | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −0.559851 | + | 0.559851i | −0.0355505 | + | 0.0355505i | ||||
\(249\) | 3.73055 | + | 3.73055i | 0.236414 | + | 0.236414i | ||||
\(250\) | 23.7796 | + | 8.23389i | 1.50395 | + | 0.520757i | ||||
\(251\) | − | 2.36772i | − | 0.149449i | −0.997204 | − | 0.0747245i | \(-0.976192\pi\) | ||
0.997204 | − | 0.0747245i | \(-0.0238078\pi\) | |||||||
\(252\) | 3.71034 | 0.233730 | ||||||||
\(253\) | 0.904826i | 0.0568859i | ||||||||
\(254\) | −0.834811 | + | 0.834811i | −0.0523807 | + | 0.0523807i | ||||
\(255\) | −1.58701 | + | 14.2241i | −0.0993827 | + | 0.890749i | ||||
\(256\) | −10.9822 | −0.686387 | ||||||||
\(257\) | 0.615209 | − | 0.615209i | 0.0383757 | − | 0.0383757i | −0.687659 | − | 0.726034i | \(-0.741361\pi\) |
0.726034 | + | 0.687659i | \(0.241361\pi\) | |||||||
\(258\) | −29.7954 | −1.85498 | ||||||||
\(259\) | 1.68797 | 0.104885 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 9.20175 | 0.569574 | ||||||||
\(262\) | 11.4765 | 0.709019 | ||||||||
\(263\) | −10.7397 | + | 10.7397i | −0.662236 | + | 0.662236i | −0.955907 | − | 0.293670i | \(-0.905123\pi\) |
0.293670 | + | 0.955907i | \(0.405123\pi\) | |||||||
\(264\) | −26.0424 | −1.60280 | ||||||||
\(265\) | 11.1122 | − | 8.88144i | 0.682615 | − | 0.545582i | ||||
\(266\) | 2.47706 | − | 2.47706i | 0.151878 | − | 0.151878i | ||||
\(267\) | 14.3273i | 0.876814i | ||||||||
\(268\) | −18.6248 | −1.13769 | ||||||||
\(269\) | − | 24.3816i | − | 1.48657i | −0.668975 | − | 0.743285i | \(-0.733267\pi\) | ||
0.668975 | − | 0.743285i | \(-0.266733\pi\) | |||||||
\(270\) | 12.8142 | + | 16.0327i | 0.779847 | + | 0.975719i | ||||
\(271\) | −9.27487 | − | 9.27487i | −0.563408 | − | 0.563408i | 0.366866 | − | 0.930274i | \(-0.380431\pi\) |
−0.930274 | + | 0.366866i | \(0.880431\pi\) | |||||||
\(272\) | 1.66544 | − | 1.66544i | 0.100982 | − | 0.100982i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 8.56086i | − | 0.517181i | ||||||
\(275\) | −14.5807 | − | 23.0934i | −0.879249 | − | 1.39259i | ||||
\(276\) | −1.00912 | −0.0607421 | ||||||||
\(277\) | −8.64616 | + | 8.64616i | −0.519498 | + | 0.519498i | −0.917419 | − | 0.397922i | \(-0.869732\pi\) |
0.397922 | + | 0.917419i | \(0.369732\pi\) | |||||||
\(278\) | 3.32717i | 0.199550i | ||||||||
\(279\) | 0.221051 | + | 0.221051i | 0.0132340 | + | 0.0132340i | ||||
\(280\) | −0.759900 | + | 6.81085i | −0.0454127 | + | 0.407026i | ||||
\(281\) | 6.43529 | + | 6.43529i | 0.383897 | + | 0.383897i | 0.872504 | − | 0.488607i | \(-0.162495\pi\) |
−0.488607 | + | 0.872504i | \(0.662495\pi\) | |||||||
\(282\) | −10.1198 | − | 10.1198i | −0.602623 | − | 0.602623i | ||||
\(283\) | −19.3416 | − | 19.3416i | −1.14974 | − | 1.14974i | −0.986603 | − | 0.163137i | \(-0.947839\pi\) |
−0.163137 | − | 0.986603i | \(-0.552161\pi\) | |||||||
\(284\) | 26.3575 | − | 26.3575i | 1.56403 | − | 1.56403i | ||||
\(285\) | −5.38044 | − | 0.600307i | −0.318710 | − | 0.0355591i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.452144 | − | 0.452144i | −0.0266892 | − | 0.0266892i | ||||
\(288\) | 6.10639i | 0.359823i | ||||||||
\(289\) | 6.62152i | 0.389501i | ||||||||
\(290\) | −5.41992 | + | 48.5777i | −0.318268 | + | 2.85258i | ||||
\(291\) | −5.87346 | + | 5.87346i | −0.344308 | + | 0.344308i | ||||
\(292\) | −22.5242 | −1.31813 | ||||||||
\(293\) | 26.1241 | 1.52618 | 0.763092 | − | 0.646289i | \(-0.223680\pi\) | ||||
0.763092 | + | 0.646289i | \(0.223680\pi\) | |||||||
\(294\) | 16.9770 | − | 16.9770i | 0.990118 | − | 0.990118i | ||||
\(295\) | −0.00401672 | + | 0.00321038i | −0.000233863 | + | 0.000186915i | ||||
\(296\) | − | 3.17146i | − | 0.184338i | ||||||
\(297\) | − | 22.2750i | − | 1.29253i | ||||||
\(298\) | −27.4005 | − | 27.4005i | −1.58727 | − | 1.58727i | ||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 25.7554 | − | 16.2614i | 1.48699 | − | 0.938852i | ||||
\(301\) | 6.01714 | − | 6.01714i | 0.346822 | − | 0.346822i | ||||
\(302\) | 22.6295 | + | 22.6295i | 1.30218 | + | 1.30218i | ||||
\(303\) | 12.1233 | + | 12.1233i | 0.696464 | + | 0.696464i | ||||
\(304\) | 0.629972 | + | 0.629972i | 0.0361314 | + | 0.0361314i | ||||
\(305\) | 3.09338 | + | 0.345135i | 0.177127 | + | 0.0197624i | ||||
\(306\) | 4.85803 | + | 4.85803i | 0.277715 | + | 0.277715i | ||||
\(307\) | − | 14.7038i | − | 0.839189i | −0.907712 | − | 0.419595i | \(-0.862172\pi\) | ||
0.907712 | − | 0.419595i | \(-0.137828\pi\) | |||||||
\(308\) | 15.1252 | − | 15.1252i | 0.861837 | − | 0.861837i | ||||
\(309\) | −3.02343 | −0.171997 | ||||||||
\(310\) | −1.29717 | + | 1.03677i | −0.0736744 | + | 0.0588845i | ||||
\(311\) | − | 31.8525i | − | 1.80619i | −0.429440 | − | 0.903095i | \(-0.641289\pi\) | ||
0.429440 | − | 0.903095i | \(-0.358711\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −11.9865 | + | 11.9865i | −0.677519 | + | 0.677519i | −0.959438 | − | 0.281919i | \(-0.909029\pi\) |
0.281919 | + | 0.959438i | \(0.409029\pi\) | |||||||
\(314\) | 6.91516 | + | 6.91516i | 0.390245 | + | 0.390245i | ||||
\(315\) | 2.68919 | + | 0.300039i | 0.151519 | + | 0.0169053i | ||||
\(316\) | − | 34.2714i | − | 1.92792i | ||||||
\(317\) | −15.5627 | −0.874088 | −0.437044 | − | 0.899440i | \(-0.643975\pi\) | ||||
−0.437044 | + | 0.899440i | \(0.643975\pi\) | |||||||
\(318\) | − | 28.4496i | − | 1.59537i | ||||||
\(319\) | 37.5108 | − | 37.5108i | 2.10020 | − | 2.10020i | ||||
\(320\) | −28.9874 | − | 3.23418i | −1.62044 | − | 0.180796i | ||||
\(321\) | 28.8603 | 1.61083 | ||||||||
\(322\) | 0.336721 | − | 0.336721i | 0.0187647 | − | 0.0187647i | ||||
\(323\) | 3.92578 | 0.218436 | ||||||||
\(324\) | 33.5580 | 1.86433 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −20.7187 | −1.14750 | ||||||||
\(327\) | −13.2736 | −0.734032 | ||||||||
\(328\) | −0.849517 | + | 0.849517i | −0.0469067 | + | 0.0469067i | ||||
\(329\) | 4.08734 | 0.225342 | ||||||||
\(330\) | −54.2835 | − | 6.05653i | −2.98821 | − | 0.333401i | ||||
\(331\) | −12.0656 | + | 12.0656i | −0.663187 | + | 0.663187i | −0.956130 | − | 0.292943i | \(-0.905365\pi\) |
0.292943 | + | 0.956130i | \(0.405365\pi\) | |||||||
\(332\) | 8.14177i | 0.446838i | ||||||||
\(333\) | −1.25222 | −0.0686212 | ||||||||
\(334\) | 28.4473i | 1.55657i | ||||||||
\(335\) | −13.4989 | − | 1.50610i | −0.737524 | − | 0.0822871i | ||||
\(336\) | −1.31182 | − | 1.31182i | −0.0715659 | − | 0.0715659i | ||||
\(337\) | −25.0560 | + | 25.0560i | −1.36489 | + | 1.36489i | −0.497319 | + | 0.867568i | \(0.665682\pi\) |
−0.867568 | + | 0.497319i | \(0.834318\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | − | 22.6395i | − | 1.22961i | ||||||
\(340\) | −17.2536 | + | 13.7900i | −0.935706 | + | 0.747866i | ||||
\(341\) | 1.80223 | 0.0975961 | ||||||||
\(342\) | −1.83761 | + | 1.83761i | −0.0993663 | + | 0.0993663i | ||||
\(343\) | 15.7972i | 0.852971i | ||||||||
\(344\) | −11.3054 | − | 11.3054i | −0.609546 | − | 0.609546i | ||||
\(345\) | −0.731396 | − | 0.0816033i | −0.0393770 | − | 0.00439337i | ||||
\(346\) | −21.8290 | − | 21.8290i | −1.17354 | − | 1.17354i | ||||
\(347\) | 9.12161 | + | 9.12161i | 0.489674 | + | 0.489674i | 0.908203 | − | 0.418529i | \(-0.137454\pi\) |
−0.418529 | + | 0.908203i | \(0.637454\pi\) | |||||||
\(348\) | 41.8346 | + | 41.8346i | 2.24257 | + | 2.24257i | ||||
\(349\) | −18.9866 | + | 18.9866i | −1.01633 | + | 1.01633i | −0.0164642 | + | 0.999864i | \(0.505241\pi\) |
−0.999864 | + | 0.0164642i | \(0.994759\pi\) | |||||||
\(350\) | −3.16792 | + | 14.0200i | −0.169332 | + | 0.749402i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 24.8926 | + | 24.8926i | 1.32678 | + | 1.32678i | ||||
\(353\) | 23.3117i | 1.24076i | 0.784303 | + | 0.620378i | \(0.213021\pi\) | ||||
−0.784303 | + | 0.620378i | \(0.786979\pi\) | |||||||
\(354\) | 0.0102837i | 0.000546571i | ||||||||
\(355\) | 21.2349 | − | 16.9720i | 1.12703 | − | 0.900782i | ||||
\(356\) | −15.6343 | + | 15.6343i | −0.828617 | + | 0.828617i | ||||
\(357\) | −8.17486 | −0.432660 | ||||||||
\(358\) | −28.4559 | −1.50394 | ||||||||
\(359\) | 9.17222 | − | 9.17222i | 0.484091 | − | 0.484091i | −0.422344 | − | 0.906435i | \(-0.638793\pi\) |
0.906435 | + | 0.422344i | \(0.138793\pi\) | |||||||
\(360\) | 0.563732 | − | 5.05263i | 0.0297113 | − | 0.266297i | ||||
\(361\) | − | 17.5150i | − | 0.921844i | ||||||
\(362\) | 18.3805i | 0.966059i | ||||||||
\(363\) | 26.4629 | + | 26.4629i | 1.38894 | + | 1.38894i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −16.3252 | − | 1.82143i | −0.854499 | − | 0.0953382i | ||||
\(366\) | 4.40168 | − | 4.40168i | 0.230079 | − | 0.230079i | ||||
\(367\) | 10.5124 | + | 10.5124i | 0.548741 | + | 0.548741i | 0.926077 | − | 0.377335i | \(-0.123160\pi\) |
−0.377335 | + | 0.926077i | \(0.623160\pi\) | |||||||
\(368\) | 0.0856360 | + | 0.0856360i | 0.00446408 | + | 0.00446408i | ||||
\(369\) | 0.335423 | + | 0.335423i | 0.0174614 | + | 0.0174614i | ||||
\(370\) | 0.737570 | − | 6.61070i | 0.0383444 | − | 0.343674i | ||||
\(371\) | 5.74534 | + | 5.74534i | 0.298283 | + | 0.298283i | ||||
\(372\) | 2.00997i | 0.104212i | ||||||||
\(373\) | 4.37075 | − | 4.37075i | 0.226309 | − | 0.226309i | −0.584840 | − | 0.811149i | \(-0.698843\pi\) |
0.811149 | + | 0.584840i | \(0.198843\pi\) | |||||||
\(374\) | 39.6074 | 2.04805 | ||||||||
\(375\) | 19.9820 | − | 9.70326i | 1.03187 | − | 0.501074i | ||||
\(376\) | − | 7.67955i | − | 0.396043i | ||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −8.28942 | + | 8.28942i | −0.426362 | + | 0.426362i | ||||
\(379\) | −12.9181 | − | 12.9181i | −0.663556 | − | 0.663556i | 0.292660 | − | 0.956216i | \(-0.405460\pi\) |
−0.956216 | + | 0.292660i | \(0.905460\pi\) | |||||||
\(380\) | −5.21622 | − | 6.52636i | −0.267586 | − | 0.334795i | ||||
\(381\) | 1.04214i | 0.0533903i | ||||||||
\(382\) | −33.2081 | −1.69907 | ||||||||
\(383\) | 10.2434i | 0.523414i | 0.965147 | + | 0.261707i | \(0.0842854\pi\) | ||||
−0.965147 | + | 0.261707i | \(0.915715\pi\) | |||||||
\(384\) | −23.1383 | + | 23.1383i | −1.18077 | + | 1.18077i | ||||
\(385\) | 12.1856 | − | 9.73936i | 0.621034 | − | 0.496364i | ||||
\(386\) | 33.9802 | 1.72955 | ||||||||
\(387\) | −4.46382 | + | 4.46382i | −0.226909 | + | 0.226909i | ||||
\(388\) | −12.8186 | −0.650765 | ||||||||
\(389\) | 3.41200 | 0.172995 | 0.0864977 | − | 0.996252i | \(-0.472432\pi\) | ||||
0.0864977 | + | 0.996252i | \(0.472432\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.533655 | 0.0269881 | ||||||||
\(392\) | 12.8833 | 0.650704 | ||||||||
\(393\) | 7.16333 | − | 7.16333i | 0.361342 | − | 0.361342i | ||||
\(394\) | 34.5983 | 1.74304 | ||||||||
\(395\) | 2.77138 | − | 24.8393i | 0.139443 | − | 1.24980i | ||||
\(396\) | −11.2206 | + | 11.2206i | −0.563858 | + | 0.563858i | ||||
\(397\) | 11.9321i | 0.598853i | 0.954119 | + | 0.299426i | \(0.0967953\pi\) | ||||
−0.954119 | + | 0.299426i | \(0.903205\pi\) | |||||||
\(398\) | 25.7857 | 1.29252 | ||||||||
\(399\) | − | 3.09223i | − | 0.154805i | ||||||
\(400\) | −3.56561 | − | 0.805675i | −0.178281 | − | 0.0402838i | ||||
\(401\) | 2.88224 | + | 2.88224i | 0.143932 | + | 0.143932i | 0.775401 | − | 0.631469i | \(-0.217548\pi\) |
−0.631469 | + | 0.775401i | \(0.717548\pi\) | |||||||
\(402\) | −19.2081 | + | 19.2081i | −0.958011 | + | 0.958011i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 26.4586i | 1.31636i | ||||||||
\(405\) | 24.3222 | + | 2.71368i | 1.20858 | + | 0.134844i | ||||
\(406\) | −27.9185 | −1.38557 | ||||||||
\(407\) | −5.10466 | + | 5.10466i | −0.253029 | + | 0.253029i | ||||
\(408\) | 15.3595i | 0.760406i | ||||||||
\(409\) | −4.90669 | − | 4.90669i | −0.242620 | − | 0.242620i | 0.575313 | − | 0.817933i | \(-0.304880\pi\) |
−0.817933 | + | 0.575313i | \(0.804880\pi\) | |||||||
\(410\) | −1.96833 | + | 1.57319i | −0.0972088 | + | 0.0776945i | ||||
\(411\) | −5.34348 | − | 5.34348i | −0.263574 | − | 0.263574i | ||||
\(412\) | −3.29926 | − | 3.29926i | −0.162543 | − | 0.162543i | ||||
\(413\) | −0.00207677 | − | 0.00207677i | −0.000102191 | − | 0.000102191i | ||||
\(414\) | −0.249797 | + | 0.249797i | −0.0122768 | + | 0.0122768i | ||||
\(415\) | −0.658389 | + | 5.90102i | −0.0323190 | + | 0.289670i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 2.07674 | + | 2.07674i | 0.101698 | + | 0.101698i | ||||
\(418\) | 14.9820i | 0.732791i | ||||||||
\(419\) | − | 21.2287i | − | 1.03709i | −0.855050 | − | 0.518546i | \(-0.826474\pi\) | ||
0.855050 | − | 0.518546i | \(-0.173526\pi\) | |||||||
\(420\) | 10.8620 | + | 13.5902i | 0.530012 | + | 0.663133i | ||||
\(421\) | 3.15727 | − | 3.15727i | 0.153876 | − | 0.153876i | −0.625971 | − | 0.779847i | \(-0.715297\pi\) |
0.779847 | + | 0.625971i | \(0.215297\pi\) | |||||||
\(422\) | 7.16636 | 0.348853 | ||||||||
\(423\) | −3.03219 | −0.147430 | ||||||||
\(424\) | 10.7947 | − | 10.7947i | 0.524238 | − | 0.524238i | ||||
\(425\) | −13.6202 | + | 8.59952i | −0.660678 | + | 0.417138i | ||||
\(426\) | − | 54.3659i | − | 2.63403i | ||||||
\(427\) | 1.77782i | 0.0860349i | ||||||||
\(428\) | 31.4932 | + | 31.4932i | 1.52228 | + | 1.52228i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −20.9361 | − | 26.1946i | −1.00963 | − | 1.26321i | ||||
\(431\) | −25.3455 | + | 25.3455i | −1.22085 | + | 1.22085i | −0.253522 | + | 0.967330i | \(0.581589\pi\) |
−0.967330 | + | 0.253522i | \(0.918411\pi\) | |||||||
\(432\) | −2.10819 | − | 2.10819i | −0.101430 | − | 0.101430i | ||||
\(433\) | 5.72268 | + | 5.72268i | 0.275014 | + | 0.275014i | 0.831115 | − | 0.556101i | \(-0.187703\pi\) |
−0.556101 | + | 0.831115i | \(0.687703\pi\) | |||||||
\(434\) | −0.670679 | − | 0.670679i | −0.0321936 | − | 0.0321936i | ||||
\(435\) | 26.9380 | + | 33.7040i | 1.29158 | + | 1.61598i | ||||
\(436\) | −14.4845 | − | 14.4845i | −0.693684 | − | 0.693684i | ||||
\(437\) | 0.201861i | 0.00965633i | ||||||||
\(438\) | −23.2296 | + | 23.2296i | −1.10996 | + | 1.10996i | ||||
\(439\) | 28.6671 | 1.36821 | 0.684104 | − | 0.729384i | \(-0.260193\pi\) | ||||
0.684104 | + | 0.729384i | \(0.260193\pi\) | |||||||
\(440\) | −18.2989 | − | 22.8950i | −0.872368 | − | 1.09148i | ||||
\(441\) | − | 5.08683i | − | 0.242230i | ||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −17.1586 | + | 17.1586i | −0.815229 | + | 0.815229i | −0.985412 | − | 0.170184i | \(-0.945564\pi\) |
0.170184 | + | 0.985412i | \(0.445564\pi\) | |||||||
\(444\) | −5.69307 | − | 5.69307i | −0.270181 | − | 0.270181i | ||||
\(445\) | −12.5958 | + | 10.0672i | −0.597096 | + | 0.477231i | ||||
\(446\) | − | 26.7339i | − | 1.26589i | ||||||
\(447\) | −34.2054 | −1.61786 | ||||||||
\(448\) | − | 16.6596i | − | 0.787090i | ||||||
\(449\) | −6.48150 | + | 6.48150i | −0.305881 | + | 0.305881i | −0.843309 | − | 0.537428i | \(-0.819396\pi\) |
0.537428 | + | 0.843309i | \(0.319396\pi\) | |||||||
\(450\) | 2.35012 | − | 10.4008i | 0.110786 | − | 0.490297i | ||||
\(451\) | 2.73470 | 0.128772 | ||||||||
\(452\) | 24.7049 | − | 24.7049i | 1.16202 | − | 1.16202i | ||||
\(453\) | 28.2495 | 1.32728 | ||||||||
\(454\) | 62.2722 | 2.92258 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −5.80989 | −0.272073 | ||||||||
\(457\) | 21.4798 | 1.00478 | 0.502391 | − | 0.864640i | \(-0.332454\pi\) | ||||
0.502391 | + | 0.864640i | \(0.332454\pi\) | |||||||
\(458\) | 29.0354 | − | 29.0354i | 1.35673 | − | 1.35673i | ||||
\(459\) | −13.1375 | −0.613208 | ||||||||
\(460\) | −0.709072 | − | 0.887168i | −0.0330607 | − | 0.0413644i | ||||
\(461\) | −3.59137 | + | 3.59137i | −0.167267 | + | 0.167267i | −0.785777 | − | 0.618510i | \(-0.787737\pi\) |
0.618510 | + | 0.785777i | \(0.287737\pi\) | |||||||
\(462\) | − | 31.1977i | − | 1.45145i | ||||||
\(463\) | 20.0793 | 0.933163 | 0.466581 | − | 0.884478i | \(-0.345485\pi\) | ||||
0.466581 | + | 0.884478i | \(0.345485\pi\) | |||||||
\(464\) | − | 7.10032i | − | 0.329624i | ||||||
\(465\) | −0.162537 | + | 1.45679i | −0.00753747 | + | 0.0675570i | ||||
\(466\) | 36.8107 | + | 36.8107i | 1.70522 | + | 1.70522i | ||||
\(467\) | 21.4507 | − | 21.4507i | 0.992618 | − | 0.992618i | −0.00735447 | − | 0.999973i | \(-0.502341\pi\) |
0.999973 | + | 0.00735447i | \(0.00234102\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − | 7.75807i | − | 0.358234i | ||||||
\(470\) | 1.78599 | − | 16.0075i | 0.0823816 | − | 0.738372i | ||||
\(471\) | 8.63254 | 0.397767 | ||||||||
\(472\) | −0.00390197 | + | 0.00390197i | −0.000179603 | + | 0.000179603i | ||||
\(473\) | 36.3934i | 1.67337i | ||||||||
\(474\) | −35.3447 | − | 35.3447i | −1.62344 | − | 1.62344i | ||||
\(475\) | −3.25287 | − | 5.15200i | −0.149252 | − | 0.236390i | ||||
\(476\) | −8.92064 | − | 8.92064i | −0.408877 | − | 0.408877i | ||||
\(477\) | −4.26219 | − | 4.26219i | −0.195152 | − | 0.195152i | ||||
\(478\) | −5.89248 | − | 5.89248i | −0.269516 | − | 0.269516i | ||||
\(479\) | 21.9979 | − | 21.9979i | 1.00511 | − | 1.00511i | 0.00512249 | − | 0.999987i | \(-0.498369\pi\) |
0.999987 | − | 0.00512249i | \(-0.00163055\pi\) | |||||||
\(480\) | −22.3664 | + | 17.8764i | −1.02088 | + | 0.815943i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | −33.1210 | − | 33.1210i | −1.50862 | − | 1.50862i | ||||
\(483\) | − | 0.420346i | − | 0.0191264i | ||||||
\(484\) | 57.7541i | 2.62518i | ||||||||
\(485\) | −9.29068 | − | 1.03658i | −0.421868 | − | 0.0470687i | ||||
\(486\) | 15.1377 | − | 15.1377i | 0.686662 | − | 0.686662i | ||||
\(487\) | −19.4316 | −0.880529 | −0.440264 | − | 0.897868i | \(-0.645115\pi\) | ||||
−0.440264 | + | 0.897868i | \(0.645115\pi\) | |||||||
\(488\) | 3.34029 | 0.151208 | ||||||||
\(489\) | −12.9321 | + | 12.9321i | −0.584810 | + | 0.584810i | ||||
\(490\) | 26.8543 | + | 2.99619i | 1.21315 | + | 0.135354i | ||||
\(491\) | 35.3136i | 1.59368i | 0.604191 | + | 0.796839i | \(0.293496\pi\) | ||||
−0.604191 | + | 0.796839i | \(0.706504\pi\) | |||||||
\(492\) | 3.04992i | 0.137501i | ||||||||
\(493\) | −22.1234 | − | 22.1234i | −0.996389 | − | 0.996389i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −9.03988 | + | 7.22515i | −0.406312 | + | 0.324746i | ||||
\(496\) | 0.170569 | − | 0.170569i | 0.00765878 | − | 0.00765878i | ||||
\(497\) | 10.9791 | + | 10.9791i | 0.492480 | + | 0.492480i | ||||
\(498\) | 8.39676 | + | 8.39676i | 0.376268 | + | 0.376268i | ||||
\(499\) | −9.44430 | − | 9.44430i | −0.422785 | − | 0.422785i | 0.463377 | − | 0.886161i | \(-0.346638\pi\) |
−0.886161 | + | 0.463377i | \(0.846638\pi\) | |||||||
\(500\) | 32.3934 | + | 11.2165i | 1.44868 | + | 0.501617i | ||||
\(501\) | 17.7561 | + | 17.7561i | 0.793285 | + | 0.793285i | ||||
\(502\) | − | 5.32928i | − | 0.237857i | ||||||
\(503\) | −17.0606 | + | 17.0606i | −0.760693 | + | 0.760693i | −0.976448 | − | 0.215754i | \(-0.930779\pi\) |
0.215754 | + | 0.976448i | \(0.430779\pi\) | |||||||
\(504\) | 2.90384 | 0.129347 | ||||||||
\(505\) | −2.13958 | + | 19.1767i | −0.0952102 | + | 0.853352i | ||||
\(506\) | 2.03659i | 0.0905374i | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.13721 | + | 1.13721i | −0.0504555 | + | 0.0504555i | ||||
\(509\) | −2.63199 | − | 2.63199i | −0.116661 | − | 0.116661i | 0.646366 | − | 0.763027i | \(-0.276288\pi\) |
−0.763027 | + | 0.646366i | \(0.776288\pi\) | |||||||
\(510\) | −3.57206 | + | 32.0158i | −0.158174 | + | 1.41768i | ||||
\(511\) | − | 9.38238i | − | 0.415052i | ||||||
\(512\) | 8.22064 | 0.363304 | ||||||||
\(513\) | − | 4.96943i | − | 0.219406i | ||||||
\(514\) | 1.38472 | − | 1.38472i | 0.0610772 | − | 0.0610772i | ||||
\(515\) | −2.12445 | − | 2.65804i | −0.0936144 | − | 0.117127i | ||||
\(516\) | −40.5884 | −1.78681 | ||||||||
\(517\) | −12.3607 | + | 12.3607i | −0.543623 | + | 0.543623i | ||||
\(518\) | 3.79929 | 0.166931 | ||||||||
\(519\) | −27.2503 | −1.19615 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 45.2323 | 1.98166 | 0.990832 | − | 0.135103i | \(-0.0431364\pi\) | ||||
0.990832 | + | 0.135103i | \(0.0431364\pi\) | |||||||
\(522\) | 20.7114 | 0.906511 | ||||||||
\(523\) | 0.807155 | − | 0.807155i | 0.0352944 | − | 0.0352944i | −0.689239 | − | 0.724534i | \(-0.742055\pi\) |
0.724534 | + | 0.689239i | \(0.242055\pi\) | |||||||
\(524\) | 15.6337 | 0.682960 | ||||||||
\(525\) | 6.77362 | + | 10.7283i | 0.295625 | + | 0.468221i | ||||
\(526\) | −24.1729 | + | 24.1729i | −1.05399 | + | 1.05399i | ||||
\(527\) | − | 1.06293i | − | 0.0463020i | ||||||
\(528\) | 7.93430 | 0.345296 | ||||||||
\(529\) | − | 22.9726i | − | 0.998807i | ||||||
\(530\) | 25.0113 | − | 19.9904i | 1.08642 | − | 0.868328i | ||||
\(531\) | 0.00154066 | + | 0.00154066i | 6.68587e−5 | + | 6.68587e-5i | ||||
\(532\) | 3.37434 | − | 3.37434i | 0.146296 | − | 0.146296i | ||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 32.2479i | 1.39550i | ||||||||
\(535\) | 20.2790 | + | 25.3724i | 0.876738 | + | 1.09695i | ||||
\(536\) | −14.5764 | −0.629603 | ||||||||
\(537\) | −17.7615 | + | 17.7615i | −0.766463 | + | 0.766463i | ||||
\(538\) | − | 54.8782i | − | 2.36597i | ||||||
\(539\) | −20.7364 | − | 20.7364i | −0.893180 | − | 0.893180i | ||||
\(540\) | 17.4560 | + | 21.8403i | 0.751185 | + | 0.939858i | ||||
\(541\) | −22.3573 | − | 22.3573i | −0.961218 | − | 0.961218i | 0.0380580 | − | 0.999276i | \(-0.487883\pi\) |
−0.999276 | + | 0.0380580i | \(0.987883\pi\) | |||||||
\(542\) | −20.8759 | − | 20.8759i | −0.896698 | − | 0.896698i | ||||
\(543\) | 11.4727 | + | 11.4727i | 0.492339 | + | 0.492339i | ||||
\(544\) | 14.6814 | − | 14.6814i | 0.629459 | − | 0.629459i | ||||
\(545\) | −9.32685 | − | 11.6694i | −0.399518 | − | 0.499864i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.20384 | − | 5.20384i | −0.222500 | − | 0.222500i | 0.587050 | − | 0.809550i | \(-0.300289\pi\) |
−0.809550 | + | 0.587050i | \(0.800289\pi\) | |||||||
\(548\) | − | 11.6619i | − | 0.498173i | ||||||
\(549\) | − | 1.31888i | − | 0.0562884i | ||||||
\(550\) | −32.8183 | − | 51.9789i | −1.39938 | − | 2.21639i | ||||
\(551\) | 8.36844 | − | 8.36844i | 0.356507 | − | 0.356507i | ||||
\(552\) | −0.789774 | −0.0336150 | ||||||||
\(553\) | 14.2756 | 0.607061 | ||||||||
\(554\) | −19.4608 | + | 19.4608i | −0.826812 | + | 0.826812i | ||||
\(555\) | −3.66586 | − | 4.58661i | −0.155607 | − | 0.194691i | ||||
\(556\) | 4.53239i | 0.192216i | ||||||||
\(557\) | − | 6.58643i | − | 0.279076i | −0.990217 | − | 0.139538i | \(-0.955438\pi\) | ||
0.990217 | − | 0.139538i | \(-0.0445617\pi\) | |||||||
\(558\) | 0.497544 | + | 0.497544i | 0.0210627 | + | 0.0210627i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0.231518 | − | 2.07505i | 0.00978343 | − | 0.0876871i | ||||
\(561\) | 24.7220 | − | 24.7220i | 1.04376 | − | 1.04376i | ||||
\(562\) | 14.4846 | + | 14.4846i | 0.610996 | + | 0.610996i | ||||
\(563\) | 20.7568 | + | 20.7568i | 0.874794 | + | 0.874794i | 0.992990 | − | 0.118197i | \(-0.0377113\pi\) |
−0.118197 | + | 0.992990i | \(0.537711\pi\) | |||||||
\(564\) | −13.7855 | − | 13.7855i | −0.580475 | − | 0.580475i | ||||
\(565\) | 19.9034 | − | 15.9079i | 0.837344 | − | 0.669250i | ||||
\(566\) | −43.5343 | − | 43.5343i | −1.82988 | − | 1.82988i | ||||
\(567\) | 13.9784i | 0.587039i | ||||||||
\(568\) | 20.6282 | − | 20.6282i | 0.865542 | − | 0.865542i | ||||
\(569\) | −33.9087 | −1.42153 | −0.710763 | − | 0.703432i | \(-0.751650\pi\) | ||||
−0.710763 | + | 0.703432i | \(0.751650\pi\) | |||||||
\(570\) | −12.1103 | − | 1.35117i | −0.507246 | − | 0.0565945i | ||||
\(571\) | − | 33.5525i | − | 1.40413i | −0.712113 | − | 0.702065i | \(-0.752262\pi\) | ||
0.712113 | − | 0.702065i | \(-0.247738\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −20.7277 | + | 20.7277i | −0.865910 | + | 0.865910i | ||||
\(574\) | −1.01769 | − | 1.01769i | −0.0424775 | − | 0.0424775i | ||||
\(575\) | −0.442182 | − | 0.700343i | −0.0184403 | − | 0.0292063i | ||||
\(576\) | 12.3589i | 0.514954i | ||||||||
\(577\) | −11.0413 | −0.459654 | −0.229827 | − | 0.973232i | \(-0.573816\pi\) | ||||
−0.229827 | + | 0.973232i | \(0.573816\pi\) | |||||||
\(578\) | 14.9038i | 0.619914i | ||||||||
\(579\) | 21.2096 | − | 21.2096i | 0.881442 | − | 0.881442i | ||||
\(580\) | −7.38321 | + | 66.1743i | −0.306571 | + | 2.74774i | ||||
\(581\) | −3.39142 | −0.140700 | ||||||||
\(582\) | −13.2200 | + | 13.2200i | −0.547988 | + | 0.547988i | ||||
\(583\) | −34.7495 | −1.43918 | ||||||||
\(584\) | −17.6282 | −0.729461 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 58.8002 | 2.42902 | ||||||||
\(587\) | −23.5058 | −0.970190 | −0.485095 | − | 0.874461i | \(-0.661215\pi\) | ||||
−0.485095 | + | 0.874461i | \(0.661215\pi\) | |||||||
\(588\) | 23.1267 | − | 23.1267i | 0.953728 | − | 0.953728i | ||||
\(589\) | 0.402066 | 0.0165668 | ||||||||
\(590\) | −0.00904086 | + | 0.00722594i | −0.000372206 | + | 0.000297487i | ||||
\(591\) | 21.5954 | − | 21.5954i | 0.888317 | − | 0.888317i | ||||
\(592\) | 0.966247i | 0.0397125i | ||||||||
\(593\) | 30.6582 | 1.25898 | 0.629491 | − | 0.777007i | \(-0.283263\pi\) | ||||
0.629491 | + | 0.777007i | \(0.283263\pi\) | |||||||
\(594\) | − | 50.1368i | − | 2.05714i | ||||||
\(595\) | −5.74416 | − | 7.18690i | −0.235487 | − | 0.294634i | ||||
\(596\) | −37.3259 | − | 37.3259i | −1.52893 | − | 1.52893i | ||||
\(597\) | 16.0948 | − | 16.0948i | 0.658717 | − | 0.658717i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 7.49378i | 0.306188i | 0.988212 | + | 0.153094i | \(0.0489237\pi\) | ||||
−0.988212 | + | 0.153094i | \(0.951076\pi\) | |||||||
\(600\) | 20.1570 | − | 12.7267i | 0.822906 | − | 0.519566i | ||||
\(601\) | −14.0931 | −0.574868 | −0.287434 | − | 0.957801i | \(-0.592802\pi\) | ||||
−0.287434 | + | 0.957801i | \(0.592802\pi\) | |||||||
\(602\) | 13.5434 | − | 13.5434i | 0.551989 | − | 0.551989i | ||||
\(603\) | 5.75533i | 0.234375i | ||||||||
\(604\) | 30.8267 | + | 30.8267i | 1.25432 | + | 1.25432i | ||||
\(605\) | −4.67031 | + | 41.8591i | −0.189875 | + | 1.70182i | ||||
\(606\) | 27.2872 | + | 27.2872i | 1.10847 | + | 1.10847i | ||||
\(607\) | 10.6631 | + | 10.6631i | 0.432801 | + | 0.432801i | 0.889580 | − | 0.456779i | \(-0.150997\pi\) |
−0.456779 | + | 0.889580i | \(0.650997\pi\) | |||||||
\(608\) | 5.55340 | + | 5.55340i | 0.225220 | + | 0.225220i | ||||
\(609\) | −17.4260 | + | 17.4260i | −0.706139 | + | 0.706139i | ||||
\(610\) | 6.96260 | + | 0.776832i | 0.281908 | + | 0.0314530i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 6.61779 | + | 6.61779i | 0.267508 | + | 0.267508i | ||||
\(613\) | 11.9161i | 0.481288i | 0.970613 | + | 0.240644i | \(0.0773587\pi\) | ||||
−0.970613 | + | 0.240644i | \(0.922641\pi\) | |||||||
\(614\) | − | 33.0954i | − | 1.33562i | ||||||
\(615\) | −0.246634 | + | 2.21053i | −0.00994522 | + | 0.0891372i | ||||
\(616\) | 11.8375 | − | 11.8375i | 0.476945 | − | 0.476945i | ||||
\(617\) | 38.8317 | 1.56330 | 0.781652 | − | 0.623714i | \(-0.214377\pi\) | ||||
0.781652 | + | 0.623714i | \(0.214377\pi\) | |||||||
\(618\) | −6.80516 | −0.273744 | ||||||||
\(619\) | −14.9567 | + | 14.9567i | −0.601159 | + | 0.601159i | −0.940620 | − | 0.339461i | \(-0.889755\pi\) |
0.339461 | + | 0.940620i | \(0.389755\pi\) | |||||||
\(620\) | −1.76706 | + | 1.41233i | −0.0709667 | + | 0.0567203i | ||||
\(621\) | − | 0.675525i | − | 0.0271079i | ||||||
\(622\) | − | 71.6939i | − | 2.87466i | ||||||
\(623\) | −6.51241 | − | 6.51241i | −0.260914 | − | 0.260914i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 22.5712 | + | 10.7490i | 0.902847 | + | 0.429961i | ||||
\(626\) | −26.9794 | + | 26.9794i | −1.07831 | + | 1.07831i | ||||
\(627\) | 9.35137 | + | 9.35137i | 0.373458 | + | 0.373458i | ||||
\(628\) | 9.42008 | + | 9.42008i | 0.375902 | + | 0.375902i | ||||
\(629\) | 3.01067 | + | 3.01067i | 0.120043 | + | 0.120043i | ||||
\(630\) | 6.05286 | + | 0.675330i | 0.241152 | + | 0.0269058i | ||||
\(631\) | 27.6170 | + | 27.6170i | 1.09942 | + | 1.09942i | 0.994479 | + | 0.104938i | \(0.0334646\pi\) |
0.104938 | + | 0.994479i | \(0.466535\pi\) | |||||||
\(632\) | − | 26.8219i | − | 1.06692i | ||||||
\(633\) | 4.47307 | − | 4.47307i | 0.177788 | − | 0.177788i | ||||
\(634\) | −35.0286 | −1.39116 | ||||||||
\(635\) | −0.916191 | + | 0.732269i | −0.0363579 | + | 0.0290592i | ||||
\(636\) | − | 38.7550i | − | 1.53674i | ||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 84.4296 | − | 84.4296i | 3.34260 | − | 3.34260i | ||||
\(639\) | −8.14485 | − | 8.14485i | −0.322205 | − | 0.322205i | ||||
\(640\) | −36.6003 | − | 4.08357i | −1.44675 | − | 0.161417i | ||||
\(641\) | − | 8.72499i | − | 0.344617i | −0.985043 | − | 0.172308i | \(-0.944877\pi\) | ||
0.985043 | − | 0.172308i | \(-0.0551225\pi\) | |||||||
\(642\) | 64.9590 | 2.56373 | ||||||||
\(643\) | 14.7970i | 0.583538i | 0.956489 | + | 0.291769i | \(0.0942439\pi\) | ||||
−0.956489 | + | 0.291769i | \(0.905756\pi\) | |||||||
\(644\) | 0.458694 | − | 0.458694i | 0.0180751 | − | 0.0180751i | ||||
\(645\) | −29.4178 | − | 3.28220i | −1.15832 | − | 0.129237i | ||||
\(646\) | 8.83617 | 0.347655 | ||||||||
\(647\) | 23.9537 | − | 23.9537i | 0.941716 | − | 0.941716i | −0.0566765 | − | 0.998393i | \(-0.518050\pi\) |
0.998393 | + | 0.0566765i | \(0.0180504\pi\) | |||||||
\(648\) | 26.2636 | 1.03173 | ||||||||
\(649\) | 0.0125609 | 0.000493060 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.837243 | −0.0328141 | ||||||||
\(652\) | −28.2238 | −1.10533 | ||||||||
\(653\) | −14.3176 | + | 14.3176i | −0.560289 | + | 0.560289i | −0.929390 | − | 0.369100i | \(-0.879666\pi\) |
0.369100 | + | 0.929390i | \(0.379666\pi\) | |||||||
\(654\) | −29.8763 | −1.16826 | ||||||||
\(655\) | 11.3310 | + | 1.26422i | 0.442739 | + | 0.0493973i | ||||
\(656\) | 0.258822 | − | 0.258822i | 0.0101053 | − | 0.0101053i | ||||
\(657\) | 6.96032i | 0.271548i | ||||||||
\(658\) | 9.19981 | 0.358646 | ||||||||
\(659\) | 30.2898i | 1.17992i | 0.807432 | + | 0.589961i | \(0.200857\pi\) | ||||
−0.807432 | + | 0.589961i | \(0.799143\pi\) | |||||||
\(660\) | −73.9470 | − | 8.25042i | −2.87838 | − | 0.321147i | ||||
\(661\) | −15.4711 | − | 15.4711i | −0.601754 | − | 0.601754i | 0.339024 | − | 0.940778i | \(-0.389903\pi\) |
−0.940778 | + | 0.339024i | \(0.889903\pi\) | |||||||
\(662\) | −27.1574 | + | 27.1574i | −1.05550 | + | 1.05550i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 6.37202i | 0.247282i | ||||||||
\(665\) | 2.71853 | − | 2.17279i | 0.105420 | − | 0.0842573i | ||||
\(666\) | −2.81851 | −0.109215 | ||||||||
\(667\) | 1.13757 | − | 1.13757i | 0.0440470 | − | 0.0440470i | ||||
\(668\) | 38.7520i | 1.49936i | ||||||||
\(669\) | −16.6867 | − | 16.6867i | −0.645143 | − | 0.645143i | ||||
\(670\) | −30.3834 | − | 3.38994i | −1.17381 | − | 0.130965i | ||||
\(671\) | −5.37640 | − | 5.37640i | −0.207553 | − | 0.207553i | ||||
\(672\) | −11.5641 | − | 11.5641i | −0.446096 | − | 0.446096i | ||||
\(673\) | −0.406042 | − | 0.406042i | −0.0156518 | − | 0.0156518i | 0.699238 | − | 0.714889i | \(-0.253523\pi\) |
−0.714889 | + | 0.699238i | \(0.753523\pi\) | |||||||
\(674\) | −56.3962 | + | 56.3962i | −2.17230 | + | 2.17230i | ||||
\(675\) | 10.8857 | + | 17.2411i | 0.418989 | + | 0.663610i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −11.5229 | − | 11.5229i | −0.442862 | − | 0.442862i | 0.450111 | − | 0.892973i | \(-0.351385\pi\) |
−0.892973 | + | 0.450111i | \(0.851385\pi\) | |||||||
\(678\) | − | 50.9571i | − | 1.95700i | ||||||
\(679\) | − | 5.33952i | − | 0.204912i | ||||||
\(680\) | −13.5032 | + | 10.7925i | −0.517825 | + | 0.413873i | ||||
\(681\) | 38.8688 | − | 38.8688i | 1.48946 | − | 1.48946i | ||||
\(682\) | 4.05646 | 0.155330 | ||||||||
\(683\) | −20.1058 | −0.769326 | −0.384663 | − | 0.923057i | \(-0.625682\pi\) | ||||
−0.384663 | + | 0.923057i | \(0.625682\pi\) | |||||||
\(684\) | −2.50325 | + | 2.50325i | −0.0957143 | + | 0.0957143i | ||||
\(685\) | 0.943047 | − | 8.45236i | 0.0360320 | − | 0.322948i | ||||
\(686\) | 35.5565i | 1.35755i | ||||||||
\(687\) | − | 36.2463i | − | 1.38288i | ||||||
\(688\) | 3.44440 | + | 3.44440i | 0.131317 | + | 0.131317i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −1.64623 | − | 0.183673i | −0.0626709 | − | 0.00699232i | ||||
\(691\) | 30.6415 | − | 30.6415i | 1.16566 | − | 1.16566i | 0.182443 | − | 0.983216i | \(-0.441600\pi\) |
0.983216 | − | 0.182443i | \(-0.0584005\pi\) | |||||||
\(692\) | −29.7363 | − | 29.7363i | −1.13040 | − | 1.13040i | ||||
\(693\) | −4.67390 | − | 4.67390i | −0.177547 | − | 0.177547i | ||||
\(694\) | 20.5310 | + | 20.5310i | 0.779346 | + | 0.779346i | ||||
\(695\) | −0.366514 | + | 3.28500i | −0.0139027 | + | 0.124607i | ||||
\(696\) | 32.7412 | + | 32.7412i | 1.24105 | + | 1.24105i | ||||
\(697\) | − | 1.61289i | − | 0.0610926i | ||||||
\(698\) | −42.7351 | + | 42.7351i | −1.61755 | + | 1.61755i | ||||
\(699\) | 45.9527 | 1.73809 | ||||||||
\(700\) | −4.31546 | + | 19.0986i | −0.163109 | + | 0.721859i | ||||
\(701\) | − | 8.03468i | − | 0.303466i | −0.988422 | − | 0.151733i | \(-0.951515\pi\) | ||
0.988422 | − | 0.151733i | \(-0.0484853\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.13882 | + | 1.13882i | −0.0429514 | + | 0.0429514i | ||||
\(704\) | 50.3809 | + | 50.3809i | 1.89880 | + | 1.89880i | ||||
\(705\) | −8.87673 | − | 11.1063i | −0.334317 | − | 0.418286i | ||||
\(706\) | 52.4701i | 1.97474i | ||||||||
\(707\) | −11.0212 | −0.414495 | ||||||||
\(708\) | 0.0140088i | 0.000526483i | ||||||||
\(709\) | −16.0704 | + | 16.0704i | −0.603536 | + | 0.603536i | −0.941249 | − | 0.337713i | \(-0.890347\pi\) |
0.337713 | + | 0.941249i | \(0.390347\pi\) | |||||||
\(710\) | 47.7956 | − | 38.2008i | 1.79374 | − | 1.43365i | ||||
\(711\) | −10.5904 | −0.397170 | ||||||||
\(712\) | −12.2359 | + | 12.2359i | −0.458561 | + | 0.458561i | ||||
\(713\) | 0.0546553 | 0.00204686 | ||||||||
\(714\) | −18.4000 | −0.688604 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −38.7636 | −1.44866 | ||||||||
\(717\) | −7.35589 | −0.274711 | ||||||||
\(718\) | 20.6449 | − | 20.6449i | 0.770460 | − | 0.770460i | ||||
\(719\) | 42.9573 | 1.60204 | 0.801018 | − | 0.598640i | \(-0.204292\pi\) | ||||
0.801018 | + | 0.598640i | \(0.204292\pi\) | |||||||
\(720\) | −0.171752 | + | 1.53938i | −0.00640081 | + | 0.0573693i | ||||
\(721\) | 1.37429 | − | 1.37429i | 0.0511813 | − | 0.0511813i | ||||
\(722\) | − | 39.4229i | − | 1.46717i | ||||||
\(723\) | −41.3467 | −1.53770 | ||||||||
\(724\) | 25.0386i | 0.930553i | ||||||||
\(725\) | −10.7024 | + | 47.3650i | −0.397479 | + | 1.75909i | ||||
\(726\) | 59.5628 | + | 59.5628i | 2.21058 | + | 2.21058i | ||||
\(727\) | 1.42786 | − | 1.42786i | 0.0529563 | − | 0.0529563i | −0.680133 | − | 0.733089i | \(-0.738078\pi\) |
0.733089 | + | 0.680133i | \(0.238078\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 13.9369i | 0.516183i | ||||||||
\(730\) | −36.7448 | − | 4.09970i | −1.35999 | − | 0.151737i | ||||
\(731\) | 21.4644 | 0.793889 | ||||||||
\(732\) | 5.99613 | − | 5.99613i | 0.221623 | − | 0.221623i | ||||
\(733\) | 32.1064i | 1.18588i | 0.805247 | + | 0.592939i | \(0.202033\pi\) | ||||
−0.805247 | + | 0.592939i | \(0.797967\pi\) | |||||||
\(734\) | 23.6613 | + | 23.6613i | 0.873355 | + | 0.873355i | ||||
\(735\) | 18.6320 | − | 14.8917i | 0.687250 | − | 0.549287i | ||||
\(736\) | 0.754907 | + | 0.754907i | 0.0278262 | + | 0.0278262i | ||||
\(737\) | 23.4615 | + | 23.4615i | 0.864217 | + | 0.864217i | ||||
\(738\) | 0.754973 | + | 0.754973i | 0.0277909 | + | 0.0277909i | ||||
\(739\) | 14.5283 | − | 14.5283i | 0.534431 | − | 0.534431i | −0.387457 | − | 0.921888i | \(-0.626646\pi\) |
0.921888 | + | 0.387457i | \(0.126646\pi\) | |||||||
\(740\) | 1.00474 | − | 9.00534i | 0.0369351 | − | 0.331043i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 12.9317 | + | 12.9317i | 0.474736 | + | 0.474736i | ||||
\(743\) | 22.5040i | 0.825593i | 0.910823 | + | 0.412797i | \(0.135448\pi\) | ||||
−0.910823 | + | 0.412797i | \(0.864552\pi\) | |||||||
\(744\) | 1.57307i | 0.0576714i | ||||||||
\(745\) | −24.0348 | − | 30.0716i | −0.880567 | − | 1.10174i | ||||
\(746\) | 9.83771 | − | 9.83771i | 0.360184 | − | 0.360184i | ||||
\(747\) | 2.51593 | 0.0920530 | ||||||||
\(748\) | 53.9547 | 1.97278 | ||||||||
\(749\) | −13.1184 | + | 13.1184i | −0.479334 | + | 0.479334i | ||||
\(750\) | 44.9757 | − | 21.8402i | 1.64228 | − | 0.797490i | ||||
\(751\) | − | 1.66512i | − | 0.0607611i | −0.999538 | − | 0.0303806i | \(-0.990328\pi\) | ||
0.999538 | − | 0.0303806i | \(-0.00967192\pi\) | |||||||
\(752\) | 2.33972i | 0.0853209i | ||||||||
\(753\) | −3.32640 | − | 3.32640i | −0.121221 | − | 0.121221i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 19.8498 | + | 24.8355i | 0.722410 | + | 0.903855i | ||||
\(756\) | −11.2921 | + | 11.2921i | −0.410692 | + | 0.410692i | ||||
\(757\) | −27.5976 | − | 27.5976i | −1.00305 | − | 1.00305i | −0.999995 | − | 0.00305681i | \(-0.999027\pi\) |
−0.00305681 | − | 0.999995i | \(-0.500973\pi\) | |||||||
\(758\) | −29.0761 | − | 29.0761i | −1.05609 | − | 1.05609i | ||||
\(759\) | 1.27119 | + | 1.27119i | 0.0461412 | + | 0.0461412i | ||||
\(760\) | −4.08238 | − | 5.10774i | −0.148084 | − | 0.185277i | ||||
\(761\) | 11.5012 | + | 11.5012i | 0.416918 | + | 0.416918i | 0.884140 | − | 0.467222i | \(-0.154745\pi\) |
−0.467222 | + | 0.884140i | \(0.654745\pi\) | |||||||
\(762\) | 2.34565i | 0.0849739i | ||||||||
\(763\) | 6.03348 | − | 6.03348i | 0.218426 | − | 0.218426i | ||||
\(764\) | −45.2372 | −1.63663 | ||||||||
\(765\) | 4.26131 | + | 5.33161i | 0.154068 | + | 0.192765i | ||||
\(766\) | 23.0560i | 0.833045i | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −15.4289 | + | 15.4289i | −0.556741 | + | 0.556741i | ||||
\(769\) | −28.2209 | − | 28.2209i | −1.01767 | − | 1.01767i | −0.999841 | − | 0.0178298i | \(-0.994324\pi\) |
−0.0178298 | − | 0.999841i | \(-0.505676\pi\) | |||||||
\(770\) | 27.4274 | − | 21.9214i | 0.988414 | − | 0.789993i | ||||
\(771\) | − | 1.72861i | − | 0.0622544i | ||||||
\(772\) | 46.2891 | 1.66598 | ||||||||
\(773\) | 20.5887i | 0.740525i | 0.928927 | + | 0.370262i | \(0.120732\pi\) | ||||
−0.928927 | + | 0.370262i | \(0.879268\pi\) | |||||||
\(774\) | −10.0472 | + | 10.0472i | −0.361139 | + | 0.361139i | ||||
\(775\) | −1.39494 | + | 0.880735i | −0.0501077 | + | 0.0316369i | ||||
\(776\) | −10.0322 | −0.360137 | ||||||||
\(777\) | 2.37142 | − | 2.37142i | 0.0850744 | − | 0.0850744i | ||||
\(778\) | 7.67976 | 0.275333 | ||||||||
\(779\) | 0.610095 | 0.0218589 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −66.4048 | −2.37615 | ||||||||
\(782\) | 1.20115 | 0.0429532 | ||||||||
\(783\) | −28.0048 | + | 28.0048i | −1.00081 | + | 1.00081i | ||||
\(784\) | −3.92514 | −0.140183 | ||||||||
\(785\) | 6.06575 | + | 7.58927i | 0.216496 | + | 0.270873i | ||||
\(786\) | 16.1233 | − | 16.1233i | 0.575098 | − | 0.575098i | ||||
\(787\) | − | 28.6489i | − | 1.02122i | −0.859812 | − | 0.510611i | \(-0.829419\pi\) | ||
0.859812 | − | 0.510611i | \(-0.170581\pi\) | |||||||
\(788\) | 47.1311 | 1.67898 | ||||||||
\(789\) | 30.1763i | 1.07430i | ||||||||
\(790\) | 6.23783 | − | 55.9085i | 0.221932 | − | 1.98914i | ||||
\(791\) | 10.2907 | + | 10.2907i | 0.365895 | + | 0.365895i | ||||
\(792\) | −8.78163 | + | 8.78163i | −0.312042 | + | 0.312042i | ||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 26.8568i | 0.953111i | ||||||||
\(795\) | 3.13395 | − | 28.0890i | 0.111150 | − | 0.996214i | ||||
\(796\) | 35.1262 | 1.24502 | ||||||||
\(797\) | 6.21167 | − | 6.21167i | 0.220029 | − | 0.220029i | −0.588482 | − | 0.808510i | \(-0.700274\pi\) |
0.808510 | + | 0.588482i | \(0.200274\pi\) | |||||||
\(798\) | − | 6.96002i | − | 0.246382i | ||||||
\(799\) | 7.29019 | + | 7.29019i | 0.257909 | + | 0.257909i | ||||
\(800\) | −31.4320 | − | 7.10227i | −1.11129 | − | 0.251103i | ||||
\(801\) | 4.83124 | + | 4.83124i | 0.170703 | + | 0.170703i | ||||
\(802\) | 6.48736 | + | 6.48736i | 0.229077 | + | 0.229077i | ||||
\(803\) | 28.3737 | + | 28.3737i | 1.00129 | + | 1.00129i | ||||
\(804\) | −26.1659 | + | 26.1659i | −0.922801 | + | 0.922801i | ||||
\(805\) | 0.369546 | − | 0.295361i | 0.0130248 | − | 0.0104101i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −34.2536 | − | 34.2536i | −1.20578 | − | 1.20578i | ||||
\(808\) | 20.7073i | 0.728482i | ||||||||
\(809\) | − | 0.947514i | − | 0.0333128i | −0.999861 | − | 0.0166564i | \(-0.994698\pi\) | ||
0.999861 | − | 0.0166564i | \(-0.00530214\pi\) | |||||||
\(810\) | 54.7446 | + | 6.10797i | 1.92353 | + | 0.214612i | ||||
\(811\) | −28.8041 | + | 28.8041i | −1.01145 | + | 1.01145i | −0.0115151 | + | 0.999934i | \(0.503665\pi\) |
−0.999934 | + | 0.0115151i | \(0.996335\pi\) | |||||||
\(812\) | −38.0316 | −1.33465 | ||||||||
\(813\) | −26.0605 | −0.913981 | ||||||||
\(814\) | −11.4896 | + | 11.4896i | −0.402711 | + | 0.402711i | ||||
\(815\) | −20.4561 | − | 2.28233i | −0.716546 | − | 0.0799465i | ||||
\(816\) | − | 4.67955i | − | 0.163817i | ||||||
\(817\) | 8.11915i | 0.284053i | ||||||||
\(818\) | −11.0440 | − | 11.0440i | −0.386145 | − | 0.386145i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −2.68133 | + | 2.14306i | −0.0936361 | + | 0.0748390i | ||||
\(821\) | −0.951434 | + | 0.951434i | −0.0332053 | + | 0.0332053i | −0.723514 | − | 0.690309i | \(-0.757474\pi\) |
0.690309 | + | 0.723514i | \(0.257474\pi\) | |||||||
\(822\) | −12.0271 | − | 12.0271i | −0.419495 | − | 0.419495i | ||||
\(823\) | −23.3838 | − | 23.3838i | −0.815109 | − | 0.815109i | 0.170286 | − | 0.985395i | \(-0.445531\pi\) |
−0.985395 | + | 0.170286i | \(0.945531\pi\) | |||||||
\(824\) | −2.58211 | − | 2.58211i | −0.0899520 | − | 0.0899520i | ||||
\(825\) | −52.9283 | − | 11.9595i | −1.84273 | − | 0.416377i | ||||
\(826\) | −0.00467441 | − | 0.00467441i | −0.000162644 | − | 0.000162644i | ||||
\(827\) | 26.4195i | 0.918697i | 0.888256 | + | 0.459349i | \(0.151917\pi\) | ||||
−0.888256 | + | 0.459349i | \(0.848083\pi\) | |||||||
\(828\) | −0.340282 | + | 0.340282i | −0.0118256 | + | 0.0118256i | ||||
\(829\) | 2.46068 | 0.0854629 | 0.0427314 | − | 0.999087i | \(-0.486394\pi\) | ||||
0.0427314 | + | 0.999087i | \(0.486394\pi\) | |||||||
\(830\) | −1.48191 | + | 13.2820i | −0.0514377 | + | 0.461027i | ||||
\(831\) | 24.2940i | 0.842748i | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −12.2301 | + | 12.2301i | −0.423747 | + | 0.423747i | ||||
\(834\) | 4.67434 | + | 4.67434i | 0.161859 | + | 0.161859i | ||||
\(835\) | −3.13370 | + | 28.0868i | −0.108446 | + | 0.971983i | ||||
\(836\) | 20.4090i | 0.705859i | ||||||||
\(837\) | −1.34551 | −0.0465075 | ||||||||
\(838\) | − | 47.7818i | − | 1.65059i | ||||||
\(839\) | −35.6002 | + | 35.6002i | −1.22906 | + | 1.22906i | −0.264736 | + | 0.964321i | \(0.585285\pi\) |
−0.964321 | + | 0.264736i | \(0.914715\pi\) | |||||||
\(840\) | 8.50096 | + | 10.6361i | 0.293311 | + | 0.366981i | ||||
\(841\) | −65.3193 | −2.25239 | ||||||||
\(842\) | 7.10641 | − | 7.10641i | 0.244903 | − | 0.244903i | ||||
\(843\) | 18.0819 | 0.622773 | ||||||||
\(844\) | 9.76228 | 0.336032 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −6.82488 | −0.234644 | ||||||||
\(847\) | −24.0572 | −0.826616 | ||||||||
\(848\) | −3.28882 | + | 3.28882i | −0.112939 | + | 0.112939i | ||||
\(849\) | −54.3461 | −1.86515 | ||||||||
\(850\) | −30.6565 | + | 19.3559i | −1.05151 | + | 0.663900i | ||||
\(851\) | −0.154807 | + | 0.154807i | −0.00530670 | + | 0.00530670i | ||||
\(852\) | − | 74.0592i | − | 2.53723i | ||||||
\(853\) | −42.9612 | −1.47096 | −0.735481 | − | 0.677545i | \(-0.763044\pi\) | ||||
−0.735481 | + | 0.677545i | \(0.763044\pi\) | |||||||
\(854\) | 4.00154i | 0.136930i | ||||||||
\(855\) | −2.01674 | + | 1.61189i | −0.0689711 | + | 0.0551254i | ||||
\(856\) | 24.6476 | + | 24.6476i | 0.842438 | + | 0.842438i | ||||
\(857\) | −29.0789 | + | 29.0789i | −0.993316 | + | 0.993316i | −0.999978 | − | 0.00666151i | \(-0.997880\pi\) |
0.00666151 | + | 0.999978i | \(0.497880\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 42.1283i | − | 1.43740i | −0.695321 | − | 0.718700i | \(-0.744738\pi\) | ||
0.695321 | − | 0.718700i | \(-0.255262\pi\) | |||||||
\(860\) | −28.5199 | − | 35.6832i | −0.972521 | − | 1.21679i | ||||
\(861\) | −1.27043 | −0.0432962 | ||||||||
\(862\) | −57.0479 | + | 57.0479i | −1.94306 | + | 1.94306i | ||||
\(863\) | 6.80768i | 0.231736i | 0.993265 | + | 0.115868i | \(0.0369650\pi\) | ||||
−0.993265 | + | 0.115868i | \(0.963035\pi\) | |||||||
\(864\) | −18.5843 | − | 18.5843i | −0.632252 | − | 0.632252i | ||||
\(865\) | −19.1477 | − | 23.9570i | −0.651041 | − | 0.814562i | ||||
\(866\) | 12.8806 | + | 12.8806i | 0.437702 | + | 0.437702i | ||||
\(867\) | 9.30256 | + | 9.30256i | 0.315931 | + | 0.315931i | ||||
\(868\) | −0.913624 | − | 0.913624i | −0.0310104 | − | 0.0310104i | ||||
\(869\) | −43.1715 | + | 43.1715i | −1.46449 | + | 1.46449i | ||||
\(870\) | 60.6323 | + | 75.8612i | 2.05563 | + | 2.57194i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | −11.3361 | − | 11.3361i | −0.383888 | − | 0.383888i | ||||
\(873\) | 3.96113i | 0.134064i | ||||||||
\(874\) | 0.454351i | 0.0153686i | ||||||||
\(875\) | −4.67219 | + | 13.4934i | −0.157949 | + | 0.456159i | ||||
\(876\) | −31.6443 | + | 31.6443i | −1.06916 | + | 1.06916i | ||||
\(877\) | −47.6814 | −1.61009 | −0.805043 | − | 0.593217i | \(-0.797858\pi\) | ||||
−0.805043 | + | 0.593217i | \(0.797858\pi\) | |||||||
\(878\) | 64.5242 | 2.17759 | ||||||||
\(879\) | 36.7017 | − | 36.7017i | 1.23792 | − | 1.23792i | ||||
\(880\) | 5.57512 | + | 6.97541i | 0.187937 | + | 0.235141i | ||||
\(881\) | − | 5.12384i | − | 0.172627i | −0.996268 | − | 0.0863133i | \(-0.972491\pi\) | ||
0.996268 | − | 0.0863133i | \(-0.0275086\pi\) | |||||||
\(882\) | − | 11.4495i | − | 0.385524i | ||||||
\(883\) | 14.8283 | + | 14.8283i | 0.499014 | + | 0.499014i | 0.911131 | − | 0.412117i | \(-0.135211\pi\) |
−0.412117 | + | 0.911131i | \(0.635211\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.00113283 | + | 0.0101533i | −3.80796e−5 | + | 0.000341301i | ||||
\(886\) | −38.6206 | + | 38.6206i | −1.29749 | + | 1.29749i | ||||
\(887\) | −7.44750 | − | 7.44750i | −0.250063 | − | 0.250063i | 0.570934 | − | 0.820996i | \(-0.306581\pi\) |
−0.820996 | + | 0.570934i | \(0.806581\pi\) | |||||||
\(888\) | −4.45558 | − | 4.45558i | −0.149520 | − | 0.149520i | ||||
\(889\) | −0.473700 | − | 0.473700i | −0.0158874 | − | 0.0158874i | ||||
\(890\) | −28.3506 | + | 22.6593i | −0.950315 | + | 0.759543i | ||||
\(891\) | −42.2728 | − | 42.2728i | −1.41619 | − | 1.41619i | ||||
\(892\) | − | 36.4179i | − | 1.21936i | ||||||
\(893\) | −2.75760 | + | 2.75760i | −0.0922795 | + | 0.0922795i | ||||
\(894\) | −76.9898 | −2.57492 | ||||||||
\(895\) | −28.0952 | − | 3.13464i | −0.939119 | − | 0.104779i | ||||
\(896\) | − | 21.0349i | − | 0.702725i | ||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −14.5886 | + | 14.5886i | −0.486828 | + | 0.486828i | ||||
\(899\) | −2.26581 | − | 2.26581i | −0.0755690 | − | 0.0755690i | ||||
\(900\) | 3.20143 | − | 14.1683i | 0.106714 | − | 0.472277i | ||||
\(901\) | 20.4948i | 0.682782i | ||||||||
\(902\) | 6.15528 | 0.204948 | ||||||||
\(903\) | − | 16.9069i | − | 0.562628i | ||||||
\(904\) | 19.3348 | − | 19.3348i | 0.643067 | − | 0.643067i | ||||
\(905\) | −2.02476 | + | 18.1476i | −0.0673053 | + | 0.603245i | ||||
\(906\) | 63.5842 | 2.11244 | ||||||||
\(907\) | 15.2289 | − | 15.2289i | 0.505668 | − | 0.505668i | −0.407526 | − | 0.913194i | \(-0.633608\pi\) |
0.913194 | + | 0.407526i | \(0.133608\pi\) | |||||||
\(908\) | 84.8295 | 2.81517 | ||||||||
\(909\) | 8.17608 | 0.271184 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −16.6400 | −0.551309 | −0.275654 | − | 0.961257i | \(-0.588895\pi\) | ||||
−0.275654 | + | 0.961257i | \(0.588895\pi\) | |||||||
\(912\) | 1.77009 | 0.0586137 | ||||||||
\(913\) | 10.2562 | − | 10.2562i | 0.339429 | − | 0.339429i | ||||
\(914\) | 48.3469 | 1.59917 | ||||||||
\(915\) | 4.83077 | − | 3.86101i | 0.159700 | − | 0.127641i | ||||
\(916\) | 39.5530 | − | 39.5530i | 1.30687 | − | 1.30687i | ||||
\(917\) | 6.51214i | 0.215050i | ||||||||
\(918\) | −29.5701 | −0.975958 | ||||||||
\(919\) | − | 6.87460i | − | 0.226772i | −0.993551 | − | 0.113386i | \(-0.963830\pi\) | ||
0.993551 | − | 0.113386i | \(-0.0361697\pi\) | |||||||
\(920\) | −0.554943 | − | 0.694327i | −0.0182959 | − | 0.0228913i | ||||
\(921\) | −20.6573 | − | 20.6573i | −0.680682 | − | 0.680682i | ||||
\(922\) | −8.08349 | + | 8.08349i | −0.266216 | + | 0.266216i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | − | 42.4987i | − | 1.39810i | ||||||
\(925\) | 1.45644 | − | 6.44566i | 0.0478875 | − | 0.211932i | ||||
\(926\) | 45.1946 | 1.48519 | ||||||||
\(927\) | −1.01952 | + | 1.01952i | −0.0334854 | + | 0.0334854i | ||||
\(928\) | − | 62.5915i | − | 2.05467i | ||||||
\(929\) | 31.4342 | + | 31.4342i | 1.03132 | + | 1.03132i | 0.999493 | + | 0.0318293i | \(0.0101333\pi\) |
0.0318293 | + | 0.999493i | \(0.489867\pi\) | |||||||
\(930\) | −0.365839 | + | 3.27895i | −0.0119963 | + | 0.107521i | ||||
\(931\) | −4.62617 | − | 4.62617i | −0.151617 | − | 0.151617i | ||||
\(932\) | 50.1449 | + | 50.1449i | 1.64255 | + | 1.64255i | ||||
\(933\) | −44.7495 | − | 44.7495i | −1.46503 | − | 1.46503i | ||||
\(934\) | 48.2813 | − | 48.2813i | 1.57981 | − | 1.57981i | ||||
\(935\) | 39.1054 | + | 4.36307i | 1.27888 | + | 0.142688i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 13.1724 | + | 13.1724i | 0.430323 | + | 0.430323i | 0.888738 | − | 0.458415i | \(-0.151583\pi\) |
−0.458415 | + | 0.888738i | \(0.651583\pi\) | |||||||
\(938\) | − | 17.4619i | − | 0.570152i | ||||||
\(939\) | 33.6797i | 1.09910i | ||||||||
\(940\) | 2.43294 | − | 21.8060i | 0.0793538 | − | 0.711234i | ||||
\(941\) | −40.0251 | + | 40.0251i | −1.30478 | + | 1.30478i | −0.379650 | + | 0.925130i | \(0.623955\pi\) |
−0.925130 | + | 0.379650i | \(0.876045\pi\) | |||||||
\(942\) | 19.4302 | 0.633070 | ||||||||
\(943\) | 0.0829339 | 0.00270070 | ||||||||
\(944\) | 0.00118881 | − | 0.00118881i | 3.86925e−5 | − | 3.86925e-5i | ||||
\(945\) | −9.09750 | + | 7.27121i | −0.295942 | + | 0.236532i | ||||
\(946\) | 81.9146i | 2.66327i | ||||||||
\(947\) | 58.8943i | 1.91381i | 0.290404 | + | 0.956904i | \(0.406210\pi\) | ||||
−0.290404 | + | 0.956904i | \(0.593790\pi\) | |||||||
\(948\) | −48.1479 | − | 48.1479i | −1.56377 | − | 1.56377i | ||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −7.32157 | − | 11.5962i | −0.237543 | − | 0.376229i | ||||
\(951\) | −21.8640 | + | 21.8640i | −0.708989 | + | 0.708989i | ||||
\(952\) | −6.98159 | − | 6.98159i | −0.226275 | − | 0.226275i | ||||
\(953\) | −12.6246 | − | 12.6246i | −0.408953 | − | 0.408953i | 0.472421 | − | 0.881373i | \(-0.343380\pi\) |
−0.881373 | + | 0.472421i | \(0.843380\pi\) | |||||||
\(954\) | −9.59336 | − | 9.59336i | −0.310596 | − | 0.310596i | ||||
\(955\) | −32.7872 | − | 3.65813i | −1.06097 | − | 0.118374i | ||||
\(956\) | −8.02696 | − | 8.02696i | −0.259610 | − | 0.259610i | ||||
\(957\) | − | 105.398i | − | 3.40703i | ||||||
\(958\) | 49.5130 | − | 49.5130i | 1.59969 | − | 1.59969i | ||||
\(959\) | 4.85772 | 0.156864 | ||||||||
\(960\) | −45.2680 | + | 36.1806i | −1.46102 | + | 1.16772i | ||||
\(961\) | 30.8911i | 0.996488i | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 9.73187 | − | 9.73187i | 0.313605 | − | 0.313605i | ||||
\(964\) | −45.1187 | − | 45.1187i | −1.45317 | − | 1.45317i | ||||
\(965\) | 33.5495 | + | 3.74319i | 1.08000 | + | 0.120498i | ||||
\(966\) | − | 0.946118i | − | 0.0304409i | ||||||
\(967\) | 23.2093 | 0.746360 | 0.373180 | − | 0.927759i | \(-0.378267\pi\) | ||||
0.373180 | + | 0.927759i | \(0.378267\pi\) | |||||||
\(968\) | 45.2002i | 1.45279i | ||||||||
\(969\) | 5.51532 | − | 5.51532i | 0.177178 | − | 0.177178i | ||||
\(970\) | −20.9115 | − | 2.33314i | −0.671429 | − | 0.0749127i | ||||
\(971\) | 42.3865 | 1.36025 | 0.680123 | − | 0.733098i | \(-0.261926\pi\) | ||||
0.680123 | + | 0.733098i | \(0.261926\pi\) | |||||||
\(972\) | 20.6212 | − | 20.6212i | 0.661425 | − | 0.661425i | ||||
\(973\) | −1.88795 | −0.0605249 | ||||||||
\(974\) | −43.7367 | −1.40141 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.01768 | −0.0325752 | ||||||||
\(977\) | 24.4098 | 0.780938 | 0.390469 | − | 0.920616i | \(-0.372313\pi\) | ||||
0.390469 | + | 0.920616i | \(0.372313\pi\) | |||||||
\(978\) | −29.1077 | + | 29.1077i | −0.930761 | + | 0.930761i | ||||
\(979\) | 39.3890 | 1.25888 | ||||||||
\(980\) | 36.5819 | + | 4.08152i | 1.16857 | + | 0.130379i | ||||
\(981\) | −4.47594 | + | 4.47594i | −0.142906 | + | 0.142906i | ||||
\(982\) | 79.4840i | 2.53644i | ||||||||
\(983\) | 4.47004 | 0.142572 | 0.0712860 | − | 0.997456i | \(-0.477290\pi\) | ||||
0.0712860 | + | 0.997456i | \(0.477290\pi\) | |||||||
\(984\) | 2.38697i | 0.0760938i | ||||||||
\(985\) | 34.1598 | + | 3.81128i | 1.08842 | + | 0.121438i | ||||
\(986\) | −49.7955 | − | 49.7955i | −1.58581 | − | 1.58581i | ||||
\(987\) | 5.74230 | − | 5.74230i | 0.182779 | − | 0.182779i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 1.10369i | 0.0350952i | ||||||||
\(990\) | −20.3470 | + | 16.2624i | −0.646671 | + | 0.516854i | ||||
\(991\) | −49.5350 | −1.57353 | −0.786766 | − | 0.617251i | \(-0.788246\pi\) | ||||
−0.786766 | + | 0.617251i | \(0.788246\pi\) | |||||||
\(992\) | 1.50362 | − | 1.50362i | 0.0477400 | − | 0.0477400i | ||||
\(993\) | 33.9020i | 1.07585i | ||||||||
\(994\) | 24.7118 | + | 24.7118i | 0.783812 | + | 0.783812i | ||||
\(995\) | 25.4589 | + | 2.84050i | 0.807101 | + | 0.0900499i | ||||
\(996\) | 11.4384 | + | 11.4384i | 0.362439 | + | 0.362439i | ||||
\(997\) | −24.7788 | − | 24.7788i | −0.784753 | − | 0.784753i | 0.195876 | − | 0.980629i | \(-0.437245\pi\) |
−0.980629 | + | 0.195876i | \(0.937245\pi\) | |||||||
\(998\) | −21.2573 | − | 21.2573i | −0.672888 | − | 0.672888i | ||||
\(999\) | 3.81104 | − | 3.81104i | 0.120576 | − | 0.120576i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))