Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(143,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([27, 34]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bb (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 243.2 | ||
Character | \(\chi\) | \(=\) | 950.243 |
Dual form | 950.2.bb.d.907.2 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{11}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.422618 | − | 0.906308i | −0.298836 | − | 0.640856i | ||||
\(3\) | −1.05824 | − | 0.740990i | −0.610977 | − | 0.427811i | 0.226709 | − | 0.973963i | \(-0.427203\pi\) |
−0.837686 | + | 0.546152i | \(0.816092\pi\) | |||||||
\(4\) | −0.642788 | + | 0.766044i | −0.321394 | + | 0.383022i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.224332 | + | 1.27225i | −0.0915832 | + | 0.519394i | ||||
\(7\) | 1.24089 | + | 4.63106i | 0.469011 | + | 1.75037i | 0.643236 | + | 0.765668i | \(0.277592\pi\) |
−0.174224 | + | 0.984706i | \(0.555742\pi\) | |||||||
\(8\) | 0.965926 | + | 0.258819i | 0.341506 | + | 0.0915064i | ||||
\(9\) | −0.455247 | − | 1.25078i | −0.151749 | − | 0.416927i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.369087 | − | 0.639278i | −0.111284 | − | 0.192750i | 0.805004 | − | 0.593269i | \(-0.202163\pi\) |
−0.916288 | + | 0.400519i | \(0.868830\pi\) | |||||||
\(12\) | 1.24786 | − | 0.334362i | 0.360225 | − | 0.0965221i | ||||
\(13\) | 0.909977 | + | 1.29958i | 0.252382 | + | 0.360439i | 0.925272 | − | 0.379303i | \(-0.123836\pi\) |
−0.672890 | + | 0.739742i | \(0.734947\pi\) | |||||||
\(14\) | 3.67274 | − | 3.08179i | 0.981581 | − | 0.823644i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.173648 | − | 0.984808i | −0.0434120 | − | 0.246202i | ||||
\(17\) | −6.21911 | + | 2.90002i | −1.50835 | + | 0.703357i | −0.988545 | − | 0.150925i | \(-0.951775\pi\) |
−0.519810 | + | 0.854282i | \(0.673997\pi\) | |||||||
\(18\) | −0.941197 | + | 0.941197i | −0.221842 | + | 0.221842i | ||||
\(19\) | −3.02046 | − | 3.14274i | −0.692941 | − | 0.720994i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.11841 | − | 5.82027i | 0.462274 | − | 1.27009i | ||||
\(22\) | −0.423400 | + | 0.604678i | −0.0902691 | + | 0.128918i | ||||
\(23\) | −0.682725 | − | 7.80358i | −0.142358 | − | 1.62716i | −0.646064 | − | 0.763284i | \(-0.723586\pi\) |
0.503706 | − | 0.863875i | \(-0.331970\pi\) | |||||||
\(24\) | −0.830403 | − | 0.989635i | −0.169505 | − | 0.202008i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.793248 | − | 1.37395i | 0.155569 | − | 0.269453i | ||||
\(27\) | −1.44814 | + | 5.40454i | −0.278695 | + | 1.04010i | ||||
\(28\) | −4.34522 | − | 2.02621i | −0.821170 | − | 0.382918i | ||||
\(29\) | 7.82931 | − | 2.84963i | 1.45387 | − | 0.529164i | 0.510197 | − | 0.860057i | \(-0.329572\pi\) |
0.943668 | + | 0.330894i | \(0.107350\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.87983 | − | 5.12677i | −1.59487 | − | 0.920796i | −0.992455 | − | 0.122609i | \(-0.960874\pi\) |
−0.602410 | − | 0.798187i | \(-0.705793\pi\) | |||||||
\(32\) | −0.819152 | + | 0.573576i | −0.144807 | + | 0.101395i | ||||
\(33\) | −0.0831144 | + | 0.950002i | −0.0144684 | + | 0.165374i | ||||
\(34\) | 5.25662 | + | 4.41082i | 0.901502 | + | 0.756450i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.25078 | + | 0.455247i | 0.208464 | + | 0.0758745i | ||||
\(37\) | −1.67273 | − | 1.67273i | −0.274995 | − | 0.274995i | 0.556112 | − | 0.831107i | \(-0.312292\pi\) |
−0.831107 | + | 0.556112i | \(0.812292\pi\) | |||||||
\(38\) | −1.57179 | + | 4.06565i | −0.254978 | + | 0.659535i | ||||
\(39\) | − | 2.04956i | − | 0.328192i | ||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.65748 | + | 0.644912i | −0.571202 | + | 0.100718i | −0.451787 | − | 0.892126i | \(-0.649213\pi\) |
−0.119416 | + | 0.992844i | \(0.538102\pi\) | |||||||
\(42\) | −6.17023 | + | 0.539825i | −0.952088 | + | 0.0832969i | ||||
\(43\) | −8.17682 | − | 0.715379i | −1.24695 | − | 0.109094i | −0.555501 | − | 0.831516i | \(-0.687473\pi\) |
−0.691453 | + | 0.722422i | \(0.743029\pi\) | |||||||
\(44\) | 0.726960 | + | 0.128183i | 0.109593 | + | 0.0193243i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.78391 | + | 3.91669i | −1.00023 | + | 0.577485i | ||||
\(47\) | 0.795897 | − | 1.70681i | 0.116094 | − | 0.248963i | −0.839672 | − | 0.543095i | \(-0.817252\pi\) |
0.955765 | + | 0.294131i | \(0.0950303\pi\) | |||||||
\(48\) | −0.545971 | + | 1.17084i | −0.0788041 | + | 0.168996i | ||||
\(49\) | −13.8447 | + | 7.99324i | −1.97781 | + | 1.14189i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 8.73021 | + | 1.53937i | 1.22247 | + | 0.215555i | ||||
\(52\) | −1.58046 | − | 0.138272i | −0.219170 | − | 0.0191749i | ||||
\(53\) | 1.09996 | − | 0.0962340i | 0.151091 | − | 0.0132188i | −0.0113592 | − | 0.999935i | \(-0.503616\pi\) |
0.162450 | + | 0.986717i | \(0.448060\pi\) | |||||||
\(54\) | 5.51019 | − | 0.971594i | 0.749841 | − | 0.132217i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 4.79442i | 0.640681i | ||||||||
\(57\) | 0.867643 | + | 5.56392i | 0.114922 | + | 0.736959i | ||||
\(58\) | −5.89145 | − | 5.89145i | −0.773586 | − | 0.773586i | ||||
\(59\) | −6.79262 | − | 2.47231i | −0.884323 | − | 0.321867i | −0.140370 | − | 0.990099i | \(-0.544829\pi\) |
−0.743953 | + | 0.668232i | \(0.767051\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.548135 | − | 0.459940i | −0.0701815 | − | 0.0588893i | 0.607022 | − | 0.794685i | \(-0.292364\pi\) |
−0.677204 | + | 0.735796i | \(0.736808\pi\) | |||||||
\(62\) | −0.893656 | + | 10.2145i | −0.113494 | + | 1.29725i | ||||
\(63\) | 5.22753 | − | 3.66035i | 0.658607 | − | 0.461161i | ||||
\(64\) | 0.866025 | + | 0.500000i | 0.108253 | + | 0.0625000i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.896120 | − | 0.326161i | 0.110305 | − | 0.0401477i | ||||
\(67\) | 2.22487 | + | 1.03748i | 0.271812 | + | 0.126748i | 0.553745 | − | 0.832686i | \(-0.313198\pi\) |
−0.281934 | + | 0.959434i | \(0.590976\pi\) | |||||||
\(68\) | 1.77602 | − | 6.62821i | 0.215374 | − | 0.803788i | ||||
\(69\) | −5.05989 | + | 8.76398i | −0.609139 | + | 1.05506i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.62222 | + | 6.70030i | 0.667234 | + | 0.795179i | 0.988405 | − | 0.151842i | \(-0.0485206\pi\) |
−0.321170 | + | 0.947021i | \(0.604076\pi\) | |||||||
\(72\) | −0.116009 | − | 1.32599i | −0.0136718 | − | 0.156269i | ||||
\(73\) | −1.93495 | + | 2.76339i | −0.226468 | + | 0.323430i | −0.916265 | − | 0.400573i | \(-0.868811\pi\) |
0.689797 | + | 0.724003i | \(0.257700\pi\) | |||||||
\(74\) | −0.809081 | + | 2.22293i | −0.0940537 | + | 0.258411i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.34899 | − | 0.293692i | 0.498864 | − | 0.0336888i | ||||
\(77\) | 2.50254 | − | 2.50254i | 0.285191 | − | 0.285191i | ||||
\(78\) | −1.85753 | + | 0.866180i | −0.210324 | + | 0.0980756i | ||||
\(79\) | 2.39694 | + | 13.5937i | 0.269676 | + | 1.52941i | 0.755380 | + | 0.655287i | \(0.227452\pi\) |
−0.485704 | + | 0.874124i | \(0.661437\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 2.47826 | − | 2.07950i | 0.275362 | − | 0.231056i | ||||
\(82\) | 2.13021 | + | 3.04225i | 0.235242 | + | 0.335960i | ||||
\(83\) | −7.25260 | + | 1.94333i | −0.796076 | + | 0.213308i | −0.633861 | − | 0.773447i | \(-0.718531\pi\) |
−0.162216 | + | 0.986755i | \(0.551864\pi\) | |||||||
\(84\) | 3.09690 | + | 5.36399i | 0.337900 | + | 0.585259i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 2.80732 | + | 7.71305i | 0.302721 | + | 0.831720i | ||||
\(87\) | −10.3969 | − | 2.78583i | −1.11466 | − | 0.298672i | ||||
\(88\) | −0.191054 | − | 0.713022i | −0.0203664 | − | 0.0760084i | ||||
\(89\) | 1.32080 | − | 7.49061i | 0.140004 | − | 0.794003i | −0.831239 | − | 0.555915i | \(-0.812368\pi\) |
0.971243 | − | 0.238088i | \(-0.0765208\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.88925 | + | 5.82679i | −0.512533 | + | 0.610813i | ||||
\(92\) | 6.41674 | + | 4.49305i | 0.668991 | + | 0.468433i | ||||
\(93\) | 5.59814 | + | 12.0052i | 0.580500 | + | 1.24489i | ||||
\(94\) | −1.88325 | −0.194243 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.29188 | 0.131852 | ||||||||
\(97\) | 0.918712 | + | 1.97018i | 0.0932811 | + | 0.200042i | 0.947412 | − | 0.320016i | \(-0.103688\pi\) |
−0.854131 | + | 0.520058i | \(0.825910\pi\) | |||||||
\(98\) | 13.0954 | + | 9.16946i | 1.32283 | + | 0.926256i | ||||
\(99\) | −0.631571 | + | 0.752677i | −0.0634753 | + | 0.0756469i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.747923 | − | 4.24168i | 0.0744211 | − | 0.422063i | −0.924721 | − | 0.380646i | \(-0.875702\pi\) |
0.999142 | − | 0.0414171i | \(-0.0131873\pi\) | |||||||
\(102\) | −2.29440 | − | 8.56283i | −0.227180 | − | 0.847846i | ||||
\(103\) | −12.2405 | − | 3.27983i | −1.20609 | − | 0.323171i | −0.400865 | − | 0.916137i | \(-0.631290\pi\) |
−0.805228 | + | 0.592966i | \(0.797957\pi\) | |||||||
\(104\) | 0.542613 | + | 1.49082i | 0.0532076 | + | 0.146187i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.552081 | − | 0.956232i | −0.0536228 | − | 0.0928775i | ||||
\(107\) | 4.16763 | − | 1.11671i | 0.402900 | − | 0.107957i | −0.0516776 | − | 0.998664i | \(-0.516457\pi\) |
0.454578 | + | 0.890707i | \(0.349790\pi\) | |||||||
\(108\) | −3.20927 | − | 4.58331i | −0.308812 | − | 0.441029i | ||||
\(109\) | −2.13296 | + | 1.78976i | −0.204300 | + | 0.171428i | −0.739197 | − | 0.673489i | \(-0.764795\pi\) |
0.534897 | + | 0.844917i | \(0.320350\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.530679 | + | 3.00963i | 0.0503698 | + | 0.285661i | ||||
\(112\) | 4.34522 | − | 2.02621i | 0.410585 | − | 0.191459i | ||||
\(113\) | 3.54197 | − | 3.54197i | 0.333200 | − | 0.333200i | −0.520600 | − | 0.853800i | \(-0.674292\pi\) |
0.853800 | + | 0.520600i | \(0.174292\pi\) | |||||||
\(114\) | 4.67594 | − | 3.13776i | 0.437942 | − | 0.293879i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −2.84963 | + | 7.82931i | −0.264582 | + | 0.726933i | ||||
\(117\) | 1.21123 | − | 1.72981i | 0.111978 | − | 0.159921i | ||||
\(118\) | 0.630010 | + | 7.20104i | 0.0579971 | + | 0.662910i | ||||
\(119\) | −21.1474 | − | 25.2024i | −1.93857 | − | 2.31030i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.22755 | − | 9.05438i | 0.475232 | − | 0.823125i | ||||
\(122\) | −0.185195 | + | 0.691158i | −0.0167668 | + | 0.0625745i | ||||
\(123\) | 4.34838 | + | 2.02768i | 0.392080 | + | 0.182830i | ||||
\(124\) | 9.63518 | − | 3.50692i | 0.865265 | − | 0.314931i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −5.52666 | − | 3.19082i | −0.492354 | − | 0.284261i | ||||
\(127\) | −12.0101 | + | 8.40959i | −1.06573 | + | 0.746231i | −0.968495 | − | 0.249031i | \(-0.919888\pi\) |
−0.0972323 | + | 0.995262i | \(0.530999\pi\) | |||||||
\(128\) | 0.0871557 | − | 0.996195i | 0.00770355 | − | 0.0880520i | ||||
\(129\) | 8.12298 | + | 6.81599i | 0.715189 | + | 0.600115i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −12.8132 | − | 4.66362i | −1.11949 | − | 0.407462i | −0.285026 | − | 0.958520i | \(-0.592002\pi\) |
−0.834468 | + | 0.551057i | \(0.814225\pi\) | |||||||
\(132\) | −0.674319 | − | 0.674319i | −0.0586919 | − | 0.0586919i | ||||
\(133\) | 10.8062 | − | 17.8877i | 0.937012 | − | 1.55106i | ||||
\(134\) | − | 2.45488i | − | 0.212069i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −6.75778 | + | 1.19158i | −0.579474 | + | 0.102177i | ||||
\(137\) | −4.44500 | + | 0.388887i | −0.379762 | + | 0.0332249i | −0.275439 | − | 0.961319i | \(-0.588823\pi\) |
−0.104323 | + | 0.994543i | \(0.533268\pi\) | |||||||
\(138\) | 10.0813 | + | 0.881996i | 0.858174 | + | 0.0750805i | ||||
\(139\) | −8.03402 | − | 1.41661i | −0.681436 | − | 0.120156i | −0.177794 | − | 0.984068i | \(-0.556896\pi\) |
−0.503643 | + | 0.863912i | \(0.668007\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.10698 | + | 1.21647i | −0.177440 | + | 0.102445i | ||||
\(142\) | 3.69648 | − | 7.92713i | 0.310202 | − | 0.665230i | ||||
\(143\) | 0.494933 | − | 1.06139i | 0.0413884 | − | 0.0887577i | ||||
\(144\) | −1.15273 | + | 0.665527i | −0.0960605 | + | 0.0554606i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 3.32222 | + | 0.585798i | 0.274949 | + | 0.0484810i | ||||
\(147\) | 20.5740 | + | 1.79999i | 1.69691 | + | 0.148461i | ||||
\(148\) | 2.35659 | − | 0.206175i | 0.193711 | − | 0.0169475i | ||||
\(149\) | 15.0889 | − | 2.66058i | 1.23613 | − | 0.217964i | 0.482875 | − | 0.875689i | \(-0.339592\pi\) |
0.753258 | + | 0.657726i | \(0.228481\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 3.73791i | − | 0.304187i | −0.988366 | − | 0.152093i | \(-0.951399\pi\) | ||
0.988366 | − | 0.152093i | \(-0.0486015\pi\) | |||||||
\(152\) | −2.10414 | − | 3.81741i | −0.170668 | − | 0.309633i | ||||
\(153\) | 6.45852 | + | 6.45852i | 0.522140 | + | 0.522140i | ||||
\(154\) | −3.32569 | − | 1.21045i | −0.267991 | − | 0.0975409i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 1.57005 | + | 1.31743i | 0.125705 | + | 0.105479i | ||||
\(157\) | 1.74862 | − | 19.9868i | 0.139555 | − | 1.59512i | −0.527131 | − | 0.849784i | \(-0.676732\pi\) |
0.666686 | − | 0.745338i | \(-0.267712\pi\) | |||||||
\(158\) | 11.3071 | − | 7.91731i | 0.899543 | − | 0.629867i | ||||
\(159\) | −1.23533 | − | 0.713221i | −0.0979684 | − | 0.0565621i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 35.2916 | − | 12.8451i | 2.78137 | − | 1.01234i | ||||
\(162\) | −2.93203 | − | 1.36723i | −0.230362 | − | 0.107419i | ||||
\(163\) | −2.86904 | + | 10.7074i | −0.224721 | + | 0.838669i | 0.757796 | + | 0.652492i | \(0.226276\pi\) |
−0.982516 | + | 0.186177i | \(0.940390\pi\) | |||||||
\(164\) | 1.85695 | − | 3.21633i | 0.145003 | − | 0.251153i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.82633 | + | 5.75180i | 0.374596 | + | 0.446426i | ||||
\(167\) | −1.36812 | − | 15.6376i | −0.105868 | − | 1.21008i | −0.844345 | − | 0.535799i | \(-0.820010\pi\) |
0.738477 | − | 0.674278i | \(-0.235545\pi\) | |||||||
\(168\) | 3.55262 | − | 5.07367i | 0.274091 | − | 0.391442i | ||||
\(169\) | 3.58541 | − | 9.85083i | 0.275801 | − | 0.757756i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.55583 | + | 5.20866i | −0.195449 | + | 0.398316i | ||||
\(172\) | 5.80397 | − | 5.80397i | 0.442549 | − | 0.442549i | ||||
\(173\) | −17.6944 | + | 8.25103i | −1.34528 | + | 0.627314i | −0.955881 | − | 0.293755i | \(-0.905095\pi\) |
−0.389399 | + | 0.921069i | \(0.627317\pi\) | |||||||
\(174\) | 1.86908 | + | 10.6001i | 0.141695 | + | 0.803592i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −0.565475 | + | 0.474490i | −0.0426243 | + | 0.0357660i | ||||
\(177\) | 5.35629 | + | 7.64957i | 0.402603 | + | 0.574977i | ||||
\(178\) | −7.34699 | + | 1.96862i | −0.550680 | + | 0.147554i | ||||
\(179\) | 10.3573 | + | 17.9393i | 0.774139 | + | 1.34085i | 0.935277 | + | 0.353916i | \(0.115150\pi\) |
−0.161138 | + | 0.986932i | \(0.551517\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.45026 | + | 14.9745i | 0.405115 | + | 1.11304i | 0.959727 | + | 0.280934i | \(0.0906443\pi\) |
−0.554612 | + | 0.832109i | \(0.687133\pi\) | |||||||
\(182\) | 7.34715 | + | 1.96866i | 0.544607 | + | 0.145927i | ||||
\(183\) | 0.239250 | + | 0.892892i | 0.0176858 | + | 0.0660045i | ||||
\(184\) | 1.36025 | − | 7.71438i | 0.100279 | − | 0.568712i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 8.51457 | − | 10.1473i | 0.624319 | − | 0.744034i | ||||
\(187\) | 4.14931 | + | 2.90538i | 0.303428 | + | 0.212462i | ||||
\(188\) | 0.795897 | + | 1.70681i | 0.0580468 | + | 0.124482i | ||||
\(189\) | −26.8257 | −1.95128 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −16.3996 | −1.18663 | −0.593317 | − | 0.804969i | \(-0.702182\pi\) | ||||
−0.593317 | + | 0.804969i | \(0.702182\pi\) | |||||||
\(192\) | −0.545971 | − | 1.17084i | −0.0394020 | − | 0.0844980i | ||||
\(193\) | −7.48324 | − | 5.23982i | −0.538655 | − | 0.377171i | 0.272360 | − | 0.962195i | \(-0.412196\pi\) |
−0.811015 | + | 0.585025i | \(0.801085\pi\) | |||||||
\(194\) | 1.39733 | − | 1.66527i | 0.100322 | − | 0.119560i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.77602 | − | 15.7436i | 0.198287 | − | 1.12454i | ||||
\(197\) | −0.656151 | − | 2.44879i | −0.0467488 | − | 0.174469i | 0.938604 | − | 0.344996i | \(-0.112120\pi\) |
−0.985353 | + | 0.170527i | \(0.945453\pi\) | |||||||
\(198\) | 0.949071 | + | 0.254303i | 0.0674475 | + | 0.0180725i | ||||
\(199\) | −3.14532 | − | 8.64168i | −0.222966 | − | 0.612593i | 0.776889 | − | 0.629637i | \(-0.216797\pi\) |
−0.999855 | + | 0.0170446i | \(0.994574\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.58570 | − | 2.74651i | −0.111847 | − | 0.193724i | ||||
\(202\) | −4.16036 | + | 1.11476i | −0.292722 | + | 0.0784345i | ||||
\(203\) | 22.9121 | + | 32.7219i | 1.60811 | + | 2.29663i | ||||
\(204\) | −6.79090 | + | 5.69824i | −0.475458 | + | 0.398957i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 2.20052 | + | 12.4798i | 0.153318 | + | 0.869507i | ||||
\(207\) | −9.44976 | + | 4.40650i | −0.656804 | + | 0.306273i | ||||
\(208\) | 1.12182 | − | 1.12182i | 0.0777844 | − | 0.0777844i | ||||
\(209\) | −0.894272 | + | 3.09086i | −0.0618581 | + | 0.213799i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.10066 | + | 14.0139i | −0.351144 | + | 0.964760i | 0.630860 | + | 0.775897i | \(0.282702\pi\) |
−0.982004 | + | 0.188863i | \(0.939520\pi\) | |||||||
\(212\) | −0.633321 | + | 0.904476i | −0.0434967 | + | 0.0621197i | ||||
\(213\) | −0.984821 | − | 11.2566i | −0.0674788 | − | 0.771286i | ||||
\(214\) | −2.77340 | − | 3.30521i | −0.189586 | − | 0.225940i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −2.79759 | + | 4.84558i | −0.190352 | + | 0.329700i | ||||
\(217\) | 12.7235 | − | 47.4847i | 0.863727 | − | 3.22347i | ||||
\(218\) | 2.52350 | + | 1.17673i | 0.170913 | + | 0.0796981i | ||||
\(219\) | 4.09529 | − | 1.49056i | 0.276734 | − | 0.100723i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −9.42805 | − | 5.44329i | −0.634199 | − | 0.366155i | ||||
\(222\) | 2.50338 | − | 1.75288i | 0.168016 | − | 0.117646i | ||||
\(223\) | 0.0425390 | − | 0.486223i | 0.00284862 | − | 0.0325599i | −0.994637 | − | 0.103424i | \(-0.967020\pi\) |
0.997486 | + | 0.0708642i | \(0.0225757\pi\) | |||||||
\(224\) | −3.67274 | − | 3.08179i | −0.245395 | − | 0.205911i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.70701 | − | 1.71321i | −0.313106 | − | 0.113961i | ||||
\(227\) | 4.99910 | + | 4.99910i | 0.331802 | + | 0.331802i | 0.853271 | − | 0.521468i | \(-0.174616\pi\) |
−0.521468 | + | 0.853271i | \(0.674616\pi\) | |||||||
\(228\) | −4.81992 | − | 2.91176i | −0.319207 | − | 0.192836i | ||||
\(229\) | 1.37503i | 0.0908645i | 0.998967 | + | 0.0454323i | \(0.0144665\pi\) | ||||
−0.998967 | + | 0.0454323i | \(0.985533\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −4.50265 | + | 0.793939i | −0.296253 | + | 0.0522373i | ||||
\(232\) | 8.30007 | − | 0.726162i | 0.544926 | − | 0.0476749i | ||||
\(233\) | 3.29263 | + | 0.288068i | 0.215707 | + | 0.0188719i | 0.194497 | − | 0.980903i | \(-0.437693\pi\) |
0.0212102 | + | 0.999775i | \(0.493248\pi\) | |||||||
\(234\) | −2.07963 | − | 0.366695i | −0.135950 | − | 0.0239716i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 6.26011 | − | 3.61428i | 0.407498 | − | 0.235269i | ||||
\(237\) | 7.53626 | − | 16.1616i | 0.489532 | − | 1.04981i | ||||
\(238\) | −13.9039 | + | 29.8170i | −0.901256 | + | 1.93275i | ||||
\(239\) | 16.2393 | − | 9.37579i | 1.05044 | − | 0.606469i | 0.127665 | − | 0.991817i | \(-0.459252\pi\) |
0.922771 | + | 0.385348i | \(0.125919\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.15659 | + | 1.26190i | 0.460997 | + | 0.0812861i | 0.399323 | − | 0.916810i | \(-0.369245\pi\) |
0.0616734 | + | 0.998096i | \(0.480356\pi\) | |||||||
\(242\) | −10.4153 | − | 0.911222i | −0.669522 | − | 0.0585756i | ||||
\(243\) | 12.5582 | − | 1.09870i | 0.805609 | − | 0.0704817i | ||||
\(244\) | 0.704669 | − | 0.124252i | 0.0451118 | − | 0.00795443i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | − | 4.79790i | − | 0.305903i | ||||||
\(247\) | 1.33570 | − | 6.78515i | 0.0849885 | − | 0.431729i | ||||
\(248\) | −7.25035 | − | 7.25035i | −0.460398 | − | 0.460398i | ||||
\(249\) | 9.11500 | + | 3.31759i | 0.577640 | + | 0.210244i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −4.00381 | − | 3.35960i | −0.252718 | − | 0.212056i | 0.507623 | − | 0.861579i | \(-0.330524\pi\) |
−0.760342 | + | 0.649523i | \(0.774969\pi\) | |||||||
\(252\) | −0.556196 | + | 6.35735i | −0.0350371 | + | 0.400475i | ||||
\(253\) | −4.73667 | + | 3.31665i | −0.297792 | + | 0.208516i | ||||
\(254\) | 12.6974 | + | 7.33084i | 0.796705 | + | 0.459978i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 8.07977 | + | 3.76766i | 0.504002 | + | 0.235020i | 0.657954 | − | 0.753058i | \(-0.271422\pi\) |
−0.153951 | + | 0.988078i | \(0.549200\pi\) | |||||||
\(258\) | 2.74447 | − | 10.2425i | 0.170863 | − | 0.637669i | ||||
\(259\) | 5.67083 | − | 9.82216i | 0.352368 | − | 0.610319i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −7.12854 | − | 8.49546i | −0.441245 | − | 0.525856i | ||||
\(262\) | 1.18841 | + | 13.5836i | 0.0734204 | + | 0.839199i | ||||
\(263\) | 15.1892 | − | 21.6924i | 0.936603 | − | 1.33761i | −0.00467925 | − | 0.999989i | \(-0.501489\pi\) |
0.941283 | − | 0.337619i | \(-0.109622\pi\) | |||||||
\(264\) | −0.326161 | + | 0.896120i | −0.0200738 | + | 0.0551524i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −20.7786 | − | 2.23403i | −1.27402 | − | 0.136977i | ||||
\(267\) | −6.94820 | + | 6.94820i | −0.425223 | + | 0.425223i | ||||
\(268\) | −2.22487 | + | 1.03748i | −0.135906 | + | 0.0633739i | ||||
\(269\) | 3.78473 | + | 21.4643i | 0.230759 | + | 1.30870i | 0.851364 | + | 0.524576i | \(0.175776\pi\) |
−0.620604 | + | 0.784124i | \(0.713113\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.26450 | − | 4.41744i | 0.319796 | − | 0.268340i | −0.468731 | − | 0.883341i | \(-0.655289\pi\) |
0.788527 | + | 0.615001i | \(0.210844\pi\) | |||||||
\(272\) | 3.93590 | + | 5.62104i | 0.238649 | + | 0.340826i | ||||
\(273\) | 9.49161 | − | 2.54327i | 0.574459 | − | 0.153926i | ||||
\(274\) | 2.23099 | + | 3.86419i | 0.134779 | + | 0.233444i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −3.46117 | − | 9.50948i | −0.208338 | − | 0.572403i | ||||
\(277\) | 24.5430 | + | 6.57627i | 1.47464 | + | 0.395130i | 0.904521 | − | 0.426430i | \(-0.140229\pi\) |
0.570123 | + | 0.821559i | \(0.306896\pi\) | |||||||
\(278\) | 2.11143 | + | 7.87998i | 0.126635 | + | 0.472610i | ||||
\(279\) | −2.36995 | + | 13.4407i | −0.141885 | + | 0.804673i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.32831 | − | 5.15828i | 0.258206 | − | 0.307717i | −0.621331 | − | 0.783548i | \(-0.713408\pi\) |
0.879537 | + | 0.475830i | \(0.157852\pi\) | |||||||
\(282\) | 1.99294 | + | 1.39547i | 0.118678 | + | 0.0830992i | ||||
\(283\) | 9.15872 | + | 19.6409i | 0.544429 | + | 1.16753i | 0.965476 | + | 0.260493i | \(0.0838851\pi\) |
−0.421047 | + | 0.907039i | \(0.638337\pi\) | |||||||
\(284\) | −8.74662 | −0.519016 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.17111 | −0.0692493 | ||||||||
\(287\) | −7.52514 | − | 16.1377i | −0.444195 | − | 0.952580i | ||||
\(288\) | 1.09034 | + | 0.763461i | 0.0642486 | + | 0.0449874i | ||||
\(289\) | 19.3398 | − | 23.0483i | 1.13764 | − | 1.35578i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.487666 | − | 2.76569i | 0.0285875 | − | 0.162128i | ||||
\(292\) | −0.873119 | − | 3.25853i | −0.0510954 | − | 0.190691i | ||||
\(293\) | 7.53940 | + | 2.02018i | 0.440457 | + | 0.118020i | 0.472231 | − | 0.881475i | \(-0.343449\pi\) |
−0.0317738 | + | 0.999495i | \(0.510116\pi\) | |||||||
\(294\) | −7.06359 | − | 19.4071i | −0.411957 | − | 1.13184i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −1.18280 | − | 2.04866i | −0.0687487 | − | 0.119076i | ||||
\(297\) | 3.98949 | − | 1.06898i | 0.231494 | − | 0.0620286i | ||||
\(298\) | −8.78816 | − | 12.5508i | −0.509085 | − | 0.727048i | ||||
\(299\) | 9.52012 | − | 7.98833i | 0.550563 | − | 0.461977i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −6.83356 | − | 38.7550i | −0.393880 | − | 2.23380i | ||||
\(302\) | −3.38770 | + | 1.57971i | −0.194940 | + | 0.0909020i | ||||
\(303\) | −3.93453 | + | 3.93453i | −0.226033 | + | 0.226033i | ||||
\(304\) | −2.57050 | + | 3.52030i | −0.147428 | + | 0.201903i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 3.12392 | − | 8.58289i | 0.178582 | − | 0.490651i | ||||
\(307\) | 3.06414 | − | 4.37604i | 0.174879 | − | 0.249754i | −0.722138 | − | 0.691749i | \(-0.756840\pi\) |
0.897017 | + | 0.441995i | \(0.145729\pi\) | |||||||
\(308\) | 0.308455 | + | 3.52565i | 0.0175758 | + | 0.200893i | ||||
\(309\) | 10.5231 | + | 12.5410i | 0.598639 | + | 0.713430i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −8.01772 | + | 13.8871i | −0.454643 | + | 0.787465i | −0.998668 | − | 0.0516042i | \(-0.983567\pi\) |
0.544024 | + | 0.839069i | \(0.316900\pi\) | |||||||
\(312\) | 0.530464 | − | 1.97972i | 0.0300316 | − | 0.112080i | ||||
\(313\) | −18.4778 | − | 8.61636i | −1.04443 | − | 0.487025i | −0.176805 | − | 0.984246i | \(-0.556576\pi\) |
−0.867624 | + | 0.497221i | \(0.834354\pi\) | |||||||
\(314\) | −18.8532 | + | 6.86201i | −1.06395 | + | 0.387246i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −11.9541 | − | 6.90170i | −0.672471 | − | 0.388251i | ||||
\(317\) | −15.6247 | + | 10.9405i | −0.877570 | + | 0.614481i | −0.923133 | − | 0.384480i | \(-0.874381\pi\) |
0.0455628 | + | 0.998961i | \(0.485492\pi\) | |||||||
\(318\) | −0.124323 | + | 1.42101i | −0.00697166 | + | 0.0796865i | ||||
\(319\) | −4.71141 | − | 3.95334i | −0.263788 | − | 0.221345i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −5.23784 | − | 1.90642i | −0.292348 | − | 0.106406i | ||||
\(322\) | −26.5565 | − | 26.5565i | −1.47994 | − | 1.47994i | ||||
\(323\) | 27.8986 | + | 10.7857i | 1.55232 | + | 0.600130i | ||||
\(324\) | 3.23513i | 0.179730i | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 10.9167 | − | 1.92491i | 0.604621 | − | 0.106611i | ||||
\(327\) | 3.58338 | − | 0.313505i | 0.198162 | − | 0.0173369i | ||||
\(328\) | −3.69977 | − | 0.323688i | −0.204286 | − | 0.0178727i | ||||
\(329\) | 8.89194 | + | 1.56789i | 0.490228 | + | 0.0864405i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −27.5761 | + | 15.9211i | −1.51572 | + | 0.875101i | −0.515889 | + | 0.856655i | \(0.672538\pi\) |
−0.999830 | + | 0.0184452i | \(0.994128\pi\) | |||||||
\(332\) | 3.17321 | − | 6.80496i | 0.174152 | − | 0.373471i | ||||
\(333\) | −1.33071 | + | 2.85372i | −0.0729226 | + | 0.156383i | ||||
\(334\) | −13.5943 | + | 7.84869i | −0.743849 | + | 0.429461i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −6.09970 | − | 1.07554i | −0.332766 | − | 0.0586757i | ||||
\(337\) | −19.2699 | − | 1.68590i | −1.04970 | − | 0.0918366i | −0.450770 | − | 0.892640i | \(-0.648851\pi\) |
−0.598927 | + | 0.800803i | \(0.704406\pi\) | |||||||
\(338\) | −10.4431 | + | 0.913656i | −0.568032 | + | 0.0496964i | ||||
\(339\) | −6.37283 | + | 1.12370i | −0.346124 | + | 0.0610311i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 7.56891i | 0.409880i | ||||||||
\(342\) | 5.80079 | + | 0.115090i | 0.313671 | + | 0.00622335i | ||||
\(343\) | −30.4657 | − | 30.4657i | −1.64499 | − | 1.64499i | ||||
\(344\) | −7.71305 | − | 2.80732i | −0.415860 | − | 0.151361i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 14.9559 | + | 12.5495i | 0.804036 | + | 0.674667i | ||||
\(347\) | −1.41010 | + | 16.1175i | −0.0756980 | + | 0.865233i | 0.859507 | + | 0.511125i | \(0.170771\pi\) |
−0.935205 | + | 0.354108i | \(0.884785\pi\) | |||||||
\(348\) | 8.81705 | − | 6.17376i | 0.472643 | − | 0.330948i | ||||
\(349\) | 24.2367 | + | 13.9931i | 1.29736 | + | 0.749032i | 0.979948 | − | 0.199254i | \(-0.0638520\pi\) |
0.317414 | + | 0.948287i | \(0.397185\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −8.34141 | + | 3.03602i | −0.445232 | + | 0.162051i | ||||
\(352\) | 0.669014 | + | 0.311966i | 0.0356586 | + | 0.0166279i | ||||
\(353\) | 1.98751 | − | 7.41748i | 0.105784 | − | 0.394792i | −0.892649 | − | 0.450753i | \(-0.851155\pi\) |
0.998433 | + | 0.0559606i | \(0.0178221\pi\) | |||||||
\(354\) | 4.66920 | − | 8.08729i | 0.248165 | − | 0.429835i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 4.88915 | + | 5.82666i | 0.259124 | + | 0.308812i | ||||
\(357\) | 3.70430 | + | 42.3403i | 0.196052 | + | 2.24089i | ||||
\(358\) | 11.8814 | − | 16.9684i | 0.627950 | − | 0.896806i | ||||
\(359\) | −6.23081 | + | 17.1190i | −0.328849 | + | 0.903506i | 0.659554 | + | 0.751657i | \(0.270745\pi\) |
−0.988404 | + | 0.151849i | \(0.951477\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.753638 | + | 18.9850i | −0.0396652 | + | 0.999213i | ||||
\(362\) | 11.2681 | − | 11.2681i | 0.592238 | − | 0.592238i | ||||
\(363\) | −12.2412 | + | 5.70818i | −0.642498 | + | 0.299602i | ||||
\(364\) | −1.32083 | − | 7.49077i | −0.0692300 | − | 0.392623i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0.708123 | − | 0.594186i | 0.0370142 | − | 0.0310586i | ||||
\(367\) | −1.61068 | − | 2.30028i | −0.0840766 | − | 0.120074i | 0.774911 | − | 0.632071i | \(-0.217795\pi\) |
−0.858987 | + | 0.511997i | \(0.828906\pi\) | |||||||
\(368\) | −7.56647 | + | 2.02743i | −0.394430 | + | 0.105687i | ||||
\(369\) | 2.47170 | + | 4.28111i | 0.128672 | + | 0.222866i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.81059 | + | 4.97456i | 0.0940012 | + | 0.258266i | ||||
\(372\) | −12.7950 | − | 3.42840i | −0.663388 | − | 0.177754i | ||||
\(373\) | −1.00013 | − | 3.73255i | −0.0517850 | − | 0.193264i | 0.935188 | − | 0.354153i | \(-0.115231\pi\) |
−0.986973 | + | 0.160888i | \(0.948564\pi\) | |||||||
\(374\) | 0.879593 | − | 4.98842i | 0.0454827 | − | 0.257945i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.21053 | − | 1.44266i | 0.0624284 | − | 0.0743993i | ||||
\(377\) | 10.8278 | + | 7.58172i | 0.557661 | + | 0.390478i | ||||
\(378\) | 11.3370 | + | 24.3123i | 0.583114 | + | 1.25049i | ||||
\(379\) | −23.0971 | −1.18642 | −0.593209 | − | 0.805048i | \(-0.702139\pi\) | ||||
−0.593209 | + | 0.805048i | \(0.702139\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 18.9411 | 0.970381 | ||||||||
\(382\) | 6.93078 | + | 14.8631i | 0.354609 | + | 0.760462i | ||||
\(383\) | 3.61586 | + | 2.53185i | 0.184762 | + | 0.129372i | 0.662298 | − | 0.749240i | \(-0.269581\pi\) |
−0.477536 | + | 0.878612i | \(0.658470\pi\) | |||||||
\(384\) | −0.830403 | + | 0.989635i | −0.0423763 | + | 0.0505021i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −1.58634 | + | 8.99656i | −0.0807424 | + | 0.457913i | ||||
\(387\) | 2.82769 | + | 10.5531i | 0.143740 | + | 0.536444i | ||||
\(388\) | −2.09979 | − | 0.562636i | −0.106600 | − | 0.0285635i | ||||
\(389\) | 7.25446 | + | 19.9315i | 0.367816 | + | 1.01057i | 0.976190 | + | 0.216915i | \(0.0695996\pi\) |
−0.608375 | + | 0.793650i | \(0.708178\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 26.8765 | + | 46.5514i | 1.35920 | + | 2.35420i | ||||
\(392\) | −15.4417 | + | 4.13760i | −0.779926 | + | 0.208981i | ||||
\(393\) | 10.1038 | + | 14.4297i | 0.509668 | + | 0.727882i | ||||
\(394\) | −1.94205 | + | 1.62958i | −0.0978393 | + | 0.0820969i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −0.170618 | − | 0.967623i | −0.00857388 | − | 0.0486249i | ||||
\(397\) | −27.1965 | + | 12.6819i | −1.36495 | + | 0.636488i | −0.960554 | − | 0.278095i | \(-0.910297\pi\) |
−0.404399 | + | 0.914583i | \(0.632519\pi\) | |||||||
\(398\) | −6.50276 | + | 6.50276i | −0.325954 | + | 0.325954i | ||||
\(399\) | −24.6902 | + | 10.9223i | −1.23605 | + | 0.546799i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −1.67191 | + | 4.59355i | −0.0834914 | + | 0.229391i | −0.974412 | − | 0.224768i | \(-0.927838\pi\) |
0.890921 | + | 0.454158i | \(0.150060\pi\) | |||||||
\(402\) | −1.81904 | + | 2.59786i | −0.0907255 | + | 0.129569i | ||||
\(403\) | −1.41778 | − | 16.2053i | −0.0706247 | − | 0.807244i | ||||
\(404\) | 2.76856 | + | 3.29944i | 0.137741 | + | 0.164153i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 19.9730 | − | 34.5943i | 0.991244 | − | 1.71688i | ||||
\(407\) | −0.451956 | + | 1.68672i | −0.0224026 | + | 0.0836077i | ||||
\(408\) | 8.03432 | + | 3.74647i | 0.397758 | + | 0.185478i | ||||
\(409\) | −0.115696 | + | 0.0421098i | −0.00572079 | + | 0.00208220i | −0.344879 | − | 0.938647i | \(-0.612080\pi\) |
0.339158 | + | 0.940729i | \(0.389858\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 4.99206 | + | 2.88217i | 0.246240 | + | 0.142167i | ||||
\(412\) | 10.3805 | − | 7.26853i | 0.511412 | − | 0.358095i | ||||
\(413\) | 3.02053 | − | 34.5248i | 0.148631 | − | 1.69886i | ||||
\(414\) | 7.98729 | + | 6.70213i | 0.392554 | + | 0.329392i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −1.49082 | − | 0.542613i | −0.0730934 | − | 0.0266038i | ||||
\(417\) | 7.45225 | + | 7.45225i | 0.364938 | + | 0.364938i | ||||
\(418\) | 3.17921 | − | 0.495769i | 0.155500 | − | 0.0242488i | ||||
\(419\) | − | 34.8270i | − | 1.70141i | −0.525645 | − | 0.850704i | \(-0.676176\pi\) | ||
0.525645 | − | 0.850704i | \(-0.323824\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 25.0090 | − | 4.40976i | 1.21886 | − | 0.214918i | 0.473027 | − | 0.881048i | \(-0.343161\pi\) |
0.745836 | + | 0.666130i | \(0.232050\pi\) | |||||||
\(422\) | 14.8566 | − | 1.29978i | 0.723207 | − | 0.0632724i | ||||
\(423\) | −2.49717 | − | 0.218474i | −0.121417 | − | 0.0106226i | ||||
\(424\) | 1.08739 | + | 0.191736i | 0.0528082 | + | 0.00931151i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −9.78570 | + | 5.64978i | −0.474119 | + | 0.273733i | ||||
\(427\) | 1.44983 | − | 3.10918i | 0.0701624 | − | 0.150464i | ||||
\(428\) | −1.82345 | + | 3.91040i | −0.0881398 | + | 0.189016i | ||||
\(429\) | −1.31024 | + | 0.756466i | −0.0632589 | + | 0.0365225i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 20.3683 | + | 3.59148i | 0.981106 | + | 0.172995i | 0.641125 | − | 0.767437i | \(-0.278468\pi\) |
0.339981 | + | 0.940432i | \(0.389579\pi\) | |||||||
\(432\) | 5.57390 | + | 0.487653i | 0.268174 | + | 0.0234622i | ||||
\(433\) | 14.9466 | − | 1.30765i | 0.718286 | − | 0.0628419i | 0.277848 | − | 0.960625i | \(-0.410379\pi\) |
0.440438 | + | 0.897783i | \(0.354823\pi\) | |||||||
\(434\) | −48.4130 | + | 8.53651i | −2.32390 | + | 0.409766i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | − | 2.78438i | − | 0.133347i | ||||||
\(437\) | −22.4625 | + | 25.7160i | −1.07453 | + | 1.23016i | ||||
\(438\) | −3.08165 | − | 3.08165i | −0.147247 | − | 0.147247i | ||||
\(439\) | 15.8421 | + | 5.76604i | 0.756101 | + | 0.275198i | 0.691171 | − | 0.722692i | \(-0.257095\pi\) |
0.0649302 | + | 0.997890i | \(0.479318\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 16.3006 | + | 13.6778i | 0.776217 | + | 0.651323i | ||||
\(442\) | −0.948827 | + | 10.8451i | −0.0451311 | + | 0.515851i | ||||
\(443\) | −4.94246 | + | 3.46075i | −0.234823 | + | 0.164425i | −0.685066 | − | 0.728481i | \(-0.740226\pi\) |
0.450242 | + | 0.892906i | \(0.351338\pi\) | |||||||
\(444\) | −2.64662 | − | 1.52803i | −0.125603 | − | 0.0725170i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −0.458645 | + | 0.166933i | −0.0217175 | + | 0.00790451i | ||||
\(447\) | −17.9392 | − | 8.36520i | −0.848496 | − | 0.395660i | ||||
\(448\) | −1.24089 | + | 4.63106i | −0.0586264 | + | 0.218797i | ||||
\(449\) | 5.86960 | − | 10.1664i | 0.277003 | − | 0.479784i | −0.693635 | − | 0.720326i | \(-0.743992\pi\) |
0.970639 | + | 0.240543i | \(0.0773254\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.76221 | + | 2.10012i | 0.0829791 | + | 0.0988907i | ||||
\(452\) | 0.436572 | + | 4.99004i | 0.0205346 | + | 0.234712i | ||||
\(453\) | −2.76975 | + | 3.95562i | −0.130134 | + | 0.185851i | ||||
\(454\) | 2.41801 | − | 6.64344i | 0.113483 | − | 0.311792i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −0.601969 | + | 5.59889i | −0.0281898 | + | 0.262192i | ||||
\(457\) | −3.52025 | + | 3.52025i | −0.164670 | + | 0.164670i | −0.784632 | − | 0.619962i | \(-0.787148\pi\) |
0.619962 | + | 0.784632i | \(0.287148\pi\) | |||||||
\(458\) | 1.24620 | − | 0.581113i | 0.0582311 | − | 0.0271536i | ||||
\(459\) | −6.66710 | − | 37.8110i | −0.311194 | − | 1.76487i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −5.84057 | + | 4.90082i | −0.272022 | + | 0.228254i | −0.768586 | − | 0.639746i | \(-0.779039\pi\) |
0.496564 | + | 0.868000i | \(0.334595\pi\) | |||||||
\(462\) | 2.62245 | + | 3.74525i | 0.122008 | + | 0.174245i | ||||
\(463\) | −30.4522 | + | 8.15964i | −1.41523 | + | 0.379211i | −0.883790 | − | 0.467884i | \(-0.845017\pi\) |
−0.531443 | + | 0.847094i | \(0.678350\pi\) | |||||||
\(464\) | −4.16589 | − | 7.21553i | −0.193396 | − | 0.334972i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.13045 | − | 3.10588i | −0.0523669 | − | 0.143877i | ||||
\(467\) | −13.8839 | − | 3.72017i | −0.642469 | − | 0.172149i | −0.0771474 | − | 0.997020i | \(-0.524581\pi\) |
−0.565321 | + | 0.824871i | \(0.691248\pi\) | |||||||
\(468\) | 0.546551 | + | 2.03976i | 0.0252643 | + | 0.0942878i | ||||
\(469\) | −2.04379 | + | 11.5909i | −0.0943735 | + | 0.535218i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −16.6605 | + | 19.8552i | −0.767676 | + | 0.914880i | ||||
\(472\) | −5.92128 | − | 4.14613i | −0.272549 | − | 0.190841i | ||||
\(473\) | 2.56064 | + | 5.49130i | 0.117738 | + | 0.252490i | ||||
\(474\) | −17.8323 | −0.819065 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 32.8994 | 1.50794 | ||||||||
\(477\) | −0.621122 | − | 1.33200i | −0.0284392 | − | 0.0609881i | ||||
\(478\) | −15.3604 | − | 10.7555i | −0.702568 | − | 0.491943i | ||||
\(479\) | 19.8540 | − | 23.6611i | 0.907152 | − | 1.08110i | −0.0892218 | − | 0.996012i | \(-0.528438\pi\) |
0.996373 | − | 0.0850893i | \(-0.0271176\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.651703 | − | 3.69599i | 0.0297151 | − | 0.168523i | ||||
\(482\) | −1.88084 | − | 7.01938i | −0.0856697 | − | 0.319724i | ||||
\(483\) | −46.8652 | − | 12.5575i | −2.13244 | − | 0.571386i | ||||
\(484\) | 3.57585 | + | 9.82458i | 0.162539 | + | 0.446572i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −6.30309 | − | 10.9173i | −0.285914 | − | 0.495217i | ||||
\(487\) | 2.51254 | − | 0.673233i | 0.113854 | − | 0.0305071i | −0.201442 | − | 0.979500i | \(-0.564563\pi\) |
0.315296 | + | 0.948993i | \(0.397896\pi\) | |||||||
\(488\) | −0.410417 | − | 0.586136i | −0.0185787 | − | 0.0265331i | ||||
\(489\) | 10.9702 | − | 9.20511i | 0.496091 | − | 0.416270i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −4.94664 | − | 28.0538i | −0.223239 | − | 1.26605i | −0.866024 | − | 0.500002i | \(-0.833332\pi\) |
0.642785 | − | 0.766046i | \(-0.277779\pi\) | |||||||
\(492\) | −4.34838 | + | 2.02768i | −0.196040 | + | 0.0914150i | ||||
\(493\) | −40.4273 | + | 40.4273i | −1.82075 | + | 1.82075i | ||||
\(494\) | −6.71393 | + | 1.65698i | −0.302074 | + | 0.0745509i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.50692 | + | 9.63518i | −0.157465 | + | 0.432633i | ||||
\(497\) | −24.0529 | + | 34.3511i | −1.07892 | + | 1.54086i | ||||
\(498\) | −0.845409 | − | 9.66307i | −0.0378837 | − | 0.433013i | ||||
\(499\) | 16.3278 | + | 19.4587i | 0.730932 | + | 0.871091i | 0.995644 | − | 0.0932369i | \(-0.0297214\pi\) |
−0.264712 | + | 0.964327i | \(0.585277\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −10.1395 | + | 17.5622i | −0.453001 | + | 0.784621i | ||||
\(502\) | −1.35274 | + | 5.04851i | −0.0603760 | + | 0.225326i | ||||
\(503\) | −6.58283 | − | 3.06962i | −0.293514 | − | 0.136868i | 0.270284 | − | 0.962781i | \(-0.412882\pi\) |
−0.563798 | + | 0.825913i | \(0.690660\pi\) | |||||||
\(504\) | 5.99677 | − | 2.18265i | 0.267118 | − | 0.0972228i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 5.00772 | + | 2.89121i | 0.222620 | + | 0.128530i | ||||
\(507\) | −11.0936 | + | 7.76782i | −0.492684 | + | 0.344981i | ||||
\(508\) | 1.27785 | − | 14.6059i | 0.0566954 | − | 0.648031i | ||||
\(509\) | −7.30974 | − | 6.13360i | −0.323998 | − | 0.271867i | 0.466251 | − | 0.884653i | \(-0.345604\pi\) |
−0.790249 | + | 0.612786i | \(0.790049\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −15.1985 | − | 5.53178i | −0.672340 | − | 0.244712i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 21.3591 | − | 11.7731i | 0.943028 | − | 0.519793i | ||||
\(514\) | − | 8.91504i | − | 0.393226i | ||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −10.4427 | + | 1.84133i | −0.459714 | + | 0.0810601i | ||||
\(517\) | −1.38488 | + | 0.121161i | −0.0609070 | + | 0.00532867i | ||||
\(518\) | −11.2985 | − | 0.988490i | −0.496427 | − | 0.0434318i | ||||
\(519\) | 24.8389 | + | 4.37977i | 1.09031 | + | 0.192250i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 31.0768 | − | 17.9422i | 1.36150 | − | 0.786063i | 0.371677 | − | 0.928362i | \(-0.378783\pi\) |
0.989824 | + | 0.142299i | \(0.0454495\pi\) | |||||||
\(522\) | −4.68685 | + | 10.0510i | −0.205138 | + | 0.439920i | ||||
\(523\) | 12.7791 | − | 27.4049i | 0.558791 | − | 1.19833i | −0.400601 | − | 0.916253i | \(-0.631198\pi\) |
0.959391 | − | 0.282078i | \(-0.0910237\pi\) | |||||||
\(524\) | 11.8087 | − | 6.81776i | 0.515866 | − | 0.297835i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −26.0792 | − | 4.59846i | −1.13711 | − | 0.200502i | ||||
\(527\) | 70.0924 | + | 6.13229i | 3.05327 | + | 0.267127i | ||||
\(528\) | 0.950002 | − | 0.0831144i | 0.0413435 | − | 0.00361709i | ||||
\(529\) | −37.7792 | + | 6.66149i | −1.64257 | + | 0.289630i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 9.62159i | 0.417541i | ||||||||
\(532\) | 6.75672 | + | 19.7760i | 0.292941 | + | 0.857398i | ||||
\(533\) | −4.16634 | − | 4.16634i | −0.180464 | − | 0.180464i | ||||
\(534\) | 9.23364 | + | 3.36077i | 0.399579 | + | 0.145435i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 1.88055 | + | 1.57797i | 0.0812272 | + | 0.0681577i | ||||
\(537\) | 2.33234 | − | 26.6588i | 0.100648 | − | 1.15041i | ||||
\(538\) | 17.8537 | − | 12.5013i | 0.769729 | − | 0.538970i | ||||
\(539\) | 10.2198 | + | 5.90041i | 0.440198 | + | 0.254149i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −26.3330 | + | 9.58444i | −1.13215 | + | 0.412067i | −0.839071 | − | 0.544023i | \(-0.816901\pi\) |
−0.293074 | + | 0.956090i | \(0.594678\pi\) | |||||||
\(542\) | −6.22843 | − | 2.90437i | −0.267534 | − | 0.124753i | ||||
\(543\) | 5.32823 | − | 19.8852i | 0.228656 | − | 0.853357i | ||||
\(544\) | 3.43101 | − | 5.94269i | 0.147103 | − | 0.254791i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −6.31631 | − | 7.52749i | −0.270313 | − | 0.322147i | ||||
\(547\) | −2.16345 | − | 24.7283i | −0.0925023 | − | 1.05731i | −0.890603 | − | 0.454782i | \(-0.849717\pi\) |
0.798101 | − | 0.602524i | \(-0.205838\pi\) | |||||||
\(548\) | 2.55929 | − | 3.65504i | 0.109327 | − | 0.156136i | ||||
\(549\) | −0.325748 | + | 0.894984i | −0.0139026 | + | 0.0381970i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −32.6038 | − | 15.9983i | −1.38897 | − | 0.681549i | ||||
\(552\) | −7.15576 | + | 7.15576i | −0.304569 | + | 0.304569i | ||||
\(553\) | −59.9788 | + | 27.9686i | −2.55056 | + | 1.18935i | ||||
\(554\) | −4.41218 | − | 25.0227i | −0.187456 | − | 1.06311i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 6.24935 | − | 5.24383i | 0.265032 | − | 0.222388i | ||||
\(557\) | 1.14685 | + | 1.63787i | 0.0485936 | + | 0.0693989i | 0.842714 | − | 0.538362i | \(-0.180957\pi\) |
−0.794120 | + | 0.607761i | \(0.792068\pi\) | |||||||
\(558\) | 13.1830 | − | 3.53237i | 0.558080 | − | 0.149537i | ||||
\(559\) | −6.51102 | − | 11.2774i | −0.275387 | − | 0.476984i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.23813 | − | 6.14920i | −0.0944937 | − | 0.259619i | ||||
\(562\) | −6.50422 | − | 1.74280i | −0.274364 | − | 0.0735156i | ||||
\(563\) | 6.09059 | + | 22.7304i | 0.256688 | + | 0.957972i | 0.967144 | + | 0.254230i | \(0.0818221\pi\) |
−0.710456 | + | 0.703742i | \(0.751511\pi\) | |||||||
\(564\) | 0.422474 | − | 2.39597i | 0.0177894 | − | 0.100889i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 13.9301 | − | 16.6012i | 0.585525 | − | 0.697802i | ||||
\(567\) | 12.7055 | + | 8.89651i | 0.533582 | + | 0.373618i | ||||
\(568\) | 3.69648 | + | 7.92713i | 0.155101 | + | 0.332615i | ||||
\(569\) | 16.9592 | 0.710967 | 0.355484 | − | 0.934683i | \(-0.384316\pi\) | ||||
0.355484 | + | 0.934683i | \(0.384316\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 23.5925 | 0.987316 | 0.493658 | − | 0.869656i | \(-0.335659\pi\) | ||||
0.493658 | + | 0.869656i | \(0.335659\pi\) | |||||||
\(572\) | 0.494933 | + | 1.06139i | 0.0206942 | + | 0.0443788i | ||||
\(573\) | 17.3548 | + | 12.1520i | 0.725007 | + | 0.507655i | ||||
\(574\) | −11.4455 | + | 13.6402i | −0.477725 | + | 0.569331i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.231135 | − | 1.31083i | 0.00963063 | − | 0.0546180i | ||||
\(577\) | −6.55121 | − | 24.4495i | −0.272731 | − | 1.01784i | −0.957347 | − | 0.288941i | \(-0.906697\pi\) |
0.684616 | − | 0.728904i | \(-0.259970\pi\) | |||||||
\(578\) | −29.0622 | − | 7.78719i | −1.20883 | − | 0.323904i | ||||
\(579\) | 4.03644 | + | 11.0900i | 0.167749 | + | 0.460885i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −17.9993 | − | 31.1757i | −0.746738 | − | 1.29339i | ||||
\(582\) | −2.71267 | + | 0.726856i | −0.112444 | + | 0.0301292i | ||||
\(583\) | −0.467502 | − | 0.667662i | −0.0193619 | − | 0.0276517i | ||||
\(584\) | −2.58423 | + | 2.16843i | −0.106936 | + | 0.0897302i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.35539 | − | 7.68679i | −0.0559905 | − | 0.317538i | ||||
\(587\) | −30.9536 | + | 14.4339i | −1.27759 | + | 0.595750i | −0.938589 | − | 0.345036i | \(-0.887867\pi\) |
−0.339000 | + | 0.940786i | \(0.610089\pi\) | |||||||
\(588\) | −14.6036 | + | 14.6036i | −0.602241 | + | 0.602241i | ||||
\(589\) | 10.7091 | + | 43.3922i | 0.441259 | + | 1.78795i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1.12016 | + | 3.07762i | −0.0460772 | + | 0.126596i | ||||
\(592\) | −1.35685 | + | 1.93778i | −0.0557662 | + | 0.0796423i | ||||
\(593\) | −1.31637 | − | 15.0461i | −0.0540567 | − | 0.617871i | −0.974110 | − | 0.226076i | \(-0.927410\pi\) |
0.920053 | − | 0.391794i | \(-0.128145\pi\) | |||||||
\(594\) | −2.65486 | − | 3.16394i | −0.108930 | − | 0.129818i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −7.66085 | + | 13.2690i | −0.313801 | + | 0.543518i | ||||
\(597\) | −3.07489 | + | 11.4757i | −0.125847 | + | 0.469667i | ||||
\(598\) | −11.2633 | − | 5.25215i | −0.460589 | − | 0.214776i | ||||
\(599\) | 0.135258 | − | 0.0492298i | 0.00552648 | − | 0.00201148i | −0.339255 | − | 0.940694i | \(-0.610175\pi\) |
0.344782 | + | 0.938683i | \(0.387953\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 27.3869 | + | 15.8118i | 1.11713 | + | 0.644978i | 0.940668 | − | 0.339328i | \(-0.110200\pi\) |
0.176467 | + | 0.984307i | \(0.443533\pi\) | |||||||
\(602\) | −32.2360 | + | 22.5719i | −1.31384 | + | 0.919961i | ||||
\(603\) | 0.284788 | − | 3.25514i | 0.0115975 | − | 0.132560i | ||||
\(604\) | 2.86341 | + | 2.40268i | 0.116510 | + | 0.0977638i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 5.22870 | + | 1.90309i | 0.212401 | + | 0.0773078i | ||||
\(607\) | −7.56254 | − | 7.56254i | −0.306954 | − | 0.306954i | 0.536773 | − | 0.843727i | \(-0.319643\pi\) |
−0.843727 | + | 0.536773i | \(0.819643\pi\) | |||||||
\(608\) | 4.27682 | + | 0.841918i | 0.173448 | + | 0.0341443i | ||||
\(609\) | − | 51.6054i | − | 2.09115i | ||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 2.94238 | − | 0.518821i | 0.119036 | − | 0.0209893i | ||||
\(612\) | −9.09897 | + | 0.796057i | −0.367804 | + | 0.0321787i | ||||
\(613\) | 25.2752 | + | 2.21129i | 1.02086 | + | 0.0893133i | 0.585274 | − | 0.810836i | \(-0.300987\pi\) |
0.435582 | + | 0.900149i | \(0.356543\pi\) | |||||||
\(614\) | −5.26100 | − | 0.927656i | −0.212317 | − | 0.0374371i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.06497 | − | 1.76956i | 0.123491 | − | 0.0712976i | ||||
\(617\) | −20.3172 | + | 43.5704i | −0.817941 | + | 1.75408i | −0.180509 | + | 0.983573i | \(0.557775\pi\) |
−0.637432 | + | 0.770507i | \(0.720003\pi\) | |||||||
\(618\) | 6.91870 | − | 14.8372i | 0.278311 | − | 0.596840i | ||||
\(619\) | −31.7586 | + | 18.3359i | −1.27649 | + | 0.736980i | −0.976201 | − | 0.216869i | \(-0.930416\pi\) |
−0.300286 | + | 0.953849i | \(0.597082\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 43.1634 | + | 7.61088i | 1.73209 | + | 0.305414i | ||||
\(622\) | 15.9744 | + | 1.39758i | 0.640516 | + | 0.0560379i | ||||
\(623\) | 36.3284 | − | 3.17832i | 1.45547 | − | 0.127337i | ||||
\(624\) | −2.01842 | + | 0.355902i | −0.0808015 | + | 0.0142475i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 20.3880i | 0.814870i | ||||||||
\(627\) | 3.23666 | − | 2.60824i | 0.129260 | − | 0.104163i | ||||
\(628\) | 14.1868 | + | 14.1868i | 0.566115 | + | 0.566115i | ||||
\(629\) | 15.2538 | + | 5.55193i | 0.608209 | + | 0.221370i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −23.0108 | − | 19.3084i | −0.916047 | − | 0.768655i | 0.0572124 | − | 0.998362i | \(-0.481779\pi\) |
−0.973260 | + | 0.229707i | \(0.926223\pi\) | |||||||
\(632\) | −1.20305 | + | 13.7509i | −0.0478546 | + | 0.546981i | ||||
\(633\) | 15.7819 | − | 11.0506i | 0.627276 | − | 0.439223i | ||||
\(634\) | 16.5188 | + | 9.53712i | 0.656044 | + | 0.378767i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 1.34042 | − | 0.487872i | 0.0531510 | − | 0.0193454i | ||||
\(637\) | −22.9862 | − | 10.7186i | −0.910747 | − | 0.424688i | ||||
\(638\) | −1.59182 | + | 5.94074i | −0.0630206 | + | 0.235196i | ||||
\(639\) | 5.82111 | − | 10.0825i | 0.230280 | − | 0.398856i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −0.320822 | − | 0.382341i | −0.0126717 | − | 0.0151016i | 0.759671 | − | 0.650307i | \(-0.225360\pi\) |
−0.772343 | + | 0.635206i | \(0.780915\pi\) | |||||||
\(642\) | 0.485806 | + | 5.55279i | 0.0191732 | + | 0.219151i | ||||
\(643\) | 17.7191 | − | 25.3055i | 0.698774 | − | 0.997952i | −0.300254 | − | 0.953859i | \(-0.597071\pi\) |
0.999027 | − | 0.0440930i | \(-0.0140398\pi\) | |||||||
\(644\) | −12.8451 | + | 35.2916i | −0.506168 | + | 1.39068i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.01532 | − | 29.8429i | −0.0792918 | − | 1.17415i | ||||
\(647\) | 17.8899 | − | 17.8899i | 0.703326 | − | 0.703326i | −0.261797 | − | 0.965123i | \(-0.584315\pi\) |
0.965123 | + | 0.261797i | \(0.0843151\pi\) | |||||||
\(648\) | 2.93203 | − | 1.36723i | 0.115181 | − | 0.0537097i | ||||
\(649\) | 0.926575 | + | 5.25487i | 0.0363713 | + | 0.206272i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −48.6503 | + | 40.8224i | −1.90676 | + | 1.59996i | ||||
\(652\) | −6.35817 | − | 9.08040i | −0.249005 | − | 0.355616i | ||||
\(653\) | −12.4688 | + | 3.34100i | −0.487941 | + | 0.130743i | −0.494398 | − | 0.869236i | \(-0.664611\pi\) |
0.00645686 | + | 0.999979i | \(0.497945\pi\) | |||||||
\(654\) | −1.79854 | − | 3.11516i | −0.0703283 | − | 0.121812i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 1.27023 | + | 3.48993i | 0.0495941 | + | 0.136259i | ||||
\(657\) | 4.33727 | + | 1.16217i | 0.169213 | + | 0.0453405i | ||||
\(658\) | −2.33691 | − | 8.72145i | −0.0911021 | − | 0.339997i | ||||
\(659\) | −3.86696 | + | 21.9306i | −0.150636 | + | 0.854296i | 0.812033 | + | 0.583612i | \(0.198361\pi\) |
−0.962668 | + | 0.270684i | \(0.912750\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −12.1703 | + | 14.5040i | −0.473369 | + | 0.564139i | −0.948907 | − | 0.315556i | \(-0.897809\pi\) |
0.475538 | + | 0.879695i | \(0.342253\pi\) | |||||||
\(662\) | 26.0835 | + | 18.2639i | 1.01377 | + | 0.709846i | ||||
\(663\) | 5.94375 | + | 12.7464i | 0.230836 | + | 0.495030i | ||||
\(664\) | −7.50844 | −0.291384 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 3.14873 | 0.122011 | ||||||||
\(667\) | −27.5826 | − | 59.1511i | −1.06800 | − | 2.29034i | ||||
\(668\) | 12.8585 | + | 9.00365i | 0.497512 | + | 0.348362i | ||||
\(669\) | −0.405303 | + | 0.483021i | −0.0156699 | + | 0.0186747i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −0.0917199 | + | 0.520169i | −0.00354081 | + | 0.0200809i | ||||
\(672\) | 1.60307 | + | 5.98275i | 0.0618399 | + | 0.230790i | ||||
\(673\) | −32.1752 | − | 8.62132i | −1.24026 | − | 0.332328i | −0.421695 | − | 0.906738i | \(-0.638565\pi\) |
−0.818568 | + | 0.574410i | \(0.805232\pi\) | |||||||
\(674\) | 6.61586 | + | 18.1769i | 0.254833 | + | 0.700149i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.24152 | + | 9.07857i | 0.201597 | + | 0.349176i | ||||
\(677\) | 19.8750 | − | 5.32548i | 0.763857 | − | 0.204675i | 0.144201 | − | 0.989548i | \(-0.453939\pi\) |
0.619656 | + | 0.784874i | \(0.287272\pi\) | |||||||
\(678\) | 3.71169 | + | 5.30084i | 0.142547 | + | 0.203578i | ||||
\(679\) | −7.98402 | + | 6.69939i | −0.306398 | + | 0.257099i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1.58598 | − | 8.99456i | −0.0607750 | − | 0.344672i | ||||
\(682\) | 6.85976 | − | 3.19876i | 0.262674 | − | 0.122487i | ||||
\(683\) | 7.01971 | − | 7.01971i | 0.268602 | − | 0.268602i | −0.559935 | − | 0.828537i | \(-0.689174\pi\) |
0.828537 | + | 0.559935i | \(0.189174\pi\) | |||||||
\(684\) | −2.34721 | − | 5.30594i | −0.0897479 | − | 0.202878i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −14.7359 | + | 40.4866i | −0.562620 | + | 1.54579i | ||||
\(687\) | 1.01888 | − | 1.45512i | 0.0388728 | − | 0.0555161i | ||||
\(688\) | 0.715379 | + | 8.17682i | 0.0272736 | + | 0.311738i | ||||
\(689\) | 1.12600 | + | 1.34192i | 0.0428973 | + | 0.0511230i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.232096 | + | 0.402003i | −0.00882936 | + | 0.0152929i | −0.870406 | − | 0.492334i | \(-0.836144\pi\) |
0.861577 | + | 0.507627i | \(0.169477\pi\) | |||||||
\(692\) | 5.05308 | − | 18.8583i | 0.192089 | − | 0.716887i | ||||
\(693\) | −4.26940 | − | 1.99085i | −0.162181 | − | 0.0756263i | ||||
\(694\) | 15.2033 | − | 5.53357i | 0.577111 | − | 0.210051i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −9.32157 | − | 5.38181i | −0.353333 | − | 0.203997i | ||||
\(697\) | 20.8760 | − | 14.6175i | 0.790735 | − | 0.553678i | ||||
\(698\) | 2.43915 | − | 27.8797i | 0.0923234 | − | 1.05526i | ||||
\(699\) | −3.27095 | − | 2.74465i | −0.123719 | − | 0.103812i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −11.8560 | − | 4.31523i | −0.447795 | − | 0.162984i | 0.108272 | − | 0.994121i | \(-0.465468\pi\) |
−0.556067 | + | 0.831137i | \(0.687690\pi\) | |||||||
\(702\) | 6.27681 | + | 6.27681i | 0.236903 | + | 0.236903i | ||||
\(703\) | −0.204542 | + | 10.3094i | −0.00771444 | + | 0.388825i | ||||
\(704\) | − | 0.738175i | − | 0.0278210i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −7.56247 | + | 1.33347i | −0.284617 | + | 0.0501857i | ||||
\(707\) | 20.5716 | − | 1.79978i | 0.773673 | − | 0.0676876i | ||||
\(708\) | −9.30286 | − | 0.813895i | −0.349623 | − | 0.0305880i | ||||
\(709\) | 15.5736 | + | 2.74604i | 0.584878 | + | 0.103130i | 0.458254 | − | 0.888821i | \(-0.348475\pi\) |
0.126624 | + | 0.991951i | \(0.459586\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 15.9115 | − | 9.18654i | 0.596730 | − | 0.344522i | ||||
\(712\) | 3.21451 | − | 6.89353i | 0.120469 | − | 0.258346i | ||||
\(713\) | −33.9447 | + | 72.7947i | −1.27124 | + | 2.72618i | ||||
\(714\) | 36.8078 | − | 21.2510i | 1.37750 | − | 0.795299i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −20.3998 | − | 3.59704i | −0.762378 | − | 0.134428i | ||||
\(717\) | −24.1326 | − | 2.11132i | −0.901247 | − | 0.0788489i | ||||
\(718\) | 18.1483 | − | 1.58777i | 0.677290 | − | 0.0592552i | ||||
\(719\) | −26.9388 | + | 4.75004i | −1.00465 | + | 0.177147i | −0.651685 | − | 0.758490i | \(-0.725937\pi\) |
−0.352964 | + | 0.935637i | \(0.614826\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 60.7563i | − | 2.26268i | ||||||
\(722\) | 17.5248 | − | 7.34040i | 0.652205 | − | 0.273181i | ||||
\(723\) | −6.63836 | − | 6.63836i | −0.246883 | − | 0.246883i | ||||
\(724\) | −14.9745 | − | 5.45026i | −0.556522 | − | 0.202557i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 10.3467 | + | 8.68194i | 0.384003 | + | 0.322217i | ||||
\(727\) | −3.85906 | + | 44.1092i | −0.143125 | + | 1.63592i | 0.497071 | + | 0.867710i | \(0.334409\pi\) |
−0.640196 | + | 0.768212i | \(0.721147\pi\) | |||||||
\(728\) | −6.23074 | + | 4.36281i | −0.230927 | + | 0.161697i | ||||
\(729\) | −22.5089 | − | 12.9955i | −0.833663 | − | 0.481315i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 52.9271 | − | 19.2639i | 1.95758 | − | 0.712501i | ||||
\(732\) | −0.837781 | − | 0.390664i | −0.0309653 | − | 0.0144394i | ||||
\(733\) | 6.99577 | − | 26.1086i | 0.258395 | − | 0.964342i | −0.707776 | − | 0.706437i | \(-0.750301\pi\) |
0.966170 | − | 0.257905i | \(-0.0830320\pi\) | |||||||
\(734\) | −1.40406 | + | 2.43191i | −0.0518250 | + | 0.0897635i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 5.03521 | + | 6.00072i | 0.185600 | + | 0.221190i | ||||
\(737\) | −0.157937 | − | 1.80523i | −0.00581770 | − | 0.0664966i | ||||
\(738\) | 2.83542 | − | 4.04940i | 0.104373 | − | 0.149060i | ||||
\(739\) | 7.58340 | − | 20.8352i | 0.278960 | − | 0.766436i | −0.718521 | − | 0.695505i | \(-0.755181\pi\) |
0.997481 | − | 0.0709311i | \(-0.0225970\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −6.44123 | + | 6.19061i | −0.236624 | + | 0.227418i | ||||
\(742\) | 3.74329 | − | 3.74329i | 0.137421 | − | 0.137421i | ||||
\(743\) | 15.0430 | − | 7.01468i | 0.551875 | − | 0.257344i | −0.126616 | − | 0.991952i | \(-0.540412\pi\) |
0.678492 | + | 0.734608i | \(0.262634\pi\) | |||||||
\(744\) | 2.30020 | + | 13.0451i | 0.0843294 | + | 0.478256i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −2.96017 | + | 2.48388i | −0.108379 | + | 0.0909411i | ||||
\(747\) | 5.73240 | + | 8.18672i | 0.209738 | + | 0.299537i | ||||
\(748\) | −4.89278 | + | 1.31102i | −0.178898 | + | 0.0479355i | ||||
\(749\) | 10.3431 | + | 17.9148i | 0.377930 | + | 0.654593i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.794919 | + | 2.18402i | 0.0290070 | + | 0.0796961i | 0.953351 | − | 0.301864i | \(-0.0976090\pi\) |
−0.924344 | + | 0.381561i | \(0.875387\pi\) | |||||||
\(752\) | −1.81908 | − | 0.487422i | −0.0663351 | − | 0.0177744i | ||||
\(753\) | 1.74758 | + | 6.52206i | 0.0636854 | + | 0.237677i | ||||
\(754\) | 2.29534 | − | 13.0175i | 0.0835913 | − | 0.474070i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 17.2432 | − | 20.5497i | 0.627130 | − | 0.747384i | ||||
\(757\) | 41.1902 | + | 28.8417i | 1.49708 | + | 1.04827i | 0.981508 | + | 0.191423i | \(0.0613104\pi\) |
0.515575 | + | 0.856845i | \(0.327579\pi\) | |||||||
\(758\) | 9.76126 | + | 20.9331i | 0.354545 | + | 0.760324i | ||||
\(759\) | 7.47016 | 0.271150 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −35.4721 | −1.28586 | −0.642932 | − | 0.765923i | \(-0.722282\pi\) | ||||
−0.642932 | + | 0.765923i | \(0.722282\pi\) | |||||||
\(762\) | −8.00485 | − | 17.1664i | −0.289985 | − | 0.621875i | ||||
\(763\) | −10.9352 | − | 7.65694i | −0.395883 | − | 0.277200i | ||||
\(764\) | 10.5415 | − | 12.5628i | 0.381377 | − | 0.454507i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.766510 | − | 4.34709i | 0.0276951 | − | 0.157067i | ||||
\(767\) | −2.96815 | − | 11.0773i | −0.107174 | − | 0.399978i | ||||
\(768\) | 1.24786 | + | 0.334362i | 0.0450282 | + | 0.0120653i | ||||
\(769\) | 0.814447 | + | 2.23767i | 0.0293697 | + | 0.0806926i | 0.953511 | − | 0.301358i | \(-0.0974401\pi\) |
−0.924141 | + | 0.382051i | \(0.875218\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −5.75857 | − | 9.97414i | −0.207390 | − | 0.359210i | ||||
\(772\) | 8.82407 | − | 2.36440i | 0.317585 | − | 0.0850967i | ||||
\(773\) | 14.8747 | + | 21.2432i | 0.535004 | + | 0.764065i | 0.992113 | − | 0.125346i | \(-0.0400040\pi\) |
−0.457109 | + | 0.889411i | \(0.651115\pi\) | |||||||
\(774\) | 8.36932 | − | 7.02269i | 0.300829 | − | 0.252425i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0.377487 | + | 2.14083i | 0.0135510 | + | 0.0768514i | ||||
\(777\) | −13.2792 | + | 6.19221i | −0.476390 | + | 0.222144i | ||||
\(778\) | 14.9982 | − | 14.9982i | 0.537711 | − | 0.537711i | ||||
\(779\) | 13.0741 | + | 9.54658i | 0.468427 | + | 0.342042i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.20826 | − | 6.06716i | 0.0790179 | − | 0.217100i | ||||
\(782\) | 30.8314 | − | 44.0318i | 1.10253 | − | 1.57457i | ||||
\(783\) | 4.06301 | + | 46.4404i | 0.145200 | + | 1.65965i | ||||
\(784\) | 10.2759 | + | 12.2463i | 0.366997 | + | 0.437370i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 8.80771 | − | 15.2554i | 0.314160 | − | 0.544142i | ||||
\(787\) | −2.45608 | + | 9.16620i | −0.0875497 | + | 0.326740i | −0.995785 | − | 0.0917204i | \(-0.970763\pi\) |
0.908235 | + | 0.418460i | \(0.137430\pi\) | |||||||
\(788\) | 2.29765 | + | 1.07141i | 0.0818502 | + | 0.0381674i | ||||
\(789\) | −32.1477 | + | 11.7008i | −1.14449 | + | 0.416559i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 20.7982 | + | 12.0079i | 0.739500 | + | 0.426950i | ||||
\(792\) | −0.804858 | + | 0.563568i | −0.0285994 | + | 0.0200255i | ||||
\(793\) | 0.0989393 | − | 1.13088i | 0.00351344 | − | 0.0401588i | ||||
\(794\) | 22.9875 | + | 19.2888i | 0.815794 | + | 0.684533i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 8.64168 | + | 3.14532i | 0.306296 | + | 0.111483i | ||||
\(797\) | −17.6005 | − | 17.6005i | −0.623441 | − | 0.623441i | 0.322969 | − | 0.946410i | \(-0.395319\pi\) |
−0.946410 | + | 0.322969i | \(0.895319\pi\) | |||||||
\(798\) | 20.3335 | + | 17.7609i | 0.719797 | + | 0.628730i | ||||
\(799\) | 12.9229i | 0.457180i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −9.97041 | + | 1.75805i | −0.352287 | + | 0.0621177i | ||||
\(802\) | 4.86975 | − | 0.426048i | 0.171957 | − | 0.0150443i | ||||
\(803\) | 2.48074 | + | 0.217036i | 0.0875433 | + | 0.00765905i | ||||
\(804\) | 3.12322 | + | 0.550708i | 0.110147 | + | 0.0194220i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −14.0878 | + | 8.13361i | −0.496222 | + | 0.286494i | ||||
\(807\) | 11.8996 | − | 25.5189i | 0.418887 | − | 0.898307i | ||||
\(808\) | 1.82027 | − | 3.90357i | 0.0640368 | − | 0.137327i | ||||
\(809\) | 14.4694 | − | 8.35391i | 0.508717 | − | 0.293708i | −0.223589 | − | 0.974683i | \(-0.571777\pi\) |
0.732306 | + | 0.680976i | \(0.238444\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −36.8771 | − | 6.50244i | −1.29493 | − | 0.228331i | −0.516623 | − | 0.856213i | \(-0.672811\pi\) |
−0.778309 | + | 0.627882i | \(0.783922\pi\) | |||||||
\(812\) | −39.7940 | − | 3.48153i | −1.39650 | − | 0.122178i | ||||
\(813\) | −8.84440 | + | 0.773785i | −0.310187 | + | 0.0271378i | ||||
\(814\) | 1.71969 | − | 0.303228i | 0.0602752 | − | 0.0106281i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | − | 8.86489i | − | 0.310333i | ||||||
\(817\) | 22.4495 | + | 27.8584i | 0.785409 | + | 0.974642i | ||||
\(818\) | 0.0870596 | + | 0.0870596i | 0.00304397 | + | 0.00304397i | ||||
\(819\) | 9.51385 | + | 3.46276i | 0.332441 | + | 0.120999i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −21.1352 | − | 17.7346i | −0.737624 | − | 0.618940i | 0.194574 | − | 0.980888i | \(-0.437667\pi\) |
−0.932198 | + | 0.361948i | \(0.882112\pi\) | |||||||
\(822\) | 0.502395 | − | 5.74240i | 0.0175230 | − | 0.200289i | ||||
\(823\) | 30.1865 | − | 21.1368i | 1.05224 | − | 0.736783i | 0.0864840 | − | 0.996253i | \(-0.472437\pi\) |
0.965751 | + | 0.259470i | \(0.0835480\pi\) | |||||||
\(824\) | −10.9745 | − | 6.33615i | −0.382316 | − | 0.220730i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −32.5667 | + | 11.8533i | −1.13314 | + | 0.412429i | ||||
\(827\) | −18.1633 | − | 8.46967i | −0.631598 | − | 0.294519i | 0.0803331 | − | 0.996768i | \(-0.474402\pi\) |
−0.711932 | + | 0.702249i | \(0.752179\pi\) | |||||||
\(828\) | 2.69862 | − | 10.0714i | 0.0937835 | − | 0.350005i | ||||
\(829\) | 4.05649 | − | 7.02605i | 0.140888 | − | 0.244025i | −0.786943 | − | 0.617025i | \(-0.788338\pi\) |
0.927831 | + | 0.373000i | \(0.121671\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −21.0995 | − | 25.1454i | −0.731933 | − | 0.872284i | ||||
\(832\) | 0.138272 | + | 1.58046i | 0.00479373 | + | 0.0547925i | ||||
\(833\) | 62.9211 | − | 89.8606i | 2.18009 | − | 3.11349i | ||||
\(834\) | 3.60457 | − | 9.90349i | 0.124816 | − | 0.342930i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −1.79291 | − | 2.67182i | −0.0620091 | − | 0.0924068i | ||||
\(837\) | 40.5671 | − | 40.5671i | 1.40220 | − | 1.40220i | ||||
\(838\) | −31.5640 | + | 14.7185i | −1.09036 | + | 0.508443i | ||||
\(839\) | −0.902243 | − | 5.11688i | −0.0311489 | − | 0.176654i | 0.965264 | − | 0.261275i | \(-0.0841431\pi\) |
−0.996413 | + | 0.0846213i | \(0.973032\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 30.9623 | − | 25.9805i | 1.06767 | − | 0.895878i | ||||
\(842\) | −14.5658 | − | 20.8022i | −0.501972 | − | 0.716890i | ||||
\(843\) | −8.40265 | + | 2.25148i | −0.289403 | + | 0.0775452i | ||||
\(844\) | −7.45666 | − | 12.9153i | −0.256669 | − | 0.444564i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0.857346 | + | 2.35554i | 0.0294762 | + | 0.0809851i | ||||
\(847\) | 48.4181 | + | 12.9736i | 1.66367 | + | 0.445778i | ||||
\(848\) | −0.285778 | − | 1.06654i | −0.00981366 | − | 0.0366251i | ||||
\(849\) | 4.86158 | − | 27.5714i | 0.166849 | − | 0.946248i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −11.9113 | + | 14.1953i | −0.408312 | + | 0.486608i | ||||
\(852\) | 9.25605 | + | 6.48116i | 0.317107 | + | 0.222041i | ||||
\(853\) | 15.2484 | + | 32.7004i | 0.522096 | + | 1.11964i | 0.973786 | + | 0.227464i | \(0.0730436\pi\) |
−0.451690 | + | 0.892175i | \(0.649179\pi\) | |||||||
\(854\) | −3.43060 | −0.117393 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 4.31465 | 0.147472 | ||||||||
\(857\) | 5.42815 | + | 11.6407i | 0.185422 | + | 0.397639i | 0.976942 | − | 0.213504i | \(-0.0684877\pi\) |
−0.791520 | + | 0.611143i | \(0.790710\pi\) | |||||||
\(858\) | 1.23932 | + | 0.867782i | 0.0423097 | + | 0.0296256i | ||||
\(859\) | 19.9671 | − | 23.7958i | 0.681268 | − | 0.811904i | −0.309002 | − | 0.951061i | \(-0.599995\pi\) |
0.990270 | + | 0.139158i | \(0.0444395\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −3.99446 | + | 22.6537i | −0.136131 | + | 0.772036i | ||||
\(862\) | −5.35303 | − | 19.9778i | −0.182325 | − | 0.680445i | ||||
\(863\) | −30.1712 | − | 8.08435i | −1.02704 | − | 0.275194i | −0.294307 | − | 0.955711i | \(-0.595089\pi\) |
−0.732733 | + | 0.680517i | \(0.761755\pi\) | |||||||
\(864\) | −1.91367 | − | 5.25776i | −0.0651043 | − | 0.178873i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −7.50183 | − | 12.9935i | −0.254922 | − | 0.441539i | ||||
\(867\) | −37.5448 | + | 10.0601i | −1.27509 | + | 0.341659i | ||||
\(868\) | 28.1969 | + | 40.2694i | 0.957066 | + | 1.36683i | ||||
\(869\) | 7.80548 | − | 6.54957i | 0.264783 | − | 0.222179i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.676299 | + | 3.83548i | 0.0229155 | + | 0.129960i | ||||
\(872\) | −2.52350 | + | 1.17673i | −0.0854566 | + | 0.0398491i | ||||
\(873\) | 2.04603 | − | 2.04603i | 0.0692476 | − | 0.0692476i | ||||
\(874\) | 32.7997 | + | 9.48986i | 1.10947 | + | 0.320999i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −1.49056 | + | 4.09529i | −0.0503614 | + | 0.138367i | ||||
\(877\) | 13.0297 | − | 18.6084i | 0.439983 | − | 0.628361i | −0.536514 | − | 0.843891i | \(-0.680259\pi\) |
0.976497 | + | 0.215531i | \(0.0691481\pi\) | |||||||
\(878\) | −1.46934 | − | 16.7946i | −0.0495878 | − | 0.566791i | ||||
\(879\) | −6.48160 | − | 7.72447i | −0.218619 | − | 0.260540i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −8.67839 | + | 15.0314i | −0.292382 | + | 0.506421i | −0.974373 | − | 0.224940i | \(-0.927781\pi\) |
0.681990 | + | 0.731361i | \(0.261115\pi\) | |||||||
\(882\) | 5.50737 | − | 20.5538i | 0.185443 | − | 0.692082i | ||||
\(883\) | 4.54919 | + | 2.12132i | 0.153092 | + | 0.0713881i | 0.497654 | − | 0.867375i | \(-0.334195\pi\) |
−0.344562 | + | 0.938764i | \(0.611973\pi\) | |||||||
\(884\) | 10.2300 | − | 3.72343i | 0.344073 | − | 0.125232i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 5.22528 | + | 3.01681i | 0.175547 | + | 0.101352i | ||||
\(887\) | 29.6484 | − | 20.7600i | 0.995497 | − | 0.697054i | 0.0422060 | − | 0.999109i | \(-0.486561\pi\) |
0.953291 | + | 0.302055i | \(0.0976725\pi\) | |||||||
\(888\) | −0.266353 | + | 3.04443i | −0.00893822 | + | 0.102164i | ||||
\(889\) | −53.8485 | − | 45.1843i | −1.80602 | − | 1.51543i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −2.24408 | − | 0.816777i | −0.0751793 | − | 0.0273630i | ||||
\(892\) | 0.345125 | + | 0.345125i | 0.0115556 | + | 0.0115556i | ||||
\(893\) | −7.76803 | + | 2.65404i | −0.259947 | + | 0.0888142i | ||||
\(894\) | 19.7937i | 0.662002i | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 4.72158 | − | 0.832542i | 0.157737 | − | 0.0278133i | ||||
\(897\) | −15.9939 | + | 1.39928i | −0.534020 | + | 0.0467207i | ||||
\(898\) | −11.6945 | − | 1.02314i | −0.390251 | − | 0.0341426i | ||||
\(899\) | −84.1324 | − | 14.8348i | −2.80597 | − | 0.494768i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −6.56169 | + | 3.78839i | −0.218602 | + | 0.126210i | ||||
\(902\) | 1.15861 | − | 2.48465i | 0.0385776 | − | 0.0827298i | ||||
\(903\) | −21.4855 | + | 46.0759i | −0.714994 | + | 1.53331i | ||||
\(904\) | 4.33800 | − | 2.50455i | 0.144280 | − | 0.0833000i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 4.75556 | + | 0.838533i | 0.157993 | + | 0.0278584i | ||||
\(907\) | 26.6373 | + | 2.33046i | 0.884477 | + | 0.0773817i | 0.520336 | − | 0.853962i | \(-0.325807\pi\) |
0.364142 | + | 0.931344i | \(0.381362\pi\) | |||||||
\(908\) | −7.04290 | + | 0.616174i | −0.233727 | + | 0.0204484i | ||||
\(909\) | −5.64591 | + | 0.995526i | −0.187263 | + | 0.0330195i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 34.8134i | − | 1.15342i | −0.816949 | − | 0.576709i | \(-0.804336\pi\) | ||
0.816949 | − | 0.576709i | \(-0.195664\pi\) | |||||||
\(912\) | 5.32872 | − | 1.82063i | 0.176452 | − | 0.0602869i | ||||
\(913\) | 3.91917 | + | 3.91917i | 0.129706 | + | 0.129706i | ||||
\(914\) | 4.67815 | + | 1.70271i | 0.154740 | + | 0.0563206i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1.05333 | − | 0.883852i | −0.0348031 | − | 0.0292033i | ||||
\(917\) | 5.69776 | − | 65.1256i | 0.188156 | − | 2.15064i | ||||
\(918\) | −31.4508 | + | 22.0221i | −1.03803 | + | 0.726837i | ||||
\(919\) | 0.0710129 | + | 0.0409993i | 0.00234250 | + | 0.00135244i | 0.501171 | − | 0.865348i | \(-0.332903\pi\) |
−0.498828 | + | 0.866701i | \(0.666236\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −6.48520 | + | 2.36042i | −0.213695 | + | 0.0777785i | ||||
\(922\) | 6.90998 | + | 3.22218i | 0.227568 | + | 0.106117i | ||||
\(923\) | −3.59149 | + | 13.4036i | −0.118215 | + | 0.441186i | ||||
\(924\) | 2.28605 | − | 3.95956i | 0.0752057 | − | 0.130260i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 20.2648 | + | 24.1506i | 0.665942 | + | 0.793639i | ||||
\(927\) | 1.47010 | + | 16.8033i | 0.0482844 | + | 0.551894i | ||||
\(928\) | −4.77891 | + | 6.82499i | −0.156875 | + | 0.224041i | ||||
\(929\) | 0.114920 | − | 0.315740i | 0.00377040 | − | 0.0103591i | −0.937793 | − | 0.347194i | \(-0.887134\pi\) |
0.941564 | + | 0.336835i | \(0.109357\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 66.9380 | + | 19.3670i | 2.19380 | + | 0.634729i | ||||
\(932\) | −2.33713 | + | 2.33713i | −0.0765553 | + | 0.0765553i | ||||
\(933\) | 18.7749 | − | 8.75488i | 0.614663 | − | 0.286622i | ||||
\(934\) | 2.49596 | + | 14.1553i | 0.0816702 | + | 0.463175i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 1.61766 | − | 1.35738i | 0.0528750 | − | 0.0443674i | ||||
\(937\) | −0.159464 | − | 0.227738i | −0.00520946 | − | 0.00743989i | 0.816539 | − | 0.577290i | \(-0.195890\pi\) |
−0.821748 | + | 0.569851i | \(0.807001\pi\) | |||||||
\(938\) | 11.3687 | − | 3.04623i | 0.371200 | − | 0.0994628i | ||||
\(939\) | 13.1694 | + | 22.8101i | 0.429768 | + | 0.744380i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −6.89714 | − | 18.9497i | −0.224840 | − | 0.617744i | 0.775060 | − | 0.631888i | \(-0.217720\pi\) |
−0.999900 | + | 0.0141443i | \(0.995498\pi\) | |||||||
\(942\) | 25.0360 | + | 6.70837i | 0.815716 | + | 0.218570i | ||||
\(943\) | 7.52968 | + | 28.1011i | 0.245200 | + | 0.915099i | ||||
\(944\) | −1.25522 | + | 7.11873i | −0.0408541 | + | 0.231695i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 3.89464 | − | 4.64145i | 0.126626 | − | 0.150907i | ||||
\(947\) | −36.3195 | − | 25.4312i | −1.18023 | − | 0.826403i | −0.192301 | − | 0.981336i | \(-0.561595\pi\) |
−0.987925 | + | 0.154932i | \(0.950484\pi\) | |||||||
\(948\) | 7.53626 | + | 16.1616i | 0.244766 | + | 0.524903i | ||||
\(949\) | −5.35200 | −0.173733 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 24.6416 | 0.799057 | ||||||||
\(952\) | −13.9039 | − | 29.8170i | −0.450628 | − | 0.966375i | ||||
\(953\) | −5.59767 | − | 3.91953i | −0.181326 | − | 0.126966i | 0.479389 | − | 0.877602i | \(-0.340858\pi\) |
−0.660716 | + | 0.750636i | \(0.729747\pi\) | |||||||
\(954\) | −0.944704 | + | 1.12585i | −0.0305859 | + | 0.0364509i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −3.25618 | + | 18.4667i | −0.105312 | + | 0.597256i | ||||
\(957\) | 2.05643 | + | 7.67470i | 0.0664750 | + | 0.248088i | ||||
\(958\) | −29.8349 | − | 7.99422i | −0.963920 | − | 0.258282i | ||||
\(959\) | −7.31671 | − | 20.1025i | −0.236269 | − | 0.649143i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 37.0676 | + | 64.2030i | 1.19573 | + | 2.07107i | ||||
\(962\) | −3.62512 | + | 0.971349i | −0.116879 | + | 0.0313176i | ||||
\(963\) | −3.29407 | − | 4.70442i | −0.106150 | − | 0.151598i | ||||
\(964\) | −5.56684 | + | 4.67113i | −0.179296 | + | 0.150447i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 8.42514 | + | 47.7814i | 0.271075 | + | 1.53734i | ||||
\(967\) | −20.4405 | + | 9.53156i | −0.657322 | + | 0.306514i | −0.722512 | − | 0.691359i | \(-0.757012\pi\) |
0.0651898 | + | 0.997873i | \(0.479235\pi\) | |||||||
\(968\) | 7.39287 | − | 7.39287i | 0.237616 | − | 0.237616i | ||||
\(969\) | −21.5314 | − | 32.0864i | −0.691689 | − | 1.03076i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 19.0127 | − | 52.2370i | 0.610146 | − | 1.67636i | −0.119749 | − | 0.992804i | \(-0.538209\pi\) |
0.729895 | − | 0.683559i | \(-0.239569\pi\) | |||||||
\(972\) | −7.23060 | + | 10.3264i | −0.231922 | + | 0.331218i | ||||
\(973\) | −3.40889 | − | 38.9638i | −0.109284 | − | 1.24912i | ||||
\(974\) | −1.67200 | − | 1.99262i | −0.0535744 | − | 0.0638475i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.357770 | + | 0.619676i | −0.0114519 | + | 0.0198353i | ||||
\(977\) | 12.2621 | − | 45.7629i | 0.392301 | − | 1.46409i | −0.434029 | − | 0.900899i | \(-0.642908\pi\) |
0.826330 | − | 0.563187i | \(-0.190425\pi\) | |||||||
\(978\) | −12.9789 | − | 6.05215i | −0.415019 | − | 0.193527i | ||||
\(979\) | −5.27608 | + | 1.92033i | −0.168624 | + | 0.0613742i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 3.20962 | + | 1.85308i | 0.102475 | + | 0.0591642i | ||||
\(982\) | −23.3348 | + | 16.3392i | −0.744644 | + | 0.521405i | ||||
\(983\) | −0.311680 | + | 3.56252i | −0.00994104 | + | 0.113627i | −0.999544 | − | 0.0302006i | \(-0.990385\pi\) |
0.989603 | + | 0.143827i | \(0.0459409\pi\) | |||||||
\(984\) | 3.67541 | + | 3.08403i | 0.117168 | + | 0.0983154i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 53.7249 | + | 19.5543i | 1.71095 | + | 0.622735i | ||||
\(987\) | −8.24805 | − | 8.24805i | −0.262538 | − | 0.262538i | ||||
\(988\) | 4.33916 | + | 5.38462i | 0.138047 | + | 0.171307i | ||||
\(989\) | 64.2969i | 2.04452i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.07184 | − | 1.42328i | 0.256410 | − | 0.0452121i | −0.0439652 | − | 0.999033i | \(-0.513999\pi\) |
0.300376 | + | 0.953821i | \(0.402888\pi\) | |||||||
\(992\) | 10.2145 | − | 0.893656i | 0.324312 | − | 0.0283736i | ||||
\(993\) | 40.9796 | + | 3.58525i | 1.30045 | + | 0.113774i | ||||
\(994\) | 41.2979 | + | 7.28193i | 1.30989 | + | 0.230969i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −8.40043 | + | 4.84999i | −0.266178 | + | 0.153678i | ||||
\(997\) | 5.35529 | − | 11.4845i | 0.169604 | − | 0.363717i | −0.803073 | − | 0.595881i | \(-0.796803\pi\) |
0.972677 | + | 0.232164i | \(0.0745807\pi\) | |||||||
\(998\) | 10.7351 | − | 23.0216i | 0.339815 | − | 0.728736i | ||||
\(999\) | 11.4627 | − | 6.61797i | 0.362663 | − | 0.209383i |
(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 | 950.2.bb.d.243.2 | ✓ | 96 | |
5.2 | odd | 4 | inner | 950.2.bb.d.357.6 | yes | 96 | |
5.3 | odd | 4 | inner | 950.2.bb.d.357.3 | yes | 96 | |
5.4 | even | 2 | inner | 950.2.bb.d.243.7 | yes | 96 | |
19.14 | odd | 18 | inner | 950.2.bb.d.793.6 | yes | 96 | |
95.14 | odd | 18 | inner | 950.2.bb.d.793.3 | yes | 96 | |
95.33 | even | 36 | inner | 950.2.bb.d.907.7 | yes | 96 | |
95.52 | even | 36 | inner | 950.2.bb.d.907.2 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bb.d.243.2 | ✓ | 96 | 1.1 | even | 1 | trivial | |
950.2.bb.d.243.7 | yes | 96 | 5.4 | even | 2 | inner | |
950.2.bb.d.357.3 | yes | 96 | 5.3 | odd | 4 | inner | |
950.2.bb.d.357.6 | yes | 96 | 5.2 | odd | 4 | inner | |
950.2.bb.d.793.3 | yes | 96 | 95.14 | odd | 18 | inner | |
950.2.bb.d.793.6 | yes | 96 | 19.14 | odd | 18 | inner | |
950.2.bb.d.907.2 | yes | 96 | 95.52 | even | 36 | inner | |
950.2.bb.d.907.7 | yes | 96 | 95.33 | even | 36 | inner |