Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1755,2,Mod(586,1755)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1755, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1755.586");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1755 = 3^{3} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1755.i (of order \(3\), degree \(2\), 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: | \(14.0137455547\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{3})\) |
Twist minimal: | no (minimal twist has level 585) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 586.11 | ||
Character | \(\chi\) | \(=\) | 1755.586 |
Dual form | 1755.2.i.h.1171.11 |
$q$-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 \(\left(\mathbb{Z}/1755\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(1081\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.644173 | − | 1.11574i | 0.455499 | − | 0.788948i | −0.543217 | − | 0.839592i | \(-0.682794\pi\) |
0.998717 | + | 0.0506441i | \(0.0161274\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.170081 | + | 0.294590i | 0.0850407 | + | 0.147295i | ||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.40888 | − | 2.44026i | 0.532508 | − | 0.922330i | −0.466772 | − | 0.884378i | \(-0.654583\pi\) |
0.999280 | − | 0.0379524i | \(-0.0120835\pi\) | |||||||
\(8\) | 3.01494 | 1.06594 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.28835 | −0.407411 | ||||||||
\(11\) | −2.57577 | + | 4.46137i | −0.776625 | + | 1.34515i | 0.157252 | + | 0.987558i | \(0.449736\pi\) |
−0.933877 | + | 0.357595i | \(0.883597\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.500000 | − | 0.866025i | −0.138675 | − | 0.240192i | ||||
\(14\) | −1.81513 | − | 3.14390i | −0.485114 | − | 0.840242i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.60198 | − | 2.77471i | 0.400495 | − | 0.693678i | ||||
\(17\) | 6.95944 | 1.68791 | 0.843956 | − | 0.536413i | \(-0.180221\pi\) | ||||
0.843956 | + | 0.536413i | \(0.180221\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.29545 | 1.21486 | 0.607430 | − | 0.794373i | \(-0.292200\pi\) | ||||
0.607430 | + | 0.794373i | \(0.292200\pi\) | |||||||
\(20\) | 0.170081 | − | 0.294590i | 0.0380314 | − | 0.0658723i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.31849 | + | 5.74779i | 0.707504 | + | 1.22543i | ||||
\(23\) | 0.178608 | + | 0.309358i | 0.0372423 | + | 0.0645055i | 0.884046 | − | 0.467400i | \(-0.154809\pi\) |
−0.846803 | + | 0.531906i | \(0.821476\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −1.28835 | −0.252666 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.958499 | 0.181139 | ||||||||
\(29\) | −2.41921 | + | 4.19019i | −0.449235 | + | 0.778099i | −0.998336 | − | 0.0576574i | \(-0.981637\pi\) |
0.549101 | + | 0.835756i | \(0.314970\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.69084 | − | 6.39272i | −0.662894 | − | 1.14817i | −0.979852 | − | 0.199727i | \(-0.935994\pi\) |
0.316957 | − | 0.948440i | \(-0.397339\pi\) | |||||||
\(32\) | 0.951033 | + | 1.64724i | 0.168121 | + | 0.291193i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.48308 | − | 7.76493i | 0.768843 | − | 1.33167i | ||||
\(35\) | −2.81777 | −0.476289 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.70885 | 0.938530 | 0.469265 | − | 0.883058i | \(-0.344519\pi\) | ||||
0.469265 | + | 0.883058i | \(0.344519\pi\) | |||||||
\(38\) | 3.41119 | − | 5.90835i | 0.553368 | − | 0.958461i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.50747 | − | 2.61102i | −0.238352 | − | 0.412838i | ||||
\(41\) | −3.03414 | − | 5.25529i | −0.473854 | − | 0.820739i | 0.525698 | − | 0.850671i | \(-0.323804\pi\) |
−0.999552 | + | 0.0299323i | \(0.990471\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.89119 | − | 8.47179i | 0.745900 | − | 1.29194i | −0.203873 | − | 0.978997i | \(-0.565353\pi\) |
0.949773 | − | 0.312939i | \(-0.101314\pi\) | |||||||
\(44\) | −1.75236 | −0.264179 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.460217 | 0.0678553 | ||||||||
\(47\) | −3.06257 | + | 5.30452i | −0.446721 | + | 0.773744i | −0.998170 | − | 0.0604648i | \(-0.980742\pi\) |
0.551449 | + | 0.834208i | \(0.314075\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.469900 | − | 0.813891i | −0.0671286 | − | 0.116270i | ||||
\(50\) | 0.644173 | + | 1.11574i | 0.0910999 | + | 0.157790i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.170081 | − | 0.294590i | 0.0235861 | − | 0.0408522i | ||||
\(53\) | −3.26565 | −0.448572 | −0.224286 | − | 0.974523i | \(-0.572005\pi\) | ||||
−0.224286 | + | 0.974523i | \(0.572005\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.15154 | 0.694634 | ||||||||
\(56\) | 4.24770 | − | 7.35723i | 0.567623 | − | 0.983151i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.11678 | + | 5.39842i | 0.409253 | + | 0.708847i | ||||
\(59\) | 0.656449 | + | 1.13700i | 0.0854624 | + | 0.148025i | 0.905588 | − | 0.424158i | \(-0.139430\pi\) |
−0.820126 | + | 0.572183i | \(0.806097\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.58881 | − | 7.94805i | 0.587537 | − | 1.01764i | −0.407017 | − | 0.913421i | \(-0.633431\pi\) |
0.994554 | − | 0.104223i | \(-0.0332356\pi\) | |||||||
\(62\) | −9.51016 | −1.20779 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.85845 | 1.10731 | ||||||||
\(65\) | −0.500000 | + | 0.866025i | −0.0620174 | + | 0.107417i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.894026 | − | 1.54850i | −0.109223 | − | 0.189179i | 0.806233 | − | 0.591598i | \(-0.201503\pi\) |
−0.915456 | + | 0.402419i | \(0.868169\pi\) | |||||||
\(68\) | 1.18367 | + | 2.05018i | 0.143541 | + | 0.248621i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.81513 | + | 3.14390i | −0.216949 | + | 0.375767i | ||||
\(71\) | 4.91564 | 0.583379 | 0.291689 | − | 0.956513i | \(-0.405783\pi\) | ||||
0.291689 | + | 0.956513i | \(0.405783\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.67778 | 0.547493 | 0.273746 | − | 0.961802i | \(-0.411737\pi\) | ||||
0.273746 | + | 0.961802i | \(0.411737\pi\) | |||||||
\(74\) | 3.67749 | − | 6.36960i | 0.427500 | − | 0.740451i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.900658 | + | 1.55999i | 0.103313 | + | 0.178943i | ||||
\(77\) | 7.25792 | + | 12.5711i | 0.827117 | + | 1.43261i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.43554 | + | 7.68258i | −0.499037 | + | 0.864358i | −0.999999 | − | 0.00111120i | \(-0.999646\pi\) |
0.500962 | + | 0.865469i | \(0.332980\pi\) | |||||||
\(80\) | −3.20396 | −0.358214 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −7.81806 | −0.863360 | ||||||||
\(83\) | 7.47911 | − | 12.9542i | 0.820939 | − | 1.42191i | −0.0840448 | − | 0.996462i | \(-0.526784\pi\) |
0.904984 | − | 0.425446i | \(-0.139883\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.47972 | − | 6.02705i | −0.377429 | − | 0.653725i | ||||
\(86\) | −6.30155 | − | 10.9146i | −0.679514 | − | 1.17695i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −7.76580 | + | 13.4508i | −0.827837 | + | 1.43386i | ||||
\(89\) | −6.44960 | −0.683656 | −0.341828 | − | 0.939763i | \(-0.611046\pi\) | ||||
−0.341828 | + | 0.939763i | \(0.611046\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.81777 | −0.295382 | ||||||||
\(92\) | −0.0607557 | + | 0.105232i | −0.00633422 | + | 0.0109712i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.94565 | + | 6.83406i | 0.406962 | + | 0.704879i | ||||
\(95\) | −2.64773 | − | 4.58600i | −0.271651 | − | 0.470513i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.62800 | + | 9.74798i | −0.571437 | + | 0.989757i | 0.424982 | + | 0.905202i | \(0.360280\pi\) |
−0.996419 | + | 0.0845556i | \(0.973053\pi\) | |||||||
\(98\) | −1.21079 | −0.122308 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.340163 | −0.0340163 | ||||||||
\(101\) | 4.87922 | − | 8.45106i | 0.485501 | − | 0.840912i | −0.514361 | − | 0.857574i | \(-0.671971\pi\) |
0.999861 | + | 0.0166623i | \(0.00530402\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.96888 | − | 6.87431i | −0.391066 | − | 0.677345i | 0.601525 | − | 0.798854i | \(-0.294560\pi\) |
−0.992590 | + | 0.121509i | \(0.961227\pi\) | |||||||
\(104\) | −1.50747 | − | 2.61102i | −0.147820 | − | 0.256031i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.10365 | + | 3.64362i | −0.204324 | + | 0.353900i | ||||
\(107\) | −4.45095 | −0.430290 | −0.215145 | − | 0.976582i | \(-0.569022\pi\) | ||||
−0.215145 | + | 0.976582i | \(0.569022\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.58876 | −0.822654 | −0.411327 | − | 0.911488i | \(-0.634935\pi\) | ||||
−0.411327 | + | 0.911488i | \(0.634935\pi\) | |||||||
\(110\) | 3.31849 | − | 5.74779i | 0.316405 | − | 0.548030i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.51401 | − | 7.81849i | −0.426534 | − | 0.738778i | ||||
\(113\) | 9.61749 | + | 16.6580i | 0.904738 | + | 1.56705i | 0.821269 | + | 0.570541i | \(0.193267\pi\) |
0.0834690 | + | 0.996510i | \(0.473400\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.178608 | − | 0.309358i | 0.0166553 | − | 0.0288477i | ||||
\(116\) | −1.64585 | −0.152813 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.69147 | 0.155712 | ||||||||
\(119\) | 9.80503 | − | 16.9828i | 0.898826 | − | 1.55681i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.76921 | − | 13.4567i | −0.706291 | − | 1.22333i | ||||
\(122\) | −5.91198 | − | 10.2398i | −0.535245 | − | 0.927072i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.25549 | − | 2.17457i | 0.112746 | − | 0.195282i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.98997 | 0.708995 | 0.354497 | − | 0.935057i | \(-0.384652\pi\) | ||||
0.354497 | + | 0.935057i | \(0.384652\pi\) | |||||||
\(128\) | 3.80431 | − | 6.58926i | 0.336257 | − | 0.582414i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.644173 | + | 1.11574i | 0.0564977 | + | 0.0978570i | ||||
\(131\) | −1.73503 | − | 3.00516i | −0.151590 | − | 0.262562i | 0.780222 | − | 0.625503i | \(-0.215106\pi\) |
−0.931812 | + | 0.362941i | \(0.881773\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.46067 | − | 12.9223i | 0.646922 | − | 1.12050i | ||||
\(134\) | −2.30363 | −0.199003 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 20.9823 | 1.79922 | ||||||||
\(137\) | 2.87915 | − | 4.98683i | 0.245982 | − | 0.426054i | −0.716425 | − | 0.697664i | \(-0.754223\pi\) |
0.962407 | + | 0.271610i | \(0.0875562\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.79217 | + | 6.56823i | 0.321647 | + | 0.557110i | 0.980828 | − | 0.194875i | \(-0.0624301\pi\) |
−0.659181 | + | 0.751985i | \(0.729097\pi\) | |||||||
\(140\) | −0.479250 | − | 0.830085i | −0.0405040 | − | 0.0701550i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.16652 | − | 5.48458i | 0.265729 | − | 0.460256i | ||||
\(143\) | 5.15154 | 0.430794 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.83841 | 0.401808 | ||||||||
\(146\) | 3.01330 | − | 5.21919i | 0.249383 | − | 0.431943i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.970970 | + | 1.68177i | 0.0798132 | + | 0.138241i | ||||
\(149\) | 3.00953 | + | 5.21267i | 0.246551 | + | 0.427038i | 0.962566 | − | 0.271046i | \(-0.0873695\pi\) |
−0.716016 | + | 0.698084i | \(0.754036\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.91595 | + | 8.51467i | −0.400054 | + | 0.692914i | −0.993732 | − | 0.111789i | \(-0.964342\pi\) |
0.593678 | + | 0.804703i | \(0.297675\pi\) | |||||||
\(152\) | 15.9655 | 1.29497 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 18.7014 | 1.50700 | ||||||||
\(155\) | −3.69084 | + | 6.39272i | −0.296455 | + | 0.513476i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.25443 | + | 2.17274i | 0.100115 | + | 0.173403i | 0.911732 | − | 0.410786i | \(-0.134746\pi\) |
−0.811617 | + | 0.584190i | \(0.801412\pi\) | |||||||
\(158\) | 5.71451 | + | 9.89783i | 0.454622 | + | 0.787429i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.951033 | − | 1.64724i | 0.0751858 | − | 0.130226i | ||||
\(161\) | 1.00655 | 0.0793272 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −19.8235 | −1.55269 | −0.776347 | − | 0.630306i | \(-0.782929\pi\) | ||||
−0.776347 | + | 0.630306i | \(0.782929\pi\) | |||||||
\(164\) | 1.03210 | − | 1.78766i | 0.0805938 | − | 0.139592i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −9.63569 | − | 16.6895i | −0.747874 | − | 1.29536i | ||||
\(167\) | −11.8886 | − | 20.5916i | −0.919964 | − | 1.59342i | −0.799467 | − | 0.600710i | \(-0.794885\pi\) |
−0.120497 | − | 0.992714i | \(-0.538449\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.500000 | + | 0.866025i | −0.0384615 | + | 0.0666173i | ||||
\(170\) | −8.96617 | −0.687674 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.32760 | 0.253727 | ||||||||
\(173\) | −2.89292 | + | 5.01068i | −0.219944 | + | 0.380955i | −0.954791 | − | 0.297279i | \(-0.903921\pi\) |
0.734846 | + | 0.678234i | \(0.237254\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.40888 | + | 2.44026i | 0.106502 | + | 0.184466i | ||||
\(176\) | 8.25268 | + | 14.2941i | 0.622069 | + | 1.07746i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −4.15466 | + | 7.19608i | −0.311405 | + | 0.539369i | ||||
\(179\) | 20.1982 | 1.50969 | 0.754844 | − | 0.655905i | \(-0.227713\pi\) | ||||
0.754844 | + | 0.655905i | \(0.227713\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.0801 | −0.749249 | −0.374625 | − | 0.927177i | \(-0.622228\pi\) | ||||
−0.374625 | + | 0.927177i | \(0.622228\pi\) | |||||||
\(182\) | −1.81513 | + | 3.14390i | −0.134546 | + | 0.233041i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.538492 | + | 0.932695i | 0.0396981 | + | 0.0687592i | ||||
\(185\) | −2.85443 | − | 4.94401i | −0.209862 | − | 0.363491i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −17.9259 | + | 31.0486i | −1.31087 | + | 2.27050i | ||||
\(188\) | −2.08354 | −0.151958 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.82238 | −0.494947 | ||||||||
\(191\) | −9.12892 | + | 15.8118i | −0.660545 | + | 1.14410i | 0.319927 | + | 0.947442i | \(0.396342\pi\) |
−0.980473 | + | 0.196656i | \(0.936992\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.08415 | + | 1.87780i | 0.0780388 | + | 0.135167i | 0.902404 | − | 0.430892i | \(-0.141801\pi\) |
−0.824365 | + | 0.566059i | \(0.808468\pi\) | |||||||
\(194\) | 7.25081 | + | 12.5588i | 0.520578 | + | 0.901668i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.159843 | − | 0.276856i | 0.0114173 | − | 0.0197754i | ||||
\(197\) | −14.9589 | −1.06578 | −0.532890 | − | 0.846185i | \(-0.678894\pi\) | ||||
−0.532890 | + | 0.846185i | \(0.678894\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.81279 | 0.341170 | 0.170585 | − | 0.985343i | \(-0.445434\pi\) | ||||
0.170585 | + | 0.985343i | \(0.445434\pi\) | |||||||
\(200\) | −1.50747 | + | 2.61102i | −0.106594 | + | 0.184627i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.28613 | − | 10.8879i | −0.442290 | − | 0.766069i | ||||
\(203\) | 6.81676 | + | 11.8070i | 0.478443 | + | 0.828687i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.03414 | + | 5.25529i | −0.211914 | + | 0.367046i | ||||
\(206\) | −10.2266 | −0.712520 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.20396 | −0.222155 | ||||||||
\(209\) | −13.6399 | + | 23.6250i | −0.943490 | + | 1.63417i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.80298 | − | 8.31901i | −0.330651 | − | 0.572704i | 0.651989 | − | 0.758229i | \(-0.273935\pi\) |
−0.982640 | + | 0.185524i | \(0.940602\pi\) | |||||||
\(212\) | −0.555427 | − | 0.962028i | −0.0381469 | − | 0.0660724i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.86718 | + | 4.96611i | −0.195997 | + | 0.339476i | ||||
\(215\) | −9.78238 | −0.667153 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −20.7998 | −1.41199 | ||||||||
\(218\) | −5.53265 | + | 9.58283i | −0.374718 | + | 0.649031i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.876182 | + | 1.51759i | 0.0590722 | + | 0.102316i | ||||
\(221\) | −3.47972 | − | 6.02705i | −0.234071 | − | 0.405423i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.17548 | − | 5.50009i | 0.212646 | − | 0.368313i | −0.739896 | − | 0.672721i | \(-0.765125\pi\) |
0.952542 | + | 0.304408i | \(0.0984587\pi\) | |||||||
\(224\) | 5.35958 | 0.358102 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 24.7813 | 1.64843 | ||||||||
\(227\) | 2.84962 | − | 4.93569i | 0.189136 | − | 0.327593i | −0.755826 | − | 0.654772i | \(-0.772765\pi\) |
0.944962 | + | 0.327179i | \(0.106098\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 10.9728 | + | 19.0054i | 0.725102 | + | 1.25591i | 0.958932 | + | 0.283636i | \(0.0915407\pi\) |
−0.233830 | + | 0.972277i | \(0.575126\pi\) | |||||||
\(230\) | −0.230109 | − | 0.398560i | −0.0151729 | − | 0.0262803i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −7.29377 | + | 12.6332i | −0.478859 | + | 0.829408i | ||||
\(233\) | −25.7672 | −1.68806 | −0.844031 | − | 0.536294i | \(-0.819824\pi\) | ||||
−0.844031 | + | 0.536294i | \(0.819824\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.12513 | 0.399560 | ||||||||
\(236\) | −0.223300 | + | 0.386766i | −0.0145356 | + | 0.0251763i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −12.6323 | − | 21.8797i | −0.818829 | − | 1.41825i | ||||
\(239\) | −2.97550 | − | 5.15372i | −0.192469 | − | 0.333366i | 0.753599 | − | 0.657335i | \(-0.228316\pi\) |
−0.946068 | + | 0.323968i | \(0.894983\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.6495 | + | 20.1774i | −0.750407 | + | 1.29974i | 0.197218 | + | 0.980360i | \(0.436809\pi\) |
−0.947625 | + | 0.319384i | \(0.896524\pi\) | |||||||
\(242\) | −20.0189 | −1.28686 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 3.12189 | 0.199858 | ||||||||
\(245\) | −0.469900 | + | 0.813891i | −0.0300208 | + | 0.0519976i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.64773 | − | 4.58600i | −0.168471 | − | 0.291800i | ||||
\(248\) | −11.1277 | − | 19.2737i | −0.706607 | − | 1.22388i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.644173 | − | 1.11574i | 0.0407411 | − | 0.0705657i | ||||
\(251\) | −16.6483 | −1.05083 | −0.525417 | − | 0.850845i | \(-0.676091\pi\) | ||||
−0.525417 | + | 0.850845i | \(0.676091\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.84021 | −0.115693 | ||||||||
\(254\) | 5.14692 | − | 8.91473i | 0.322947 | − | 0.559360i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.95718 | + | 6.85404i | 0.247324 | + | 0.428377i | ||||
\(257\) | −3.29768 | − | 5.71175i | −0.205704 | − | 0.356289i | 0.744653 | − | 0.667452i | \(-0.232615\pi\) |
−0.950357 | + | 0.311163i | \(0.899282\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 8.04310 | − | 13.9311i | 0.499774 | − | 0.865634i | ||||
\(260\) | −0.340163 | −0.0210960 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.47064 | −0.276197 | ||||||||
\(263\) | −8.83438 | + | 15.3016i | −0.544751 | + | 0.943536i | 0.453872 | + | 0.891067i | \(0.350042\pi\) |
−0.998623 | + | 0.0524693i | \(0.983291\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.63283 | + | 2.82814i | 0.100304 | + | 0.173731i | ||||
\(266\) | −9.61193 | − | 16.6484i | −0.589345 | − | 1.02078i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.304115 | − | 0.526742i | 0.0185768 | − | 0.0321759i | ||||
\(269\) | 6.09803 | 0.371804 | 0.185902 | − | 0.982568i | \(-0.440479\pi\) | ||||
0.185902 | + | 0.982568i | \(0.440479\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −19.9160 | −1.20981 | −0.604906 | − | 0.796297i | \(-0.706789\pi\) | ||||
−0.604906 | + | 0.796297i | \(0.706789\pi\) | |||||||
\(272\) | 11.1489 | − | 19.3104i | 0.676001 | − | 1.17087i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.70934 | − | 6.42477i | −0.224090 | − | 0.388134i | ||||
\(275\) | −2.57577 | − | 4.46137i | −0.155325 | − | 0.269031i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −16.1804 | + | 28.0254i | −0.972189 | + | 1.68388i | −0.283272 | + | 0.959040i | \(0.591420\pi\) |
−0.688916 | + | 0.724841i | \(0.741913\pi\) | |||||||
\(278\) | 9.77125 | 0.586041 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −8.49540 | −0.507697 | ||||||||
\(281\) | −16.0058 | + | 27.7228i | −0.954825 | + | 1.65381i | −0.220057 | + | 0.975487i | \(0.570624\pi\) |
−0.734768 | + | 0.678319i | \(0.762709\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.4870 | + | 25.0921i | 0.861160 | + | 1.49157i | 0.870810 | + | 0.491620i | \(0.163595\pi\) |
−0.00965008 | + | 0.999953i | \(0.503072\pi\) | |||||||
\(284\) | 0.836059 | + | 1.44810i | 0.0496110 | + | 0.0859287i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.31849 | − | 5.74779i | 0.196226 | − | 0.339874i | ||||
\(287\) | −17.0990 | −1.00932 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 31.4338 | 1.84905 | ||||||||
\(290\) | 3.11678 | − | 5.39842i | 0.183023 | − | 0.317006i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.795603 | + | 1.37803i | 0.0465592 | + | 0.0806429i | ||||
\(293\) | 2.02909 | + | 3.51448i | 0.118541 | + | 0.205318i | 0.919190 | − | 0.393815i | \(-0.128845\pi\) |
−0.800649 | + | 0.599134i | \(0.795512\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.656449 | − | 1.13700i | 0.0382199 | − | 0.0661989i | ||||
\(296\) | 17.2119 | 1.00042 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 7.75465 | 0.449215 | ||||||||
\(299\) | 0.178608 | − | 0.309358i | 0.0103292 | − | 0.0178906i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −13.7822 | − | 23.8715i | −0.794395 | − | 1.37593i | ||||
\(302\) | 6.33345 | + | 10.9698i | 0.364449 | + | 0.631244i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 8.48322 | − | 14.6934i | 0.486546 | − | 0.842722i | ||||
\(305\) | −9.17762 | −0.525509 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 10.2358 | 0.584185 | 0.292093 | − | 0.956390i | \(-0.405648\pi\) | ||||
0.292093 | + | 0.956390i | \(0.405648\pi\) | |||||||
\(308\) | −2.46888 | + | 4.27622i | −0.140677 | + | 0.243660i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.75508 | + | 8.23604i | 0.270070 | + | 0.467776i | ||||
\(311\) | 11.1128 | + | 19.2479i | 0.630149 | + | 1.09145i | 0.987521 | + | 0.157488i | \(0.0503397\pi\) |
−0.357372 | + | 0.933962i | \(0.616327\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.81602 | − | 8.34160i | 0.272218 | − | 0.471495i | −0.697212 | − | 0.716865i | \(-0.745576\pi\) |
0.969429 | + | 0.245370i | \(0.0789096\pi\) | |||||||
\(314\) | 3.23228 | 0.182408 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.01761 | −0.169754 | ||||||||
\(317\) | 15.3523 | − | 26.5910i | 0.862273 | − | 1.49350i | −0.00745758 | − | 0.999972i | \(-0.502374\pi\) |
0.869730 | − | 0.493528i | \(-0.164293\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −12.4627 | − | 21.5859i | −0.697775 | − | 1.20858i | ||||
\(320\) | −4.42922 | − | 7.67164i | −0.247601 | − | 0.428858i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.648392 | − | 1.12305i | 0.0361335 | − | 0.0625850i | ||||
\(323\) | 36.8534 | 2.05058 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.00000 | 0.0554700 | ||||||||
\(326\) | −12.7697 | + | 22.1179i | −0.707251 | + | 1.22499i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −9.14777 | − | 15.8444i | −0.505101 | − | 0.874861i | ||||
\(329\) | 8.62959 | + | 14.9469i | 0.475765 | + | 0.824049i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.75825 | − | 3.04538i | 0.0966424 | − | 0.167389i | −0.813651 | − | 0.581354i | \(-0.802523\pi\) |
0.910293 | + | 0.413965i | \(0.135856\pi\) | |||||||
\(332\) | 5.08823 | 0.279253 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −30.6331 | −1.67617 | ||||||||
\(335\) | −0.894026 | + | 1.54850i | −0.0488459 | + | 0.0846035i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.81302 | + | 16.9967i | 0.534549 | + | 0.925867i | 0.999185 | + | 0.0403646i | \(0.0128520\pi\) |
−0.464636 | + | 0.885502i | \(0.653815\pi\) | |||||||
\(338\) | 0.644173 | + | 1.11574i | 0.0350384 | + | 0.0606883i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.18367 | − | 2.05018i | 0.0641936 | − | 0.111187i | ||||
\(341\) | 38.0271 | 2.05928 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.0762 | 0.922029 | ||||||||
\(344\) | 14.7467 | − | 25.5420i | 0.795086 | − | 1.37713i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.72708 | + | 6.45549i | 0.200369 | + | 0.347049i | ||||
\(347\) | 12.6960 | + | 21.9902i | 0.681559 | + | 1.18049i | 0.974505 | + | 0.224366i | \(0.0720310\pi\) |
−0.292946 | + | 0.956129i | \(0.594636\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 6.09864 | − | 10.5632i | 0.326453 | − | 0.565433i | −0.655352 | − | 0.755323i | \(-0.727480\pi\) |
0.981805 | + | 0.189890i | \(0.0608132\pi\) | |||||||
\(350\) | 3.63026 | 0.194045 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −9.79858 | −0.522266 | ||||||||
\(353\) | −8.97537 | + | 15.5458i | −0.477711 | + | 0.827419i | −0.999674 | − | 0.0255491i | \(-0.991867\pi\) |
0.521963 | + | 0.852968i | \(0.325200\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.45782 | − | 4.25707i | −0.130447 | − | 0.225942i | ||||
\(356\) | −1.09696 | − | 1.89999i | −0.0581386 | − | 0.100699i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 13.0112 | − | 22.5360i | 0.687662 | − | 1.19106i | ||||
\(359\) | −20.1656 | −1.06430 | −0.532149 | − | 0.846651i | \(-0.678615\pi\) | ||||
−0.532149 | + | 0.846651i | \(0.678615\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.04182 | 0.475885 | ||||||||
\(362\) | −6.49334 | + | 11.2468i | −0.341283 | + | 0.591119i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.479250 | − | 0.830085i | −0.0251195 | − | 0.0435083i | ||||
\(365\) | −2.33889 | − | 4.05108i | −0.122423 | − | 0.212043i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −14.9418 | + | 25.8799i | −0.779953 | + | 1.35092i | 0.152015 | + | 0.988378i | \(0.451424\pi\) |
−0.931968 | + | 0.362540i | \(0.881910\pi\) | |||||||
\(368\) | 1.14451 | 0.0596615 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −7.35498 | −0.382367 | ||||||||
\(371\) | −4.60092 | + | 7.96903i | −0.238868 | + | 0.413732i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.82808 | + | 3.16632i | 0.0946542 | + | 0.163946i | 0.909464 | − | 0.415782i | \(-0.136492\pi\) |
−0.814810 | + | 0.579728i | \(0.803159\pi\) | |||||||
\(374\) | 23.0948 | + | 40.0014i | 1.19420 | + | 2.06842i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −9.23346 | + | 15.9928i | −0.476179 | + | 0.824766i | ||||
\(377\) | 4.83841 | 0.249191 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 24.0635 | 1.23606 | 0.618028 | − | 0.786156i | \(-0.287932\pi\) | ||||
0.618028 | + | 0.786156i | \(0.287932\pi\) | |||||||
\(380\) | 0.900658 | − | 1.55999i | 0.0462028 | − | 0.0800256i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 11.7612 | + | 20.3710i | 0.601756 | + | 1.04227i | ||||
\(383\) | −14.8405 | − | 25.7045i | −0.758314 | − | 1.31344i | −0.943710 | − | 0.330775i | \(-0.892690\pi\) |
0.185396 | − | 0.982664i | \(-0.440643\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 7.25792 | − | 12.5711i | 0.369898 | − | 0.640682i | ||||
\(386\) | 2.79352 | 0.142187 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.82887 | −0.194382 | ||||||||
\(389\) | 2.84354 | − | 4.92516i | 0.144173 | − | 0.249715i | −0.784891 | − | 0.619634i | \(-0.787281\pi\) |
0.929064 | + | 0.369919i | \(0.120614\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.24301 | + | 2.15296i | 0.0628617 | + | 0.108880i | ||||
\(392\) | −1.41672 | − | 2.45383i | −0.0715552 | − | 0.123937i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −9.63614 | + | 16.6903i | −0.485462 | + | 0.840845i | ||||
\(395\) | 8.87108 | 0.446353 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.64080 | −0.0823496 | −0.0411748 | − | 0.999152i | \(-0.513110\pi\) | ||||
−0.0411748 | + | 0.999152i | \(0.513110\pi\) | |||||||
\(398\) | 3.10027 | − | 5.36983i | 0.155403 | − | 0.269165i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.60198 | + | 2.77471i | 0.0800991 | + | 0.138736i | ||||
\(401\) | −6.65233 | − | 11.5222i | −0.332201 | − | 0.575390i | 0.650742 | − | 0.759299i | \(-0.274458\pi\) |
−0.982943 | + | 0.183909i | \(0.941125\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.69084 | + | 6.39272i | −0.183854 | + | 0.318444i | ||||
\(404\) | 3.31946 | 0.165149 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 17.5647 | 0.871721 | ||||||||
\(407\) | −14.7047 | + | 25.4693i | −0.728885 | + | 1.26247i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.27938 | − | 9.14416i | −0.261049 | − | 0.452150i | 0.705472 | − | 0.708738i | \(-0.250735\pi\) |
−0.966521 | + | 0.256588i | \(0.917402\pi\) | |||||||
\(410\) | 3.90903 | + | 6.77064i | 0.193053 | + | 0.334378i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1.35007 | − | 2.33838i | 0.0665130 | − | 0.115204i | ||||
\(413\) | 3.69944 | 0.182037 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −14.9582 | −0.734270 | ||||||||
\(416\) | 0.951033 | − | 1.64724i | 0.0466282 | − | 0.0807625i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 17.5729 | + | 30.4371i | 0.859518 | + | 1.48873i | ||||
\(419\) | 10.2745 | + | 17.7960i | 0.501944 | + | 0.869393i | 0.999997 | + | 0.00224654i | \(0.000715097\pi\) |
−0.498053 | + | 0.867146i | \(0.665952\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 18.1358 | − | 31.4121i | 0.883885 | − | 1.53093i | 0.0368980 | − | 0.999319i | \(-0.488252\pi\) |
0.846987 | − | 0.531614i | \(-0.178414\pi\) | |||||||
\(422\) | −12.3758 | −0.602445 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −9.84576 | −0.478152 | ||||||||
\(425\) | −3.47972 | + | 6.02705i | −0.168791 | + | 0.292355i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −12.9302 | − | 22.3957i | −0.625736 | − | 1.08381i | ||||
\(428\) | −0.757024 | − | 1.31120i | −0.0365921 | − | 0.0633794i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −6.30155 | + | 10.9146i | −0.303888 | + | 0.526349i | ||||
\(431\) | −15.4318 | −0.743323 | −0.371661 | − | 0.928368i | \(-0.621212\pi\) | ||||
−0.371661 | + | 0.928368i | \(0.621212\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −23.3484 | −1.12205 | −0.561027 | − | 0.827797i | \(-0.689594\pi\) | ||||
−0.561027 | + | 0.827797i | \(0.689594\pi\) | |||||||
\(434\) | −13.3987 | + | 23.2072i | −0.643158 | + | 1.11398i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.46079 | − | 2.53016i | −0.0699591 | − | 0.121173i | ||||
\(437\) | 0.945809 | + | 1.63819i | 0.0452442 | + | 0.0783652i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −6.22486 | + | 10.7818i | −0.297096 | + | 0.514586i | −0.975470 | − | 0.220131i | \(-0.929352\pi\) |
0.678374 | + | 0.734717i | \(0.262685\pi\) | |||||||
\(440\) | 15.5316 | 0.740440 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −8.96617 | −0.426477 | ||||||||
\(443\) | −3.63184 | + | 6.29053i | −0.172554 | + | 0.298872i | −0.939312 | − | 0.343064i | \(-0.888535\pi\) |
0.766758 | + | 0.641936i | \(0.221869\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.22480 | + | 5.58552i | 0.152870 | + | 0.264779i | ||||
\(446\) | −4.09111 | − | 7.08602i | −0.193720 | − | 0.335533i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 12.4805 | − | 21.6169i | 0.589649 | − | 1.02130i | ||||
\(449\) | 14.7385 | 0.695555 | 0.347777 | − | 0.937577i | \(-0.386936\pi\) | ||||
0.347777 | + | 0.937577i | \(0.386936\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 31.2611 | 1.47203 | ||||||||
\(452\) | −3.27152 | + | 5.66643i | −0.153879 | + | 0.266526i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −3.67130 | − | 6.35888i | −0.172303 | − | 0.298437i | ||||
\(455\) | 1.40888 | + | 2.44026i | 0.0660494 | + | 0.114401i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.70139 | + | 6.41099i | −0.173143 | + | 0.299893i | −0.939517 | − | 0.342502i | \(-0.888726\pi\) |
0.766374 | + | 0.642395i | \(0.222059\pi\) | |||||||
\(458\) | 28.2735 | 1.32113 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.121511 | 0.00566550 | ||||||||
\(461\) | −1.52205 | + | 2.63626i | −0.0708888 | + | 0.122783i | −0.899291 | − | 0.437351i | \(-0.855917\pi\) |
0.828402 | + | 0.560134i | \(0.189250\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.99042 | − | 12.1078i | −0.324872 | − | 0.562695i | 0.656614 | − | 0.754227i | \(-0.271988\pi\) |
−0.981487 | + | 0.191531i | \(0.938655\pi\) | |||||||
\(464\) | 7.75105 | + | 13.4252i | 0.359833 | + | 0.623250i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −16.5985 | + | 28.7495i | −0.768911 | + | 1.33179i | ||||
\(467\) | −30.6445 | −1.41806 | −0.709030 | − | 0.705178i | \(-0.750867\pi\) | ||||
−0.709030 | + | 0.705178i | \(0.750867\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −5.03831 | −0.232648 | ||||||||
\(470\) | 3.94565 | − | 6.83406i | 0.181999 | − | 0.315232i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.97915 | + | 3.42800i | 0.0910980 | + | 0.157786i | ||||
\(473\) | 25.1972 | + | 43.6428i | 1.15857 | + | 2.00670i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.64773 | + | 4.58600i | −0.121486 | + | 0.210420i | ||||
\(476\) | 6.67062 | 0.305747 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −7.66695 | −0.350678 | ||||||||
\(479\) | −1.48202 | + | 2.56693i | −0.0677152 | + | 0.117286i | −0.897895 | − | 0.440209i | \(-0.854904\pi\) |
0.830180 | + | 0.557495i | \(0.188238\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.85443 | − | 4.94401i | −0.130151 | − | 0.225428i | ||||
\(482\) | 15.0085 | + | 25.9955i | 0.683620 | + | 1.18406i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 2.64280 | − | 4.57746i | 0.120127 | − | 0.208066i | ||||
\(485\) | 11.2560 | 0.511109 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −17.5341 | −0.794546 | −0.397273 | − | 0.917700i | \(-0.630043\pi\) | ||||
−0.397273 | + | 0.917700i | \(0.630043\pi\) | |||||||
\(488\) | 13.8350 | − | 23.9629i | 0.626281 | − | 1.08475i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.605394 | + | 1.04857i | 0.0273489 | + | 0.0473697i | ||||
\(491\) | −10.5572 | − | 18.2856i | −0.476439 | − | 0.825216i | 0.523197 | − | 0.852212i | \(-0.324739\pi\) |
−0.999636 | + | 0.0269956i | \(0.991406\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −16.8363 | + | 29.1614i | −0.758270 | + | 1.31336i | ||||
\(494\) | −6.82238 | −0.306953 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −23.6506 | −1.06194 | ||||||||
\(497\) | 6.92556 | − | 11.9954i | 0.310654 | − | 0.538068i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −16.5523 | − | 28.6694i | −0.740981 | − | 1.28342i | −0.952049 | − | 0.305945i | \(-0.901028\pi\) |
0.211068 | − | 0.977471i | \(-0.432306\pi\) | |||||||
\(500\) | 0.170081 | + | 0.294590i | 0.00760627 | + | 0.0131745i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −10.7244 | + | 18.5752i | −0.478654 | + | 0.829053i | ||||
\(503\) | −20.4002 | −0.909601 | −0.454800 | − | 0.890593i | \(-0.650289\pi\) | ||||
−0.454800 | + | 0.890593i | \(0.650289\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −9.75844 | −0.434245 | ||||||||
\(506\) | −1.18541 | + | 2.05320i | −0.0526981 | + | 0.0912758i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.35895 | + | 2.35376i | 0.0602934 | + | 0.104431i | ||||
\(509\) | −15.9675 | − | 27.6564i | −0.707745 | − | 1.22585i | −0.965692 | − | 0.259691i | \(-0.916379\pi\) |
0.257947 | − | 0.966159i | \(-0.416954\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.59044 | − | 11.4150i | 0.291544 | − | 0.504969i | ||||
\(512\) | 25.4137 | 1.12314 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −8.49711 | −0.374791 | ||||||||
\(515\) | −3.96888 | + | 6.87431i | −0.174890 | + | 0.302918i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −15.7769 | − | 27.3265i | −0.693869 | − | 1.20182i | ||||
\(518\) | −10.3623 | − | 17.9480i | −0.455294 | − | 0.788591i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.50747 | + | 2.61102i | −0.0661070 | + | 0.114501i | ||||
\(521\) | 20.4121 | 0.894270 | 0.447135 | − | 0.894467i | \(-0.352444\pi\) | ||||
0.447135 | + | 0.894467i | \(0.352444\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 16.5405 | 0.723264 | 0.361632 | − | 0.932321i | \(-0.382220\pi\) | ||||
0.361632 | + | 0.932321i | \(0.382220\pi\) | |||||||
\(524\) | 0.590193 | − | 1.02224i | 0.0257827 | − | 0.0446570i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 11.3817 | + | 19.7138i | 0.496267 | + | 0.859560i | ||||
\(527\) | −25.6862 | − | 44.4898i | −1.11891 | − | 1.93800i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.4362 | − | 19.8081i | 0.497226 | − | 0.861221i | ||||
\(530\) | 4.20729 | 0.182753 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 5.07569 | 0.220059 | ||||||||
\(533\) | −3.03414 | + | 5.25529i | −0.131423 | + | 0.227632i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.22547 | + | 3.85464i | 0.0962157 | + | 0.166650i | ||||
\(536\) | −2.69544 | − | 4.66863i | −0.116425 | − | 0.201654i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 3.92819 | − | 6.80382i | 0.169356 | − | 0.293334i | ||||
\(539\) | 4.84142 | 0.208535 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 13.3791 | 0.575211 | 0.287606 | − | 0.957749i | \(-0.407141\pi\) | ||||
0.287606 | + | 0.957749i | \(0.407141\pi\) | |||||||
\(542\) | −12.8294 | + | 22.2211i | −0.551069 | + | 0.954479i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 6.61866 | + | 11.4639i | 0.283773 | + | 0.491509i | ||||
\(545\) | 4.29438 | + | 7.43809i | 0.183951 | + | 0.318613i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −13.9133 | + | 24.0986i | −0.594892 | + | 1.03038i | 0.398671 | + | 0.917094i | \(0.369472\pi\) |
−0.993562 | + | 0.113288i | \(0.963862\pi\) | |||||||
\(548\) | 1.95876 | 0.0836741 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −6.63698 | −0.283002 | ||||||||
\(551\) | −12.8108 | + | 22.1889i | −0.545758 | + | 0.945281i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 12.4983 | + | 21.6477i | 0.531482 | + | 0.920554i | ||||
\(554\) | 20.8460 | + | 36.1064i | 0.885663 | + | 1.53401i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.28995 | + | 2.23427i | −0.0547063 | + | 0.0947540i | ||||
\(557\) | 6.61513 | 0.280292 | 0.140146 | − | 0.990131i | \(-0.455243\pi\) | ||||
0.140146 | + | 0.990131i | \(0.455243\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −9.78238 | −0.413751 | ||||||||
\(560\) | −4.51401 | + | 7.81849i | −0.190752 | + | 0.330392i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 20.6210 | + | 35.7166i | 0.869844 | + | 1.50661i | ||||
\(563\) | 8.40891 | + | 14.5647i | 0.354393 | + | 0.613827i | 0.987014 | − | 0.160634i | \(-0.0513540\pi\) |
−0.632621 | + | 0.774462i | \(0.718021\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 9.61749 | − | 16.6580i | 0.404611 | − | 0.700807i | ||||
\(566\) | 37.3284 | 1.56903 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 14.8204 | 0.621848 | ||||||||
\(569\) | −14.8185 | + | 25.6664i | −0.621223 | + | 1.07599i | 0.368035 | + | 0.929812i | \(0.380031\pi\) |
−0.989258 | + | 0.146178i | \(0.953303\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −12.4637 | − | 21.5878i | −0.521590 | − | 0.903421i | −0.999685 | − | 0.0251123i | \(-0.992006\pi\) |
0.478094 | − | 0.878308i | \(-0.341328\pi\) | |||||||
\(572\) | 0.876182 | + | 1.51759i | 0.0366350 | + | 0.0634537i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −11.0147 | + | 19.0781i | −0.459746 | + | 0.796303i | ||||
\(575\) | −0.357215 | −0.0148969 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 25.6134 | 1.06630 | 0.533151 | − | 0.846020i | \(-0.321008\pi\) | ||||
0.533151 | + | 0.846020i | \(0.321008\pi\) | |||||||
\(578\) | 20.2488 | − | 35.0720i | 0.842239 | − | 1.45880i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.822924 | + | 1.42535i | 0.0341701 | + | 0.0591843i | ||||
\(581\) | −21.0744 | − | 36.5019i | −0.874312 | − | 1.51435i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.41158 | − | 14.5693i | 0.348372 | − | 0.603398i | ||||
\(584\) | 14.1032 | 0.583596 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 5.22834 | 0.215981 | ||||||||
\(587\) | 13.1566 | − | 22.7878i | 0.543029 | − | 0.940554i | −0.455699 | − | 0.890134i | \(-0.650611\pi\) |
0.998728 | − | 0.0504202i | \(-0.0160561\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −19.5447 | − | 33.8524i | −0.805324 | − | 1.39486i | ||||
\(590\) | −0.845734 | − | 1.46485i | −0.0348183 | − | 0.0603071i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 9.14548 | − | 15.8404i | 0.375877 | − | 0.651038i | ||||
\(593\) | 28.9470 | 1.18871 | 0.594356 | − | 0.804202i | \(-0.297407\pi\) | ||||
0.594356 | + | 0.804202i | \(0.297407\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −19.6101 | −0.803934 | ||||||||
\(596\) | −1.02373 | + | 1.77316i | −0.0419337 | + | 0.0726313i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.230109 | − | 0.398560i | −0.00940984 | − | 0.0162983i | ||||
\(599\) | −17.8935 | − | 30.9925i | −0.731110 | − | 1.26632i | −0.956409 | − | 0.292031i | \(-0.905669\pi\) |
0.225299 | − | 0.974290i | \(-0.427664\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −23.1849 | + | 40.1574i | −0.945731 | + | 1.63805i | −0.191450 | + | 0.981502i | \(0.561319\pi\) |
−0.754281 | + | 0.656552i | \(0.772014\pi\) | |||||||
\(602\) | −35.5126 | −1.44738 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.34445 | −0.136084 | ||||||||
\(605\) | −7.76921 | + | 13.4567i | −0.315863 | + | 0.547091i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −1.97001 | − | 3.41216i | −0.0799603 | − | 0.138495i | 0.823272 | − | 0.567647i | \(-0.192146\pi\) |
−0.903233 | + | 0.429151i | \(0.858813\pi\) | |||||||
\(608\) | 5.03615 | + | 8.72287i | 0.204243 | + | 0.353759i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −5.91198 | + | 10.2398i | −0.239369 | + | 0.414599i | ||||
\(611\) | 6.12513 | 0.247796 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −36.4623 | −1.47270 | −0.736349 | − | 0.676602i | \(-0.763452\pi\) | ||||
−0.736349 | + | 0.676602i | \(0.763452\pi\) | |||||||
\(614\) | 6.59360 | − | 11.4205i | 0.266096 | − | 0.460892i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 21.8822 | + | 37.9011i | 0.881659 | + | 1.52708i | ||||
\(617\) | 6.07505 | + | 10.5223i | 0.244572 | + | 0.423612i | 0.962011 | − | 0.273010i | \(-0.0880191\pi\) |
−0.717439 | + | 0.696621i | \(0.754686\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.37235 | + | 7.57314i | −0.175740 | + | 0.304390i | −0.940417 | − | 0.340023i | \(-0.889565\pi\) |
0.764677 | + | 0.644413i | \(0.222898\pi\) | |||||||
\(620\) | −2.51097 | −0.100843 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 28.6343 | 1.14813 | ||||||||
\(623\) | −9.08673 | + | 15.7387i | −0.364052 | + | 0.630557i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −6.20471 | − | 10.7469i | −0.247990 | − | 0.429531i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.426711 | + | 0.739085i | −0.0170276 | + | 0.0294927i | ||||
\(629\) | 39.7304 | 1.58415 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.53562 | 0.339798 | 0.169899 | − | 0.985462i | \(-0.445656\pi\) | ||||
0.169899 | + | 0.985462i | \(0.445656\pi\) | |||||||
\(632\) | −13.3729 | + | 23.1625i | −0.531945 | + | 0.921356i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −19.7791 | − | 34.2584i | −0.785529 | − | 1.36058i | ||||
\(635\) | −3.99498 | − | 6.91951i | −0.158536 | − | 0.274592i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.469900 | + | 0.813891i | −0.0186181 | + | 0.0322475i | ||||
\(638\) | −32.1124 | −1.27134 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −7.60862 | −0.300757 | ||||||||
\(641\) | 9.66780 | − | 16.7451i | 0.381855 | − | 0.661393i | −0.609472 | − | 0.792807i | \(-0.708619\pi\) |
0.991327 | + | 0.131415i | \(0.0419520\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 19.7501 | + | 34.2082i | 0.778868 | + | 1.34904i | 0.932594 | + | 0.360926i | \(0.117539\pi\) |
−0.153726 | + | 0.988113i | \(0.549127\pi\) | |||||||
\(644\) | 0.171195 | + | 0.296519i | 0.00674604 | + | 0.0116845i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 23.7400 | − | 41.1188i | 0.934036 | − | 1.61780i | ||||
\(647\) | −35.0901 | −1.37954 | −0.689768 | − | 0.724031i | \(-0.742287\pi\) | ||||
−0.689768 | + | 0.724031i | \(0.742287\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −6.76345 | −0.265489 | ||||||||
\(650\) | 0.644173 | − | 1.11574i | 0.0252666 | − | 0.0437630i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.37160 | − | 5.83979i | −0.132042 | − | 0.228704i | ||||
\(653\) | −5.16552 | − | 8.94694i | −0.202142 | − | 0.350121i | 0.747076 | − | 0.664738i | \(-0.231457\pi\) |
−0.949218 | + | 0.314618i | \(0.898124\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.73503 | + | 3.00516i | −0.0677933 | + | 0.117421i | ||||
\(656\) | −19.4426 | −0.759105 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 22.2358 | 0.866842 | ||||||||
\(659\) | 16.6368 | − | 28.8158i | 0.648078 | − | 1.12250i | −0.335504 | − | 0.942039i | \(-0.608906\pi\) |
0.983581 | − | 0.180465i | \(-0.0577602\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 10.6134 | + | 18.3829i | 0.412812 | + | 0.715011i | 0.995196 | − | 0.0979025i | \(-0.0312133\pi\) |
−0.582384 | + | 0.812914i | \(0.697880\pi\) | |||||||
\(662\) | −2.26524 | − | 3.92351i | −0.0880411 | − | 0.152492i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 22.5491 | − | 39.0561i | 0.875074 | − | 1.51567i | ||||
\(665\) | −14.9213 | −0.578625 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.72836 | −0.0669222 | ||||||||
\(668\) | 4.04404 | − | 7.00449i | 0.156469 | − | 0.271012i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.15182 | + | 1.99500i | 0.0444985 | + | 0.0770737i | ||||
\(671\) | 23.6395 | + | 40.9447i | 0.912591 | + | 1.58065i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.618753 | − | 1.07171i | 0.0238512 | − | 0.0413115i | −0.853853 | − | 0.520513i | \(-0.825741\pi\) |
0.877705 | + | 0.479202i | \(0.159074\pi\) | |||||||
\(674\) | 25.2851 | 0.973947 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.340163 | −0.0130832 | ||||||||
\(677\) | 11.3996 | − | 19.7446i | 0.438121 | − | 0.758848i | −0.559424 | − | 0.828882i | \(-0.688977\pi\) |
0.997545 | + | 0.0700341i | \(0.0223108\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 15.8584 | + | 27.4675i | 0.608589 | + | 1.05411i | ||||
\(680\) | −10.4911 | − | 18.1712i | −0.402317 | − | 0.696834i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 24.4960 | − | 42.4283i | 0.938001 | − | 1.62467i | ||||
\(683\) | −2.63501 | −0.100826 | −0.0504130 | − | 0.998728i | \(-0.516054\pi\) | ||||
−0.0504130 | + | 0.998728i | \(0.516054\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5.75830 | −0.220013 | ||||||||
\(686\) | 11.0000 | − | 19.0526i | 0.419984 | − | 0.727433i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −15.6712 | − | 27.1433i | −0.597459 | − | 1.03483i | ||||
\(689\) | 1.63283 | + | 2.82814i | 0.0622058 | + | 0.107744i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.8570 | − | 20.5370i | 0.451063 | − | 0.781264i | −0.547389 | − | 0.836878i | \(-0.684378\pi\) |
0.998452 | + | 0.0556138i | \(0.0177116\pi\) | |||||||
\(692\) | −1.96813 | −0.0748169 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 32.7138 | 1.24180 | ||||||||
\(695\) | 3.79217 | − | 6.56823i | 0.143845 | − | 0.249147i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −21.1159 | − | 36.5739i | −0.799823 | − | 1.38533i | ||||
\(698\) | −7.85717 | − | 13.6090i | −0.297398 | − | 0.515109i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.479250 | + | 0.830085i | −0.0181139 | + | 0.0313743i | ||||
\(701\) | −36.6440 | −1.38403 | −0.692013 | − | 0.721885i | \(-0.743276\pi\) | ||||
−0.692013 | + | 0.721885i | \(0.743276\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 30.2310 | 1.14018 | ||||||||
\(704\) | −22.8173 | + | 39.5208i | −0.859961 | + | 1.48950i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 11.5634 | + | 20.0284i | 0.435194 | + | 0.753778i | ||||
\(707\) | −13.7485 | − | 23.8131i | −0.517065 | − | 0.895584i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −12.7783 | + | 22.1327i | −0.479900 | + | 0.831211i | −0.999734 | − | 0.0230560i | \(-0.992660\pi\) |
0.519834 | + | 0.854267i | \(0.325994\pi\) | |||||||
\(710\) | −6.33305 | −0.237675 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −19.4452 | −0.728738 | ||||||||
\(713\) | 1.31842 | − | 2.28358i | 0.0493754 | − | 0.0855207i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.57577 | − | 4.46137i | −0.0963284 | − | 0.166846i | ||||
\(716\) | 3.43535 | + | 5.95019i | 0.128385 | + | 0.222369i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −12.9901 | + | 22.4996i | −0.484787 | + | 0.839676i | ||||
\(719\) | −3.51637 | −0.131139 | −0.0655693 | − | 0.997848i | \(-0.520886\pi\) | ||||
−0.0655693 | + | 0.997848i | \(0.520886\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −22.3668 | −0.832981 | ||||||||
\(722\) | 5.82450 | − | 10.0883i | 0.216765 | − | 0.375449i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.71444 | − | 2.96950i | −0.0637167 | − | 0.110361i | ||||
\(725\) | −2.41921 | − | 4.19019i | −0.0898471 | − | 0.155620i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 9.54123 | − | 16.5259i | 0.353865 | − | 0.612912i | −0.633058 | − | 0.774104i | \(-0.718201\pi\) |
0.986923 | + | 0.161192i | \(0.0515340\pi\) | |||||||
\(728\) | −8.49540 | −0.314860 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −6.02660 | −0.223054 | ||||||||
\(731\) | 34.0399 | − | 58.9589i | 1.25901 | − | 2.18067i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 8.11234 | + | 14.0510i | 0.299636 | + | 0.518985i | 0.976053 | − | 0.217534i | \(-0.0698014\pi\) |
−0.676417 | + | 0.736519i | \(0.736468\pi\) | |||||||
\(734\) | 19.2502 | + | 33.3423i | 0.710536 | + | 1.23068i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.339724 | + | 0.588419i | −0.0125224 | + | 0.0216894i | ||||
\(737\) | 9.21123 | 0.339300 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 17.3100 | 0.636760 | 0.318380 | − | 0.947963i | \(-0.396861\pi\) | ||||
0.318380 | + | 0.947963i | \(0.396861\pi\) | |||||||
\(740\) | 0.970970 | − | 1.68177i | 0.0356936 | − | 0.0618231i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 5.92758 | + | 10.2669i | 0.217608 | + | 0.376909i | ||||
\(743\) | −22.3620 | − | 38.7321i | −0.820381 | − | 1.42094i | −0.905399 | − | 0.424562i | \(-0.860428\pi\) |
0.0850183 | − | 0.996379i | \(-0.472905\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.00953 | − | 5.21267i | 0.110261 | − | 0.190977i | ||||
\(746\) | 4.71039 | 0.172460 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −12.1955 | −0.445911 | ||||||||
\(749\) | −6.27086 | + | 10.8615i | −0.229132 | + | 0.396869i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −14.4998 | − | 25.1143i | −0.529104 | − | 0.916435i | −0.999424 | − | 0.0339392i | \(-0.989195\pi\) |
0.470320 | − | 0.882496i | \(-0.344139\pi\) | |||||||
\(752\) | 9.81235 | + | 16.9955i | 0.357820 | + | 0.619762i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 3.11678 | − | 5.39842i | 0.113506 | − | 0.196599i | ||||
\(755\) | 9.83190 | 0.357819 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 32.0762 | 1.16583 | 0.582914 | − | 0.812534i | \(-0.301912\pi\) | ||||
0.582914 | + | 0.812534i | \(0.301912\pi\) | |||||||
\(758\) | 15.5010 | − | 26.8486i | 0.563023 | − | 0.975184i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −7.98274 | − | 13.8265i | −0.289564 | − | 0.501540i | ||||
\(761\) | −12.4399 | − | 21.5465i | −0.450944 | − | 0.781059i | 0.547501 | − | 0.836805i | \(-0.315579\pi\) |
−0.998445 | + | 0.0557467i | \(0.982246\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −12.1006 | + | 20.9588i | −0.438070 | + | 0.758759i | ||||
\(764\) | −6.21064 | −0.224693 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −38.2394 | −1.38165 | ||||||||
\(767\) | 0.656449 | − | 1.13700i | 0.0237030 | − | 0.0410548i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 20.1005 | + | 34.8150i | 0.724842 | + | 1.25546i | 0.959039 | + | 0.283273i | \(0.0914204\pi\) |
−0.234198 | + | 0.972189i | \(0.575246\pi\) | |||||||
\(770\) | −9.35072 | − | 16.1959i | −0.336977 | − | 0.583660i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.368788 | + | 0.638759i | −0.0132730 | + | 0.0229894i | ||||
\(773\) | 2.03131 | 0.0730612 | 0.0365306 | − | 0.999333i | \(-0.488369\pi\) | ||||
0.0365306 | + | 0.999333i | \(0.488369\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 7.38168 | 0.265158 | ||||||||
\(776\) | −16.9681 | + | 29.3896i | −0.609119 | + | 1.05502i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −3.66346 | − | 6.34531i | −0.131342 | − | 0.227490i | ||||
\(779\) | −16.0672 | − | 27.8292i | −0.575666 | − | 0.997083i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −12.6616 | + | 21.9305i | −0.453066 | + | 0.784734i | ||||
\(782\) | 3.20285 | 0.114534 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.01109 | −0.107539 | ||||||||
\(785\) | 1.25443 | − | 2.17274i | 0.0447726 | − | 0.0775484i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −18.7372 | − | 32.4537i | −0.667908 | − | 1.15685i | −0.978488 | − | 0.206303i | \(-0.933857\pi\) |
0.310580 | − | 0.950547i | \(-0.399477\pi\) | |||||||
\(788\) | −2.54424 | − | 4.40675i | −0.0906347 | − | 0.156984i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 5.71451 | − | 9.89783i | 0.203313 | − | 0.352149i | ||||
\(791\) | 54.1997 | 1.92712 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −9.17762 | −0.325907 | ||||||||
\(794\) | −1.05696 | + | 1.83071i | −0.0375102 | + | 0.0649696i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.818567 | + | 1.41780i | 0.0290133 | + | 0.0502526i | ||||
\(797\) | −6.95827 | − | 12.0521i | −0.246475 | − | 0.426907i | 0.716070 | − | 0.698028i | \(-0.245939\pi\) |
−0.962545 | + | 0.271121i | \(0.912606\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −21.3137 | + | 36.9165i | −0.754026 | + | 1.30601i | ||||
\(800\) | −1.90207 | −0.0672482 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −17.1410 | −0.605270 | ||||||||
\(803\) | −12.0489 | + | 20.8693i | −0.425196 | + | 0.736461i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.503275 | − | 0.871697i | −0.0177381 | − | 0.0307233i | ||||
\(806\) | 4.75508 | + | 8.23604i | 0.167491 | + | 0.290102i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 14.7106 | − | 25.4794i | 0.517516 | − | 0.896364i | ||||
\(809\) | −7.77442 | −0.273334 | −0.136667 | − | 0.990617i | \(-0.543639\pi\) | ||||
−0.136667 | + | 0.990617i | \(0.543639\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −29.5307 | −1.03696 | −0.518482 | − | 0.855089i | \(-0.673503\pi\) | ||||
−0.518482 | + | 0.855089i | \(0.673503\pi\) | |||||||
\(812\) | −2.31881 | + | 4.01629i | −0.0813742 | + | 0.140944i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 18.9448 | + | 32.8133i | 0.664013 | + | 1.15010i | ||||
\(815\) | 9.91173 | + | 17.1676i | 0.347193 | + | 0.601356i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 25.9011 | − | 44.8620i | 0.906164 | − | 1.56952i | ||||
\(818\) | −13.6034 | −0.475630 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −2.06421 | −0.0720852 | ||||||||
\(821\) | −9.69370 | + | 16.7900i | −0.338312 | + | 0.585974i | −0.984115 | − | 0.177530i | \(-0.943189\pi\) |
0.645803 | + | 0.763504i | \(0.276523\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −19.9843 | − | 34.6138i | −0.696609 | − | 1.20656i | −0.969635 | − | 0.244555i | \(-0.921358\pi\) |
0.273027 | − | 0.962006i | \(-0.411975\pi\) | |||||||
\(824\) | −11.9659 | − | 20.7256i | −0.416853 | − | 0.722011i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.38308 | − | 4.12761i | 0.0829179 | − | 0.143618i | ||||
\(827\) | −39.8289 | −1.38499 | −0.692494 | − | 0.721424i | \(-0.743488\pi\) | ||||
−0.692494 | + | 0.721424i | \(0.743488\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 32.8078 | 1.13946 | 0.569731 | − | 0.821831i | \(-0.307047\pi\) | ||||
0.569731 | + | 0.821831i | \(0.307047\pi\) | |||||||
\(830\) | −9.63569 | + | 16.6895i | −0.334460 | + | 0.579301i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −4.42922 | − | 7.67164i | −0.153556 | − | 0.265966i | ||||
\(833\) | −3.27024 | − | 5.66422i | −0.113307 | − | 0.196254i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −11.8886 | + | 20.5916i | −0.411420 | + | 0.712601i | ||||
\(836\) | −9.27956 | −0.320940 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 26.4743 | 0.914541 | ||||||||
\(839\) | 24.7549 | − | 42.8767i | 0.854633 | − | 1.48027i | −0.0223528 | − | 0.999750i | \(-0.507116\pi\) |
0.876985 | − | 0.480517i | \(-0.159551\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.79488 | + | 4.84087i | 0.0963751 | + | 0.166927i | ||||
\(842\) | −23.3652 | − | 40.4697i | −0.805218 | − | 1.39468i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1.63380 | − | 2.82982i | 0.0562376 | − | 0.0974064i | ||||
\(845\) | 1.00000 | 0.0344010 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −43.7836 | −1.50442 | ||||||||
\(848\) | −5.23152 | + | 9.06126i | −0.179651 | + | 0.311165i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 4.48308 | + | 7.76493i | 0.153769 | + | 0.266335i | ||||
\(851\) | 1.01965 | + | 1.76608i | 0.0349530 | + | 0.0605403i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 9.43866 | − | 16.3482i | 0.323174 | − | 0.559753i | −0.657967 | − | 0.753046i | \(-0.728584\pi\) |
0.981141 | + | 0.193293i | \(0.0619168\pi\) | |||||||
\(854\) | −33.3171 | −1.14009 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −13.4193 | −0.458664 | ||||||||
\(857\) | −19.0881 | + | 33.0616i | −0.652037 | + | 1.12936i | 0.330591 | + | 0.943774i | \(0.392752\pi\) |
−0.982628 | + | 0.185587i | \(0.940581\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −17.1791 | − | 29.7551i | −0.586144 | − | 1.01523i | −0.994732 | − | 0.102512i | \(-0.967312\pi\) |
0.408588 | − | 0.912719i | \(-0.366021\pi\) | |||||||
\(860\) | −1.66380 | − | 2.88179i | −0.0567352 | − | 0.0982682i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −9.94074 | + | 17.2179i | −0.338583 | + | 0.586443i | ||||
\(863\) | −38.0198 | −1.29421 | −0.647105 | − | 0.762401i | \(-0.724020\pi\) | ||||
−0.647105 | + | 0.762401i | \(0.724020\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.78584 | 0.196724 | ||||||||
\(866\) | −15.0404 | + | 26.0508i | −0.511095 | + | 0.885243i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −3.53767 | − | 6.12742i | −0.120076 | − | 0.207978i | ||||
\(869\) | −22.8499 | − | 39.5772i | −0.775129 | − | 1.34256i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.894026 | + | 1.54850i | −0.0302929 | + | 0.0524689i | ||||
\(872\) | −25.8946 | −0.876902 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.43706 | 0.0824347 | ||||||||
\(875\) | 1.40888 | − | 2.44026i | 0.0476289 | − | 0.0824957i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 15.8916 | + | 27.5251i | 0.536622 | + | 0.929456i | 0.999083 | + | 0.0428167i | \(0.0136331\pi\) |
−0.462461 | + | 0.886640i | \(0.653034\pi\) | |||||||
\(878\) | 8.01978 | + | 13.8907i | 0.270654 | + | 0.468787i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 8.25268 | − | 14.2941i | 0.278198 | − | 0.481853i | ||||
\(881\) | 9.08373 | 0.306039 | 0.153019 | − | 0.988223i | \(-0.451100\pi\) | ||||
0.153019 | + | 0.988223i | \(0.451100\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 49.6414 | 1.67057 | 0.835283 | − | 0.549820i | \(-0.185304\pi\) | ||||
0.835283 | + | 0.549820i | \(0.185304\pi\) | |||||||
\(884\) | 1.18367 | − | 2.05018i | 0.0398112 | − | 0.0689550i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 4.67907 | + | 8.10438i | 0.157196 | + | 0.272272i | ||||
\(887\) | 14.9338 | + | 25.8661i | 0.501429 | + | 0.868500i | 0.999999 | + | 0.00165060i | \(0.000525401\pi\) |
−0.498570 | + | 0.866850i | \(0.666141\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 11.2569 | − | 19.4976i | 0.377545 | − | 0.653927i | ||||
\(890\) | 8.30932 | 0.278529 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.16036 | 0.0723342 | ||||||||
\(893\) | −16.2177 | + | 28.0898i | −0.542704 | + | 0.939990i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −10.0991 | − | 17.4922i | −0.337576 | − | 0.584699i | ||||
\(896\) | −10.7196 | − | 18.5670i | −0.358118 | − | 0.620279i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 9.49418 | − | 16.4444i | 0.316825 | − | 0.548757i | ||||
\(899\) | 35.7156 | 1.19118 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −22.7271 | −0.757150 | ||||||||
\(902\) | 20.1375 | − | 34.8793i | 0.670507 | − | 1.16135i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 28.9962 | + | 50.2229i | 0.964399 | + | 1.67039i | ||||
\(905\) | 5.04006 | + | 8.72964i | 0.167537 | + | 0.290183i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 9.22113 | − | 15.9715i | 0.306183 | − | 0.530324i | −0.671341 | − | 0.741148i | \(-0.734282\pi\) |
0.977524 | + | 0.210824i | \(0.0676148\pi\) | |||||||
\(908\) | 1.93867 | 0.0643371 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 3.63026 | 0.120342 | ||||||||
\(911\) | −4.10456 | + | 7.10930i | −0.135990 | + | 0.235542i | −0.925975 | − | 0.377584i | \(-0.876755\pi\) |
0.789985 | + | 0.613126i | \(0.210088\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 38.5290 | + | 66.7341i | 1.27512 | + | 2.20858i | ||||
\(914\) | 4.76867 | + | 8.25957i | 0.157733 | + | 0.273202i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.73253 | + | 6.46494i | −0.123326 | + | 0.213608i | ||||
\(917\) | −9.77782 | −0.322892 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1.11177 | −0.0366738 | −0.0183369 | − | 0.999832i | \(-0.505837\pi\) | ||||
−0.0183369 | + | 0.999832i | \(0.505837\pi\) | |||||||
\(920\) | 0.538492 | − | 0.932695i | 0.0177535 | − | 0.0307500i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.96093 | + | 3.39642i | 0.0645796 | + | 0.111855i | ||||
\(923\) | −2.45782 | − | 4.25707i | −0.0809001 | − | 0.140123i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.85443 | + | 4.94401i | −0.0938530 | + | 0.162558i | ||||
\(926\) | −18.0122 | −0.591916 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −9.20299 | −0.302103 | ||||||||
\(929\) | 5.88119 | − | 10.1865i | 0.192956 | − | 0.334209i | −0.753273 | − | 0.657708i | \(-0.771526\pi\) |
0.946228 | + | 0.323499i | \(0.104859\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.48833 | − | 4.30992i | −0.0815519 | − | 0.141252i | ||||
\(932\) | −4.38252 | − | 7.59074i | −0.143554 | − | 0.248643i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −19.7404 | + | 34.1914i | −0.645926 | + | 1.11878i | ||||
\(935\) | 35.8519 | 1.17248 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −50.7176 | −1.65687 | −0.828436 | − | 0.560084i | \(-0.810769\pi\) | ||||
−0.828436 | + | 0.560084i | \(0.810769\pi\) | |||||||
\(938\) | −3.24555 | + | 5.62145i | −0.105971 | + | 0.183547i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 1.04177 | + | 1.80440i | 0.0339788 | + | 0.0588531i | ||||
\(941\) | 13.3852 | + | 23.1839i | 0.436345 | + | 0.755772i | 0.997404 | − | 0.0720035i | \(-0.0229393\pi\) |
−0.561059 | + | 0.827776i | \(0.689606\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.08384 | − | 1.87727i | 0.0352948 | − | 0.0611324i | ||||
\(944\) | 4.20648 | 0.136909 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 64.9254 | 2.11091 | ||||||||
\(947\) | −11.4159 | + | 19.7730i | −0.370968 | + | 0.642536i | −0.989715 | − | 0.143055i | \(-0.954307\pi\) |
0.618746 | + | 0.785591i | \(0.287641\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −2.33889 | − | 4.05108i | −0.0759236 | − | 0.131503i | ||||
\(950\) | 3.41119 | + | 5.90835i | 0.110674 | + | 0.191692i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 29.5616 | − | 51.2022i | 0.958097 | − | 1.65947i | ||||
\(953\) | 4.98857 | 0.161596 | 0.0807979 | − | 0.996731i | \(-0.474253\pi\) | ||||
0.0807979 | + | 0.996731i | \(0.474253\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 18.2578 | 0.590810 | ||||||||
\(956\) | 1.01216 | − | 1.75310i | 0.0327354 | − | 0.0566994i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 1.90936 | + | 3.30710i | 0.0616885 | + | 0.106848i | ||||
\(959\) | −8.11277 | − | 14.0517i | −0.261975 | − | 0.453754i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −11.7446 | + | 20.3422i | −0.378858 | + | 0.656201i | ||||
\(962\) | −7.35498 | −0.237134 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −7.92542 | −0.255261 | ||||||||
\(965\) | 1.08415 | − | 1.87780i | 0.0349000 | − | 0.0604486i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 8.44142 | + | 14.6210i | 0.271458 | + | 0.470179i | 0.969235 | − | 0.246136i | \(-0.0791610\pi\) |
−0.697778 | + | 0.716314i | \(0.745828\pi\) | |||||||
\(968\) | −23.4237 | − | 40.5710i | −0.752866 | − | 1.30400i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 7.25081 | − | 12.5588i | 0.232810 | − | 0.403238i | ||||
\(971\) | 12.3303 | 0.395699 | 0.197850 | − | 0.980232i | \(-0.436604\pi\) | ||||
0.197850 | + | 0.980232i | \(0.436604\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 21.3709 | 0.685119 | ||||||||
\(974\) | −11.2950 | + | 19.5635i | −0.361915 | + | 0.626856i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −14.7024 | − | 25.4653i | −0.470612 | − | 0.815123i | ||||
\(977\) | 30.0983 | + | 52.1317i | 0.962929 | + | 1.66784i | 0.715079 | + | 0.699044i | \(0.246391\pi\) |
0.247850 | + | 0.968798i | \(0.420276\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 16.6127 | − | 28.7740i | 0.530944 | − | 0.919622i | ||||
\(980\) | −0.319685 | −0.0102120 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −27.2026 | −0.868070 | ||||||||
\(983\) | −1.13564 | + | 1.96698i | −0.0362212 | + | 0.0627370i | −0.883568 | − | 0.468303i | \(-0.844865\pi\) |
0.847346 | + | 0.531040i | \(0.178199\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 7.47946 | + | 12.9548i | 0.238316 | + | 0.412775i | ||||
\(986\) | 21.6910 | + | 37.5699i | 0.690783 | + | 1.19647i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.900658 | − | 1.55999i | 0.0286538 | − | 0.0496298i | ||||
\(989\) | 3.49442 | 0.111116 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 55.9580 | 1.77756 | 0.888782 | − | 0.458331i | \(-0.151552\pi\) | ||||
0.888782 | + | 0.458331i | \(0.151552\pi\) | |||||||
\(992\) | 7.02022 | − | 12.1594i | 0.222892 | − | 0.386061i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −8.92252 | − | 15.4543i | −0.283005 | − | 0.490179i | ||||
\(995\) | −2.40640 | − | 4.16800i | −0.0762879 | − | 0.132135i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1.41267 | + | 2.44682i | −0.0447397 | + | 0.0774915i | −0.887528 | − | 0.460754i | \(-0.847579\pi\) |
0.842788 | + | 0.538245i | \(0.180913\pi\) | |||||||
\(998\) | −42.6501 | −1.35007 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1755.2.i.h.586.11 | 30 | ||
3.2 | odd | 2 | 585.2.i.h.196.5 | ✓ | 30 | ||
9.2 | odd | 6 | 5265.2.a.bk.1.11 | 15 | |||
9.4 | even | 3 | inner | 1755.2.i.h.1171.11 | 30 | ||
9.5 | odd | 6 | 585.2.i.h.391.5 | yes | 30 | ||
9.7 | even | 3 | 5265.2.a.bl.1.5 | 15 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
585.2.i.h.196.5 | ✓ | 30 | 3.2 | odd | 2 | ||
585.2.i.h.391.5 | yes | 30 | 9.5 | odd | 6 | ||
1755.2.i.h.586.11 | 30 | 1.1 | even | 1 | trivial | ||
1755.2.i.h.1171.11 | 30 | 9.4 | even | 3 | inner | ||
5265.2.a.bk.1.11 | 15 | 9.2 | odd | 6 | |||
5265.2.a.bl.1.5 | 15 | 9.7 | even | 3 |