Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(408,845)]
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, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.408");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.f (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 | 408.10 | ||
Root | \(2.25081i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.408 |
Dual form | 845.2.f.e.437.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.25081i | 1.59156i | 0.605585 | + | 0.795780i | \(0.292939\pi\) | ||||
−0.605585 | + | 0.795780i | \(0.707061\pi\) | |||||||
\(3\) | 1.40490 | + | 1.40490i | 0.811119 | + | 0.811119i | 0.984802 | − | 0.173683i | \(-0.0555668\pi\) |
−0.173683 | + | 0.984802i | \(0.555567\pi\) | |||||||
\(4\) | −3.06613 | −1.53307 | ||||||||
\(5\) | 0.247944 | + | 2.22228i | 0.110884 | + | 0.993833i | ||||
\(6\) | −3.16216 | + | 3.16216i | −1.29094 | + | 1.29094i | ||||
\(7\) | −1.27718 | −0.482730 | −0.241365 | − | 0.970434i | \(-0.577595\pi\) | ||||
−0.241365 | + | 0.970434i | \(0.577595\pi\) | |||||||
\(8\) | − | 2.39966i | − | 0.848406i | ||||||
\(9\) | 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 | \(0.0579619\pi\) |
0.181088 | + | 0.983467i | \(0.442038\pi\) | |||||||
\(12\) | −4.30760 | − | 4.30760i | −1.24350 | − | 1.24350i | ||||
\(13\) | 0 | 0 | ||||||||
\(14\) | − | 2.87469i | − | 0.768294i | ||||||
\(15\) | −2.77374 | + | 3.47041i | −0.716177 | + | 0.896057i | ||||
\(16\) | −0.731101 | −0.182775 | ||||||||
\(17\) | 2.27799 | + | 2.27799i | 0.552494 | + | 0.552494i | 0.927160 | − | 0.374666i | \(-0.122243\pi\) |
−0.374666 | + | 0.927160i | \(0.622243\pi\) | |||||||
\(18\) | −2.13259 | −0.502657 | ||||||||
\(19\) | −0.861676 | − | 0.861676i | −0.197682 | − | 0.197682i | 0.601324 | − | 0.799006i | \(-0.294640\pi\) |
−0.799006 | + | 0.601324i | \(0.794640\pi\) | |||||||
\(20\) | −0.760230 | − | 6.81380i | −0.169993 | − | 1.52361i | ||||
\(21\) | −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 | \(-0.744502\pi\) |
0.719213 | + | 0.694789i | \(0.244502\pi\) | |||||||
\(24\) | 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 | ||||
\(28\) | 3.91601 | 0.740057 | ||||||||
\(29\) | − | 9.71181i | − | 1.80344i | −0.432322 | − | 0.901719i | \(-0.642306\pi\) | ||
0.432322 | − | 0.901719i | \(-0.357694\pi\) | |||||||
\(30\) | −7.81123 | − | 6.24315i | −1.42613 | − | 1.13984i | ||||
\(31\) | 0.233305 | − | 0.233305i | 0.0419027 | − | 0.0419027i | −0.685845 | − | 0.727748i | \(-0.740567\pi\) |
0.727748 | + | 0.685845i | \(0.240567\pi\) | |||||||
\(32\) | − | 6.44488i | − | 1.13930i | ||||||
\(33\) | 10.8525i | 1.88918i | ||||||||
\(34\) | −5.12732 | + | 5.12732i | −0.879328 | + | 0.879328i | ||||
\(35\) | −0.316670 | − | 2.83826i | −0.0535271 | − | 0.479753i | ||||
\(36\) | − | 2.90510i | − | 0.484183i | ||||||
\(37\) | 1.32163 | 0.217275 | 0.108638 | − | 0.994081i | \(-0.465351\pi\) | ||||
0.108638 | + | 0.994081i | \(0.465351\pi\) | |||||||
\(38\) | 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 | −0.678922 | − | 0.734210i | \(-0.737553\pi\) |
0.734210 | + | 0.678922i | \(0.237553\pi\) | |||||||
\(42\) | 4.03865 | − | 4.03865i | 0.623178 | − | 0.623178i | ||||
\(43\) | 4.71126 | − | 4.71126i | 0.718460 | − | 0.718460i | −0.249830 | − | 0.968290i | \(-0.580375\pi\) |
0.968290 | + | 0.249830i | \(0.0803747\pi\) | |||||||
\(44\) | −11.8426 | − | 11.8426i | −1.78534 | − | 1.78534i | ||||
\(45\) | −2.10556 | + | 0.234922i | −0.313879 | + | 0.0350201i | ||||
\(46\) | 0.263643 | + | 0.263643i | 0.0388721 | + | 0.0388721i | ||||
\(47\) | 3.20027 | 0.466808 | 0.233404 | − | 0.972380i | \(-0.425014\pi\) | ||||
0.233404 | + | 0.972380i | \(0.425014\pi\) | |||||||
\(48\) | −1.02712 | − | 1.02712i | −0.148252 | − | 0.148252i | ||||
\(49\) | −5.36880 | −0.766972 | ||||||||
\(50\) | −2.48039 | − | 10.9773i | −0.350781 | − | 1.55242i | ||||
\(51\) | 6.40069i | 0.896276i | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.49845 | + | 4.49845i | 0.617909 | + | 0.617909i | 0.944995 | − | 0.327086i | \(-0.106067\pi\) |
−0.327086 | + | 0.944995i | \(0.606067\pi\) | |||||||
\(54\) | 6.49039 | + | 6.49039i | 0.883230 | + | 0.883230i | ||||
\(55\) | −7.62565 | + | 9.54097i | −1.02824 | + | 1.28650i | ||||
\(56\) | 3.06480i | 0.409551i | ||||||||
\(57\) | − | 2.42113i | − | 0.320687i | ||||||
\(58\) | 21.8594 | 2.87028 | ||||||||
\(59\) | −0.00162606 | + | 0.00162606i | −0.000211694 | + | 0.000211694i | −0.707213 | − | 0.707001i | \(-0.750048\pi\) |
0.707001 | + | 0.707213i | \(0.250048\pi\) | |||||||
\(60\) | 8.50465 | − | 10.6407i | 1.09795 | − | 1.37371i | ||||
\(61\) | 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 | ||||
\(63\) | − | 1.21011i | − | 0.152459i | ||||||
\(64\) | 13.0440 | 1.63050 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −24.4270 | −3.00675 | ||||||||
\(67\) | − | 6.07436i | − | 0.742101i | −0.928613 | − | 0.371050i | \(-0.878998\pi\) | ||
0.928613 | − | 0.371050i | \(-0.121002\pi\) | |||||||
\(68\) | −6.98462 | − | 6.98462i | −0.847009 | − | 0.847009i | ||||
\(69\) | 0.329120 | 0.0396213 | ||||||||
\(70\) | 6.38837 | − | 0.712764i | 0.763557 | − | 0.0851916i | ||||
\(71\) | −8.59633 | + | 8.59633i | −1.02020 | + | 1.02020i | −0.0204050 | + | 0.999792i | \(0.506496\pi\) |
−0.999792 | + | 0.0204050i | \(0.993504\pi\) | |||||||
\(72\) | 2.27363 | 0.267949 | ||||||||
\(73\) | 7.34614i | 0.859801i | 0.902876 | + | 0.429901i | \(0.141451\pi\) | ||||
−0.902876 | + | 0.429901i | \(0.858549\pi\) | |||||||
\(74\) | 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 | \(0.216445\pi\) | ||||
−0.777584 | + | 0.628779i | \(0.783555\pi\) | |||||||
\(80\) | −0.181272 | − | 1.62471i | −0.0202669 | − | 0.181648i | ||||
\(81\) | 10.9447 | 1.21608 | ||||||||
\(82\) | 0.796822 | + | 0.796822i | 0.0879943 | + | 0.0879943i | ||||
\(83\) | 2.65539 | 0.291467 | 0.145733 | − | 0.989324i | \(-0.453446\pi\) | ||||
0.145733 | + | 0.989324i | \(0.453446\pi\) | |||||||
\(84\) | 5.50160 | + | 5.50160i | 0.600274 | + | 0.600274i | ||||
\(85\) | −4.49752 | + | 5.62715i | −0.487824 | + | 0.610350i | ||||
\(86\) | 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 | ||||
\(93\) | 0.655538 | 0.0679762 | ||||||||
\(94\) | 7.20320i | 0.742953i | ||||||||
\(95\) | 1.70124 | − | 2.12853i | 0.174543 | − | 0.218383i | ||||
\(96\) | 9.05440 | − | 9.05440i | 0.924111 | − | 0.924111i | ||||
\(97\) | − | 4.18070i | − | 0.424486i | −0.977217 | − | 0.212243i | \(-0.931923\pi\) | ||
0.977217 | − | 0.212243i | \(-0.0680768\pi\) | |||||||
\(98\) | − | 12.0841i | − | 1.22068i | ||||||
\(99\) | −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 | \(0.858752\pi\) | |||||||
\(102\) | −14.4067 | −1.42648 | ||||||||
\(103\) | 1.07603 | − | 1.07603i | 0.106025 | − | 0.106025i | −0.652104 | − | 0.758129i | \(-0.726114\pi\) |
0.758129 | + | 0.652104i | \(0.226114\pi\) | |||||||
\(104\) | 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 | −0.00700981 | − | 0.999975i | \(-0.502231\pi\) |
0.999975 | + | 0.00700981i | \(0.00223131\pi\) | |||||||
\(108\) | −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 | \(0.853667\pi\) | |||||||
\(110\) | −21.4749 | − | 17.1639i | −2.04755 | − | 1.63651i | ||||
\(111\) | 1.85676 | + | 1.85676i | 0.176236 | + | 0.176236i | ||||
\(112\) | 0.933751 | 0.0882311 | ||||||||
\(113\) | 8.05734 | + | 8.05734i | 0.757971 | + | 0.757971i | 0.975953 | − | 0.217982i | \(-0.0699474\pi\) |
−0.217982 | + | 0.975953i | \(0.569947\pi\) | |||||||
\(114\) | 5.44951 | 0.510393 | ||||||||
\(115\) | 0.289344 | + | 0.231259i | 0.0269815 | + | 0.0215651i | ||||
\(116\) | 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 | ||||||||
\(122\) | 3.13309i | 0.283657i | ||||||||
\(123\) | 0.994714 | 0.0896903 | ||||||||
\(124\) | −0.715342 | + | 0.715342i | −0.0642396 | + | 0.0642396i | ||||
\(125\) | −3.65819 | − | 10.5649i | −0.327199 | − | 0.944956i | ||||
\(126\) | 2.72372 | 0.242648 | ||||||||
\(127\) | 0.370894 | + | 0.370894i | 0.0329115 | + | 0.0329115i | 0.723371 | − | 0.690460i | \(-0.242592\pi\) |
−0.690460 | + | 0.723371i | \(0.742592\pi\) | |||||||
\(128\) | 16.4697i | 1.45573i | ||||||||
\(129\) | 13.2377 | 1.16551 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.09883 | 0.445486 | 0.222743 | − | 0.974877i | \(-0.428499\pi\) | ||||
0.222743 | + | 0.974877i | \(0.428499\pi\) | |||||||
\(132\) | − | 33.2753i | − | 2.89624i | ||||||
\(133\) | 1.10052 | + | 1.10052i | 0.0954271 | + | 0.0954271i | ||||
\(134\) | 13.6722 | 1.18110 | ||||||||
\(135\) | 7.12309 | + | 5.69316i | 0.613058 | + | 0.489989i | ||||
\(136\) | 5.46639 | − | 5.46639i | 0.468739 | − | 0.468739i | ||||
\(137\) | 3.80346 | 0.324952 | 0.162476 | − | 0.986713i | \(-0.448052\pi\) | ||||
0.162476 | + | 0.986713i | \(0.448052\pi\) | |||||||
\(138\) | 0.740785i | 0.0630598i | ||||||||
\(139\) | − | 1.47821i | − | 0.125380i | −0.998033 | − | 0.0626902i | \(-0.980032\pi\) | ||
0.998033 | − | 0.0626902i | \(-0.0199680\pi\) | |||||||
\(140\) | 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 | ||||||
\(145\) | 21.5824 | − | 2.40799i | 1.79232 | − | 0.199973i | ||||
\(146\) | −16.5347 | −1.36843 | ||||||||
\(147\) | −7.54262 | − | 7.54262i | −0.622105 | − | 0.622105i | ||||
\(148\) | −4.05230 | −0.333097 | ||||||||
\(149\) | −12.1736 | − | 12.1736i | −0.997302 | − | 0.997302i | 0.00269418 | − | 0.999996i | \(-0.499142\pi\) |
−0.999996 | + | 0.00269418i | \(0.999142\pi\) | |||||||
\(150\) | 11.9373 | − | 18.9067i | 0.974675 | − | 1.54372i | ||||
\(151\) | −10.0539 | − | 10.0539i | −0.818178 | − | 0.818178i | 0.167666 | − | 0.985844i | \(-0.446377\pi\) |
−0.985844 | + | 0.167666i | \(0.946377\pi\) | |||||||
\(152\) | −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 | −0.573799 | − | 0.818996i | \(-0.694531\pi\) |
0.818996 | + | 0.573799i | \(0.194531\pi\) | |||||||
\(158\) | −25.1582 | −2.00148 | ||||||||
\(159\) | 12.6397i | 1.00240i | ||||||||
\(160\) | 14.3223 | − | 1.59797i | 1.13228 | − | 0.126331i | ||||
\(161\) | −0.149600 | + | 0.149600i | −0.0117902 | + | 0.0117902i | ||||
\(162\) | 24.6345i | 1.93547i | ||||||||
\(163\) | 9.20501i | 0.720992i | 0.932761 | + | 0.360496i | \(0.117393\pi\) | ||||
−0.932761 | + | 0.360496i | \(0.882607\pi\) | |||||||
\(164\) | −1.08546 | + | 1.08546i | −0.0847602 | + | 0.0847602i | ||||
\(165\) | −24.1174 | + | 2.69082i | −1.87753 | + | 0.209480i | ||||
\(166\) | 5.97677i | 0.463887i | ||||||||
\(167\) | −12.6387 | −0.978014 | −0.489007 | − | 0.872280i | \(-0.662641\pi\) | ||||
−0.489007 | + | 0.872280i | \(0.662641\pi\) | |||||||
\(168\) | −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 | \(-0.575416\pi\) |
0.972064 | + | 0.234716i | \(0.0754159\pi\) | |||||||
\(174\) | 30.7103 | + | 30.7103i | 2.32814 | + | 2.32814i | ||||
\(175\) | 6.22889 | − | 1.40746i | 0.470860 | − | 0.106394i | ||||
\(176\) | −2.82380 | − | 2.82380i | −0.212852 | − | 0.212852i | ||||
\(177\) | −0.00456889 | −0.000343419 | ||||||||
\(178\) | −11.4770 | − | 11.4770i | −0.860234 | − | 0.860234i | ||||
\(179\) | 12.6425 | 0.944946 | 0.472473 | − | 0.881345i | \(-0.343361\pi\) | ||||
0.472473 | + | 0.881345i | \(0.343361\pi\) | |||||||
\(180\) | 6.45594 | − | 0.720302i | 0.481197 | − | 0.0536882i | ||||
\(181\) | 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 | ||||||||
\(187\) | 17.5970i | 1.28682i | ||||||||
\(188\) | −9.81246 | −0.715647 | ||||||||
\(189\) | −3.68287 | + | 3.68287i | −0.267889 | + | 0.267889i | ||||
\(190\) | 4.79091 | + | 3.82916i | 0.347569 | + | 0.277796i | ||||
\(191\) | −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 | ||||
\(193\) | − | 15.0969i | − | 1.08670i | −0.839507 | − | 0.543349i | \(-0.817156\pi\) | ||
0.839507 | − | 0.543349i | \(-0.182844\pi\) | |||||||
\(194\) | 9.40995 | 0.675595 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 16.4614 | 1.17582 | ||||||||
\(197\) | 15.3715i | 1.09518i | 0.836748 | + | 0.547588i | \(0.184454\pi\) | ||||
−0.836748 | + | 0.547588i | \(0.815546\pi\) | |||||||
\(198\) | −8.23691 | − | 8.23691i | −0.585372 | − | 0.585372i | ||||
\(199\) | −11.4562 | −0.812109 | −0.406054 | − | 0.913849i | \(-0.633096\pi\) | ||||
−0.406054 | + | 0.913849i | \(0.633096\pi\) | |||||||
\(200\) | 2.64443 | + | 11.7032i | 0.186989 | + | 0.827544i | ||||
\(201\) | 8.53385 | − | 8.53385i | 0.601932 | − | 0.601932i | ||||
\(202\) | −19.4229 | −1.36659 | ||||||||
\(203\) | 12.4038i | 0.870574i | ||||||||
\(204\) | − | 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 | ||||||
\(210\) | 9.97638 | + | 7.97366i | 0.688435 | + | 0.550234i | ||||
\(211\) | 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 | ||||
\(213\) | −24.1539 | −1.65500 | ||||||||
\(214\) | 23.1187 | + | 23.1187i | 1.58037 | + | 1.58037i | ||||
\(215\) | 11.6379 | + | 9.30159i | 0.793695 | + | 0.634363i | ||||
\(216\) | −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 | ||||
\(223\) | −11.8775 | −0.795375 | −0.397688 | − | 0.917521i | \(-0.630187\pi\) | ||||
−0.397688 | + | 0.917521i | \(0.630187\pi\) | |||||||
\(224\) | 8.23130i | 0.549977i | ||||||||
\(225\) | −1.04413 | − | 4.62090i | −0.0696084 | − | 0.308060i | ||||
\(226\) | −18.1355 | + | 18.1355i | −1.20636 | + | 1.20636i | ||||
\(227\) | 27.6666i | 1.83630i | 0.396236 | + | 0.918149i | \(0.370316\pi\) | ||||
−0.396236 | + | 0.918149i | \(0.629684\pi\) | |||||||
\(228\) | 7.42352i | 0.491634i | ||||||||
\(229\) | 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 | ||||||
\(232\) | −23.3050 | −1.53005 | ||||||||
\(233\) | −16.3545 | + | 16.3545i | −1.07142 | + | 1.07142i | −0.0741712 | + | 0.997246i | \(0.523631\pi\) |
−0.997246 | + | 0.0741712i | \(0.976369\pi\) | |||||||
\(234\) | 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 | \(0.788207\pi\) | |||||||
\(240\) | 2.02788 | − | 2.53722i | 0.130899 | − | 0.163777i | ||||
\(241\) | 14.7152 | + | 14.7152i | 0.947888 | + | 0.947888i | 0.998708 | − | 0.0508198i | \(-0.0161834\pi\) |
−0.0508198 | + | 0.998708i | \(0.516183\pi\) | |||||||
\(242\) | −42.3965 | −2.72535 | ||||||||
\(243\) | 6.72548 | + | 6.72548i | 0.431439 | + | 0.431439i | ||||
\(244\) | −4.26801 | −0.273232 | ||||||||
\(245\) | −1.33116 | − | 11.9310i | −0.0850449 | − | 0.762242i | ||||
\(246\) | 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 | \(-0.0238078\pi\) | |||||||
\(252\) | 3.71034i | 0.233730i | ||||||||
\(253\) | 0.904826 | 0.0568859 | ||||||||
\(254\) | −0.834811 | + | 0.834811i | −0.0523807 | + | 0.0523807i | ||||
\(255\) | −14.2241 | + | 1.58701i | −0.890749 | + | 0.0993827i | ||||
\(256\) | −10.9822 | −0.686387 | ||||||||
\(257\) | −0.615209 | − | 0.615209i | −0.0383757 | − | 0.0383757i | 0.687659 | − | 0.726034i | \(-0.258639\pi\) |
−0.726034 | + | 0.687659i | \(0.758639\pi\) | |||||||
\(258\) | 29.7954i | 1.85498i | ||||||||
\(259\) | −1.68797 | −0.104885 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 9.20175 | 0.569574 | ||||||||
\(262\) | 11.4765i | 0.709019i | ||||||||
\(263\) | −10.7397 | − | 10.7397i | −0.662236 | − | 0.662236i | 0.293670 | − | 0.955907i | \(-0.405123\pi\) |
−0.955907 | + | 0.293670i | \(0.905123\pi\) | |||||||
\(264\) | 26.0424 | 1.60280 | ||||||||
\(265\) | −8.88144 | + | 11.1122i | −0.545582 | + | 0.682615i | ||||
\(266\) | −2.47706 | + | 2.47706i | −0.151878 | + | 0.151878i | ||||
\(267\) | −14.3273 | −0.876814 | ||||||||
\(268\) | 18.6248i | 1.13769i | ||||||||
\(269\) | 24.3816i | 1.48657i | 0.668975 | + | 0.743285i | \(0.266733\pi\) | ||||
−0.668975 | + | 0.743285i | \(0.733267\pi\) | |||||||
\(270\) | −12.8142 | + | 16.0327i | −0.779847 | + | 0.975719i | ||||
\(271\) | 9.27487 | + | 9.27487i | 0.563408 | + | 0.563408i | 0.930274 | − | 0.366866i | \(-0.119569\pi\) |
−0.366866 | + | 0.930274i | \(0.619569\pi\) | |||||||
\(272\) | −1.66544 | − | 1.66544i | −0.100982 | − | 0.100982i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 8.56086i | 0.517181i | ||||||||
\(275\) | −23.0934 | − | 14.5807i | −1.39259 | − | 0.879249i | ||||
\(276\) | −1.00912 | −0.0607421 | ||||||||
\(277\) | 8.64616 | + | 8.64616i | 0.519498 | + | 0.519498i | 0.917419 | − | 0.397922i | \(-0.130268\pi\) |
−0.397922 | + | 0.917419i | \(0.630268\pi\) | |||||||
\(278\) | 3.32717 | 0.199550 | ||||||||
\(279\) | 0.221051 | + | 0.221051i | 0.0132340 | + | 0.0132340i | ||||
\(280\) | −6.81085 | + | 0.759900i | −0.407026 | + | 0.0454127i | ||||
\(281\) | −6.43529 | − | 6.43529i | −0.383897 | − | 0.383897i | 0.488607 | − | 0.872504i | \(-0.337505\pi\) |
−0.872504 | + | 0.488607i | \(0.837505\pi\) | |||||||
\(282\) | −10.1198 | + | 10.1198i | −0.602623 | + | 0.602623i | ||||
\(283\) | 19.3416 | − | 19.3416i | 1.14974 | − | 1.14974i | 0.163137 | − | 0.986603i | \(-0.447839\pi\) |
0.986603 | − | 0.163137i | \(-0.0521613\pi\) | |||||||
\(284\) | 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 | ||||
\(288\) | 6.10639 | 0.359823 | ||||||||
\(289\) | − | 6.62152i | − | 0.389501i | ||||||
\(290\) | 5.41992 | + | 48.5777i | 0.318268 | + | 2.85258i | ||||
\(291\) | 5.87346 | − | 5.87346i | 0.344308 | − | 0.344308i | ||||
\(292\) | − | 22.5242i | − | 1.31813i | ||||||
\(293\) | − | 26.1241i | − | 1.52618i | −0.646289 | − | 0.763092i | \(-0.723680\pi\) | ||
0.646289 | − | 0.763092i | \(-0.276320\pi\) | |||||||
\(294\) | 16.9770 | − | 16.9770i | 0.990118 | − | 0.990118i | ||||
\(295\) | −0.00401672 | − | 0.00321038i | −0.000233863 | − | 0.000186915i | ||||
\(296\) | − | 3.17146i | − | 0.184338i | ||||||
\(297\) | 22.2750 | 1.29253 | ||||||||
\(298\) | 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 | ||||
\(305\) | 0.345135 | + | 3.09338i | 0.0197624 | + | 0.177127i | ||||
\(306\) | −4.85803 | − | 4.85803i | −0.277715 | − | 0.277715i | ||||
\(307\) | 14.7038 | 0.839189 | 0.419595 | − | 0.907712i | \(-0.362172\pi\) | ||||
0.419595 | + | 0.907712i | \(0.362172\pi\) | |||||||
\(308\) | 15.1252 | + | 15.1252i | 0.861837 | + | 0.861837i | ||||
\(309\) | 3.02343 | 0.171997 | ||||||||
\(310\) | −1.03677 | + | 1.29717i | −0.0588845 | + | 0.0736744i | ||||
\(311\) | − | 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 | 0.281919 | − | 0.959438i | \(-0.409029\pi\) |
−0.959438 | + | 0.281919i | \(0.909029\pi\) | |||||||
\(314\) | 6.91516 | + | 6.91516i | 0.390245 | + | 0.390245i | ||||
\(315\) | 2.68919 | − | 0.300039i | 0.151519 | − | 0.0169053i | ||||
\(316\) | − | 34.2714i | − | 1.92792i | ||||||
\(317\) | − | 15.5627i | − | 0.874088i | −0.899440 | − | 0.437044i | \(-0.856025\pi\) | ||
0.899440 | − | 0.437044i | \(-0.143975\pi\) | |||||||
\(318\) | −28.4496 | −1.59537 | ||||||||
\(319\) | 37.5108 | − | 37.5108i | 2.10020 | − | 2.10020i | ||||
\(320\) | 3.23418 | + | 28.9874i | 0.180796 | + | 1.62044i | ||||
\(321\) | 28.8603 | 1.61083 | ||||||||
\(322\) | −0.336721 | − | 0.336721i | −0.0187647 | − | 0.0187647i | ||||
\(323\) | − | 3.92578i | − | 0.218436i | ||||||
\(324\) | −33.5580 | −1.86433 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −20.7187 | −1.14750 | ||||||||
\(327\) | − | 13.2736i | − | 0.734032i | ||||||
\(328\) | −0.849517 | − | 0.849517i | −0.0469067 | − | 0.0469067i | ||||
\(329\) | −4.08734 | −0.225342 | ||||||||
\(330\) | −6.05653 | − | 54.2835i | −0.333401 | − | 2.98821i | ||||
\(331\) | 12.0656 | − | 12.0656i | 0.663187 | − | 0.663187i | −0.292943 | − | 0.956130i | \(-0.594635\pi\) |
0.956130 | + | 0.292943i | \(0.0946346\pi\) | |||||||
\(332\) | −8.14177 | −0.446838 | ||||||||
\(333\) | 1.25222i | 0.0686212i | ||||||||
\(334\) | − | 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 | 0.867568 | + | 0.497319i | \(0.165682\pi\) |
0.497319 | + | 0.867568i | \(0.334318\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 22.6395i | 1.22961i | ||||||||
\(340\) | 13.7900 | − | 17.2536i | 0.747866 | − | 0.935706i | ||||
\(341\) | 1.80223 | 0.0975961 | ||||||||
\(342\) | 1.83761 | + | 1.83761i | 0.0993663 | + | 0.0993663i | ||||
\(343\) | 15.7972 | 0.852971 | ||||||||
\(344\) | −11.3054 | − | 11.3054i | −0.609546 | − | 0.609546i | ||||
\(345\) | 0.0816033 | + | 0.731396i | 0.00439337 | + | 0.0393770i | ||||
\(346\) | 21.8290 | + | 21.8290i | 1.17354 | + | 1.17354i | ||||
\(347\) | 9.12161 | − | 9.12161i | 0.489674 | − | 0.489674i | −0.418529 | − | 0.908203i | \(-0.637454\pi\) |
0.908203 | + | 0.418529i | \(0.137454\pi\) | |||||||
\(348\) | −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 | ||||
\(353\) | 23.3117 | 1.24076 | 0.620378 | − | 0.784303i | \(-0.286979\pi\) | ||||
0.620378 | + | 0.784303i | \(0.286979\pi\) | |||||||
\(354\) | − | 0.0102837i | − | 0.000546571i | ||||||
\(355\) | −21.2349 | − | 16.9720i | −1.12703 | − | 0.900782i | ||||
\(356\) | 15.6343 | − | 15.6343i | 0.828617 | − | 0.828617i | ||||
\(357\) | − | 8.17486i | − | 0.432660i | ||||||
\(358\) | 28.4559i | 1.50394i | ||||||||
\(359\) | 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 | ||||||
\(362\) | −18.3805 | −0.966059 | ||||||||
\(363\) | −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 | −0.377335 | − | 0.926077i | \(-0.623160\pi\) |
0.926077 | + | 0.377335i | \(0.123160\pi\) | |||||||
\(368\) | −0.0856360 | + | 0.0856360i | −0.00446408 | + | 0.00446408i | ||||
\(369\) | 0.335423 | + | 0.335423i | 0.0174614 | + | 0.0174614i | ||||
\(370\) | −6.61070 | + | 0.737570i | −0.343674 | + | 0.0383444i | ||||
\(371\) | −5.74534 | − | 5.74534i | −0.298283 | − | 0.298283i | ||||
\(372\) | −2.00997 | −0.104212 | ||||||||
\(373\) | 4.37075 | + | 4.37075i | 0.226309 | + | 0.226309i | 0.811149 | − | 0.584840i | \(-0.198843\pi\) |
−0.584840 | + | 0.811149i | \(0.698843\pi\) | |||||||
\(374\) | −39.6074 | −2.04805 | ||||||||
\(375\) | 9.70326 | − | 19.9820i | 0.501074 | − | 1.03187i | ||||
\(376\) | − | 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 | ||||||||
\(382\) | − | 33.2081i | − | 1.69907i | ||||||
\(383\) | 10.2434 | 0.523414 | 0.261707 | − | 0.965147i | \(-0.415715\pi\) | ||||
0.261707 | + | 0.965147i | \(0.415715\pi\) | |||||||
\(384\) | −23.1383 | + | 23.1383i | −1.18077 | + | 1.18077i | ||||
\(385\) | 9.73936 | − | 12.1856i | 0.496364 | − | 0.621034i | ||||
\(386\) | 33.9802 | 1.72955 | ||||||||
\(387\) | 4.46382 | + | 4.46382i | 0.226909 | + | 0.226909i | ||||
\(388\) | 12.8186i | 0.650765i | ||||||||
\(389\) | −3.41200 | −0.172995 | −0.0864977 | − | 0.996252i | \(-0.527568\pi\) | ||||
−0.0864977 | + | 0.996252i | \(0.527568\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.533655 | 0.0269881 | ||||||||
\(392\) | 12.8833i | 0.650704i | ||||||||
\(393\) | 7.16333 | + | 7.16333i | 0.361342 | + | 0.361342i | ||||
\(394\) | −34.5983 | −1.74304 | ||||||||
\(395\) | −24.8393 | + | 2.77138i | −1.24980 | + | 0.139443i | ||||
\(396\) | 11.2206 | − | 11.2206i | 0.563858 | − | 0.563858i | ||||
\(397\) | −11.9321 | −0.598853 | −0.299426 | − | 0.954119i | \(-0.596795\pi\) | ||||
−0.299426 | + | 0.954119i | \(0.596795\pi\) | |||||||
\(398\) | − | 25.7857i | − | 1.29252i | ||||||
\(399\) | 3.09223i | 0.154805i | ||||||||
\(400\) | 3.56561 | − | 0.805675i | 0.178281 | − | 0.0402838i | ||||
\(401\) | −2.88224 | − | 2.88224i | −0.143932 | − | 0.143932i | 0.631469 | − | 0.775401i | \(-0.282452\pi\) |
−0.775401 | + | 0.631469i | \(0.782452\pi\) | |||||||
\(402\) | 19.2081 | + | 19.2081i | 0.958011 | + | 0.958011i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | − | 26.4586i | − | 1.31636i | ||||||
\(405\) | 2.71368 | + | 24.3222i | 0.134844 | + | 1.20858i | ||||
\(406\) | −27.9185 | −1.38557 | ||||||||
\(407\) | 5.10466 | + | 5.10466i | 0.253029 | + | 0.253029i | ||||
\(408\) | 15.3595 | 0.760406 | ||||||||
\(409\) | −4.90669 | − | 4.90669i | −0.242620 | − | 0.242620i | 0.575313 | − | 0.817933i | \(-0.304880\pi\) |
−0.817933 | + | 0.575313i | \(0.804880\pi\) | |||||||
\(410\) | −1.57319 | + | 1.96833i | −0.0776945 | + | 0.0972088i | ||||
\(411\) | 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 | ||||
\(418\) | 14.9820 | 0.732791 | ||||||||
\(419\) | 21.2287i | 1.03709i | 0.855050 | + | 0.518546i | \(0.173526\pi\) | ||||
−0.855050 | + | 0.518546i | \(0.826474\pi\) | |||||||
\(420\) | −10.8620 | + | 13.5902i | −0.530012 | + | 0.663133i | ||||
\(421\) | −3.15727 | + | 3.15727i | −0.153876 | + | 0.153876i | −0.779847 | − | 0.625971i | \(-0.784703\pi\) |
0.625971 | + | 0.779847i | \(0.284703\pi\) | |||||||
\(422\) | 7.16636i | 0.348853i | ||||||||
\(423\) | 3.03219i | 0.147430i | ||||||||
\(424\) | 10.7947 | − | 10.7947i | 0.524238 | − | 0.524238i | ||||
\(425\) | −13.6202 | − | 8.59952i | −0.660678 | − | 0.417138i | ||||
\(426\) | − | 54.3659i | − | 2.63403i | ||||||
\(427\) | −1.77782 | −0.0860349 | ||||||||
\(428\) | −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 | \(-0.418411\pi\) |
0.967330 | − | 0.253522i | \(-0.0815889\pi\) | |||||||
\(432\) | −2.10819 | + | 2.10819i | −0.101430 | + | 0.101430i | ||||
\(433\) | −5.72268 | + | 5.72268i | −0.275014 | + | 0.275014i | −0.831115 | − | 0.556101i | \(-0.812297\pi\) |
0.556101 | + | 0.831115i | \(0.312297\pi\) | |||||||
\(434\) | −0.670679 | − | 0.670679i | −0.0321936 | − | 0.0321936i | ||||
\(435\) | 33.7040 | + | 26.9380i | 1.61598 | + | 1.29158i | ||||
\(436\) | 14.4845 | + | 14.4845i | 0.693684 | + | 0.693684i | ||||
\(437\) | −0.201861 | −0.00965633 | ||||||||
\(438\) | −23.2296 | − | 23.2296i | −1.10996 | − | 1.10996i | ||||
\(439\) | −28.6671 | −1.36821 | −0.684104 | − | 0.729384i | \(-0.739807\pi\) | ||||
−0.684104 | + | 0.729384i | \(0.739807\pi\) | |||||||
\(440\) | 22.8950 | + | 18.2989i | 1.09148 | + | 0.872368i | ||||
\(441\) | − | 5.08683i | − | 0.242230i | ||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −17.1586 | − | 17.1586i | −0.815229 | − | 0.815229i | 0.170184 | − | 0.985412i | \(-0.445564\pi\) |
−0.985412 | + | 0.170184i | \(0.945564\pi\) | |||||||
\(444\) | −5.69307 | − | 5.69307i | −0.270181 | − | 0.270181i | ||||
\(445\) | −12.5958 | − | 10.0672i | −0.597096 | − | 0.477231i | ||||
\(446\) | − | 26.7339i | − | 1.26589i | ||||||
\(447\) | − | 34.2054i | − | 1.61786i | ||||||
\(448\) | −16.6596 | −0.787090 | ||||||||
\(449\) | −6.48150 | + | 6.48150i | −0.305881 | + | 0.305881i | −0.843309 | − | 0.537428i | \(-0.819396\pi\) |
0.537428 | + | 0.843309i | \(0.319396\pi\) | |||||||
\(450\) | 10.4008 | − | 2.35012i | 0.490297 | − | 0.110786i | ||||
\(451\) | 2.73470 | 0.128772 | ||||||||
\(452\) | −24.7049 | − | 24.7049i | −1.16202 | − | 1.16202i | ||||
\(453\) | − | 28.2495i | − | 1.32728i | ||||||
\(454\) | −62.2722 | −2.92258 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −5.80989 | −0.272073 | ||||||||
\(457\) | 21.4798i | 1.00478i | 0.864640 | + | 0.502391i | \(0.167546\pi\) | ||||
−0.864640 | + | 0.502391i | \(0.832454\pi\) | |||||||
\(458\) | 29.0354 | + | 29.0354i | 1.35673 | + | 1.35673i | ||||
\(459\) | 13.1375 | 0.613208 | ||||||||
\(460\) | −0.887168 | − | 0.709072i | −0.0413644 | − | 0.0330607i | ||||
\(461\) | 3.59137 | − | 3.59137i | 0.167267 | − | 0.167267i | −0.618510 | − | 0.785777i | \(-0.712263\pi\) |
0.785777 | + | 0.618510i | \(0.212263\pi\) | |||||||
\(462\) | 31.1977 | 1.45145 | ||||||||
\(463\) | − | 20.0793i | − | 0.933163i | −0.884478 | − | 0.466581i | \(-0.845485\pi\) | ||
0.884478 | − | 0.466581i | \(-0.154515\pi\) | |||||||
\(464\) | 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 | \(-0.497659\pi\) |
−0.999973 | + | 0.00735447i | \(0.997659\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 7.75807i | 0.358234i | ||||||||
\(470\) | −16.0075 | + | 1.78599i | −0.738372 | + | 0.0823816i | ||||
\(471\) | 8.63254 | 0.397767 | ||||||||
\(472\) | 0.00390197 | + | 0.00390197i | 0.000179603 | + | 0.000179603i | ||||
\(473\) | 36.3934 | 1.67337 | ||||||||
\(474\) | −35.3447 | − | 35.3447i | −1.62344 | − | 1.62344i | ||||
\(475\) | 5.15200 | + | 3.25287i | 0.236390 | + | 0.149252i | ||||
\(476\) | 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 | ||||
\(483\) | −0.420346 | −0.0191264 | ||||||||
\(484\) | − | 57.7541i | − | 2.62518i | ||||||
\(485\) | 9.29068 | − | 1.03658i | 0.421868 | − | 0.0470687i | ||||
\(486\) | −15.1377 | + | 15.1377i | −0.686662 | + | 0.686662i | ||||
\(487\) | − | 19.4316i | − | 0.880529i | −0.897868 | − | 0.440264i | \(-0.854885\pi\) | ||
0.897868 | − | 0.440264i | \(-0.145115\pi\) | |||||||
\(488\) | − | 3.34029i | − | 0.151208i | ||||||
\(489\) | −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 | \(0.706504\pi\) | |||||||
\(492\) | −3.04992 | −0.137501 | ||||||||
\(493\) | 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 | \(0.846638\pi\) | |||||||
\(500\) | 11.2165 | + | 32.3934i | 0.501617 | + | 1.44868i | ||||
\(501\) | −17.7561 | − | 17.7561i | −0.793285 | − | 0.793285i | ||||
\(502\) | 5.32928 | 0.237857 | ||||||||
\(503\) | −17.0606 | − | 17.0606i | −0.760693 | − | 0.760693i | 0.215754 | − | 0.976448i | \(-0.430779\pi\) |
−0.976448 | + | 0.215754i | \(0.930779\pi\) | |||||||
\(504\) | −2.90384 | −0.129347 | ||||||||
\(505\) | −19.1767 | + | 2.13958i | −0.853352 | + | 0.0952102i | ||||
\(506\) | 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 | ||||||
\(512\) | 8.22064i | 0.363304i | ||||||||
\(513\) | −4.96943 | −0.219406 | ||||||||
\(514\) | 1.38472 | − | 1.38472i | 0.0610772 | − | 0.0610772i | ||||
\(515\) | 2.65804 | + | 2.12445i | 0.117127 | + | 0.0936144i | ||||
\(516\) | −40.5884 | −1.78681 | ||||||||
\(517\) | 12.3607 | + | 12.3607i | 0.543623 | + | 0.543623i | ||||
\(518\) | − | 3.79929i | − | 0.166931i | ||||||
\(519\) | 27.2503 | 1.19615 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 45.2323 | 1.98166 | 0.990832 | − | 0.135103i | \(-0.0431364\pi\) | ||||
0.990832 | + | 0.135103i | \(0.0431364\pi\) | |||||||
\(522\) | 20.7114i | 0.906511i | ||||||||
\(523\) | 0.807155 | + | 0.807155i | 0.0352944 | + | 0.0352944i | 0.724534 | − | 0.689239i | \(-0.242055\pi\) |
−0.689239 | + | 0.724534i | \(0.742055\pi\) | |||||||
\(524\) | −15.6337 | −0.682960 | ||||||||
\(525\) | 10.7283 | + | 6.77362i | 0.468221 | + | 0.295625i | ||||
\(526\) | 24.1729 | − | 24.1729i | 1.05399 | − | 1.05399i | ||||
\(527\) | 1.06293 | 0.0463020 | ||||||||
\(528\) | − | 7.93430i | − | 0.345296i | ||||||
\(529\) | 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 | ||||||
\(535\) | 25.3724 | + | 20.2790i | 1.09695 | + | 0.876738i | ||||
\(536\) | −14.5764 | −0.629603 | ||||||||
\(537\) | 17.7615 | + | 17.7615i | 0.766463 | + | 0.766463i | ||||
\(538\) | −54.8782 | −2.36597 | ||||||||
\(539\) | −20.7364 | − | 20.7364i | −0.893180 | − | 0.893180i | ||||
\(540\) | −21.8403 | − | 17.4560i | −0.939858 | − | 0.751185i | ||||
\(541\) | 22.3573 | + | 22.3573i | 0.961218 | + | 0.961218i | 0.999276 | − | 0.0380580i | \(-0.0121172\pi\) |
−0.0380580 | + | 0.999276i | \(0.512117\pi\) | |||||||
\(542\) | −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 | −0.809550 | − | 0.587050i | \(-0.800289\pi\) |
0.587050 | + | 0.809550i | \(0.300289\pi\) | |||||||
\(548\) | −11.6619 | −0.498173 | ||||||||
\(549\) | 1.31888i | 0.0562884i | ||||||||
\(550\) | 32.8183 | − | 51.9789i | 1.39938 | − | 2.21639i | ||||
\(551\) | −8.36844 | + | 8.36844i | −0.356507 | + | 0.356507i | ||||
\(552\) | − | 0.789774i | − | 0.0336150i | ||||||
\(553\) | − | 14.2756i | − | 0.607061i | ||||||
\(554\) | −19.4608 | + | 19.4608i | −0.826812 | + | 0.826812i | ||||
\(555\) | −3.66586 | + | 4.58661i | −0.155607 | + | 0.194691i | ||||
\(556\) | 4.53239i | 0.192216i | ||||||||
\(557\) | 6.58643 | 0.279076 | 0.139538 | − | 0.990217i | \(-0.455438\pi\) | ||||
0.139538 | + | 0.990217i | \(0.455438\pi\) | |||||||
\(558\) | −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 | \(-0.962289\pi\) |
0.118197 | + | 0.992990i | \(0.462289\pi\) | |||||||
\(564\) | −13.7855 | − | 13.7855i | −0.580475 | − | 0.580475i | ||||
\(565\) | −15.9079 | + | 19.9034i | −0.669250 | + | 0.837344i | ||||
\(566\) | 43.5343 | + | 43.5343i | 1.82988 | + | 1.82988i | ||||
\(567\) | −13.9784 | −0.587039 | ||||||||
\(568\) | 20.6282 | + | 20.6282i | 0.865542 | + | 0.865542i | ||||
\(569\) | 33.9087 | 1.42153 | 0.710763 | − | 0.703432i | \(-0.248350\pi\) | ||||
0.710763 | + | 0.703432i | \(0.248350\pi\) | |||||||
\(570\) | 1.35117 | + | 12.1103i | 0.0565945 | + | 0.507246i | ||||
\(571\) | − | 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 | ||||||||
\(577\) | − | 11.0413i | − | 0.459654i | −0.973232 | − | 0.229827i | \(-0.926184\pi\) | ||
0.973232 | − | 0.229827i | \(-0.0738160\pi\) | |||||||
\(578\) | 14.9038 | 0.619914 | ||||||||
\(579\) | 21.2096 | − | 21.2096i | 0.881442 | − | 0.881442i | ||||
\(580\) | −66.1743 | + | 7.38321i | −2.74774 | + | 0.306571i | ||||
\(581\) | −3.39142 | −0.140700 | ||||||||
\(582\) | 13.2200 | + | 13.2200i | 0.547988 | + | 0.547988i | ||||
\(583\) | 34.7495i | 1.43918i | ||||||||
\(584\) | 17.6282 | 0.729461 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 58.8002 | 2.42902 | ||||||||
\(587\) | − | 23.5058i | − | 0.970190i | −0.874461 | − | 0.485095i | \(-0.838785\pi\) | ||
0.874461 | − | 0.485095i | \(-0.161215\pi\) | |||||||
\(588\) | 23.1267 | + | 23.1267i | 0.953728 | + | 0.953728i | ||||
\(589\) | −0.402066 | −0.0165668 | ||||||||
\(590\) | 0.00722594 | − | 0.00904086i | 0.000297487 | − | 0.000372206i | ||||
\(591\) | −21.5954 | + | 21.5954i | −0.888317 | + | 0.888317i | ||||
\(592\) | −0.966247 | −0.0397125 | ||||||||
\(593\) | − | 30.6582i | − | 1.25898i | −0.777007 | − | 0.629491i | \(-0.783263\pi\) | ||
0.777007 | − | 0.629491i | \(-0.216737\pi\) | |||||||
\(594\) | 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 | \(-0.951076\pi\) | ||
0.988212 | − | 0.153094i | \(-0.0489237\pi\) | |||||||
\(600\) | −12.7267 | + | 20.1570i | −0.519566 | + | 0.822906i | ||||
\(601\) | −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 | ||||
\(603\) | 5.75533 | 0.234375 | ||||||||
\(604\) | 30.8267 | + | 30.8267i | 1.25432 | + | 1.25432i | ||||
\(605\) | −41.8591 | + | 4.67031i | −1.70182 | + | 0.189875i | ||||
\(606\) | −27.2872 | − | 27.2872i | −1.10847 | − | 1.10847i | ||||
\(607\) | 10.6631 | − | 10.6631i | 0.432801 | − | 0.432801i | −0.456779 | − | 0.889580i | \(-0.650997\pi\) |
0.889580 | + | 0.456779i | \(0.150997\pi\) | |||||||
\(608\) | −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 | ||||
\(613\) | 11.9161 | 0.481288 | 0.240644 | − | 0.970613i | \(-0.422641\pi\) | ||||
0.240644 | + | 0.970613i | \(0.422641\pi\) | |||||||
\(614\) | 33.0954i | 1.33562i | ||||||||
\(615\) | 0.246634 | + | 2.21053i | 0.00994522 | + | 0.0891372i | ||||
\(616\) | −11.8375 | + | 11.8375i | −0.476945 | + | 0.476945i | ||||
\(617\) | 38.8317i | 1.56330i | 0.623714 | + | 0.781652i | \(0.285623\pi\) | ||||
−0.623714 | + | 0.781652i | \(0.714377\pi\) | |||||||
\(618\) | 6.80516i | 0.273744i | ||||||||
\(619\) | −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 | ||||||
\(622\) | 71.6939 | 2.87466 | ||||||||
\(623\) | 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 | ||||
\(630\) | 0.675330 | + | 6.05286i | 0.0269058 | + | 0.241152i | ||||
\(631\) | −27.6170 | − | 27.6170i | −1.09942 | − | 1.09942i | −0.994479 | − | 0.104938i | \(-0.966535\pi\) |
−0.104938 | − | 0.994479i | \(-0.533465\pi\) | |||||||
\(632\) | 26.8219 | 1.06692 | ||||||||
\(633\) | 4.47307 | + | 4.47307i | 0.177788 | + | 0.177788i | ||||
\(634\) | 35.0286 | 1.39116 | ||||||||
\(635\) | −0.732269 | + | 0.916191i | −0.0290592 | + | 0.0363579i | ||||
\(636\) | − | 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 | \(-0.0551225\pi\) | |||||||
\(642\) | 64.9590i | 2.56373i | ||||||||
\(643\) | 14.7970 | 0.583538 | 0.291769 | − | 0.956489i | \(-0.405756\pi\) | ||||
0.291769 | + | 0.956489i | \(0.405756\pi\) | |||||||
\(644\) | 0.458694 | − | 0.458694i | 0.0180751 | − | 0.0180751i | ||||
\(645\) | 3.28220 | + | 29.4178i | 0.129237 | + | 1.15832i | ||||
\(646\) | 8.83617 | 0.347655 | ||||||||
\(647\) | −23.9537 | − | 23.9537i | −0.941716 | − | 0.941716i | 0.0566765 | − | 0.998393i | \(-0.481950\pi\) |
−0.998393 | + | 0.0566765i | \(0.981950\pi\) | |||||||
\(648\) | − | 26.2636i | − | 1.03173i | ||||||
\(649\) | −0.0125609 | −0.000493060 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.837243 | −0.0328141 | ||||||||
\(652\) | − | 28.2238i | − | 1.10533i | ||||||
\(653\) | −14.3176 | − | 14.3176i | −0.560289 | − | 0.560289i | 0.369100 | − | 0.929390i | \(-0.379666\pi\) |
−0.929390 | + | 0.369100i | \(0.879666\pi\) | |||||||
\(654\) | 29.8763 | 1.16826 | ||||||||
\(655\) | 1.26422 | + | 11.3310i | 0.0493973 | + | 0.442739i | ||||
\(656\) | −0.258822 | + | 0.258822i | −0.0101053 | + | 0.0101053i | ||||
\(657\) | −6.96032 | −0.271548 | ||||||||
\(658\) | − | 9.19981i | − | 0.358646i | ||||||
\(659\) | − | 30.2898i | − | 1.17992i | −0.807432 | − | 0.589961i | \(-0.799143\pi\) | ||
0.807432 | − | 0.589961i | \(-0.200857\pi\) | |||||||
\(660\) | 73.9470 | − | 8.25042i | 2.87838 | − | 0.321147i | ||||
\(661\) | 15.4711 | + | 15.4711i | 0.601754 | + | 0.601754i | 0.940778 | − | 0.339024i | \(-0.110097\pi\) |
−0.339024 | + | 0.940778i | \(0.610097\pi\) | |||||||
\(662\) | 27.1574 | + | 27.1574i | 1.05550 | + | 1.05550i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 6.37202i | − | 0.247282i | ||||||
\(665\) | −2.17279 | + | 2.71853i | −0.0842573 | + | 0.105420i | ||||
\(666\) | −2.81851 | −0.109215 | ||||||||
\(667\) | −1.13757 | − | 1.13757i | −0.0440470 | − | 0.0440470i | ||||
\(668\) | 38.7520 | 1.49936 | ||||||||
\(669\) | −16.6867 | − | 16.6867i | −0.645143 | − | 0.645143i | ||||
\(670\) | 3.38994 | + | 30.3834i | 0.130965 | + | 1.17381i | ||||
\(671\) | 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 | \(-0.746477\pi\) |
0.714889 | + | 0.699238i | \(0.246477\pi\) | |||||||
\(674\) | −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 | −0.892973 | − | 0.450111i | \(-0.851385\pi\) |
0.450111 | + | 0.892973i | \(0.351385\pi\) | |||||||
\(678\) | −50.9571 | −1.95700 | ||||||||
\(679\) | 5.33952i | 0.204912i | ||||||||
\(680\) | 13.5032 | + | 10.7925i | 0.517825 | + | 0.413873i | ||||
\(681\) | −38.8688 | + | 38.8688i | −1.48946 | + | 1.48946i | ||||
\(682\) | 4.05646i | 0.155330i | ||||||||
\(683\) | 20.1058i | 0.769326i | 0.923057 | + | 0.384663i | \(0.125682\pi\) | ||||
−0.923057 | + | 0.384663i | \(0.874318\pi\) | |||||||
\(684\) | −2.50325 | + | 2.50325i | −0.0957143 | + | 0.0957143i | ||||
\(685\) | 0.943047 | + | 8.45236i | 0.0360320 | + | 0.322948i | ||||
\(686\) | 35.5565i | 1.35755i | ||||||||
\(687\) | 36.2463 | 1.38288 | ||||||||
\(688\) | −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 | \(0.558400\pi\) |
−0.983216 | + | 0.182443i | \(0.941600\pi\) | |||||||
\(692\) | −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 | ||||
\(695\) | 3.28500 | − | 0.366514i | 0.124607 | − | 0.0139027i | ||||
\(696\) | −32.7412 | − | 32.7412i | −1.24105 | − | 1.24105i | ||||
\(697\) | 1.61289 | 0.0610926 | ||||||||
\(698\) | −42.7351 | − | 42.7351i | −1.61755 | − | 1.61755i | ||||
\(699\) | −45.9527 | −1.73809 | ||||||||
\(700\) | −19.0986 | + | 4.31546i | −0.721859 | + | 0.163109i | ||||
\(701\) | − | 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 | ||||||||
\(707\) | − | 11.0212i | − | 0.414495i | ||||||
\(708\) | 0.0140088 | 0.000526483 | ||||||||
\(709\) | −16.0704 | + | 16.0704i | −0.603536 | + | 0.603536i | −0.941249 | − | 0.337713i | \(-0.890347\pi\) |
0.337713 | + | 0.941249i | \(0.390347\pi\) | |||||||
\(710\) | 38.2008 | − | 47.7956i | 1.43365 | − | 1.79374i | ||||
\(711\) | −10.5904 | −0.397170 | ||||||||
\(712\) | 12.2359 | + | 12.2359i | 0.458561 | + | 0.458561i | ||||
\(713\) | − | 0.0546553i | − | 0.00204686i | ||||||
\(714\) | 18.4000 | 0.688604 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −38.7636 | −1.44866 | ||||||||
\(717\) | − | 7.35589i | − | 0.274711i | ||||||
\(718\) | 20.6449 | + | 20.6449i | 0.770460 | + | 0.770460i | ||||
\(719\) | −42.9573 | −1.60204 | −0.801018 | − | 0.598640i | \(-0.795708\pi\) | ||||
−0.801018 | + | 0.598640i | \(0.795708\pi\) | |||||||
\(720\) | 1.53938 | − | 0.171752i | 0.0573693 | − | 0.00640081i | ||||
\(721\) | −1.37429 | + | 1.37429i | −0.0511813 | + | 0.0511813i | ||||
\(722\) | 39.4229 | 1.46717 | ||||||||
\(723\) | 41.3467i | 1.53770i | ||||||||
\(724\) | − | 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 | \(-0.261922\pi\) |
−0.733089 | + | 0.680133i | \(0.761922\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 13.9369i | − | 0.516183i | ||||||
\(730\) | −4.09970 | − | 36.7448i | −0.151737 | − | 1.35999i | ||||
\(731\) | 21.4644 | 0.793889 | ||||||||
\(732\) | −5.99613 | − | 5.99613i | −0.221623 | − | 0.221623i | ||||
\(733\) | 32.1064 | 1.18588 | 0.592939 | − | 0.805247i | \(-0.297967\pi\) | ||||
0.592939 | + | 0.805247i | \(0.297967\pi\) | |||||||
\(734\) | 23.6613 | + | 23.6613i | 0.873355 | + | 0.873355i | ||||
\(735\) | 14.8917 | − | 18.6320i | 0.549287 | − | 0.687250i | ||||
\(736\) | −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 | ||||
\(743\) | 22.5040 | 0.825593 | 0.412797 | − | 0.910823i | \(-0.364552\pi\) | ||||
0.412797 | + | 0.910823i | \(0.364552\pi\) | |||||||
\(744\) | − | 1.57307i | − | 0.0576714i | ||||||
\(745\) | 24.0348 | − | 30.0716i | 0.880567 | − | 1.10174i | ||||
\(746\) | −9.83771 | + | 9.83771i | −0.360184 | + | 0.360184i | ||||
\(747\) | 2.51593i | 0.0920530i | ||||||||
\(748\) | − | 53.9547i | − | 1.97278i | ||||||
\(749\) | −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 | \(-0.00967192\pi\) | |||||||
\(752\) | −2.33972 | −0.0853209 | ||||||||
\(753\) | 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 | −0.00305681 | + | 0.999995i | \(0.500973\pi\) |
−0.999995 | + | 0.00305681i | \(0.999027\pi\) | |||||||
\(758\) | 29.0761 | − | 29.0761i | 1.05609 | − | 1.05609i | ||||
\(759\) | 1.27119 | + | 1.27119i | 0.0461412 | + | 0.0461412i | ||||
\(760\) | −5.10774 | − | 4.08238i | −0.185277 | − | 0.148084i | ||||
\(761\) | −11.5012 | − | 11.5012i | −0.416918 | − | 0.416918i | 0.467222 | − | 0.884140i | \(-0.345255\pi\) |
−0.884140 | + | 0.467222i | \(0.845255\pi\) | |||||||
\(762\) | −2.34565 | −0.0849739 | ||||||||
\(763\) | 6.03348 | + | 6.03348i | 0.218426 | + | 0.218426i | ||||
\(764\) | 45.2372 | 1.63663 | ||||||||
\(765\) | −5.33161 | − | 4.26131i | −0.192765 | − | 0.154068i | ||||
\(766\) | 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 | ||||||
\(772\) | 46.2891i | 1.66598i | ||||||||
\(773\) | 20.5887 | 0.740525 | 0.370262 | − | 0.928927i | \(-0.379268\pi\) | ||||
0.370262 | + | 0.928927i | \(0.379268\pi\) | |||||||
\(774\) | −10.0472 | + | 10.0472i | −0.361139 | + | 0.361139i | ||||
\(775\) | −0.880735 | + | 1.39494i | −0.0316369 | + | 0.0501077i | ||||
\(776\) | −10.0322 | −0.360137 | ||||||||
\(777\) | −2.37142 | − | 2.37142i | −0.0850744 | − | 0.0850744i | ||||
\(778\) | − | 7.67976i | − | 0.275333i | ||||||
\(779\) | −0.610095 | −0.0218589 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −66.4048 | −2.37615 | ||||||||
\(782\) | 1.20115i | 0.0429532i | ||||||||
\(783\) | −28.0048 | − | 28.0048i | −1.00081 | − | 1.00081i | ||||
\(784\) | 3.92514 | 0.140183 | ||||||||
\(785\) | 7.58927 | + | 6.06575i | 0.270873 | + | 0.216496i | ||||
\(786\) | −16.1233 | + | 16.1233i | −0.575098 | + | 0.575098i | ||||
\(787\) | 28.6489 | 1.02122 | 0.510611 | − | 0.859812i | \(-0.329419\pi\) | ||||
0.510611 | + | 0.859812i | \(0.329419\pi\) | |||||||
\(788\) | − | 47.1311i | − | 1.67898i | ||||||
\(789\) | − | 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 | ||||||
\(795\) | −28.0890 | + | 3.13395i | −0.996214 | + | 0.111150i | ||||
\(796\) | 35.1262 | 1.24502 | ||||||||
\(797\) | −6.21167 | − | 6.21167i | −0.220029 | − | 0.220029i | 0.588482 | − | 0.808510i | \(-0.299726\pi\) |
−0.808510 | + | 0.588482i | \(0.799726\pi\) | |||||||
\(798\) | −6.96002 | −0.246382 | ||||||||
\(799\) | 7.29019 | + | 7.29019i | 0.257909 | + | 0.257909i | ||||
\(800\) | 7.10227 | + | 31.4320i | 0.251103 | + | 1.11129i | ||||
\(801\) | −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 | ||||
\(808\) | 20.7073 | 0.728482 | ||||||||
\(809\) | 0.947514i | 0.0333128i | 0.999861 | + | 0.0166564i | \(0.00530214\pi\) | ||||
−0.999861 | + | 0.0166564i | \(0.994698\pi\) | |||||||
\(810\) | −54.7446 | + | 6.10797i | −1.92353 | + | 0.214612i | ||||
\(811\) | 28.8041 | − | 28.8041i | 1.01145 | − | 1.01145i | 0.0115151 | − | 0.999934i | \(-0.496335\pi\) |
0.999934 | − | 0.0115151i | \(-0.00366545\pi\) | |||||||
\(812\) | − | 38.0316i | − | 1.33465i | ||||||
\(813\) | 26.0605i | 0.913981i | ||||||||
\(814\) | −11.4896 | + | 11.4896i | −0.402711 | + | 0.402711i | ||||
\(815\) | −20.4561 | + | 2.28233i | −0.716546 | + | 0.0799465i | ||||
\(816\) | − | 4.67955i | − | 0.163817i | ||||||
\(817\) | −8.11915 | −0.284053 | ||||||||
\(818\) | 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 | −0.690309 | − | 0.723514i | \(-0.742526\pi\) |
0.723514 | + | 0.690309i | \(0.242526\pi\) | |||||||
\(822\) | −12.0271 | + | 12.0271i | −0.419495 | + | 0.419495i | ||||
\(823\) | 23.3838 | − | 23.3838i | 0.815109 | − | 0.815109i | −0.170286 | − | 0.985395i | \(-0.554469\pi\) |
0.985395 | + | 0.170286i | \(0.0544692\pi\) | |||||||
\(824\) | −2.58211 | − | 2.58211i | −0.0899520 | − | 0.0899520i | ||||
\(825\) | −11.9595 | − | 52.9283i | −0.416377 | − | 1.84273i | ||||
\(826\) | 0.00467441 | + | 0.00467441i | 0.000162644 | + | 0.000162644i | ||||
\(827\) | −26.4195 | −0.918697 | −0.459349 | − | 0.888256i | \(-0.651917\pi\) | ||||
−0.459349 | + | 0.888256i | \(0.651917\pi\) | |||||||
\(828\) | −0.340282 | − | 0.340282i | −0.0118256 | − | 0.0118256i | ||||
\(829\) | −2.46068 | −0.0854629 | −0.0427314 | − | 0.999087i | \(-0.513606\pi\) | ||||
−0.0427314 | + | 0.999087i | \(0.513606\pi\) | |||||||
\(830\) | −13.2820 | + | 1.48191i | −0.461027 | + | 0.0514377i | ||||
\(831\) | 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 | ||||||||
\(837\) | − | 1.34551i | − | 0.0465075i | ||||||
\(838\) | −47.7818 | −1.65059 | ||||||||
\(839\) | −35.6002 | + | 35.6002i | −1.22906 | + | 1.22906i | −0.264736 | + | 0.964321i | \(0.585285\pi\) |
−0.964321 | + | 0.264736i | \(0.914715\pi\) | |||||||
\(840\) | −10.6361 | − | 8.50096i | −0.366981 | − | 0.293311i | ||||
\(841\) | −65.3193 | −2.25239 | ||||||||
\(842\) | −7.10641 | − | 7.10641i | −0.244903 | − | 0.244903i | ||||
\(843\) | − | 18.0819i | − | 0.622773i | ||||||
\(844\) | −9.76228 | −0.336032 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −6.82488 | −0.234644 | ||||||||
\(847\) | − | 24.0572i | − | 0.826616i | ||||||
\(848\) | −3.28882 | − | 3.28882i | −0.112939 | − | 0.112939i | ||||
\(849\) | 54.3461 | 1.86515 | ||||||||
\(850\) | 19.3559 | − | 30.6565i | 0.663900 | − | 1.05151i | ||||
\(851\) | 0.154807 | − | 0.154807i | 0.00530670 | − | 0.00530670i | ||||
\(852\) | 74.0592 | 2.53723 | ||||||||
\(853\) | 42.9612i | 1.47096i | 0.677545 | + | 0.735481i | \(0.263044\pi\) | ||||
−0.677545 | + | 0.735481i | \(0.736956\pi\) | |||||||
\(854\) | − | 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 | \(-0.00212044\pi\) |
−0.00666151 | + | 0.999978i | \(0.502120\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 42.1283i | 1.43740i | 0.695321 | + | 0.718700i | \(0.255262\pi\) | ||||
−0.695321 | + | 0.718700i | \(0.744738\pi\) | |||||||
\(860\) | −35.6832 | − | 28.5199i | −1.21679 | − | 0.972521i | ||||
\(861\) | −1.27043 | −0.0432962 | ||||||||
\(862\) | 57.0479 | + | 57.0479i | 1.94306 | + | 1.94306i | ||||
\(863\) | 6.80768 | 0.231736 | 0.115868 | − | 0.993265i | \(-0.463035\pi\) | ||||
0.115868 | + | 0.993265i | \(0.463035\pi\) | |||||||
\(864\) | −18.5843 | − | 18.5843i | −0.632252 | − | 0.632252i | ||||
\(865\) | 23.9570 | + | 19.1477i | 0.814562 | + | 0.651041i | ||||
\(866\) | −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 | ||||
\(873\) | 3.96113 | 0.134064 | ||||||||
\(874\) | − | 0.454351i | − | 0.0153686i | ||||||
\(875\) | 4.67219 | + | 13.4934i | 0.157949 | + | 0.456159i | ||||
\(876\) | 31.6443 | − | 31.6443i | 1.06916 | − | 1.06916i | ||||
\(877\) | − | 47.6814i | − | 1.61009i | −0.593217 | − | 0.805043i | \(-0.702142\pi\) | ||
0.593217 | − | 0.805043i | \(-0.297858\pi\) | |||||||
\(878\) | − | 64.5242i | − | 2.17759i | ||||||
\(879\) | 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 | \(-0.0275086\pi\) | |||||||
\(882\) | 11.4495 | 0.385524 | ||||||||
\(883\) | −14.8283 | + | 14.8283i | −0.499014 | + | 0.499014i | −0.911131 | − | 0.412117i | \(-0.864789\pi\) |
0.412117 | + | 0.911131i | \(0.364789\pi\) | |||||||
\(884\) | 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 | −0.820996 | − | 0.570934i | \(-0.806581\pi\) |
0.570934 | + | 0.820996i | \(0.306581\pi\) | |||||||
\(888\) | 4.45558 | − | 4.45558i | 0.149520 | − | 0.149520i | ||||
\(889\) | −0.473700 | − | 0.473700i | −0.0158874 | − | 0.0158874i | ||||
\(890\) | 22.6593 | − | 28.3506i | 0.759543 | − | 0.950315i | ||||
\(891\) | 42.2728 | + | 42.2728i | 1.41619 | + | 1.41619i | ||||
\(892\) | 36.4179 | 1.21936 | ||||||||
\(893\) | −2.75760 | − | 2.75760i | −0.0922795 | − | 0.0922795i | ||||
\(894\) | 76.9898 | 2.57492 | ||||||||
\(895\) | 3.13464 | + | 28.0952i | 0.104779 | + | 0.939119i | ||||
\(896\) | − | 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 | ||||||||
\(902\) | 6.15528i | 0.204948i | ||||||||
\(903\) | −16.9069 | −0.562628 | ||||||||
\(904\) | 19.3348 | − | 19.3348i | 0.643067 | − | 0.643067i | ||||
\(905\) | −18.1476 | + | 2.02476i | −0.603245 | + | 0.0673053i | ||||
\(906\) | 63.5842 | 2.11244 | ||||||||
\(907\) | −15.2289 | − | 15.2289i | −0.505668 | − | 0.505668i | 0.407526 | − | 0.913194i | \(-0.366392\pi\) |
−0.913194 | + | 0.407526i | \(0.866392\pi\) | |||||||
\(908\) | − | 84.8295i | − | 2.81517i | ||||||
\(909\) | −8.17608 | −0.271184 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −16.6400 | −0.551309 | −0.275654 | − | 0.961257i | \(-0.588895\pi\) | ||||
−0.275654 | + | 0.961257i | \(0.588895\pi\) | |||||||
\(912\) | 1.77009i | 0.0586137i | ||||||||
\(913\) | 10.2562 | + | 10.2562i | 0.339429 | + | 0.339429i | ||||
\(914\) | −48.3469 | −1.59917 | ||||||||
\(915\) | −3.86101 | + | 4.83077i | −0.127641 | + | 0.159700i | ||||
\(916\) | −39.5530 | + | 39.5530i | −1.30687 | + | 1.30687i | ||||
\(917\) | −6.51214 | −0.215050 | ||||||||
\(918\) | 29.5701i | 0.975958i | ||||||||
\(919\) | 6.87460i | 0.226772i | 0.993551 | + | 0.113386i | \(0.0361697\pi\) | ||||
−0.993551 | + | 0.113386i | \(0.963830\pi\) | |||||||
\(920\) | 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 | ||||||||
\(925\) | −6.44566 | + | 1.45644i | −0.211932 | + | 0.0478875i | ||||
\(926\) | 45.1946 | 1.48519 | ||||||||
\(927\) | 1.01952 | + | 1.01952i | 0.0334854 | + | 0.0334854i | ||||
\(928\) | −62.5915 | −2.05467 | ||||||||
\(929\) | 31.4342 | + | 31.4342i | 1.03132 | + | 1.03132i | 0.999493 | + | 0.0318293i | \(0.0101333\pi\) |
0.0318293 | + | 0.999493i | \(0.489867\pi\) | |||||||
\(930\) | −3.27895 | + | 0.365839i | −0.107521 | + | 0.0119963i | ||||
\(931\) | 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 | −0.458415 | − | 0.888738i | \(-0.651583\pi\) |
0.888738 | + | 0.458415i | \(0.151583\pi\) | |||||||
\(938\) | −17.4619 | −0.570152 | ||||||||
\(939\) | − | 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 | \(-0.376045\pi\) |
0.925130 | − | 0.379650i | \(-0.123955\pi\) | |||||||
\(942\) | 19.4302i | 0.633070i | ||||||||
\(943\) | − | 0.0829339i | − | 0.00270070i | ||||||
\(944\) | 0.00118881 | − | 0.00118881i | 3.86925e−5 | − | 3.86925e-5i | ||||
\(945\) | −9.09750 | − | 7.27121i | −0.295942 | − | 0.236532i | ||||
\(946\) | 81.9146i | 2.66327i | ||||||||
\(947\) | −58.8943 | −1.91381 | −0.956904 | − | 0.290404i | \(-0.906210\pi\) | ||||
−0.956904 | + | 0.290404i | \(0.906210\pi\) | |||||||
\(948\) | 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 | \(-0.656620\pi\) |
0.881373 | + | 0.472421i | \(0.156620\pi\) | |||||||
\(954\) | −9.59336 | − | 9.59336i | −0.310596 | − | 0.310596i | ||||
\(955\) | −3.65813 | − | 32.7872i | −0.118374 | − | 1.06097i | ||||
\(956\) | 8.02696 | + | 8.02696i | 0.259610 | + | 0.259610i | ||||
\(957\) | 105.398 | 3.40703 | ||||||||
\(958\) | 49.5130 | + | 49.5130i | 1.59969 | + | 1.59969i | ||||
\(959\) | −4.85772 | −0.156864 | ||||||||
\(960\) | −36.1806 | + | 45.2680i | −1.16772 | + | 1.46102i | ||||
\(961\) | 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 | ||||||
\(967\) | 23.2093i | 0.746360i | 0.927759 | + | 0.373180i | \(0.121733\pi\) | ||||
−0.927759 | + | 0.373180i | \(0.878267\pi\) | |||||||
\(968\) | 45.2002 | 1.45279 | ||||||||
\(969\) | 5.51532 | − | 5.51532i | 0.177178 | − | 0.177178i | ||||
\(970\) | 2.33314 | + | 20.9115i | 0.0749127 | + | 0.671429i | ||||
\(971\) | 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 | ||||
\(973\) | 1.88795i | 0.0605249i | ||||||||
\(974\) | 43.7367 | 1.40141 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.01768 | −0.0325752 | ||||||||
\(977\) | 24.4098i | 0.780938i | 0.920616 | + | 0.390469i | \(0.127687\pi\) | ||||
−0.920616 | + | 0.390469i | \(0.872313\pi\) | |||||||
\(978\) | −29.1077 | − | 29.1077i | −0.930761 | − | 0.930761i | ||||
\(979\) | −39.3890 | −1.25888 | ||||||||
\(980\) | 4.08152 | + | 36.5819i | 0.130379 | + | 1.16857i | ||||
\(981\) | 4.47594 | − | 4.47594i | 0.142906 | − | 0.142906i | ||||
\(982\) | −79.4840 | −2.53644 | ||||||||
\(983\) | − | 4.47004i | − | 0.142572i | −0.997456 | − | 0.0712860i | \(-0.977290\pi\) | ||
0.997456 | − | 0.0712860i | \(-0.0227103\pi\) | |||||||
\(984\) | − | 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 | ||||||
\(990\) | 16.2624 | − | 20.3470i | 0.516854 | − | 0.646671i | ||||
\(991\) | −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 | ||||
\(993\) | 33.9020 | 1.07585 | ||||||||
\(994\) | 24.7118 | + | 24.7118i | 0.783812 | + | 0.783812i | ||||
\(995\) | −2.84050 | − | 25.4589i | −0.0900499 | − | 0.807101i | ||||
\(996\) | −11.4384 | − | 11.4384i | −0.362439 | − | 0.362439i | ||||
\(997\) | −24.7788 | + | 24.7788i | −0.784753 | + | 0.784753i | −0.980629 | − | 0.195876i | \(-0.937245\pi\) |
0.195876 | + | 0.980629i | \(0.437245\pi\) | |||||||
\(998\) | 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 \(a_p\))