Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(101,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.l (of order \(9\), degree \(6\), 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: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 251.1 | ||
Root | \(-0.173648 - 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 950.251 |
Dual form | 950.2.l.a.651.1 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | − | 0.342020i | −0.664463 | − | 0.241845i | ||||
\(3\) | −0.0603074 | − | 0.342020i | −0.0348185 | − | 0.197465i | 0.962437 | − | 0.271506i | \(-0.0875217\pi\) |
−0.997255 | + | 0.0740406i | \(0.976411\pi\) | |||||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.0603074 | + | 0.342020i | −0.0246204 | + | 0.139629i | ||||
\(7\) | −0.766044 | + | 1.32683i | −0.289538 | + | 0.501494i | −0.973699 | − | 0.227836i | \(-0.926835\pi\) |
0.684162 | + | 0.729330i | \(0.260168\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | 2.70574 | − | 0.984808i | 0.901912 | − | 0.328269i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.55303 | − | 2.68993i | −0.468257 | − | 0.811045i | 0.531085 | − | 0.847319i | \(-0.321785\pi\) |
−0.999342 | + | 0.0362735i | \(0.988451\pi\) | |||||||
\(12\) | 0.173648 | − | 0.300767i | 0.0501279 | − | 0.0868241i | ||||
\(13\) | −0.794263 | + | 4.50449i | −0.220289 | + | 1.24932i | 0.651200 | + | 0.758906i | \(0.274266\pi\) |
−0.871489 | + | 0.490415i | \(0.836845\pi\) | |||||||
\(14\) | 1.17365 | − | 0.984808i | 0.313671 | − | 0.263201i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 1.99273 | + | 0.725293i | 0.483307 | + | 0.175909i | 0.572171 | − | 0.820134i | \(-0.306101\pi\) |
−0.0888639 | + | 0.996044i | \(0.528324\pi\) | |||||||
\(18\) | −2.87939 | −0.678678 | ||||||||
\(19\) | 4.34002 | − | 0.405223i | 0.995669 | − | 0.0929645i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.500000 | + | 0.181985i | 0.109109 | + | 0.0397124i | ||||
\(22\) | 0.539363 | + | 3.05888i | 0.114993 | + | 0.652155i | ||||
\(23\) | −2.25490 | − | 1.89209i | −0.470179 | − | 0.394527i | 0.376681 | − | 0.926343i | \(-0.377065\pi\) |
−0.846860 | + | 0.531816i | \(0.821510\pi\) | |||||||
\(24\) | −0.266044 | + | 0.223238i | −0.0543061 | + | 0.0455682i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 2.28699 | − | 3.96118i | 0.448515 | − | 0.776852i | ||||
\(27\) | −1.02094 | − | 1.76833i | −0.196481 | − | 0.340315i | ||||
\(28\) | −1.43969 | + | 0.524005i | −0.272076 | + | 0.0990277i | ||||
\(29\) | 6.12449 | − | 2.22913i | 1.13729 | − | 0.413939i | 0.296355 | − | 0.955078i | \(-0.404229\pi\) |
0.840933 | + | 0.541139i | \(0.182007\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.29813 | + | 5.71253i | −0.592362 | + | 1.02600i | 0.401551 | + | 0.915837i | \(0.368471\pi\) |
−0.993913 | + | 0.110165i | \(0.964862\pi\) | |||||||
\(32\) | 0.173648 | − | 0.984808i | 0.0306970 | − | 0.174091i | ||||
\(33\) | −0.826352 | + | 0.693392i | −0.143849 | + | 0.120704i | ||||
\(34\) | −1.62449 | − | 1.36310i | −0.278597 | − | 0.233771i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.70574 | + | 0.984808i | 0.450956 | + | 0.164135i | ||||
\(37\) | 9.45336 | 1.55412 | 0.777062 | − | 0.629424i | \(-0.216709\pi\) | ||||
0.777062 | + | 0.629424i | \(0.216709\pi\) | |||||||
\(38\) | −4.21688 | − | 1.10359i | −0.684068 | − | 0.179026i | ||||
\(39\) | 1.58853 | 0.254368 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.773318 | + | 4.38571i | 0.120772 | + | 0.684932i | 0.983730 | + | 0.179656i | \(0.0574984\pi\) |
−0.862957 | + | 0.505277i | \(0.831390\pi\) | |||||||
\(42\) | −0.407604 | − | 0.342020i | −0.0628946 | − | 0.0527749i | ||||
\(43\) | 2.20574 | − | 1.85083i | 0.336372 | − | 0.282249i | −0.458918 | − | 0.888478i | \(-0.651763\pi\) |
0.795290 | + | 0.606229i | \(0.207319\pi\) | |||||||
\(44\) | 0.539363 | − | 3.05888i | 0.0813120 | − | 0.461143i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.47178 | + | 2.54920i | 0.217002 | + | 0.375859i | ||||
\(47\) | −3.25877 | + | 1.18610i | −0.475341 | + | 0.173010i | −0.568570 | − | 0.822635i | \(-0.692503\pi\) |
0.0932295 | + | 0.995645i | \(0.470281\pi\) | |||||||
\(48\) | 0.326352 | − | 0.118782i | 0.0471048 | − | 0.0171448i | ||||
\(49\) | 2.32635 | + | 4.02936i | 0.332336 | + | 0.575623i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.127889 | − | 0.725293i | 0.0179080 | − | 0.101561i | ||||
\(52\) | −3.50387 | + | 2.94010i | −0.485899 | + | 0.407718i | ||||
\(53\) | 0.124485 | + | 0.104455i | 0.0170994 | + | 0.0143481i | 0.651297 | − | 0.758823i | \(-0.274225\pi\) |
−0.634198 | + | 0.773171i | \(0.718670\pi\) | |||||||
\(54\) | 0.354570 | + | 2.01087i | 0.0482509 | + | 0.273644i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 1.53209 | 0.204734 | ||||||||
\(57\) | −0.400330 | − | 1.45994i | −0.0530250 | − | 0.193373i | ||||
\(58\) | −6.51754 | −0.855795 | ||||||||
\(59\) | 13.3157 | + | 4.84651i | 1.73355 | + | 0.630962i | 0.998873 | − | 0.0474525i | \(-0.0151103\pi\) |
0.734680 | + | 0.678414i | \(0.237332\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.14543 | − | 5.15663i | −0.786842 | − | 0.660239i | 0.158120 | − | 0.987420i | \(-0.449457\pi\) |
−0.944962 | + | 0.327181i | \(0.893901\pi\) | |||||||
\(62\) | 5.05303 | − | 4.24000i | 0.641736 | − | 0.538480i | ||||
\(63\) | −0.766044 | + | 4.34445i | −0.0965125 | + | 0.547350i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 1.01367 | − | 0.368946i | 0.124774 | − | 0.0454141i | ||||
\(67\) | 8.07785 | − | 2.94010i | 0.986866 | − | 0.359190i | 0.202360 | − | 0.979311i | \(-0.435139\pi\) |
0.784506 | + | 0.620121i | \(0.212917\pi\) | |||||||
\(68\) | 1.06031 | + | 1.83651i | 0.128581 | + | 0.222709i | ||||
\(69\) | −0.511144 | + | 0.885328i | −0.0615345 | + | 0.106581i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 7.37211 | − | 6.18594i | 0.874909 | − | 0.734136i | −0.0902171 | − | 0.995922i | \(-0.528756\pi\) |
0.965126 | + | 0.261787i | \(0.0843117\pi\) | |||||||
\(72\) | −2.20574 | − | 1.85083i | −0.259949 | − | 0.218123i | ||||
\(73\) | 0.538019 | + | 3.05126i | 0.0629703 | + | 0.357122i | 0.999970 | + | 0.00779128i | \(0.00248007\pi\) |
−0.936999 | + | 0.349331i | \(0.886409\pi\) | |||||||
\(74\) | −8.88326 | − | 3.23324i | −1.03266 | − | 0.375857i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.58512 | + | 2.47929i | 0.411242 | + | 0.284395i | ||||
\(77\) | 4.75877 | 0.542312 | ||||||||
\(78\) | −1.49273 | − | 0.543308i | −0.169018 | − | 0.0615175i | ||||
\(79\) | −0.173648 | − | 0.984808i | −0.0195369 | − | 0.110800i | 0.973480 | − | 0.228773i | \(-0.0734713\pi\) |
−0.993017 | + | 0.117973i | \(0.962360\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 6.07398 | − | 5.09667i | 0.674886 | − | 0.566297i | ||||
\(82\) | 0.773318 | − | 4.38571i | 0.0853987 | − | 0.484320i | ||||
\(83\) | 2.66637 | − | 4.61830i | 0.292673 | − | 0.506924i | −0.681768 | − | 0.731568i | \(-0.738789\pi\) |
0.974441 | + | 0.224644i | \(0.0721221\pi\) | |||||||
\(84\) | 0.266044 | + | 0.460802i | 0.0290278 | + | 0.0502777i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −2.70574 | + | 0.984808i | −0.291767 | + | 0.106195i | ||||
\(87\) | −1.13176 | − | 1.96026i | −0.121337 | − | 0.210162i | ||||
\(88\) | −1.55303 | + | 2.68993i | −0.165554 | + | 0.286748i | ||||
\(89\) | 1.21941 | − | 6.91560i | 0.129257 | − | 0.733053i | −0.849431 | − | 0.527700i | \(-0.823055\pi\) |
0.978688 | − | 0.205353i | \(-0.0658342\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.36824 | − | 4.50449i | −0.562745 | − | 0.472199i | ||||
\(92\) | −0.511144 | − | 2.89884i | −0.0532905 | − | 0.302225i | ||||
\(93\) | 2.15270 | + | 0.783520i | 0.223225 | + | 0.0812472i | ||||
\(94\) | 3.46791 | 0.357688 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −0.347296 | −0.0354458 | ||||||||
\(97\) | 5.77972 | + | 2.10364i | 0.586841 | + | 0.213593i | 0.618340 | − | 0.785911i | \(-0.287806\pi\) |
−0.0314984 | + | 0.999504i | \(0.510028\pi\) | |||||||
\(98\) | −0.807934 | − | 4.58202i | −0.0816136 | − | 0.462854i | ||||
\(99\) | −6.85117 | − | 5.74881i | −0.688568 | − | 0.577777i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.36959 | + | 13.4386i | −0.235783 | + | 1.33719i | 0.605177 | + | 0.796091i | \(0.293102\pi\) |
−0.840959 | + | 0.541098i | \(0.818009\pi\) | |||||||
\(102\) | −0.368241 | + | 0.637812i | −0.0364613 | + | 0.0631528i | ||||
\(103\) | −3.46064 | − | 5.99400i | −0.340987 | − | 0.590606i | 0.643630 | − | 0.765337i | \(-0.277428\pi\) |
−0.984616 | + | 0.174731i | \(0.944094\pi\) | |||||||
\(104\) | 4.29813 | − | 1.56439i | 0.421467 | − | 0.153401i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.0812519 | − | 0.140732i | −0.00789188 | − | 0.0136691i | ||||
\(107\) | 1.13176 | − | 1.96026i | 0.109411 | − | 0.189506i | −0.806121 | − | 0.591751i | \(-0.798437\pi\) |
0.915532 | + | 0.402245i | \(0.131770\pi\) | |||||||
\(108\) | 0.354570 | − | 2.01087i | 0.0341185 | − | 0.193496i | ||||
\(109\) | −8.08512 | + | 6.78422i | −0.774414 | + | 0.649811i | −0.941835 | − | 0.336075i | \(-0.890901\pi\) |
0.167421 | + | 0.985885i | \(0.446456\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.570108 | − | 3.23324i | −0.0541122 | − | 0.306886i | ||||
\(112\) | −1.43969 | − | 0.524005i | −0.136038 | − | 0.0495138i | ||||
\(113\) | 19.6955 | 1.85280 | 0.926400 | − | 0.376542i | \(-0.122887\pi\) | ||||
0.926400 | + | 0.376542i | \(0.122887\pi\) | |||||||
\(114\) | −0.123141 | + | 1.50881i | −0.0115332 | + | 0.141313i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 6.12449 | + | 2.22913i | 0.568644 | + | 0.206970i | ||||
\(117\) | 2.28699 | + | 12.9702i | 0.211432 | + | 1.19909i | ||||
\(118\) | −10.8550 | − | 9.10846i | −0.999287 | − | 0.838501i | ||||
\(119\) | −2.48886 | + | 2.08840i | −0.228153 | + | 0.191443i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.676174 | − | 1.17117i | 0.0614704 | − | 0.106470i | ||||
\(122\) | 4.01114 | + | 6.94751i | 0.363152 | + | 0.628998i | ||||
\(123\) | 1.45336 | − | 0.528981i | 0.131045 | − | 0.0476966i | ||||
\(124\) | −6.19846 | + | 2.25606i | −0.556638 | + | 0.202600i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 2.20574 | − | 3.82045i | 0.196503 | − | 0.340353i | ||||
\(127\) | 1.61216 | − | 9.14301i | 0.143056 | − | 0.811311i | −0.825852 | − | 0.563888i | \(-0.809305\pi\) |
0.968908 | − | 0.247423i | \(-0.0795838\pi\) | |||||||
\(128\) | 0.766044 | − | 0.642788i | 0.0677094 | − | 0.0568149i | ||||
\(129\) | −0.766044 | − | 0.642788i | −0.0674465 | − | 0.0565943i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.64796 | − | 0.963777i | −0.231353 | − | 0.0842056i | 0.223742 | − | 0.974648i | \(-0.428173\pi\) |
−0.455095 | + | 0.890443i | \(0.650395\pi\) | |||||||
\(132\) | −1.07873 | −0.0938910 | ||||||||
\(133\) | −2.78699 | + | 6.06888i | −0.241663 | + | 0.526239i | ||||
\(134\) | −8.59627 | −0.742604 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.368241 | − | 2.08840i | −0.0315764 | − | 0.179079i | ||||
\(137\) | −0.511144 | − | 0.428901i | −0.0436700 | − | 0.0366435i | 0.620691 | − | 0.784055i | \(-0.286852\pi\) |
−0.664361 | + | 0.747411i | \(0.731296\pi\) | |||||||
\(138\) | 0.783119 | − | 0.657115i | 0.0666635 | − | 0.0559373i | ||||
\(139\) | −1.81134 | + | 10.2726i | −0.153636 | + | 0.871311i | 0.806387 | + | 0.591388i | \(0.201420\pi\) |
−0.960023 | + | 0.279923i | \(0.909691\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.602196 | + | 1.04303i | 0.0507141 | + | 0.0878394i | ||||
\(142\) | −9.04323 | + | 3.29147i | −0.758891 | + | 0.276214i | ||||
\(143\) | 13.3503 | − | 4.85911i | 1.11641 | − | 0.406339i | ||||
\(144\) | 1.43969 | + | 2.49362i | 0.119974 | + | 0.207802i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.538019 | − | 3.05126i | 0.0445267 | − | 0.252524i | ||||
\(147\) | 1.23783 | − | 1.03866i | 0.102094 | − | 0.0856672i | ||||
\(148\) | 7.24170 | + | 6.07650i | 0.595264 | + | 0.499486i | ||||
\(149\) | −1.26945 | − | 7.19940i | −0.103997 | − | 0.589798i | −0.991616 | − | 0.129219i | \(-0.958753\pi\) |
0.887619 | − | 0.460579i | \(-0.152358\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.00774 | 0.0820088 | 0.0410044 | − | 0.999159i | \(-0.486944\pi\) | ||||
0.0410044 | + | 0.999159i | \(0.486944\pi\) | |||||||
\(152\) | −2.52094 | − | 3.55596i | −0.204476 | − | 0.288426i | ||||
\(153\) | 6.10607 | 0.493646 | ||||||||
\(154\) | −4.47178 | − | 1.62760i | −0.360346 | − | 0.131155i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 1.21688 | + | 1.02108i | 0.0974285 | + | 0.0817522i | ||||
\(157\) | −15.0326 | + | 12.6138i | −1.19973 | + | 1.00669i | −0.200091 | + | 0.979777i | \(0.564124\pi\) |
−0.999638 | + | 0.0269144i | \(0.991432\pi\) | |||||||
\(158\) | −0.173648 | + | 0.984808i | −0.0138147 | + | 0.0783471i | ||||
\(159\) | 0.0282185 | − | 0.0488759i | 0.00223787 | − | 0.00387611i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 4.23783 | − | 1.54244i | 0.333987 | − | 0.121561i | ||||
\(162\) | −7.45084 | + | 2.71188i | −0.585393 | + | 0.213066i | ||||
\(163\) | 10.3414 | + | 17.9118i | 0.809998 | + | 1.40296i | 0.912864 | + | 0.408263i | \(0.133865\pi\) |
−0.102866 | + | 0.994695i | \(0.532801\pi\) | |||||||
\(164\) | −2.22668 | + | 3.85673i | −0.173875 | + | 0.301160i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.08512 | + | 3.42782i | −0.317067 | + | 0.266051i | ||||
\(167\) | −6.53074 | − | 5.47995i | −0.505364 | − | 0.424051i | 0.354130 | − | 0.935196i | \(-0.384777\pi\) |
−0.859494 | + | 0.511145i | \(0.829221\pi\) | |||||||
\(168\) | −0.0923963 | − | 0.524005i | −0.00712853 | − | 0.0404279i | ||||
\(169\) | −7.44356 | − | 2.70924i | −0.572582 | − | 0.208403i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 11.3439 | − | 5.37051i | 0.867489 | − | 0.410693i | ||||
\(172\) | 2.87939 | 0.219551 | ||||||||
\(173\) | −4.31908 | − | 1.57202i | −0.328373 | − | 0.119518i | 0.172572 | − | 0.984997i | \(-0.444792\pi\) |
−0.500946 | + | 0.865479i | \(0.667014\pi\) | |||||||
\(174\) | 0.393056 | + | 2.22913i | 0.0297975 | + | 0.168990i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.37939 | − | 1.99654i | 0.179353 | − | 0.150495i | ||||
\(177\) | 0.854570 | − | 4.84651i | 0.0642334 | − | 0.364286i | ||||
\(178\) | −3.51114 | + | 6.08148i | −0.263171 | + | 0.455826i | ||||
\(179\) | 3.23055 | + | 5.59548i | 0.241463 | + | 0.418226i | 0.961131 | − | 0.276092i | \(-0.0890395\pi\) |
−0.719668 | + | 0.694318i | \(0.755706\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.85756 | + | 2.85992i | −0.584048 | + | 0.212576i | −0.617110 | − | 0.786877i | \(-0.711696\pi\) |
0.0330615 | + | 0.999453i | \(0.489474\pi\) | |||||||
\(182\) | 3.50387 | + | 6.06888i | 0.259724 | + | 0.449855i | ||||
\(183\) | −1.39306 | + | 2.41284i | −0.102978 | + | 0.178363i | ||||
\(184\) | −0.511144 | + | 2.89884i | −0.0376821 | + | 0.213706i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −1.75490 | − | 1.47254i | −0.128676 | − | 0.107972i | ||||
\(187\) | −1.14378 | − | 6.48670i | −0.0836415 | − | 0.474355i | ||||
\(188\) | −3.25877 | − | 1.18610i | −0.237670 | − | 0.0865049i | ||||
\(189\) | 3.12836 | 0.227554 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −26.6486 | −1.92822 | −0.964112 | − | 0.265496i | \(-0.914464\pi\) | ||||
−0.964112 | + | 0.265496i | \(0.914464\pi\) | |||||||
\(192\) | 0.326352 | + | 0.118782i | 0.0235524 | + | 0.00857238i | ||||
\(193\) | −4.14930 | − | 23.5319i | −0.298673 | − | 1.69386i | −0.651886 | − | 0.758317i | \(-0.726022\pi\) |
0.353213 | − | 0.935543i | \(-0.385089\pi\) | |||||||
\(194\) | −4.71167 | − | 3.95356i | −0.338278 | − | 0.283849i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.807934 | + | 4.58202i | −0.0577095 | + | 0.327287i | ||||
\(197\) | −6.09967 | + | 10.5649i | −0.434584 | + | 0.752721i | −0.997262 | − | 0.0739554i | \(-0.976438\pi\) |
0.562678 | + | 0.826676i | \(0.309771\pi\) | |||||||
\(198\) | 4.47178 | + | 7.74535i | 0.317796 | + | 0.550438i | ||||
\(199\) | −12.9089 | + | 4.69847i | −0.915091 | + | 0.333066i | −0.756284 | − | 0.654244i | \(-0.772987\pi\) |
−0.158807 | + | 0.987310i | \(0.550765\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.49273 | − | 2.58548i | −0.105289 | − | 0.182366i | ||||
\(202\) | 6.82295 | − | 11.8177i | 0.480061 | − | 0.831490i | ||||
\(203\) | −1.73396 | + | 9.83375i | −0.121700 | + | 0.690194i | ||||
\(204\) | 0.564178 | − | 0.473401i | 0.0395003 | − | 0.0331447i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 1.20187 | + | 6.81612i | 0.0837380 | + | 0.474902i | ||||
\(207\) | −7.96451 | − | 2.89884i | −0.553572 | − | 0.201484i | ||||
\(208\) | −4.57398 | −0.317148 | ||||||||
\(209\) | −7.83022 | − | 11.0450i | −0.541628 | − | 0.764002i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −14.2442 | − | 5.18447i | −0.980613 | − | 0.356914i | −0.198534 | − | 0.980094i | \(-0.563618\pi\) |
−0.782078 | + | 0.623180i | \(0.785840\pi\) | |||||||
\(212\) | 0.0282185 | + | 0.160035i | 0.00193805 | + | 0.0109913i | ||||
\(213\) | −2.56031 | − | 2.14835i | −0.175429 | − | 0.147203i | ||||
\(214\) | −1.73396 | + | 1.45496i | −0.118531 | + | 0.0994591i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −1.02094 | + | 1.76833i | −0.0694665 | + | 0.120319i | ||||
\(217\) | −5.05303 | − | 8.75211i | −0.343022 | − | 0.594132i | ||||
\(218\) | 9.91787 | − | 3.60981i | 0.671723 | − | 0.244487i | ||||
\(219\) | 1.01114 | − | 0.368026i | 0.0683268 | − | 0.0248689i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4.84982 | + | 8.40014i | −0.326234 | + | 0.565055i | ||||
\(222\) | −0.570108 | + | 3.23324i | −0.0382631 | + | 0.217001i | ||||
\(223\) | 0.0452926 | − | 0.0380050i | 0.00303302 | − | 0.00254501i | −0.641270 | − | 0.767315i | \(-0.721592\pi\) |
0.644303 | + | 0.764770i | \(0.277148\pi\) | |||||||
\(224\) | 1.17365 | + | 0.984808i | 0.0784177 | + | 0.0658002i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −18.5077 | − | 6.73627i | −1.23112 | − | 0.448090i | ||||
\(227\) | −29.5449 | −1.96096 | −0.980481 | − | 0.196612i | \(-0.937006\pi\) | ||||
−0.980481 | + | 0.196612i | \(0.937006\pi\) | |||||||
\(228\) | 0.631759 | − | 1.37570i | 0.0418393 | − | 0.0911082i | ||||
\(229\) | −12.6578 | −0.836448 | −0.418224 | − | 0.908344i | \(-0.637347\pi\) | ||||
−0.418224 | + | 0.908344i | \(0.637347\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.286989 | − | 1.62760i | −0.0188825 | − | 0.107088i | ||||
\(232\) | −4.99273 | − | 4.18939i | −0.327789 | − | 0.275047i | ||||
\(233\) | 3.90239 | − | 3.27449i | 0.255654 | − | 0.214519i | −0.505948 | − | 0.862564i | \(-0.668857\pi\) |
0.761602 | + | 0.648045i | \(0.224413\pi\) | |||||||
\(234\) | 2.28699 | − | 12.9702i | 0.149505 | − | 0.847886i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 7.08512 | + | 12.2718i | 0.461202 | + | 0.798826i | ||||
\(237\) | −0.326352 | + | 0.118782i | −0.0211988 | + | 0.00771574i | ||||
\(238\) | 3.05303 | − | 1.11121i | 0.197899 | − | 0.0720293i | ||||
\(239\) | 3.91740 | + | 6.78514i | 0.253396 | + | 0.438894i | 0.964459 | − | 0.264234i | \(-0.0851192\pi\) |
−0.711063 | + | 0.703129i | \(0.751786\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.07280 | + | 17.4267i | −0.197936 | + | 1.12255i | 0.710239 | + | 0.703961i | \(0.248587\pi\) |
−0.908175 | + | 0.418591i | \(0.862524\pi\) | |||||||
\(242\) | −1.03596 | + | 0.869273i | −0.0665940 | + | 0.0558790i | ||||
\(243\) | −6.80200 | − | 5.70756i | −0.436349 | − | 0.366140i | ||||
\(244\) | −1.39306 | − | 7.90041i | −0.0891813 | − | 0.505772i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −1.54664 | −0.0986100 | ||||||||
\(247\) | −1.62180 | + | 19.8714i | −0.103192 | + | 1.26439i | ||||
\(248\) | 6.59627 | 0.418863 | ||||||||
\(249\) | −1.74035 | − | 0.633436i | −0.110290 | − | 0.0401424i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −4.15136 | − | 3.48340i | −0.262031 | − | 0.219871i | 0.502301 | − | 0.864693i | \(-0.332487\pi\) |
−0.764333 | + | 0.644822i | \(0.776931\pi\) | |||||||
\(252\) | −3.37939 | + | 2.83564i | −0.212881 | + | 0.178629i | ||||
\(253\) | −1.58765 | + | 9.00400i | −0.0998146 | + | 0.566077i | ||||
\(254\) | −4.64203 | + | 8.04023i | −0.291267 | + | 0.504489i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 6.48070 | − | 2.35878i | 0.404255 | − | 0.147137i | −0.131887 | − | 0.991265i | \(-0.542103\pi\) |
0.536142 | + | 0.844128i | \(0.319881\pi\) | |||||||
\(258\) | 0.500000 | + | 0.866025i | 0.0311286 | + | 0.0539164i | ||||
\(259\) | −7.24170 | + | 12.5430i | −0.449977 | + | 0.779383i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 14.3760 | − | 12.0629i | 0.889851 | − | 0.746674i | ||||
\(262\) | 2.15863 | + | 1.81131i | 0.133361 | + | 0.111903i | ||||
\(263\) | −2.12361 | − | 12.0436i | −0.130947 | − | 0.742639i | −0.977597 | − | 0.210488i | \(-0.932495\pi\) |
0.846649 | − | 0.532151i | \(-0.178616\pi\) | |||||||
\(264\) | 1.01367 | + | 0.368946i | 0.0623871 | + | 0.0227071i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 4.69459 | − | 4.74968i | 0.287844 | − | 0.291221i | ||||
\(267\) | −2.43882 | −0.149253 | ||||||||
\(268\) | 8.07785 | + | 2.94010i | 0.493433 | + | 0.179595i | ||||
\(269\) | −1.94087 | − | 11.0072i | −0.118337 | − | 0.671124i | −0.985044 | − | 0.172305i | \(-0.944879\pi\) |
0.866706 | − | 0.498819i | \(-0.166233\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.9795 | + | 12.5693i | −0.909941 | + | 0.763531i | −0.972108 | − | 0.234534i | \(-0.924643\pi\) |
0.0621666 | + | 0.998066i | \(0.480199\pi\) | |||||||
\(272\) | −0.368241 | + | 2.08840i | −0.0223279 | + | 0.126628i | ||||
\(273\) | −1.21688 | + | 2.10770i | −0.0736490 | + | 0.127564i | ||||
\(274\) | 0.333626 | + | 0.577857i | 0.0201551 | + | 0.0349096i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.960637 | + | 0.349643i | −0.0578236 | + | 0.0210461i | ||||
\(277\) | 12.7057 | + | 22.0070i | 0.763414 | + | 1.32227i | 0.941081 | + | 0.338181i | \(0.109812\pi\) |
−0.177667 | + | 0.984091i | \(0.556855\pi\) | |||||||
\(278\) | 5.21554 | − | 9.03358i | 0.312807 | − | 0.541798i | ||||
\(279\) | −3.29813 | + | 18.7046i | −0.197454 | + | 1.11982i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 14.6302 | + | 12.2762i | 0.872763 | + | 0.732335i | 0.964678 | − | 0.263432i | \(-0.0848545\pi\) |
−0.0919154 | + | 0.995767i | \(0.529299\pi\) | |||||||
\(282\) | −0.209141 | − | 1.18610i | −0.0124541 | − | 0.0706310i | ||||
\(283\) | −17.0471 | − | 6.20464i | −1.01335 | − | 0.368827i | −0.218629 | − | 0.975808i | \(-0.570158\pi\) |
−0.794717 | + | 0.606981i | \(0.792381\pi\) | |||||||
\(284\) | 9.62361 | 0.571056 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −14.2071 | −0.840082 | ||||||||
\(287\) | −6.41147 | − | 2.33359i | −0.378457 | − | 0.137747i | ||||
\(288\) | −0.500000 | − | 2.83564i | −0.0294628 | − | 0.167092i | ||||
\(289\) | −9.57785 | − | 8.03677i | −0.563403 | − | 0.472751i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.370929 | − | 2.10364i | 0.0217443 | − | 0.123318i | ||||
\(292\) | −1.54916 | + | 2.68323i | −0.0906579 | + | 0.157024i | ||||
\(293\) | 14.4508 | + | 25.0296i | 0.844227 | + | 1.46224i | 0.886291 | + | 0.463129i | \(0.153273\pi\) |
−0.0420640 | + | 0.999115i | \(0.513393\pi\) | |||||||
\(294\) | −1.51842 | + | 0.552659i | −0.0885560 | + | 0.0322317i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −4.72668 | − | 8.18685i | −0.274733 | − | 0.475851i | ||||
\(297\) | −3.17112 | + | 5.49254i | −0.184007 | + | 0.318710i | ||||
\(298\) | −1.26945 | + | 7.19940i | −0.0735371 | + | 0.417050i | ||||
\(299\) | 10.3139 | − | 8.65436i | 0.596466 | − | 0.500494i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.766044 | + | 4.34445i | 0.0441541 | + | 0.250410i | ||||
\(302\) | −0.946967 | − | 0.344668i | −0.0544918 | − | 0.0198334i | ||||
\(303\) | 4.73917 | 0.272258 | ||||||||
\(304\) | 1.15270 | + | 4.20372i | 0.0661121 | + | 0.241100i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −5.73783 | − | 2.08840i | −0.328010 | − | 0.119386i | ||||
\(307\) | −3.61856 | − | 20.5218i | −0.206522 | − | 1.17124i | −0.895027 | − | 0.446012i | \(-0.852844\pi\) |
0.688505 | − | 0.725232i | \(-0.258267\pi\) | |||||||
\(308\) | 3.64543 | + | 3.05888i | 0.207718 | + | 0.174296i | ||||
\(309\) | −1.84137 | + | 1.54509i | −0.104752 | + | 0.0878971i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 7.06670 | − | 12.2399i | 0.400716 | − | 0.694061i | −0.593096 | − | 0.805131i | \(-0.702095\pi\) |
0.993812 | + | 0.111071i | \(0.0354281\pi\) | |||||||
\(312\) | −0.794263 | − | 1.37570i | −0.0449663 | − | 0.0778839i | ||||
\(313\) | −15.9500 | + | 5.80531i | −0.901545 | + | 0.328136i | −0.750872 | − | 0.660448i | \(-0.770366\pi\) |
−0.150673 | + | 0.988584i | \(0.548144\pi\) | |||||||
\(314\) | 18.4402 | − | 6.71167i | 1.04064 | − | 0.378761i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.500000 | − | 0.866025i | 0.0281272 | − | 0.0487177i | ||||
\(317\) | 1.50521 | − | 8.53650i | 0.0845413 | − | 0.479457i | −0.912913 | − | 0.408153i | \(-0.866173\pi\) |
0.997455 | − | 0.0713040i | \(-0.0227160\pi\) | |||||||
\(318\) | −0.0432332 | + | 0.0362770i | −0.00242440 | + | 0.00203431i | ||||
\(319\) | −15.5077 | − | 13.0125i | −0.868267 | − | 0.728562i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.738703 | − | 0.268866i | −0.0412304 | − | 0.0150066i | ||||
\(322\) | −4.50980 | −0.251321 | ||||||||
\(323\) | 8.94238 | + | 2.34029i | 0.497567 | + | 0.130217i | ||||
\(324\) | 7.92902 | 0.440501 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −3.59152 | − | 20.3685i | −0.198916 | − | 1.12811i | ||||
\(327\) | 2.80793 | + | 2.35614i | 0.155279 | + | 0.130295i | ||||
\(328\) | 3.41147 | − | 2.86257i | 0.188367 | − | 0.158059i | ||||
\(329\) | 0.922618 | − | 5.23243i | 0.0508656 | − | 0.288473i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.5412 | + | 25.1861i | 0.799255 | + | 1.38435i | 0.920102 | + | 0.391679i | \(0.128106\pi\) |
−0.120847 | + | 0.992671i | \(0.538561\pi\) | |||||||
\(332\) | 5.01114 | − | 1.82391i | 0.275022 | − | 0.100100i | ||||
\(333\) | 25.5783 | − | 9.30975i | 1.40168 | − | 0.510171i | ||||
\(334\) | 4.26264 | + | 7.38311i | 0.233241 | + | 0.403986i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.0923963 | + | 0.524005i | −0.00504063 | + | 0.0285868i | ||||
\(337\) | 6.62907 | − | 5.56245i | 0.361108 | − | 0.303006i | −0.444124 | − | 0.895965i | \(-0.646485\pi\) |
0.805232 | + | 0.592959i | \(0.202041\pi\) | |||||||
\(338\) | 6.06805 | + | 5.09170i | 0.330058 | + | 0.276952i | ||||
\(339\) | −1.18779 | − | 6.73627i | −0.0645117 | − | 0.365864i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 20.4884 | 1.10951 | ||||||||
\(342\) | −12.4966 | + | 1.16679i | −0.675739 | + | 0.0630929i | ||||
\(343\) | −17.8530 | −0.963970 | ||||||||
\(344\) | −2.70574 | − | 0.984808i | −0.145884 | − | 0.0530973i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.52094 | + | 2.95442i | 0.189287 | + | 0.158831i | ||||
\(347\) | −12.9572 | + | 10.8724i | −0.695581 | + | 0.583662i | −0.920513 | − | 0.390713i | \(-0.872229\pi\) |
0.224932 | + | 0.974375i | \(0.427784\pi\) | |||||||
\(348\) | 0.393056 | − | 2.22913i | 0.0210700 | − | 0.119494i | ||||
\(349\) | 6.70574 | − | 11.6147i | 0.358950 | − | 0.621719i | −0.628836 | − | 0.777538i | \(-0.716468\pi\) |
0.987786 | + | 0.155819i | \(0.0498016\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 8.77631 | − | 3.19432i | 0.468445 | − | 0.170500i | ||||
\(352\) | −2.91875 | + | 1.06234i | −0.155570 | + | 0.0566228i | ||||
\(353\) | −14.3097 | − | 24.7852i | −0.761631 | − | 1.31918i | −0.942010 | − | 0.335586i | \(-0.891066\pi\) |
0.180379 | − | 0.983597i | \(-0.442268\pi\) | |||||||
\(354\) | −2.46064 | + | 4.26195i | −0.130781 | + | 0.226520i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 5.37939 | − | 4.51384i | 0.285107 | − | 0.239233i | ||||
\(357\) | 0.864370 | + | 0.725293i | 0.0457473 | + | 0.0383866i | ||||
\(358\) | −1.12196 | − | 6.36295i | −0.0592974 | − | 0.336292i | ||||
\(359\) | 16.3503 | + | 5.95102i | 0.862935 | + | 0.314083i | 0.735303 | − | 0.677739i | \(-0.237040\pi\) |
0.127633 | + | 0.991822i | \(0.459262\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 18.6716 | − | 3.51735i | 0.982715 | − | 0.185124i | ||||
\(362\) | 8.36184 | 0.439489 | ||||||||
\(363\) | −0.441341 | − | 0.160635i | −0.0231644 | − | 0.00843116i | ||||
\(364\) | −1.21688 | − | 6.90128i | −0.0637819 | − | 0.361725i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 2.13429 | − | 1.79088i | 0.111561 | − | 0.0936107i | ||||
\(367\) | 5.27420 | − | 29.9115i | 0.275311 | − | 1.56137i | −0.462662 | − | 0.886535i | \(-0.653106\pi\) |
0.737973 | − | 0.674830i | \(-0.235783\pi\) | |||||||
\(368\) | 1.47178 | − | 2.54920i | 0.0767219 | − | 0.132886i | ||||
\(369\) | 6.41147 | + | 11.1050i | 0.333768 | + | 0.578103i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.233956 | + | 0.0851529i | −0.0121464 | + | 0.00442092i | ||||
\(372\) | 1.14543 | + | 1.98394i | 0.0593878 | + | 0.102863i | ||||
\(373\) | −16.5239 | + | 28.6203i | −0.855577 | + | 1.48190i | 0.0205316 | + | 0.999789i | \(0.493464\pi\) |
−0.876109 | + | 0.482114i | \(0.839869\pi\) | |||||||
\(374\) | −1.14378 | + | 6.48670i | −0.0591435 | + | 0.335419i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.65657 | + | 2.22913i | 0.137002 | + | 0.114959i | ||||
\(377\) | 5.17664 | + | 29.3582i | 0.266611 | + | 1.51202i | ||||
\(378\) | −2.93969 | − | 1.06996i | −0.151201 | − | 0.0550328i | ||||
\(379\) | 18.2344 | 0.936639 | 0.468320 | − | 0.883559i | \(-0.344860\pi\) | ||||
0.468320 | + | 0.883559i | \(0.344860\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.22432 | −0.165187 | ||||||||
\(382\) | 25.0415 | + | 9.11435i | 1.28123 | + | 0.466331i | ||||
\(383\) | −5.77285 | − | 32.7395i | −0.294979 | − | 1.67291i | −0.667288 | − | 0.744800i | \(-0.732545\pi\) |
0.372309 | − | 0.928109i | \(-0.378566\pi\) | |||||||
\(384\) | −0.266044 | − | 0.223238i | −0.0135765 | − | 0.0113921i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −4.14930 | + | 23.5319i | −0.211194 | + | 1.19774i | ||||
\(387\) | 4.14543 | − | 7.18009i | 0.210724 | − | 0.364985i | ||||
\(388\) | 3.07532 | + | 5.32661i | 0.156126 | + | 0.270418i | ||||
\(389\) | −6.70486 | + | 2.44037i | −0.339950 | + | 0.123732i | −0.506353 | − | 0.862326i | \(-0.669007\pi\) |
0.166403 | + | 0.986058i | \(0.446785\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.12108 | − | 5.40587i | −0.157840 | − | 0.273387i | ||||
\(392\) | 2.32635 | − | 4.02936i | 0.117499 | − | 0.203513i | ||||
\(393\) | −0.169940 | + | 0.963777i | −0.00857233 | + | 0.0486161i | ||||
\(394\) | 9.34524 | − | 7.84158i | 0.470806 | − | 0.395053i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −1.55303 | − | 8.80769i | −0.0780429 | − | 0.442603i | ||||
\(397\) | 19.9522 | + | 7.26200i | 1.00137 | + | 0.364469i | 0.790113 | − | 0.612961i | \(-0.210022\pi\) |
0.211258 | + | 0.977430i | \(0.432244\pi\) | |||||||
\(398\) | 13.7374 | 0.688594 | ||||||||
\(399\) | 2.24376 | + | 0.587208i | 0.112328 | + | 0.0293972i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −30.7327 | − | 11.1858i | −1.53472 | − | 0.558591i | −0.569945 | − | 0.821683i | \(-0.693036\pi\) |
−0.964771 | + | 0.263092i | \(0.915258\pi\) | |||||||
\(402\) | 0.518418 | + | 2.94010i | 0.0258564 | + | 0.146639i | ||||
\(403\) | −23.1125 | − | 19.3937i | −1.15131 | − | 0.966067i | ||||
\(404\) | −10.4534 | + | 8.77141i | −0.520074 | + | 0.436394i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.99273 | − | 8.64766i | 0.247785 | − | 0.429176i | ||||
\(407\) | −14.6814 | − | 25.4289i | −0.727729 | − | 1.26046i | ||||
\(408\) | −0.692066 | + | 0.251892i | −0.0342624 | + | 0.0124705i | ||||
\(409\) | −10.7947 | + | 3.92896i | −0.533765 | + | 0.194275i | −0.594819 | − | 0.803860i | \(-0.702776\pi\) |
0.0610536 | + | 0.998134i | \(0.480554\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.115867 | + | 0.200688i | −0.00571530 | + | 0.00989919i | ||||
\(412\) | 1.20187 | − | 6.81612i | 0.0592117 | − | 0.335806i | ||||
\(413\) | −16.6309 | + | 13.9550i | −0.818352 | + | 0.686679i | ||||
\(414\) | 6.49273 | + | 5.44804i | 0.319100 | + | 0.267757i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 4.29813 | + | 1.56439i | 0.210733 | + | 0.0767007i | ||||
\(417\) | 3.62267 | 0.177403 | ||||||||
\(418\) | 3.58037 | + | 13.0570i | 0.175122 | + | 0.638641i | ||||
\(419\) | −17.0401 | −0.832465 | −0.416233 | − | 0.909258i | \(-0.636650\pi\) | ||||
−0.416233 | + | 0.909258i | \(0.636650\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.92989 | − | 16.6162i | −0.142794 | − | 0.809826i | −0.969112 | − | 0.246622i | \(-0.920679\pi\) |
0.826318 | − | 0.563204i | \(-0.190432\pi\) | |||||||
\(422\) | 11.6120 | + | 9.74362i | 0.565263 | + | 0.474312i | ||||
\(423\) | −7.64930 | + | 6.41852i | −0.371922 | + | 0.312079i | ||||
\(424\) | 0.0282185 | − | 0.160035i | 0.00137041 | − | 0.00777199i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 1.67112 | + | 2.89447i | 0.0809661 | + | 0.140237i | ||||
\(427\) | 11.5496 | − | 4.20372i | 0.558926 | − | 0.203432i | ||||
\(428\) | 2.12701 | − | 0.774169i | 0.102813 | − | 0.0374209i | ||||
\(429\) | −2.46703 | − | 4.27303i | −0.119110 | − | 0.206304i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 3.69547 | − | 20.9581i | 0.178005 | − | 1.00951i | −0.756614 | − | 0.653862i | \(-0.773148\pi\) |
0.934618 | − | 0.355652i | \(-0.115741\pi\) | |||||||
\(432\) | 1.56418 | − | 1.31250i | 0.0752565 | − | 0.0631477i | ||||
\(433\) | 11.9192 | + | 10.0014i | 0.572801 | + | 0.480637i | 0.882574 | − | 0.470173i | \(-0.155809\pi\) |
−0.309773 | + | 0.950811i | \(0.600253\pi\) | |||||||
\(434\) | 1.75490 | + | 9.95253i | 0.0842379 | + | 0.477737i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.5544 | −0.505463 | ||||||||
\(437\) | −10.5530 | − | 7.29796i | −0.504820 | − | 0.349109i | ||||
\(438\) | −1.07604 | −0.0514151 | ||||||||
\(439\) | 7.84389 | + | 2.85494i | 0.374369 | + | 0.136259i | 0.522350 | − | 0.852731i | \(-0.325055\pi\) |
−0.147982 | + | 0.988990i | \(0.547278\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 10.2626 | + | 8.61138i | 0.488697 | + | 0.410066i | ||||
\(442\) | 7.43036 | − | 6.23481i | 0.353426 | − | 0.296560i | ||||
\(443\) | 3.78194 | − | 21.4484i | 0.179685 | − | 1.01905i | −0.752911 | − | 0.658123i | \(-0.771351\pi\) |
0.932596 | − | 0.360923i | \(-0.117538\pi\) | |||||||
\(444\) | 1.64156 | − | 2.84326i | 0.0779050 | − | 0.134935i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −0.0555596 | + | 0.0202221i | −0.00263083 | + | 0.000957542i | ||||
\(447\) | −2.38578 | + | 0.868354i | −0.112844 | + | 0.0410717i | ||||
\(448\) | −0.766044 | − | 1.32683i | −0.0361922 | − | 0.0626867i | ||||
\(449\) | 2.48886 | − | 4.31082i | 0.117456 | − | 0.203440i | −0.801303 | − | 0.598259i | \(-0.795859\pi\) |
0.918759 | + | 0.394819i | \(0.129193\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 10.5963 | − | 8.89132i | 0.498959 | − | 0.418676i | ||||
\(452\) | 15.0876 | + | 12.6600i | 0.709663 | + | 0.595478i | ||||
\(453\) | −0.0607742 | − | 0.344668i | −0.00285542 | − | 0.0161939i | ||||
\(454\) | 27.7631 | + | 10.1049i | 1.30299 | + | 0.474249i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.06418 | + | 1.07666i | −0.0498347 | + | 0.0504194i | ||||
\(457\) | 38.4047 | 1.79649 | 0.898247 | − | 0.439490i | \(-0.144841\pi\) | ||||
0.898247 | + | 0.439490i | \(0.144841\pi\) | |||||||
\(458\) | 11.8944 | + | 4.32921i | 0.555789 | + | 0.202291i | ||||
\(459\) | −0.751907 | − | 4.26428i | −0.0350960 | − | 0.199039i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 30.5187 | − | 25.6082i | 1.42140 | − | 1.19270i | 0.470813 | − | 0.882233i | \(-0.343961\pi\) |
0.950586 | − | 0.310462i | \(-0.100484\pi\) | |||||||
\(462\) | −0.286989 | + | 1.62760i | −0.0133519 | + | 0.0757226i | ||||
\(463\) | −13.7135 | + | 23.7524i | −0.637319 | + | 1.10387i | 0.348699 | + | 0.937235i | \(0.386623\pi\) |
−0.986019 | + | 0.166635i | \(0.946710\pi\) | |||||||
\(464\) | 3.25877 | + | 5.64436i | 0.151285 | + | 0.262033i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.78699 | + | 1.74232i | −0.221753 | + | 0.0807115i | ||||
\(467\) | 0.393056 | + | 0.680793i | 0.0181885 | + | 0.0315033i | 0.874976 | − | 0.484166i | \(-0.160877\pi\) |
−0.856788 | + | 0.515669i | \(0.827543\pi\) | |||||||
\(468\) | −6.58512 | + | 11.4058i | −0.304397 | + | 0.527232i | ||||
\(469\) | −2.28699 | + | 12.9702i | −0.105603 | + | 0.598906i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 5.22075 | + | 4.38073i | 0.240560 | + | 0.201853i | ||||
\(472\) | −2.46064 | − | 13.9550i | −0.113260 | − | 0.642329i | ||||
\(473\) | −8.40420 | − | 3.05888i | −0.386426 | − | 0.140647i | ||||
\(474\) | 0.347296 | 0.0159518 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −3.24897 | −0.148916 | ||||||||
\(477\) | 0.439693 | + | 0.160035i | 0.0201321 | + | 0.00732750i | ||||
\(478\) | −1.36050 | − | 7.71578i | −0.0622278 | − | 0.352912i | ||||
\(479\) | 5.37417 | + | 4.50946i | 0.245552 | + | 0.206043i | 0.757254 | − | 0.653120i | \(-0.226540\pi\) |
−0.511702 | + | 0.859163i | \(0.670985\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.50846 | + | 42.5826i | −0.342356 | + | 1.94160i | ||||
\(482\) | 8.84776 | − | 15.3248i | 0.403005 | − | 0.698024i | ||||
\(483\) | −0.783119 | − | 1.35640i | −0.0356331 | − | 0.0617184i | ||||
\(484\) | 1.27079 | − | 0.462531i | 0.0577633 | − | 0.0210241i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 4.43969 | + | 7.68977i | 0.201389 | + | 0.348815i | ||||
\(487\) | 11.4611 | − | 19.8512i | 0.519352 | − | 0.899544i | −0.480395 | − | 0.877052i | \(-0.659507\pi\) |
0.999747 | − | 0.0224920i | \(-0.00716004\pi\) | |||||||
\(488\) | −1.39306 | + | 7.90041i | −0.0630607 | + | 0.357635i | ||||
\(489\) | 5.50253 | − | 4.61717i | 0.248833 | − | 0.208796i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.21167 | + | 12.5430i | 0.0998111 | + | 0.566057i | 0.993166 | + | 0.116706i | \(0.0372336\pi\) |
−0.893355 | + | 0.449351i | \(0.851655\pi\) | |||||||
\(492\) | 1.45336 | + | 0.528981i | 0.0655227 | + | 0.0238483i | ||||
\(493\) | 13.8212 | 0.622475 | ||||||||
\(494\) | 8.32042 | − | 18.1184i | 0.374353 | − | 0.815183i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −6.19846 | − | 2.25606i | −0.278319 | − | 0.101300i | ||||
\(497\) | 2.56031 | + | 14.5202i | 0.114845 | + | 0.651321i | ||||
\(498\) | 1.41875 | + | 1.19047i | 0.0635756 | + | 0.0533463i | ||||
\(499\) | 24.4782 | − | 20.5396i | 1.09579 | − | 0.919480i | 0.0986586 | − | 0.995121i | \(-0.468545\pi\) |
0.997135 | + | 0.0756412i | \(0.0241004\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.48040 | + | 2.56413i | −0.0661394 | + | 0.114557i | ||||
\(502\) | 2.70961 | + | 4.69318i | 0.120936 | + | 0.209467i | ||||
\(503\) | −12.4765 | + | 4.54109i | −0.556301 | + | 0.202477i | −0.604844 | − | 0.796344i | \(-0.706764\pi\) |
0.0485429 | + | 0.998821i | \(0.484542\pi\) | |||||||
\(504\) | 4.14543 | − | 1.50881i | 0.184652 | − | 0.0672079i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 4.57145 | − | 7.91799i | 0.203226 | − | 0.351997i | ||||
\(507\) | −0.477711 | + | 2.70924i | −0.0212159 | + | 0.120321i | ||||
\(508\) | 7.11200 | − | 5.96767i | 0.315544 | − | 0.264773i | ||||
\(509\) | 26.0522 | + | 21.8604i | 1.15474 | + | 0.968943i | 0.999820 | − | 0.0189836i | \(-0.00604302\pi\) |
0.154922 | + | 0.987927i | \(0.450487\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.46064 | − | 1.62354i | −0.197327 | − | 0.0718211i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −5.14749 | − | 7.26087i | −0.227267 | − | 0.320575i | ||||
\(514\) | −6.89662 | −0.304197 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −0.173648 | − | 0.984808i | −0.00764443 | − | 0.0433537i | ||||
\(517\) | 8.25150 | + | 6.92383i | 0.362900 | + | 0.304510i | ||||
\(518\) | 11.0949 | − | 9.30975i | 0.487483 | − | 0.409047i | ||||
\(519\) | −0.277189 | + | 1.57202i | −0.0121672 | + | 0.0690038i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6.03802 | + | 10.4582i | 0.264530 | + | 0.458180i | 0.967440 | − | 0.253099i | \(-0.0814497\pi\) |
−0.702910 | + | 0.711279i | \(0.748116\pi\) | |||||||
\(522\) | −17.6348 | + | 6.41852i | −0.771852 | + | 0.280931i | ||||
\(523\) | −13.3960 | + | 4.87576i | −0.585768 | + | 0.213202i | −0.617867 | − | 0.786282i | \(-0.712003\pi\) |
0.0320989 | + | 0.999485i | \(0.489781\pi\) | |||||||
\(524\) | −1.40895 | − | 2.44037i | −0.0615502 | − | 0.106608i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.12361 | + | 12.0436i | −0.0925937 | + | 0.525125i | ||||
\(527\) | −10.7155 | + | 8.99140i | −0.466776 | + | 0.391672i | ||||
\(528\) | −0.826352 | − | 0.693392i | −0.0359623 | − | 0.0301760i | ||||
\(529\) | −2.48932 | − | 14.1176i | −0.108231 | − | 0.613811i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 40.8016 | 1.77064 | ||||||||
\(532\) | −6.03596 | + | 2.85759i | −0.261692 | + | 0.123892i | ||||
\(533\) | −20.3696 | −0.882305 | ||||||||
\(534\) | 2.29174 | + | 0.834124i | 0.0991731 | + | 0.0360961i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −6.58512 | − | 5.52557i | −0.284434 | − | 0.238668i | ||||
\(537\) | 1.71894 | − | 1.44236i | 0.0741778 | − | 0.0622425i | ||||
\(538\) | −1.94087 | + | 11.0072i | −0.0836770 | + | 0.474556i | ||||
\(539\) | 7.22580 | − | 12.5155i | 0.311237 | − | 0.539079i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 29.9948 | − | 10.9172i | 1.28958 | − | 0.469368i | 0.395990 | − | 0.918255i | \(-0.370401\pi\) |
0.893589 | + | 0.448886i | \(0.148179\pi\) | |||||||
\(542\) | 18.3751 | − | 6.68799i | 0.789278 | − | 0.287274i | ||||
\(543\) | 1.45202 | + | 2.51497i | 0.0623121 | + | 0.107928i | ||||
\(544\) | 1.06031 | − | 1.83651i | 0.0454603 | − | 0.0787396i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 1.86437 | − | 1.56439i | 0.0797877 | − | 0.0669498i | ||||
\(547\) | −0.913534 | − | 0.766546i | −0.0390599 | − | 0.0327751i | 0.623049 | − | 0.782183i | \(-0.285894\pi\) |
−0.662109 | + | 0.749408i | \(0.730338\pi\) | |||||||
\(548\) | −0.115867 | − | 0.657115i | −0.00494959 | − | 0.0280705i | ||||
\(549\) | −21.7062 | − | 7.90041i | −0.926398 | − | 0.337181i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 25.6771 | − | 12.1563i | 1.09388 | − | 0.517874i | ||||
\(552\) | 1.02229 | 0.0435115 | ||||||||
\(553\) | 1.43969 | + | 0.524005i | 0.0612220 | + | 0.0222830i | ||||
\(554\) | −4.41266 | − | 25.0254i | −0.187476 | − | 1.06323i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.99067 | + | 6.70497i | −0.338880 | + | 0.284354i | ||||
\(557\) | 6.37922 | − | 36.1784i | 0.270296 | − | 1.53293i | −0.483221 | − | 0.875499i | \(-0.660533\pi\) |
0.753517 | − | 0.657428i | \(-0.228356\pi\) | |||||||
\(558\) | 9.49660 | − | 16.4486i | 0.402023 | − | 0.696324i | ||||
\(559\) | 6.58512 | + | 11.4058i | 0.278521 | + | 0.482413i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.14960 | + | 0.782392i | −0.0907564 | + | 0.0330326i | ||||
\(562\) | −9.54916 | − | 16.5396i | −0.402807 | − | 0.697682i | ||||
\(563\) | −18.5239 | + | 32.0844i | −0.780691 | + | 1.35220i | 0.150849 | + | 0.988557i | \(0.451799\pi\) |
−0.931540 | + | 0.363639i | \(0.881534\pi\) | |||||||
\(564\) | −0.209141 | + | 1.18610i | −0.00880641 | + | 0.0499436i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 13.8969 | + | 11.6609i | 0.584131 | + | 0.490144i | ||||
\(567\) | 2.10947 | + | 11.9634i | 0.0885894 | + | 0.502416i | ||||
\(568\) | −9.04323 | − | 3.29147i | −0.379446 | − | 0.138107i | ||||
\(569\) | −6.61081 | −0.277140 | −0.138570 | − | 0.990353i | \(-0.544251\pi\) | ||||
−0.138570 | + | 0.990353i | \(0.544251\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −44.6263 | −1.86755 | −0.933776 | − | 0.357858i | \(-0.883507\pi\) | ||||
−0.933776 | + | 0.357858i | \(0.883507\pi\) | |||||||
\(572\) | 13.3503 | + | 4.85911i | 0.558204 | + | 0.203170i | ||||
\(573\) | 1.60711 | + | 9.11435i | 0.0671378 | + | 0.380758i | ||||
\(574\) | 5.22668 | + | 4.38571i | 0.218157 | + | 0.183056i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −0.500000 | + | 2.83564i | −0.0208333 | + | 0.118152i | ||||
\(577\) | 5.25237 | − | 9.09738i | 0.218659 | − | 0.378729i | −0.735739 | − | 0.677265i | \(-0.763165\pi\) |
0.954398 | + | 0.298536i | \(0.0964984\pi\) | |||||||
\(578\) | 6.25150 | + | 10.8279i | 0.260028 | + | 0.450382i | ||||
\(579\) | −7.79813 | + | 2.83829i | −0.324079 | + | 0.117955i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 4.08512 | + | 7.07564i | 0.169479 | + | 0.293547i | ||||
\(582\) | −1.06805 | + | 1.84991i | −0.0442720 | + | 0.0766814i | ||||
\(583\) | 0.0876485 | − | 0.497079i | 0.00363003 | − | 0.0205869i | ||||
\(584\) | 2.37346 | − | 1.99157i | 0.0982143 | − | 0.0824116i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −5.01872 | − | 28.4626i | −0.207322 | − | 1.17578i | ||||
\(587\) | 21.1677 | + | 7.70442i | 0.873685 | + | 0.317995i | 0.739659 | − | 0.672982i | \(-0.234987\pi\) |
0.134027 | + | 0.990978i | \(0.457209\pi\) | |||||||
\(588\) | 1.61587 | 0.0666372 | ||||||||
\(589\) | −11.9991 | + | 26.1290i | −0.494415 | + | 1.07663i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.98128 | + | 1.44907i | 0.163768 | + | 0.0596066i | ||||
\(592\) | 1.64156 | + | 9.30975i | 0.0674677 | + | 0.382628i | ||||
\(593\) | −28.3141 | − | 23.7583i | −1.16272 | − | 0.975638i | −0.162781 | − | 0.986662i | \(-0.552046\pi\) |
−0.999939 | + | 0.0110244i | \(0.996491\pi\) | |||||||
\(594\) | 4.85844 | − | 4.07672i | 0.199344 | − | 0.167270i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3.65523 | − | 6.33104i | 0.149724 | − | 0.259330i | ||||
\(597\) | 2.38548 | + | 4.13177i | 0.0976311 | + | 0.169102i | ||||
\(598\) | −12.6518 | + | 4.60489i | −0.517372 | + | 0.188308i | ||||
\(599\) | 20.5125 | − | 7.46594i | 0.838118 | − | 0.305050i | 0.112931 | − | 0.993603i | \(-0.463976\pi\) |
0.725186 | + | 0.688553i | \(0.241754\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −19.6074 | + | 33.9610i | −0.799803 | + | 1.38530i | 0.119941 | + | 0.992781i | \(0.461729\pi\) |
−0.919744 | + | 0.392518i | \(0.871604\pi\) | |||||||
\(602\) | 0.766044 | − | 4.34445i | 0.0312216 | − | 0.177067i | ||||
\(603\) | 18.9611 | − | 15.9103i | 0.772156 | − | 0.647916i | ||||
\(604\) | 0.771974 | + | 0.647763i | 0.0314112 | + | 0.0263571i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −4.45336 | − | 1.62089i | −0.180906 | − | 0.0658442i | ||||
\(607\) | 10.9135 | 0.442967 | 0.221483 | − | 0.975164i | \(-0.428910\pi\) | ||||
0.221483 | + | 0.975164i | \(0.428910\pi\) | |||||||
\(608\) | 0.354570 | − | 4.34445i | 0.0143797 | − | 0.176191i | ||||
\(609\) | 3.46791 | 0.140527 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −2.75443 | − | 15.6212i | −0.111432 | − | 0.631965i | ||||
\(612\) | 4.67752 | + | 3.92490i | 0.189077 | + | 0.158655i | ||||
\(613\) | 1.77126 | − | 1.48626i | 0.0715405 | − | 0.0600296i | −0.606316 | − | 0.795224i | \(-0.707353\pi\) |
0.677857 | + | 0.735194i | \(0.262909\pi\) | |||||||
\(614\) | −3.61856 | + | 20.5218i | −0.146033 | + | 0.828194i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.37939 | − | 4.12122i | −0.0958682 | − | 0.166049i | ||||
\(617\) | −41.4004 | + | 15.0685i | −1.66672 | + | 0.606635i | −0.991397 | − | 0.130890i | \(-0.958217\pi\) |
−0.675320 | + | 0.737525i | \(0.735994\pi\) | |||||||
\(618\) | 2.25877 | − | 0.822125i | 0.0908611 | − | 0.0330707i | ||||
\(619\) | 13.2883 | + | 23.0161i | 0.534103 | + | 0.925094i | 0.999206 | + | 0.0398373i | \(0.0126840\pi\) |
−0.465103 | + | 0.885257i | \(0.653983\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.04370 | + | 5.91912i | −0.0418822 | + | 0.237526i | ||||
\(622\) | −10.8268 | + | 9.08478i | −0.434116 | + | 0.364266i | ||||
\(623\) | 8.24170 | + | 6.91560i | 0.330197 | + | 0.277068i | ||||
\(624\) | 0.275845 | + | 1.56439i | 0.0110426 | + | 0.0626258i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 16.9736 | 0.678401 | ||||||||
\(627\) | −3.30541 | + | 3.34419i | −0.132005 | + | 0.133554i | ||||
\(628\) | −19.6236 | −0.783067 | ||||||||
\(629\) | 18.8380 | + | 6.85646i | 0.751119 | + | 0.273385i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −33.0822 | − | 27.7592i | −1.31698 | − | 1.10508i | −0.986936 | − | 0.161113i | \(-0.948492\pi\) |
−0.330045 | − | 0.943965i | \(-0.607064\pi\) | |||||||
\(632\) | −0.766044 | + | 0.642788i | −0.0304716 | + | 0.0255687i | ||||
\(633\) | −0.914162 | + | 5.18447i | −0.0363347 | + | 0.206064i | ||||
\(634\) | −4.33409 | + | 7.50687i | −0.172129 | + | 0.298136i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0.0530334 | − | 0.0193026i | 0.00210291 | − | 0.000765397i | ||||
\(637\) | −19.9979 | + | 7.27866i | −0.792347 | + | 0.288391i | ||||
\(638\) | 10.1220 | + | 17.5317i | 0.400732 | + | 0.694089i | ||||
\(639\) | 13.8550 | − | 23.9976i | 0.548097 | − | 0.949332i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −16.7536 | + | 14.0579i | −0.661726 | + | 0.555254i | −0.910603 | − | 0.413281i | \(-0.864383\pi\) |
0.248878 | + | 0.968535i | \(0.419938\pi\) | |||||||
\(642\) | 0.602196 | + | 0.505303i | 0.0237668 | + | 0.0199427i | ||||
\(643\) | −3.09121 | − | 17.5311i | −0.121906 | − | 0.691361i | −0.983098 | − | 0.183081i | \(-0.941393\pi\) |
0.861192 | − | 0.508280i | \(-0.169718\pi\) | |||||||
\(644\) | 4.23783 | + | 1.54244i | 0.166994 | + | 0.0607807i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −7.60266 | − | 5.25763i | −0.299123 | − | 0.206859i | ||||
\(647\) | 36.6641 | 1.44141 | 0.720707 | − | 0.693240i | \(-0.243818\pi\) | ||||
0.720707 | + | 0.693240i | \(0.243818\pi\) | |||||||
\(648\) | −7.45084 | − | 2.71188i | −0.292697 | − | 0.106533i | ||||
\(649\) | −7.64290 | − | 43.3451i | −0.300010 | − | 1.70144i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −2.68866 | + | 2.25606i | −0.105377 | + | 0.0884218i | ||||
\(652\) | −3.59152 | + | 20.3685i | −0.140655 | + | 0.797693i | ||||
\(653\) | 5.70439 | − | 9.88030i | 0.223230 | − | 0.386646i | −0.732557 | − | 0.680706i | \(-0.761673\pi\) |
0.955787 | + | 0.294060i | \(0.0950065\pi\) | |||||||
\(654\) | −1.83275 | − | 3.17441i | −0.0716661 | − | 0.124129i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −4.18479 | + | 1.52314i | −0.163389 | + | 0.0594686i | ||||
\(657\) | 4.46064 | + | 7.72605i | 0.174026 | + | 0.301422i | ||||
\(658\) | −2.65657 | + | 4.60132i | −0.103564 | + | 0.179378i | ||||
\(659\) | −4.58606 | + | 26.0088i | −0.178647 | + | 1.01316i | 0.755202 | + | 0.655492i | \(0.227539\pi\) |
−0.933849 | + | 0.357667i | \(0.883572\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −14.5858 | − | 12.2390i | −0.567323 | − | 0.476041i | 0.313433 | − | 0.949610i | \(-0.398521\pi\) |
−0.880756 | + | 0.473569i | \(0.842965\pi\) | |||||||
\(662\) | −5.05010 | − | 28.6405i | −0.196278 | − | 1.11315i | ||||
\(663\) | 3.16550 | + | 1.15215i | 0.122938 | + | 0.0447457i | ||||
\(664\) | −5.33275 | −0.206951 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −27.2199 | −1.05475 | ||||||||
\(667\) | −18.0278 | − | 6.56159i | −0.698040 | − | 0.254066i | ||||
\(668\) | −1.48040 | − | 8.39576i | −0.0572784 | − | 0.324842i | ||||
\(669\) | −0.0157300 | − | 0.0131990i | −0.000608156 | − | 0.000510303i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −4.32692 | + | 24.5392i | −0.167039 | + | 0.947326i | ||||
\(672\) | 0.266044 | − | 0.460802i | 0.0102629 | − | 0.0177758i | ||||
\(673\) | −3.75402 | − | 6.50216i | −0.144707 | − | 0.250640i | 0.784557 | − | 0.620057i | \(-0.212891\pi\) |
−0.929264 | + | 0.369417i | \(0.879557\pi\) | |||||||
\(674\) | −8.13176 | + | 2.95972i | −0.313224 | + | 0.114004i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3.96064 | − | 6.86002i | −0.152332 | − | 0.263847i | ||||
\(677\) | −19.6707 | + | 34.0707i | −0.756007 | + | 1.30944i | 0.188865 | + | 0.982003i | \(0.439519\pi\) |
−0.944872 | + | 0.327439i | \(0.893814\pi\) | |||||||
\(678\) | −1.18779 | + | 6.73627i | −0.0456166 | + | 0.258705i | ||||
\(679\) | −7.21869 | + | 6.05720i | −0.277028 | + | 0.232454i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 1.78177 | + | 10.1049i | 0.0682777 | + | 0.387222i | ||||
\(682\) | −19.2528 | − | 7.00746i | −0.737229 | − | 0.268330i | ||||
\(683\) | −8.36278 | −0.319993 | −0.159996 | − | 0.987118i | \(-0.551148\pi\) | ||||
−0.159996 | + | 0.987118i | \(0.551148\pi\) | |||||||
\(684\) | 12.1420 | + | 3.17766i | 0.464262 | + | 0.121501i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 16.7763 | + | 6.10608i | 0.640523 | + | 0.233131i | ||||
\(687\) | 0.763356 | + | 4.32921i | 0.0291239 | + | 0.165170i | ||||
\(688\) | 2.20574 | + | 1.85083i | 0.0840929 | + | 0.0705624i | ||||
\(689\) | −0.569392 | + | 0.477777i | −0.0216921 | + | 0.0182019i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 23.8143 | − | 41.2476i | 0.905940 | − | 1.56913i | 0.0862891 | − | 0.996270i | \(-0.472499\pi\) |
0.819651 | − | 0.572864i | \(-0.194168\pi\) | |||||||
\(692\) | −2.29813 | − | 3.98048i | −0.0873619 | − | 0.151315i | ||||
\(693\) | 12.8760 | − | 4.68647i | 0.489118 | − | 0.178024i | ||||
\(694\) | 15.8944 | − | 5.78509i | 0.603343 | − | 0.219599i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −1.13176 | + | 1.96026i | −0.0428992 | + | 0.0743036i | ||||
\(697\) | −1.63991 | + | 9.30039i | −0.0621160 | + | 0.352278i | ||||
\(698\) | −10.2738 | + | 8.62073i | −0.388869 | + | 0.326299i | ||||
\(699\) | −1.35529 | − | 1.13722i | −0.0512616 | − | 0.0430136i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 7.66550 | + | 2.79001i | 0.289522 | + | 0.105377i | 0.482698 | − | 0.875787i | \(-0.339657\pi\) |
−0.193176 | + | 0.981164i | \(0.561879\pi\) | |||||||
\(702\) | −9.33956 | −0.352499 | ||||||||
\(703\) | 41.0278 | − | 3.83072i | 1.54739 | − | 0.144478i | ||||
\(704\) | 3.10607 | 0.117064 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.96972 | + | 28.1847i | 0.187038 | + | 1.06074i | ||||
\(707\) | −16.0155 | − | 13.4386i | −0.602324 | − | 0.505410i | ||||
\(708\) | 3.76991 | − | 3.16333i | 0.141682 | − | 0.118885i | ||||
\(709\) | −0.574693 | + | 3.25925i | −0.0215831 | + | 0.122404i | −0.993696 | − | 0.112111i | \(-0.964239\pi\) |
0.972113 | + | 0.234514i | \(0.0753500\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.43969 | − | 2.49362i | −0.0539927 | − | 0.0935181i | ||||
\(712\) | −6.59879 | + | 2.40176i | −0.247300 | + | 0.0900099i | ||||
\(713\) | 18.2456 | − | 6.64084i | 0.683302 | − | 0.248702i | ||||
\(714\) | −0.564178 | − | 0.977185i | −0.0211138 | − | 0.0365702i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −1.12196 | + | 6.36295i | −0.0419296 | + | 0.237794i | ||||
\(717\) | 2.08441 | − | 1.74903i | 0.0778436 | − | 0.0653185i | ||||
\(718\) | −13.3289 | − | 11.1843i | −0.497429 | − | 0.417393i | ||||
\(719\) | −3.32723 | − | 18.8697i | −0.124085 | − | 0.703719i | −0.981847 | − | 0.189673i | \(-0.939257\pi\) |
0.857763 | − | 0.514046i | \(-0.171854\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 10.6040 | 0.394914 | ||||||||
\(722\) | −18.7486 | − | 3.08083i | −0.697749 | − | 0.114657i | ||||
\(723\) | 6.14559 | 0.228557 | ||||||||
\(724\) | −7.85756 | − | 2.85992i | −0.292024 | − | 0.106288i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0.359785 | + | 0.301895i | 0.0133529 | + | 0.0112044i | ||||
\(727\) | −3.77063 | + | 3.16393i | −0.139845 | + | 0.117344i | −0.710027 | − | 0.704175i | \(-0.751317\pi\) |
0.570182 | + | 0.821519i | \(0.306873\pi\) | |||||||
\(728\) | −1.21688 | + | 6.90128i | −0.0451006 | + | 0.255778i | ||||
\(729\) | 10.3516 | − | 17.9296i | 0.383394 | − | 0.664058i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 5.73783 | − | 2.08840i | 0.212221 | − | 0.0772422i | ||||
\(732\) | −2.61809 | + | 0.952906i | −0.0967673 | + | 0.0352204i | ||||
\(733\) | 7.02956 | + | 12.1756i | 0.259643 | + | 0.449715i | 0.966146 | − | 0.257995i | \(-0.0830618\pi\) |
−0.706503 | + | 0.707710i | \(0.749729\pi\) | |||||||
\(734\) | −15.1864 | + | 26.3037i | −0.560542 | + | 0.970887i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.25490 | + | 1.89209i | −0.0831167 | + | 0.0697432i | ||||
\(737\) | −20.4538 | − | 17.1628i | −0.753427 | − | 0.632200i | ||||
\(738\) | −2.22668 | − | 12.6281i | −0.0819653 | − | 0.464848i | ||||
\(739\) | −29.9923 | − | 10.9163i | −1.10329 | − | 0.401563i | −0.274759 | − | 0.961513i | \(-0.588598\pi\) |
−0.828526 | + | 0.559950i | \(0.810820\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 6.89424 | − | 0.643707i | 0.253266 | − | 0.0236472i | ||||
\(742\) | 0.248970 | 0.00913999 | ||||||||
\(743\) | −3.32800 | − | 1.21129i | −0.122093 | − | 0.0444380i | 0.280251 | − | 0.959927i | \(-0.409582\pi\) |
−0.402344 | + | 0.915489i | \(0.631804\pi\) | |||||||
\(744\) | −0.397804 | − | 2.25606i | −0.0145842 | − | 0.0827110i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 25.3161 | − | 21.2428i | 0.926890 | − | 0.777753i | ||||
\(747\) | 2.66637 | − | 15.1218i | 0.0975575 | − | 0.553276i | ||||
\(748\) | 3.29339 | − | 5.70431i | 0.120418 | − | 0.208570i | ||||
\(749\) | 1.73396 | + | 3.00330i | 0.0633574 | + | 0.109738i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 6.10354 | − | 2.22151i | 0.222721 | − | 0.0810639i | −0.228249 | − | 0.973603i | \(-0.573300\pi\) |
0.450971 | + | 0.892539i | \(0.351078\pi\) | |||||||
\(752\) | −1.73396 | − | 3.00330i | −0.0632309 | − | 0.109519i | ||||
\(753\) | −0.941037 | + | 1.62992i | −0.0342933 | + | 0.0593977i | ||||
\(754\) | 5.17664 | − | 29.3582i | 0.188522 | − | 1.06916i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 2.39646 | + | 2.01087i | 0.0871584 | + | 0.0731346i | ||||
\(757\) | −4.07486 | − | 23.1097i | −0.148103 | − | 0.839935i | −0.964823 | − | 0.262900i | \(-0.915321\pi\) |
0.816720 | − | 0.577034i | \(-0.195790\pi\) | |||||||
\(758\) | −17.1348 | − | 6.23654i | −0.622362 | − | 0.226521i | ||||
\(759\) | 3.17530 | 0.115256 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −20.8399 | −0.755444 | −0.377722 | − | 0.925919i | \(-0.623293\pi\) | ||||
−0.377722 | + | 0.925919i | \(0.623293\pi\) | |||||||
\(762\) | 3.02987 | + | 1.10278i | 0.109761 | + | 0.0399496i | ||||
\(763\) | −2.80793 | − | 15.9246i | −0.101654 | − | 0.576509i | ||||
\(764\) | −20.4140 | − | 17.1294i | −0.738553 | − | 0.619719i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −5.77285 | + | 32.7395i | −0.208582 | + | 1.18293i | ||||
\(767\) | −32.4072 | + | 56.1309i | −1.17016 | + | 2.02677i | ||||
\(768\) | 0.173648 | + | 0.300767i | 0.00626599 | + | 0.0108530i | ||||
\(769\) | 35.9632 | − | 13.0895i | 1.29687 | − | 0.472021i | 0.400892 | − | 0.916125i | \(-0.368700\pi\) |
0.895975 | + | 0.444104i | \(0.146478\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.19759 | − | 2.07428i | −0.0431300 | − | 0.0747033i | ||||
\(772\) | 11.9474 | − | 20.6936i | 0.429998 | − | 0.744778i | ||||
\(773\) | −5.56330 | + | 31.5510i | −0.200098 | + | 1.13481i | 0.704871 | + | 0.709335i | \(0.251005\pi\) |
−0.904969 | + | 0.425477i | \(0.860106\pi\) | |||||||
\(774\) | −6.35117 | + | 5.32926i | −0.228288 | + | 0.191556i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −1.06805 | − | 6.05720i | −0.0383407 | − | 0.217441i | ||||
\(777\) | 4.72668 | + | 1.72037i | 0.169569 | + | 0.0617180i | ||||
\(778\) | 7.13516 | 0.255808 | ||||||||
\(779\) | 5.13341 | + | 18.7207i | 0.183923 | + | 0.670739i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −28.0889 | − | 10.2235i | −1.00510 | − | 0.365826i | ||||
\(782\) | 1.08394 | + | 6.14733i | 0.0387616 | + | 0.219828i | ||||
\(783\) | −10.1946 | − | 8.55428i | −0.364325 | − | 0.305705i | ||||
\(784\) | −3.56418 | + | 2.99070i | −0.127292 | + | 0.106811i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0.489322 | − | 0.847531i | 0.0174536 | − | 0.0302304i | ||||
\(787\) | −14.0805 | − | 24.3882i | −0.501917 | − | 0.869346i | −0.999998 | − | 0.00221489i | \(-0.999295\pi\) |
0.498081 | − | 0.867131i | \(-0.334038\pi\) | |||||||
\(788\) | −11.4636 | + | 4.17242i | −0.408375 | + | 0.148636i | ||||
\(789\) | −3.99108 | + | 1.45263i | −0.142086 | + | 0.0517151i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −15.0876 | + | 26.1326i | −0.536455 | + | 0.929167i | ||||
\(792\) | −1.55303 | + | 8.80769i | −0.0551846 | + | 0.312968i | ||||
\(793\) | 28.1091 | − | 23.5863i | 0.998182 | − | 0.837574i | ||||
\(794\) | −16.2652 | − | 13.6481i | −0.577229 | − | 0.484353i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −12.9089 | − | 4.69847i | −0.457546 | − | 0.166533i | ||||
\(797\) | −5.97596 | −0.211679 | −0.105840 | − | 0.994383i | \(-0.533753\pi\) | ||||
−0.105840 | + | 0.994383i | \(0.533753\pi\) | |||||||
\(798\) | −1.90760 | − | 1.31920i | −0.0675284 | − | 0.0466993i | ||||
\(799\) | −7.35410 | −0.260169 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −3.51114 | − | 19.9127i | −0.124060 | − | 0.703580i | ||||
\(802\) | 25.0535 | + | 21.0224i | 0.884670 | + | 0.742326i | ||||
\(803\) | 7.37211 | − | 6.18594i | 0.260156 | − | 0.218297i | ||||
\(804\) | 0.518418 | − | 2.94010i | 0.0182832 | − | 0.103689i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 15.0856 | + | 26.1290i | 0.531367 | + | 0.920355i | ||||
\(807\) | −3.64765 | + | 1.32764i | −0.128403 | + | 0.0467350i | ||||
\(808\) | 12.8229 | − | 4.66717i | 0.451110 | − | 0.164191i | ||||
\(809\) | −22.2875 | − | 38.6030i | −0.783585 | − | 1.35721i | −0.929841 | − | 0.367963i | \(-0.880055\pi\) |
0.146255 | − | 0.989247i | \(-0.453278\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −7.99588 | + | 45.3469i | −0.280773 | + | 1.59234i | 0.439230 | + | 0.898375i | \(0.355251\pi\) |
−0.720004 | + | 0.693970i | \(0.755860\pi\) | |||||||
\(812\) | −7.64930 | + | 6.41852i | −0.268438 | + | 0.225246i | ||||
\(813\) | 5.20233 | + | 4.36528i | 0.182454 | + | 0.153097i | ||||
\(814\) | 5.09879 | + | 28.9167i | 0.178713 | + | 1.01353i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0.736482 | 0.0257820 | ||||||||
\(817\) | 8.82295 | − | 8.92647i | 0.308676 | − | 0.312298i | ||||
\(818\) | 11.4875 | 0.401651 | ||||||||
\(819\) | −18.9611 | − | 6.90128i | −0.662555 | − | 0.241150i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −25.9957 | − | 21.8130i | −0.907257 | − | 0.761279i | 0.0643383 | − | 0.997928i | \(-0.479506\pi\) |
−0.971595 | + | 0.236649i | \(0.923951\pi\) | |||||||
\(822\) | 0.177519 | − | 0.148956i | 0.00619167 | − | 0.00519543i | ||||
\(823\) | −4.36865 | + | 24.7759i | −0.152282 | + | 0.863632i | 0.808947 | + | 0.587881i | \(0.200038\pi\) |
−0.961229 | + | 0.275751i | \(0.911073\pi\) | |||||||
\(824\) | −3.46064 | + | 5.99400i | −0.120557 | + | 0.208811i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 20.4008 | − | 7.42528i | 0.709834 | − | 0.258359i | ||||
\(827\) | 2.05556 | − | 0.748163i | 0.0714788 | − | 0.0260162i | −0.306033 | − | 0.952021i | \(-0.599002\pi\) |
0.377512 | + | 0.926005i | \(0.376780\pi\) | |||||||
\(828\) | −4.23783 | − | 7.34013i | −0.147275 | − | 0.255087i | ||||
\(829\) | −21.7160 | + | 37.6132i | −0.754228 | + | 1.30636i | 0.191529 | + | 0.981487i | \(0.438655\pi\) |
−0.945757 | + | 0.324874i | \(0.894678\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 6.76058 | − | 5.67280i | 0.234522 | − | 0.196787i | ||||
\(832\) | −3.50387 | − | 2.94010i | −0.121475 | − | 0.101930i | ||||
\(833\) | 1.71332 | + | 9.71670i | 0.0593629 | + | 0.336664i | ||||
\(834\) | −3.40420 | − | 1.23903i | −0.117878 | − | 0.0429040i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 1.10132 | − | 13.4942i | 0.0380899 | − | 0.466705i | ||||
\(837\) | 13.4688 | 0.465551 | ||||||||
\(838\) | 16.0125 | + | 5.82807i | 0.553142 | + | 0.201327i | ||||
\(839\) | 2.54411 | + | 14.4284i | 0.0878325 | + | 0.498123i | 0.996709 | + | 0.0810582i | \(0.0258300\pi\) |
−0.908877 | + | 0.417064i | \(0.863059\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.3250 | − | 8.66371i | 0.356035 | − | 0.298749i | ||||
\(842\) | −2.92989 | + | 16.6162i | −0.100971 | + | 0.572634i | ||||
\(843\) | 3.31639 | − | 5.74416i | 0.114223 | − | 0.197839i | ||||
\(844\) | −7.57919 | − | 13.1275i | −0.260887 | − | 0.451869i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 9.38326 | − | 3.41523i | 0.322603 | − | 0.117418i | ||||
\(847\) | 1.03596 | + | 1.79433i | 0.0355960 | + | 0.0616540i | ||||
\(848\) | −0.0812519 | + | 0.140732i | −0.00279020 | + | 0.00483277i | ||||
\(849\) | −1.09405 | + | 6.20464i | −0.0375475 | + | 0.212943i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −21.3164 | − | 17.8866i | −0.730716 | − | 0.613144i | ||||
\(852\) | −0.580375 | − | 3.29147i | −0.0198833 | − | 0.112764i | ||||
\(853\) | 26.6570 | + | 9.70237i | 0.912720 | + | 0.332203i | 0.755338 | − | 0.655335i | \(-0.227473\pi\) |
0.157381 | + | 0.987538i | \(0.449695\pi\) | |||||||
\(854\) | −12.2909 | −0.420585 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.26352 | −0.0773655 | ||||||||
\(857\) | −19.2344 | − | 7.00076i | −0.657035 | − | 0.239141i | −0.00807948 | − | 0.999967i | \(-0.502572\pi\) |
−0.648956 | + | 0.760826i | \(0.724794\pi\) | |||||||
\(858\) | 0.856792 | + | 4.85911i | 0.0292504 | + | 0.165887i | ||||
\(859\) | −23.4368 | − | 19.6658i | −0.799652 | − | 0.670988i | 0.148462 | − | 0.988918i | \(-0.452568\pi\) |
−0.948114 | + | 0.317931i | \(0.897012\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.411474 | + | 2.33359i | −0.0140230 | + | 0.0795284i | ||||
\(862\) | −10.6407 | + | 18.4302i | −0.362423 | + | 0.627735i | ||||
\(863\) | 29.2015 | + | 50.5784i | 0.994029 | + | 1.72171i | 0.591511 | + | 0.806297i | \(0.298532\pi\) |
0.402518 | + | 0.915412i | \(0.368135\pi\) | |||||||
\(864\) | −1.91875 | + | 0.698367i | −0.0652771 | + | 0.0237589i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −7.77972 | − | 13.4749i | −0.264365 | − | 0.457894i | ||||
\(867\) | −2.17112 | + | 3.76049i | −0.0737352 | + | 0.127713i | ||||
\(868\) | 1.75490 | − | 9.95253i | 0.0595652 | − | 0.337811i | ||||
\(869\) | −2.37939 | + | 1.99654i | −0.0807151 | + | 0.0677280i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.82770 | + | 38.7218i | 0.231348 | + | 1.31204i | ||||
\(872\) | 9.91787 | + | 3.60981i | 0.335861 | + | 0.122244i | ||||
\(873\) | 17.7101 | 0.599395 | ||||||||
\(874\) | 7.42056 | + | 10.4672i | 0.251004 | + | 0.354058i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 1.01114 | + | 0.368026i | 0.0341634 | + | 0.0124345i | ||||
\(877\) | 8.22715 | + | 46.6585i | 0.277811 | + | 1.57554i | 0.729889 | + | 0.683566i | \(0.239572\pi\) |
−0.452077 | + | 0.891979i | \(0.649317\pi\) | |||||||
\(878\) | −6.39440 | − | 5.36554i | −0.215801 | − | 0.181078i | ||||
\(879\) | 7.68913 | − | 6.45195i | 0.259348 | − | 0.217619i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 2.89171 | − | 5.00859i | 0.0974242 | − | 0.168744i | −0.813194 | − | 0.581993i | \(-0.802273\pi\) |
0.910618 | + | 0.413250i | \(0.135606\pi\) | |||||||
\(882\) | −6.69846 | − | 11.6021i | −0.225549 | − | 0.390662i | ||||
\(883\) | 13.7690 | − | 5.01152i | 0.463365 | − | 0.168651i | −0.0997794 | − | 0.995010i | \(-0.531814\pi\) |
0.563144 | + | 0.826359i | \(0.309591\pi\) | |||||||
\(884\) | −9.11468 | + | 3.31747i | −0.306560 | + | 0.111579i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −10.8897 | + | 18.8614i | −0.365845 | + | 0.633662i | ||||
\(887\) | 4.04788 | − | 22.9566i | 0.135914 | − | 0.770809i | −0.838304 | − | 0.545203i | \(-0.816453\pi\) |
0.974219 | − | 0.225606i | \(-0.0724362\pi\) | |||||||
\(888\) | −2.51501 | + | 2.11035i | −0.0843984 | + | 0.0708186i | ||||
\(889\) | 10.8962 | + | 9.14301i | 0.365447 | + | 0.306647i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −23.1428 | − | 8.42329i | −0.775313 | − | 0.282191i | ||||
\(892\) | 0.0591253 | 0.00197966 | ||||||||
\(893\) | −13.6625 | + | 6.46821i | −0.457198 | + | 0.216450i | ||||
\(894\) | 2.53890 | 0.0849134 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0.266044 | + | 1.50881i | 0.00888792 | + | 0.0504059i | ||||
\(897\) | −3.58197 | − | 3.00563i | −0.119598 | − | 0.100355i | ||||
\(898\) | −3.81315 | + | 3.19961i | −0.127246 | + | 0.106772i | ||||
\(899\) | −7.46538 | + | 42.3383i | −0.248985 | + | 1.41206i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.172304 | + | 0.298439i | 0.00574028 | + | 0.00994245i | ||||
\(902\) | −12.9982 | + | 4.73097i | −0.432794 | + | 0.157524i | ||||
\(903\) | 1.43969 | − | 0.524005i | 0.0479100 | − | 0.0174378i | ||||
\(904\) | −9.84776 | − | 17.0568i | −0.327532 | − | 0.567302i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −0.0607742 | + | 0.344668i | −0.00201909 | + | 0.0114508i | ||||
\(907\) | −8.29086 | + | 6.95686i | −0.275293 | + | 0.230999i | −0.769972 | − | 0.638077i | \(-0.779730\pi\) |
0.494679 | + | 0.869076i | \(0.335286\pi\) | |||||||
\(908\) | −22.6327 | − | 18.9911i | −0.751092 | − | 0.630241i | ||||
\(909\) | 6.82295 | + | 38.6949i | 0.226303 | + | 1.28343i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −37.2508 | −1.23418 | −0.617088 | − | 0.786894i | \(-0.711688\pi\) | ||||
−0.617088 | + | 0.786894i | \(0.711688\pi\) | |||||||
\(912\) | 1.36824 | − | 0.647763i | 0.0453070 | − | 0.0214496i | ||||
\(913\) | −16.5639 | −0.548184 | ||||||||
\(914\) | −36.0886 | − | 13.1352i | −1.19370 | − | 0.434473i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −9.69640 | − | 8.13625i | −0.320378 | − | 0.268829i | ||||
\(917\) | 3.30722 | − | 2.77509i | 0.109214 | − | 0.0916414i | ||||
\(918\) | −0.751907 | + | 4.26428i | −0.0248166 | + | 0.140742i | ||||
\(919\) | −22.4115 | + | 38.8178i | −0.739286 | + | 1.28048i | 0.213531 | + | 0.976936i | \(0.431504\pi\) |
−0.952817 | + | 0.303545i | \(0.901830\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −6.80066 | + | 2.47524i | −0.224089 | + | 0.0815619i | ||||
\(922\) | −37.4368 | + | 13.6259i | −1.23291 | + | 0.448744i | ||||
\(923\) | 22.0091 | + | 38.1209i | 0.724438 | + | 1.25476i | ||||
\(924\) | 0.826352 | − | 1.43128i | 0.0271850 | − | 0.0470858i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 21.0103 | − | 17.6297i | 0.690440 | − | 0.579348i | ||||
\(927\) | −15.2665 | − | 12.8101i | −0.501418 | − | 0.420740i | ||||
\(928\) | −1.13176 | − | 6.41852i | −0.0371518 | − | 0.210698i | ||||
\(929\) | −33.5269 | − | 12.2028i | −1.09998 | − | 0.400361i | −0.272673 | − | 0.962107i | \(-0.587908\pi\) |
−0.827310 | + | 0.561746i | \(0.810130\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 11.7292 | + | 16.5448i | 0.384409 | + | 0.542235i | ||||
\(932\) | 5.09421 | 0.166866 | ||||||||
\(933\) | −4.61246 | − | 1.67880i | −0.151005 | − | 0.0549614i | ||||
\(934\) | −0.136507 | − | 0.774169i | −0.00446664 | − | 0.0253316i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 10.0890 | − | 8.46567i | 0.329769 | − | 0.276709i | ||||
\(937\) | 7.16802 | − | 40.6519i | 0.234169 | − | 1.32804i | −0.610187 | − | 0.792257i | \(-0.708906\pi\) |
0.844356 | − | 0.535782i | \(-0.179983\pi\) | |||||||
\(938\) | 6.58512 | − | 11.4058i | 0.215012 | − | 0.372411i | ||||
\(939\) | 2.94743 | + | 5.10510i | 0.0961859 | + | 0.166599i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 14.6836 | − | 5.34440i | 0.478672 | − | 0.174222i | −0.0914047 | − | 0.995814i | \(-0.529136\pi\) |
0.570077 | + | 0.821591i | \(0.306913\pi\) | |||||||
\(942\) | −3.40760 | − | 5.90214i | −0.111026 | − | 0.192302i | ||||
\(943\) | 6.55438 | − | 11.3525i | 0.213440 | − | 0.369689i | ||||
\(944\) | −2.46064 | + | 13.9550i | −0.0800869 | + | 0.454195i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.85117 | + | 5.74881i | 0.222751 | + | 0.186910i | ||||
\(947\) | 9.50656 | + | 53.9144i | 0.308922 | + | 1.75198i | 0.604446 | + | 0.796646i | \(0.293395\pi\) |
−0.295524 | + | 0.955335i | \(0.595494\pi\) | |||||||
\(948\) | −0.326352 | − | 0.118782i | −0.0105994 | − | 0.00385787i | ||||
\(949\) | −14.1717 | −0.460032 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −3.01043 | −0.0976199 | ||||||||
\(952\) | 3.05303 | + | 1.11121i | 0.0989494 | + | 0.0360146i | ||||
\(953\) | −1.01811 | − | 5.77401i | −0.0329799 | − | 0.187039i | 0.963867 | − | 0.266383i | \(-0.0858285\pi\) |
−0.996847 | + | 0.0793442i | \(0.974717\pi\) | |||||||
\(954\) | −0.358441 | − | 0.300767i | −0.0116049 | − | 0.00973771i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −1.36050 | + | 7.71578i | −0.0440017 | + | 0.249546i | ||||
\(957\) | −3.51532 | + | 6.08871i | −0.113634 | + | 0.196820i | ||||
\(958\) | −3.50774 | − | 6.07559i | −0.113330 | − | 0.196293i | ||||
\(959\) | 0.960637 | − | 0.349643i | 0.0310206 | − | 0.0112906i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −6.25537 | − | 10.8346i | −0.201786 | − | 0.349504i | ||||
\(962\) | 21.6197 | − | 37.4465i | 0.697048 | − | 1.20732i | ||||
\(963\) | 1.13176 | − | 6.41852i | 0.0364704 | − | 0.206834i | ||||
\(964\) | −13.5556 | + | 11.3745i | −0.436595 | + | 0.366347i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0.271974 | + | 1.54244i | 0.00875063 | + | 0.0496273i | ||||
\(967\) | 23.9820 | + | 8.72875i | 0.771211 | + | 0.280698i | 0.697503 | − | 0.716582i | \(-0.254295\pi\) |
0.0737080 | + | 0.997280i | \(0.476517\pi\) | |||||||
\(968\) | −1.35235 | −0.0434661 | ||||||||
\(969\) | 0.261135 | − | 3.19961i | 0.00838885 | − | 0.102786i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −21.2900 | − | 7.74892i | −0.683228 | − | 0.248675i | −0.0229951 | − | 0.999736i | \(-0.507320\pi\) |
−0.660233 | + | 0.751061i | \(0.729542\pi\) | |||||||
\(972\) | −1.54189 | − | 8.74449i | −0.0494561 | − | 0.280480i | ||||
\(973\) | −12.2424 | − | 10.2726i | −0.392474 | − | 0.329325i | ||||
\(974\) | −17.5594 | + | 14.7341i | −0.562640 | + | 0.472111i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 4.01114 | − | 6.94751i | 0.128394 | − | 0.222384i | ||||
\(977\) | −16.2765 | − | 28.1917i | −0.520731 | − | 0.901932i | −0.999709 | − | 0.0241053i | \(-0.992326\pi\) |
0.478979 | − | 0.877826i | \(-0.341007\pi\) | |||||||
\(978\) | −6.74985 | + | 2.45674i | −0.215836 | + | 0.0785580i | ||||
\(979\) | −20.4963 | + | 7.46004i | −0.655064 | + | 0.238424i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −15.1951 | + | 26.3186i | −0.485141 | + | 0.840289i | ||||
\(982\) | 2.21167 | − | 12.5430i | 0.0705771 | − | 0.400263i | ||||
\(983\) | 28.7139 | − | 24.0939i | 0.915833 | − | 0.768475i | −0.0573870 | − | 0.998352i | \(-0.518277\pi\) |
0.973220 | + | 0.229877i | \(0.0738325\pi\) | |||||||
\(984\) | −1.18479 | − | 0.994159i | −0.0377698 | − | 0.0316926i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −12.9877 | − | 4.72713i | −0.413612 | − | 0.150542i | ||||
\(987\) | −1.84524 | −0.0587345 | ||||||||
\(988\) | −14.0155 | + | 14.1799i | −0.445892 | + | 0.451124i | ||||
\(989\) | −8.47565 | −0.269510 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.03580 | − | 22.8881i | −0.128201 | − | 0.727066i | −0.979355 | − | 0.202149i | \(-0.935208\pi\) |
0.851153 | − | 0.524917i | \(-0.175904\pi\) | |||||||
\(992\) | 5.05303 | + | 4.24000i | 0.160434 | + | 0.134620i | ||||
\(993\) | 7.73720 | − | 6.49228i | 0.245533 | − | 0.206026i | ||||
\(994\) | 2.56031 | − | 14.5202i | 0.0812080 | − | 0.460554i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −0.926022 | − | 1.60392i | −0.0293421 | − | 0.0508221i | ||||
\(997\) | 33.4530 | − | 12.1759i | 1.05947 | − | 0.385614i | 0.247238 | − | 0.968955i | \(-0.420477\pi\) |
0.812228 | + | 0.583341i | \(0.198255\pi\) | |||||||
\(998\) | −30.0269 | + | 10.9289i | −0.950486 | + | 0.345949i | ||||
\(999\) | −9.65136 | − | 16.7166i | −0.305356 | − | 0.528891i |
(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.l.a.251.1 | ✓ | 6 | |
5.2 | odd | 4 | 950.2.u.a.99.2 | 12 | |||
5.3 | odd | 4 | 950.2.u.a.99.1 | 12 | |||
5.4 | even | 2 | 950.2.l.f.251.1 | yes | 6 | ||
19.5 | even | 9 | inner | 950.2.l.a.651.1 | yes | 6 | |
95.24 | even | 18 | 950.2.l.f.651.1 | yes | 6 | ||
95.43 | odd | 36 | 950.2.u.a.499.2 | 12 | |||
95.62 | odd | 36 | 950.2.u.a.499.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.l.a.251.1 | ✓ | 6 | 1.1 | even | 1 | trivial | |
950.2.l.a.651.1 | yes | 6 | 19.5 | even | 9 | inner | |
950.2.l.f.251.1 | yes | 6 | 5.4 | even | 2 | ||
950.2.l.f.651.1 | yes | 6 | 95.24 | even | 18 | ||
950.2.u.a.99.1 | 12 | 5.3 | odd | 4 | |||
950.2.u.a.99.2 | 12 | 5.2 | odd | 4 | |||
950.2.u.a.499.1 | 12 | 95.62 | odd | 36 | |||
950.2.u.a.499.2 | 12 | 95.43 | odd | 36 |