Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(25,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.w (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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.8 | ||
Character | \(\chi\) | \(=\) | 378.25 |
Dual form | 378.2.w.b.121.8 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | − | 0.342020i | 0.664463 | − | 0.241845i | ||||
\(3\) | 1.05262 | + | 1.37550i | 0.607729 | + | 0.794145i | ||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | −0.324117 | − | 0.117969i | −0.144950 | − | 0.0527574i | 0.268527 | − | 0.963272i | \(-0.413463\pi\) |
−0.413476 | + | 0.910515i | \(0.635686\pi\) | |||||||
\(6\) | 1.45959 | + | 0.932530i | 0.595873 | + | 0.380704i | ||||
\(7\) | 0.0472752 | + | 2.64533i | 0.0178683 | + | 0.999840i | ||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −0.783993 | + | 2.89575i | −0.261331 | + | 0.965249i | ||||
\(10\) | −0.344919 | −0.109073 | ||||||||
\(11\) | 0.821414 | − | 0.298970i | 0.247666 | − | 0.0901430i | −0.215205 | − | 0.976569i | \(-0.569042\pi\) |
0.462870 | + | 0.886426i | \(0.346820\pi\) | |||||||
\(12\) | 1.69051 | + | 0.377084i | 0.488007 | + | 0.108855i | ||||
\(13\) | 0.0309187 | + | 0.175349i | 0.00857530 | + | 0.0486329i | 0.988795 | − | 0.149279i | \(-0.0476952\pi\) |
−0.980220 | + | 0.197912i | \(0.936584\pi\) | |||||||
\(14\) | 0.949180 | + | 2.46963i | 0.253679 | + | 0.660036i | ||||
\(15\) | −0.178905 | − | 0.569999i | −0.0461932 | − | 0.147173i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 6.92584 | 1.67976 | 0.839881 | − | 0.542771i | \(-0.182625\pi\) | ||||
0.839881 | + | 0.542771i | \(0.182625\pi\) | |||||||
\(18\) | 0.253692 | + | 2.98925i | 0.0597957 | + | 0.704574i | ||||
\(19\) | −3.35263 | −0.769146 | −0.384573 | − | 0.923095i | \(-0.625651\pi\) | ||||
−0.384573 | + | 0.923095i | \(0.625651\pi\) | |||||||
\(20\) | −0.324117 | + | 0.117969i | −0.0724749 | + | 0.0263787i | ||||
\(21\) | −3.58888 | + | 2.84955i | −0.783159 | + | 0.621822i | ||||
\(22\) | 0.669623 | − | 0.561880i | 0.142764 | − | 0.119793i | ||||
\(23\) | −1.31015 | − | 7.43026i | −0.273186 | − | 1.54932i | −0.744665 | − | 0.667438i | \(-0.767391\pi\) |
0.471479 | − | 0.881877i | \(-0.343720\pi\) | |||||||
\(24\) | 1.71753 | − | 0.223844i | 0.350588 | − | 0.0456920i | ||||
\(25\) | −3.73909 | − | 3.13747i | −0.747817 | − | 0.627493i | ||||
\(26\) | 0.0890268 | + | 0.154199i | 0.0174596 | + | 0.0302409i | ||||
\(27\) | −4.80834 | + | 1.96973i | −0.925366 | + | 0.379075i | ||||
\(28\) | 1.73660 | + | 1.99605i | 0.328186 | + | 0.377218i | ||||
\(29\) | −0.470725 | + | 2.66961i | −0.0874114 | + | 0.495735i | 0.909399 | + | 0.415925i | \(0.136542\pi\) |
−0.996810 | + | 0.0798093i | \(0.974569\pi\) | |||||||
\(30\) | −0.363067 | − | 0.474435i | −0.0662867 | − | 0.0866196i | ||||
\(31\) | 5.72127 | − | 4.80071i | 1.02757 | − | 0.862234i | 0.0370102 | − | 0.999315i | \(-0.488217\pi\) |
0.990560 | + | 0.137081i | \(0.0437721\pi\) | |||||||
\(32\) | −0.173648 | − | 0.984808i | −0.0306970 | − | 0.174091i | ||||
\(33\) | 1.27587 | + | 0.815153i | 0.222100 | + | 0.141900i | ||||
\(34\) | 6.50816 | − | 2.36878i | 1.11614 | − | 0.406242i | ||||
\(35\) | 0.296744 | − | 0.862974i | 0.0501589 | − | 0.145869i | ||||
\(36\) | 1.26078 | + | 2.72221i | 0.210130 | + | 0.453702i | ||||
\(37\) | −2.43522 | + | 4.21792i | −0.400348 | + | 0.693422i | −0.993768 | − | 0.111470i | \(-0.964444\pi\) |
0.593420 | + | 0.804893i | \(0.297777\pi\) | |||||||
\(38\) | −3.15044 | + | 1.14667i | −0.511069 | + | 0.186014i | ||||
\(39\) | −0.208646 | + | 0.227104i | −0.0334101 | + | 0.0363657i | ||||
\(40\) | −0.264223 | + | 0.221709i | −0.0417773 | + | 0.0350553i | ||||
\(41\) | 0.625127 | + | 3.54527i | 0.0976285 | + | 0.553679i | 0.993910 | + | 0.110193i | \(0.0351470\pi\) |
−0.896282 | + | 0.443485i | \(0.853742\pi\) | |||||||
\(42\) | −2.39785 | + | 3.90517i | −0.369996 | + | 0.602581i | ||||
\(43\) | −6.79190 | − | 5.69908i | −1.03575 | − | 0.869101i | −0.0442302 | − | 0.999021i | \(-0.514084\pi\) |
−0.991524 | + | 0.129920i | \(0.958528\pi\) | |||||||
\(44\) | 0.437065 | − | 0.757020i | 0.0658901 | − | 0.114125i | ||||
\(45\) | 0.595715 | − | 0.846075i | 0.0888039 | − | 0.126125i | ||||
\(46\) | −3.77244 | − | 6.53406i | −0.556216 | − | 0.963394i | ||||
\(47\) | −1.30421 | − | 1.09436i | −0.190239 | − | 0.159629i | 0.542694 | − | 0.839931i | \(-0.317404\pi\) |
−0.732932 | + | 0.680301i | \(0.761849\pi\) | |||||||
\(48\) | 1.53739 | − | 0.797773i | 0.221903 | − | 0.115149i | ||||
\(49\) | −6.99553 | + | 0.250117i | −0.999361 | + | 0.0357310i | ||||
\(50\) | −4.58667 | − | 1.66941i | −0.648653 | − | 0.236090i | ||||
\(51\) | 7.29026 | + | 9.52648i | 1.02084 | + | 1.33397i | ||||
\(52\) | 0.136397 | + | 0.114451i | 0.0189149 | + | 0.0158715i | ||||
\(53\) | 5.57388 | − | 9.65424i | 0.765631 | − | 1.32611i | −0.174281 | − | 0.984696i | \(-0.555760\pi\) |
0.939912 | − | 0.341416i | \(-0.110906\pi\) | |||||||
\(54\) | −3.84467 | + | 3.49549i | −0.523194 | + | 0.475676i | ||||
\(55\) | −0.301504 | −0.0406548 | ||||||||
\(56\) | 2.31456 | + | 1.28172i | 0.309296 | + | 0.171277i | ||||
\(57\) | −3.52904 | − | 4.61154i | −0.467432 | − | 0.610813i | ||||
\(58\) | 0.470725 | + | 2.66961i | 0.0618092 | + | 0.350537i | ||||
\(59\) | 0.869906 | + | 4.93348i | 0.113252 | + | 0.642285i | 0.987601 | + | 0.156986i | \(0.0501779\pi\) |
−0.874349 | + | 0.485298i | \(0.838711\pi\) | |||||||
\(60\) | −0.503438 | − | 0.321647i | −0.0649936 | − | 0.0415244i | ||||
\(61\) | 0.132498 | + | 0.111179i | 0.0169646 | + | 0.0142350i | 0.651231 | − | 0.758880i | \(-0.274253\pi\) |
−0.634266 | + | 0.773115i | \(0.718698\pi\) | |||||||
\(62\) | 3.73429 | − | 6.46798i | 0.474256 | − | 0.821435i | ||||
\(63\) | −7.69727 | − | 1.93702i | −0.969765 | − | 0.244042i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0.0106644 | − | 0.0604810i | 0.00132276 | − | 0.00750174i | ||||
\(66\) | 1.47772 | + | 0.329620i | 0.181895 | + | 0.0405735i | ||||
\(67\) | −6.05460 | − | 2.20369i | −0.739687 | − | 0.269224i | −0.0554276 | − | 0.998463i | \(-0.517652\pi\) |
−0.684259 | + | 0.729239i | \(0.739874\pi\) | |||||||
\(68\) | 5.30550 | − | 4.45184i | 0.643386 | − | 0.539865i | ||||
\(69\) | 8.84122 | − | 9.62333i | 1.06436 | − | 1.15851i | ||||
\(70\) | −0.0163061 | − | 0.912423i | −0.00194895 | − | 0.109055i | ||||
\(71\) | −4.67546 | − | 8.09814i | −0.554876 | − | 0.961073i | −0.997913 | − | 0.0645697i | \(-0.979433\pi\) |
0.443038 | − | 0.896503i | \(-0.353901\pi\) | |||||||
\(72\) | 2.11579 | + | 2.12683i | 0.249349 | + | 0.250650i | ||||
\(73\) | 5.90570 | + | 10.2290i | 0.691210 | + | 1.19721i | 0.971442 | + | 0.237279i | \(0.0762554\pi\) |
−0.280232 | + | 0.959932i | \(0.590411\pi\) | |||||||
\(74\) | −0.845743 | + | 4.79645i | −0.0983156 | + | 0.557576i | ||||
\(75\) | 0.379753 | − | 8.44566i | 0.0438501 | − | 0.975221i | ||||
\(76\) | −2.56826 | + | 2.15503i | −0.294600 | + | 0.247199i | ||||
\(77\) | 0.829707 | + | 2.15878i | 0.0945539 | + | 0.246015i | ||||
\(78\) | −0.118389 | + | 0.284769i | −0.0134049 | + | 0.0322437i | ||||
\(79\) | 0.444522 | − | 0.161793i | 0.0500126 | − | 0.0182031i | −0.316893 | − | 0.948461i | \(-0.602640\pi\) |
0.366905 | + | 0.930258i | \(0.380417\pi\) | |||||||
\(80\) | −0.172459 | + | 0.298708i | −0.0192815 | + | 0.0333966i | ||||
\(81\) | −7.77071 | − | 4.54049i | −0.863412 | − | 0.504499i | ||||
\(82\) | 1.79998 | + | 3.11766i | 0.198775 | + | 0.344288i | ||||
\(83\) | −0.240849 | + | 1.36592i | −0.0264366 | + | 0.149929i | −0.995169 | − | 0.0981796i | \(-0.968698\pi\) |
0.968732 | + | 0.248109i | \(0.0798091\pi\) | |||||||
\(84\) | −0.917591 | + | 4.48977i | −0.100117 | + | 0.489874i | ||||
\(85\) | −2.24478 | − | 0.817035i | −0.243481 | − | 0.0886198i | ||||
\(86\) | −8.33150 | − | 3.03242i | −0.898408 | − | 0.326994i | ||||
\(87\) | −4.16754 | + | 2.16260i | −0.446807 | + | 0.231855i | ||||
\(88\) | 0.151791 | − | 0.860851i | 0.0161810 | − | 0.0917670i | ||||
\(89\) | 13.2090 | 1.40015 | 0.700076 | − | 0.714068i | \(-0.253149\pi\) | ||||
0.700076 | + | 0.714068i | \(0.253149\pi\) | |||||||
\(90\) | 0.270414 | − | 0.998797i | 0.0285041 | − | 0.105282i | ||||
\(91\) | −0.462393 | + | 0.0900797i | −0.0484720 | + | 0.00944292i | ||||
\(92\) | −5.77971 | − | 4.84976i | −0.602577 | − | 0.505622i | ||||
\(93\) | 12.6257 | + | 2.81628i | 1.30922 | + | 0.292035i | ||||
\(94\) | −1.59985 | − | 0.582298i | −0.165012 | − | 0.0600595i | ||||
\(95\) | 1.08665 | + | 0.395507i | 0.111487 | + | 0.0405781i | ||||
\(96\) | 1.17182 | − | 1.27548i | 0.119598 | − | 0.130178i | ||||
\(97\) | −3.52644 | − | 2.95904i | −0.358056 | − | 0.300445i | 0.445959 | − | 0.895053i | \(-0.352863\pi\) |
−0.804015 | + | 0.594609i | \(0.797307\pi\) | |||||||
\(98\) | −6.48810 | + | 2.62765i | −0.655397 | + | 0.265432i | ||||
\(99\) | 0.221760 | + | 2.61300i | 0.0222877 | + | 0.262616i | ||||
\(100\) | −4.88103 | −0.488103 | ||||||||
\(101\) | 2.88068 | − | 16.3371i | 0.286638 | − | 1.62560i | −0.412738 | − | 0.910850i | \(-0.635427\pi\) |
0.699376 | − | 0.714754i | \(-0.253462\pi\) | |||||||
\(102\) | 10.1088 | + | 6.45855i | 1.00093 | + | 0.639491i | ||||
\(103\) | −14.5889 | − | 5.30994i | −1.43749 | − | 0.523204i | −0.498422 | − | 0.866935i | \(-0.666087\pi\) |
−0.939068 | + | 0.343731i | \(0.888309\pi\) | |||||||
\(104\) | 0.167316 | + | 0.0608979i | 0.0164067 | + | 0.00597153i | ||||
\(105\) | 1.49938 | − | 0.500210i | 0.146324 | − | 0.0488155i | ||||
\(106\) | 1.93579 | − | 10.9784i | 0.188020 | − | 1.06632i | ||||
\(107\) | 7.31071 | + | 12.6625i | 0.706753 | + | 1.22413i | 0.966055 | + | 0.258336i | \(0.0831741\pi\) |
−0.259302 | + | 0.965796i | \(0.583493\pi\) | |||||||
\(108\) | −2.41728 | + | 4.59965i | −0.232603 | + | 0.442601i | ||||
\(109\) | −2.18827 | + | 3.79020i | −0.209598 | + | 0.363035i | −0.951588 | − | 0.307376i | \(-0.900549\pi\) |
0.741990 | + | 0.670411i | \(0.233882\pi\) | |||||||
\(110\) | −0.283321 | + | 0.103120i | −0.0270136 | + | 0.00983215i | ||||
\(111\) | −8.36510 | + | 1.09022i | −0.793980 | + | 0.103479i | ||||
\(112\) | 2.61335 | + | 0.412800i | 0.246938 | + | 0.0390059i | ||||
\(113\) | −7.48470 | + | 6.28041i | −0.704101 | + | 0.590811i | −0.922937 | − | 0.384951i | \(-0.874218\pi\) |
0.218836 | + | 0.975762i | \(0.429774\pi\) | |||||||
\(114\) | −4.89345 | − | 3.12643i | −0.458313 | − | 0.292817i | ||||
\(115\) | −0.451897 | + | 2.56283i | −0.0421396 | + | 0.238985i | ||||
\(116\) | 1.35540 | + | 2.34762i | 0.125846 | + | 0.217971i | ||||
\(117\) | −0.532005 | − | 0.0479393i | −0.0491839 | − | 0.00443199i | ||||
\(118\) | 2.50480 | + | 4.33843i | 0.230585 | + | 0.399385i | ||||
\(119\) | 0.327420 | + | 18.3211i | 0.0300146 | + | 1.67949i | ||||
\(120\) | −0.583087 | − | 0.130063i | −0.0532283 | − | 0.0118731i | ||||
\(121\) | −7.84115 | + | 6.57951i | −0.712832 | + | 0.598137i | ||||
\(122\) | 0.162533 | + | 0.0591570i | 0.0147150 | + | 0.00535582i | ||||
\(123\) | −4.21850 | + | 4.59168i | −0.380369 | + | 0.414018i | ||||
\(124\) | 1.29691 | − | 7.35512i | 0.116466 | − | 0.660509i | ||||
\(125\) | 1.70408 | + | 2.95155i | 0.152417 | + | 0.263994i | ||||
\(126\) | −7.89557 | + | 0.812415i | −0.703393 | + | 0.0723757i | ||||
\(127\) | −4.76761 | + | 8.25775i | −0.423057 | + | 0.732757i | −0.996237 | − | 0.0866732i | \(-0.972376\pi\) |
0.573180 | + | 0.819430i | \(0.305710\pi\) | |||||||
\(128\) | −0.766044 | − | 0.642788i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | 0.689805 | − | 15.3412i | 0.0607339 | − | 1.35072i | ||||
\(130\) | −0.0106644 | − | 0.0604810i | −0.000935332 | − | 0.00530453i | ||||
\(131\) | 0.0746917 | + | 0.423598i | 0.00652585 | + | 0.0370099i | 0.987897 | − | 0.155113i | \(-0.0495740\pi\) |
−0.981371 | + | 0.192122i | \(0.938463\pi\) | |||||||
\(132\) | 1.50134 | − | 0.195669i | 0.130675 | − | 0.0170308i | ||||
\(133\) | −0.158496 | − | 8.86881i | −0.0137434 | − | 0.769023i | ||||
\(134\) | −6.44317 | −0.556605 | ||||||||
\(135\) | 1.79083 | − | 0.0711892i | 0.154131 | − | 0.00612699i | ||||
\(136\) | 3.46292 | − | 5.99795i | 0.296943 | − | 0.514320i | ||||
\(137\) | 2.08636 | + | 1.75067i | 0.178250 | + | 0.149569i | 0.727547 | − | 0.686057i | \(-0.240660\pi\) |
−0.549297 | + | 0.835627i | \(0.685105\pi\) | |||||||
\(138\) | 5.01665 | − | 12.0668i | 0.427046 | − | 1.02720i | ||||
\(139\) | 2.29383 | + | 0.834887i | 0.194560 | + | 0.0708142i | 0.437463 | − | 0.899237i | \(-0.355877\pi\) |
−0.242902 | + | 0.970051i | \(0.578099\pi\) | |||||||
\(140\) | −0.327390 | − | 0.851820i | −0.0276695 | − | 0.0719919i | ||||
\(141\) | 0.132459 | − | 2.94589i | 0.0111551 | − | 0.248088i | ||||
\(142\) | −7.16323 | − | 6.01066i | −0.601125 | − | 0.504404i | ||||
\(143\) | 0.0778211 | + | 0.134790i | 0.00650773 | + | 0.0112717i | ||||
\(144\) | 2.71562 | + | 1.27492i | 0.226301 | + | 0.106244i | ||||
\(145\) | 0.467502 | − | 0.809737i | 0.0388239 | − | 0.0672450i | ||||
\(146\) | 9.04806 | + | 7.59222i | 0.748823 | + | 0.628337i | ||||
\(147\) | −7.70765 | − | 9.35906i | −0.635716 | − | 0.771923i | ||||
\(148\) | 0.845743 | + | 4.79645i | 0.0695196 | + | 0.394265i | ||||
\(149\) | 6.61534 | − | 5.55093i | 0.541950 | − | 0.454750i | −0.330254 | − | 0.943892i | \(-0.607135\pi\) |
0.872204 | + | 0.489142i | \(0.162690\pi\) | |||||||
\(150\) | −2.53174 | − | 8.06621i | −0.206715 | − | 0.658603i | ||||
\(151\) | −0.259890 | + | 0.0945921i | −0.0211495 | + | 0.00769779i | −0.352573 | − | 0.935784i | \(-0.614693\pi\) |
0.331424 | + | 0.943482i | \(0.392471\pi\) | |||||||
\(152\) | −1.67631 | + | 2.90346i | −0.135967 | + | 0.235502i | ||||
\(153\) | −5.42981 | + | 20.0555i | −0.438974 | + | 1.62139i | ||||
\(154\) | 1.51802 | + | 1.74481i | 0.122325 | + | 0.140601i | ||||
\(155\) | −2.42070 | + | 0.881062i | −0.194435 | + | 0.0707686i | ||||
\(156\) | −0.0138529 | + | 0.308087i | −0.00110912 | + | 0.0246667i | ||||
\(157\) | 2.84896 | + | 16.1573i | 0.227372 | + | 1.28949i | 0.858099 | + | 0.513485i | \(0.171646\pi\) |
−0.630727 | + | 0.776005i | \(0.717243\pi\) | |||||||
\(158\) | 0.362377 | − | 0.304071i | 0.0288292 | − | 0.0241906i | ||||
\(159\) | 19.1466 | − | 2.49536i | 1.51842 | − | 0.197895i | ||||
\(160\) | −0.0598945 | + | 0.339678i | −0.00473507 | + | 0.0268539i | ||||
\(161\) | 19.5935 | − | 3.81706i | 1.54419 | − | 0.300826i | ||||
\(162\) | −8.85502 | − | 1.60893i | −0.695716 | − | 0.126409i | ||||
\(163\) | 10.6016 | + | 18.3625i | 0.830380 | + | 1.43826i | 0.897737 | + | 0.440531i | \(0.145210\pi\) |
−0.0673579 | + | 0.997729i | \(0.521457\pi\) | |||||||
\(164\) | 2.75773 | + | 2.31401i | 0.215343 | + | 0.180694i | ||||
\(165\) | −0.317368 | − | 0.414718i | −0.0247071 | − | 0.0322858i | ||||
\(166\) | 0.240849 | + | 1.36592i | 0.0186935 | + | 0.106016i | ||||
\(167\) | −0.717784 | + | 0.602292i | −0.0555438 | + | 0.0466068i | −0.670137 | − | 0.742237i | \(-0.733765\pi\) |
0.614593 | + | 0.788844i | \(0.289320\pi\) | |||||||
\(168\) | 0.673338 | + | 4.53284i | 0.0519491 | + | 0.349716i | ||||
\(169\) | 12.1862 | − | 4.43542i | 0.937401 | − | 0.341186i | ||||
\(170\) | −2.38885 | −0.183216 | ||||||||
\(171\) | 2.62844 | − | 9.70837i | 0.201002 | − | 0.742418i | ||||
\(172\) | −8.86619 | −0.676041 | ||||||||
\(173\) | −2.14972 | + | 12.1917i | −0.163440 | + | 0.926915i | 0.787218 | + | 0.616675i | \(0.211521\pi\) |
−0.950658 | + | 0.310240i | \(0.899590\pi\) | |||||||
\(174\) | −3.17656 | + | 3.45756i | −0.240814 | + | 0.262117i | ||||
\(175\) | 8.12286 | − | 10.0394i | 0.614031 | − | 0.758910i | ||||
\(176\) | −0.151791 | − | 0.860851i | −0.0114417 | − | 0.0648891i | ||||
\(177\) | −5.87032 | + | 6.38963i | −0.441240 | + | 0.480274i | ||||
\(178\) | 12.4124 | − | 4.51775i | 0.930349 | − | 0.338619i | ||||
\(179\) | 8.49241 | 0.634752 | 0.317376 | − | 0.948300i | \(-0.397198\pi\) | ||||
0.317376 | + | 0.948300i | \(0.397198\pi\) | |||||||
\(180\) | −0.0875030 | − | 1.03105i | −0.00652209 | − | 0.0768499i | ||||
\(181\) | 2.84630 | − | 4.92994i | 0.211564 | − | 0.366439i | −0.740640 | − | 0.671902i | \(-0.765478\pi\) |
0.952204 | + | 0.305462i | \(0.0988110\pi\) | |||||||
\(182\) | −0.403698 | + | 0.242795i | −0.0299241 | + | 0.0179972i | ||||
\(183\) | −0.0134569 | + | 0.299279i | −0.000994760 | + | 0.0221234i | ||||
\(184\) | −7.08987 | − | 2.58050i | −0.522672 | − | 0.190237i | ||||
\(185\) | 1.28688 | − | 1.07982i | 0.0946134 | − | 0.0793901i | ||||
\(186\) | 12.8275 | − | 1.67180i | 0.940557 | − | 0.122582i | ||||
\(187\) | 5.68898 | − | 2.07062i | 0.416020 | − | 0.151419i | ||||
\(188\) | −1.70253 | −0.124169 | ||||||||
\(189\) | −5.43791 | − | 12.6265i | −0.395550 | − | 0.918445i | ||||
\(190\) | 1.15638 | 0.0838929 | ||||||||
\(191\) | −15.3728 | + | 5.59525i | −1.11234 | + | 0.404858i | −0.831851 | − | 0.554999i | \(-0.812718\pi\) |
−0.280488 | + | 0.959858i | \(0.590496\pi\) | |||||||
\(192\) | 0.664908 | − | 1.59934i | 0.0479856 | − | 0.115423i | ||||
\(193\) | 15.3852 | − | 12.9097i | 1.10745 | − | 0.929261i | 0.109546 | − | 0.993982i | \(-0.465060\pi\) |
0.997903 | + | 0.0647210i | \(0.0206157\pi\) | |||||||
\(194\) | −4.32582 | − | 1.57447i | −0.310576 | − | 0.113040i | ||||
\(195\) | 0.0944171 | − | 0.0489944i | 0.00676135 | − | 0.00350856i | ||||
\(196\) | −5.19812 | + | 4.68824i | −0.371294 | + | 0.334874i | ||||
\(197\) | 4.50532 | − | 7.80344i | 0.320991 | − | 0.555972i | −0.659702 | − | 0.751527i | \(-0.729318\pi\) |
0.980693 | + | 0.195555i | \(0.0626508\pi\) | |||||||
\(198\) | 1.10208 | + | 2.37957i | 0.0783217 | + | 0.169109i | ||||
\(199\) | 21.0854 | 1.49470 | 0.747351 | − | 0.664429i | \(-0.231325\pi\) | ||||
0.747351 | + | 0.664429i | \(0.231325\pi\) | |||||||
\(200\) | −4.58667 | + | 1.66941i | −0.324326 | + | 0.118045i | ||||
\(201\) | −3.34200 | − | 10.6477i | −0.235726 | − | 0.751034i | ||||
\(202\) | −2.88068 | − | 16.3371i | −0.202684 | − | 1.14948i | ||||
\(203\) | −7.08426 | − | 1.11902i | −0.497217 | − | 0.0785395i | ||||
\(204\) | 11.7082 | + | 2.61162i | 0.819735 | + | 0.182850i | ||||
\(205\) | 0.215618 | − | 1.22283i | 0.0150594 | − | 0.0854062i | ||||
\(206\) | −15.5252 | −1.08169 | ||||||||
\(207\) | 22.5433 | + | 2.03139i | 1.56687 | + | 0.141191i | ||||
\(208\) | 0.178054 | 0.0123458 | ||||||||
\(209\) | −2.75390 | + | 1.00234i | −0.190491 | + | 0.0693331i | ||||
\(210\) | 1.23787 | − | 0.982861i | 0.0854213 | − | 0.0678239i | ||||
\(211\) | −17.9188 | + | 15.0357i | −1.23358 | + | 1.03510i | −0.235587 | + | 0.971853i | \(0.575701\pi\) |
−0.997998 | + | 0.0632469i | \(0.979854\pi\) | |||||||
\(212\) | −1.93579 | − | 10.9784i | −0.132950 | − | 0.753999i | ||||
\(213\) | 6.21751 | − | 14.9553i | 0.426017 | − | 1.02472i | ||||
\(214\) | 11.2007 | + | 9.39847i | 0.765661 | + | 0.642466i | ||||
\(215\) | 1.52906 | + | 2.64840i | 0.104281 | + | 0.180620i | ||||
\(216\) | −0.698332 | + | 5.14901i | −0.0475155 | + | 0.350346i | ||||
\(217\) | 12.9699 | + | 14.9077i | 0.880457 | + | 1.01200i | ||||
\(218\) | −0.759978 | + | 4.31005i | −0.0514722 | + | 0.291914i | ||||
\(219\) | −7.85350 | + | 18.8905i | −0.530690 | + | 1.27650i | ||||
\(220\) | −0.230965 | + | 0.193803i | −0.0155717 | + | 0.0130662i | ||||
\(221\) | 0.214138 | + | 1.21444i | 0.0144045 | + | 0.0816918i | ||||
\(222\) | −7.48775 | + | 3.88550i | −0.502545 | + | 0.260778i | ||||
\(223\) | 3.54993 | − | 1.29207i | 0.237721 | − | 0.0865234i | −0.220412 | − | 0.975407i | \(-0.570740\pi\) |
0.458134 | + | 0.888883i | \(0.348518\pi\) | |||||||
\(224\) | 2.59693 | − | 0.505914i | 0.173515 | − | 0.0338028i | ||||
\(225\) | 12.0167 | − | 8.36770i | 0.801115 | − | 0.557847i | ||||
\(226\) | −4.88529 | + | 8.46157i | −0.324965 | + | 0.562855i | ||||
\(227\) | −18.7403 | + | 6.82093i | −1.24384 | + | 0.452721i | −0.878316 | − | 0.478081i | \(-0.841333\pi\) |
−0.365524 | + | 0.930802i | \(0.619110\pi\) | |||||||
\(228\) | −5.66764 | − | 1.26422i | −0.375348 | − | 0.0837251i | ||||
\(229\) | −3.67926 | + | 3.08727i | −0.243133 | + | 0.204013i | −0.756208 | − | 0.654331i | \(-0.772950\pi\) |
0.513076 | + | 0.858343i | \(0.328506\pi\) | |||||||
\(230\) | 0.451897 | + | 2.56283i | 0.0297972 | + | 0.168988i | ||||
\(231\) | −2.09603 | + | 3.41363i | −0.137909 | + | 0.224600i | ||||
\(232\) | 2.07659 | + | 1.74247i | 0.136335 | + | 0.114398i | ||||
\(233\) | 12.1202 | − | 20.9929i | 0.794024 | − | 1.37529i | −0.129433 | − | 0.991588i | \(-0.541316\pi\) |
0.923457 | − | 0.383701i | \(-0.125351\pi\) | |||||||
\(234\) | −0.516318 | + | 0.136908i | −0.0337527 | + | 0.00894997i | ||||
\(235\) | 0.293616 | + | 0.508559i | 0.0191534 | + | 0.0331747i | ||||
\(236\) | 3.83757 | + | 3.22010i | 0.249804 | + | 0.209611i | ||||
\(237\) | 0.690457 | + | 0.441133i | 0.0448500 | + | 0.0286547i | ||||
\(238\) | 6.57386 | + | 17.1042i | 0.426120 | + | 1.10870i | ||||
\(239\) | −2.10441 | − | 0.765942i | −0.136123 | − | 0.0495447i | 0.273060 | − | 0.961997i | \(-0.411964\pi\) |
−0.409183 | + | 0.912452i | \(0.634186\pi\) | |||||||
\(240\) | −0.592406 | + | 0.0772080i | −0.0382397 | + | 0.00498375i | ||||
\(241\) | 21.3949 | + | 17.9525i | 1.37817 | + | 1.15642i | 0.969885 | + | 0.243565i | \(0.0783168\pi\) |
0.408283 | + | 0.912855i | \(0.366128\pi\) | |||||||
\(242\) | −5.11795 | + | 8.86455i | −0.328994 | + | 0.569835i | ||||
\(243\) | −1.93414 | − | 15.4680i | −0.124075 | − | 0.992273i | ||||
\(244\) | 0.172964 | 0.0110729 | ||||||||
\(245\) | 2.29688 | + | 0.744189i | 0.146742 | + | 0.0475445i | ||||
\(246\) | −2.39365 | + | 5.75758i | −0.152613 | + | 0.367090i | ||||
\(247\) | −0.103659 | − | 0.587879i | −0.00659566 | − | 0.0374058i | ||||
\(248\) | −1.29691 | − | 7.35512i | −0.0823536 | − | 0.467051i | ||||
\(249\) | −2.13235 | + | 1.10651i | −0.135132 | + | 0.0701220i | ||||
\(250\) | 2.61080 | + | 2.19072i | 0.165121 | + | 0.138553i | ||||
\(251\) | −6.50629 | + | 11.2692i | −0.410673 | + | 0.711307i | −0.994963 | − | 0.100238i | \(-0.968040\pi\) |
0.584290 | + | 0.811545i | \(0.301373\pi\) | |||||||
\(252\) | −7.14154 | + | 3.46386i | −0.449875 | + | 0.218203i | ||||
\(253\) | −3.29761 | − | 5.71162i | −0.207319 | − | 0.359087i | ||||
\(254\) | −1.65577 | + | 9.39036i | −0.103893 | + | 0.589204i | ||||
\(255\) | −1.23907 | − | 3.94772i | −0.0775935 | − | 0.247216i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −5.22533 | + | 4.38457i | −0.325947 | + | 0.273502i | −0.791046 | − | 0.611757i | \(-0.790463\pi\) |
0.465099 | + | 0.885259i | \(0.346019\pi\) | |||||||
\(258\) | −4.59879 | − | 14.6519i | −0.286308 | − | 0.912190i | ||||
\(259\) | −11.2729 | − | 6.24255i | −0.700465 | − | 0.387893i | ||||
\(260\) | −0.0307070 | − | 0.0531861i | −0.00190437 | − | 0.00329846i | ||||
\(261\) | −7.36148 | − | 3.45606i | −0.455664 | − | 0.213925i | ||||
\(262\) | 0.215066 | + | 0.372506i | 0.0132868 | + | 0.0230135i | ||||
\(263\) | 2.12278 | − | 12.0389i | 0.130896 | − | 0.742351i | −0.846733 | − | 0.532018i | \(-0.821434\pi\) |
0.977630 | − | 0.210333i | \(-0.0674549\pi\) | |||||||
\(264\) | 1.34388 | − | 0.697358i | 0.0827099 | − | 0.0429194i | ||||
\(265\) | −2.94549 | + | 2.47156i | −0.180940 | + | 0.151827i | ||||
\(266\) | −3.18225 | − | 8.27974i | −0.195116 | − | 0.507664i | ||||
\(267\) | 13.9040 | + | 18.1690i | 0.850913 | + | 1.11192i | ||||
\(268\) | −6.05460 | + | 2.20369i | −0.369843 | + | 0.134612i | ||||
\(269\) | −12.8210 | + | 22.2066i | −0.781711 | + | 1.35396i | 0.149234 | + | 0.988802i | \(0.452319\pi\) |
−0.930945 | + | 0.365161i | \(0.881014\pi\) | |||||||
\(270\) | 1.65849 | − | 0.679398i | 0.100932 | − | 0.0413468i | ||||
\(271\) | −8.25642 | − | 14.3005i | −0.501542 | − | 0.868696i | −0.999998 | − | 0.00178119i | \(-0.999433\pi\) |
0.498457 | − | 0.866915i | \(-0.333900\pi\) | |||||||
\(272\) | 1.20266 | − | 6.82062i | 0.0729219 | − | 0.413561i | ||||
\(273\) | −0.610627 | − | 0.541201i | −0.0369569 | − | 0.0327550i | ||||
\(274\) | 2.55930 | + | 0.931510i | 0.154613 | + | 0.0562746i | ||||
\(275\) | −4.00935 | − | 1.45928i | −0.241773 | − | 0.0879981i | ||||
\(276\) | 0.587005 | − | 13.0549i | 0.0353335 | − | 0.785814i | ||||
\(277\) | −4.06601 | + | 23.0595i | −0.244303 | + | 1.38551i | 0.577803 | + | 0.816177i | \(0.303910\pi\) |
−0.822106 | + | 0.569335i | \(0.807201\pi\) | |||||||
\(278\) | 2.44105 | 0.146404 | ||||||||
\(279\) | 9.41622 | + | 20.3311i | 0.563734 | + | 1.21719i | ||||
\(280\) | −0.598985 | − | 0.688475i | −0.0357962 | − | 0.0411443i | ||||
\(281\) | −0.782905 | − | 0.656935i | −0.0467042 | − | 0.0391895i | 0.619137 | − | 0.785283i | \(-0.287483\pi\) |
−0.665841 | + | 0.746094i | \(0.731927\pi\) | |||||||
\(282\) | −0.883081 | − | 2.81353i | −0.0525867 | − | 0.167543i | ||||
\(283\) | −9.35009 | − | 3.40315i | −0.555805 | − | 0.202297i | 0.0488187 | − | 0.998808i | \(-0.484454\pi\) |
−0.604624 | + | 0.796511i | \(0.706677\pi\) | |||||||
\(284\) | −8.78700 | − | 3.19821i | −0.521412 | − | 0.189779i | ||||
\(285\) | 0.599803 | + | 1.91100i | 0.0355293 | + | 0.113198i | ||||
\(286\) | 0.119229 | + | 0.100045i | 0.00705015 | + | 0.00591578i | ||||
\(287\) | −9.34886 | + | 1.82127i | −0.551846 | + | 0.107506i | ||||
\(288\) | 2.98789 | + | 0.269241i | 0.176063 | + | 0.0158652i | ||||
\(289\) | 30.9672 | 1.82160 | ||||||||
\(290\) | 0.162362 | − | 0.920799i | 0.00953421 | − | 0.0540712i | ||||
\(291\) | 0.358156 | − | 7.96535i | 0.0209955 | − | 0.466937i | ||||
\(292\) | 11.0991 | + | 4.03974i | 0.649525 | + | 0.236408i | ||||
\(293\) | −5.48906 | − | 1.99786i | −0.320675 | − | 0.116716i | 0.176667 | − | 0.984271i | \(-0.443468\pi\) |
−0.497342 | + | 0.867555i | \(0.665691\pi\) | |||||||
\(294\) | −10.4438 | − | 6.15847i | −0.609096 | − | 0.359169i | ||||
\(295\) | 0.300047 | − | 1.70165i | 0.0174694 | − | 0.0990739i | ||||
\(296\) | 2.43522 | + | 4.21792i | 0.141544 | + | 0.245162i | ||||
\(297\) | −3.36075 | + | 3.05552i | −0.195010 | + | 0.177299i | ||||
\(298\) | 4.31786 | − | 7.47875i | 0.250127 | − | 0.433232i | ||||
\(299\) | 1.26238 | − | 0.459468i | 0.0730051 | − | 0.0265717i | ||||
\(300\) | −5.13786 | − | 6.71385i | −0.296634 | − | 0.387624i | ||||
\(301\) | 14.7548 | − | 18.2362i | 0.850455 | − | 1.05112i | ||||
\(302\) | −0.211864 | + | 0.177775i | −0.0121914 | + | 0.0102298i | ||||
\(303\) | 25.5039 | − | 13.2344i | 1.46516 | − | 0.760295i | ||||
\(304\) | −0.582178 | + | 3.30170i | −0.0333902 | + | 0.189365i | ||||
\(305\) | −0.0298292 | − | 0.0516656i | −0.00170801 | − | 0.00295837i | ||||
\(306\) | 1.75703 | + | 20.7031i | 0.100443 | + | 1.18352i | ||||
\(307\) | 5.06341 | + | 8.77008i | 0.288984 | + | 0.500535i | 0.973567 | − | 0.228400i | \(-0.0733492\pi\) |
−0.684584 | + | 0.728934i | \(0.740016\pi\) | |||||||
\(308\) | 2.02323 | + | 1.12039i | 0.115284 | + | 0.0638403i | ||||
\(309\) | −8.05275 | − | 25.6564i | −0.458105 | − | 1.45954i | ||||
\(310\) | −1.97337 | + | 1.65586i | −0.112080 | + | 0.0940463i | ||||
\(311\) | −25.4688 | − | 9.26990i | −1.44421 | − | 0.525648i | −0.503239 | − | 0.864147i | \(-0.667858\pi\) |
−0.940967 | + | 0.338500i | \(0.890081\pi\) | |||||||
\(312\) | 0.0923544 | + | 0.294245i | 0.00522854 | + | 0.0166583i | ||||
\(313\) | −5.42946 | + | 30.7920i | −0.306891 | + | 1.74047i | 0.307575 | + | 0.951524i | \(0.400483\pi\) |
−0.614466 | + | 0.788943i | \(0.710629\pi\) | |||||||
\(314\) | 8.20326 | + | 14.2085i | 0.462937 | + | 0.801830i | ||||
\(315\) | 2.26631 | + | 1.53586i | 0.127692 | + | 0.0865360i | ||||
\(316\) | 0.236525 | − | 0.409673i | 0.0133056 | − | 0.0230459i | ||||
\(317\) | −13.9059 | − | 11.6685i | −0.781035 | − | 0.655366i | 0.162474 | − | 0.986713i | \(-0.448053\pi\) |
−0.943509 | + | 0.331346i | \(0.892497\pi\) | |||||||
\(318\) | 17.1384 | − | 8.89338i | 0.961074 | − | 0.498716i | ||||
\(319\) | 0.411475 | + | 2.33359i | 0.0230382 | + | 0.130656i | ||||
\(320\) | 0.0598945 | + | 0.339678i | 0.00334820 | + | 0.0189886i | ||||
\(321\) | −9.72190 | + | 23.3847i | −0.542623 | + | 1.30520i | ||||
\(322\) | 17.1064 | − | 10.2882i | 0.953302 | − | 0.573341i | ||||
\(323\) | −23.2198 | −1.29198 | ||||||||
\(324\) | −8.87128 | + | 1.51670i | −0.492849 | + | 0.0842610i | ||||
\(325\) | 0.434543 | − | 0.752650i | 0.0241041 | − | 0.0417495i | ||||
\(326\) | 16.2426 | + | 13.6291i | 0.899592 | + | 0.754847i | ||||
\(327\) | −7.51682 | + | 0.979663i | −0.415681 | + | 0.0541755i | ||||
\(328\) | 3.38286 | + | 1.23126i | 0.186787 | + | 0.0679850i | ||||
\(329\) | 2.83329 | − | 3.50180i | 0.156204 | − | 0.193061i | ||||
\(330\) | −0.440071 | − | 0.281161i | −0.0242251 | − | 0.0154774i | ||||
\(331\) | −11.5333 | − | 9.67762i | −0.633930 | − | 0.531930i | 0.268218 | − | 0.963358i | \(-0.413565\pi\) |
−0.902147 | + | 0.431428i | \(0.858010\pi\) | |||||||
\(332\) | 0.693497 | + | 1.20117i | 0.0380606 | + | 0.0659229i | ||||
\(333\) | −10.3048 | − | 10.3586i | −0.564702 | − | 0.567648i | ||||
\(334\) | −0.468500 | + | 0.811466i | −0.0256352 | + | 0.0444014i | ||||
\(335\) | 1.70243 | + | 1.42851i | 0.0930139 | + | 0.0780479i | ||||
\(336\) | 2.18305 | + | 4.02918i | 0.119095 | + | 0.219810i | ||||
\(337\) | −1.67610 | − | 9.50563i | −0.0913030 | − | 0.517805i | −0.995818 | − | 0.0913625i | \(-0.970878\pi\) |
0.904515 | − | 0.426442i | \(-0.140233\pi\) | |||||||
\(338\) | 9.93429 | − | 8.33586i | 0.540354 | − | 0.453411i | ||||
\(339\) | −16.5172 | − | 3.68432i | −0.897092 | − | 0.200105i | ||||
\(340\) | −2.24478 | + | 0.817035i | −0.121741 | + | 0.0443099i | ||||
\(341\) | 3.26426 | − | 5.65386i | 0.176770 | − | 0.306174i | ||||
\(342\) | −0.850534 | − | 10.0219i | −0.0459916 | − | 0.541920i | ||||
\(343\) | −0.992356 | − | 18.4937i | −0.0535822 | − | 0.998563i | ||||
\(344\) | −8.33150 | + | 3.03242i | −0.449204 | + | 0.163497i | ||||
\(345\) | −4.00085 | + | 2.07610i | −0.215398 | + | 0.111773i | ||||
\(346\) | 2.14972 | + | 12.1917i | 0.115570 | + | 0.655428i | ||||
\(347\) | −20.6356 | + | 17.3153i | −1.10778 | + | 0.929536i | −0.997923 | − | 0.0644121i | \(-0.979483\pi\) |
−0.109854 | + | 0.993948i | \(0.535038\pi\) | |||||||
\(348\) | −1.80243 | + | 4.33549i | −0.0966204 | + | 0.232407i | ||||
\(349\) | 4.71314 | − | 26.7296i | 0.252289 | − | 1.43080i | −0.550649 | − | 0.834737i | \(-0.685620\pi\) |
0.802937 | − | 0.596063i | \(-0.203269\pi\) | |||||||
\(350\) | 4.19931 | − | 12.2122i | 0.224462 | − | 0.652768i | ||||
\(351\) | −0.494058 | − | 0.782234i | −0.0263708 | − | 0.0417526i | ||||
\(352\) | −0.437065 | − | 0.757020i | −0.0232957 | − | 0.0403493i | ||||
\(353\) | −5.09416 | − | 4.27451i | −0.271135 | − | 0.227509i | 0.497075 | − | 0.867708i | \(-0.334408\pi\) |
−0.768209 | + | 0.640199i | \(0.778852\pi\) | |||||||
\(354\) | −3.33092 | + | 8.01205i | −0.177036 | + | 0.425836i | ||||
\(355\) | 0.560069 | + | 3.17631i | 0.0297254 | + | 0.168581i | ||||
\(356\) | 10.1187 | − | 8.49059i | 0.536289 | − | 0.450000i | ||||
\(357\) | −24.8560 | + | 19.7355i | −1.31552 | + | 1.04451i | ||||
\(358\) | 7.98025 | − | 2.90457i | 0.421769 | − | 0.153512i | ||||
\(359\) | 2.32368 | 0.122639 | 0.0613196 | − | 0.998118i | \(-0.480469\pi\) | ||||
0.0613196 | + | 0.998118i | \(0.480469\pi\) | |||||||
\(360\) | −0.434865 | − | 0.938942i | −0.0229194 | − | 0.0494866i | ||||
\(361\) | −7.75988 | −0.408415 | ||||||||
\(362\) | 0.988510 | − | 5.60612i | 0.0519549 | − | 0.294651i | ||||
\(363\) | −17.3038 | − | 3.85979i | −0.908216 | − | 0.202586i | ||||
\(364\) | −0.296311 | + | 0.366226i | −0.0155309 | + | 0.0191954i | ||||
\(365\) | −0.707438 | − | 4.01208i | −0.0370290 | − | 0.210002i | ||||
\(366\) | 0.0897142 | + | 0.285833i | 0.00468944 | + | 0.0149407i | ||||
\(367\) | 16.2100 | − | 5.89997i | 0.846157 | − | 0.307976i | 0.117684 | − | 0.993051i | \(-0.462453\pi\) |
0.728472 | + | 0.685075i | \(0.240231\pi\) | |||||||
\(368\) | −7.54488 | −0.393304 | ||||||||
\(369\) | −10.7563 | − | 0.969258i | −0.559951 | − | 0.0504576i | ||||
\(370\) | 0.839952 | − | 1.45484i | 0.0436670 | − | 0.0756335i | ||||
\(371\) | 25.8021 | + | 14.2883i | 1.33958 | + | 0.741813i | ||||
\(372\) | 11.4821 | − | 5.95824i | 0.595319 | − | 0.308920i | ||||
\(373\) | −9.27459 | − | 3.37567i | −0.480220 | − | 0.174786i | 0.0905564 | − | 0.995891i | \(-0.471135\pi\) |
−0.570776 | + | 0.821106i | \(0.693358\pi\) | |||||||
\(374\) | 4.63770 | − | 3.89149i | 0.239810 | − | 0.201224i | ||||
\(375\) | −2.26611 | + | 5.45080i | −0.117021 | + | 0.281478i | ||||
\(376\) | −1.59985 | + | 0.582298i | −0.0825060 | + | 0.0300297i | ||||
\(377\) | −0.482667 | −0.0248586 | ||||||||
\(378\) | −9.42849 | − | 10.0052i | −0.484949 | − | 0.514611i | ||||
\(379\) | 3.71099 | 0.190621 | 0.0953104 | − | 0.995448i | \(-0.469616\pi\) | ||||
0.0953104 | + | 0.995448i | \(0.469616\pi\) | |||||||
\(380\) | 1.08665 | − | 0.395507i | 0.0557437 | − | 0.0202891i | ||||
\(381\) | −16.3770 | + | 2.13440i | −0.839019 | + | 0.109349i | ||||
\(382\) | −12.5320 | + | 10.5156i | −0.641195 | + | 0.538027i | ||||
\(383\) | 8.71676 | + | 3.17264i | 0.445406 | + | 0.162114i | 0.554979 | − | 0.831864i | \(-0.312726\pi\) |
−0.109573 | + | 0.993979i | \(0.534948\pi\) | |||||||
\(384\) | 0.0778017 | − | 1.73030i | 0.00397030 | − | 0.0882991i | ||||
\(385\) | −0.0142537 | − | 0.797577i | −0.000726433 | − | 0.0406483i | ||||
\(386\) | 10.0420 | − | 17.3932i | 0.511123 | − | 0.885290i | ||||
\(387\) | 21.8279 | − | 15.1996i | 1.10957 | − | 0.772638i | ||||
\(388\) | −4.60344 | −0.233704 | ||||||||
\(389\) | 1.90376 | − | 0.692912i | 0.0965244 | − | 0.0351320i | −0.293307 | − | 0.956018i | \(-0.594756\pi\) |
0.389831 | + | 0.920886i | \(0.372533\pi\) | |||||||
\(390\) | 0.0719659 | − | 0.0783322i | 0.00364414 | − | 0.00396651i | ||||
\(391\) | −9.07392 | − | 51.4607i | −0.458888 | − | 2.60248i | ||||
\(392\) | −3.28116 | + | 6.18337i | −0.165723 | + | 0.312307i | ||||
\(393\) | −0.504036 | + | 0.548625i | −0.0254253 | + | 0.0276745i | ||||
\(394\) | 1.56468 | − | 8.87375i | 0.0788275 | − | 0.447053i | ||||
\(395\) | −0.163164 | −0.00820966 | ||||||||
\(396\) | 1.84948 | + | 1.85913i | 0.0929399 | + | 0.0934248i | ||||
\(397\) | −17.3648 | −0.871516 | −0.435758 | − | 0.900064i | \(-0.643520\pi\) | ||||
−0.435758 | + | 0.900064i | \(0.643520\pi\) | |||||||
\(398\) | 19.8138 | − | 7.21162i | 0.993175 | − | 0.361486i | ||||
\(399\) | 12.0322 | − | 9.55347i | 0.602363 | − | 0.478272i | ||||
\(400\) | −3.73909 | + | 3.13747i | −0.186954 | + | 0.156873i | ||||
\(401\) | −2.98995 | − | 16.9568i | −0.149311 | − | 0.846784i | −0.963804 | − | 0.266611i | \(-0.914096\pi\) |
0.814493 | − | 0.580173i | \(-0.197015\pi\) | |||||||
\(402\) | −6.78219 | − | 8.86257i | −0.338265 | − | 0.442025i | ||||
\(403\) | 1.01869 | + | 0.854784i | 0.0507447 | + | 0.0425798i | ||||
\(404\) | −8.29457 | − | 14.3666i | −0.412670 | − | 0.714766i | ||||
\(405\) | 1.98298 | + | 2.38836i | 0.0985353 | + | 0.118678i | ||||
\(406\) | −7.03975 | + | 1.37143i | −0.349377 | + | 0.0680628i | ||||
\(407\) | −0.739290 | + | 4.19272i | −0.0366452 | + | 0.207825i | ||||
\(408\) | 11.8953 | − | 1.55031i | 0.588905 | − | 0.0767517i | ||||
\(409\) | −12.4541 | + | 10.4503i | −0.615818 | + | 0.516733i | −0.896486 | − | 0.443072i | \(-0.853888\pi\) |
0.280668 | + | 0.959805i | \(0.409444\pi\) | |||||||
\(410\) | −0.215618 | − | 1.22283i | −0.0106486 | − | 0.0603913i | ||||
\(411\) | −0.211897 | + | 4.71257i | −0.0104521 | + | 0.232454i | ||||
\(412\) | −14.5889 | + | 5.30994i | −0.718745 | + | 0.261602i | ||||
\(413\) | −13.0096 | + | 2.53442i | −0.640159 | + | 0.124711i | ||||
\(414\) | 21.8785 | − | 5.80138i | 1.07527 | − | 0.285122i | ||||
\(415\) | 0.239200 | − | 0.414306i | 0.0117419 | − | 0.0203375i | ||||
\(416\) | 0.167316 | − | 0.0608979i | 0.00820333 | − | 0.00298577i | ||||
\(417\) | 1.26614 | + | 4.03398i | 0.0620033 | + | 0.197545i | ||||
\(418\) | −2.24500 | + | 1.88378i | −0.109806 | + | 0.0921385i | ||||
\(419\) | 3.14062 | + | 17.8113i | 0.153429 | + | 0.870141i | 0.960208 | + | 0.279287i | \(0.0900980\pi\) |
−0.806778 | + | 0.590854i | \(0.798791\pi\) | |||||||
\(420\) | 0.827061 | − | 1.34696i | 0.0403565 | − | 0.0657252i | ||||
\(421\) | 11.5132 | + | 9.66070i | 0.561118 | + | 0.470834i | 0.878685 | − | 0.477402i | \(-0.158421\pi\) |
−0.317567 | + | 0.948236i | \(0.602866\pi\) | |||||||
\(422\) | −11.6957 | + | 20.2575i | −0.569338 | + | 0.986122i | ||||
\(423\) | 4.19149 | − | 2.91869i | 0.203797 | − | 0.141912i | ||||
\(424\) | −5.57388 | − | 9.65424i | −0.270691 | − | 0.468851i | ||||
\(425\) | −25.8963 | − | 21.7296i | −1.25616 | − | 1.05404i | ||||
\(426\) | 0.727518 | − | 16.1799i | 0.0352484 | − | 0.783920i | ||||
\(427\) | −0.287841 | + | 0.355756i | −0.0139296 | + | 0.0172162i | ||||
\(428\) | 13.7396 | + | 5.00082i | 0.664130 | + | 0.241724i | ||||
\(429\) | −0.103488 | + | 0.248925i | −0.00499643 | + | 0.0120182i | ||||
\(430\) | 2.34265 | + | 1.96572i | 0.112973 | + | 0.0947953i | ||||
\(431\) | 14.4158 | − | 24.9690i | 0.694387 | − | 1.20271i | −0.276000 | − | 0.961158i | \(-0.589009\pi\) |
0.970387 | − | 0.241556i | \(-0.0776576\pi\) | |||||||
\(432\) | 1.10485 | + | 5.07733i | 0.0531571 | + | 0.244283i | ||||
\(433\) | −8.60887 | −0.413716 | −0.206858 | − | 0.978371i | \(-0.566324\pi\) | ||||
−0.206858 | + | 0.978371i | \(0.566324\pi\) | |||||||
\(434\) | 17.2865 | + | 9.57266i | 0.829778 | + | 0.459502i | ||||
\(435\) | 1.60589 | − | 0.209295i | 0.0769967 | − | 0.0100349i | ||||
\(436\) | 0.759978 | + | 4.31005i | 0.0363964 | + | 0.206414i | ||||
\(437\) | 4.39246 | + | 24.9109i | 0.210120 | + | 1.19165i | ||||
\(438\) | −0.918947 | + | 20.4373i | −0.0439090 | + | 0.976532i | ||||
\(439\) | −18.8911 | − | 15.8516i | −0.901625 | − | 0.756553i | 0.0688821 | − | 0.997625i | \(-0.478057\pi\) |
−0.970507 | + | 0.241071i | \(0.922501\pi\) | |||||||
\(440\) | −0.150752 | + | 0.261110i | −0.00718682 | + | 0.0124479i | ||||
\(441\) | 4.76017 | − | 20.4534i | 0.226675 | − | 0.973970i | ||||
\(442\) | 0.616585 | + | 1.06796i | 0.0293280 | + | 0.0507975i | ||||
\(443\) | 1.64737 | − | 9.34269i | 0.0782689 | − | 0.443885i | −0.920338 | − | 0.391123i | \(-0.872087\pi\) |
0.998607 | − | 0.0527615i | \(-0.0168023\pi\) | |||||||
\(444\) | −5.70726 | + | 6.21214i | −0.270855 | + | 0.294815i | ||||
\(445\) | −4.28127 | − | 1.55825i | −0.202952 | − | 0.0738684i | ||||
\(446\) | 2.89393 | − | 2.42830i | 0.137032 | − | 0.114983i | ||||
\(447\) | 14.5987 | + | 3.25639i | 0.690496 | + | 0.154022i | ||||
\(448\) | 2.26728 | − | 1.36361i | 0.107119 | − | 0.0644243i | ||||
\(449\) | −9.94850 | − | 17.2313i | −0.469499 | − | 0.813196i | 0.529893 | − | 0.848064i | \(-0.322232\pi\) |
−0.999392 | + | 0.0348687i | \(0.988899\pi\) | |||||||
\(450\) | 8.43011 | − | 11.9730i | 0.397399 | − | 0.564414i | ||||
\(451\) | 1.57342 | + | 2.72524i | 0.0740895 | + | 0.128327i | ||||
\(452\) | −1.69664 | + | 9.62214i | −0.0798034 | + | 0.452587i | ||||
\(453\) | −0.403676 | − | 0.257908i | −0.0189663 | − | 0.0121176i | ||||
\(454\) | −15.2773 | + | 12.8191i | −0.716998 | + | 0.601632i | ||||
\(455\) | 0.160496 | + | 0.0253517i | 0.00752418 | + | 0.00118850i | ||||
\(456\) | −5.75823 | + | 0.750466i | −0.269654 | + | 0.0351438i | ||||
\(457\) | −25.8542 | + | 9.41015i | −1.20941 | + | 0.440188i | −0.866498 | − | 0.499180i | \(-0.833634\pi\) |
−0.342909 | + | 0.939369i | \(0.611412\pi\) | |||||||
\(458\) | −2.40147 | + | 4.15947i | −0.112213 | + | 0.194359i | ||||
\(459\) | −33.3018 | + | 13.6421i | −1.55439 | + | 0.636756i | ||||
\(460\) | 1.30118 | + | 2.25372i | 0.0606680 | + | 0.105080i | ||||
\(461\) | 1.54638 | − | 8.76995i | 0.0720220 | − | 0.408457i | −0.927388 | − | 0.374102i | \(-0.877951\pi\) |
0.999410 | − | 0.0343554i | \(-0.0109378\pi\) | |||||||
\(462\) | −0.802095 | + | 3.92465i | −0.0373168 | + | 0.182591i | ||||
\(463\) | 37.9447 | + | 13.8107i | 1.76344 | + | 0.641840i | 0.999992 | − | 0.00402929i | \(-0.00128257\pi\) |
0.763448 | + | 0.645869i | \(0.223505\pi\) | |||||||
\(464\) | 2.54731 | + | 0.927147i | 0.118256 | + | 0.0430417i | ||||
\(465\) | −3.75997 | − | 2.40225i | −0.174364 | − | 0.111401i | ||||
\(466\) | 4.20932 | − | 23.8722i | 0.194993 | − | 1.10586i | ||||
\(467\) | −23.0727 | −1.06768 | −0.533840 | − | 0.845586i | \(-0.679251\pi\) | ||||
−0.533840 | + | 0.845586i | \(0.679251\pi\) | |||||||
\(468\) | −0.438355 | + | 0.305243i | −0.0202629 | + | 0.0141099i | ||||
\(469\) | 5.54326 | − | 16.1206i | 0.255964 | − | 0.744379i | ||||
\(470\) | 0.449846 | + | 0.377466i | 0.0207499 | + | 0.0174112i | ||||
\(471\) | −19.2254 | + | 20.9262i | −0.885861 | + | 0.964227i | ||||
\(472\) | 4.70748 | + | 1.71338i | 0.216679 | + | 0.0788647i | ||||
\(473\) | −7.28282 | − | 2.65073i | −0.334864 | − | 0.121881i | ||||
\(474\) | 0.799694 | + | 0.178379i | 0.0367312 | + | 0.00819324i | ||||
\(475\) | 12.5358 | + | 10.5188i | 0.575181 | + | 0.482634i | ||||
\(476\) | 12.0274 | + | 13.8243i | 0.551275 | + | 0.633637i | ||||
\(477\) | 23.5864 | + | 23.7094i | 1.07995 | + | 1.08558i | ||||
\(478\) | −2.23946 | −0.102431 | ||||||||
\(479\) | −0.767672 | + | 4.35368i | −0.0350758 | + | 0.198925i | −0.997310 | − | 0.0732979i | \(-0.976648\pi\) |
0.962234 | + | 0.272223i | \(0.0877587\pi\) | |||||||
\(480\) | −0.530273 | + | 0.275167i | −0.0242036 | + | 0.0125596i | ||||
\(481\) | −0.814901 | − | 0.296600i | −0.0371563 | − | 0.0135238i | ||||
\(482\) | 26.2448 | + | 9.55231i | 1.19542 | + | 0.435096i | ||||
\(483\) | 25.8749 | + | 22.9330i | 1.17735 | + | 1.04349i | ||||
\(484\) | −1.77744 | + | 10.0804i | −0.0807929 | + | 0.458200i | ||||
\(485\) | 0.793907 | + | 1.37509i | 0.0360494 | + | 0.0624395i | ||||
\(486\) | −7.10787 | − | 13.8737i | −0.322420 | − | 0.629322i | ||||
\(487\) | 11.4644 | − | 19.8569i | 0.519502 | − | 0.899803i | −0.480242 | − | 0.877136i | \(-0.659451\pi\) |
0.999743 | − | 0.0226668i | \(-0.00721568\pi\) | |||||||
\(488\) | 0.162533 | − | 0.0591570i | 0.00735750 | − | 0.00267791i | ||||
\(489\) | −14.0981 | + | 33.9111i | −0.637540 | + | 1.53351i | ||||
\(490\) | 2.41289 | − | 0.0862699i | 0.109003 | − | 0.00389728i | ||||
\(491\) | 18.2266 | − | 15.2939i | 0.822554 | − | 0.690205i | −0.131014 | − | 0.991380i | \(-0.541823\pi\) |
0.953569 | + | 0.301175i | \(0.0973790\pi\) | |||||||
\(492\) | −0.280083 | + | 6.22903i | −0.0126271 | + | 0.280826i | ||||
\(493\) | −3.26016 | + | 18.4893i | −0.146830 | + | 0.832716i | ||||
\(494\) | −0.298474 | − | 0.516972i | −0.0134290 | − | 0.0232597i | ||||
\(495\) | 0.236377 | − | 0.873079i | 0.0106244 | − | 0.0392420i | ||||
\(496\) | −3.73429 | − | 6.46798i | −0.167675 | − | 0.290421i | ||||
\(497\) | 21.2012 | − | 12.7510i | 0.951005 | − | 0.571960i | ||||
\(498\) | −1.62530 | + | 1.76908i | −0.0728315 | + | 0.0792744i | ||||
\(499\) | −8.74284 | + | 7.33611i | −0.391383 | + | 0.328409i | −0.817152 | − | 0.576423i | \(-0.804448\pi\) |
0.425769 | + | 0.904832i | \(0.360004\pi\) | |||||||
\(500\) | 3.20261 | + | 1.16566i | 0.143225 | + | 0.0521297i | ||||
\(501\) | −1.58400 | − | 0.353327i | −0.0707681 | − | 0.0157855i | ||||
\(502\) | −2.25961 | + | 12.8149i | −0.100851 | + | 0.571956i | ||||
\(503\) | −6.01608 | − | 10.4202i | −0.268244 | − | 0.464612i | 0.700165 | − | 0.713981i | \(-0.253110\pi\) |
−0.968408 | + | 0.249370i | \(0.919777\pi\) | |||||||
\(504\) | −5.52614 | + | 5.69752i | −0.246154 | + | 0.253788i | ||||
\(505\) | −2.86095 | + | 4.95531i | −0.127311 | + | 0.220509i | ||||
\(506\) | −5.05223 | − | 4.23932i | −0.224599 | − | 0.188461i | ||||
\(507\) | 18.9283 | + | 12.0933i | 0.840637 | + | 0.537083i | ||||
\(508\) | 1.65577 | + | 9.39036i | 0.0734631 | + | 0.416630i | ||||
\(509\) | 5.78457 | + | 32.8059i | 0.256396 | + | 1.45410i | 0.792462 | + | 0.609921i | \(0.208799\pi\) |
−0.536066 | + | 0.844176i | \(0.680090\pi\) | |||||||
\(510\) | −2.51454 | − | 3.28586i | −0.111346 | − | 0.145500i | ||||
\(511\) | −26.7798 | + | 16.1061i | −1.18467 | + | 0.712492i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 16.1206 | − | 6.60379i | 0.711741 | − | 0.291564i | ||||
\(514\) | −3.41059 | + | 5.90732i | −0.150435 | + | 0.260561i | ||||
\(515\) | 4.10212 | + | 3.44209i | 0.180761 | + | 0.151676i | ||||
\(516\) | −9.33271 | − | 12.1954i | −0.410850 | − | 0.536874i | ||||
\(517\) | −1.39848 | − | 0.509005i | −0.0615051 | − | 0.0223860i | ||||
\(518\) | −12.7282 | − | 2.01052i | −0.559243 | − | 0.0883370i | ||||
\(519\) | −19.0325 | + | 9.87622i | −0.835432 | + | 0.433518i | ||||
\(520\) | −0.0470458 | − | 0.0394762i | −0.00206310 | − | 0.00173114i | ||||
\(521\) | 10.2487 | + | 17.7513i | 0.449003 | + | 0.777697i | 0.998321 | − | 0.0579167i | \(-0.0184458\pi\) |
−0.549318 | + | 0.835613i | \(0.685112\pi\) | |||||||
\(522\) | −8.09957 | − | 0.729857i | −0.354509 | − | 0.0319450i | ||||
\(523\) | −4.11749 | + | 7.13170i | −0.180045 | + | 0.311848i | −0.941896 | − | 0.335905i | \(-0.890958\pi\) |
0.761850 | + | 0.647753i | \(0.224291\pi\) | |||||||
\(524\) | 0.329501 | + | 0.276484i | 0.0143943 | + | 0.0120783i | ||||
\(525\) | 22.3595 | + | 0.605301i | 0.975849 | + | 0.0264175i | ||||
\(526\) | −2.12278 | − | 12.0389i | −0.0925578 | − | 0.524921i | ||||
\(527\) | 39.6246 | − | 33.2490i | 1.72607 | − | 1.44835i | ||||
\(528\) | 1.02432 | − | 1.11494i | 0.0445779 | − | 0.0485213i | ||||
\(529\) | −31.8793 | + | 11.6031i | −1.38606 | + | 0.504483i | ||||
\(530\) | −1.92253 | + | 3.32993i | −0.0835095 | + | 0.144643i | ||||
\(531\) | −14.9681 | − | 1.34879i | −0.649561 | − | 0.0585324i | ||||
\(532\) | −5.82217 | − | 6.69202i | −0.252423 | − | 0.290136i | ||||
\(533\) | −0.602330 | + | 0.219230i | −0.0260898 | + | 0.00949592i | ||||
\(534\) | 19.2797 | + | 12.3178i | 0.834313 | + | 0.533043i | ||||
\(535\) | −0.875742 | − | 4.96658i | −0.0378616 | − | 0.214724i | ||||
\(536\) | −4.93575 | + | 4.14159i | −0.213192 | + | 0.178889i | ||||
\(537\) | 8.93926 | + | 11.6813i | 0.385757 | + | 0.504085i | ||||
\(538\) | −4.45269 | + | 25.2525i | −0.191969 | + | 1.08871i | ||||
\(539\) | −5.67145 | + | 2.29691i | −0.244287 | + | 0.0989347i | ||||
\(540\) | 1.32610 | − | 1.20566i | 0.0570662 | − | 0.0518834i | ||||
\(541\) | −15.8713 | − | 27.4898i | −0.682358 | − | 1.18188i | −0.974259 | − | 0.225431i | \(-0.927621\pi\) |
0.291901 | − | 0.956449i | \(-0.405712\pi\) | |||||||
\(542\) | −12.6496 | − | 10.6142i | −0.543345 | − | 0.455921i | ||||
\(543\) | 9.77719 | − | 1.27426i | 0.419579 | − | 0.0546835i | ||||
\(544\) | −1.20266 | − | 6.82062i | −0.0515636 | − | 0.292432i | ||||
\(545\) | 1.15638 | − | 0.970320i | 0.0495340 | − | 0.0415640i | ||||
\(546\) | −0.758904 | − | 0.299716i | −0.0324781 | − | 0.0128267i | ||||
\(547\) | 9.28683 | − | 3.38013i | 0.397076 | − | 0.144524i | −0.135761 | − | 0.990742i | \(-0.543348\pi\) |
0.532837 | + | 0.846218i | \(0.321126\pi\) | |||||||
\(548\) | 2.72355 | 0.116344 | ||||||||
\(549\) | −0.425823 | + | 0.296517i | −0.0181737 | + | 0.0126550i | ||||
\(550\) | −4.26666 | −0.181931 | ||||||||
\(551\) | 1.57817 | − | 8.95022i | 0.0672321 | − | 0.381292i | ||||
\(552\) | −3.91344 | − | 12.4684i | −0.166567 | − | 0.530690i | ||||
\(553\) | 0.449010 | + | 1.16826i | 0.0190938 | + | 0.0496794i | ||||
\(554\) | 4.06601 | + | 23.0595i | 0.172748 | + | 0.979705i | ||||
\(555\) | 2.83989 | + | 0.633465i | 0.120547 | + | 0.0268891i | ||||
\(556\) | 2.29383 | − | 0.834887i | 0.0972802 | − | 0.0354071i | ||||
\(557\) | 35.8802 | 1.52029 | 0.760147 | − | 0.649751i | \(-0.225127\pi\) | ||||
0.760147 | + | 0.649751i | \(0.225127\pi\) | |||||||
\(558\) | 15.8020 | + | 15.8844i | 0.668952 | + | 0.672441i | ||||
\(559\) | 0.789329 | − | 1.36716i | 0.0333851 | − | 0.0578246i | ||||
\(560\) | −0.798335 | − | 0.442090i | −0.0337358 | − | 0.0186817i | ||||
\(561\) | 8.83646 | + | 5.64562i | 0.373075 | + | 0.238358i | ||||
\(562\) | −0.960375 | − | 0.349548i | −0.0405110 | − | 0.0147448i | ||||
\(563\) | −22.6450 | + | 19.0014i | −0.954373 | + | 0.800814i | −0.980029 | − | 0.198857i | \(-0.936277\pi\) |
0.0256557 | + | 0.999671i | \(0.491833\pi\) | |||||||
\(564\) | −1.79211 | − | 2.34182i | −0.0754614 | − | 0.0986085i | ||||
\(565\) | 3.16681 | − | 1.15263i | 0.133229 | − | 0.0484913i | ||||
\(566\) | −9.95016 | −0.418236 | ||||||||
\(567\) | 11.6437 | − | 20.7707i | 0.488991 | − | 0.872289i | ||||
\(568\) | −9.35093 | −0.392356 | ||||||||
\(569\) | 26.7769 | − | 9.74600i | 1.12255 | − | 0.408574i | 0.286966 | − | 0.957941i | \(-0.407353\pi\) |
0.835581 | + | 0.549367i | \(0.185131\pi\) | |||||||
\(570\) | 1.21723 | + | 1.59060i | 0.0509842 | + | 0.0666231i | ||||
\(571\) | 33.9081 | − | 28.4523i | 1.41901 | − | 1.19069i | 0.467142 | − | 0.884182i | \(-0.345284\pi\) |
0.951868 | − | 0.306509i | \(-0.0991609\pi\) | |||||||
\(572\) | 0.146256 | + | 0.0532328i | 0.00611526 | + | 0.00222577i | ||||
\(573\) | −23.8780 | − | 15.2556i | −0.997516 | − | 0.637314i | ||||
\(574\) | −8.16214 | + | 4.90893i | −0.340681 | + | 0.204895i | ||||
\(575\) | −18.4134 | + | 31.8929i | −0.767892 | + | 1.33003i | ||||
\(576\) | 2.89979 | − | 0.768916i | 0.120824 | − | 0.0320382i | ||||
\(577\) | 5.80082 | 0.241491 | 0.120746 | − | 0.992683i | \(-0.461471\pi\) | ||||
0.120746 | + | 0.992683i | \(0.461471\pi\) | |||||||
\(578\) | 29.0997 | − | 10.5914i | 1.21039 | − | 0.440545i | ||||
\(579\) | 33.9520 | + | 7.57332i | 1.41100 | + | 0.314737i | ||||
\(580\) | −0.162362 | − | 0.920799i | −0.00674170 | − | 0.0382341i | ||||
\(581\) | −3.62470 | − | 0.572550i | −0.150378 | − | 0.0237534i | ||||
\(582\) | −2.38775 | − | 7.60748i | −0.0989756 | − | 0.315340i | ||||
\(583\) | 1.69213 | − | 9.59655i | 0.0700809 | − | 0.397449i | ||||
\(584\) | 11.8114 | 0.488759 | ||||||||
\(585\) | 0.166777 | + | 0.0782982i | 0.00689537 | + | 0.00323723i | ||||
\(586\) | −5.84134 | −0.241304 | ||||||||
\(587\) | 25.5478 | − | 9.29864i | 1.05447 | − | 0.383796i | 0.244122 | − | 0.969744i | \(-0.421500\pi\) |
0.810348 | + | 0.585949i | \(0.199278\pi\) | |||||||
\(588\) | −11.9203 | − | 2.21508i | −0.491585 | − | 0.0913482i | ||||
\(589\) | −19.1813 | + | 16.0950i | −0.790351 | + | 0.663183i | ||||
\(590\) | −0.300047 | − | 1.70165i | −0.0123527 | − | 0.0700558i | ||||
\(591\) | 15.4760 | − | 2.01698i | 0.636598 | − | 0.0829674i | ||||
\(592\) | 3.73097 | + | 3.13066i | 0.153342 | + | 0.128669i | ||||
\(593\) | 6.64686 | + | 11.5127i | 0.272954 | + | 0.472770i | 0.969617 | − | 0.244629i | \(-0.0786661\pi\) |
−0.696663 | + | 0.717398i | \(0.745333\pi\) | |||||||
\(594\) | −2.11302 | + | 4.02069i | −0.0866983 | + | 0.164971i | ||||
\(595\) | 2.05520 | − | 5.97682i | 0.0842551 | − | 0.245026i | ||||
\(596\) | 1.49958 | − | 8.50452i | 0.0614250 | − | 0.348359i | ||||
\(597\) | 22.1948 | + | 29.0029i | 0.908374 | + | 1.18701i | ||||
\(598\) | 1.02910 | − | 0.863516i | 0.0420830 | − | 0.0353118i | ||||
\(599\) | −3.95210 | − | 22.4135i | −0.161478 | − | 0.915790i | −0.952621 | − | 0.304159i | \(-0.901625\pi\) |
0.791143 | − | 0.611631i | \(-0.209486\pi\) | |||||||
\(600\) | −7.12428 | − | 4.55171i | −0.290848 | − | 0.185823i | ||||
\(601\) | 28.4675 | − | 10.3613i | 1.16121 | − | 0.422647i | 0.311683 | − | 0.950186i | \(-0.399107\pi\) |
0.849531 | + | 0.527539i | \(0.176885\pi\) | |||||||
\(602\) | 7.62787 | − | 22.1829i | 0.310889 | − | 0.904108i | ||||
\(603\) | 11.1281 | − | 15.8049i | 0.453171 | − | 0.643626i | ||||
\(604\) | −0.138284 | + | 0.239516i | −0.00562671 | + | 0.00974575i | ||||
\(605\) | 3.31763 | − | 1.20752i | 0.134881 | − | 0.0490926i | ||||
\(606\) | 19.4394 | − | 21.1591i | 0.789673 | − | 0.859530i | ||||
\(607\) | 4.40384 | − | 3.69526i | 0.178746 | − | 0.149986i | −0.549025 | − | 0.835806i | \(-0.685001\pi\) |
0.727771 | + | 0.685820i | \(0.240556\pi\) | |||||||
\(608\) | 0.582178 | + | 3.30170i | 0.0236104 | + | 0.133901i | ||||
\(609\) | −5.91781 | − | 10.9223i | −0.239802 | − | 0.442593i | ||||
\(610\) | −0.0457009 | − | 0.0383476i | −0.00185038 | − | 0.00155265i | ||||
\(611\) | 0.151570 | − | 0.262528i | 0.00613189 | − | 0.0106207i | ||||
\(612\) | 8.73194 | + | 18.8536i | 0.352968 | + | 0.762112i | ||||
\(613\) | 3.46186 | + | 5.99611i | 0.139823 | + | 0.242181i | 0.927430 | − | 0.373998i | \(-0.122013\pi\) |
−0.787606 | + | 0.616179i | \(0.788680\pi\) | |||||||
\(614\) | 7.75759 | + | 6.50939i | 0.313071 | + | 0.262698i | ||||
\(615\) | 1.90896 | − | 0.990590i | 0.0769769 | − | 0.0399445i | ||||
\(616\) | 2.28441 | + | 0.360841i | 0.0920415 | + | 0.0145387i | ||||
\(617\) | 45.8449 | + | 16.6862i | 1.84565 | + | 0.671761i | 0.987338 | + | 0.158629i | \(0.0507073\pi\) |
0.858310 | + | 0.513132i | \(0.171515\pi\) | |||||||
\(618\) | −16.3421 | − | 21.3549i | −0.657376 | − | 0.859020i | ||||
\(619\) | −27.1910 | − | 22.8160i | −1.09290 | − | 0.917051i | −0.0959716 | − | 0.995384i | \(-0.530596\pi\) |
−0.996927 | + | 0.0783331i | \(0.975040\pi\) | |||||||
\(620\) | −1.28803 | + | 2.23093i | −0.0517284 | + | 0.0895962i | ||||
\(621\) | 20.9353 | + | 33.1466i | 0.840104 | + | 1.33013i | ||||
\(622\) | −27.1034 | −1.08675 | ||||||||
\(623\) | 0.624458 | + | 34.9422i | 0.0250184 | + | 1.39993i | ||||
\(624\) | 0.187422 | + | 0.244913i | 0.00750290 | + | 0.00980435i | ||||
\(625\) | 4.03378 | + | 22.8767i | 0.161351 | + | 0.915068i | ||||
\(626\) | 5.42946 | + | 30.7920i | 0.217005 | + | 1.23070i | ||||
\(627\) | −4.27751 | − | 2.73291i | −0.170827 | − | 0.109142i | ||||
\(628\) | 12.5681 | + | 10.5459i | 0.501523 | + | 0.420827i | ||||
\(629\) | −16.8659 | + | 29.2126i | −0.672489 | + | 1.16478i | ||||
\(630\) | 2.65493 | + | 0.668115i | 0.105775 | + | 0.0266183i | ||||
\(631\) | 10.1540 | + | 17.5873i | 0.404226 | + | 0.700140i | 0.994231 | − | 0.107259i | \(-0.0342075\pi\) |
−0.590005 | + | 0.807400i | \(0.700874\pi\) | |||||||
\(632\) | 0.0821443 | − | 0.465863i | 0.00326752 | − | 0.0185311i | ||||
\(633\) | −39.5433 | − | 8.82051i | −1.57170 | − | 0.350584i | ||||
\(634\) | −17.0582 | − | 6.20866i | −0.677466 | − | 0.246577i | ||||
\(635\) | 2.51943 | − | 2.11405i | 0.0999803 | − | 0.0838935i | ||||
\(636\) | 13.0631 | − | 14.2187i | 0.517987 | − | 0.563809i | ||||
\(637\) | −0.260150 | − | 1.21892i | −0.0103075 | − | 0.0482955i | ||||
\(638\) | 1.18480 | + | 2.05213i | 0.0469065 | + | 0.0812444i | ||||
\(639\) | 27.1157 | − | 7.19008i | 1.07268 | − | 0.284435i | ||||
\(640\) | 0.172459 | + | 0.298708i | 0.00681705 | + | 0.0118075i | ||||
\(641\) | −1.73860 | + | 9.86012i | −0.0686708 | + | 0.389451i | 0.931029 | + | 0.364945i | \(0.118912\pi\) |
−0.999700 | + | 0.0245058i | \(0.992199\pi\) | |||||||
\(642\) | −1.13757 | + | 25.2995i | −0.0448964 | + | 0.998491i | ||||
\(643\) | 34.3845 | − | 28.8520i | 1.35599 | − | 1.13781i | 0.378794 | − | 0.925481i | \(-0.376339\pi\) |
0.977198 | − | 0.212331i | \(-0.0681054\pi\) | |||||||
\(644\) | 12.5560 | − | 15.5185i | 0.494774 | − | 0.611515i | ||||
\(645\) | −2.03336 | + | 4.89097i | −0.0800637 | + | 0.192582i | ||||
\(646\) | −21.8194 | + | 7.94163i | −0.858474 | + | 0.312459i | ||||
\(647\) | −3.03773 | + | 5.26150i | −0.119425 | + | 0.206851i | −0.919540 | − | 0.392996i | \(-0.871439\pi\) |
0.800115 | + | 0.599847i | \(0.204772\pi\) | |||||||
\(648\) | −7.81754 | + | 4.45939i | −0.307102 | + | 0.175181i | ||||
\(649\) | 2.18952 | + | 3.79236i | 0.0859461 | + | 0.148863i | ||||
\(650\) | 0.150915 | − | 0.855882i | 0.00591938 | − | 0.0335704i | ||||
\(651\) | −6.85311 | + | 33.5322i | −0.268594 | + | 1.31423i | ||||
\(652\) | 19.9244 | + | 7.25191i | 0.780302 | + | 0.284007i | ||||
\(653\) | −35.4955 | − | 12.9193i | −1.38905 | − | 0.505572i | −0.464139 | − | 0.885762i | \(-0.653636\pi\) |
−0.924908 | + | 0.380190i | \(0.875859\pi\) | |||||||
\(654\) | −6.72844 | + | 3.49149i | −0.263103 | + | 0.136528i | ||||
\(655\) | 0.0257626 | − | 0.146107i | 0.00100663 | − | 0.00570886i | ||||
\(656\) | 3.59996 | 0.140555 | ||||||||
\(657\) | −34.2506 | + | 9.08198i | −1.33624 | + | 0.354322i | ||||
\(658\) | 1.46474 | − | 4.25966i | 0.0571014 | − | 0.166059i | ||||
\(659\) | −5.02289 | − | 4.21470i | −0.195664 | − | 0.164181i | 0.539692 | − | 0.841862i | \(-0.318541\pi\) |
−0.735356 | + | 0.677681i | \(0.762985\pi\) | |||||||
\(660\) | −0.509694 | − | 0.113692i | −0.0198398 | − | 0.00442546i | ||||
\(661\) | −29.0420 | − | 10.5704i | −1.12960 | − | 0.411142i | −0.291455 | − | 0.956585i | \(-0.594139\pi\) |
−0.838148 | + | 0.545443i | \(0.816362\pi\) | |||||||
\(662\) | −14.1477 | − | 5.14935i | −0.549867 | − | 0.200135i | ||||
\(663\) | −1.44505 | + | 1.57288i | −0.0561211 | + | 0.0610857i | ||||
\(664\) | 1.06250 | + | 0.891542i | 0.0412330 | + | 0.0345986i | ||||
\(665\) | −0.994874 | + | 2.89323i | −0.0385796 | + | 0.112195i | ||||
\(666\) | −13.2262 | − | 6.20944i | −0.512506 | − | 0.240611i | ||||
\(667\) | 20.4526 | 0.791929 | ||||||||
\(668\) | −0.162708 | + | 0.922765i | −0.00629538 | + | 0.0357029i | ||||
\(669\) | 5.51396 | + | 3.52287i | 0.213182 | + | 0.136202i | ||||
\(670\) | 2.08834 | + | 0.760095i | 0.0806797 | + | 0.0293650i | ||||
\(671\) | 0.142075 | + | 0.0517110i | 0.00548473 | + | 0.00199628i | ||||
\(672\) | 3.42946 | + | 3.03954i | 0.132294 | + | 0.117253i | ||||
\(673\) | −6.01881 | + | 34.1344i | −0.232008 | + | 1.31578i | 0.616815 | + | 0.787108i | \(0.288423\pi\) |
−0.848824 | + | 0.528676i | \(0.822689\pi\) | |||||||
\(674\) | −4.82614 | − | 8.35911i | −0.185896 | − | 0.321981i | ||||
\(675\) | 24.1588 | + | 7.72101i | 0.929872 | + | 0.297182i | ||||
\(676\) | 6.48415 | − | 11.2309i | 0.249390 | − | 0.431957i | ||||
\(677\) | 33.7765 | − | 12.2936i | 1.29814 | − | 0.472483i | 0.401746 | − | 0.915751i | \(-0.368403\pi\) |
0.896389 | + | 0.443268i | \(0.146181\pi\) | |||||||
\(678\) | −16.7812 | + | 2.18709i | −0.644479 | + | 0.0839945i | ||||
\(679\) | 7.66091 | − | 9.46849i | 0.293999 | − | 0.363367i | ||||
\(680\) | −1.82996 | + | 1.53552i | −0.0701759 | + | 0.0588846i | ||||
\(681\) | −29.1086 | − | 18.5975i | −1.11544 | − | 0.712657i | ||||
\(682\) | 1.13367 | − | 6.42934i | 0.0434103 | − | 0.246192i | ||||
\(683\) | −17.9003 | − | 31.0043i | −0.684937 | − | 1.18635i | −0.973457 | − | 0.228872i | \(-0.926496\pi\) |
0.288519 | − | 0.957474i | \(-0.406837\pi\) | |||||||
\(684\) | −4.22692 | − | 9.12657i | −0.161620 | − | 0.348963i | ||||
\(685\) | −0.469702 | − | 0.813547i | −0.0179464 | − | 0.0310841i | ||||
\(686\) | −7.25771 | − | 17.0389i | −0.277101 | − | 0.650550i | ||||
\(687\) | −8.11939 | − | 1.81111i | −0.309774 | − | 0.0690981i | ||||
\(688\) | −6.79190 | + | 5.69908i | −0.258939 | + | 0.217275i | ||||
\(689\) | 1.86519 | + | 0.678875i | 0.0710582 | + | 0.0258631i | ||||
\(690\) | −3.04950 | + | 3.31927i | −0.116092 | + | 0.126362i | ||||
\(691\) | 0.709614 | − | 4.02442i | 0.0269950 | − | 0.153096i | −0.968331 | − | 0.249671i | \(-0.919678\pi\) |
0.995326 | + | 0.0965747i | \(0.0307887\pi\) | |||||||
\(692\) | 6.18987 | + | 10.7212i | 0.235304 | + | 0.407558i | ||||
\(693\) | −6.90176 | + | 0.710157i | −0.262176 | + | 0.0269766i | ||||
\(694\) | −13.4689 | + | 23.3289i | −0.511274 | + | 0.885552i | ||||
\(695\) | −0.644981 | − | 0.541203i | −0.0244655 | − | 0.0205290i | ||||
\(696\) | −0.210905 | + | 4.69050i | −0.00799432 | + | 0.177793i | ||||
\(697\) | 4.32953 | + | 24.5540i | 0.163993 | + | 0.930048i | ||||
\(698\) | −4.71314 | − | 26.7296i | −0.178395 | − | 1.01173i | ||||
\(699\) | 41.6337 | − | 5.42609i | 1.57473 | − | 0.205234i | ||||
\(700\) | −0.230752 | − | 12.9119i | −0.00872159 | − | 0.488025i | ||||
\(701\) | 35.0169 | 1.32257 | 0.661285 | − | 0.750135i | \(-0.270011\pi\) | ||||
0.661285 | + | 0.750135i | \(0.270011\pi\) | |||||||
\(702\) | −0.731802 | − | 0.566082i | −0.0276201 | − | 0.0213654i | ||||
\(703\) | 8.16439 | − | 14.1411i | 0.307926 | − | 0.533343i | ||||
\(704\) | −0.669623 | − | 0.561880i | −0.0252374 | − | 0.0211767i | ||||
\(705\) | −0.390456 | + | 0.939187i | −0.0147054 | + | 0.0353718i | ||||
\(706\) | −6.24891 | − | 2.27442i | −0.235181 | − | 0.0855989i | ||||
\(707\) | 43.3532 | + | 6.84799i | 1.63047 | + | 0.257545i | ||||
\(708\) | −0.389755 | + | 8.66811i | −0.0146479 | + | 0.325767i | ||||
\(709\) | −11.9094 | − | 9.99314i | −0.447265 | − | 0.375300i | 0.391155 | − | 0.920325i | \(-0.372076\pi\) |
−0.838420 | + | 0.545025i | \(0.816520\pi\) | |||||||
\(710\) | 1.61265 | + | 2.79320i | 0.0605218 | + | 0.104827i | ||||
\(711\) | 0.120009 | + | 1.41407i | 0.00450068 | + | 0.0530317i | ||||
\(712\) | 6.60450 | − | 11.4393i | 0.247514 | − | 0.428707i | ||||
\(713\) | −43.1663 | − | 36.2208i | −1.61659 | − | 1.35648i | ||||
\(714\) | −16.6071 | + | 27.0466i | −0.621504 | + | 1.01219i | ||||
\(715\) | −0.00932211 | − | 0.0528683i | −0.000348627 | − | 0.00197716i | ||||
\(716\) | 6.50556 | − | 5.45881i | 0.243124 | − | 0.204005i | ||||
\(717\) | −1.16158 | − | 3.70085i | −0.0433802 | − | 0.138211i | ||||
\(718\) | 2.18355 | − | 0.794746i | 0.0814892 | − | 0.0296596i | ||||
\(719\) | 7.59799 | − | 13.1601i | 0.283357 | − | 0.490789i | −0.688852 | − | 0.724902i | \(-0.741885\pi\) |
0.972210 | + | 0.234112i | \(0.0752184\pi\) | |||||||
\(720\) | −0.729777 | − | 0.733584i | −0.0271972 | − | 0.0273391i | ||||
\(721\) | 13.3568 | − | 38.8435i | 0.497434 | − | 1.44661i | ||||
\(722\) | −7.29190 | + | 2.65403i | −0.271376 | + | 0.0987729i | ||||
\(723\) | −2.17293 | + | 48.3258i | −0.0808122 | + | 1.79725i | ||||
\(724\) | −0.988510 | − | 5.60612i | −0.0367377 | − | 0.208350i | ||||
\(725\) | 10.1359 | − | 8.50503i | 0.376438 | − | 0.315869i | ||||
\(726\) | −17.5804 | + | 2.29125i | −0.652470 | + | 0.0850361i | ||||
\(727\) | −2.20445 | + | 12.5021i | −0.0817585 | + | 0.463676i | 0.916251 | + | 0.400606i | \(0.131200\pi\) |
−0.998009 | + | 0.0630700i | \(0.979911\pi\) | |||||||
\(728\) | −0.153185 | + | 0.445484i | −0.00567742 | + | 0.0165107i | ||||
\(729\) | 19.2403 | − | 18.9423i | 0.712604 | − | 0.701567i | ||||
\(730\) | −2.03699 | − | 3.52816i | −0.0753922 | − | 0.130583i | ||||
\(731\) | −47.0396 | − | 39.4709i | −1.73982 | − | 1.45988i | ||||
\(732\) | 0.182064 | + | 0.237911i | 0.00672929 | + | 0.00879345i | ||||
\(733\) | 4.28481 | + | 24.3004i | 0.158263 | + | 0.897554i | 0.955742 | + | 0.294207i | \(0.0950555\pi\) |
−0.797479 | + | 0.603347i | \(0.793833\pi\) | |||||||
\(734\) | 13.2145 | − | 11.0883i | 0.487757 | − | 0.409277i | ||||
\(735\) | 1.39410 | + | 3.94270i | 0.0514223 | + | 0.145429i | ||||
\(736\) | −7.08987 | + | 2.58050i | −0.261336 | + | 0.0951185i | ||||
\(737\) | −5.63217 | −0.207464 | ||||||||
\(738\) | −10.4391 | + | 2.76807i | −0.384270 | + | 0.101894i | ||||
\(739\) | −50.2708 | −1.84924 | −0.924621 | − | 0.380888i | \(-0.875618\pi\) | ||||
−0.924621 | + | 0.380888i | \(0.875618\pi\) | |||||||
\(740\) | 0.291712 | − | 1.65438i | 0.0107236 | − | 0.0608163i | ||||
\(741\) | 0.699513 | − | 0.761394i | 0.0256973 | − | 0.0279705i | ||||
\(742\) | 29.1330 | + | 4.60179i | 1.06951 | + | 0.168937i | ||||
\(743\) | 3.50903 | + | 19.9007i | 0.128734 | + | 0.730086i | 0.979020 | + | 0.203765i | \(0.0653178\pi\) |
−0.850286 | + | 0.526321i | \(0.823571\pi\) | |||||||
\(744\) | 8.75181 | − | 9.52602i | 0.320857 | − | 0.349241i | ||||
\(745\) | −2.79898 | + | 1.01875i | −0.102547 | + | 0.0373240i | ||||
\(746\) | −9.86981 | −0.361360 | ||||||||
\(747\) | −3.76654 | − | 1.76831i | −0.137811 | − | 0.0646991i | ||||
\(748\) | 3.02704 | − | 5.24299i | 0.110680 | − | 0.191703i | ||||
\(749\) | −33.1509 | + | 19.9379i | −1.21131 | + | 0.728513i | ||||
\(750\) | −0.265160 | + | 5.89713i | −0.00968227 | + | 0.215333i | ||||
\(751\) | 14.0341 | + | 5.10801i | 0.512113 | + | 0.186394i | 0.585134 | − | 0.810936i | \(-0.301042\pi\) |
−0.0730210 | + | 0.997330i | \(0.523264\pi\) | |||||||
\(752\) | −1.30421 | + | 1.09436i | −0.0475597 | + | 0.0399073i | ||||
\(753\) | −22.3494 | + | 2.91279i | −0.814458 | + | 0.106148i | ||||
\(754\) | −0.453559 | + | 0.165082i | −0.0165176 | + | 0.00601193i | ||||
\(755\) | 0.0953937 | 0.00347173 | ||||||||
\(756\) | −12.2819 | − | 6.17706i | −0.446687 | − | 0.224658i | ||||
\(757\) | −39.1056 | −1.42132 | −0.710658 | − | 0.703538i | \(-0.751603\pi\) | ||||
−0.710658 | + | 0.703538i | \(0.751603\pi\) | |||||||
\(758\) | 3.48719 | − | 1.26923i | 0.126660 | − | 0.0461006i | ||||
\(759\) | 4.38521 | − | 10.5480i | 0.159173 | − | 0.382868i | ||||
\(760\) | 0.885842 | − | 0.743309i | 0.0321329 | − | 0.0269627i | ||||
\(761\) | 0.664821 | + | 0.241975i | 0.0240998 | + | 0.00877159i | 0.354042 | − | 0.935230i | \(-0.384807\pi\) |
−0.329942 | + | 0.944001i | \(0.607029\pi\) | |||||||
\(762\) | −14.6593 | + | 7.60694i | −0.531051 | + | 0.275571i | ||||
\(763\) | −10.1298 | − | 5.60951i | −0.366722 | − | 0.203078i | ||||
\(764\) | −8.17971 | + | 14.1677i | −0.295932 | + | 0.512568i | ||||
\(765\) | 4.12582 | − | 5.85978i | 0.149169 | − | 0.211861i | ||||
\(766\) | 9.27618 | 0.335162 | ||||||||
\(767\) | −0.838183 | + | 0.305074i | −0.0302650 | + | 0.0110156i | ||||
\(768\) | −0.518689 | − | 1.65256i | −0.0187166 | − | 0.0596317i | ||||
\(769\) | −6.43977 | − | 36.5218i | −0.232224 | − | 1.31701i | −0.848381 | − | 0.529386i | \(-0.822422\pi\) |
0.616157 | − | 0.787623i | \(-0.288689\pi\) | |||||||
\(770\) | −0.286181 | − | 0.744602i | −0.0103133 | − | 0.0268336i | ||||
\(771\) | −11.5313 | − | 2.57216i | −0.415288 | − | 0.0926340i | ||||
\(772\) | 3.48754 | − | 19.7788i | 0.125519 | − | 0.711855i | ||||
\(773\) | −3.28679 | −0.118218 | −0.0591089 | − | 0.998252i | \(-0.518826\pi\) | ||||
−0.0591089 | + | 0.998252i | \(0.518826\pi\) | |||||||
\(774\) | 15.3129 | − | 21.7485i | 0.550413 | − | 0.781734i | ||||
\(775\) | −36.4544 | −1.30948 | ||||||||
\(776\) | −4.32582 | + | 1.57447i | −0.155288 | + | 0.0565202i | ||||
\(777\) | −3.27945 | − | 22.0769i | −0.117650 | − | 0.792005i | ||||
\(778\) | 1.55196 | − | 1.30225i | 0.0556404 | − | 0.0466879i | ||||
\(779\) | −2.09582 | − | 11.8860i | −0.0750905 | − | 0.425860i | ||||
\(780\) | 0.0408347 | − | 0.0982220i | 0.00146212 | − | 0.00351691i | ||||
\(781\) | −6.26160 | − | 5.25410i | −0.224058 | − | 0.188007i | ||||
\(782\) | −26.1273 | − | 45.2538i | −0.934310 | − | 1.61827i | ||||
\(783\) | −2.99502 | − | 13.7636i | −0.107033 | − | 0.491871i | ||||
\(784\) | −0.968444 | + | 6.93268i | −0.0345873 | + | 0.247596i | ||||
\(785\) | 0.982660 | − | 5.57294i | 0.0350726 | − | 0.198907i | ||||
\(786\) | −0.285999 | + | 0.687929i | −0.0102012 | + | 0.0245376i | ||||
\(787\) | 7.12539 | − | 5.97891i | 0.253993 | − | 0.213125i | −0.506897 | − | 0.862007i | \(-0.669207\pi\) |
0.760889 | + | 0.648882i | \(0.224763\pi\) | |||||||
\(788\) | −1.56468 | − | 8.87375i | −0.0557394 | − | 0.316114i | ||||
\(789\) | 18.7940 | − | 9.75248i | 0.669083 | − | 0.347197i | ||||
\(790\) | −0.153324 | + | 0.0558053i | −0.00545502 | + | 0.00198546i | ||||
\(791\) | −16.9676 | − | 19.5026i | −0.603298 | − | 0.693432i | ||||
\(792\) | 2.37380 | + | 1.11445i | 0.0843494 | + | 0.0396003i | ||||
\(793\) | −0.0153984 | + | 0.0266708i | −0.000546813 | + | 0.000947108i | ||||
\(794\) | −16.3176 | + | 5.93912i | −0.579090 | + | 0.210772i | ||||
\(795\) | −6.50011 | − | 1.44991i | −0.230535 | − | 0.0514231i | ||||
\(796\) | 16.1523 | − | 13.5534i | 0.572504 | − | 0.480388i | ||||
\(797\) | 5.26438 | + | 29.8558i | 0.186474 | + | 1.05755i | 0.924047 | + | 0.382279i | \(0.124861\pi\) |
−0.737573 | + | 0.675267i | \(0.764028\pi\) | |||||||
\(798\) | 8.03909 | − | 13.0926i | 0.284581 | − | 0.463472i | ||||
\(799\) | −9.03275 | − | 7.57938i | −0.319556 | − | 0.268139i | ||||
\(800\) | −2.44052 | + | 4.22710i | −0.0862853 | + | 0.149450i | ||||
\(801\) | −10.3558 | + | 38.2500i | −0.365903 | + | 1.35150i | ||||
\(802\) | −8.60921 | − | 14.9116i | −0.304002 | − | 0.526547i | ||||
\(803\) | 7.90919 | + | 6.63660i | 0.279109 | + | 0.234200i | ||||
\(804\) | −9.40435 | − | 6.00845i | −0.331666 | − | 0.211902i | ||||
\(805\) | −6.80090 | − | 1.07426i | −0.239700 | − | 0.0378626i | ||||
\(806\) | 1.24961 | + | 0.454821i | 0.0440157 | + | 0.0160204i | ||||
\(807\) | −44.0408 | + | 5.73981i | −1.55031 | + | 0.202051i | ||||
\(808\) | −12.7080 | − | 10.6633i | −0.447067 | − | 0.375134i | ||||
\(809\) | −0.598540 | + | 1.03670i | −0.0210435 | + | 0.0364485i | −0.876355 | − | 0.481665i | \(-0.840032\pi\) |
0.855312 | + | 0.518114i | \(0.173366\pi\) | |||||||
\(810\) | 2.68026 | + | 1.56610i | 0.0941748 | + | 0.0550271i | ||||
\(811\) | −47.3836 | −1.66386 | −0.831932 | − | 0.554878i | \(-0.812765\pi\) | ||||
−0.831932 | + | 0.554878i | \(0.812765\pi\) | |||||||
\(812\) | −6.14614 | + | 3.69646i | −0.215687 | + | 0.129720i | ||||
\(813\) | 10.9795 | − | 26.4097i | 0.385069 | − | 0.926228i | ||||
\(814\) | 0.739290 | + | 4.19272i | 0.0259121 | + | 0.146955i | ||||
\(815\) | −1.26995 | − | 7.20225i | −0.0444845 | − | 0.252284i | ||||
\(816\) | 10.6477 | − | 5.52525i | 0.372744 | − | 0.193422i | ||||
\(817\) | 22.7707 | + | 19.1069i | 0.796646 | + | 0.668466i | ||||
\(818\) | −8.12887 | + | 14.0796i | −0.284219 | + | 0.492282i | ||||
\(819\) | 0.101665 | − | 1.40960i | 0.00355245 | − | 0.0492552i | ||||
\(820\) | −0.620847 | − | 1.07534i | −0.0216809 | − | 0.0375525i | ||||
\(821\) | −1.93306 | + | 10.9629i | −0.0674642 | + | 0.382609i | 0.932316 | + | 0.361645i | \(0.117785\pi\) |
−0.999780 | + | 0.0209639i | \(0.993326\pi\) | |||||||
\(822\) | 1.41268 | + | 4.50084i | 0.0492727 | + | 0.156985i | ||||
\(823\) | 25.1804 | + | 9.16491i | 0.877733 | + | 0.319469i | 0.741294 | − | 0.671180i | \(-0.234212\pi\) |
0.136438 | + | 0.990649i | \(0.456434\pi\) | |||||||
\(824\) | −11.8930 | + | 9.97942i | −0.414312 | + | 0.347649i | ||||
\(825\) | −2.21307 | − | 7.05092i | −0.0770491 | − | 0.245482i | ||||
\(826\) | −11.3582 | + | 6.83111i | −0.395201 | + | 0.237685i | ||||
\(827\) | 6.01479 | + | 10.4179i | 0.209155 | + | 0.362267i | 0.951449 | − | 0.307808i | \(-0.0995954\pi\) |
−0.742294 | + | 0.670075i | \(0.766262\pi\) | |||||||
\(828\) | 18.5749 | − | 12.9344i | 0.645523 | − | 0.449502i | ||||
\(829\) | 17.6088 | + | 30.4994i | 0.611580 | + | 1.05929i | 0.990974 | + | 0.134053i | \(0.0427992\pi\) |
−0.379394 | + | 0.925235i | \(0.623868\pi\) | |||||||
\(830\) | 0.0830733 | − | 0.471132i | 0.00288352 | − | 0.0163532i | ||||
\(831\) | −35.9983 | + | 18.6800i | −1.24877 | + | 0.648004i | ||||
\(832\) | 0.136397 | − | 0.114451i | 0.00472871 | − | 0.00396786i | ||||
\(833\) | −48.4499 | + | 1.73227i | −1.67869 | + | 0.0600195i | ||||
\(834\) | 2.56949 | + | 3.35766i | 0.0889741 | + | 0.116266i | ||||
\(835\) | 0.303698 | − | 0.110537i | 0.0105099 | − | 0.00382529i | ||||
\(836\) | −1.46532 | + | 2.53801i | −0.0506791 | + | 0.0877788i | ||||
\(837\) | −18.0537 | + | 34.3528i | −0.624027 | + | 1.18741i | ||||
\(838\) | 9.04305 | + | 15.6630i | 0.312387 | + | 0.541070i | ||||
\(839\) | 9.00886 | − | 51.0918i | 0.311021 | − | 1.76389i | −0.282695 | − | 0.959210i | \(-0.591228\pi\) |
0.593715 | − | 0.804675i | \(-0.297661\pi\) | |||||||
\(840\) | 0.316494 | − | 1.54860i | 0.0109201 | − | 0.0534319i | ||||
\(841\) | 20.3458 | + | 7.40528i | 0.701581 | + | 0.255354i | ||||
\(842\) | 14.1230 | + | 5.14035i | 0.486711 | + | 0.177148i | ||||
\(843\) | 0.0795141 | − | 1.76839i | 0.00273861 | − | 0.0609065i | ||||
\(844\) | −4.06187 | + | 23.0360i | −0.139815 | + | 0.792933i | ||||
\(845\) | −4.47301 | −0.153876 | ||||||||
\(846\) | 2.94046 | − | 4.17625i | 0.101095 | − | 0.143582i | ||||
\(847\) | −17.7757 | − | 20.4314i | −0.610779 | − | 0.702030i | ||||
\(848\) | −8.53968 | − | 7.16564i | −0.293254 | − | 0.246069i | ||||
\(849\) | −5.16103 | − | 16.4433i | −0.177126 | − | 0.564331i | ||||
\(850\) | −31.7665 | − | 11.5621i | −1.08958 | − | 0.396576i | ||||
\(851\) | 34.5308 | + | 12.5682i | 1.18370 | + | 0.430831i | ||||
\(852\) | −4.85022 | − | 15.4530i | −0.166166 | − | 0.529411i | ||||
\(853\) | 26.1780 | + | 21.9659i | 0.896317 | + | 0.752100i | 0.969467 | − | 0.245221i | \(-0.0788607\pi\) |
−0.0731497 | + | 0.997321i | \(0.523305\pi\) | |||||||
\(854\) | −0.148806 | + | 0.432749i | −0.00509204 | + | 0.0148084i | ||||
\(855\) | −1.99721 | + | 2.83658i | −0.0683031 | + | 0.0970089i | ||||
\(856\) | 14.6214 | 0.499750 | ||||||||
\(857\) | −2.00925 | + | 11.3950i | −0.0686347 | + | 0.389247i | 0.931068 | + | 0.364847i | \(0.118879\pi\) |
−0.999702 | + | 0.0244000i | \(0.992232\pi\) | |||||||
\(858\) | −0.0121092 | + | 0.269308i | −0.000413402 | + | 0.00919402i | ||||
\(859\) | 47.4257 | + | 17.2615i | 1.61814 | + | 0.588956i | 0.983027 | − | 0.183460i | \(-0.0587297\pi\) |
0.635117 | + | 0.772416i | \(0.280952\pi\) | |||||||
\(860\) | 2.87369 | + | 1.04594i | 0.0979919 | + | 0.0356661i | ||||
\(861\) | −12.3459 | − | 10.9422i | −0.420748 | − | 0.372911i | ||||
\(862\) | 5.00657 | − | 28.3937i | 0.170524 | − | 0.967092i | ||||
\(863\) | 1.06132 | + | 1.83825i | 0.0361276 | + | 0.0625748i | 0.883524 | − | 0.468386i | \(-0.155164\pi\) |
−0.847396 | + | 0.530961i | \(0.821831\pi\) | |||||||
\(864\) | 2.77477 | + | 4.39325i | 0.0943995 | + | 0.149461i | ||||
\(865\) | 2.13500 | − | 3.69793i | 0.0725922 | − | 0.125733i | ||||
\(866\) | −8.08969 | + | 2.94441i | −0.274899 | + | 0.100055i | ||||
\(867\) | 32.5966 | + | 42.5954i | 1.10704 | + | 1.44661i | ||||
\(868\) | 19.5180 | + | 3.08303i | 0.662485 | + | 0.104645i | ||||
\(869\) | 0.316765 | − | 0.265798i | 0.0107455 | − | 0.00901657i | ||||
\(870\) | 1.43746 | − | 0.745921i | 0.0487345 | − | 0.0252891i | ||||
\(871\) | 0.199214 | − | 1.12980i | 0.00675012 | − | 0.0382818i | ||||
\(872\) | 2.18827 | + | 3.79020i | 0.0741042 | + | 0.128352i | ||||
\(873\) | 11.3333 | − | 7.89182i | 0.383575 | − | 0.267098i | ||||
\(874\) | 12.6476 | + | 21.9063i | 0.427811 | + | 0.740991i | ||||
\(875\) | −7.72725 | + | 4.64737i | −0.261229 | + | 0.157110i | ||||
\(876\) | 6.12644 | + | 19.5191i | 0.206993 | + | 0.659489i | ||||
\(877\) | −5.26052 | + | 4.41410i | −0.177635 | + | 0.149054i | −0.727270 | − | 0.686351i | \(-0.759211\pi\) |
0.549635 | + | 0.835405i | \(0.314767\pi\) | |||||||
\(878\) | −23.1734 | − | 8.43444i | −0.782065 | − | 0.284648i | ||||
\(879\) | −3.02984 | − | 9.65318i | −0.102194 | − | 0.325594i | ||||
\(880\) | −0.0523556 | + | 0.296923i | −0.00176491 | + | 0.0100093i | ||||
\(881\) | −27.2296 | − | 47.1630i | −0.917388 | − | 1.58896i | −0.803367 | − | 0.595485i | \(-0.796960\pi\) |
−0.114022 | − | 0.993478i | \(-0.536373\pi\) | |||||||
\(882\) | −2.52237 | − | 20.8480i | −0.0849326 | − | 0.701987i | ||||
\(883\) | −6.18561 | + | 10.7138i | −0.208162 | + | 0.360548i | −0.951136 | − | 0.308773i | \(-0.900082\pi\) |
0.742973 | + | 0.669321i | \(0.233415\pi\) | |||||||
\(884\) | 0.944663 | + | 0.792667i | 0.0317725 | + | 0.0266603i | ||||
\(885\) | 2.65645 | − | 1.37847i | 0.0892957 | − | 0.0463368i | ||||
\(886\) | −1.64737 | − | 9.34269i | −0.0553444 | − | 0.313874i | ||||
\(887\) | 5.90919 | + | 33.5127i | 0.198411 | + | 1.12525i | 0.907477 | + | 0.420103i | \(0.138006\pi\) |
−0.709065 | + | 0.705143i | \(0.750883\pi\) | |||||||
\(888\) | −3.23839 | + | 7.78950i | −0.108673 | + | 0.261399i | ||||
\(889\) | −22.0698 | − | 12.2215i | −0.740199 | − | 0.409896i | ||||
\(890\) | −4.55603 | −0.152719 | ||||||||
\(891\) | −7.74044 | − | 1.40641i | −0.259315 | − | 0.0471166i | ||||
\(892\) | 1.88888 | − | 3.27164i | 0.0632444 | − | 0.109543i | ||||
\(893\) | 4.37254 | + | 3.66899i | 0.146321 | + | 0.122778i | ||||
\(894\) | 14.8321 | − | 1.93305i | 0.496058 | − | 0.0646510i | ||||
\(895\) | −2.75254 | − | 1.00184i | −0.0920072 | − | 0.0334879i | ||||
\(896\) | 1.66417 | − | 2.05683i | 0.0555960 | − | 0.0687138i | ||||
\(897\) | 1.96080 | + | 1.25275i | 0.0654691 | + | 0.0418282i | ||||
\(898\) | −15.2420 | − | 12.7895i | −0.508632 | − | 0.426793i | ||||
\(899\) | 10.1229 | + | 17.5334i | 0.337618 | + | 0.584771i | ||||
\(900\) | 3.82669 | − | 14.1342i | 0.127556 | − | 0.471141i | ||||
\(901\) | 38.6038 | − | 66.8637i | 1.28608 | − | 2.22755i | ||||
\(902\) | 2.41062 | + | 2.02275i | 0.0802648 | + | 0.0673502i | ||||
\(903\) | 40.6151 | + | 1.09950i | 1.35159 | + | 0.0365892i | ||||
\(904\) | 1.69664 | + | 9.62214i | 0.0564295 | + | 0.320028i | ||||
\(905\) | −1.50412 | + | 1.26210i | −0.0499985 | + | 0.0419537i | ||||
\(906\) | −0.467541 | − | 0.104290i | −0.0155330 | − | 0.00346479i | ||||
\(907\) | −15.1153 | + | 5.50151i | −0.501895 | + | 0.182675i | −0.580546 | − | 0.814228i | \(-0.697161\pi\) |
0.0786514 | + | 0.996902i | \(0.474939\pi\) | |||||||
\(908\) | −9.97153 | + | 17.2712i | −0.330917 | + | 0.573165i | ||||
\(909\) | 45.0498 | + | 21.1499i | 1.49421 | + | 0.701498i | ||||
\(910\) | 0.159488 | − | 0.0310702i | 0.00528697 | − | 0.00102997i | ||||
\(911\) | 3.71447 | − | 1.35196i | 0.123066 | − | 0.0447923i | −0.279753 | − | 0.960072i | \(-0.590253\pi\) |
0.402819 | + | 0.915280i | \(0.368030\pi\) | |||||||
\(912\) | −5.15429 | + | 2.67464i | −0.170676 | + | 0.0885661i | ||||
\(913\) | 0.210533 | + | 1.19399i | 0.00696764 | + | 0.0395155i | ||||
\(914\) | −21.0765 | + | 17.6853i | −0.697149 | + | 0.584978i | ||||
\(915\) | 0.0396673 | − | 0.0954141i | 0.00131136 | − | 0.00315429i | ||||
\(916\) | −0.834022 | + | 4.72997i | −0.0275568 | + | 0.156283i | ||||
\(917\) | −1.11702 | + | 0.217610i | −0.0368874 | + | 0.00718611i | ||||
\(918\) | −26.6276 | + | 24.2092i | −0.878841 | + | 0.799023i | ||||
\(919\) | 16.7643 | + | 29.0365i | 0.553002 | + | 0.957827i | 0.998056 | + | 0.0623234i | \(0.0198510\pi\) |
−0.445054 | + | 0.895504i | \(0.646816\pi\) | |||||||
\(920\) | 1.99353 | + | 1.67277i | 0.0657248 | + | 0.0551496i | ||||
\(921\) | −6.73340 | + | 16.1962i | −0.221873 | + | 0.533685i | ||||
\(922\) | −1.54638 | − | 8.76995i | −0.0509273 | − | 0.288823i | ||||
\(923\) | 1.27544 | − | 1.07022i | 0.0419816 | − | 0.0352267i | ||||
\(924\) | 0.588585 | + | 3.96229i | 0.0193630 | + | 0.130350i | ||||
\(925\) | 22.3391 | − | 8.13076i | 0.734505 | − | 0.267338i | ||||
\(926\) | 40.3799 | 1.32697 | ||||||||
\(927\) | 26.8139 | − | 38.0829i | 0.880682 | − | 1.25081i | ||||
\(928\) | 2.71080 | 0.0889862 | ||||||||
\(929\) | 9.07403 | − | 51.4614i | 0.297709 | − | 1.68839i | −0.358272 | − | 0.933617i | \(-0.616634\pi\) |
0.655982 | − | 0.754777i | \(-0.272255\pi\) | |||||||
\(930\) | −4.35483 | − | 0.971388i | −0.142801 | − | 0.0318531i | ||||
\(931\) | 23.4534 | − | 0.838549i | 0.768655 | − | 0.0274823i | ||||
\(932\) | −4.20932 | − | 23.8722i | −0.137881 | − | 0.781961i | ||||
\(933\) | −14.0582 | − | 44.7900i | −0.460245 | − | 1.46636i | ||||
\(934\) | −21.6813 | + | 7.89134i | −0.709433 | + | 0.258213i | ||||
\(935\) | −2.08817 | −0.0682904 | ||||||||
\(936\) | −0.307519 | + | 0.436760i | −0.0100516 | + | 0.0142760i | ||||
\(937\) | 2.60312 | − | 4.50873i | 0.0850401 | − | 0.147294i | −0.820368 | − | 0.571836i | \(-0.806232\pi\) |
0.905408 | + | 0.424542i | \(0.139565\pi\) | |||||||
\(938\) | −0.304602 | − | 17.0443i | −0.00994561 | − | 0.556516i | ||||
\(939\) | −48.0695 | + | 24.9440i | −1.56869 | + | 0.814016i | ||||
\(940\) | 0.551818 | + | 0.200845i | 0.0179983 | + | 0.00655086i | ||||
\(941\) | 38.7667 | − | 32.5291i | 1.26376 | − | 1.06042i | 0.268488 | − | 0.963283i | \(-0.413476\pi\) |
0.995271 | − | 0.0971365i | \(-0.0309684\pi\) | |||||||
\(942\) | −10.9088 | + | 26.2396i | −0.355429 | + | 0.854934i | ||||
\(943\) | 25.5233 | − | 9.28971i | 0.831152 | − | 0.302515i | ||||
\(944\) | 5.00959 | 0.163048 | ||||||||
\(945\) | 0.272981 | + | 4.73398i | 0.00888007 | + | 0.153996i | ||||
\(946\) | −7.75021 | −0.251981 | ||||||||
\(947\) | −49.7279 | + | 18.0995i | −1.61594 | + | 0.588154i | −0.982602 | − | 0.185721i | \(-0.940538\pi\) |
−0.633338 | + | 0.773875i | \(0.718316\pi\) | |||||||
\(948\) | 0.812476 | − | 0.105890i | 0.0263880 | − | 0.00343913i | ||||
\(949\) | −1.61104 | + | 1.35182i | −0.0522966 | + | 0.0438820i | ||||
\(950\) | 15.3774 | + | 5.59692i | 0.498909 | + | 0.181588i | ||||
\(951\) | 1.41233 | − | 31.4100i | 0.0457979 | − | 1.01854i | ||||
\(952\) | 16.0303 | + | 8.87700i | 0.519544 | + | 0.287705i | ||||
\(953\) | 12.1486 | − | 21.0420i | 0.393531 | − | 0.681616i | −0.599381 | − | 0.800464i | \(-0.704587\pi\) |
0.992913 | + | 0.118848i | \(0.0379200\pi\) | |||||||
\(954\) | 30.2730 | + | 14.2125i | 0.980125 | + | 0.460148i | ||||
\(955\) | 5.64267 | 0.182592 | ||||||||
\(956\) | −2.10441 | + | 0.765942i | −0.0680614 | + | 0.0247723i | ||||
\(957\) | −2.77673 | + | 3.02236i | −0.0897588 | + | 0.0976991i | ||||
\(958\) | 0.767672 | + | 4.35368i | 0.0248023 | + | 0.140661i | ||||
\(959\) | −4.53245 | + | 5.60188i | −0.146361 | + | 0.180894i | ||||
\(960\) | −0.404181 | + | 0.439936i | −0.0130449 | + | 0.0141989i | ||||
\(961\) | 4.30296 | − | 24.4033i | 0.138805 | − | 0.787203i | ||||
\(962\) | −0.867199 | −0.0279596 | ||||||||
\(963\) | −42.3990 | + | 11.2426i | −1.36629 | + | 0.362289i | ||||
\(964\) | 27.9291 | 0.899535 | ||||||||
\(965\) | −6.50955 | + | 2.36928i | −0.209550 | + | 0.0762699i | ||||
\(966\) | 32.1579 | + | 12.7002i | 1.03467 | + | 0.408623i | ||||
\(967\) | 11.7983 | − | 9.89991i | 0.379406 | − | 0.318360i | −0.433063 | − | 0.901364i | \(-0.642567\pi\) |
0.812469 | + | 0.583004i | \(0.198123\pi\) | |||||||
\(968\) | 1.77744 | + | 10.0804i | 0.0571292 | + | 0.323996i | ||||
\(969\) | −24.4415 | − | 31.9388i | −0.785175 | − | 1.02602i | ||||
\(970\) | 1.21634 | + | 1.02063i | 0.0390542 | + | 0.0327703i | ||||
\(971\) | 5.50393 | + | 9.53309i | 0.176630 | + | 0.305932i | 0.940724 | − | 0.339173i | \(-0.110147\pi\) |
−0.764094 | + | 0.645104i | \(0.776814\pi\) | |||||||
\(972\) | −11.4243 | − | 10.6059i | −0.366434 | − | 0.340185i | ||||
\(973\) | −2.10011 | + | 6.10741i | −0.0673264 | + | 0.195795i | ||||
\(974\) | 3.98154 | − | 22.5805i | 0.127577 | − | 0.723525i | ||||
\(975\) | 1.49268 | − | 0.194540i | 0.0478039 | − | 0.00623025i | ||||
\(976\) | 0.132498 | − | 0.111179i | 0.00424115 | − | 0.00355875i | ||||
\(977\) | 7.14576 | + | 40.5256i | 0.228613 | + | 1.29653i | 0.855656 | + | 0.517545i | \(0.173154\pi\) |
−0.627043 | + | 0.778985i | \(0.715735\pi\) | |||||||
\(978\) | −1.64964 | + | 36.6879i | −0.0527497 | + | 1.17315i | ||||
\(979\) | 10.8501 | − | 3.94910i | 0.346770 | − | 0.126214i | ||||
\(980\) | 2.23787 | − | 0.906324i | 0.0714860 | − | 0.0289514i | ||||
\(981\) | −9.25986 | − | 9.30817i | −0.295645 | − | 0.297187i | ||||
\(982\) | 11.8966 | − | 20.6054i | 0.379634 | − | 0.657546i | ||||
\(983\) | 35.2805 | − | 12.8410i | 1.12527 | − | 0.409566i | 0.288698 | − | 0.957420i | \(-0.406778\pi\) |
0.836574 | + | 0.547855i | \(0.184555\pi\) | |||||||
\(984\) | 1.86726 | + | 5.94917i | 0.0595261 | + | 0.189652i | ||||
\(985\) | −2.38082 | + | 1.99774i | −0.0758591 | + | 0.0636534i | ||||
\(986\) | 3.26016 | + | 18.4893i | 0.103825 | + | 0.588819i | ||||
\(987\) | 7.79910 | + | 0.211132i | 0.248248 | + | 0.00672039i | ||||
\(988\) | −0.457289 | − | 0.383711i | −0.0145483 | − | 0.0122075i | ||||
\(989\) | −33.4472 | + | 57.9322i | −1.06356 | + | 1.84214i | ||||
\(990\) | −0.0764890 | − | 0.901272i | −0.00243098 | − | 0.0286443i | ||||
\(991\) | 28.3910 | + | 49.1747i | 0.901870 | + | 1.56208i | 0.825065 | + | 0.565038i | \(0.191139\pi\) |
0.0768054 | + | 0.997046i | \(0.475528\pi\) | |||||||
\(992\) | −5.72127 | − | 4.80071i | −0.181650 | − | 0.152423i | ||||
\(993\) | 1.17136 | − | 26.0509i | 0.0371720 | − | 0.826701i | ||||
\(994\) | 15.5615 | − | 19.2332i | 0.493582 | − | 0.610042i | ||||
\(995\) | −6.83414 | − | 2.48742i | −0.216657 | − | 0.0788566i | ||||
\(996\) | −0.922223 | + | 2.21828i | −0.0292218 | + | 0.0702888i | ||||
\(997\) | 25.4564 | + | 21.3604i | 0.806212 | + | 0.676492i | 0.949700 | − | 0.313160i | \(-0.101388\pi\) |
−0.143489 | + | 0.989652i | \(0.545832\pi\) | |||||||
\(998\) | −5.70648 | + | 9.88391i | −0.180635 | + | 0.312870i | ||||
\(999\) | 3.40118 | − | 25.0780i | 0.107609 | − | 0.793431i |
(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 | 378.2.w.b.25.8 | yes | 72 | |
7.2 | even | 3 | 378.2.v.a.79.1 | yes | 72 | ||
27.13 | even | 9 | 378.2.v.a.67.1 | ✓ | 72 | ||
189.121 | even | 9 | inner | 378.2.w.b.121.8 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.v.a.67.1 | ✓ | 72 | 27.13 | even | 9 | ||
378.2.v.a.79.1 | yes | 72 | 7.2 | even | 3 | ||
378.2.w.b.25.8 | yes | 72 | 1.1 | even | 1 | trivial | |
378.2.w.b.121.8 | yes | 72 | 189.121 | even | 9 | inner |