Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1386,2,Mod(701,1386)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1386, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1386.701");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1386 = 2 \cdot 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1386.bu (of order \(10\), degree \(4\), 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: | \(11.0672657201\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 701.7 | ||
Character | \(\chi\) | \(=\) | 1386.701 |
Dual form | 1386.2.bu.a.953.7 |
$q$-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 \(\left(\mathbb{Z}/1386\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(1135\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | + | 0.587785i | −0.572061 | + | 0.415627i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | 0.741879 | − | 1.02111i | 0.331778 | − | 0.456654i | −0.610239 | − | 0.792217i | \(-0.708927\pi\) |
0.942018 | + | 0.335563i | \(0.108927\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.951057 | − | 0.309017i | −0.359466 | − | 0.116797i | ||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.26216i | 0.399130i | ||||||||
\(11\) | 3.31562 | + | 0.0815558i | 0.999698 | + | 0.0245900i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.32934 | + | 1.82967i | 0.368692 | + | 0.507460i | 0.952545 | − | 0.304399i | \(-0.0984556\pi\) |
−0.583853 | + | 0.811859i | \(0.698456\pi\) | |||||||
\(14\) | 0.951057 | − | 0.309017i | 0.254181 | − | 0.0825883i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 3.80312 | + | 2.76313i | 0.922392 | + | 0.670157i | 0.944118 | − | 0.329607i | \(-0.106916\pi\) |
−0.0217262 | + | 0.999764i | \(0.506916\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.66000 | + | 1.83905i | −1.29849 | + | 0.421906i | −0.875057 | − | 0.484020i | \(-0.839176\pi\) |
−0.423437 | + | 0.905926i | \(0.639176\pi\) | |||||||
\(20\) | −0.741879 | − | 1.02111i | −0.165889 | − | 0.228327i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.73033 | + | 1.88289i | −0.582109 | + | 0.401434i | ||||
\(23\) | − | 4.32750i | − | 0.902346i | −0.892437 | − | 0.451173i | \(-0.851006\pi\) | ||
0.892437 | − | 0.451173i | \(-0.148994\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.05281 | + | 3.24020i | 0.210561 | + | 0.648041i | ||||
\(26\) | −2.15091 | − | 0.698874i | −0.421828 | − | 0.137060i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.587785 | + | 0.809017i | −0.111081 | + | 0.152890i | ||||
\(29\) | 1.09670 | − | 3.37529i | 0.203652 | − | 0.626775i | −0.796114 | − | 0.605146i | \(-0.793115\pi\) |
0.999766 | − | 0.0216292i | \(-0.00688531\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.65845 | − | 1.20493i | 0.297866 | − | 0.216412i | −0.428806 | − | 0.903396i | \(-0.641066\pi\) |
0.726673 | + | 0.686984i | \(0.241066\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.70091 | −0.806200 | ||||||||
\(35\) | −1.02111 | + | 0.741879i | −0.172599 | + | 0.125400i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.883434 | + | 2.71893i | −0.145236 | + | 0.446989i | −0.997041 | − | 0.0768687i | \(-0.975508\pi\) |
0.851806 | + | 0.523858i | \(0.175508\pi\) | |||||||
\(38\) | 3.49807 | − | 4.81469i | 0.567463 | − | 0.781045i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.20039 | + | 0.390029i | 0.189798 | + | 0.0616690i | ||||
\(41\) | 2.43080 | + | 7.48122i | 0.379627 | + | 1.16837i | 0.940304 | + | 0.340336i | \(0.110541\pi\) |
−0.560677 | + | 0.828034i | \(0.689459\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 5.70787i | − | 0.870441i | −0.900324 | − | 0.435221i | \(-0.856670\pi\) | ||
0.900324 | − | 0.435221i | \(-0.143330\pi\) | |||||||
\(44\) | 1.10215 | − | 3.12814i | 0.166155 | − | 0.471585i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.54364 | + | 3.50102i | 0.375039 | + | 0.516197i | ||||
\(47\) | 12.2074 | − | 3.96643i | 1.78063 | − | 0.578563i | 0.781653 | − | 0.623713i | \(-0.214377\pi\) |
0.998980 | + | 0.0451506i | \(0.0143768\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.809017 | + | 0.587785i | 0.115574 | + | 0.0839693i | ||||
\(50\) | −2.75628 | − | 2.00256i | −0.389797 | − | 0.283204i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.15091 | − | 0.698874i | 0.298278 | − | 0.0969163i | ||||
\(53\) | −1.30959 | − | 1.80249i | −0.179886 | − | 0.247591i | 0.709547 | − | 0.704659i | \(-0.248900\pi\) |
−0.889432 | + | 0.457067i | \(0.848900\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.54307 | − | 3.32511i | 0.342907 | − | 0.448357i | ||||
\(56\) | − | 1.00000i | − | 0.133631i | ||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.09670 | + | 3.37529i | 0.144003 | + | 0.443197i | ||||
\(59\) | 8.76233 | + | 2.84705i | 1.14076 | + | 0.370655i | 0.817655 | − | 0.575709i | \(-0.195274\pi\) |
0.323104 | + | 0.946364i | \(0.395274\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.606496 | + | 0.834770i | −0.0776538 | + | 0.106881i | −0.846077 | − | 0.533061i | \(-0.821042\pi\) |
0.768423 | + | 0.639942i | \(0.221042\pi\) | |||||||
\(62\) | −0.633471 | + | 1.94962i | −0.0804509 | + | 0.247602i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 2.85450 | 0.354058 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.83635 | −0.224346 | −0.112173 | − | 0.993689i | \(-0.535781\pi\) | ||||
−0.112173 | + | 0.993689i | \(0.535781\pi\) | |||||||
\(68\) | 3.80312 | − | 2.76313i | 0.461196 | − | 0.335079i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.390029 | − | 1.20039i | 0.0466174 | − | 0.143473i | ||||
\(71\) | 6.53316 | − | 8.99213i | 0.775344 | − | 1.06717i | −0.220437 | − | 0.975401i | \(-0.570748\pi\) |
0.995780 | − | 0.0917678i | \(-0.0292518\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.28656 | + | 0.418028i | 0.150580 | + | 0.0489265i | 0.383337 | − | 0.923608i | \(-0.374775\pi\) |
−0.232757 | + | 0.972535i | \(0.574775\pi\) | |||||||
\(74\) | −0.883434 | − | 2.71893i | −0.102697 | − | 0.316069i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 5.95128i | 0.682659i | ||||||||
\(77\) | −3.12814 | − | 1.10215i | −0.356485 | − | 0.125601i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.05887 | + | 11.0921i | 0.906694 | + | 1.24796i | 0.968283 | + | 0.249855i | \(0.0803831\pi\) |
−0.0615893 | + | 0.998102i | \(0.519617\pi\) | |||||||
\(80\) | −1.20039 | + | 0.390029i | −0.134207 | + | 0.0436065i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.36391 | − | 4.62365i | −0.702776 | − | 0.510597i | ||||
\(83\) | −2.78744 | − | 2.02520i | −0.305962 | − | 0.222294i | 0.424200 | − | 0.905568i | \(-0.360555\pi\) |
−0.730162 | + | 0.683274i | \(0.760555\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.64291 | − | 1.83349i | 0.612059 | − | 0.198870i | ||||
\(86\) | 3.35500 | + | 4.61776i | 0.361779 | + | 0.497946i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.947019 | + | 3.17855i | 0.100953 | + | 0.338834i | ||||
\(89\) | − | 6.74959i | − | 0.715455i | −0.933826 | − | 0.357728i | \(-0.883552\pi\) | ||
0.933826 | − | 0.357728i | \(-0.116448\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.698874 | − | 2.15091i | −0.0732619 | − | 0.225477i | ||||
\(92\) | −4.11570 | − | 1.33727i | −0.429091 | − | 0.139420i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −7.54459 | + | 10.3842i | −0.778165 | + | 1.07105i | ||||
\(95\) | −2.32117 | + | 7.14383i | −0.238147 | + | 0.732941i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.44544 | − | 1.77672i | 0.248297 | − | 0.180398i | −0.456675 | − | 0.889634i | \(-0.650960\pi\) |
0.704972 | + | 0.709235i | \(0.250960\pi\) | |||||||
\(98\) | −1.00000 | −0.101015 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.40695 | 0.340695 | ||||||||
\(101\) | 3.89617 | − | 2.83073i | 0.387683 | − | 0.281668i | −0.376822 | − | 0.926286i | \(-0.622983\pi\) |
0.764505 | + | 0.644617i | \(0.222983\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.83810 | − | 11.8125i | 0.378179 | − | 1.16392i | −0.563130 | − | 0.826369i | \(-0.690403\pi\) |
0.941309 | − | 0.337547i | \(-0.109597\pi\) | |||||||
\(104\) | −1.32934 | + | 1.82967i | −0.130352 | + | 0.179414i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.11896 | + | 0.688490i | 0.205811 | + | 0.0668721i | ||||
\(107\) | 3.03598 | + | 9.34379i | 0.293499 | + | 0.903298i | 0.983721 | + | 0.179700i | \(0.0575128\pi\) |
−0.690222 | + | 0.723598i | \(0.742487\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 11.2613i | − | 1.07864i | −0.842101 | − | 0.539320i | \(-0.818681\pi\) | ||
0.842101 | − | 0.539320i | \(-0.181319\pi\) | |||||||
\(110\) | −0.102936 | + | 4.18484i | −0.00981460 | + | 0.399009i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.587785 | + | 0.809017i | 0.0555405 | + | 0.0764449i | ||||
\(113\) | −11.8113 | + | 3.83773i | −1.11112 | + | 0.361023i | −0.806371 | − | 0.591410i | \(-0.798571\pi\) |
−0.304745 | + | 0.952434i | \(0.598571\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.41885 | − | 3.21048i | −0.412060 | − | 0.299379i | ||||
\(116\) | −2.87119 | − | 2.08604i | −0.266583 | − | 0.193684i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −8.76233 | + | 2.84705i | −0.806638 | + | 0.262093i | ||||
\(119\) | −2.76313 | − | 3.80312i | −0.253296 | − | 0.348631i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.9867 | + | 0.540816i | 0.998791 | + | 0.0491651i | ||||
\(122\) | − | 1.03183i | − | 0.0934177i | ||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.633471 | − | 1.94962i | −0.0568874 | − | 0.175081i | ||||
\(125\) | 10.0916 | + | 3.27895i | 0.902618 | + | 0.293279i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.75786 | + | 10.6778i | −0.688399 | + | 0.947500i | −0.999996 | − | 0.00271414i | \(-0.999136\pi\) |
0.311597 | + | 0.950214i | \(0.399136\pi\) | |||||||
\(128\) | 0.309017 | − | 0.951057i | 0.0273135 | − | 0.0840623i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −2.30934 | + | 1.67783i | −0.202543 | + | 0.147156i | ||||
\(131\) | 9.19985 | 0.803794 | 0.401897 | − | 0.915685i | \(-0.368351\pi\) | ||||
0.401897 | + | 0.915685i | \(0.368351\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.95128 | 0.516041 | ||||||||
\(134\) | 1.48564 | − | 1.07938i | 0.128340 | − | 0.0932442i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.45266 | + | 4.47084i | −0.124565 | + | 0.383371i | ||||
\(137\) | −10.1296 | + | 13.9423i | −0.865434 | + | 1.19117i | 0.114813 | + | 0.993387i | \(0.463373\pi\) |
−0.980246 | + | 0.197780i | \(0.936627\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 9.94422 | + | 3.23107i | 0.843458 | + | 0.274056i | 0.698703 | − | 0.715411i | \(-0.253761\pi\) |
0.144755 | + | 0.989468i | \(0.453761\pi\) | |||||||
\(140\) | 0.390029 | + | 1.20039i | 0.0329634 | + | 0.101451i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 11.1149i | 0.932740i | ||||||||
\(143\) | 4.25836 | + | 6.17492i | 0.356102 | + | 0.516373i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.63292 | − | 3.62390i | −0.218652 | − | 0.300949i | ||||
\(146\) | −1.28656 | + | 0.418028i | −0.106476 | + | 0.0345963i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.31286 | + | 1.68039i | 0.190116 | + | 0.138127i | ||||
\(149\) | 10.6311 | + | 7.72395i | 0.870934 | + | 0.632770i | 0.930837 | − | 0.365434i | \(-0.119079\pi\) |
−0.0599035 | + | 0.998204i | \(0.519079\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 14.2486 | − | 4.62966i | 1.15954 | − | 0.376757i | 0.334809 | − | 0.942286i | \(-0.391328\pi\) |
0.824728 | + | 0.565529i | \(0.191328\pi\) | |||||||
\(152\) | −3.49807 | − | 4.81469i | −0.283731 | − | 0.390523i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 3.17855 | − | 0.947019i | 0.256135 | − | 0.0763130i | ||||
\(155\) | − | 2.58737i | − | 0.207823i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.28531 | + | 22.4219i | 0.581431 | + | 1.78946i | 0.613153 | + | 0.789964i | \(0.289901\pi\) |
−0.0317225 | + | 0.999497i | \(0.510099\pi\) | |||||||
\(158\) | −13.0395 | − | 4.23680i | −1.03737 | − | 0.337062i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.741879 | − | 1.02111i | 0.0586507 | − | 0.0807257i | ||||
\(161\) | −1.33727 | + | 4.11570i | −0.105392 | + | 0.324362i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.38359 | + | 4.63795i | −0.500002 | + | 0.363272i | −0.809018 | − | 0.587784i | \(-0.800000\pi\) |
0.309016 | + | 0.951057i | \(0.400000\pi\) | |||||||
\(164\) | 7.86622 | 0.614249 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.44547 | 0.267420 | ||||||||
\(167\) | 2.65123 | − | 1.92623i | 0.205158 | − | 0.149056i | −0.480462 | − | 0.877016i | \(-0.659531\pi\) |
0.685620 | + | 0.727959i | \(0.259531\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.43665 | − | 7.49923i | 0.187434 | − | 0.576864i | ||||
\(170\) | −3.48751 | + | 4.80014i | −0.267480 | + | 0.368154i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.42850 | − | 1.76383i | −0.413920 | − | 0.134491i | ||||
\(173\) | 1.63176 | + | 5.02204i | 0.124061 | + | 0.381819i | 0.993729 | − | 0.111818i | \(-0.0356673\pi\) |
−0.869668 | + | 0.493637i | \(0.835667\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 3.40695i | − | 0.257541i | ||||||
\(176\) | −2.63446 | − | 2.01485i | −0.198580 | − | 0.151875i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 3.96731 | + | 5.46054i | 0.297363 | + | 0.409284i | ||||
\(179\) | 4.16533 | − | 1.35340i | 0.311332 | − | 0.101158i | −0.149184 | − | 0.988809i | \(-0.547665\pi\) |
0.460515 | + | 0.887652i | \(0.347665\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.8971 | − | 9.37028i | −0.958633 | − | 0.696488i | −0.00580017 | − | 0.999983i | \(-0.501846\pi\) |
−0.952833 | + | 0.303496i | \(0.901846\pi\) | |||||||
\(182\) | 1.82967 | + | 1.32934i | 0.135625 | + | 0.0985370i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.11570 | − | 1.33727i | 0.303413 | − | 0.0985849i | ||||
\(185\) | 2.12092 | + | 2.91920i | 0.155933 | + | 0.214624i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 12.3844 | + | 9.47166i | 0.905634 | + | 0.692636i | ||||
\(188\) | − | 12.8356i | − | 0.936134i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.32117 | − | 7.14383i | −0.168395 | − | 0.518268i | ||||
\(191\) | −20.6792 | − | 6.71908i | −1.49629 | − | 0.486176i | −0.557360 | − | 0.830271i | \(-0.688186\pi\) |
−0.938935 | + | 0.344095i | \(0.888186\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.29264 | + | 8.66107i | −0.452954 | + | 0.623438i | −0.973029 | − | 0.230683i | \(-0.925904\pi\) |
0.520075 | + | 0.854121i | \(0.325904\pi\) | |||||||
\(194\) | −0.934076 | + | 2.87479i | −0.0670628 | + | 0.206398i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.809017 | − | 0.587785i | 0.0577869 | − | 0.0419847i | ||||
\(197\) | −11.5842 | −0.825341 | −0.412670 | − | 0.910880i | \(-0.635404\pi\) | ||||
−0.412670 | + | 0.910880i | \(0.635404\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 13.4295 | 0.951993 | 0.475996 | − | 0.879447i | \(-0.342088\pi\) | ||||
0.475996 | + | 0.879447i | \(0.342088\pi\) | |||||||
\(200\) | −2.75628 | + | 2.00256i | −0.194899 | + | 0.141602i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.48820 | + | 4.58022i | −0.104710 | + | 0.322263i | ||||
\(203\) | −2.08604 | + | 2.87119i | −0.146411 | + | 0.201518i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 9.44250 | + | 3.06805i | 0.659493 | + | 0.214282i | ||||
\(206\) | 3.83810 | + | 11.8125i | 0.267413 | + | 0.823012i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 2.26160i | − | 0.156814i | ||||||
\(209\) | −18.9164 | + | 5.63598i | −1.30848 | + | 0.389849i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −11.6882 | − | 16.0874i | −0.804649 | − | 1.10750i | −0.992127 | − | 0.125236i | \(-0.960031\pi\) |
0.187478 | − | 0.982269i | \(-0.439969\pi\) | |||||||
\(212\) | −2.11896 | + | 0.688490i | −0.145530 | + | 0.0472857i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −7.94830 | − | 5.77478i | −0.543335 | − | 0.394756i | ||||
\(215\) | −5.82835 | − | 4.23455i | −0.397490 | − | 0.288794i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.94962 | + | 0.633471i | −0.132349 | + | 0.0430028i | ||||
\(218\) | 6.61924 | + | 9.11060i | 0.448312 | + | 0.617048i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.37651 | − | 3.44611i | −0.160224 | − | 0.232337i | ||||
\(221\) | 10.6316i | 0.715159i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.74245 | − | 20.7511i | −0.451508 | − | 1.38960i | −0.875187 | − | 0.483785i | \(-0.839262\pi\) |
0.423679 | − | 0.905812i | \(-0.360738\pi\) | |||||||
\(224\) | −0.951057 | − | 0.309017i | −0.0635451 | − | 0.0206471i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 7.29980 | − | 10.0473i | 0.485575 | − | 0.668337i | ||||
\(227\) | 2.39943 | − | 7.38469i | 0.159256 | − | 0.490139i | −0.839311 | − | 0.543651i | \(-0.817042\pi\) |
0.998567 | + | 0.0535119i | \(0.0170415\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −12.2756 | + | 8.91872i | −0.811192 | + | 0.589366i | −0.914176 | − | 0.405317i | \(-0.867161\pi\) |
0.102984 | + | 0.994683i | \(0.467161\pi\) | |||||||
\(230\) | 5.46199 | 0.360153 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.54899 | 0.233002 | ||||||||
\(233\) | 5.14339 | − | 3.73689i | 0.336954 | − | 0.244812i | −0.406421 | − | 0.913686i | \(-0.633223\pi\) |
0.743376 | + | 0.668874i | \(0.233223\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.00626 | − | 15.4077i | 0.326573 | − | 1.00509i | ||||
\(236\) | 5.41542 | − | 7.45368i | 0.352514 | − | 0.485194i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 4.47084 | + | 1.45266i | 0.289801 | + | 0.0941621i | ||||
\(239\) | 7.60227 | + | 23.3974i | 0.491750 | + | 1.51345i | 0.821961 | + | 0.569543i | \(0.192880\pi\) |
−0.330212 | + | 0.943907i | \(0.607120\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 3.32191i | − | 0.213983i | −0.994260 | − | 0.106991i | \(-0.965878\pi\) | ||
0.994260 | − | 0.106991i | \(-0.0341217\pi\) | |||||||
\(242\) | −9.20631 | + | 6.02029i | −0.591804 | + | 0.386999i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.606496 | + | 0.834770i | 0.0388269 | + | 0.0534407i | ||||
\(245\) | 1.20039 | − | 0.390029i | 0.0766898 | − | 0.0249180i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −10.8889 | − | 7.91125i | −0.692844 | − | 0.503381i | ||||
\(248\) | 1.65845 | + | 1.20493i | 0.105312 | + | 0.0765133i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −10.0916 | + | 3.27895i | −0.638248 | + | 0.207379i | ||||
\(251\) | −11.7449 | − | 16.1655i | −0.741332 | − | 1.02036i | −0.998541 | − | 0.0540006i | \(-0.982803\pi\) |
0.257209 | − | 0.966356i | \(-0.417197\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.352933 | − | 14.3484i | 0.0221887 | − | 0.902073i | ||||
\(254\) | − | 13.1985i | − | 0.828146i | ||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 2.45562 | + | 0.797880i | 0.153178 | + | 0.0497704i | 0.384602 | − | 0.923082i | \(-0.374339\pi\) |
−0.231425 | + | 0.972853i | \(0.574339\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.68039 | − | 2.31286i | 0.104414 | − | 0.143714i | ||||
\(260\) | 0.882090 | − | 2.71479i | 0.0547049 | − | 0.168364i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −7.44283 | + | 5.40753i | −0.459820 | + | 0.334079i | ||||
\(263\) | −0.660800 | −0.0407467 | −0.0203733 | − | 0.999792i | \(-0.506485\pi\) | ||||
−0.0203733 | + | 0.999792i | \(0.506485\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.81209 | −0.172746 | ||||||||
\(266\) | −4.81469 | + | 3.49807i | −0.295207 | + | 0.214481i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.567464 | + | 1.74647i | −0.0346634 | + | 0.106683i | ||||
\(269\) | 5.07675 | − | 6.98754i | 0.309535 | − | 0.426038i | −0.625701 | − | 0.780063i | \(-0.715187\pi\) |
0.935236 | + | 0.354025i | \(0.115187\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −24.9802 | − | 8.11656i | −1.51744 | − | 0.493046i | −0.572392 | − | 0.819980i | \(-0.693985\pi\) |
−0.945047 | + | 0.326934i | \(0.893985\pi\) | |||||||
\(272\) | −1.45266 | − | 4.47084i | −0.0880806 | − | 0.271084i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 17.2336i | − | 1.04112i | ||||||
\(275\) | 3.22645 | + | 10.8292i | 0.194562 | + | 0.653023i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.3659 | + | 15.6438i | 0.682910 | + | 0.939945i | 0.999964 | − | 0.00846238i | \(-0.00269369\pi\) |
−0.317054 | + | 0.948407i | \(0.602694\pi\) | |||||||
\(278\) | −9.94422 | + | 3.23107i | −0.596415 | + | 0.193787i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.02111 | − | 0.741879i | −0.0610229 | − | 0.0443357i | ||||
\(281\) | −24.8924 | − | 18.0854i | −1.48495 | − | 1.07888i | −0.975918 | − | 0.218138i | \(-0.930002\pi\) |
−0.509036 | − | 0.860745i | \(-0.669998\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.4708 | + | 3.40217i | −0.622425 | + | 0.202238i | −0.603217 | − | 0.797577i | \(-0.706115\pi\) |
−0.0192086 | + | 0.999815i | \(0.506115\pi\) | |||||||
\(284\) | −6.53316 | − | 8.99213i | −0.387672 | − | 0.533585i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −7.07461 | − | 2.49262i | −0.418331 | − | 0.147392i | ||||
\(287\) | − | 7.86622i | − | 0.464328i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.57555 | + | 4.84906i | 0.0926796 | + | 0.285239i | ||||
\(290\) | 4.26015 | + | 1.38421i | 0.250165 | + | 0.0812835i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.795137 | − | 1.09441i | 0.0465319 | − | 0.0640456i | ||||
\(293\) | −5.75403 | + | 17.7091i | −0.336154 | + | 1.03458i | 0.629997 | + | 0.776598i | \(0.283056\pi\) |
−0.966151 | + | 0.257978i | \(0.916944\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.40774 | − | 6.83512i | 0.547740 | − | 0.397956i | ||||
\(296\) | −2.85885 | −0.166167 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −13.1408 | −0.761224 | ||||||||
\(299\) | 7.91792 | − | 5.75270i | 0.457905 | − | 0.332687i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.76383 | + | 5.42850i | −0.101665 | + | 0.312894i | ||||
\(302\) | −8.80614 | + | 12.1206i | −0.506736 | + | 0.697463i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 5.66000 | + | 1.83905i | 0.324623 | + | 0.105477i | ||||
\(305\) | 0.402444 | + | 1.23860i | 0.0230439 | + | 0.0709218i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 18.9134i | − | 1.07944i | −0.841844 | − | 0.539721i | \(-0.818530\pi\) | ||
0.841844 | − | 0.539721i | \(-0.181470\pi\) | |||||||
\(308\) | −2.01485 | + | 2.63446i | −0.114807 | + | 0.150112i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.52082 | + | 2.09323i | 0.0863767 | + | 0.118887i | ||||
\(311\) | 20.7892 | − | 6.75481i | 1.17885 | − | 0.383030i | 0.346908 | − | 0.937899i | \(-0.387232\pi\) |
0.831938 | + | 0.554869i | \(0.187232\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.50307 | − | 3.27167i | −0.254528 | − | 0.184926i | 0.453203 | − | 0.891407i | \(-0.350281\pi\) |
−0.707731 | + | 0.706482i | \(0.750281\pi\) | |||||||
\(314\) | −19.0732 | − | 13.8575i | −1.07636 | − | 0.782023i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 13.0395 | − | 4.23680i | 0.733531 | − | 0.238339i | ||||
\(317\) | −4.53807 | − | 6.24612i | −0.254883 | − | 0.350817i | 0.662331 | − | 0.749212i | \(-0.269567\pi\) |
−0.917214 | + | 0.398395i | \(0.869567\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.91151 | − | 11.1017i | 0.219002 | − | 0.621578i | ||||
\(320\) | 1.26216i | 0.0705569i | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.33727 | − | 4.11570i | −0.0745232 | − | 0.229359i | ||||
\(323\) | −26.6072 | − | 8.64520i | −1.48046 | − | 0.481032i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.52899 | + | 6.23362i | −0.251223 | + | 0.345779i | ||||
\(326\) | 2.43832 | − | 7.50436i | 0.135046 | − | 0.415628i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −6.36391 | + | 4.62365i | −0.351388 | + | 0.255298i | ||||
\(329\) | −12.8356 | −0.707651 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −16.8302 | −0.925070 | −0.462535 | − | 0.886601i | \(-0.653060\pi\) | ||||
−0.462535 | + | 0.886601i | \(0.653060\pi\) | |||||||
\(332\) | −2.78744 | + | 2.02520i | −0.152981 | + | 0.111147i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.01268 | + | 3.11671i | −0.0554114 | + | 0.170539i | ||||
\(335\) | −1.36235 | + | 1.87511i | −0.0744331 | + | 0.102448i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −6.53461 | − | 2.12322i | −0.355963 | − | 0.115659i | 0.125576 | − | 0.992084i | \(-0.459922\pi\) |
−0.481539 | + | 0.876425i | \(0.659922\pi\) | |||||||
\(338\) | 2.43665 | + | 7.49923i | 0.132536 | + | 0.407904i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | − | 5.93330i | − | 0.321779i | ||||||
\(341\) | 5.59706 | − | 3.85985i | 0.303098 | − | 0.209022i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.587785 | − | 0.809017i | −0.0317374 | − | 0.0436828i | ||||
\(344\) | 5.42850 | − | 1.76383i | 0.292685 | − | 0.0950992i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −4.27201 | − | 3.10379i | −0.229664 | − | 0.166861i | ||||
\(347\) | −7.72783 | − | 5.61460i | −0.414852 | − | 0.301407i | 0.360711 | − | 0.932677i | \(-0.382534\pi\) |
−0.775563 | + | 0.631270i | \(0.782534\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 18.8527 | − | 6.12560i | 1.00916 | − | 0.327896i | 0.242640 | − | 0.970116i | \(-0.421987\pi\) |
0.766520 | + | 0.642220i | \(0.221987\pi\) | |||||||
\(350\) | 2.00256 | + | 2.75628i | 0.107041 | + | 0.147330i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 3.31562 | + | 0.0815558i | 0.176723 | + | 0.00434694i | ||||
\(353\) | 22.7576i | 1.21127i | 0.795744 | + | 0.605633i | \(0.207080\pi\) | ||||
−0.795744 | + | 0.605633i | \(0.792920\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.33512 | − | 13.3421i | −0.230084 | − | 0.708127i | ||||
\(356\) | −6.41924 | − | 2.08574i | −0.340219 | − | 0.110544i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.57432 | + | 3.54324i | −0.136057 | + | 0.187266i | ||||
\(359\) | −5.02591 | + | 15.4682i | −0.265258 | + | 0.816379i | 0.726376 | + | 0.687297i | \(0.241203\pi\) |
−0.991634 | + | 0.129082i | \(0.958797\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 13.2822 | − | 9.65009i | 0.699064 | − | 0.507900i | ||||
\(362\) | 15.9417 | 0.837876 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.26160 | −0.118540 | ||||||||
\(365\) | 1.38132 | − | 1.00359i | 0.0723017 | − | 0.0525303i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.37309 | + | 25.7697i | −0.437072 | + | 1.34517i | 0.453877 | + | 0.891064i | \(0.350041\pi\) |
−0.890949 | + | 0.454104i | \(0.849959\pi\) | |||||||
\(368\) | −2.54364 | + | 3.50102i | −0.132596 | + | 0.182503i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −3.43172 | − | 1.11503i | −0.178407 | − | 0.0579679i | ||||
\(371\) | 0.688490 | + | 2.11896i | 0.0357446 | + | 0.110011i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.966539i | 0.0500455i | 0.999687 | + | 0.0250227i | \(0.00796582\pi\) | ||||
−0.999687 | + | 0.0250227i | \(0.992034\pi\) | |||||||
\(374\) | −15.5865 | − | 0.383387i | −0.805956 | − | 0.0198245i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 7.54459 | + | 10.3842i | 0.389083 | + | 0.535526i | ||||
\(377\) | 7.63356 | − | 2.48029i | 0.393148 | − | 0.127742i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −30.0985 | − | 21.8679i | −1.54606 | − | 1.12328i | −0.946390 | − | 0.323026i | \(-0.895300\pi\) |
−0.599667 | − | 0.800250i | \(-0.704700\pi\) | |||||||
\(380\) | 6.07690 | + | 4.41513i | 0.311739 | + | 0.226491i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 20.6792 | − | 6.71908i | 1.05804 | − | 0.343778i | ||||
\(383\) | −14.4905 | − | 19.9445i | −0.740430 | − | 1.01911i | −0.998594 | − | 0.0530135i | \(-0.983117\pi\) |
0.258164 | − | 0.966101i | \(-0.416883\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.44611 | + | 2.37651i | −0.175630 | + | 0.121118i | ||||
\(386\) | − | 10.7057i | − | 0.544905i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.934076 | − | 2.87479i | −0.0474205 | − | 0.145945i | ||||
\(389\) | −29.9322 | − | 9.72556i | −1.51762 | − | 0.493106i | −0.572523 | − | 0.819888i | \(-0.694035\pi\) |
−0.945099 | + | 0.326783i | \(0.894035\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 11.9574 | − | 16.4580i | 0.604714 | − | 0.832317i | ||||
\(392\) | −0.309017 | + | 0.951057i | −0.0156077 | + | 0.0480356i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 9.37182 | − | 6.80903i | 0.472146 | − | 0.343034i | ||||
\(395\) | 17.3049 | 0.870705 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −4.05765 | −0.203647 | −0.101824 | − | 0.994802i | \(-0.532468\pi\) | ||||
−0.101824 | + | 0.994802i | \(0.532468\pi\) | |||||||
\(398\) | −10.8647 | + | 7.89367i | −0.544598 | + | 0.395674i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.05281 | − | 3.24020i | 0.0526403 | − | 0.162010i | ||||
\(401\) | 22.4447 | − | 30.8925i | 1.12084 | − | 1.54270i | 0.316434 | − | 0.948614i | \(-0.397514\pi\) |
0.804402 | − | 0.594085i | \(-0.202486\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 4.40927 | + | 1.43266i | 0.219641 | + | 0.0713658i | ||||
\(404\) | −1.48820 | − | 4.58022i | −0.0740409 | − | 0.227875i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | − | 3.54899i | − | 0.176133i | ||||||
\(407\) | −3.15088 | + | 8.94289i | −0.156183 | + | 0.443283i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 14.6728 | + | 20.1954i | 0.725522 | + | 0.998596i | 0.999322 | + | 0.0368092i | \(0.0117194\pi\) |
−0.273800 | + | 0.961787i | \(0.588281\pi\) | |||||||
\(410\) | −9.44250 | + | 3.06805i | −0.466332 | + | 0.151520i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −10.0483 | − | 7.30050i | −0.495043 | − | 0.359670i | ||||
\(413\) | −7.45368 | − | 5.41542i | −0.366772 | − | 0.266475i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.13589 | + | 1.34383i | −0.203023 | + | 0.0659661i | ||||
\(416\) | 1.32934 | + | 1.82967i | 0.0651761 | + | 0.0897072i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 11.9910 | − | 15.6784i | 0.586497 | − | 0.766855i | ||||
\(419\) | 12.0131i | 0.586876i | 0.955978 | + | 0.293438i | \(0.0947994\pi\) | ||||
−0.955978 | + | 0.293438i | \(0.905201\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 7.09545 | + | 21.8375i | 0.345811 | + | 1.06430i | 0.961148 | + | 0.276033i | \(0.0890198\pi\) |
−0.615337 | + | 0.788264i | \(0.710980\pi\) | |||||||
\(422\) | 18.9119 | + | 6.14485i | 0.920617 | + | 0.299127i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.30959 | − | 1.80249i | 0.0635991 | − | 0.0875367i | ||||
\(425\) | −4.94915 | + | 15.2319i | −0.240069 | + | 0.738857i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.834770 | − | 0.606496i | 0.0403973 | − | 0.0293504i | ||||
\(428\) | 9.82464 | 0.474892 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 7.20424 | 0.347419 | ||||||||
\(431\) | −17.4674 | + | 12.6908i | −0.841376 | + | 0.611296i | −0.922755 | − | 0.385388i | \(-0.874068\pi\) |
0.0813785 | + | 0.996683i | \(0.474068\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −3.19036 | + | 9.81890i | −0.153319 | + | 0.471866i | −0.997987 | − | 0.0634242i | \(-0.979798\pi\) |
0.844668 | + | 0.535291i | \(0.179798\pi\) | |||||||
\(434\) | 1.20493 | − | 1.65845i | 0.0578387 | − | 0.0796081i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.7102 | − | 3.47994i | −0.512923 | − | 0.166659i | ||||
\(437\) | 7.95847 | + | 24.4937i | 0.380705 | + | 1.17169i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 10.6518i | − | 0.508382i | −0.967154 | − | 0.254191i | \(-0.918191\pi\) | ||
0.967154 | − | 0.254191i | \(-0.0818092\pi\) | |||||||
\(440\) | 3.94821 | + | 1.39109i | 0.188224 | + | 0.0663174i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −6.24910 | − | 8.60114i | −0.297239 | − | 0.409115i | ||||
\(443\) | 20.8361 | − | 6.77007i | 0.989955 | − | 0.321656i | 0.231110 | − | 0.972928i | \(-0.425764\pi\) |
0.758845 | + | 0.651272i | \(0.225764\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.89207 | − | 5.00738i | −0.326715 | − | 0.237373i | ||||
\(446\) | 17.6520 | + | 12.8249i | 0.835844 | + | 0.607276i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.951057 | − | 0.309017i | 0.0449332 | − | 0.0145997i | ||||
\(449\) | −17.5311 | − | 24.1295i | −0.827344 | − | 1.13874i | −0.988412 | − | 0.151798i | \(-0.951494\pi\) |
0.161067 | − | 0.986943i | \(-0.448506\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.44947 | + | 25.0032i | 0.350782 | + | 1.17735i | ||||
\(452\) | 12.4192i | 0.584148i | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.39943 | + | 7.38469i | 0.112611 | + | 0.346581i | ||||
\(455\) | −2.71479 | − | 0.882090i | −0.127271 | − | 0.0413530i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −23.4611 | + | 32.2914i | −1.09746 | + | 1.51053i | −0.258755 | + | 0.965943i | \(0.583312\pi\) |
−0.838706 | + | 0.544584i | \(0.816688\pi\) | |||||||
\(458\) | 4.68885 | − | 14.4308i | 0.219095 | − | 0.674307i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −4.41885 | + | 3.21048i | −0.206030 | + | 0.149689i | ||||
\(461\) | 3.70574 | 0.172593 | 0.0862967 | − | 0.996269i | \(-0.472497\pi\) | ||||
0.0862967 | + | 0.996269i | \(0.472497\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.33299 | −0.387267 | −0.193633 | − | 0.981074i | \(-0.562027\pi\) | ||||
−0.193633 | + | 0.981074i | \(0.562027\pi\) | |||||||
\(464\) | −2.87119 | + | 2.08604i | −0.133292 | + | 0.0968421i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.96460 | + | 6.04641i | −0.0910083 | + | 0.280095i | ||||
\(467\) | 3.71253 | − | 5.10986i | 0.171796 | − | 0.236456i | −0.714434 | − | 0.699703i | \(-0.753316\pi\) |
0.886229 | + | 0.463247i | \(0.153316\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.74647 | + | 0.567464i | 0.0806447 | + | 0.0262030i | ||||
\(470\) | 5.00626 | + | 15.4077i | 0.230922 | + | 0.710704i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 9.21326i | 0.424075i | ||||||||
\(473\) | 0.465510 | − | 18.9251i | 0.0214042 | − | 0.870178i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −11.9178 | − | 16.4034i | −0.546825 | − | 0.752640i | ||||
\(476\) | −4.47084 | + | 1.45266i | −0.204920 | + | 0.0665827i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −19.9030 | − | 14.4604i | −0.910342 | − | 0.661402i | ||||
\(479\) | −8.78231 | − | 6.38072i | −0.401274 | − | 0.291543i | 0.368786 | − | 0.929514i | \(-0.379774\pi\) |
−0.770060 | + | 0.637972i | \(0.779774\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.14914 | + | 1.99798i | −0.280377 | + | 0.0910999i | ||||
\(482\) | 1.95257 | + | 2.68748i | 0.0889370 | + | 0.122411i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.90942 | − | 10.2818i | 0.177701 | − | 0.467357i | ||||
\(485\) | − | 3.81517i | − | 0.173238i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.566271 | + | 1.74280i | 0.0256602 | + | 0.0789739i | 0.963067 | − | 0.269264i | \(-0.0867803\pi\) |
−0.937406 | + | 0.348237i | \(0.886780\pi\) | |||||||
\(488\) | −0.981331 | − | 0.318854i | −0.0444228 | − | 0.0144338i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.741879 | + | 1.02111i | −0.0335147 | + | 0.0461290i | ||||
\(491\) | 4.66453 | − | 14.3560i | 0.210507 | − | 0.647875i | −0.788935 | − | 0.614477i | \(-0.789367\pi\) |
0.999442 | − | 0.0333981i | \(-0.0106329\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 13.4972 | − | 9.80631i | 0.607884 | − | 0.441654i | ||||
\(494\) | 13.4594 | 0.605568 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.04996 | −0.0920457 | ||||||||
\(497\) | −8.99213 | + | 6.53316i | −0.403352 | + | 0.293052i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −10.2855 | + | 31.6557i | −0.460444 | + | 1.41710i | 0.404178 | + | 0.914680i | \(0.367558\pi\) |
−0.864623 | + | 0.502422i | \(0.832442\pi\) | |||||||
\(500\) | 6.23694 | − | 8.58441i | 0.278924 | − | 0.383907i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 19.0037 | + | 6.17467i | 0.848175 | + | 0.275589i | ||||
\(503\) | 0.193083 | + | 0.594250i | 0.00860917 | + | 0.0264963i | 0.955269 | − | 0.295739i | \(-0.0955658\pi\) |
−0.946660 | + | 0.322235i | \(0.895566\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | − | 6.07847i | − | 0.270488i | ||||||
\(506\) | 8.14822 | + | 11.8155i | 0.362233 | + | 0.525263i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 7.75786 | + | 10.6778i | 0.344200 | + | 0.473750i | ||||
\(509\) | −15.1033 | + | 4.90737i | −0.669444 | + | 0.217516i | −0.623968 | − | 0.781450i | \(-0.714480\pi\) |
−0.0454760 | + | 0.998965i | \(0.514480\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.09441 | − | 0.795137i | −0.0484139 | − | 0.0351748i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −2.45562 | + | 0.797880i | −0.108313 | + | 0.0351930i | ||||
\(515\) | −9.21439 | − | 12.6825i | −0.406035 | − | 0.558859i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 40.7986 | − | 12.1556i | 1.79432 | − | 0.534602i | ||||
\(518\) | 2.85885i | 0.125611i | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.882090 | + | 2.71479i | 0.0386822 | + | 0.119052i | ||||
\(521\) | 5.70147 | + | 1.85252i | 0.249786 | + | 0.0811604i | 0.431234 | − | 0.902240i | \(-0.358078\pi\) |
−0.181448 | + | 0.983401i | \(0.558078\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −18.9478 | + | 26.0794i | −0.828530 | + | 1.14037i | 0.159665 | + | 0.987171i | \(0.448959\pi\) |
−0.988195 | + | 0.153203i | \(0.951041\pi\) | |||||||
\(524\) | 2.84291 | − | 8.74957i | 0.124193 | − | 0.382227i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.534598 | − | 0.388408i | 0.0233096 | − | 0.0169354i | ||||
\(527\) | 9.63666 | 0.419780 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 4.27275 | 0.185772 | ||||||||
\(530\) | 2.27503 | − | 1.65291i | 0.0988211 | − | 0.0717977i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.83905 | − | 5.66000i | 0.0797328 | − | 0.245392i | ||||
\(533\) | −10.4569 | + | 14.3926i | −0.452937 | + | 0.623414i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 11.7934 | + | 3.83189i | 0.509871 | + | 0.165667i | ||||
\(536\) | −0.567464 | − | 1.74647i | −0.0245107 | − | 0.0754362i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 8.63708i | 0.372371i | ||||||||
\(539\) | 2.63446 | + | 2.01485i | 0.113474 | + | 0.0867859i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6.78381 | − | 9.33711i | −0.291659 | − | 0.401434i | 0.637893 | − | 0.770125i | \(-0.279806\pi\) |
−0.929552 | + | 0.368691i | \(0.879806\pi\) | |||||||
\(542\) | 24.9802 | − | 8.11656i | 1.07299 | − | 0.348636i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.80312 | + | 2.76313i | 0.163057 | + | 0.118468i | ||||
\(545\) | −11.4990 | − | 8.35454i | −0.492565 | − | 0.357869i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −39.9851 | + | 12.9919i | −1.70964 | + | 0.555496i | −0.990273 | − | 0.139136i | \(-0.955568\pi\) |
−0.719366 | + | 0.694631i | \(0.755568\pi\) | |||||||
\(548\) | 10.1296 | + | 13.9423i | 0.432717 | + | 0.595584i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −8.97547 | − | 6.86451i | −0.382715 | − | 0.292704i | ||||
\(551\) | 21.1210i | 0.899786i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.23680 | − | 13.0395i | −0.180167 | − | 0.554497i | ||||
\(554\) | −18.3904 | − | 5.97540i | −0.781333 | − | 0.253870i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 6.14587 | − | 8.45906i | 0.260643 | − | 0.358744i | ||||
\(557\) | −8.70871 | + | 26.8026i | −0.369000 | + | 1.13566i | 0.578439 | + | 0.815726i | \(0.303662\pi\) |
−0.947438 | + | 0.319938i | \(0.896338\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 10.4435 | − | 7.58767i | 0.441715 | − | 0.320924i | ||||
\(560\) | 1.26216 | 0.0533360 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 30.7687 | 1.29790 | ||||||||
\(563\) | 17.1548 | − | 12.4637i | 0.722987 | − | 0.525281i | −0.164350 | − | 0.986402i | \(-0.552553\pi\) |
0.887337 | + | 0.461121i | \(0.152553\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.84383 | + | 14.9078i | −0.203781 | + | 0.627175i | ||||
\(566\) | 6.47132 | − | 8.90701i | 0.272010 | − | 0.374390i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 10.5709 | + | 3.43469i | 0.443544 | + | 0.144116i | ||||
\(569\) | −2.47020 | − | 7.60250i | −0.103556 | − | 0.318713i | 0.885833 | − | 0.464005i | \(-0.153588\pi\) |
−0.989389 | + | 0.145292i | \(0.953588\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 11.2855i | − | 0.472284i | −0.971719 | − | 0.236142i | \(-0.924117\pi\) | ||
0.971719 | − | 0.236142i | \(-0.0758830\pi\) | |||||||
\(572\) | 7.18861 | − | 2.14178i | 0.300571 | − | 0.0895524i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 4.62365 | + | 6.36391i | 0.192987 | + | 0.265624i | ||||
\(575\) | 14.0220 | − | 4.55602i | 0.584757 | − | 0.189999i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −35.5443 | − | 25.8244i | −1.47973 | − | 1.07509i | −0.977644 | − | 0.210267i | \(-0.932567\pi\) |
−0.502085 | − | 0.864818i | \(-0.667433\pi\) | |||||||
\(578\) | −4.12485 | − | 2.99688i | −0.171571 | − | 0.124654i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −4.26015 | + | 1.38421i | −0.176893 | + | 0.0574761i | ||||
\(581\) | 2.02520 | + | 2.78744i | 0.0840193 | + | 0.115643i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.19509 | − | 6.08318i | −0.173743 | − | 0.251940i | ||||
\(584\) | 1.35277i | 0.0559779i | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −5.75403 | − | 17.7091i | −0.237697 | − | 0.731555i | ||||
\(587\) | 15.0479 | + | 4.88936i | 0.621093 | + | 0.201805i | 0.602626 | − | 0.798024i | \(-0.294121\pi\) |
0.0184676 | + | 0.999829i | \(0.494121\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −7.17090 | + | 9.86989i | −0.295472 | + | 0.406682i | ||||
\(590\) | −3.59344 | + | 11.0595i | −0.147939 | + | 0.455311i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 2.31286 | − | 1.68039i | 0.0950580 | − | 0.0690636i | ||||
\(593\) | 16.3163 | 0.670032 | 0.335016 | − | 0.942212i | \(-0.391258\pi\) | ||||
0.335016 | + | 0.942212i | \(0.391258\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −5.93330 | −0.243242 | ||||||||
\(596\) | 10.6311 | − | 7.72395i | 0.435467 | − | 0.316385i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −3.02437 | + | 9.30807i | −0.123676 | + | 0.380635i | ||||
\(599\) | 11.0918 | − | 15.2666i | 0.453199 | − | 0.623774i | −0.519882 | − | 0.854238i | \(-0.674024\pi\) |
0.973081 | + | 0.230463i | \(0.0740242\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 32.2356 | + | 10.4740i | 1.31492 | + | 0.427243i | 0.880747 | − | 0.473587i | \(-0.157041\pi\) |
0.434172 | + | 0.900830i | \(0.357041\pi\) | |||||||
\(602\) | −1.76383 | − | 5.42850i | −0.0718883 | − | 0.221249i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | − | 14.9819i | − | 0.609605i | ||||||
\(605\) | 8.70303 | − | 10.8174i | 0.353828 | − | 0.439789i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 13.3345 | + | 18.3534i | 0.541231 | + | 0.744941i | 0.988790 | − | 0.149314i | \(-0.0477064\pi\) |
−0.447558 | + | 0.894255i | \(0.647706\pi\) | |||||||
\(608\) | −5.66000 | + | 1.83905i | −0.229543 | + | 0.0745832i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.05361 | − | 0.765494i | −0.0426595 | − | 0.0309940i | ||||
\(611\) | 23.4850 | + | 17.0629i | 0.950102 | + | 0.690290i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −4.72196 | + | 1.53426i | −0.190718 | + | 0.0619681i | −0.402819 | − | 0.915280i | \(-0.631970\pi\) |
0.212101 | + | 0.977248i | \(0.431970\pi\) | |||||||
\(614\) | 11.1170 | + | 15.3012i | 0.448645 | + | 0.617508i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.0815558 | − | 3.31562i | 0.00328598 | − | 0.133590i | ||||
\(617\) | 9.70050i | 0.390527i | 0.980751 | + | 0.195264i | \(0.0625563\pi\) | ||||
−0.980751 | + | 0.195264i | \(0.937444\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 13.0812 | + | 40.2597i | 0.525776 | + | 1.61817i | 0.762776 | + | 0.646663i | \(0.223836\pi\) |
−0.237000 | + | 0.971510i | \(0.576164\pi\) | |||||||
\(620\) | −2.46074 | − | 0.799542i | −0.0988255 | − | 0.0321104i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −12.8484 | + | 17.6843i | −0.515174 | + | 0.709077i | ||||
\(623\) | −2.08574 | + | 6.41924i | −0.0835634 | + | 0.257182i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.94652 | + | 2.14077i | −0.117861 | + | 0.0856308i | ||||
\(626\) | 5.56610 | 0.222466 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 23.5758 | 0.940775 | ||||||||
\(629\) | −10.8726 | + | 7.89937i | −0.433517 | + | 0.314969i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 6.85685 | − | 21.1032i | 0.272967 | − | 0.840105i | −0.716783 | − | 0.697296i | \(-0.754386\pi\) |
0.989750 | − | 0.142809i | \(-0.0456136\pi\) | |||||||
\(632\) | −8.05887 | + | 11.0921i | −0.320565 | + | 0.441219i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 7.34275 | + | 2.38580i | 0.291618 | + | 0.0947524i | ||||
\(635\) | 5.14778 | + | 15.8432i | 0.204284 | + | 0.628720i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.26160i | 0.0896079i | ||||||||
\(638\) | 3.36096 | + | 11.2806i | 0.133062 | + | 0.446604i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.741879 | − | 1.02111i | −0.0293253 | − | 0.0403629i | ||||
\(641\) | 6.30284 | − | 2.04792i | 0.248947 | − | 0.0808879i | −0.181885 | − | 0.983320i | \(-0.558220\pi\) |
0.430833 | + | 0.902432i | \(0.358220\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 15.8308 | + | 11.5017i | 0.624304 | + | 0.453583i | 0.854422 | − | 0.519579i | \(-0.173911\pi\) |
−0.230118 | + | 0.973163i | \(0.573911\pi\) | |||||||
\(644\) | 3.50102 | + | 2.54364i | 0.137960 | + | 0.100233i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 26.6072 | − | 8.64520i | 1.04685 | − | 0.340141i | ||||
\(647\) | 16.5477 | + | 22.7759i | 0.650556 | + | 0.895413i | 0.999123 | − | 0.0418707i | \(-0.0133317\pi\) |
−0.348567 | + | 0.937284i | \(0.613332\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 28.8204 | + | 10.1544i | 1.13130 | + | 0.398594i | ||||
\(650\) | − | 7.70517i | − | 0.302222i | ||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 2.43832 | + | 7.50436i | 0.0954918 | + | 0.293894i | ||||
\(653\) | −7.49022 | − | 2.43372i | −0.293115 | − | 0.0952389i | 0.158768 | − | 0.987316i | \(-0.449248\pi\) |
−0.451883 | + | 0.892077i | \(0.649248\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 6.82517 | − | 9.39404i | 0.266681 | − | 0.367056i | ||||
\(656\) | 2.43080 | − | 7.48122i | 0.0949067 | − | 0.292093i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 10.3842 | − | 7.54459i | 0.404820 | − | 0.294119i | ||||
\(659\) | −24.5444 | −0.956116 | −0.478058 | − | 0.878328i | \(-0.658659\pi\) | ||||
−0.478058 | + | 0.878328i | \(0.658659\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.35261 | 0.169297 | 0.0846484 | − | 0.996411i | \(-0.473023\pi\) | ||||
0.0846484 | + | 0.996411i | \(0.473023\pi\) | |||||||
\(662\) | 13.6159 | − | 9.89252i | 0.529197 | − | 0.384484i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.06471 | − | 3.27684i | 0.0413187 | − | 0.127166i | ||||
\(665\) | 4.41513 | − | 6.07690i | 0.171211 | − | 0.235652i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −14.6066 | − | 4.74596i | −0.565568 | − | 0.183764i | ||||
\(668\) | −1.01268 | − | 3.11671i | −0.0391818 | − | 0.120589i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | − | 2.31777i | − | 0.0895432i | ||||||
\(671\) | −2.07899 | + | 2.71832i | −0.0802586 | + | 0.104939i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 29.3355 | + | 40.3768i | 1.13080 | + | 1.55641i | 0.786543 | + | 0.617536i | \(0.211869\pi\) |
0.344257 | + | 0.938876i | \(0.388131\pi\) | |||||||
\(674\) | 6.53461 | − | 2.12322i | 0.251704 | − | 0.0817835i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −6.37922 | − | 4.63478i | −0.245355 | − | 0.178261i | ||||
\(677\) | −24.3249 | − | 17.6731i | −0.934883 | − | 0.679232i | 0.0123006 | − | 0.999924i | \(-0.496084\pi\) |
−0.947183 | + | 0.320692i | \(0.896084\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.87479 | + | 0.934076i | −0.110324 | + | 0.0358466i | ||||
\(680\) | 3.48751 | + | 4.80014i | 0.133740 | + | 0.184077i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −2.25935 | + | 6.41255i | −0.0865151 | + | 0.245549i | ||||
\(683\) | − | 15.7616i | − | 0.603100i | −0.953450 | − | 0.301550i | \(-0.902496\pi\) | ||
0.953450 | − | 0.301550i | \(-0.0975039\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.72159 | + | 20.6869i | 0.256819 | + | 0.790407i | ||||
\(686\) | 0.951057 | + | 0.309017i | 0.0363115 | + | 0.0117983i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −3.35500 | + | 4.61776i | −0.127908 | + | 0.176050i | ||||
\(689\) | 1.55709 | − | 4.79223i | 0.0593205 | − | 0.182570i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −35.5140 | + | 25.8024i | −1.35102 | + | 0.981571i | −0.352057 | + | 0.935979i | \(0.614518\pi\) |
−0.998960 | + | 0.0455924i | \(0.985482\pi\) | |||||||
\(692\) | 5.28049 | 0.200734 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 9.55212 | 0.362594 | ||||||||
\(695\) | 10.6767 | − | 7.75707i | 0.404990 | − | 0.294242i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −11.4270 | + | 35.1686i | −0.432827 | + | 1.33211i | ||||
\(698\) | −11.6516 | + | 16.0370i | −0.441019 | + | 0.607011i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −3.24020 | − | 1.05281i | −0.122468 | − | 0.0397923i | ||||
\(701\) | −6.52300 | − | 20.0757i | −0.246370 | − | 0.758249i | −0.995408 | − | 0.0957222i | \(-0.969484\pi\) |
0.749038 | − | 0.662527i | \(-0.230516\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 17.0138i | − | 0.641689i | ||||||
\(704\) | −2.73033 | + | 1.88289i | −0.102903 | + | 0.0709642i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −13.3766 | − | 18.4113i | −0.503434 | − | 0.692918i | ||||
\(707\) | −4.58022 | + | 1.48820i | −0.172257 | + | 0.0559697i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 25.6530 | + | 18.6380i | 0.963418 | + | 0.699964i | 0.953942 | − | 0.299991i | \(-0.0969836\pi\) |
0.00947612 | + | 0.999955i | \(0.496984\pi\) | |||||||
\(710\) | 11.3495 | + | 8.24589i | 0.425939 | + | 0.309463i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 6.41924 | − | 2.08574i | 0.240571 | − | 0.0781664i | ||||
\(713\) | −5.21435 | − | 7.17693i | −0.195279 | − | 0.268778i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 9.46445 | + | 0.232801i | 0.353950 | + | 0.00870627i | ||||
\(716\) | − | 4.37969i | − | 0.163677i | ||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −5.02591 | − | 15.4682i | −0.187565 | − | 0.577267i | ||||
\(719\) | 13.2477 | + | 4.30442i | 0.494054 | + | 0.160528i | 0.545438 | − | 0.838151i | \(-0.316363\pi\) |
−0.0513841 | + | 0.998679i | \(0.516363\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −7.30050 | + | 10.0483i | −0.271885 | + | 0.374217i | ||||
\(722\) | −5.07335 | + | 15.6142i | −0.188811 | + | 0.581100i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −12.8971 | + | 9.37028i | −0.479317 | + | 0.348244i | ||||
\(725\) | 12.0912 | 0.449057 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −30.2218 | −1.12086 | −0.560432 | − | 0.828201i | \(-0.689365\pi\) | ||||
−0.560432 | + | 0.828201i | \(0.689365\pi\) | |||||||
\(728\) | 1.82967 | − | 1.32934i | 0.0678123 | − | 0.0492685i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.527618 | + | 1.62384i | −0.0195280 | + | 0.0601011i | ||||
\(731\) | 15.7716 | − | 21.7077i | 0.583332 | − | 0.802888i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 9.26370 | + | 3.00996i | 0.342163 | + | 0.111175i | 0.475057 | − | 0.879955i | \(-0.342427\pi\) |
−0.132895 | + | 0.991130i | \(0.542427\pi\) | |||||||
\(734\) | −8.37309 | − | 25.7697i | −0.309056 | − | 0.951178i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 4.32750i | − | 0.159514i | ||||||
\(737\) | −6.08865 | − | 0.149765i | −0.224278 | − | 0.00551667i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −16.5420 | − | 22.7681i | −0.608506 | − | 0.837537i | 0.387947 | − | 0.921682i | \(-0.373184\pi\) |
−0.996454 | + | 0.0841444i | \(0.973184\pi\) | |||||||
\(740\) | 3.43172 | − | 1.11503i | 0.126153 | − | 0.0409895i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.80249 | − | 1.30959i | −0.0661715 | − | 0.0480764i | ||||
\(743\) | −23.8486 | − | 17.3270i | −0.874920 | − | 0.635666i | 0.0569829 | − | 0.998375i | \(-0.481852\pi\) |
−0.931902 | + | 0.362709i | \(0.881852\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 15.7740 | − | 5.12528i | 0.577914 | − | 0.187776i | ||||
\(746\) | −0.568117 | − | 0.781946i | −0.0208003 | − | 0.0286291i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 12.8351 | − | 8.85132i | 0.469296 | − | 0.323636i | ||||
\(749\) | − | 9.82464i | − | 0.358984i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.28104 | − | 3.94264i | −0.0467458 | − | 0.143869i | 0.924959 | − | 0.380066i | \(-0.124099\pi\) |
−0.971705 | + | 0.236197i | \(0.924099\pi\) | |||||||
\(752\) | −12.2074 | − | 3.96643i | −0.445158 | − | 0.144641i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −4.71780 | + | 6.49349i | −0.171812 | + | 0.236479i | ||||
\(755\) | 5.84337 | − | 17.9840i | 0.212662 | − | 0.654507i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −27.3652 | + | 19.8820i | −0.994605 | + | 0.722623i | −0.960925 | − | 0.276809i | \(-0.910723\pi\) |
−0.0336806 | + | 0.999433i | \(0.510723\pi\) | |||||||
\(758\) | 37.2038 | 1.35130 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −7.51146 | −0.272469 | ||||||||
\(761\) | 15.2458 | − | 11.0767i | 0.552661 | − | 0.401532i | −0.276105 | − | 0.961128i | \(-0.589044\pi\) |
0.828766 | + | 0.559596i | \(0.189044\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.47994 | + | 10.7102i | −0.125982 | + | 0.387734i | ||||
\(764\) | −12.7805 | + | 17.5908i | −0.462380 | + | 0.636412i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 23.4461 | + | 7.61811i | 0.847143 | + | 0.275253i | ||||
\(767\) | 6.43890 | + | 19.8169i | 0.232495 | + | 0.715547i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 7.84807i | 0.283009i | 0.989938 | + | 0.141504i | \(0.0451939\pi\) | ||||
−0.989938 | + | 0.141504i | \(0.954806\pi\) | |||||||
\(770\) | 1.39109 | − | 3.94821i | 0.0501313 | − | 0.142284i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 6.29264 | + | 8.66107i | 0.226477 | + | 0.311719i | ||||
\(773\) | 33.2516 | − | 10.8041i | 1.19598 | − | 0.388596i | 0.357697 | − | 0.933838i | \(-0.383562\pi\) |
0.838279 | + | 0.545241i | \(0.183562\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.65026 | + | 4.10515i | 0.202963 | + | 0.147461i | ||||
\(776\) | 2.44544 | + | 1.77672i | 0.0877863 | + | 0.0637805i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 29.9322 | − | 9.72556i | 1.07312 | − | 0.348678i | ||||
\(779\) | −27.5166 | − | 37.8734i | −0.985886 | − | 1.35696i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 22.3949 | − | 29.2817i | 0.801351 | − | 1.04778i | ||||
\(782\) | 20.3432i | 0.727472i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.309017 | − | 0.951057i | −0.0110363 | − | 0.0339663i | ||||
\(785\) | 28.3000 | + | 9.19522i | 1.01007 | + | 0.328192i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −0.809524 | + | 1.11421i | −0.0288564 | + | 0.0397175i | −0.823201 | − | 0.567749i | \(-0.807814\pi\) |
0.794345 | + | 0.607467i | \(0.207814\pi\) | |||||||
\(788\) | −3.57972 | + | 11.0172i | −0.127522 | + | 0.392473i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −14.0000 | + | 10.1716i | −0.498097 | + | 0.361889i | ||||
\(791\) | 12.4192 | 0.441575 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.33359 | −0.0828684 | ||||||||
\(794\) | 3.28271 | − | 2.38503i | 0.116499 | − | 0.0846414i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 4.14995 | − | 12.7722i | 0.147091 | − | 0.452699i | ||||
\(797\) | 10.4576 | − | 14.3937i | 0.370429 | − | 0.509851i | −0.582589 | − | 0.812767i | \(-0.697960\pi\) |
0.953017 | + | 0.302916i | \(0.0979601\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 57.3860 | + | 18.6458i | 2.03017 | + | 0.659642i | ||||
\(800\) | 1.05281 | + | 3.24020i | 0.0372223 | + | 0.114559i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 38.1853i | 1.34837i | ||||||||
\(803\) | 4.23165 | + | 1.49095i | 0.149332 | + | 0.0526145i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.21048 | + | 4.41885i | 0.113155 | + | 0.155744i | ||||
\(806\) | −4.40927 | + | 1.43266i | −0.155310 | + | 0.0504633i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 3.89617 | + | 2.83073i | 0.137067 | + | 0.0995848i | ||||
\(809\) | −18.4081 | − | 13.3743i | −0.647194 | − | 0.470214i | 0.215120 | − | 0.976588i | \(-0.430986\pi\) |
−0.862314 | + | 0.506374i | \(0.830986\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 15.0252 | − | 4.88198i | 0.527605 | − | 0.171429i | −0.0330886 | − | 0.999452i | \(-0.510534\pi\) |
0.560694 | + | 0.828023i | \(0.310534\pi\) | |||||||
\(812\) | 2.08604 | + | 2.87119i | 0.0732057 | + | 0.100759i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.70739 | − | 9.08699i | −0.0948939 | − | 0.318499i | ||||
\(815\) | 9.95914i | 0.348853i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 10.4970 | + | 32.3065i | 0.367245 | + | 1.13026i | ||||
\(818\) | −23.7411 | − | 7.71394i | −0.830087 | − | 0.269712i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 5.83578 | − | 8.03227i | 0.203794 | − | 0.280499i | ||||
\(821\) | −1.52931 | + | 4.70672i | −0.0533732 | + | 0.164266i | −0.974190 | − | 0.225730i | \(-0.927523\pi\) |
0.920817 | + | 0.389995i | \(0.127523\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.260325 | + | 0.189137i | −0.00907435 | + | 0.00659290i | −0.592313 | − | 0.805708i | \(-0.701785\pi\) |
0.583239 | + | 0.812301i | \(0.301785\pi\) | |||||||
\(824\) | 12.4203 | 0.432683 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 9.21326 | 0.320570 | ||||||||
\(827\) | 2.86886 | − | 2.08435i | 0.0997600 | − | 0.0724799i | −0.536787 | − | 0.843718i | \(-0.680362\pi\) |
0.636547 | + | 0.771238i | \(0.280362\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −8.33908 | + | 25.6650i | −0.289628 | + | 0.891384i | 0.695345 | + | 0.718676i | \(0.255252\pi\) |
−0.984973 | + | 0.172708i | \(0.944748\pi\) | |||||||
\(830\) | 2.55612 | − | 3.51820i | 0.0887243 | − | 0.122118i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −2.15091 | − | 0.698874i | −0.0745694 | − | 0.0242291i | ||||
\(833\) | 1.45266 | + | 4.47084i | 0.0503318 | + | 0.154905i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 4.13622i | − | 0.143140i | ||||||
\(836\) | −0.485361 | + | 19.7322i | −0.0167866 | + | 0.682452i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −7.06110 | − | 9.71876i | −0.243921 | − | 0.335729i | ||||
\(839\) | 7.28432 | − | 2.36682i | 0.251483 | − | 0.0817116i | −0.180563 | − | 0.983563i | \(-0.557792\pi\) |
0.432046 | + | 0.901852i | \(0.357792\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.2717 | + | 9.64243i | 0.457644 | + | 0.332498i | ||||
\(842\) | −18.5761 | − | 13.4963i | −0.640175 | − | 0.465115i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −18.9119 | + | 6.14485i | −0.650975 | + | 0.211515i | ||||
\(845\) | −5.84983 | − | 8.05160i | −0.201240 | − | 0.276983i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −10.2818 | − | 3.90942i | −0.353289 | − | 0.134329i | ||||
\(848\) | 2.22800i | 0.0765099i | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −4.94915 | − | 15.2319i | −0.169755 | − | 0.522451i | ||||
\(851\) | 11.7662 | + | 3.82306i | 0.403339 | + | 0.131053i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −18.0789 | + | 24.8835i | −0.619011 | + | 0.851996i | −0.997280 | − | 0.0736996i | \(-0.976519\pi\) |
0.378269 | + | 0.925696i | \(0.376519\pi\) | |||||||
\(854\) | −0.318854 | + | 0.981331i | −0.0109109 | + | 0.0335804i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −7.94830 | + | 5.77478i | −0.271667 | + | 0.197378i | ||||
\(857\) | 57.4958 | 1.96402 | 0.982010 | − | 0.188827i | \(-0.0604686\pi\) | ||||
0.982010 | + | 0.188827i | \(0.0604686\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 26.6675 | 0.909885 | 0.454942 | − | 0.890521i | \(-0.349660\pi\) | ||||
0.454942 | + | 0.890521i | \(0.349660\pi\) | |||||||
\(860\) | −5.82835 | + | 4.23455i | −0.198745 | + | 0.144397i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 6.67196 | − | 20.5342i | 0.227248 | − | 0.699397i | ||||
\(863\) | 6.91612 | − | 9.51922i | 0.235427 | − | 0.324038i | −0.674914 | − | 0.737897i | \(-0.735819\pi\) |
0.910341 | + | 0.413859i | \(0.135819\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 6.33862 | + | 2.05954i | 0.215520 | + | 0.0700266i | ||||
\(866\) | −3.19036 | − | 9.81890i | −0.108413 | − | 0.333660i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 2.04996i | 0.0695800i | ||||||||
\(869\) | 25.8155 | + | 37.4344i | 0.875732 | + | 1.26988i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.44113 | − | 3.35992i | −0.0827145 | − | 0.113847i | ||||
\(872\) | 10.7102 | − | 3.47994i | 0.362692 | − | 0.117846i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −20.8355 | − | 15.1379i | −0.704773 | − | 0.512048i | ||||
\(875\) | −8.58441 | − | 6.23694i | −0.290206 | − | 0.210847i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −19.6619 | + | 6.38854i | −0.663935 | + | 0.215726i | −0.621548 | − | 0.783376i | \(-0.713496\pi\) |
−0.0423865 | + | 0.999101i | \(0.513496\pi\) | |||||||
\(878\) | 6.26097 | + | 8.61748i | 0.211297 | + | 0.290826i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −4.01183 | + | 1.19529i | −0.135239 | + | 0.0402932i | ||||
\(881\) | 45.4428i | 1.53101i | 0.643431 | + | 0.765504i | \(0.277510\pi\) | ||||
−0.643431 | + | 0.765504i | \(0.722490\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −9.04496 | − | 27.8375i | −0.304387 | − | 0.936807i | −0.979905 | − | 0.199464i | \(-0.936080\pi\) |
0.675518 | − | 0.737343i | \(-0.263920\pi\) | |||||||
\(884\) | 10.1113 | + | 3.28534i | 0.340078 | + | 0.110498i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −12.8774 | + | 17.7243i | −0.432626 | + | 0.595459i | ||||
\(887\) | 4.34287 | − | 13.3660i | 0.145819 | − | 0.448785i | −0.851296 | − | 0.524685i | \(-0.824183\pi\) |
0.997115 | + | 0.0759000i | \(0.0241830\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 10.6778 | − | 7.75786i | 0.358121 | − | 0.260190i | ||||
\(890\) | 8.51906 | 0.285560 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −21.8190 | −0.730555 | ||||||||
\(893\) | −61.7995 | + | 44.9000i | −2.06804 | + | 1.50252i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.70821 | − | 5.25732i | 0.0570990 | − | 0.175733i | ||||
\(896\) | −0.587785 | + | 0.809017i | −0.0196365 | + | 0.0270274i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 28.3659 | + | 9.21665i | 0.946583 | + | 0.307564i | ||||
\(899\) | −2.24818 | − | 6.91919i | −0.0749810 | − | 0.230768i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 10.4736i | − | 0.348928i | ||||||
\(902\) | −20.7232 | − | 15.8493i | −0.690008 | − | 0.527724i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −7.29980 | − | 10.0473i | −0.242788 | − | 0.334169i | ||||
\(905\) | −19.1362 | + | 6.21771i | −0.636107 | + | 0.206684i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −36.4198 | − | 26.4605i | −1.20930 | − | 0.878607i | −0.214131 | − | 0.976805i | \(-0.568692\pi\) |
−0.995167 | + | 0.0981984i | \(0.968692\pi\) | |||||||
\(908\) | −6.28179 | − | 4.56399i | −0.208469 | − | 0.151461i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 2.71479 | − | 0.882090i | 0.0899945 | − | 0.0292410i | ||||
\(911\) | 10.2893 | + | 14.1620i | 0.340900 | + | 0.469209i | 0.944704 | − | 0.327924i | \(-0.106349\pi\) |
−0.603804 | + | 0.797133i | \(0.706349\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −9.07694 | − | 6.94212i | −0.300403 | − | 0.229751i | ||||
\(914\) | − | 39.9143i | − | 1.32025i | ||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.68885 | + | 14.4308i | 0.154924 | + | 0.476807i | ||||
\(917\) | −8.74957 | − | 2.84291i | −0.288936 | − | 0.0938811i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 11.6663 | − | 16.0573i | 0.384836 | − | 0.529681i | −0.572022 | − | 0.820238i | \(-0.693841\pi\) |
0.956858 | + | 0.290557i | \(0.0938407\pi\) | |||||||
\(920\) | 1.68785 | − | 5.19467i | 0.0556467 | − | 0.171263i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −2.99800 | + | 2.17818i | −0.0987340 | + | 0.0717345i | ||||
\(923\) | 25.1374 | 0.827409 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −9.73997 | −0.320248 | ||||||||
\(926\) | 6.74153 | − | 4.89801i | 0.221540 | − | 0.160959i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.09670 | − | 3.37529i | 0.0360009 | − | 0.110799i | ||||
\(929\) | 2.62915 | − | 3.61871i | 0.0862595 | − | 0.118726i | −0.763706 | − | 0.645564i | \(-0.776622\pi\) |
0.849966 | + | 0.526838i | \(0.176622\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.66000 | − | 1.83905i | −0.185499 | − | 0.0602723i | ||||
\(932\) | −1.96460 | − | 6.04641i | −0.0643526 | − | 0.198057i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 6.31614i | 0.206670i | ||||||||
\(935\) | 18.8593 | − | 5.61895i | 0.616764 | − | 0.183759i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −10.5308 | − | 14.4945i | −0.344027 | − | 0.473513i | 0.601585 | − | 0.798809i | \(-0.294536\pi\) |
−0.945612 | + | 0.325296i | \(0.894536\pi\) | |||||||
\(938\) | −1.74647 | + | 0.567464i | −0.0570244 | + | 0.0185283i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −13.1066 | − | 9.52248i | −0.427489 | − | 0.310589i | ||||
\(941\) | 18.0214 | + | 13.0933i | 0.587482 | + | 0.426831i | 0.841414 | − | 0.540392i | \(-0.181724\pi\) |
−0.253932 | + | 0.967222i | \(0.581724\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 32.3750 | − | 10.5193i | 1.05427 | − | 0.342555i | ||||
\(944\) | −5.41542 | − | 7.45368i | −0.176257 | − | 0.242597i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 10.7473 | + | 15.5844i | 0.349425 | + | 0.506692i | ||||
\(947\) | − | 6.54279i | − | 0.212612i | −0.994333 | − | 0.106306i | \(-0.966098\pi\) | ||
0.994333 | − | 0.106306i | \(-0.0339023\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.945414 | + | 2.90968i | 0.0306894 | + | 0.0944523i | ||||
\(950\) | 19.2834 | + | 6.26554i | 0.625635 | + | 0.203281i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 2.76313 | − | 3.80312i | 0.0895535 | − | 0.123260i | ||||
\(953\) | −4.22309 | + | 12.9973i | −0.136799 | + | 0.421025i | −0.995866 | − | 0.0908396i | \(-0.971045\pi\) |
0.859066 | + | 0.511864i | \(0.171045\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −22.2024 | + | 16.1310i | −0.718452 | + | 0.521986i | ||||
\(956\) | 24.6015 | 0.795668 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 10.8555 | 0.350726 | ||||||||
\(959\) | 13.9423 | − | 10.1296i | 0.450219 | − | 0.327103i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.28094 | + | 25.4861i | −0.267127 | + | 0.822133i | ||||
\(962\) | 3.80038 | − | 5.23077i | 0.122529 | − | 0.168647i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −3.15932 | − | 1.02653i | −0.101755 | − | 0.0330622i | ||||
\(965\) | 4.17552 | + | 12.8509i | 0.134415 | + | 0.413686i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 54.3113i | − | 1.74653i | −0.487241 | − | 0.873267i | \(-0.661997\pi\) | ||
0.487241 | − | 0.873267i | \(-0.338003\pi\) | |||||||
\(968\) | 2.88073 | + | 10.6161i | 0.0925901 | + | 0.341214i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 2.24250 | + | 3.08654i | 0.0720024 | + | 0.0991028i | ||||
\(971\) | −32.7802 | + | 10.6509i | −1.05197 | + | 0.341804i | −0.783439 | − | 0.621468i | \(-0.786536\pi\) |
−0.268526 | + | 0.963272i | \(0.586536\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −8.45906 | − | 6.14587i | −0.271185 | − | 0.197028i | ||||
\(974\) | −1.48252 | − | 1.07711i | −0.0475029 | − | 0.0345129i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.981331 | − | 0.318854i | 0.0314116 | − | 0.0102063i | ||||
\(977\) | 13.9113 | + | 19.1473i | 0.445063 | + | 0.612577i | 0.971328 | − | 0.237744i | \(-0.0764079\pi\) |
−0.526265 | + | 0.850321i | \(0.676408\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.550468 | − | 22.3791i | 0.0175930 | − | 0.715239i | ||||
\(980\) | − | 1.26216i | − | 0.0403182i | ||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 4.66453 | + | 14.3560i | 0.148851 | + | 0.458117i | ||||
\(983\) | −53.9618 | − | 17.5332i | −1.72111 | − | 0.559223i | −0.728994 | − | 0.684521i | \(-0.760012\pi\) |
−0.992119 | + | 0.125297i | \(0.960012\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −8.59408 | + | 11.8287i | −0.273830 | + | 0.376895i | ||||
\(986\) | −5.15548 | + | 15.8669i | −0.164184 | + | 0.505306i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −10.8889 | + | 7.91125i | −0.346422 | + | 0.251690i | ||||
\(989\) | −24.7008 | −0.785439 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −9.09545 | −0.288926 | −0.144463 | − | 0.989510i | \(-0.546146\pi\) | ||||
−0.144463 | + | 0.989510i | \(0.546146\pi\) | |||||||
\(992\) | 1.65845 | − | 1.20493i | 0.0526558 | − | 0.0382567i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 3.43469 | − | 10.5709i | 0.108942 | − | 0.335288i | ||||
\(995\) | 9.96307 | − | 13.7130i | 0.315851 | − | 0.434731i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −33.0102 | − | 10.7257i | −1.04544 | − | 0.339685i | −0.264565 | − | 0.964368i | \(-0.585228\pi\) |
−0.780879 | + | 0.624683i | \(0.785228\pi\) | |||||||
\(998\) | −10.2855 | − | 31.6557i | −0.325583 | − | 1.00204i | ||||
\(999\) | 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 | 1386.2.bu.a.701.7 | ✓ | 48 | |
3.2 | odd | 2 | 1386.2.bu.b.701.6 | yes | 48 | ||
11.7 | odd | 10 | 1386.2.bu.b.953.6 | yes | 48 | ||
33.29 | even | 10 | inner | 1386.2.bu.a.953.7 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1386.2.bu.a.701.7 | ✓ | 48 | 1.1 | even | 1 | trivial | |
1386.2.bu.a.953.7 | yes | 48 | 33.29 | even | 10 | inner | |
1386.2.bu.b.701.6 | yes | 48 | 3.2 | odd | 2 | ||
1386.2.bu.b.953.6 | yes | 48 | 11.7 | odd | 10 |