Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(109,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 7, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.v (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 109.6 | ||
Character | \(\chi\) | \(=\) | 864.109 |
Dual form | 864.2.v.a.325.6 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{7}{8}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.18499 | + | 0.771885i | −0.837912 | + | 0.545805i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.808388 | − | 1.82935i | 0.404194 | − | 0.914673i | ||||
\(5\) | −0.796479 | + | 0.329912i | −0.356196 | + | 0.147541i | −0.553604 | − | 0.832780i | \(-0.686748\pi\) |
0.197408 | + | 0.980321i | \(0.436748\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.41414 | − | 3.41414i | 1.29042 | − | 1.29042i | 0.355897 | − | 0.934525i | \(-0.384175\pi\) |
0.934525 | − | 0.355897i | \(-0.115825\pi\) | |||||||
\(8\) | 0.454114 | + | 2.79173i | 0.160554 | + | 0.987027i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.689163 | − | 1.00573i | 0.217932 | − | 0.318040i | ||||
\(11\) | −0.811278 | − | 1.95860i | −0.244609 | − | 0.590539i | 0.753120 | − | 0.657883i | \(-0.228548\pi\) |
−0.997730 | + | 0.0673433i | \(0.978548\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.44869 | − | 1.42849i | −0.956493 | − | 0.396193i | −0.150826 | − | 0.988560i | \(-0.548193\pi\) |
−0.805668 | + | 0.592368i | \(0.798193\pi\) | |||||||
\(14\) | −1.41039 | + | 6.68103i | −0.376942 | + | 1.78558i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.69302 | − | 2.95764i | −0.673254 | − | 0.739411i | ||||
\(17\) | − | 5.12913i | − | 1.24400i | −0.783018 | − | 0.621999i | \(-0.786321\pi\) | ||
0.783018 | − | 0.621999i | \(-0.213679\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.84398 | + | 0.763801i | 0.423038 | + | 0.175228i | 0.584038 | − | 0.811726i | \(-0.301472\pi\) |
−0.161000 | + | 0.986954i | \(0.551472\pi\) | |||||||
\(20\) | −0.0403403 | + | 1.72373i | −0.00902037 | + | 0.385438i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.47316 | + | 1.69470i | 0.527280 | + | 0.361311i | ||||
\(23\) | −0.655049 | − | 0.655049i | −0.136587 | − | 0.136587i | 0.635508 | − | 0.772095i | \(-0.280791\pi\) |
−0.772095 | + | 0.635508i | \(0.780791\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.01000 | + | 3.01000i | −0.602000 | + | 0.602000i | ||||
\(26\) | 5.18928 | − | 0.969242i | 1.01770 | − | 0.190084i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −3.48569 | − | 9.00559i | −0.658734 | − | 1.70190i | ||||
\(29\) | −3.09893 | + | 7.48148i | −0.575457 | + | 1.38928i | 0.321394 | + | 0.946945i | \(0.395848\pi\) |
−0.896852 | + | 0.442331i | \(0.854152\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.46197 | −1.34021 | −0.670104 | − | 0.742267i | \(-0.733751\pi\) | ||||
−0.670104 | + | 0.742267i | \(0.733751\pi\) | |||||||
\(32\) | 5.47415 | + | 1.42607i | 0.967702 | + | 0.252096i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.95910 | + | 6.07796i | 0.678980 | + | 1.04236i | ||||
\(35\) | −1.59292 | + | 3.84565i | −0.269253 | + | 0.650034i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.04147 | − | 0.431390i | 0.171216 | − | 0.0709201i | −0.295429 | − | 0.955365i | \(-0.595463\pi\) |
0.466645 | + | 0.884445i | \(0.345463\pi\) | |||||||
\(38\) | −2.77466 | + | 0.518245i | −0.450109 | + | 0.0840704i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.28272 | − | 2.07374i | −0.202816 | − | 0.327887i | ||||
\(41\) | −7.85358 | − | 7.85358i | −1.22652 | − | 1.22652i | −0.965270 | − | 0.261253i | \(-0.915864\pi\) |
−0.261253 | − | 0.965270i | \(-0.584136\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.55013 | + | 3.74235i | 0.236393 | + | 0.570703i | 0.996905 | − | 0.0786213i | \(-0.0250518\pi\) |
−0.760512 | + | 0.649324i | \(0.775052\pi\) | |||||||
\(44\) | −4.23878 | − | 0.0991997i | −0.639020 | − | 0.0149549i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.28185 | + | 0.270602i | 0.188998 | + | 0.0398981i | ||||
\(47\) | − | 8.53070i | − | 1.24433i | −0.782886 | − | 0.622165i | \(-0.786253\pi\) | ||
0.782886 | − | 0.622165i | \(-0.213747\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 16.3127i | − | 2.33038i | ||||||
\(50\) | 1.24344 | − | 5.89018i | 0.175849 | − | 0.832997i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −5.40108 | + | 5.15406i | −0.748996 | + | 0.714740i | ||||
\(53\) | 2.21888 | + | 5.35684i | 0.304786 | + | 0.735818i | 0.999858 | + | 0.0168778i | \(0.00537263\pi\) |
−0.695072 | + | 0.718940i | \(0.744627\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.29233 | + | 1.29233i | 0.174258 | + | 0.174258i | ||||
\(56\) | 11.0818 | + | 7.98095i | 1.48086 | + | 1.06650i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.10265 | − | 11.2575i | −0.276091 | − | 1.47818i | ||||
\(59\) | −3.55676 | + | 1.47326i | −0.463050 | + | 0.191802i | −0.601997 | − | 0.798498i | \(-0.705628\pi\) |
0.138947 | + | 0.990300i | \(0.455628\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.53850 | − | 13.3711i | 0.709132 | − | 1.71200i | 0.00697220 | − | 0.999976i | \(-0.497781\pi\) |
0.702160 | − | 0.712020i | \(-0.252219\pi\) | |||||||
\(62\) | 8.84233 | − | 5.75978i | 1.12298 | − | 0.731492i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.58756 | + | 2.53553i | −0.948445 | + | 0.316942i | ||||
\(65\) | 3.21808 | 0.399154 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.49796 | − | 3.61639i | 0.183005 | − | 0.441813i | −0.805578 | − | 0.592489i | \(-0.798145\pi\) |
0.988583 | + | 0.150677i | \(0.0481453\pi\) | |||||||
\(68\) | −9.38296 | − | 4.14633i | −1.13785 | − | 0.502817i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.08081 | − | 5.78660i | −0.129181 | − | 0.691631i | ||||
\(71\) | 3.65387 | − | 3.65387i | 0.433635 | − | 0.433635i | −0.456228 | − | 0.889863i | \(-0.650800\pi\) |
0.889863 | + | 0.456228i | \(0.150800\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.36736 | − | 1.36736i | −0.160038 | − | 0.160038i | 0.622546 | − | 0.782583i | \(-0.286098\pi\) |
−0.782583 | + | 0.622546i | \(0.786098\pi\) | |||||||
\(74\) | −0.901143 | + | 1.31508i | −0.104756 | + | 0.152875i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.88791 | − | 2.75583i | 0.331266 | − | 0.316115i | ||||
\(77\) | −9.45673 | − | 3.91711i | −1.07769 | − | 0.446396i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 9.69095i | 1.09032i | 0.838333 | + | 0.545158i | \(0.183530\pi\) | ||||
−0.838333 | + | 0.545158i | \(0.816470\pi\) | |||||||
\(80\) | 3.12069 | + | 1.46724i | 0.348904 | + | 0.164043i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 15.3684 | + | 3.24433i | 1.69716 | + | 0.358277i | ||||
\(83\) | −1.86485 | − | 0.772448i | −0.204694 | − | 0.0847871i | 0.277981 | − | 0.960587i | \(-0.410335\pi\) |
−0.482675 | + | 0.875799i | \(0.660335\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.69216 | + | 4.08525i | 0.183541 | + | 0.443107i | ||||
\(86\) | −4.72555 | − | 3.23811i | −0.509569 | − | 0.349175i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 5.09947 | − | 3.15430i | 0.543605 | − | 0.336249i | ||||
\(89\) | 9.11861 | − | 9.11861i | 0.966571 | − | 0.966571i | −0.0328878 | − | 0.999459i | \(-0.510470\pi\) |
0.999459 | + | 0.0328878i | \(0.0104704\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −16.6514 | + | 6.89722i | −1.74554 | + | 0.723025i | ||||
\(92\) | −1.72785 | + | 0.668777i | −0.180140 | + | 0.0697249i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 6.58472 | + | 10.1088i | 0.679162 | + | 1.04264i | ||||
\(95\) | −1.72068 | −0.176538 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 15.7002 | 1.59412 | 0.797059 | − | 0.603901i | \(-0.206388\pi\) | ||||
0.797059 | + | 0.603901i | \(0.206388\pi\) | |||||||
\(98\) | 12.5915 | + | 19.3303i | 1.27193 | + | 1.95265i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.07308 | + | 7.93958i | 0.307308 | + | 0.793958i | ||||
\(101\) | 3.71071 | − | 1.53702i | 0.369229 | − | 0.152940i | −0.190351 | − | 0.981716i | \(-0.560963\pi\) |
0.559580 | + | 0.828776i | \(0.310963\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.42846 | + | 2.42846i | −0.239283 | + | 0.239283i | −0.816553 | − | 0.577270i | \(-0.804118\pi\) |
0.577270 | + | 0.816553i | \(0.304118\pi\) | |||||||
\(104\) | 2.42187 | − | 10.2765i | 0.237484 | − | 1.00770i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.76420 | − | 4.63507i | −0.656997 | − | 0.450198i | ||||
\(107\) | −0.754155 | − | 1.82069i | −0.0729069 | − | 0.176013i | 0.883225 | − | 0.468950i | \(-0.155367\pi\) |
−0.956132 | + | 0.292937i | \(0.905367\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.496041 | + | 0.205467i | 0.0475121 | + | 0.0196802i | 0.406313 | − | 0.913734i | \(-0.366814\pi\) |
−0.358801 | + | 0.933414i | \(0.616814\pi\) | |||||||
\(110\) | −2.52893 | − | 0.533865i | −0.241124 | − | 0.0509020i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −19.2921 | − | 0.903478i | −1.82293 | − | 0.0853706i | ||||
\(113\) | − | 5.54357i | − | 0.521495i | −0.965407 | − | 0.260747i | \(-0.916031\pi\) | ||
0.965407 | − | 0.260747i | \(-0.0839690\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.737841 | + | 0.305624i | 0.0688040 | + | 0.0284996i | ||||
\(116\) | 11.1811 | + | 11.7170i | 1.03814 | + | 1.08789i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.07753 | − | 4.49120i | 0.283309 | − | 0.413448i | ||||
\(119\) | −17.5116 | − | 17.5116i | −1.60528 | − | 1.60528i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.60024 | − | 4.60024i | 0.418204 | − | 0.418204i | ||||
\(122\) | 3.75791 | + | 20.1197i | 0.340225 | + | 1.82155i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −6.03217 | + | 13.6505i | −0.541705 | + | 1.22585i | ||||
\(125\) | 3.05393 | − | 7.37283i | 0.273151 | − | 0.659446i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −16.3887 | −1.45426 | −0.727131 | − | 0.686499i | \(-0.759147\pi\) | ||||
−0.727131 | + | 0.686499i | \(0.759147\pi\) | |||||||
\(128\) | 7.03402 | − | 8.86130i | 0.621725 | − | 0.783235i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.81339 | + | 2.48399i | −0.334456 | + | 0.217860i | ||||
\(131\) | 6.49987 | − | 15.6921i | 0.567896 | − | 1.37102i | −0.335429 | − | 0.942066i | \(-0.608881\pi\) |
0.903325 | − | 0.428957i | \(-0.141119\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 8.90332 | − | 3.68787i | 0.772016 | − | 0.319779i | ||||
\(134\) | 1.01638 | + | 5.44163i | 0.0878015 | + | 0.470085i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 14.3192 | − | 2.32921i | 1.22786 | − | 0.199728i | ||||
\(137\) | 1.13040 | + | 1.13040i | 0.0965770 | + | 0.0965770i | 0.753745 | − | 0.657168i | \(-0.228246\pi\) |
−0.657168 | + | 0.753745i | \(0.728246\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.78620 | + | 13.9691i | 0.490779 | + | 1.18485i | 0.954324 | + | 0.298772i | \(0.0965770\pi\) |
−0.463546 | + | 0.886073i | \(0.653423\pi\) | |||||||
\(140\) | 5.74733 | + | 6.02279i | 0.485738 | + | 0.509018i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.50942 | + | 7.15016i | −0.126668 | + | 0.600028i | ||||
\(143\) | 7.91349i | 0.661759i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 6.98122i | − | 0.579759i | ||||||
\(146\) | 2.67575 | + | 0.564860i | 0.221447 | + | 0.0467482i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.0527486 | − | 2.25394i | 0.00433591 | − | 0.185272i | ||||
\(149\) | −4.69891 | − | 11.3442i | −0.384950 | − | 0.929352i | −0.990992 | − | 0.133919i | \(-0.957244\pi\) |
0.606042 | − | 0.795432i | \(-0.292756\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.45669 | + | 6.45669i | 0.525438 | + | 0.525438i | 0.919209 | − | 0.393771i | \(-0.128830\pi\) |
−0.393771 | + | 0.919209i | \(0.628830\pi\) | |||||||
\(152\) | −1.29495 | + | 5.49475i | −0.105034 | + | 0.445683i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 14.2297 | − | 2.65778i | 1.14666 | − | 0.214170i | ||||
\(155\) | 5.94330 | − | 2.46179i | 0.477377 | − | 0.197736i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.69075 | + | 11.3245i | −0.374362 | + | 0.903791i | 0.618638 | + | 0.785676i | \(0.287685\pi\) |
−0.993000 | + | 0.118114i | \(0.962315\pi\) | |||||||
\(158\) | −7.48029 | − | 11.4836i | −0.595100 | − | 0.913590i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −4.83052 | + | 0.670153i | −0.381886 | + | 0.0529802i | ||||
\(161\) | −4.47285 | −0.352510 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.67653 | + | 4.04751i | −0.131316 | + | 0.317026i | −0.975838 | − | 0.218496i | \(-0.929885\pi\) |
0.844522 | + | 0.535522i | \(0.179885\pi\) | |||||||
\(164\) | −20.7157 | + | 8.01818i | −1.61762 | + | 0.626114i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.80607 | − | 0.524111i | 0.217793 | − | 0.0406789i | ||||
\(167\) | −13.1383 | + | 13.1383i | −1.01667 | + | 1.01667i | −0.0168127 | + | 0.999859i | \(0.505352\pi\) |
−0.999859 | + | 0.0168127i | \(0.994648\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.660455 | + | 0.660455i | 0.0508042 | + | 0.0508042i | ||||
\(170\) | −5.15853 | − | 3.53481i | −0.395641 | − | 0.271107i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 8.09916 | + | 0.189544i | 0.617555 | + | 0.0144526i | ||||
\(173\) | −0.199667 | − | 0.0827046i | −0.0151804 | − | 0.00628791i | 0.375080 | − | 0.926992i | \(-0.377615\pi\) |
−0.390261 | + | 0.920704i | \(0.627615\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 20.5531i | 1.55367i | ||||||||
\(176\) | −3.60805 | + | 7.67401i | −0.271967 | + | 0.578450i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −3.76692 | + | 17.8440i | −0.282343 | + | 1.33746i | ||||
\(179\) | 19.2636 | + | 7.97926i | 1.43983 | + | 0.596398i | 0.959757 | − | 0.280831i | \(-0.0906099\pi\) |
0.480074 | + | 0.877228i | \(0.340610\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.70588 | − | 18.6036i | −0.572773 | − | 1.38280i | −0.899185 | − | 0.437569i | \(-0.855839\pi\) |
0.326411 | − | 0.945228i | \(-0.394161\pi\) | |||||||
\(182\) | 14.4078 | − | 21.0260i | 1.06798 | − | 1.55855i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.53126 | − | 2.12619i | 0.112886 | − | 0.156745i | ||||
\(185\) | −0.687186 | + | 0.687186i | −0.0505229 | + | 0.0505229i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −10.0459 | + | 4.16115i | −0.734629 | + | 0.304293i | ||||
\(188\) | −15.6056 | − | 6.89612i | −1.13816 | − | 0.502951i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.03898 | − | 1.32816i | 0.147923 | − | 0.0963552i | ||||
\(191\) | −4.18542 | −0.302846 | −0.151423 | − | 0.988469i | \(-0.548386\pi\) | ||||
−0.151423 | + | 0.988469i | \(0.548386\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 12.7503 | 0.917788 | 0.458894 | − | 0.888491i | \(-0.348246\pi\) | ||||
0.458894 | + | 0.888491i | \(0.348246\pi\) | |||||||
\(194\) | −18.6046 | + | 12.1188i | −1.33573 | + | 0.870077i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −29.8415 | − | 13.1870i | −2.13154 | − | 0.941926i | ||||
\(197\) | −23.7046 | + | 9.81875i | −1.68888 | + | 0.699557i | −0.999687 | − | 0.0250215i | \(-0.992035\pi\) |
−0.689193 | + | 0.724578i | \(0.742035\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.70090 | − | 1.70090i | 0.120574 | − | 0.120574i | −0.644245 | − | 0.764819i | \(-0.722828\pi\) |
0.764819 | + | 0.644245i | \(0.222828\pi\) | |||||||
\(200\) | −9.77000 | − | 7.03623i | −0.690843 | − | 0.497537i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.21073 | + | 4.68559i | −0.225906 | + | 0.329677i | ||||
\(203\) | 14.9626 | + | 36.1230i | 1.05017 | + | 2.53534i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 8.84620 | + | 3.66422i | 0.617846 | + | 0.255920i | ||||
\(206\) | 1.00320 | − | 4.75218i | 0.0698964 | − | 0.331100i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 5.06239 | + | 14.0469i | 0.351014 | + | 0.973980i | ||||
\(209\) | − | 4.23127i | − | 0.292683i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.62230 | + | 1.50041i | 0.249370 | + | 0.103292i | 0.503867 | − | 0.863781i | \(-0.331910\pi\) |
−0.254498 | + | 0.967073i | \(0.581910\pi\) | |||||||
\(212\) | 11.5932 | + | 0.271315i | 0.796226 | + | 0.0186340i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.29903 | + | 1.57537i | 0.157158 | + | 0.107690i | ||||
\(215\) | −2.46929 | − | 2.46929i | −0.168404 | − | 0.168404i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −25.4762 | + | 25.4762i | −1.72944 | + | 1.72944i | ||||
\(218\) | −0.746399 | + | 0.139411i | −0.0505525 | + | 0.00944209i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 3.40883 | − | 1.31942i | 0.229823 | − | 0.0889550i | ||||
\(221\) | −7.32693 | + | 17.6888i | −0.492863 | + | 1.18988i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 21.0777 | 1.41147 | 0.705735 | − | 0.708476i | \(-0.250617\pi\) | ||||
0.705735 | + | 0.708476i | \(0.250617\pi\) | |||||||
\(224\) | 23.5583 | − | 13.8207i | 1.57406 | − | 0.923434i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 4.27899 | + | 6.56905i | 0.284634 | + | 0.436967i | ||||
\(227\) | −4.27989 | + | 10.3326i | −0.284066 | + | 0.685796i | −0.999922 | − | 0.0124513i | \(-0.996037\pi\) |
0.715856 | + | 0.698248i | \(0.246037\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −12.2828 | + | 5.08771i | −0.811671 | + | 0.336205i | −0.749621 | − | 0.661868i | \(-0.769764\pi\) |
−0.0620505 | + | 0.998073i | \(0.519764\pi\) | |||||||
\(230\) | −1.11024 | + | 0.207368i | −0.0732070 | + | 0.0136734i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −22.2936 | − | 5.25394i | −1.46365 | − | 0.344938i | ||||
\(233\) | 20.3969 | + | 20.3969i | 1.33624 | + | 1.33624i | 0.899667 | + | 0.436577i | \(0.143809\pi\) |
0.436577 | + | 0.899667i | \(0.356191\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.81438 | + | 6.79452i | 0.183590 | + | 0.443226i | ||||
\(236\) | −0.180144 | + | 7.69751i | −0.0117264 | + | 0.501065i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 34.2679 | + | 7.23407i | 2.22126 | + | 0.468915i | ||||
\(239\) | − | 14.5221i | − | 0.939359i | −0.882837 | − | 0.469680i | \(-0.844369\pi\) | ||
0.882837 | − | 0.469680i | \(-0.155631\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 7.44892i | − | 0.479827i | −0.970794 | − | 0.239914i | \(-0.922881\pi\) | ||
0.970794 | − | 0.239914i | \(-0.0771191\pi\) | |||||||
\(242\) | −1.90037 | + | 9.00208i | −0.122161 | + | 0.578676i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −19.9831 | − | 20.9409i | −1.27929 | − | 1.34060i | ||||
\(245\) | 5.38175 | + | 12.9927i | 0.343827 | + | 0.830072i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.26822 | − | 5.26822i | −0.335209 | − | 0.335209i | ||||
\(248\) | −3.38859 | − | 20.8318i | −0.215175 | − | 1.32282i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.07211 | + | 11.0940i | 0.131052 | + | 0.701645i | ||||
\(251\) | 15.2305 | − | 6.30867i | 0.961339 | − | 0.398200i | 0.153858 | − | 0.988093i | \(-0.450830\pi\) |
0.807481 | + | 0.589893i | \(0.200830\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.751550 | + | 1.81440i | −0.0472496 | + | 0.114071i | ||||
\(254\) | 19.4204 | − | 12.6502i | 1.21854 | − | 0.793743i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −1.49533 | + | 15.9300i | −0.0934579 | + | 0.995623i | ||||
\(257\) | 20.4112 | 1.27321 | 0.636606 | − | 0.771189i | \(-0.280338\pi\) | ||||
0.636606 | + | 0.771189i | \(0.280338\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.08289 | − | 5.02854i | 0.129424 | − | 0.312458i | ||||
\(260\) | 2.60146 | − | 5.88699i | 0.161336 | − | 0.365095i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 4.41021 | + | 23.6120i | 0.272464 | + | 1.45876i | ||||
\(263\) | −12.7243 | + | 12.7243i | −0.784617 | + | 0.784617i | −0.980606 | − | 0.195989i | \(-0.937208\pi\) |
0.195989 | + | 0.980606i | \(0.437208\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.53457 | − | 3.53457i | −0.217127 | − | 0.217127i | ||||
\(266\) | −7.70370 | + | 11.2424i | −0.472344 | + | 0.689317i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −5.40470 | − | 5.66373i | −0.330145 | − | 0.345968i | ||||
\(269\) | 9.30185 | + | 3.85295i | 0.567144 | + | 0.234919i | 0.647783 | − | 0.761825i | \(-0.275696\pi\) |
−0.0806395 | + | 0.996743i | \(0.525696\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 16.5614i | 1.00603i | 0.864277 | + | 0.503016i | \(0.167776\pi\) | ||||
−0.864277 | + | 0.503016i | \(0.832224\pi\) | |||||||
\(272\) | −15.1702 | + | 13.8128i | −0.919826 | + | 0.837526i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.21206 | − | 0.466973i | −0.133635 | − | 0.0282109i | ||||
\(275\) | 8.33732 | + | 3.45343i | 0.502759 | + | 0.208250i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −8.16236 | − | 19.7057i | −0.490428 | − | 1.18400i | −0.954503 | − | 0.298203i | \(-0.903613\pi\) |
0.464074 | − | 0.885796i | \(-0.346387\pi\) | |||||||
\(278\) | −17.6391 | − | 12.0869i | −1.05792 | − | 0.724927i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −11.4594 | − | 2.70065i | −0.684831 | − | 0.161395i | ||||
\(281\) | 5.12450 | − | 5.12450i | 0.305702 | − | 0.305702i | −0.537538 | − | 0.843240i | \(-0.680645\pi\) |
0.843240 | + | 0.537538i | \(0.180645\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.24987 | + | 3.41721i | −0.490404 | + | 0.203132i | −0.614161 | − | 0.789181i | \(-0.710506\pi\) |
0.123757 | + | 0.992312i | \(0.460506\pi\) | |||||||
\(284\) | −3.73045 | − | 9.63795i | −0.221362 | − | 0.571907i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.10830 | − | 9.37738i | −0.361191 | − | 0.554496i | ||||
\(287\) | −53.6264 | −3.16547 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −9.30801 | −0.547530 | ||||||||
\(290\) | 5.38870 | + | 8.27265i | 0.316435 | + | 0.485787i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.60674 | + | 1.39602i | −0.211068 | + | 0.0816958i | ||||
\(293\) | −7.39341 | + | 3.06245i | −0.431928 | + | 0.178910i | −0.588045 | − | 0.808828i | \(-0.700102\pi\) |
0.156117 | + | 0.987739i | \(0.450102\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.34684 | − | 2.34684i | 0.136638 | − | 0.136638i | ||||
\(296\) | 1.67727 | + | 2.71160i | 0.0974895 | + | 0.157609i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 14.3246 | + | 9.81569i | 0.829799 | + | 0.568608i | ||||
\(299\) | 1.32333 | + | 3.19479i | 0.0765299 | + | 0.184759i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 18.0693 | + | 7.48453i | 1.04149 | + | 0.431401i | ||||
\(302\) | −12.6349 | − | 2.66728i | −0.727058 | − | 0.153484i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.70681 | − | 7.51076i | −0.155246 | − | 0.430772i | ||||
\(305\) | 12.4770i | 0.714432i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 23.7724 | + | 9.84685i | 1.35676 | + | 0.561989i | 0.938167 | − | 0.346183i | \(-0.112522\pi\) |
0.418596 | + | 0.908173i | \(0.362522\pi\) | |||||||
\(308\) | −14.8105 | + | 14.1331i | −0.843904 | + | 0.805308i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −5.14251 | + | 7.50473i | −0.292075 | + | 0.426240i | ||||
\(311\) | 1.72058 | + | 1.72058i | 0.0975652 | + | 0.0975652i | 0.754205 | − | 0.656639i | \(-0.228023\pi\) |
−0.656639 | + | 0.754205i | \(0.728023\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.18203 | − | 6.18203i | 0.349429 | − | 0.349429i | −0.510468 | − | 0.859897i | \(-0.670528\pi\) |
0.859897 | + | 0.510468i | \(0.170528\pi\) | |||||||
\(314\) | −3.18271 | − | 17.0401i | −0.179610 | − | 0.961626i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 17.7281 | + | 7.83405i | 0.997284 | + | 0.440700i | ||||
\(317\) | −3.77605 | + | 9.11619i | −0.212084 | + | 0.512016i | −0.993743 | − | 0.111690i | \(-0.964374\pi\) |
0.781659 | + | 0.623706i | \(0.214374\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 17.1673 | 0.961185 | ||||||||
\(320\) | 5.20683 | − | 4.52273i | 0.291070 | − | 0.252828i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 5.30027 | − | 3.45253i | 0.295373 | − | 0.192402i | ||||
\(323\) | 3.91764 | − | 9.45801i | 0.217983 | − | 0.526258i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 14.6803 | − | 6.08078i | 0.814316 | − | 0.337301i | ||||
\(326\) | −1.13754 | − | 6.09034i | −0.0630025 | − | 0.337313i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 18.3587 | − | 25.4915i | 1.01369 | − | 1.40753i | ||||
\(329\) | −29.1250 | − | 29.1250i | −1.60571 | − | 1.60571i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −9.97778 | − | 24.0885i | −0.548428 | − | 1.32402i | −0.918647 | − | 0.395079i | \(-0.870717\pi\) |
0.370219 | − | 0.928944i | \(-0.379283\pi\) | |||||||
\(332\) | −2.92060 | + | 2.78702i | −0.160289 | + | 0.152958i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 5.42746 | − | 25.7099i | 0.296977 | − | 1.40679i | ||||
\(335\) | 3.37457i | 0.184373i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 0.646451i | − | 0.0352144i | −0.999845 | − | 0.0176072i | \(-0.994395\pi\) | ||
0.999845 | − | 0.0176072i | \(-0.00560484\pi\) | |||||||
\(338\) | −1.29242 | − | 0.272835i | −0.0702986 | − | 0.0148403i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 8.84126 | + | 0.206911i | 0.479484 | + | 0.0112213i | ||||
\(341\) | 6.05373 | + | 14.6150i | 0.327828 | + | 0.791446i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −31.7947 | − | 31.7947i | −1.71675 | − | 1.71675i | ||||
\(344\) | −9.74371 | + | 6.02701i | −0.525346 | + | 0.324955i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.300441 | − | 0.0561157i | 0.0161518 | − | 0.00301680i | ||||
\(347\) | 23.1114 | − | 9.57307i | 1.24069 | − | 0.513909i | 0.336758 | − | 0.941591i | \(-0.390670\pi\) |
0.903929 | + | 0.427682i | \(0.140670\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.78496 | + | 6.72348i | −0.149075 | + | 0.359899i | −0.980723 | − | 0.195404i | \(-0.937398\pi\) |
0.831648 | + | 0.555304i | \(0.187398\pi\) | |||||||
\(350\) | −15.8646 | − | 24.3551i | −0.847999 | − | 1.30184i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.64795 | − | 11.8786i | −0.0878362 | − | 0.633131i | ||||
\(353\) | 16.2559 | 0.865215 | 0.432607 | − | 0.901582i | \(-0.357594\pi\) | ||||
0.432607 | + | 0.901582i | \(0.357594\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.70477 | + | 4.11569i | −0.0904800 | + | 0.218438i | ||||
\(356\) | −9.30972 | − | 24.0525i | −0.493414 | − | 1.27478i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −28.9862 | + | 5.41398i | −1.53197 | + | 0.286138i | ||||
\(359\) | 26.4226 | − | 26.4226i | 1.39453 | − | 1.39453i | 0.579712 | − | 0.814821i | \(-0.303165\pi\) |
0.814821 | − | 0.579712i | \(-0.196835\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.6182 | − | 10.6182i | −0.558851 | − | 0.558851i | ||||
\(362\) | 23.4912 | + | 16.0970i | 1.23467 | + | 0.846040i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.843363 | + | 36.0367i | −0.0442042 | + | 1.88884i | ||||
\(365\) | 1.54018 | + | 0.637965i | 0.0806169 | + | 0.0333926i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 1.66302i | − | 0.0868091i | −0.999058 | − | 0.0434046i | \(-0.986180\pi\) | ||
0.999058 | − | 0.0434046i | \(-0.0138204\pi\) | |||||||
\(368\) | −0.173345 | + | 3.70146i | −0.00903621 | + | 0.192952i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.283878 | − | 1.34474i | 0.0147581 | − | 0.0699094i | ||||
\(371\) | 25.8645 | + | 10.7134i | 1.34282 | + | 0.556214i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −11.8922 | − | 28.7102i | −0.615753 | − | 1.48656i | −0.856593 | − | 0.515993i | \(-0.827423\pi\) |
0.240840 | − | 0.970565i | \(-0.422577\pi\) | |||||||
\(374\) | 8.69234 | − | 12.6852i | 0.449470 | − | 0.655936i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 23.8155 | − | 3.87392i | 1.22819 | − | 0.199782i | ||||
\(377\) | 21.3745 | − | 21.3745i | 1.10084 | − | 1.10084i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.65256 | − | 0.684513i | 0.0848863 | − | 0.0351611i | −0.339836 | − | 0.940485i | \(-0.610372\pi\) |
0.424723 | + | 0.905324i | \(0.360372\pi\) | |||||||
\(380\) | −1.39098 | + | 3.14771i | −0.0713555 | + | 0.161474i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.95966 | − | 3.23066i | 0.253759 | − | 0.165295i | ||||
\(383\) | 37.1405 | 1.89779 | 0.948896 | − | 0.315589i | \(-0.102202\pi\) | ||||
0.948896 | + | 0.315589i | \(0.102202\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 8.82439 | 0.449732 | ||||||||
\(386\) | −15.1090 | + | 9.84177i | −0.769026 | + | 0.500933i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 12.6919 | − | 28.7212i | 0.644333 | − | 1.45810i | ||||
\(389\) | 14.5838 | − | 6.04079i | 0.739426 | − | 0.306280i | 0.0190070 | − | 0.999819i | \(-0.493950\pi\) |
0.720419 | + | 0.693539i | \(0.243950\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.35983 | + | 3.35983i | −0.169914 | + | 0.169914i | ||||
\(392\) | 45.5406 | − | 7.40782i | 2.30015 | − | 0.374151i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 20.5106 | − | 29.9323i | 1.03331 | − | 1.50797i | ||||
\(395\) | −3.19716 | − | 7.71863i | −0.160867 | − | 0.388367i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 33.5415 | + | 13.8933i | 1.68340 | + | 0.697287i | 0.999479 | − | 0.0322707i | \(-0.0102739\pi\) |
0.683920 | + | 0.729557i | \(0.260274\pi\) | |||||||
\(398\) | −0.702648 | + | 3.32845i | −0.0352206 | + | 0.166840i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 17.0085 | + | 0.796531i | 0.850424 | + | 0.0398266i | ||||
\(401\) | − | 5.74652i | − | 0.286968i | −0.989653 | − | 0.143484i | \(-0.954169\pi\) | ||
0.989653 | − | 0.143484i | \(-0.0458305\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 25.7340 | + | 10.6594i | 1.28190 | + | 0.530981i | ||||
\(404\) | 0.187941 | − | 8.03068i | 0.00935042 | − | 0.399541i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −45.6133 | − | 31.2558i | −2.26375 | − | 1.55120i | ||||
\(407\) | −1.68984 | − | 1.68984i | −0.0837622 | − | 0.0837622i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.83666 | − | 4.83666i | 0.239158 | − | 0.239158i | −0.577344 | − | 0.816501i | \(-0.695911\pi\) |
0.816501 | + | 0.577344i | \(0.195911\pi\) | |||||||
\(410\) | −13.3110 | + | 2.48620i | −0.657383 | + | 0.122785i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.47935 | + | 6.40563i | 0.122149 | + | 0.315583i | ||||
\(413\) | −7.11336 | + | 17.1732i | −0.350025 | + | 0.845036i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.74016 | 0.0854209 | ||||||||
\(416\) | −16.8415 | − | 12.7379i | −0.825722 | − | 0.624525i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3.26605 | + | 5.01400i | 0.159748 | + | 0.245243i | ||||
\(419\) | −12.9860 | + | 31.3511i | −0.634410 | + | 1.53160i | 0.199615 | + | 0.979874i | \(0.436031\pi\) |
−0.834025 | + | 0.551727i | \(0.813969\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −24.2889 | + | 10.0608i | −1.18377 | + | 0.490332i | −0.885720 | − | 0.464219i | \(-0.846335\pi\) |
−0.298046 | + | 0.954551i | \(0.596335\pi\) | |||||||
\(422\) | −5.45052 | + | 1.01804i | −0.265327 | + | 0.0495573i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −13.9472 | + | 8.62713i | −0.677338 | + | 0.418970i | ||||
\(425\) | 15.4387 | + | 15.4387i | 0.748886 | + | 0.748886i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −26.7416 | − | 64.5600i | −1.29412 | − | 3.12428i | ||||
\(428\) | −3.94033 | − | 0.0922150i | −0.190463 | − | 0.00445738i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.83209 | + | 1.02007i | 0.233024 | + | 0.0491922i | ||||
\(431\) | − | 6.67302i | − | 0.321428i | −0.987001 | − | 0.160714i | \(-0.948620\pi\) | ||
0.987001 | − | 0.160714i | \(-0.0513797\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 13.5877i | 0.652981i | 0.945200 | + | 0.326491i | \(0.105866\pi\) | ||||
−0.945200 | + | 0.326491i | \(0.894134\pi\) | |||||||
\(434\) | 10.5243 | − | 49.8536i | 0.505181 | − | 2.39305i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.776864 | − | 0.741334i | 0.0372050 | − | 0.0355035i | ||||
\(437\) | −0.707569 | − | 1.70822i | −0.0338476 | − | 0.0817154i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −9.87555 | − | 9.87555i | −0.471334 | − | 0.471334i | 0.431012 | − | 0.902346i | \(-0.358157\pi\) |
−0.902346 | + | 0.431012i | \(0.858157\pi\) | |||||||
\(440\) | −3.02098 | + | 4.19471i | −0.144019 | + | 0.199975i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4.97137 | − | 26.6165i | −0.236464 | − | 1.26602i | ||||
\(443\) | −16.2012 | + | 6.71074i | −0.769741 | + | 0.318837i | −0.732767 | − | 0.680479i | \(-0.761772\pi\) |
−0.0369733 | + | 0.999316i | \(0.511772\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.25444 | + | 10.2711i | −0.201680 | + | 0.486898i | ||||
\(446\) | −24.9768 | + | 16.2696i | −1.18269 | + | 0.770387i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −17.2483 | + | 34.5616i | −0.814906 | + | 1.63288i | ||||
\(449\) | −17.8762 | −0.843631 | −0.421816 | − | 0.906682i | \(-0.638607\pi\) | ||||
−0.421816 | + | 0.906682i | \(0.638607\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9.01057 | + | 21.7534i | −0.424291 | + | 1.02433i | ||||
\(452\) | −10.1411 | − | 4.48135i | −0.476997 | − | 0.210785i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.90393 | − | 15.5475i | −0.136288 | − | 0.729682i | ||||
\(455\) | 10.9870 | − | 10.9870i | 0.515077 | − | 0.515077i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.21164 | − | 2.21164i | −0.103456 | − | 0.103456i | 0.653484 | − | 0.756940i | \(-0.273307\pi\) |
−0.756940 | + | 0.653484i | \(0.773307\pi\) | |||||||
\(458\) | 10.6278 | − | 15.5098i | 0.496607 | − | 0.724724i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.15555 | − | 1.10270i | 0.0538780 | − | 0.0514139i | ||||
\(461\) | −0.371943 | − | 0.154064i | −0.0173231 | − | 0.00717547i | 0.374005 | − | 0.927427i | \(-0.377984\pi\) |
−0.391328 | + | 0.920251i | \(0.627984\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 24.3117i | 1.12986i | 0.825138 | + | 0.564931i | \(0.191097\pi\) | ||||
−0.825138 | + | 0.564931i | \(0.808903\pi\) | |||||||
\(464\) | 30.4730 | − | 10.9822i | 1.41468 | − | 0.509837i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −39.9141 | − | 8.42600i | −1.84898 | − | 0.390327i | ||||
\(467\) | −18.3325 | − | 7.59355i | −0.848325 | − | 0.351388i | −0.0841943 | − | 0.996449i | \(-0.526832\pi\) |
−0.764130 | + | 0.645062i | \(0.776832\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −7.23262 | − | 17.4611i | −0.333971 | − | 0.806278i | ||||
\(470\) | −8.57960 | − | 5.87904i | −0.395747 | − | 0.271180i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −5.72812 | − | 9.26050i | −0.263658 | − | 0.426249i | ||||
\(473\) | 6.07217 | − | 6.07217i | 0.279199 | − | 0.279199i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −7.84941 | + | 3.25133i | −0.360156 | + | 0.149181i | ||||
\(476\) | −46.1909 | + | 17.8786i | −2.11715 | + | 0.819463i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 11.2094 | + | 17.2086i | 0.512707 | + | 0.787101i | ||||
\(479\) | 7.56363 | 0.345591 | 0.172796 | − | 0.984958i | \(-0.444720\pi\) | ||||
0.172796 | + | 0.984958i | \(0.444720\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.20793 | −0.191865 | ||||||||
\(482\) | 5.74971 | + | 8.82688i | 0.261892 | + | 0.402053i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.69665 | − | 12.1342i | −0.213484 | − | 0.551555i | ||||
\(485\) | −12.5049 | + | 5.17970i | −0.567819 | + | 0.235198i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.05578 | − | 5.05578i | 0.229099 | − | 0.229099i | −0.583217 | − | 0.812316i | \(-0.698206\pi\) |
0.812316 | + | 0.583217i | \(0.198206\pi\) | |||||||
\(488\) | 39.8437 | + | 9.38999i | 1.80364 | + | 0.425065i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −16.4062 | − | 11.2421i | −0.741155 | − | 0.507865i | ||||
\(491\) | 8.74076 | + | 21.1021i | 0.394465 | + | 0.952323i | 0.988954 | + | 0.148220i | \(0.0473543\pi\) |
−0.594489 | + | 0.804104i | \(0.702646\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 38.3735 | + | 15.8948i | 1.72826 | + | 0.715867i | ||||
\(494\) | 10.3092 | + | 2.17631i | 0.463834 | + | 0.0979170i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 20.0952 | + | 22.0698i | 0.902301 | + | 0.990965i | ||||
\(497\) | − | 24.9496i | − | 1.11914i | ||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −11.8354 | − | 4.90237i | −0.529824 | − | 0.219460i | 0.101702 | − | 0.994815i | \(-0.467571\pi\) |
−0.631526 | + | 0.775355i | \(0.717571\pi\) | |||||||
\(500\) | −11.0187 | − | 11.5468i | −0.492771 | − | 0.516388i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −13.1783 | + | 19.2319i | −0.588178 | + | 0.858360i | ||||
\(503\) | 10.3156 | + | 10.3156i | 0.459948 | + | 0.459948i | 0.898638 | − | 0.438690i | \(-0.144557\pi\) |
−0.438690 | + | 0.898638i | \(0.644557\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.44841 | + | 2.44841i | −0.108953 | + | 0.108953i | ||||
\(506\) | −0.509932 | − | 2.73015i | −0.0226693 | − | 0.121370i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −13.2484 | + | 29.9806i | −0.587804 | + | 1.33017i | ||||
\(509\) | −7.07660 | + | 17.0844i | −0.313665 | + | 0.757254i | 0.685898 | + | 0.727697i | \(0.259409\pi\) |
−0.999563 | + | 0.0295564i | \(0.990591\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −9.33672 | −0.413032 | ||||||||
\(512\) | −10.5242 | − | 20.0310i | −0.465106 | − | 0.885255i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −24.1870 | + | 15.7551i | −1.06684 | + | 0.694926i | ||||
\(515\) | 1.13304 | − | 2.73539i | 0.0499276 | − | 0.120536i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −16.7082 | + | 6.92077i | −0.734826 | + | 0.304375i | ||||
\(518\) | 1.41326 | + | 7.56650i | 0.0620949 | + | 0.332453i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.46138 | + | 8.98403i | 0.0640857 | + | 0.393976i | ||||
\(521\) | −16.9560 | − | 16.9560i | −0.742858 | − | 0.742858i | 0.230269 | − | 0.973127i | \(-0.426039\pi\) |
−0.973127 | + | 0.230269i | \(0.926039\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.21535 | + | 5.34834i | 0.0968707 | + | 0.233867i | 0.964885 | − | 0.262673i | \(-0.0846039\pi\) |
−0.868014 | + | 0.496539i | \(0.834604\pi\) | |||||||
\(524\) | −23.4518 | − | 24.5758i | −1.02450 | − | 1.07360i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.25646 | − | 24.8999i | 0.229192 | − | 1.08569i | ||||
\(527\) | 38.2734i | 1.66722i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 22.1418i | − | 0.962688i | ||||||
\(530\) | 6.91671 | + | 1.46014i | 0.300443 | + | 0.0634245i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.450938 | − | 19.2685i | 0.0195507 | − | 0.835395i | ||||
\(533\) | 15.8658 | + | 38.3033i | 0.687222 | + | 1.65910i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.20134 | + | 1.20134i | 0.0519383 | + | 0.0519383i | ||||
\(536\) | 10.7762 | + | 2.53965i | 0.465463 | + | 0.109696i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −13.9966 | + | 2.61426i | −0.603436 | + | 0.112709i | ||||
\(539\) | −31.9499 | + | 13.2341i | −1.37618 | + | 0.570033i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 13.1856 | − | 31.8329i | 0.566895 | − | 1.36860i | −0.337265 | − | 0.941410i | \(-0.609502\pi\) |
0.904160 | − | 0.427195i | \(-0.140498\pi\) | |||||||
\(542\) | −12.7835 | − | 19.6250i | −0.549097 | − | 0.842966i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 7.31452 | − | 28.0776i | 0.313607 | − | 1.20382i | ||||
\(545\) | −0.462872 | −0.0198273 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.01569 | − | 19.3516i | 0.342726 | − | 0.827414i | −0.654712 | − | 0.755879i | \(-0.727210\pi\) |
0.997438 | − | 0.0715356i | \(-0.0227899\pi\) | |||||||
\(548\) | 2.98171 | − | 1.15410i | 0.127372 | − | 0.0493005i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −12.5453 | + | 2.34318i | −0.534932 | + | 0.0999134i | ||||
\(551\) | −11.4287 | + | 11.4287i | −0.486880 | + | 0.486880i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 33.0862 | + | 33.0862i | 1.40697 | + | 1.40697i | ||||
\(554\) | 24.8828 | + | 17.0506i | 1.05717 | + | 0.724409i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 30.2319 | + | 0.707513i | 1.28212 | + | 0.0300052i | ||||
\(557\) | 18.6004 | + | 7.70455i | 0.788126 | + | 0.326452i | 0.740190 | − | 0.672398i | \(-0.234736\pi\) |
0.0479360 | + | 0.998850i | \(0.484736\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 15.1205i | − | 0.639531i | ||||||
\(560\) | 15.6638 | − | 5.64511i | 0.661918 | − | 0.238549i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −2.11694 | + | 10.0280i | −0.0892979 | + | 0.423005i | ||||
\(563\) | 25.0778 | + | 10.3876i | 1.05690 | + | 0.437784i | 0.842352 | − | 0.538928i | \(-0.181171\pi\) |
0.214553 | + | 0.976712i | \(0.431171\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.82889 | + | 4.41533i | 0.0769420 | + | 0.185754i | ||||
\(566\) | 7.13830 | − | 10.4173i | 0.300045 | − | 0.437871i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 11.8599 | + | 8.54137i | 0.497631 | + | 0.358388i | ||||
\(569\) | −19.8519 | + | 19.8519i | −0.832235 | + | 0.832235i | −0.987822 | − | 0.155587i | \(-0.950273\pi\) |
0.155587 | + | 0.987822i | \(0.450273\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −20.6373 | + | 8.54825i | −0.863644 | + | 0.357733i | −0.770132 | − | 0.637885i | \(-0.779809\pi\) |
−0.0935123 | + | 0.995618i | \(0.529809\pi\) | |||||||
\(572\) | 14.4765 | + | 6.39717i | 0.605293 | + | 0.267479i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 63.5466 | − | 41.3934i | 2.65238 | − | 1.72773i | ||||
\(575\) | 3.94339 | 0.164451 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −6.90741 | −0.287559 | −0.143780 | − | 0.989610i | \(-0.545926\pi\) | ||||
−0.143780 | + | 0.989610i | \(0.545926\pi\) | |||||||
\(578\) | 11.0299 | − | 7.18471i | 0.458782 | − | 0.298845i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −12.7711 | − | 5.64354i | −0.530290 | − | 0.234335i | ||||
\(581\) | −9.00411 | + | 3.72962i | −0.373553 | + | 0.154731i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.69177 | − | 8.69177i | 0.359976 | − | 0.359976i | ||||
\(584\) | 3.19637 | − | 4.43825i | 0.132267 | − | 0.183656i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 6.39724 | − | 9.33583i | 0.264268 | − | 0.385660i | ||||
\(587\) | −15.4328 | − | 37.2580i | −0.636978 | − | 1.53780i | −0.830685 | − | 0.556743i | \(-0.812051\pi\) |
0.193707 | − | 0.981059i | \(-0.437949\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −13.7597 | − | 5.69946i | −0.566959 | − | 0.234842i | ||||
\(590\) | −0.969484 | + | 4.59246i | −0.0399130 | + | 0.189068i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.08059 | − | 1.91855i | −0.167711 | − | 0.0788520i | ||||
\(593\) | − | 16.1054i | − | 0.661371i | −0.943741 | − | 0.330685i | \(-0.892720\pi\) | ||
0.943741 | − | 0.330685i | \(-0.107280\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 19.7249 | + | 8.17031i | 0.808641 | + | 0.334950i | ||||
\(596\) | −24.5510 | − | 0.574564i | −1.00565 | − | 0.0235351i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −4.03413 | − | 2.76433i | −0.164968 | − | 0.113042i | ||||
\(599\) | 4.83684 | + | 4.83684i | 0.197628 | + | 0.197628i | 0.798982 | − | 0.601355i | \(-0.205372\pi\) |
−0.601355 | + | 0.798982i | \(0.705372\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.60693 | − | 3.60693i | 0.147130 | − | 0.147130i | −0.629705 | − | 0.776834i | \(-0.716824\pi\) |
0.776834 | + | 0.629705i | \(0.216824\pi\) | |||||||
\(602\) | −27.1890 | + | 5.07831i | −1.10814 | + | 0.206976i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 17.0310 | − | 6.59201i | 0.692983 | − | 0.268225i | ||||
\(605\) | −2.14632 | + | 5.18167i | −0.0872603 | + | 0.210665i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 33.3188 | 1.35237 | 0.676185 | − | 0.736732i | \(-0.263632\pi\) | ||||
0.676185 | + | 0.736732i | \(0.263632\pi\) | |||||||
\(608\) | 9.00498 | + | 6.81081i | 0.365200 | + | 0.276215i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −9.63082 | − | 14.7851i | −0.389941 | − | 0.598632i | ||||
\(611\) | −12.1860 | + | 29.4197i | −0.492995 | + | 1.19019i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −31.3111 | + | 12.9695i | −1.26464 | + | 0.523833i | −0.911332 | − | 0.411673i | \(-0.864945\pi\) |
−0.353312 | + | 0.935505i | \(0.614945\pi\) | |||||||
\(614\) | −35.7706 | + | 6.68116i | −1.44358 | + | 0.269630i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 6.64108 | − | 28.1795i | 0.267577 | − | 1.13538i | ||||
\(617\) | 25.1396 | + | 25.1396i | 1.01208 | + | 1.01208i | 0.999926 | + | 0.0121577i | \(0.00387001\pi\) |
0.0121577 | + | 0.999926i | \(0.496130\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 1.51167 | + | 3.64951i | 0.0607593 | + | 0.146686i | 0.951343 | − | 0.308133i | \(-0.0997041\pi\) |
−0.890584 | + | 0.454819i | \(0.849704\pi\) | |||||||
\(620\) | 0.301018 | − | 12.8624i | 0.0120892 | − | 0.516568i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −3.36696 | − | 0.710776i | −0.135003 | − | 0.0284995i | ||||
\(623\) | − | 62.2644i | − | 2.49457i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | − | 14.4041i | − | 0.576163i | ||||||
\(626\) | −2.55381 | + | 12.0974i | −0.102071 | + | 0.483511i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 16.9244 | + | 17.7356i | 0.675358 | + | 0.707726i | ||||
\(629\) | −2.21266 | − | 5.34183i | −0.0882244 | − | 0.212993i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −25.5140 | − | 25.5140i | −1.01570 | − | 1.01570i | −0.999875 | − | 0.0158223i | \(-0.994963\pi\) |
−0.0158223 | − | 0.999875i | \(-0.505037\pi\) | |||||||
\(632\) | −27.0546 | + | 4.40080i | −1.07617 | + | 0.175054i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2.56208 | − | 13.7172i | −0.101753 | − | 0.544781i | ||||
\(635\) | 13.0533 | − | 5.40683i | 0.518002 | − | 0.214564i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −23.3025 | + | 56.2572i | −0.923279 | + | 2.22899i | ||||
\(638\) | −20.3430 | + | 13.2512i | −0.805389 | + | 0.524619i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −2.67900 | + | 9.37844i | −0.105897 | + | 0.370716i | ||||
\(641\) | 33.5444 | 1.32492 | 0.662461 | − | 0.749096i | \(-0.269512\pi\) | ||||
0.662461 | + | 0.749096i | \(0.269512\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 10.2097 | − | 24.6483i | 0.402629 | − | 0.972033i | −0.584396 | − | 0.811469i | \(-0.698669\pi\) |
0.987025 | − | 0.160565i | \(-0.0513315\pi\) | |||||||
\(644\) | −3.61580 | + | 8.18240i | −0.142483 | + | 0.322432i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.65815 | + | 14.2316i | 0.104583 | + | 0.559934i | ||||
\(647\) | −11.2919 | + | 11.2919i | −0.443932 | + | 0.443932i | −0.893331 | − | 0.449399i | \(-0.851638\pi\) |
0.449399 | + | 0.893331i | \(0.351638\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.77104 | + | 5.77104i | 0.226533 | + | 0.226533i | ||||
\(650\) | −12.7023 | + | 18.5371i | −0.498225 | + | 0.727086i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.04901 | + | 6.33892i | 0.236897 | + | 0.248251i | ||||
\(653\) | −18.2896 | − | 7.57581i | −0.715728 | − | 0.296464i | −0.00505564 | − | 0.999987i | \(-0.501609\pi\) |
−0.710673 | + | 0.703523i | \(0.751609\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 14.6428i | 0.572141i | ||||||||
\(656\) | −2.07828 | + | 44.3779i | −0.0811433 | + | 1.73267i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 56.9939 | + | 12.0316i | 2.22185 | + | 0.469041i | ||||
\(659\) | −32.2918 | − | 13.3757i | −1.25791 | − | 0.521043i | −0.348642 | − | 0.937256i | \(-0.613357\pi\) |
−0.909267 | + | 0.416213i | \(0.863357\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.02009 | − | 9.70536i | −0.156363 | − | 0.377495i | 0.826212 | − | 0.563360i | \(-0.190491\pi\) |
−0.982575 | + | 0.185865i | \(0.940491\pi\) | |||||||
\(662\) | 30.4171 | + | 20.8429i | 1.18219 | + | 0.810080i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.30961 | − | 5.55695i | 0.0508228 | − | 0.215652i | ||||
\(665\) | −5.87463 | + | 5.87463i | −0.227808 | + | 0.227808i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.93069 | − | 2.87079i | 0.268357 | − | 0.111157i | ||||
\(668\) | 13.4136 | + | 34.6553i | 0.518989 | + | 1.34085i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −2.60478 | − | 3.99883i | −0.100631 | − | 0.154488i | ||||
\(671\) | −30.6819 | −1.18446 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.78955 | −0.184623 | −0.0923117 | − | 0.995730i | \(-0.529426\pi\) | ||||
−0.0923117 | + | 0.995730i | \(0.529426\pi\) | |||||||
\(674\) | 0.498985 | + | 0.766036i | 0.0192202 | + | 0.0295066i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.74210 | − | 0.674296i | 0.0670040 | − | 0.0259345i | ||||
\(677\) | −0.657333 | + | 0.272276i | −0.0252633 | + | 0.0104644i | −0.395279 | − | 0.918561i | \(-0.629352\pi\) |
0.370016 | + | 0.929025i | \(0.379352\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 53.6028 | − | 53.6028i | 2.05709 | − | 2.05709i | ||||
\(680\) | −10.6365 | + | 6.57924i | −0.407891 | + | 0.252302i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −18.4547 | − | 12.6458i | −0.706666 | − | 0.484232i | ||||
\(683\) | 11.7426 | + | 28.3491i | 0.449318 | + | 1.08475i | 0.972578 | + | 0.232577i | \(0.0747157\pi\) |
−0.523260 | + | 0.852173i | \(0.675284\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.27328 | − | 0.527409i | −0.0486494 | − | 0.0201513i | ||||
\(686\) | 62.2181 | + | 13.1345i | 2.37550 | + | 0.501476i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 6.89401 | − | 14.6629i | 0.262832 | − | 0.559020i | ||||
\(689\) | − | 21.6437i | − | 0.824559i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 42.2763 | + | 17.5114i | 1.60827 | + | 0.666166i | 0.992554 | − | 0.121803i | \(-0.0388678\pi\) |
0.615714 | + | 0.787970i | \(0.288868\pi\) | |||||||
\(692\) | −0.312703 | + | 0.298402i | −0.0118872 | + | 0.0113435i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −19.9974 | + | 29.1833i | −0.759093 | + | 1.10778i | ||||
\(695\) | −9.21717 | − | 9.21717i | −0.349627 | − | 0.349627i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −40.2821 | + | 40.2821i | −1.52579 | + | 1.52579i | ||||
\(698\) | −1.88961 | − | 10.1169i | −0.0715229 | − | 0.382930i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 37.5987 | + | 16.6149i | 1.42110 | + | 0.627983i | ||||
\(701\) | 9.62867 | − | 23.2457i | 0.363670 | − | 0.877977i | −0.631087 | − | 0.775712i | \(-0.717391\pi\) |
0.994757 | − | 0.102265i | \(-0.0326090\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.24994 | 0.0848581 | ||||||||
\(704\) | 11.1217 | + | 12.8040i | 0.419165 | + | 0.482567i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −19.2630 | + | 12.5477i | −0.724974 | + | 0.472238i | ||||
\(707\) | 7.42124 | − | 17.9165i | 0.279105 | − | 0.673818i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −20.1359 | + | 8.34057i | −0.756221 | + | 0.313237i | −0.727277 | − | 0.686344i | \(-0.759214\pi\) |
−0.0289438 | + | 0.999581i | \(0.509214\pi\) | |||||||
\(710\) | −1.15670 | − | 6.19293i | −0.0434102 | − | 0.232416i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 29.5976 | + | 21.3159i | 1.10922 | + | 0.798845i | ||||
\(713\) | 4.88795 | + | 4.88795i | 0.183055 | + | 0.183055i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.61076 | − | 6.30293i | −0.0976368 | − | 0.235716i | ||||
\(716\) | 30.1693 | − | 28.7895i | 1.12748 | − | 1.07591i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −10.9153 | + | 51.7057i | −0.407354 | + | 1.92964i | ||||
\(719\) | − | 0.572599i | − | 0.0213543i | −0.999943 | − | 0.0106772i | \(-0.996601\pi\) | ||
0.999943 | − | 0.0106772i | \(-0.00339871\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 16.5822i | 0.617552i | ||||||||
\(722\) | 20.7784 | + | 4.38639i | 0.773291 | + | 0.163244i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −40.2618 | − | 0.942243i | −1.49632 | − | 0.0350182i | ||||
\(725\) | −13.1915 | − | 31.8470i | −0.489919 | − | 1.18277i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −10.4074 | − | 10.4074i | −0.385989 | − | 0.385989i | 0.487265 | − | 0.873254i | \(-0.337994\pi\) |
−0.873254 | + | 0.487265i | \(0.837994\pi\) | |||||||
\(728\) | −26.8168 | − | 43.3540i | −0.993897 | − | 1.60681i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.31753 | + | 0.432864i | −0.0857757 | + | 0.0160210i | ||||
\(731\) | 19.1950 | − | 7.95083i | 0.709953 | − | 0.294072i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −14.5352 | + | 35.0911i | −0.536870 | + | 1.29612i | 0.390027 | + | 0.920803i | \(0.372466\pi\) |
−0.926897 | + | 0.375315i | \(0.877534\pi\) | |||||||
\(734\) | 1.28366 | + | 1.97066i | 0.0473808 | + | 0.0727384i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.65169 | − | 4.51998i | −0.0977425 | − | 0.166609i | ||||
\(737\) | −8.29831 | −0.305672 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 7.77168 | − | 18.7625i | 0.285886 | − | 0.690190i | −0.714065 | − | 0.700079i | \(-0.753148\pi\) |
0.999951 | + | 0.00988937i | \(0.00314794\pi\) | |||||||
\(740\) | 0.701588 | + | 1.81261i | 0.0257909 | + | 0.0666330i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −38.9187 | + | 7.26914i | −1.42875 | + | 0.266859i | ||||
\(743\) | −4.84516 | + | 4.84516i | −0.177752 | + | 0.177752i | −0.790375 | − | 0.612623i | \(-0.790114\pi\) |
0.612623 | + | 0.790375i | \(0.290114\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 7.48517 | + | 7.48517i | 0.274235 | + | 0.274235i | ||||
\(746\) | 36.2530 | + | 24.8419i | 1.32732 | + | 0.909525i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.508808 | + | 21.7413i | −0.0186039 | + | 0.794940i | ||||
\(749\) | −8.79088 | − | 3.64130i | −0.321212 | − | 0.133050i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 25.3393i | 0.924645i | 0.886712 | + | 0.462322i | \(0.152984\pi\) | ||||
−0.886712 | + | 0.462322i | \(0.847016\pi\) | |||||||
\(752\) | −25.2308 | + | 22.9733i | −0.920072 | + | 0.837751i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −8.82985 | + | 41.8271i | −0.321564 | + | 1.52325i | ||||
\(755\) | −7.27276 | − | 3.01248i | −0.264683 | − | 0.109635i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 9.70852 | + | 23.4385i | 0.352862 | + | 0.851885i | 0.996264 | + | 0.0863565i | \(0.0275224\pi\) |
−0.643402 | + | 0.765529i | \(0.722478\pi\) | |||||||
\(758\) | −1.42990 | + | 2.08673i | −0.0519362 | + | 0.0757933i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.781385 | − | 4.80367i | −0.0283438 | − | 0.174248i | ||||
\(761\) | 26.8470 | − | 26.8470i | 0.973203 | − | 0.973203i | −0.0264474 | − | 0.999650i | \(-0.508419\pi\) |
0.999650 | + | 0.0264474i | \(0.00841945\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.39504 | − | 0.992060i | 0.0867064 | − | 0.0359150i | ||||
\(764\) | −3.38344 | + | 7.65658i | −0.122409 | + | 0.277005i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −44.0110 | + | 28.6682i | −1.59018 | + | 1.03582i | ||||
\(767\) | 14.3707 | 0.518895 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 47.9760 | 1.73006 | 0.865029 | − | 0.501722i | \(-0.167300\pi\) | ||||
0.865029 | + | 0.501722i | \(0.167300\pi\) | |||||||
\(770\) | −10.4568 | + | 6.81141i | −0.376836 | + | 0.245466i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 10.3072 | − | 23.3247i | 0.370965 | − | 0.839476i | ||||
\(773\) | −18.2509 | + | 7.55976i | −0.656438 | + | 0.271906i | −0.685939 | − | 0.727659i | \(-0.740608\pi\) |
0.0295005 | + | 0.999565i | \(0.490608\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 22.4605 | − | 22.4605i | 0.806805 | − | 0.806805i | ||||
\(776\) | 7.12971 | + | 43.8309i | 0.255942 | + | 1.57344i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −12.6188 | + | 18.4152i | −0.452405 | + | 0.660218i | ||||
\(779\) | −8.48326 | − | 20.4804i | −0.303944 | − | 0.733787i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −10.1208 | − | 4.19216i | −0.362150 | − | 0.150007i | ||||
\(782\) | 1.38796 | − | 6.57476i | 0.0496332 | − | 0.235113i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −48.2471 | + | 43.9303i | −1.72311 | + | 1.56894i | ||||
\(785\) | − | 10.5672i | − | 0.377161i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −15.4862 | − | 6.41459i | −0.552023 | − | 0.228656i | 0.0891948 | − | 0.996014i | \(-0.471571\pi\) |
−0.641218 | + | 0.767359i | \(0.721571\pi\) | |||||||
\(788\) | −1.20060 | + | 51.3012i | −0.0427695 | + | 1.82753i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 9.74649 | + | 6.67864i | 0.346765 | + | 0.237615i | ||||
\(791\) | −18.9265 | − | 18.9265i | −0.672949 | − | 0.672949i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −38.2011 | + | 38.2011i | −1.35656 | + | 1.35656i | ||||
\(794\) | −50.4703 | + | 9.42673i | −1.79112 | + | 0.334542i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.73655 | − | 4.48654i | −0.0615505 | − | 0.159021i | ||||
\(797\) | 15.6239 | − | 37.7193i | 0.553425 | − | 1.33609i | −0.361466 | − | 0.932385i | \(-0.617724\pi\) |
0.914891 | − | 0.403701i | \(-0.132276\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −43.7551 | −1.54794 | ||||||||
\(800\) | −20.7697 | + | 12.1847i | −0.734318 | + | 0.430794i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 4.43565 | + | 6.80956i | 0.156628 | + | 0.240454i | ||||
\(803\) | −1.56880 | + | 3.78742i | −0.0553618 | + | 0.133655i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.56253 | − | 1.47565i | 0.125563 | − | 0.0520098i | ||||
\(806\) | −38.7222 | + | 7.23245i | −1.36393 | + | 0.254752i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 5.97605 | + | 9.66132i | 0.210237 | + | 0.339884i | ||||
\(809\) | −28.6042 | − | 28.6042i | −1.00567 | − | 1.00567i | −0.999984 | − | 0.00568467i | \(-0.998191\pi\) |
−0.00568467 | − | 0.999984i | \(-0.501809\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.28061 | + | 5.50588i | 0.0800830 | + | 0.193337i | 0.958850 | − | 0.283914i | \(-0.0916331\pi\) |
−0.878767 | + | 0.477252i | \(0.841633\pi\) | |||||||
\(812\) | 78.1771 | + | 1.82957i | 2.74348 | + | 0.0642053i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 3.30680 | + | 0.698077i | 0.115903 | + | 0.0244676i | ||||
\(815\) | − | 3.77687i | − | 0.132298i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 8.08481i | 0.282852i | ||||||||
\(818\) | −1.99804 | + | 9.46473i | −0.0698597 | + | 0.330926i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 13.8543 | − | 13.2207i | 0.483813 | − | 0.461685i | ||||
\(821\) | 11.9577 | + | 28.8684i | 0.417326 | + | 1.00751i | 0.983119 | + | 0.182967i | \(0.0585701\pi\) |
−0.565793 | + | 0.824547i | \(0.691430\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 23.2555 | + | 23.2555i | 0.810636 | + | 0.810636i | 0.984729 | − | 0.174093i | \(-0.0556993\pi\) |
−0.174093 | + | 0.984729i | \(0.555699\pi\) | |||||||
\(824\) | −7.88241 | − | 5.67681i | −0.274597 | − | 0.197761i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −4.82646 | − | 25.8407i | −0.167934 | − | 0.899112i | ||||
\(827\) | 31.1021 | − | 12.8829i | 1.08153 | − | 0.447983i | 0.230482 | − | 0.973077i | \(-0.425970\pi\) |
0.851044 | + | 0.525094i | \(0.175970\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −10.0291 | + | 24.2123i | −0.348324 | + | 0.840928i | 0.648495 | + | 0.761219i | \(0.275399\pi\) |
−0.996818 | + | 0.0797083i | \(0.974601\pi\) | |||||||
\(830\) | −2.06206 | + | 1.34320i | −0.0715752 | + | 0.0466231i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 29.7891 | + | 2.09451i | 1.03275 | + | 0.0726142i | ||||
\(833\) | −83.6698 | −2.89899 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 6.12989 | − | 14.7989i | 0.212133 | − | 0.512135i | ||||
\(836\) | −7.74045 | − | 3.42051i | −0.267709 | − | 0.118301i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −8.81113 | − | 47.1744i | −0.304375 | − | 1.62961i | ||||
\(839\) | −13.7113 | + | 13.7113i | −0.473368 | + | 0.473368i | −0.903003 | − | 0.429635i | \(-0.858642\pi\) |
0.429635 | + | 0.903003i | \(0.358642\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.8631 | − | 25.8631i | −0.891832 | − | 0.891832i | ||||
\(842\) | 21.0162 | − | 30.6701i | 0.724267 | − | 1.05696i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 5.67299 | − | 5.41354i | 0.195272 | − | 0.186342i | ||||
\(845\) | −0.743930 | − | 0.308146i | −0.0255920 | − | 0.0106005i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 31.4117i | − | 1.07932i | ||||||
\(848\) | 9.86816 | − | 20.9887i | 0.338874 | − | 0.720755i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −30.2115 | − | 6.37776i | −1.03625 | − | 0.218755i | ||||
\(851\) | −0.964794 | − | 0.399631i | −0.0330727 | − | 0.0136992i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −0.834820 | − | 2.01543i | −0.0285837 | − | 0.0690071i | 0.908943 | − | 0.416920i | \(-0.136890\pi\) |
−0.937527 | + | 0.347913i | \(0.886890\pi\) | |||||||
\(854\) | 81.5213 | + | 55.8613i | 2.78960 | + | 1.91153i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 4.74041 | − | 2.93220i | 0.162024 | − | 0.100221i | ||||
\(857\) | −34.1542 | + | 34.1542i | −1.16669 | + | 1.16669i | −0.183705 | + | 0.982981i | \(0.558809\pi\) |
−0.982981 | + | 0.183705i | \(0.941191\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −17.2978 | + | 7.16498i | −0.590193 | + | 0.244466i | −0.657734 | − | 0.753251i | \(-0.728485\pi\) |
0.0675407 | + | 0.997717i | \(0.478485\pi\) | |||||||
\(860\) | −6.51334 | + | 2.52105i | −0.222103 | + | 0.0859669i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 5.15080 | + | 7.90744i | 0.175437 | + | 0.269329i | ||||
\(863\) | −21.4602 | −0.730513 | −0.365256 | − | 0.930907i | \(-0.619019\pi\) | ||||
−0.365256 | + | 0.930907i | \(0.619019\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.186315 | 0.00633491 | ||||||||
\(866\) | −10.4881 | − | 16.1012i | −0.356400 | − | 0.547141i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 26.0101 | + | 67.1994i | 0.882840 | + | 2.28090i | ||||
\(869\) | 18.9807 | − | 7.86205i | 0.643875 | − | 0.266702i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −10.3320 | + | 10.3320i | −0.350086 | + | 0.350086i | ||||
\(872\) | −0.348350 | + | 1.47812i | −0.0117966 | + | 0.0500555i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.15701 | + | 1.47806i | 0.0729620 | + | 0.0499961i | ||||
\(875\) | −14.7453 | − | 35.5984i | −0.498483 | − | 1.20344i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 9.14100 | + | 3.78632i | 0.308670 | + | 0.127855i | 0.531641 | − | 0.846970i | \(-0.321576\pi\) |
−0.222971 | + | 0.974825i | \(0.571576\pi\) | |||||||
\(878\) | 19.3252 | + | 4.07961i | 0.652193 | + | 0.137680i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.341988 | − | 7.30252i | 0.0115284 | − | 0.246168i | ||||
\(881\) | 22.2039i | 0.748068i | 0.927415 | + | 0.374034i | \(0.122026\pi\) | ||||
−0.927415 | + | 0.374034i | \(0.877974\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 36.2230 | + | 15.0040i | 1.21900 | + | 0.504926i | 0.897091 | − | 0.441845i | \(-0.145676\pi\) |
0.321908 | + | 0.946771i | \(0.395676\pi\) | |||||||
\(884\) | 26.4359 | + | 27.7029i | 0.889135 | + | 0.931749i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 14.0183 | − | 20.4576i | 0.470952 | − | 0.687286i | ||||
\(887\) | 6.37890 | + | 6.37890i | 0.214183 | + | 0.214183i | 0.806042 | − | 0.591859i | \(-0.201606\pi\) |
−0.591859 | + | 0.806042i | \(0.701606\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −55.9533 | + | 55.9533i | −1.87661 | + | 1.87661i | ||||
\(890\) | −2.88667 | − | 15.4551i | −0.0967613 | − | 0.518056i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 17.0390 | − | 38.5585i | 0.570508 | − | 1.29103i | ||||
\(893\) | 6.51576 | − | 15.7304i | 0.218042 | − | 0.526399i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −17.9755 | −0.600856 | ||||||||
\(896\) | −6.23857 | − | 54.2688i | −0.208416 | − | 1.81299i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 21.1831 | − | 13.7984i | 0.706889 | − | 0.460458i | ||||
\(899\) | 23.1241 | − | 55.8266i | 0.771233 | − | 1.86192i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 27.4759 | − | 11.3809i | 0.915356 | − | 0.379153i | ||||
\(902\) | −6.11374 | − | 32.7327i | −0.203565 | − | 1.08988i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 15.4762 | − | 2.51741i | 0.514729 | − | 0.0837279i | ||||
\(905\) | 12.2751 | + | 12.2751i | 0.408039 | + | 0.408039i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −0.128881 | − | 0.311146i | −0.00427941 | − | 0.0103314i | 0.921725 | − | 0.387843i | \(-0.126780\pi\) |
−0.926005 | + | 0.377512i | \(0.876780\pi\) | |||||||
\(908\) | 15.4420 | + | 16.1821i | 0.512462 | + | 0.537023i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −4.53875 | + | 21.5001i | −0.150458 | + | 0.712721i | ||||
\(911\) | 21.7326i | 0.720034i | 0.932946 | + | 0.360017i | \(0.117229\pi\) | ||||
−0.932946 | + | 0.360017i | \(0.882771\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.27917i | 0.141620i | ||||||||
\(914\) | 4.32790 | + | 0.913634i | 0.143154 | + | 0.0302203i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.622104 | + | 26.5824i | −0.0205549 | + | 0.878306i | ||||
\(917\) | −31.3834 | − | 75.7663i | −1.03637 | − | 2.50202i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 10.6016 | + | 10.6016i | 0.349715 | + | 0.349715i | 0.860004 | − | 0.510288i | \(-0.170461\pi\) |
−0.510288 | + | 0.860004i | \(0.670461\pi\) | |||||||
\(920\) | −0.518156 | + | 2.19864i | −0.0170831 | + | 0.0724872i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0.559668 | − | 0.104534i | 0.0184317 | − | 0.00344263i | ||||
\(923\) | −17.8206 | + | 7.38153i | −0.586572 | + | 0.242966i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.83633 | + | 4.43330i | −0.0603782 | + | 0.145766i | ||||
\(926\) | −18.7658 | − | 28.8091i | −0.616684 | − | 0.946725i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −27.6332 | + | 36.5355i | −0.907103 | + | 1.19934i | ||||
\(929\) | 17.9213 | 0.587980 | 0.293990 | − | 0.955809i | \(-0.405017\pi\) | ||||
0.293990 | + | 0.955809i | \(0.405017\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 12.4596 | − | 30.0802i | 0.408348 | − | 0.985839i | ||||
\(932\) | 53.8016 | − | 20.8244i | 1.76233 | − | 0.682124i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 27.5851 | − | 5.15228i | 0.902611 | − | 0.168588i | ||||
\(935\) | 6.62854 | − | 6.62854i | 0.216776 | − | 0.216776i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.04430 | − | 6.04430i | −0.197459 | − | 0.197459i | 0.601451 | − | 0.798910i | \(-0.294589\pi\) |
−0.798910 | + | 0.601451i | \(0.794589\pi\) | |||||||
\(938\) | 22.0485 | + | 15.1084i | 0.719909 | + | 0.493307i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 14.7047 | + | 0.344131i | 0.479613 | + | 0.0112243i | ||||
\(941\) | 24.4987 | + | 10.1477i | 0.798636 | + | 0.330806i | 0.744410 | − | 0.667723i | \(-0.232731\pi\) |
0.0542261 | + | 0.998529i | \(0.482731\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 10.2890i | 0.335055i | ||||||||
\(944\) | 13.9358 | + | 6.55212i | 0.453571 | + | 0.213253i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.50843 | + | 11.8825i | −0.0815560 | + | 0.386332i | ||||
\(947\) | 41.8476 | + | 17.3339i | 1.35987 | + | 0.563275i | 0.939022 | − | 0.343858i | \(-0.111734\pi\) |
0.420844 | + | 0.907133i | \(0.361734\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.76233 | + | 6.66886i | 0.0896692 | + | 0.216480i | ||||
\(950\) | 6.79180 | − | 9.91163i | 0.220355 | − | 0.321576i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 40.9354 | − | 56.8399i | 1.32672 | − | 1.84219i | ||||
\(953\) | 3.03378 | − | 3.03378i | 0.0982737 | − | 0.0982737i | −0.656261 | − | 0.754534i | \(-0.727863\pi\) |
0.754534 | + | 0.656261i | \(0.227863\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 3.33360 | − | 1.38082i | 0.107873 | − | 0.0446823i | ||||
\(956\) | −26.5660 | − | 11.7395i | −0.859207 | − | 0.379684i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −8.96281 | + | 5.83825i | −0.289575 | + | 0.188625i | ||||
\(959\) | 7.71871 | 0.249250 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 24.6809 | 0.796159 | ||||||||
\(962\) | 4.98635 | − | 3.24804i | 0.160766 | − | 0.104721i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −13.6267 | − | 6.02162i | −0.438885 | − | 0.193943i | ||||
\(965\) | −10.1554 | + | 4.20649i | −0.326912 | + | 0.135412i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −6.04796 | + | 6.04796i | −0.194489 | + | 0.194489i | −0.797633 | − | 0.603143i | \(-0.793915\pi\) |
0.603143 | + | 0.797633i | \(0.293915\pi\) | |||||||
\(968\) | 14.9317 | + | 10.7536i | 0.479923 | + | 0.345634i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 10.8200 | − | 15.7902i | 0.347410 | − | 0.506994i | ||||
\(971\) | 19.9364 | + | 48.1308i | 0.639791 | + | 1.54459i | 0.826958 | + | 0.562264i | \(0.190070\pi\) |
−0.187167 | + | 0.982328i | \(0.559930\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 67.4474 | + | 27.9376i | 2.16226 | + | 0.895639i | ||||
\(974\) | −2.08856 | + | 9.89352i | −0.0669217 | + | 0.317009i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −54.4623 | + | 19.6277i | −1.74329 | + | 0.628268i | ||||
\(977\) | 33.1323i | 1.06000i | 0.847998 | + | 0.529999i | \(0.177808\pi\) | ||||
−0.847998 | + | 0.529999i | \(0.822192\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −25.2574 | − | 10.4620i | −0.807231 | − | 0.334366i | ||||
\(980\) | 28.1187 | + | 0.658058i | 0.898218 | + | 0.0210209i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −26.6461 | − | 18.2588i | −0.850310 | − | 0.582662i | ||||
\(983\) | −25.7915 | − | 25.7915i | −0.822621 | − | 0.822621i | 0.163862 | − | 0.986483i | \(-0.447605\pi\) |
−0.986483 | + | 0.163862i | \(0.947605\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 15.6408 | − | 15.6408i | 0.498359 | − | 0.498359i | ||||
\(986\) | −57.7411 | + | 10.7848i | −1.83885 | + | 0.343457i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −13.8962 | + | 5.37863i | −0.442096 | + | 0.171117i | ||||
\(989\) | 1.43601 | − | 3.46683i | 0.0456624 | − | 0.110239i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.48501 | −0.142471 | −0.0712356 | − | 0.997460i | \(-0.522694\pi\) | ||||
−0.0712356 | + | 0.997460i | \(0.522694\pi\) | |||||||
\(992\) | −40.8479 | − | 10.6413i | −1.29692 | − | 0.337862i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 19.2582 | + | 29.5650i | 0.610835 | + | 0.937745i | ||||
\(995\) | −0.793585 | + | 1.91588i | −0.0251583 | + | 0.0607376i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 4.06177 | − | 1.68244i | 0.128638 | − | 0.0532834i | −0.317436 | − | 0.948280i | \(-0.602822\pi\) |
0.446074 | + | 0.894996i | \(0.352822\pi\) | |||||||
\(998\) | 17.8088 | − | 3.32629i | 0.563728 | − | 0.105292i | ||||
\(999\) | 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 | 864.2.v.a.109.6 | ✓ | 128 | |
3.2 | odd | 2 | inner | 864.2.v.a.109.27 | yes | 128 | |
32.5 | even | 8 | inner | 864.2.v.a.325.6 | yes | 128 | |
96.5 | odd | 8 | inner | 864.2.v.a.325.27 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.v.a.109.6 | ✓ | 128 | 1.1 | even | 1 | trivial | |
864.2.v.a.109.27 | yes | 128 | 3.2 | odd | 2 | inner | |
864.2.v.a.325.6 | yes | 128 | 32.5 | even | 8 | inner | |
864.2.v.a.325.27 | yes | 128 | 96.5 | odd | 8 | inner |