Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [841,2,Mod(190,841)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(841, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("841.190");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 841 = 29^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 841.d (of order \(7\), 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: | \(6.71541880999\) |
Analytic rank: | \(1\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{14})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 605.1 | ||
Root | \(0.900969 + 0.433884i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 841.605 |
Dual form | 841.2.d.a.645.1 |
$q$-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 \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0990311 | + | 0.433884i | −0.0700256 | + | 0.306802i | −0.997797 | − | 0.0663480i | \(-0.978865\pi\) |
0.927771 | + | 0.373150i | \(0.121722\pi\) | |||||||
\(3\) | −1.12349 | + | 0.541044i | −0.648647 | + | 0.312372i | −0.729121 | − | 0.684385i | \(-0.760071\pi\) |
0.0804740 | + | 0.996757i | \(0.474357\pi\) | |||||||
\(4\) | 1.62349 | + | 0.781831i | 0.811745 | + | 0.390916i | ||||
\(5\) | −0.153989 | + | 0.674671i | −0.0688661 | + | 0.301722i | −0.997618 | − | 0.0689797i | \(-0.978026\pi\) |
0.928752 | + | 0.370702i | \(0.120883\pi\) | |||||||
\(6\) | −0.123490 | − | 0.541044i | −0.0504145 | − | 0.220880i | ||||
\(7\) | −0.321552 | + | 0.154851i | −0.121535 | + | 0.0585283i | −0.493663 | − | 0.869653i | \(-0.664342\pi\) |
0.372128 | + | 0.928181i | \(0.378628\pi\) | |||||||
\(8\) | −1.05496 | + | 1.32288i | −0.372984 | + | 0.467707i | ||||
\(9\) | −0.900969 | + | 1.12978i | −0.300323 | + | 0.376593i | ||||
\(10\) | −0.277479 | − | 0.133627i | −0.0877466 | − | 0.0422565i | ||||
\(11\) | −3.07942 | − | 3.86147i | −0.928479 | − | 1.16428i | −0.986136 | − | 0.165940i | \(-0.946934\pi\) |
0.0576568 | − | 0.998336i | \(-0.481637\pi\) | |||||||
\(12\) | −2.24698 | −0.648647 | ||||||||
\(13\) | −3.52446 | − | 4.41953i | −0.977509 | − | 1.22576i | −0.974182 | − | 0.225763i | \(-0.927513\pi\) |
−0.00332670 | − | 0.999994i | \(-0.501059\pi\) | |||||||
\(14\) | −0.0353438 | − | 0.154851i | −0.00944603 | − | 0.0413858i | ||||
\(15\) | −0.192021 | − | 0.841301i | −0.0495797 | − | 0.217223i | ||||
\(16\) | 1.77748 | + | 2.22889i | 0.444370 | + | 0.557222i | ||||
\(17\) | −4.49396 | −1.08995 | −0.544973 | − | 0.838454i | \(-0.683460\pi\) | ||||
−0.544973 | + | 0.838454i | \(0.683460\pi\) | |||||||
\(18\) | −0.400969 | − | 0.502799i | −0.0945093 | − | 0.118511i | ||||
\(19\) | −2.12349 | − | 1.02262i | −0.487162 | − | 0.234605i | 0.174145 | − | 0.984720i | \(-0.444284\pi\) |
−0.661307 | + | 0.750115i | \(0.729998\pi\) | |||||||
\(20\) | −0.777479 | + | 0.974928i | −0.173850 | + | 0.218001i | ||||
\(21\) | 0.277479 | − | 0.347948i | 0.0605509 | − | 0.0759284i | ||||
\(22\) | 1.98039 | − | 0.953703i | 0.422220 | − | 0.203330i | ||||
\(23\) | −0.510885 | − | 2.23833i | −0.106527 | − | 0.466725i | −0.999850 | − | 0.0173102i | \(-0.994490\pi\) |
0.893323 | − | 0.449415i | \(-0.148367\pi\) | |||||||
\(24\) | 0.469501 | − | 2.05702i | 0.0958364 | − | 0.419887i | ||||
\(25\) | 4.07338 | + | 1.96163i | 0.814675 | + | 0.392327i | ||||
\(26\) | 2.26659 | − | 1.09153i | 0.444516 | − | 0.214067i | ||||
\(27\) | 1.23341 | − | 5.40391i | 0.237369 | − | 1.03998i | ||||
\(28\) | −0.643104 | −0.121535 | ||||||||
\(29\) | 0 | 0 | ||||||||
\(30\) | 0.384043 | 0.0701163 | ||||||||
\(31\) | −1.48911 | + | 6.52424i | −0.267453 | + | 1.17179i | 0.645512 | + | 0.763750i | \(0.276644\pi\) |
−0.912965 | + | 0.408038i | \(0.866213\pi\) | |||||||
\(32\) | −4.19202 | + | 2.01877i | −0.741052 | + | 0.356872i | ||||
\(33\) | 5.54892 | + | 2.67222i | 0.965943 | + | 0.465173i | ||||
\(34\) | 0.445042 | − | 1.94986i | 0.0763241 | − | 0.334398i | ||||
\(35\) | −0.0549581 | − | 0.240787i | −0.00928962 | − | 0.0407005i | ||||
\(36\) | −2.34601 | + | 1.12978i | −0.391002 | + | 0.188297i | ||||
\(37\) | 3.07942 | − | 3.86147i | 0.506253 | − | 0.634821i | −0.461374 | − | 0.887206i | \(-0.652643\pi\) |
0.967627 | + | 0.252385i | \(0.0812148\pi\) | |||||||
\(38\) | 0.653989 | − | 0.820077i | 0.106091 | − | 0.133034i | ||||
\(39\) | 6.35086 | + | 3.05841i | 1.01695 | + | 0.489738i | ||||
\(40\) | −0.730054 | − | 0.915458i | −0.115432 | − | 0.144747i | ||||
\(41\) | −3.10992 | −0.485687 | −0.242844 | − | 0.970065i | \(-0.578080\pi\) | ||||
−0.242844 | + | 0.970065i | \(0.578080\pi\) | |||||||
\(42\) | 0.123490 | + | 0.154851i | 0.0190549 | + | 0.0238941i | ||||
\(43\) | −0.757865 | − | 3.32042i | −0.115573 | − | 0.506360i | −0.999267 | − | 0.0382932i | \(-0.987808\pi\) |
0.883693 | − | 0.468066i | \(-0.155049\pi\) | |||||||
\(44\) | −1.98039 | − | 8.67664i | −0.298554 | − | 1.30805i | ||||
\(45\) | −0.623490 | − | 0.781831i | −0.0929444 | − | 0.116549i | ||||
\(46\) | 1.02177 | 0.150652 | ||||||||
\(47\) | 4.01842 | + | 5.03894i | 0.586146 | + | 0.735004i | 0.983148 | − | 0.182814i | \(-0.0585205\pi\) |
−0.397001 | + | 0.917818i | \(0.629949\pi\) | |||||||
\(48\) | −3.20291 | − | 1.54244i | −0.462300 | − | 0.222632i | ||||
\(49\) | −4.28501 | + | 5.37323i | −0.612145 | + | 0.767605i | ||||
\(50\) | −1.25451 | + | 1.57311i | −0.177415 | + | 0.222471i | ||||
\(51\) | 5.04892 | − | 2.43143i | 0.706990 | − | 0.340468i | ||||
\(52\) | −2.26659 | − | 9.93060i | −0.314320 | − | 1.37713i | ||||
\(53\) | 1.04407 | − | 4.57438i | 0.143414 | − | 0.628340i | −0.851213 | − | 0.524820i | \(-0.824132\pi\) |
0.994627 | − | 0.103519i | \(-0.0330104\pi\) | |||||||
\(54\) | 2.22252 | + | 1.07031i | 0.302447 | + | 0.145651i | ||||
\(55\) | 3.07942 | − | 1.48297i | 0.415228 | − | 0.199963i | ||||
\(56\) | 0.134375 | − | 0.588735i | 0.0179566 | − | 0.0786730i | ||||
\(57\) | 2.93900 | 0.389280 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −12.4940 | −1.62657 | −0.813287 | − | 0.581862i | \(-0.802324\pi\) | ||||
−0.813287 | + | 0.581862i | \(0.802324\pi\) | |||||||
\(60\) | 0.346011 | − | 1.51597i | 0.0446698 | − | 0.195711i | ||||
\(61\) | −1.48039 | + | 0.712916i | −0.189544 | + | 0.0912796i | −0.526249 | − | 0.850331i | \(-0.676402\pi\) |
0.336705 | + | 0.941610i | \(0.390688\pi\) | |||||||
\(62\) | −2.68329 | − | 1.29221i | −0.340778 | − | 0.164110i | ||||
\(63\) | 0.114761 | − | 0.502799i | 0.0144585 | − | 0.0633467i | ||||
\(64\) | 0.807979 | + | 3.53999i | 0.100997 | + | 0.442498i | ||||
\(65\) | 3.52446 | − | 1.69729i | 0.437155 | − | 0.210523i | ||||
\(66\) | −1.70895 | + | 2.14295i | −0.210357 | + | 0.263779i | ||||
\(67\) | −1.44839 | + | 1.81623i | −0.176950 | + | 0.221888i | −0.862395 | − | 0.506237i | \(-0.831036\pi\) |
0.685445 | + | 0.728124i | \(0.259608\pi\) | |||||||
\(68\) | −7.29590 | − | 3.51352i | −0.884757 | − | 0.426077i | ||||
\(69\) | 1.78501 | + | 2.23833i | 0.214890 | + | 0.269464i | ||||
\(70\) | 0.109916 | 0.0131375 | ||||||||
\(71\) | −4.57338 | − | 5.73483i | −0.542760 | − | 0.680599i | 0.432507 | − | 0.901631i | \(-0.357629\pi\) |
−0.975267 | + | 0.221031i | \(0.929058\pi\) | |||||||
\(72\) | −0.544073 | − | 2.38374i | −0.0641196 | − | 0.280926i | ||||
\(73\) | 1.25182 | + | 5.48460i | 0.146515 | + | 0.641924i | 0.993838 | + | 0.110845i | \(0.0353559\pi\) |
−0.847323 | + | 0.531078i | \(0.821787\pi\) | |||||||
\(74\) | 1.37047 | + | 1.71851i | 0.159314 | + | 0.199773i | ||||
\(75\) | −5.63773 | −0.650989 | ||||||||
\(76\) | −2.64795 | − | 3.32042i | −0.303741 | − | 0.380879i | ||||
\(77\) | 1.58815 | + | 0.764811i | 0.180986 | + | 0.0871583i | ||||
\(78\) | −1.95593 | + | 2.45265i | −0.221465 | + | 0.277708i | ||||
\(79\) | 2.90850 | − | 3.64715i | 0.327232 | − | 0.410336i | −0.590815 | − | 0.806807i | \(-0.701194\pi\) |
0.918047 | + | 0.396471i | \(0.129765\pi\) | |||||||
\(80\) | −1.77748 | + | 0.855989i | −0.198728 | + | 0.0957025i | ||||
\(81\) | 0.573376 | + | 2.51212i | 0.0637084 | + | 0.279125i | ||||
\(82\) | 0.307979 | − | 1.34934i | 0.0340105 | − | 0.149010i | ||||
\(83\) | −4.01357 | − | 1.93284i | −0.440547 | − | 0.212156i | 0.200443 | − | 0.979705i | \(-0.435762\pi\) |
−0.640990 | + | 0.767549i | \(0.721476\pi\) | |||||||
\(84\) | 0.722521 | − | 0.347948i | 0.0788335 | − | 0.0379642i | ||||
\(85\) | 0.692021 | − | 3.03194i | 0.0750603 | − | 0.328861i | ||||
\(86\) | 1.51573 | 0.163445 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 8.35690 | 0.890848 | ||||||||
\(89\) | −1.26391 | + | 5.53753i | −0.133974 | + | 0.586977i | 0.862717 | + | 0.505687i | \(0.168761\pi\) |
−0.996691 | + | 0.0812898i | \(0.974096\pi\) | |||||||
\(90\) | 0.400969 | − | 0.193096i | 0.0422658 | − | 0.0203542i | ||||
\(91\) | 1.81767 | + | 0.875342i | 0.190543 | + | 0.0917608i | ||||
\(92\) | 0.920583 | − | 4.03334i | 0.0959774 | − | 0.420505i | ||||
\(93\) | −1.85690 | − | 8.13559i | −0.192551 | − | 0.843622i | ||||
\(94\) | −2.58426 | + | 1.24451i | −0.266546 | + | 0.128362i | ||||
\(95\) | 1.01693 | − | 1.27518i | 0.104334 | − | 0.130831i | ||||
\(96\) | 3.61745 | − | 4.53614i | 0.369204 | − | 0.462968i | ||||
\(97\) | −0.162718 | − | 0.0783611i | −0.0165216 | − | 0.00795636i | 0.425605 | − | 0.904909i | \(-0.360061\pi\) |
−0.442126 | + | 0.896953i | \(0.645776\pi\) | |||||||
\(98\) | −1.90701 | − | 2.39131i | −0.192637 | − | 0.241559i | ||||
\(99\) | 7.13706 | 0.717302 | ||||||||
\(100\) | 5.07942 | + | 6.36939i | 0.507942 | + | 0.636939i | ||||
\(101\) | 0.718636 | + | 3.14855i | 0.0715070 | + | 0.313292i | 0.998015 | − | 0.0629836i | \(-0.0200616\pi\) |
−0.926508 | + | 0.376276i | \(0.877204\pi\) | |||||||
\(102\) | 0.554958 | + | 2.43143i | 0.0549490 | + | 0.240747i | ||||
\(103\) | −8.51238 | − | 10.6742i | −0.838749 | − | 1.05176i | −0.997917 | − | 0.0645070i | \(-0.979453\pi\) |
0.159168 | − | 0.987252i | \(-0.449119\pi\) | |||||||
\(104\) | 9.56465 | 0.937891 | ||||||||
\(105\) | 0.192021 | + | 0.240787i | 0.0187394 | + | 0.0234984i | ||||
\(106\) | 1.88135 | + | 0.906013i | 0.182733 | + | 0.0879997i | ||||
\(107\) | 10.1283 | − | 12.7005i | 0.979143 | − | 1.22781i | 0.00544006 | − | 0.999985i | \(-0.498268\pi\) |
0.973703 | − | 0.227821i | \(-0.0731602\pi\) | |||||||
\(108\) | 6.22737 | − | 7.80887i | 0.599229 | − | 0.751409i | ||||
\(109\) | −4.92543 | + | 2.37196i | −0.471770 | + | 0.227193i | −0.654634 | − | 0.755946i | \(-0.727177\pi\) |
0.182864 | + | 0.983138i | \(0.441463\pi\) | |||||||
\(110\) | 0.338478 | + | 1.48297i | 0.0322726 | + | 0.141396i | ||||
\(111\) | −1.37047 | + | 6.00442i | −0.130079 | + | 0.569914i | ||||
\(112\) | −0.916698 | − | 0.441459i | −0.0866199 | − | 0.0417139i | ||||
\(113\) | −9.61745 | + | 4.63152i | −0.904733 | + | 0.435697i | −0.827596 | − | 0.561324i | \(-0.810292\pi\) |
−0.0771372 | + | 0.997020i | \(0.524578\pi\) | |||||||
\(114\) | −0.291053 | + | 1.27518i | −0.0272596 | + | 0.119432i | ||||
\(115\) | 1.58881 | 0.148157 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 8.16852 | 0.755180 | ||||||||
\(118\) | 1.23729 | − | 5.42093i | 0.113902 | − | 0.499037i | ||||
\(119\) | 1.44504 | − | 0.695895i | 0.132467 | − | 0.0637926i | ||||
\(120\) | 1.31551 | + | 0.633517i | 0.120089 | + | 0.0578319i | ||||
\(121\) | −2.98039 | + | 13.0579i | −0.270944 | + | 1.18708i | ||||
\(122\) | −0.162718 | − | 0.712916i | −0.0147318 | − | 0.0645444i | ||||
\(123\) | 3.49396 | − | 1.68260i | 0.315040 | − | 0.151715i | ||||
\(124\) | −7.51842 | + | 9.42780i | −0.675174 | + | 0.846641i | ||||
\(125\) | −4.10806 | + | 5.15134i | −0.367436 | + | 0.460750i | ||||
\(126\) | 0.206791 | + | 0.0995855i | 0.0184224 | + | 0.00887178i | ||||
\(127\) | 0.646457 | + | 0.810631i | 0.0573637 | + | 0.0719319i | 0.809686 | − | 0.586864i | \(-0.199638\pi\) |
−0.752322 | + | 0.658796i | \(0.771066\pi\) | |||||||
\(128\) | −10.9215 | −0.965337 | ||||||||
\(129\) | 2.64795 | + | 3.32042i | 0.233139 | + | 0.292347i | ||||
\(130\) | 0.387395 | + | 1.69729i | 0.0339768 | + | 0.148862i | ||||
\(131\) | 1.78501 | + | 7.82065i | 0.155957 | + | 0.683293i | 0.991084 | + | 0.133236i | \(0.0425369\pi\) |
−0.835127 | + | 0.550057i | \(0.814606\pi\) | |||||||
\(132\) | 6.91939 | + | 8.67664i | 0.602255 | + | 0.755204i | ||||
\(133\) | 0.841166 | 0.0729384 | ||||||||
\(134\) | −0.644596 | − | 0.808298i | −0.0556846 | − | 0.0698263i | ||||
\(135\) | 3.45593 | + | 1.66429i | 0.297439 | + | 0.143239i | ||||
\(136\) | 4.74094 | − | 5.94495i | 0.406532 | − | 0.509775i | ||||
\(137\) | −10.7443 | + | 13.4729i | −0.917947 | + | 1.15107i | 0.0701964 | + | 0.997533i | \(0.477637\pi\) |
−0.988143 | + | 0.153536i | \(0.950934\pi\) | |||||||
\(138\) | −1.14795 | + | 0.552823i | −0.0977199 | + | 0.0470594i | ||||
\(139\) | 3.70895 | + | 16.2500i | 0.314589 | + | 1.37830i | 0.846899 | + | 0.531754i | \(0.178467\pi\) |
−0.532310 | + | 0.846550i | \(0.678676\pi\) | |||||||
\(140\) | 0.0990311 | − | 0.433884i | 0.00836966 | − | 0.0366699i | ||||
\(141\) | −7.24094 | − | 3.48705i | −0.609797 | − | 0.293663i | ||||
\(142\) | 2.94116 | − | 1.41639i | 0.246816 | − | 0.118861i | ||||
\(143\) | −6.21260 | + | 27.2192i | −0.519523 | + | 2.27618i | ||||
\(144\) | −4.11960 | −0.343300 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −2.50365 | −0.207203 | ||||||||
\(147\) | 1.90701 | − | 8.35516i | 0.157288 | − | 0.689122i | ||||
\(148\) | 8.01842 | − | 3.86147i | 0.659110 | − | 0.317411i | ||||
\(149\) | −16.7642 | − | 8.07321i | −1.37338 | − | 0.661383i | −0.405800 | − | 0.913962i | \(-0.633007\pi\) |
−0.967576 | + | 0.252578i | \(0.918721\pi\) | |||||||
\(150\) | 0.558311 | − | 2.44612i | 0.0455859 | − | 0.199725i | ||||
\(151\) | 1.67510 | + | 7.33907i | 0.136317 | + | 0.597245i | 0.996226 | + | 0.0867973i | \(0.0276633\pi\) |
−0.859909 | + | 0.510448i | \(0.829480\pi\) | |||||||
\(152\) | 3.59299 | − | 1.73029i | 0.291430 | − | 0.140345i | ||||
\(153\) | 4.04892 | − | 5.07718i | 0.327336 | − | 0.410466i | ||||
\(154\) | −0.489115 | + | 0.613331i | −0.0394140 | + | 0.0494236i | ||||
\(155\) | −4.17241 | − | 2.00933i | −0.335136 | − | 0.161393i | ||||
\(156\) | 7.91939 | + | 9.93060i | 0.634058 | + | 0.795084i | ||||
\(157\) | 18.2392 | 1.45565 | 0.727824 | − | 0.685764i | \(-0.240532\pi\) | ||||
0.727824 | + | 0.685764i | \(0.240532\pi\) | |||||||
\(158\) | 1.29440 | + | 1.62313i | 0.102977 | + | 0.129129i | ||||
\(159\) | 1.30194 | + | 5.70416i | 0.103250 | + | 0.452369i | ||||
\(160\) | −0.716480 | − | 3.13910i | −0.0566427 | − | 0.248168i | ||||
\(161\) | 0.510885 | + | 0.640630i | 0.0402634 | + | 0.0504887i | ||||
\(162\) | −1.14675 | −0.0900973 | ||||||||
\(163\) | −7.88135 | − | 9.88291i | −0.617315 | − | 0.774089i | 0.370649 | − | 0.928773i | \(-0.379135\pi\) |
−0.987964 | + | 0.154684i | \(0.950564\pi\) | |||||||
\(164\) | −5.04892 | − | 2.43143i | −0.394254 | − | 0.189863i | ||||
\(165\) | −2.65734 | + | 3.33220i | −0.206874 | + | 0.259411i | ||||
\(166\) | 1.23609 | − | 1.55001i | 0.0959395 | − | 0.120304i | ||||
\(167\) | 0.717677 | − | 0.345615i | 0.0555355 | − | 0.0267445i | −0.405910 | − | 0.913913i | \(-0.633045\pi\) |
0.461445 | + | 0.887169i | \(0.347331\pi\) | |||||||
\(168\) | 0.167563 | + | 0.734141i | 0.0129278 | + | 0.0566402i | ||||
\(169\) | −4.21768 | + | 18.4788i | −0.324437 | + | 1.42145i | ||||
\(170\) | 1.24698 | + | 0.600514i | 0.0956390 | + | 0.0460573i | ||||
\(171\) | 3.06853 | − | 1.47773i | 0.234656 | − | 0.113005i | ||||
\(172\) | 1.36563 | − | 5.98319i | 0.104128 | − | 0.456214i | ||||
\(173\) | −9.15346 | −0.695924 | −0.347962 | − | 0.937509i | \(-0.613126\pi\) | ||||
−0.347962 | + | 0.937509i | \(0.613126\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.61356 | −0.121974 | ||||||||
\(176\) | 3.13318 | − | 13.7274i | 0.236172 | − | 1.03474i | ||||
\(177\) | 14.0368 | − | 6.75978i | 1.05507 | − | 0.508096i | ||||
\(178\) | −2.27748 | − | 1.09678i | −0.170704 | − | 0.0822068i | ||||
\(179\) | −0.757865 | + | 3.32042i | −0.0566455 | + | 0.248180i | −0.995321 | − | 0.0966211i | \(-0.969196\pi\) |
0.938676 | + | 0.344801i | \(0.112054\pi\) | |||||||
\(180\) | −0.400969 | − | 1.75676i | −0.0298865 | − | 0.130941i | ||||
\(181\) | −11.4194 | + | 5.49929i | −0.848796 | + | 0.408759i | −0.807131 | − | 0.590373i | \(-0.798981\pi\) |
−0.0416657 | + | 0.999132i | \(0.513266\pi\) | |||||||
\(182\) | −0.559802 | + | 0.701970i | −0.0414953 | + | 0.0520335i | ||||
\(183\) | 1.27748 | − | 1.60191i | 0.0944340 | − | 0.118416i | ||||
\(184\) | 3.50000 | + | 1.68551i | 0.258023 | + | 0.124258i | ||||
\(185\) | 2.13102 | + | 2.67222i | 0.156676 | + | 0.196465i | ||||
\(186\) | 3.71379 | 0.272308 | ||||||||
\(187\) | 13.8388 | + | 17.3533i | 1.01199 | + | 1.26900i | ||||
\(188\) | 2.58426 | + | 11.3224i | 0.188477 | + | 0.825770i | ||||
\(189\) | 0.440198 | + | 1.92863i | 0.0320197 | + | 0.140287i | ||||
\(190\) | 0.452575 | + | 0.567511i | 0.0328332 | + | 0.0411715i | ||||
\(191\) | 10.6703 | 0.772072 | 0.386036 | − | 0.922484i | \(-0.373844\pi\) | ||||
0.386036 | + | 0.922484i | \(0.373844\pi\) | |||||||
\(192\) | −2.82304 | − | 3.53999i | −0.203736 | − | 0.255476i | ||||
\(193\) | 20.4780 | + | 9.86168i | 1.47404 | + | 0.709859i | 0.986579 | − | 0.163286i | \(-0.0522094\pi\) |
0.487459 | + | 0.873146i | \(0.337924\pi\) | |||||||
\(194\) | 0.0501138 | − | 0.0628407i | 0.00359796 | − | 0.00451170i | ||||
\(195\) | −3.04138 | + | 3.81378i | −0.217798 | + | 0.273110i | ||||
\(196\) | −11.1576 | + | 5.37323i | −0.796974 | + | 0.383802i | ||||
\(197\) | 4.35205 | + | 19.0676i | 0.310071 | + | 1.35851i | 0.854391 | + | 0.519631i | \(0.173931\pi\) |
−0.544320 | + | 0.838878i | \(0.683212\pi\) | |||||||
\(198\) | −0.706791 | + | 3.09666i | −0.0502295 | + | 0.220070i | ||||
\(199\) | 0.788364 | + | 0.379656i | 0.0558857 | + | 0.0269131i | 0.461618 | − | 0.887079i | \(-0.347269\pi\) |
−0.405732 | + | 0.913992i | \(0.632983\pi\) | |||||||
\(200\) | −6.89224 | + | 3.31913i | −0.487355 | + | 0.234698i | ||||
\(201\) | 0.644596 | − | 2.82416i | 0.0454663 | − | 0.199201i | ||||
\(202\) | −1.43727 | −0.101126 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 10.0978 | 0.706990 | ||||||||
\(205\) | 0.478894 | − | 2.09817i | 0.0334474 | − | 0.146543i | ||||
\(206\) | 5.47434 | − | 2.63631i | 0.381416 | − | 0.183680i | ||||
\(207\) | 2.98911 | + | 1.43948i | 0.207758 | + | 0.100051i | ||||
\(208\) | 3.58599 | − | 15.7112i | 0.248644 | − | 1.08938i | ||||
\(209\) | 2.59030 | + | 11.3489i | 0.179175 | + | 0.785017i | ||||
\(210\) | −0.123490 | + | 0.0594696i | −0.00852161 | + | 0.00410379i | ||||
\(211\) | 11.3904 | − | 14.2831i | 0.784146 | − | 0.983288i | −0.215830 | − | 0.976431i | \(-0.569246\pi\) |
0.999976 | − | 0.00685718i | \(-0.00218273\pi\) | |||||||
\(212\) | 5.27144 | − | 6.61017i | 0.362044 | − | 0.453989i | ||||
\(213\) | 8.24094 | + | 3.96863i | 0.564660 | + | 0.271926i | ||||
\(214\) | 4.50753 | + | 5.65227i | 0.308129 | + | 0.386381i | ||||
\(215\) | 2.35690 | 0.160739 | ||||||||
\(216\) | 5.84750 | + | 7.33254i | 0.397872 | + | 0.498916i | ||||
\(217\) | −0.531459 | − | 2.32847i | −0.0360778 | − | 0.158067i | ||||
\(218\) | −0.541385 | − | 2.37196i | −0.0366672 | − | 0.160649i | ||||
\(219\) | −4.37382 | − | 5.48460i | −0.295555 | − | 0.370615i | ||||
\(220\) | 6.15883 | 0.415228 | ||||||||
\(221\) | 15.8388 | + | 19.8612i | 1.06543 | + | 1.33601i | ||||
\(222\) | −2.46950 | − | 1.18925i | −0.165742 | − | 0.0798172i | ||||
\(223\) | −1.13371 | + | 1.42163i | −0.0759189 | + | 0.0951993i | −0.818341 | − | 0.574734i | \(-0.805106\pi\) |
0.742422 | + | 0.669933i | \(0.233677\pi\) | |||||||
\(224\) | 1.03534 | − | 1.29828i | 0.0691768 | − | 0.0867450i | ||||
\(225\) | −5.88620 | + | 2.83464i | −0.392413 | + | 0.188976i | ||||
\(226\) | −1.05711 | − | 4.63152i | −0.0703182 | − | 0.308084i | ||||
\(227\) | 3.08330 | − | 13.5088i | 0.204646 | − | 0.896612i | −0.763417 | − | 0.645906i | \(-0.776480\pi\) |
0.968063 | − | 0.250707i | \(-0.0806630\pi\) | |||||||
\(228\) | 4.77144 | + | 2.29780i | 0.315996 | + | 0.152176i | ||||
\(229\) | −11.5075 | + | 5.54174i | −0.760439 | + | 0.366208i | −0.773574 | − | 0.633706i | \(-0.781533\pi\) |
0.0131352 | + | 0.999914i | \(0.495819\pi\) | |||||||
\(230\) | −0.157342 | + | 0.689359i | −0.0103748 | + | 0.0454550i | ||||
\(231\) | −2.19806 | −0.144622 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −8.86592 | −0.580826 | −0.290413 | − | 0.956901i | \(-0.593793\pi\) | ||||
−0.290413 | + | 0.956901i | \(0.593793\pi\) | |||||||
\(234\) | −0.808938 | + | 3.54419i | −0.0528819 | + | 0.231691i | ||||
\(235\) | −4.01842 | + | 1.93517i | −0.262133 | + | 0.126236i | ||||
\(236\) | −20.2838 | − | 9.76817i | −1.32036 | − | 0.635854i | ||||
\(237\) | −1.29440 | + | 5.67116i | −0.0840806 | + | 0.368381i | ||||
\(238\) | 0.158834 | + | 0.695895i | 0.0102957 | + | 0.0451082i | ||||
\(239\) | 23.0330 | − | 11.0921i | 1.48988 | − | 0.717487i | 0.500894 | − | 0.865509i | \(-0.333005\pi\) |
0.988984 | + | 0.148022i | \(0.0472905\pi\) | |||||||
\(240\) | 1.53385 | − | 1.92339i | 0.0990097 | − | 0.124154i | ||||
\(241\) | 6.06734 | − | 7.60820i | 0.390831 | − | 0.490087i | −0.547022 | − | 0.837118i | \(-0.684239\pi\) |
0.937854 | + | 0.347031i | \(0.112810\pi\) | |||||||
\(242\) | −5.37047 | − | 2.58628i | −0.345227 | − | 0.166252i | ||||
\(243\) | 8.36443 | + | 10.4887i | 0.536578 | + | 0.672848i | ||||
\(244\) | −2.96077 | −0.189544 | ||||||||
\(245\) | −2.96532 | − | 3.71839i | −0.189447 | − | 0.237559i | ||||
\(246\) | 0.384043 | + | 1.68260i | 0.0244857 | + | 0.107279i | ||||
\(247\) | 2.96466 | + | 12.9890i | 0.188637 | + | 0.826471i | ||||
\(248\) | −7.05980 | − | 8.85271i | −0.448298 | − | 0.562148i | ||||
\(249\) | 5.55496 | 0.352031 | ||||||||
\(250\) | −1.82826 | − | 2.29256i | −0.115629 | − | 0.144994i | ||||
\(251\) | −8.79374 | − | 4.23484i | −0.555056 | − | 0.267301i | 0.135258 | − | 0.990810i | \(-0.456814\pi\) |
−0.690314 | + | 0.723509i | \(0.742528\pi\) | |||||||
\(252\) | 0.579417 | − | 0.726566i | 0.0364998 | − | 0.0457693i | ||||
\(253\) | −7.07002 | + | 8.86553i | −0.444489 | + | 0.557371i | ||||
\(254\) | −0.415739 | + | 0.200209i | −0.0260858 | + | 0.0125622i | ||||
\(255\) | 0.862937 | + | 3.78077i | 0.0540392 | + | 0.236761i | ||||
\(256\) | −0.534384 | + | 2.34129i | −0.0333990 | + | 0.146331i | ||||
\(257\) | −14.7371 | − | 7.09699i | −0.919272 | − | 0.442698i | −0.0864609 | − | 0.996255i | \(-0.527556\pi\) |
−0.832811 | + | 0.553557i | \(0.813270\pi\) | |||||||
\(258\) | −1.70291 | + | 0.820077i | −0.106018 | + | 0.0510557i | ||||
\(259\) | −0.392240 | + | 1.71851i | −0.0243726 | + | 0.106783i | ||||
\(260\) | 7.04892 | 0.437155 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.57002 | −0.220557 | ||||||||
\(263\) | 5.27897 | − | 23.1287i | 0.325515 | − | 1.42618i | −0.502066 | − | 0.864829i | \(-0.667426\pi\) |
0.827581 | − | 0.561346i | \(-0.189716\pi\) | |||||||
\(264\) | −9.38889 | + | 4.52145i | −0.577846 | + | 0.278276i | ||||
\(265\) | 2.92543 | + | 1.40881i | 0.179708 | + | 0.0865426i | ||||
\(266\) | −0.0833017 | + | 0.364968i | −0.00510755 | + | 0.0223776i | ||||
\(267\) | −1.57606 | − | 6.90519i | −0.0964536 | − | 0.422591i | ||||
\(268\) | −3.77144 | + | 1.81623i | −0.230377 | + | 0.110944i | ||||
\(269\) | −15.8083 | + | 19.8229i | −0.963847 | + | 1.20863i | 0.0141266 | + | 0.999900i | \(0.495503\pi\) |
−0.977974 | + | 0.208726i | \(0.933068\pi\) | |||||||
\(270\) | −1.06435 | + | 1.33465i | −0.0647744 | + | 0.0812245i | ||||
\(271\) | −1.08426 | − | 0.522153i | −0.0658642 | − | 0.0317185i | 0.400662 | − | 0.916226i | \(-0.368780\pi\) |
−0.466526 | + | 0.884508i | \(0.654495\pi\) | |||||||
\(272\) | −7.98792 | − | 10.0165i | −0.484339 | − | 0.607342i | ||||
\(273\) | −2.51573 | −0.152259 | ||||||||
\(274\) | −4.78166 | − | 5.99601i | −0.288871 | − | 0.362232i | ||||
\(275\) | −4.96884 | − | 21.7699i | −0.299632 | − | 1.31277i | ||||
\(276\) | 1.14795 | + | 5.02949i | 0.0690984 | + | 0.302740i | ||||
\(277\) | 6.64944 | + | 8.33813i | 0.399526 | + | 0.500990i | 0.940380 | − | 0.340127i | \(-0.110470\pi\) |
−0.540853 | + | 0.841117i | \(0.681899\pi\) | |||||||
\(278\) | −7.41789 | −0.444896 | ||||||||
\(279\) | −6.02930 | − | 7.56051i | −0.360965 | − | 0.452636i | ||||
\(280\) | 0.376510 | + | 0.181318i | 0.0225008 | + | 0.0108358i | ||||
\(281\) | −10.1501 | + | 12.7278i | −0.605504 | + | 0.759279i | −0.986225 | − | 0.165412i | \(-0.947105\pi\) |
0.380720 | + | 0.924690i | \(0.375676\pi\) | |||||||
\(282\) | 2.23005 | − | 2.79640i | 0.132798 | − | 0.166523i | ||||
\(283\) | 4.72737 | − | 2.27658i | 0.281013 | − | 0.135329i | −0.288069 | − | 0.957610i | \(-0.593013\pi\) |
0.569081 | + | 0.822281i | \(0.307299\pi\) | |||||||
\(284\) | −2.94116 | − | 12.8861i | −0.174526 | − | 0.764646i | ||||
\(285\) | −0.452575 | + | 1.98286i | −0.0268082 | + | 0.117454i | ||||
\(286\) | −11.1947 | − | 5.39109i | −0.661957 | − | 0.318782i | ||||
\(287\) | 1.00000 | − | 0.481575i | 0.0590281 | − | 0.0284265i | ||||
\(288\) | 1.49612 | − | 6.55491i | 0.0881594 | − | 0.386252i | ||||
\(289\) | 3.19567 | 0.187981 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.225209 | 0.0132020 | ||||||||
\(292\) | −2.25571 | + | 9.88291i | −0.132005 | + | 0.578353i | ||||
\(293\) | 6.09395 | − | 2.93469i | 0.356012 | − | 0.171447i | −0.247325 | − | 0.968933i | \(-0.579552\pi\) |
0.603337 | + | 0.797486i | \(0.293837\pi\) | |||||||
\(294\) | 3.43631 | + | 1.65484i | 0.200410 | + | 0.0965123i | ||||
\(295\) | 1.92394 | − | 8.42931i | 0.112016 | − | 0.490774i | ||||
\(296\) | 1.85958 | + | 8.14737i | 0.108086 | + | 0.473556i | ||||
\(297\) | −24.6652 | + | 11.8781i | −1.43122 | + | 0.689238i | ||||
\(298\) | 5.16301 | − | 6.47421i | 0.299085 | − | 0.375041i | ||||
\(299\) | −8.09179 | + | 10.1468i | −0.467961 | + | 0.586804i | ||||
\(300\) | −9.15279 | − | 4.40775i | −0.528437 | − | 0.254482i | ||||
\(301\) | 0.757865 | + | 0.950332i | 0.0436826 | + | 0.0547762i | ||||
\(302\) | −3.35019 | −0.192782 | ||||||||
\(303\) | −2.51089 | − | 3.14855i | −0.144247 | − | 0.180879i | ||||
\(304\) | −1.49516 | − | 6.55070i | −0.0857531 | − | 0.375709i | ||||
\(305\) | −0.253020 | − | 1.10855i | −0.0144879 | − | 0.0634757i | ||||
\(306\) | 1.80194 | + | 2.25956i | 0.103010 | + | 0.129170i | ||||
\(307\) | −4.51812 | −0.257863 | −0.128931 | − | 0.991654i | \(-0.541155\pi\) | ||||
−0.128931 | + | 0.991654i | \(0.541155\pi\) | |||||||
\(308\) | 1.98039 | + | 2.48333i | 0.112843 | + | 0.141501i | ||||
\(309\) | 15.3388 | + | 7.38676i | 0.872592 | + | 0.420218i | ||||
\(310\) | 1.28501 | − | 1.61135i | 0.0729838 | − | 0.0915187i | ||||
\(311\) | 7.86629 | − | 9.86401i | 0.446056 | − | 0.559337i | −0.507072 | − | 0.861904i | \(-0.669272\pi\) |
0.953128 | + | 0.302567i | \(0.0978436\pi\) | |||||||
\(312\) | −10.7458 | + | 5.17490i | −0.608360 | + | 0.292971i | ||||
\(313\) | −4.28136 | − | 18.7579i | −0.241997 | − | 1.06026i | −0.939196 | − | 0.343381i | \(-0.888428\pi\) |
0.697199 | − | 0.716877i | \(-0.254429\pi\) | |||||||
\(314\) | −1.80625 | + | 7.91370i | −0.101933 | + | 0.446596i | ||||
\(315\) | 0.321552 | + | 0.154851i | 0.0181174 | + | 0.00872488i | ||||
\(316\) | 7.57338 | − | 3.64715i | 0.426036 | − | 0.205168i | ||||
\(317\) | 0.638260 | − | 2.79640i | 0.0358482 | − | 0.157061i | −0.953836 | − | 0.300329i | \(-0.902904\pi\) |
0.989684 | + | 0.143267i | \(0.0457608\pi\) | |||||||
\(318\) | −2.60388 | −0.146018 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −2.51275 | −0.140467 | ||||||||
\(321\) | −4.50753 | + | 19.7488i | −0.251586 | + | 1.10227i | ||||
\(322\) | −0.328552 | + | 0.158222i | −0.0183095 | + | 0.00881739i | ||||
\(323\) | 9.54288 | + | 4.59561i | 0.530980 | + | 0.255706i | ||||
\(324\) | −1.03319 | + | 4.52669i | −0.0573993 | + | 0.251483i | ||||
\(325\) | −5.68694 | − | 24.9161i | −0.315455 | − | 1.38210i | ||||
\(326\) | 5.06853 | − | 2.44088i | 0.280720 | − | 0.135188i | ||||
\(327\) | 4.25033 | − | 5.32975i | 0.235044 | − | 0.294736i | ||||
\(328\) | 3.28083 | − | 4.11403i | 0.181154 | − | 0.227159i | ||||
\(329\) | −2.07242 | − | 0.998023i | −0.114256 | − | 0.0550228i | ||||
\(330\) | −1.18263 | − | 1.48297i | −0.0651015 | − | 0.0816348i | ||||
\(331\) | −3.13408 | −0.172265 | −0.0861323 | − | 0.996284i | \(-0.527451\pi\) | ||||
−0.0861323 | + | 0.996284i | \(0.527451\pi\) | |||||||
\(332\) | −5.00484 | − | 6.27588i | −0.274677 | − | 0.344433i | ||||
\(333\) | 1.58815 | + | 6.95812i | 0.0870299 | + | 0.381303i | ||||
\(334\) | 0.0788843 | + | 0.345615i | 0.00431636 | + | 0.0189112i | ||||
\(335\) | −1.00232 | − | 1.25687i | −0.0547626 | − | 0.0686701i | ||||
\(336\) | 1.26875 | 0.0692160 | ||||||||
\(337\) | −3.10656 | − | 3.89551i | −0.169225 | − | 0.212202i | 0.689986 | − | 0.723823i | \(-0.257617\pi\) |
−0.859211 | + | 0.511621i | \(0.829045\pi\) | |||||||
\(338\) | −7.59999 | − | 3.65996i | −0.413385 | − | 0.199076i | ||||
\(339\) | 8.29925 | − | 10.4069i | 0.450753 | − | 0.565227i | ||||
\(340\) | 3.49396 | − | 4.38129i | 0.189487 | − | 0.237609i | ||||
\(341\) | 29.7787 | − | 14.3407i | 1.61261 | − | 0.776591i | ||||
\(342\) | 0.337282 | + | 1.47773i | 0.0182381 | + | 0.0799063i | ||||
\(343\) | 1.10172 | − | 4.82695i | 0.0594873 | − | 0.260631i | ||||
\(344\) | 5.19202 | + | 2.50035i | 0.279935 | + | 0.134810i | ||||
\(345\) | −1.78501 | + | 0.859616i | −0.0961018 | + | 0.0462802i | ||||
\(346\) | 0.906477 | − | 3.97154i | 0.0487325 | − | 0.213511i | ||||
\(347\) | 20.1172 | 1.07995 | 0.539974 | − | 0.841682i | \(-0.318434\pi\) | ||||
0.539974 | + | 0.841682i | \(0.318434\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 20.4892 | 1.09676 | 0.548380 | − | 0.836229i | \(-0.315245\pi\) | ||||
0.548380 | + | 0.836229i | \(0.315245\pi\) | |||||||
\(350\) | 0.159793 | − | 0.700099i | 0.00854130 | − | 0.0374219i | ||||
\(351\) | −28.2298 | + | 13.5948i | −1.50680 | + | 0.725635i | ||||
\(352\) | 20.7044 | + | 9.97071i | 1.10355 | + | 0.531441i | ||||
\(353\) | −4.00484 | + | 17.5464i | −0.213156 | + | 0.933899i | 0.749250 | + | 0.662287i | \(0.230414\pi\) |
−0.962407 | + | 0.271612i | \(0.912443\pi\) | |||||||
\(354\) | 1.54288 | + | 6.75978i | 0.0820030 | + | 0.359278i | ||||
\(355\) | 4.57338 | − | 2.20242i | 0.242730 | − | 0.116892i | ||||
\(356\) | −6.38135 | + | 8.00197i | −0.338211 | + | 0.424103i | ||||
\(357\) | −1.24698 | + | 1.56366i | −0.0659972 | + | 0.0827578i | ||||
\(358\) | −1.36563 | − | 0.657650i | −0.0721755 | − | 0.0347579i | ||||
\(359\) | −14.7322 | − | 18.4736i | −0.777536 | − | 0.975000i | −1.00000 | 5.86917e-5i | \(-0.999981\pi\) | |
0.222464 | − | 0.974941i | \(-0.428590\pi\) | |||||||
\(360\) | 1.69202 | 0.0891774 | ||||||||
\(361\) | −8.38285 | − | 10.5118i | −0.441202 | − | 0.553250i | ||||
\(362\) | −1.25518 | − | 5.49929i | −0.0659706 | − | 0.289036i | ||||
\(363\) | −3.71648 | − | 16.2830i | −0.195065 | − | 0.854634i | ||||
\(364\) | 2.26659 | + | 2.84222i | 0.118802 | + | 0.148973i | ||||
\(365\) | −3.89307 | −0.203772 | ||||||||
\(366\) | 0.568532 | + | 0.712916i | 0.0297176 | + | 0.0372647i | ||||
\(367\) | −26.7075 | − | 12.8617i | −1.39412 | − | 0.671373i | −0.422161 | − | 0.906521i | \(-0.638728\pi\) |
−0.971960 | + | 0.235148i | \(0.924443\pi\) | |||||||
\(368\) | 4.08091 | − | 5.11730i | 0.212732 | − | 0.266758i | ||||
\(369\) | 2.80194 | − | 3.51352i | 0.145863 | − | 0.182906i | ||||
\(370\) | −1.37047 | + | 0.659983i | −0.0712473 | + | 0.0343109i | ||||
\(371\) | 0.372625 | + | 1.63258i | 0.0193457 | + | 0.0847592i | ||||
\(372\) | 3.34601 | − | 14.6598i | 0.173483 | − | 0.760077i | ||||
\(373\) | 22.6935 | + | 10.9286i | 1.17503 | + | 0.565862i | 0.916458 | − | 0.400131i | \(-0.131035\pi\) |
0.258567 | + | 0.965993i | \(0.416750\pi\) | |||||||
\(374\) | −8.89977 | + | 4.28590i | −0.460196 | + | 0.221619i | ||||
\(375\) | 1.82826 | − | 8.01012i | 0.0944108 | − | 0.413641i | ||||
\(376\) | −10.9051 | −0.562390 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −0.880395 | −0.0452826 | ||||||||
\(379\) | −5.98739 | + | 26.2325i | −0.307551 | + | 1.34747i | 0.550898 | + | 0.834572i | \(0.314285\pi\) |
−0.858450 | + | 0.512898i | \(0.828572\pi\) | |||||||
\(380\) | 2.64795 | − | 1.27518i | 0.135837 | − | 0.0654156i | ||||
\(381\) | −1.16487 | − | 0.560974i | −0.0596783 | − | 0.0287396i | ||||
\(382\) | −1.05669 | + | 4.62965i | −0.0540648 | + | 0.236873i | ||||
\(383\) | 4.37681 | + | 19.1760i | 0.223644 | + | 0.979850i | 0.954709 | + | 0.297542i | \(0.0961667\pi\) |
−0.731065 | + | 0.682308i | \(0.760976\pi\) | |||||||
\(384\) | 12.2702 | − | 5.90904i | 0.626163 | − | 0.301544i | ||||
\(385\) | −0.760553 | + | 0.953703i | −0.0387614 | + | 0.0486052i | ||||
\(386\) | −6.30678 | + | 7.90845i | −0.321007 | + | 0.402530i | ||||
\(387\) | 4.43416 | + | 2.13538i | 0.225401 | + | 0.108547i | ||||
\(388\) | −0.202907 | − | 0.254437i | −0.0103010 | − | 0.0129171i | ||||
\(389\) | −24.8552 | −1.26021 | −0.630103 | − | 0.776511i | \(-0.716988\pi\) | ||||
−0.630103 | + | 0.776511i | \(0.716988\pi\) | |||||||
\(390\) | −1.35354 | − | 1.69729i | −0.0685393 | − | 0.0859456i | ||||
\(391\) | 2.29590 | + | 10.0590i | 0.116108 | + | 0.508705i | ||||
\(392\) | −2.58761 | − | 11.3371i | −0.130694 | − | 0.572609i | ||||
\(393\) | −6.23676 | − | 7.82065i | −0.314603 | − | 0.394499i | ||||
\(394\) | −8.70410 | −0.438506 | ||||||||
\(395\) | 2.01275 | + | 2.52390i | 0.101272 | + | 0.126991i | ||||
\(396\) | 11.5869 | + | 5.57998i | 0.582266 | + | 0.280405i | ||||
\(397\) | −2.49061 | + | 3.12312i | −0.125000 | + | 0.156745i | −0.840393 | − | 0.541977i | \(-0.817676\pi\) |
0.715393 | + | 0.698722i | \(0.246247\pi\) | |||||||
\(398\) | −0.242799 | + | 0.304461i | −0.0121704 | + | 0.0152612i | ||||
\(399\) | −0.945042 | + | 0.455108i | −0.0473113 | + | 0.0227839i | ||||
\(400\) | 2.86808 | + | 12.5659i | 0.143404 | + | 0.628293i | ||||
\(401\) | 5.54234 | − | 24.2826i | 0.276771 | − | 1.21261i | −0.625077 | − | 0.780563i | \(-0.714933\pi\) |
0.901849 | − | 0.432052i | \(-0.142210\pi\) | |||||||
\(402\) | 1.16152 | + | 0.559360i | 0.0579315 | + | 0.0278983i | ||||
\(403\) | 34.0824 | − | 16.4132i | 1.69777 | − | 0.817601i | ||||
\(404\) | −1.29494 | + | 5.67349i | −0.0644255 | + | 0.282267i | ||||
\(405\) | −1.78315 | −0.0886055 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −24.3937 | −1.20915 | ||||||||
\(408\) | −2.10992 | + | 9.24415i | −0.104456 | + | 0.457653i | ||||
\(409\) | 0.255176 | − | 0.122886i | 0.0126177 | − | 0.00607634i | −0.427564 | − | 0.903985i | \(-0.640628\pi\) |
0.440182 | + | 0.897909i | \(0.354914\pi\) | |||||||
\(410\) | 0.862937 | + | 0.415568i | 0.0426174 | + | 0.0205235i | ||||
\(411\) | 4.78166 | − | 20.9498i | 0.235862 | − | 1.03338i | ||||
\(412\) | −5.47434 | − | 23.9847i | −0.269702 | − | 1.18164i | ||||
\(413\) | 4.01746 | − | 1.93471i | 0.197686 | − | 0.0952007i | ||||
\(414\) | −0.920583 | + | 1.15437i | −0.0452442 | + | 0.0567344i | ||||
\(415\) | 1.92208 | − | 2.41021i | 0.0943510 | − | 0.118312i | ||||
\(416\) | 23.6966 | + | 11.4117i | 1.16182 | + | 0.559504i | ||||
\(417\) | −12.9589 | − | 16.2500i | −0.634601 | − | 0.795764i | ||||
\(418\) | −5.18060 | −0.253392 | ||||||||
\(419\) | −16.5154 | − | 20.7096i | −0.806828 | − | 1.01173i | −0.999536 | − | 0.0304743i | \(-0.990298\pi\) |
0.192707 | − | 0.981256i | \(-0.438273\pi\) | |||||||
\(420\) | 0.123490 | + | 0.541044i | 0.00602569 | + | 0.0264003i | ||||
\(421\) | −3.91239 | − | 17.1413i | −0.190678 | − | 0.835415i | −0.976250 | − | 0.216645i | \(-0.930488\pi\) |
0.785572 | − | 0.618770i | \(-0.212369\pi\) | |||||||
\(422\) | 5.06920 | + | 6.35657i | 0.246765 | + | 0.309433i | ||||
\(423\) | −9.31336 | −0.452831 | ||||||||
\(424\) | 4.94989 | + | 6.20696i | 0.240388 | + | 0.301437i | ||||
\(425\) | −18.3056 | − | 8.81551i | −0.887951 | − | 0.427615i | ||||
\(426\) | −2.53803 | + | 3.18259i | −0.122968 | + | 0.154197i | ||||
\(427\) | 0.365625 | − | 0.458479i | 0.0176938 | − | 0.0221874i | ||||
\(428\) | 26.3729 | − | 12.7005i | 1.27478 | − | 0.613903i | ||||
\(429\) | −7.74698 | − | 33.9417i | −0.374028 | − | 1.63872i | ||||
\(430\) | −0.233406 | + | 1.02262i | −0.0112558 | + | 0.0493151i | ||||
\(431\) | 25.0426 | + | 12.0599i | 1.20626 | + | 0.580905i | 0.925454 | − | 0.378859i | \(-0.123684\pi\) |
0.280807 | + | 0.959764i | \(0.409398\pi\) | |||||||
\(432\) | 14.2371 | − | 6.85620i | 0.684981 | − | 0.329869i | ||||
\(433\) | 1.30745 | − | 5.72830i | 0.0628318 | − | 0.275284i | −0.933747 | − | 0.357934i | \(-0.883481\pi\) |
0.996579 | + | 0.0826499i | \(0.0263383\pi\) | |||||||
\(434\) | 1.06292 | 0.0510217 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −9.85086 | −0.471770 | ||||||||
\(437\) | −1.20410 | + | 5.27552i | −0.0576001 | + | 0.252362i | ||||
\(438\) | 2.81282 | − | 1.35458i | 0.134402 | − | 0.0647245i | ||||
\(439\) | 14.1821 | + | 6.82974i | 0.676875 | + | 0.325966i | 0.740546 | − | 0.672005i | \(-0.234567\pi\) |
−0.0636718 | + | 0.997971i | \(0.520281\pi\) | |||||||
\(440\) | −1.28687 | + | 5.63816i | −0.0613492 | + | 0.268789i | ||||
\(441\) | −2.20991 | − | 9.68223i | −0.105234 | − | 0.461059i | ||||
\(442\) | −10.1860 | + | 4.90531i | −0.484498 | + | 0.233322i | ||||
\(443\) | −4.20141 | + | 5.26841i | −0.199615 | + | 0.250310i | −0.871557 | − | 0.490295i | \(-0.836889\pi\) |
0.671942 | + | 0.740604i | \(0.265461\pi\) | |||||||
\(444\) | −6.91939 | + | 8.67664i | −0.328380 | + | 0.411775i | ||||
\(445\) | −3.54138 | − | 1.70544i | −0.167878 | − | 0.0808457i | ||||
\(446\) | −0.504549 | − | 0.632684i | −0.0238911 | − | 0.0299585i | ||||
\(447\) | 23.2024 | 1.09743 | ||||||||
\(448\) | −0.807979 | − | 1.01317i | −0.0381734 | − | 0.0478679i | ||||
\(449\) | 2.74147 | + | 12.0112i | 0.129378 | + | 0.566842i | 0.997511 | + | 0.0705106i | \(0.0224628\pi\) |
−0.868133 | + | 0.496332i | \(0.834680\pi\) | |||||||
\(450\) | −0.646989 | − | 2.83464i | −0.0304994 | − | 0.133626i | ||||
\(451\) | 9.57673 | + | 12.0088i | 0.450951 | + | 0.565474i | ||||
\(452\) | −19.2349 | −0.904733 | ||||||||
\(453\) | −5.85272 | − | 7.33907i | −0.274985 | − | 0.344820i | ||||
\(454\) | 5.55592 | + | 2.67559i | 0.260752 | + | 0.125572i | ||||
\(455\) | −0.870469 | + | 1.09153i | −0.0408082 | + | 0.0511719i | ||||
\(456\) | −3.10052 | + | 3.88793i | −0.145195 | + | 0.182069i | ||||
\(457\) | −12.3095 | + | 5.92793i | −0.575813 | + | 0.277297i | −0.699041 | − | 0.715082i | \(-0.746390\pi\) |
0.123228 | + | 0.992378i | \(0.460675\pi\) | |||||||
\(458\) | −1.26487 | − | 5.54174i | −0.0591033 | − | 0.258948i | ||||
\(459\) | −5.54288 | + | 24.2849i | −0.258719 | + | 1.13352i | ||||
\(460\) | 2.57942 | + | 1.24218i | 0.120266 | + | 0.0579170i | ||||
\(461\) | 10.4586 | − | 5.03660i | 0.487106 | − | 0.234578i | −0.174177 | − | 0.984714i | \(-0.555726\pi\) |
0.661283 | + | 0.750136i | \(0.270012\pi\) | |||||||
\(462\) | 0.217677 | − | 0.953703i | 0.0101272 | − | 0.0443703i | ||||
\(463\) | −7.24267 | −0.336595 | −0.168298 | − | 0.985736i | \(-0.553827\pi\) | ||||
−0.168298 | + | 0.985736i | \(0.553827\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 5.77479 | 0.267800 | ||||||||
\(466\) | 0.878002 | − | 3.84678i | 0.0406727 | − | 0.178199i | ||||
\(467\) | −1.85905 | + | 0.895272i | −0.0860267 | + | 0.0414283i | −0.476402 | − | 0.879227i | \(-0.658059\pi\) |
0.390376 | + | 0.920656i | \(0.372345\pi\) | |||||||
\(468\) | 13.2615 | + | 6.38641i | 0.613014 | + | 0.295212i | ||||
\(469\) | 0.184489 | − | 0.808298i | 0.00851890 | − | 0.0373237i | ||||
\(470\) | −0.441689 | − | 1.93517i | −0.0203736 | − | 0.0892626i | ||||
\(471\) | −20.4916 | + | 9.86822i | −0.944202 | + | 0.454703i | ||||
\(472\) | 13.1806 | − | 16.5280i | 0.606686 | − | 0.760761i | ||||
\(473\) | −10.4879 | + | 13.1514i | −0.482235 | + | 0.604704i | ||||
\(474\) | −2.33244 | − | 1.12324i | −0.107132 | − | 0.0515922i | ||||
\(475\) | −6.64377 | − | 8.33102i | −0.304837 | − | 0.382253i | ||||
\(476\) | 2.89008 | 0.132467 | ||||||||
\(477\) | 4.22737 | + | 5.30095i | 0.193558 | + | 0.242714i | ||||
\(478\) | 2.53170 | + | 11.0921i | 0.115797 | + | 0.507340i | ||||
\(479\) | −0.865388 | − | 3.79151i | −0.0395406 | − | 0.173239i | 0.951302 | − | 0.308260i | \(-0.0997468\pi\) |
−0.990843 | + | 0.135022i | \(0.956890\pi\) | |||||||
\(480\) | 2.50335 | + | 3.13910i | 0.114262 | + | 0.143280i | ||||
\(481\) | −27.9191 | −1.27300 | ||||||||
\(482\) | 2.70022 | + | 3.38597i | 0.122992 | + | 0.154227i | ||||
\(483\) | −0.920583 | − | 0.443330i | −0.0418880 | − | 0.0201722i | ||||
\(484\) | −15.0477 | + | 18.8692i | −0.683987 | + | 0.857693i | ||||
\(485\) | 0.0779248 | − | 0.0977147i | 0.00353839 | − | 0.00443699i | ||||
\(486\) | −5.37920 | + | 2.59049i | −0.244005 | + | 0.117507i | ||||
\(487\) | −2.19083 | − | 9.59863i | −0.0992758 | − | 0.434956i | −1.00000 | 0.000563841i | \(-0.999821\pi\) | |
0.900724 | − | 0.434392i | \(-0.143037\pi\) | |||||||
\(488\) | 0.618645 | − | 2.71046i | 0.0280048 | − | 0.122697i | ||||
\(489\) | 14.2017 | + | 6.83918i | 0.642224 | + | 0.309279i | ||||
\(490\) | 1.90701 | − | 0.918367i | 0.0861499 | − | 0.0414876i | ||||
\(491\) | 1.73370 | − | 7.59584i | 0.0782409 | − | 0.342796i | −0.920623 | − | 0.390453i | \(-0.872318\pi\) |
0.998864 | + | 0.0476574i | \(0.0151756\pi\) | |||||||
\(492\) | 6.98792 | 0.315040 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −5.92931 | −0.266772 | ||||||||
\(495\) | −1.09903 | + | 4.81517i | −0.0493978 | + | 0.216426i | ||||
\(496\) | −17.1887 | + | 8.27763i | −0.771794 | + | 0.371676i | ||||
\(497\) | 2.35862 | + | 1.13585i | 0.105799 | + | 0.0509500i | ||||
\(498\) | −0.550114 | + | 2.41021i | −0.0246512 | + | 0.108004i | ||||
\(499\) | 4.57620 | + | 20.0496i | 0.204859 | + | 0.897544i | 0.967928 | + | 0.251228i | \(0.0808343\pi\) |
−0.763069 | + | 0.646317i | \(0.776309\pi\) | |||||||
\(500\) | −10.6969 | + | 5.15134i | −0.478378 | + | 0.230375i | ||||
\(501\) | −0.619309 | + | 0.776589i | −0.0276687 | + | 0.0346955i | ||||
\(502\) | 2.70828 | − | 3.39608i | 0.120877 | − | 0.151574i | ||||
\(503\) | 7.41939 | + | 3.57299i | 0.330814 | + | 0.159312i | 0.591916 | − | 0.806000i | \(-0.298372\pi\) |
−0.261102 | + | 0.965311i | \(0.584086\pi\) | |||||||
\(504\) | 0.544073 | + | 0.682246i | 0.0242349 | + | 0.0303897i | ||||
\(505\) | −2.23490 | −0.0994517 | ||||||||
\(506\) | −3.14646 | − | 3.94553i | −0.139877 | − | 0.175400i | ||||
\(507\) | −5.25936 | − | 23.0427i | −0.233576 | − | 1.02336i | ||||
\(508\) | 0.415739 | + | 1.82147i | 0.0184454 | + | 0.0808147i | ||||
\(509\) | 4.93565 | + | 6.18911i | 0.218769 | + | 0.274327i | 0.879090 | − | 0.476656i | \(-0.158151\pi\) |
−0.660321 | + | 0.750983i | \(0.729580\pi\) | |||||||
\(510\) | −1.72587 | −0.0764230 | ||||||||
\(511\) | −1.25182 | − | 1.56974i | −0.0553774 | − | 0.0694411i | ||||
\(512\) | −20.6429 | − | 9.94108i | −0.912294 | − | 0.439338i | ||||
\(513\) | −8.14526 | + | 10.2138i | −0.359622 | + | 0.450952i | ||||
\(514\) | 4.53870 | − | 5.69135i | 0.200193 | − | 0.251034i | ||||
\(515\) | 8.51238 | − | 4.09934i | 0.375100 | − | 0.180639i | ||||
\(516\) | 1.70291 | + | 7.46092i | 0.0749663 | + | 0.328449i | ||||
\(517\) | 7.08330 | − | 31.0340i | 0.311523 | − | 1.36487i | ||||
\(518\) | −0.706791 | − | 0.340373i | −0.0310546 | − | 0.0149551i | ||||
\(519\) | 10.2838 | − | 4.95242i | 0.451409 | − | 0.217387i | ||||
\(520\) | −1.47285 | + | 6.45299i | −0.0645889 | + | 0.282982i | ||||
\(521\) | −3.52542 | −0.154451 | −0.0772257 | − | 0.997014i | \(-0.524606\pi\) | ||||
−0.0772257 | + | 0.997014i | \(0.524606\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 10.0301 | 0.438587 | 0.219294 | − | 0.975659i | \(-0.429625\pi\) | ||||
0.219294 | + | 0.975659i | \(0.429625\pi\) | |||||||
\(524\) | −3.21648 | + | 14.0923i | −0.140513 | + | 0.615626i | ||||
\(525\) | 1.81282 | − | 0.873009i | 0.0791181 | − | 0.0381013i | ||||
\(526\) | 9.51238 | + | 4.58092i | 0.414759 | + | 0.199738i | ||||
\(527\) | 6.69202 | − | 29.3197i | 0.291509 | − | 1.27718i | ||||
\(528\) | 3.90701 | + | 17.1177i | 0.170031 | + | 0.744953i | ||||
\(529\) | 15.9731 | − | 7.69226i | 0.694485 | − | 0.334446i | ||||
\(530\) | −0.900969 | + | 1.12978i | −0.0391356 | + | 0.0490745i | ||||
\(531\) | 11.2567 | − | 14.1154i | 0.488498 | − | 0.612557i | ||||
\(532\) | 1.36563 | + | 0.657650i | 0.0592074 | + | 0.0285128i | ||||
\(533\) | 10.9608 | + | 13.7444i | 0.474764 | + | 0.595335i | ||||
\(534\) | 3.15213 | 0.136406 | ||||||||
\(535\) | 7.00902 | + | 8.78904i | 0.303027 | + | 0.379983i | ||||
\(536\) | −0.874650 | − | 3.83209i | −0.0377791 | − | 0.165521i | ||||
\(537\) | −0.945042 | − | 4.14050i | −0.0407816 | − | 0.178676i | ||||
\(538\) | −7.03534 | − | 8.82204i | −0.303315 | − | 0.380345i | ||||
\(539\) | 33.9439 | 1.46207 | ||||||||
\(540\) | 4.30947 | + | 5.40391i | 0.185450 | + | 0.232547i | ||||
\(541\) | 7.40970 | + | 3.56832i | 0.318568 | + | 0.153414i | 0.586333 | − | 0.810070i | \(-0.300571\pi\) |
−0.267765 | + | 0.963484i | \(0.586285\pi\) | |||||||
\(542\) | 0.333929 | − | 0.418734i | 0.0143435 | − | 0.0179862i | ||||
\(543\) | 9.85421 | − | 12.3568i | 0.422885 | − | 0.530280i | ||||
\(544\) | 18.8388 | − | 9.07228i | 0.807706 | − | 0.388971i | ||||
\(545\) | −0.841830 | − | 3.68830i | −0.0360601 | − | 0.157989i | ||||
\(546\) | 0.249136 | − | 1.09153i | 0.0106620 | − | 0.0467133i | ||||
\(547\) | −23.3017 | − | 11.2215i | −0.996309 | − | 0.479797i | −0.136625 | − | 0.990623i | \(-0.543625\pi\) |
−0.859684 | + | 0.510826i | \(0.829340\pi\) | |||||||
\(548\) | −27.9768 | + | 13.4729i | −1.19511 | + | 0.575534i | ||||
\(549\) | 0.528344 | − | 2.31482i | 0.0225492 | − | 0.0987943i | ||||
\(550\) | 9.93767 | 0.423744 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −4.84415 | −0.206181 | ||||||||
\(553\) | −0.370469 | + | 1.62313i | −0.0157540 | + | 0.0690226i | ||||
\(554\) | −4.27628 | + | 2.05935i | −0.181682 | + | 0.0874934i | ||||
\(555\) | −3.83997 | − | 1.84923i | −0.162998 | − | 0.0784955i | ||||
\(556\) | −6.68329 | + | 29.2814i | −0.283435 | + | 1.24181i | ||||
\(557\) | −5.12014 | − | 22.4328i | −0.216947 | − | 0.950508i | −0.959719 | − | 0.280963i | \(-0.909346\pi\) |
0.742771 | − | 0.669545i | \(-0.233511\pi\) | |||||||
\(558\) | 3.87747 | − | 1.86729i | 0.164146 | − | 0.0790487i | ||||
\(559\) | −12.0036 | + | 15.0521i | −0.507700 | + | 0.636636i | ||||
\(560\) | 0.439001 | − | 0.550490i | 0.0185512 | − | 0.0232624i | ||||
\(561\) | −24.9366 | − | 12.0088i | −1.05282 | − | 0.507014i | ||||
\(562\) | −4.51722 | − | 5.66442i | −0.190547 | − | 0.238939i | ||||
\(563\) | −43.1159 | −1.81712 | −0.908559 | − | 0.417757i | \(-0.862816\pi\) | ||||
−0.908559 | + | 0.417757i | \(0.862816\pi\) | |||||||
\(564\) | −9.02930 | − | 11.3224i | −0.380202 | − | 0.476759i | ||||
\(565\) | −1.64377 | − | 7.20182i | −0.0691538 | − | 0.302983i | ||||
\(566\) | 0.519614 | + | 2.27658i | 0.0218410 | + | 0.0956918i | ||||
\(567\) | −0.573376 | − | 0.718991i | −0.0240795 | − | 0.0301948i | ||||
\(568\) | 12.4112 | 0.520762 | ||||||||
\(569\) | 15.1585 | + | 19.0081i | 0.635476 | + | 0.796862i | 0.990429 | − | 0.138022i | \(-0.0440746\pi\) |
−0.354953 | + | 0.934884i | \(0.615503\pi\) | |||||||
\(570\) | −0.815511 | − | 0.392730i | −0.0341580 | − | 0.0164496i | ||||
\(571\) | 11.5274 | − | 14.4550i | 0.482408 | − | 0.604921i | −0.479752 | − | 0.877404i | \(-0.659273\pi\) |
0.962161 | + | 0.272483i | \(0.0878448\pi\) | |||||||
\(572\) | −31.3669 | + | 39.3328i | −1.31152 | + | 1.64459i | ||||
\(573\) | −11.9879 | + | 5.77308i | −0.500802 | + | 0.241174i | ||||
\(574\) | 0.109916 | + | 0.481575i | 0.00458782 | + | 0.0201005i | ||||
\(575\) | 2.30977 | − | 10.1197i | 0.0963239 | − | 0.422023i | ||||
\(576\) | −4.72737 | − | 2.27658i | −0.196974 | − | 0.0948575i | ||||
\(577\) | −34.1090 | + | 16.4260i | −1.41998 | + | 0.683825i | −0.977105 | − | 0.212760i | \(-0.931755\pi\) |
−0.442872 | + | 0.896585i | \(0.646041\pi\) | |||||||
\(578\) | −0.316471 | + | 1.38655i | −0.0131634 | + | 0.0576728i | ||||
\(579\) | −28.3424 | −1.17787 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.58987 | 0.0659591 | ||||||||
\(582\) | −0.0223027 | + | 0.0977147i | −0.000924478 | + | 0.00405040i | ||||
\(583\) | −20.8790 | + | 10.0548i | −0.864718 | + | 0.416426i | ||||
\(584\) | −8.57606 | − | 4.13001i | −0.354880 | − | 0.170901i | ||||
\(585\) | −1.25786 | + | 5.51107i | −0.0520063 | + | 0.227855i | ||||
\(586\) | 0.669824 | + | 2.93469i | 0.0276702 | + | 0.121231i | ||||
\(587\) | 13.0058 | − | 6.26327i | 0.536807 | − | 0.258513i | −0.145780 | − | 0.989317i | \(-0.546569\pi\) |
0.682587 | + | 0.730804i | \(0.260855\pi\) | |||||||
\(588\) | 9.62833 | − | 12.0735i | 0.397066 | − | 0.497905i | ||||
\(589\) | 9.83393 | − | 12.3314i | 0.405200 | − | 0.508105i | ||||
\(590\) | 3.46681 | + | 1.66953i | 0.142726 | + | 0.0687334i | ||||
\(591\) | −15.2059 | − | 19.0676i | −0.625487 | − | 0.784336i | ||||
\(592\) | 14.0804 | 0.578700 | ||||||||
\(593\) | −8.10656 | − | 10.1653i | −0.332897 | − | 0.417439i | 0.587008 | − | 0.809581i | \(-0.300306\pi\) |
−0.919905 | + | 0.392142i | \(0.871734\pi\) | |||||||
\(594\) | −2.71110 | − | 11.8781i | −0.111238 | − | 0.487365i | ||||
\(595\) | 0.246980 | + | 1.08209i | 0.0101252 | + | 0.0443613i | ||||
\(596\) | −20.9046 | − | 26.2136i | −0.856286 | − | 1.07375i | ||||
\(597\) | −1.09113 | −0.0446570 | ||||||||
\(598\) | −3.60119 | − | 4.51575i | −0.147263 | − | 0.184663i | ||||
\(599\) | 10.8959 | + | 5.24718i | 0.445194 | + | 0.214394i | 0.643030 | − | 0.765841i | \(-0.277677\pi\) |
−0.197836 | + | 0.980235i | \(0.563391\pi\) | |||||||
\(600\) | 5.94757 | − | 7.45801i | 0.242808 | − | 0.304472i | ||||
\(601\) | 13.9333 | − | 17.4718i | 0.568349 | − | 0.712688i | −0.411727 | − | 0.911307i | \(-0.635074\pi\) |
0.980077 | + | 0.198620i | \(0.0636458\pi\) | |||||||
\(602\) | −0.487386 | + | 0.234713i | −0.0198644 | + | 0.00956618i | ||||
\(603\) | −0.746980 | − | 3.27273i | −0.0304194 | − | 0.133276i | ||||
\(604\) | −3.01842 | + | 13.2246i | −0.122818 | + | 0.538099i | ||||
\(605\) | −8.35086 | − | 4.02156i | −0.339511 | − | 0.163500i | ||||
\(606\) | 1.61476 | − | 0.777628i | 0.0655952 | − | 0.0315890i | ||||
\(607\) | 9.22766 | − | 40.4290i | 0.374539 | − | 1.64096i | −0.339318 | − | 0.940672i | \(-0.610196\pi\) |
0.713857 | − | 0.700292i | \(-0.246947\pi\) | |||||||
\(608\) | 10.9661 | 0.444736 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.506041 | 0.0204890 | ||||||||
\(611\) | 8.10699 | − | 35.5190i | 0.327974 | − | 1.43695i | ||||
\(612\) | 10.5429 | − | 5.07718i | 0.426171 | − | 0.205233i | ||||
\(613\) | −23.2310 | − | 11.1875i | −0.938292 | − | 0.451858i | −0.0987255 | − | 0.995115i | \(-0.531477\pi\) |
−0.839566 | + | 0.543257i | \(0.817191\pi\) | |||||||
\(614\) | 0.447435 | − | 1.96034i | 0.0180570 | − | 0.0791129i | ||||
\(615\) | 0.597171 | + | 2.61638i | 0.0240802 | + | 0.105502i | ||||
\(616\) | −2.68718 | + | 1.29408i | −0.108269 | + | 0.0521398i | ||||
\(617\) | −5.52744 | + | 6.93119i | −0.222526 | + | 0.279039i | −0.880545 | − | 0.473962i | \(-0.842823\pi\) |
0.658019 | + | 0.753002i | \(0.271395\pi\) | |||||||
\(618\) | −4.72401 | + | 5.92372i | −0.190028 | + | 0.238287i | ||||
\(619\) | 26.5347 | + | 12.7784i | 1.06652 | + | 0.513608i | 0.882983 | − | 0.469405i | \(-0.155531\pi\) |
0.183536 | + | 0.983013i | \(0.441246\pi\) | |||||||
\(620\) | −5.20291 | − | 6.52424i | −0.208954 | − | 0.262020i | ||||
\(621\) | −12.7259 | −0.510672 | ||||||||
\(622\) | 3.50083 | + | 4.38990i | 0.140370 | + | 0.176019i | ||||
\(623\) | −0.451083 | − | 1.97632i | −0.0180722 | − | 0.0791797i | ||||
\(624\) | 4.47166 | + | 19.5916i | 0.179010 | + | 0.784292i | ||||
\(625\) | 11.2515 | + | 14.1089i | 0.450058 | + | 0.564355i | ||||
\(626\) | 8.56273 | 0.342235 | ||||||||
\(627\) | −9.05041 | − | 11.3489i | −0.361439 | − | 0.453230i | ||||
\(628\) | 29.6112 | + | 14.2600i | 1.18161 | + | 0.569035i | ||||
\(629\) | −13.8388 | + | 17.3533i | −0.551788 | + | 0.691920i | ||||
\(630\) | −0.0990311 | + | 0.124181i | −0.00394549 | + | 0.00494749i | ||||
\(631\) | −21.4170 | + | 10.3139i | −0.852597 | + | 0.410589i | −0.808541 | − | 0.588440i | \(-0.799742\pi\) |
−0.0440561 | + | 0.999029i | \(0.514028\pi\) | |||||||
\(632\) | 1.75637 | + | 7.69517i | 0.0698648 | + | 0.306098i | ||||
\(633\) | −5.06920 | + | 22.2096i | −0.201482 | + | 0.882752i | ||||
\(634\) | 1.15010 | + | 0.553861i | 0.0456765 | + | 0.0219966i | ||||
\(635\) | −0.646457 | + | 0.311317i | −0.0256538 | + | 0.0123542i | ||||
\(636\) | −2.34601 | + | 10.2785i | −0.0930254 | + | 0.407571i | ||||
\(637\) | 38.8495 | 1.53927 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 10.5996 | 0.419312 | ||||||||
\(640\) | 1.68180 | − | 7.36845i | 0.0664790 | − | 0.291264i | ||||
\(641\) | 25.6465 | − | 12.3507i | 1.01298 | − | 0.487824i | 0.147654 | − | 0.989039i | \(-0.452828\pi\) |
0.865323 | + | 0.501215i | \(0.167114\pi\) | |||||||
\(642\) | −8.12229 | − | 3.91149i | −0.320561 | − | 0.154374i | ||||
\(643\) | 4.30505 | − | 18.8617i | 0.169775 | − | 0.743832i | −0.816314 | − | 0.577609i | \(-0.803986\pi\) |
0.986088 | − | 0.166223i | \(-0.0531570\pi\) | |||||||
\(644\) | 0.328552 | + | 1.43948i | 0.0129468 | + | 0.0567235i | ||||
\(645\) | −2.64795 | + | 1.27518i | −0.104263 | + | 0.0502104i | ||||
\(646\) | −2.93900 | + | 3.68539i | −0.115633 | + | 0.145000i | ||||
\(647\) | 14.1622 | − | 17.7588i | 0.556773 | − | 0.698171i | −0.421185 | − | 0.906975i | \(-0.638386\pi\) |
0.977958 | + | 0.208804i | \(0.0669570\pi\) | |||||||
\(648\) | −3.92812 | − | 1.89168i | −0.154311 | − | 0.0743122i | ||||
\(649\) | 38.4741 | + | 48.2450i | 1.51024 | + | 1.89378i | ||||
\(650\) | 11.3739 | 0.446120 | ||||||||
\(651\) | 1.85690 | + | 2.32847i | 0.0727775 | + | 0.0912601i | ||||
\(652\) | −5.06853 | − | 22.2067i | −0.198499 | − | 0.869681i | ||||
\(653\) | 5.10268 | + | 22.3563i | 0.199683 | + | 0.874870i | 0.971125 | + | 0.238570i | \(0.0766786\pi\) |
−0.771442 | + | 0.636300i | \(0.780464\pi\) | |||||||
\(654\) | 1.89158 | + | 2.37196i | 0.0739665 | + | 0.0927510i | ||||
\(655\) | −5.55124 | −0.216905 | ||||||||
\(656\) | −5.52781 | − | 6.93166i | −0.215825 | − | 0.270636i | ||||
\(657\) | −7.32424 | − | 3.52717i | −0.285746 | − | 0.137608i | ||||
\(658\) | 0.638260 | − | 0.800352i | 0.0248820 | − | 0.0312010i | ||||
\(659\) | 11.9574 | − | 14.9941i | 0.465795 | − | 0.584088i | −0.492341 | − | 0.870402i | \(-0.663859\pi\) |
0.958136 | + | 0.286314i | \(0.0924301\pi\) | |||||||
\(660\) | −6.91939 | + | 3.33220i | −0.269337 | + | 0.129706i | ||||
\(661\) | 0.753553 | + | 3.30153i | 0.0293098 | + | 0.128415i | 0.987466 | − | 0.157831i | \(-0.0504500\pi\) |
−0.958156 | + | 0.286245i | \(0.907593\pi\) | |||||||
\(662\) | 0.310371 | − | 1.35983i | 0.0120629 | − | 0.0528511i | ||||
\(663\) | −28.5405 | − | 13.7444i | −1.10842 | − | 0.533787i | ||||
\(664\) | 6.79105 | − | 3.27040i | 0.263544 | − | 0.126916i | ||||
\(665\) | −0.129531 | + | 0.567511i | −0.00502298 | + | 0.0220071i | ||||
\(666\) | −3.17629 | −0.123079 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 1.43535 | 0.0555355 | ||||||||
\(669\) | 0.504549 | − | 2.21057i | 0.0195070 | − | 0.0854657i | ||||
\(670\) | 0.644596 | − | 0.310421i | 0.0249029 | − | 0.0119926i | ||||
\(671\) | 7.31163 | + | 3.52109i | 0.282262 | + | 0.135930i | ||||
\(672\) | −0.460771 | + | 2.01877i | −0.0177746 | + | 0.0778758i | ||||
\(673\) | −1.06153 | − | 4.65087i | −0.0409190 | − | 0.179278i | 0.950339 | − | 0.311217i | \(-0.100737\pi\) |
−0.991258 | + | 0.131939i | \(0.957880\pi\) | |||||||
\(674\) | 1.99784 | − | 0.962111i | 0.0769541 | − | 0.0370591i | ||||
\(675\) | 15.6246 | − | 19.5926i | 0.601392 | − | 0.754121i | ||||
\(676\) | −21.2947 | + | 26.7027i | −0.819027 | + | 1.02703i | ||||
\(677\) | −38.8228 | − | 18.6961i | −1.49208 | − | 0.718549i | −0.502778 | − | 0.864416i | \(-0.667688\pi\) |
−0.989304 | + | 0.145867i | \(0.953403\pi\) | |||||||
\(678\) | 3.69351 | + | 4.63152i | 0.141849 | + | 0.177872i | ||||
\(679\) | 0.0644568 | 0.00247362 | ||||||||
\(680\) | 3.28083 | + | 4.11403i | 0.125814 | + | 0.157766i | ||||
\(681\) | 3.84481 | + | 16.8452i | 0.147334 | + | 0.645511i | ||||
\(682\) | 3.27317 | + | 14.3407i | 0.125336 | + | 0.549133i | ||||
\(683\) | 14.6102 | + | 18.3206i | 0.559044 | + | 0.701019i | 0.978381 | − | 0.206812i | \(-0.0663087\pi\) |
−0.419337 | + | 0.907831i | \(0.637737\pi\) | |||||||
\(684\) | 6.13706 | 0.234656 | ||||||||
\(685\) | −7.43528 | − | 9.32355i | −0.284087 | − | 0.356234i | ||||
\(686\) | 1.98523 | + | 0.956036i | 0.0757964 | + | 0.0365016i | ||||
\(687\) | 9.93027 | − | 12.4522i | 0.378864 | − | 0.475080i | ||||
\(688\) | 6.05376 | − | 7.59118i | 0.230798 | − | 0.289411i | ||||
\(689\) | −23.8964 | + | 11.5079i | −0.910381 | + | 0.438416i | ||||
\(690\) | −0.196202 | − | 0.859616i | −0.00746928 | − | 0.0327250i | ||||
\(691\) | −9.59903 | + | 42.0561i | −0.365164 | + | 1.59989i | 0.374708 | + | 0.927143i | \(0.377743\pi\) |
−0.739873 | + | 0.672747i | \(0.765114\pi\) | |||||||
\(692\) | −14.8605 | − | 7.15646i | −0.564913 | − | 0.272048i | ||||
\(693\) | −2.29494 | + | 1.10518i | −0.0871775 | + | 0.0419825i | ||||
\(694\) | −1.99223 | + | 8.72853i | −0.0756240 | + | 0.331331i | ||||
\(695\) | −11.5345 | −0.437529 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 13.9758 | 0.529373 | ||||||||
\(698\) | −2.02907 | + | 8.88992i | −0.0768013 | + | 0.336488i | ||||
\(699\) | 9.96077 | − | 4.79685i | 0.376751 | − | 0.181434i | ||||
\(700\) | −2.61960 | − | 1.26154i | −0.0990118 | − | 0.0476816i | ||||
\(701\) | −0.941453 | + | 4.12477i | −0.0355582 | + | 0.155791i | −0.989590 | − | 0.143914i | \(-0.954031\pi\) |
0.954032 | + | 0.299705i | \(0.0968882\pi\) | |||||||
\(702\) | −3.10292 | − | 13.5948i | −0.117112 | − | 0.513101i | ||||
\(703\) | −10.4879 | + | 5.05072i | −0.395559 | + | 0.190491i | ||||
\(704\) | 11.1814 | − | 14.0211i | 0.421416 | − | 0.528439i | ||||
\(705\) | 3.46764 | − | 4.34828i | 0.130599 | − | 0.163766i | ||||
\(706\) | −7.21648 | − | 3.47527i | −0.271596 | − | 0.130794i | ||||
\(707\) | −0.718636 | − | 0.901141i | −0.0270271 | − | 0.0338909i | ||||
\(708\) | 28.0737 | 1.05507 | ||||||||
\(709\) | 8.91819 | + | 11.1831i | 0.334930 | + | 0.419989i | 0.920567 | − | 0.390585i | \(-0.127727\pi\) |
−0.585637 | + | 0.810573i | \(0.699156\pi\) | |||||||
\(710\) | 0.502688 | + | 2.20242i | 0.0188656 | + | 0.0826554i | ||||
\(711\) | 1.50000 | + | 6.57193i | 0.0562544 | + | 0.246467i | ||||
\(712\) | −5.99210 | − | 7.51385i | −0.224563 | − | 0.281594i | ||||
\(713\) | 15.3642 | 0.575393 | ||||||||
\(714\) | −0.554958 | − | 0.695895i | −0.0207688 | − | 0.0260432i | ||||
\(715\) | −17.4073 | − | 8.38292i | −0.650996 | − | 0.313503i | ||||
\(716\) | −3.82640 | + | 4.79815i | −0.142999 | + | 0.179315i | ||||
\(717\) | −19.8760 | + | 24.9237i | −0.742282 | + | 0.930792i | ||||
\(718\) | 9.47434 | − | 4.56260i | 0.353579 | − | 0.170275i | ||||
\(719\) | 5.21605 | + | 22.8530i | 0.194526 | + | 0.852274i | 0.974128 | + | 0.225998i | \(0.0725644\pi\) |
−0.779602 | + | 0.626276i | \(0.784578\pi\) | |||||||
\(720\) | 0.634375 | − | 2.77938i | 0.0236418 | − | 0.103581i | ||||
\(721\) | 4.39008 | + | 2.11415i | 0.163495 | + | 0.0787352i | ||||
\(722\) | 5.39104 | − | 2.59619i | 0.200634 | − | 0.0966202i | ||||
\(723\) | −2.70022 | + | 11.8304i | −0.100422 | + | 0.439978i | ||||
\(724\) | −22.8388 | −0.848796 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 7.43296 | 0.275863 | ||||||||
\(727\) | 11.5706 | − | 50.6939i | 0.429128 | − | 1.88013i | −0.0438137 | − | 0.999040i | \(-0.513951\pi\) |
0.472942 | − | 0.881094i | \(-0.343192\pi\) | |||||||
\(728\) | −3.07553 | + | 1.48110i | −0.113987 | + | 0.0548931i | ||||
\(729\) | −22.0368 | − | 10.6124i | −0.816179 | − | 0.393051i | ||||
\(730\) | 0.385535 | − | 1.68914i | 0.0142693 | − | 0.0625178i | ||||
\(731\) | 3.40581 | + | 14.9218i | 0.125969 | + | 0.551904i | ||||
\(732\) | 3.32640 | − | 1.60191i | 0.122947 | − | 0.0592082i | ||||
\(733\) | −21.3173 | + | 26.7310i | −0.787372 | + | 0.987334i | 0.212576 | + | 0.977145i | \(0.431815\pi\) |
−0.999948 | + | 0.0101892i | \(0.996757\pi\) | |||||||
\(734\) | 8.22534 | − | 10.3143i | 0.303603 | − | 0.380706i | ||||
\(735\) | 5.34332 | + | 2.57321i | 0.197091 | + | 0.0949142i | ||||
\(736\) | 6.66033 | + | 8.35178i | 0.245503 | + | 0.307851i | ||||
\(737\) | 11.4735 | 0.422632 | ||||||||
\(738\) | 1.24698 | + | 1.56366i | 0.0459020 | + | 0.0575592i | ||||
\(739\) | 8.85032 | + | 38.7758i | 0.325564 | + | 1.42639i | 0.827490 | + | 0.561480i | \(0.189768\pi\) |
−0.501926 | + | 0.864911i | \(0.667375\pi\) | |||||||
\(740\) | 1.37047 | + | 6.00442i | 0.0503795 | + | 0.220727i | ||||
\(741\) | −10.3584 | − | 12.9890i | −0.380525 | − | 0.477163i | ||||
\(742\) | −0.745251 | −0.0273590 | ||||||||
\(743\) | −4.47554 | − | 5.61215i | −0.164192 | − | 0.205890i | 0.692929 | − | 0.721006i | \(-0.256320\pi\) |
−0.857120 | + | 0.515116i | \(0.827749\pi\) | |||||||
\(744\) | 12.7213 | + | 6.12627i | 0.466386 | + | 0.224600i | ||||
\(745\) | 8.02827 | − | 10.0671i | 0.294133 | − | 0.368831i | ||||
\(746\) | −6.98911 | + | 8.76407i | −0.255890 | + | 0.320876i | ||||
\(747\) | 5.79978 | − | 2.79303i | 0.212203 | − | 0.102192i | ||||
\(748\) | 8.89977 | + | 38.9925i | 0.325408 | + | 1.42571i | ||||
\(749\) | −1.29009 | + | 5.65227i | −0.0471390 | + | 0.206529i | ||||
\(750\) | 3.29440 | + | 1.58650i | 0.120295 | + | 0.0579309i | ||||
\(751\) | −24.4780 | + | 11.7880i | −0.893215 | + | 0.430150i | −0.823433 | − | 0.567413i | \(-0.807944\pi\) |
−0.0697812 | + | 0.997562i | \(0.522230\pi\) | |||||||
\(752\) | −4.08857 | + | 17.9132i | −0.149095 | + | 0.653228i | ||||
\(753\) | 12.1709 | 0.443533 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −5.20941 | −0.189590 | ||||||||
\(756\) | −0.793209 | + | 3.47527i | −0.0288487 | + | 0.126394i | ||||
\(757\) | 21.3463 | − | 10.2798i | 0.775845 | − | 0.373627i | −0.00368433 | − | 0.999993i | \(-0.501173\pi\) |
0.779529 | + | 0.626366i | \(0.215458\pi\) | |||||||
\(758\) | −10.7889 | − | 5.19566i | −0.391870 | − | 0.188715i | ||||
\(759\) | 3.14646 | − | 13.7855i | 0.114209 | − | 0.500383i | ||||
\(760\) | 0.614097 | + | 2.69053i | 0.0222756 | + | 0.0975959i | ||||
\(761\) | 12.8427 | − | 6.18470i | 0.465546 | − | 0.224195i | −0.186380 | − | 0.982478i | \(-0.559676\pi\) |
0.651926 | + | 0.758283i | \(0.273961\pi\) | |||||||
\(762\) | 0.358756 | − | 0.449866i | 0.0129964 | − | 0.0162969i | ||||
\(763\) | 1.21648 | − | 1.52542i | 0.0440395 | − | 0.0552238i | ||||
\(764\) | 17.3230 | + | 8.34234i | 0.626726 | + | 0.301815i | ||||
\(765\) | 2.80194 | + | 3.51352i | 0.101304 | + | 0.127032i | ||||
\(766\) | −8.75361 | −0.316281 | ||||||||
\(767\) | 44.0344 | + | 55.2174i | 1.58999 | + | 1.99379i | ||||
\(768\) | −0.666366 | − | 2.91954i | −0.0240454 | − | 0.105350i | ||||
\(769\) | −9.94816 | − | 43.5857i | −0.358740 | − | 1.57174i | −0.756337 | − | 0.654182i | \(-0.773013\pi\) |
0.397598 | − | 0.917560i | \(-0.369844\pi\) | |||||||
\(770\) | −0.338478 | − | 0.424438i | −0.0121979 | − | 0.0152957i | ||||
\(771\) | 20.3967 | 0.734570 | ||||||||
\(772\) | 25.5356 | + | 32.0207i | 0.919048 | + | 1.15245i | ||||
\(773\) | 20.6761 | + | 9.95706i | 0.743666 | + | 0.358131i | 0.767043 | − | 0.641596i | \(-0.221727\pi\) |
−0.0233767 | + | 0.999727i | \(0.507442\pi\) | |||||||
\(774\) | −1.36563 | + | 1.71244i | −0.0490864 | + | 0.0615524i | ||||
\(775\) | −18.8639 | + | 23.6546i | −0.677611 | + | 0.849698i | ||||
\(776\) | 0.275323 | − | 0.132589i | 0.00988352 | − | 0.00475965i | ||||
\(777\) | −0.489115 | − | 2.14295i | −0.0175469 | − | 0.0768780i | ||||
\(778\) | 2.46144 | − | 10.7843i | 0.0882467 | − | 0.386634i | ||||
\(779\) | 6.60388 | + | 3.18026i | 0.236608 | + | 0.113945i | ||||
\(780\) | −7.91939 | + | 3.81378i | −0.283560 | + | 0.136555i | ||||
\(781\) | −8.06153 | + | 35.3199i | −0.288464 | + | 1.26384i | ||||
\(782\) | −4.59179 | −0.164202 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −19.5929 | −0.699745 | ||||||||
\(785\) | −2.80864 | + | 12.3055i | −0.100245 | + | 0.439201i | ||||
\(786\) | 4.01089 | − | 1.93154i | 0.143064 | − | 0.0688958i | ||||
\(787\) | −12.9133 | − | 6.21874i | −0.460311 | − | 0.221674i | 0.189333 | − | 0.981913i | \(-0.439368\pi\) |
−0.649644 | + | 0.760239i | \(0.725082\pi\) | |||||||
\(788\) | −7.84213 | + | 34.3586i | −0.279364 | + | 1.22397i | ||||
\(789\) | 6.58277 | + | 28.8410i | 0.234353 | + | 1.02677i | ||||
\(790\) | −1.29440 | + | 0.623353i | −0.0460529 | + | 0.0221779i | ||||
\(791\) | 2.37531 | − | 2.97855i | 0.0844564 | − | 0.105905i | ||||
\(792\) | −7.52930 | + | 9.44145i | −0.267542 | + | 0.335487i | ||||
\(793\) | 8.36831 | + | 4.02997i | 0.297168 | + | 0.143108i | ||||
\(794\) | −1.10842 | − | 1.38992i | −0.0393365 | − | 0.0493264i | ||||
\(795\) | −4.04892 | −0.143600 | ||||||||
\(796\) | 0.983074 | + | 1.23274i | 0.0348441 | + | 0.0436932i | ||||
\(797\) | 2.26822 | + | 9.93771i | 0.0803444 | + | 0.352012i | 0.999081 | − | 0.0428588i | \(-0.0136466\pi\) |
−0.918737 | + | 0.394871i | \(0.870789\pi\) | |||||||
\(798\) | −0.103875 | − | 0.455108i | −0.00367715 | − | 0.0161107i | ||||
\(799\) | −18.0586 | − | 22.6448i | −0.638868 | − | 0.801115i | ||||
\(800\) | −21.0358 | −0.743727 | ||||||||
\(801\) | −5.11745 | − | 6.41708i | −0.180816 | − | 0.226736i | ||||
\(802\) | 9.98696 | + | 4.80947i | 0.352652 | + | 0.169828i | ||||
\(803\) | 17.3237 | − | 21.7232i | 0.611340 | − | 0.766597i | ||||
\(804\) | 3.25451 | − | 4.08103i | 0.114778 | − | 0.143927i | ||||
\(805\) | −0.510885 | + | 0.246029i | −0.0180063 | + | 0.00867139i | ||||
\(806\) | 3.74621 | + | 16.4132i | 0.131955 | + | 0.578131i | ||||
\(807\) | 7.03534 | − | 30.8239i | 0.247656 | − | 1.08505i | ||||
\(808\) | −4.92327 | − | 2.37092i | −0.173200 | − | 0.0834088i | ||||
\(809\) | 8.08426 | − | 3.89317i | 0.284227 | − | 0.136877i | −0.286338 | − | 0.958129i | \(-0.592438\pi\) |
0.570566 | + | 0.821252i | \(0.306724\pi\) | |||||||
\(810\) | 0.176587 | − | 0.773680i | 0.00620465 | − | 0.0271844i | ||||
\(811\) | −28.5628 | −1.00298 | −0.501489 | − | 0.865164i | \(-0.667214\pi\) | ||||
−0.501489 | + | 0.865164i | \(0.667214\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.50066 | 0.0526306 | ||||||||
\(814\) | 2.41574 | − | 10.5840i | 0.0846716 | − | 0.370971i | ||||
\(815\) | 7.88135 | − | 3.79546i | 0.276072 | − | 0.132949i | ||||
\(816\) | 14.3937 | + | 6.93166i | 0.503881 | + | 0.242656i | ||||
\(817\) | −1.78621 | + | 7.82589i | −0.0624915 | + | 0.273793i | ||||
\(818\) | 0.0280480 | + | 0.122886i | 0.000980676 | + | 0.00429662i | ||||
\(819\) | −2.62661 | + | 1.26491i | −0.0917810 | + | 0.0441994i | ||||
\(820\) | 2.41789 | − | 3.03194i | 0.0844365 | − | 0.105880i | ||||
\(821\) | 7.06734 | − | 8.86216i | 0.246652 | − | 0.309291i | −0.643059 | − | 0.765817i | \(-0.722335\pi\) |
0.889710 | + | 0.456526i | \(0.150906\pi\) | |||||||
\(822\) | 8.61625 | + | 4.14937i | 0.300526 | + | 0.144726i | ||||
\(823\) | −3.53654 | − | 4.43468i | −0.123276 | − | 0.154583i | 0.716364 | − | 0.697727i | \(-0.245805\pi\) |
−0.839640 | + | 0.543144i | \(0.817234\pi\) | |||||||
\(824\) | 23.1008 | 0.804755 | ||||||||
\(825\) | 17.3609 | + | 21.7699i | 0.604429 | + | 0.757930i | ||||
\(826\) | 0.441584 | + | 1.93471i | 0.0153647 | + | 0.0673170i | ||||
\(827\) | −0.646030 | − | 2.83044i | −0.0224646 | − | 0.0984241i | 0.962453 | − | 0.271449i | \(-0.0875029\pi\) |
−0.984917 | + | 0.173025i | \(0.944646\pi\) | |||||||
\(828\) | 3.72737 | + | 4.67397i | 0.129535 | + | 0.162432i | ||||
\(829\) | 45.2137 | 1.57034 | 0.785169 | − | 0.619282i | \(-0.212576\pi\) | ||||
0.785169 | + | 0.619282i | \(0.212576\pi\) | |||||||
\(830\) | 0.855404 | + | 1.07264i | 0.0296915 | + | 0.0372320i | ||||
\(831\) | −11.9819 | − | 5.77017i | −0.415647 | − | 0.200165i | ||||
\(832\) | 12.7974 | − | 16.0474i | 0.443670 | − | 0.556344i | ||||
\(833\) | 19.2567 | − | 24.1471i | 0.667204 | − | 0.836647i | ||||
\(834\) | 8.33393 | − | 4.01341i | 0.288580 | − | 0.138973i | ||||
\(835\) | 0.122662 | + | 0.537417i | 0.00424489 | + | 0.0185981i | ||||
\(836\) | −4.66756 | + | 20.4499i | −0.161431 | + | 0.707276i | ||||
\(837\) | 33.4197 | + | 16.0941i | 1.15515 | + | 0.556292i | ||||
\(838\) | 10.6211 | − | 5.11485i | 0.366900 | − | 0.176690i | ||||
\(839\) | −10.1527 | + | 44.4817i | −0.350509 | + | 1.53568i | 0.425501 | + | 0.904958i | \(0.360098\pi\) |
−0.776009 | + | 0.630721i | \(0.782759\pi\) | |||||||
\(840\) | −0.521106 | −0.0179799 | ||||||||
\(841\) | 0 | 0 | ||||||||
\(842\) | 7.82477 | 0.269659 | ||||||||
\(843\) | 4.51722 | − | 19.7912i | 0.155581 | − | 0.681647i | ||||
\(844\) | 29.6591 | − | 14.2831i | 1.02091 | − | 0.491644i | ||||
\(845\) | −11.8177 | − | 5.69109i | −0.406540 | − | 0.195779i | ||||
\(846\) | 0.922312 | − | 4.04091i | 0.0317097 | − | 0.138929i | ||||
\(847\) | −1.06369 | − | 4.66032i | −0.0365487 | − | 0.160130i | ||||
\(848\) | 12.0516 | − | 5.80375i | 0.413854 | − | 0.199302i | ||||
\(849\) | −4.07942 | + | 5.11543i | −0.140005 | + | 0.175561i | ||||
\(850\) | 5.63773 | − | 7.06949i | 0.193372 | − | 0.242481i | ||||
\(851\) | −10.2165 | − | 4.92000i | −0.350216 | − | 0.168655i | ||||
\(852\) | 10.2763 | + | 12.8861i | 0.352060 | + | 0.441469i | ||||
\(853\) | 36.9288 | 1.26442 | 0.632210 | − | 0.774797i | \(-0.282148\pi\) | ||||
0.632210 | + | 0.774797i | \(0.282148\pi\) | |||||||
\(854\) | 0.162718 | + | 0.204042i | 0.00556811 | + | 0.00698219i | ||||
\(855\) | 0.524459 | + | 2.29780i | 0.0179361 | + | 0.0785832i | ||||
\(856\) | 6.11625 | + | 26.7971i | 0.209049 | + | 0.915904i | ||||
\(857\) | 22.1652 | + | 27.7942i | 0.757148 | + | 0.949433i | 0.999786 | − | 0.0206835i | \(-0.00658425\pi\) |
−0.242638 | + | 0.970117i | \(0.578013\pi\) | |||||||
\(858\) | 15.4940 | 0.528955 | ||||||||
\(859\) | −26.4242 | − | 33.1349i | −0.901583 | − | 1.13055i | −0.990907 | − | 0.134547i | \(-0.957042\pi\) |
0.0893241 | − | 0.996003i | \(-0.471529\pi\) | |||||||
\(860\) | 3.82640 | + | 1.84270i | 0.130479 | + | 0.0628354i | ||||
\(861\) | −0.862937 | + | 1.08209i | −0.0294088 | + | 0.0368775i | ||||
\(862\) | −7.71260 | + | 9.67129i | −0.262692 | + | 0.329405i | ||||
\(863\) | −44.8500 | + | 21.5986i | −1.52671 | + | 0.735225i | −0.993825 | − | 0.110962i | \(-0.964607\pi\) |
−0.532886 | + | 0.846187i | \(0.678892\pi\) | |||||||
\(864\) | 5.73878 | + | 25.1433i | 0.195237 | + | 0.855391i | ||||
\(865\) | 1.40953 | − | 6.17557i | 0.0479256 | − | 0.209976i | ||||
\(866\) | 2.35594 | + | 1.13456i | 0.0800580 | + | 0.0385539i | ||||
\(867\) | −3.59030 | + | 1.72900i | −0.121933 | + | 0.0587199i | ||||
\(868\) | 0.957656 | − | 4.19576i | 0.0325050 | − | 0.142414i | ||||
\(869\) | −23.0398 | −0.781572 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 13.1317 | 0.444950 | ||||||||
\(872\) | 2.05831 | − | 9.01805i | 0.0697032 | − | 0.305390i | ||||
\(873\) | 0.235135 | − | 0.113235i | 0.00795811 | − | 0.00383243i | ||||
\(874\) | −2.16972 | − | 1.04488i | −0.0733918 | − | 0.0353436i | ||||
\(875\) | 0.523262 | − | 2.29256i | 0.0176895 | − | 0.0775027i | ||||
\(876\) | −2.81282 | − | 12.3238i | −0.0950365 | − | 0.416382i | ||||
\(877\) | −19.7250 | + | 9.49905i | −0.666065 | + | 0.320760i | −0.736187 | − | 0.676778i | \(-0.763376\pi\) |
0.0701218 | + | 0.997538i | \(0.477661\pi\) | |||||||
\(878\) | −4.36778 | + | 5.47702i | −0.147405 | + | 0.184841i | ||||
\(879\) | −5.25869 | + | 6.59419i | −0.177371 | + | 0.222417i | ||||
\(880\) | 8.77897 | + | 4.22773i | 0.295939 | + | 0.142517i | ||||
\(881\) | 20.9061 | + | 26.2154i | 0.704345 | + | 0.883220i | 0.997340 | − | 0.0728937i | \(-0.0232234\pi\) |
−0.292995 | + | 0.956114i | \(0.594652\pi\) | |||||||
\(882\) | 4.41981 | 0.148823 | ||||||||
\(883\) | −10.0553 | − | 12.6089i | −0.338386 | − | 0.424323i | 0.583301 | − | 0.812256i | \(-0.301761\pi\) |
−0.921688 | + | 0.387933i | \(0.873189\pi\) | |||||||
\(884\) | 10.1860 | + | 44.6277i | 0.342592 | + | 1.50099i | ||||
\(885\) | 2.39911 | + | 10.5112i | 0.0806451 | + | 0.353329i | ||||
\(886\) | −1.86981 | − | 2.34466i | −0.0628173 | − | 0.0787705i | ||||
\(887\) | −52.7391 | −1.77081 | −0.885403 | − | 0.464823i | \(-0.846118\pi\) | ||||
−0.885403 | + | 0.464823i | \(0.846118\pi\) | |||||||
\(888\) | −6.49731 | − | 8.14737i | −0.218036 | − | 0.273408i | ||||
\(889\) | −0.333397 | − | 0.160555i | −0.0111818 | − | 0.00538485i | ||||
\(890\) | 1.09067 | − | 1.36766i | 0.0365594 | − | 0.0458440i | ||||
\(891\) | 7.93482 | − | 9.94995i | 0.265826 | − | 0.333336i | ||||
\(892\) | −2.95204 | + | 1.42163i | −0.0988417 | + | 0.0475996i | ||||
\(893\) | −3.38016 | − | 14.8094i | −0.113113 | − | 0.495579i | ||||
\(894\) | −2.29776 | + | 10.0671i | −0.0768485 | + | 0.336695i | ||||
\(895\) | −2.12349 | − | 1.02262i | −0.0709804 | − | 0.0341824i | ||||
\(896\) | 3.51184 | − | 1.69122i | 0.117322 | − | 0.0564995i | ||||
\(897\) | 3.60119 | − | 15.7778i | 0.120240 | − | 0.526806i | ||||
\(898\) | −5.48294 | −0.182968 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −11.7724 | −0.392413 | ||||||||
\(901\) | −4.69202 | + | 20.5571i | −0.156314 | + | 0.684856i | ||||
\(902\) | −6.15883 | + | 2.96594i | −0.205067 | + | 0.0987549i | ||||
\(903\) | −1.36563 | − | 0.657650i | −0.0454452 | − | 0.0218852i | ||||
\(904\) | 4.01908 | − | 17.6087i | 0.133673 | − | 0.585658i | ||||
\(905\) | −1.95175 | − | 8.55116i | −0.0648783 | − | 0.284250i | ||||
\(906\) | 3.76391 | − | 1.81260i | 0.125047 | − | 0.0602196i | ||||
\(907\) | 18.6072 | − | 23.3327i | 0.617843 | − | 0.774750i | −0.370196 | − | 0.928954i | \(-0.620710\pi\) |
0.988039 | + | 0.154203i | \(0.0492810\pi\) | |||||||
\(908\) | 15.5673 | − | 19.5208i | 0.516620 | − | 0.647821i | ||||
\(909\) | −4.20464 | − | 2.02485i | −0.139459 | − | 0.0671599i | ||||
\(910\) | −0.387395 | − | 0.485778i | −0.0128420 | − | 0.0161034i | ||||
\(911\) | 9.34050 | 0.309465 | 0.154732 | − | 0.987956i | \(-0.450548\pi\) | ||||
0.154732 | + | 0.987956i | \(0.450548\pi\) | |||||||
\(912\) | 5.22401 | + | 6.55070i | 0.172984 | + | 0.216916i | ||||
\(913\) | 4.89589 | + | 21.4503i | 0.162030 | + | 0.709901i | ||||
\(914\) | −1.35301 | − | 5.92793i | −0.0447536 | − | 0.196078i | ||||
\(915\) | 0.884043 | + | 1.10855i | 0.0292256 | + | 0.0366477i | ||||
\(916\) | −23.0151 | −0.760439 | ||||||||
\(917\) | −1.78501 | − | 2.23833i | −0.0589463 | − | 0.0739163i | ||||
\(918\) | −9.98792 | − | 4.80993i | −0.329650 | − | 0.158751i | ||||
\(919\) | −11.4852 | + | 14.4020i | −0.378863 | + | 0.475079i | −0.934304 | − | 0.356477i | \(-0.883978\pi\) |
0.555441 | + | 0.831556i | \(0.312549\pi\) | |||||||
\(920\) | −1.67613 | + | 2.10180i | −0.0552603 | + | 0.0692942i | ||||
\(921\) | 5.07606 | − | 2.44450i | 0.167262 | − | 0.0805491i | ||||
\(922\) | 1.14957 | + | 5.03660i | 0.0378591 | + | 0.165872i | ||||
\(923\) | −9.22660 | + | 40.4244i | −0.303697 | + | 1.33058i | ||||
\(924\) | −3.56853 | − | 1.71851i | −0.117396 | − | 0.0565350i | ||||
\(925\) | 20.1184 | − | 9.68851i | 0.661489 | − | 0.318556i | ||||
\(926\) | 0.717250 | − | 3.14248i | 0.0235703 | − | 0.103268i | ||||
\(927\) | 19.7289 | 0.647981 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −4.84654 | −0.159010 | −0.0795050 | − | 0.996834i | \(-0.525334\pi\) | ||||
−0.0795050 | + | 0.996834i | \(0.525334\pi\) | |||||||
\(930\) | −0.571884 | + | 2.50559i | −0.0187528 | + | 0.0821615i | ||||
\(931\) | 14.5939 | − | 7.02808i | 0.478297 | − | 0.230336i | ||||
\(932\) | −14.3937 | − | 6.93166i | −0.471482 | − | 0.227054i | ||||
\(933\) | −3.50083 | + | 15.3381i | −0.114612 | + | 0.502148i | ||||
\(934\) | −0.204340 | − | 0.895272i | −0.00668621 | − | 0.0292942i | ||||
\(935\) | −13.8388 | + | 6.66440i | −0.452576 | + | 0.217949i | ||||
\(936\) | −8.61745 | + | 10.8059i | −0.281670 | + | 0.353203i | ||||
\(937\) | −27.8790 | + | 34.9591i | −0.910766 | + | 1.14206i | 0.0786420 | + | 0.996903i | \(0.474942\pi\) |
−0.989408 | + | 0.145161i | \(0.953630\pi\) | |||||||
\(938\) | 0.332437 | + | 0.160093i | 0.0108545 | + | 0.00522723i | ||||
\(939\) | 14.9589 | + | 18.7579i | 0.488166 | + | 0.612140i | ||||
\(940\) | −8.03684 | −0.262133 | ||||||||
\(941\) | 8.47016 | + | 10.6213i | 0.276119 | + | 0.346243i | 0.900483 | − | 0.434891i | \(-0.143213\pi\) |
−0.624364 | + | 0.781134i | \(0.714642\pi\) | |||||||
\(942\) | −2.25236 | − | 9.86822i | −0.0733857 | − | 0.321524i | ||||
\(943\) | 1.58881 | + | 6.96103i | 0.0517388 | + | 0.226682i | ||||
\(944\) | −22.2078 | − | 27.8476i | −0.722801 | − | 0.906363i | ||||
\(945\) | −1.36898 | −0.0445328 | ||||||||
\(946\) | −4.66756 | − | 5.85294i | −0.151756 | − | 0.190295i | ||||
\(947\) | 13.5250 | + | 6.51329i | 0.439503 | + | 0.211654i | 0.640532 | − | 0.767932i | \(-0.278714\pi\) |
−0.201028 | + | 0.979585i | \(0.564428\pi\) | |||||||
\(948\) | −6.53534 | + | 8.19506i | −0.212258 | + | 0.266163i | ||||
\(949\) | 19.8274 | − | 24.8627i | 0.643623 | − | 0.807078i | ||||
\(950\) | 4.27263 | − | 2.05759i | 0.138623 | − | 0.0667571i | ||||
\(951\) | 0.795897 | + | 3.48705i | 0.0258087 | + | 0.113075i | ||||
\(952\) | −0.603875 | + | 2.64575i | −0.0195717 | + | 0.0857493i | ||||
\(953\) | −46.7105 | − | 22.4946i | −1.51310 | − | 0.728671i | −0.520935 | − | 0.853596i | \(-0.674417\pi\) |
−0.992166 | + | 0.124925i | \(0.960131\pi\) | |||||||
\(954\) | −2.71864 | + | 1.30923i | −0.0880191 | + | 0.0423878i | ||||
\(955\) | −1.64310 | + | 7.19891i | −0.0531696 | + | 0.232951i | ||||
\(956\) | 46.0659 | 1.48988 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 1.73078 | 0.0559188 | ||||||||
\(959\) | 1.36855 | − | 5.99601i | 0.0441928 | − | 0.193621i | ||||
\(960\) | 2.82304 | − | 1.35951i | 0.0911134 | − | 0.0438779i | ||||
\(961\) | −12.4182 | − | 5.98029i | −0.400587 | − | 0.192912i | ||||
\(962\) | 2.76487 | − | 12.1137i | 0.0891428 | − | 0.390560i | ||||
\(963\) | 5.22348 | + | 22.8856i | 0.168324 | + | 0.737477i | ||||
\(964\) | 15.7986 | − | 7.60820i | 0.508838 | − | 0.245044i | ||||
\(965\) | −9.80678 | + | 12.2973i | −0.315691 | + | 0.395865i | ||||
\(966\) | 0.283520 | − | 0.355523i | 0.00912210 | − | 0.0114388i | ||||
\(967\) | −37.5027 | − | 18.0604i | −1.20601 | − | 0.580782i | −0.280625 | − | 0.959818i | \(-0.590542\pi\) |
−0.925382 | + | 0.379035i | \(0.876256\pi\) | |||||||
\(968\) | −14.1298 | − | 17.7182i | −0.454150 | − | 0.569486i | ||||
\(969\) | −13.2078 | −0.424294 | ||||||||
\(970\) | 0.0346798 | + | 0.0434871i | 0.00111350 | + | 0.00139629i | ||||
\(971\) | −12.4107 | − | 54.3746i | −0.398277 | − | 1.74497i | −0.634177 | − | 0.773188i | \(-0.718661\pi\) |
0.235900 | − | 0.971777i | \(-0.424196\pi\) | |||||||
\(972\) | 5.37920 | + | 23.5678i | 0.172538 | + | 0.755938i | ||||
\(973\) | −3.70895 | − | 4.65087i | −0.118903 | − | 0.149100i | ||||
\(974\) | 4.38165 | 0.140397 | ||||||||
\(975\) | 19.8699 | + | 24.9161i | 0.636347 | + | 0.797954i | ||||
\(976\) | −4.22037 | − | 2.03242i | −0.135091 | − | 0.0650562i | ||||
\(977\) | 30.5250 | − | 38.2772i | 0.976583 | − | 1.22460i | 0.00213146 | − | 0.999998i | \(-0.499322\pi\) |
0.974451 | − | 0.224598i | \(-0.0721070\pi\) | |||||||
\(978\) | −4.37382 | + | 5.48460i | −0.139859 | + | 0.175378i | ||||
\(979\) | 25.2751 | − | 12.1718i | 0.807795 | − | 0.389014i | ||||
\(980\) | −1.90701 | − | 8.35516i | −0.0609172 | − | 0.266896i | ||||
\(981\) | 1.75786 | − | 7.70171i | 0.0561243 | − | 0.245897i | ||||
\(982\) | 3.12402 | + | 1.50445i | 0.0996916 | + | 0.0480089i | ||||
\(983\) | 4.66099 | − | 2.24461i | 0.148662 | − | 0.0715921i | −0.358073 | − | 0.933693i | \(-0.616566\pi\) |
0.506736 | + | 0.862101i | \(0.330852\pi\) | |||||||
\(984\) | −1.46011 | + | 6.39715i | −0.0465465 | + | 0.203934i | ||||
\(985\) | −13.5345 | −0.431246 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 2.86831 | 0.0912994 | ||||||||
\(988\) | −5.34213 | + | 23.4054i | −0.169956 | + | 0.744624i | ||||
\(989\) | −7.04503 | + | 3.39271i | −0.224019 | + | 0.107882i | ||||
\(990\) | −1.98039 | − | 0.953703i | −0.0629408 | − | 0.0303107i | ||||
\(991\) | 3.75010 | − | 16.4302i | 0.119126 | − | 0.521924i | −0.879790 | − | 0.475363i | \(-0.842317\pi\) |
0.998915 | − | 0.0465608i | \(-0.0148261\pi\) | |||||||
\(992\) | −6.92854 | − | 30.3559i | −0.219981 | − | 0.963802i | ||||
\(993\) | 3.52111 | − | 1.69568i | 0.111739 | − | 0.0538106i | ||||
\(994\) | −0.726406 | + | 0.910884i | −0.0230402 | + | 0.0288915i | ||||
\(995\) | −0.377543 | + | 0.473424i | −0.0119689 | + | 0.0150085i | ||||
\(996\) | 9.01842 | + | 4.34304i | 0.285760 | + | 0.137615i | ||||
\(997\) | −23.8233 | − | 29.8735i | −0.754493 | − | 0.946104i | 0.245234 | − | 0.969464i | \(-0.421135\pi\) |
−0.999727 | + | 0.0233599i | \(0.992564\pi\) | |||||||
\(998\) | −9.15239 | −0.289714 | ||||||||
\(999\) | −17.0688 | − | 21.4036i | −0.540034 | − | 0.677181i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))