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 | 437.5 | ||
Root | \(0.274809i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.437 |
Dual form | 845.2.f.e.408.6 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.274809i | 0.194319i | 0.995269 | + | 0.0971595i | \(0.0309757\pi\) | ||||
−0.995269 | + | 0.0971595i | \(0.969024\pi\) | |||||||
\(3\) | 1.67095 | − | 1.67095i | 0.964723 | − | 0.964723i | −0.0346758 | − | 0.999399i | \(-0.511040\pi\) |
0.999399 | + | 0.0346758i | \(0.0110399\pi\) | |||||||
\(4\) | 1.92448 | 0.962240 | ||||||||
\(5\) | 1.45395 | + | 1.69883i | 0.650226 | + | 0.759741i | ||||
\(6\) | 0.459191 | + | 0.459191i | 0.187464 | + | 0.187464i | ||||
\(7\) | 0.386104 | 0.145933 | 0.0729667 | − | 0.997334i | \(-0.476753\pi\) | ||||
0.0729667 | + | 0.997334i | \(0.476753\pi\) | |||||||
\(8\) | 1.07848i | 0.381301i | ||||||||
\(9\) | − | 2.58414i | − | 0.861380i | ||||||
\(10\) | −0.466854 | + | 0.399558i | −0.147632 | + | 0.126351i | ||||
\(11\) | −3.08375 | + | 3.08375i | −0.929787 | + | 0.929787i | −0.997692 | − | 0.0679048i | \(-0.978369\pi\) |
0.0679048 | + | 0.997692i | \(0.478369\pi\) | |||||||
\(12\) | 3.21571 | − | 3.21571i | 0.928295 | − | 0.928295i | ||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 0.106105i | 0.0283576i | ||||||||
\(15\) | 5.26814 | + | 0.409188i | 1.36023 | + | 0.105652i | ||||
\(16\) | 3.55258 | 0.888146 | ||||||||
\(17\) | −1.39475 | + | 1.39475i | −0.338277 | + | 0.338277i | −0.855719 | − | 0.517442i | \(-0.826884\pi\) |
0.517442 | + | 0.855719i | \(0.326884\pi\) | |||||||
\(18\) | 0.710144 | 0.167383 | ||||||||
\(19\) | 3.54274 | − | 3.54274i | 0.812760 | − | 0.812760i | −0.172287 | − | 0.985047i | \(-0.555116\pi\) |
0.985047 | + | 0.172287i | \(0.0551157\pi\) | |||||||
\(20\) | 2.79810 | + | 3.26937i | 0.625673 | + | 0.731053i | ||||
\(21\) | 0.645159 | − | 0.645159i | 0.140785 | − | 0.140785i | ||||
\(22\) | −0.847442 | − | 0.847442i | −0.180675 | − | 0.180675i | ||||
\(23\) | −0.235896 | − | 0.235896i | −0.0491878 | − | 0.0491878i | 0.682085 | − | 0.731273i | \(-0.261073\pi\) |
−0.731273 | + | 0.682085i | \(0.761073\pi\) | |||||||
\(24\) | 1.80209 | + | 1.80209i | 0.367849 | + | 0.367849i | ||||
\(25\) | −0.772064 | + | 4.94003i | −0.154413 | + | 0.988006i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.694880 | + | 0.694880i | 0.133730 | + | 0.133730i | ||||
\(28\) | 0.743049 | 0.140423 | ||||||||
\(29\) | − | 8.16410i | − | 1.51603i | −0.652235 | − | 0.758017i | \(-0.726168\pi\) | ||
0.652235 | − | 0.758017i | \(-0.273832\pi\) | |||||||
\(30\) | −0.112448 | + | 1.44773i | −0.0205302 | + | 0.264318i | ||||
\(31\) | −2.54187 | − | 2.54187i | −0.456534 | − | 0.456534i | 0.440982 | − | 0.897516i | \(-0.354630\pi\) |
−0.897516 | + | 0.440982i | \(0.854630\pi\) | |||||||
\(32\) | 3.13324i | 0.553884i | ||||||||
\(33\) | 10.3056i | 1.79397i | ||||||||
\(34\) | −0.383290 | − | 0.383290i | −0.0657336 | − | 0.0657336i | ||||
\(35\) | 0.561375 | + | 0.655925i | 0.0948897 | + | 0.110872i | ||||
\(36\) | − | 4.97313i | − | 0.828855i | ||||||
\(37\) | 4.82502 | 0.793229 | 0.396614 | − | 0.917985i | \(-0.370185\pi\) | ||||
0.396614 | + | 0.917985i | \(0.370185\pi\) | |||||||
\(38\) | 0.973575 | + | 0.973575i | 0.157935 | + | 0.157935i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.83216 | + | 1.56806i | −0.289690 | + | 0.247931i | ||||
\(41\) | −3.29253 | − | 3.29253i | −0.514207 | − | 0.514207i | 0.401606 | − | 0.915813i | \(-0.368452\pi\) |
−0.915813 | + | 0.401606i | \(0.868452\pi\) | |||||||
\(42\) | 0.177295 | + | 0.177295i | 0.0273573 | + | 0.0273573i | ||||
\(43\) | −4.82129 | − | 4.82129i | −0.735240 | − | 0.735240i | 0.236413 | − | 0.971653i | \(-0.424028\pi\) |
−0.971653 | + | 0.236413i | \(0.924028\pi\) | |||||||
\(44\) | −5.93462 | + | 5.93462i | −0.894678 | + | 0.894678i | ||||
\(45\) | 4.39002 | − | 3.75721i | 0.654426 | − | 0.560092i | ||||
\(46\) | 0.0648264 | − | 0.0648264i | 0.00955813 | − | 0.00955813i | ||||
\(47\) | −9.83310 | −1.43430 | −0.717152 | − | 0.696917i | \(-0.754555\pi\) | ||||
−0.717152 | + | 0.696917i | \(0.754555\pi\) | |||||||
\(48\) | 5.93619 | − | 5.93619i | 0.856815 | − | 0.856815i | ||||
\(49\) | −6.85092 | −0.978703 | ||||||||
\(50\) | −1.35756 | − | 0.212170i | −0.191988 | − | 0.0300054i | ||||
\(51\) | 4.66112i | 0.652687i | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −7.17155 | + | 7.17155i | −0.985088 | + | 0.985088i | −0.999890 | − | 0.0148021i | \(-0.995288\pi\) |
0.0148021 | + | 0.999890i | \(0.495288\pi\) | |||||||
\(54\) | −0.190959 | + | 0.190959i | −0.0259862 | + | 0.0259862i | ||||
\(55\) | −9.72240 | − | 0.755161i | −1.31097 | − | 0.101826i | ||||
\(56\) | 0.416405i | 0.0556445i | ||||||||
\(57\) | − | 11.8395i | − | 1.56818i | ||||||
\(58\) | 2.24356 | 0.294594 | ||||||||
\(59\) | −1.71630 | − | 1.71630i | −0.223443 | − | 0.223443i | 0.586504 | − | 0.809947i | \(-0.300504\pi\) |
−0.809947 | + | 0.586504i | \(0.800504\pi\) | |||||||
\(60\) | 10.1384 | + | 0.787474i | 1.30887 | + | 0.101662i | ||||
\(61\) | 10.6468 | 1.36318 | 0.681589 | − | 0.731735i | \(-0.261289\pi\) | ||||
0.681589 | + | 0.731735i | \(0.261289\pi\) | |||||||
\(62\) | 0.698529 | − | 0.698529i | 0.0887133 | − | 0.0887133i | ||||
\(63\) | − | 0.997746i | − | 0.125704i | ||||||
\(64\) | 6.24413 | 0.780516 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −2.83207 | −0.348603 | ||||||||
\(67\) | − | 6.37591i | − | 0.778942i | −0.921039 | − | 0.389471i | \(-0.872658\pi\) | ||
0.921039 | − | 0.389471i | \(-0.127342\pi\) | |||||||
\(68\) | −2.68417 | + | 2.68417i | −0.325504 | + | 0.325504i | ||||
\(69\) | −0.788342 | −0.0949052 | ||||||||
\(70\) | −0.180254 | + | 0.154271i | −0.0215445 | + | 0.0184389i | ||||
\(71\) | −3.07858 | − | 3.07858i | −0.365360 | − | 0.365360i | 0.500422 | − | 0.865782i | \(-0.333178\pi\) |
−0.865782 | + | 0.500422i | \(0.833178\pi\) | |||||||
\(72\) | 2.78695 | 0.328445 | ||||||||
\(73\) | − | 6.08593i | − | 0.712304i | −0.934428 | − | 0.356152i | \(-0.884088\pi\) | ||
0.934428 | − | 0.356152i | \(-0.115912\pi\) | |||||||
\(74\) | 1.32596i | 0.154139i | ||||||||
\(75\) | 6.96446 | + | 9.54462i | 0.804187 | + | 1.10212i | ||||
\(76\) | 6.81793 | − | 6.81793i | 0.782070 | − | 0.782070i | ||||
\(77\) | −1.19065 | + | 1.19065i | −0.135687 | + | 0.135687i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 3.34944i | − | 0.376842i | −0.982088 | − | 0.188421i | \(-0.939663\pi\) | ||
0.982088 | − | 0.188421i | \(-0.0603369\pi\) | |||||||
\(80\) | 5.16528 | + | 6.03525i | 0.577496 | + | 0.674761i | ||||
\(81\) | 10.0746 | 1.11940 | ||||||||
\(82\) | 0.904815 | − | 0.904815i | 0.0999202 | − | 0.0999202i | ||||
\(83\) | 5.18834 | 0.569494 | 0.284747 | − | 0.958603i | \(-0.408090\pi\) | ||||
0.284747 | + | 0.958603i | \(0.408090\pi\) | |||||||
\(84\) | 1.24160 | − | 1.24160i | 0.135469 | − | 0.135469i | ||||
\(85\) | −4.39735 | − | 0.341552i | −0.476959 | − | 0.0370465i | ||||
\(86\) | 1.32493 | − | 1.32493i | 0.142871 | − | 0.142871i | ||||
\(87\) | −13.6418 | − | 13.6418i | −1.46255 | − | 1.46255i | ||||
\(88\) | −3.32577 | − | 3.32577i | −0.354528 | − | 0.354528i | ||||
\(89\) | −3.53455 | − | 3.53455i | −0.374662 | − | 0.374662i | 0.494510 | − | 0.869172i | \(-0.335348\pi\) |
−0.869172 | + | 0.494510i | \(0.835348\pi\) | |||||||
\(90\) | 1.03251 | + | 1.20642i | 0.108836 | + | 0.127167i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −0.453978 | − | 0.453978i | −0.0473305 | − | 0.0473305i | ||||
\(93\) | −8.49469 | −0.880858 | ||||||||
\(94\) | − | 2.70222i | − | 0.278713i | ||||||
\(95\) | 11.1695 | + | 0.867558i | 1.14596 | + | 0.0890096i | ||||
\(96\) | 5.23549 | + | 5.23549i | 0.534345 | + | 0.534345i | ||||
\(97\) | 14.7480i | 1.49744i | 0.662889 | + | 0.748718i | \(0.269330\pi\) | ||||
−0.662889 | + | 0.748718i | \(0.730670\pi\) | |||||||
\(98\) | − | 1.88269i | − | 0.190181i | ||||||
\(99\) | 7.96886 | + | 7.96886i | 0.800900 | + | 0.800900i | ||||
\(100\) | −1.48582 | + | 9.50699i | −0.148582 | + | 0.950699i | ||||
\(101\) | − | 5.27950i | − | 0.525329i | −0.964887 | − | 0.262665i | \(-0.915399\pi\) | ||
0.964887 | − | 0.262665i | \(-0.0846013\pi\) | |||||||
\(102\) | −1.28092 | −0.126829 | ||||||||
\(103\) | −1.21001 | − | 1.21001i | −0.119226 | − | 0.119226i | 0.644976 | − | 0.764203i | \(-0.276867\pi\) |
−0.764203 | + | 0.644976i | \(0.776867\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.03405 | + | 0.157989i | 0.198503 | + | 0.0154181i | ||||
\(106\) | −1.97080 | − | 1.97080i | −0.191421 | − | 0.191421i | ||||
\(107\) | 2.86583 | + | 2.86583i | 0.277050 | + | 0.277050i | 0.831930 | − | 0.554880i | \(-0.187236\pi\) |
−0.554880 | + | 0.831930i | \(0.687236\pi\) | |||||||
\(108\) | 1.33728 | + | 1.33728i | 0.128680 | + | 0.128680i | ||||
\(109\) | −5.02898 | + | 5.02898i | −0.481689 | + | 0.481689i | −0.905671 | − | 0.423982i | \(-0.860632\pi\) |
0.423982 | + | 0.905671i | \(0.360632\pi\) | |||||||
\(110\) | 0.207525 | − | 2.67180i | 0.0197867 | − | 0.254746i | ||||
\(111\) | 8.06237 | − | 8.06237i | 0.765246 | − | 0.765246i | ||||
\(112\) | 1.37167 | 0.129610 | ||||||||
\(113\) | −2.81027 | + | 2.81027i | −0.264368 | + | 0.264368i | −0.826826 | − | 0.562458i | \(-0.809856\pi\) |
0.562458 | + | 0.826826i | \(0.309856\pi\) | |||||||
\(114\) | 3.25359 | 0.304726 | ||||||||
\(115\) | 0.0577672 | − | 0.743730i | 0.00538682 | − | 0.0693532i | ||||
\(116\) | − | 15.7116i | − | 1.45879i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.471653 | − | 0.471653i | 0.0434192 | − | 0.0434192i | ||||
\(119\) | −0.538519 | + | 0.538519i | −0.0493659 | + | 0.0493659i | ||||
\(120\) | −0.441301 | + | 5.68159i | −0.0402851 | + | 0.518655i | ||||
\(121\) | − | 8.01908i | − | 0.729008i | ||||||
\(122\) | 2.92582i | 0.264892i | ||||||||
\(123\) | −11.0033 | −0.992134 | ||||||||
\(124\) | −4.89179 | − | 4.89179i | −0.439296 | − | 0.439296i | ||||
\(125\) | −9.51483 | + | 5.87095i | −0.851032 | + | 0.525113i | ||||
\(126\) | 0.274189 | 0.0244267 | ||||||||
\(127\) | −8.06380 | + | 8.06380i | −0.715547 | + | 0.715547i | −0.967690 | − | 0.252143i | \(-0.918865\pi\) |
0.252143 | + | 0.967690i | \(0.418865\pi\) | |||||||
\(128\) | 7.98243i | 0.705553i | ||||||||
\(129\) | −16.1123 | −1.41860 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 20.8627 | 1.82279 | 0.911393 | − | 0.411536i | \(-0.135008\pi\) | ||||
0.911393 | + | 0.411536i | \(0.135008\pi\) | |||||||
\(132\) | 19.8329i | 1.72623i | ||||||||
\(133\) | 1.36786 | − | 1.36786i | 0.118609 | − | 0.118609i | ||||
\(134\) | 1.75216 | 0.151363 | ||||||||
\(135\) | −0.170165 | + | 2.19080i | −0.0146454 | + | 0.188554i | ||||
\(136\) | −1.50421 | − | 1.50421i | −0.128985 | − | 0.128985i | ||||
\(137\) | −0.243949 | −0.0208420 | −0.0104210 | − | 0.999946i | \(-0.503317\pi\) | ||||
−0.0104210 | + | 0.999946i | \(0.503317\pi\) | |||||||
\(138\) | − | 0.216643i | − | 0.0184419i | ||||||
\(139\) | 11.6840i | 0.991027i | 0.868600 | + | 0.495514i | \(0.165020\pi\) | ||||
−0.868600 | + | 0.495514i | \(0.834980\pi\) | |||||||
\(140\) | 1.08036 | + | 1.26232i | 0.0913067 | + | 0.106685i | ||||
\(141\) | −16.4306 | + | 16.4306i | −1.38371 | + | 1.38371i | ||||
\(142\) | 0.846020 | − | 0.846020i | 0.0709965 | − | 0.0709965i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | − | 9.18038i | − | 0.765032i | ||||||
\(145\) | 13.8694 | − | 11.8702i | 1.15179 | − | 0.985765i | ||||
\(146\) | 1.67247 | 0.138414 | ||||||||
\(147\) | −11.4475 | + | 11.4475i | −0.944178 | + | 0.944178i | ||||
\(148\) | 9.28566 | 0.763277 | ||||||||
\(149\) | 1.79074 | − | 1.79074i | 0.146703 | − | 0.146703i | −0.629940 | − | 0.776644i | \(-0.716921\pi\) |
0.776644 | + | 0.629940i | \(0.216921\pi\) | |||||||
\(150\) | −2.62294 | + | 1.91389i | −0.214162 | + | 0.156269i | ||||
\(151\) | 2.58498 | − | 2.58498i | 0.210362 | − | 0.210362i | −0.594059 | − | 0.804421i | \(-0.702475\pi\) |
0.804421 | + | 0.594059i | \(0.202475\pi\) | |||||||
\(152\) | 3.82078 | + | 3.82078i | 0.309906 | + | 0.309906i | ||||
\(153\) | 3.60423 | + | 3.60423i | 0.291385 | + | 0.291385i | ||||
\(154\) | −0.327201 | − | 0.327201i | −0.0263666 | − | 0.0263666i | ||||
\(155\) | 0.622463 | − | 8.01398i | 0.0499974 | − | 0.643698i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.21767 | − | 2.21767i | −0.176990 | − | 0.176990i | 0.613053 | − | 0.790042i | \(-0.289941\pi\) |
−0.790042 | + | 0.613053i | \(0.789941\pi\) | |||||||
\(158\) | 0.920455 | 0.0732275 | ||||||||
\(159\) | 23.9666i | 1.90067i | ||||||||
\(160\) | −5.32285 | + | 4.55558i | −0.420809 | + | 0.360150i | ||||
\(161\) | −0.0910805 | − | 0.0910805i | −0.00717815 | − | 0.00717815i | ||||
\(162\) | 2.76860i | 0.217522i | ||||||||
\(163\) | − | 14.8128i | − | 1.16023i | −0.814534 | − | 0.580116i | \(-0.803007\pi\) | ||
0.814534 | − | 0.580116i | \(-0.196993\pi\) | |||||||
\(164\) | −6.33641 | − | 6.33641i | −0.494790 | − | 0.494790i | ||||
\(165\) | −17.5075 | + | 14.9838i | −1.36296 | + | 1.16649i | ||||
\(166\) | 1.42580i | 0.110664i | ||||||||
\(167\) | 3.46812 | 0.268372 | 0.134186 | − | 0.990956i | \(-0.457158\pi\) | ||||
0.134186 | + | 0.990956i | \(0.457158\pi\) | |||||||
\(168\) | 0.695792 | + | 0.695792i | 0.0536815 | + | 0.0536815i | ||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 0.0938613 | − | 1.20843i | 0.00719883 | − | 0.0926823i | ||||
\(171\) | −9.15493 | − | 9.15493i | −0.700095 | − | 0.700095i | ||||
\(172\) | −9.27848 | − | 9.27848i | −0.707477 | − | 0.707477i | ||||
\(173\) | −2.76467 | − | 2.76467i | −0.210194 | − | 0.210194i | 0.594156 | − | 0.804350i | \(-0.297486\pi\) |
−0.804350 | + | 0.594156i | \(0.797486\pi\) | |||||||
\(174\) | 3.74888 | − | 3.74888i | 0.284202 | − | 0.284202i | ||||
\(175\) | −0.298097 | + | 1.90736i | −0.0225340 | + | 0.144183i | ||||
\(176\) | −10.9553 | + | 10.9553i | −0.825787 | + | 0.825787i | ||||
\(177\) | −5.73569 | −0.431121 | ||||||||
\(178\) | 0.971326 | − | 0.971326i | 0.0728040 | − | 0.0728040i | ||||
\(179\) | 6.49760 | 0.485653 | 0.242827 | − | 0.970070i | \(-0.421925\pi\) | ||||
0.242827 | + | 0.970070i | \(0.421925\pi\) | |||||||
\(180\) | 8.44851 | − | 7.23067i | 0.629715 | − | 0.538943i | ||||
\(181\) | 11.9845i | 0.890802i | 0.895331 | + | 0.445401i | \(0.146939\pi\) | ||||
−0.895331 | + | 0.445401i | \(0.853061\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 17.7902 | − | 17.7902i | 1.31509 | − | 1.31509i | ||||
\(184\) | 0.254410 | − | 0.254410i | 0.0187553 | − | 0.0187553i | ||||
\(185\) | 7.01534 | + | 8.19691i | 0.515778 | + | 0.602649i | ||||
\(186\) | − | 2.33441i | − | 0.171167i | ||||||
\(187\) | − | 8.60214i | − | 0.629051i | ||||||
\(188\) | −18.9236 | −1.38015 | ||||||||
\(189\) | 0.268296 | + | 0.268296i | 0.0195156 | + | 0.0195156i | ||||
\(190\) | −0.238412 | + | 3.06947i | −0.0172963 | + | 0.222683i | ||||
\(191\) | −5.19291 | −0.375746 | −0.187873 | − | 0.982193i | \(-0.560159\pi\) | ||||
−0.187873 | + | 0.982193i | \(0.560159\pi\) | |||||||
\(192\) | 10.4336 | − | 10.4336i | 0.752981 | − | 0.752981i | ||||
\(193\) | − | 6.67413i | − | 0.480414i | −0.970722 | − | 0.240207i | \(-0.922785\pi\) | ||
0.970722 | − | 0.240207i | \(-0.0772153\pi\) | |||||||
\(194\) | −4.05289 | −0.290980 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −13.1845 | −0.941748 | ||||||||
\(197\) | 19.5971i | 1.39624i | 0.715982 | + | 0.698119i | \(0.245979\pi\) | ||||
−0.715982 | + | 0.698119i | \(0.754021\pi\) | |||||||
\(198\) | −2.18991 | + | 2.18991i | −0.155630 | + | 0.155630i | ||||
\(199\) | 14.7060 | 1.04248 | 0.521242 | − | 0.853409i | \(-0.325469\pi\) | ||||
0.521242 | + | 0.853409i | \(0.325469\pi\) | |||||||
\(200\) | −5.32773 | − | 0.832657i | −0.376727 | − | 0.0588777i | ||||
\(201\) | −10.6538 | − | 10.6538i | −0.751463 | − | 0.751463i | ||||
\(202\) | 1.45085 | 0.102082 | ||||||||
\(203\) | − | 3.15219i | − | 0.221240i | ||||||
\(204\) | 8.97023i | 0.628042i | ||||||||
\(205\) | 0.806286 | − | 10.3806i | 0.0563135 | − | 0.725014i | ||||
\(206\) | 0.332522 | − | 0.332522i | 0.0231679 | − | 0.0231679i | ||||
\(207\) | −0.609590 | + | 0.609590i | −0.0423694 | + | 0.0423694i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 21.8499i | 1.51139i | ||||||||
\(210\) | −0.0434167 | + | 0.558974i | −0.00299604 | + | 0.0385728i | ||||
\(211\) | −21.4143 | −1.47422 | −0.737111 | − | 0.675771i | \(-0.763811\pi\) | ||||
−0.737111 | + | 0.675771i | \(0.763811\pi\) | |||||||
\(212\) | −13.8015 | + | 13.8015i | −0.947892 | + | 0.947892i | ||||
\(213\) | −10.2883 | −0.704943 | ||||||||
\(214\) | −0.787555 | + | 0.787555i | −0.0538362 | + | 0.0538362i | ||||
\(215\) | 1.18065 | − | 15.2005i | 0.0805199 | − | 1.03666i | ||||
\(216\) | −0.749414 | + | 0.749414i | −0.0509912 | + | 0.0509912i | ||||
\(217\) | −0.981427 | − | 0.981427i | −0.0666236 | − | 0.0666236i | ||||
\(218\) | −1.38201 | − | 1.38201i | −0.0936014 | − | 0.0936014i | ||||
\(219\) | −10.1693 | − | 10.1693i | −0.687176 | − | 0.687176i | ||||
\(220\) | −18.7106 | − | 1.45329i | −1.26147 | − | 0.0979809i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 2.21561 | + | 2.21561i | 0.148702 | + | 0.148702i | ||||
\(223\) | −27.3356 | −1.83053 | −0.915264 | − | 0.402855i | \(-0.868018\pi\) | ||||
−0.915264 | + | 0.402855i | \(0.868018\pi\) | |||||||
\(224\) | 1.20976i | 0.0808302i | ||||||||
\(225\) | 12.7657 | + | 1.99512i | 0.851049 | + | 0.133008i | ||||
\(226\) | −0.772287 | − | 0.772287i | −0.0513718 | − | 0.0513718i | ||||
\(227\) | 6.92738i | 0.459786i | 0.973216 | + | 0.229893i | \(0.0738376\pi\) | ||||
−0.973216 | + | 0.229893i | \(0.926162\pi\) | |||||||
\(228\) | − | 22.7848i | − | 1.50896i | ||||||
\(229\) | 4.56825 | + | 4.56825i | 0.301879 | + | 0.301879i | 0.841749 | − | 0.539870i | \(-0.181527\pi\) |
−0.539870 | + | 0.841749i | \(0.681527\pi\) | |||||||
\(230\) | 0.204383 | + | 0.0158749i | 0.0134766 | + | 0.00104676i | ||||
\(231\) | 3.97903i | 0.261801i | ||||||||
\(232\) | 8.80482 | 0.578065 | ||||||||
\(233\) | 5.49074 | + | 5.49074i | 0.359711 | + | 0.359711i | 0.863706 | − | 0.503996i | \(-0.168137\pi\) |
−0.503996 | + | 0.863706i | \(0.668137\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −14.2968 | − | 16.7048i | −0.932622 | − | 1.08970i | ||||
\(236\) | −3.30298 | − | 3.30298i | −0.215006 | − | 0.215006i | ||||
\(237\) | −5.59674 | − | 5.59674i | −0.363548 | − | 0.363548i | ||||
\(238\) | −0.147990 | − | 0.147990i | −0.00959274 | − | 0.00959274i | ||||
\(239\) | 8.33949 | − | 8.33949i | 0.539437 | − | 0.539437i | −0.383927 | − | 0.923363i | \(-0.625429\pi\) |
0.923363 | + | 0.383927i | \(0.125429\pi\) | |||||||
\(240\) | 18.7155 | + | 1.45367i | 1.20808 | + | 0.0938343i | ||||
\(241\) | 1.03184 | − | 1.03184i | 0.0664667 | − | 0.0664667i | −0.673092 | − | 0.739559i | \(-0.735034\pi\) |
0.739559 | + | 0.673092i | \(0.235034\pi\) | |||||||
\(242\) | 2.20371 | 0.141660 | ||||||||
\(243\) | 14.7496 | − | 14.7496i | 0.946185 | − | 0.946185i | ||||
\(244\) | 20.4895 | 1.31171 | ||||||||
\(245\) | −9.96089 | − | 11.6386i | −0.636378 | − | 0.743561i | ||||
\(246\) | − | 3.02380i | − | 0.192791i | ||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 2.74136 | − | 2.74136i | 0.174077 | − | 0.174077i | ||||
\(249\) | 8.66945 | − | 8.66945i | 0.549404 | − | 0.549404i | ||||
\(250\) | −1.61339 | − | 2.61476i | −0.102040 | − | 0.165372i | ||||
\(251\) | − | 13.0098i | − | 0.821169i | −0.911823 | − | 0.410585i | \(-0.865325\pi\) | ||
0.911823 | − | 0.410585i | \(-0.134675\pi\) | |||||||
\(252\) | − | 1.92014i | − | 0.120958i | ||||||
\(253\) | 1.45489 | 0.0914684 | ||||||||
\(254\) | −2.21600 | − | 2.21600i | −0.139044 | − | 0.139044i | ||||
\(255\) | −7.91846 | + | 6.77703i | −0.495873 | + | 0.424394i | ||||
\(256\) | 10.2946 | 0.643413 | ||||||||
\(257\) | −20.8324 | + | 20.8324i | −1.29949 | + | 1.29949i | −0.370760 | + | 0.928729i | \(0.620903\pi\) |
−0.928729 | + | 0.370760i | \(0.879097\pi\) | |||||||
\(258\) | − | 4.42779i | − | 0.275662i | ||||||
\(259\) | 1.86296 | 0.115759 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −21.0972 | −1.30588 | ||||||||
\(262\) | 5.73326i | 0.354202i | ||||||||
\(263\) | −3.57265 | + | 3.57265i | −0.220299 | + | 0.220299i | −0.808624 | − | 0.588325i | \(-0.799788\pi\) |
0.588325 | + | 0.808624i | \(0.299788\pi\) | |||||||
\(264\) | −11.1144 | −0.684043 | ||||||||
\(265\) | −22.6103 | − | 1.75619i | −1.38894 | − | 0.107882i | ||||
\(266\) | 0.375901 | + | 0.375901i | 0.0230480 | + | 0.0230480i | ||||
\(267\) | −11.8121 | −0.722890 | ||||||||
\(268\) | − | 12.2703i | − | 0.749529i | ||||||
\(269\) | 8.64999i | 0.527399i | 0.964605 | + | 0.263699i | \(0.0849427\pi\) | ||||
−0.964605 | + | 0.263699i | \(0.915057\pi\) | |||||||
\(270\) | −0.602052 | − | 0.0467627i | −0.0366397 | − | 0.00284589i | ||||
\(271\) | 16.2843 | − | 16.2843i | 0.989201 | − | 0.989201i | −0.0107409 | − | 0.999942i | \(-0.503419\pi\) |
0.999942 | + | 0.0107409i | \(0.00341900\pi\) | |||||||
\(272\) | −4.95497 | + | 4.95497i | −0.300439 | + | 0.300439i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 0.0670394i | − | 0.00405000i | ||||||
\(275\) | −12.8530 | − | 17.6147i | −0.775064 | − | 1.06221i | ||||
\(276\) | −1.51715 | −0.0913216 | ||||||||
\(277\) | 15.3026 | − | 15.3026i | 0.919444 | − | 0.919444i | −0.0775451 | − | 0.996989i | \(-0.524708\pi\) |
0.996989 | + | 0.0775451i | \(0.0247082\pi\) | |||||||
\(278\) | −3.21087 | −0.192575 | ||||||||
\(279\) | −6.56856 | + | 6.56856i | −0.393250 | + | 0.393250i | ||||
\(280\) | −0.707403 | + | 0.605432i | −0.0422754 | + | 0.0361815i | ||||
\(281\) | 8.17717 | − | 8.17717i | 0.487809 | − | 0.487809i | −0.419805 | − | 0.907614i | \(-0.637902\pi\) |
0.907614 | + | 0.419805i | \(0.137902\pi\) | |||||||
\(282\) | −4.51527 | − | 4.51527i | −0.268880 | − | 0.268880i | ||||
\(283\) | 3.18152 | + | 3.18152i | 0.189122 | + | 0.189122i | 0.795316 | − | 0.606195i | \(-0.207305\pi\) |
−0.606195 | + | 0.795316i | \(0.707305\pi\) | |||||||
\(284\) | −5.92467 | − | 5.92467i | −0.351564 | − | 0.351564i | ||||
\(285\) | 20.1133 | − | 17.2140i | 1.19141 | − | 1.01967i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.27126 | − | 1.27126i | −0.0750400 | − | 0.0750400i | ||||
\(288\) | 8.09674 | 0.477105 | ||||||||
\(289\) | 13.1093i | 0.771137i | ||||||||
\(290\) | 3.26203 | + | 3.81144i | 0.191553 | + | 0.223815i | ||||
\(291\) | 24.6432 | + | 24.6432i | 1.44461 | + | 1.44461i | ||||
\(292\) | − | 11.7123i | − | 0.685408i | ||||||
\(293\) | 13.1055i | 0.765631i | 0.923825 | + | 0.382815i | \(0.125045\pi\) | ||||
−0.923825 | + | 0.382815i | \(0.874955\pi\) | |||||||
\(294\) | −3.14588 | − | 3.14588i | −0.183472 | − | 0.183472i | ||||
\(295\) | 0.420293 | − | 5.41111i | 0.0244704 | − | 0.315047i | ||||
\(296\) | 5.20370i | 0.302459i | ||||||||
\(297\) | −4.28568 | −0.248680 | ||||||||
\(298\) | 0.492111 | + | 0.492111i | 0.0285072 | + | 0.0285072i | ||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 13.4030 | + | 18.3684i | 0.773821 | + | 1.06050i | ||||
\(301\) | −1.86152 | − | 1.86152i | −0.107296 | − | 0.107296i | ||||
\(302\) | 0.710373 | + | 0.710373i | 0.0408774 | + | 0.0408774i | ||||
\(303\) | −8.82177 | − | 8.82177i | −0.506797 | − | 0.506797i | ||||
\(304\) | 12.5859 | − | 12.5859i | 0.721849 | − | 0.721849i | ||||
\(305\) | 15.4799 | + | 18.0871i | 0.886374 | + | 1.03566i | ||||
\(306\) | −0.990475 | + | 0.990475i | −0.0566217 | + | 0.0566217i | ||||
\(307\) | 7.75447 | 0.442571 | 0.221285 | − | 0.975209i | \(-0.428975\pi\) | ||||
0.221285 | + | 0.975209i | \(0.428975\pi\) | |||||||
\(308\) | −2.29138 | + | 2.29138i | −0.130564 | + | 0.130564i | ||||
\(309\) | −4.04374 | −0.230040 | ||||||||
\(310\) | 2.20231 | + | 0.171058i | 0.125083 | + | 0.00971546i | ||||
\(311\) | 11.6030i | 0.657947i | 0.944339 | + | 0.328974i | \(0.106703\pi\) | ||||
−0.944339 | + | 0.328974i | \(0.893297\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −10.1565 | + | 10.1565i | −0.574078 | + | 0.574078i | −0.933265 | − | 0.359188i | \(-0.883054\pi\) |
0.359188 | + | 0.933265i | \(0.383054\pi\) | |||||||
\(314\) | 0.609436 | − | 0.609436i | 0.0343924 | − | 0.0343924i | ||||
\(315\) | 1.69500 | − | 1.45067i | 0.0955026 | − | 0.0817361i | ||||
\(316\) | − | 6.44593i | − | 0.362612i | ||||||
\(317\) | 21.7686i | 1.22265i | 0.791381 | + | 0.611323i | \(0.209362\pi\) | ||||
−0.791381 | + | 0.611323i | \(0.790638\pi\) | |||||||
\(318\) | −6.58623 | −0.369337 | ||||||||
\(319\) | 25.1761 | + | 25.1761i | 1.40959 | + | 1.40959i | ||||
\(320\) | 9.07864 | + | 10.6077i | 0.507512 | + | 0.592990i | ||||
\(321\) | 9.57732 | 0.534554 | ||||||||
\(322\) | 0.0250297 | − | 0.0250297i | 0.00139485 | − | 0.00139485i | ||||
\(323\) | 9.88248i | 0.549876i | ||||||||
\(324\) | 19.3884 | 1.07714 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 4.07070 | 0.225455 | ||||||||
\(327\) | 16.8064i | 0.929393i | ||||||||
\(328\) | 3.55093 | − | 3.55093i | 0.196067 | − | 0.196067i | ||||
\(329\) | −3.79659 | −0.209313 | ||||||||
\(330\) | −4.11768 | − | 4.81121i | −0.226671 | − | 0.264848i | ||||
\(331\) | −13.8731 | − | 13.8731i | −0.762536 | − | 0.762536i | 0.214244 | − | 0.976780i | \(-0.431271\pi\) |
−0.976780 | + | 0.214244i | \(0.931271\pi\) | |||||||
\(332\) | 9.98485 | 0.547990 | ||||||||
\(333\) | − | 12.4685i | − | 0.683272i | ||||||
\(334\) | 0.953071i | 0.0521497i | ||||||||
\(335\) | 10.8316 | − | 9.27025i | 0.591794 | − | 0.506488i | ||||
\(336\) | 2.29198 | − | 2.29198i | 0.125038 | − | 0.125038i | ||||
\(337\) | −9.35946 | + | 9.35946i | −0.509842 | + | 0.509842i | −0.914478 | − | 0.404636i | \(-0.867398\pi\) |
0.404636 | + | 0.914478i | \(0.367398\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 9.39165i | 0.510084i | ||||||||
\(340\) | −8.46261 | − | 0.657309i | −0.458949 | − | 0.0356476i | ||||
\(341\) | 15.6770 | 0.848959 | ||||||||
\(342\) | 2.51585 | − | 2.51585i | 0.136042 | − | 0.136042i | ||||
\(343\) | −5.34789 | −0.288759 | ||||||||
\(344\) | 5.19967 | − | 5.19967i | 0.280347 | − | 0.280347i | ||||
\(345\) | −1.14621 | − | 1.33926i | −0.0617098 | − | 0.0721034i | ||||
\(346\) | 0.759754 | − | 0.759754i | 0.0408446 | − | 0.0408446i | ||||
\(347\) | −19.5532 | − | 19.5532i | −1.04967 | − | 1.04967i | −0.998700 | − | 0.0509719i | \(-0.983768\pi\) |
−0.0509719 | − | 0.998700i | \(-0.516232\pi\) | |||||||
\(348\) | −26.2533 | − | 26.2533i | −1.40733 | − | 1.40733i | ||||
\(349\) | 20.8717 | + | 20.8717i | 1.11724 | + | 1.11724i | 0.992145 | + | 0.125093i | \(0.0399230\pi\) |
0.125093 | + | 0.992145i | \(0.460077\pi\) | |||||||
\(350\) | −0.524160 | − | 0.0819196i | −0.0280175 | − | 0.00437878i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −9.66215 | − | 9.66215i | −0.514994 | − | 0.514994i | ||||
\(353\) | 15.6355 | 0.832195 | 0.416098 | − | 0.909320i | \(-0.363397\pi\) | ||||
0.416098 | + | 0.909320i | \(0.363397\pi\) | |||||||
\(354\) | − | 1.57622i | − | 0.0837750i | ||||||
\(355\) | 0.753894 | − | 9.70609i | 0.0400125 | − | 0.515146i | ||||
\(356\) | −6.80218 | − | 6.80218i | −0.360515 | − | 0.360515i | ||||
\(357\) | 1.79967i | 0.0952489i | ||||||||
\(358\) | 1.78560i | 0.0943716i | ||||||||
\(359\) | 14.0592 | + | 14.0592i | 0.742017 | + | 0.742017i | 0.972966 | − | 0.230949i | \(-0.0741830\pi\) |
−0.230949 | + | 0.972966i | \(0.574183\pi\) | |||||||
\(360\) | 4.05208 | + | 4.73456i | 0.213563 | + | 0.249533i | ||||
\(361\) | − | 6.10198i | − | 0.321157i | ||||||
\(362\) | −3.29345 | −0.173100 | ||||||||
\(363\) | −13.3995 | − | 13.3995i | −0.703290 | − | 0.703290i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 10.3390 | − | 8.84863i | 0.541167 | − | 0.463159i | ||||
\(366\) | 4.88890 | + | 4.88890i | 0.255547 | + | 0.255547i | ||||
\(367\) | −15.5741 | − | 15.5741i | −0.812963 | − | 0.812963i | 0.172114 | − | 0.985077i | \(-0.444940\pi\) |
−0.985077 | + | 0.172114i | \(0.944940\pi\) | |||||||
\(368\) | −0.838042 | − | 0.838042i | −0.0436860 | − | 0.0436860i | ||||
\(369\) | −8.50836 | + | 8.50836i | −0.442928 | + | 0.442928i | ||||
\(370\) | −2.25258 | + | 1.92788i | −0.117106 | + | 0.100225i | ||||
\(371\) | −2.76896 | + | 2.76896i | −0.143757 | + | 0.143757i | ||||
\(372\) | −16.3479 | −0.847597 | ||||||||
\(373\) | −0.824171 | + | 0.824171i | −0.0426740 | + | 0.0426740i | −0.728122 | − | 0.685448i | \(-0.759606\pi\) |
0.685448 | + | 0.728122i | \(0.259606\pi\) | |||||||
\(374\) | 2.36394 | 0.122237 | ||||||||
\(375\) | −6.08874 | + | 25.7088i | −0.314421 | + | 1.32760i | ||||
\(376\) | − | 10.6048i | − | 0.546901i | ||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −0.0737299 | + | 0.0737299i | −0.00379226 | + | 0.00379226i | ||||
\(379\) | 18.6501 | − | 18.6501i | 0.957990 | − | 0.957990i | −0.0411628 | − | 0.999152i | \(-0.513106\pi\) |
0.999152 | + | 0.0411628i | \(0.0131062\pi\) | |||||||
\(380\) | 21.4954 | + | 1.66960i | 1.10269 | + | 0.0856486i | ||||
\(381\) | 26.9484i | 1.38061i | ||||||||
\(382\) | − | 1.42706i | − | 0.0730146i | ||||||
\(383\) | 32.8001 | 1.67601 | 0.838004 | − | 0.545664i | \(-0.183722\pi\) | ||||
0.838004 | + | 0.545664i | \(0.183722\pi\) | |||||||
\(384\) | 13.3382 | + | 13.3382i | 0.680663 | + | 0.680663i | ||||
\(385\) | −3.75386 | − | 0.291570i | −0.191314 | − | 0.0148598i | ||||
\(386\) | 1.83411 | 0.0933536 | ||||||||
\(387\) | −12.4589 | + | 12.4589i | −0.633321 | + | 0.633321i | ||||
\(388\) | 28.3823i | 1.44089i | ||||||||
\(389\) | 9.36826 | 0.474989 | 0.237495 | − | 0.971389i | \(-0.423674\pi\) | ||||
0.237495 | + | 0.971389i | \(0.423674\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.658034 | 0.0332782 | ||||||||
\(392\) | − | 7.38859i | − | 0.373180i | ||||||
\(393\) | 34.8606 | − | 34.8606i | 1.75848 | − | 1.75848i | ||||
\(394\) | −5.38546 | −0.271316 | ||||||||
\(395\) | 5.69014 | − | 4.86992i | 0.286302 | − | 0.245032i | ||||
\(396\) | 15.3359 | + | 15.3359i | 0.770658 | + | 0.770658i | ||||
\(397\) | −11.6520 | −0.584797 | −0.292399 | − | 0.956297i | \(-0.594453\pi\) | ||||
−0.292399 | + | 0.956297i | \(0.594453\pi\) | |||||||
\(398\) | 4.04135i | 0.202574i | ||||||||
\(399\) | − | 4.57126i | − | 0.228849i | ||||||
\(400\) | −2.74282 | + | 17.5499i | −0.137141 | + | 0.877494i | ||||
\(401\) | −14.5782 | + | 14.5782i | −0.728002 | + | 0.728002i | −0.970221 | − | 0.242220i | \(-0.922124\pi\) |
0.242220 | + | 0.970221i | \(0.422124\pi\) | |||||||
\(402\) | 2.92776 | − | 2.92776i | 0.146024 | − | 0.146024i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | − | 10.1603i | − | 0.505493i | ||||||
\(405\) | 14.6480 | + | 17.1151i | 0.727866 | + | 0.850457i | ||||
\(406\) | 0.866248 | 0.0429912 | ||||||||
\(407\) | −14.8792 | + | 14.8792i | −0.737534 | + | 0.737534i | ||||
\(408\) | −5.02693 | −0.248870 | ||||||||
\(409\) | −3.22285 | + | 3.22285i | −0.159360 | + | 0.159360i | −0.782283 | − | 0.622923i | \(-0.785945\pi\) |
0.622923 | + | 0.782283i | \(0.285945\pi\) | |||||||
\(410\) | 2.85269 | + | 0.221574i | 0.140884 | + | 0.0109428i | ||||
\(411\) | −0.407627 | + | 0.407627i | −0.0201067 | + | 0.0201067i | ||||
\(412\) | −2.32865 | − | 2.32865i | −0.114724 | − | 0.114724i | ||||
\(413\) | −0.662669 | − | 0.662669i | −0.0326078 | − | 0.0326078i | ||||
\(414\) | −0.167521 | − | 0.167521i | −0.00823318 | − | 0.00823318i | ||||
\(415\) | 7.54358 | + | 8.81412i | 0.370300 | + | 0.432668i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 19.5234 | + | 19.5234i | 0.956067 | + | 0.956067i | ||||
\(418\) | −6.00453 | −0.293691 | ||||||||
\(419\) | − | 0.652044i | − | 0.0318545i | −0.999873 | − | 0.0159272i | \(-0.994930\pi\) | ||
0.999873 | − | 0.0159272i | \(-0.00507001\pi\) | |||||||
\(420\) | 3.91448 | + | 0.304047i | 0.191007 | + | 0.0148360i | ||||
\(421\) | −5.58095 | − | 5.58095i | −0.271999 | − | 0.271999i | 0.557906 | − | 0.829904i | \(-0.311605\pi\) |
−0.829904 | + | 0.557906i | \(0.811605\pi\) | |||||||
\(422\) | − | 5.88484i | − | 0.286470i | ||||||
\(423\) | 25.4101i | 1.23548i | ||||||||
\(424\) | −7.73438 | − | 7.73438i | −0.375615 | − | 0.375615i | ||||
\(425\) | −5.81328 | − | 7.96695i | −0.281985 | − | 0.386454i | ||||
\(426\) | − | 2.82731i | − | 0.136984i | ||||||
\(427\) | 4.11075 | 0.198933 | ||||||||
\(428\) | 5.51524 | + | 5.51524i | 0.266589 | + | 0.266589i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.17722 | + | 0.324454i | 0.201443 | + | 0.0156466i | ||||
\(431\) | 25.2795 | + | 25.2795i | 1.21767 | + | 1.21767i | 0.968445 | + | 0.249227i | \(0.0801767\pi\) |
0.249227 | + | 0.968445i | \(0.419823\pi\) | |||||||
\(432\) | 2.46862 | + | 2.46862i | 0.118771 | + | 0.118771i | ||||
\(433\) | 18.6534 | + | 18.6534i | 0.896424 | + | 0.896424i | 0.995118 | − | 0.0986941i | \(-0.0314665\pi\) |
−0.0986941 | + | 0.995118i | \(0.531467\pi\) | |||||||
\(434\) | 0.269705 | − | 0.269705i | 0.0129462 | − | 0.0129462i | ||||
\(435\) | 3.34065 | − | 43.0096i | 0.160172 | − | 2.06215i | ||||
\(436\) | −9.67818 | + | 9.67818i | −0.463501 | + | 0.463501i | ||||
\(437\) | −1.67144 | −0.0799558 | ||||||||
\(438\) | 2.79461 | − | 2.79461i | 0.133531 | − | 0.133531i | ||||
\(439\) | 1.72935 | 0.0825374 | 0.0412687 | − | 0.999148i | \(-0.486860\pi\) | ||||
0.0412687 | + | 0.999148i | \(0.486860\pi\) | |||||||
\(440\) | 0.814426 | − | 10.4854i | 0.0388263 | − | 0.499873i | ||||
\(441\) | 17.7038i | 0.843036i | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 2.86737 | − | 2.86737i | 0.136233 | − | 0.136233i | −0.635702 | − | 0.771935i | \(-0.719289\pi\) |
0.771935 | + | 0.635702i | \(0.219289\pi\) | |||||||
\(444\) | 15.5159 | − | 15.5159i | 0.736350 | − | 0.736350i | ||||
\(445\) | 0.865554 | − | 11.1437i | 0.0410312 | − | 0.528261i | ||||
\(446\) | − | 7.51206i | − | 0.355706i | ||||||
\(447\) | − | 5.98448i | − | 0.283056i | ||||||
\(448\) | 2.41088 | 0.113903 | ||||||||
\(449\) | −14.2752 | − | 14.2752i | −0.673687 | − | 0.673687i | 0.284877 | − | 0.958564i | \(-0.408047\pi\) |
−0.958564 | + | 0.284877i | \(0.908047\pi\) | |||||||
\(450\) | −0.548277 | + | 3.50813i | −0.0258460 | + | 0.165375i | ||||
\(451\) | 20.3067 | 0.956205 | ||||||||
\(452\) | −5.40832 | + | 5.40832i | −0.254386 | + | 0.254386i | ||||
\(453\) | − | 8.63872i | − | 0.405883i | ||||||
\(454\) | −1.90370 | −0.0893452 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 12.7686 | 0.597946 | ||||||||
\(457\) | − | 14.7816i | − | 0.691454i | −0.938335 | − | 0.345727i | \(-0.887632\pi\) | ||
0.938335 | − | 0.345727i | \(-0.112368\pi\) | |||||||
\(458\) | −1.25540 | + | 1.25540i | −0.0586608 | + | 0.0586608i | ||||
\(459\) | −1.93837 | −0.0904753 | ||||||||
\(460\) | 0.111172 | − | 1.43129i | 0.00518341 | − | 0.0667344i | ||||
\(461\) | −4.29491 | − | 4.29491i | −0.200034 | − | 0.200034i | 0.599981 | − | 0.800015i | \(-0.295175\pi\) |
−0.800015 | + | 0.599981i | \(0.795175\pi\) | |||||||
\(462\) | −1.09347 | −0.0508729 | ||||||||
\(463\) | 36.0148i | 1.67375i | 0.547396 | + | 0.836874i | \(0.315619\pi\) | ||||
−0.547396 | + | 0.836874i | \(0.684381\pi\) | |||||||
\(464\) | − | 29.0036i | − | 1.34646i | ||||||
\(465\) | −12.3508 | − | 14.4310i | −0.572757 | − | 0.669224i | ||||
\(466\) | −1.50890 | + | 1.50890i | −0.0698986 | + | 0.0698986i | ||||
\(467\) | 7.68952 | − | 7.68952i | 0.355829 | − | 0.355829i | −0.506444 | − | 0.862273i | \(-0.669040\pi\) |
0.862273 | + | 0.506444i | \(0.169040\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − | 2.46176i | − | 0.113674i | ||||||
\(470\) | 4.59062 | − | 3.92889i | 0.211749 | − | 0.181226i | ||||
\(471\) | −7.41124 | −0.341492 | ||||||||
\(472\) | 1.85099 | − | 1.85099i | 0.0851989 | − | 0.0851989i | ||||
\(473\) | 29.7353 | 1.36723 | ||||||||
\(474\) | 1.53803 | − | 1.53803i | 0.0706442 | − | 0.0706442i | ||||
\(475\) | 14.7660 | + | 20.2365i | 0.677511 | + | 0.928512i | ||||
\(476\) | −1.03637 | + | 1.03637i | −0.0475019 | + | 0.0475019i | ||||
\(477\) | 18.5323 | + | 18.5323i | 0.848536 | + | 0.848536i | ||||
\(478\) | 2.29176 | + | 2.29176i | 0.104823 | + | 0.104823i | ||||
\(479\) | 6.49399 | + | 6.49399i | 0.296718 | + | 0.296718i | 0.839727 | − | 0.543009i | \(-0.182715\pi\) |
−0.543009 | + | 0.839727i | \(0.682715\pi\) | |||||||
\(480\) | −1.28208 | + | 16.5064i | −0.0585189 | + | 0.753408i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 0.283559 | + | 0.283559i | 0.0129157 | + | 0.0129157i | ||||
\(483\) | −0.304382 | −0.0138498 | ||||||||
\(484\) | − | 15.4326i | − | 0.701480i | ||||||
\(485\) | −25.0544 | + | 21.4429i | −1.13766 | + | 0.973672i | ||||
\(486\) | 4.05331 | + | 4.05331i | 0.183862 | + | 0.183862i | ||||
\(487\) | 25.7313i | 1.16600i | 0.812473 | + | 0.582998i | \(0.198121\pi\) | ||||
−0.812473 | + | 0.582998i | \(0.801879\pi\) | |||||||
\(488\) | 11.4823i | 0.519781i | ||||||||
\(489\) | −24.7515 | − | 24.7515i | −1.11930 | − | 1.11930i | ||||
\(490\) | 3.19838 | − | 2.73734i | 0.144488 | − | 0.123660i | ||||
\(491\) | − | 13.1972i | − | 0.595581i | −0.954631 | − | 0.297790i | \(-0.903750\pi\) | ||
0.954631 | − | 0.297790i | \(-0.0962497\pi\) | |||||||
\(492\) | −21.1756 | −0.954671 | ||||||||
\(493\) | 11.3869 | + | 11.3869i | 0.512839 | + | 0.512839i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.95144 | + | 25.1241i | −0.0877108 | + | 1.12924i | ||||
\(496\) | −9.03023 | − | 9.03023i | −0.405469 | − | 0.405469i | ||||
\(497\) | −1.18865 | − | 1.18865i | −0.0533183 | − | 0.0533183i | ||||
\(498\) | 2.38244 | + | 2.38244i | 0.106760 | + | 0.106760i | ||||
\(499\) | 16.7683 | − | 16.7683i | 0.750650 | − | 0.750650i | −0.223950 | − | 0.974601i | \(-0.571895\pi\) |
0.974601 | + | 0.223950i | \(0.0718954\pi\) | |||||||
\(500\) | −18.3111 | + | 11.2985i | −0.818897 | + | 0.505285i | ||||
\(501\) | 5.79506 | − | 5.79506i | 0.258904 | − | 0.258904i | ||||
\(502\) | 3.57520 | 0.159569 | ||||||||
\(503\) | 5.33090 | − | 5.33090i | 0.237693 | − | 0.237693i | −0.578201 | − | 0.815894i | \(-0.696245\pi\) |
0.815894 | + | 0.578201i | \(0.196245\pi\) | |||||||
\(504\) | 1.07605 | 0.0479311 | ||||||||
\(505\) | 8.96898 | − | 7.67612i | 0.399114 | − | 0.341583i | ||||
\(506\) | 0.399817i | 0.0177740i | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −15.5186 | + | 15.5186i | −0.688528 | + | 0.688528i | ||||
\(509\) | −21.6741 | + | 21.6741i | −0.960687 | + | 0.960687i | −0.999256 | − | 0.0385690i | \(-0.987720\pi\) |
0.0385690 | + | 0.999256i | \(0.487720\pi\) | |||||||
\(510\) | −1.86239 | − | 2.17606i | −0.0824678 | − | 0.0963576i | ||||
\(511\) | − | 2.34980i | − | 0.103949i | ||||||
\(512\) | 18.7939i | 0.830581i | ||||||||
\(513\) | 4.92355 | 0.217380 | ||||||||
\(514\) | −5.72492 | − | 5.72492i | −0.252515 | − | 0.252515i | ||||
\(515\) | 0.296312 | − | 3.81491i | 0.0130571 | − | 0.168105i | ||||
\(516\) | −31.0077 | −1.36504 | ||||||||
\(517\) | 30.3229 | − | 30.3229i | 1.33360 | − | 1.33360i | ||||
\(518\) | 0.511957i | 0.0224941i | ||||||||
\(519\) | −9.23923 | −0.405557 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −7.16076 | −0.313719 | −0.156859 | − | 0.987621i | \(-0.550137\pi\) | ||||
−0.156859 | + | 0.987621i | \(0.550137\pi\) | |||||||
\(522\) | − | 5.79768i | − | 0.253758i | ||||||
\(523\) | 7.60576 | − | 7.60576i | 0.332576 | − | 0.332576i | −0.520988 | − | 0.853564i | \(-0.674436\pi\) |
0.853564 | + | 0.520988i | \(0.174436\pi\) | |||||||
\(524\) | 40.1499 | 1.75396 | ||||||||
\(525\) | 2.68900 | + | 3.68521i | 0.117358 | + | 0.160836i | ||||
\(526\) | −0.981796 | − | 0.981796i | −0.0428083 | − | 0.0428083i | ||||
\(527\) | 7.09057 | 0.308870 | ||||||||
\(528\) | 36.6115i | 1.59331i | ||||||||
\(529\) | − | 22.8887i | − | 0.995161i | ||||||
\(530\) | 0.482617 | − | 6.21351i | 0.0209636 | − | 0.269898i | ||||
\(531\) | −4.43516 | + | 4.43516i | −0.192469 | + | 0.192469i | ||||
\(532\) | 2.63243 | − | 2.63243i | 0.114130 | − | 0.114130i | ||||
\(533\) | 0 | 0 | ||||||||
\(534\) | − | 3.24607i | − | 0.140471i | ||||||
\(535\) | −0.701795 | + | 9.03534i | −0.0303412 | + | 0.390632i | ||||
\(536\) | 6.87630 | 0.297011 | ||||||||
\(537\) | 10.8572 | − | 10.8572i | 0.468521 | − | 0.468521i | ||||
\(538\) | −2.37709 | −0.102484 | ||||||||
\(539\) | 21.1266 | − | 21.1266i | 0.909986 | − | 0.909986i | ||||
\(540\) | −0.327478 | + | 4.21616i | −0.0140924 | + | 0.181435i | ||||
\(541\) | 11.1986 | − | 11.1986i | 0.481464 | − | 0.481464i | −0.424135 | − | 0.905599i | \(-0.639422\pi\) |
0.905599 | + | 0.424135i | \(0.139422\pi\) | |||||||
\(542\) | 4.47507 | + | 4.47507i | 0.192221 | + | 0.192221i | ||||
\(543\) | 20.0255 | + | 20.0255i | 0.859377 | + | 0.859377i | ||||
\(544\) | −4.37009 | − | 4.37009i | −0.187366 | − | 0.187366i | ||||
\(545\) | −15.8553 | − | 1.23152i | −0.679166 | − | 0.0527523i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −23.6205 | − | 23.6205i | −1.00994 | − | 1.00994i | −0.999950 | − | 0.00999077i | \(-0.996820\pi\) |
−0.00999077 | − | 0.999950i | \(-0.503180\pi\) | |||||||
\(548\) | −0.469476 | −0.0200550 | ||||||||
\(549\) | − | 27.5127i | − | 1.17422i | ||||||
\(550\) | 4.84067 | − | 3.53211i | 0.206407 | − | 0.150610i | ||||
\(551\) | −28.9232 | − | 28.9232i | −1.23217 | − | 1.23217i | ||||
\(552\) | − | 0.850212i | − | 0.0361874i | ||||||
\(553\) | − | 1.29323i | − | 0.0549938i | ||||||
\(554\) | 4.20528 | + | 4.20528i | 0.178665 | + | 0.178665i | ||||
\(555\) | 25.4189 | + | 1.97434i | 1.07897 | + | 0.0838061i | ||||
\(556\) | 22.4857i | 0.953606i | ||||||||
\(557\) | 31.1464 | 1.31972 | 0.659859 | − | 0.751390i | \(-0.270616\pi\) | ||||
0.659859 | + | 0.751390i | \(0.270616\pi\) | |||||||
\(558\) | −1.80510 | − | 1.80510i | −0.0764159 | − | 0.0764159i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 1.99433 | + | 2.33023i | 0.0842759 | + | 0.0984702i | ||||
\(561\) | −14.3737 | − | 14.3737i | −0.606860 | − | 0.606860i | ||||
\(562\) | 2.24716 | + | 2.24716i | 0.0947906 | + | 0.0947906i | ||||
\(563\) | −14.7397 | − | 14.7397i | −0.621203 | − | 0.621203i | 0.324636 | − | 0.945839i | \(-0.394758\pi\) |
−0.945839 | + | 0.324636i | \(0.894758\pi\) | |||||||
\(564\) | −31.6204 | + | 31.6204i | −1.33146 | + | 1.33146i | ||||
\(565\) | −8.86018 | − | 0.688190i | −0.372751 | − | 0.0289524i | ||||
\(566\) | −0.874308 | + | 0.874308i | −0.0367499 | + | 0.0367499i | ||||
\(567\) | 3.88985 | 0.163359 | ||||||||
\(568\) | 3.32019 | − | 3.32019i | 0.139312 | − | 0.139312i | ||||
\(569\) | −41.7455 | −1.75006 | −0.875031 | − | 0.484066i | \(-0.839159\pi\) | ||||
−0.875031 | + | 0.484066i | \(0.839159\pi\) | |||||||
\(570\) | 4.73055 | + | 5.52730i | 0.198141 | + | 0.231513i | ||||
\(571\) | − | 19.2151i | − | 0.804127i | −0.915612 | − | 0.402064i | \(-0.868293\pi\) | ||
0.915612 | − | 0.402064i | \(-0.131707\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −8.67709 | + | 8.67709i | −0.362491 | + | 0.362491i | ||||
\(574\) | 0.349353 | − | 0.349353i | 0.0145817 | − | 0.0145817i | ||||
\(575\) | 1.34746 | − | 0.983209i | 0.0561931 | − | 0.0410027i | ||||
\(576\) | − | 16.1357i | − | 0.672321i | ||||||
\(577\) | − | 21.8168i | − | 0.908243i | −0.890940 | − | 0.454122i | \(-0.849953\pi\) | ||
0.890940 | − | 0.454122i | \(-0.150047\pi\) | |||||||
\(578\) | −3.60256 | −0.149847 | ||||||||
\(579\) | −11.1521 | − | 11.1521i | −0.463466 | − | 0.463466i | ||||
\(580\) | 26.6914 | − | 22.8439i | 1.10830 | − | 0.948542i | ||||
\(581\) | 2.00324 | 0.0831082 | ||||||||
\(582\) | −6.77217 | + | 6.77217i | −0.280715 | + | 0.280715i | ||||
\(583\) | − | 44.2306i | − | 1.83184i | ||||||
\(584\) | 6.56356 | 0.271602 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −3.60150 | −0.148777 | ||||||||
\(587\) | − | 5.85530i | − | 0.241674i | −0.992672 | − | 0.120837i | \(-0.961442\pi\) | ||
0.992672 | − | 0.120837i | \(-0.0385579\pi\) | |||||||
\(588\) | −22.0306 | + | 22.0306i | −0.908525 | + | 0.908525i | ||||
\(589\) | −18.0104 | −0.742105 | ||||||||
\(590\) | 1.48702 | + | 0.115500i | 0.0612197 | + | 0.00475507i | ||||
\(591\) | 32.7458 | + | 32.7458i | 1.34698 | + | 1.34698i | ||||
\(592\) | 17.1413 | 0.704503 | ||||||||
\(593\) | − | 45.6277i | − | 1.87370i | −0.349727 | − | 0.936852i | \(-0.613726\pi\) | ||
0.349727 | − | 0.936852i | \(-0.386274\pi\) | |||||||
\(594\) | − | 1.17774i | − | 0.0483233i | ||||||
\(595\) | −1.69783 | − | 0.131874i | −0.0696043 | − | 0.00540632i | ||||
\(596\) | 3.44625 | − | 3.44625i | 0.141164 | − | 0.141164i | ||||
\(597\) | 24.5730 | − | 24.5730i | 1.00571 | − | 1.00571i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 12.7240i | − | 0.519888i | −0.965624 | − | 0.259944i | \(-0.916296\pi\) | ||
0.965624 | − | 0.259944i | \(-0.0837041\pi\) | |||||||
\(600\) | −10.2937 | + | 7.51104i | −0.420238 | + | 0.306637i | ||||
\(601\) | −24.7272 | −1.00864 | −0.504321 | − | 0.863516i | \(-0.668257\pi\) | ||||
−0.504321 | + | 0.863516i | \(0.668257\pi\) | |||||||
\(602\) | 0.511561 | − | 0.511561i | 0.0208497 | − | 0.0208497i | ||||
\(603\) | −16.4763 | −0.670965 | ||||||||
\(604\) | 4.97473 | − | 4.97473i | 0.202419 | − | 0.202419i | ||||
\(605\) | 13.6231 | − | 11.6593i | 0.553857 | − | 0.474020i | ||||
\(606\) | 2.42430 | − | 2.42430i | 0.0984804 | − | 0.0984804i | ||||
\(607\) | 3.11245 | + | 3.11245i | 0.126331 | + | 0.126331i | 0.767445 | − | 0.641115i | \(-0.221528\pi\) |
−0.641115 | + | 0.767445i | \(0.721528\pi\) | |||||||
\(608\) | 11.1003 | + | 11.1003i | 0.450175 | + | 0.450175i | ||||
\(609\) | −5.26714 | − | 5.26714i | −0.213435 | − | 0.213435i | ||||
\(610\) | −4.97048 | + | 4.25400i | −0.201249 | + | 0.172239i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 6.93628 | + | 6.93628i | 0.280382 | + | 0.280382i | ||||
\(613\) | 1.16058 | 0.0468752 | 0.0234376 | − | 0.999725i | \(-0.492539\pi\) | ||||
0.0234376 | + | 0.999725i | \(0.492539\pi\) | |||||||
\(614\) | 2.13099i | 0.0859999i | ||||||||
\(615\) | −15.9982 | − | 18.6928i | −0.645111 | − | 0.753765i | ||||
\(616\) | −1.28409 | − | 1.28409i | −0.0517375 | − | 0.0517375i | ||||
\(617\) | − | 38.4760i | − | 1.54899i | −0.632583 | − | 0.774493i | \(-0.718005\pi\) | ||
0.632583 | − | 0.774493i | \(-0.281995\pi\) | |||||||
\(618\) | − | 1.11126i | − | 0.0447012i | ||||||
\(619\) | 24.7229 | + | 24.7229i | 0.993698 | + | 0.993698i | 0.999980 | − | 0.00628240i | \(-0.00199976\pi\) |
−0.00628240 | + | 0.999980i | \(0.502000\pi\) | |||||||
\(620\) | 1.19792 | − | 15.4227i | 0.0481096 | − | 0.619392i | ||||
\(621\) | − | 0.327839i | − | 0.0131557i | ||||||
\(622\) | −3.18861 | −0.127852 | ||||||||
\(623\) | −1.36470 | − | 1.36470i | −0.0546757 | − | 0.0546757i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −23.8078 | − | 7.62804i | −0.952313 | − | 0.305122i | ||||
\(626\) | −2.79109 | − | 2.79109i | −0.111554 | − | 0.111554i | ||||
\(627\) | 36.5100 | + | 36.5100i | 1.45807 | + | 1.45807i | ||||
\(628\) | −4.26787 | − | 4.26787i | −0.170306 | − | 0.170306i | ||||
\(629\) | −6.72971 | + | 6.72971i | −0.268331 | + | 0.268331i | ||||
\(630\) | 0.398657 | + | 0.465802i | 0.0158829 | + | 0.0185580i | ||||
\(631\) | 5.16604 | − | 5.16604i | 0.205657 | − | 0.205657i | −0.596762 | − | 0.802419i | \(-0.703546\pi\) |
0.802419 | + | 0.596762i | \(0.203546\pi\) | |||||||
\(632\) | 3.61231 | 0.143690 | ||||||||
\(633\) | −35.7822 | + | 35.7822i | −1.42222 | + | 1.42222i | ||||
\(634\) | −5.98220 | −0.237583 | ||||||||
\(635\) | −25.4234 | − | 1.97469i | −1.00890 | − | 0.0783633i | ||||
\(636\) | 46.1232i | 1.82891i | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −6.91860 | + | 6.91860i | −0.273910 | + | 0.273910i | ||||
\(639\) | −7.95548 | + | 7.95548i | −0.314714 | + | 0.314714i | ||||
\(640\) | −13.5608 | + | 11.6060i | −0.536038 | + | 0.458769i | ||||
\(641\) | − | 8.31220i | − | 0.328312i | −0.986434 | − | 0.164156i | \(-0.947510\pi\) | ||
0.986434 | − | 0.164156i | \(-0.0524901\pi\) | |||||||
\(642\) | 2.63193i | 0.103874i | ||||||||
\(643\) | 11.1556 | 0.439933 | 0.219967 | − | 0.975507i | \(-0.429405\pi\) | ||||
0.219967 | + | 0.975507i | \(0.429405\pi\) | |||||||
\(644\) | −0.175283 | − | 0.175283i | −0.00690710 | − | 0.00690710i | ||||
\(645\) | −23.4264 | − | 27.3720i | −0.922414 | − | 1.07777i | ||||
\(646\) | −2.71579 | −0.106851 | ||||||||
\(647\) | 29.7686 | − | 29.7686i | 1.17033 | − | 1.17033i | 0.188194 | − | 0.982132i | \(-0.439736\pi\) |
0.982132 | − | 0.188194i | \(-0.0602635\pi\) | |||||||
\(648\) | 10.8653i | 0.426830i | ||||||||
\(649\) | 10.5853 | 0.415509 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −3.27983 | −0.128547 | ||||||||
\(652\) | − | 28.5070i | − | 1.11642i | ||||||
\(653\) | −30.2101 | + | 30.2101i | −1.18221 | + | 1.18221i | −0.203045 | + | 0.979169i | \(0.565084\pi\) |
−0.979169 | + | 0.203045i | \(0.934916\pi\) | |||||||
\(654\) | −4.61853 | −0.180599 | ||||||||
\(655\) | 30.3334 | + | 35.4423i | 1.18522 | + | 1.38485i | ||||
\(656\) | −11.6970 | − | 11.6970i | −0.456691 | − | 0.456691i | ||||
\(657\) | −15.7269 | −0.613565 | ||||||||
\(658\) | − | 1.04334i | − | 0.0406735i | ||||||
\(659\) | 17.6082i | 0.685916i | 0.939351 | + | 0.342958i | \(0.111429\pi\) | ||||
−0.939351 | + | 0.342958i | \(0.888571\pi\) | |||||||
\(660\) | −33.6928 | + | 28.8360i | −1.31149 | + | 1.12244i | ||||
\(661\) | 19.7044 | − | 19.7044i | 0.766413 | − | 0.766413i | −0.211060 | − | 0.977473i | \(-0.567692\pi\) |
0.977473 | + | 0.211060i | \(0.0676915\pi\) | |||||||
\(662\) | 3.81246 | − | 3.81246i | 0.148175 | − | 0.148175i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 5.59552i | 0.217148i | ||||||||
\(665\) | 4.31258 | + | 0.334967i | 0.167235 | + | 0.0129895i | ||||
\(666\) | 3.42646 | 0.132773 | ||||||||
\(667\) | −1.92588 | + | 1.92588i | −0.0745704 | + | 0.0745704i | ||||
\(668\) | 6.67434 | 0.258238 | ||||||||
\(669\) | −45.6764 | + | 45.6764i | −1.76595 | + | 1.76595i | ||||
\(670\) | 2.54754 | + | 2.97662i | 0.0984202 | + | 0.114997i | ||||
\(671\) | −32.8320 | + | 32.8320i | −1.26747 | + | 1.26747i | ||||
\(672\) | 2.02144 | + | 2.02144i | 0.0779788 | + | 0.0779788i | ||||
\(673\) | −5.16432 | − | 5.16432i | −0.199070 | − | 0.199070i | 0.600531 | − | 0.799601i | \(-0.294956\pi\) |
−0.799601 | + | 0.600531i | \(0.794956\pi\) | |||||||
\(674\) | −2.57206 | − | 2.57206i | −0.0990721 | − | 0.0990721i | ||||
\(675\) | −3.96922 | + | 2.89624i | −0.152775 | + | 0.111476i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 3.26988 | + | 3.26988i | 0.125672 | + | 0.125672i | 0.767145 | − | 0.641473i | \(-0.221677\pi\) |
−0.641473 | + | 0.767145i | \(0.721677\pi\) | |||||||
\(678\) | −2.58091 | −0.0991191 | ||||||||
\(679\) | 5.69427i | 0.218526i | ||||||||
\(680\) | 0.368357 | − | 4.74245i | 0.0141258 | − | 0.181865i | ||||
\(681\) | 11.5753 | + | 11.5753i | 0.443566 | + | 0.443566i | ||||
\(682\) | 4.30818i | 0.164969i | ||||||||
\(683\) | 27.0952i | 1.03677i | 0.855148 | + | 0.518384i | \(0.173466\pi\) | ||||
−0.855148 | + | 0.518384i | \(0.826534\pi\) | |||||||
\(684\) | −17.6185 | − | 17.6185i | −0.673660 | − | 0.673660i | ||||
\(685\) | −0.354690 | − | 0.414429i | −0.0135520 | − | 0.0158345i | ||||
\(686\) | − | 1.46965i | − | 0.0561114i | ||||||
\(687\) | 15.2666 | 0.582458 | ||||||||
\(688\) | −17.1280 | − | 17.1280i | −0.653000 | − | 0.653000i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0.368040 | − | 0.314988i | 0.0140111 | − | 0.0119914i | ||||
\(691\) | 8.88521 | + | 8.88521i | 0.338009 | + | 0.338009i | 0.855618 | − | 0.517608i | \(-0.173178\pi\) |
−0.517608 | + | 0.855618i | \(0.673178\pi\) | |||||||
\(692\) | −5.32055 | − | 5.32055i | −0.202257 | − | 0.202257i | ||||
\(693\) | 3.07680 | + | 3.07680i | 0.116878 | + | 0.116878i | ||||
\(694\) | 5.37339 | − | 5.37339i | 0.203971 | − | 0.203971i | ||||
\(695\) | −19.8492 | + | 16.9880i | −0.752924 | + | 0.644392i | ||||
\(696\) | 14.7124 | − | 14.7124i | 0.557672 | − | 0.557672i | ||||
\(697\) | 9.18452 | 0.347889 | ||||||||
\(698\) | −5.73573 | + | 5.73573i | −0.217101 | + | 0.217101i | ||||
\(699\) | 18.3495 | 0.694042 | ||||||||
\(700\) | −0.573681 | + | 3.67068i | −0.0216831 | + | 0.138739i | ||||
\(701\) | − | 39.3955i | − | 1.48795i | −0.668208 | − | 0.743974i | \(-0.732938\pi\) | ||
0.668208 | − | 0.743974i | \(-0.267062\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 17.0938 | − | 17.0938i | 0.644705 | − | 0.644705i | ||||
\(704\) | −19.2554 | + | 19.2554i | −0.725714 | + | 0.725714i | ||||
\(705\) | −51.8021 | − | 4.02358i | −1.95098 | − | 0.151537i | ||||
\(706\) | 4.29678i | 0.161711i | ||||||||
\(707\) | − | 2.03843i | − | 0.0766631i | ||||||
\(708\) | −11.0382 | −0.414842 | ||||||||
\(709\) | −18.0945 | − | 18.0945i | −0.679552 | − | 0.679552i | 0.280347 | − | 0.959899i | \(-0.409550\pi\) |
−0.959899 | + | 0.280347i | \(0.909550\pi\) | |||||||
\(710\) | 2.66732 | + | 0.207176i | 0.100103 | + | 0.00777519i | ||||
\(711\) | −8.65543 | −0.324604 | ||||||||
\(712\) | 3.81195 | − | 3.81195i | 0.142859 | − | 0.142859i | ||||
\(713\) | 1.19924i | 0.0449118i | ||||||||
\(714\) | −0.494566 | −0.0185087 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 12.5045 | 0.467315 | ||||||||
\(717\) | − | 27.8697i | − | 1.04081i | ||||||
\(718\) | −3.86359 | + | 3.86359i | −0.144188 | + | 0.144188i | ||||
\(719\) | −8.68536 | −0.323909 | −0.161955 | − | 0.986798i | \(-0.551780\pi\) | ||||
−0.161955 | + | 0.986798i | \(0.551780\pi\) | |||||||
\(720\) | 15.5959 | − | 13.3478i | 0.581226 | − | 0.497443i | ||||
\(721\) | −0.467191 | − | 0.467191i | −0.0173991 | − | 0.0173991i | ||||
\(722\) | 1.67688 | 0.0624069 | ||||||||
\(723\) | − | 3.44830i | − | 0.128244i | ||||||
\(724\) | 23.0640i | 0.857166i | ||||||||
\(725\) | 40.3309 | + | 6.30321i | 1.49785 | + | 0.234095i | ||||
\(726\) | 3.68229 | − | 3.68229i | 0.136663 | − | 0.136663i | ||||
\(727\) | −17.4677 | + | 17.4677i | −0.647841 | + | 0.647841i | −0.952471 | − | 0.304630i | \(-0.901467\pi\) |
0.304630 | + | 0.952471i | \(0.401467\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 19.0676i | − | 0.706209i | ||||||
\(730\) | 2.43168 | + | 2.84124i | 0.0900005 | + | 0.105159i | ||||
\(731\) | 13.4490 | 0.497429 | ||||||||
\(732\) | 34.2369 | − | 34.2369i | 1.26543 | − | 1.26543i | ||||
\(733\) | −34.2413 | −1.26473 | −0.632365 | − | 0.774670i | \(-0.717916\pi\) | ||||
−0.632365 | + | 0.774670i | \(0.717916\pi\) | |||||||
\(734\) | 4.27990 | − | 4.27990i | 0.157974 | − | 0.157974i | ||||
\(735\) | −36.0916 | − | 2.80331i | −1.33126 | − | 0.103402i | ||||
\(736\) | 0.739121 | − | 0.739121i | 0.0272444 | − | 0.0272444i | ||||
\(737\) | 19.6617 | + | 19.6617i | 0.724250 | + | 0.724250i | ||||
\(738\) | −2.33817 | − | 2.33817i | −0.0860692 | − | 0.0860692i | ||||
\(739\) | 19.9754 | + | 19.9754i | 0.734807 | + | 0.734807i | 0.971568 | − | 0.236761i | \(-0.0760859\pi\) |
−0.236761 | + | 0.971568i | \(0.576086\pi\) | |||||||
\(740\) | 13.5009 | + | 15.7748i | 0.496302 | + | 0.579893i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.760935 | − | 0.760935i | −0.0279348 | − | 0.0279348i | ||||
\(743\) | 31.6768 | 1.16211 | 0.581055 | − | 0.813864i | \(-0.302640\pi\) | ||||
0.581055 | + | 0.813864i | \(0.302640\pi\) | |||||||
\(744\) | − | 9.16136i | − | 0.335872i | ||||||
\(745\) | 5.64582 | + | 0.438523i | 0.206847 | + | 0.0160662i | ||||
\(746\) | −0.226489 | − | 0.226489i | −0.00829237 | − | 0.00829237i | ||||
\(747\) | − | 13.4074i | − | 0.490551i | ||||||
\(748\) | − | 16.5547i | − | 0.605298i | ||||||
\(749\) | 1.10651 | + | 1.10651i | 0.0404309 | + | 0.0404309i | ||||
\(750\) | −7.06501 | − | 1.67324i | −0.257978 | − | 0.0610980i | ||||
\(751\) | − | 2.44047i | − | 0.0890541i | −0.999008 | − | 0.0445271i | \(-0.985822\pi\) | ||
0.999008 | − | 0.0445271i | \(-0.0141781\pi\) | |||||||
\(752\) | −34.9329 | −1.27387 | ||||||||
\(753\) | −21.7387 | − | 21.7387i | −0.792201 | − | 0.792201i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8.14986 | + | 0.633018i | 0.296604 | + | 0.0230379i | ||||
\(756\) | 0.516329 | + | 0.516329i | 0.0187787 | + | 0.0187787i | ||||
\(757\) | 30.1874 | + | 30.1874i | 1.09718 | + | 1.09718i | 0.994739 | + | 0.102439i | \(0.0326646\pi\) |
0.102439 | + | 0.994739i | \(0.467335\pi\) | |||||||
\(758\) | 5.12520 | + | 5.12520i | 0.186156 | + | 0.186156i | ||||
\(759\) | 2.43105 | − | 2.43105i | 0.0882416 | − | 0.0882416i | ||||
\(760\) | −0.935645 | + | 12.0461i | −0.0339394 | + | 0.436957i | ||||
\(761\) | 28.2568 | − | 28.2568i | 1.02431 | − | 1.02431i | 0.0246125 | − | 0.999697i | \(-0.492165\pi\) |
0.999697 | − | 0.0246125i | \(-0.00783521\pi\) | |||||||
\(762\) | −7.40565 | −0.268279 | ||||||||
\(763\) | −1.94171 | + | 1.94171i | −0.0702946 | + | 0.0702946i | ||||
\(764\) | −9.99366 | −0.361558 | ||||||||
\(765\) | −0.882617 | + | 11.3634i | −0.0319111 | + | 0.410843i | ||||
\(766\) | 9.01376i | 0.325680i | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 17.2018 | − | 17.2018i | 0.620716 | − | 0.620716i | ||||
\(769\) | −27.1011 | + | 27.1011i | −0.977291 | + | 0.977291i | −0.999748 | − | 0.0224570i | \(-0.992851\pi\) |
0.0224570 | + | 0.999748i | \(0.492851\pi\) | |||||||
\(770\) | 0.0801260 | − | 1.03159i | 0.00288754 | − | 0.0371760i | ||||
\(771\) | 69.6197i | 2.50729i | ||||||||
\(772\) | − | 12.8442i | − | 0.462274i | ||||||
\(773\) | −14.5788 | −0.524363 | −0.262181 | − | 0.965019i | \(-0.584442\pi\) | ||||
−0.262181 | + | 0.965019i | \(0.584442\pi\) | |||||||
\(774\) | −3.42381 | − | 3.42381i | −0.123066 | − | 0.123066i | ||||
\(775\) | 14.5194 | − | 10.5945i | 0.521553 | − | 0.380564i | ||||
\(776\) | −15.9055 | −0.570973 | ||||||||
\(777\) | 3.11291 | − | 3.11291i | 0.111675 | − | 0.111675i | ||||
\(778\) | 2.57448i | 0.0922995i | ||||||||
\(779\) | −23.3291 | −0.835853 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 18.9872 | 0.679414 | ||||||||
\(782\) | 0.180833i | 0.00646659i | ||||||||
\(783\) | 5.67306 | − | 5.67306i | 0.202739 | − | 0.202739i | ||||
\(784\) | −24.3385 | −0.869232 | ||||||||
\(785\) | 0.543072 | − | 6.99184i | 0.0193831 | − | 0.249549i | ||||
\(786\) | 9.57999 | + | 9.57999i | 0.341707 | + | 0.341707i | ||||
\(787\) | 0.947805 | 0.0337856 | 0.0168928 | − | 0.999857i | \(-0.494623\pi\) | ||||
0.0168928 | + | 0.999857i | \(0.494623\pi\) | |||||||
\(788\) | 37.7143i | 1.34352i | ||||||||
\(789\) | 11.9394i | 0.425056i | ||||||||
\(790\) | 1.33829 | + | 1.56370i | 0.0476144 | + | 0.0556339i | ||||
\(791\) | −1.08506 | + | 1.08506i | −0.0385802 | + | 0.0385802i | ||||
\(792\) | −8.59426 | + | 8.59426i | −0.305384 | + | 0.305384i | ||||
\(793\) | 0 | 0 | ||||||||
\(794\) | − | 3.20207i | − | 0.113637i | ||||||
\(795\) | −40.7152 | + | 34.8462i | −1.44402 | + | 1.23587i | ||||
\(796\) | 28.3015 | 1.00312 | ||||||||
\(797\) | 3.30722 | − | 3.30722i | 0.117148 | − | 0.117148i | −0.646103 | − | 0.763250i | \(-0.723602\pi\) |
0.763250 | + | 0.646103i | \(0.223602\pi\) | |||||||
\(798\) | 1.25622 | 0.0444698 | ||||||||
\(799\) | 13.7147 | − | 13.7147i | 0.485192 | − | 0.485192i | ||||
\(800\) | −15.4783 | − | 2.41906i | −0.547241 | − | 0.0855268i | ||||
\(801\) | −9.13379 | + | 9.13379i | −0.322726 | + | 0.322726i | ||||
\(802\) | −4.00622 | − | 4.00622i | −0.141465 | − | 0.141465i | ||||
\(803\) | 18.7675 | + | 18.7675i | 0.662291 | + | 0.662291i | ||||
\(804\) | −20.5031 | − | 20.5031i | −0.723088 | − | 0.723088i | ||||
\(805\) | 0.0223041 | − | 0.287157i | 0.000786117 | − | 0.0101210i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 14.4537 | + | 14.4537i | 0.508794 | + | 0.508794i | ||||
\(808\) | 5.69384 | 0.200308 | ||||||||
\(809\) | − | 24.4365i | − | 0.859143i | −0.903033 | − | 0.429572i | \(-0.858665\pi\) | ||
0.903033 | − | 0.429572i | \(-0.141335\pi\) | |||||||
\(810\) | −4.70338 | + | 4.02540i | −0.165260 | + | 0.141438i | ||||
\(811\) | −9.34795 | − | 9.34795i | −0.328251 | − | 0.328251i | 0.523670 | − | 0.851921i | \(-0.324562\pi\) |
−0.851921 | + | 0.523670i | \(0.824562\pi\) | |||||||
\(812\) | − | 6.06632i | − | 0.212886i | ||||||
\(813\) | − | 54.4205i | − | 1.90861i | ||||||
\(814\) | −4.08893 | − | 4.08893i | −0.143317 | − | 0.143317i | ||||
\(815\) | 25.1645 | − | 21.5371i | 0.881475 | − | 0.754412i | ||||
\(816\) | 16.5590i | 0.579681i | ||||||||
\(817\) | −34.1611 | −1.19515 | ||||||||
\(818\) | −0.885667 | − | 0.885667i | −0.0309666 | − | 0.0309666i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.55168 | − | 19.9773i | 0.0541871 | − | 0.697638i | ||||
\(821\) | 1.38999 | + | 1.38999i | 0.0485110 | + | 0.0485110i | 0.730946 | − | 0.682435i | \(-0.239079\pi\) |
−0.682435 | + | 0.730946i | \(0.739079\pi\) | |||||||
\(822\) | −0.112019 | − | 0.112019i | −0.00390712 | − | 0.00390712i | ||||
\(823\) | 11.6284 | + | 11.6284i | 0.405339 | + | 0.405339i | 0.880110 | − | 0.474771i | \(-0.157469\pi\) |
−0.474771 | + | 0.880110i | \(0.657469\pi\) | |||||||
\(824\) | 1.30498 | − | 1.30498i | 0.0454610 | − | 0.0454610i | ||||
\(825\) | −50.9100 | − | 7.95658i | −1.77246 | − | 0.277013i | ||||
\(826\) | 0.182107 | − | 0.182107i | 0.00633632 | − | 0.00633632i | ||||
\(827\) | 27.3262 | 0.950225 | 0.475113 | − | 0.879925i | \(-0.342407\pi\) | ||||
0.475113 | + | 0.879925i | \(0.342407\pi\) | |||||||
\(828\) | −1.17314 | + | 1.17314i | −0.0407696 | + | 0.0407696i | ||||
\(829\) | −14.5553 | −0.505526 | −0.252763 | − | 0.967528i | \(-0.581339\pi\) | ||||
−0.252763 | + | 0.967528i | \(0.581339\pi\) | |||||||
\(830\) | −2.42219 | + | 2.07304i | −0.0840756 | + | 0.0719563i | ||||
\(831\) | − | 51.1397i | − | 1.77402i | ||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 9.55534 | − | 9.55534i | 0.331073 | − | 0.331073i | ||||
\(834\) | −5.36521 | + | 5.36521i | −0.185782 | + | 0.185782i | ||||
\(835\) | 5.04248 | + | 5.89176i | 0.174502 | + | 0.203893i | ||||
\(836\) | 42.0496i | 1.45432i | ||||||||
\(837\) | − | 3.53259i | − | 0.122104i | ||||||
\(838\) | 0.179187 | 0.00618993 | ||||||||
\(839\) | −17.2947 | − | 17.2947i | −0.597079 | − | 0.597079i | 0.342455 | − | 0.939534i | \(-0.388742\pi\) |
−0.939534 | + | 0.342455i | \(0.888742\pi\) | |||||||
\(840\) | −0.170388 | + | 2.19368i | −0.00587895 | + | 0.0756892i | ||||
\(841\) | −37.6525 | −1.29836 | ||||||||
\(842\) | 1.53369 | − | 1.53369i | 0.0528545 | − | 0.0528545i | ||||
\(843\) | − | 27.3273i | − | 0.941201i | ||||||
\(844\) | −41.2114 | −1.41856 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −6.98292 | −0.240078 | ||||||||
\(847\) | − | 3.09620i | − | 0.106387i | ||||||
\(848\) | −25.4775 | + | 25.4775i | −0.874902 | + | 0.874902i | ||||
\(849\) | 10.6323 | 0.364900 | ||||||||
\(850\) | 2.18939 | − | 1.59754i | 0.0750954 | − | 0.0547951i | ||||
\(851\) | −1.13821 | − | 1.13821i | −0.0390172 | − | 0.0390172i | ||||
\(852\) | −19.7996 | −0.678324 | ||||||||
\(853\) | − | 2.94669i | − | 0.100893i | −0.998727 | − | 0.0504464i | \(-0.983936\pi\) | ||
0.998727 | − | 0.0504464i | \(-0.0160644\pi\) | |||||||
\(854\) | 1.12967i | 0.0386565i | ||||||||
\(855\) | 2.24189 | − | 28.8635i | 0.0766711 | − | 0.987111i | ||||
\(856\) | −3.09075 | + | 3.09075i | −0.105640 | + | 0.105640i | ||||
\(857\) | −13.0632 | + | 13.0632i | −0.446229 | + | 0.446229i | −0.894099 | − | 0.447870i | \(-0.852183\pi\) |
0.447870 | + | 0.894099i | \(0.352183\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 3.08382i | − | 0.105219i | −0.998615 | − | 0.0526093i | \(-0.983246\pi\) | ||
0.998615 | − | 0.0526093i | \(-0.0167538\pi\) | |||||||
\(860\) | 2.27215 | − | 29.2530i | 0.0774795 | − | 0.997519i | ||||
\(861\) | −4.24841 | −0.144786 | ||||||||
\(862\) | −6.94703 | + | 6.94703i | −0.236617 | + | 0.236617i | ||||
\(863\) | 50.9818 | 1.73544 | 0.867720 | − | 0.497053i | \(-0.165585\pi\) | ||||
0.867720 | + | 0.497053i | \(0.165585\pi\) | |||||||
\(864\) | −2.17723 | + | 2.17723i | −0.0740708 | + | 0.0740708i | ||||
\(865\) | 0.677021 | − | 8.71639i | 0.0230194 | − | 0.296366i | ||||
\(866\) | −5.12611 | + | 5.12611i | −0.174192 | + | 0.174192i | ||||
\(867\) | 21.9050 | + | 21.9050i | 0.743934 | + | 0.743934i | ||||
\(868\) | −1.88874 | − | 1.88874i | −0.0641079 | − | 0.0641079i | ||||
\(869\) | 10.3289 | + | 10.3289i | 0.350382 | + | 0.350382i | ||||
\(870\) | 11.8194 | + | 0.918039i | 0.400715 | + | 0.0311244i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | −5.42366 | − | 5.42366i | −0.183668 | − | 0.183668i | ||||
\(873\) | 38.1110 | 1.28986 | ||||||||
\(874\) | − | 0.459326i | − | 0.0155369i | ||||||
\(875\) | −3.67371 | + | 2.26679i | −0.124194 | + | 0.0766316i | ||||
\(876\) | −19.5706 | − | 19.5706i | −0.661228 | − | 0.661228i | ||||
\(877\) | − | 26.7687i | − | 0.903916i | −0.892039 | − | 0.451958i | \(-0.850726\pi\) | ||
0.892039 | − | 0.451958i | \(-0.149274\pi\) | |||||||
\(878\) | 0.475240i | 0.0160386i | ||||||||
\(879\) | 21.8986 | + | 21.8986i | 0.738621 | + | 0.738621i | ||||
\(880\) | −34.5397 | − | 2.68277i | −1.16433 | − | 0.0904362i | ||||
\(881\) | − | 31.4805i | − | 1.06061i | −0.847808 | − | 0.530303i | \(-0.822078\pi\) | ||
0.847808 | − | 0.530303i | \(-0.177922\pi\) | |||||||
\(882\) | −4.86514 | −0.163818 | ||||||||
\(883\) | 27.3576 | + | 27.3576i | 0.920657 | + | 0.920657i | 0.997076 | − | 0.0764191i | \(-0.0243487\pi\) |
−0.0764191 | + | 0.997076i | \(0.524349\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −8.33941 | − | 9.74398i | −0.280326 | − | 0.327540i | ||||
\(886\) | 0.787978 | + | 0.787978i | 0.0264726 | + | 0.0264726i | ||||
\(887\) | −0.971214 | − | 0.971214i | −0.0326102 | − | 0.0326102i | 0.690614 | − | 0.723224i | \(-0.257341\pi\) |
−0.723224 | + | 0.690614i | \(0.757341\pi\) | |||||||
\(888\) | 8.69511 | + | 8.69511i | 0.291789 | + | 0.291789i | ||||
\(889\) | −3.11346 | + | 3.11346i | −0.104422 | + | 0.104422i | ||||
\(890\) | 3.06238 | + | 0.237862i | 0.102651 | + | 0.00797314i | ||||
\(891\) | −31.0677 | + | 31.0677i | −1.04081 | + | 1.04081i | ||||
\(892\) | −52.6068 | −1.76141 | ||||||||
\(893\) | −34.8361 | + | 34.8361i | −1.16575 | + | 1.16575i | ||||
\(894\) | 1.64459 | 0.0550032 | ||||||||
\(895\) | 9.44717 | + | 11.0383i | 0.315784 | + | 0.368971i | ||||
\(896\) | 3.08204i | 0.102964i | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 3.92294 | − | 3.92294i | 0.130910 | − | 0.130910i | ||||
\(899\) | −20.7521 | + | 20.7521i | −0.692122 | + | 0.692122i | ||||
\(900\) | 24.5674 | + | 3.83957i | 0.818914 | + | 0.127986i | ||||
\(901\) | − | 20.0051i | − | 0.666465i | ||||||
\(902\) | 5.58046i | 0.185809i | ||||||||
\(903\) | −6.22100 | −0.207022 | ||||||||
\(904\) | −3.03083 | − | 3.03083i | −0.100804 | − | 0.100804i | ||||
\(905\) | −20.3597 | + | 17.4249i | −0.676779 | + | 0.579223i | ||||
\(906\) | 2.37400 | 0.0788707 | ||||||||
\(907\) | −16.4640 | + | 16.4640i | −0.546679 | + | 0.546679i | −0.925479 | − | 0.378800i | \(-0.876337\pi\) |
0.378800 | + | 0.925479i | \(0.376337\pi\) | |||||||
\(908\) | 13.3316i | 0.442425i | ||||||||
\(909\) | −13.6430 | −0.452508 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 2.89704 | 0.0959832 | 0.0479916 | − | 0.998848i | \(-0.484718\pi\) | ||||
0.0479916 | + | 0.998848i | \(0.484718\pi\) | |||||||
\(912\) | − | 42.0607i | − | 1.39277i | ||||||
\(913\) | −15.9996 | + | 15.9996i | −0.529508 | + | 0.529508i | ||||
\(914\) | 4.06211 | 0.134363 | ||||||||
\(915\) | 56.0886 | + | 4.35653i | 1.85423 | + | 0.144022i | ||||
\(916\) | 8.79151 | + | 8.79151i | 0.290480 | + | 0.290480i | ||||
\(917\) | 8.05518 | 0.266006 | ||||||||
\(918\) | − | 0.532680i | − | 0.0175811i | ||||||
\(919\) | − | 16.6099i | − | 0.547909i | −0.961743 | − | 0.273955i | \(-0.911668\pi\) | ||
0.961743 | − | 0.273955i | \(-0.0883318\pi\) | |||||||
\(920\) | 0.802099 | + | 0.0623008i | 0.0264444 | + | 0.00205400i | ||||
\(921\) | 12.9573 | − | 12.9573i | 0.426958 | − | 0.426958i | ||||
\(922\) | 1.18028 | − | 1.18028i | 0.0388704 | − | 0.0388704i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 7.65756i | 0.251915i | ||||||||
\(925\) | −3.72523 | + | 23.8358i | −0.122485 | + | 0.783715i | ||||
\(926\) | −9.89717 | −0.325241 | ||||||||
\(927\) | −3.12685 | + | 3.12685i | −0.102699 | + | 0.102699i | ||||
\(928\) | 25.5801 | 0.839708 | ||||||||
\(929\) | −30.2829 | + | 30.2829i | −0.993548 | + | 0.993548i | −0.999979 | − | 0.00643095i | \(-0.997953\pi\) |
0.00643095 | + | 0.999979i | \(0.497953\pi\) | |||||||
\(930\) | 3.96578 | − | 3.39412i | 0.130043 | − | 0.111297i | ||||
\(931\) | −24.2710 | + | 24.2710i | −0.795451 | + | 0.795451i | ||||
\(932\) | 10.5668 | + | 10.5668i | 0.346128 | + | 0.346128i | ||||
\(933\) | 19.3881 | + | 19.3881i | 0.634737 | + | 0.634737i | ||||
\(934\) | 2.11315 | + | 2.11315i | 0.0691443 | + | 0.0691443i | ||||
\(935\) | 14.6136 | − | 12.5071i | 0.477916 | − | 0.409025i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 27.9881 | + | 27.9881i | 0.914331 | + | 0.914331i | 0.996609 | − | 0.0822783i | \(-0.0262196\pi\) |
−0.0822783 | + | 0.996609i | \(0.526220\pi\) | |||||||
\(938\) | 0.676514 | 0.0220890 | ||||||||
\(939\) | 33.9419i | 1.10765i | ||||||||
\(940\) | −27.5139 | − | 32.1480i | −0.897406 | − | 1.04855i | ||||
\(941\) | −4.15042 | − | 4.15042i | −0.135300 | − | 0.135300i | 0.636213 | − | 0.771513i | \(-0.280500\pi\) |
−0.771513 | + | 0.636213i | \(0.780500\pi\) | |||||||
\(942\) | − | 2.03667i | − | 0.0663584i | ||||||
\(943\) | 1.55339i | 0.0505854i | ||||||||
\(944\) | −6.09729 | − | 6.09729i | −0.198450 | − | 0.198450i | ||||
\(945\) | −0.0657011 | + | 0.845877i | −0.00213726 | + | 0.0275164i | ||||
\(946\) | 8.17153i | 0.265679i | ||||||||
\(947\) | −24.8598 | −0.807836 | −0.403918 | − | 0.914795i | \(-0.632352\pi\) | ||||
−0.403918 | + | 0.914795i | \(0.632352\pi\) | |||||||
\(948\) | −10.7708 | − | 10.7708i | −0.349820 | − | 0.349820i | ||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −5.56115 | + | 4.05783i | −0.180428 | + | 0.131653i | ||||
\(951\) | 36.3742 | + | 36.3742i | 1.17951 | + | 1.17951i | ||||
\(952\) | −0.580782 | − | 0.580782i | −0.0188233 | − | 0.0188233i | ||||
\(953\) | 23.1258 | + | 23.1258i | 0.749118 | + | 0.749118i | 0.974314 | − | 0.225196i | \(-0.0723022\pi\) |
−0.225196 | + | 0.974314i | \(0.572302\pi\) | |||||||
\(954\) | −5.09284 | + | 5.09284i | −0.164887 | + | 0.164887i | ||||
\(955\) | −7.55023 | − | 8.82189i | −0.244320 | − | 0.285470i | ||||
\(956\) | 16.0492 | − | 16.0492i | 0.519068 | − | 0.519068i | ||||
\(957\) | 84.1358 | 2.71973 | ||||||||
\(958\) | −1.78460 | + | 1.78460i | −0.0576580 | + | 0.0576580i | ||||
\(959\) | −0.0941897 | −0.00304154 | ||||||||
\(960\) | 32.8949 | + | 2.55502i | 1.06168 | + | 0.0824629i | ||||
\(961\) | − | 18.0777i | − | 0.583153i | ||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 7.40571 | − | 7.40571i | 0.238646 | − | 0.238646i | ||||
\(964\) | 1.98576 | − | 1.98576i | 0.0639569 | − | 0.0639569i | ||||
\(965\) | 11.3382 | − | 9.70384i | 0.364990 | − | 0.312378i | ||||
\(966\) | − | 0.0836467i | − | 0.00269129i | ||||||
\(967\) | 30.0090i | 0.965023i | 0.875890 | + | 0.482512i | \(0.160275\pi\) | ||||
−0.875890 | + | 0.482512i | \(0.839725\pi\) | |||||||
\(968\) | 8.64843 | 0.277971 | ||||||||
\(969\) | 16.5131 | + | 16.5131i | 0.530478 | + | 0.530478i | ||||
\(970\) | −5.89269 | − | 6.88518i | −0.189203 | − | 0.221070i | ||||
\(971\) | −6.27318 | −0.201316 | −0.100658 | − | 0.994921i | \(-0.532095\pi\) | ||||
−0.100658 | + | 0.994921i | \(0.532095\pi\) | |||||||
\(972\) | 28.3853 | − | 28.3853i | 0.910457 | − | 0.910457i | ||||
\(973\) | 4.51125i | 0.144624i | ||||||||
\(974\) | −7.07119 | −0.226575 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 37.8235 | 1.21070 | ||||||||
\(977\) | − | 15.5621i | − | 0.497876i | −0.968519 | − | 0.248938i | \(-0.919918\pi\) | ||
0.968519 | − | 0.248938i | \(-0.0800816\pi\) | |||||||
\(978\) | 6.80193 | − | 6.80193i | 0.217502 | − | 0.217502i | ||||
\(979\) | 21.7994 | 0.696712 | ||||||||
\(980\) | −19.1695 | − | 22.3982i | −0.612349 | − | 0.715484i | ||||
\(981\) | 12.9956 | + | 12.9956i | 0.414918 | + | 0.414918i | ||||
\(982\) | 3.62670 | 0.115733 | ||||||||
\(983\) | − | 53.4558i | − | 1.70498i | −0.522746 | − | 0.852488i | \(-0.675093\pi\) | ||
0.522746 | − | 0.852488i | \(-0.324907\pi\) | |||||||
\(984\) | − | 11.8668i | − | 0.378301i | ||||||
\(985\) | −33.2923 | + | 28.4932i | −1.06078 | + | 0.907870i | ||||
\(986\) | −3.12921 | + | 3.12921i | −0.0996545 | + | 0.0996545i | ||||
\(987\) | −6.34391 | + | 6.34391i | −0.201929 | + | 0.201929i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.27465i | 0.0723297i | ||||||||
\(990\) | −6.90431 | − | 0.536273i | −0.219433 | − | 0.0170439i | ||||
\(991\) | −23.6397 | −0.750940 | −0.375470 | − | 0.926835i | \(-0.622519\pi\) | ||||
−0.375470 | + | 0.926835i | \(0.622519\pi\) | |||||||
\(992\) | 7.96431 | − | 7.96431i | 0.252867 | − | 0.252867i | ||||
\(993\) | −46.3626 | −1.47127 | ||||||||
\(994\) | 0.326652 | − | 0.326652i | 0.0103608 | − | 0.0103608i | ||||
\(995\) | 21.3818 | + | 24.9831i | 0.677850 | + | 0.792018i | ||||
\(996\) | 16.6842 | − | 16.6842i | 0.528658 | − | 0.528658i | ||||
\(997\) | 36.5771 | + | 36.5771i | 1.15841 | + | 1.15841i | 0.984818 | + | 0.173591i | \(0.0555370\pi\) |
0.173591 | + | 0.984818i | \(0.444463\pi\) | |||||||
\(998\) | 4.60806 | + | 4.60806i | 0.145866 | + | 0.145866i | ||||
\(999\) | 3.35281 | + | 3.35281i | 0.106078 | + | 0.106078i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))