Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [361,2,Mod(28,361)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(361, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("361.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 361 = 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 361.e (of order \(9\), degree \(6\), not 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: | \(2.88259951297\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 234.1 | ||
Root | \(0.939693 + 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 361.234 |
Dual form | 361.2.e.f.54.1 |
$q$-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 \(\left(\mathbb{Z}/361\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.673648 | − | 0.565258i | 0.476341 | − | 0.399698i | −0.372760 | − | 0.927928i | \(-0.621589\pi\) |
0.849101 | + | 0.528230i | \(0.177144\pi\) | |||||||
\(3\) | −0.500000 | − | 0.181985i | −0.288675 | − | 0.105069i | 0.193624 | − | 0.981076i | \(-0.437976\pi\) |
−0.482299 | + | 0.876007i | \(0.660198\pi\) | |||||||
\(4\) | −0.213011 | + | 1.20805i | −0.106506 | + | 0.604023i | ||||
\(5\) | −0.439693 | − | 2.49362i | −0.196637 | − | 1.11518i | −0.910069 | − | 0.414457i | \(-0.863972\pi\) |
0.713432 | − | 0.700724i | \(-0.247140\pi\) | |||||||
\(6\) | −0.439693 | + | 0.160035i | −0.179504 | + | 0.0653340i | ||||
\(7\) | 0.939693 | − | 1.62760i | 0.355170 | − | 0.615173i | −0.631977 | − | 0.774987i | \(-0.717756\pi\) |
0.987147 | + | 0.159814i | \(0.0510895\pi\) | |||||||
\(8\) | 1.41875 | + | 2.45734i | 0.501603 | + | 0.868802i | ||||
\(9\) | −2.08125 | − | 1.74638i | −0.693751 | − | 0.582126i | ||||
\(10\) | −1.70574 | − | 1.43128i | −0.539401 | − | 0.452612i | ||||
\(11\) | −1.70574 | − | 2.95442i | −0.514299 | − | 0.890792i | −0.999862 | − | 0.0165906i | \(-0.994719\pi\) |
0.485563 | − | 0.874202i | \(-0.338615\pi\) | |||||||
\(12\) | 0.326352 | − | 0.565258i | 0.0942097 | − | 0.163176i | ||||
\(13\) | 4.97178 | − | 1.80958i | 1.37892 | − | 0.501887i | 0.457072 | − | 0.889430i | \(-0.348898\pi\) |
0.921852 | + | 0.387542i | \(0.126676\pi\) | |||||||
\(14\) | −0.286989 | − | 1.62760i | −0.0767010 | − | 0.434993i | ||||
\(15\) | −0.233956 | + | 1.32683i | −0.0604071 | + | 0.342585i | ||||
\(16\) | 0.0393628 | + | 0.0143269i | 0.00984071 | + | 0.00358173i | ||||
\(17\) | 1.26604 | − | 1.06234i | 0.307061 | − | 0.257655i | −0.476215 | − | 0.879329i | \(-0.657992\pi\) |
0.783276 | + | 0.621674i | \(0.213547\pi\) | |||||||
\(18\) | −2.38919 | −0.563136 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 3.10607 | 0.694538 | ||||||||
\(21\) | −0.766044 | + | 0.642788i | −0.167165 | + | 0.140268i | ||||
\(22\) | −2.81908 | − | 1.02606i | −0.601029 | − | 0.218757i | ||||
\(23\) | 0.305407 | − | 1.73205i | 0.0636818 | − | 0.361158i | −0.936269 | − | 0.351283i | \(-0.885746\pi\) |
0.999951 | − | 0.00987481i | \(-0.00314330\pi\) | |||||||
\(24\) | −0.262174 | − | 1.48686i | −0.0535161 | − | 0.303505i | ||||
\(25\) | −1.32635 | + | 0.482753i | −0.265270 | + | 0.0965505i | ||||
\(26\) | 2.32635 | − | 4.02936i | 0.456235 | − | 0.790222i | ||||
\(27\) | 1.52094 | + | 2.63435i | 0.292706 | + | 0.506982i | ||||
\(28\) | 1.76604 | + | 1.48189i | 0.333751 | + | 0.280050i | ||||
\(29\) | −2.65657 | − | 2.22913i | −0.493313 | − | 0.413939i | 0.361899 | − | 0.932217i | \(-0.382129\pi\) |
−0.855212 | + | 0.518278i | \(0.826573\pi\) | |||||||
\(30\) | 0.592396 | + | 1.02606i | 0.108156 | + | 0.187332i | ||||
\(31\) | −0.971782 | + | 1.68317i | −0.174537 | + | 0.302307i | −0.940001 | − | 0.341172i | \(-0.889176\pi\) |
0.765464 | + | 0.643479i | \(0.222510\pi\) | |||||||
\(32\) | −5.29813 | + | 1.92836i | −0.936587 | + | 0.340890i | ||||
\(33\) | 0.315207 | + | 1.78763i | 0.0548706 | + | 0.311187i | ||||
\(34\) | 0.252374 | − | 1.43128i | 0.0432818 | − | 0.245463i | ||||
\(35\) | −4.47178 | − | 1.62760i | −0.755869 | − | 0.275114i | ||||
\(36\) | 2.55303 | − | 2.14225i | 0.425506 | − | 0.357042i | ||||
\(37\) | −0.837496 | −0.137684 | −0.0688418 | − | 0.997628i | \(-0.521930\pi\) | ||||
−0.0688418 | + | 0.997628i | \(0.521930\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.81521 | −0.450794 | ||||||||
\(40\) | 5.50387 | − | 4.61830i | 0.870238 | − | 0.730217i | ||||
\(41\) | 4.21941 | + | 1.53574i | 0.658961 | + | 0.239842i | 0.649788 | − | 0.760116i | \(-0.274858\pi\) |
0.00917315 | + | 0.999958i | \(0.497080\pi\) | |||||||
\(42\) | −0.152704 | + | 0.866025i | −0.0235627 | + | 0.133631i | ||||
\(43\) | 0.833626 | + | 4.72773i | 0.127127 | + | 0.720972i | 0.980022 | + | 0.198889i | \(0.0637335\pi\) |
−0.852895 | + | 0.522082i | \(0.825155\pi\) | |||||||
\(44\) | 3.93242 | − | 1.43128i | 0.592834 | − | 0.215774i | ||||
\(45\) | −3.43969 | + | 5.95772i | −0.512759 | + | 0.888125i | ||||
\(46\) | −0.773318 | − | 1.33943i | −0.114020 | − | 0.197488i | ||||
\(47\) | 0.549163 | + | 0.460802i | 0.0801037 | + | 0.0672150i | 0.681960 | − | 0.731389i | \(-0.261128\pi\) |
−0.601857 | + | 0.798604i | \(0.705572\pi\) | |||||||
\(48\) | −0.0170741 | − | 0.0143269i | −0.00246444 | − | 0.00206791i | ||||
\(49\) | 1.73396 | + | 3.00330i | 0.247708 | + | 0.429043i | ||||
\(50\) | −0.620615 | + | 1.07494i | −0.0877682 | + | 0.152019i | ||||
\(51\) | −0.826352 | + | 0.300767i | −0.115712 | + | 0.0421159i | ||||
\(52\) | 1.12701 | + | 6.39160i | 0.156288 | + | 0.886355i | ||||
\(53\) | −1.06031 | + | 6.01330i | −0.145644 | + | 0.825991i | 0.821203 | + | 0.570636i | \(0.193303\pi\) |
−0.966847 | + | 0.255354i | \(0.917808\pi\) | |||||||
\(54\) | 2.51367 | + | 0.914901i | 0.342067 | + | 0.124502i | ||||
\(55\) | −6.61721 | + | 5.55250i | −0.892265 | + | 0.748699i | ||||
\(56\) | 5.33275 | 0.712618 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.04963 | −0.400436 | ||||||||
\(59\) | −8.24170 | + | 6.91560i | −1.07298 | + | 0.900335i | −0.995319 | − | 0.0966450i | \(-0.969189\pi\) |
−0.0776586 | + | 0.996980i | \(0.524744\pi\) | |||||||
\(60\) | −1.55303 | − | 0.565258i | −0.200496 | − | 0.0729745i | ||||
\(61\) | 0.762174 | − | 4.32250i | 0.0975864 | − | 0.553440i | −0.896338 | − | 0.443372i | \(-0.853782\pi\) |
0.993924 | − | 0.110068i | \(-0.0351068\pi\) | |||||||
\(62\) | 0.296789 | + | 1.68317i | 0.0376923 | + | 0.213763i | ||||
\(63\) | −4.79813 | + | 1.74638i | −0.604508 | + | 0.220023i | ||||
\(64\) | −2.52094 | + | 4.36640i | −0.315118 | + | 0.545801i | ||||
\(65\) | −6.69846 | − | 11.6021i | −0.830842 | − | 1.43906i | ||||
\(66\) | 1.22281 | + | 1.02606i | 0.150518 | + | 0.126299i | ||||
\(67\) | 10.8871 | + | 9.13538i | 1.33007 | + | 1.11606i | 0.984060 | + | 0.177835i | \(0.0569094\pi\) |
0.346014 | + | 0.938229i | \(0.387535\pi\) | |||||||
\(68\) | 1.01367 | + | 1.75573i | 0.122926 | + | 0.212913i | ||||
\(69\) | −0.467911 | + | 0.810446i | −0.0563299 | + | 0.0975662i | ||||
\(70\) | −3.93242 | + | 1.43128i | −0.470014 | + | 0.171071i | ||||
\(71\) | −2.38919 | − | 13.5497i | −0.283544 | − | 1.60806i | −0.710440 | − | 0.703758i | \(-0.751504\pi\) |
0.426896 | − | 0.904301i | \(-0.359607\pi\) | |||||||
\(72\) | 1.33868 | − | 7.59202i | 0.157765 | − | 0.894728i | ||||
\(73\) | 7.06418 | + | 2.57115i | 0.826799 | + | 0.300930i | 0.720545 | − | 0.693409i | \(-0.243892\pi\) |
0.106255 | + | 0.994339i | \(0.466114\pi\) | |||||||
\(74\) | −0.564178 | + | 0.473401i | −0.0655843 | + | 0.0550318i | ||||
\(75\) | 0.751030 | 0.0867214 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −6.41147 | −0.730655 | ||||||||
\(78\) | −1.89646 | + | 1.59132i | −0.214732 | + | 0.180181i | ||||
\(79\) | 6.54323 | + | 2.38154i | 0.736171 | + | 0.267944i | 0.682775 | − | 0.730629i | \(-0.260773\pi\) |
0.0533965 | + | 0.998573i | \(0.482995\pi\) | |||||||
\(80\) | 0.0184183 | − | 0.104455i | 0.00205923 | − | 0.0116785i | ||||
\(81\) | 1.13429 | + | 6.43285i | 0.126032 | + | 0.714761i | ||||
\(82\) | 3.71048 | − | 1.35051i | 0.409754 | − | 0.149138i | ||||
\(83\) | −1.25624 | + | 2.17588i | −0.137891 | + | 0.238834i | −0.926698 | − | 0.375807i | \(-0.877366\pi\) |
0.788807 | + | 0.614641i | \(0.210699\pi\) | |||||||
\(84\) | −0.613341 | − | 1.06234i | −0.0669210 | − | 0.115911i | ||||
\(85\) | −3.20574 | − | 2.68993i | −0.347711 | − | 0.291764i | ||||
\(86\) | 3.23396 | + | 2.71361i | 0.348726 | + | 0.292616i | ||||
\(87\) | 0.922618 | + | 1.59802i | 0.0989151 | + | 0.171326i | ||||
\(88\) | 4.84002 | − | 8.38316i | 0.515948 | − | 0.893648i | ||||
\(89\) | 2.14543 | − | 0.780873i | 0.227415 | − | 0.0827723i | −0.225799 | − | 0.974174i | \(-0.572499\pi\) |
0.453214 | + | 0.891401i | \(0.350277\pi\) | |||||||
\(90\) | 1.05051 | + | 5.95772i | 0.110733 | + | 0.627999i | ||||
\(91\) | 1.72668 | − | 9.79250i | 0.181005 | − | 1.02653i | ||||
\(92\) | 2.02734 | + | 0.737892i | 0.211365 | + | 0.0769305i | ||||
\(93\) | 0.792204 | − | 0.664738i | 0.0821477 | − | 0.0689301i | ||||
\(94\) | 0.630415 | 0.0650223 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.00000 | 0.306186 | ||||||||
\(97\) | −1.39646 | + | 1.17177i | −0.141789 | + | 0.118975i | −0.710924 | − | 0.703269i | \(-0.751723\pi\) |
0.569135 | + | 0.822244i | \(0.307278\pi\) | |||||||
\(98\) | 2.86571 | + | 1.04303i | 0.289481 | + | 0.105362i | ||||
\(99\) | −1.60947 | + | 9.12776i | −0.161758 | + | 0.917374i | ||||
\(100\) | −0.300660 | − | 1.70513i | −0.0300660 | − | 0.170513i | ||||
\(101\) | 7.44356 | − | 2.70924i | 0.740662 | − | 0.269579i | 0.0559912 | − | 0.998431i | \(-0.482168\pi\) |
0.684671 | + | 0.728852i | \(0.259946\pi\) | |||||||
\(102\) | −0.386659 | + | 0.669713i | −0.0382850 | + | 0.0663115i | ||||
\(103\) | 0.00727396 | + | 0.0125989i | 0.000716725 | + | 0.00124140i | 0.866384 | − | 0.499379i | \(-0.166439\pi\) |
−0.865667 | + | 0.500621i | \(0.833105\pi\) | |||||||
\(104\) | 11.5005 | + | 9.65004i | 1.12771 | + | 0.946264i | ||||
\(105\) | 1.93969 | + | 1.62760i | 0.189295 | + | 0.158837i | ||||
\(106\) | 2.68479 | + | 4.65020i | 0.260770 | + | 0.451667i | ||||
\(107\) | 1.77719 | − | 3.07818i | 0.171807 | − | 0.297579i | −0.767244 | − | 0.641355i | \(-0.778373\pi\) |
0.939052 | + | 0.343776i | \(0.111706\pi\) | |||||||
\(108\) | −3.50640 | + | 1.27622i | −0.337403 | + | 0.122805i | ||||
\(109\) | 1.27972 | + | 7.25762i | 0.122574 | + | 0.695154i | 0.982719 | + | 0.185104i | \(0.0592622\pi\) |
−0.860144 | + | 0.510050i | \(0.829627\pi\) | |||||||
\(110\) | −1.31908 | + | 7.48086i | −0.125769 | + | 0.713272i | ||||
\(111\) | 0.418748 | + | 0.152412i | 0.0397458 | + | 0.0144663i | ||||
\(112\) | 0.0603074 | − | 0.0506039i | 0.00569851 | − | 0.00478162i | ||||
\(113\) | 7.37733 | 0.694000 | 0.347000 | − | 0.937865i | \(-0.387200\pi\) | ||||
0.347000 | + | 0.937865i | \(0.387200\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.45336 | −0.415278 | ||||||||
\(116\) | 3.25877 | − | 2.73443i | 0.302569 | − | 0.253886i | ||||
\(117\) | −13.5077 | − | 4.91642i | −1.24879 | − | 0.454523i | ||||
\(118\) | −1.64290 | + | 9.31737i | −0.151242 | + | 0.857733i | ||||
\(119\) | −0.539363 | − | 3.05888i | −0.0494433 | − | 0.280407i | ||||
\(120\) | −3.59240 | + | 1.30753i | −0.327939 | + | 0.119360i | ||||
\(121\) | −0.319078 | + | 0.552659i | −0.0290071 | + | 0.0502417i | ||||
\(122\) | −1.92989 | − | 3.34267i | −0.174724 | − | 0.302631i | ||||
\(123\) | −1.83022 | − | 1.53574i | −0.165026 | − | 0.138473i | ||||
\(124\) | −1.82635 | − | 1.53249i | −0.164011 | − | 0.137622i | ||||
\(125\) | −4.54323 | − | 7.86911i | −0.406359 | − | 0.703835i | ||||
\(126\) | −2.24510 | + | 3.88863i | −0.200009 | + | 0.346426i | ||||
\(127\) | 0.0949225 | − | 0.0345490i | 0.00842301 | − | 0.00306572i | −0.337805 | − | 0.941216i | \(-0.609685\pi\) |
0.346228 | + | 0.938150i | \(0.387462\pi\) | |||||||
\(128\) | −1.18820 | − | 6.73859i | −0.105023 | − | 0.595613i | ||||
\(129\) | 0.443563 | − | 2.51557i | 0.0390535 | − | 0.221484i | ||||
\(130\) | −11.0706 | − | 4.02936i | −0.970954 | − | 0.353398i | ||||
\(131\) | −2.32635 | + | 1.95204i | −0.203254 | + | 0.170551i | −0.738733 | − | 0.673998i | \(-0.764576\pi\) |
0.535479 | + | 0.844549i | \(0.320131\pi\) | |||||||
\(132\) | −2.22668 | −0.193808 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 12.4979 | 1.07966 | ||||||||
\(135\) | 5.90033 | − | 4.95096i | 0.507820 | − | 0.426111i | ||||
\(136\) | 4.40673 | + | 1.60392i | 0.377874 | + | 0.137535i | ||||
\(137\) | 3.39306 | − | 19.2430i | 0.289888 | − | 1.64404i | −0.397394 | − | 0.917648i | \(-0.630085\pi\) |
0.687282 | − | 0.726390i | \(-0.258803\pi\) | |||||||
\(138\) | 0.142903 | + | 0.810446i | 0.0121648 | + | 0.0689897i | ||||
\(139\) | −14.4684 | + | 5.26606i | −1.22719 | + | 0.446661i | −0.872635 | − | 0.488373i | \(-0.837591\pi\) |
−0.354557 | + | 0.935034i | \(0.615368\pi\) | |||||||
\(140\) | 2.91875 | − | 5.05542i | 0.246679 | − | 0.427261i | ||||
\(141\) | −0.190722 | − | 0.330341i | −0.0160617 | − | 0.0278197i | ||||
\(142\) | −9.26857 | − | 7.77725i | −0.777801 | − | 0.652653i | ||||
\(143\) | −13.8268 | − | 11.6021i | −1.15626 | − | 0.970215i | ||||
\(144\) | −0.0569038 | − | 0.0985603i | −0.00474198 | − | 0.00821336i | ||||
\(145\) | −4.39053 | + | 7.60462i | −0.364614 | + | 0.631529i | ||||
\(146\) | 6.21213 | − | 2.26103i | 0.514120 | − | 0.187124i | ||||
\(147\) | −0.320422 | − | 1.81720i | −0.0264280 | − | 0.149880i | ||||
\(148\) | 0.178396 | − | 1.01173i | 0.0146641 | − | 0.0831640i | ||||
\(149\) | 3.53936 | + | 1.28822i | 0.289956 | + | 0.105535i | 0.482903 | − | 0.875674i | \(-0.339582\pi\) |
−0.192947 | + | 0.981209i | \(0.561805\pi\) | |||||||
\(150\) | 0.505930 | − | 0.424525i | 0.0413090 | − | 0.0346624i | ||||
\(151\) | −14.5963 | −1.18783 | −0.593914 | − | 0.804529i | \(-0.702418\pi\) | ||||
−0.593914 | + | 0.804529i | \(0.702418\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −4.49020 | −0.363011 | ||||||||
\(154\) | −4.31908 | + | 3.62414i | −0.348041 | + | 0.292041i | ||||
\(155\) | 4.62449 | + | 1.68317i | 0.371448 | + | 0.135196i | ||||
\(156\) | 0.599670 | − | 3.40090i | 0.0480120 | − | 0.272290i | ||||
\(157\) | −1.80154 | − | 10.2170i | −0.143778 | − | 0.815407i | −0.968340 | − | 0.249635i | \(-0.919689\pi\) |
0.824562 | − | 0.565772i | \(-0.191422\pi\) | |||||||
\(158\) | 5.75402 | − | 2.09429i | 0.457765 | − | 0.166613i | ||||
\(159\) | 1.62449 | − | 2.81369i | 0.128830 | − | 0.223140i | ||||
\(160\) | 7.13816 | + | 12.3636i | 0.564321 | + | 0.977432i | ||||
\(161\) | −2.53209 | − | 2.12467i | −0.199557 | − | 0.167448i | ||||
\(162\) | 4.40033 | + | 3.69232i | 0.345723 | + | 0.290096i | ||||
\(163\) | 1.01114 | + | 1.75135i | 0.0791989 | + | 0.137177i | 0.902905 | − | 0.429841i | \(-0.141430\pi\) |
−0.823706 | + | 0.567018i | \(0.808097\pi\) | |||||||
\(164\) | −2.75402 | + | 4.77011i | −0.215053 | + | 0.372483i | ||||
\(165\) | 4.31908 | − | 1.57202i | 0.336240 | − | 0.122381i | ||||
\(166\) | 0.383666 | + | 2.17588i | 0.0297783 | + | 0.168881i | ||||
\(167\) | −4.03849 | + | 22.9034i | −0.312507 | + | 1.77232i | 0.273361 | + | 0.961911i | \(0.411865\pi\) |
−0.585869 | + | 0.810406i | \(0.699247\pi\) | |||||||
\(168\) | −2.66637 | − | 0.970481i | −0.205715 | − | 0.0748742i | ||||
\(169\) | 11.4855 | − | 9.63744i | 0.883496 | − | 0.741341i | ||||
\(170\) | −3.68004 | −0.282247 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.88888 | −0.449023 | ||||||||
\(173\) | 0.686852 | − | 0.576337i | 0.0522204 | − | 0.0438181i | −0.616304 | − | 0.787508i | \(-0.711371\pi\) |
0.668524 | + | 0.743690i | \(0.266926\pi\) | |||||||
\(174\) | 1.52481 | + | 0.554987i | 0.115596 | + | 0.0420735i | ||||
\(175\) | −0.460637 | + | 2.61240i | −0.0348209 | + | 0.197479i | ||||
\(176\) | −0.0248149 | − | 0.140732i | −0.00187050 | − | 0.0106081i | ||||
\(177\) | 5.37939 | − | 1.95794i | 0.404339 | − | 0.147167i | ||||
\(178\) | 1.00387 | − | 1.73875i | 0.0752433 | − | 0.130325i | ||||
\(179\) | 10.6591 | + | 18.4621i | 0.796699 | + | 1.37992i | 0.921755 | + | 0.387773i | \(0.126755\pi\) |
−0.125056 | + | 0.992150i | \(0.539911\pi\) | |||||||
\(180\) | −6.46451 | − | 5.42437i | −0.481836 | − | 0.404308i | ||||
\(181\) | −12.3327 | − | 10.3484i | −0.916686 | − | 0.769191i | 0.0566932 | − | 0.998392i | \(-0.481944\pi\) |
−0.973379 | + | 0.229201i | \(0.926389\pi\) | |||||||
\(182\) | −4.37211 | − | 7.57272i | −0.324082 | − | 0.561327i | ||||
\(183\) | −1.16772 | + | 2.02255i | −0.0863202 | + | 0.149511i | ||||
\(184\) | 4.68954 | − | 1.70685i | 0.345717 | − | 0.125831i | ||||
\(185\) | 0.368241 | + | 2.08840i | 0.0270736 | + | 0.153542i | ||||
\(186\) | 0.157918 | − | 0.895599i | 0.0115791 | − | 0.0656685i | ||||
\(187\) | −5.29813 | − | 1.92836i | −0.387438 | − | 0.141016i | ||||
\(188\) | −0.673648 | + | 0.565258i | −0.0491308 | + | 0.0412257i | ||||
\(189\) | 5.71688 | 0.415842 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 18.9486 | 1.37107 | 0.685537 | − | 0.728038i | \(-0.259568\pi\) | ||||
0.685537 | + | 0.728038i | \(0.259568\pi\) | |||||||
\(192\) | 2.05509 | − | 1.72443i | 0.148314 | − | 0.124450i | ||||
\(193\) | −12.1236 | − | 4.41263i | −0.872676 | − | 0.317628i | −0.133426 | − | 0.991059i | \(-0.542598\pi\) |
−0.739250 | + | 0.673431i | \(0.764820\pi\) | |||||||
\(194\) | −0.278371 | + | 1.57872i | −0.0199859 | + | 0.113345i | ||||
\(195\) | 1.23783 | + | 7.02006i | 0.0886426 | + | 0.502717i | ||||
\(196\) | −3.99747 | + | 1.45496i | −0.285534 | + | 0.103926i | ||||
\(197\) | 11.6001 | − | 20.0920i | 0.826476 | − | 1.43150i | −0.0743108 | − | 0.997235i | \(-0.523676\pi\) |
0.900786 | − | 0.434263i | \(-0.142991\pi\) | |||||||
\(198\) | 4.07532 | + | 7.05866i | 0.289621 | + | 0.501637i | ||||
\(199\) | 7.06418 | + | 5.92755i | 0.500766 | + | 0.420193i | 0.857866 | − | 0.513873i | \(-0.171790\pi\) |
−0.357100 | + | 0.934066i | \(0.616234\pi\) | |||||||
\(200\) | −3.06805 | − | 2.57440i | −0.216944 | − | 0.182037i | ||||
\(201\) | −3.78106 | − | 6.54899i | −0.266695 | − | 0.461930i | ||||
\(202\) | 3.48293 | − | 6.03260i | 0.245058 | − | 0.424453i | ||||
\(203\) | −6.12449 | + | 2.22913i | −0.429855 | + | 0.156454i | ||||
\(204\) | −0.187319 | − | 1.06234i | −0.0131149 | − | 0.0743785i | ||||
\(205\) | 1.97431 | − | 11.1969i | 0.137892 | − | 0.782022i | ||||
\(206\) | 0.0120217 | + | 0.00437554i | 0.000837592 | + | 0.000304858i | ||||
\(207\) | −3.66044 | + | 3.07148i | −0.254418 | + | 0.213482i | ||||
\(208\) | 0.221629 | 0.0153672 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 2.22668 | 0.153656 | ||||||||
\(211\) | 11.2023 | − | 9.39987i | 0.771200 | − | 0.647114i | −0.169816 | − | 0.985476i | \(-0.554317\pi\) |
0.941016 | + | 0.338362i | \(0.109873\pi\) | |||||||
\(212\) | −7.03849 | − | 2.56180i | −0.483405 | − | 0.175945i | ||||
\(213\) | −1.27126 | + | 7.20967i | −0.0871052 | + | 0.493998i | ||||
\(214\) | −0.542766 | − | 3.07818i | −0.0371027 | − | 0.210420i | ||||
\(215\) | 11.4226 | − | 4.15749i | 0.779016 | − | 0.283539i | ||||
\(216\) | −4.31567 | + | 7.47497i | −0.293644 | + | 0.508607i | ||||
\(217\) | 1.82635 | + | 3.16333i | 0.123981 | + | 0.214741i | ||||
\(218\) | 4.96451 | + | 4.16572i | 0.336239 | + | 0.282138i | ||||
\(219\) | −3.06418 | − | 2.57115i | −0.207058 | − | 0.173742i | ||||
\(220\) | −5.29813 | − | 9.17664i | −0.357200 | − | 0.618689i | ||||
\(221\) | 4.37211 | − | 7.57272i | 0.294100 | − | 0.509396i | ||||
\(222\) | 0.368241 | − | 0.134029i | 0.0247147 | − | 0.00899542i | ||||
\(223\) | −0.523471 | − | 2.96875i | −0.0350542 | − | 0.198802i | 0.962251 | − | 0.272162i | \(-0.0877388\pi\) |
−0.997306 | + | 0.0733603i | \(0.976628\pi\) | |||||||
\(224\) | −1.84002 | + | 10.4353i | −0.122942 | + | 0.697237i | ||||
\(225\) | 3.60354 | + | 1.31158i | 0.240236 | + | 0.0874388i | ||||
\(226\) | 4.96972 | − | 4.17009i | 0.330581 | − | 0.277390i | ||||
\(227\) | −13.7219 | −0.910757 | −0.455378 | − | 0.890298i | \(-0.650496\pi\) | ||||
−0.455378 | + | 0.890298i | \(0.650496\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.41416 | 0.622105 | 0.311053 | − | 0.950393i | \(-0.399318\pi\) | ||||
0.311053 | + | 0.950393i | \(0.399318\pi\) | |||||||
\(230\) | −3.00000 | + | 2.51730i | −0.197814 | + | 0.165986i | ||||
\(231\) | 3.20574 | + | 1.16679i | 0.210922 | + | 0.0767693i | ||||
\(232\) | 1.70873 | − | 9.69069i | 0.112184 | − | 0.636225i | ||||
\(233\) | −4.19981 | − | 23.8183i | −0.275139 | − | 1.56039i | −0.738521 | − | 0.674230i | \(-0.764476\pi\) |
0.463383 | − | 0.886158i | \(-0.346635\pi\) | |||||||
\(234\) | −11.8785 | + | 4.32342i | −0.776522 | + | 0.282631i | ||||
\(235\) | 0.907604 | − | 1.57202i | 0.0592055 | − | 0.102547i | ||||
\(236\) | −6.59879 | − | 11.4294i | −0.429545 | − | 0.743993i | ||||
\(237\) | −2.83821 | − | 2.38154i | −0.184362 | − | 0.154698i | ||||
\(238\) | −2.09240 | − | 1.75573i | −0.135630 | − | 0.113807i | ||||
\(239\) | 11.6630 | + | 20.2009i | 0.754415 | + | 1.30668i | 0.945665 | + | 0.325143i | \(0.105413\pi\) |
−0.191250 | + | 0.981541i | \(0.561254\pi\) | |||||||
\(240\) | −0.0282185 | + | 0.0488759i | −0.00182150 | + | 0.00315492i | ||||
\(241\) | −0.279715 | + | 0.101808i | −0.0180180 | + | 0.00655803i | −0.351013 | − | 0.936370i | \(-0.614163\pi\) |
0.332995 | + | 0.942928i | \(0.391941\pi\) | |||||||
\(242\) | 0.0974487 | + | 0.552659i | 0.00626424 | + | 0.0355263i | ||||
\(243\) | 2.18820 | − | 12.4099i | 0.140373 | − | 0.796094i | ||||
\(244\) | 5.05943 | + | 1.84148i | 0.323897 | + | 0.117889i | ||||
\(245\) | 6.72668 | − | 5.64436i | 0.429752 | − | 0.360605i | ||||
\(246\) | −2.10101 | −0.133956 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −5.51485 | −0.350193 | ||||||||
\(249\) | 1.02410 | − | 0.859322i | 0.0648997 | − | 0.0544573i | ||||
\(250\) | −7.50862 | − | 2.73291i | −0.474887 | − | 0.172845i | ||||
\(251\) | −2.81268 | + | 15.9515i | −0.177535 | + | 1.00685i | 0.757642 | + | 0.652670i | \(0.226351\pi\) |
−0.935177 | + | 0.354180i | \(0.884760\pi\) | |||||||
\(252\) | −1.08765 | − | 6.16836i | −0.0685154 | − | 0.388570i | ||||
\(253\) | −5.63816 | + | 2.05212i | −0.354468 | + | 0.129016i | ||||
\(254\) | 0.0444153 | − | 0.0769295i | 0.00278686 | − | 0.00482699i | ||||
\(255\) | 1.11334 | + | 1.92836i | 0.0697201 | + | 0.120759i | ||||
\(256\) | −12.3341 | − | 10.3495i | −0.770881 | − | 0.646846i | ||||
\(257\) | 11.7626 | + | 9.87003i | 0.733733 | + | 0.615675i | 0.931147 | − | 0.364645i | \(-0.118810\pi\) |
−0.197413 | + | 0.980320i | \(0.563254\pi\) | |||||||
\(258\) | −1.12314 | − | 1.94534i | −0.0699237 | − | 0.121111i | ||||
\(259\) | −0.786989 | + | 1.36310i | −0.0489011 | + | 0.0846992i | ||||
\(260\) | 15.4427 | − | 5.62068i | 0.957715 | − | 0.348580i | ||||
\(261\) | 1.63610 | + | 9.27876i | 0.101272 | + | 0.574341i | ||||
\(262\) | −0.463736 | + | 2.62998i | −0.0286497 | + | 0.162481i | ||||
\(263\) | −9.06165 | − | 3.29817i | −0.558765 | − | 0.203374i | 0.0471713 | − | 0.998887i | \(-0.484979\pi\) |
−0.605937 | + | 0.795513i | \(0.707202\pi\) | |||||||
\(264\) | −3.94562 | + | 3.31077i | −0.242836 | + | 0.203764i | ||||
\(265\) | 15.4611 | 0.949768 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.21482 | −0.0743459 | ||||||||
\(268\) | −13.3550 | + | 11.2062i | −0.815789 | + | 0.684528i | ||||
\(269\) | 17.1766 | + | 6.25179i | 1.04728 | + | 0.381178i | 0.807635 | − | 0.589683i | \(-0.200747\pi\) |
0.239643 | + | 0.970861i | \(0.422969\pi\) | |||||||
\(270\) | 1.17617 | − | 6.67042i | 0.0715797 | − | 0.405949i | ||||
\(271\) | 3.29308 | + | 18.6760i | 0.200040 | + | 1.13449i | 0.905056 | + | 0.425293i | \(0.139829\pi\) |
−0.705015 | + | 0.709192i | \(0.749060\pi\) | |||||||
\(272\) | 0.0650551 | − | 0.0236781i | 0.00394455 | − | 0.00143570i | ||||
\(273\) | −2.64543 | + | 4.58202i | −0.160109 | + | 0.277316i | ||||
\(274\) | −8.59152 | − | 14.8809i | −0.519033 | − | 0.898991i | ||||
\(275\) | 3.68866 | + | 3.09516i | 0.222435 | + | 0.186645i | ||||
\(276\) | −0.879385 | − | 0.737892i | −0.0529328 | − | 0.0444159i | ||||
\(277\) | −6.88191 | − | 11.9198i | −0.413494 | − | 0.716193i | 0.581775 | − | 0.813350i | \(-0.302358\pi\) |
−0.995269 | + | 0.0971571i | \(0.969025\pi\) | |||||||
\(278\) | −6.76991 | + | 11.7258i | −0.406033 | + | 0.703269i | ||||
\(279\) | 4.96198 | − | 1.80601i | 0.297066 | − | 0.108123i | ||||
\(280\) | −2.34477 | − | 13.2979i | −0.140127 | − | 0.794699i | ||||
\(281\) | 2.27672 | − | 12.9119i | 0.135818 | − | 0.770261i | −0.838469 | − | 0.544949i | \(-0.816549\pi\) |
0.974287 | − | 0.225312i | \(-0.0723401\pi\) | |||||||
\(282\) | −0.315207 | − | 0.114726i | −0.0187703 | − | 0.00683184i | ||||
\(283\) | −13.3118 | + | 11.1699i | −0.791305 | + | 0.663983i | −0.946068 | − | 0.323968i | \(-0.894983\pi\) |
0.154763 | + | 0.987952i | \(0.450538\pi\) | |||||||
\(284\) | 16.8776 | 1.00150 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −15.8726 | −0.938565 | ||||||||
\(287\) | 6.46451 | − | 5.42437i | 0.381588 | − | 0.320190i | ||||
\(288\) | 14.3944 | + | 5.23913i | 0.848198 | + | 0.308719i | ||||
\(289\) | −2.47771 | + | 14.0518i | −0.145748 | + | 0.826576i | ||||
\(290\) | 1.34090 | + | 7.60462i | 0.0787403 | + | 0.446559i | ||||
\(291\) | 0.911474 | − | 0.331749i | 0.0534316 | − | 0.0194475i | ||||
\(292\) | −4.61081 | + | 7.98617i | −0.269828 | + | 0.467355i | ||||
\(293\) | −7.80200 | − | 13.5135i | −0.455798 | − | 0.789465i | 0.542936 | − | 0.839774i | \(-0.317313\pi\) |
−0.998734 | + | 0.0503091i | \(0.983979\pi\) | |||||||
\(294\) | −1.24304 | − | 1.04303i | −0.0724956 | − | 0.0608310i | ||||
\(295\) | 20.8687 | + | 17.5109i | 1.21502 | + | 1.01953i | ||||
\(296\) | −1.18820 | − | 2.05802i | −0.0690625 | − | 0.119620i | ||||
\(297\) | 5.18866 | − | 8.98703i | 0.301077 | − | 0.521480i | ||||
\(298\) | 3.11246 | − | 1.13284i | 0.180300 | − | 0.0656239i | ||||
\(299\) | −1.61587 | − | 9.16404i | −0.0934480 | − | 0.529970i | ||||
\(300\) | −0.159978 | + | 0.907278i | −0.00923631 | + | 0.0523817i | ||||
\(301\) | 8.47818 | + | 3.08580i | 0.488674 | + | 0.177863i | ||||
\(302\) | −9.83275 | + | 8.25066i | −0.565811 | + | 0.474772i | ||||
\(303\) | −4.21482 | −0.242135 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −11.1138 | −0.636375 | ||||||||
\(306\) | −3.02481 | + | 2.53812i | −0.172917 | + | 0.145095i | ||||
\(307\) | −20.2224 | − | 7.36035i | −1.15415 | − | 0.420077i | −0.307148 | − | 0.951662i | \(-0.599375\pi\) |
−0.847005 | + | 0.531584i | \(0.821597\pi\) | |||||||
\(308\) | 1.36571 | − | 7.74535i | 0.0778188 | − | 0.441332i | ||||
\(309\) | −0.00134417 | − | 0.00762319i | −7.64674e−5 | − | 0.000433668i | ||||
\(310\) | 4.06670 | − | 1.48016i | 0.230973 | − | 0.0840674i | ||||
\(311\) | −7.24763 | + | 12.5533i | −0.410975 | + | 0.711830i | −0.994997 | − | 0.0999083i | \(-0.968145\pi\) |
0.584021 | + | 0.811738i | \(0.301478\pi\) | |||||||
\(312\) | −3.99407 | − | 6.91793i | −0.226120 | − | 0.391651i | ||||
\(313\) | 14.9520 | + | 12.5462i | 0.845138 | + | 0.709155i | 0.958713 | − | 0.284374i | \(-0.0917859\pi\) |
−0.113575 | + | 0.993529i | \(0.536230\pi\) | |||||||
\(314\) | −6.98886 | − | 5.86435i | −0.394404 | − | 0.330944i | ||||
\(315\) | 6.46451 | + | 11.1969i | 0.364234 | + | 0.630871i | ||||
\(316\) | −4.27079 | + | 7.39723i | −0.240251 | + | 0.416127i | ||||
\(317\) | −26.6377 | + | 9.69535i | −1.49612 | + | 0.544545i | −0.955054 | − | 0.296432i | \(-0.904203\pi\) |
−0.541071 | + | 0.840977i | \(0.681981\pi\) | |||||||
\(318\) | −0.496130 | − | 2.81369i | −0.0278216 | − | 0.157784i | ||||
\(319\) | −2.05438 | + | 11.6510i | −0.115023 | + | 0.652328i | ||||
\(320\) | 11.9966 | + | 4.36640i | 0.670630 | + | 0.244089i | ||||
\(321\) | −1.44878 | + | 1.21567i | −0.0808629 | + | 0.0678520i | ||||
\(322\) | −2.90673 | −0.161986 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −8.01279 | −0.445155 | ||||||||
\(325\) | −5.72075 | + | 4.80028i | −0.317330 | + | 0.266272i | ||||
\(326\) | 1.67112 | + | 0.608239i | 0.0925549 | + | 0.0336872i | ||||
\(327\) | 0.680922 | − | 3.86170i | 0.0376551 | − | 0.213553i | ||||
\(328\) | 2.21244 | + | 12.5474i | 0.122161 | + | 0.692812i | ||||
\(329\) | 1.26604 | − | 0.460802i | 0.0697993 | − | 0.0254049i | ||||
\(330\) | 2.02094 | − | 3.50038i | 0.111249 | − | 0.192690i | ||||
\(331\) | 0.855037 | + | 1.48097i | 0.0469971 | + | 0.0814014i | 0.888567 | − | 0.458747i | \(-0.151702\pi\) |
−0.841570 | + | 0.540148i | \(0.818368\pi\) | |||||||
\(332\) | −2.36097 | − | 1.98109i | −0.129575 | − | 0.108726i | ||||
\(333\) | 1.74304 | + | 1.46258i | 0.0955180 | + | 0.0801491i | ||||
\(334\) | 10.2258 | + | 17.7116i | 0.559531 | + | 0.969136i | ||||
\(335\) | 17.9932 | − | 31.1651i | 0.983073 | − | 1.70273i | ||||
\(336\) | −0.0393628 | + | 0.0143269i | −0.00214742 | + | 0.000781597i | ||||
\(337\) | 4.41740 | + | 25.0523i | 0.240631 | + | 1.36469i | 0.830423 | + | 0.557133i | \(0.188099\pi\) |
−0.589792 | + | 0.807555i | \(0.700790\pi\) | |||||||
\(338\) | 2.28952 | − | 12.9845i | 0.124533 | − | 0.706263i | ||||
\(339\) | −3.68866 | − | 1.34256i | −0.200341 | − | 0.0729180i | ||||
\(340\) | 3.93242 | − | 3.29969i | 0.213265 | − | 0.178951i | ||||
\(341\) | 6.63041 | 0.359057 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 19.6732 | 1.06225 | ||||||||
\(344\) | −10.4349 | + | 8.75596i | −0.562615 | + | 0.472090i | ||||
\(345\) | 2.22668 | + | 0.810446i | 0.119881 | + | 0.0436329i | ||||
\(346\) | 0.136917 | − | 0.776497i | 0.00736072 | − | 0.0417447i | ||||
\(347\) | 1.33750 | + | 7.58532i | 0.0718006 | + | 0.407201i | 0.999432 | + | 0.0337040i | \(0.0107303\pi\) |
−0.927631 | + | 0.373497i | \(0.878159\pi\) | |||||||
\(348\) | −2.12701 | + | 0.774169i | −0.114020 | + | 0.0414998i | ||||
\(349\) | −11.3785 | + | 19.7082i | −0.609078 | + | 1.05495i | 0.382315 | + | 0.924032i | \(0.375127\pi\) |
−0.991393 | + | 0.130921i | \(0.958206\pi\) | |||||||
\(350\) | 1.16637 | + | 2.02022i | 0.0623453 | + | 0.107985i | ||||
\(351\) | 12.3289 | + | 10.3452i | 0.658067 | + | 0.552184i | ||||
\(352\) | 14.7344 | + | 12.3636i | 0.785347 | + | 0.658985i | ||||
\(353\) | 5.72281 | + | 9.91220i | 0.304595 | + | 0.527573i | 0.977171 | − | 0.212454i | \(-0.0681457\pi\) |
−0.672576 | + | 0.740028i | \(0.734812\pi\) | |||||||
\(354\) | 2.51707 | − | 4.35970i | 0.133781 | − | 0.231715i | ||||
\(355\) | −32.7374 | + | 11.9154i | −1.73752 | + | 0.632406i | ||||
\(356\) | 0.486329 | + | 2.75811i | 0.0257754 | + | 0.146180i | ||||
\(357\) | −0.286989 | + | 1.62760i | −0.0151891 | + | 0.0861415i | ||||
\(358\) | 17.6163 | + | 6.41182i | 0.931052 | + | 0.338875i | ||||
\(359\) | 7.95471 | − | 6.67479i | 0.419833 | − | 0.352282i | −0.408266 | − | 0.912863i | \(-0.633867\pi\) |
0.828100 | + | 0.560581i | \(0.189422\pi\) | |||||||
\(360\) | −19.5202 | −1.02881 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −14.1575 | −0.744099 | ||||||||
\(363\) | 0.260115 | − | 0.218262i | 0.0136525 | − | 0.0114558i | ||||
\(364\) | 11.4620 | + | 4.17182i | 0.600771 | + | 0.218663i | ||||
\(365\) | 3.30541 | − | 18.7459i | 0.173013 | − | 0.981205i | ||||
\(366\) | 0.356630 | + | 2.02255i | 0.0186413 | + | 0.105720i | ||||
\(367\) | 30.5710 | − | 11.1269i | 1.59580 | − | 0.580822i | 0.617234 | − | 0.786779i | \(-0.288253\pi\) |
0.978561 | + | 0.205957i | \(0.0660308\pi\) | |||||||
\(368\) | 0.0368366 | − | 0.0638029i | 0.00192024 | − | 0.00332596i | ||||
\(369\) | −6.09967 | − | 10.5649i | −0.317536 | − | 0.549989i | ||||
\(370\) | 1.42855 | + | 1.19869i | 0.0742667 | + | 0.0623172i | ||||
\(371\) | 8.79086 | + | 7.37641i | 0.456399 | + | 0.382964i | ||||
\(372\) | 0.634285 | + | 1.09861i | 0.0328862 | + | 0.0569605i | ||||
\(373\) | −15.2429 | + | 26.4014i | −0.789246 | + | 1.36701i | 0.137183 | + | 0.990546i | \(0.456195\pi\) |
−0.926429 | + | 0.376469i | \(0.877138\pi\) | |||||||
\(374\) | −4.65910 | + | 1.69577i | −0.240916 | + | 0.0876864i | ||||
\(375\) | 0.839556 | + | 4.76136i | 0.0433545 | + | 0.245875i | ||||
\(376\) | −0.353226 | + | 2.00324i | −0.0182162 | + | 0.103309i | ||||
\(377\) | −17.2417 | − | 6.27546i | −0.887993 | − | 0.323203i | ||||
\(378\) | 3.85117 | − | 3.23151i | 0.198083 | − | 0.166211i | ||||
\(379\) | 17.8598 | 0.917396 | 0.458698 | − | 0.888592i | \(-0.348316\pi\) | ||||
0.458698 | + | 0.888592i | \(0.348316\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.0537486 | −0.00275363 | ||||||||
\(382\) | 12.7647 | − | 10.7109i | 0.653099 | − | 0.548015i | ||||
\(383\) | 22.0415 | + | 8.02244i | 1.12627 | + | 0.409928i | 0.836936 | − | 0.547301i | \(-0.184345\pi\) |
0.289331 | + | 0.957229i | \(0.406567\pi\) | |||||||
\(384\) | −0.632226 | + | 3.58553i | −0.0322631 | + | 0.182973i | ||||
\(385\) | 2.81908 | + | 15.9878i | 0.143674 | + | 0.814813i | ||||
\(386\) | −10.6613 | + | 3.88040i | −0.542647 | + | 0.197507i | ||||
\(387\) | 6.52141 | − | 11.2954i | 0.331502 | − | 0.574178i | ||||
\(388\) | −1.11809 | − | 1.93659i | −0.0567623 | − | 0.0983153i | ||||
\(389\) | 2.99479 | + | 2.51292i | 0.151842 | + | 0.127410i | 0.715544 | − | 0.698568i | \(-0.246179\pi\) |
−0.563702 | + | 0.825978i | \(0.690623\pi\) | |||||||
\(390\) | 4.80200 | + | 4.02936i | 0.243159 | + | 0.204035i | ||||
\(391\) | −1.45336 | − | 2.51730i | −0.0734997 | − | 0.127305i | ||||
\(392\) | −4.92009 | + | 8.52185i | −0.248502 | + | 0.430418i | ||||
\(393\) | 1.51842 | − | 0.552659i | 0.0765941 | − | 0.0278780i | ||||
\(394\) | −3.54277 | − | 20.0920i | −0.178482 | − | 1.01222i | ||||
\(395\) | 3.06165 | − | 17.3635i | 0.154048 | − | 0.873652i | ||||
\(396\) | −10.6839 | − | 3.88863i | −0.536887 | − | 0.195411i | ||||
\(397\) | 6.86303 | − | 5.75876i | 0.344445 | − | 0.289024i | −0.454110 | − | 0.890946i | \(-0.650043\pi\) |
0.798555 | + | 0.601922i | \(0.205598\pi\) | |||||||
\(398\) | 8.10936 | 0.406486 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.0591253 | −0.00295627 | ||||||||
\(401\) | −1.55303 | + | 1.30315i | −0.0775548 | + | 0.0650762i | −0.680741 | − | 0.732524i | \(-0.738342\pi\) |
0.603186 | + | 0.797600i | \(0.293898\pi\) | |||||||
\(402\) | −6.24897 | − | 2.27444i | −0.311670 | − | 0.113439i | ||||
\(403\) | −1.78564 | + | 10.1269i | −0.0889493 | + | 0.504457i | ||||
\(404\) | 1.68732 | + | 9.56926i | 0.0839472 | + | 0.476088i | ||||
\(405\) | 15.5424 | − | 5.65695i | 0.772306 | − | 0.281096i | ||||
\(406\) | −2.86571 | + | 4.96356i | −0.142223 | + | 0.246338i | ||||
\(407\) | 1.42855 | + | 2.47432i | 0.0708105 | + | 0.122647i | ||||
\(408\) | −1.91147 | − | 1.60392i | −0.0946321 | − | 0.0794057i | ||||
\(409\) | −24.6728 | − | 20.7029i | −1.21999 | − | 1.02369i | −0.998825 | − | 0.0484567i | \(-0.984570\pi\) |
−0.221165 | − | 0.975236i | \(-0.570986\pi\) | |||||||
\(410\) | −4.99912 | − | 8.65873i | −0.246889 | − | 0.427624i | ||||
\(411\) | −5.19846 | + | 9.00400i | −0.256421 | + | 0.444135i | ||||
\(412\) | −0.0167694 | + | 0.00610358i | −0.000826171 | + | 0.000300702i | ||||
\(413\) | 3.51114 | + | 19.9127i | 0.172772 | + | 0.979839i | ||||
\(414\) | −0.729675 | + | 4.13819i | −0.0358616 | + | 0.203381i | ||||
\(415\) | 5.97818 | + | 2.17588i | 0.293457 | + | 0.106810i | ||||
\(416\) | −22.8516 | + | 19.1748i | −1.12039 | + | 0.940122i | ||||
\(417\) | 8.19253 | 0.401190 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −23.2499 | −1.13583 | −0.567916 | − | 0.823086i | \(-0.692250\pi\) | ||||
−0.567916 | + | 0.823086i | \(0.692250\pi\) | |||||||
\(420\) | −2.37939 | + | 1.99654i | −0.116102 | + | 0.0974212i | ||||
\(421\) | −6.06418 | − | 2.20718i | −0.295550 | − | 0.107571i | 0.189990 | − | 0.981786i | \(-0.439155\pi\) |
−0.485540 | + | 0.874215i | \(0.661377\pi\) | |||||||
\(422\) | 2.23308 | − | 12.6644i | 0.108705 | − | 0.616494i | ||||
\(423\) | −0.338211 | − | 1.91809i | −0.0164444 | − | 0.0932608i | ||||
\(424\) | −16.2811 | + | 5.92582i | −0.790678 | + | 0.287783i | ||||
\(425\) | −1.16637 | + | 2.02022i | −0.0565775 | + | 0.0979950i | ||||
\(426\) | 3.21894 | + | 5.57537i | 0.155958 | + | 0.270128i | ||||
\(427\) | −6.31908 | − | 5.30234i | −0.305802 | − | 0.256598i | ||||
\(428\) | 3.34002 | + | 2.80261i | 0.161446 | + | 0.135469i | ||||
\(429\) | 4.80200 | + | 8.31731i | 0.231843 | + | 0.401564i | ||||
\(430\) | 5.34477 | − | 9.25741i | 0.257748 | − | 0.446432i | ||||
\(431\) | 13.1532 | − | 4.78736i | 0.633566 | − | 0.230599i | −0.00521671 | − | 0.999986i | \(-0.501661\pi\) |
0.638783 | + | 0.769387i | \(0.279438\pi\) | |||||||
\(432\) | 0.0221266 | + | 0.125486i | 0.00106457 | + | 0.00603745i | ||||
\(433\) | −4.98246 | + | 28.2569i | −0.239442 | + | 1.35794i | 0.593613 | + | 0.804751i | \(0.297701\pi\) |
−0.833055 | + | 0.553191i | \(0.813410\pi\) | |||||||
\(434\) | 3.01842 | + | 1.09861i | 0.144889 | + | 0.0527352i | ||||
\(435\) | 3.57919 | − | 3.00330i | 0.171609 | − | 0.143997i | ||||
\(436\) | −9.04013 | −0.432944 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −3.51754 | −0.168075 | ||||||||
\(439\) | −10.2208 | + | 8.57623i | −0.487810 | + | 0.409321i | −0.853241 | − | 0.521517i | \(-0.825366\pi\) |
0.365431 | + | 0.930839i | \(0.380922\pi\) | |||||||
\(440\) | −23.0326 | − | 8.38316i | −1.09803 | − | 0.399652i | ||||
\(441\) | 1.63610 | − | 9.27876i | 0.0779093 | − | 0.441846i | ||||
\(442\) | −1.33527 | − | 7.57272i | −0.0635125 | − | 0.360198i | ||||
\(443\) | −31.8396 | + | 11.5887i | −1.51275 | + | 0.550594i | −0.959324 | − | 0.282307i | \(-0.908900\pi\) |
−0.553421 | + | 0.832901i | \(0.686678\pi\) | |||||||
\(444\) | −0.273318 | + | 0.473401i | −0.0129711 | + | 0.0224666i | ||||
\(445\) | −2.89053 | − | 5.00654i | −0.137024 | − | 0.237333i | ||||
\(446\) | −2.03074 | − | 1.70400i | −0.0961585 | − | 0.0806866i | ||||
\(447\) | −1.53524 | − | 1.28822i | −0.0726146 | − | 0.0609308i | ||||
\(448\) | 4.73783 | + | 8.20616i | 0.223841 | + | 0.387704i | ||||
\(449\) | −9.42009 | + | 16.3161i | −0.444562 | + | 0.770003i | −0.998022 | − | 0.0628725i | \(-0.979974\pi\) |
0.553460 | + | 0.832876i | \(0.313307\pi\) | |||||||
\(450\) | 3.16890 | − | 1.15339i | 0.149383 | − | 0.0543711i | ||||
\(451\) | −2.65998 | − | 15.0855i | −0.125253 | − | 0.710348i | ||||
\(452\) | −1.57145 | + | 8.91215i | −0.0739149 | + | 0.419192i | ||||
\(453\) | 7.29813 | + | 2.65630i | 0.342896 | + | 0.124804i | ||||
\(454\) | −9.24376 | + | 7.75643i | −0.433831 | + | 0.364027i | ||||
\(455\) | −25.1780 | −1.18036 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 14.2790 | 0.667943 | 0.333972 | − | 0.942583i | \(-0.391611\pi\) | ||||
0.333972 | + | 0.942583i | \(0.391611\pi\) | |||||||
\(458\) | 6.34183 | − | 5.32143i | 0.296334 | − | 0.248654i | ||||
\(459\) | 4.72416 | + | 1.71945i | 0.220505 | + | 0.0802571i | ||||
\(460\) | 0.948615 | − | 5.37987i | 0.0442294 | − | 0.250838i | ||||
\(461\) | −2.41859 | − | 13.7165i | −0.112645 | − | 0.638840i | −0.987889 | − | 0.155160i | \(-0.950411\pi\) |
0.875245 | − | 0.483681i | \(-0.160700\pi\) | |||||||
\(462\) | 2.81908 | − | 1.02606i | 0.131155 | − | 0.0477367i | ||||
\(463\) | 0.881445 | − | 1.52671i | 0.0409642 | − | 0.0709521i | −0.844816 | − | 0.535056i | \(-0.820290\pi\) |
0.885781 | + | 0.464104i | \(0.153624\pi\) | |||||||
\(464\) | −0.0726338 | − | 0.125805i | −0.00337194 | − | 0.00584037i | ||||
\(465\) | −2.00593 | − | 1.68317i | −0.0930228 | − | 0.0780554i | ||||
\(466\) | −16.2927 | − | 13.6712i | −0.754743 | − | 0.633305i | ||||
\(467\) | −11.0209 | − | 19.0888i | −0.509988 | − | 0.883326i | −0.999933 | − | 0.0115724i | \(-0.996316\pi\) |
0.489945 | − | 0.871754i | \(-0.337017\pi\) | |||||||
\(468\) | 8.81655 | − | 15.2707i | 0.407545 | − | 0.705889i | ||||
\(469\) | 25.0993 | − | 9.13538i | 1.15898 | − | 0.421833i | ||||
\(470\) | −0.277189 | − | 1.57202i | −0.0127858 | − | 0.0725117i | ||||
\(471\) | −0.958578 | + | 5.43636i | −0.0441689 | + | 0.250494i | ||||
\(472\) | −28.6869 | − | 10.4412i | −1.32042 | − | 0.480594i | ||||
\(473\) | 12.5458 | − | 10.5271i | 0.576855 | − | 0.484039i | ||||
\(474\) | −3.25814 | −0.149651 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 3.81016 | 0.174638 | ||||||||
\(477\) | 12.7083 | − | 10.6635i | 0.581871 | − | 0.488248i | ||||
\(478\) | 19.2754 | + | 7.01568i | 0.881638 | + | 0.320890i | ||||
\(479\) | −4.42056 | + | 25.0702i | −0.201981 | + | 1.14549i | 0.700140 | + | 0.714005i | \(0.253121\pi\) |
−0.902121 | + | 0.431483i | \(0.857990\pi\) | |||||||
\(480\) | −1.31908 | − | 7.48086i | −0.0602074 | − | 0.341453i | ||||
\(481\) | −4.16385 | + | 1.51552i | −0.189855 | + | 0.0691016i | ||||
\(482\) | −0.130882 | + | 0.226694i | −0.00596150 | + | 0.0103256i | ||||
\(483\) | 0.879385 | + | 1.52314i | 0.0400134 | + | 0.0693053i | ||||
\(484\) | −0.599670 | − | 0.503183i | −0.0272577 | − | 0.0228720i | ||||
\(485\) | 3.53596 | + | 2.96702i | 0.160560 | + | 0.134726i | ||||
\(486\) | −5.54071 | − | 9.59679i | −0.251332 | − | 0.435319i | ||||
\(487\) | 11.2554 | − | 19.4949i | 0.510029 | − | 0.883397i | −0.489903 | − | 0.871777i | \(-0.662968\pi\) |
0.999932 | − | 0.0116199i | \(-0.00369881\pi\) | |||||||
\(488\) | 11.7032 | − | 4.25962i | 0.529779 | − | 0.192824i | ||||
\(489\) | −0.186852 | − | 1.05969i | −0.00844974 | − | 0.0479208i | ||||
\(490\) | 1.34090 | − | 7.60462i | 0.0605757 | − | 0.343542i | ||||
\(491\) | −14.6912 | − | 5.34716i | −0.663004 | − | 0.241314i | −0.0114713 | − | 0.999934i | \(-0.503651\pi\) |
−0.651533 | + | 0.758620i | \(0.725874\pi\) | |||||||
\(492\) | 2.24510 | − | 1.88386i | 0.101217 | − | 0.0849311i | ||||
\(493\) | −5.73143 | −0.258131 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 23.4688 | 1.05485 | ||||||||
\(496\) | −0.0623668 | + | 0.0523319i | −0.00280035 | + | 0.00234977i | ||||
\(497\) | −24.2986 | − | 8.84397i | −1.08994 | − | 0.396706i | ||||
\(498\) | 0.204144 | − | 1.15776i | 0.00914793 | − | 0.0518805i | ||||
\(499\) | −4.96926 | − | 28.1820i | −0.222454 | − | 1.26160i | −0.867492 | − | 0.497451i | \(-0.834269\pi\) |
0.645038 | − | 0.764151i | \(-0.276842\pi\) | |||||||
\(500\) | 10.4740 | − | 3.81223i | 0.468412 | − | 0.170488i | ||||
\(501\) | 6.18732 | − | 10.7168i | 0.276429 | − | 0.478789i | ||||
\(502\) | 7.12196 | + | 12.3356i | 0.317869 | + | 0.550565i | ||||
\(503\) | −19.1860 | − | 16.0989i | −0.855460 | − | 0.717816i | 0.105525 | − | 0.994417i | \(-0.466348\pi\) |
−0.960985 | + | 0.276600i | \(0.910792\pi\) | |||||||
\(504\) | −11.0988 | − | 9.31299i | −0.494380 | − | 0.414834i | ||||
\(505\) | −10.0287 | − | 17.3702i | −0.446271 | − | 0.772963i | ||||
\(506\) | −2.63816 | + | 4.56942i | −0.117280 | + | 0.203135i | ||||
\(507\) | −7.49660 | + | 2.72854i | −0.332936 | + | 0.121179i | ||||
\(508\) | 0.0215172 | + | 0.122030i | 0.000954671 | + | 0.00541421i | ||||
\(509\) | 5.82089 | − | 33.0119i | 0.258006 | − | 1.46323i | −0.530230 | − | 0.847854i | \(-0.677894\pi\) |
0.788236 | − | 0.615373i | \(-0.210995\pi\) | |||||||
\(510\) | 1.84002 | + | 0.669713i | 0.0814776 | + | 0.0296554i | ||||
\(511\) | 10.8229 | − | 9.08153i | 0.478779 | − | 0.401743i | ||||
\(512\) | −0.473897 | −0.0209435 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 13.5030 | 0.595591 | ||||||||
\(515\) | 0.0282185 | − | 0.0236781i | 0.00124346 | − | 0.00104338i | ||||
\(516\) | 2.94444 | + | 1.07169i | 0.129622 | + | 0.0471785i | ||||
\(517\) | 0.424678 | − | 2.40847i | 0.0186773 | − | 0.105924i | ||||
\(518\) | 0.240352 | + | 1.36310i | 0.0105605 | + | 0.0598914i | ||||
\(519\) | −0.448311 | + | 0.163172i | −0.0196787 | + | 0.00716245i | ||||
\(520\) | 19.0069 | − | 32.9209i | 0.833506 | − | 1.44367i | ||||
\(521\) | 13.7392 | + | 23.7969i | 0.601924 | + | 1.04256i | 0.992530 | + | 0.122005i | \(0.0389323\pi\) |
−0.390606 | + | 0.920558i | \(0.627734\pi\) | |||||||
\(522\) | 6.34705 | + | 5.32581i | 0.277803 | + | 0.233104i | ||||
\(523\) | −7.93423 | − | 6.65761i | −0.346940 | − | 0.291117i | 0.452620 | − | 0.891703i | \(-0.350489\pi\) |
−0.799560 | + | 0.600587i | \(0.794934\pi\) | |||||||
\(524\) | −1.86262 | − | 3.22615i | −0.0813687 | − | 0.140935i | ||||
\(525\) | 0.705737 | − | 1.22237i | 0.0308009 | − | 0.0533487i | ||||
\(526\) | −7.96868 | + | 2.90036i | −0.347451 | + | 0.126462i | ||||
\(527\) | 0.557781 | + | 3.16333i | 0.0242973 | + | 0.137797i | ||||
\(528\) | −0.0132037 | + | 0.0748822i | −0.000574619 | + | 0.00325883i | ||||
\(529\) | 18.7062 | + | 6.80850i | 0.813313 | + | 0.296022i | ||||
\(530\) | 10.4153 | − | 8.73951i | 0.452414 | − | 0.379620i | ||||
\(531\) | 29.2303 | 1.26849 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 23.7570 | 1.02903 | ||||||||
\(534\) | −0.818363 | + | 0.686688i | −0.0354140 | + | 0.0297159i | ||||
\(535\) | −8.45723 | − | 3.07818i | −0.365638 | − | 0.133081i | ||||
\(536\) | −7.00269 | + | 39.7142i | −0.302470 | + | 1.71539i | ||||
\(537\) | −1.96972 | − | 11.1708i | −0.0849998 | − | 0.482058i | ||||
\(538\) | 15.1049 | − | 5.49773i | 0.651218 | − | 0.237024i | ||||
\(539\) | 5.91534 | − | 10.2457i | 0.254792 | − | 0.441313i | ||||
\(540\) | 4.72416 | + | 8.18248i | 0.203295 | + | 0.352118i | ||||
\(541\) | 1.93376 | + | 1.62262i | 0.0831390 | + | 0.0697619i | 0.683410 | − | 0.730035i | \(-0.260496\pi\) |
−0.600271 | + | 0.799797i | \(0.704941\pi\) | |||||||
\(542\) | 12.7751 | + | 10.7196i | 0.548739 | + | 0.460447i | ||||
\(543\) | 4.28312 | + | 7.41858i | 0.183806 | + | 0.318362i | ||||
\(544\) | −4.65910 | + | 8.06980i | −0.199757 | + | 0.345990i | ||||
\(545\) | 17.5351 | − | 6.38225i | 0.751120 | − | 0.273385i | ||||
\(546\) | 0.807934 | + | 4.58202i | 0.0345764 | + | 0.196092i | ||||
\(547\) | 1.33275 | − | 7.55839i | 0.0569842 | − | 0.323174i | −0.942969 | − | 0.332881i | \(-0.891979\pi\) |
0.999953 | + | 0.00970799i | \(0.00309020\pi\) | |||||||
\(548\) | 22.5236 | + | 8.19793i | 0.962162 | + | 0.350198i | ||||
\(549\) | −9.13500 | + | 7.66518i | −0.389872 | + | 0.327142i | ||||
\(550\) | 4.23442 | 0.180556 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −2.65539 | −0.113021 | ||||||||
\(553\) | 10.0248 | − | 8.41182i | 0.426298 | − | 0.357707i | ||||
\(554\) | −11.3738 | − | 4.13971i | −0.483225 | − | 0.175879i | ||||
\(555\) | 0.195937 | − | 1.11121i | 0.00831706 | − | 0.0471684i | ||||
\(556\) | −3.27972 | − | 18.6002i | −0.139091 | − | 0.788824i | ||||
\(557\) | −3.05943 | + | 1.11354i | −0.129632 | + | 0.0471823i | −0.406022 | − | 0.913863i | \(-0.633084\pi\) |
0.276389 | + | 0.961046i | \(0.410862\pi\) | |||||||
\(558\) | 2.32177 | − | 4.02142i | 0.0982882 | − | 0.170240i | ||||
\(559\) | 12.6998 | + | 21.9967i | 0.537145 | + | 0.930362i | ||||
\(560\) | −0.152704 | − | 0.128134i | −0.00645291 | − | 0.00541463i | ||||
\(561\) | 2.29813 | + | 1.92836i | 0.0970273 | + | 0.0814155i | ||||
\(562\) | −5.76486 | − | 9.98503i | −0.243176 | − | 0.421193i | ||||
\(563\) | −2.62954 | + | 4.55449i | −0.110822 | + | 0.191949i | −0.916102 | − | 0.400946i | \(-0.868682\pi\) |
0.805280 | + | 0.592895i | \(0.202015\pi\) | |||||||
\(564\) | 0.439693 | − | 0.160035i | 0.0185144 | − | 0.00673869i | ||||
\(565\) | −3.24376 | − | 18.3963i | −0.136466 | − | 0.773936i | ||||
\(566\) | −2.65358 | + | 15.0492i | −0.111538 | + | 0.632565i | ||||
\(567\) | 11.5360 | + | 4.19875i | 0.484465 | + | 0.176331i | ||||
\(568\) | 29.9067 | − | 25.0947i | 1.25486 | − | 1.05295i | ||||
\(569\) | −29.9564 | −1.25584 | −0.627918 | − | 0.778280i | \(-0.716093\pi\) | ||||
−0.627918 | + | 0.778280i | \(0.716093\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.7101 | −0.699295 | −0.349647 | − | 0.936881i | \(-0.613699\pi\) | ||||
−0.349647 | + | 0.936881i | \(0.613699\pi\) | |||||||
\(572\) | 16.9611 | − | 14.2321i | 0.709179 | − | 0.595072i | ||||
\(573\) | −9.47431 | − | 3.44837i | −0.395795 | − | 0.144058i | ||||
\(574\) | 1.28864 | − | 7.30823i | 0.0537867 | − | 0.305040i | ||||
\(575\) | 0.431074 | + | 2.44474i | 0.0179770 | + | 0.101953i | ||||
\(576\) | 12.8721 | − | 4.68507i | 0.536338 | − | 0.195211i | ||||
\(577\) | 6.84002 | − | 11.8473i | 0.284754 | − | 0.493208i | −0.687796 | − | 0.725904i | \(-0.741421\pi\) |
0.972549 | + | 0.232696i | \(0.0747548\pi\) | |||||||
\(578\) | 6.27379 | + | 10.8665i | 0.260955 | + | 0.451987i | ||||
\(579\) | 5.25877 | + | 4.41263i | 0.218547 | + | 0.183383i | ||||
\(580\) | −8.25150 | − | 6.92383i | −0.342625 | − | 0.287496i | ||||
\(581\) | 2.36097 | + | 4.08931i | 0.0979494 | + | 0.169653i | ||||
\(582\) | 0.426489 | − | 0.738700i | 0.0176785 | − | 0.0306201i | ||||
\(583\) | 19.5744 | − | 7.12452i | 0.810691 | − | 0.295067i | ||||
\(584\) | 3.70409 | + | 21.0069i | 0.153276 | + | 0.869273i | ||||
\(585\) | −6.32042 | + | 35.8449i | −0.261317 | + | 1.48200i | ||||
\(586\) | −12.8944 | − | 4.69318i | −0.532663 | − | 0.193873i | ||||
\(587\) | −18.4133 | + | 15.4506i | −0.759998 | + | 0.637714i | −0.938126 | − | 0.346293i | \(-0.887440\pi\) |
0.178129 | + | 0.984007i | \(0.442996\pi\) | |||||||
\(588\) | 2.26352 | 0.0933459 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 23.9564 | 0.986268 | ||||||||
\(591\) | −9.45652 | + | 7.93496i | −0.388989 | + | 0.326401i | ||||
\(592\) | −0.0329662 | − | 0.0119987i | −0.00135490 | − | 0.000493145i | ||||
\(593\) | −0.736482 | + | 4.17680i | −0.0302437 | + | 0.171520i | −0.996188 | − | 0.0872283i | \(-0.972199\pi\) |
0.965945 | + | 0.258749i | \(0.0833102\pi\) | |||||||
\(594\) | −1.58466 | − | 8.98703i | −0.0650192 | − | 0.368742i | ||||
\(595\) | −7.39053 | + | 2.68993i | −0.302982 | + | 0.110276i | ||||
\(596\) | −2.31016 | + | 4.00131i | −0.0946276 | + | 0.163900i | ||||
\(597\) | −2.45336 | − | 4.24935i | −0.100409 | − | 0.173914i | ||||
\(598\) | −6.26857 | − | 5.25996i | −0.256341 | − | 0.215096i | ||||
\(599\) | −20.1270 | − | 16.8886i | −0.822367 | − | 0.690048i | 0.131158 | − | 0.991362i | \(-0.458131\pi\) |
−0.953525 | + | 0.301313i | \(0.902575\pi\) | |||||||
\(600\) | 1.06552 | + | 1.84554i | 0.0434998 | + | 0.0753438i | ||||
\(601\) | 21.1197 | − | 36.5805i | 0.861492 | − | 1.49215i | −0.00899659 | − | 0.999960i | \(-0.502864\pi\) |
0.870489 | − | 0.492188i | \(-0.163803\pi\) | |||||||
\(602\) | 7.45558 | − | 2.71361i | 0.303867 | − | 0.110599i | ||||
\(603\) | −6.70502 | − | 38.0261i | −0.273050 | − | 1.54854i | ||||
\(604\) | 3.10917 | − | 17.6330i | 0.126510 | − | 0.717475i | ||||
\(605\) | 1.51842 | + | 0.552659i | 0.0617325 | + | 0.0224688i | ||||
\(606\) | −2.83931 | + | 2.38246i | −0.115339 | + | 0.0967809i | ||||
\(607\) | −22.0969 | −0.896885 | −0.448443 | − | 0.893812i | \(-0.648021\pi\) | ||||
−0.448443 | + | 0.893812i | \(0.648021\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 3.46791 | 0.140527 | ||||||||
\(610\) | −7.48680 | + | 6.28217i | −0.303132 | + | 0.254358i | ||||
\(611\) | 3.56418 | + | 1.29725i | 0.144191 | + | 0.0524813i | ||||
\(612\) | 0.956462 | − | 5.42437i | 0.0386627 | − | 0.219267i | ||||
\(613\) | 1.24628 | + | 7.06802i | 0.0503369 | + | 0.285474i | 0.999577 | − | 0.0290773i | \(-0.00925690\pi\) |
−0.949240 | + | 0.314552i | \(0.898146\pi\) | |||||||
\(614\) | −17.7833 | + | 6.47258i | −0.717675 | + | 0.261212i | ||||
\(615\) | −3.02481 | + | 5.23913i | −0.121972 | + | 0.211262i | ||||
\(616\) | −9.09627 | − | 15.7552i | −0.366499 | − | 0.634795i | ||||
\(617\) | −37.8218 | − | 31.7363i | −1.52265 | − | 1.27765i | −0.832569 | − | 0.553922i | \(-0.813131\pi\) |
−0.690081 | − | 0.723733i | \(-0.742425\pi\) | |||||||
\(618\) | −0.00521457 | − | 0.00437554i | −0.000209761 | − | 0.000176010i | ||||
\(619\) | −13.2490 | − | 22.9479i | −0.532521 | − | 0.922354i | −0.999279 | − | 0.0379684i | \(-0.987911\pi\) |
0.466758 | − | 0.884385i | \(-0.345422\pi\) | |||||||
\(620\) | −3.01842 | + | 5.22805i | −0.121223 | + | 0.209964i | ||||
\(621\) | 5.02734 | − | 1.82980i | 0.201740 | − | 0.0734274i | ||||
\(622\) | 2.21348 | + | 12.5533i | 0.0887524 | + | 0.503340i | ||||
\(623\) | 0.745100 | − | 4.22567i | 0.0298518 | − | 0.169298i | ||||
\(624\) | −0.110815 | − | 0.0403332i | −0.00443613 | − | 0.00161462i | ||||
\(625\) | −23.0312 | + | 19.3255i | −0.921248 | + | 0.773019i | ||||
\(626\) | 17.1643 | 0.686022 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.7264 | 0.507838 | ||||||||
\(629\) | −1.06031 | + | 0.889704i | −0.0422772 | + | 0.0354748i | ||||
\(630\) | 10.6839 | + | 3.88863i | 0.425657 | + | 0.154927i | ||||
\(631\) | 5.78611 | − | 32.8147i | 0.230341 | − | 1.30633i | −0.621864 | − | 0.783125i | \(-0.713625\pi\) |
0.852206 | − | 0.523206i | \(-0.175264\pi\) | |||||||
\(632\) | 3.43093 | + | 19.4578i | 0.136475 | + | 0.773989i | ||||
\(633\) | −7.31180 | + | 2.66128i | −0.290618 | + | 0.105776i | ||||
\(634\) | −12.4641 | + | 21.5884i | −0.495013 | + | 0.857387i | ||||
\(635\) | −0.127889 | − | 0.221510i | −0.00507511 | − | 0.00879035i | ||||
\(636\) | 3.05303 | + | 2.56180i | 0.121061 | + | 0.101582i | ||||
\(637\) | 14.0556 | + | 11.7940i | 0.556902 | + | 0.467296i | ||||
\(638\) | 5.20187 | + | 9.00990i | 0.205944 | + | 0.356705i | ||||
\(639\) | −18.6905 | + | 32.3729i | −0.739384 | + | 1.28065i | ||||
\(640\) | −16.2811 | + | 5.92582i | −0.643565 | + | 0.234239i | ||||
\(641\) | −0.0236329 | − | 0.134029i | −0.000933443 | − | 0.00529382i | 0.984337 | − | 0.176294i | \(-0.0564111\pi\) |
−0.985271 | + | 0.171001i | \(0.945300\pi\) | |||||||
\(642\) | −0.288800 | + | 1.63787i | −0.0113980 | + | 0.0646414i | ||||
\(643\) | −45.2725 | − | 16.4778i | −1.78537 | − | 0.649823i | −0.999506 | − | 0.0314270i | \(-0.989995\pi\) |
−0.785867 | − | 0.618396i | \(-0.787783\pi\) | |||||||
\(644\) | 3.10607 | − | 2.60630i | 0.122396 | − | 0.102703i | ||||
\(645\) | −6.46791 | −0.254674 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −36.9718 | −1.45351 | −0.726756 | − | 0.686895i | \(-0.758973\pi\) | ||||
−0.726756 | + | 0.686895i | \(0.758973\pi\) | |||||||
\(648\) | −14.1985 | + | 11.9139i | −0.557768 | + | 0.468023i | ||||
\(649\) | 34.4898 | + | 12.5533i | 1.35384 | + | 0.492758i | ||||
\(650\) | −1.14038 | + | 6.46740i | −0.0447293 | + | 0.253672i | ||||
\(651\) | −0.337496 | − | 1.91404i | −0.0132275 | − | 0.0750170i | ||||
\(652\) | −2.33110 | + | 0.848451i | −0.0912929 | + | 0.0332279i | ||||
\(653\) | −13.5000 | + | 23.3827i | −0.528296 | + | 0.915035i | 0.471160 | + | 0.882048i | \(0.343835\pi\) |
−0.999456 | + | 0.0329874i | \(0.989498\pi\) | |||||||
\(654\) | −1.72416 | − | 2.98632i | −0.0674198 | − | 0.116775i | ||||
\(655\) | 5.89053 | + | 4.94274i | 0.230162 | + | 0.193129i | ||||
\(656\) | 0.144086 | + | 0.120902i | 0.00562559 | + | 0.00472043i | ||||
\(657\) | −10.2121 | − | 17.6879i | −0.398413 | − | 0.690072i | ||||
\(658\) | 0.592396 | − | 1.02606i | 0.0230940 | − | 0.0400000i | ||||
\(659\) | −17.7366 | + | 6.45561i | −0.690922 | + | 0.251475i | −0.663530 | − | 0.748150i | \(-0.730942\pi\) |
−0.0273918 | + | 0.999625i | \(0.508720\pi\) | |||||||
\(660\) | 0.979055 | + | 5.55250i | 0.0381097 | + | 0.216131i | ||||
\(661\) | −5.31567 | + | 30.1467i | −0.206756 | + | 1.17257i | 0.687897 | + | 0.725808i | \(0.258534\pi\) |
−0.894653 | + | 0.446762i | \(0.852577\pi\) | |||||||
\(662\) | 1.41312 | + | 0.514335i | 0.0549226 | + | 0.0199902i | ||||
\(663\) | −3.56418 | + | 2.99070i | −0.138421 | + | 0.116149i | ||||
\(664\) | −7.12918 | −0.276666 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.00093 | 0.0775346 | ||||||||
\(667\) | −4.67230 | + | 3.92053i | −0.180912 | + | 0.151803i | ||||
\(668\) | −26.8081 | − | 9.75735i | −1.03724 | − | 0.377523i | ||||
\(669\) | −0.278533 | + | 1.57964i | −0.0107687 | + | 0.0610724i | ||||
\(670\) | −5.49525 | − | 31.1651i | −0.212300 | − | 1.20401i | ||||
\(671\) | −14.0706 | + | 5.12127i | −0.543188 | + | 0.197704i | ||||
\(672\) | 2.81908 | − | 4.88279i | 0.108748 | − | 0.188358i | ||||
\(673\) | −5.95471 | − | 10.3139i | −0.229537 | − | 0.397570i | 0.728134 | − | 0.685435i | \(-0.240388\pi\) |
−0.957671 | + | 0.287865i | \(0.907055\pi\) | |||||||
\(674\) | 17.1368 | + | 14.3795i | 0.660085 | + | 0.553877i | ||||
\(675\) | −3.28905 | − | 2.75984i | −0.126596 | − | 0.106226i | ||||
\(676\) | 9.19594 | + | 15.9278i | 0.353690 | + | 0.612609i | ||||
\(677\) | −2.89053 | + | 5.00654i | −0.111092 | + | 0.192417i | −0.916211 | − | 0.400696i | \(-0.868768\pi\) |
0.805119 | + | 0.593114i | \(0.202102\pi\) | |||||||
\(678\) | −3.24376 | + | 1.18063i | −0.124576 | + | 0.0453418i | ||||
\(679\) | 0.594922 | + | 3.37397i | 0.0228310 | + | 0.129481i | ||||
\(680\) | 2.06196 | − | 11.6939i | 0.0790724 | − | 0.448442i | ||||
\(681\) | 6.86097 | + | 2.49719i | 0.262913 | + | 0.0956924i | ||||
\(682\) | 4.46657 | − | 3.74789i | 0.171034 | − | 0.143514i | ||||
\(683\) | 21.0496 | 0.805442 | 0.402721 | − | 0.915323i | \(-0.368065\pi\) | ||||
0.402721 | + | 0.915323i | \(0.368065\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −49.4766 | −1.89040 | ||||||||
\(686\) | 13.2528 | − | 11.1205i | 0.505996 | − | 0.424581i | ||||
\(687\) | −4.70708 | − | 1.71324i | −0.179586 | − | 0.0653641i | ||||
\(688\) | −0.0349198 | + | 0.198040i | −0.00133131 | + | 0.00755021i | ||||
\(689\) | 5.60994 | + | 31.8155i | 0.213722 | + | 1.21208i | ||||
\(690\) | 1.95811 | − | 0.712694i | 0.0745440 | − | 0.0271318i | ||||
\(691\) | 16.4688 | − | 28.5249i | 0.626504 | − | 1.08514i | −0.361744 | − | 0.932278i | \(-0.617818\pi\) |
0.988248 | − | 0.152860i | \(-0.0488483\pi\) | |||||||
\(692\) | 0.549935 | + | 0.952515i | 0.0209054 | + | 0.0362092i | ||||
\(693\) | 13.3439 | + | 11.1969i | 0.506893 | + | 0.425333i | ||||
\(694\) | 5.18866 | + | 4.35381i | 0.196959 | + | 0.165268i | ||||
\(695\) | 19.4932 | + | 33.7632i | 0.739419 | + | 1.28071i | ||||
\(696\) | −2.61793 | + | 4.53438i | −0.0992322 | + | 0.171875i | ||||
\(697\) | 6.97343 | − | 2.53812i | 0.264138 | − | 0.0961382i | ||||
\(698\) | 3.47508 | + | 19.7082i | 0.131534 | + | 0.745965i | ||||
\(699\) | −2.23467 | + | 12.6734i | −0.0845230 | + | 0.479354i | ||||
\(700\) | −3.05778 | − | 1.11294i | −0.115573 | − | 0.0420652i | ||||
\(701\) | 16.3607 | − | 13.7283i | 0.617936 | − | 0.518510i | −0.279218 | − | 0.960228i | \(-0.590075\pi\) |
0.897154 | + | 0.441718i | \(0.145631\pi\) | |||||||
\(702\) | 14.1530 | 0.534171 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 17.2003 | 0.648260 | ||||||||
\(705\) | −0.739885 | + | 0.620838i | −0.0278657 | + | 0.0233821i | ||||
\(706\) | 9.45811 | + | 3.44247i | 0.355961 | + | 0.129559i | ||||
\(707\) | 2.58512 | − | 14.6610i | 0.0972235 | − | 0.551382i | ||||
\(708\) | 1.21941 | + | 6.91560i | 0.0458281 | + | 0.259904i | ||||
\(709\) | 14.8195 | − | 5.39387i | 0.556560 | − | 0.202571i | −0.0483989 | − | 0.998828i | \(-0.515412\pi\) |
0.604959 | + | 0.796257i | \(0.293190\pi\) | |||||||
\(710\) | −15.3182 | + | 26.5319i | −0.574882 | + | 0.995725i | ||||
\(711\) | −9.45904 | − | 16.3835i | −0.354742 | − | 0.614431i | ||||
\(712\) | 4.96270 | + | 4.16420i | 0.185985 | + | 0.156060i | ||||
\(713\) | 2.61856 | + | 2.19723i | 0.0980657 | + | 0.0822869i | ||||
\(714\) | 0.726682 | + | 1.25865i | 0.0271954 | + | 0.0471038i | ||||
\(715\) | −22.8516 | + | 39.5802i | −0.854603 | + | 1.48022i | ||||
\(716\) | −24.5736 | + | 8.94405i | −0.918357 | + | 0.334255i | ||||
\(717\) | −2.15523 | − | 12.2229i | −0.0804885 | − | 0.456473i | ||||
\(718\) | 1.58569 | − | 8.99292i | 0.0591776 | − | 0.335613i | ||||
\(719\) | 33.1977 | + | 12.0830i | 1.23807 | + | 0.450620i | 0.876353 | − | 0.481669i | \(-0.159969\pi\) |
0.361714 | + | 0.932289i | \(0.382192\pi\) | |||||||
\(720\) | −0.220752 | + | 0.185233i | −0.00822693 | + | 0.00690322i | ||||
\(721\) | 0.0273411 | 0.00101824 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.158385 | 0.00589040 | ||||||||
\(724\) | 15.1284 | − | 12.6942i | 0.562241 | − | 0.471776i | ||||
\(725\) | 4.59967 | + | 1.67414i | 0.170827 | + | 0.0621761i | ||||
\(726\) | 0.0518514 | − | 0.294064i | 0.00192438 | − | 0.0109137i | ||||
\(727\) | 7.01913 | + | 39.8075i | 0.260325 | + | 1.47638i | 0.782024 | + | 0.623248i | \(0.214187\pi\) |
−0.521699 | + | 0.853130i | \(0.674702\pi\) | |||||||
\(728\) | 26.5133 | − | 9.65004i | 0.982647 | − | 0.357654i | ||||
\(729\) | 6.44562 | − | 11.1641i | 0.238727 | − | 0.413487i | ||||
\(730\) | −8.36959 | − | 14.4965i | −0.309772 | − | 0.536541i | ||||
\(731\) | 6.07785 | + | 5.09992i | 0.224797 | + | 0.188627i | ||||
\(732\) | −2.19459 | − | 1.84148i | −0.0811145 | − | 0.0680631i | ||||
\(733\) | 18.1382 | + | 31.4162i | 0.669948 | + | 1.16038i | 0.977918 | + | 0.208988i | \(0.0670170\pi\) |
−0.307970 | + | 0.951396i | \(0.599650\pi\) | |||||||
\(734\) | 14.3045 | − | 24.7762i | 0.527990 | − | 0.914505i | ||||
\(735\) | −4.39053 | + | 1.59802i | −0.161947 | + | 0.0589439i | ||||
\(736\) | 1.72193 | + | 9.76557i | 0.0634713 | + | 0.359964i | ||||
\(737\) | 8.41921 | − | 47.7477i | 0.310126 | − | 1.75881i | ||||
\(738\) | −10.0809 | − | 3.66916i | −0.371085 | − | 0.135064i | ||||
\(739\) | −15.8387 | + | 13.2902i | −0.582635 | + | 0.488889i | −0.885811 | − | 0.464046i | \(-0.846397\pi\) |
0.303176 | + | 0.952935i | \(0.401953\pi\) | |||||||
\(740\) | −2.60132 | −0.0956264 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 10.0915 | 0.370471 | ||||||||
\(743\) | 5.13563 | − | 4.30930i | 0.188408 | − | 0.158093i | −0.543705 | − | 0.839277i | \(-0.682979\pi\) |
0.732113 | + | 0.681183i | \(0.238534\pi\) | |||||||
\(744\) | 2.75743 | + | 1.00362i | 0.101092 | + | 0.0367945i | ||||
\(745\) | 1.65611 | − | 9.39225i | 0.0606751 | − | 0.344105i | ||||
\(746\) | 4.65529 | + | 26.4014i | 0.170442 | + | 0.966625i | ||||
\(747\) | 6.41447 | − | 2.33468i | 0.234693 | − | 0.0854213i | ||||
\(748\) | 3.45811 | − | 5.98962i | 0.126441 | − | 0.219002i | ||||
\(749\) | −3.34002 | − | 5.78509i | −0.122042 | − | 0.211383i | ||||
\(750\) | 3.25696 | + | 2.73291i | 0.118927 | + | 0.0997919i | ||||
\(751\) | 8.20233 | + | 6.88258i | 0.299307 | + | 0.251149i | 0.780056 | − | 0.625710i | \(-0.215191\pi\) |
−0.480749 | + | 0.876859i | \(0.659635\pi\) | |||||||
\(752\) | 0.0150147 | + | 0.0260063i | 0.000547531 | + | 0.000948352i | ||||
\(753\) | 4.30928 | − | 7.46389i | 0.157039 | − | 0.271999i | ||||
\(754\) | −15.1621 | + | 5.51855i | −0.552171 | + | 0.200974i | ||||
\(755\) | 6.41787 | + | 36.3976i | 0.233570 | + | 1.32464i | ||||
\(756\) | −1.21776 | + | 6.90625i | −0.0442895 | + | 0.251178i | ||||
\(757\) | 3.81743 | + | 1.38943i | 0.138747 | + | 0.0504997i | 0.410460 | − | 0.911878i | \(-0.365368\pi\) |
−0.271713 | + | 0.962378i | \(0.587590\pi\) | |||||||
\(758\) | 12.0312 | − | 10.0954i | 0.436993 | − | 0.366681i | ||||
\(759\) | 3.19253 | 0.115882 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −11.0077 | −0.399030 | −0.199515 | − | 0.979895i | \(-0.563937\pi\) | ||||
−0.199515 | + | 0.979895i | \(0.563937\pi\) | |||||||
\(762\) | −0.0362077 | + | 0.0303818i | −0.00131167 | + | 0.00110062i | ||||
\(763\) | 13.0150 | + | 4.73708i | 0.471175 | + | 0.171494i | ||||
\(764\) | −4.03626 | + | 22.8908i | −0.146027 | + | 0.828160i | ||||
\(765\) | 1.97431 | + | 11.1969i | 0.0713812 | + | 0.404823i | ||||
\(766\) | 19.3830 | − | 7.05482i | 0.700334 | − | 0.254901i | ||||
\(767\) | −28.4616 | + | 49.2969i | −1.02769 | + | 1.78001i | ||||
\(768\) | 4.28359 | + | 7.41939i | 0.154571 | + | 0.267724i | ||||
\(769\) | 16.3530 | + | 13.7218i | 0.589703 | + | 0.494820i | 0.888117 | − | 0.459617i | \(-0.152013\pi\) |
−0.298414 | + | 0.954437i | \(0.596458\pi\) | |||||||
\(770\) | 10.9363 | + | 9.17664i | 0.394117 | + | 0.330703i | ||||
\(771\) | −4.08512 | − | 7.07564i | −0.147122 | − | 0.254823i | ||||
\(772\) | 7.91312 | − | 13.7059i | 0.284800 | − | 0.493287i | ||||
\(773\) | −16.8366 | + | 6.12803i | −0.605571 | + | 0.220410i | −0.626564 | − | 0.779370i | \(-0.715539\pi\) |
0.0209932 | + | 0.999780i | \(0.493317\pi\) | |||||||
\(774\) | −1.99169 | − | 11.2954i | −0.0715897 | − | 0.406005i | ||||
\(775\) | 0.476367 | − | 2.70161i | 0.0171116 | − | 0.0970448i | ||||
\(776\) | −4.86066 | − | 1.76914i | −0.174488 | − | 0.0635083i | ||||
\(777\) | 0.641559 | − | 0.538332i | 0.0230158 | − | 0.0193126i | ||||
\(778\) | 3.43788 | 0.123254 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −8.74422 | −0.313093 | ||||||||
\(781\) | −35.9564 | + | 30.1710i | −1.28662 | + | 1.07960i | ||||
\(782\) | −2.40198 | − | 0.874249i | −0.0858946 | − | 0.0312631i | ||||
\(783\) | 1.83181 | − | 10.3887i | 0.0654637 | − | 0.371263i | ||||
\(784\) | 0.0252254 | + | 0.143061i | 0.000900909 | + | 0.00510931i | ||||
\(785\) | −24.6853 | + | 8.98470i | −0.881055 | + | 0.320678i | ||||
\(786\) | 0.710485 | − | 1.23060i | 0.0253422 | − | 0.0438939i | ||||
\(787\) | −24.4158 | − | 42.2894i | −0.870330 | − | 1.50746i | −0.861656 | − | 0.507493i | \(-0.830572\pi\) |
−0.00867371 | − | 0.999962i | \(-0.502761\pi\) | |||||||
\(788\) | 21.8011 | + | 18.2933i | 0.776633 | + | 0.651672i | ||||
\(789\) | 3.93061 | + | 3.29817i | 0.139933 | + | 0.117418i | ||||
\(790\) | −7.75237 | − | 13.4275i | −0.275817 | − | 0.477729i | ||||
\(791\) | 6.93242 | − | 12.0073i | 0.246488 | − | 0.426930i | ||||
\(792\) | −24.7135 | + | 8.99497i | −0.878155 | + | 0.319622i | ||||
\(793\) | −4.03256 | − | 22.8698i | −0.143200 | − | 0.812129i | ||||
\(794\) | 1.36808 | − | 7.75876i | 0.0485513 | − | 0.275348i | ||||
\(795\) | −7.73055 | − | 2.81369i | −0.274174 | − | 0.0997913i | ||||
\(796\) | −8.66550 | + | 7.27122i | −0.307140 | + | 0.257721i | ||||
\(797\) | −28.5262 | −1.01045 | −0.505225 | − | 0.862988i | \(-0.668591\pi\) | ||||
−0.505225 | + | 0.862988i | \(0.668591\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.18479 | 0.0419149 | ||||||||
\(800\) | 6.09627 | − | 5.11538i | 0.215536 | − | 0.180856i | ||||
\(801\) | −5.82888 | − | 2.12154i | −0.205953 | − | 0.0749609i | ||||
\(802\) | −0.309582 | + | 1.75573i | −0.0109317 | + | 0.0619969i | ||||
\(803\) | −4.45336 | − | 25.2563i | −0.157156 | − | 0.891275i | ||||
\(804\) | 8.71688 | − | 3.17269i | 0.307421 | − | 0.111892i | ||||
\(805\) | −4.18479 | + | 7.24827i | −0.147495 | + | 0.255468i | ||||
\(806\) | 4.52141 | + | 7.83131i | 0.159260 | + | 0.275846i | ||||
\(807\) | −7.45059 | − | 6.25179i | −0.262273 | − | 0.220073i | ||||
\(808\) | 17.2181 | + | 14.4477i | 0.605729 | + | 0.508267i | ||||
\(809\) | 7.41834 | + | 12.8489i | 0.260815 | + | 0.451745i | 0.966459 | − | 0.256822i | \(-0.0826755\pi\) |
−0.705644 | + | 0.708567i | \(0.749342\pi\) | |||||||
\(810\) | 7.27244 | − | 12.5962i | 0.255528 | − | 0.442587i | ||||
\(811\) | 7.87211 | − | 2.86521i | 0.276427 | − | 0.100611i | −0.200087 | − | 0.979778i | \(-0.564122\pi\) |
0.476514 | + | 0.879167i | \(0.341900\pi\) | |||||||
\(812\) | −1.38831 | − | 7.87349i | −0.0487201 | − | 0.276305i | ||||
\(813\) | 1.75221 | − | 9.93729i | 0.0614527 | − | 0.348516i | ||||
\(814\) | 2.36097 | + | 0.859322i | 0.0827518 | + | 0.0301192i | ||||
\(815\) | 3.92262 | − | 3.29147i | 0.137403 | − | 0.115295i | ||||
\(816\) | −0.0368366 | −0.00128954 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −28.3233 | −0.990299 | ||||||||
\(819\) | −20.6951 | + | 17.3652i | −0.723144 | + | 0.606790i | ||||
\(820\) | 13.1058 | + | 4.77011i | 0.457673 | + | 0.166579i | ||||
\(821\) | 1.09034 | − | 6.18361i | 0.0380530 | − | 0.215809i | −0.959852 | − | 0.280507i | \(-0.909497\pi\) |
0.997905 | + | 0.0646980i | \(0.0206084\pi\) | |||||||
\(822\) | 1.58765 | + | 9.00400i | 0.0553756 | + | 0.314051i | ||||
\(823\) | −10.3614 | + | 3.77125i | −0.361177 | + | 0.131458i | −0.516233 | − | 0.856448i | \(-0.672666\pi\) |
0.155056 | + | 0.987906i | \(0.450444\pi\) | |||||||
\(824\) | −0.0206398 | + | 0.0357492i | −0.000719023 | + | 0.00124538i | ||||
\(825\) | −1.28106 | − | 2.21886i | −0.0446008 | − | 0.0772508i | ||||
\(826\) | 13.6211 | + | 11.4294i | 0.473938 | + | 0.397681i | ||||
\(827\) | 25.9963 | + | 21.8135i | 0.903982 | + | 0.758531i | 0.970965 | − | 0.239223i | \(-0.0768929\pi\) |
−0.0669829 | + | 0.997754i | \(0.521337\pi\) | |||||||
\(828\) | −2.93077 | − | 5.07624i | −0.101851 | − | 0.176412i | ||||
\(829\) | 10.1834 | − | 17.6382i | 0.353686 | − | 0.612602i | −0.633206 | − | 0.773983i | \(-0.718262\pi\) |
0.986892 | + | 0.161381i | \(0.0515949\pi\) | |||||||
\(830\) | 5.25712 | − | 1.91344i | 0.182477 | − | 0.0664163i | ||||
\(831\) | 1.27173 | + | 7.21232i | 0.0441157 | + | 0.250192i | ||||
\(832\) | −4.63223 | + | 26.2707i | −0.160594 | + | 0.910771i | ||||
\(833\) | 5.38578 | + | 1.96026i | 0.186606 | + | 0.0679191i | ||||
\(834\) | 5.51889 | − | 4.63089i | 0.191103 | − | 0.160355i | ||||
\(835\) | 58.8881 | 2.03791 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −5.91210 | −0.204352 | ||||||||
\(838\) | −15.6623 | + | 13.1422i | −0.541044 | + | 0.453990i | ||||
\(839\) | −14.8559 | − | 5.40711i | −0.512883 | − | 0.186674i | 0.0725964 | − | 0.997361i | \(-0.476872\pi\) |
−0.585480 | + | 0.810687i | \(0.699094\pi\) | |||||||
\(840\) | −1.24763 | + | 7.07564i | −0.0430472 | + | 0.244133i | ||||
\(841\) | −2.94743 | − | 16.7157i | −0.101636 | − | 0.576404i | ||||
\(842\) | −5.33275 | + | 1.94096i | −0.183779 | + | 0.0668900i | ||||
\(843\) | −3.48814 | + | 6.04164i | −0.120138 | + | 0.208085i | ||||
\(844\) | 8.96926 | + | 15.5352i | 0.308734 | + | 0.534744i | ||||
\(845\) | −29.0822 | − | 24.4029i | −1.00046 | − | 0.839484i | ||||
\(846\) | −1.31205 | − | 1.10094i | −0.0451093 | − | 0.0378512i | ||||
\(847\) | 0.599670 | + | 1.03866i | 0.0206049 | + | 0.0356888i | ||||
\(848\) | −0.127889 | + | 0.221510i | −0.00439172 | + | 0.00760668i | ||||
\(849\) | 8.68866 | − | 3.16241i | 0.298194 | − | 0.108534i | ||||
\(850\) | 0.356219 | + | 2.02022i | 0.0122182 | + | 0.0692930i | ||||
\(851\) | −0.255777 | + | 1.45059i | −0.00876794 | + | 0.0497254i | ||||
\(852\) | −8.43882 | − | 3.07148i | −0.289109 | − | 0.105227i | ||||
\(853\) | −40.3316 | + | 33.8422i | −1.38093 | + | 1.15874i | −0.412061 | + | 0.911156i | \(0.635191\pi\) |
−0.968867 | + | 0.247580i | \(0.920365\pi\) | |||||||
\(854\) | −7.25402 | −0.248228 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 10.0855 | 0.344716 | ||||||||
\(857\) | −17.6400 | + | 14.8017i | −0.602570 | + | 0.505616i | −0.892271 | − | 0.451501i | \(-0.850889\pi\) |
0.289701 | + | 0.957117i | \(0.406444\pi\) | |||||||
\(858\) | 7.93629 | + | 2.88857i | 0.270940 | + | 0.0986143i | ||||
\(859\) | 1.54710 | − | 8.77406i | 0.0527865 | − | 0.299367i | −0.946973 | − | 0.321314i | \(-0.895875\pi\) |
0.999759 | + | 0.0219471i | \(0.00698655\pi\) | |||||||
\(860\) | 2.58930 | + | 14.6846i | 0.0882943 | + | 0.500742i | ||||
\(861\) | −4.21941 | + | 1.53574i | −0.143797 | + | 0.0523378i | ||||
\(862\) | 6.15451 | − | 10.6599i | 0.209624 | − | 0.363079i | ||||
\(863\) | −14.8849 | − | 25.7814i | −0.506688 | − | 0.877609i | −0.999970 | − | 0.00773998i | \(-0.997536\pi\) |
0.493282 | − | 0.869869i | \(-0.335797\pi\) | |||||||
\(864\) | −13.1382 | − | 11.0242i | −0.446969 | − | 0.375052i | ||||
\(865\) | −1.73917 | − | 1.45934i | −0.0591336 | − | 0.0496189i | ||||
\(866\) | 12.6160 | + | 21.8516i | 0.428710 | + | 0.742548i | ||||
\(867\) | 3.79607 | − | 6.57499i | 0.128921 | − | 0.223298i | ||||
\(868\) | −4.21048 | + | 1.53249i | −0.142913 | + | 0.0520161i | ||||
\(869\) | −4.12495 | − | 23.3938i | −0.139929 | − | 0.793579i | ||||
\(870\) | 0.713478 | − | 4.04633i | 0.0241892 | − | 0.137184i | ||||
\(871\) | 70.6596 | + | 25.7180i | 2.39421 | + | 0.871421i | ||||
\(872\) | −16.0189 | + | 13.4414i | −0.542468 | + | 0.455185i | ||||
\(873\) | 4.95273 | 0.167625 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −17.0770 | −0.577307 | ||||||||
\(876\) | 3.75877 | − | 3.15398i | 0.126997 | − | 0.106563i | ||||
\(877\) | 23.5205 | + | 8.56077i | 0.794232 | + | 0.289077i | 0.707094 | − | 0.707119i | \(-0.250006\pi\) |
0.0871379 | + | 0.996196i | \(0.472228\pi\) | |||||||
\(878\) | −2.03741 | + | 11.5547i | −0.0687592 | + | 0.389953i | ||||
\(879\) | 1.44175 | + | 8.17658i | 0.0486291 | + | 0.275789i | ||||
\(880\) | −0.340022 | + | 0.123758i | −0.0114622 | + | 0.00417188i | ||||
\(881\) | −10.1980 | + | 17.6634i | −0.343579 | + | 0.595097i | −0.985095 | − | 0.172014i | \(-0.944973\pi\) |
0.641515 | + | 0.767110i | \(0.278306\pi\) | |||||||
\(882\) | −4.14274 | − | 7.17544i | −0.139493 | − | 0.241610i | ||||
\(883\) | −8.14156 | − | 6.83158i | −0.273985 | − | 0.229901i | 0.495433 | − | 0.868646i | \(-0.335009\pi\) |
−0.769418 | + | 0.638745i | \(0.779454\pi\) | |||||||
\(884\) | 8.21688 | + | 6.89478i | 0.276364 | + | 0.231897i | ||||
\(885\) | −7.24763 | − | 12.5533i | −0.243626 | − | 0.421973i | ||||
\(886\) | −14.8981 | + | 25.8043i | −0.500512 | + | 0.866912i | ||||
\(887\) | 52.9411 | − | 19.2690i | 1.77759 | − | 0.646989i | 0.777758 | − | 0.628564i | \(-0.216357\pi\) |
0.999830 | − | 0.0184249i | \(-0.00586515\pi\) | |||||||
\(888\) | 0.219570 | + | 1.24524i | 0.00736828 | + | 0.0417876i | ||||
\(889\) | 0.0329662 | − | 0.186961i | 0.00110565 | − | 0.00627046i | ||||
\(890\) | −4.77719 | − | 1.73875i | −0.160132 | − | 0.0582832i | ||||
\(891\) | 17.0706 | − | 14.3239i | 0.571886 | − | 0.479869i | ||||
\(892\) | 3.69789 | 0.123815 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −1.76239 | −0.0589432 | ||||||||
\(895\) | 41.3508 | − | 34.6974i | 1.38220 | − | 1.15981i | ||||
\(896\) | −12.0842 | − | 4.39831i | −0.403706 | − | 0.146937i | ||||
\(897\) | −0.859785 | + | 4.87608i | −0.0287074 | + | 0.162808i | ||||
\(898\) | 2.87696 | + | 16.3161i | 0.0960056 | + | 0.544475i | ||||
\(899\) | 6.33363 | − | 2.30525i | 0.211238 | − | 0.0768844i | ||||
\(900\) | −2.35204 | + | 4.07386i | −0.0784015 | + | 0.135795i | ||||
\(901\) | 5.04576 | + | 8.73951i | 0.168099 | + | 0.291155i | ||||
\(902\) | −10.3191 | − | 8.65873i | −0.343588 | − | 0.288304i | ||||
\(903\) | −3.67752 | − | 3.08580i | −0.122380 | − | 0.102689i | ||||
\(904\) | 10.4666 | + | 18.1286i | 0.348113 | + | 0.602949i | ||||
\(905\) | −20.3824 | + | 35.3033i | −0.677533 | + | 1.17352i | ||||
\(906\) | 6.41787 | − | 2.33591i | 0.213219 | − | 0.0776055i | ||||
\(907\) | −1.02863 | − | 5.83365i | −0.0341551 | − | 0.193703i | 0.962956 | − | 0.269658i | \(-0.0869106\pi\) |
−0.997111 | + | 0.0759549i | \(0.975800\pi\) | |||||||
\(908\) | 2.92292 | − | 16.5767i | 0.0970006 | − | 0.550118i | ||||
\(909\) | −20.2233 | − | 7.36067i | −0.670764 | − | 0.244138i | ||||
\(910\) | −16.9611 | + | 14.2321i | −0.562255 | + | 0.471788i | ||||
\(911\) | −34.0591 | −1.12843 | −0.564215 | − | 0.825628i | \(-0.690821\pi\) | ||||
−0.564215 | + | 0.825628i | \(0.690821\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 8.57129 | 0.283668 | ||||||||
\(914\) | 9.61902 | − | 8.07132i | 0.318169 | − | 0.266975i | ||||
\(915\) | 5.55690 | + | 2.02255i | 0.183706 | + | 0.0668634i | ||||
\(916\) | −2.00532 | + | 11.3727i | −0.0662577 | + | 0.375766i | ||||
\(917\) | 0.991077 | + | 5.62068i | 0.0327283 | + | 0.185611i | ||||
\(918\) | 4.15435 | − | 1.51206i | 0.137114 | − | 0.0499054i | ||||
\(919\) | 3.13697 | − | 5.43340i | 0.103479 | − | 0.179231i | −0.809637 | − | 0.586931i | \(-0.800336\pi\) |
0.913116 | + | 0.407700i | \(0.133669\pi\) | |||||||
\(920\) | −6.31820 | − | 10.9434i | −0.208305 | − | 0.360795i | ||||
\(921\) | 8.77173 | + | 7.36035i | 0.289038 | + | 0.242532i | ||||
\(922\) | −9.38263 | − | 7.87296i | −0.309000 | − | 0.259282i | ||||
\(923\) | −36.3979 | − | 63.0429i | −1.19805 | − | 2.07508i | ||||
\(924\) | −2.09240 | + | 3.62414i | −0.0688348 | + | 0.119225i | ||||
\(925\) | 1.11081 | − | 0.404303i | 0.0365234 | − | 0.0132934i | ||||
\(926\) | −0.269200 | − | 1.52671i | −0.00884645 | − | 0.0501707i | ||||
\(927\) | 0.00686344 | − | 0.0389245i | 0.000225425 | − | 0.00127845i | ||||
\(928\) | 18.3735 | + | 6.68739i | 0.603138 | + | 0.219524i | ||||
\(929\) | 21.6969 | − | 18.2058i | 0.711851 | − | 0.597314i | −0.213267 | − | 0.976994i | \(-0.568410\pi\) |
0.925118 | + | 0.379680i | \(0.123966\pi\) | |||||||
\(930\) | −2.30272 | −0.0755091 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 29.6682 | 0.971814 | ||||||||
\(933\) | 5.90832 | − | 4.95767i | 0.193430 | − | 0.162307i | ||||
\(934\) | −18.2144 | − | 6.62948i | −0.595992 | − | 0.216923i | ||||
\(935\) | −2.47906 | + | 14.0594i | −0.0810738 | + | 0.459792i | ||||
\(936\) | −7.08276 | − | 40.1683i | −0.231507 | − | 1.31294i | ||||
\(937\) | 18.8614 | − | 6.86500i | 0.616176 | − | 0.224270i | −0.0150273 | − | 0.999887i | \(-0.504784\pi\) |
0.631203 | + | 0.775617i | \(0.282561\pi\) | |||||||
\(938\) | 11.7442 | − | 20.3416i | 0.383462 | − | 0.664176i | ||||
\(939\) | −5.19278 | − | 8.99416i | −0.169460 | − | 0.293513i | ||||
\(940\) | 1.70574 | + | 1.43128i | 0.0556350 | + | 0.0466833i | ||||
\(941\) | 4.13294 | + | 3.46795i | 0.134730 | + | 0.113052i | 0.707662 | − | 0.706551i | \(-0.249750\pi\) |
−0.572932 | + | 0.819603i | \(0.694194\pi\) | |||||||
\(942\) | 2.42720 | + | 4.20404i | 0.0790826 | + | 0.136975i | ||||
\(943\) | 3.94862 | − | 6.83920i | 0.128585 | − | 0.222715i | ||||
\(944\) | −0.423496 | + | 0.154140i | −0.0137836 | + | 0.00501683i | ||||
\(945\) | −2.51367 | − | 14.2557i | −0.0817697 | − | 0.463739i | ||||
\(946\) | 2.50088 | − | 14.1832i | 0.0813105 | − | 0.461135i | ||||
\(947\) | −6.24257 | − | 2.27211i | −0.202856 | − | 0.0738337i | 0.238594 | − | 0.971119i | \(-0.423314\pi\) |
−0.441450 | + | 0.897286i | \(0.645536\pi\) | |||||||
\(948\) | 3.48158 | − | 2.92139i | 0.113077 | − | 0.0948825i | ||||
\(949\) | 39.7743 | 1.29113 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 15.0833 | 0.489109 | ||||||||
\(952\) | 6.75150 | − | 5.66518i | 0.218817 | − | 0.183609i | ||||
\(953\) | 13.9299 | + | 5.07007i | 0.451233 | + | 0.164236i | 0.557632 | − | 0.830088i | \(-0.311710\pi\) |
−0.106399 | + | 0.994324i | \(0.533932\pi\) | |||||||
\(954\) | 2.53327 | − | 14.3669i | 0.0820177 | − | 0.465145i | ||||
\(955\) | −8.33157 | − | 47.2507i | −0.269603 | − | 1.52900i | ||||
\(956\) | −26.8879 | + | 9.78639i | −0.869617 | + | 0.316515i | ||||
\(957\) | 3.14749 | − | 5.45161i | 0.101744 | − | 0.176226i | ||||
\(958\) | 11.1932 | + | 19.3873i | 0.361637 | + | 0.626374i | ||||
\(959\) | −28.1313 | − | 23.6050i | −0.908409 | − | 0.762245i | ||||
\(960\) | −5.20368 | − | 4.36640i | −0.167948 | − | 0.140925i | ||||
\(961\) | 13.6113 | + | 23.5754i | 0.439074 | + | 0.760498i | ||||
\(962\) | −1.94831 | + | 3.37457i | −0.0628161 | + | 0.108801i | ||||
\(963\) | −9.07444 | + | 3.30283i | −0.292420 | + | 0.106432i | ||||
\(964\) | −0.0634062 | − | 0.359595i | −0.00204218 | − | 0.0115818i | ||||
\(965\) | −5.67277 | + | 32.1719i | −0.182613 | + | 1.03565i | ||||
\(966\) | 1.45336 | + | 0.528981i | 0.0467612 | + | 0.0170197i | ||||
\(967\) | 16.2567 | − | 13.6410i | 0.522781 | − | 0.438665i | −0.342819 | − | 0.939401i | \(-0.611382\pi\) |
0.865600 | + | 0.500736i | \(0.166937\pi\) | |||||||
\(968\) | −1.81076 | −0.0582002 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 4.05913 | 0.130331 | ||||||||
\(971\) | −28.8084 | + | 24.1731i | −0.924506 | + | 0.775752i | −0.974823 | − | 0.222981i | \(-0.928421\pi\) |
0.0503172 | + | 0.998733i | \(0.483977\pi\) | |||||||
\(972\) | 14.5256 | + | 5.28688i | 0.465908 | + | 0.169577i | ||||
\(973\) | −5.02481 | + | 28.4971i | −0.161088 | + | 0.913576i | ||||
\(974\) | −3.43747 | − | 19.4949i | −0.110144 | − | 0.624656i | ||||
\(975\) | 3.73396 | − | 1.35905i | 0.119582 | − | 0.0435244i | ||||
\(976\) | 0.0919294 | − | 0.159226i | 0.00294259 | − | 0.00509671i | ||||
\(977\) | 23.0107 | + | 39.8558i | 0.736179 | + | 1.27510i | 0.954204 | + | 0.299156i | \(0.0967050\pi\) |
−0.218026 | + | 0.975943i | \(0.569962\pi\) | |||||||
\(978\) | −0.724871 | − | 0.608239i | −0.0231788 | − | 0.0194493i | ||||
\(979\) | −5.96657 | − | 5.00654i | −0.190692 | − | 0.160010i | ||||
\(980\) | 5.38578 | + | 9.32845i | 0.172042 | + | 0.297986i | ||||
\(981\) | 10.0111 | − | 17.3398i | 0.319631 | − | 0.553618i | ||||
\(982\) | −12.9192 | + | 4.70221i | −0.412269 | + | 0.150054i | ||||
\(983\) | 10.5225 | + | 59.6758i | 0.335614 | + | 1.90336i | 0.421085 | + | 0.907021i | \(0.361649\pi\) |
−0.0854708 | + | 0.996341i | \(0.527239\pi\) | |||||||
\(984\) | 1.17721 | − | 6.67631i | 0.0375282 | − | 0.212833i | ||||
\(985\) | −55.2024 | − | 20.0920i | −1.75889 | − | 0.640185i | ||||
\(986\) | −3.86097 | + | 3.23974i | −0.122958 | + | 0.103174i | ||||
\(987\) | −0.716881 | −0.0228186 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 8.44326 | 0.268480 | ||||||||
\(990\) | 15.8097 | − | 13.2660i | 0.502467 | − | 0.421620i | ||||
\(991\) | −39.3714 | − | 14.3300i | −1.25067 | − | 0.455208i | −0.370044 | − | 0.929014i | \(-0.620658\pi\) |
−0.880629 | + | 0.473806i | \(0.842880\pi\) | |||||||
\(992\) | 1.90286 | − | 10.7916i | 0.0604157 | − | 0.342635i | ||||
\(993\) | −0.158004 | − | 0.896088i | −0.00501412 | − | 0.0284365i | ||||
\(994\) | −21.3678 | + | 7.77725i | −0.677746 | + | 0.246680i | ||||
\(995\) | 11.6750 | − | 20.2217i | 0.370122 | − | 0.641070i | ||||
\(996\) | 0.819955 | + | 1.42020i | 0.0259813 | + | 0.0450009i | ||||
\(997\) | 25.8273 | + | 21.6717i | 0.817958 | + | 0.686349i | 0.952493 | − | 0.304560i | \(-0.0985095\pi\) |
−0.134535 | + | 0.990909i | \(0.542954\pi\) | |||||||
\(998\) | −19.2777 | − | 16.1759i | −0.610224 | − | 0.512038i | ||||
\(999\) | −1.27379 | − | 2.20626i | −0.0403008 | − | 0.0698030i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))