Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(827,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.827");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.h (of order \(2\), degree \(1\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 827.14 | ||
Character | \(\chi\) | \(=\) | 966.827 |
Dual form | 966.2.h.b.827.2 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000i | 0.707107i | ||||||||
\(3\) | −1.33692 | + | 1.10121i | −0.771869 | + | 0.635781i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 0.136871 | 0.0612104 | 0.0306052 | − | 0.999532i | \(-0.490257\pi\) | ||||
0.0306052 | + | 0.999532i | \(0.490257\pi\) | |||||||
\(6\) | −1.10121 | − | 1.33692i | −0.449565 | − | 0.545794i | ||||
\(7\) | 1.00000i | 0.377964i | ||||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 0.574695 | − | 2.94444i | 0.191565 | − | 0.981480i | ||||
\(10\) | 0.136871i | 0.0432823i | ||||||||
\(11\) | −1.44430 | −0.435474 | −0.217737 | − | 0.976008i | \(-0.569867\pi\) | ||||
−0.217737 | + | 0.976008i | \(0.569867\pi\) | |||||||
\(12\) | 1.33692 | − | 1.10121i | 0.385935 | − | 0.317891i | ||||
\(13\) | 0.583733 | 0.161899 | 0.0809493 | − | 0.996718i | \(-0.474205\pi\) | ||||
0.0809493 | + | 0.996718i | \(0.474205\pi\) | |||||||
\(14\) | −1.00000 | −0.267261 | ||||||||
\(15\) | −0.182985 | + | 0.150723i | −0.0472465 | + | 0.0389164i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −4.60532 | −1.11695 | −0.558477 | − | 0.829520i | \(-0.688614\pi\) | ||||
−0.558477 | + | 0.829520i | \(0.688614\pi\) | |||||||
\(18\) | 2.94444 | + | 0.574695i | 0.694011 | + | 0.135457i | ||||
\(19\) | − | 7.52773i | − | 1.72698i | −0.504366 | − | 0.863490i | \(-0.668274\pi\) | ||
0.504366 | − | 0.863490i | \(-0.331726\pi\) | |||||||
\(20\) | −0.136871 | −0.0306052 | ||||||||
\(21\) | −1.10121 | − | 1.33692i | −0.240303 | − | 0.291739i | ||||
\(22\) | − | 1.44430i | − | 0.307926i | ||||||
\(23\) | −1.80844 | − | 4.44180i | −0.377086 | − | 0.926178i | ||||
\(24\) | 1.10121 | + | 1.33692i | 0.224783 | + | 0.272897i | ||||
\(25\) | −4.98127 | −0.996253 | ||||||||
\(26\) | 0.583733i | 0.114480i | ||||||||
\(27\) | 2.47411 | + | 4.56933i | 0.476143 | + | 0.879368i | ||||
\(28\) | − | 1.00000i | − | 0.188982i | ||||||
\(29\) | 1.43093i | 0.265716i | 0.991135 | + | 0.132858i | \(0.0424155\pi\) | ||||
−0.991135 | + | 0.132858i | \(0.957585\pi\) | |||||||
\(30\) | −0.150723 | − | 0.182985i | −0.0275181 | − | 0.0334083i | ||||
\(31\) | 8.86017 | 1.59133 | 0.795667 | − | 0.605735i | \(-0.207121\pi\) | ||||
0.795667 | + | 0.605735i | \(0.207121\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 1.93091 | − | 1.59047i | 0.336129 | − | 0.276866i | ||||
\(34\) | − | 4.60532i | − | 0.789806i | ||||||
\(35\) | 0.136871i | 0.0231354i | ||||||||
\(36\) | −0.574695 | + | 2.94444i | −0.0957824 | + | 0.490740i | ||||
\(37\) | − | 2.06950i | − | 0.340223i | −0.985425 | − | 0.170112i | \(-0.945587\pi\) | ||
0.985425 | − | 0.170112i | \(-0.0544128\pi\) | |||||||
\(38\) | 7.52773 | 1.22116 | ||||||||
\(39\) | −0.780403 | + | 0.642810i | −0.124965 | + | 0.102932i | ||||
\(40\) | − | 0.136871i | − | 0.0216412i | ||||||
\(41\) | 4.66319i | 0.728268i | 0.931347 | + | 0.364134i | \(0.118635\pi\) | ||||
−0.931347 | + | 0.364134i | \(0.881365\pi\) | |||||||
\(42\) | 1.33692 | − | 1.10121i | 0.206291 | − | 0.169920i | ||||
\(43\) | − | 11.8820i | − | 1.81199i | −0.423292 | − | 0.905993i | \(-0.639126\pi\) | ||
0.423292 | − | 0.905993i | \(-0.360874\pi\) | |||||||
\(44\) | 1.44430 | 0.217737 | ||||||||
\(45\) | 0.0786588 | − | 0.403007i | 0.0117258 | − | 0.0600768i | ||||
\(46\) | 4.44180 | − | 1.80844i | 0.654907 | − | 0.266640i | ||||
\(47\) | − | 11.3237i | − | 1.65173i | −0.563868 | − | 0.825865i | \(-0.690687\pi\) | ||
0.563868 | − | 0.825865i | \(-0.309313\pi\) | |||||||
\(48\) | −1.33692 | + | 1.10121i | −0.192967 | + | 0.158945i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | − | 4.98127i | − | 0.704457i | ||||||
\(51\) | 6.15693 | − | 5.07140i | 0.862143 | − | 0.710138i | ||||
\(52\) | −0.583733 | −0.0809493 | ||||||||
\(53\) | 7.34859 | 1.00941 | 0.504703 | − | 0.863293i | \(-0.331602\pi\) | ||||
0.504703 | + | 0.863293i | \(0.331602\pi\) | |||||||
\(54\) | −4.56933 | + | 2.47411i | −0.621807 | + | 0.336684i | ||||
\(55\) | −0.197683 | −0.0266555 | ||||||||
\(56\) | 1.00000 | 0.133631 | ||||||||
\(57\) | 8.28958 | + | 10.0640i | 1.09798 | + | 1.33300i | ||||
\(58\) | −1.43093 | −0.187890 | ||||||||
\(59\) | 8.60638i | 1.12046i | 0.828339 | + | 0.560228i | \(0.189286\pi\) | ||||
−0.828339 | + | 0.560228i | \(0.810714\pi\) | |||||||
\(60\) | 0.182985 | − | 0.150723i | 0.0236232 | − | 0.0194582i | ||||
\(61\) | 12.4175i | 1.58990i | 0.606675 | + | 0.794950i | \(0.292503\pi\) | ||||
−0.606675 | + | 0.794950i | \(0.707497\pi\) | |||||||
\(62\) | 8.86017i | 1.12524i | ||||||||
\(63\) | 2.94444 | + | 0.574695i | 0.370965 | + | 0.0724047i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 0.0798960 | 0.00990988 | ||||||||
\(66\) | 1.59047 | + | 1.93091i | 0.195774 | + | 0.237679i | ||||
\(67\) | − | 11.2359i | − | 1.37269i | −0.727277 | − | 0.686344i | \(-0.759215\pi\) | ||
0.727277 | − | 0.686344i | \(-0.240785\pi\) | |||||||
\(68\) | 4.60532 | 0.558477 | ||||||||
\(69\) | 7.30906 | + | 3.94685i | 0.879908 | + | 0.475145i | ||||
\(70\) | −0.136871 | −0.0163592 | ||||||||
\(71\) | 3.92611i | 0.465944i | 0.972483 | + | 0.232972i | \(0.0748450\pi\) | ||||
−0.972483 | + | 0.232972i | \(0.925155\pi\) | |||||||
\(72\) | −2.94444 | − | 0.574695i | −0.347006 | − | 0.0677284i | ||||
\(73\) | 10.7313 | 1.25600 | 0.628002 | − | 0.778212i | \(-0.283873\pi\) | ||||
0.628002 | + | 0.778212i | \(0.283873\pi\) | |||||||
\(74\) | 2.06950 | 0.240574 | ||||||||
\(75\) | 6.65954 | − | 5.48540i | 0.768977 | − | 0.633399i | ||||
\(76\) | 7.52773i | 0.863490i | ||||||||
\(77\) | − | 1.44430i | − | 0.164594i | ||||||
\(78\) | −0.642810 | − | 0.780403i | −0.0727839 | − | 0.0883633i | ||||
\(79\) | − | 4.84919i | − | 0.545577i | −0.962074 | − | 0.272788i | \(-0.912054\pi\) | ||
0.962074 | − | 0.272788i | \(-0.0879459\pi\) | |||||||
\(80\) | 0.136871 | 0.0153026 | ||||||||
\(81\) | −8.33945 | − | 3.38431i | −0.926606 | − | 0.376034i | ||||
\(82\) | −4.66319 | −0.514963 | ||||||||
\(83\) | −16.0249 | −1.75896 | −0.879482 | − | 0.475933i | \(-0.842110\pi\) | ||||
−0.879482 | + | 0.475933i | \(0.842110\pi\) | |||||||
\(84\) | 1.10121 | + | 1.33692i | 0.120151 | + | 0.145870i | ||||
\(85\) | −0.630333 | −0.0683692 | ||||||||
\(86\) | 11.8820 | 1.28127 | ||||||||
\(87\) | −1.57574 | − | 1.91303i | −0.168937 | − | 0.205098i | ||||
\(88\) | 1.44430i | 0.153963i | ||||||||
\(89\) | 8.79924 | 0.932718 | 0.466359 | − | 0.884596i | \(-0.345566\pi\) | ||||
0.466359 | + | 0.884596i | \(0.345566\pi\) | |||||||
\(90\) | 0.403007 | + | 0.0786588i | 0.0424807 | + | 0.00829137i | ||||
\(91\) | 0.583733i | 0.0611919i | ||||||||
\(92\) | 1.80844 | + | 4.44180i | 0.188543 | + | 0.463089i | ||||
\(93\) | −11.8453 | + | 9.75686i | −1.22830 | + | 1.01174i | ||||
\(94\) | 11.3237 | 1.16795 | ||||||||
\(95\) | − | 1.03033i | − | 0.105709i | ||||||
\(96\) | −1.10121 | − | 1.33692i | −0.112391 | − | 0.136449i | ||||
\(97\) | − | 11.0494i | − | 1.12190i | −0.827851 | − | 0.560949i | \(-0.810437\pi\) | ||
0.827851 | − | 0.560949i | \(-0.189563\pi\) | |||||||
\(98\) | − | 1.00000i | − | 0.101015i | ||||||
\(99\) | −0.830033 | + | 4.25266i | −0.0834215 | + | 0.427409i | ||||
\(100\) | 4.98127 | 0.498127 | ||||||||
\(101\) | − | 0.358483i | − | 0.0356704i | −0.999841 | − | 0.0178352i | \(-0.994323\pi\) | ||
0.999841 | − | 0.0178352i | \(-0.00567743\pi\) | |||||||
\(102\) | 5.07140 | + | 6.15693i | 0.502144 | + | 0.609627i | ||||
\(103\) | − | 6.59411i | − | 0.649737i | −0.945759 | − | 0.324869i | \(-0.894680\pi\) | ||
0.945759 | − | 0.324869i | \(-0.105320\pi\) | |||||||
\(104\) | − | 0.583733i | − | 0.0572398i | ||||||
\(105\) | −0.150723 | − | 0.182985i | −0.0147090 | − | 0.0178575i | ||||
\(106\) | 7.34859i | 0.713758i | ||||||||
\(107\) | 2.49235 | 0.240944 | 0.120472 | − | 0.992717i | \(-0.461559\pi\) | ||||
0.120472 | + | 0.992717i | \(0.461559\pi\) | |||||||
\(108\) | −2.47411 | − | 4.56933i | −0.238072 | − | 0.439684i | ||||
\(109\) | − | 4.31321i | − | 0.413130i | −0.978433 | − | 0.206565i | \(-0.933771\pi\) | ||
0.978433 | − | 0.206565i | \(-0.0662286\pi\) | |||||||
\(110\) | − | 0.197683i | − | 0.0188483i | ||||||
\(111\) | 2.27894 | + | 2.76675i | 0.216308 | + | 0.262608i | ||||
\(112\) | 1.00000i | 0.0944911i | ||||||||
\(113\) | −20.5000 | −1.92847 | −0.964237 | − | 0.265041i | \(-0.914614\pi\) | ||||
−0.964237 | + | 0.265041i | \(0.914614\pi\) | |||||||
\(114\) | −10.0640 | + | 8.28958i | −0.942575 | + | 0.776390i | ||||
\(115\) | −0.247522 | − | 0.607951i | −0.0230816 | − | 0.0566918i | ||||
\(116\) | − | 1.43093i | − | 0.132858i | ||||||
\(117\) | 0.335468 | − | 1.71877i | 0.0310141 | − | 0.158900i | ||||
\(118\) | −8.60638 | −0.792282 | ||||||||
\(119\) | − | 4.60532i | − | 0.422169i | ||||||
\(120\) | 0.150723 | + | 0.182985i | 0.0137590 | + | 0.0167041i | ||||
\(121\) | −8.91399 | −0.810363 | ||||||||
\(122\) | −12.4175 | −1.12423 | ||||||||
\(123\) | −5.13513 | − | 6.23430i | −0.463019 | − | 0.562128i | ||||
\(124\) | −8.86017 | −0.795667 | ||||||||
\(125\) | −1.36614 | −0.122191 | ||||||||
\(126\) | −0.574695 | + | 2.94444i | −0.0511979 | + | 0.262312i | ||||
\(127\) | 13.9032 | 1.23371 | 0.616855 | − | 0.787077i | \(-0.288407\pi\) | ||||
0.616855 | + | 0.787077i | \(0.288407\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | 13.0845 | + | 15.8852i | 1.15203 | + | 1.39862i | ||||
\(130\) | 0.0798960i | 0.00700734i | ||||||||
\(131\) | − | 9.55139i | − | 0.834509i | −0.908790 | − | 0.417255i | \(-0.862992\pi\) | ||
0.908790 | − | 0.417255i | \(-0.137008\pi\) | |||||||
\(132\) | −1.93091 | + | 1.59047i | −0.168064 | + | 0.138433i | ||||
\(133\) | 7.52773 | 0.652737 | ||||||||
\(134\) | 11.2359 | 0.970637 | ||||||||
\(135\) | 0.338633 | + | 0.625407i | 0.0291449 | + | 0.0538265i | ||||
\(136\) | 4.60532i | 0.394903i | ||||||||
\(137\) | −13.8847 | −1.18625 | −0.593124 | − | 0.805111i | \(-0.702106\pi\) | ||||
−0.593124 | + | 0.805111i | \(0.702106\pi\) | |||||||
\(138\) | −3.94685 | + | 7.30906i | −0.335978 | + | 0.622189i | ||||
\(139\) | 6.91724 | 0.586712 | 0.293356 | − | 0.956003i | \(-0.405228\pi\) | ||||
0.293356 | + | 0.956003i | \(0.405228\pi\) | |||||||
\(140\) | − | 0.136871i | − | 0.0115677i | ||||||
\(141\) | 12.4697 | + | 15.1388i | 1.05014 | + | 1.27492i | ||||
\(142\) | −3.92611 | −0.329472 | ||||||||
\(143\) | −0.843088 | −0.0705026 | ||||||||
\(144\) | 0.574695 | − | 2.94444i | 0.0478912 | − | 0.245370i | ||||
\(145\) | 0.195852i | 0.0162646i | ||||||||
\(146\) | 10.7313i | 0.888129i | ||||||||
\(147\) | 1.33692 | − | 1.10121i | 0.110267 | − | 0.0908259i | ||||
\(148\) | 2.06950i | 0.170112i | ||||||||
\(149\) | −4.18429 | −0.342790 | −0.171395 | − | 0.985202i | \(-0.554828\pi\) | ||||
−0.171395 | + | 0.985202i | \(0.554828\pi\) | |||||||
\(150\) | 5.48540 | + | 6.65954i | 0.447881 | + | 0.543749i | ||||
\(151\) | −9.01508 | −0.733637 | −0.366818 | − | 0.930293i | \(-0.619553\pi\) | ||||
−0.366818 | + | 0.930293i | \(0.619553\pi\) | |||||||
\(152\) | −7.52773 | −0.610580 | ||||||||
\(153\) | −2.64665 | + | 13.5601i | −0.213969 | + | 1.09627i | ||||
\(154\) | 1.44430 | 0.116385 | ||||||||
\(155\) | 1.21270 | 0.0974062 | ||||||||
\(156\) | 0.780403 | − | 0.642810i | 0.0624823 | − | 0.0514660i | ||||
\(157\) | − | 16.8453i | − | 1.34440i | −0.740371 | − | 0.672199i | \(-0.765350\pi\) | ||
0.740371 | − | 0.672199i | \(-0.234650\pi\) | |||||||
\(158\) | 4.84919 | 0.385781 | ||||||||
\(159\) | −9.82446 | + | 8.09231i | −0.779130 | + | 0.641762i | ||||
\(160\) | 0.136871i | 0.0108206i | ||||||||
\(161\) | 4.44180 | − | 1.80844i | 0.350063 | − | 0.142525i | ||||
\(162\) | 3.38431 | − | 8.33945i | 0.265896 | − | 0.655209i | ||||
\(163\) | −5.55114 | −0.434799 | −0.217399 | − | 0.976083i | \(-0.569757\pi\) | ||||
−0.217399 | + | 0.976083i | \(0.569757\pi\) | |||||||
\(164\) | − | 4.66319i | − | 0.364134i | ||||||
\(165\) | 0.264285 | − | 0.217689i | 0.0205746 | − | 0.0169471i | ||||
\(166\) | − | 16.0249i | − | 1.24377i | ||||||
\(167\) | 21.1439i | 1.63617i | 0.575100 | + | 0.818083i | \(0.304963\pi\) | ||||
−0.575100 | + | 0.818083i | \(0.695037\pi\) | |||||||
\(168\) | −1.33692 | + | 1.10121i | −0.103145 | + | 0.0849598i | ||||
\(169\) | −12.6593 | −0.973789 | ||||||||
\(170\) | − | 0.630333i | − | 0.0483443i | ||||||
\(171\) | −22.1650 | − | 4.32615i | −1.69500 | − | 0.330829i | ||||
\(172\) | 11.8820i | 0.905993i | ||||||||
\(173\) | − | 16.0711i | − | 1.22186i | −0.791683 | − | 0.610932i | \(-0.790795\pi\) | ||
0.791683 | − | 0.610932i | \(-0.209205\pi\) | |||||||
\(174\) | 1.91303 | − | 1.57574i | 0.145026 | − | 0.119457i | ||||
\(175\) | − | 4.98127i | − | 0.376548i | ||||||
\(176\) | −1.44430 | −0.108868 | ||||||||
\(177\) | −9.47739 | − | 11.5060i | −0.712365 | − | 0.864846i | ||||
\(178\) | 8.79924i | 0.659531i | ||||||||
\(179\) | − | 14.1093i | − | 1.05458i | −0.849685 | − | 0.527291i | \(-0.823208\pi\) | ||
0.849685 | − | 0.527291i | \(-0.176792\pi\) | |||||||
\(180\) | −0.0786588 | + | 0.403007i | −0.00586288 | + | 0.0300384i | ||||
\(181\) | 12.0652i | 0.896796i | 0.893834 | + | 0.448398i | \(0.148005\pi\) | ||||
−0.893834 | + | 0.448398i | \(0.851995\pi\) | |||||||
\(182\) | −0.583733 | −0.0432692 | ||||||||
\(183\) | −13.6742 | − | 16.6012i | −1.01083 | − | 1.22719i | ||||
\(184\) | −4.44180 | + | 1.80844i | −0.327454 | + | 0.133320i | ||||
\(185\) | − | 0.283253i | − | 0.0208252i | ||||||
\(186\) | −9.75686 | − | 11.8453i | −0.715408 | − | 0.868540i | ||||
\(187\) | 6.65148 | 0.486404 | ||||||||
\(188\) | 11.3237i | 0.825865i | ||||||||
\(189\) | −4.56933 | + | 2.47411i | −0.332370 | + | 0.179965i | ||||
\(190\) | 1.03033 | 0.0747477 | ||||||||
\(191\) | −20.0981 | −1.45425 | −0.727125 | − | 0.686505i | \(-0.759144\pi\) | ||||
−0.727125 | + | 0.686505i | \(0.759144\pi\) | |||||||
\(192\) | 1.33692 | − | 1.10121i | 0.0964837 | − | 0.0794726i | ||||
\(193\) | 6.21411 | 0.447301 | 0.223651 | − | 0.974669i | \(-0.428203\pi\) | ||||
0.223651 | + | 0.974669i | \(0.428203\pi\) | |||||||
\(194\) | 11.0494 | 0.793301 | ||||||||
\(195\) | −0.106814 | + | 0.0879819i | −0.00764913 | + | 0.00630051i | ||||
\(196\) | 1.00000 | 0.0714286 | ||||||||
\(197\) | − | 26.3813i | − | 1.87959i | −0.341737 | − | 0.939796i | \(-0.611015\pi\) | ||
0.341737 | − | 0.939796i | \(-0.388985\pi\) | |||||||
\(198\) | −4.25266 | − | 0.830033i | −0.302224 | − | 0.0589879i | ||||
\(199\) | 13.3080i | 0.943376i | 0.881765 | + | 0.471688i | \(0.156355\pi\) | ||||
−0.881765 | + | 0.471688i | \(0.843645\pi\) | |||||||
\(200\) | 4.98127i | 0.352229i | ||||||||
\(201\) | 12.3731 | + | 15.0215i | 0.872729 | + | 1.05954i | ||||
\(202\) | 0.358483 | 0.0252228 | ||||||||
\(203\) | −1.43093 | −0.100431 | ||||||||
\(204\) | −6.15693 | + | 5.07140i | −0.431071 | + | 0.355069i | ||||
\(205\) | 0.638254i | 0.0445776i | ||||||||
\(206\) | 6.59411 | 0.459433 | ||||||||
\(207\) | −14.1179 | + | 2.77217i | −0.981262 | + | 0.192679i | ||||
\(208\) | 0.583733 | 0.0404746 | ||||||||
\(209\) | 10.8723i | 0.752054i | ||||||||
\(210\) | 0.182985 | − | 0.150723i | 0.0126271 | − | 0.0104009i | ||||
\(211\) | −15.4432 | −1.06315 | −0.531575 | − | 0.847011i | \(-0.678400\pi\) | ||||
−0.531575 | + | 0.847011i | \(0.678400\pi\) | |||||||
\(212\) | −7.34859 | −0.504703 | ||||||||
\(213\) | −4.32346 | − | 5.24889i | −0.296238 | − | 0.359648i | ||||
\(214\) | 2.49235i | 0.170373i | ||||||||
\(215\) | − | 1.62630i | − | 0.110912i | ||||||
\(216\) | 4.56933 | − | 2.47411i | 0.310903 | − | 0.168342i | ||||
\(217\) | 8.86017i | 0.601467i | ||||||||
\(218\) | 4.31321 | 0.292127 | ||||||||
\(219\) | −14.3469 | + | 11.8174i | −0.969471 | + | 0.798544i | ||||
\(220\) | 0.197683 | 0.0133278 | ||||||||
\(221\) | −2.68828 | −0.180833 | ||||||||
\(222\) | −2.76675 | + | 2.27894i | −0.185692 | + | 0.152953i | ||||
\(223\) | 23.5613 | 1.57778 | 0.788889 | − | 0.614536i | \(-0.210657\pi\) | ||||
0.788889 | + | 0.614536i | \(0.210657\pi\) | |||||||
\(224\) | −1.00000 | −0.0668153 | ||||||||
\(225\) | −2.86271 | + | 14.6670i | −0.190847 | + | 0.977803i | ||||
\(226\) | − | 20.5000i | − | 1.36364i | ||||||
\(227\) | −3.23814 | −0.214923 | −0.107461 | − | 0.994209i | \(-0.534272\pi\) | ||||
−0.107461 | + | 0.994209i | \(0.534272\pi\) | |||||||
\(228\) | −8.28958 | − | 10.0640i | −0.548991 | − | 0.666501i | ||||
\(229\) | − | 17.7542i | − | 1.17323i | −0.809866 | − | 0.586615i | \(-0.800460\pi\) | ||
0.809866 | − | 0.586615i | \(-0.199540\pi\) | |||||||
\(230\) | 0.607951 | − | 0.247522i | 0.0400871 | − | 0.0163211i | ||||
\(231\) | 1.59047 | + | 1.93091i | 0.104645 | + | 0.127045i | ||||
\(232\) | 1.43093 | 0.0939449 | ||||||||
\(233\) | − | 4.04278i | − | 0.264851i | −0.991193 | − | 0.132426i | \(-0.957723\pi\) | ||
0.991193 | − | 0.132426i | \(-0.0422766\pi\) | |||||||
\(234\) | 1.71877 | + | 0.335468i | 0.112359 | + | 0.0219303i | ||||
\(235\) | − | 1.54988i | − | 0.101103i | ||||||
\(236\) | − | 8.60638i | − | 0.560228i | ||||||
\(237\) | 5.33995 | + | 6.48297i | 0.346867 | + | 0.421114i | ||||
\(238\) | 4.60532 | 0.298519 | ||||||||
\(239\) | 4.23417i | 0.273886i | 0.990579 | + | 0.136943i | \(0.0437277\pi\) | ||||
−0.990579 | + | 0.136943i | \(0.956272\pi\) | |||||||
\(240\) | −0.182985 | + | 0.150723i | −0.0118116 | + | 0.00972911i | ||||
\(241\) | 24.7339i | 1.59325i | 0.604472 | + | 0.796626i | \(0.293384\pi\) | ||||
−0.604472 | + | 0.796626i | \(0.706616\pi\) | |||||||
\(242\) | − | 8.91399i | − | 0.573013i | ||||||
\(243\) | 14.8760 | − | 4.65891i | 0.954294 | − | 0.298869i | ||||
\(244\) | − | 12.4175i | − | 0.794950i | ||||||
\(245\) | −0.136871 | −0.00874435 | ||||||||
\(246\) | 6.23430 | − | 5.13513i | 0.397484 | − | 0.327404i | ||||
\(247\) | − | 4.39419i | − | 0.279596i | ||||||
\(248\) | − | 8.86017i | − | 0.562621i | ||||||
\(249\) | 21.4240 | − | 17.6467i | 1.35769 | − | 1.11832i | ||||
\(250\) | − | 1.36614i | − | 0.0864024i | ||||||
\(251\) | −28.7592 | −1.81526 | −0.907632 | − | 0.419767i | \(-0.862112\pi\) | ||||
−0.907632 | + | 0.419767i | \(0.862112\pi\) | |||||||
\(252\) | −2.94444 | − | 0.574695i | −0.185482 | − | 0.0362024i | ||||
\(253\) | 2.61193 | + | 6.41530i | 0.164211 | + | 0.403326i | ||||
\(254\) | 13.9032i | 0.872364i | ||||||||
\(255\) | 0.842703 | − | 0.694126i | 0.0527721 | − | 0.0434679i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | − | 3.30630i | − | 0.206242i | −0.994669 | − | 0.103121i | \(-0.967117\pi\) | ||
0.994669 | − | 0.103121i | \(-0.0328828\pi\) | |||||||
\(258\) | −15.8852 | + | 13.0845i | −0.988971 | + | 0.814606i | ||||
\(259\) | 2.06950 | 0.128592 | ||||||||
\(260\) | −0.0798960 | −0.00495494 | ||||||||
\(261\) | 4.21328 | + | 0.822346i | 0.260795 | + | 0.0509019i | ||||
\(262\) | 9.55139 | 0.590087 | ||||||||
\(263\) | −0.648912 | −0.0400136 | −0.0200068 | − | 0.999800i | \(-0.506369\pi\) | ||||
−0.0200068 | + | 0.999800i | \(0.506369\pi\) | |||||||
\(264\) | −1.59047 | − | 1.93091i | −0.0978869 | − | 0.118839i | ||||
\(265\) | 1.00581 | 0.0617862 | ||||||||
\(266\) | 7.52773i | 0.461555i | ||||||||
\(267\) | −11.7639 | + | 9.68977i | −0.719936 | + | 0.593004i | ||||
\(268\) | 11.2359i | 0.686344i | ||||||||
\(269\) | 18.8210i | 1.14754i | 0.819018 | + | 0.573768i | \(0.194519\pi\) | ||||
−0.819018 | + | 0.573768i | \(0.805481\pi\) | |||||||
\(270\) | −0.625407 | + | 0.338633i | −0.0380611 | + | 0.0206086i | ||||
\(271\) | −18.3134 | −1.11246 | −0.556231 | − | 0.831028i | \(-0.687753\pi\) | ||||
−0.556231 | + | 0.831028i | \(0.687753\pi\) | |||||||
\(272\) | −4.60532 | −0.279239 | ||||||||
\(273\) | −0.642810 | − | 0.780403i | −0.0389046 | − | 0.0472322i | ||||
\(274\) | − | 13.8847i | − | 0.838804i | ||||||
\(275\) | 7.19446 | 0.433842 | ||||||||
\(276\) | −7.30906 | − | 3.94685i | −0.439954 | − | 0.237572i | ||||
\(277\) | −18.6594 | −1.12113 | −0.560567 | − | 0.828109i | \(-0.689417\pi\) | ||||
−0.560567 | + | 0.828109i | \(0.689417\pi\) | |||||||
\(278\) | 6.91724i | 0.414868i | ||||||||
\(279\) | 5.09189 | − | 26.0882i | 0.304844 | − | 1.56186i | ||||
\(280\) | 0.136871 | 0.00817959 | ||||||||
\(281\) | 20.4331 | 1.21894 | 0.609468 | − | 0.792810i | \(-0.291383\pi\) | ||||
0.609468 | + | 0.792810i | \(0.291383\pi\) | |||||||
\(282\) | −15.1388 | + | 12.4697i | −0.901505 | + | 0.742560i | ||||
\(283\) | − | 18.6039i | − | 1.10589i | −0.833219 | − | 0.552944i | \(-0.813504\pi\) | ||
0.833219 | − | 0.552944i | \(-0.186496\pi\) | |||||||
\(284\) | − | 3.92611i | − | 0.232972i | ||||||
\(285\) | 1.13460 | + | 1.37746i | 0.0672079 | + | 0.0815937i | ||||
\(286\) | − | 0.843088i | − | 0.0498528i | ||||||
\(287\) | −4.66319 | −0.275259 | ||||||||
\(288\) | 2.94444 | + | 0.574695i | 0.173503 | + | 0.0338642i | ||||
\(289\) | 4.20897 | 0.247586 | ||||||||
\(290\) | −0.195852 | −0.0115008 | ||||||||
\(291\) | 12.1677 | + | 14.7721i | 0.713281 | + | 0.865958i | ||||
\(292\) | −10.7313 | −0.628002 | ||||||||
\(293\) | 22.6982 | 1.32604 | 0.663021 | − | 0.748601i | \(-0.269274\pi\) | ||||
0.663021 | + | 0.748601i | \(0.269274\pi\) | |||||||
\(294\) | 1.10121 | + | 1.33692i | 0.0642236 | + | 0.0779706i | ||||
\(295\) | 1.17796i | 0.0685836i | ||||||||
\(296\) | −2.06950 | −0.120287 | ||||||||
\(297\) | −3.57337 | − | 6.59949i | −0.207348 | − | 0.382942i | ||||
\(298\) | − | 4.18429i | − | 0.242389i | ||||||
\(299\) | −1.05565 | − | 2.59282i | −0.0610496 | − | 0.149947i | ||||
\(300\) | −6.65954 | + | 5.48540i | −0.384489 | + | 0.316699i | ||||
\(301\) | 11.8820 | 0.684866 | ||||||||
\(302\) | − | 9.01508i | − | 0.518759i | ||||||
\(303\) | 0.394764 | + | 0.479263i | 0.0226786 | + | 0.0275329i | ||||
\(304\) | − | 7.52773i | − | 0.431745i | ||||||
\(305\) | 1.69959i | 0.0973184i | ||||||||
\(306\) | −13.5601 | − | 2.64665i | −0.775179 | − | 0.151299i | ||||
\(307\) | 6.21291 | 0.354589 | 0.177295 | − | 0.984158i | \(-0.443265\pi\) | ||||
0.177295 | + | 0.984158i | \(0.443265\pi\) | |||||||
\(308\) | 1.44430i | 0.0822968i | ||||||||
\(309\) | 7.26147 | + | 8.81578i | 0.413090 | + | 0.501512i | ||||
\(310\) | 1.21270i | 0.0688766i | ||||||||
\(311\) | 5.35894i | 0.303878i | 0.988390 | + | 0.151939i | \(0.0485517\pi\) | ||||
−0.988390 | + | 0.151939i | \(0.951448\pi\) | |||||||
\(312\) | 0.642810 | + | 0.780403i | 0.0363920 | + | 0.0441816i | ||||
\(313\) | 18.3202i | 1.03552i | 0.855526 | + | 0.517760i | \(0.173234\pi\) | ||||
−0.855526 | + | 0.517760i | \(0.826766\pi\) | |||||||
\(314\) | 16.8453 | 0.950633 | ||||||||
\(315\) | 0.403007 | + | 0.0786588i | 0.0227069 | + | 0.00443192i | ||||
\(316\) | 4.84919i | 0.272788i | ||||||||
\(317\) | − | 2.64552i | − | 0.148587i | −0.997236 | − | 0.0742935i | \(-0.976330\pi\) | ||
0.997236 | − | 0.0742935i | \(-0.0236702\pi\) | |||||||
\(318\) | −8.09231 | − | 9.82446i | −0.453794 | − | 0.550928i | ||||
\(319\) | − | 2.06669i | − | 0.115712i | ||||||
\(320\) | −0.136871 | −0.00765130 | ||||||||
\(321\) | −3.33206 | + | 2.74458i | −0.185978 | + | 0.153188i | ||||
\(322\) | 1.80844 | + | 4.44180i | 0.100780 | + | 0.247532i | ||||
\(323\) | 34.6676i | 1.92896i | ||||||||
\(324\) | 8.33945 | + | 3.38431i | 0.463303 | + | 0.188017i | ||||
\(325\) | −2.90773 | −0.161292 | ||||||||
\(326\) | − | 5.55114i | − | 0.307449i | ||||||
\(327\) | 4.74973 | + | 5.76640i | 0.262661 | + | 0.318883i | ||||
\(328\) | 4.66319 | 0.257482 | ||||||||
\(329\) | 11.3237 | 0.624295 | ||||||||
\(330\) | 0.217689 | + | 0.264285i | 0.0119834 | + | 0.0145484i | ||||
\(331\) | 7.99157 | 0.439257 | 0.219628 | − | 0.975584i | \(-0.429516\pi\) | ||||
0.219628 | + | 0.975584i | \(0.429516\pi\) | |||||||
\(332\) | 16.0249 | 0.879482 | ||||||||
\(333\) | −6.09351 | − | 1.18933i | −0.333922 | − | 0.0651748i | ||||
\(334\) | −21.1439 | −1.15694 | ||||||||
\(335\) | − | 1.53787i | − | 0.0840228i | ||||||
\(336\) | −1.10121 | − | 1.33692i | −0.0600757 | − | 0.0729348i | ||||
\(337\) | 25.1402i | 1.36947i | 0.728791 | + | 0.684736i | \(0.240082\pi\) | ||||
−0.728791 | + | 0.684736i | \(0.759918\pi\) | |||||||
\(338\) | − | 12.6593i | − | 0.688573i | ||||||
\(339\) | 27.4067 | − | 22.5747i | 1.48853 | − | 1.22609i | ||||
\(340\) | 0.630333 | 0.0341846 | ||||||||
\(341\) | −12.7968 | −0.692984 | ||||||||
\(342\) | 4.32615 | − | 22.1650i | 0.233931 | − | 1.19854i | ||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | −11.8820 | −0.640634 | ||||||||
\(345\) | 1.00040 | + | 0.540208i | 0.0538595 | + | 0.0290838i | ||||
\(346\) | 16.0711 | 0.863988 | ||||||||
\(347\) | − | 28.1621i | − | 1.51182i | −0.654676 | − | 0.755909i | \(-0.727195\pi\) | ||
0.654676 | − | 0.755909i | \(-0.272805\pi\) | |||||||
\(348\) | 1.57574 | + | 1.91303i | 0.0844687 | + | 0.102549i | ||||
\(349\) | −14.1592 | −0.757925 | −0.378963 | − | 0.925412i | \(-0.623719\pi\) | ||||
−0.378963 | + | 0.925412i | \(0.623719\pi\) | |||||||
\(350\) | 4.98127 | 0.266260 | ||||||||
\(351\) | 1.44422 | + | 2.66727i | 0.0770869 | + | 0.142368i | ||||
\(352\) | − | 1.44430i | − | 0.0769816i | ||||||
\(353\) | 9.59456i | 0.510667i | 0.966853 | + | 0.255333i | \(0.0821853\pi\) | ||||
−0.966853 | + | 0.255333i | \(0.917815\pi\) | |||||||
\(354\) | 11.5060 | − | 9.47739i | 0.611538 | − | 0.503718i | ||||
\(355\) | 0.537370i | 0.0285206i | ||||||||
\(356\) | −8.79924 | −0.466359 | ||||||||
\(357\) | 5.07140 | + | 6.15693i | 0.268407 | + | 0.325859i | ||||
\(358\) | 14.1093 | 0.745702 | ||||||||
\(359\) | 29.9075 | 1.57846 | 0.789228 | − | 0.614101i | \(-0.210481\pi\) | ||||
0.789228 | + | 0.614101i | \(0.210481\pi\) | |||||||
\(360\) | −0.403007 | − | 0.0786588i | −0.0212404 | − | 0.00414568i | ||||
\(361\) | −37.6667 | −1.98246 | ||||||||
\(362\) | −12.0652 | −0.634131 | ||||||||
\(363\) | 11.9173 | − | 9.81613i | 0.625494 | − | 0.515213i | ||||
\(364\) | − | 0.583733i | − | 0.0305959i | ||||||
\(365\) | 1.46880 | 0.0768805 | ||||||||
\(366\) | 16.6012 | − | 13.6742i | 0.867758 | − | 0.714763i | ||||
\(367\) | 19.4738i | 1.01652i | 0.861203 | + | 0.508261i | \(0.169711\pi\) | ||||
−0.861203 | + | 0.508261i | \(0.830289\pi\) | |||||||
\(368\) | −1.80844 | − | 4.44180i | −0.0942714 | − | 0.231545i | ||||
\(369\) | 13.7305 | + | 2.67991i | 0.714780 | + | 0.139511i | ||||
\(370\) | 0.283253 | 0.0147256 | ||||||||
\(371\) | 7.34859i | 0.381520i | ||||||||
\(372\) | 11.8453 | − | 9.75686i | 0.614151 | − | 0.505870i | ||||
\(373\) | 8.03802i | 0.416193i | 0.978108 | + | 0.208097i | \(0.0667268\pi\) | ||||
−0.978108 | + | 0.208097i | \(0.933273\pi\) | |||||||
\(374\) | 6.65148i | 0.343940i | ||||||||
\(375\) | 1.82642 | − | 1.50440i | 0.0943159 | − | 0.0776870i | ||||
\(376\) | −11.3237 | −0.583975 | ||||||||
\(377\) | 0.835279i | 0.0430191i | ||||||||
\(378\) | −2.47411 | − | 4.56933i | −0.127255 | − | 0.235021i | ||||
\(379\) | − | 13.5465i | − | 0.695838i | −0.937525 | − | 0.347919i | \(-0.886888\pi\) | ||
0.937525 | − | 0.347919i | \(-0.113112\pi\) | |||||||
\(380\) | 1.03033i | 0.0528546i | ||||||||
\(381\) | −18.5874 | + | 15.3103i | −0.952262 | + | 0.784369i | ||||
\(382\) | − | 20.0981i | − | 1.02831i | ||||||
\(383\) | 2.64368 | 0.135086 | 0.0675429 | − | 0.997716i | \(-0.478484\pi\) | ||||
0.0675429 | + | 0.997716i | \(0.478484\pi\) | |||||||
\(384\) | 1.10121 | + | 1.33692i | 0.0561956 | + | 0.0682243i | ||||
\(385\) | − | 0.197683i | − | 0.0100748i | ||||||
\(386\) | 6.21411i | 0.316290i | ||||||||
\(387\) | −34.9858 | − | 6.82852i | −1.77843 | − | 0.347113i | ||||
\(388\) | 11.0494i | 0.560949i | ||||||||
\(389\) | 2.20235 | 0.111664 | 0.0558318 | − | 0.998440i | \(-0.482219\pi\) | ||||
0.0558318 | + | 0.998440i | \(0.482219\pi\) | |||||||
\(390\) | −0.0879819 | − | 0.106814i | −0.00445513 | − | 0.00540875i | ||||
\(391\) | 8.32844 | + | 20.4559i | 0.421187 | + | 1.03450i | ||||
\(392\) | 1.00000i | 0.0505076i | ||||||||
\(393\) | 10.5180 | + | 12.7694i | 0.530565 | + | 0.644132i | ||||
\(394\) | 26.3813 | 1.32907 | ||||||||
\(395\) | − | 0.663712i | − | 0.0333950i | ||||||
\(396\) | 0.830033 | − | 4.25266i | 0.0417107 | − | 0.213704i | ||||
\(397\) | 4.66525 | 0.234142 | 0.117071 | − | 0.993124i | \(-0.462649\pi\) | ||||
0.117071 | + | 0.993124i | \(0.462649\pi\) | |||||||
\(398\) | −13.3080 | −0.667068 | ||||||||
\(399\) | −10.0640 | + | 8.28958i | −0.503828 | + | 0.414998i | ||||
\(400\) | −4.98127 | −0.249063 | ||||||||
\(401\) | 11.8866 | 0.593590 | 0.296795 | − | 0.954941i | \(-0.404082\pi\) | ||||
0.296795 | + | 0.954941i | \(0.404082\pi\) | |||||||
\(402\) | −15.0215 | + | 12.3731i | −0.749205 | + | 0.617112i | ||||
\(403\) | 5.17198 | 0.257635 | ||||||||
\(404\) | 0.358483i | 0.0178352i | ||||||||
\(405\) | −1.14143 | − | 0.463212i | −0.0567179 | − | 0.0230172i | ||||
\(406\) | − | 1.43093i | − | 0.0710157i | ||||||
\(407\) | 2.98898i | 0.148158i | ||||||||
\(408\) | −5.07140 | − | 6.15693i | −0.251072 | − | 0.304813i | ||||
\(409\) | 19.6843 | 0.973324 | 0.486662 | − | 0.873590i | \(-0.338214\pi\) | ||||
0.486662 | + | 0.873590i | \(0.338214\pi\) | |||||||
\(410\) | −0.638254 | −0.0315211 | ||||||||
\(411\) | 18.5627 | − | 15.2899i | 0.915629 | − | 0.754194i | ||||
\(412\) | 6.59411i | 0.324869i | ||||||||
\(413\) | −8.60638 | −0.423492 | ||||||||
\(414\) | −2.77217 | − | 14.1179i | −0.136245 | − | 0.693857i | ||||
\(415\) | −2.19334 | −0.107667 | ||||||||
\(416\) | 0.583733i | 0.0286199i | ||||||||
\(417\) | −9.24777 | + | 7.61730i | −0.452865 | + | 0.373021i | ||||
\(418\) | −10.8723 | −0.531783 | ||||||||
\(419\) | 32.8919 | 1.60687 | 0.803437 | − | 0.595390i | \(-0.203002\pi\) | ||||
0.803437 | + | 0.595390i | \(0.203002\pi\) | |||||||
\(420\) | 0.150723 | + | 0.182985i | 0.00735451 | + | 0.00892874i | ||||
\(421\) | 3.36061i | 0.163786i | 0.996641 | + | 0.0818931i | \(0.0260966\pi\) | ||||
−0.996641 | + | 0.0818931i | \(0.973903\pi\) | |||||||
\(422\) | − | 15.4432i | − | 0.751761i | ||||||
\(423\) | −33.3419 | − | 6.50767i | −1.62114 | − | 0.316414i | ||||
\(424\) | − | 7.34859i | − | 0.356879i | ||||||
\(425\) | 22.9403 | 1.11277 | ||||||||
\(426\) | 5.24889 | − | 4.32346i | 0.254309 | − | 0.209472i | ||||
\(427\) | −12.4175 | −0.600926 | ||||||||
\(428\) | −2.49235 | −0.120472 | ||||||||
\(429\) | 1.12714 | − | 0.928413i | 0.0544188 | − | 0.0448242i | ||||
\(430\) | 1.62630 | 0.0784269 | ||||||||
\(431\) | 32.0006 | 1.54142 | 0.770708 | − | 0.637189i | \(-0.219903\pi\) | ||||
0.770708 | + | 0.637189i | \(0.219903\pi\) | |||||||
\(432\) | 2.47411 | + | 4.56933i | 0.119036 | + | 0.219842i | ||||
\(433\) | − | 32.4391i | − | 1.55892i | −0.626449 | − | 0.779462i | \(-0.715492\pi\) | ||
0.626449 | − | 0.779462i | \(-0.284508\pi\) | |||||||
\(434\) | −8.86017 | −0.425302 | ||||||||
\(435\) | −0.215673 | − | 0.261838i | −0.0103407 | − | 0.0125542i | ||||
\(436\) | 4.31321i | 0.206565i | ||||||||
\(437\) | −33.4366 | + | 13.6134i | −1.59949 | + | 0.651219i | ||||
\(438\) | −11.8174 | − | 14.3469i | −0.564656 | − | 0.685520i | ||||
\(439\) | −13.2858 | −0.634096 | −0.317048 | − | 0.948409i | \(-0.602692\pi\) | ||||
−0.317048 | + | 0.948409i | \(0.602692\pi\) | |||||||
\(440\) | 0.197683i | 0.00942415i | ||||||||
\(441\) | −0.574695 | + | 2.94444i | −0.0273664 | + | 0.140211i | ||||
\(442\) | − | 2.68828i | − | 0.127868i | ||||||
\(443\) | − | 7.36139i | − | 0.349750i | −0.984591 | − | 0.174875i | \(-0.944048\pi\) | ||
0.984591 | − | 0.174875i | \(-0.0559522\pi\) | |||||||
\(444\) | −2.27894 | − | 2.76675i | −0.108154 | − | 0.131304i | ||||
\(445\) | 1.20436 | 0.0570920 | ||||||||
\(446\) | 23.5613i | 1.11566i | ||||||||
\(447\) | 5.59405 | − | 4.60776i | 0.264589 | − | 0.217940i | ||||
\(448\) | − | 1.00000i | − | 0.0472456i | ||||||
\(449\) | 14.0512i | 0.663118i | 0.943434 | + | 0.331559i | \(0.107575\pi\) | ||||
−0.943434 | + | 0.331559i | \(0.892425\pi\) | |||||||
\(450\) | −14.6670 | − | 2.86271i | −0.691411 | − | 0.134949i | ||||
\(451\) | − | 6.73506i | − | 0.317142i | ||||||
\(452\) | 20.5000 | 0.964237 | ||||||||
\(453\) | 12.0524 | − | 9.92745i | 0.566272 | − | 0.466432i | ||||
\(454\) | − | 3.23814i | − | 0.151973i | ||||||
\(455\) | 0.0798960i | 0.00374558i | ||||||||
\(456\) | 10.0640 | − | 8.28958i | 0.471288 | − | 0.388195i | ||||
\(457\) | 26.4623i | 1.23785i | 0.785448 | + | 0.618927i | \(0.212433\pi\) | ||||
−0.785448 | + | 0.618927i | \(0.787567\pi\) | |||||||
\(458\) | 17.7542 | 0.829599 | ||||||||
\(459\) | −11.3941 | − | 21.0432i | −0.531830 | − | 0.982213i | ||||
\(460\) | 0.247522 | + | 0.607951i | 0.0115408 | + | 0.0283459i | ||||
\(461\) | − | 30.1379i | − | 1.40366i | −0.712344 | − | 0.701830i | \(-0.752367\pi\) | ||
0.712344 | − | 0.701830i | \(-0.247633\pi\) | |||||||
\(462\) | −1.93091 | + | 1.59047i | −0.0898342 | + | 0.0739955i | ||||
\(463\) | −33.7207 | −1.56713 | −0.783566 | − | 0.621308i | \(-0.786602\pi\) | ||||
−0.783566 | + | 0.621308i | \(0.786602\pi\) | |||||||
\(464\) | 1.43093i | 0.0664291i | ||||||||
\(465\) | −1.62128 | + | 1.33543i | −0.0751848 | + | 0.0619290i | ||||
\(466\) | 4.04278 | 0.187278 | ||||||||
\(467\) | −5.47544 | −0.253373 | −0.126686 | − | 0.991943i | \(-0.540434\pi\) | ||||
−0.126686 | + | 0.991943i | \(0.540434\pi\) | |||||||
\(468\) | −0.335468 | + | 1.71877i | −0.0155070 | + | 0.0794501i | ||||
\(469\) | 11.2359 | 0.518827 | ||||||||
\(470\) | 1.54988 | 0.0714907 | ||||||||
\(471\) | 18.5501 | + | 22.5207i | 0.854743 | + | 1.03770i | ||||
\(472\) | 8.60638 | 0.396141 | ||||||||
\(473\) | 17.1612i | 0.789072i | ||||||||
\(474\) | −6.48297 | + | 5.33995i | −0.297773 | + | 0.245272i | ||||
\(475\) | 37.4976i | 1.72051i | ||||||||
\(476\) | 4.60532i | 0.211084i | ||||||||
\(477\) | 4.22320 | − | 21.6375i | 0.193367 | − | 0.990713i | ||||
\(478\) | −4.23417 | −0.193667 | ||||||||
\(479\) | −32.7012 | −1.49416 | −0.747078 | − | 0.664736i | \(-0.768544\pi\) | ||||
−0.747078 | + | 0.664736i | \(0.768544\pi\) | |||||||
\(480\) | −0.150723 | − | 0.182985i | −0.00687952 | − | 0.00835207i | ||||
\(481\) | − | 1.20804i | − | 0.0550817i | ||||||
\(482\) | −24.7339 | −1.12660 | ||||||||
\(483\) | −3.94685 | + | 7.30906i | −0.179588 | + | 0.332574i | ||||
\(484\) | 8.91399 | 0.405181 | ||||||||
\(485\) | − | 1.51234i | − | 0.0686718i | ||||||
\(486\) | 4.65891 | + | 14.8760i | 0.211332 | + | 0.674788i | ||||
\(487\) | 22.7090 | 1.02904 | 0.514521 | − | 0.857478i | \(-0.327970\pi\) | ||||
0.514521 | + | 0.857478i | \(0.327970\pi\) | |||||||
\(488\) | 12.4175 | 0.562114 | ||||||||
\(489\) | 7.42142 | − | 6.11295i | 0.335608 | − | 0.276437i | ||||
\(490\) | − | 0.136871i | − | 0.00618319i | ||||||
\(491\) | − | 15.4987i | − | 0.699447i | −0.936853 | − | 0.349723i | \(-0.886276\pi\) | ||
0.936853 | − | 0.349723i | \(-0.113724\pi\) | |||||||
\(492\) | 5.13513 | + | 6.23430i | 0.231509 | + | 0.281064i | ||||
\(493\) | − | 6.58987i | − | 0.296793i | ||||||
\(494\) | 4.39419 | 0.197704 | ||||||||
\(495\) | −0.113607 | + | 0.582065i | −0.00510626 | + | 0.0261619i | ||||
\(496\) | 8.86017 | 0.397833 | ||||||||
\(497\) | −3.92611 | −0.176110 | ||||||||
\(498\) | 17.6467 | + | 21.4240i | 0.790768 | + | 0.960032i | ||||
\(499\) | 28.7631 | 1.28761 | 0.643806 | − | 0.765189i | \(-0.277355\pi\) | ||||
0.643806 | + | 0.765189i | \(0.277355\pi\) | |||||||
\(500\) | 1.36614 | 0.0610957 | ||||||||
\(501\) | −23.2838 | − | 28.2677i | −1.04024 | − | 1.26291i | ||||
\(502\) | − | 28.7592i | − | 1.28359i | ||||||
\(503\) | 9.98768 | 0.445329 | 0.222664 | − | 0.974895i | \(-0.428525\pi\) | ||||
0.222664 | + | 0.974895i | \(0.428525\pi\) | |||||||
\(504\) | 0.574695 | − | 2.94444i | 0.0255989 | − | 0.131156i | ||||
\(505\) | − | 0.0490659i | − | 0.00218340i | ||||||
\(506\) | −6.41530 | + | 2.61193i | −0.285195 | + | 0.116115i | ||||
\(507\) | 16.9244 | − | 13.9404i | 0.751638 | − | 0.619117i | ||||
\(508\) | −13.9032 | −0.616855 | ||||||||
\(509\) | 20.7758i | 0.920873i | 0.887693 | + | 0.460436i | \(0.152307\pi\) | ||||
−0.887693 | + | 0.460436i | \(0.847693\pi\) | |||||||
\(510\) | 0.694126 | + | 0.842703i | 0.0307364 | + | 0.0373155i | ||||
\(511\) | 10.7313i | 0.474725i | ||||||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 34.3967 | − | 18.6245i | 1.51865 | − | 0.822290i | ||||
\(514\) | 3.30630 | 0.145835 | ||||||||
\(515\) | − | 0.902540i | − | 0.0397707i | ||||||
\(516\) | −13.0845 | − | 15.8852i | −0.576013 | − | 0.699308i | ||||
\(517\) | 16.3548i | 0.719285i | ||||||||
\(518\) | 2.06950i | 0.0909285i | ||||||||
\(519\) | 17.6976 | + | 21.4857i | 0.776838 | + | 0.943119i | ||||
\(520\) | − | 0.0798960i | − | 0.00350367i | ||||||
\(521\) | 9.46889 | 0.414840 | 0.207420 | − | 0.978252i | \(-0.433493\pi\) | ||||
0.207420 | + | 0.978252i | \(0.433493\pi\) | |||||||
\(522\) | −0.822346 | + | 4.21328i | −0.0359931 | + | 0.184410i | ||||
\(523\) | − | 5.01624i | − | 0.219345i | −0.993968 | − | 0.109672i | \(-0.965020\pi\) | ||
0.993968 | − | 0.109672i | \(-0.0349802\pi\) | |||||||
\(524\) | 9.55139i | 0.417255i | ||||||||
\(525\) | 5.48540 | + | 6.65954i | 0.239402 | + | 0.290646i | ||||
\(526\) | − | 0.648912i | − | 0.0282939i | ||||||
\(527\) | −40.8039 | −1.77745 | ||||||||
\(528\) | 1.93091 | − | 1.59047i | 0.0840322 | − | 0.0692165i | ||||
\(529\) | −16.4591 | + | 16.0654i | −0.715613 | + | 0.698497i | ||||
\(530\) | 1.00581i | 0.0436895i | ||||||||
\(531\) | 25.3410 | + | 4.94604i | 1.09970 | + | 0.214640i | ||||
\(532\) | −7.52773 | −0.326369 | ||||||||
\(533\) | 2.72206i | 0.117906i | ||||||||
\(534\) | −9.68977 | − | 11.7639i | −0.419317 | − | 0.509072i | ||||
\(535\) | 0.341129 | 0.0147483 | ||||||||
\(536\) | −11.2359 | −0.485318 | ||||||||
\(537\) | 15.5373 | + | 18.8630i | 0.670483 | + | 0.814000i | ||||
\(538\) | −18.8210 | −0.811431 | ||||||||
\(539\) | 1.44430 | 0.0622105 | ||||||||
\(540\) | −0.338633 | − | 0.625407i | −0.0145725 | − | 0.0269132i | ||||
\(541\) | 20.9287 | 0.899796 | 0.449898 | − | 0.893080i | \(-0.351460\pi\) | ||||
0.449898 | + | 0.893080i | \(0.351460\pi\) | |||||||
\(542\) | − | 18.3134i | − | 0.786629i | ||||||
\(543\) | −13.2862 | − | 16.1301i | −0.570166 | − | 0.692210i | ||||
\(544\) | − | 4.60532i | − | 0.197451i | ||||||
\(545\) | − | 0.590352i | − | 0.0252879i | ||||||
\(546\) | 0.780403 | − | 0.642810i | 0.0333982 | − | 0.0275097i | ||||
\(547\) | −25.3979 | −1.08594 | −0.542968 | − | 0.839753i | \(-0.682700\pi\) | ||||
−0.542968 | + | 0.839753i | \(0.682700\pi\) | |||||||
\(548\) | 13.8847 | 0.593124 | ||||||||
\(549\) | 36.5626 | + | 7.13628i | 1.56045 | + | 0.304569i | ||||
\(550\) | 7.19446i | 0.306773i | ||||||||
\(551\) | 10.7716 | 0.458887 | ||||||||
\(552\) | 3.94685 | − | 7.30906i | 0.167989 | − | 0.311094i | ||||
\(553\) | 4.84919 | 0.206209 | ||||||||
\(554\) | − | 18.6594i | − | 0.792761i | ||||||
\(555\) | 0.311920 | + | 0.378686i | 0.0132403 | + | 0.0160743i | ||||
\(556\) | −6.91724 | −0.293356 | ||||||||
\(557\) | 15.8882 | 0.673206 | 0.336603 | − | 0.941647i | \(-0.390722\pi\) | ||||
0.336603 | + | 0.941647i | \(0.390722\pi\) | |||||||
\(558\) | 26.0882 | + | 5.09189i | 1.10440 | + | 0.215557i | ||||
\(559\) | − | 6.93591i | − | 0.293358i | ||||||
\(560\) | 0.136871i | 0.00578384i | ||||||||
\(561\) | −8.89247 | + | 7.32464i | −0.375440 | + | 0.309247i | ||||
\(562\) | 20.4331i | 0.861918i | ||||||||
\(563\) | 29.8113 | 1.25640 | 0.628198 | − | 0.778054i | \(-0.283793\pi\) | ||||
0.628198 | + | 0.778054i | \(0.283793\pi\) | |||||||
\(564\) | −12.4697 | − | 15.1388i | −0.525069 | − | 0.637460i | ||||
\(565\) | −2.80584 | −0.118043 | ||||||||
\(566\) | 18.6039 | 0.781980 | ||||||||
\(567\) | 3.38431 | − | 8.33945i | 0.142128 | − | 0.350224i | ||||
\(568\) | 3.92611 | 0.164736 | ||||||||
\(569\) | 29.1893 | 1.22368 | 0.611840 | − | 0.790981i | \(-0.290430\pi\) | ||||
0.611840 | + | 0.790981i | \(0.290430\pi\) | |||||||
\(570\) | −1.37746 | + | 1.13460i | −0.0576954 | + | 0.0475231i | ||||
\(571\) | − | 6.19818i | − | 0.259386i | −0.991554 | − | 0.129693i | \(-0.958601\pi\) | ||
0.991554 | − | 0.129693i | \(-0.0413991\pi\) | |||||||
\(572\) | 0.843088 | 0.0352513 | ||||||||
\(573\) | 26.8695 | − | 22.1322i | 1.12249 | − | 0.924584i | ||||
\(574\) | − | 4.66319i | − | 0.194638i | ||||||
\(575\) | 9.00832 | + | 22.1258i | 0.375673 | + | 0.922708i | ||||
\(576\) | −0.574695 | + | 2.94444i | −0.0239456 | + | 0.122685i | ||||
\(577\) | 5.81832 | 0.242220 | 0.121110 | − | 0.992639i | \(-0.461355\pi\) | ||||
0.121110 | + | 0.992639i | \(0.461355\pi\) | |||||||
\(578\) | 4.20897i | 0.175070i | ||||||||
\(579\) | −8.30775 | + | 6.84301i | −0.345258 | + | 0.284386i | ||||
\(580\) | − | 0.195852i | − | 0.00813230i | ||||||
\(581\) | − | 16.0249i | − | 0.664826i | ||||||
\(582\) | −14.7721 | + | 12.1677i | −0.612325 | + | 0.504366i | ||||
\(583\) | −10.6136 | −0.439570 | ||||||||
\(584\) | − | 10.7313i | − | 0.444064i | ||||||
\(585\) | 0.0459158 | − | 0.235249i | 0.00189838 | − | 0.00972635i | ||||
\(586\) | 22.6982i | 0.937653i | ||||||||
\(587\) | 22.0666i | 0.910787i | 0.890290 | + | 0.455393i | \(0.150501\pi\) | ||||
−0.890290 | + | 0.455393i | \(0.849499\pi\) | |||||||
\(588\) | −1.33692 | + | 1.10121i | −0.0551335 | + | 0.0454129i | ||||
\(589\) | − | 66.6970i | − | 2.74820i | ||||||
\(590\) | −1.17796 | −0.0484959 | ||||||||
\(591\) | 29.0512 | + | 35.2696i | 1.19501 | + | 1.45080i | ||||
\(592\) | − | 2.06950i | − | 0.0850558i | ||||||
\(593\) | 11.9705i | 0.491568i | 0.969325 | + | 0.245784i | \(0.0790454\pi\) | ||||
−0.969325 | + | 0.245784i | \(0.920955\pi\) | |||||||
\(594\) | 6.59949 | − | 3.57337i | 0.270781 | − | 0.146617i | ||||
\(595\) | − | 0.630333i | − | 0.0258411i | ||||||
\(596\) | 4.18429 | 0.171395 | ||||||||
\(597\) | −14.6548 | − | 17.7916i | −0.599781 | − | 0.728163i | ||||
\(598\) | 2.59282 | − | 1.05565i | 0.106028 | − | 0.0431686i | ||||
\(599\) | − | 27.4925i | − | 1.12331i | −0.827370 | − | 0.561657i | \(-0.810164\pi\) | ||
0.827370 | − | 0.561657i | \(-0.189836\pi\) | |||||||
\(600\) | −5.48540 | − | 6.65954i | −0.223940 | − | 0.271875i | ||||
\(601\) | −25.2682 | −1.03071 | −0.515356 | − | 0.856976i | \(-0.672340\pi\) | ||||
−0.515356 | + | 0.856976i | \(0.672340\pi\) | |||||||
\(602\) | 11.8820i | 0.484274i | ||||||||
\(603\) | −33.0835 | − | 6.45723i | −1.34727 | − | 0.262959i | ||||
\(604\) | 9.01508 | 0.366818 | ||||||||
\(605\) | −1.22006 | −0.0496026 | ||||||||
\(606\) | −0.479263 | + | 0.394764i | −0.0194687 | + | 0.0160362i | ||||
\(607\) | −14.4130 | −0.585008 | −0.292504 | − | 0.956264i | \(-0.594488\pi\) | ||||
−0.292504 | + | 0.956264i | \(0.594488\pi\) | |||||||
\(608\) | 7.52773 | 0.305290 | ||||||||
\(609\) | 1.91303 | − | 1.57574i | 0.0775199 | − | 0.0638523i | ||||
\(610\) | −1.69959 | −0.0688145 | ||||||||
\(611\) | − | 6.61002i | − | 0.267413i | ||||||
\(612\) | 2.64665 | − | 13.5601i | 0.106985 | − | 0.548134i | ||||
\(613\) | 20.2365i | 0.817343i | 0.912682 | + | 0.408671i | \(0.134008\pi\) | ||||
−0.912682 | + | 0.408671i | \(0.865992\pi\) | |||||||
\(614\) | 6.21291i | 0.250732i | ||||||||
\(615\) | −0.702848 | − | 0.853292i | −0.0283416 | − | 0.0344081i | ||||
\(616\) | −1.44430 | −0.0581926 | ||||||||
\(617\) | −23.1317 | −0.931245 | −0.465623 | − | 0.884983i | \(-0.654170\pi\) | ||||
−0.465623 | + | 0.884983i | \(0.654170\pi\) | |||||||
\(618\) | −8.81578 | + | 7.26147i | −0.354623 | + | 0.292099i | ||||
\(619\) | 7.23849i | 0.290939i | 0.989363 | + | 0.145470i | \(0.0464693\pi\) | ||||
−0.989363 | + | 0.145470i | \(0.953531\pi\) | |||||||
\(620\) | −1.21270 | −0.0487031 | ||||||||
\(621\) | 15.8217 | − | 19.2529i | 0.634905 | − | 0.772591i | ||||
\(622\) | −5.35894 | −0.214874 | ||||||||
\(623\) | 8.79924i | 0.352534i | ||||||||
\(624\) | −0.780403 | + | 0.642810i | −0.0312411 | + | 0.0257330i | ||||
\(625\) | 24.7193 | 0.988774 | ||||||||
\(626\) | −18.3202 | −0.732223 | ||||||||
\(627\) | −11.9727 | − | 14.5354i | −0.478142 | − | 0.580488i | ||||
\(628\) | 16.8453i | 0.672199i | ||||||||
\(629\) | 9.53070i | 0.380014i | ||||||||
\(630\) | −0.0786588 | + | 0.403007i | −0.00313384 | + | 0.0160562i | ||||
\(631\) | − | 15.7583i | − | 0.627327i | −0.949534 | − | 0.313664i | \(-0.898444\pi\) | ||
0.949534 | − | 0.313664i | \(-0.101556\pi\) | |||||||
\(632\) | −4.84919 | −0.192890 | ||||||||
\(633\) | 20.6462 | − | 17.0061i | 0.820613 | − | 0.675931i | ||||
\(634\) | 2.64552 | 0.105067 | ||||||||
\(635\) | 1.90294 | 0.0755158 | ||||||||
\(636\) | 9.82446 | − | 8.09231i | 0.389565 | − | 0.320881i | ||||
\(637\) | −0.583733 | −0.0231284 | ||||||||
\(638\) | 2.06669 | 0.0818211 | ||||||||
\(639\) | 11.5602 | + | 2.25632i | 0.457315 | + | 0.0892585i | ||||
\(640\) | − | 0.136871i | − | 0.00541029i | ||||||
\(641\) | −4.55427 | −0.179883 | −0.0899414 | − | 0.995947i | \(-0.528668\pi\) | ||||
−0.0899414 | + | 0.995947i | \(0.528668\pi\) | |||||||
\(642\) | −2.74458 | − | 3.33206i | −0.108320 | − | 0.131506i | ||||
\(643\) | − | 43.3447i | − | 1.70935i | −0.519165 | − | 0.854674i | \(-0.673757\pi\) | ||
0.519165 | − | 0.854674i | \(-0.326243\pi\) | |||||||
\(644\) | −4.44180 | + | 1.80844i | −0.175031 | + | 0.0712625i | ||||
\(645\) | 1.79089 | + | 2.17422i | 0.0705160 | + | 0.0856099i | ||||
\(646\) | −34.6676 | −1.36398 | ||||||||
\(647\) | − | 4.95867i | − | 0.194945i | −0.995238 | − | 0.0974727i | \(-0.968924\pi\) | ||
0.995238 | − | 0.0974727i | \(-0.0310759\pi\) | |||||||
\(648\) | −3.38431 | + | 8.33945i | −0.132948 | + | 0.327605i | ||||
\(649\) | − | 12.4302i | − | 0.487929i | ||||||
\(650\) | − | 2.90773i | − | 0.114051i | ||||||
\(651\) | −9.75686 | − | 11.8453i | −0.382402 | − | 0.464254i | ||||
\(652\) | 5.55114 | 0.217399 | ||||||||
\(653\) | − | 0.410840i | − | 0.0160774i | −0.999968 | − | 0.00803870i | \(-0.997441\pi\) | ||
0.999968 | − | 0.00803870i | \(-0.00255883\pi\) | |||||||
\(654\) | −5.76640 | + | 4.74973i | −0.225484 | + | 0.185729i | ||||
\(655\) | − | 1.30731i | − | 0.0510807i | ||||||
\(656\) | 4.66319i | 0.182067i | ||||||||
\(657\) | 6.16722 | − | 31.5977i | 0.240606 | − | 1.23274i | ||||
\(658\) | 11.3237i | 0.441444i | ||||||||
\(659\) | 15.8332 | 0.616773 | 0.308386 | − | 0.951261i | \(-0.400211\pi\) | ||||
0.308386 | + | 0.951261i | \(0.400211\pi\) | |||||||
\(660\) | −0.264285 | + | 0.217689i | −0.0102873 | + | 0.00847354i | ||||
\(661\) | 14.0569i | 0.546751i | 0.961907 | + | 0.273376i | \(0.0881402\pi\) | ||||
−0.961907 | + | 0.273376i | \(0.911860\pi\) | |||||||
\(662\) | 7.99157i | 0.310601i | ||||||||
\(663\) | 3.59401 | − | 2.96035i | 0.139580 | − | 0.114970i | ||||
\(664\) | 16.0249i | 0.621887i | ||||||||
\(665\) | 1.03033 | 0.0399543 | ||||||||
\(666\) | 1.18933 | − | 6.09351i | 0.0460856 | − | 0.236119i | ||||
\(667\) | 6.35588 | − | 2.58774i | 0.246101 | − | 0.100198i | ||||
\(668\) | − | 21.1439i | − | 0.818083i | ||||||
\(669\) | −31.4994 | + | 25.9458i | −1.21784 | + | 1.00312i | ||||
\(670\) | 1.53787 | 0.0594131 | ||||||||
\(671\) | − | 17.9346i | − | 0.692359i | ||||||
\(672\) | 1.33692 | − | 1.10121i | 0.0515727 | − | 0.0424799i | ||||
\(673\) | −0.450122 | −0.0173509 | −0.00867546 | − | 0.999962i | \(-0.502762\pi\) | ||||
−0.00867546 | + | 0.999962i | \(0.502762\pi\) | |||||||
\(674\) | −25.1402 | −0.968363 | ||||||||
\(675\) | −12.3242 | − | 22.7610i | −0.474359 | − | 0.876073i | ||||
\(676\) | 12.6593 | 0.486894 | ||||||||
\(677\) | −28.0633 | −1.07856 | −0.539280 | − | 0.842127i | \(-0.681303\pi\) | ||||
−0.539280 | + | 0.842127i | \(0.681303\pi\) | |||||||
\(678\) | 22.5747 | + | 27.4067i | 0.866975 | + | 1.05255i | ||||
\(679\) | 11.0494 | 0.424037 | ||||||||
\(680\) | 0.630333i | 0.0241722i | ||||||||
\(681\) | 4.32912 | − | 3.56586i | 0.165892 | − | 0.136644i | ||||
\(682\) | − | 12.7968i | − | 0.490014i | ||||||
\(683\) | 4.44473i | 0.170073i | 0.996378 | + | 0.0850363i | \(0.0271006\pi\) | ||||
−0.996378 | + | 0.0850363i | \(0.972899\pi\) | |||||||
\(684\) | 22.1650 | + | 4.32615i | 0.847498 | + | 0.165414i | ||||
\(685\) | −1.90041 | −0.0726108 | ||||||||
\(686\) | 1.00000 | 0.0381802 | ||||||||
\(687\) | 19.5510 | + | 23.7359i | 0.745918 | + | 0.905581i | ||||
\(688\) | − | 11.8820i | − | 0.452997i | ||||||
\(689\) | 4.28962 | 0.163422 | ||||||||
\(690\) | −0.540208 | + | 1.00040i | −0.0205654 | + | 0.0380844i | ||||
\(691\) | 5.63538 | 0.214380 | 0.107190 | − | 0.994239i | \(-0.465815\pi\) | ||||
0.107190 | + | 0.994239i | \(0.465815\pi\) | |||||||
\(692\) | 16.0711i | 0.610932i | ||||||||
\(693\) | −4.25266 | − | 0.830033i | −0.161545 | − | 0.0315304i | ||||
\(694\) | 28.1621 | 1.06902 | ||||||||
\(695\) | 0.946767 | 0.0359129 | ||||||||
\(696\) | −1.91303 | + | 1.57574i | −0.0725132 | + | 0.0597284i | ||||
\(697\) | − | 21.4755i | − | 0.813442i | ||||||
\(698\) | − | 14.1592i | − | 0.535934i | ||||||
\(699\) | 4.45193 | + | 5.40486i | 0.168387 | + | 0.204431i | ||||
\(700\) | 4.98127i | 0.188274i | ||||||||
\(701\) | −39.8840 | −1.50640 | −0.753198 | − | 0.657793i | \(-0.771490\pi\) | ||||
−0.753198 | + | 0.657793i | \(0.771490\pi\) | |||||||
\(702\) | −2.66727 | + | 1.44422i | −0.100670 | + | 0.0545087i | ||||
\(703\) | −15.5786 | −0.587559 | ||||||||
\(704\) | 1.44430 | 0.0544342 | ||||||||
\(705\) | 1.70674 | + | 2.07206i | 0.0642794 | + | 0.0780384i | ||||
\(706\) | −9.59456 | −0.361096 | ||||||||
\(707\) | 0.358483 | 0.0134822 | ||||||||
\(708\) | 9.47739 | + | 11.5060i | 0.356182 | + | 0.432423i | ||||
\(709\) | − | 9.90560i | − | 0.372013i | −0.982549 | − | 0.186006i | \(-0.940445\pi\) | ||
0.982549 | − | 0.186006i | \(-0.0595545\pi\) | |||||||
\(710\) | −0.537370 | −0.0201671 | ||||||||
\(711\) | −14.2782 | − | 2.78680i | −0.535473 | − | 0.104513i | ||||
\(712\) | − | 8.79924i | − | 0.329765i | ||||||
\(713\) | −16.0231 | − | 39.3551i | −0.600069 | − | 1.47386i | ||||
\(714\) | −6.15693 | + | 5.07140i | −0.230417 | + | 0.189792i | ||||
\(715\) | −0.115394 | −0.00431549 | ||||||||
\(716\) | 14.1093i | 0.527291i | ||||||||
\(717\) | −4.66269 | − | 5.66074i | −0.174131 | − | 0.211404i | ||||
\(718\) | 29.9075i | 1.11614i | ||||||||
\(719\) | − | 40.7021i | − | 1.51793i | −0.651129 | − | 0.758967i | \(-0.725704\pi\) | ||
0.651129 | − | 0.758967i | \(-0.274296\pi\) | |||||||
\(720\) | 0.0786588 | − | 0.403007i | 0.00293144 | − | 0.0150192i | ||||
\(721\) | 6.59411 | 0.245578 | ||||||||
\(722\) | − | 37.6667i | − | 1.40181i | ||||||
\(723\) | −27.2371 | − | 33.0672i | −1.01296 | − | 1.22978i | ||||
\(724\) | − | 12.0652i | − | 0.448398i | ||||||
\(725\) | − | 7.12782i | − | 0.264721i | ||||||
\(726\) | 9.81613 | + | 11.9173i | 0.364311 | + | 0.442291i | ||||
\(727\) | 16.1426i | 0.598695i | 0.954144 | + | 0.299348i | \(0.0967690\pi\) | ||||
−0.954144 | + | 0.299348i | \(0.903231\pi\) | |||||||
\(728\) | 0.583733 | 0.0216346 | ||||||||
\(729\) | −14.7575 | + | 22.6101i | −0.546575 | + | 0.837410i | ||||
\(730\) | 1.46880i | 0.0543627i | ||||||||
\(731\) | 54.7204i | 2.02391i | ||||||||
\(732\) | 13.6742 | + | 16.6012i | 0.505414 | + | 0.613597i | ||||
\(733\) | − | 11.2047i | − | 0.413855i | −0.978356 | − | 0.206928i | \(-0.933654\pi\) | ||
0.978356 | − | 0.206928i | \(-0.0663464\pi\) | |||||||
\(734\) | −19.4738 | −0.718789 | ||||||||
\(735\) | 0.182985 | − | 0.150723i | 0.00674949 | − | 0.00555949i | ||||
\(736\) | 4.44180 | − | 1.80844i | 0.163727 | − | 0.0666600i | ||||
\(737\) | 16.2281i | 0.597769i | ||||||||
\(738\) | −2.67991 | + | 13.7305i | −0.0986489 | + | 0.505426i | ||||
\(739\) | 45.7068 | 1.68135 | 0.840675 | − | 0.541540i | \(-0.182158\pi\) | ||||
0.840675 | + | 0.541540i | \(0.182158\pi\) | |||||||
\(740\) | 0.283253i | 0.0104126i | ||||||||
\(741\) | 4.83890 | + | 5.87467i | 0.177762 | + | 0.215811i | ||||
\(742\) | −7.34859 | −0.269775 | ||||||||
\(743\) | −11.1584 | −0.409363 | −0.204682 | − | 0.978829i | \(-0.565616\pi\) | ||||
−0.204682 | + | 0.978829i | \(0.565616\pi\) | |||||||
\(744\) | 9.75686 | + | 11.8453i | 0.357704 | + | 0.434270i | ||||
\(745\) | −0.572707 | −0.0209823 | ||||||||
\(746\) | −8.03802 | −0.294293 | ||||||||
\(747\) | −9.20943 | + | 47.1844i | −0.336956 | + | 1.72639i | ||||
\(748\) | −6.65148 | −0.243202 | ||||||||
\(749\) | 2.49235i | 0.0910684i | ||||||||
\(750\) | 1.50440 | + | 1.82642i | 0.0549330 | + | 0.0666914i | ||||
\(751\) | 43.7364i | 1.59596i | 0.602682 | + | 0.797981i | \(0.294099\pi\) | ||||
−0.602682 | + | 0.797981i | \(0.705901\pi\) | |||||||
\(752\) | − | 11.3237i | − | 0.412933i | ||||||
\(753\) | 38.4487 | − | 31.6698i | 1.40115 | − | 1.15411i | ||||
\(754\) | −0.835279 | −0.0304191 | ||||||||
\(755\) | −1.23390 | −0.0449062 | ||||||||
\(756\) | 4.56933 | − | 2.47411i | 0.166185 | − | 0.0899826i | ||||
\(757\) | 34.9544i | 1.27044i | 0.772331 | + | 0.635220i | \(0.219091\pi\) | ||||
−0.772331 | + | 0.635220i | \(0.780909\pi\) | |||||||
\(758\) | 13.5465 | 0.492032 | ||||||||
\(759\) | −10.5565 | − | 5.70045i | −0.383177 | − | 0.206913i | ||||
\(760\) | −1.03033 | −0.0373738 | ||||||||
\(761\) | − | 21.0859i | − | 0.764364i | −0.924087 | − | 0.382182i | \(-0.875173\pi\) | ||
0.924087 | − | 0.382182i | \(-0.124827\pi\) | |||||||
\(762\) | −15.3103 | − | 18.5874i | −0.554633 | − | 0.673351i | ||||
\(763\) | 4.31321 | 0.156149 | ||||||||
\(764\) | 20.0981 | 0.727125 | ||||||||
\(765\) | −0.362249 | + | 1.85598i | −0.0130971 | + | 0.0671030i | ||||
\(766\) | 2.64368i | 0.0955200i | ||||||||
\(767\) | 5.02383i | 0.181400i | ||||||||
\(768\) | −1.33692 | + | 1.10121i | −0.0482418 | + | 0.0397363i | ||||
\(769\) | 20.4339i | 0.736865i | 0.929654 | + | 0.368433i | \(0.120105\pi\) | ||||
−0.929654 | + | 0.368433i | \(0.879895\pi\) | |||||||
\(770\) | 0.197683 | 0.00712399 | ||||||||
\(771\) | 3.64092 | + | 4.42026i | 0.131125 | + | 0.159192i | ||||
\(772\) | −6.21411 | −0.223651 | ||||||||
\(773\) | −21.5230 | −0.774128 | −0.387064 | − | 0.922053i | \(-0.626511\pi\) | ||||
−0.387064 | + | 0.922053i | \(0.626511\pi\) | |||||||
\(774\) | 6.82852 | − | 34.9858i | 0.245446 | − | 1.25754i | ||||
\(775\) | −44.1349 | −1.58537 | ||||||||
\(776\) | −11.0494 | −0.396651 | ||||||||
\(777\) | −2.76675 | + | 2.27894i | −0.0992565 | + | 0.0817566i | ||||
\(778\) | 2.20235i | 0.0789581i | ||||||||
\(779\) | 35.1032 | 1.25770 | ||||||||
\(780\) | 0.106814 | − | 0.0879819i | 0.00382457 | − | 0.00315026i | ||||
\(781\) | − | 5.67050i | − | 0.202906i | ||||||
\(782\) | −20.4559 | + | 8.32844i | −0.731501 | + | 0.297824i | ||||
\(783\) | −6.53837 | + | 3.54027i | −0.233662 | + | 0.126519i | ||||
\(784\) | −1.00000 | −0.0357143 | ||||||||
\(785\) | − | 2.30562i | − | 0.0822911i | ||||||
\(786\) | −12.7694 | + | 10.5180i | −0.455470 | + | 0.375166i | ||||
\(787\) | 8.02490i | 0.286057i | 0.989719 | + | 0.143028i | \(0.0456840\pi\) | ||||
−0.989719 | + | 0.143028i | \(0.954316\pi\) | |||||||
\(788\) | 26.3813i | 0.939796i | ||||||||
\(789\) | 0.867541 | − | 0.714585i | 0.0308853 | − | 0.0254399i | ||||
\(790\) | 0.663712 | 0.0236138 | ||||||||
\(791\) | − | 20.5000i | − | 0.728895i | ||||||
\(792\) | 4.25266 | + | 0.830033i | 0.151112 | + | 0.0294939i | ||||
\(793\) | 7.24852i | 0.257402i | ||||||||
\(794\) | 4.66525i | 0.165563i | ||||||||
\(795\) | −1.34468 | + | 1.10760i | −0.0476909 | + | 0.0392825i | ||||
\(796\) | − | 13.3080i | − | 0.471688i | ||||||
\(797\) | −24.9547 | −0.883940 | −0.441970 | − | 0.897030i | \(-0.645720\pi\) | ||||
−0.441970 | + | 0.897030i | \(0.645720\pi\) | |||||||
\(798\) | −8.28958 | − | 10.0640i | −0.293448 | − | 0.356260i | ||||
\(799\) | 52.1492i | 1.84491i | ||||||||
\(800\) | − | 4.98127i | − | 0.176114i | ||||||
\(801\) | 5.05688 | − | 25.9088i | 0.178676 | − | 0.915444i | ||||
\(802\) | 11.8866i | 0.419732i | ||||||||
\(803\) | −15.4993 | −0.546957 | ||||||||
\(804\) | −12.3731 | − | 15.0215i | −0.436364 | − | 0.529768i | ||||
\(805\) | 0.607951 | − | 0.247522i | 0.0214275 | − | 0.00872401i | ||||
\(806\) | 5.17198i | 0.182175i | ||||||||
\(807\) | −20.7258 | − | 25.1621i | −0.729582 | − | 0.885749i | ||||
\(808\) | −0.358483 | −0.0126114 | ||||||||
\(809\) | 22.5116i | 0.791466i | 0.918366 | + | 0.395733i | \(0.129509\pi\) | ||||
−0.918366 | + | 0.395733i | \(0.870491\pi\) | |||||||
\(810\) | 0.463212 | − | 1.14143i | 0.0162756 | − | 0.0401056i | ||||
\(811\) | 4.41367 | 0.154985 | 0.0774924 | − | 0.996993i | \(-0.475309\pi\) | ||||
0.0774924 | + | 0.996993i | \(0.475309\pi\) | |||||||
\(812\) | 1.43093 | 0.0502157 | ||||||||
\(813\) | 24.4835 | − | 20.1668i | 0.858675 | − | 0.707282i | ||||
\(814\) | −2.98898 | −0.104764 | ||||||||
\(815\) | −0.759788 | −0.0266142 | ||||||||
\(816\) | 6.15693 | − | 5.07140i | 0.215536 | − | 0.177535i | ||||
\(817\) | −89.4444 | −3.12926 | ||||||||
\(818\) | 19.6843i | 0.688244i | ||||||||
\(819\) | 1.71877 | + | 0.335468i | 0.0600586 | + | 0.0117222i | ||||
\(820\) | − | 0.638254i | − | 0.0222888i | ||||||
\(821\) | − | 43.9235i | − | 1.53294i | −0.642279 | − | 0.766471i | \(-0.722011\pi\) | ||
0.642279 | − | 0.766471i | \(-0.277989\pi\) | |||||||
\(822\) | 15.2899 | + | 18.5627i | 0.533296 | + | 0.647447i | ||||
\(823\) | 18.0143 | 0.627938 | 0.313969 | − | 0.949433i | \(-0.398341\pi\) | ||||
0.313969 | + | 0.949433i | \(0.398341\pi\) | |||||||
\(824\) | −6.59411 | −0.229717 | ||||||||
\(825\) | −9.61839 | + | 7.92257i | −0.334869 | + | 0.275829i | ||||
\(826\) | − | 8.60638i | − | 0.299454i | ||||||
\(827\) | 0.870316 | 0.0302639 | 0.0151319 | − | 0.999886i | \(-0.495183\pi\) | ||||
0.0151319 | + | 0.999886i | \(0.495183\pi\) | |||||||
\(828\) | 14.1179 | − | 2.77217i | 0.490631 | − | 0.0963394i | ||||
\(829\) | −12.0910 | −0.419937 | −0.209969 | − | 0.977708i | \(-0.567336\pi\) | ||||
−0.209969 | + | 0.977708i | \(0.567336\pi\) | |||||||
\(830\) | − | 2.19334i | − | 0.0761320i | ||||||
\(831\) | 24.9460 | − | 20.5478i | 0.865369 | − | 0.712796i | ||||
\(832\) | −0.583733 | −0.0202373 | ||||||||
\(833\) | 4.60532 | 0.159565 | ||||||||
\(834\) | −7.61730 | − | 9.24777i | −0.263765 | − | 0.320224i | ||||
\(835\) | 2.89398i | 0.100150i | ||||||||
\(836\) | − | 10.8723i | − | 0.376027i | ||||||
\(837\) | 21.9211 | + | 40.4850i | 0.757703 | + | 1.39937i | ||||
\(838\) | 32.8919i | 1.13623i | ||||||||
\(839\) | −4.74122 | −0.163685 | −0.0818426 | − | 0.996645i | \(-0.526080\pi\) | ||||
−0.0818426 | + | 0.996645i | \(0.526080\pi\) | |||||||
\(840\) | −0.182985 | + | 0.150723i | −0.00631357 | + | 0.00520043i | ||||
\(841\) | 26.9525 | 0.929395 | ||||||||
\(842\) | −3.36061 | −0.115814 | ||||||||
\(843\) | −27.3174 | + | 22.5010i | −0.940860 | + | 0.774977i | ||||
\(844\) | 15.4432 | 0.531575 | ||||||||
\(845\) | −1.73268 | −0.0596060 | ||||||||
\(846\) | 6.50767 | − | 33.3419i | 0.223738 | − | 1.14632i | ||||
\(847\) | − | 8.91399i | − | 0.306288i | ||||||
\(848\) | 7.34859 | 0.252352 | ||||||||
\(849\) | 20.4867 | + | 24.8719i | 0.703102 | + | 0.853601i | ||||
\(850\) | 22.9403i | 0.786847i | ||||||||
\(851\) | −9.19229 | + | 3.74256i | −0.315107 | + | 0.128293i | ||||
\(852\) | 4.32346 | + | 5.24889i | 0.148119 | + | 0.179824i | ||||
\(853\) | 41.4396 | 1.41886 | 0.709432 | − | 0.704774i | \(-0.248951\pi\) | ||||
0.709432 | + | 0.704774i | \(0.248951\pi\) | |||||||
\(854\) | − | 12.4175i | − | 0.424919i | ||||||
\(855\) | −3.03373 | − | 0.592122i | −0.103751 | − | 0.0202502i | ||||
\(856\) | − | 2.49235i | − | 0.0851867i | ||||||
\(857\) | 30.7161i | 1.04924i | 0.851336 | + | 0.524621i | \(0.175793\pi\) | ||||
−0.851336 | + | 0.524621i | \(0.824207\pi\) | |||||||
\(858\) | 0.928413 | + | 1.12714i | 0.0316955 | + | 0.0384799i | ||||
\(859\) | −12.3909 | −0.422772 | −0.211386 | − | 0.977403i | \(-0.567798\pi\) | ||||
−0.211386 | + | 0.977403i | \(0.567798\pi\) | |||||||
\(860\) | 1.62630i | 0.0554562i | ||||||||
\(861\) | 6.23430 | − | 5.13513i | 0.212464 | − | 0.175005i | ||||
\(862\) | 32.0006i | 1.08995i | ||||||||
\(863\) | − | 26.8036i | − | 0.912405i | −0.889876 | − | 0.456203i | \(-0.849209\pi\) | ||
0.889876 | − | 0.456203i | \(-0.150791\pi\) | |||||||
\(864\) | −4.56933 | + | 2.47411i | −0.155452 | + | 0.0841710i | ||||
\(865\) | − | 2.19966i | − | 0.0747908i | ||||||
\(866\) | 32.4391 | 1.10233 | ||||||||
\(867\) | −5.62704 | + | 4.63494i | −0.191104 | + | 0.157411i | ||||
\(868\) | − | 8.86017i | − | 0.300734i | ||||||
\(869\) | 7.00370i | 0.237584i | ||||||||
\(870\) | 0.261838 | − | 0.215673i | 0.00887713 | − | 0.00731200i | ||||
\(871\) | − | 6.55879i | − | 0.222236i | ||||||
\(872\) | −4.31321 | −0.146064 | ||||||||
\(873\) | −32.5343 | − | 6.35003i | −1.10112 | − | 0.214916i | ||||
\(874\) | −13.6134 | − | 33.4366i | −0.460482 | − | 1.13101i | ||||
\(875\) | − | 1.36614i | − | 0.0461840i | ||||||
\(876\) | 14.3469 | − | 11.8174i | 0.484736 | − | 0.399272i | ||||
\(877\) | 15.2537 | 0.515080 | 0.257540 | − | 0.966268i | \(-0.417088\pi\) | ||||
0.257540 | + | 0.966268i | \(0.417088\pi\) | |||||||
\(878\) | − | 13.2858i | − | 0.448374i | ||||||
\(879\) | −30.3456 | + | 24.9954i | −1.02353 | + | 0.843072i | ||||
\(880\) | −0.197683 | −0.00666388 | ||||||||
\(881\) | −15.3571 | −0.517395 | −0.258698 | − | 0.965958i | \(-0.583293\pi\) | ||||
−0.258698 | + | 0.965958i | \(0.583293\pi\) | |||||||
\(882\) | −2.94444 | − | 0.574695i | −0.0991444 | − | 0.0193510i | ||||
\(883\) | −36.6191 | −1.23233 | −0.616166 | − | 0.787616i | \(-0.711315\pi\) | ||||
−0.616166 | + | 0.787616i | \(0.711315\pi\) | |||||||
\(884\) | 2.68828 | 0.0904166 | ||||||||
\(885\) | −1.29718 | − | 1.57484i | −0.0436041 | − | 0.0529376i | ||||
\(886\) | 7.36139 | 0.247311 | ||||||||
\(887\) | 36.3690i | 1.22115i | 0.791958 | + | 0.610576i | \(0.209062\pi\) | ||||
−0.791958 | + | 0.610576i | \(0.790938\pi\) | |||||||
\(888\) | 2.76675 | − | 2.27894i | 0.0928459 | − | 0.0764763i | ||||
\(889\) | 13.9032i | 0.466298i | ||||||||
\(890\) | 1.20436i | 0.0403702i | ||||||||
\(891\) | 12.0447 | + | 4.88797i | 0.403512 | + | 0.163753i | ||||
\(892\) | −23.5613 | −0.788889 | ||||||||
\(893\) | −85.2417 | −2.85251 | ||||||||
\(894\) | 4.60776 | + | 5.59405i | 0.154107 | + | 0.187093i | ||||
\(895\) | − | 1.93116i | − | 0.0645514i | ||||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | 4.26654 | + | 2.30391i | 0.142456 | + | 0.0769252i | ||||
\(898\) | −14.0512 | −0.468895 | ||||||||
\(899\) | 12.6782i | 0.422843i | ||||||||
\(900\) | 2.86271 | − | 14.6670i | 0.0954236 | − | 0.488901i | ||||
\(901\) | −33.8426 | −1.12746 | ||||||||
\(902\) | 6.73506 | 0.224253 | ||||||||
\(903\) | −15.8852 | + | 13.0845i | −0.528628 | + | 0.435425i | ||||
\(904\) | 20.5000i | 0.681819i | ||||||||
\(905\) | 1.65137i | 0.0548933i | ||||||||
\(906\) | 9.92745 | + | 12.0524i | 0.329817 | + | 0.400415i | ||||
\(907\) | 34.8645i | 1.15766i | 0.815450 | + | 0.578828i | \(0.196490\pi\) | ||||
−0.815450 | + | 0.578828i | \(0.803510\pi\) | |||||||
\(908\) | 3.23814 | 0.107461 | ||||||||
\(909\) | −1.05553 | − | 0.206018i | −0.0350098 | − | 0.00683320i | ||||
\(910\) | −0.0798960 | −0.00264853 | ||||||||
\(911\) | −27.4387 | −0.909083 | −0.454542 | − | 0.890725i | \(-0.650197\pi\) | ||||
−0.454542 | + | 0.890725i | \(0.650197\pi\) | |||||||
\(912\) | 8.28958 | + | 10.0640i | 0.274495 | + | 0.333251i | ||||
\(913\) | 23.1448 | 0.765982 | ||||||||
\(914\) | −26.4623 | −0.875296 | ||||||||
\(915\) | −1.87160 | − | 2.27221i | −0.0618732 | − | 0.0751171i | ||||
\(916\) | 17.7542i | 0.586615i | ||||||||
\(917\) | 9.55139 | 0.315415 | ||||||||
\(918\) | 21.0432 | − | 11.3941i | 0.694530 | − | 0.376061i | ||||
\(919\) | 3.06053i | 0.100957i | 0.998725 | + | 0.0504787i | \(0.0160747\pi\) | ||||
−0.998725 | + | 0.0504787i | \(0.983925\pi\) | |||||||
\(920\) | −0.607951 | + | 0.247522i | −0.0200436 | + | 0.00816057i | ||||
\(921\) | −8.30614 | + | 6.84168i | −0.273697 | + | 0.225441i | ||||
\(922\) | 30.1379 | 0.992538 | ||||||||
\(923\) | 2.29180i | 0.0754356i | ||||||||
\(924\) | −1.59047 | − | 1.93091i | −0.0523227 | − | 0.0635224i | ||||
\(925\) | 10.3087i | 0.338949i | ||||||||
\(926\) | − | 33.7207i | − | 1.10813i | ||||||
\(927\) | −19.4160 | − | 3.78960i | −0.637704 | − | 0.124467i | ||||
\(928\) | −1.43093 | −0.0469724 | ||||||||
\(929\) | − | 28.3761i | − | 0.930989i | −0.885051 | − | 0.465495i | \(-0.845876\pi\) | ||
0.885051 | − | 0.465495i | \(-0.154124\pi\) | |||||||
\(930\) | −1.33543 | − | 1.62128i | −0.0437904 | − | 0.0531637i | ||||
\(931\) | 7.52773i | 0.246711i | ||||||||
\(932\) | 4.04278i | 0.132426i | ||||||||
\(933\) | −5.90129 | − | 7.16446i | −0.193200 | − | 0.234554i | ||||
\(934\) | − | 5.47544i | − | 0.179162i | ||||||
\(935\) | 0.910392 | 0.0297730 | ||||||||
\(936\) | −1.71877 | − | 0.335468i | −0.0561797 | − | 0.0109651i | ||||
\(937\) | 9.15261i | 0.299003i | 0.988762 | + | 0.149501i | \(0.0477668\pi\) | ||||
−0.988762 | + | 0.149501i | \(0.952233\pi\) | |||||||
\(938\) | 11.2359i | 0.366866i | ||||||||
\(939\) | −20.1743 | − | 24.4926i | −0.658364 | − | 0.799286i | ||||
\(940\) | 1.54988i | 0.0505516i | ||||||||
\(941\) | −10.5373 | −0.343507 | −0.171754 | − | 0.985140i | \(-0.554943\pi\) | ||||
−0.171754 | + | 0.985140i | \(0.554943\pi\) | |||||||
\(942\) | −22.5207 | + | 18.5501i | −0.733764 | + | 0.604394i | ||||
\(943\) | 20.7129 | − | 8.43310i | 0.674506 | − | 0.274619i | ||||
\(944\) | 8.60638i | 0.280114i | ||||||||
\(945\) | −0.625407 | + | 0.338633i | −0.0203445 | + | 0.0110157i | ||||
\(946\) | −17.1612 | −0.557958 | ||||||||
\(947\) | − | 25.2620i | − | 0.820903i | −0.911882 | − | 0.410452i | \(-0.865371\pi\) | ||
0.911882 | − | 0.410452i | \(-0.134629\pi\) | |||||||
\(948\) | −5.33995 | − | 6.48297i | −0.173434 | − | 0.210557i | ||||
\(949\) | 6.26422 | 0.203345 | ||||||||
\(950\) | −37.4976 | −1.21658 | ||||||||
\(951\) | 2.91326 | + | 3.53684i | 0.0944688 | + | 0.114690i | ||||
\(952\) | −4.60532 | −0.149259 | ||||||||
\(953\) | 35.7700 | 1.15870 | 0.579351 | − | 0.815078i | \(-0.303306\pi\) | ||||
0.579351 | + | 0.815078i | \(0.303306\pi\) | |||||||
\(954\) | 21.6375 | + | 4.22320i | 0.700540 | + | 0.136731i | ||||
\(955\) | −2.75084 | −0.0890152 | ||||||||
\(956\) | − | 4.23417i | − | 0.136943i | ||||||
\(957\) | 2.27585 | + | 2.76299i | 0.0735678 | + | 0.0893149i | ||||
\(958\) | − | 32.7012i | − | 1.05653i | ||||||
\(959\) | − | 13.8847i | − | 0.448360i | ||||||
\(960\) | 0.182985 | − | 0.150723i | 0.00590581 | − | 0.00486455i | ||||
\(961\) | 47.5026 | 1.53234 | ||||||||
\(962\) | 1.20804 | 0.0389486 | ||||||||
\(963\) | 1.43234 | − | 7.33856i | 0.0461565 | − | 0.236482i | ||||
\(964\) | − | 24.7339i | − | 0.796626i | ||||||
\(965\) | 0.850529 | 0.0273795 | ||||||||
\(966\) | −7.30906 | − | 3.94685i | −0.235165 | − | 0.126988i | ||||
\(967\) | 1.65650 | 0.0532694 | 0.0266347 | − | 0.999645i | \(-0.491521\pi\) | ||||
0.0266347 | + | 0.999645i | \(0.491521\pi\) | |||||||
\(968\) | 8.91399i | 0.286506i | ||||||||
\(969\) | −38.1761 | − | 46.3477i | −1.22639 | − | 1.48890i | ||||
\(970\) | 1.51234 | 0.0485583 | ||||||||
\(971\) | 41.3159 | 1.32589 | 0.662944 | − | 0.748669i | \(-0.269307\pi\) | ||||
0.662944 | + | 0.748669i | \(0.269307\pi\) | |||||||
\(972\) | −14.8760 | + | 4.65891i | −0.477147 | + | 0.149435i | ||||
\(973\) | 6.91724i | 0.221756i | ||||||||
\(974\) | 22.7090i | 0.727643i | ||||||||
\(975\) | 3.88740 | − | 3.20201i | 0.124496 | − | 0.102546i | ||||
\(976\) | 12.4175i | 0.397475i | ||||||||
\(977\) | −2.29729 | −0.0734969 | −0.0367484 | − | 0.999325i | \(-0.511700\pi\) | ||||
−0.0367484 | + | 0.999325i | \(0.511700\pi\) | |||||||
\(978\) | 6.11295 | + | 7.42142i | 0.195470 | + | 0.237311i | ||||
\(979\) | −12.7088 | −0.406174 | ||||||||
\(980\) | 0.136871 | 0.00437217 | ||||||||
\(981\) | −12.7000 | − | 2.47878i | −0.405479 | − | 0.0791413i | ||||
\(982\) | 15.4987 | 0.494583 | ||||||||
\(983\) | −13.4830 | −0.430041 | −0.215020 | − | 0.976610i | \(-0.568982\pi\) | ||||
−0.215020 | + | 0.976610i | \(0.568982\pi\) | |||||||
\(984\) | −6.23430 | + | 5.13513i | −0.198742 | + | 0.163702i | ||||
\(985\) | − | 3.61083i | − | 0.115051i | ||||||
\(986\) | 6.58987 | 0.209864 | ||||||||
\(987\) | −15.1388 | + | 12.4697i | −0.481875 | + | 0.396915i | ||||
\(988\) | 4.39419i | 0.139798i | ||||||||
\(989\) | −52.7774 | + | 21.4879i | −1.67822 | + | 0.683274i | ||||
\(990\) | −0.582065 | − | 0.113607i | −0.0184992 | − | 0.00361067i | ||||
\(991\) | −37.0168 | −1.17588 | −0.587939 | − | 0.808905i | \(-0.700061\pi\) | ||||
−0.587939 | + | 0.808905i | \(0.700061\pi\) | |||||||
\(992\) | 8.86017i | 0.281311i | ||||||||
\(993\) | −10.6841 | + | 8.80036i | −0.339049 | + | 0.279271i | ||||
\(994\) | − | 3.92611i | − | 0.124529i | ||||||
\(995\) | 1.82147i | 0.0577445i | ||||||||
\(996\) | −21.4240 | + | 17.6467i | −0.678845 | + | 0.559158i | ||||
\(997\) | 7.72316 | 0.244595 | 0.122297 | − | 0.992493i | \(-0.460974\pi\) | ||||
0.122297 | + | 0.992493i | \(0.460974\pi\) | |||||||
\(998\) | 28.7631i | 0.910479i | ||||||||
\(999\) | 9.45622 | − | 5.12017i | 0.299181 | − | 0.161995i |
(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 | 966.2.h.b.827.14 | yes | 24 | |
3.2 | odd | 2 | 966.2.h.a.827.2 | ✓ | 24 | ||
23.22 | odd | 2 | 966.2.h.a.827.14 | yes | 24 | ||
69.68 | even | 2 | inner | 966.2.h.b.827.2 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.h.a.827.2 | ✓ | 24 | 3.2 | odd | 2 | ||
966.2.h.a.827.14 | yes | 24 | 23.22 | odd | 2 | ||
966.2.h.b.827.2 | yes | 24 | 69.68 | even | 2 | inner | |
966.2.h.b.827.14 | yes | 24 | 1.1 | even | 1 | trivial |