Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [675,2,Mod(76,675)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(675, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("675.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 675 = 3^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 675.l (of order \(9\), degree \(6\), 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: | \(5.38990213644\) |
Analytic rank: | \(1\) |
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: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 601.1 | ||
Root | \(-0.173648 + 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 675.601 |
Dual form | 675.2.l.a.301.1 |
$q$-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 \(\left(\mathbb{Z}/675\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.826352 | + | 0.300767i | −0.584319 | + | 0.212675i | −0.617229 | − | 0.786784i | \(-0.711745\pi\) |
0.0329100 | + | 0.999458i | \(0.489523\pi\) | |||||||
\(3\) | 0.592396 | − | 1.62760i | 0.342020 | − | 0.939693i | ||||
\(4\) | −0.939693 | + | 0.788496i | −0.469846 | + | 0.394248i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 1.52314i | 0.621819i | ||||||||
\(7\) | −2.87939 | − | 2.41609i | −1.08831 | − | 0.913197i | −0.0917216 | − | 0.995785i | \(-0.529237\pi\) |
−0.996584 | + | 0.0825881i | \(0.973681\pi\) | |||||||
\(8\) | 1.41875 | − | 2.45734i | 0.501603 | − | 0.868802i | ||||
\(9\) | −2.29813 | − | 1.92836i | −0.766044 | − | 0.642788i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.180922 | + | 1.02606i | −0.0545501 | + | 0.309369i | −0.999859 | − | 0.0168083i | \(-0.994649\pi\) |
0.945309 | + | 0.326177i | \(0.105761\pi\) | |||||||
\(12\) | 0.726682 | + | 1.99654i | 0.209775 | + | 0.576352i | ||||
\(13\) | 2.99273 | + | 1.08926i | 0.830033 | + | 0.302107i | 0.721872 | − | 0.692026i | \(-0.243282\pi\) |
0.108160 | + | 0.994133i | \(0.465504\pi\) | |||||||
\(14\) | 3.10607 | + | 1.13052i | 0.830131 | + | 0.302143i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.00727396 | + | 0.0412527i | −0.00181849 | + | 0.0103132i | ||||
\(17\) | −0.233956 | − | 0.405223i | −0.0567426 | − | 0.0982810i | 0.836259 | − | 0.548335i | \(-0.184738\pi\) |
−0.893001 | + | 0.450054i | \(0.851405\pi\) | |||||||
\(18\) | 2.47906 | + | 0.902302i | 0.584319 | + | 0.212675i | ||||
\(19\) | −2.34730 | + | 4.06564i | −0.538507 | + | 0.932721i | 0.460478 | + | 0.887671i | \(0.347678\pi\) |
−0.998985 | + | 0.0450499i | \(0.985655\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −5.63816 | + | 3.25519i | −1.23035 | + | 0.710341i | ||||
\(22\) | −0.159100 | − | 0.902302i | −0.0339203 | − | 0.192372i | ||||
\(23\) | −4.11334 | + | 3.45150i | −0.857691 | + | 0.719688i | −0.961469 | − | 0.274912i | \(-0.911351\pi\) |
0.103778 | + | 0.994600i | \(0.466907\pi\) | |||||||
\(24\) | −3.15910 | − | 3.76487i | −0.644849 | − | 0.768501i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −2.80066 | −0.549255 | ||||||||
\(27\) | −4.50000 | + | 2.59808i | −0.866025 | + | 0.500000i | ||||
\(28\) | 4.61081 | 0.871362 | ||||||||
\(29\) | −5.45084 | + | 1.98394i | −1.01220 | + | 0.368409i | −0.794275 | − | 0.607558i | \(-0.792149\pi\) |
−0.217920 | + | 0.975967i | \(0.569927\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.14543 | + | 2.63933i | −0.564936 | + | 0.474037i | −0.879961 | − | 0.475046i | \(-0.842431\pi\) |
0.315025 | + | 0.949083i | \(0.397987\pi\) | |||||||
\(32\) | 0.979055 | + | 5.55250i | 0.173074 | + | 0.981553i | ||||
\(33\) | 1.56283 | + | 0.902302i | 0.272054 | + | 0.157071i | ||||
\(34\) | 0.315207 | + | 0.264490i | 0.0540576 | + | 0.0453597i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 3.68004 | 0.613341 | ||||||||
\(37\) | 2.23783 | + | 3.87603i | 0.367896 | + | 0.637215i | 0.989236 | − | 0.146326i | \(-0.0467448\pi\) |
−0.621340 | + | 0.783541i | \(0.713411\pi\) | |||||||
\(38\) | 0.716881 | − | 4.06564i | 0.116294 | − | 0.659533i | ||||
\(39\) | 3.54576 | − | 4.22567i | 0.567776 | − | 0.676649i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −7.52481 | − | 2.73881i | −1.17518 | − | 0.427730i | −0.320682 | − | 0.947187i | \(-0.603912\pi\) |
−0.854497 | + | 0.519457i | \(0.826134\pi\) | |||||||
\(42\) | 3.68004 | − | 4.38571i | 0.567843 | − | 0.676729i | ||||
\(43\) | 2.11334 | − | 11.9854i | 0.322281 | − | 1.82775i | −0.205847 | − | 0.978584i | \(-0.565995\pi\) |
0.528128 | − | 0.849165i | \(-0.322894\pi\) | |||||||
\(44\) | −0.639033 | − | 1.10684i | −0.0963379 | − | 0.166862i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.36097 | − | 4.08931i | 0.348106 | − | 0.602937i | ||||
\(47\) | −2.65657 | − | 2.22913i | −0.387501 | − | 0.325152i | 0.428138 | − | 0.903714i | \(-0.359170\pi\) |
−0.815639 | + | 0.578561i | \(0.803614\pi\) | |||||||
\(48\) | 0.0628336 | + | 0.0362770i | 0.00906925 | + | 0.00523613i | ||||
\(49\) | 1.23783 | + | 7.02006i | 0.176832 | + | 1.00287i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.798133 | + | 0.140732i | −0.111761 | + | 0.0197065i | ||||
\(52\) | −3.67112 | + | 1.33618i | −0.509093 | + | 0.185295i | ||||
\(53\) | −8.83750 | −1.21392 | −0.606962 | − | 0.794731i | \(-0.707612\pi\) | ||||
−0.606962 | + | 0.794731i | \(0.707612\pi\) | |||||||
\(54\) | 2.93717 | − | 3.50038i | 0.399698 | − | 0.476341i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −10.0223 | + | 3.64781i | −1.33928 | + | 0.487460i | ||||
\(57\) | 5.22668 | + | 6.22892i | 0.692291 | + | 0.825040i | ||||
\(58\) | 3.90760 | − | 3.27887i | 0.513094 | − | 0.430537i | ||||
\(59\) | 2.36959 | + | 13.4386i | 0.308494 | + | 1.74955i | 0.606586 | + | 0.795018i | \(0.292538\pi\) |
−0.298093 | + | 0.954537i | \(0.596350\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.46064 | + | 6.26022i | 0.955237 | + | 0.801539i | 0.980172 | − | 0.198150i | \(-0.0634934\pi\) |
−0.0249349 | + | 0.999689i | \(0.507938\pi\) | |||||||
\(62\) | 1.80541 | − | 3.12706i | 0.229287 | − | 0.397137i | ||||
\(63\) | 1.95811 | + | 11.1050i | 0.246699 | + | 1.39910i | ||||
\(64\) | −2.52094 | − | 4.36640i | −0.315118 | − | 0.545801i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −1.56283 | − | 0.275570i | −0.192372 | − | 0.0339203i | ||||
\(67\) | −1.71301 | − | 0.623485i | −0.209278 | − | 0.0761708i | 0.235254 | − | 0.971934i | \(-0.424408\pi\) |
−0.444532 | + | 0.895763i | \(0.646630\pi\) | |||||||
\(68\) | 0.539363 | + | 0.196312i | 0.0654074 | + | 0.0238063i | ||||
\(69\) | 3.18092 | + | 8.73951i | 0.382938 | + | 1.05211i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.85117 | − | 6.67042i | −0.457049 | − | 0.791633i | 0.541754 | − | 0.840537i | \(-0.317760\pi\) |
−0.998803 | + | 0.0489043i | \(0.984427\pi\) | |||||||
\(72\) | −7.99912 | + | 2.91144i | −0.942706 | + | 0.343117i | ||||
\(73\) | 0.407604 | − | 0.705990i | 0.0477064 | − | 0.0826299i | −0.841186 | − | 0.540746i | \(-0.818142\pi\) |
0.888893 | + | 0.458116i | \(0.151475\pi\) | |||||||
\(74\) | −3.01501 | − | 2.52990i | −0.350488 | − | 0.294095i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.00000 | − | 5.67128i | −0.114708 | − | 0.650541i | ||||
\(77\) | 3.00000 | − | 2.51730i | 0.341882 | − | 0.286873i | ||||
\(78\) | −1.65910 | + | 4.55834i | −0.187856 | + | 0.516130i | ||||
\(79\) | 3.81180 | − | 1.38738i | 0.428861 | − | 0.156093i | −0.118566 | − | 0.992946i | \(-0.537830\pi\) |
0.547427 | + | 0.836853i | \(0.315607\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.56283 | + | 8.86327i | 0.173648 | + | 0.984808i | ||||
\(82\) | 7.04189 | 0.777647 | ||||||||
\(83\) | −15.9820 | + | 5.81699i | −1.75426 | + | 0.638498i | −0.999840 | − | 0.0178968i | \(-0.994303\pi\) |
−0.754418 | + | 0.656394i | \(0.772081\pi\) | |||||||
\(84\) | 2.73143 | − | 7.50454i | 0.298023 | − | 0.818812i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 1.85844 | + | 10.5397i | 0.200401 | + | 1.13653i | ||||
\(87\) | 10.0470i | 1.07716i | ||||||||
\(88\) | 2.26470 | + | 1.90031i | 0.241418 | + | 0.202574i | ||||
\(89\) | 5.19846 | − | 9.00400i | 0.551036 | − | 0.954422i | −0.447164 | − | 0.894452i | \(-0.647566\pi\) |
0.998200 | − | 0.0599704i | \(-0.0191006\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.98545 | − | 10.3671i | −0.627446 | − | 1.08677i | ||||
\(92\) | 1.14378 | − | 6.48670i | 0.119247 | − | 0.676286i | ||||
\(93\) | 2.43242 | + | 6.68302i | 0.252230 | + | 0.692996i | ||||
\(94\) | 2.86571 | + | 1.04303i | 0.295576 | + | 0.107581i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 9.61721 | + | 1.69577i | 0.981553 | + | 0.173074i | ||||
\(97\) | 1.06283 | − | 6.02763i | 0.107914 | − | 0.612013i | −0.882102 | − | 0.471059i | \(-0.843872\pi\) |
0.990016 | − | 0.140954i | \(-0.0450170\pi\) | |||||||
\(98\) | −3.13429 | − | 5.42874i | −0.316611 | − | 0.548386i | ||||
\(99\) | 2.39440 | − | 2.00914i | 0.240646 | − | 0.201926i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.51501 | + | 1.27125i | 0.150750 | + | 0.126494i | 0.715043 | − | 0.699080i | \(-0.246407\pi\) |
−0.564294 | + | 0.825574i | \(0.690851\pi\) | |||||||
\(102\) | 0.617211 | − | 0.356347i | 0.0611130 | − | 0.0352836i | ||||
\(103\) | 2.07650 | + | 11.7764i | 0.204604 | + | 1.16037i | 0.898062 | + | 0.439870i | \(0.144975\pi\) |
−0.693458 | + | 0.720497i | \(0.743914\pi\) | |||||||
\(104\) | 6.92262 | − | 5.80877i | 0.678819 | − | 0.569596i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.30288 | − | 2.65803i | 0.709319 | − | 0.258171i | ||||
\(107\) | −20.6382 | −1.99517 | −0.997583 | − | 0.0694862i | \(-0.977864\pi\) | ||||
−0.997583 | + | 0.0694862i | \(0.977864\pi\) | |||||||
\(108\) | 2.18004 | − | 5.98962i | 0.209775 | − | 0.576352i | ||||
\(109\) | 0.433763 | 0.0415469 | 0.0207735 | − | 0.999784i | \(-0.493387\pi\) | ||||
0.0207735 | + | 0.999784i | \(0.493387\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 7.63429 | − | 1.34613i | 0.724614 | − | 0.127769i | ||||
\(112\) | 0.120615 | − | 0.101208i | 0.0113970 | − | 0.00956324i | ||||
\(113\) | −0.998656 | − | 5.66366i | −0.0939456 | − | 0.532792i | −0.995065 | − | 0.0992218i | \(-0.968365\pi\) |
0.901120 | − | 0.433570i | \(-0.142746\pi\) | |||||||
\(114\) | −6.19253 | − | 3.57526i | −0.579984 | − | 0.334854i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 3.55778 | − | 6.16226i | 0.330332 | − | 0.572151i | ||||
\(117\) | −4.77719 | − | 8.27433i | −0.441651 | − | 0.764962i | ||||
\(118\) | −6.00000 | − | 10.3923i | −0.552345 | − | 0.956689i | ||||
\(119\) | −0.305407 | + | 1.73205i | −0.0279966 | + | 0.158777i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 9.31655 | + | 3.39095i | 0.846959 | + | 0.308268i | ||||
\(122\) | −8.04798 | − | 2.92923i | −0.728630 | − | 0.265200i | ||||
\(123\) | −8.91534 | + | 10.6249i | −0.803870 | + | 0.958014i | ||||
\(124\) | 0.874638 | − | 4.96032i | 0.0785448 | − | 0.445450i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −4.95811 | − | 8.58770i | −0.441704 | − | 0.765053i | ||||
\(127\) | 9.80587 | − | 16.9843i | 0.870131 | − | 1.50711i | 0.00826966 | − | 0.999966i | \(-0.497368\pi\) |
0.861861 | − | 0.507145i | \(-0.169299\pi\) | |||||||
\(128\) | −5.24170 | − | 4.39831i | −0.463305 | − | 0.388759i | ||||
\(129\) | −18.2554 | − | 10.5397i | −1.60730 | − | 0.927972i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 13.8701 | − | 11.6384i | 1.21183 | − | 1.01685i | 0.212621 | − | 0.977135i | \(-0.431800\pi\) |
0.999211 | − | 0.0397131i | \(-0.0126444\pi\) | |||||||
\(132\) | −2.18004 | + | 0.384401i | −0.189749 | + | 0.0334578i | ||||
\(133\) | 16.5817 | − | 6.03525i | 1.43782 | − | 0.523323i | ||||
\(134\) | 1.60307 | 0.138484 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.32770 | −0.113849 | ||||||||
\(137\) | 13.7208 | − | 4.99395i | 1.17224 | − | 0.426662i | 0.318787 | − | 0.947826i | \(-0.396725\pi\) |
0.853456 | + | 0.521165i | \(0.174502\pi\) | |||||||
\(138\) | −5.25712 | − | 6.26519i | −0.447516 | − | 0.533329i | ||||
\(139\) | −16.9440 | + | 14.2177i | −1.43717 | + | 1.20593i | −0.495859 | + | 0.868403i | \(0.665147\pi\) |
−0.941315 | + | 0.337529i | \(0.890409\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −5.20187 | + | 3.00330i | −0.438076 | + | 0.252923i | ||||
\(142\) | 5.18866 | + | 4.35381i | 0.435423 | + | 0.365363i | ||||
\(143\) | −1.65910 | + | 2.87365i | −0.138741 | + | 0.240306i | ||||
\(144\) | 0.0962667 | − | 0.0807773i | 0.00802222 | − | 0.00673144i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.124485 | + | 0.705990i | −0.0103025 | + | 0.0584282i | ||||
\(147\) | 12.1591 | + | 2.14398i | 1.00287 | + | 0.176832i | ||||
\(148\) | −5.15910 | − | 1.87776i | −0.424075 | − | 0.154351i | ||||
\(149\) | 13.3969 | + | 4.87608i | 1.09752 | + | 0.399464i | 0.826401 | − | 0.563082i | \(-0.190384\pi\) |
0.271118 | + | 0.962546i | \(0.412607\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.805407 | − | 4.56769i | 0.0655431 | − | 0.371713i | −0.934339 | − | 0.356384i | \(-0.884009\pi\) |
0.999883 | − | 0.0153290i | \(-0.00487956\pi\) | |||||||
\(152\) | 6.66044 | + | 11.5362i | 0.540233 | + | 0.935712i | ||||
\(153\) | −0.243756 | + | 1.38241i | −0.0197065 | + | 0.111761i | ||||
\(154\) | −1.72193 | + | 2.98248i | −0.138757 | + | 0.240335i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 6.76665i | 0.541765i | ||||||||
\(157\) | −2.18392 | − | 12.3856i | −0.174295 | − | 0.988478i | −0.938954 | − | 0.344043i | \(-0.888203\pi\) |
0.764659 | − | 0.644436i | \(-0.222908\pi\) | |||||||
\(158\) | −2.73261 | + | 2.29293i | −0.217395 | + | 0.182416i | ||||
\(159\) | −5.23530 | + | 14.3839i | −0.415186 | + | 1.14071i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 20.1830 | 1.59065 | ||||||||
\(162\) | −3.95723 | − | 6.85413i | −0.310910 | − | 0.538511i | ||||
\(163\) | −6.40373 | −0.501579 | −0.250790 | − | 0.968042i | \(-0.580690\pi\) | ||||
−0.250790 | + | 0.968042i | \(0.580690\pi\) | |||||||
\(164\) | 9.23055 | − | 3.35965i | 0.720785 | − | 0.262344i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 11.4572 | − | 9.61376i | 0.889254 | − | 0.746173i | ||||
\(167\) | −1.55303 | − | 8.80769i | −0.120177 | − | 0.681560i | −0.984056 | − | 0.177859i | \(-0.943083\pi\) |
0.863879 | − | 0.503700i | \(-0.168028\pi\) | |||||||
\(168\) | 18.4732i | 1.42524i | ||||||||
\(169\) | −2.18866 | − | 1.83651i | −0.168359 | − | 0.141270i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 13.2344 | − | 4.81694i | 1.01206 | − | 0.368360i | ||||
\(172\) | 7.46451 | + | 12.9289i | 0.569163 | + | 0.985820i | ||||
\(173\) | 1.05391 | − | 5.97702i | 0.0801274 | − | 0.454425i | −0.918175 | − | 0.396176i | \(-0.870337\pi\) |
0.998302 | − | 0.0582491i | \(-0.0185518\pi\) | |||||||
\(174\) | −3.02182 | − | 8.30239i | −0.229084 | − | 0.629402i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −0.0410117 | − | 0.0149270i | −0.00309137 | − | 0.00112517i | ||||
\(177\) | 23.2763 | + | 4.10424i | 1.74955 | + | 0.308494i | ||||
\(178\) | −1.58765 | + | 9.00400i | −0.118999 | + | 0.674878i | ||||
\(179\) | −1.80200 | − | 3.12116i | −0.134688 | − | 0.233287i | 0.790790 | − | 0.612087i | \(-0.209670\pi\) |
−0.925478 | + | 0.378801i | \(0.876337\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −5.56283 | + | 9.63511i | −0.413482 | + | 0.716172i | −0.995268 | − | 0.0971701i | \(-0.969021\pi\) |
0.581786 | + | 0.813342i | \(0.302354\pi\) | |||||||
\(182\) | 8.06418 | + | 6.76665i | 0.597757 | + | 0.501577i | ||||
\(183\) | 14.6088 | − | 8.43437i | 1.07991 | − | 0.623486i | ||||
\(184\) | 2.64573 | + | 15.0047i | 0.195046 | + | 1.10616i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −4.02007 | − | 4.79093i | −0.294766 | − | 0.351288i | ||||
\(187\) | 0.458111 | − | 0.166739i | 0.0335004 | − | 0.0121931i | ||||
\(188\) | 4.25402 | 0.310256 | ||||||||
\(189\) | 19.2344 | + | 3.39155i | 1.39910 | + | 0.246699i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −9.53596 | + | 3.47081i | −0.689998 | + | 0.251139i | −0.663134 | − | 0.748500i | \(-0.730774\pi\) |
−0.0268635 | + | 0.999639i | \(0.508552\pi\) | |||||||
\(192\) | −8.60014 | + | 1.51644i | −0.620661 | + | 0.109439i | ||||
\(193\) | 0.269915 | − | 0.226485i | 0.0194289 | − | 0.0163028i | −0.633021 | − | 0.774134i | \(-0.718186\pi\) |
0.652450 | + | 0.757831i | \(0.273741\pi\) | |||||||
\(194\) | 0.934640 | + | 5.30061i | 0.0671033 | + | 0.380561i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.69846 | − | 5.62068i | −0.478462 | − | 0.401477i | ||||
\(197\) | −10.8268 | + | 18.7526i | −0.771379 | + | 1.33607i | 0.165428 | + | 0.986222i | \(0.447099\pi\) |
−0.936807 | + | 0.349846i | \(0.886234\pi\) | |||||||
\(198\) | −1.37433 | + | 2.38041i | −0.0976696 | + | 0.169169i | ||||
\(199\) | −12.0209 | − | 20.8209i | −0.852142 | − | 1.47595i | −0.879271 | − | 0.476322i | \(-0.841970\pi\) |
0.0271290 | − | 0.999632i | \(-0.491364\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.02956 | + | 2.41874i | −0.143154 | + | 0.170605i | ||||
\(202\) | −1.63429 | − | 0.594831i | −0.114988 | − | 0.0418522i | ||||
\(203\) | 20.4884 | + | 7.45718i | 1.43801 | + | 0.523392i | ||||
\(204\) | 0.639033 | − | 0.761570i | 0.0447413 | − | 0.0533206i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −5.25789 | − | 9.10694i | −0.366335 | − | 0.634510i | ||||
\(207\) | 16.1088 | 1.11964 | ||||||||
\(208\) | −0.0667040 | + | 0.115535i | −0.00462509 | + | 0.00801089i | ||||
\(209\) | −3.74691 | − | 3.14403i | −0.259179 | − | 0.217477i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.12789 | − | 6.39657i | −0.0776471 | − | 0.440358i | −0.998702 | − | 0.0509266i | \(-0.983783\pi\) |
0.921055 | − | 0.389432i | \(-0.127329\pi\) | |||||||
\(212\) | 8.30453 | − | 6.96833i | 0.570357 | − | 0.478587i | ||||
\(213\) | −13.1382 | + | 2.31661i | −0.900212 | + | 0.158732i | ||||
\(214\) | 17.0544 | − | 6.20729i | 1.16581 | − | 0.424321i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 14.7441i | 1.00321i | ||||||||
\(217\) | 15.4338 | 1.04771 | ||||||||
\(218\) | −0.358441 | + | 0.130462i | −0.0242767 | + | 0.00883598i | ||||
\(219\) | −0.907604 | − | 1.08164i | −0.0613302 | − | 0.0730905i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.258770 | − | 1.46756i | −0.0174068 | − | 0.0987188i | ||||
\(222\) | −5.90373 | + | 3.40852i | −0.396233 | + | 0.228765i | ||||
\(223\) | −4.43763 | − | 3.72362i | −0.297166 | − | 0.249352i | 0.481998 | − | 0.876173i | \(-0.339911\pi\) |
−0.779164 | + | 0.626821i | \(0.784356\pi\) | |||||||
\(224\) | 10.5963 | − | 18.3533i | 0.707993 | − | 1.22628i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.52869 | + | 4.37981i | 0.168206 | + | 0.291341i | ||||
\(227\) | 2.24510 | − | 12.7326i | 0.149013 | − | 0.845092i | −0.815045 | − | 0.579398i | \(-0.803288\pi\) |
0.964057 | − | 0.265694i | \(-0.0856011\pi\) | |||||||
\(228\) | −9.82295 | − | 1.73205i | −0.650541 | − | 0.114708i | ||||
\(229\) | 1.17365 | + | 0.427173i | 0.0775569 | + | 0.0282284i | 0.380507 | − | 0.924778i | \(-0.375749\pi\) |
−0.302950 | + | 0.953006i | \(0.597972\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.31996 | − | 6.37402i | −0.152642 | − | 0.419380i | ||||
\(232\) | −2.85814 | + | 16.2093i | −0.187646 | + | 1.06419i | ||||
\(233\) | 0.190722 | + | 0.330341i | 0.0124946 | + | 0.0216413i | 0.872205 | − | 0.489140i | \(-0.162689\pi\) |
−0.859710 | + | 0.510782i | \(0.829356\pi\) | |||||||
\(234\) | 6.43629 | + | 5.40069i | 0.420753 | + | 0.353054i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −12.8229 | − | 10.7597i | −0.834703 | − | 0.700399i | ||||
\(237\) | − | 7.02595i | − | 0.456385i | ||||||
\(238\) | −0.268571 | − | 1.52314i | −0.0174089 | − | 0.0987305i | ||||
\(239\) | −2.40760 | + | 2.02022i | −0.155735 | + | 0.130677i | −0.717326 | − | 0.696738i | \(-0.754634\pi\) |
0.561591 | + | 0.827415i | \(0.310190\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.05778 | − | 2.56882i | 0.454632 | − | 0.165472i | −0.104546 | − | 0.994520i | \(-0.533339\pi\) |
0.559178 | + | 0.829048i | \(0.311117\pi\) | |||||||
\(242\) | −8.71864 | −0.560455 | ||||||||
\(243\) | 15.3516 | + | 2.70691i | 0.984808 | + | 0.173648i | ||||
\(244\) | −11.9469 | −0.764819 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 4.17159 | − | 11.4613i | 0.265971 | − | 0.730749i | ||||
\(247\) | −11.4534 | + | 9.61051i | −0.728760 | + | 0.611502i | ||||
\(248\) | 2.02317 | + | 11.4739i | 0.128471 | + | 0.728596i | ||||
\(249\) | 29.4583i | 1.86684i | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −7.68732 | + | 13.3148i | −0.485219 | + | 0.840424i | −0.999856 | − | 0.0169841i | \(-0.994594\pi\) |
0.514637 | + | 0.857408i | \(0.327927\pi\) | |||||||
\(252\) | −10.5963 | − | 8.89132i | −0.667502 | − | 0.560101i | ||||
\(253\) | −2.79726 | − | 4.84499i | −0.175862 | − | 0.304602i | ||||
\(254\) | −2.99479 | + | 16.9843i | −0.187910 | + | 1.06569i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.1300 | + | 5.50687i | 0.945625 | + | 0.344179i | ||||
\(257\) | −16.8084 | − | 6.11776i | −1.04848 | − | 0.381615i | −0.240391 | − | 0.970676i | \(-0.577276\pi\) |
−0.808089 | + | 0.589061i | \(0.799498\pi\) | |||||||
\(258\) | 18.2554 | + | 3.21891i | 1.13653 | + | 0.200401i | ||||
\(259\) | 2.92127 | − | 16.5674i | 0.181519 | − | 1.02945i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 16.3525 | + | 5.95183i | 1.01220 | + | 0.368409i | ||||
\(262\) | −7.96110 | + | 13.7890i | −0.491839 | + | 0.851890i | ||||
\(263\) | 2.97178 | + | 2.49362i | 0.183248 | + | 0.153763i | 0.729797 | − | 0.683664i | \(-0.239614\pi\) |
−0.546549 | + | 0.837427i | \(0.684059\pi\) | |||||||
\(264\) | 4.43453 | − | 2.56028i | 0.272927 | − | 0.157574i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −11.8871 | + | 9.97448i | −0.728846 | + | 0.611575i | ||||
\(267\) | −11.5753 | − | 13.7949i | −0.708398 | − | 0.844236i | ||||
\(268\) | 2.10132 | − | 0.764818i | 0.128358 | − | 0.0467187i | ||||
\(269\) | −19.8084 | −1.20774 | −0.603870 | − | 0.797083i | \(-0.706375\pi\) | ||||
−0.603870 | + | 0.797083i | \(0.706375\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.7888 | −0.898356 | −0.449178 | − | 0.893442i | \(-0.648283\pi\) | ||||
−0.449178 | + | 0.893442i | \(0.648283\pi\) | |||||||
\(272\) | 0.0184183 | − | 0.00670372i | 0.00111677 | − | 0.000406473i | ||||
\(273\) | −20.4192 | + | 3.60046i | −1.23583 | + | 0.217910i | ||||
\(274\) | −9.83615 | + | 8.25351i | −0.594224 | + | 0.498613i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −9.88016 | − | 5.70431i | −0.594716 | − | 0.343359i | ||||
\(277\) | −13.4422 | − | 11.2794i | −0.807665 | − | 0.677711i | 0.142385 | − | 0.989811i | \(-0.454523\pi\) |
−0.950049 | + | 0.312100i | \(0.898967\pi\) | |||||||
\(278\) | 9.72550 | − | 16.8451i | 0.583297 | − | 1.01030i | ||||
\(279\) | 12.3182 | 0.737471 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.08853 | − | 6.17334i | 0.0649360 | − | 0.368270i | −0.934972 | − | 0.354721i | \(-0.884576\pi\) |
0.999908 | − | 0.0135494i | \(-0.00431304\pi\) | |||||||
\(282\) | 3.39528 | − | 4.04633i | 0.202186 | − | 0.240956i | ||||
\(283\) | −5.95084 | − | 2.16593i | −0.353741 | − | 0.128751i | 0.159037 | − | 0.987273i | \(-0.449161\pi\) |
−0.512777 | + | 0.858522i | \(0.671383\pi\) | |||||||
\(284\) | 8.87851 | + | 3.23151i | 0.526843 | + | 0.191755i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.506701 | − | 2.87365i | 0.0299619 | − | 0.169922i | ||||
\(287\) | 15.0496 | + | 26.0667i | 0.888352 | + | 1.53867i | ||||
\(288\) | 8.45723 | − | 14.6484i | 0.498347 | − | 0.863163i | ||||
\(289\) | 8.39053 | − | 14.5328i | 0.493561 | − | 0.854872i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −9.18092 | − | 5.30061i | −0.538195 | − | 0.310727i | ||||
\(292\) | 0.173648 | + | 0.984808i | 0.0101620 | + | 0.0576315i | ||||
\(293\) | 3.50593 | − | 2.94182i | 0.204819 | − | 0.171863i | −0.534608 | − | 0.845100i | \(-0.679541\pi\) |
0.739427 | + | 0.673237i | \(0.235096\pi\) | |||||||
\(294\) | −10.6925 | + | 1.88538i | −0.623601 | + | 0.109958i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 12.6996 | 0.738152 | ||||||||
\(297\) | −1.85163 | − | 5.08732i | −0.107443 | − | 0.295196i | ||||
\(298\) | −12.5371 | −0.726257 | ||||||||
\(299\) | −16.0697 | + | 5.84889i | −0.929335 | + | 0.338250i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −35.0428 | + | 29.4044i | −2.01983 | + | 1.69484i | ||||
\(302\) | 0.708263 | + | 4.01676i | 0.0407560 | + | 0.231139i | ||||
\(303\) | 2.96657 | − | 1.71275i | 0.170425 | − | 0.0983948i | ||||
\(304\) | −0.150644 | − | 0.126406i | −0.00864004 | − | 0.00724985i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −0.214355 | − | 1.21567i | −0.0122539 | − | 0.0694952i | ||||
\(307\) | −2.02481 | − | 3.50708i | −0.115562 | − | 0.200160i | 0.802442 | − | 0.596730i | \(-0.203534\pi\) |
−0.918004 | + | 0.396570i | \(0.870200\pi\) | |||||||
\(308\) | −0.834198 | + | 4.73097i | −0.0475329 | + | 0.269572i | ||||
\(309\) | 20.3974 | + | 3.59661i | 1.16037 | + | 0.204604i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.63088 | + | 1.68550i | 0.262593 | + | 0.0955761i | 0.469962 | − | 0.882687i | \(-0.344268\pi\) |
−0.207369 | + | 0.978263i | \(0.566490\pi\) | |||||||
\(312\) | −5.35339 | − | 14.7083i | −0.303076 | − | 0.832694i | ||||
\(313\) | 2.40033 | − | 13.6129i | 0.135675 | − | 0.769449i | −0.838713 | − | 0.544574i | \(-0.816691\pi\) |
0.974388 | − | 0.224875i | \(-0.0721975\pi\) | |||||||
\(314\) | 5.52987 | + | 9.57801i | 0.312068 | + | 0.540518i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.48798 | + | 4.30930i | −0.139960 | + | 0.242417i | ||||
\(317\) | 11.8669 | + | 9.95751i | 0.666511 | + | 0.559269i | 0.912031 | − | 0.410122i | \(-0.134514\pi\) |
−0.245519 | + | 0.969392i | \(0.578958\pi\) | |||||||
\(318\) | − | 13.4607i | − | 0.754841i | ||||||
\(319\) | −1.04947 | − | 5.95183i | −0.0587589 | − | 0.333238i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −12.2260 | + | 33.5906i | −0.682387 | + | 1.87484i | ||||
\(322\) | −16.6783 | + | 6.07040i | −0.929445 | + | 0.338290i | ||||
\(323\) | 2.19665 | 0.122225 | ||||||||
\(324\) | −8.45723 | − | 7.09646i | −0.469846 | − | 0.394248i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 5.29174 | − | 1.92603i | 0.293082 | − | 0.106673i | ||||
\(327\) | 0.256959 | − | 0.705990i | 0.0142099 | − | 0.0390414i | ||||
\(328\) | −17.4060 | + | 14.6054i | −0.961086 | + | 0.806447i | ||||
\(329\) | 2.26352 | + | 12.8370i | 0.124792 | + | 0.707729i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −6.24170 | − | 5.23741i | −0.343075 | − | 0.287874i | 0.454927 | − | 0.890529i | \(-0.349665\pi\) |
−0.798002 | + | 0.602655i | \(0.794110\pi\) | |||||||
\(332\) | 10.4315 | − | 18.0680i | 0.572505 | − | 0.991608i | ||||
\(333\) | 2.33157 | − | 13.2230i | 0.127769 | − | 0.724614i | ||||
\(334\) | 3.93242 | + | 6.81115i | 0.215172 | + | 0.372689i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.0932736 | − | 0.256267i | −0.00508849 | − | 0.0139805i | ||||
\(337\) | 5.35369 | + | 1.94858i | 0.291634 | + | 0.106146i | 0.483694 | − | 0.875237i | \(-0.339295\pi\) |
−0.192060 | + | 0.981383i | \(0.561517\pi\) | |||||||
\(338\) | 2.36097 | + | 0.859322i | 0.128420 | + | 0.0467409i | ||||
\(339\) | −9.80974 | − | 1.72972i | −0.532792 | − | 0.0939456i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2.13903 | − | 3.70491i | −0.115835 | − | 0.200632i | ||||
\(342\) | −9.48751 | + | 7.96097i | −0.513026 | + | 0.430480i | ||||
\(343\) | 0.241230 | − | 0.417822i | 0.0130252 | − | 0.0225603i | ||||
\(344\) | −26.4538 | − | 22.1974i | −1.42629 | − | 1.19680i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.926794 | + | 5.25611i | 0.0498247 | + | 0.282570i | ||||
\(347\) | −20.4158 | + | 17.1309i | −1.09598 | + | 0.919635i | −0.997148 | − | 0.0754694i | \(-0.975954\pi\) |
−0.0988301 | + | 0.995104i | \(0.531510\pi\) | |||||||
\(348\) | −7.92205 | − | 9.44113i | −0.424666 | − | 0.506098i | ||||
\(349\) | 7.47906 | − | 2.72215i | 0.400345 | − | 0.145714i | −0.133998 | − | 0.990982i | \(-0.542782\pi\) |
0.534342 | + | 0.845268i | \(0.320559\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −16.2973 | + | 2.87365i | −0.869883 | + | 0.153384i | ||||
\(352\) | −5.87433 | −0.313103 | ||||||||
\(353\) | −13.4966 | + | 4.91236i | −0.718351 | + | 0.261459i | −0.675226 | − | 0.737611i | \(-0.735954\pi\) |
−0.0431256 | + | 0.999070i | \(0.513732\pi\) | |||||||
\(354\) | −20.4688 | + | 3.60921i | −1.08791 | + | 0.191827i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 2.21466 | + | 12.5600i | 0.117377 | + | 0.665677i | ||||
\(357\) | 2.63816 | + | 1.52314i | 0.139626 | + | 0.0806131i | ||||
\(358\) | 2.42783 | + | 2.03719i | 0.128315 | + | 0.107669i | ||||
\(359\) | 10.3341 | − | 17.8992i | 0.545413 | − | 0.944682i | −0.453168 | − | 0.891425i | \(-0.649706\pi\) |
0.998581 | − | 0.0532573i | \(-0.0169603\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.51960 | − | 2.63203i | −0.0799790 | − | 0.138528i | ||||
\(362\) | 1.69893 | − | 9.63511i | 0.0892938 | − | 0.506410i | ||||
\(363\) | 11.0382 | − | 13.1548i | 0.579354 | − | 0.690447i | ||||
\(364\) | 13.7989 | + | 5.02239i | 0.723259 | + | 0.263245i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −9.53519 | + | 11.3636i | −0.498412 | + | 0.593985i | ||||
\(367\) | −1.15002 | + | 6.52206i | −0.0600303 | + | 0.340449i | −1.00000 | 0.000810039i | \(-0.999742\pi\) | |
0.939969 | + | 0.341259i | \(0.110853\pi\) | |||||||
\(368\) | −0.112463 | − | 0.194792i | −0.00586256 | − | 0.0101543i | ||||
\(369\) | 12.0116 | + | 20.8047i | 0.625300 | + | 1.08305i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 25.4466 | + | 21.3522i | 1.32112 | + | 1.10855i | ||||
\(372\) | −7.55525 | − | 4.36203i | −0.391722 | − | 0.226161i | ||||
\(373\) | 5.52023 | + | 31.3068i | 0.285827 | + | 1.62100i | 0.702318 | + | 0.711864i | \(0.252149\pi\) |
−0.416491 | + | 0.909140i | \(0.636740\pi\) | |||||||
\(374\) | −0.328411 | + | 0.275570i | −0.0169817 | + | 0.0142494i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −9.24675 | + | 3.36554i | −0.476865 | + | 0.173565i | ||||
\(377\) | −18.4739 | −0.951454 | ||||||||
\(378\) | −16.9145 | + | 2.98248i | −0.869986 | + | 0.153402i | ||||
\(379\) | −34.1925 | −1.75635 | −0.878176 | − | 0.478337i | \(-0.841240\pi\) | ||||
−0.878176 | + | 0.478337i | \(0.841240\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −21.8346 | − | 26.0214i | −1.11862 | − | 1.33312i | ||||
\(382\) | 6.83615 | − | 5.73621i | 0.349768 | − | 0.293490i | ||||
\(383\) | 4.13294 | + | 23.4391i | 0.211183 | + | 1.19768i | 0.887408 | + | 0.460985i | \(0.152504\pi\) |
−0.676224 | + | 0.736696i | \(0.736385\pi\) | |||||||
\(384\) | −10.2638 | + | 5.92582i | −0.523774 | + | 0.302401i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −0.154925 | + | 0.268338i | −0.00788548 | + | 0.0136581i | ||||
\(387\) | −27.9688 | + | 23.4686i | −1.42174 | + | 1.19298i | ||||
\(388\) | 3.75402 | + | 6.50216i | 0.190582 | + | 0.330097i | ||||
\(389\) | 0.769915 | − | 4.36640i | 0.0390362 | − | 0.221385i | −0.959049 | − | 0.283241i | \(-0.908591\pi\) |
0.998085 | + | 0.0618550i | \(0.0197016\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.36097 | + | 0.859322i | 0.119399 | + | 0.0434578i | ||||
\(392\) | 19.0069 | + | 6.91793i | 0.959992 | + | 0.349408i | ||||
\(393\) | −10.7260 | − | 29.4694i | −0.541053 | − | 1.48653i | ||||
\(394\) | 3.30659 | − | 18.7526i | 0.166584 | − | 0.944742i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −0.665802 | + | 3.77595i | −0.0334578 | + | 0.189749i | ||||
\(397\) | −9.41875 | + | 16.3138i | −0.472713 | + | 0.818764i | −0.999512 | − | 0.0312263i | \(-0.990059\pi\) |
0.526799 | + | 0.849990i | \(0.323392\pi\) | |||||||
\(398\) | 16.1958 | + | 13.5899i | 0.811821 | + | 0.681199i | ||||
\(399\) | − | 30.5636i | − | 1.53009i | ||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −7.00387 | + | 5.87695i | −0.349757 | + | 0.293481i | −0.800692 | − | 0.599076i | \(-0.795535\pi\) |
0.450936 | + | 0.892556i | \(0.351090\pi\) | |||||||
\(402\) | 0.949655 | − | 2.60916i | 0.0473645 | − | 0.130133i | ||||
\(403\) | −12.2883 | + | 4.47259i | −0.612125 | + | 0.222795i | ||||
\(404\) | −2.42602 | −0.120699 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −19.1735 | −0.951567 | ||||||||
\(407\) | −4.38191 | + | 1.59489i | −0.217203 | + | 0.0790555i | ||||
\(408\) | −0.786522 | + | 2.16095i | −0.0389386 | + | 0.106983i | ||||
\(409\) | 21.2920 | − | 17.8661i | 1.05282 | − | 0.883424i | 0.0594360 | − | 0.998232i | \(-0.481070\pi\) |
0.993388 | + | 0.114808i | \(0.0366253\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | − | 25.2902i | − | 1.24747i | ||||||
\(412\) | −11.2369 | − | 9.42892i | −0.553605 | − | 0.464530i | ||||
\(413\) | 25.6459 | − | 44.4200i | 1.26195 | − | 2.18577i | ||||
\(414\) | −13.3115 | + | 4.84499i | −0.654224 | + | 0.238118i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −3.11809 | + | 17.6836i | −0.152877 | + | 0.867008i | ||||
\(417\) | 13.1031 | + | 36.0006i | 0.641663 | + | 1.76295i | ||||
\(418\) | 4.04189 | + | 1.47113i | 0.197695 | + | 0.0719552i | ||||
\(419\) | −7.55943 | − | 2.75141i | −0.369302 | − | 0.134415i | 0.150701 | − | 0.988579i | \(-0.451847\pi\) |
−0.520003 | + | 0.854164i | \(0.674069\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.44862 | + | 19.5581i | −0.168075 | + | 0.953202i | 0.777762 | + | 0.628559i | \(0.216355\pi\) |
−0.945837 | + | 0.324643i | \(0.894756\pi\) | |||||||
\(422\) | 2.85591 | + | 4.94659i | 0.139024 | + | 0.240796i | ||||
\(423\) | 1.80659 | + | 10.2457i | 0.0878394 | + | 0.498162i | ||||
\(424\) | −12.5382 | + | 21.7168i | −0.608908 | + | 1.05466i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 10.1600 | − | 5.86587i | 0.492253 | − | 0.284202i | ||||
\(427\) | −6.35679 | − | 36.0512i | −0.307627 | − | 1.74464i | ||||
\(428\) | 19.3935 | − | 16.2731i | 0.937421 | − | 0.786590i | ||||
\(429\) | 3.69429 | + | 4.40268i | 0.178362 | + | 0.212563i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −5.89393 | −0.283901 | −0.141950 | − | 0.989874i | \(-0.545337\pi\) | ||||
−0.141950 | + | 0.989874i | \(0.545337\pi\) | |||||||
\(432\) | −0.0744448 | − | 0.204535i | −0.00358173 | − | 0.00984071i | ||||
\(433\) | −3.82201 | −0.183674 | −0.0918372 | − | 0.995774i | \(-0.529274\pi\) | ||||
−0.0918372 | + | 0.995774i | \(0.529274\pi\) | |||||||
\(434\) | −12.7537 | + | 4.64197i | −0.612198 | + | 0.222822i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.407604 | + | 0.342020i | −0.0195207 | + | 0.0163798i | ||||
\(437\) | −4.37733 | − | 24.8250i | −0.209396 | − | 1.18754i | ||||
\(438\) | 1.07532 | + | 0.620838i | 0.0513809 | + | 0.0296648i | ||||
\(439\) | 29.3200 | + | 24.6024i | 1.39937 | + | 1.17421i | 0.961379 | + | 0.275229i | \(0.0887536\pi\) |
0.437989 | + | 0.898980i | \(0.355691\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 10.6925 | − | 18.5200i | 0.509168 | − | 0.881905i | ||||
\(442\) | 0.655230 | + | 1.13489i | 0.0311661 | + | 0.0539813i | ||||
\(443\) | −2.31892 | + | 13.1512i | −0.110175 | + | 0.624834i | 0.878852 | + | 0.477095i | \(0.158310\pi\) |
−0.989027 | + | 0.147738i | \(0.952801\pi\) | |||||||
\(444\) | −6.11246 | + | 7.28455i | −0.290085 | + | 0.345709i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 4.78699 | + | 1.74232i | 0.226670 | + | 0.0825013i | ||||
\(447\) | 15.8726 | − | 18.9162i | 0.750747 | − | 0.894706i | ||||
\(448\) | −3.29086 | + | 18.6634i | −0.155478 | + | 0.881762i | ||||
\(449\) | −3.45929 | − | 5.99167i | −0.163254 | − | 0.282764i | 0.772780 | − | 0.634674i | \(-0.218866\pi\) |
−0.936034 | + | 0.351910i | \(0.885532\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.17159 | − | 7.22540i | 0.196432 | − | 0.340231i | ||||
\(452\) | 5.40420 | + | 4.53466i | 0.254192 | + | 0.213293i | ||||
\(453\) | −6.95723 | − | 4.01676i | −0.326879 | − | 0.188724i | ||||
\(454\) | 1.97431 | + | 11.1969i | 0.0926589 | + | 0.525494i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 22.7219 | − | 4.00649i | 1.06405 | − | 0.187621i | ||||
\(457\) | −7.80928 | + | 2.84234i | −0.365303 | + | 0.132959i | −0.518148 | − | 0.855291i | \(-0.673378\pi\) |
0.152846 | + | 0.988250i | \(0.451156\pi\) | |||||||
\(458\) | −1.09833 | −0.0513214 | ||||||||
\(459\) | 2.10560 | + | 1.21567i | 0.0982810 | + | 0.0567426i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 23.2319 | − | 8.45572i | 1.08202 | − | 0.393822i | 0.261359 | − | 0.965242i | \(-0.415829\pi\) |
0.820658 | + | 0.571420i | \(0.193607\pi\) | |||||||
\(462\) | 3.83420 | + | 4.56942i | 0.178383 | + | 0.212589i | ||||
\(463\) | −0.0983261 | + | 0.0825054i | −0.00456960 | + | 0.00383435i | −0.645070 | − | 0.764124i | \(-0.723172\pi\) |
0.640500 | + | 0.767958i | \(0.278727\pi\) | |||||||
\(464\) | −0.0421938 | − | 0.239293i | −0.00195880 | − | 0.0111089i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.256959 | − | 0.215615i | −0.0119034 | − | 0.00998815i | ||||
\(467\) | 19.9577 | − | 34.5678i | 0.923532 | − | 1.59960i | 0.129627 | − | 0.991563i | \(-0.458622\pi\) |
0.793905 | − | 0.608042i | \(-0.208045\pi\) | |||||||
\(468\) | 11.0134 | + | 4.00854i | 0.509093 | + | 0.185295i | ||||
\(469\) | 3.42602 | + | 5.93404i | 0.158199 | + | 0.274009i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −21.4525 | − | 3.78265i | −0.988478 | − | 0.174295i | ||||
\(472\) | 36.3851 | + | 13.2431i | 1.67476 | + | 0.609562i | ||||
\(473\) | 11.9153 | + | 4.33683i | 0.547868 | + | 0.199408i | ||||
\(474\) | 2.11318 | + | 5.80591i | 0.0970615 | + | 0.266674i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −1.07873 | − | 1.86841i | −0.0494433 | − | 0.0856383i | ||||
\(477\) | 20.3097 | + | 17.0419i | 0.929919 | + | 0.780295i | ||||
\(478\) | 1.38191 | − | 2.39354i | 0.0632072 | − | 0.109478i | ||||
\(479\) | −6.30200 | − | 5.28801i | −0.287946 | − | 0.241615i | 0.487360 | − | 0.873201i | \(-0.337960\pi\) |
−0.775306 | + | 0.631586i | \(0.782404\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.47519 | + | 14.0375i | 0.112859 | + | 0.640054i | ||||
\(482\) | −5.05959 | + | 4.24550i | −0.230458 | + | 0.193377i | ||||
\(483\) | 11.9564 | − | 32.8498i | 0.544033 | − | 1.49472i | ||||
\(484\) | −11.4284 | + | 4.15961i | −0.519475 | + | 0.189073i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −13.5000 | + | 2.38041i | −0.612372 | + | 0.107978i | ||||
\(487\) | 2.84760 | 0.129037 | 0.0645186 | − | 0.997917i | \(-0.479449\pi\) | ||||
0.0645186 | + | 0.997917i | \(0.479449\pi\) | |||||||
\(488\) | 25.9683 | − | 9.45168i | 1.17553 | − | 0.427857i | ||||
\(489\) | −3.79355 | + | 10.4227i | −0.171550 | + | 0.471330i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −6.89481 | − | 39.1024i | −0.311158 | − | 1.76467i | −0.592996 | − | 0.805205i | \(-0.702055\pi\) |
0.281838 | − | 0.959462i | \(-0.409056\pi\) | |||||||
\(492\) | − | 17.0138i | − | 0.767043i | ||||||
\(493\) | 2.07919 | + | 1.74465i | 0.0936421 | + | 0.0785751i | ||||
\(494\) | 6.57398 | − | 11.3865i | 0.295777 | − | 0.512301i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.0859997 | − | 0.148956i | −0.00386150 | − | 0.00668831i | ||||
\(497\) | −5.02734 | + | 28.5115i | −0.225507 | + | 1.27891i | ||||
\(498\) | −8.86009 | − | 24.3429i | −0.397030 | − | 1.09083i | ||||
\(499\) | 36.4962 | + | 13.2835i | 1.63379 | + | 0.594652i | 0.985938 | − | 0.167111i | \(-0.0534438\pi\) |
0.647856 | + | 0.761763i | \(0.275666\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −15.2554 | − | 2.68993i | −0.681560 | − | 0.120177i | ||||
\(502\) | 2.34776 | − | 13.3148i | 0.104786 | − | 0.594270i | ||||
\(503\) | 13.5530 | + | 23.4745i | 0.604300 | + | 1.04668i | 0.992162 | + | 0.124961i | \(0.0398804\pi\) |
−0.387862 | + | 0.921718i | \(0.626786\pi\) | |||||||
\(504\) | 30.0669 | + | 10.9434i | 1.33928 | + | 0.487460i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 3.76873 | + | 3.16234i | 0.167541 | + | 0.140583i | ||||
\(507\) | −4.28564 | + | 2.47432i | −0.190332 | + | 0.109888i | ||||
\(508\) | 4.17752 | + | 23.6919i | 0.185347 | + | 1.05116i | ||||
\(509\) | −14.8105 | + | 12.4275i | −0.656462 | + | 0.550837i | −0.909024 | − | 0.416744i | \(-0.863171\pi\) |
0.252562 | + | 0.967581i | \(0.418727\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.87939 | + | 1.04801i | −0.127377 | + | 0.0463613i | ||||
\(512\) | −0.473897 | −0.0209435 | ||||||||
\(513\) | − | 24.3938i | − | 1.07701i | ||||||
\(514\) | 15.7297 | 0.693806 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 25.4650 | − | 4.49016i | 1.12103 | − | 0.197668i | ||||
\(517\) | 2.76786 | − | 2.32251i | 0.121730 | − | 0.102144i | ||||
\(518\) | 2.56893 | + | 14.5691i | 0.112872 | + | 0.640130i | ||||
\(519\) | −9.10385 | − | 5.25611i | −0.399614 | − | 0.230718i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −12.2618 | + | 21.2380i | −0.537198 | + | 0.930454i | 0.461856 | + | 0.886955i | \(0.347184\pi\) |
−0.999053 | + | 0.0434986i | \(0.986150\pi\) | |||||||
\(522\) | −15.3030 | −0.669796 | ||||||||
\(523\) | 4.31521 | + | 7.47416i | 0.188691 | + | 0.326822i | 0.944814 | − | 0.327607i | \(-0.106242\pi\) |
−0.756123 | + | 0.654429i | \(0.772909\pi\) | |||||||
\(524\) | −3.85679 | + | 21.8730i | −0.168485 | + | 0.955524i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.20574 | − | 1.16679i | −0.139777 | − | 0.0508746i | ||||
\(527\) | 1.80541 | + | 0.657115i | 0.0786448 | + | 0.0286244i | ||||
\(528\) | −0.0485904 | + | 0.0579078i | −0.00211462 | + | 0.00252011i | ||||
\(529\) | 1.01279 | − | 5.74384i | 0.0440345 | − | 0.249732i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 20.4688 | − | 35.4531i | 0.888272 | − | 1.53853i | ||||
\(532\) | −10.8229 | + | 18.7459i | −0.469234 | + | 0.812738i | ||||
\(533\) | −19.5364 | − | 16.3930i | −0.846217 | − | 0.710060i | ||||
\(534\) | 13.7144 | + | 7.91799i | 0.593478 | + | 0.342645i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −3.96245 | + | 3.32489i | −0.171152 | + | 0.143613i | ||||
\(537\) | −6.14749 | + | 1.08397i | −0.265284 | + | 0.0467767i | ||||
\(538\) | 16.3687 | − | 5.95772i | 0.705705 | − | 0.256856i | ||||
\(539\) | −7.42696 | −0.319902 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 21.5722 | 0.927462 | 0.463731 | − | 0.885976i | \(-0.346510\pi\) | ||||
0.463731 | + | 0.885976i | \(0.346510\pi\) | |||||||
\(542\) | 12.2208 | − | 4.44799i | 0.524926 | − | 0.191058i | ||||
\(543\) | 12.3867 | + | 14.7618i | 0.531562 | + | 0.633491i | ||||
\(544\) | 2.02094 | − | 1.69577i | 0.0866473 | − | 0.0727057i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 15.7906 | − | 9.11668i | 0.675773 | − | 0.390158i | ||||
\(547\) | 17.3289 | + | 14.5407i | 0.740929 | + | 0.621714i | 0.933087 | − | 0.359651i | \(-0.117104\pi\) |
−0.192158 | + | 0.981364i | \(0.561549\pi\) | |||||||
\(548\) | −8.95558 | + | 15.5115i | −0.382564 | + | 0.662620i | ||||
\(549\) | −5.07357 | − | 28.7736i | −0.216535 | − | 1.22803i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 4.72874 | − | 26.8180i | 0.201451 | − | 1.14249i | ||||
\(552\) | 25.9889 | + | 4.58255i | 1.10616 | + | 0.195046i | ||||
\(553\) | −14.3277 | − | 5.21485i | −0.609276 | − | 0.221758i | ||||
\(554\) | 14.5005 | + | 5.27774i | 0.616066 | + | 0.224230i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 4.71156 | − | 26.7206i | 0.199815 | − | 1.13321i | ||||
\(557\) | 22.9807 | + | 39.8037i | 0.973724 | + | 1.68654i | 0.684084 | + | 0.729403i | \(0.260202\pi\) |
0.289640 | + | 0.957136i | \(0.406465\pi\) | |||||||
\(558\) | −10.1792 | + | 3.70491i | −0.430919 | + | 0.156842i | ||||
\(559\) | 19.3799 | − | 33.5669i | 0.819680 | − | 1.41973i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | − | 0.844395i | − | 0.0356504i | ||||||
\(562\) | 0.957234 | + | 5.42874i | 0.0403785 | + | 0.228998i | ||||
\(563\) | −2.20645 | + | 1.85143i | −0.0929909 | + | 0.0780286i | −0.688098 | − | 0.725618i | \(-0.741554\pi\) |
0.595107 | + | 0.803646i | \(0.297110\pi\) | |||||||
\(564\) | 2.52007 | − | 6.92383i | 0.106114 | − | 0.291546i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 5.56893 | 0.234079 | ||||||||
\(567\) | 16.9145 | − | 29.2967i | 0.710341 | − | 1.23035i | ||||
\(568\) | −21.8553 | −0.917030 | ||||||||
\(569\) | −35.1472 | + | 12.7925i | −1.47345 | + | 0.536292i | −0.949035 | − | 0.315172i | \(-0.897938\pi\) |
−0.524414 | + | 0.851463i | \(0.675716\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −19.2324 | + | 16.1379i | −0.804849 | + | 0.675349i | −0.949372 | − | 0.314153i | \(-0.898280\pi\) |
0.144523 | + | 0.989501i | \(0.453835\pi\) | |||||||
\(572\) | −0.706813 | − | 4.00854i | −0.0295533 | − | 0.167605i | ||||
\(573\) | 17.5768i | 0.734280i | ||||||||
\(574\) | −20.2763 | − | 17.0138i | −0.846317 | − | 0.710144i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −2.62654 | + | 14.8959i | −0.109439 | + | 0.620661i | ||||
\(577\) | 2.39053 | + | 4.14052i | 0.0995190 | + | 0.172372i | 0.911486 | − | 0.411332i | \(-0.134936\pi\) |
−0.811967 | + | 0.583704i | \(0.801603\pi\) | |||||||
\(578\) | −2.56253 | + | 14.5328i | −0.106587 | + | 0.604486i | ||||
\(579\) | −0.208730 | − | 0.573481i | −0.00867453 | − | 0.0238331i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 60.0729 | + | 21.8647i | 2.49224 | + | 0.907102i | ||||
\(582\) | 9.18092 | + | 1.61884i | 0.380561 | + | 0.0671033i | ||||
\(583\) | 1.59890 | − | 9.06781i | 0.0662196 | − | 0.375550i | ||||
\(584\) | −1.15657 | − | 2.00324i | −0.0478594 | − | 0.0828949i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −2.01233 | + | 3.48545i | −0.0831284 | + | 0.143983i | ||||
\(587\) | −18.0116 | − | 15.1135i | −0.743419 | − | 0.623802i | 0.190335 | − | 0.981719i | \(-0.439043\pi\) |
−0.933753 | + | 0.357917i | \(0.883487\pi\) | |||||||
\(588\) | −13.1163 | + | 7.57272i | −0.540908 | + | 0.312294i | ||||
\(589\) | −3.34730 | − | 18.9835i | −0.137923 | − | 0.782200i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 24.1079 | + | 28.7307i | 0.991666 | + | 1.18182i | ||||
\(592\) | −0.176174 | + | 0.0641222i | −0.00724072 | + | 0.00263541i | ||||
\(593\) | 2.98276 | 0.122487 | 0.0612437 | − | 0.998123i | \(-0.480493\pi\) | ||||
0.0612437 | + | 0.998123i | \(0.480493\pi\) | |||||||
\(594\) | 3.06020 | + | 3.64701i | 0.125562 | + | 0.149638i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −16.4338 | + | 5.98140i | −0.673153 | + | 0.245008i | ||||
\(597\) | −41.0091 | + | 7.23102i | −1.67839 | + | 0.295946i | ||||
\(598\) | 11.5201 | − | 9.66648i | 0.471091 | − | 0.395292i | ||||
\(599\) | −5.51930 | − | 31.3015i | −0.225512 | − | 1.27894i | −0.861703 | − | 0.507412i | \(-0.830602\pi\) |
0.636191 | − | 0.771532i | \(-0.280509\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 28.2763 | + | 23.7266i | 1.15341 | + | 0.967830i | 0.999794 | − | 0.0202999i | \(-0.00646211\pi\) |
0.153621 | + | 0.988130i | \(0.450907\pi\) | |||||||
\(602\) | 20.1138 | − | 34.8381i | 0.819778 | − | 1.41990i | ||||
\(603\) | 2.73442 | + | 4.73616i | 0.111354 | + | 0.192871i | ||||
\(604\) | 2.84477 | + | 4.92729i | 0.115752 | + | 0.200488i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −1.93629 | + | 2.30758i | −0.0786564 | + | 0.0937390i | ||||
\(607\) | −29.5355 | − | 10.7501i | −1.19881 | − | 0.436331i | −0.336002 | − | 0.941861i | \(-0.609075\pi\) |
−0.862809 | + | 0.505530i | \(0.831297\pi\) | |||||||
\(608\) | −24.8726 | − | 9.05288i | −1.00872 | − | 0.367143i | ||||
\(609\) | 24.2746 | − | 28.9293i | 0.983655 | − | 1.17227i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −5.52229 | − | 9.56488i | −0.223408 | − | 0.386954i | ||||
\(612\) | −0.860967 | − | 1.49124i | −0.0348025 | − | 0.0602797i | ||||
\(613\) | −12.7057 | + | 22.0070i | −0.513180 | + | 0.888854i | 0.486703 | + | 0.873567i | \(0.338199\pi\) |
−0.999883 | + | 0.0152863i | \(0.995134\pi\) | |||||||
\(614\) | 2.72803 | + | 2.28909i | 0.110094 | + | 0.0923800i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.92962 | − | 10.9434i | −0.0777468 | − | 0.440924i | ||||
\(617\) | 16.7422 | − | 14.0483i | 0.674014 | − | 0.565565i | −0.240236 | − | 0.970714i | \(-0.577225\pi\) |
0.914250 | + | 0.405149i | \(0.132781\pi\) | |||||||
\(618\) | −17.9372 | + | 3.16281i | −0.721539 | + | 0.127227i | ||||
\(619\) | 37.8619 | − | 13.7806i | 1.52180 | − | 0.553889i | 0.560202 | − | 0.828356i | \(-0.310724\pi\) |
0.961597 | + | 0.274467i | \(0.0885014\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 9.54277 | − | 26.2185i | 0.382938 | − | 1.05211i | ||||
\(622\) | −4.33368 | −0.173765 | ||||||||
\(623\) | −36.7229 | + | 13.3660i | −1.47127 | + | 0.535499i | ||||
\(624\) | 0.148529 | + | 0.177009i | 0.00594590 | + | 0.00708605i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 2.11081 | + | 11.9710i | 0.0843651 | + | 0.478458i | ||||
\(627\) | −7.33687 | + | 4.23594i | −0.293006 | + | 0.169167i | ||||
\(628\) | 11.8182 | + | 9.91665i | 0.471598 | + | 0.395717i | ||||
\(629\) | 1.04710 | − | 1.81364i | 0.0417508 | − | 0.0723144i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 13.9650 | + | 24.1880i | 0.555937 | + | 0.962911i | 0.997830 | + | 0.0658432i | \(0.0209737\pi\) |
−0.441893 | + | 0.897068i | \(0.645693\pi\) | |||||||
\(632\) | 1.99871 | − | 11.3353i | 0.0795045 | − | 0.450892i | ||||
\(633\) | −11.0792 | − | 1.95356i | −0.440358 | − | 0.0776471i | ||||
\(634\) | −12.8011 | − | 4.65923i | −0.508398 | − | 0.185042i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −6.42205 | − | 17.6444i | −0.254651 | − | 0.699647i | ||||
\(637\) | −3.94222 | + | 22.3574i | −0.156196 | + | 0.885834i | ||||
\(638\) | 2.65735 | + | 4.60266i | 0.105205 | + | 0.182221i | ||||
\(639\) | −4.01249 | + | 22.7560i | −0.158732 | + | 0.900212i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −23.7230 | − | 19.9060i | −0.937003 | − | 0.786239i | 0.0400580 | − | 0.999197i | \(-0.487246\pi\) |
−0.977061 | + | 0.212958i | \(0.931690\pi\) | |||||||
\(642\) | − | 31.4348i | − | 1.24063i | ||||||
\(643\) | −5.70068 | − | 32.3302i | −0.224813 | − | 1.27498i | −0.863042 | − | 0.505132i | \(-0.831444\pi\) |
0.638229 | − | 0.769846i | \(-0.279667\pi\) | |||||||
\(644\) | −18.9659 | + | 15.9142i | −0.747359 | + | 0.627109i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.81521 | + | 0.660681i | −0.0714184 | + | 0.0259942i | ||||
\(647\) | −11.1310 | −0.437606 | −0.218803 | − | 0.975769i | \(-0.570215\pi\) | ||||
−0.218803 | + | 0.975769i | \(0.570215\pi\) | |||||||
\(648\) | 23.9974 | + | 8.73433i | 0.942706 | + | 0.343117i | ||||
\(649\) | −14.2175 | −0.558086 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 9.14290 | − | 25.1199i | 0.358339 | − | 0.984527i | ||||
\(652\) | 6.01754 | − | 5.04932i | 0.235665 | − | 0.197746i | ||||
\(653\) | −0.866592 | − | 4.91469i | −0.0339124 | − | 0.192327i | 0.963145 | − | 0.268982i | \(-0.0866871\pi\) |
−0.997058 | + | 0.0766550i | \(0.975576\pi\) | |||||||
\(654\) | 0.660681i | 0.0258347i | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0.167718 | − | 0.290497i | 0.00654830 | − | 0.0113420i | ||||
\(657\) | −2.29813 | + | 0.836452i | −0.0896587 | + | 0.0326331i | ||||
\(658\) | −5.73143 | − | 9.92713i | −0.223434 | − | 0.387000i | ||||
\(659\) | 3.68825 | − | 20.9171i | 0.143674 | − | 0.814815i | −0.824748 | − | 0.565500i | \(-0.808683\pi\) |
0.968422 | − | 0.249315i | \(-0.0802056\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.06506 | − | 0.387648i | −0.0414258 | − | 0.0150778i | 0.321224 | − | 0.947003i | \(-0.395906\pi\) |
−0.362650 | + | 0.931925i | \(0.618128\pi\) | |||||||
\(662\) | 6.73308 | + | 2.45064i | 0.261689 | + | 0.0952468i | ||||
\(663\) | −2.54189 | − | 0.448204i | −0.0987188 | − | 0.0174068i | ||||
\(664\) | −8.38016 | + | 47.5262i | −0.325213 | + | 1.84438i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.05035 | + | 11.6281i | 0.0794493 | + | 0.450579i | ||||
\(667\) | 15.5736 | − | 26.9742i | 0.603011 | − | 1.04445i | ||||
\(668\) | 8.40420 | + | 7.05196i | 0.325168 | + | 0.272849i | ||||
\(669\) | −8.68938 | + | 5.01681i | −0.335951 | + | 0.193961i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −7.77316 | + | 6.52245i | −0.300079 | + | 0.251796i | ||||
\(672\) | −23.5945 | − | 28.1188i | −0.910178 | − | 1.08471i | ||||
\(673\) | −41.2083 | + | 14.9986i | −1.58846 | + | 0.578154i | −0.977023 | − | 0.213136i | \(-0.931632\pi\) |
−0.611441 | + | 0.791290i | \(0.709410\pi\) | |||||||
\(674\) | −5.01010 | −0.192982 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.50475 | 0.134798 | ||||||||
\(677\) | 9.53033 | − | 3.46876i | 0.366280 | − | 0.133315i | −0.152321 | − | 0.988331i | \(-0.548675\pi\) |
0.518602 | + | 0.855016i | \(0.326453\pi\) | |||||||
\(678\) | 8.62654 | − | 1.52109i | 0.331300 | − | 0.0584172i | ||||
\(679\) | −17.6236 | + | 14.7880i | −0.676332 | + | 0.567510i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −19.3935 | − | 11.1969i | −0.743161 | − | 0.429064i | ||||
\(682\) | 2.88191 | + | 2.41821i | 0.110354 | + | 0.0925981i | ||||
\(683\) | −2.53091 | + | 4.38366i | −0.0968425 | + | 0.167736i | −0.910376 | − | 0.413782i | \(-0.864208\pi\) |
0.813534 | + | 0.581518i | \(0.197541\pi\) | |||||||
\(684\) | −8.63816 | + | 14.9617i | −0.330288 | + | 0.572076i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −0.0736733 | + | 0.417822i | −0.00281286 | + | 0.0159525i | ||||
\(687\) | 1.39053 | − | 1.65717i | 0.0530520 | − | 0.0632249i | ||||
\(688\) | 0.479055 | + | 0.174362i | 0.0182638 | + | 0.00664749i | ||||
\(689\) | −26.4482 | − | 9.62636i | −1.00760 | − | 0.366735i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.22147 | − | 23.9411i | 0.160592 | − | 0.910763i | −0.792901 | − | 0.609350i | \(-0.791430\pi\) |
0.953494 | − | 0.301413i | \(-0.0974584\pi\) | |||||||
\(692\) | 3.72251 | + | 6.44757i | 0.141508 | + | 0.245100i | ||||
\(693\) | −11.7487 | −0.446295 | ||||||||
\(694\) | 11.7182 | − | 20.2966i | 0.444818 | − | 0.770447i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 24.6890 | + | 14.2542i | 0.935835 | + | 0.540305i | ||||
\(697\) | 0.650644 | + | 3.68999i | 0.0246449 | + | 0.139768i | ||||
\(698\) | −5.36160 | + | 4.49891i | −0.202939 | + | 0.170286i | ||||
\(699\) | 0.650644 | − | 0.114726i | 0.0246096 | − | 0.00433934i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 46.7256 | 1.76480 | 0.882400 | − | 0.470500i | \(-0.155926\pi\) | ||||
0.882400 | + | 0.470500i | \(0.155926\pi\) | |||||||
\(702\) | 12.6030 | − | 7.27633i | 0.475668 | − | 0.274627i | ||||
\(703\) | −21.0114 | −0.792459 | ||||||||
\(704\) | 4.93629 | − | 1.79666i | 0.186043 | − | 0.0677143i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 9.67546 | − | 8.11867i | 0.364141 | − | 0.305550i | ||||
\(707\) | −1.29086 | − | 7.32083i | −0.0485478 | − | 0.275328i | ||||
\(708\) | −25.1088 | + | 14.4965i | −0.943645 | + | 0.544814i | ||||
\(709\) | −6.47044 | − | 5.42934i | −0.243002 | − | 0.203903i | 0.513150 | − | 0.858299i | \(-0.328479\pi\) |
−0.756152 | + | 0.654396i | \(0.772923\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −11.4354 | − | 4.16215i | −0.428861 | − | 0.156093i | ||||
\(712\) | −14.7506 | − | 25.5488i | −0.552803 | − | 0.957483i | ||||
\(713\) | 3.82857 | − | 21.7129i | 0.143381 | − | 0.813155i | ||||
\(714\) | −2.63816 | − | 0.465178i | −0.0987305 | − | 0.0174089i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 4.15435 | + | 1.51206i | 0.155255 | + | 0.0565084i | ||||
\(717\) | 1.86184 | + | 5.11538i | 0.0695318 | + | 0.191037i | ||||
\(718\) | −3.15611 | + | 17.8992i | −0.117785 | + | 0.667991i | ||||
\(719\) | 12.5924 | + | 21.8107i | 0.469617 | + | 0.813401i | 0.999397 | − | 0.0347347i | \(-0.0110586\pi\) |
−0.529779 | + | 0.848135i | \(0.677725\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 22.4739 | − | 38.9259i | 0.836972 | − | 1.44968i | ||||
\(722\) | 2.04735 | + | 1.71793i | 0.0761946 | + | 0.0639348i | ||||
\(723\) | − | 13.0090i | − | 0.483809i | ||||||
\(724\) | −2.36989 | − | 13.4403i | −0.0880763 | − | 0.499505i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −5.16489 | + | 14.1904i | −0.191687 | + | 0.526656i | ||||
\(727\) | 11.3375 | − | 4.12651i | 0.420484 | − | 0.153044i | −0.123108 | − | 0.992393i | \(-0.539286\pi\) |
0.543592 | + | 0.839349i | \(0.317064\pi\) | |||||||
\(728\) | −33.9674 | −1.25892 | ||||||||
\(729\) | 13.5000 | − | 23.3827i | 0.500000 | − | 0.866025i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −5.35117 | + | 1.94767i | −0.197920 | + | 0.0720370i | ||||
\(732\) | −7.07728 | + | 19.4447i | −0.261584 | + | 0.718695i | ||||
\(733\) | 30.9818 | − | 25.9968i | 1.14434 | − | 0.960214i | 0.144767 | − | 0.989466i | \(-0.453757\pi\) |
0.999572 | + | 0.0292515i | \(0.00931236\pi\) | |||||||
\(734\) | −1.01131 | − | 5.73540i | −0.0373280 | − | 0.211698i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −23.1917 | − | 19.4601i | −0.854856 | − | 0.717309i | ||||
\(737\) | 0.949655 | − | 1.64485i | 0.0349810 | − | 0.0605889i | ||||
\(738\) | −16.1832 | − | 13.5793i | −0.595712 | − | 0.499862i | ||||
\(739\) | −4.33140 | − | 7.50221i | −0.159333 | − | 0.275973i | 0.775295 | − | 0.631599i | \(-0.217601\pi\) |
−0.934628 | + | 0.355626i | \(0.884268\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 8.85710 | + | 24.3347i | 0.325374 | + | 0.893957i | ||||
\(742\) | −27.4499 | − | 9.99093i | −1.00772 | − | 0.366779i | ||||
\(743\) | −16.4804 | − | 5.99837i | −0.604607 | − | 0.220059i | 0.0215347 | − | 0.999768i | \(-0.493145\pi\) |
−0.626142 | + | 0.779709i | \(0.715367\pi\) | |||||||
\(744\) | 19.8735 | + | 3.50423i | 0.728596 | + | 0.128471i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −13.9777 | − | 24.2101i | −0.511760 | − | 0.886395i | ||||
\(747\) | 47.9461 | + | 17.4510i | 1.75426 | + | 0.638498i | ||||
\(748\) | −0.299011 | + | 0.517902i | −0.0109329 | + | 0.0189364i | ||||
\(749\) | 59.4252 | + | 49.8637i | 2.17135 | + | 1.82198i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −5.13253 | − | 29.1080i | −0.187289 | − | 1.06217i | −0.922979 | − | 0.384849i | \(-0.874253\pi\) |
0.735691 | − | 0.677318i | \(-0.236858\pi\) | |||||||
\(752\) | 0.111281 | − | 0.0933762i | 0.00405802 | − | 0.00340508i | ||||
\(753\) | 17.1172 | + | 20.3995i | 0.623786 | + | 0.743399i | ||||
\(754\) | 15.2659 | − | 5.55635i | 0.555953 | − | 0.202350i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −20.7487 | + | 11.9792i | −0.754622 | + | 0.435681i | ||||
\(757\) | −26.1165 | −0.949220 | −0.474610 | − | 0.880196i | \(-0.657411\pi\) | ||||
−0.474610 | + | 0.880196i | \(0.657411\pi\) | |||||||
\(758\) | 28.2551 | − | 10.2840i | 1.02627 | − | 0.373532i | ||||
\(759\) | −9.54277 | + | 1.68265i | −0.346380 | + | 0.0610762i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −1.78136 | − | 10.1026i | −0.0645744 | − | 0.366220i | −0.999922 | − | 0.0124897i | \(-0.996024\pi\) |
0.935348 | − | 0.353730i | \(-0.115087\pi\) | |||||||
\(762\) | 25.8694 | + | 14.9357i | 0.937150 | + | 0.541064i | ||||
\(763\) | −1.24897 | − | 1.04801i | −0.0452158 | − | 0.0379405i | ||||
\(764\) | 6.22416 | − | 10.7806i | 0.225182 | − | 0.390027i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −10.4650 | − | 18.1259i | −0.378115 | − | 0.654914i | ||||
\(767\) | −7.54664 | + | 42.7991i | −0.272493 | + | 1.54539i | ||||
\(768\) | 17.9259 | − | 21.3633i | 0.646846 | − | 0.770881i | ||||
\(769\) | −26.7520 | − | 9.73692i | −0.964700 | − | 0.351122i | −0.188827 | − | 0.982010i | \(-0.560468\pi\) |
−0.775874 | + | 0.630888i | \(0.782691\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −19.9145 | + | 23.7331i | −0.717202 | + | 0.854728i | ||||
\(772\) | −0.0750542 | + | 0.425653i | −0.00270126 | + | 0.0153196i | ||||