Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(568,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.568");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.o (of order \(3\), degree \(2\), 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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.771147.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + 5x^{4} + 6x^{3} + 15x^{2} + 4x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 273) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 757.2 | ||
Root | \(1.32555 + 2.29591i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 819.757 |
Dual form | 819.2.o.d.568.2 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.636945 | − | 1.10322i | −0.450388 | − | 0.780095i | 0.548022 | − | 0.836464i | \(-0.315381\pi\) |
−0.998410 | + | 0.0563687i | \(0.982048\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.188601 | − | 0.326667i | 0.0943007 | − | 0.163334i | ||||
\(5\) | −1.10331 | −0.493416 | −0.246708 | − | 0.969090i | \(-0.579349\pi\) | ||||
−0.246708 | + | 0.969090i | \(0.579349\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.500000 | − | 0.866025i | 0.188982 | − | 0.327327i | ||||
\(8\) | −3.02830 | −1.07066 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.702750 | + | 1.21720i | 0.222229 | + | 0.384912i | ||||
\(11\) | −0.174453 | − | 0.302162i | −0.0525996 | − | 0.0911053i | 0.838527 | − | 0.544860i | \(-0.183417\pi\) |
−0.891126 | + | 0.453755i | \(0.850084\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.47664 | − | 0.955496i | −0.964246 | − | 0.265007i | ||||
\(14\) | −1.27389 | −0.340462 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.55166 | + | 2.68755i | 0.387914 | + | 0.671887i | ||||
\(17\) | 0.363055 | − | 0.628829i | 0.0880537 | − | 0.152513i | −0.818635 | − | 0.574315i | \(-0.805269\pi\) |
0.906688 | + | 0.421801i | \(0.138602\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.15109 | + | 1.99375i | −0.264079 | + | 0.457398i | −0.967322 | − | 0.253551i | \(-0.918401\pi\) |
0.703243 | + | 0.710950i | \(0.251735\pi\) | |||||||
\(20\) | −0.208086 | + | 0.360416i | −0.0465295 | + | 0.0805915i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.222234 | + | 0.384921i | −0.0473805 | + | 0.0820655i | ||||
\(23\) | 0.0375080 | + | 0.0649658i | 0.00782096 | + | 0.0135463i | 0.869909 | − | 0.493212i | \(-0.164177\pi\) |
−0.862088 | + | 0.506758i | \(0.830844\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.78270 | −0.756540 | ||||||||
\(26\) | 1.16031 | + | 4.44410i | 0.227555 | + | 0.871560i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.188601 | − | 0.326667i | −0.0356423 | − | 0.0617343i | ||||
\(29\) | 0.240258 | + | 0.416138i | 0.0446147 | + | 0.0772749i | 0.887470 | − | 0.460865i | \(-0.152461\pi\) |
−0.842856 | + | 0.538140i | \(0.819127\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.85772 | −1.23168 | −0.615841 | − | 0.787870i | \(-0.711184\pi\) | ||||
−0.615841 | + | 0.787870i | \(0.711184\pi\) | |||||||
\(32\) | −1.05166 | + | 1.82152i | −0.185908 | + | 0.322003i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.924984 | −0.158633 | ||||||||
\(35\) | −0.551656 | + | 0.955496i | −0.0932469 | + | 0.161508i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.551656 | + | 0.955496i | 0.0906917 | + | 0.157083i | 0.907802 | − | 0.419398i | \(-0.137759\pi\) |
−0.817111 | + | 0.576481i | \(0.804426\pi\) | |||||||
\(38\) | 2.93273 | 0.475752 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.34116 | 0.528283 | ||||||||
\(41\) | 1.54778 | + | 2.68084i | 0.241723 | + | 0.418676i | 0.961205 | − | 0.275835i | \(-0.0889542\pi\) |
−0.719482 | + | 0.694511i | \(0.755621\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.31140 | − | 4.00346i | 0.352485 | − | 0.610522i | −0.634199 | − | 0.773170i | \(-0.718670\pi\) |
0.986684 | + | 0.162648i | \(0.0520034\pi\) | |||||||
\(44\) | −0.131609 | −0.0198407 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.0477811 | − | 0.0827593i | 0.00704494 | − | 0.0122022i | ||||
\(47\) | −4.70769 | −0.686687 | −0.343343 | − | 0.939210i | \(-0.611559\pi\) | ||||
−0.343343 | + | 0.939210i | \(0.611559\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.500000 | − | 0.866025i | −0.0714286 | − | 0.123718i | ||||
\(50\) | 2.40937 | + | 4.17316i | 0.340737 | + | 0.590174i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.967829 | + | 0.955496i | −0.134214 | + | 0.132504i | ||||
\(53\) | −5.54778 | −0.762046 | −0.381023 | − | 0.924565i | \(-0.624428\pi\) | ||||
−0.381023 | + | 0.924565i | \(0.624428\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.192476 | + | 0.333379i | 0.0259535 | + | 0.0449528i | ||||
\(56\) | −1.51415 | + | 2.62258i | −0.202337 | + | 0.350457i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.306062 | − | 0.530115i | 0.0401879 | − | 0.0696075i | ||||
\(59\) | −1.96249 | + | 3.39914i | −0.255495 | + | 0.442530i | −0.965030 | − | 0.262140i | \(-0.915572\pi\) |
0.709535 | + | 0.704670i | \(0.248905\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.77389 | + | 4.80452i | −0.355160 | + | 0.615156i | −0.987145 | − | 0.159825i | \(-0.948907\pi\) |
0.631985 | + | 0.774981i | \(0.282240\pi\) | |||||||
\(62\) | 4.36799 | + | 7.56558i | 0.554735 | + | 0.960830i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.88601 | 1.11075 | ||||||||
\(65\) | 3.83582 | + | 1.05421i | 0.475775 | + | 0.130759i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.06193 | − | 7.03547i | −0.496244 | − | 0.859519i | 0.503747 | − | 0.863851i | \(-0.331954\pi\) |
−0.999991 | + | 0.00433206i | \(0.998621\pi\) | |||||||
\(68\) | −0.136945 | − | 0.237196i | −0.0166071 | − | 0.0287643i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.40550 | 0.167989 | ||||||||
\(71\) | −4.76468 | + | 8.25267i | −0.565463 | + | 0.979411i | 0.431543 | + | 0.902092i | \(0.357969\pi\) |
−0.997006 | + | 0.0773189i | \(0.975364\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −10.4338 | −1.22118 | −0.610592 | − | 0.791946i | \(-0.709068\pi\) | ||||
−0.610592 | + | 0.791946i | \(0.709068\pi\) | |||||||
\(74\) | 0.702750 | − | 1.21720i | 0.0816930 | − | 0.141496i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.434196 | + | 0.752049i | 0.0498057 | + | 0.0862659i | ||||
\(77\) | −0.348907 | −0.0397616 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 17.1054 | 1.92451 | 0.962256 | − | 0.272146i | \(-0.0877335\pi\) | ||||
0.962256 | + | 0.272146i | \(0.0877335\pi\) | |||||||
\(80\) | −1.71196 | − | 2.96520i | −0.191403 | − | 0.331520i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.97170 | − | 3.41509i | 0.217738 | − | 0.377134i | ||||
\(83\) | 11.9143 | 1.30777 | 0.653883 | − | 0.756596i | \(-0.273139\pi\) | ||||
0.653883 | + | 0.756596i | \(0.273139\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.400563 | + | 0.693795i | −0.0434471 | + | 0.0752526i | ||||
\(86\) | −5.88894 | −0.635020 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.528296 | + | 0.915036i | 0.0563166 | + | 0.0975432i | ||||
\(89\) | −5.98052 | − | 10.3586i | −0.633933 | − | 1.09800i | −0.986740 | − | 0.162309i | \(-0.948106\pi\) |
0.352807 | − | 0.935696i | \(-0.385227\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.56580 | + | 2.53311i | −0.268969 | + | 0.265542i | ||||
\(92\) | 0.0282963 | 0.00295009 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.99854 | + | 5.19362i | 0.309276 | + | 0.535681i | ||||
\(95\) | 1.27002 | − | 2.19973i | 0.130301 | − | 0.225688i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.05166 | + | 8.74973i | −0.512918 | + | 0.888400i | 0.486970 | + | 0.873419i | \(0.338102\pi\) |
−0.999888 | + | 0.0149812i | \(0.995231\pi\) | |||||||
\(98\) | −0.636945 | + | 1.10322i | −0.0643412 | + | 0.111442i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.713423 | + | 1.23568i | −0.0713423 | + | 0.123568i | ||||
\(101\) | 2.03751 | + | 3.52907i | 0.202740 | + | 0.351155i | 0.949410 | − | 0.314039i | \(-0.101682\pi\) |
−0.746671 | + | 0.665194i | \(0.768349\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.11106 | −0.405075 | −0.202538 | − | 0.979275i | \(-0.564919\pi\) | ||||
−0.202538 | + | 0.979275i | \(0.564919\pi\) | |||||||
\(104\) | 10.5283 | + | 2.89353i | 1.03238 | + | 0.283734i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.53363 | + | 6.12043i | 0.343217 | + | 0.594469i | ||||
\(107\) | −3.08529 | − | 5.34388i | −0.298266 | − | 0.516612i | 0.677473 | − | 0.735547i | \(-0.263075\pi\) |
−0.975739 | + | 0.218935i | \(0.929742\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.82167 | −0.844963 | −0.422481 | − | 0.906372i | \(-0.638841\pi\) | ||||
−0.422481 | + | 0.906372i | \(0.638841\pi\) | |||||||
\(110\) | 0.245194 | − | 0.424688i | 0.0233783 | − | 0.0404924i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 3.10331 | 0.293235 | ||||||||
\(113\) | 6.00494 | − | 10.4009i | 0.564897 | − | 0.978430i | −0.432162 | − | 0.901796i | \(-0.642249\pi\) |
0.997059 | − | 0.0766343i | \(-0.0244174\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.0413831 | − | 0.0716776i | −0.00385899 | − | 0.00668397i | ||||
\(116\) | 0.181252 | 0.0168288 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 5.00000 | 0.460287 | ||||||||
\(119\) | −0.363055 | − | 0.628829i | −0.0332812 | − | 0.0576447i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.43913 | − | 9.42085i | 0.494467 | − | 0.856441i | ||||
\(122\) | 7.06727 | 0.639840 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.29338 | + | 2.24019i | −0.116149 | + | 0.201175i | ||||
\(125\) | 9.69006 | 0.866706 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.92886 | + | 5.07293i | 0.259894 | + | 0.450150i | 0.966213 | − | 0.257744i | \(-0.0829790\pi\) |
−0.706319 | + | 0.707894i | \(0.749646\pi\) | |||||||
\(128\) | −3.55659 | − | 6.16020i | −0.314361 | − | 0.544490i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.28018 | − | 4.90323i | −0.112279 | − | 0.430042i | ||||
\(131\) | −22.4055 | −1.95758 | −0.978789 | − | 0.204872i | \(-0.934322\pi\) | ||||
−0.978789 | + | 0.204872i | \(0.934322\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.15109 | + | 1.99375i | 0.0998125 | + | 0.172880i | ||||
\(134\) | −5.17445 | + | 8.96242i | −0.447005 | + | 0.774235i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.09944 | + | 1.90428i | −0.0942760 | + | 0.163291i | ||||
\(137\) | 10.1044 | − | 17.5013i | 0.863275 | − | 1.49524i | −0.00547505 | − | 0.999985i | \(-0.501743\pi\) |
0.868750 | − | 0.495251i | \(-0.164924\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.13695 | + | 3.70130i | −0.181253 | + | 0.313940i | −0.942308 | − | 0.334748i | \(-0.891349\pi\) |
0.761054 | + | 0.648688i | \(0.224682\pi\) | |||||||
\(140\) | 0.208086 | + | 0.360416i | 0.0175865 | + | 0.0304607i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 12.1394 | 1.01871 | ||||||||
\(143\) | 0.317797 | + | 1.21720i | 0.0265755 | + | 0.101787i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.265079 | − | 0.459131i | −0.0220136 | − | 0.0381287i | ||||
\(146\) | 6.64576 | + | 11.5108i | 0.550007 | + | 0.952640i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.416173 | 0.0342092 | ||||||||
\(149\) | −2.44834 | + | 4.24066i | −0.200576 | + | 0.347408i | −0.948714 | − | 0.316135i | \(-0.897615\pi\) |
0.748138 | + | 0.663543i | \(0.230948\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.94553 | −0.727977 | −0.363988 | − | 0.931403i | \(-0.618585\pi\) | ||||
−0.363988 | + | 0.931403i | \(0.618585\pi\) | |||||||
\(152\) | 3.48585 | − | 6.03767i | 0.282740 | − | 0.489720i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.222234 | + | 0.384921i | 0.0179082 | + | 0.0310178i | ||||
\(155\) | 7.56620 | 0.607732 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.59450 | 0.526298 | 0.263149 | − | 0.964755i | \(-0.415239\pi\) | ||||
0.263149 | + | 0.964755i | \(0.415239\pi\) | |||||||
\(158\) | −10.8952 | − | 18.8711i | −0.866778 | − | 1.50130i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.16031 | − | 2.00971i | 0.0917302 | − | 0.158881i | ||||
\(161\) | 0.0750160 | 0.00591209 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.95222 | − | 8.57749i | 0.387888 | − | 0.671841i | −0.604277 | − | 0.796774i | \(-0.706538\pi\) |
0.992165 | + | 0.124933i | \(0.0398715\pi\) | |||||||
\(164\) | 1.16765 | 0.0911785 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −7.58876 | − | 13.1441i | −0.589002 | − | 1.02018i | ||||
\(167\) | −8.37826 | − | 14.5116i | −0.648330 | − | 1.12294i | −0.983522 | − | 0.180790i | \(-0.942135\pi\) |
0.335192 | − | 0.942150i | \(-0.391199\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.1741 | + | 6.64383i | 0.859543 | + | 0.511064i | ||||
\(170\) | 1.02055 | 0.0782723 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.871866 | − | 1.51012i | −0.0664792 | − | 0.115145i | ||||
\(173\) | 6.85918 | − | 11.8804i | 0.521494 | − | 0.903254i | −0.478194 | − | 0.878254i | \(-0.658708\pi\) |
0.999687 | − | 0.0249993i | \(-0.00795836\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.89135 | + | 3.27592i | −0.142973 | + | 0.247636i | ||||
\(176\) | 0.541383 | − | 0.937703i | 0.0408083 | − | 0.0706820i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −7.61852 | + | 13.1957i | −0.571032 | + | 0.989057i | ||||
\(179\) | −11.0152 | − | 19.0789i | −0.823315 | − | 1.42602i | −0.903200 | − | 0.429220i | \(-0.858789\pi\) |
0.0798846 | − | 0.996804i | \(-0.474545\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.43380 | 0.701208 | 0.350604 | − | 0.936524i | \(-0.385976\pi\) | ||||
0.350604 | + | 0.936524i | \(0.385976\pi\) | |||||||
\(182\) | 4.42886 | + | 1.21720i | 0.328289 | + | 0.0902247i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.113585 | − | 0.196736i | −0.00837363 | − | 0.0145035i | ||||
\(185\) | −0.608649 | − | 1.05421i | −0.0447488 | − | 0.0775071i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.253344 | −0.0185264 | ||||||||
\(188\) | −0.887876 | + | 1.53785i | −0.0647550 | + | 0.112159i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3.23572 | −0.234744 | ||||||||
\(191\) | −1.68860 | + | 2.92474i | −0.122183 | + | 0.211627i | −0.920628 | − | 0.390440i | \(-0.872323\pi\) |
0.798445 | + | 0.602067i | \(0.205656\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.1614 | − | 19.3321i | −0.803413 | − | 1.39155i | −0.917357 | − | 0.398065i | \(-0.869682\pi\) |
0.113945 | − | 0.993487i | \(-0.463651\pi\) | |||||||
\(194\) | 12.8705 | 0.924049 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.377203 | −0.0269431 | ||||||||
\(197\) | −12.7257 | − | 22.0416i | −0.906669 | − | 1.57040i | −0.818661 | − | 0.574277i | \(-0.805283\pi\) |
−0.0880085 | − | 0.996120i | \(-0.528050\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 11.1702 | − | 19.3473i | 0.791833 | − | 1.37149i | −0.132998 | − | 0.991116i | \(-0.542460\pi\) |
0.924831 | − | 0.380379i | \(-0.124206\pi\) | |||||||
\(200\) | 11.4551 | 0.810001 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.59556 | − | 4.49565i | 0.182623 | − | 0.316313i | ||||
\(203\) | 0.480515 | 0.0337256 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.70769 | − | 2.95780i | −0.119270 | − | 0.206582i | ||||
\(206\) | 2.61852 | + | 4.53541i | 0.182441 | + | 0.315997i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.82661 | − | 10.8262i | −0.195990 | − | 0.750664i | ||||
\(209\) | 0.803248 | 0.0555618 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.01908 | − | 8.69331i | −0.345528 | − | 0.598472i | 0.639922 | − | 0.768440i | \(-0.278967\pi\) |
−0.985450 | + | 0.169968i | \(0.945634\pi\) | |||||||
\(212\) | −1.04632 | + | 1.81228i | −0.0718615 | + | 0.124468i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.93032 | + | 6.80752i | −0.268671 | + | 0.465352i | ||||
\(215\) | −2.55019 | + | 4.41707i | −0.173922 | + | 0.301241i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.42886 | + | 5.93896i | −0.232766 | + | 0.403163i | ||||
\(218\) | 5.61892 | + | 9.73226i | 0.380561 | + | 0.659152i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.145205 | 0.00978974 | ||||||||
\(221\) | −1.86305 | + | 1.83932i | −0.125323 | + | 0.123726i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.56727 | + | 4.44664i | 0.171917 | + | 0.297769i | 0.939090 | − | 0.343671i | \(-0.111671\pi\) |
−0.767173 | + | 0.641440i | \(0.778337\pi\) | |||||||
\(224\) | 1.05166 | + | 1.82152i | 0.0702667 | + | 0.121706i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −15.2993 | −1.01769 | ||||||||
\(227\) | −14.4855 | + | 25.0895i | −0.961433 | + | 1.66525i | −0.242526 | + | 0.970145i | \(0.577976\pi\) |
−0.718907 | + | 0.695106i | \(0.755357\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.679390 | 0.0448953 | 0.0224477 | − | 0.999748i | \(-0.492854\pi\) | ||||
0.0224477 | + | 0.999748i | \(0.492854\pi\) | |||||||
\(230\) | −0.0527175 | + | 0.0913094i | −0.00347609 | + | 0.00602076i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.727571 | − | 1.26019i | −0.0477674 | − | 0.0827355i | ||||
\(233\) | 18.3022 | 1.19902 | 0.599508 | − | 0.800369i | \(-0.295363\pi\) | ||||
0.599508 | + | 0.800369i | \(0.295363\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.19405 | 0.338822 | ||||||||
\(236\) | 0.740258 | + | 1.28216i | 0.0481867 | + | 0.0834618i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.462492 | + | 0.801060i | −0.0299789 | + | 0.0519250i | ||||
\(239\) | 5.45222 | 0.352675 | 0.176337 | − | 0.984330i | \(-0.443575\pi\) | ||||
0.176337 | + | 0.984330i | \(0.443575\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.73105 | − | 13.3906i | 0.498000 | − | 0.862562i | −0.501997 | − | 0.864869i | \(-0.667401\pi\) |
0.999997 | + | 0.00230736i | \(0.000734455\pi\) | |||||||
\(242\) | −13.8577 | −0.890808 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1.04632 | + | 1.81228i | 0.0669837 | + | 0.116019i | ||||
\(245\) | 0.551656 | + | 0.955496i | 0.0352440 | + | 0.0610444i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.90696 | − | 5.83169i | 0.375851 | − | 0.371062i | ||||
\(248\) | 20.7672 | 1.31872 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −6.17204 | − | 10.6903i | −0.390354 | − | 0.676113i | ||||
\(251\) | −4.14722 | + | 7.18319i | −0.261770 | + | 0.453399i | −0.966712 | − | 0.255866i | \(-0.917640\pi\) |
0.704942 | + | 0.709265i | \(0.250973\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.0130868 | − | 0.0226670i | 0.000822760 | − | 0.00142506i | ||||
\(254\) | 3.73105 | − | 6.46236i | 0.234107 | − | 0.405485i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 4.35530 | − | 7.54361i | 0.272207 | − | 0.471476i | ||||
\(257\) | −7.51908 | − | 13.0234i | −0.469028 | − | 0.812380i | 0.530346 | − | 0.847782i | \(-0.322062\pi\) |
−0.999373 | + | 0.0354019i | \(0.988729\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.10331 | 0.0685565 | ||||||||
\(260\) | 1.06782 | − | 1.05421i | 0.0662232 | − | 0.0653794i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 14.2711 | + | 24.7182i | 0.881670 | + | 1.52710i | ||||
\(263\) | −8.62240 | − | 14.9344i | −0.531680 | − | 0.920896i | −0.999316 | − | 0.0369754i | \(-0.988228\pi\) |
0.467636 | − | 0.883921i | \(-0.345106\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.12094 | 0.376006 | ||||||||
\(266\) | 1.46637 | − | 2.53982i | 0.0899087 | − | 0.155726i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.06434 | −0.187185 | ||||||||
\(269\) | −12.1472 | + | 21.0396i | −0.740629 | + | 1.28281i | 0.211580 | + | 0.977361i | \(0.432139\pi\) |
−0.952209 | + | 0.305446i | \(0.901194\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.16630 | − | 15.8765i | −0.556813 | − | 0.964429i | −0.997760 | − | 0.0668956i | \(-0.978691\pi\) |
0.440947 | − | 0.897533i | \(-0.354643\pi\) | |||||||
\(272\) | 2.25334 | 0.136629 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −25.7437 | −1.55524 | ||||||||
\(275\) | 0.659905 | + | 1.14299i | 0.0397938 | + | 0.0689248i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.22717 | + | 7.32167i | −0.253986 | + | 0.439917i | −0.964620 | − | 0.263646i | \(-0.915075\pi\) |
0.710634 | + | 0.703562i | \(0.248408\pi\) | |||||||
\(278\) | 5.44447 | 0.326538 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.67058 | − | 2.89353i | 0.0998361 | − | 0.172921i | ||||
\(281\) | 25.0120 | 1.49209 | 0.746045 | − | 0.665895i | \(-0.231950\pi\) | ||||
0.746045 | + | 0.665895i | \(0.231950\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −13.5707 | − | 23.5052i | −0.806697 | − | 1.39724i | −0.915140 | − | 0.403137i | \(-0.867920\pi\) |
0.108443 | − | 0.994103i | \(-0.465414\pi\) | |||||||
\(284\) | 1.79725 | + | 3.11293i | 0.106647 | + | 0.184718i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.14042 | − | 1.12589i | 0.0674344 | − | 0.0665752i | ||||
\(287\) | 3.09556 | 0.182725 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.23638 | + | 14.2658i | 0.484493 | + | 0.839167i | ||||
\(290\) | −0.337682 | + | 0.584882i | −0.0198294 | + | 0.0343455i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.96783 | + | 3.40838i | −0.115158 | + | 0.199460i | ||||
\(293\) | −5.27002 | + | 9.12793i | −0.307878 | + | 0.533260i | −0.977898 | − | 0.209083i | \(-0.932952\pi\) |
0.670020 | + | 0.742343i | \(0.266285\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.16524 | − | 3.75031i | 0.126065 | − | 0.218351i | ||||
\(296\) | −1.67058 | − | 2.89353i | −0.0971004 | − | 0.168183i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.23784 | 0.361349 | ||||||||
\(299\) | −0.0683273 | − | 0.261701i | −0.00395147 | − | 0.0151346i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.31140 | − | 4.00346i | −0.133227 | − | 0.230756i | ||||
\(302\) | 5.69781 | + | 9.86890i | 0.327872 | + | 0.567891i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −7.14440 | −0.409760 | ||||||||
\(305\) | 3.06047 | − | 5.30089i | 0.175242 | − | 0.303528i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.40842 | −0.251602 | −0.125801 | − | 0.992055i | \(-0.540150\pi\) | ||||
−0.125801 | + | 0.992055i | \(0.540150\pi\) | |||||||
\(308\) | −0.0658043 | + | 0.113976i | −0.00374955 | + | 0.00649441i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −4.81926 | − | 8.34720i | −0.273715 | − | 0.474089i | ||||
\(311\) | 2.32836 | 0.132029 | 0.0660146 | − | 0.997819i | \(-0.478972\pi\) | ||||
0.0660146 | + | 0.997819i | \(0.478972\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 12.6687 | 0.716078 | 0.358039 | − | 0.933707i | \(-0.383445\pi\) | ||||
0.358039 | + | 0.933707i | \(0.383445\pi\) | |||||||
\(314\) | −4.20034 | − | 7.27520i | −0.237039 | − | 0.410563i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.22611 | − | 5.58779i | 0.181483 | − | 0.314337i | ||||
\(317\) | 12.2915 | 0.690360 | 0.345180 | − | 0.938536i | \(-0.387818\pi\) | ||||
0.345180 | + | 0.938536i | \(0.387818\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.0838275 | − | 0.145193i | 0.00469344 | − | 0.00812927i | ||||
\(320\) | −9.80405 | −0.548063 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.0477811 | − | 0.0827593i | −0.00266274 | − | 0.00461200i | ||||
\(323\) | 0.835820 | + | 1.44768i | 0.0465063 | + | 0.0805512i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 13.1511 | + | 3.61436i | 0.729491 | + | 0.200489i | ||||
\(326\) | −12.6172 | −0.698800 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −4.68714 | − | 8.11836i | −0.258804 | − | 0.448262i | ||||
\(329\) | −2.35384 | + | 4.07698i | −0.129772 | + | 0.224771i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −6.64576 | + | 11.5108i | −0.365284 | + | 0.632690i | −0.988822 | − | 0.149103i | \(-0.952361\pi\) |
0.623538 | + | 0.781793i | \(0.285695\pi\) | |||||||
\(332\) | 2.24706 | − | 3.89202i | 0.123323 | − | 0.213602i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −10.6730 | + | 18.4862i | −0.584000 | + | 1.01152i | ||||
\(335\) | 4.48158 | + | 7.76232i | 0.244855 | + | 0.424101i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.40550 | −0.185509 | −0.0927547 | − | 0.995689i | \(-0.529567\pi\) | ||||
−0.0927547 | + | 0.995689i | \(0.529567\pi\) | |||||||
\(338\) | 0.212362 | − | 16.5592i | 0.0115510 | − | 0.900703i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.151093 | + | 0.261701i | 0.00819419 | + | 0.0141928i | ||||
\(341\) | 1.19635 | + | 2.07214i | 0.0647861 | + | 0.112213i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | −6.99960 | + | 12.1237i | −0.377393 | + | 0.653664i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −17.4757 | −0.939499 | ||||||||
\(347\) | −16.7491 | + | 29.0102i | −0.899137 | + | 1.55735i | −0.0705378 | + | 0.997509i | \(0.522472\pi\) |
−0.828599 | + | 0.559842i | \(0.810862\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 14.0902 | + | 24.4050i | 0.754232 | + | 1.30637i | 0.945755 | + | 0.324881i | \(0.105324\pi\) |
−0.191523 | + | 0.981488i | \(0.561342\pi\) | |||||||
\(350\) | 4.81875 | 0.257573 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.733860 | 0.0391148 | ||||||||
\(353\) | −1.49612 | − | 2.59136i | −0.0796307 | − | 0.137924i | 0.823460 | − | 0.567374i | \(-0.192041\pi\) |
−0.903091 | + | 0.429450i | \(0.858707\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5.25693 | − | 9.10527i | 0.279009 | − | 0.483257i | ||||
\(356\) | −4.51173 | −0.239121 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −14.0322 | + | 24.3044i | −0.741623 | + | 1.28453i | ||||
\(359\) | −3.80888 | −0.201025 | −0.100512 | − | 0.994936i | \(-0.532048\pi\) | ||||
−0.100512 | + | 0.994936i | \(0.532048\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.84997 | + | 11.8645i | 0.360525 | + | 0.624447i | ||||
\(362\) | −6.00881 | − | 10.4076i | −0.315816 | − | 0.547010i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.343570 | + | 1.31591i | 0.0180080 | + | 0.0689726i | ||||
\(365\) | 11.5117 | 0.602552 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 13.2257 | + | 22.9076i | 0.690376 | + | 1.19577i | 0.971715 | + | 0.236158i | \(0.0758884\pi\) |
−0.281338 | + | 0.959609i | \(0.590778\pi\) | |||||||
\(368\) | −0.116399 | + | 0.201609i | −0.00606772 | + | 0.0105096i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.775352 | + | 1.34295i | −0.0403086 | + | 0.0698166i | ||||
\(371\) | −2.77389 | + | 4.80452i | −0.144013 | + | 0.249438i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.06580 | + | 1.84603i | −0.0551853 | + | 0.0955837i | −0.892298 | − | 0.451446i | \(-0.850908\pi\) |
0.837113 | + | 0.547030i | \(0.184242\pi\) | |||||||
\(374\) | 0.161367 | + | 0.279495i | 0.00834406 | + | 0.0144523i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 14.2563 | 0.735211 | ||||||||
\(377\) | −0.437670 | − | 1.67633i | −0.0225412 | − | 0.0863353i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.97170 | + | 12.0753i | 0.358112 | + | 0.620269i | 0.987645 | − | 0.156705i | \(-0.0500871\pi\) |
−0.629533 | + | 0.776974i | \(0.716754\pi\) | |||||||
\(380\) | −0.479053 | − | 0.829745i | −0.0245749 | − | 0.0425650i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.30219 | 0.220119 | ||||||||
\(383\) | −9.30219 | + | 16.1119i | −0.475320 | + | 0.823278i | −0.999600 | − | 0.0282678i | \(-0.991001\pi\) |
0.524281 | + | 0.851545i | \(0.324334\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.384953 | 0.0196190 | ||||||||
\(386\) | −14.2184 | + | 24.6269i | −0.723695 | + | 1.25348i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.90550 | + | 3.30042i | 0.0967371 | + | 0.167554i | ||||
\(389\) | 1.23009 | 0.0623682 | 0.0311841 | − | 0.999514i | \(-0.490072\pi\) | ||||
0.0311841 | + | 0.999514i | \(0.490072\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.0544699 | 0.00275466 | ||||||||
\(392\) | 1.51415 | + | 2.62258i | 0.0764760 | + | 0.132460i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −16.2112 | + | 28.0786i | −0.816706 | + | 1.41458i | ||||
\(395\) | −18.8726 | −0.949585 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −14.8071 | + | 25.6467i | −0.743148 | + | 1.28717i | 0.207907 | + | 0.978149i | \(0.433335\pi\) |
−0.951055 | + | 0.309022i | \(0.899998\pi\) | |||||||
\(398\) | −28.4592 | −1.42653 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.86945 | − | 10.1662i | −0.293473 | − | 0.508310i | ||||
\(401\) | 4.09023 | + | 7.08448i | 0.204256 | + | 0.353782i | 0.949895 | − | 0.312568i | \(-0.101189\pi\) |
−0.745639 | + | 0.666350i | \(0.767856\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 23.8418 | + | 6.55253i | 1.18765 | + | 0.326405i | ||||
\(404\) | 1.53711 | 0.0764740 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.306062 | − | 0.530115i | −0.0151896 | − | 0.0263092i | ||||
\(407\) | 0.192476 | − | 0.333379i | 0.00954070 | − | 0.0165250i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.03363 | + | 8.71851i | −0.248897 | + | 0.431102i | −0.963220 | − | 0.268714i | \(-0.913401\pi\) |
0.714323 | + | 0.699816i | \(0.246735\pi\) | |||||||
\(410\) | −2.17540 | + | 3.76791i | −0.107436 | + | 0.186084i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.775352 | + | 1.34295i | −0.0381989 | + | 0.0661624i | ||||
\(413\) | 1.96249 | + | 3.39914i | 0.0965679 | + | 0.167261i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −13.1452 | −0.645273 | ||||||||
\(416\) | 5.39669 | − | 5.32792i | 0.264594 | − | 0.261223i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.511625 | − | 0.886161i | −0.0250244 | − | 0.0433435i | ||||
\(419\) | 4.72998 | + | 8.19257i | 0.231075 | + | 0.400233i | 0.958125 | − | 0.286351i | \(-0.0924424\pi\) |
−0.727050 | + | 0.686585i | \(0.759109\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 31.0643 | 1.51398 | 0.756992 | − | 0.653424i | \(-0.226668\pi\) | ||||
0.756992 | + | 0.653424i | \(0.226668\pi\) | |||||||
\(422\) | −6.39376 | + | 11.0743i | −0.311244 | + | 0.539090i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 16.8003 | 0.815896 | ||||||||
\(425\) | −1.37333 | + | 2.37867i | −0.0666162 | + | 0.115383i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.77389 | + | 4.80452i | 0.134238 | + | 0.232507i | ||||
\(428\) | −2.32756 | −0.112507 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 6.49734 | 0.313329 | ||||||||
\(431\) | −12.6093 | − | 21.8400i | −0.607369 | − | 1.05199i | −0.991672 | − | 0.128787i | \(-0.958892\pi\) |
0.384303 | − | 0.923207i | \(-0.374442\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.88495 | + | 3.26483i | −0.0905851 | + | 0.156898i | −0.907757 | − | 0.419495i | \(-0.862207\pi\) |
0.817172 | + | 0.576393i | \(0.195540\pi\) | |||||||
\(434\) | 8.73598 | 0.419341 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.66378 | + | 2.88175i | −0.0796806 | + | 0.138011i | ||||
\(437\) | −0.172701 | −0.00826141 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 11.3174 | + | 19.6023i | 0.540150 | + | 0.935567i | 0.998895 | + | 0.0469991i | \(0.0149658\pi\) |
−0.458745 | + | 0.888568i | \(0.651701\pi\) | |||||||
\(440\) | −0.582876 | − | 1.00957i | −0.0277875 | − | 0.0481294i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.21584 | + | 0.883819i | 0.152962 | + | 0.0420390i | ||||
\(443\) | −4.64334 | −0.220612 | −0.110306 | − | 0.993898i | \(-0.535183\pi\) | ||||
−0.110306 | + | 0.993898i | \(0.535183\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6.59838 | + | 11.4287i | 0.312793 | + | 0.541773i | ||||
\(446\) | 3.27042 | − | 5.66453i | 0.154859 | − | 0.268223i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 4.44301 | − | 7.69551i | 0.209912 | − | 0.363579i | ||||
\(449\) | 4.71156 | − | 8.16066i | 0.222352 | − | 0.385125i | −0.733170 | − | 0.680046i | \(-0.761960\pi\) |
0.955522 | + | 0.294920i | \(0.0952931\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.540031 | − | 0.935361i | 0.0254291 | − | 0.0440444i | ||||
\(452\) | −2.26508 | − | 3.92323i | −0.106540 | − | 0.184533i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 36.9058 | 1.73207 | ||||||||
\(455\) | 2.83088 | − | 2.79481i | 0.132714 | − | 0.131023i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −6.35812 | − | 11.0126i | −0.297420 | − | 0.515147i | 0.678125 | − | 0.734947i | \(-0.262793\pi\) |
−0.975545 | + | 0.219800i | \(0.929460\pi\) | |||||||
\(458\) | −0.432734 | − | 0.749517i | −0.0202203 | − | 0.0350226i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.0312196 | −0.00145562 | ||||||||
\(461\) | −14.8627 | + | 25.7429i | −0.692223 | + | 1.19897i | 0.278885 | + | 0.960324i | \(0.410035\pi\) |
−0.971108 | + | 0.238641i | \(0.923298\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −15.2838 | −0.710297 | −0.355148 | − | 0.934810i | \(-0.615570\pi\) | ||||
−0.355148 | + | 0.934810i | \(0.615570\pi\) | |||||||
\(464\) | −0.745594 | + | 1.29141i | −0.0346133 | + | 0.0599521i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −11.6575 | − | 20.1914i | −0.540023 | − | 0.935347i | ||||
\(467\) | 26.6503 | 1.23323 | 0.616614 | − | 0.787265i | \(-0.288504\pi\) | ||||
0.616614 | + | 0.787265i | \(0.288504\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.12386 | −0.375125 | ||||||||
\(470\) | −3.30832 | − | 5.73019i | −0.152602 | − | 0.264314i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 5.94301 | − | 10.2936i | 0.273549 | − | 0.473801i | ||||
\(473\) | −1.61292 | −0.0741623 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.35424 | − | 7.54177i | 0.199786 | − | 0.346040i | ||||
\(476\) | −0.273891 | −0.0125538 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.47277 | − | 6.01501i | −0.158841 | − | 0.275120i | ||||
\(479\) | −11.1058 | − | 19.2359i | −0.507439 | − | 0.878909i | −0.999963 | − | 0.00861072i | \(-0.997259\pi\) |
0.492524 | − | 0.870299i | \(-0.336074\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.00494 | − | 3.84902i | −0.0458212 | − | 0.175500i | ||||
\(482\) | −19.6970 | −0.897174 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.05166 | − | 3.55357i | −0.0932571 | − | 0.161526i | ||||
\(485\) | 5.57355 | − | 9.65368i | 0.253082 | − | 0.438351i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.485852 | − | 0.841520i | 0.0220160 | − | 0.0381329i | −0.854807 | − | 0.518945i | \(-0.826325\pi\) |
0.876824 | + | 0.480812i | \(0.159658\pi\) | |||||||
\(488\) | 8.40016 | − | 14.5495i | 0.380257 | − | 0.658625i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.702750 | − | 1.21720i | 0.0317470 | − | 0.0549874i | ||||
\(491\) | 13.4674 | + | 23.3263i | 0.607777 | + | 1.05270i | 0.991606 | + | 0.129296i | \(0.0412717\pi\) |
−0.383830 | + | 0.923404i | \(0.625395\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.348907 | 0.0157140 | ||||||||
\(494\) | −10.1961 | − | 2.80222i | −0.458742 | − | 0.126078i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −10.6408 | − | 18.4304i | −0.477787 | − | 0.827551i | ||||
\(497\) | 4.76468 | + | 8.25267i | 0.213725 | + | 0.370183i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −21.1239 | −0.945634 | −0.472817 | − | 0.881161i | \(-0.656763\pi\) | ||||
−0.472817 | + | 0.881161i | \(0.656763\pi\) | |||||||
\(500\) | 1.82756 | − | 3.16543i | 0.0817310 | − | 0.141562i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 10.5662 | 0.471593 | ||||||||
\(503\) | 6.28270 | − | 10.8820i | 0.280132 | − | 0.485203i | −0.691285 | − | 0.722582i | \(-0.742955\pi\) |
0.971417 | + | 0.237379i | \(0.0762885\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.24801 | − | 3.89366i | −0.100035 | − | 0.173266i | ||||
\(506\) | −0.0333423 | −0.00148225 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.20955 | 0.0980328 | ||||||||
\(509\) | 13.8032 | + | 23.9079i | 0.611818 | + | 1.05970i | 0.990934 | + | 0.134351i | \(0.0428949\pi\) |
−0.379116 | + | 0.925349i | \(0.623772\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.21690 | + | 9.03593i | −0.230782 | + | 0.399726i | ||||
\(512\) | −25.3227 | −1.11912 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −9.57849 | + | 16.5904i | −0.422489 | + | 0.731773i | ||||
\(515\) | 4.53579 | 0.199871 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.821271 | + | 1.42248i | 0.0361195 | + | 0.0625608i | ||||
\(518\) | −0.702750 | − | 1.21720i | −0.0308770 | − | 0.0534806i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −11.6160 | − | 3.19246i | −0.509395 | − | 0.139999i | ||||
\(521\) | 36.8783 | 1.61567 | 0.807833 | − | 0.589411i | \(-0.200640\pi\) | ||||
0.807833 | + | 0.589411i | \(0.200640\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −15.4027 | − | 26.6782i | −0.673512 | − | 1.16656i | −0.976901 | − | 0.213691i | \(-0.931451\pi\) |
0.303389 | − | 0.952867i | \(-0.401882\pi\) | |||||||
\(524\) | −4.22571 | + | 7.31914i | −0.184601 | + | 0.319738i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −10.9840 | + | 19.0248i | −0.478925 | + | 0.829522i | ||||
\(527\) | −2.48973 | + | 4.31233i | −0.108454 | + | 0.187848i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.4972 | − | 19.9137i | 0.499878 | − | 0.865814i | ||||
\(530\) | −3.89870 | − | 6.75275i | −0.169349 | − | 0.293321i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.868391 | 0.0376495 | ||||||||
\(533\) | −2.81955 | − | 10.7992i | −0.122128 | − | 0.467765i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.40404 | + | 5.89597i | 0.147169 | + | 0.254905i | ||||
\(536\) | 12.3007 | + | 21.3055i | 0.531310 | + | 0.920257i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 30.9485 | 1.33428 | ||||||||
\(539\) | −0.174453 | + | 0.302162i | −0.00751424 | + | 0.0130150i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −41.4981 | −1.78414 | −0.892072 | − | 0.451893i | \(-0.850749\pi\) | ||||
−0.892072 | + | 0.451893i | \(0.850749\pi\) | |||||||
\(542\) | −11.6769 | + | 20.2249i | −0.501564 | + | 0.868735i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.763617 | + | 1.32262i | 0.0327398 | + | 0.0567070i | ||||
\(545\) | 9.73306 | 0.416918 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −41.3716 | −1.76892 | −0.884460 | − | 0.466615i | \(-0.845473\pi\) | ||||
−0.884460 | + | 0.466615i | \(0.845473\pi\) | |||||||
\(548\) | −3.81140 | − | 6.60154i | −0.162815 | − | 0.282004i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.840647 | − | 1.45604i | 0.0358453 | − | 0.0620859i | ||||
\(551\) | −1.10624 | −0.0471272 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 8.55272 | − | 14.8137i | 0.363699 | − | 0.629944i | ||||
\(554\) | 10.7699 | 0.457569 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.806062 | + | 1.39614i | 0.0341846 | + | 0.0592095i | ||||
\(557\) | 15.0075 | + | 25.9937i | 0.635886 | + | 1.10139i | 0.986327 | + | 0.164803i | \(0.0526987\pi\) |
−0.350440 | + | 0.936585i | \(0.613968\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −11.8612 | + | 11.7101i | −0.501675 | + | 0.495283i | ||||
\(560\) | −3.42392 | −0.144687 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −15.9313 | − | 27.5938i | −0.672020 | − | 1.16397i | ||||
\(563\) | 12.9674 | − | 22.4602i | 0.546512 | − | 0.946586i | −0.451998 | − | 0.892019i | \(-0.649289\pi\) |
0.998510 | − | 0.0545676i | \(-0.0173780\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.62532 | + | 11.4754i | −0.278729 | + | 0.482773i | ||||
\(566\) | −17.2876 | + | 29.9431i | −0.726654 | + | 1.25860i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 14.4289 | − | 24.9915i | 0.605421 | − | 1.04862i | ||||
\(569\) | −3.28310 | − | 5.68650i | −0.137635 | − | 0.238390i | 0.788966 | − | 0.614437i | \(-0.210617\pi\) |
−0.926601 | + | 0.376046i | \(0.877283\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −30.0539 | −1.25772 | −0.628858 | − | 0.777520i | \(-0.716477\pi\) | ||||
−0.628858 | + | 0.777520i | \(0.716477\pi\) | |||||||
\(572\) | 0.457556 | + | 0.125752i | 0.0191314 | + | 0.00525794i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.97170 | − | 3.41509i | −0.0822973 | − | 0.142543i | ||||
\(575\) | −0.141882 | − | 0.245746i | −0.00591687 | − | 0.0102483i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 21.1706 | 0.881343 | 0.440671 | − | 0.897669i | \(-0.354740\pi\) | ||||
0.440671 | + | 0.897669i | \(0.354740\pi\) | |||||||
\(578\) | 10.4922 | − | 18.1731i | 0.436420 | − | 0.755902i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.199977 | −0.00830360 | ||||||||
\(581\) | 5.95716 | − | 10.3181i | 0.247144 | − | 0.428067i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.967829 | + | 1.67633i | 0.0400834 | + | 0.0694264i | ||||
\(584\) | 31.5966 | 1.30748 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 13.4268 | 0.554658 | ||||||||
\(587\) | 0.0156098 | + | 0.0270370i | 0.000644286 | + | 0.00111594i | 0.866347 | − | 0.499442i | \(-0.166462\pi\) |
−0.865703 | + | 0.500558i | \(0.833128\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.89387 | − | 13.6726i | 0.325261 | − | 0.563369i | ||||
\(590\) | −5.51656 | −0.227113 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.71196 | + | 2.96520i | −0.0703612 | + | 0.121869i | ||||
\(593\) | 10.3150 | 0.423586 | 0.211793 | − | 0.977315i | \(-0.432070\pi\) | ||||
0.211793 | + | 0.977315i | \(0.432070\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.400563 | + | 0.693795i | 0.0164215 | + | 0.0284428i | ||||
\(596\) | 0.923522 | + | 1.59959i | 0.0378289 | + | 0.0655217i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.245194 | + | 0.242070i | −0.0100267 | + | 0.00989896i | ||||
\(599\) | −44.0176 | −1.79851 | −0.899256 | − | 0.437423i | \(-0.855891\pi\) | ||||
−0.899256 | + | 0.437423i | \(0.855891\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −2.52336 | − | 4.37059i | −0.102930 | − | 0.178280i | 0.809961 | − | 0.586484i | \(-0.199488\pi\) |
−0.912891 | + | 0.408204i | \(0.866155\pi\) | |||||||
\(602\) | −2.94447 | + | 5.09997i | −0.120008 | + | 0.207859i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −1.68714 | + | 2.92221i | −0.0686487 | + | 0.118903i | ||||
\(605\) | −6.00106 | + | 10.3941i | −0.243978 | + | 0.422582i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.32409 | + | 14.4177i | −0.337864 | + | 0.585198i | −0.984031 | − | 0.177998i | \(-0.943038\pi\) |
0.646167 | + | 0.763196i | \(0.276371\pi\) | |||||||
\(608\) | −2.42111 | − | 4.19348i | −0.0981889 | − | 0.170068i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −7.79740 | −0.315708 | ||||||||
\(611\) | 16.3669 | + | 4.49818i | 0.662135 | + | 0.181977i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −19.0060 | − | 32.9194i | −0.767645 | − | 1.32960i | −0.938837 | − | 0.344362i | \(-0.888095\pi\) |
0.171192 | − | 0.985238i | \(-0.445238\pi\) | |||||||
\(614\) | 2.80792 | + | 4.86347i | 0.113319 | + | 0.196274i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.05659 | 0.0425713 | ||||||||
\(617\) | 7.83330 | − | 13.5677i | 0.315357 | − | 0.546214i | −0.664157 | − | 0.747593i | \(-0.731209\pi\) |
0.979513 | + | 0.201380i | \(0.0645425\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.26109 | 0.131074 | 0.0655372 | − | 0.997850i | \(-0.479124\pi\) | ||||
0.0655372 | + | 0.997850i | \(0.479124\pi\) | |||||||
\(620\) | 1.42700 | − | 2.47163i | 0.0573096 | − | 0.0992631i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −1.48304 | − | 2.56870i | −0.0594644 | − | 0.102995i | ||||
\(623\) | −11.9610 | −0.479209 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 8.22234 | 0.328894 | ||||||||
\(626\) | −8.06928 | − | 13.9764i | −0.322513 | − | 0.558609i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.24373 | − | 2.15421i | 0.0496303 | − | 0.0859622i | ||||
\(629\) | 0.801125 | 0.0319430 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.799773 | + | 1.38525i | −0.0318385 | + | 0.0551459i | −0.881506 | − | 0.472174i | \(-0.843470\pi\) |
0.849667 | + | 0.527319i | \(0.176803\pi\) | |||||||
\(632\) | −51.8003 | −2.06051 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −7.82902 | − | 13.5603i | −0.310930 | − | 0.538547i | ||||
\(635\) | −3.23145 | − | 5.59703i | −0.128236 | − | 0.222111i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.910836 | + | 3.48861i | 0.0360886 | + | 0.138224i | ||||
\(638\) | −0.213574 | −0.00845548 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 3.92403 | + | 6.79662i | 0.155111 | + | 0.268660i | ||||
\(641\) | 15.6779 | − | 27.1550i | 0.619241 | − | 1.07256i | −0.370384 | − | 0.928879i | \(-0.620774\pi\) |
0.989625 | − | 0.143678i | \(-0.0458929\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.33154 | − | 16.1627i | 0.368000 | − | 0.637395i | −0.621253 | − | 0.783610i | \(-0.713376\pi\) |
0.989253 | + | 0.146215i | \(0.0467092\pi\) | |||||||
\(644\) | 0.0141481 | − | 0.0245053i | 0.000557514 | − | 0.000965643i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.06474 | − | 1.84419i | 0.0418918 | − | 0.0725586i | ||||
\(647\) | 3.26855 | + | 5.66130i | 0.128500 | + | 0.222569i | 0.923096 | − | 0.384570i | \(-0.125650\pi\) |
−0.794596 | + | 0.607139i | \(0.792317\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.36945 | 0.0537557 | ||||||||
\(650\) | −4.38909 | − | 16.8107i | −0.172154 | − | 0.659371i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.86799 | − | 3.23546i | −0.0731562 | − | 0.126710i | ||||
\(653\) | 7.92605 | + | 13.7283i | 0.310170 | + | 0.537230i | 0.978399 | − | 0.206725i | \(-0.0662806\pi\) |
−0.668229 | + | 0.743956i | \(0.732947\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 24.7203 | 0.965901 | ||||||||
\(656\) | −4.80325 | + | 8.31947i | −0.187535 | + | 0.324821i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 5.99708 | 0.233790 | ||||||||
\(659\) | −24.8987 | + | 43.1258i | −0.969916 | + | 1.67994i | −0.274132 | + | 0.961692i | \(0.588390\pi\) |
−0.695784 | + | 0.718251i | \(0.744943\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.78552 | − | 3.09260i | −0.0694485 | − | 0.120288i | 0.829210 | − | 0.558937i | \(-0.188791\pi\) |
−0.898659 | + | 0.438649i | \(0.855457\pi\) | |||||||
\(662\) | 16.9319 | 0.658078 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −36.0801 | −1.40018 | ||||||||
\(665\) | −1.27002 | − | 2.19973i | −0.0492491 | − | 0.0853019i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.0180232 | + | 0.0312170i | −0.000697860 | + | 0.00120873i | ||||
\(668\) | −6.32061 | −0.244552 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 5.70904 | − | 9.88834i | 0.220559 | − | 0.382020i | ||||
\(671\) | 1.93566 | 0.0747252 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.86693 | − | 10.1618i | −0.226154 | − | 0.391709i | 0.730511 | − | 0.682901i | \(-0.239282\pi\) |
−0.956665 | + | 0.291191i | \(0.905948\pi\) | |||||||
\(674\) | 2.16912 | + | 3.75702i | 0.0835512 | + | 0.144715i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 4.27777 | − | 2.39716i | 0.164529 | − | 0.0921985i | ||||
\(677\) | −17.3326 | −0.666146 | −0.333073 | − | 0.942901i | \(-0.608086\pi\) | ||||
−0.333073 | + | 0.942901i | \(0.608086\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 5.05166 | + | 8.74973i | 0.193865 | + | 0.335784i | ||||
\(680\) | 1.21302 | − | 2.10102i | 0.0465173 | − | 0.0805703i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.52402 | − | 2.63968i | 0.0583578 | − | 0.101079i | ||||
\(683\) | 8.48198 | − | 14.6912i | 0.324554 | − | 0.562144i | −0.656868 | − | 0.754005i | \(-0.728119\pi\) |
0.981422 | + | 0.191862i | \(0.0614525\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −11.1483 | + | 19.3094i | −0.425954 | + | 0.737774i | ||||
\(686\) | 0.636945 | + | 1.10322i | 0.0243187 | + | 0.0421212i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 14.3460 | 0.546935 | ||||||||
\(689\) | 19.2876 | + | 5.30089i | 0.734801 | + | 0.201948i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −18.3213 | − | 31.7334i | −0.696974 | − | 1.20719i | −0.969511 | − | 0.245049i | \(-0.921196\pi\) |
0.272537 | − | 0.962145i | \(-0.412137\pi\) | |||||||
\(692\) | −2.58730 | − | 4.48134i | −0.0983545 | − | 0.170355i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 42.6730 | 1.61984 | ||||||||
\(695\) | 2.35772 | − | 4.08369i | 0.0894333 | − | 0.154903i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.24772 | 0.0851384 | ||||||||
\(698\) | 17.9494 | − | 31.0893i | 0.679395 | − | 1.17675i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.713423 | + | 1.23568i | 0.0269649 | + | 0.0467045i | ||||
\(701\) | 14.6092 | 0.551782 | 0.275891 | − | 0.961189i | \(-0.411027\pi\) | ||||
0.275891 | + | 0.961189i | \(0.411027\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.54003 | −0.0957991 | ||||||||
\(704\) | −1.55019 | − | 2.68502i | −0.0584252 | − | 0.101195i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.90590 | + | 3.30111i | −0.0717295 | + | 0.124239i | ||||
\(707\) | 4.07502 | 0.153257 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 11.7930 | − | 20.4260i | 0.442894 | − | 0.767116i | −0.555008 | − | 0.831845i | \(-0.687285\pi\) |
0.997903 | + | 0.0647290i | \(0.0206183\pi\) | |||||||
\(710\) | −13.3935 | −0.502649 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 18.1108 | + | 31.3688i | 0.678730 | + | 1.17559i | ||||
\(713\) | −0.257219 | − | 0.445517i | −0.00963294 | − | 0.0166847i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.350629 | − | 1.34295i | −0.0131128 | − | 0.0502235i | ||||
\(716\) | −8.30994 | −0.310557 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.42605 | + | 4.20203i | 0.0905392 | + | 0.156819i | ||||
\(719\) | 17.0669 | − | 29.5607i | 0.636487 | − | 1.10243i | −0.349711 | − | 0.936857i | \(-0.613720\pi\) |
0.986198 | − | 0.165570i | \(-0.0529463\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.05553 | + | 3.56028i | −0.0765520 | + | 0.132592i | ||||
\(722\) | 8.72611 | − | 15.1141i | 0.324752 | − | 0.562487i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1.77923 | − | 3.08171i | 0.0661245 | − | 0.114531i | ||||
\(725\) | −0.908823 | − | 1.57413i | −0.0337528 | − | 0.0584616i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −15.3481 | −0.569230 | −0.284615 | − | 0.958642i | \(-0.591866\pi\) | ||||
−0.284615 | + | 0.958642i | \(0.591866\pi\) | |||||||
\(728\) | 7.77002 | − | 7.67101i | 0.287976 | − | 0.284307i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −7.33235 | − | 12.7000i | −0.271382 | − | 0.470048i | ||||
\(731\) | −1.67833 | − | 2.90695i | −0.0620752 | − | 0.107517i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 23.2894 | 0.860213 | 0.430107 | − | 0.902778i | \(-0.358476\pi\) | ||||
0.430107 | + | 0.902778i | \(0.358476\pi\) | |||||||
\(734\) | 16.8481 | − | 29.1818i | 0.621875 | − | 1.07712i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.157782 | −0.00581593 | ||||||||
\(737\) | −1.41723 | + | 2.45472i | −0.0522045 | + | 0.0904208i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 5.13307 | + | 8.89074i | 0.188823 | + | 0.327051i | 0.944858 | − | 0.327480i | \(-0.106199\pi\) |
−0.756035 | + | 0.654531i | \(0.772866\pi\) | |||||||
\(740\) | −0.459168 | −0.0168794 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 7.06727 | 0.259447 | ||||||||
\(743\) | −22.6741 | − | 39.2726i | −0.831830 | − | 1.44077i | −0.896585 | − | 0.442871i | \(-0.853960\pi\) |
0.0647549 | − | 0.997901i | \(-0.479373\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.70129 | − | 4.67877i | 0.0989675 | − | 0.171417i | ||||
\(746\) | 2.71544 | 0.0994192 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.0477811 | + | 0.0827593i | −0.00174705 | + | 0.00302598i | ||||
\(749\) | −6.17058 | −0.225468 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 14.8057 | + | 25.6442i | 0.540266 | + | 0.935769i | 0.998888 | + | 0.0471372i | \(0.0150098\pi\) |
−0.458622 | + | 0.888631i | \(0.651657\pi\) | |||||||
\(752\) | −7.30471 | − | 12.6521i | −0.266375 | − | 0.461376i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −1.57059 | + | 1.55058i | −0.0571975 | + | 0.0564687i | ||||
\(755\) | 9.86971 | 0.359196 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 12.9908 | + | 22.5007i | 0.472158 | + | 0.817802i | 0.999492 | − | 0.0318559i | \(-0.0101418\pi\) |
−0.527334 | + | 0.849658i | \(0.676808\pi\) | |||||||
\(758\) | 8.88119 | − | 15.3827i | 0.322579 | − | 0.558724i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.84598 | + | 6.66144i | −0.139508 | + | 0.241636i | ||||
\(761\) | −27.0332 | + | 46.8229i | −0.979954 | + | 1.69733i | −0.317444 | + | 0.948277i | \(0.602824\pi\) |
−0.662510 | + | 0.749053i | \(0.730509\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −4.41084 | + | 7.63979i | −0.159683 | + | 0.276579i | ||||
\(764\) | 0.636945 | + | 1.10322i | 0.0230439 | + | 0.0399132i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 23.6999 | 0.856313 | ||||||||
\(767\) | 10.0707 | − | 9.94242i | 0.363633 | − | 0.359000i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −12.8967 | − | 22.3377i | −0.465066 | − | 0.805519i | 0.534138 | − | 0.845397i | \(-0.320636\pi\) |
−0.999205 | + | 0.0398785i | \(0.987303\pi\) | |||||||
\(770\) | −0.245194 | − | 0.424688i | −0.00883618 | − | 0.0153047i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −8.42020 | −0.303050 | ||||||||
\(773\) | −0.0608679 | + | 0.105426i | −0.00218927 | + | 0.00379192i | −0.867118 | − | 0.498103i | \(-0.834030\pi\) |
0.864929 | + | 0.501895i | \(0.167364\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 25.9407 | 0.931818 | ||||||||
\(776\) | 15.2979 | − | 26.4968i | 0.549163 | − | 0.951178i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −0.783503 | − | 1.35707i | −0.0280899 | − | 0.0486532i | ||||
\(779\) | −7.12656 | −0.255336 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.32486 | 0.118973 | ||||||||
\(782\) | −0.0346943 | − | 0.0600923i | −0.00124067 | − | 0.00214890i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 1.55166 | − | 2.68755i | 0.0554163 | − | 0.0959838i | ||||
\(785\) | −7.27579 | −0.259684 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 10.1108 | − | 17.5124i | 0.360410 | − | 0.624249i | −0.627618 | − | 0.778521i | \(-0.715970\pi\) |
0.988028 | + | 0.154273i | \(0.0493034\pi\) | |||||||
\(788\) | −9.60035 | −0.341998 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 12.0208 | + | 20.8207i | 0.427682 | + | 0.740767i | ||||
\(791\) | −6.00494 | − | 10.4009i | −0.213511 | − | 0.369812i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 14.2345 | − | 14.0531i | 0.505483 | − | 0.499042i | ||||
\(794\) | 37.7253 | 1.33882 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −4.21342 | − | 7.29786i | −0.149341 | − | 0.258666i | ||||
\(797\) | 16.2062 | − | 28.0700i | 0.574054 | − | 0.994291i | −0.422090 | − | 0.906554i | \(-0.638703\pi\) |
0.996144 | − | 0.0877365i | \(-0.0279634\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1.70915 | + | 2.96033i | −0.0604653 | + | 0.104729i | ||||
\(800\) | 3.97810 | − | 6.89027i | 0.140647 | − | 0.243608i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 5.21050 | − | 9.02485i | 0.183989 | − | 0.318679i | ||||
\(803\) | 1.82021 | + | 3.15270i | 0.0642338 | + | 0.111256i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.0827661 | −0.00291712 | ||||||||
\(806\) | −7.95705 | − | 30.4764i | −0.280275 | − | 1.07349i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −6.17018 | − | 10.6871i | −0.217066 | − | 0.375970i | ||||
\(809\) | 12.2314 | + | 21.1855i | 0.430035 | + | 0.744842i | 0.996876 | − | 0.0789852i | \(-0.0251680\pi\) |
−0.566841 | + | 0.823827i | \(0.691835\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −45.2448 | −1.58876 | −0.794380 | − | 0.607421i | \(-0.792204\pi\) | ||||
−0.794380 | + | 0.607421i | \(0.792204\pi\) | |||||||
\(812\) | 0.0906258 | − | 0.156969i | 0.00318034 | − | 0.00550852i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.490388 | −0.0171881 | ||||||||
\(815\) | −5.46384 | + | 9.46366i | −0.191390 | + | 0.331497i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 5.32127 | + | 9.21671i | 0.186168 | + | 0.322452i | ||||
\(818\) | 12.8246 | 0.448401 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.28829 | −0.0449890 | ||||||||
\(821\) | 18.3665 | + | 31.8118i | 0.640996 | + | 1.11024i | 0.985211 | + | 0.171347i | \(0.0548120\pi\) |
−0.344214 | + | 0.938891i | \(0.611855\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −21.3238 | + | 36.9339i | −0.743301 | + | 1.28743i | 0.207684 | + | 0.978196i | \(0.433408\pi\) |
−0.950984 | + | 0.309239i | \(0.899926\pi\) | |||||||
\(824\) | 12.4495 | 0.433699 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.50000 | − | 4.33013i | 0.0869861 | − | 0.150664i | ||||
\(827\) | 50.0635 | 1.74088 | 0.870440 | − | 0.492275i | \(-0.163834\pi\) | ||||
0.870440 | + | 0.492275i | \(0.163834\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −12.9455 | − | 22.4223i | −0.449617 | − | 0.778759i | 0.548744 | − | 0.835990i | \(-0.315106\pi\) |
−0.998361 | + | 0.0572312i | \(0.981773\pi\) | |||||||
\(830\) | 8.37278 | + | 14.5021i | 0.290623 | + | 0.503374i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −30.8935 | − | 8.49056i | −1.07104 | − | 0.294357i | ||||
\(833\) | −0.726109 | −0.0251582 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 9.24384 | + | 16.0108i | 0.319896 | + | 0.554077i | ||||
\(836\) | 0.151494 | − | 0.262395i | 0.00523952 | − | 0.00907512i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 6.02548 | − | 10.4364i | 0.208147 | − | 0.360521i | ||||
\(839\) | −14.4674 | + | 25.0583i | −0.499471 | + | 0.865109i | −1.00000 | 0.000610619i | \(-0.999806\pi\) | |
0.500529 | + | 0.865720i | \(0.333139\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.3846 | − | 24.9148i | 0.496019 | − | 0.859130i | ||||
\(842\) | −19.7863 | − | 34.2709i | −0.681880 | − | 1.18105i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −3.78643 | −0.130334 | ||||||||
\(845\) | −12.3285 | − | 7.33022i | −0.424112 | − | 0.252167i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.43913 | − | 9.42085i | −0.186891 | − | 0.323704i | ||||
\(848\) | −8.60825 | − | 14.9099i | −0.295608 | − | 0.512009i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 3.49894 | 0.120013 | ||||||||
\(851\) | −0.0413831 | + | 0.0716776i | −0.00141859 | + | 0.00245708i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 40.3094 | 1.38017 | 0.690083 | − | 0.723730i | \(-0.257574\pi\) | ||||
0.690083 | + | 0.723730i | \(0.257574\pi\) | |||||||
\(854\) | 3.53363 | − | 6.12043i | 0.120918 | − | 0.209437i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 9.34317 | + | 16.1828i | 0.319343 | + | 0.553118i | ||||
\(857\) | −40.0459 | −1.36794 | −0.683971 | − | 0.729509i | \(-0.739749\pi\) | ||||
−0.683971 | + | 0.729509i | \(0.739749\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 6.66659 | 0.227461 | 0.113731 | − | 0.993512i | \(-0.463720\pi\) | ||||
0.113731 | + | 0.993512i | \(0.463720\pi\) | |||||||
\(860\) | 0.961941 | + | 1.66613i | 0.0328019 | + | 0.0568146i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −16.0629 | + | 27.8217i | −0.547104 | + | 0.947612i | ||||
\(863\) | 5.85289 | 0.199235 | 0.0996174 | − | 0.995026i | \(-0.468238\pi\) | ||||
0.0996174 | + | 0.995026i | \(0.468238\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −7.56782 | + | 13.1078i | −0.257314 | + | 0.445680i | ||||
\(866\) | 4.80245 | 0.163194 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.29338 | + | 2.24019i | 0.0439000 | + | 0.0760371i | ||||
\(869\) | −2.98410 | − | 5.16861i | −0.101229 | − | 0.175333i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.39950 | + | 28.3409i | 0.250723 | + | 0.960296i | ||||
\(872\) | 26.7146 | 0.904672 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.110001 | + | 0.190527i | 0.00372084 | + | 0.00644469i | ||||
\(875\) | 4.84503 | − | 8.39184i | 0.163792 | − | 0.283696i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −2.18367 | + | 3.78222i | −0.0737371 | + | 0.127716i | −0.900536 | − | 0.434781i | \(-0.856826\pi\) |
0.826799 | + | 0.562497i | \(0.190159\pi\) | |||||||
\(878\) | 14.4171 | − | 24.9712i | 0.486554 | − | 0.842737i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.597315 | + | 1.03458i | −0.0201355 | + | 0.0348757i | ||||
\(881\) | 1.57366 | + | 2.72567i | 0.0530181 | + | 0.0918300i | 0.891316 | − | 0.453382i | \(-0.149783\pi\) |
−0.838298 | + | 0.545212i | \(0.816449\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 14.9554 | 0.503289 | 0.251645 | − | 0.967820i | \(-0.419029\pi\) | ||||
0.251645 | + | 0.967820i | \(0.419029\pi\) | |||||||
\(884\) | 0.249469 | + | 0.955496i | 0.00839056 | + | 0.0321368i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 2.95756 | + | 5.12264i | 0.0993610 | + | 0.172098i | ||||
\(887\) | 11.2632 | + | 19.5085i | 0.378182 | + | 0.655030i | 0.990798 | − | 0.135351i | \(-0.0432161\pi\) |
−0.612616 | + | 0.790381i | \(0.709883\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 5.85772 | 0.196462 | ||||||||
\(890\) | 8.40561 | − | 14.5589i | 0.281757 | − | 0.488017i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 1.93676 | 0.0648475 | ||||||||
\(893\) | 5.41899 | − | 9.38596i | 0.181339 | − | 0.314089i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 12.1532 | + | 21.0500i | 0.406237 | + | 0.703623i | ||||
\(896\) | −7.11319 | −0.237635 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −12.0040 | −0.400580 | ||||||||
\(899\) | −1.64762 | − | 2.85376i | −0.0549512 | − | 0.0951782i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −2.01415 | + | 3.48861i | −0.0671010 | + | 0.116222i | ||||
\(902\) | −1.37588 | −0.0458118 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −18.1847 | + | 31.4969i | −0.604815 | + | 1.04757i | ||||
\(905\) | −10.4084 | −0.345988 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 9.32661 | + | 16.1542i | 0.309685 | + | 0.536390i | 0.978293 | − | 0.207225i | \(-0.0664431\pi\) |
−0.668608 | + | 0.743615i | \(0.733110\pi\) | |||||||
\(908\) | 5.46395 | + | 9.46385i | 0.181328 | + | 0.314069i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −4.88641 | − | 1.34295i | −0.161983 | − | 0.0445183i | ||||
\(911\) | −18.3278 | −0.607226 | −0.303613 | − | 0.952795i | \(-0.598193\pi\) | ||||
−0.303613 | + | 0.952795i | \(0.598193\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −2.07849 | − | 3.60005i | −0.0687880 | − | 0.119144i | ||||
\(914\) | −8.09955 | + | 14.0288i | −0.267909 | + | 0.464032i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.128134 | − | 0.221934i | 0.00423366 | − | 0.00733292i | ||||
\(917\) | −11.2027 | + | 19.4037i | −0.369947 | + | 0.640768i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −7.55272 | + | 13.0817i | −0.249141 | + | 0.431525i | −0.963288 | − | 0.268471i | \(-0.913482\pi\) |
0.714147 | + | 0.699996i | \(0.246815\pi\) | |||||||
\(920\) | 0.125320 | + | 0.217061i | 0.00413168 | + | 0.00715629i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 37.8668 | 1.24708 | ||||||||
\(923\) | 24.4505 | − | 24.1389i | 0.804797 | − | 0.794542i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.08675 | − | 3.61436i | −0.0686119 | − | 0.118839i | ||||
\(926\) | 9.73492 | + | 16.8614i | 0.319909 | + | 0.554099i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.01067 | −0.0331770 | ||||||||
\(929\) | −3.12909 | + | 5.41974i | −0.102662 | + | 0.177816i | −0.912781 | − | 0.408450i | \(-0.866069\pi\) |
0.810119 | + | 0.586266i | \(0.199403\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.30219 | 0.0754511 | ||||||||
\(932\) | 3.45182 | − | 5.97873i | 0.113068 | − | 0.195840i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −16.9748 | − | 29.4012i | −0.555432 | − | 0.962036i | ||||
\(935\) | 0.279518 | 0.00914121 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −22.6610 | −0.740301 | −0.370151 | − | 0.928972i | \(-0.620694\pi\) | ||||
−0.370151 | + | 0.928972i | \(0.620694\pi\) | |||||||
\(938\) | 5.17445 | + | 8.96242i | 0.168952 | + | 0.292633i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.979605 | − | 1.69673i | 0.0319512 | − | 0.0553411i | ||||
\(941\) | −17.2944 | −0.563783 | −0.281891 | − | 0.959446i | \(-0.590962\pi\) | ||||
−0.281891 | + | 0.959446i | \(0.590962\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.116108 | + | 0.201106i | −0.00378101 | + | 0.00654890i | ||||
\(944\) | −12.1805 | −0.396440 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.02734 | + | 1.77941i | 0.0334019 | + | 0.0578537i | ||||
\(947\) | −13.8061 | − | 23.9128i | −0.448637 | − | 0.777062i | 0.549661 | − | 0.835388i | \(-0.314757\pi\) |
−0.998298 | + | 0.0583263i | \(0.981424\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 36.2746 | + | 9.96945i | 1.17752 | + | 0.323622i | ||||
\(950\) | −11.0937 | −0.359926 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.09944 | + | 1.90428i | 0.0356330 | + | 0.0617181i | ||||
\(953\) | 2.19540 | − | 3.80254i | 0.0711160 | − | 0.123176i | −0.828275 | − | 0.560322i | \(-0.810677\pi\) |
0.899391 | + | 0.437146i | \(0.144011\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.86305 | − | 3.22691i | 0.0602870 | − | 0.104420i | ||||
\(956\) | 1.02830 | − | 1.78106i | 0.0332575 | − | 0.0576036i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −14.1476 | + | 24.5044i | −0.457089 | + | 0.791701i | ||||
\(959\) | −10.1044 | − | 17.5013i | −0.326287 | − | 0.565146i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 16.0283 | 0.517042 | ||||||||
\(962\) | −3.60624 | + | 3.56028i | −0.116270 | + | 0.114788i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −2.91617 | − | 5.05096i | −0.0939236 | − | 0.162680i | ||||
\(965\) | 12.3145 | + | 21.3293i | 0.396417 | + | 0.686614i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −18.4875 | −0.594517 | −0.297258 | − | 0.954797i | \(-0.596072\pi\) | ||||
−0.297258 | + | 0.954797i | \(0.596072\pi\) | |||||||
\(968\) | −16.4713 | + | 28.5291i | −0.529408 | + | 0.916961i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −14.2002 | −0.455941 | ||||||||
\(971\) | −26.1687 | + | 45.3255i | −0.839794 | + | 1.45457i | 0.0502726 | + | 0.998736i | \(0.483991\pi\) |
−0.890067 | + | 0.455830i | \(0.849342\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 2.13695 | + | 3.70130i | 0.0685073 | + | 0.118658i | ||||
\(974\) | −1.23784 | −0.0396631 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −17.2165 | −0.551087 | ||||||||
\(977\) | 25.8223 | + | 44.7256i | 0.826130 | + | 1.43090i | 0.901053 | + | 0.433709i | \(0.142795\pi\) |
−0.0749233 | + | 0.997189i | \(0.523871\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.08664 | + | 3.61417i | −0.0666893 | + | 0.115509i | ||||
\(980\) | 0.416173 | 0.0132941 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 17.1560 | − | 29.7151i | 0.547471 | − | 0.948247i | ||||
\(983\) | −37.5419 | −1.19740 | −0.598701 | − | 0.800973i | \(-0.704316\pi\) | ||||
−0.598701 | + | 0.800973i | \(0.704316\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 14.0404 | + | 24.3187i | 0.447365 | + | 0.774860i | ||||
\(986\) | −0.222234 | − | 0.384921i | −0.00707739 | − | 0.0122584i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.790962 | − | 3.02948i | −0.0251639 | − | 0.0963805i | ||||
\(989\) | 0.346784 | 0.0110271 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 25.2862 | + | 43.7969i | 0.803242 | + | 1.39126i | 0.917472 | + | 0.397801i | \(0.130227\pi\) |
−0.114230 | + | 0.993454i | \(0.536440\pi\) | |||||||
\(992\) | 7.21196 | − | 12.4915i | 0.228980 | − | 0.396605i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 6.06968 | − | 10.5130i | 0.192519 | − | 0.333452i | ||||
\(995\) | −12.3242 | + | 21.3461i | −0.390703 | + | 0.676718i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 12.9610 | − | 22.4492i | 0.410480 | − | 0.710972i | −0.584462 | − | 0.811421i | \(-0.698695\pi\) |
0.994942 | + | 0.100449i | \(0.0320278\pi\) | |||||||
\(998\) | 13.4547 | + | 23.3043i | 0.425902 | + | 0.737685i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 819.2.o.d.757.2 | 6 | ||
3.2 | odd | 2 | 273.2.k.d.211.2 | yes | 6 | ||
13.9 | even | 3 | inner | 819.2.o.d.568.2 | 6 | ||
39.23 | odd | 6 | 3549.2.a.s.1.2 | 3 | |||
39.29 | odd | 6 | 3549.2.a.h.1.2 | 3 | |||
39.35 | odd | 6 | 273.2.k.d.22.2 | ✓ | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.k.d.22.2 | ✓ | 6 | 39.35 | odd | 6 | ||
273.2.k.d.211.2 | yes | 6 | 3.2 | odd | 2 | ||
819.2.o.d.568.2 | 6 | 13.9 | even | 3 | inner | ||
819.2.o.d.757.2 | 6 | 1.1 | even | 1 | trivial | ||
3549.2.a.h.1.2 | 3 | 39.29 | odd | 6 | |||
3549.2.a.s.1.2 | 3 | 39.23 | odd | 6 |