Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(535,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, 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("804.535");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.e (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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 535.10 | ||
Character | \(\chi\) | \(=\) | 804.535 |
Dual form | 804.2.e.b.535.9 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.01423 | + | 0.985563i | −0.717170 | + | 0.696898i | ||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | 0.0573324 | − | 1.99918i | 0.0286662 | − | 0.999589i | ||||
\(5\) | − | 1.66897i | − | 0.746385i | −0.927754 | − | 0.373192i | \(-0.878263\pi\) | ||
0.927754 | − | 0.373192i | \(-0.121737\pi\) | |||||||
\(6\) | −1.01423 | + | 0.985563i | −0.414058 | + | 0.402354i | ||||
\(7\) | 0.193635 | 0.0731871 | 0.0365935 | − | 0.999330i | \(-0.488349\pi\) | ||||
0.0365935 | + | 0.999330i | \(0.488349\pi\) | |||||||
\(8\) | 1.91217 | + | 2.08413i | 0.676053 | + | 0.736853i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 1.64487 | + | 1.69272i | 0.520154 | + | 0.535285i | ||||
\(11\) | 5.43109 | 1.63754 | 0.818768 | − | 0.574124i | \(-0.194657\pi\) | ||||
0.818768 | + | 0.574124i | \(0.194657\pi\) | |||||||
\(12\) | 0.0573324 | − | 1.99918i | 0.0165504 | − | 0.577113i | ||||
\(13\) | 3.51804i | 0.975729i | 0.872919 | + | 0.487865i | \(0.162224\pi\) | ||||
−0.872919 | + | 0.487865i | \(0.837776\pi\) | |||||||
\(14\) | −0.196391 | + | 0.190839i | −0.0524876 | + | 0.0510039i | ||||
\(15\) | − | 1.66897i | − | 0.430925i | ||||||
\(16\) | −3.99343 | − | 0.229235i | −0.998356 | − | 0.0573088i | ||||
\(17\) | −4.63759 | −1.12478 | −0.562390 | − | 0.826872i | \(-0.690118\pi\) | ||||
−0.562390 | + | 0.826872i | \(0.690118\pi\) | |||||||
\(18\) | −1.01423 | + | 0.985563i | −0.239057 | + | 0.232299i | ||||
\(19\) | − | 1.14965i | − | 0.263747i | −0.991267 | − | 0.131874i | \(-0.957901\pi\) | ||
0.991267 | − | 0.131874i | \(-0.0420993\pi\) | |||||||
\(20\) | −3.33656 | − | 0.0956859i | −0.746078 | − | 0.0213960i | ||||
\(21\) | 0.193635 | 0.0422546 | ||||||||
\(22\) | −5.50839 | + | 5.35268i | −1.17439 | + | 1.14120i | ||||
\(23\) | − | 7.82441i | − | 1.63150i | −0.578404 | − | 0.815751i | \(-0.696324\pi\) | ||
0.578404 | − | 0.815751i | \(-0.303676\pi\) | |||||||
\(24\) | 1.91217 | + | 2.08413i | 0.390319 | + | 0.425422i | ||||
\(25\) | 2.21455 | 0.442910 | ||||||||
\(26\) | −3.46725 | − | 3.56811i | −0.679984 | − | 0.699764i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 0.0111015 | − | 0.387110i | 0.00209800 | − | 0.0731570i | ||||
\(29\) | −3.87278 | −0.719157 | −0.359578 | − | 0.933115i | \(-0.617079\pi\) | ||||
−0.359578 | + | 0.933115i | \(0.617079\pi\) | |||||||
\(30\) | 1.64487 | + | 1.69272i | 0.300311 | + | 0.309047i | ||||
\(31\) | 8.23578 | 1.47919 | 0.739595 | − | 0.673052i | \(-0.235017\pi\) | ||||
0.739595 | + | 0.673052i | \(0.235017\pi\) | |||||||
\(32\) | 4.27619 | − | 3.70327i | 0.755930 | − | 0.654653i | ||||
\(33\) | 5.43109 | 0.945432 | ||||||||
\(34\) | 4.70359 | − | 4.57063i | 0.806659 | − | 0.783857i | ||||
\(35\) | − | 0.323170i | − | 0.0546257i | ||||||
\(36\) | 0.0573324 | − | 1.99918i | 0.00955540 | − | 0.333196i | ||||
\(37\) | 11.0522 | 1.81697 | 0.908485 | − | 0.417918i | \(-0.137240\pi\) | ||||
0.908485 | + | 0.417918i | \(0.137240\pi\) | |||||||
\(38\) | 1.13305 | + | 1.16601i | 0.183805 | + | 0.189152i | ||||
\(39\) | 3.51804i | 0.563337i | ||||||||
\(40\) | 3.47835 | − | 3.19134i | 0.549976 | − | 0.504596i | ||||
\(41\) | 0.746078i | 0.116518i | 0.998302 | + | 0.0582589i | \(0.0185549\pi\) | ||||
−0.998302 | + | 0.0582589i | \(0.981445\pi\) | |||||||
\(42\) | −0.196391 | + | 0.190839i | −0.0303037 | + | 0.0294471i | ||||
\(43\) | 3.05894 | 0.466485 | 0.233242 | − | 0.972419i | \(-0.425066\pi\) | ||||
0.233242 | + | 0.972419i | \(0.425066\pi\) | |||||||
\(44\) | 0.311378 | − | 10.8577i | 0.0469420 | − | 1.63686i | ||||
\(45\) | − | 1.66897i | − | 0.248795i | ||||||
\(46\) | 7.71144 | + | 7.93576i | 1.13699 | + | 1.17006i | ||||
\(47\) | 2.28894i | 0.333876i | 0.985967 | + | 0.166938i | \(0.0533879\pi\) | ||||
−0.985967 | + | 0.166938i | \(0.946612\pi\) | |||||||
\(48\) | −3.99343 | − | 0.229235i | −0.576401 | − | 0.0330873i | ||||
\(49\) | −6.96251 | −0.994644 | ||||||||
\(50\) | −2.24607 | + | 2.18258i | −0.317642 | + | 0.308663i | ||||
\(51\) | −4.63759 | −0.649392 | ||||||||
\(52\) | 7.03319 | + | 0.201698i | 0.975328 | + | 0.0279704i | ||||
\(53\) | − | 6.58420i | − | 0.904409i | −0.891914 | − | 0.452204i | \(-0.850638\pi\) | ||
0.891914 | − | 0.452204i | \(-0.149362\pi\) | |||||||
\(54\) | −1.01423 | + | 0.985563i | −0.138019 | + | 0.134118i | ||||
\(55\) | − | 9.06432i | − | 1.22223i | ||||||
\(56\) | 0.370262 | + | 0.403561i | 0.0494784 | + | 0.0539281i | ||||
\(57\) | − | 1.14965i | − | 0.152274i | ||||||
\(58\) | 3.92789 | − | 3.81687i | 0.515758 | − | 0.501179i | ||||
\(59\) | − | 1.92869i | − | 0.251094i | −0.992088 | − | 0.125547i | \(-0.959931\pi\) | ||
0.992088 | − | 0.125547i | \(-0.0400687\pi\) | |||||||
\(60\) | −3.33656 | − | 0.0956859i | −0.430748 | − | 0.0123530i | ||||
\(61\) | − | 1.81536i | − | 0.232433i | −0.993224 | − | 0.116217i | \(-0.962923\pi\) | ||
0.993224 | − | 0.116217i | \(-0.0370766\pi\) | |||||||
\(62\) | −8.35299 | + | 8.11688i | −1.06083 | + | 1.03084i | ||||
\(63\) | 0.193635 | 0.0243957 | ||||||||
\(64\) | −0.687235 | + | 7.97043i | −0.0859044 | + | 0.996303i | ||||
\(65\) | 5.87149 | 0.728269 | ||||||||
\(66\) | −5.50839 | + | 5.35268i | −0.678036 | + | 0.658870i | ||||
\(67\) | 0.790407 | + | 8.14710i | 0.0965635 | + | 0.995327i | ||||
\(68\) | −0.265884 | + | 9.27136i | −0.0322432 | + | 1.12432i | ||||
\(69\) | − | 7.82441i | − | 0.941948i | ||||||
\(70\) | 0.318504 | + | 0.327769i | 0.0380686 | + | 0.0391759i | ||||
\(71\) | − | 15.3336i | − | 1.81977i | −0.414866 | − | 0.909883i | \(-0.636172\pi\) | ||
0.414866 | − | 0.909883i | \(-0.363828\pi\) | |||||||
\(72\) | 1.91217 | + | 2.08413i | 0.225351 | + | 0.245618i | ||||
\(73\) | 5.05518 | 0.591664 | 0.295832 | − | 0.955240i | \(-0.404403\pi\) | ||||
0.295832 | + | 0.955240i | \(0.404403\pi\) | |||||||
\(74\) | −11.2095 | + | 10.8926i | −1.30308 | + | 1.26624i | ||||
\(75\) | 2.21455 | 0.255714 | ||||||||
\(76\) | −2.29835 | − | 0.0659120i | −0.263639 | − | 0.00756063i | ||||
\(77\) | 1.05165 | 0.119847 | ||||||||
\(78\) | −3.46725 | − | 3.56811i | −0.392589 | − | 0.404009i | ||||
\(79\) | −8.43664 | −0.949196 | −0.474598 | − | 0.880203i | \(-0.657407\pi\) | ||||
−0.474598 | + | 0.880203i | \(0.657407\pi\) | |||||||
\(80\) | −0.382586 | + | 6.66490i | −0.0427744 | + | 0.745158i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −0.735307 | − | 0.756696i | −0.0812011 | − | 0.0835631i | ||||
\(83\) | 8.12919i | 0.892295i | 0.894960 | + | 0.446147i | \(0.147204\pi\) | ||||
−0.894960 | + | 0.446147i | \(0.852796\pi\) | |||||||
\(84\) | 0.0111015 | − | 0.387110i | 0.00121128 | − | 0.0422372i | ||||
\(85\) | 7.73998i | 0.839519i | ||||||||
\(86\) | −3.10248 | + | 3.01478i | −0.334549 | + | 0.325092i | ||||
\(87\) | −3.87278 | −0.415205 | ||||||||
\(88\) | 10.3852 | + | 11.3191i | 1.10706 | + | 1.20662i | ||||
\(89\) | 4.29990 | 0.455789 | 0.227894 | − | 0.973686i | \(-0.426816\pi\) | ||||
0.227894 | + | 0.973686i | \(0.426816\pi\) | |||||||
\(90\) | 1.64487 | + | 1.69272i | 0.173385 | + | 0.178428i | ||||
\(91\) | 0.681215i | 0.0714108i | ||||||||
\(92\) | −15.6424 | − | 0.448592i | −1.63083 | − | 0.0467689i | ||||
\(93\) | 8.23578 | 0.854011 | ||||||||
\(94\) | −2.25589 | − | 2.32151i | −0.232677 | − | 0.239446i | ||||
\(95\) | −1.91872 | −0.196857 | ||||||||
\(96\) | 4.27619 | − | 3.70327i | 0.436436 | − | 0.377964i | ||||
\(97\) | 8.73711i | 0.887120i | 0.896245 | + | 0.443560i | \(0.146285\pi\) | ||||
−0.896245 | + | 0.443560i | \(0.853715\pi\) | |||||||
\(98\) | 7.06159 | − | 6.86199i | 0.713329 | − | 0.693165i | ||||
\(99\) | 5.43109 | 0.545846 | ||||||||
\(100\) | 0.126965 | − | 4.42728i | 0.0126965 | − | 0.442728i | ||||
\(101\) | − | 8.56779i | − | 0.852527i | −0.904599 | − | 0.426263i | \(-0.859830\pi\) | ||
0.904599 | − | 0.426263i | \(-0.140170\pi\) | |||||||
\(102\) | 4.70359 | − | 4.57063i | 0.465725 | − | 0.452560i | ||||
\(103\) | 0.478168i | 0.0471153i | 0.999722 | + | 0.0235576i | \(0.00749932\pi\) | ||||
−0.999722 | + | 0.0235576i | \(0.992501\pi\) | |||||||
\(104\) | −7.33207 | + | 6.72708i | −0.718969 | + | 0.659645i | ||||
\(105\) | − | 0.323170i | − | 0.0315382i | ||||||
\(106\) | 6.48914 | + | 6.67790i | 0.630281 | + | 0.648615i | ||||
\(107\) | 6.08812i | 0.588560i | 0.955719 | + | 0.294280i | \(0.0950799\pi\) | ||||
−0.955719 | + | 0.294280i | \(0.904920\pi\) | |||||||
\(108\) | 0.0573324 | − | 1.99918i | 0.00551681 | − | 0.192371i | ||||
\(109\) | 19.2147i | 1.84043i | 0.391412 | + | 0.920215i | \(0.371987\pi\) | ||||
−0.391412 | + | 0.920215i | \(0.628013\pi\) | |||||||
\(110\) | 8.93345 | + | 9.19332i | 0.851771 | + | 0.876549i | ||||
\(111\) | 11.0522 | 1.04903 | ||||||||
\(112\) | −0.773266 | − | 0.0443879i | −0.0730668 | − | 0.00419427i | ||||
\(113\) | 7.52704i | 0.708084i | 0.935229 | + | 0.354042i | \(0.115193\pi\) | ||||
−0.935229 | + | 0.354042i | \(0.884807\pi\) | |||||||
\(114\) | 1.13305 | + | 1.16601i | 0.106120 | + | 0.109207i | ||||
\(115\) | −13.0587 | −1.21773 | ||||||||
\(116\) | −0.222036 | + | 7.74237i | −0.0206155 | + | 0.718861i | ||||
\(117\) | 3.51804i | 0.325243i | ||||||||
\(118\) | 1.90085 | + | 1.95614i | 0.174987 | + | 0.180077i | ||||
\(119\) | −0.897998 | −0.0823194 | ||||||||
\(120\) | 3.47835 | − | 3.19134i | 0.317529 | − | 0.291328i | ||||
\(121\) | 18.4968 | 1.68153 | ||||||||
\(122\) | 1.78915 | + | 1.84120i | 0.161982 | + | 0.166694i | ||||
\(123\) | 0.746078i | 0.0672716i | ||||||||
\(124\) | 0.472177 | − | 16.4648i | 0.0424027 | − | 1.47858i | ||||
\(125\) | − | 12.0408i | − | 1.07697i | ||||||
\(126\) | −0.196391 | + | 0.190839i | −0.0174959 | + | 0.0170013i | ||||
\(127\) | − | 15.4036i | − | 1.36685i | −0.730023 | − | 0.683423i | \(-0.760491\pi\) | ||
0.730023 | − | 0.683423i | \(-0.239509\pi\) | |||||||
\(128\) | −7.15834 | − | 8.76117i | −0.632714 | − | 0.774386i | ||||
\(129\) | 3.05894 | 0.269325 | ||||||||
\(130\) | −5.95506 | + | 5.78673i | −0.522293 | + | 0.507529i | ||||
\(131\) | − | 11.6507i | − | 1.01793i | −0.860788 | − | 0.508964i | \(-0.830028\pi\) | ||
0.860788 | − | 0.508964i | \(-0.169972\pi\) | |||||||
\(132\) | 0.311378 | − | 10.8577i | 0.0271019 | − | 0.945044i | ||||
\(133\) | − | 0.222612i | − | 0.0193029i | ||||||
\(134\) | −8.83113 | − | 7.48405i | −0.762894 | − | 0.646524i | ||||
\(135\) | − | 1.66897i | − | 0.143642i | ||||||
\(136\) | −8.86784 | − | 9.66536i | −0.760411 | − | 0.828797i | ||||
\(137\) | 18.6423i | 1.59272i | 0.604826 | + | 0.796358i | \(0.293243\pi\) | ||||
−0.604826 | + | 0.796358i | \(0.706757\pi\) | |||||||
\(138\) | 7.71144 | + | 7.93576i | 0.656442 | + | 0.675537i | ||||
\(139\) | −19.0240 | −1.61359 | −0.806796 | − | 0.590831i | \(-0.798800\pi\) | ||||
−0.806796 | + | 0.590831i | \(0.798800\pi\) | |||||||
\(140\) | −0.646075 | − | 0.0185281i | −0.0546033 | − | 0.00156591i | ||||
\(141\) | 2.28894i | 0.192763i | ||||||||
\(142\) | 15.1122 | + | 15.5518i | 1.26819 | + | 1.30508i | ||||
\(143\) | 19.1068i | 1.59779i | ||||||||
\(144\) | −3.99343 | − | 0.229235i | −0.332785 | − | 0.0191029i | ||||
\(145\) | 6.46354i | 0.536768i | ||||||||
\(146\) | −5.12712 | + | 4.98220i | −0.424324 | + | 0.412329i | ||||
\(147\) | −6.96251 | −0.574258 | ||||||||
\(148\) | 0.633649 | − | 22.0953i | 0.0520856 | − | 1.81622i | ||||
\(149\) | −9.99677 | −0.818967 | −0.409484 | − | 0.912317i | \(-0.634291\pi\) | ||||
−0.409484 | + | 0.912317i | \(0.634291\pi\) | |||||||
\(150\) | −2.24607 | + | 2.18258i | −0.183391 | + | 0.178207i | ||||
\(151\) | − | 4.23887i | − | 0.344954i | −0.985014 | − | 0.172477i | \(-0.944823\pi\) | ||
0.985014 | − | 0.172477i | \(-0.0551771\pi\) | |||||||
\(152\) | 2.39602 | − | 2.19832i | 0.194343 | − | 0.178307i | ||||
\(153\) | −4.63759 | −0.374927 | ||||||||
\(154\) | −1.06662 | + | 1.03647i | −0.0859504 | + | 0.0835208i | ||||
\(155\) | − | 13.7452i | − | 1.10404i | ||||||
\(156\) | 7.03319 | + | 0.201698i | 0.563106 | + | 0.0161487i | ||||
\(157\) | −18.8209 | −1.50207 | −0.751037 | − | 0.660260i | \(-0.770446\pi\) | ||||
−0.751037 | + | 0.660260i | \(0.770446\pi\) | |||||||
\(158\) | 8.55671 | − | 8.31484i | 0.680735 | − | 0.661493i | ||||
\(159\) | − | 6.58420i | − | 0.522161i | ||||||
\(160\) | −6.18064 | − | 7.13681i | −0.488623 | − | 0.564215i | ||||
\(161\) | − | 1.51508i | − | 0.119405i | ||||||
\(162\) | −1.01423 | + | 0.985563i | −0.0796856 | + | 0.0774331i | ||||
\(163\) | − | 8.80860i | − | 0.689943i | −0.938613 | − | 0.344971i | \(-0.887889\pi\) | ||
0.938613 | − | 0.344971i | \(-0.112111\pi\) | |||||||
\(164\) | 1.49154 | + | 0.0427745i | 0.116470 | + | 0.00334012i | ||||
\(165\) | − | 9.06432i | − | 0.705656i | ||||||
\(166\) | −8.01183 | − | 8.24488i | −0.621838 | − | 0.639927i | ||||
\(167\) | 21.5220i | 1.66542i | 0.553707 | + | 0.832712i | \(0.313213\pi\) | ||||
−0.553707 | + | 0.832712i | \(0.686787\pi\) | |||||||
\(168\) | 0.370262 | + | 0.403561i | 0.0285663 | + | 0.0311354i | ||||
\(169\) | 0.623384 | 0.0479527 | ||||||||
\(170\) | −7.62824 | − | 7.85013i | −0.585059 | − | 0.602078i | ||||
\(171\) | − | 1.14965i | − | 0.0879157i | ||||||
\(172\) | 0.175377 | − | 6.11537i | 0.0133723 | − | 0.466293i | ||||
\(173\) | −10.5131 | −0.799297 | −0.399648 | − | 0.916668i | \(-0.630868\pi\) | ||||
−0.399648 | + | 0.916668i | \(0.630868\pi\) | |||||||
\(174\) | 3.92789 | − | 3.81687i | 0.297773 | − | 0.289356i | ||||
\(175\) | 0.428814 | 0.0324153 | ||||||||
\(176\) | −21.6887 | − | 1.24500i | −1.63485 | − | 0.0938453i | ||||
\(177\) | − | 1.92869i | − | 0.144969i | ||||||
\(178\) | −4.36110 | + | 4.23783i | −0.326878 | + | 0.317638i | ||||
\(179\) | 13.0002 | 0.971679 | 0.485839 | − | 0.874048i | \(-0.338514\pi\) | ||||
0.485839 | + | 0.874048i | \(0.338514\pi\) | |||||||
\(180\) | −3.33656 | − | 0.0956859i | −0.248693 | − | 0.00713200i | ||||
\(181\) | 18.7366 | 1.39268 | 0.696341 | − | 0.717711i | \(-0.254810\pi\) | ||||
0.696341 | + | 0.717711i | \(0.254810\pi\) | |||||||
\(182\) | −0.671380 | − | 0.690910i | −0.0497660 | − | 0.0512137i | ||||
\(183\) | − | 1.81536i | − | 0.134195i | ||||||
\(184\) | 16.3071 | − | 14.9616i | 1.20218 | − | 1.10298i | ||||
\(185\) | − | 18.4457i | − | 1.35616i | ||||||
\(186\) | −8.35299 | + | 8.11688i | −0.612471 | + | 0.595158i | ||||
\(187\) | −25.1872 | −1.84187 | ||||||||
\(188\) | 4.57599 | + | 0.131230i | 0.333739 | + | 0.00957095i | ||||
\(189\) | 0.193635 | 0.0140849 | ||||||||
\(190\) | 1.94603 | − | 1.89102i | 0.141180 | − | 0.137189i | ||||
\(191\) | −10.8552 | −0.785455 | −0.392727 | − | 0.919655i | \(-0.628468\pi\) | ||||
−0.392727 | + | 0.919655i | \(0.628468\pi\) | |||||||
\(192\) | −0.687235 | + | 7.97043i | −0.0495969 | + | 0.575216i | ||||
\(193\) | −10.6188 | −0.764356 | −0.382178 | − | 0.924089i | \(-0.624826\pi\) | ||||
−0.382178 | + | 0.924089i | \(0.624826\pi\) | |||||||
\(194\) | −8.61097 | − | 8.86146i | −0.618232 | − | 0.636216i | ||||
\(195\) | 5.87149 | 0.420466 | ||||||||
\(196\) | −0.399177 | + | 13.9193i | −0.0285127 | + | 0.994235i | ||||
\(197\) | − | 4.94237i | − | 0.352129i | −0.984379 | − | 0.176065i | \(-0.943663\pi\) | ||
0.984379 | − | 0.176065i | \(-0.0563368\pi\) | |||||||
\(198\) | −5.50839 | + | 5.35268i | −0.391464 | + | 0.380399i | ||||
\(199\) | − | 14.8405i | − | 1.05202i | −0.850480 | − | 0.526008i | \(-0.823688\pi\) | ||
0.850480 | − | 0.526008i | \(-0.176312\pi\) | |||||||
\(200\) | 4.23459 | + | 4.61542i | 0.299431 | + | 0.326359i | ||||
\(201\) | 0.790407 | + | 8.14710i | 0.0557510 | + | 0.574652i | ||||
\(202\) | 8.44409 | + | 8.68972i | 0.594124 | + | 0.611407i | ||||
\(203\) | −0.749905 | −0.0526330 | ||||||||
\(204\) | −0.265884 | + | 9.27136i | −0.0186156 | + | 0.649125i | ||||
\(205\) | 1.24518 | 0.0869672 | ||||||||
\(206\) | −0.471264 | − | 0.484973i | −0.0328346 | − | 0.0337897i | ||||
\(207\) | − | 7.82441i | − | 0.543834i | ||||||
\(208\) | 0.806459 | − | 14.0490i | 0.0559179 | − | 0.974126i | ||||
\(209\) | − | 6.24384i | − | 0.431895i | ||||||
\(210\) | 0.318504 | + | 0.327769i | 0.0219789 | + | 0.0226182i | ||||
\(211\) | 18.5215i | 1.27507i | 0.770421 | + | 0.637535i | \(0.220046\pi\) | ||||
−0.770421 | + | 0.637535i | \(0.779954\pi\) | |||||||
\(212\) | −13.1630 | − | 0.377488i | −0.904037 | − | 0.0259260i | ||||
\(213\) | − | 15.3336i | − | 1.05064i | ||||||
\(214\) | −6.00022 | − | 6.17476i | −0.410167 | − | 0.422098i | ||||
\(215\) | − | 5.10528i | − | 0.348177i | ||||||
\(216\) | 1.91217 | + | 2.08413i | 0.130106 | + | 0.141807i | ||||
\(217\) | 1.59473 | 0.108258 | ||||||||
\(218\) | −18.9373 | − | 19.4881i | −1.28259 | − | 1.31990i | ||||
\(219\) | 5.05518 | 0.341597 | ||||||||
\(220\) | −18.1212 | − | 0.519679i | −1.22173 | − | 0.0350368i | ||||
\(221\) | − | 16.3152i | − | 1.09748i | ||||||
\(222\) | −11.2095 | + | 10.8926i | −0.752331 | + | 0.731065i | ||||
\(223\) | 22.7959i | 1.52653i | 0.646087 | + | 0.763264i | \(0.276404\pi\) | ||||
−0.646087 | + | 0.763264i | \(0.723596\pi\) | |||||||
\(224\) | 0.828018 | − | 0.717083i | 0.0553243 | − | 0.0479121i | ||||
\(225\) | 2.21455 | 0.147637 | ||||||||
\(226\) | −7.41837 | − | 7.63416i | −0.493463 | − | 0.507817i | ||||
\(227\) | − | 3.82420i | − | 0.253821i | −0.991914 | − | 0.126911i | \(-0.959494\pi\) | ||
0.991914 | − | 0.126911i | \(-0.0405061\pi\) | |||||||
\(228\) | −2.29835 | − | 0.0659120i | −0.152212 | − | 0.00436513i | ||||
\(229\) | 1.55395i | 0.102688i | 0.998681 | + | 0.0513438i | \(0.0163504\pi\) | ||||
−0.998681 | + | 0.0513438i | \(0.983650\pi\) | |||||||
\(230\) | 13.2445 | − | 12.8701i | 0.873318 | − | 0.848632i | ||||
\(231\) | 1.05165 | 0.0691934 | ||||||||
\(232\) | −7.40540 | − | 8.07139i | −0.486188 | − | 0.529913i | ||||
\(233\) | 21.8298i | 1.43012i | 0.699063 | + | 0.715060i | \(0.253601\pi\) | ||||
−0.699063 | + | 0.715060i | \(0.746399\pi\) | |||||||
\(234\) | −3.46725 | − | 3.56811i | −0.226661 | − | 0.233255i | ||||
\(235\) | 3.82016 | 0.249200 | ||||||||
\(236\) | −3.85580 | − | 0.110577i | −0.250991 | − | 0.00719792i | ||||
\(237\) | −8.43664 | −0.548019 | ||||||||
\(238\) | 0.910779 | − | 0.885034i | 0.0590370 | − | 0.0573682i | ||||
\(239\) | 8.15401 | 0.527439 | 0.263720 | − | 0.964599i | \(-0.415051\pi\) | ||||
0.263720 | + | 0.964599i | \(0.415051\pi\) | |||||||
\(240\) | −0.382586 | + | 6.66490i | −0.0246958 | + | 0.430217i | ||||
\(241\) | −10.2682 | −0.661435 | −0.330717 | − | 0.943730i | \(-0.607291\pi\) | ||||
−0.330717 | + | 0.943730i | \(0.607291\pi\) | |||||||
\(242\) | −18.7600 | + | 18.2297i | −1.20594 | + | 1.17185i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −3.62923 | − | 0.104079i | −0.232337 | − | 0.00666297i | ||||
\(245\) | 11.6202i | 0.742387i | ||||||||
\(246\) | −0.735307 | − | 0.756696i | −0.0468815 | − | 0.0482452i | ||||
\(247\) | 4.04451 | 0.257346 | ||||||||
\(248\) | 15.7482 | + | 17.1645i | 1.00001 | + | 1.08995i | ||||
\(249\) | 8.12919i | 0.515167i | ||||||||
\(250\) | 11.8670 | + | 12.2122i | 0.750535 | + | 0.772368i | ||||
\(251\) | −4.98013 | −0.314343 | −0.157171 | − | 0.987571i | \(-0.550238\pi\) | ||||
−0.157171 | + | 0.987571i | \(0.550238\pi\) | |||||||
\(252\) | 0.0111015 | − | 0.387110i | 0.000699332 | − | 0.0243857i | ||||
\(253\) | − | 42.4951i | − | 2.67164i | ||||||
\(254\) | 15.1812 | + | 15.6228i | 0.952552 | + | 0.980261i | ||||
\(255\) | 7.73998i | 0.484696i | ||||||||
\(256\) | 15.8949 | + | 1.83087i | 0.993431 | + | 0.114429i | ||||
\(257\) | −11.1659 | −0.696512 | −0.348256 | − | 0.937399i | \(-0.613226\pi\) | ||||
−0.348256 | + | 0.937399i | \(0.613226\pi\) | |||||||
\(258\) | −3.10248 | + | 3.01478i | −0.193152 | + | 0.187692i | ||||
\(259\) | 2.14009 | 0.132979 | ||||||||
\(260\) | 0.336627 | − | 11.7382i | 0.0208767 | − | 0.727970i | ||||
\(261\) | −3.87278 | −0.239719 | ||||||||
\(262\) | 11.4825 | + | 11.8165i | 0.709393 | + | 0.730028i | ||||
\(263\) | 19.8833i | 1.22606i | 0.790061 | + | 0.613028i | \(0.210049\pi\) | ||||
−0.790061 | + | 0.613028i | \(0.789951\pi\) | |||||||
\(264\) | 10.3852 | + | 11.3191i | 0.639162 | + | 0.696644i | ||||
\(265\) | −10.9888 | −0.675037 | ||||||||
\(266\) | 0.219398 | + | 0.225780i | 0.0134521 | + | 0.0138435i | ||||
\(267\) | 4.29990 | 0.263150 | ||||||||
\(268\) | 16.3328 | − | 1.11307i | 0.997686 | − | 0.0679916i | ||||
\(269\) | −16.8187 | −1.02546 | −0.512728 | − | 0.858551i | \(-0.671365\pi\) | ||||
−0.512728 | + | 0.858551i | \(0.671365\pi\) | |||||||
\(270\) | 1.64487 | + | 1.69272i | 0.100104 | + | 0.103016i | ||||
\(271\) | −18.3784 | −1.11641 | −0.558203 | − | 0.829704i | \(-0.688509\pi\) | ||||
−0.558203 | + | 0.829704i | \(0.688509\pi\) | |||||||
\(272\) | 18.5199 | + | 1.06310i | 1.12293 | + | 0.0644598i | ||||
\(273\) | 0.681215i | 0.0412290i | ||||||||
\(274\) | −18.3731 | − | 18.9076i | −1.10996 | − | 1.14225i | ||||
\(275\) | 12.0274 | 0.725281 | ||||||||
\(276\) | −15.6424 | − | 0.448592i | −0.941561 | − | 0.0270021i | ||||
\(277\) | −18.1619 | −1.09124 | −0.545621 | − | 0.838032i | \(-0.683706\pi\) | ||||
−0.545621 | + | 0.838032i | \(0.683706\pi\) | |||||||
\(278\) | 19.2947 | − | 18.7493i | 1.15722 | − | 1.12451i | ||||
\(279\) | 8.23578 | 0.493063 | ||||||||
\(280\) | 0.673530 | − | 0.617955i | 0.0402511 | − | 0.0369299i | ||||
\(281\) | 13.8511i | 0.826286i | 0.910666 | + | 0.413143i | \(0.135569\pi\) | ||||
−0.910666 | + | 0.413143i | \(0.864431\pi\) | |||||||
\(282\) | −2.25589 | − | 2.32151i | −0.134336 | − | 0.138244i | ||||
\(283\) | − | 8.43751i | − | 0.501558i | −0.968044 | − | 0.250779i | \(-0.919313\pi\) | ||
0.968044 | − | 0.250779i | \(-0.0806867\pi\) | |||||||
\(284\) | −30.6546 | − | 0.879113i | −1.81902 | − | 0.0521657i | ||||
\(285\) | −1.91872 | −0.113655 | ||||||||
\(286\) | −18.8310 | − | 19.3787i | −1.11350 | − | 1.14589i | ||||
\(287\) | 0.144467i | 0.00852760i | ||||||||
\(288\) | 4.27619 | − | 3.70327i | 0.251977 | − | 0.218218i | ||||
\(289\) | 4.50722 | 0.265130 | ||||||||
\(290\) | −6.37022 | − | 6.55553i | −0.374072 | − | 0.384954i | ||||
\(291\) | 8.73711i | 0.512179i | ||||||||
\(292\) | 0.289826 | − | 10.1062i | 0.0169608 | − | 0.591421i | ||||
\(293\) | −13.6693 | −0.798572 | −0.399286 | − | 0.916826i | \(-0.630742\pi\) | ||||
−0.399286 | + | 0.916826i | \(0.630742\pi\) | |||||||
\(294\) | 7.06159 | − | 6.86199i | 0.411841 | − | 0.400199i | ||||
\(295\) | −3.21893 | −0.187413 | ||||||||
\(296\) | 21.1336 | + | 23.0343i | 1.22837 | + | 1.33884i | ||||
\(297\) | 5.43109 | 0.315144 | ||||||||
\(298\) | 10.1390 | − | 9.85244i | 0.587339 | − | 0.570737i | ||||
\(299\) | 27.5266 | 1.59190 | ||||||||
\(300\) | 0.126965 | − | 4.42728i | 0.00733035 | − | 0.255609i | ||||
\(301\) | 0.592318 | 0.0341407 | ||||||||
\(302\) | 4.17767 | + | 4.29920i | 0.240398 | + | 0.247391i | ||||
\(303\) | − | 8.56779i | − | 0.492207i | ||||||
\(304\) | −0.263540 | + | 4.59103i | −0.0151150 | + | 0.263314i | ||||
\(305\) | −3.02978 | −0.173484 | ||||||||
\(306\) | 4.70359 | − | 4.57063i | 0.268886 | − | 0.261286i | ||||
\(307\) | 1.60135i | 0.0913939i | 0.998955 | + | 0.0456970i | \(0.0145509\pi\) | ||||
−0.998955 | + | 0.0456970i | \(0.985449\pi\) | |||||||
\(308\) | 0.0602936 | − | 2.10243i | 0.00343554 | − | 0.119797i | ||||
\(309\) | 0.478168i | 0.0272020i | ||||||||
\(310\) | 13.5468 | + | 13.9409i | 0.769406 | + | 0.791788i | ||||
\(311\) | −28.5520 | −1.61903 | −0.809516 | − | 0.587097i | \(-0.800271\pi\) | ||||
−0.809516 | + | 0.587097i | \(0.800271\pi\) | |||||||
\(312\) | −7.33207 | + | 6.72708i | −0.415097 | + | 0.380846i | ||||
\(313\) | 26.3338i | 1.48847i | 0.667917 | + | 0.744236i | \(0.267186\pi\) | ||||
−0.667917 | + | 0.744236i | \(0.732814\pi\) | |||||||
\(314\) | 19.0888 | − | 18.5492i | 1.07724 | − | 1.04679i | ||||
\(315\) | − | 0.323170i | − | 0.0182086i | ||||||
\(316\) | −0.483693 | + | 16.8663i | −0.0272098 | + | 0.948806i | ||||
\(317\) | 13.2194 | 0.742476 | 0.371238 | − | 0.928538i | \(-0.378933\pi\) | ||||
0.371238 | + | 0.928538i | \(0.378933\pi\) | |||||||
\(318\) | 6.48914 | + | 6.67790i | 0.363893 | + | 0.374478i | ||||
\(319\) | −21.0334 | −1.17765 | ||||||||
\(320\) | 13.3024 | + | 1.14697i | 0.743626 | + | 0.0641177i | ||||
\(321\) | 6.08812i | 0.339805i | ||||||||
\(322\) | 1.49320 | + | 1.53664i | 0.0832130 | + | 0.0856336i | ||||
\(323\) | 5.33159i | 0.296657i | ||||||||
\(324\) | 0.0573324 | − | 1.99918i | 0.00318513 | − | 0.111065i | ||||
\(325\) | 7.79088i | 0.432160i | ||||||||
\(326\) | 8.68143 | + | 8.93396i | 0.480820 | + | 0.494807i | ||||
\(327\) | 19.2147i | 1.06257i | ||||||||
\(328\) | −1.55493 | + | 1.42663i | −0.0858565 | + | 0.0787723i | ||||
\(329\) | 0.443218i | 0.0244354i | ||||||||
\(330\) | 8.93345 | + | 9.19332i | 0.491770 | + | 0.506076i | ||||
\(331\) | 27.3525 | 1.50343 | 0.751715 | − | 0.659488i | \(-0.229227\pi\) | ||||
0.751715 | + | 0.659488i | \(0.229227\pi\) | |||||||
\(332\) | 16.2517 | + | 0.466066i | 0.891928 | + | 0.0255787i | ||||
\(333\) | 11.0522 | 0.605656 | ||||||||
\(334\) | −21.2113 | − | 21.8283i | −1.16063 | − | 1.19439i | ||||
\(335\) | 13.5972 | − | 1.31916i | 0.742897 | − | 0.0720735i | ||||
\(336\) | −0.773266 | − | 0.0443879i | −0.0421851 | − | 0.00242156i | ||||
\(337\) | − | 5.47892i | − | 0.298456i | −0.988803 | − | 0.149228i | \(-0.952321\pi\) | ||
0.988803 | − | 0.149228i | \(-0.0476788\pi\) | |||||||
\(338\) | −0.632256 | + | 0.614384i | −0.0343902 | + | 0.0334181i | ||||
\(339\) | 7.52704i | 0.408813i | ||||||||
\(340\) | 15.4736 | + | 0.443752i | 0.839174 | + | 0.0240658i | ||||
\(341\) | 44.7293 | 2.42223 | ||||||||
\(342\) | 1.13305 | + | 1.16601i | 0.0612683 | + | 0.0630505i | ||||
\(343\) | −2.70363 | −0.145982 | ||||||||
\(344\) | 5.84921 | + | 6.37525i | 0.315368 | + | 0.343731i | ||||
\(345\) | −13.0587 | −0.703055 | ||||||||
\(346\) | 10.6627 | − | 10.3613i | 0.573232 | − | 0.557028i | ||||
\(347\) | −23.1764 | −1.24417 | −0.622086 | − | 0.782949i | \(-0.713715\pi\) | ||||
−0.622086 | + | 0.782949i | \(0.713715\pi\) | |||||||
\(348\) | −0.222036 | + | 7.74237i | −0.0119024 | + | 0.415035i | ||||
\(349\) | −16.2968 | −0.872346 | −0.436173 | − | 0.899863i | \(-0.643666\pi\) | ||||
−0.436173 | + | 0.899863i | \(0.643666\pi\) | |||||||
\(350\) | −0.434917 | + | 0.422623i | −0.0232473 | + | 0.0225901i | ||||
\(351\) | 3.51804i | 0.187779i | ||||||||
\(352\) | 23.2244 | − | 20.1128i | 1.23786 | − | 1.07202i | ||||
\(353\) | − | 14.9502i | − | 0.795717i | −0.917447 | − | 0.397858i | \(-0.869754\pi\) | ||
0.917447 | − | 0.397858i | \(-0.130246\pi\) | |||||||
\(354\) | 1.90085 | + | 1.95614i | 0.101029 | + | 0.103968i | ||||
\(355\) | −25.5913 | −1.35824 | ||||||||
\(356\) | 0.246524 | − | 8.59628i | 0.0130657 | − | 0.455602i | ||||
\(357\) | −0.897998 | −0.0475271 | ||||||||
\(358\) | −13.1852 | + | 12.8125i | −0.696859 | + | 0.677161i | ||||
\(359\) | 8.04607i | 0.424655i | 0.977199 | + | 0.212328i | \(0.0681044\pi\) | ||||
−0.977199 | + | 0.212328i | \(0.931896\pi\) | |||||||
\(360\) | 3.47835 | − | 3.19134i | 0.183325 | − | 0.168199i | ||||
\(361\) | 17.6783 | 0.930437 | ||||||||
\(362\) | −19.0033 | + | 18.4661i | −0.998791 | + | 0.970558i | ||||
\(363\) | 18.4968 | 0.970830 | ||||||||
\(364\) | 1.36187 | + | 0.0390557i | 0.0713814 | + | 0.00204708i | ||||
\(365\) | − | 8.43693i | − | 0.441609i | ||||||
\(366\) | 1.78915 | + | 1.84120i | 0.0935204 | + | 0.0962408i | ||||
\(367\) | 16.4155 | 0.856881 | 0.428440 | − | 0.903570i | \(-0.359063\pi\) | ||||
0.428440 | + | 0.903570i | \(0.359063\pi\) | |||||||
\(368\) | −1.79363 | + | 31.2462i | −0.0934994 | + | 1.62882i | ||||
\(369\) | 0.746078i | 0.0388393i | ||||||||
\(370\) | 18.1794 | + | 18.7083i | 0.945104 | + | 0.972596i | ||||
\(371\) | − | 1.27493i | − | 0.0661910i | ||||||
\(372\) | 0.472177 | − | 16.4648i | 0.0244812 | − | 0.853660i | ||||
\(373\) | 13.3676i | 0.692149i | 0.938207 | + | 0.346075i | \(0.112486\pi\) | ||||
−0.938207 | + | 0.346075i | \(0.887514\pi\) | |||||||
\(374\) | 25.5456 | − | 24.8235i | 1.32093 | − | 1.28359i | ||||
\(375\) | − | 12.0408i | − | 0.621787i | ||||||
\(376\) | −4.77045 | + | 4.37683i | −0.246017 | + | 0.225718i | ||||
\(377\) | − | 13.6246i | − | 0.701702i | ||||||
\(378\) | −0.196391 | + | 0.190839i | −0.0101012 | + | 0.00981571i | ||||
\(379\) | −16.9599 | −0.871173 | −0.435586 | − | 0.900147i | \(-0.643459\pi\) | ||||
−0.435586 | + | 0.900147i | \(0.643459\pi\) | |||||||
\(380\) | −0.110005 | + | 3.83587i | −0.00564314 | + | 0.196776i | ||||
\(381\) | − | 15.4036i | − | 0.789149i | ||||||
\(382\) | 11.0097 | − | 10.6985i | 0.563305 | − | 0.547382i | ||||
\(383\) | −4.33588 | −0.221553 | −0.110777 | − | 0.993845i | \(-0.535334\pi\) | ||||
−0.110777 | + | 0.993845i | \(0.535334\pi\) | |||||||
\(384\) | −7.15834 | − | 8.76117i | −0.365298 | − | 0.447092i | ||||
\(385\) | − | 1.75517i | − | 0.0894516i | ||||||
\(386\) | 10.7699 | − | 10.4655i | 0.548173 | − | 0.532678i | ||||
\(387\) | 3.05894 | 0.155495 | ||||||||
\(388\) | 17.4670 | + | 0.500920i | 0.886755 | + | 0.0254303i | ||||
\(389\) | 23.6337 | 1.19828 | 0.599139 | − | 0.800645i | \(-0.295510\pi\) | ||||
0.599139 | + | 0.800645i | \(0.295510\pi\) | |||||||
\(390\) | −5.95506 | + | 5.78673i | −0.301546 | + | 0.293022i | ||||
\(391\) | 36.2864i | 1.83508i | ||||||||
\(392\) | −13.3135 | − | 14.5108i | −0.672432 | − | 0.732906i | ||||
\(393\) | − | 11.6507i | − | 0.587701i | ||||||
\(394\) | 4.87101 | + | 5.01271i | 0.245398 | + | 0.252537i | ||||
\(395\) | 14.0805i | 0.708466i | ||||||||
\(396\) | 0.311378 | − | 10.8577i | 0.0156473 | − | 0.545621i | ||||
\(397\) | −21.3575 | −1.07190 | −0.535951 | − | 0.844249i | \(-0.680047\pi\) | ||||
−0.535951 | + | 0.844249i | \(0.680047\pi\) | |||||||
\(398\) | 14.6262 | + | 15.0517i | 0.733147 | + | 0.754474i | ||||
\(399\) | − | 0.222612i | − | 0.0111445i | ||||||
\(400\) | −8.84364 | − | 0.507653i | −0.442182 | − | 0.0253827i | ||||
\(401\) | − | 8.66412i | − | 0.432666i | −0.976320 | − | 0.216333i | \(-0.930590\pi\) | ||
0.976320 | − | 0.216333i | \(-0.0694096\pi\) | |||||||
\(402\) | −8.83113 | − | 7.48405i | −0.440457 | − | 0.373271i | ||||
\(403\) | 28.9738i | 1.44329i | ||||||||
\(404\) | −17.1285 | − | 0.491212i | −0.852176 | − | 0.0244387i | ||||
\(405\) | − | 1.66897i | − | 0.0829316i | ||||||
\(406\) | 0.760577 | − | 0.739078i | 0.0377468 | − | 0.0366798i | ||||
\(407\) | 60.0255 | 2.97535 | ||||||||
\(408\) | −8.86784 | − | 9.66536i | −0.439024 | − | 0.478506i | ||||
\(409\) | − | 37.3394i | − | 1.84632i | −0.384421 | − | 0.923158i | \(-0.625599\pi\) | ||
0.384421 | − | 0.923158i | \(-0.374401\pi\) | |||||||
\(410\) | −1.26290 | + | 1.22720i | −0.0623703 | + | 0.0606072i | ||||
\(411\) | 18.6423i | 0.919555i | ||||||||
\(412\) | 0.955943 | + | 0.0274145i | 0.0470959 | + | 0.00135062i | ||||
\(413\) | − | 0.373462i | − | 0.0183769i | ||||||
\(414\) | 7.71144 | + | 7.93576i | 0.378997 | + | 0.390021i | ||||
\(415\) | 13.5674 | 0.665995 | ||||||||
\(416\) | 13.0283 | + | 15.0438i | 0.638764 | + | 0.737583i | ||||
\(417\) | −19.0240 | −0.931607 | ||||||||
\(418\) | 6.15370 | + | 6.33270i | 0.300987 | + | 0.309743i | ||||
\(419\) | − | 6.12426i | − | 0.299190i | −0.988747 | − | 0.149595i | \(-0.952203\pi\) | ||
0.988747 | − | 0.149595i | \(-0.0477970\pi\) | |||||||
\(420\) | −0.646075 | − | 0.0185281i | −0.0315252 | − | 0.000904080i | ||||
\(421\) | −15.5965 | −0.760129 | −0.380064 | − | 0.924960i | \(-0.624098\pi\) | ||||
−0.380064 | + | 0.924960i | \(0.624098\pi\) | |||||||
\(422\) | −18.2541 | − | 18.7851i | −0.888594 | − | 0.914443i | ||||
\(423\) | 2.28894i | 0.111292i | ||||||||
\(424\) | 13.7224 | − | 12.5901i | 0.666416 | − | 0.611428i | ||||
\(425\) | −10.2702 | −0.498176 | ||||||||
\(426\) | 15.1122 | + | 15.5518i | 0.732190 | + | 0.753489i | ||||
\(427\) | − | 0.351517i | − | 0.0170111i | ||||||
\(428\) | 12.1712 | + | 0.349046i | 0.588318 | + | 0.0168718i | ||||
\(429\) | 19.1068i | 0.922486i | ||||||||
\(430\) | 5.03157 | + | 5.17793i | 0.242644 | + | 0.249702i | ||||
\(431\) | − | 32.2497i | − | 1.55341i | −0.629864 | − | 0.776706i | \(-0.716889\pi\) | ||
0.629864 | − | 0.776706i | \(-0.283111\pi\) | |||||||
\(432\) | −3.99343 | − | 0.229235i | −0.192134 | − | 0.0110291i | ||||
\(433\) | 36.4007i | 1.74931i | 0.484749 | + | 0.874653i | \(0.338911\pi\) | ||||
−0.484749 | + | 0.874653i | \(0.661089\pi\) | |||||||
\(434\) | −1.61743 | + | 1.57171i | −0.0776391 | + | 0.0754445i | ||||
\(435\) | 6.46354i | 0.309903i | ||||||||
\(436\) | 38.4135 | + | 1.10162i | 1.83967 | + | 0.0527582i | ||||
\(437\) | −8.99530 | −0.430304 | ||||||||
\(438\) | −5.12712 | + | 4.98220i | −0.244983 | + | 0.238059i | ||||
\(439\) | − | 8.81023i | − | 0.420489i | −0.977649 | − | 0.210245i | \(-0.932574\pi\) | ||
0.977649 | − | 0.210245i | \(-0.0674261\pi\) | |||||||
\(440\) | 18.8913 | − | 17.3325i | 0.900605 | − | 0.826294i | ||||
\(441\) | −6.96251 | −0.331548 | ||||||||
\(442\) | 16.0797 | + | 16.5474i | 0.764832 | + | 0.787080i | ||||
\(443\) | 34.3211 | 1.63064 | 0.815322 | − | 0.579008i | \(-0.196560\pi\) | ||||
0.815322 | + | 0.579008i | \(0.196560\pi\) | |||||||
\(444\) | 0.633649 | − | 22.0953i | 0.0300716 | − | 1.04860i | ||||
\(445\) | − | 7.17640i | − | 0.340194i | ||||||
\(446\) | −22.4668 | − | 23.1203i | −1.06383 | − | 1.09478i | ||||
\(447\) | −9.99677 | −0.472831 | ||||||||
\(448\) | −0.133073 | + | 1.54335i | −0.00628709 | + | 0.0729165i | ||||
\(449\) | −26.0864 | −1.23109 | −0.615546 | − | 0.788101i | \(-0.711064\pi\) | ||||
−0.615546 | + | 0.788101i | \(0.711064\pi\) | |||||||
\(450\) | −2.24607 | + | 2.18258i | −0.105881 | + | 0.102888i | ||||
\(451\) | 4.05202i | 0.190802i | ||||||||
\(452\) | 15.0479 | + | 0.431543i | 0.707793 | + | 0.0202981i | ||||
\(453\) | − | 4.23887i | − | 0.199159i | ||||||
\(454\) | 3.76899 | + | 3.87863i | 0.176888 | + | 0.182033i | ||||
\(455\) | 1.13693 | 0.0532999 | ||||||||
\(456\) | 2.39602 | − | 2.19832i | 0.112204 | − | 0.102946i | ||||
\(457\) | 4.25149 | 0.198876 | 0.0994382 | − | 0.995044i | \(-0.468295\pi\) | ||||
0.0994382 | + | 0.995044i | \(0.468295\pi\) | |||||||
\(458\) | −1.53151 | − | 1.57606i | −0.0715629 | − | 0.0736446i | ||||
\(459\) | −4.63759 | −0.216464 | ||||||||
\(460\) | −0.748685 | + | 26.1066i | −0.0349076 | + | 1.21723i | ||||
\(461\) | 5.41529 | 0.252215 | 0.126108 | − | 0.992017i | \(-0.459752\pi\) | ||||
0.126108 | + | 0.992017i | \(0.459752\pi\) | |||||||
\(462\) | −1.06662 | + | 1.03647i | −0.0496235 | + | 0.0482208i | ||||
\(463\) | 22.2529 | 1.03418 | 0.517091 | − | 0.855930i | \(-0.327015\pi\) | ||||
0.517091 | + | 0.855930i | \(0.327015\pi\) | |||||||
\(464\) | 15.4657 | + | 0.887778i | 0.717975 | + | 0.0412140i | ||||
\(465\) | − | 13.7452i | − | 0.637420i | ||||||
\(466\) | −21.5147 | − | 22.1405i | −0.996647 | − | 1.02564i | ||||
\(467\) | − | 5.21056i | − | 0.241116i | −0.992706 | − | 0.120558i | \(-0.961532\pi\) | ||
0.992706 | − | 0.120558i | \(-0.0384683\pi\) | |||||||
\(468\) | 7.03319 | + | 0.201698i | 0.325109 | + | 0.00932348i | ||||
\(469\) | 0.153050 | + | 1.57756i | 0.00706720 | + | 0.0728451i | ||||
\(470\) | −3.87453 | + | 3.76501i | −0.178719 | + | 0.173667i | ||||
\(471\) | −18.8209 | −0.867223 | ||||||||
\(472\) | 4.01966 | − | 3.68798i | 0.185020 | − | 0.169753i | ||||
\(473\) | 16.6134 | 0.763886 | ||||||||
\(474\) | 8.55671 | − | 8.31484i | 0.393023 | − | 0.381913i | ||||
\(475\) | − | 2.54595i | − | 0.116816i | ||||||
\(476\) | −0.0514844 | + | 1.79526i | −0.00235978 | + | 0.0822855i | ||||
\(477\) | − | 6.58420i | − | 0.301470i | ||||||
\(478\) | −8.27006 | + | 8.03629i | −0.378264 | + | 0.367571i | ||||
\(479\) | 11.0487i | 0.504827i | 0.967619 | + | 0.252414i | \(0.0812244\pi\) | ||||
−0.967619 | + | 0.252414i | \(0.918776\pi\) | |||||||
\(480\) | −6.18064 | − | 7.13681i | −0.282106 | − | 0.325749i | ||||
\(481\) | 38.8821i | 1.77287i | ||||||||
\(482\) | 10.4144 | − | 10.1200i | 0.474361 | − | 0.460953i | ||||
\(483\) | − | 1.51508i | − | 0.0689384i | ||||||
\(484\) | 1.06047 | − | 36.9784i | 0.0482030 | − | 1.68084i | ||||
\(485\) | 14.5820 | 0.662132 | ||||||||
\(486\) | −1.01423 | + | 0.985563i | −0.0460065 | + | 0.0447060i | ||||
\(487\) | 21.7384 | 0.985061 | 0.492530 | − | 0.870295i | \(-0.336072\pi\) | ||||
0.492530 | + | 0.870295i | \(0.336072\pi\) | |||||||
\(488\) | 3.78345 | − | 3.47127i | 0.171269 | − | 0.157137i | ||||
\(489\) | − | 8.80860i | − | 0.398339i | ||||||
\(490\) | −11.4524 | − | 11.7856i | −0.517368 | − | 0.532418i | ||||
\(491\) | 16.5554i | 0.747137i | 0.927603 | + | 0.373568i | \(0.121866\pi\) | ||||
−0.927603 | + | 0.373568i | \(0.878134\pi\) | |||||||
\(492\) | 1.49154 | + | 0.0427745i | 0.0672440 | + | 0.00192842i | ||||
\(493\) | 17.9603 | 0.808893 | ||||||||
\(494\) | −4.10207 | + | 3.98611i | −0.184561 | + | 0.179344i | ||||
\(495\) | − | 9.06432i | − | 0.407411i | ||||||
\(496\) | −32.8890 | − | 1.88793i | −1.47676 | − | 0.0847706i | ||||
\(497\) | − | 2.96912i | − | 0.133183i | ||||||
\(498\) | −8.01183 | − | 8.24488i | −0.359019 | − | 0.369462i | ||||
\(499\) | −10.2542 | −0.459043 | −0.229521 | − | 0.973304i | \(-0.573716\pi\) | ||||
−0.229521 | + | 0.973304i | \(0.573716\pi\) | |||||||
\(500\) | −24.0718 | − | 0.690330i | −1.07652 | − | 0.0308725i | ||||
\(501\) | 21.5220i | 0.961533i | ||||||||
\(502\) | 5.05100 | − | 4.90823i | 0.225437 | − | 0.219065i | ||||
\(503\) | −1.27505 | −0.0568517 | −0.0284258 | − | 0.999596i | \(-0.509049\pi\) | ||||
−0.0284258 | + | 0.999596i | \(0.509049\pi\) | |||||||
\(504\) | 0.370262 | + | 0.403561i | 0.0164928 | + | 0.0179760i | ||||
\(505\) | −14.2994 | −0.636313 | ||||||||
\(506\) | 41.8816 | + | 43.0999i | 1.86186 | + | 1.91602i | ||||
\(507\) | 0.623384 | 0.0276855 | ||||||||
\(508\) | −30.7945 | − | 0.883124i | −1.36628 | − | 0.0391823i | ||||
\(509\) | 23.9599 | 1.06200 | 0.531001 | − | 0.847371i | \(-0.321816\pi\) | ||||
0.531001 | + | 0.847371i | \(0.321816\pi\) | |||||||
\(510\) | −7.62824 | − | 7.85013i | −0.337784 | − | 0.347610i | ||||
\(511\) | 0.978859 | 0.0433022 | ||||||||
\(512\) | −17.9256 | + | 13.8085i | −0.792205 | + | 0.610255i | ||||
\(513\) | − | 1.14965i | − | 0.0507581i | ||||||
\(514\) | 11.3249 | − | 11.0047i | 0.499518 | − | 0.485398i | ||||
\(515\) | 0.798047 | 0.0351661 | ||||||||
\(516\) | 0.175377 | − | 6.11537i | 0.00772053 | − | 0.269214i | ||||
\(517\) | 12.4314i | 0.546734i | ||||||||
\(518\) | −2.17055 | + | 2.10919i | −0.0953684 | + | 0.0926726i | ||||
\(519\) | −10.5131 | −0.461474 | ||||||||
\(520\) | 11.2273 | + | 12.2370i | 0.492349 | + | 0.536627i | ||||
\(521\) | 41.4884i | 1.81764i | 0.417188 | + | 0.908820i | \(0.363016\pi\) | ||||
−0.417188 | + | 0.908820i | \(0.636984\pi\) | |||||||
\(522\) | 3.92789 | − | 3.81687i | 0.171919 | − | 0.167060i | ||||
\(523\) | 22.5131i | 0.984431i | 0.870473 | + | 0.492216i | \(0.163813\pi\) | ||||
−0.870473 | + | 0.492216i | \(0.836187\pi\) | |||||||
\(524\) | −23.2919 | − | 0.667964i | −1.01751 | − | 0.0291801i | ||||
\(525\) | 0.428814 | 0.0187150 | ||||||||
\(526\) | −19.5962 | − | 20.1663i | −0.854436 | − | 0.879291i | ||||
\(527\) | −38.1941 | −1.66376 | ||||||||
\(528\) | −21.6887 | − | 1.24500i | −0.943878 | − | 0.0541816i | ||||
\(529\) | −38.2213 | −1.66180 | ||||||||
\(530\) | 11.1452 | − | 10.8302i | 0.484116 | − | 0.470432i | ||||
\(531\) | − | 1.92869i | − | 0.0836982i | ||||||
\(532\) | −0.445040 | − | 0.0127629i | −0.0192949 | − | 0.000553340i | ||||
\(533\) | −2.62473 | −0.113690 | ||||||||
\(534\) | −4.36110 | + | 4.23783i | −0.188723 | + | 0.183389i | ||||
\(535\) | 10.1609 | 0.439292 | ||||||||
\(536\) | −15.4683 | + | 17.2259i | −0.668127 | + | 0.744047i | ||||
\(537\) | 13.0002 | 0.560999 | ||||||||
\(538\) | 17.0581 | − | 16.5759i | 0.735427 | − | 0.714638i | ||||
\(539\) | −37.8140 | −1.62877 | ||||||||
\(540\) | −3.33656 | − | 0.0956859i | −0.143583 | − | 0.00411766i | ||||
\(541\) | − | 16.9263i | − | 0.727719i | −0.931454 | − | 0.363859i | \(-0.881459\pi\) | ||
0.931454 | − | 0.363859i | \(-0.118541\pi\) | |||||||
\(542\) | 18.6399 | − | 18.1130i | 0.800653 | − | 0.778021i | ||||
\(543\) | 18.7366 | 0.804066 | ||||||||
\(544\) | −19.8312 | + | 17.1743i | −0.850255 | + | 0.736340i | ||||
\(545\) | 32.0686 | 1.37367 | ||||||||
\(546\) | −0.671380 | − | 0.690910i | −0.0287324 | − | 0.0295682i | ||||
\(547\) | 27.2538 | 1.16529 | 0.582644 | − | 0.812728i | \(-0.302018\pi\) | ||||
0.582644 | + | 0.812728i | \(0.302018\pi\) | |||||||
\(548\) | 37.2692 | + | 1.06881i | 1.59206 | + | 0.0456571i | ||||
\(549\) | − | 1.81536i | − | 0.0774777i | ||||||
\(550\) | −12.1986 | + | 11.8538i | −0.520150 | + | 0.505447i | ||||
\(551\) | 4.45233i | 0.189675i | ||||||||
\(552\) | 16.3071 | − | 14.9616i | 0.694077 | − | 0.636807i | ||||
\(553\) | −1.63363 | −0.0694689 | ||||||||
\(554\) | 18.4204 | − | 17.8997i | 0.782607 | − | 0.760485i | ||||
\(555\) | − | 18.4457i | − | 0.782978i | ||||||
\(556\) | −1.09069 | + | 38.0323i | −0.0462555 | + | 1.61293i | ||||
\(557\) | 2.81166 | 0.119134 | 0.0595668 | − | 0.998224i | \(-0.481028\pi\) | ||||
0.0595668 | + | 0.998224i | \(0.481028\pi\) | |||||||
\(558\) | −8.35299 | + | 8.11688i | −0.353610 | + | 0.343615i | ||||
\(559\) | 10.7615i | 0.455163i | ||||||||
\(560\) | −0.0740820 | + | 1.29056i | −0.00313054 | + | 0.0545359i | ||||
\(561\) | −25.1872 | −1.06340 | ||||||||
\(562\) | −13.6511 | − | 14.0482i | −0.575837 | − | 0.592588i | ||||
\(563\) | 14.7836 | 0.623052 | 0.311526 | − | 0.950238i | \(-0.399160\pi\) | ||||
0.311526 | + | 0.950238i | \(0.399160\pi\) | |||||||
\(564\) | 4.57599 | + | 0.131230i | 0.192684 | + | 0.00552579i | ||||
\(565\) | 12.5624 | 0.528503 | ||||||||
\(566\) | 8.31569 | + | 8.55759i | 0.349535 | + | 0.359702i | ||||
\(567\) | 0.193635 | 0.00813190 | ||||||||
\(568\) | 31.9573 | − | 29.3204i | 1.34090 | − | 1.23026i | ||||
\(569\) | −32.6486 | −1.36870 | −0.684351 | − | 0.729153i | \(-0.739914\pi\) | ||||
−0.684351 | + | 0.729153i | \(0.739914\pi\) | |||||||
\(570\) | 1.94603 | − | 1.89102i | 0.0815102 | − | 0.0792062i | ||||
\(571\) | − | 35.3388i | − | 1.47888i | −0.673221 | − | 0.739442i | \(-0.735090\pi\) | ||
0.673221 | − | 0.739442i | \(-0.264910\pi\) | |||||||
\(572\) | 38.1979 | + | 1.09544i | 1.59714 | + | 0.0458026i | ||||
\(573\) | −10.8552 | −0.453482 | ||||||||
\(574\) | −0.142381 | − | 0.146523i | −0.00594287 | − | 0.00611574i | ||||
\(575\) | − | 17.3275i | − | 0.722608i | ||||||
\(576\) | −0.687235 | + | 7.97043i | −0.0286348 | + | 0.332101i | ||||
\(577\) | 38.5477i | 1.60476i | 0.596812 | + | 0.802381i | \(0.296434\pi\) | ||||
−0.596812 | + | 0.802381i | \(0.703566\pi\) | |||||||
\(578\) | −4.57136 | + | 4.44214i | −0.190144 | + | 0.184769i | ||||
\(579\) | −10.6188 | −0.441301 | ||||||||
\(580\) | 12.9218 | + | 0.370570i | 0.536547 | + | 0.0153871i | ||||
\(581\) | 1.57409i | 0.0653044i | ||||||||
\(582\) | −8.61097 | − | 8.86146i | −0.356936 | − | 0.367319i | ||||
\(583\) | − | 35.7594i | − | 1.48100i | ||||||
\(584\) | 9.66635 | + | 10.5357i | 0.399996 | + | 0.435969i | ||||
\(585\) | 5.87149 | 0.242756 | ||||||||
\(586\) | 13.8639 | − | 13.4720i | 0.572712 | − | 0.556523i | ||||
\(587\) | −17.0838 | −0.705122 | −0.352561 | − | 0.935789i | \(-0.614689\pi\) | ||||
−0.352561 | + | 0.935789i | \(0.614689\pi\) | |||||||
\(588\) | −0.399177 | + | 13.9193i | −0.0164618 | + | 0.574022i | ||||
\(589\) | − | 9.46824i | − | 0.390132i | ||||||
\(590\) | 3.26474 | − | 3.17245i | 0.134407 | − | 0.130608i | ||||
\(591\) | − | 4.94237i | − | 0.203302i | ||||||
\(592\) | −44.1361 | − | 2.53355i | −1.81398 | − | 0.104128i | ||||
\(593\) | 45.9539i | 1.88710i | 0.331231 | + | 0.943550i | \(0.392536\pi\) | ||||
−0.331231 | + | 0.943550i | \(0.607464\pi\) | |||||||
\(594\) | −5.50839 | + | 5.35268i | −0.226012 | + | 0.219623i | ||||
\(595\) | 1.49873i | 0.0614419i | ||||||||
\(596\) | −0.573139 | + | 19.9853i | −0.0234767 | + | 0.818631i | ||||
\(597\) | − | 14.8405i | − | 0.607381i | ||||||
\(598\) | −27.9183 | + | 27.1292i | −1.14167 | + | 1.10939i | ||||
\(599\) | −1.35735 | −0.0554600 | −0.0277300 | − | 0.999615i | \(-0.508828\pi\) | ||||
−0.0277300 | + | 0.999615i | \(0.508828\pi\) | |||||||
\(600\) | 4.23459 | + | 4.61542i | 0.172876 | + | 0.188424i | ||||
\(601\) | −4.42827 | −0.180633 | −0.0903165 | − | 0.995913i | \(-0.528788\pi\) | ||||
−0.0903165 | + | 0.995913i | \(0.528788\pi\) | |||||||
\(602\) | −0.600748 | + | 0.583767i | −0.0244847 | + | 0.0237926i | ||||
\(603\) | 0.790407 | + | 8.14710i | 0.0321878 | + | 0.331776i | ||||
\(604\) | −8.47426 | − | 0.243025i | −0.344813 | − | 0.00988853i | ||||
\(605\) | − | 30.8705i | − | 1.25507i | ||||||
\(606\) | 8.44409 | + | 8.68972i | 0.343018 | + | 0.352996i | ||||
\(607\) | 7.40400i | 0.300519i | 0.988647 | + | 0.150259i | \(0.0480109\pi\) | ||||
−0.988647 | + | 0.150259i | \(0.951989\pi\) | |||||||
\(608\) | −4.25746 | − | 4.91610i | −0.172663 | − | 0.199374i | ||||
\(609\) | −0.749905 | −0.0303877 | ||||||||
\(610\) | 3.07289 | − | 2.98603i | 0.124418 | − | 0.120901i | ||||
\(611\) | −8.05257 | −0.325772 | ||||||||
\(612\) | −0.265884 | + | 9.27136i | −0.0107477 | + | 0.374773i | ||||
\(613\) | 22.0294 | 0.889759 | 0.444879 | − | 0.895591i | \(-0.353247\pi\) | ||||
0.444879 | + | 0.895591i | \(0.353247\pi\) | |||||||
\(614\) | −1.57823 | − | 1.62414i | −0.0636923 | − | 0.0655450i | ||||
\(615\) | 1.24518 | 0.0502105 | ||||||||
\(616\) | 2.01093 | + | 2.19178i | 0.0810226 | + | 0.0883093i | ||||
\(617\) | −16.2048 | −0.652382 | −0.326191 | − | 0.945304i | \(-0.605765\pi\) | ||||
−0.326191 | + | 0.945304i | \(0.605765\pi\) | |||||||
\(618\) | −0.471264 | − | 0.484973i | −0.0189570 | − | 0.0195085i | ||||
\(619\) | − | 20.7311i | − | 0.833251i | −0.909078 | − | 0.416626i | \(-0.863213\pi\) | ||
0.909078 | − | 0.416626i | \(-0.136787\pi\) | |||||||
\(620\) | −27.4792 | − | 0.788048i | −1.10359 | − | 0.0316488i | ||||
\(621\) | − | 7.82441i | − | 0.313983i | ||||||
\(622\) | 28.9583 | − | 28.1397i | 1.16112 | − | 1.12830i | ||||
\(623\) | 0.832611 | 0.0333579 | ||||||||
\(624\) | 0.806459 | − | 14.0490i | 0.0322842 | − | 0.562412i | ||||
\(625\) | −9.02302 | −0.360921 | ||||||||
\(626\) | −25.9536 | − | 26.7085i | −1.03731 | − | 1.06749i | ||||
\(627\) | − | 6.24384i | − | 0.249355i | ||||||
\(628\) | −1.07905 | + | 37.6264i | −0.0430587 | + | 1.50146i | ||||
\(629\) | −51.2555 | −2.04369 | ||||||||
\(630\) | 0.318504 | + | 0.327769i | 0.0126895 | + | 0.0130586i | ||||
\(631\) | −25.1040 | −0.999373 | −0.499687 | − | 0.866206i | \(-0.666551\pi\) | ||||
−0.499687 | + | 0.866206i | \(0.666551\pi\) | |||||||
\(632\) | −16.1323 | − | 17.5831i | −0.641707 | − | 0.699418i | ||||
\(633\) | 18.5215i | 0.736163i | ||||||||
\(634\) | −13.4075 | + | 13.0286i | −0.532482 | + | 0.517430i | ||||
\(635\) | −25.7081 | −1.02019 | ||||||||
\(636\) | −13.1630 | − | 0.377488i | −0.521946 | − | 0.0149684i | ||||
\(637\) | − | 24.4944i | − | 0.970503i | ||||||
\(638\) | 21.3328 | − | 20.7298i | 0.844572 | − | 0.820699i | ||||
\(639\) | − | 15.3336i | − | 0.606588i | ||||||
\(640\) | −14.6221 | + | 11.9470i | −0.577990 | + | 0.472248i | ||||
\(641\) | 5.40357i | 0.213428i | 0.994290 | + | 0.106714i | \(0.0340329\pi\) | ||||
−0.994290 | + | 0.106714i | \(0.965967\pi\) | |||||||
\(642\) | −6.00022 | − | 6.17476i | −0.236810 | − | 0.243698i | ||||
\(643\) | − | 31.7727i | − | 1.25299i | −0.779425 | − | 0.626496i | \(-0.784488\pi\) | ||
0.779425 | − | 0.626496i | \(-0.215512\pi\) | |||||||
\(644\) | −3.02891 | − | 0.0868630i | −0.119356 | − | 0.00342288i | ||||
\(645\) | − | 5.10528i | − | 0.201020i | ||||||
\(646\) | −5.25461 | − | 5.40747i | −0.206740 | − | 0.212754i | ||||
\(647\) | −7.97388 | −0.313485 | −0.156743 | − | 0.987639i | \(-0.550099\pi\) | ||||
−0.156743 | + | 0.987639i | \(0.550099\pi\) | |||||||
\(648\) | 1.91217 | + | 2.08413i | 0.0751170 | + | 0.0818725i | ||||
\(649\) | − | 10.4749i | − | 0.411176i | ||||||
\(650\) | −7.67840 | − | 7.90175i | −0.301172 | − | 0.309932i | ||||
\(651\) | 1.59473 | 0.0625025 | ||||||||
\(652\) | −17.6100 | − | 0.505018i | −0.689659 | − | 0.0197780i | ||||
\(653\) | − | 6.30282i | − | 0.246648i | −0.992366 | − | 0.123324i | \(-0.960644\pi\) | ||
0.992366 | − | 0.123324i | \(-0.0393555\pi\) | |||||||
\(654\) | −18.9373 | − | 19.4881i | −0.740505 | − | 0.762046i | ||||
\(655\) | −19.4447 | −0.759766 | ||||||||
\(656\) | 0.171028 | − | 2.97941i | 0.00667750 | − | 0.116326i | ||||
\(657\) | 5.05518 | 0.197221 | ||||||||
\(658\) | −0.436819 | − | 0.449526i | −0.0170290 | − | 0.0175243i | ||||
\(659\) | − | 35.5318i | − | 1.38412i | −0.721839 | − | 0.692061i | \(-0.756703\pi\) | ||
0.721839 | − | 0.692061i | \(-0.243297\pi\) | |||||||
\(660\) | −18.1212 | − | 0.519679i | −0.705366 | − | 0.0202285i | ||||
\(661\) | − | 21.8745i | − | 0.850821i | −0.905001 | − | 0.425410i | \(-0.860130\pi\) | ||
0.905001 | − | 0.425410i | \(-0.139870\pi\) | |||||||
\(662\) | −27.7418 | + | 26.9576i | −1.07821 | + | 1.04774i | ||||
\(663\) | − | 16.3152i | − | 0.633631i | ||||||
\(664\) | −16.9423 | + | 15.5444i | −0.657490 | + | 0.603239i | ||||
\(665\) | −0.371532 | −0.0144074 | ||||||||
\(666\) | −11.2095 | + | 10.8926i | −0.434359 | + | 0.422081i | ||||
\(667\) | 30.3022i | 1.17331i | ||||||||
\(668\) | 43.0263 | + | 1.23391i | 1.66474 | + | 0.0477414i | ||||
\(669\) | 22.7959i | 0.881341i | ||||||||
\(670\) | −12.4906 | + | 14.7389i | −0.482555 | + | 0.569412i | ||||
\(671\) | − | 9.85939i | − | 0.380618i | ||||||
\(672\) | 0.828018 | − | 0.717083i | 0.0319415 | − | 0.0276621i | ||||
\(673\) | 8.87690i | 0.342179i | 0.985255 | + | 0.171090i | \(0.0547288\pi\) | ||||
−0.985255 | + | 0.171090i | \(0.945271\pi\) | |||||||
\(674\) | 5.39982 | + | 5.55690i | 0.207993 | + | 0.214044i | ||||
\(675\) | 2.21455 | 0.0852380 | ||||||||
\(676\) | 0.0357401 | − | 1.24626i | 0.00137462 | − | 0.0479329i | ||||
\(677\) | − | 36.5029i | − | 1.40292i | −0.712708 | − | 0.701461i | \(-0.752531\pi\) | ||
0.712708 | − | 0.701461i | \(-0.247469\pi\) | |||||||
\(678\) | −7.41837 | − | 7.63416i | −0.284901 | − | 0.293188i | ||||
\(679\) | 1.69181i | 0.0649257i | ||||||||
\(680\) | −16.1312 | + | 14.8001i | −0.618602 | + | 0.567559i | ||||
\(681\) | − | 3.82420i | − | 0.146544i | ||||||
\(682\) | −45.3659 | + | 44.0835i | −1.73715 | + | 1.68805i | ||||
\(683\) | −11.0191 | −0.421636 | −0.210818 | − | 0.977525i | \(-0.567613\pi\) | ||||
−0.210818 | + | 0.977525i | \(0.567613\pi\) | |||||||
\(684\) | −2.29835 | − | 0.0659120i | −0.0878796 | − | 0.00252021i | ||||
\(685\) | 31.1133 | 1.18878 | ||||||||
\(686\) | 2.74210 | − | 2.66459i | 0.104694 | − | 0.101735i | ||||
\(687\) | 1.55395i | 0.0592868i | ||||||||
\(688\) | −12.2157 | − | 0.701218i | −0.465718 | − | 0.0267337i | ||||
\(689\) | 23.1635 | 0.882458 | ||||||||
\(690\) | 13.2445 | − | 12.8701i | 0.504210 | − | 0.489958i | ||||
\(691\) | − | 11.1227i | − | 0.423128i | −0.977364 | − | 0.211564i | \(-0.932144\pi\) | ||
0.977364 | − | 0.211564i | \(-0.0678556\pi\) | |||||||
\(692\) | −0.602742 | + | 21.0176i | −0.0229128 | + | 0.798968i | ||||
\(693\) | 1.05165 | 0.0399488 | ||||||||
\(694\) | 23.5062 | − | 22.8417i | 0.892283 | − | 0.867061i | ||||
\(695\) | 31.7504i | 1.20436i | ||||||||
\(696\) | −7.40540 | − | 8.07139i | −0.280701 | − | 0.305945i | ||||
\(697\) | − | 3.46000i | − | 0.131057i | ||||||
\(698\) | 16.5287 | − | 16.0615i | 0.625620 | − | 0.607936i | ||||
\(699\) | 21.8298i | 0.825680i | ||||||||
\(700\) | 0.0245849 | − | 0.857275i | 0.000929223 | − | 0.0324020i | ||||
\(701\) | 9.43721i | 0.356438i | 0.983991 | + | 0.178219i | \(0.0570336\pi\) | ||||
−0.983991 | + | 0.178219i | \(0.942966\pi\) | |||||||
\(702\) | −3.46725 | − | 3.56811i | −0.130863 | − | 0.134670i | ||||
\(703\) | − | 12.7061i | − | 0.479220i | ||||||
\(704\) | −3.73244 | + | 43.2881i | −0.140672 | + | 1.63148i | ||||
\(705\) | 3.82016 | 0.143876 | ||||||||
\(706\) | 14.7343 | + | 15.1629i | 0.554533 | + | 0.570664i | ||||
\(707\) | − | 1.65902i | − | 0.0623940i | ||||||
\(708\) | −3.85580 | − | 0.110577i | −0.144910 | − | 0.00415572i | ||||
\(709\) | 14.4592 | 0.543026 | 0.271513 | − | 0.962435i | \(-0.412476\pi\) | ||||
0.271513 | + | 0.962435i | \(0.412476\pi\) | |||||||
\(710\) | 25.9555 | − | 25.2218i | 0.974093 | − | 0.946558i | ||||
\(711\) | −8.43664 | −0.316399 | ||||||||
\(712\) | 8.22214 | + | 8.96158i | 0.308138 | + | 0.335849i | ||||
\(713\) | − | 64.4401i | − | 2.41330i | ||||||
\(714\) | 0.910779 | − | 0.885034i | 0.0340850 | − | 0.0331216i | ||||
\(715\) | 31.8886 | 1.19257 | ||||||||
\(716\) | 0.745331 | − | 25.9897i | 0.0278543 | − | 0.971280i | ||||
\(717\) | 8.15401 | 0.304517 | ||||||||
\(718\) | −7.92990 | − | 8.16058i | −0.295941 | − | 0.304550i | ||||
\(719\) | 14.8761i | 0.554784i | 0.960757 | + | 0.277392i | \(0.0894700\pi\) | ||||
−0.960757 | + | 0.277392i | \(0.910530\pi\) | |||||||
\(720\) | −0.382586 | + | 6.66490i | −0.0142581 | + | 0.248386i | ||||
\(721\) | 0.0925900i | 0.00344823i | ||||||||
\(722\) | −17.9299 | + | 17.4231i | −0.667282 | + | 0.648420i | ||||
\(723\) | −10.2682 | −0.381880 | ||||||||
\(724\) | 1.07422 | − | 37.4579i | 0.0399229 | − | 1.39211i | ||||
\(725\) | −8.57646 | −0.318522 | ||||||||
\(726\) | −18.7600 | + | 18.2297i | −0.696250 | + | 0.676569i | ||||
\(727\) | 4.40717 | 0.163453 | 0.0817265 | − | 0.996655i | \(-0.473957\pi\) | ||||
0.0817265 | + | 0.996655i | \(0.473957\pi\) | |||||||
\(728\) | −1.41974 | + | 1.30260i | −0.0526192 | + | 0.0482775i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 8.31512 | + | 8.55700i | 0.307756 | + | 0.316709i | ||||
\(731\) | −14.1861 | −0.524693 | ||||||||
\(732\) | −3.62923 | − | 0.104079i | −0.134140 | − | 0.00384687i | ||||
\(733\) | − | 31.1417i | − | 1.15024i | −0.818068 | − | 0.575122i | \(-0.804955\pi\) | ||
0.818068 | − | 0.575122i | \(-0.195045\pi\) | |||||||
\(734\) | −16.6491 | + | 16.1785i | −0.614529 | + | 0.597158i | ||||
\(735\) | 11.6202i | 0.428617i | ||||||||
\(736\) | −28.9759 | − | 33.4586i | −1.06807 | − | 1.23330i | ||||
\(737\) | 4.29277 | + | 44.2477i | 0.158126 | + | 1.62988i | ||||
\(738\) | −0.735307 | − | 0.756696i | −0.0270670 | − | 0.0278544i | ||||
\(739\) | 26.8631 | 0.988174 | 0.494087 | − | 0.869412i | \(-0.335502\pi\) | ||||
0.494087 | + | 0.869412i | \(0.335502\pi\) | |||||||
\(740\) | −36.8763 | − | 1.05754i | −1.35560 | − | 0.0388759i | ||||
\(741\) | 4.04451 | 0.148579 | ||||||||
\(742\) | 1.25652 | + | 1.29307i | 0.0461284 | + | 0.0474702i | ||||
\(743\) | 16.3190i | 0.598685i | 0.954146 | + | 0.299343i | \(0.0967674\pi\) | ||||
−0.954146 | + | 0.299343i | \(0.903233\pi\) | |||||||
\(744\) | 15.7482 | + | 17.1645i | 0.577356 | + | 0.629280i | ||||
\(745\) | 16.6843i | 0.611265i | ||||||||
\(746\) | −13.1746 | − | 13.5579i | −0.482358 | − | 0.496389i | ||||
\(747\) | 8.12919i | 0.297432i | ||||||||
\(748\) | −1.44404 | + | 50.3536i | −0.0527994 | + | 1.84111i | ||||
\(749\) | 1.17887i | 0.0430750i | ||||||||
\(750\) | 11.8670 | + | 12.2122i | 0.433322 | + | 0.445927i | ||||
\(751\) | − | 4.70364i | − | 0.171638i | −0.996311 | − | 0.0858191i | \(-0.972649\pi\) | ||
0.996311 | − | 0.0858191i | \(-0.0273507\pi\) | |||||||
\(752\) | 0.524705 | − | 9.14070i | 0.0191340 | − | 0.333327i | ||||
\(753\) | −4.98013 | −0.181486 | ||||||||
\(754\) | 13.4279 | + | 13.8185i | 0.489015 | + | 0.503240i | ||||
\(755\) | −7.07453 | −0.257469 | ||||||||
\(756\) | 0.0111015 | − | 0.387110i | 0.000403759 | − | 0.0140791i | ||||
\(757\) | − | 14.9276i | − | 0.542551i | −0.962502 | − | 0.271276i | \(-0.912555\pi\) | ||
0.962502 | − | 0.271276i | \(-0.0874455\pi\) | |||||||
\(758\) | 17.2013 | − | 16.7151i | 0.624779 | − | 0.607119i | ||||
\(759\) | − | 42.4951i | − | 1.54247i | ||||||
\(760\) | −3.66892 | − | 3.99888i | −0.133086 | − | 0.145054i | ||||
\(761\) | 51.6472 | 1.87221 | 0.936106 | − | 0.351719i | \(-0.114403\pi\) | ||||
0.936106 | + | 0.351719i | \(0.114403\pi\) | |||||||
\(762\) | 15.1812 | + | 15.6228i | 0.549956 | + | 0.565954i | ||||
\(763\) | 3.72063i | 0.134696i | ||||||||
\(764\) | −0.622355 | + | 21.7015i | −0.0225160 | + | 0.785132i | ||||
\(765\) | 7.73998i | 0.279840i | ||||||||
\(766\) | 4.39759 | − | 4.27328i | 0.158891 | − | 0.154400i | ||||
\(767\) | 6.78522 | 0.245000 | ||||||||
\(768\) | 15.8949 | + | 1.83087i | 0.573558 | + | 0.0660658i | ||||
\(769\) | 5.35055i | 0.192946i | 0.995336 | + | 0.0964729i | \(0.0307561\pi\) | ||||
−0.995336 | + | 0.0964729i | \(0.969244\pi\) | |||||||
\(770\) | 1.72983 | + | 1.78015i | 0.0623387 | + | 0.0641520i | ||||
\(771\) | −11.1659 | −0.402132 | ||||||||
\(772\) | −0.608800 | + | 21.2288i | −0.0219112 | + | 0.764042i | ||||
\(773\) | 51.2338 | 1.84275 | 0.921376 | − | 0.388673i | \(-0.127066\pi\) | ||||
0.921376 | + | 0.388673i | \(0.127066\pi\) | |||||||
\(774\) | −3.10248 | + | 3.01478i | −0.111516 | + | 0.108364i | ||||
\(775\) | 18.2385 | 0.655148 | ||||||||
\(776\) | −18.2093 | + | 16.7068i | −0.653677 | + | 0.599740i | ||||
\(777\) | 2.14009 | 0.0767753 | ||||||||
\(778\) | −23.9701 | + | 23.2925i | −0.859369 | + | 0.835078i | ||||
\(779\) | 0.857727 | 0.0307312 | ||||||||
\(780\) | 0.336627 | − | 11.7382i | 0.0120532 | − | 0.420294i | ||||
\(781\) | − | 83.2783i | − | 2.97993i | ||||||
\(782\) | −35.7625 | − | 36.8028i | −1.27886 | − | 1.31606i | ||||
\(783\) | −3.87278 | −0.138402 | ||||||||
\(784\) | 27.8043 | + | 1.59605i | 0.993009 | + | 0.0570019i | ||||
\(785\) | 31.4115i | 1.12112i | ||||||||
\(786\) | 11.4825 | + | 11.8165i | 0.409568 | + | 0.421482i | ||||
\(787\) | 3.42282 | 0.122010 | 0.0610051 | − | 0.998137i | \(-0.480569\pi\) | ||||
0.0610051 | + | 0.998137i | \(0.480569\pi\) | |||||||
\(788\) | −9.88067 | − | 0.283358i | −0.351984 | − | 0.0100942i | ||||
\(789\) | 19.8833i | 0.707864i | ||||||||
\(790\) | −13.8772 | − | 14.2809i | −0.493728 | − | 0.508090i | ||||
\(791\) | 1.45750i | 0.0518226i | ||||||||
\(792\) | 10.3852 | + | 11.3191i | 0.369021 | + | 0.402208i | ||||
\(793\) | 6.38651 | 0.226792 | ||||||||
\(794\) | 21.6615 | − | 21.0491i | 0.768736 | − | 0.747006i | ||||
\(795\) | −10.9888 | −0.389733 | ||||||||
\(796\) | −29.6688 | − | 0.850841i | −1.05158 | − | 0.0301573i | ||||
\(797\) | 18.8680 | 0.668340 | 0.334170 | − | 0.942513i | \(-0.391544\pi\) | ||||
0.334170 | + | 0.942513i | \(0.391544\pi\) | |||||||
\(798\) | 0.219398 | + | 0.225780i | 0.00776660 | + | 0.00799252i | ||||
\(799\) | − | 10.6151i | − | 0.375537i | ||||||
\(800\) | 9.46982 | − | 8.20108i | 0.334809 | − | 0.289952i | ||||
\(801\) | 4.29990 | 0.151930 | ||||||||
\(802\) | 8.53903 | + | 8.78743i | 0.301524 | + | 0.310295i | ||||
\(803\) | 27.4552 | 0.968871 | ||||||||
\(804\) | 16.3328 | − | 1.11307i | 0.576014 | − | 0.0392550i | ||||
\(805\) | −2.52861 | −0.0891219 | ||||||||
\(806\) | −28.5555 | − | 29.3862i | −1.00582 | − | 1.03508i | ||||
\(807\) | −16.8187 | −0.592047 | ||||||||
\(808\) | 17.8564 | − | 16.3830i | 0.628187 | − | 0.576353i | ||||
\(809\) | 27.4027i | 0.963428i | 0.876329 | + | 0.481714i | \(0.159986\pi\) | ||||
−0.876329 | + | 0.481714i | \(0.840014\pi\) | |||||||
\(810\) | 1.64487 | + | 1.69272i | 0.0577949 | + | 0.0594761i | ||||
\(811\) | −26.3711 | −0.926015 | −0.463007 | − | 0.886354i | \(-0.653230\pi\) | ||||
−0.463007 | + | 0.886354i | \(0.653230\pi\) | |||||||
\(812\) | −0.0429938 | + | 1.49919i | −0.00150879 | + | 0.0526114i | ||||
\(813\) | −18.3784 | −0.644557 | ||||||||
\(814\) | −60.8798 | + | 59.1589i | −2.13384 | + | 2.07352i | ||||
\(815\) | −14.7013 | −0.514963 | ||||||||
\(816\) | 18.5199 | + | 1.06310i | 0.648325 | + | 0.0372159i | ||||
\(817\) | − | 3.51671i | − | 0.123034i | ||||||
\(818\) | 36.8004 | + | 37.8708i | 1.28669 | + | 1.32412i | ||||
\(819\) | 0.681215i | 0.0238036i | ||||||||
\(820\) | 0.0713892 | − | 2.48934i | 0.00249302 | − | 0.0869314i | ||||
\(821\) | 44.2827 | 1.54548 | 0.772739 | − | 0.634724i | \(-0.218886\pi\) | ||||
0.772739 | + | 0.634724i | \(0.218886\pi\) | |||||||
\(822\) | −18.3731 | − | 18.9076i | −0.640836 | − | 0.659477i | ||||
\(823\) | − | 27.8709i | − | 0.971520i | −0.874092 | − | 0.485760i | \(-0.838543\pi\) | ||
0.874092 | − | 0.485760i | \(-0.161457\pi\) | |||||||
\(824\) | −0.996566 | + | 0.914337i | −0.0347170 | + | 0.0318524i | ||||
\(825\) | 12.0274 | 0.418741 | ||||||||
\(826\) | 0.368070 | + | 0.378777i | 0.0128068 | + | 0.0131793i | ||||
\(827\) | − | 20.9172i | − | 0.727361i | −0.931524 | − | 0.363681i | \(-0.881520\pi\) | ||
0.931524 | − | 0.363681i | \(-0.118480\pi\) | |||||||
\(828\) | −15.6424 | − | 0.448592i | −0.543610 | − | 0.0155896i | ||||
\(829\) | 14.4386 | 0.501474 | 0.250737 | − | 0.968055i | \(-0.419327\pi\) | ||||
0.250737 | + | 0.968055i | \(0.419327\pi\) | |||||||
\(830\) | −13.7604 | + | 13.3715i | −0.477632 | + | 0.464131i | ||||
\(831\) | −18.1619 | −0.630029 | ||||||||
\(832\) | −28.0403 | − | 2.41772i | −0.972122 | − | 0.0838194i | ||||
\(833\) | 32.2892 | 1.11876 | ||||||||
\(834\) | 19.2947 | − | 18.7493i | 0.668121 | − | 0.649235i | ||||
\(835\) | 35.9195 | 1.24305 | ||||||||
\(836\) | −12.4825 | − | 0.357974i | −0.431718 | − | 0.0123808i | ||||
\(837\) | 8.23578 | 0.284670 | ||||||||
\(838\) | 6.03584 | + | 6.21142i | 0.208505 | + | 0.214570i | ||||
\(839\) | 25.7542i | 0.889134i | 0.895746 | + | 0.444567i | \(0.146643\pi\) | ||||
−0.895746 | + | 0.444567i | \(0.853357\pi\) | |||||||
\(840\) | 0.673530 | − | 0.617955i | 0.0232390 | − | 0.0213215i | ||||
\(841\) | −14.0016 | −0.482814 | ||||||||
\(842\) | 15.8185 | − | 15.3714i | 0.545142 | − | 0.529732i | ||||
\(843\) | 13.8511i | 0.477057i | ||||||||
\(844\) | 37.0277 | + | 1.06188i | 1.27455 | + | 0.0365514i | ||||
\(845\) | − | 1.04041i | − | 0.0357911i | ||||||
\(846\) | −2.25589 | − | 2.32151i | −0.0775591 | − | 0.0798152i | ||||
\(847\) | 3.58162 | 0.123066 | ||||||||
\(848\) | −1.50933 | + | 26.2935i | −0.0518306 | + | 0.902922i | ||||
\(849\) | − | 8.43751i | − | 0.289574i | ||||||
\(850\) | 10.4163 | − | 10.1219i | 0.357277 | − | 0.347178i | ||||
\(851\) | − | 86.4768i | − | 2.96439i | ||||||
\(852\) | −30.6546 | − | 0.879113i | −1.05021 | − | 0.0301179i | ||||
\(853\) | 17.5302 | 0.600222 | 0.300111 | − | 0.953904i | \(-0.402976\pi\) | ||||
0.300111 | + | 0.953904i | \(0.402976\pi\) | |||||||
\(854\) | 0.346442 | + | 0.356520i | 0.0118550 | + | 0.0121998i | ||||
\(855\) | −1.91872 | −0.0656189 | ||||||||
\(856\) | −12.6885 | + | 11.6415i | −0.433682 | + | 0.397898i | ||||
\(857\) | − | 25.6741i | − | 0.877012i | −0.898728 | − | 0.438506i | \(-0.855508\pi\) | ||
0.898728 | − | 0.438506i | \(-0.144492\pi\) | |||||||
\(858\) | −18.8310 | − | 19.3787i | −0.642879 | − | 0.661579i | ||||
\(859\) | 41.8210i | 1.42691i | 0.700699 | + | 0.713457i | \(0.252871\pi\) | ||||
−0.700699 | + | 0.713457i | \(0.747129\pi\) | |||||||
\(860\) | −10.2064 | − | 0.292698i | −0.348034 | − | 0.00998091i | ||||
\(861\) | 0.144467i | 0.00492341i | ||||||||
\(862\) | 31.7841 | + | 32.7086i | 1.08257 | + | 1.11406i | ||||
\(863\) | − | 3.38655i | − | 0.115279i | −0.998337 | − | 0.0576397i | \(-0.981643\pi\) | ||
0.998337 | − | 0.0576397i | \(-0.0183575\pi\) | |||||||
\(864\) | 4.27619 | − | 3.70327i | 0.145479 | − | 0.125988i | ||||
\(865\) | 17.5460i | 0.596583i | ||||||||
\(866\) | −35.8752 | − | 36.9188i | −1.21909 | − | 1.25455i | ||||
\(867\) | 4.50722 | 0.153073 | ||||||||
\(868\) | 0.0914299 | − | 3.18816i | 0.00310333 | − | 0.108213i | ||||
\(869\) | −45.8202 | −1.55434 | ||||||||
\(870\) | −6.37022 | − | 6.55553i | −0.215971 | − | 0.222253i | ||||
\(871\) | −28.6618 | + | 2.78068i | −0.971169 | + | 0.0942199i | ||||
\(872\) | −40.0459 | + | 36.7416i | −1.35613 | + | 1.24423i | ||||
\(873\) | 8.73711i | 0.295707i | ||||||||
\(874\) | 9.12332 | − | 8.86543i | 0.308601 | − | 0.299878i | ||||
\(875\) | − | 2.33153i | − | 0.0788200i | ||||||
\(876\) | 0.289826 | − | 10.1062i | 0.00979230 | − | 0.341457i | ||||
\(877\) | −21.4279 | −0.723569 | −0.361784 | − | 0.932262i | \(-0.617832\pi\) | ||||
−0.361784 | + | 0.932262i | \(0.617832\pi\) | |||||||
\(878\) | 8.68304 | + | 8.93562i | 0.293038 | + | 0.301562i | ||||
\(879\) | −13.6693 | −0.461056 | ||||||||
\(880\) | −2.07786 | + | 36.1977i | −0.0700447 | + | 1.22022i | ||||
\(881\) | −9.26940 | −0.312294 | −0.156147 | − | 0.987734i | \(-0.549907\pi\) | ||||
−0.156147 | + | 0.987734i | \(0.549907\pi\) | |||||||
\(882\) | 7.06159 | − | 6.86199i | 0.237776 | − | 0.231055i | ||||
\(883\) | −39.9914 | −1.34582 | −0.672908 | − | 0.739726i | \(-0.734955\pi\) | ||||
−0.672908 | + | 0.739726i | \(0.734955\pi\) | |||||||
\(884\) | −32.6170 | − | 0.935391i | −1.09703 | − | 0.0314606i | ||||
\(885\) | −3.21893 | −0.108203 | ||||||||
\(886\) | −34.8095 | + | 33.8256i | −1.16945 | + | 1.13639i | ||||
\(887\) | 42.8530i | 1.43886i | 0.694564 | + | 0.719431i | \(0.255597\pi\) | ||||
−0.694564 | + | 0.719431i | \(0.744403\pi\) | |||||||
\(888\) | 21.1336 | + | 23.0343i | 0.709198 | + | 0.772979i | ||||
\(889\) | − | 2.98267i | − | 0.100035i | ||||||
\(890\) | 7.07279 | + | 7.27853i | 0.237080 | + | 0.243977i | ||||
\(891\) | 5.43109 | 0.181949 | ||||||||
\(892\) | 45.5731 | + | 1.30694i | 1.52590 | + | 0.0437597i | ||||
\(893\) | 2.63147 | 0.0880588 | ||||||||
\(894\) | 10.1390 | − | 9.85244i | 0.339100 | − | 0.329515i | ||||
\(895\) | − | 21.6969i | − | 0.725246i | ||||||
\(896\) | −1.38610 | − | 1.69647i | −0.0463065 | − | 0.0566750i | ||||
\(897\) | 27.5266 | 0.919086 | ||||||||
\(898\) | 26.4576 | − | 25.7097i | 0.882902 | − | 0.857945i | ||||
\(899\) | −31.8953 | −1.06377 | ||||||||
\(900\) | 0.126965 | − | 4.42728i | 0.00423218 | − | 0.147576i | ||||
\(901\) | 30.5348i | 1.01726i | ||||||||
\(902\) | −3.99352 | − | 4.10969i | −0.132970 | − | 0.136838i | ||||
\(903\) | 0.592318 | 0.0197111 | ||||||||
\(904\) | −15.6874 | + | 14.3930i | −0.521754 | + | 0.478703i | ||||
\(905\) | − | 31.2708i | − | 1.03948i | ||||||
\(906\) | 4.17767 | + | 4.29920i | 0.138794 | + | 0.142831i | ||||
\(907\) | − | 15.0928i | − | 0.501149i | −0.968097 | − | 0.250575i | \(-0.919380\pi\) | ||
0.968097 | − | 0.250575i | \(-0.0806196\pi\) | |||||||
\(908\) | −7.64526 | − | 0.219251i | −0.253717 | − | 0.00727609i | ||||
\(909\) | − | 8.56779i | − | 0.284176i | ||||||
\(910\) | −1.15311 | + | 1.12051i | −0.0382251 | + | 0.0371446i | ||||
\(911\) | − | 58.3479i | − | 1.93315i | −0.256382 | − | 0.966575i | \(-0.582531\pi\) | ||
0.256382 | − | 0.966575i | \(-0.417469\pi\) | |||||||
\(912\) | −0.263540 | + | 4.59103i | −0.00872667 | + | 0.152024i | ||||
\(913\) | 44.1504i | 1.46117i | ||||||||
\(914\) | −4.31200 | + | 4.19011i | −0.142628 | + | 0.138597i | ||||
\(915\) | −3.02978 | −0.100161 | ||||||||
\(916\) | 3.10662 | + | 0.0890915i | 0.102645 | + | 0.00294367i | ||||
\(917\) | − | 2.25599i | − | 0.0744992i | ||||||
\(918\) | 4.70359 | − | 4.57063i | 0.155242 | − | 0.150853i | ||||
\(919\) | 36.0106 | 1.18788 | 0.593940 | − | 0.804509i | \(-0.297572\pi\) | ||||
0.593940 | + | 0.804509i | \(0.297572\pi\) | |||||||
\(920\) | −24.9704 | − | 27.2160i | −0.823249 | − | 0.897286i | ||||
\(921\) | 1.60135i | 0.0527663i | ||||||||
\(922\) | −5.49236 | + | 5.33711i | −0.180881 | + | 0.175768i | ||||
\(923\) | 53.9443 | 1.77560 | ||||||||
\(924\) | 0.0602936 | − | 2.10243i | 0.00198351 | − | 0.0691650i | ||||
\(925\) | 24.4756 | 0.804754 | ||||||||
\(926\) | −22.5696 | + | 21.9317i | −0.741685 | + | 0.720720i | ||||
\(927\) | 0.478168i | 0.0157051i | ||||||||
\(928\) | −16.5607 | + | 14.3420i | −0.543632 | + | 0.470798i | ||||
\(929\) | 38.8270i | 1.27387i | 0.770916 | + | 0.636937i | \(0.219799\pi\) | ||||
−0.770916 | + | 0.636937i | \(0.780201\pi\) | |||||||
\(930\) | 13.5468 | + | 13.9409i | 0.444217 | + | 0.457139i | ||||
\(931\) | 8.00442i | 0.262334i | ||||||||
\(932\) | 43.6417 | + | 1.25156i | 1.42953 | + | 0.0409961i | ||||
\(933\) | −28.5520 | −0.934749 | ||||||||
\(934\) | 5.13533 | + | 5.28471i | 0.168033 | + | 0.172921i | ||||
\(935\) | 42.0366i | 1.37474i | ||||||||
\(936\) | −7.33207 | + | 6.72708i | −0.239656 | + | 0.219882i | ||||
\(937\) | − | 54.8058i | − | 1.79043i | −0.445637 | − | 0.895214i | \(-0.647023\pi\) | ||
0.445637 | − | 0.895214i | \(-0.352977\pi\) | |||||||
\(938\) | −1.71002 | − | 1.44917i | −0.0558340 | − | 0.0473172i | ||||
\(939\) | 26.3338i | 0.859370i | ||||||||
\(940\) | 0.219019 | − | 7.63718i | 0.00714361 | − | 0.249097i | ||||
\(941\) | 44.7129i | 1.45760i | 0.684726 | + | 0.728800i | \(0.259922\pi\) | ||||
−0.684726 | + | 0.728800i | \(0.740078\pi\) | |||||||
\(942\) | 19.0888 | − | 18.5492i | 0.621946 | − | 0.604366i | ||||
\(943\) | 5.83762 | 0.190099 | ||||||||
\(944\) | −0.442125 | + | 7.70209i | −0.0143899 | + | 0.250682i | ||||
\(945\) | − | 0.323170i | − | 0.0105127i | ||||||
\(946\) | −16.8499 | + | 16.3736i | −0.547836 | + | 0.532350i | ||||
\(947\) | − | 26.6097i | − | 0.864701i | −0.901706 | − | 0.432350i | \(-0.857684\pi\) | ||
0.901706 | − | 0.432350i | \(-0.142316\pi\) | |||||||
\(948\) | −0.483693 | + | 16.8663i | −0.0157096 | + | 0.547793i | ||||
\(949\) | 17.7843i | 0.577304i | ||||||||
\(950\) | 2.50919 | + | 2.58218i | 0.0814090 | + | 0.0837771i | ||||
\(951\) | 13.2194 | 0.428669 | ||||||||
\(952\) | −1.71712 | − | 1.87155i | −0.0556523 | − | 0.0606573i | ||||
\(953\) | 10.6427 | 0.344752 | 0.172376 | − | 0.985031i | \(-0.444856\pi\) | ||||
0.172376 | + | 0.985031i | \(0.444856\pi\) | |||||||
\(954\) | 6.48914 | + | 6.67790i | 0.210094 | + | 0.216205i | ||||
\(955\) | 18.1170i | 0.586251i | ||||||||
\(956\) | 0.467489 | − | 16.3013i | 0.0151197 | − | 0.527222i | ||||
\(957\) | −21.0334 | −0.679914 | ||||||||
\(958\) | −10.8892 | − | 11.2059i | −0.351813 | − | 0.362047i | ||||
\(959\) | 3.60979i | 0.116566i | ||||||||
\(960\) | 13.3024 | + | 1.14697i | 0.429332 | + | 0.0370184i | ||||
\(961\) | 36.8281 | 1.18800 | ||||||||
\(962\) | −38.3207 | − | 39.4354i | −1.23551 | − | 1.27145i | ||||
\(963\) | 6.08812i | 0.196187i | ||||||||
\(964\) | −0.588702 | + | 20.5280i | −0.0189608 | + | 0.661163i | ||||
\(965\) | 17.7224i | 0.570504i | ||||||||
\(966\) | 1.49320 | + | 1.53664i | 0.0480430 | + | 0.0494406i | ||||
\(967\) | 29.1337i | 0.936878i | 0.883496 | + | 0.468439i | \(0.155183\pi\) | ||||
−0.883496 | + | 0.468439i | \(0.844817\pi\) | |||||||
\(968\) | 35.3689 | + | 38.5498i | 1.13680 | + | 1.23904i | ||||
\(969\) | 5.33159i | 0.171275i | ||||||||
\(970\) | −14.7895 | + | 14.3714i | −0.474862 | + | 0.461439i | ||||
\(971\) | − | 24.5207i | − | 0.786906i | −0.919345 | − | 0.393453i | \(-0.871280\pi\) | ||
0.919345 | − | 0.393453i | \(-0.128720\pi\) | |||||||
\(972\) | 0.0573324 | − | 1.99918i | 0.00183894 | − | 0.0641237i | ||||
\(973\) | −3.68370 | −0.118094 | ||||||||
\(974\) | −22.0478 | + | 21.4246i | −0.706456 | + | 0.686487i | ||||
\(975\) | 7.79088i | 0.249508i | ||||||||
\(976\) | −0.416145 | + | 7.24951i | −0.0133205 | + | 0.232051i | ||||
\(977\) | −0.0338946 | −0.00108438 | −0.000542192 | − | 1.00000i | \(-0.500173\pi\) | ||||
−0.000542192 | 1.00000i | \(0.500173\pi\) | ||||||||
\(978\) | 8.68143 | + | 8.93396i | 0.277601 | + | 0.285677i | ||||
\(979\) | 23.3532 | 0.746371 | ||||||||
\(980\) | 23.2308 | + | 0.666213i | 0.742082 | + | 0.0212814i | ||||
\(981\) | 19.2147i | 0.613477i | ||||||||
\(982\) | −16.3164 | − | 16.7911i | −0.520678 | − | 0.535824i | ||||
\(983\) | −28.1198 | −0.896882 | −0.448441 | − | 0.893812i | \(-0.648021\pi\) | ||||
−0.448441 | + | 0.893812i | \(0.648021\pi\) | |||||||
\(984\) | −1.55493 | + | 1.42663i | −0.0495693 | + | 0.0454792i | ||||
\(985\) | −8.24865 | −0.262824 | ||||||||
\(986\) | −18.2160 | + | 17.7010i | −0.580114 | + | 0.563716i | ||||
\(987\) | 0.443218i | 0.0141078i | ||||||||
\(988\) | 0.231881 | − | 8.08569i | 0.00737712 | − | 0.257240i | ||||
\(989\) | − | 23.9344i | − | 0.761070i | ||||||
\(990\) | 8.93345 | + | 9.19332i | 0.283924 | + | 0.292183i | ||||
\(991\) | −23.3928 | −0.743098 | −0.371549 | − | 0.928413i | \(-0.621173\pi\) | ||||
−0.371549 | + | 0.928413i | \(0.621173\pi\) | |||||||
\(992\) | 35.2177 | − | 30.4993i | 1.11816 | − | 0.968355i | ||||
\(993\) | 27.3525 | 0.868005 | ||||||||
\(994\) | 2.92626 | + | 3.01138i | 0.0928152 | + | 0.0955151i | ||||
\(995\) | −24.7683 | −0.785208 | ||||||||
\(996\) | 16.2517 | + | 0.466066i | 0.514955 | + | 0.0147679i | ||||
\(997\) | −16.7665 | −0.531000 | −0.265500 | − | 0.964111i | \(-0.585537\pi\) | ||||
−0.265500 | + | 0.964111i | \(0.585537\pi\) | |||||||
\(998\) | 10.4002 | − | 10.1062i | 0.329212 | − | 0.319906i | ||||
\(999\) | 11.0522 | 0.349676 |
(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 | 804.2.e.b.535.10 | yes | 34 | |
4.3 | odd | 2 | 804.2.e.a.535.26 | yes | 34 | ||
67.66 | odd | 2 | 804.2.e.a.535.25 | ✓ | 34 | ||
268.267 | even | 2 | inner | 804.2.e.b.535.9 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.e.a.535.25 | ✓ | 34 | 67.66 | odd | 2 | ||
804.2.e.a.535.26 | yes | 34 | 4.3 | odd | 2 | ||
804.2.e.b.535.9 | yes | 34 | 268.267 | even | 2 | inner | |
804.2.e.b.535.10 | yes | 34 | 1.1 | even | 1 | trivial |