Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(9,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.s (of order \(22\), degree \(10\), 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: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 449.7 | ||
Character | \(\chi\) | \(=\) | 460.449 |
Dual form | 460.2.s.a.209.7 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{10}{11}\right)\) |
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 | 0 | ||||||||
\(3\) | 0.678118 | + | 0.0974986i | 0.391511 | + | 0.0562909i | 0.335260 | − | 0.942126i | \(-0.391176\pi\) |
0.0562518 | + | 0.998417i | \(0.482085\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.51066 | − | 1.64861i | −0.675586 | − | 0.737281i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.330568 | − | 0.286439i | 0.124943 | − | 0.108264i | −0.590148 | − | 0.807295i | \(-0.700931\pi\) |
0.715091 | + | 0.699031i | \(0.246385\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.42814 | − | 0.712967i | −0.809380 | − | 0.237656i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.82496 | − | 3.10081i | −1.45478 | − | 0.934930i | −0.998994 | − | 0.0448405i | \(-0.985722\pi\) |
−0.455786 | − | 0.890090i | \(-0.650642\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.83954 | − | 1.59397i | −0.510195 | − | 0.442087i | 0.361329 | − | 0.932438i | \(-0.382323\pi\) |
−0.871525 | + | 0.490351i | \(0.836868\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.863665 | − | 1.26524i | −0.222997 | − | 0.326683i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 4.13868 | − | 1.89007i | 1.00378 | − | 0.458410i | 0.155428 | − | 0.987847i | \(-0.450324\pi\) |
0.848349 | + | 0.529438i | \(0.177597\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.683283 | − | 1.49618i | 0.156756 | − | 0.343247i | −0.814917 | − | 0.579578i | \(-0.803217\pi\) |
0.971673 | + | 0.236330i | \(0.0759448\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.252092 | − | 0.162009i | 0.0550109 | − | 0.0353533i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.39222 | + | 4.58931i | 0.290297 | + | 0.956936i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.435836 | + | 4.98097i | −0.0871673 | + | 0.996194i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.44659 | − | 1.57401i | −0.663297 | − | 0.302918i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.82510 | − | 6.18610i | −0.524608 | − | 1.14873i | −0.967665 | − | 0.252237i | \(-0.918834\pi\) |
0.443058 | − | 0.896493i | \(-0.353894\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.516021 | + | 3.58901i | 0.0926802 | + | 0.644605i | 0.982218 | + | 0.187744i | \(0.0601174\pi\) |
−0.889538 | + | 0.456861i | \(0.848974\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.96957 | − | 2.57314i | −0.516935 | − | 0.447927i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.971601 | − | 0.112268i | −0.164231 | − | 0.0189767i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.55002 | − | 8.68456i | 0.419220 | − | 1.42773i | −0.431499 | − | 0.902113i | \(-0.642015\pi\) |
0.850720 | − | 0.525620i | \(-0.176167\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.09201 | − | 1.26025i | −0.174862 | − | 0.201801i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −5.57870 | + | 1.63806i | −0.871247 | + | 0.255821i | −0.686646 | − | 0.726992i | \(-0.740918\pi\) |
−0.184602 | + | 0.982813i | \(0.559099\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.5454 | + | 1.51620i | 1.60815 | + | 0.231218i | 0.887072 | − | 0.461632i | \(-0.152736\pi\) |
0.721083 | + | 0.692849i | \(0.243645\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.49268 | + | 5.08011i | 0.371587 | + | 0.757298i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | − | 12.5068i | − | 1.82431i | −0.409845 | − | 0.912155i | \(-0.634417\pi\) | ||
0.409845 | − | 0.912155i | \(-0.365583\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.968976 | + | 6.73937i | −0.138425 | + | 0.962768i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.99079 | − | 0.878175i | 0.418794 | − | 0.122969i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −3.36925 | + | 2.91947i | −0.462803 | + | 0.401021i | −0.854810 | − | 0.518941i | \(-0.826326\pi\) |
0.392007 | + | 0.919962i | \(0.371781\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.17682 | + | 12.6387i | 0.293522 | + | 1.70421i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.609222 | − | 0.947968i | 0.0806934 | − | 0.125561i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 4.68637 | − | 5.40835i | 0.610113 | − | 0.704108i | −0.363685 | − | 0.931522i | \(-0.618482\pi\) |
0.973798 | + | 0.227414i | \(0.0730271\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.569827 | + | 3.96324i | 0.0729589 | + | 0.507440i | 0.993230 | + | 0.116160i | \(0.0370586\pi\) |
−0.920272 | + | 0.391280i | \(0.872032\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.00689 | + | 0.459830i | −0.126856 | + | 0.0579331i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.151075 | + | 5.44061i | 0.0187385 | + | 0.674825i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.50406 | + | 3.89639i | 0.305919 | + | 0.476020i | 0.959842 | − | 0.280542i | \(-0.0905141\pi\) |
−0.653922 | + | 0.756562i | \(0.726878\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.496637 | + | 3.24783i | 0.0597880 | + | 0.390993i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 10.9929 | − | 7.06473i | 1.30462 | − | 0.838429i | 0.310914 | − | 0.950438i | \(-0.399365\pi\) |
0.993707 | + | 0.112009i | \(0.0357286\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −11.0494 | − | 5.04610i | −1.29324 | − | 0.590602i | −0.354443 | − | 0.935078i | \(-0.615329\pi\) |
−0.938795 | + | 0.344476i | \(0.888057\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.781186 | + | 3.33519i | −0.0902036 | + | 0.385115i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −2.48317 | + | 0.357026i | −0.282984 | + | 0.0406869i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.98573 | − | 4.59978i | 0.448430 | − | 0.517516i | −0.485857 | − | 0.874038i | \(-0.661492\pi\) |
0.934287 | + | 0.356523i | \(0.116038\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4.20302 | + | 2.70112i | 0.467002 | + | 0.300124i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −2.41993 | + | 8.24153i | −0.265622 | + | 0.904626i | 0.713380 | + | 0.700777i | \(0.247163\pi\) |
−0.979002 | + | 0.203849i | \(0.934655\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −9.36811 | − | 3.96782i | −1.01611 | − | 0.430371i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.31261 | − | 4.47035i | −0.140727 | − | 0.479272i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.877218 | + | 6.10119i | −0.0929849 | + | 0.646725i | 0.889020 | + | 0.457869i | \(0.151387\pi\) |
−0.982005 | + | 0.188856i | \(0.939522\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.06467 | −0.111607 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 2.48408i | 0.257587i | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.49883 | + | 1.13375i | −0.358972 | + | 0.116320i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.138860 | − | 0.472913i | −0.0140991 | − | 0.0480170i | 0.952143 | − | 0.305653i | \(-0.0988747\pi\) |
−0.966242 | + | 0.257636i | \(0.917057\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 9.50490 | + | 10.9692i | 0.955279 | + | 1.10245i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −12.6961 | − | 3.72790i | −1.26331 | − | 0.370940i | −0.419582 | − | 0.907717i | \(-0.637823\pi\) |
−0.843724 | + | 0.536777i | \(0.819642\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.0660724 | + | 0.102811i | −0.00651031 | + | 0.0101302i | −0.844493 | − | 0.535566i | \(-0.820098\pi\) |
0.837983 | + | 0.545696i | \(0.183735\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.647914 | − | 0.170860i | −0.0632299 | − | 0.0166743i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 3.19202 | − | 0.458943i | 0.308584 | − | 0.0443677i | 0.0137167 | − | 0.999906i | \(-0.495634\pi\) |
0.294867 | + | 0.955538i | \(0.404725\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.57860 | + | 5.64635i | 0.246985 | + | 0.540822i | 0.992002 | − | 0.126224i | \(-0.0402858\pi\) |
−0.745017 | + | 0.667046i | \(0.767559\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.57594 | − | 5.64053i | 0.244498 | − | 0.535376i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 6.84237 | + | 10.6469i | 0.643676 | + | 1.00158i | 0.997794 | + | 0.0663788i | \(0.0211446\pi\) |
−0.354119 | + | 0.935201i | \(0.615219\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.46282 | − | 9.22809i | 0.509410 | − | 0.860524i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 3.33021 | + | 5.18190i | 0.307878 | + | 0.479067i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.826725 | − | 1.81028i | 0.0757858 | − | 0.165948i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 9.09562 | + | 19.9166i | 0.826875 | + | 1.81060i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −3.94273 | + | 0.566879i | −0.355504 | + | 0.0511137i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 8.87008 | − | 6.80601i | 0.793364 | − | 0.608748i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.83553 | − | 4.41218i | 0.251613 | − | 0.391517i | −0.692354 | − | 0.721558i | \(-0.743426\pi\) |
0.943967 | + | 0.330041i | \(0.107063\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 7.00318 | + | 2.05632i | 0.616595 | + | 0.181049i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.57205 | + | 8.73861i | 0.661573 | + | 0.763496i | 0.983033 | − | 0.183427i | \(-0.0587191\pi\) |
−0.321460 | + | 0.946923i | \(0.604174\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.202693 | − | 0.690309i | −0.0175757 | − | 0.0598573i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.61169 | + | 8.05988i | 0.224779 | + | 0.693684i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | − | 19.2933i | − | 1.64834i | −0.566346 | − | 0.824168i | \(-0.691643\pi\) | ||
0.566346 | − | 0.824168i | \(-0.308357\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.60190 | −0.135871 | −0.0679357 | − | 0.997690i | \(-0.521641\pi\) | ||||
−0.0679357 | + | 0.997690i | \(0.521641\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.21940 | − | 8.48111i | 0.102692 | − | 0.714239i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 3.93309 | + | 13.3949i | 0.328902 | + | 1.12014i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.93072 | + | 14.0026i | −0.492520 | + | 1.16285i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.31416 | + | 4.47562i | −0.108390 | + | 0.369143i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −10.2209 | − | 6.56856i | −0.837326 | − | 0.538117i | 0.0502718 | − | 0.998736i | \(-0.483991\pi\) |
−0.887598 | + | 0.460619i | \(0.847628\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −6.03776 | + | 6.96794i | −0.491346 | + | 0.567043i | −0.946225 | − | 0.323510i | \(-0.895137\pi\) |
0.454879 | + | 0.890553i | \(0.349682\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −11.3969 | + | 1.63862i | −0.921381 | + | 0.132475i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.13735 | − | 6.27248i | 0.412642 | − | 0.503817i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.58299 | + | 1.17961i | 0.206145 | + | 0.0941432i | 0.515812 | − | 0.856702i | \(-0.327490\pi\) |
−0.309667 | + | 0.950845i | \(0.600218\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −2.56940 | + | 1.65125i | −0.203766 | + | 0.130953i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.77478 | + | 1.11829i | 0.139872 | + | 0.0881338i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.45916 | + | 2.27050i | 0.114291 | + | 0.177840i | 0.893686 | − | 0.448692i | \(-0.148110\pi\) |
−0.779396 | + | 0.626532i | \(0.784474\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.243880 | + | 8.78279i | 0.0189860 | + | 0.683739i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 19.9515 | − | 9.11155i | 1.54389 | − | 0.705073i | 0.552203 | − | 0.833710i | \(-0.313787\pi\) |
0.991692 | + | 0.128637i | \(0.0410601\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.00693 | − | 7.00336i | −0.0774562 | − | 0.538720i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.72583 | + | 3.14578i | −0.208450 | + | 0.240564i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 12.2667 | − | 19.0873i | 0.932616 | − | 1.45118i | 0.0406000 | − | 0.999175i | \(-0.487073\pi\) |
0.892016 | − | 0.452004i | \(-0.149291\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.28267 | + | 1.77139i | 0.0969607 | + | 0.133904i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 3.70521 | − | 3.21059i | 0.278501 | − | 0.241322i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −9.22053 | + | 2.70739i | −0.689175 | + | 0.202360i | −0.607525 | − | 0.794301i | \(-0.707837\pi\) |
−0.0816506 | + | 0.996661i | \(0.526019\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.16076 | − | 21.9836i | 0.234937 | − | 1.63402i | −0.441313 | − | 0.897353i | \(-0.645487\pi\) |
0.676251 | − | 0.736672i | \(-0.263604\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.74310i | 0.202776i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −18.1697 | + | 8.91540i | −1.33586 | + | 0.655473i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −25.8297 | − | 3.71375i | −1.88886 | − | 0.271576i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.59019 | + | 0.466922i | −0.115669 | + | 0.0339636i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −12.2948 | − | 14.1890i | −0.889624 | − | 1.02668i | −0.999464 | − | 0.0327317i | \(-0.989579\pi\) |
0.109840 | − | 0.993949i | \(-0.464966\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.15245 | + | 10.7363i | −0.226918 | + | 0.772813i | 0.764787 | + | 0.644283i | \(0.222844\pi\) |
−0.991706 | + | 0.128530i | \(0.958974\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.428006 | + | 3.70411i | −0.0306501 | + | 0.265257i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −16.2472 | − | 14.0783i | −1.15757 | − | 1.00304i | −0.999879 | − | 0.0155486i | \(-0.995051\pi\) |
−0.157688 | − | 0.987489i | \(-0.550404\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.600380 | + | 4.17573i | 0.0425598 | + | 0.296010i | 0.999973 | + | 0.00729010i | \(0.00232053\pi\) |
−0.957414 | + | 0.288720i | \(0.906770\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.31815 | + | 2.88635i | 0.0929754 | + | 0.203588i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −2.70583 | − | 1.23571i | −0.189912 | − | 0.0867299i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 11.1280 | + | 6.72258i | 0.777215 | + | 0.469525i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.108479 | − | 12.1361i | −0.00753983 | − | 0.843516i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −7.93619 | + | 5.10028i | −0.548958 | + | 0.352794i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.67557 | − | 14.6175i | 0.459565 | − | 1.00631i | −0.528021 | − | 0.849231i | \(-0.677066\pi\) |
0.987586 | − | 0.157076i | \(-0.0502069\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 8.14330 | − | 3.71892i | 0.557970 | − | 0.254816i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −13.4308 | − | 19.6757i | −0.915974 | − | 1.34187i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.19861 | + | 1.03860i | 0.0813671 | + | 0.0705050i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −7.00083 | − | 4.49916i | −0.473072 | − | 0.304025i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −10.6260 | − | 3.12006i | −0.714779 | − | 0.209878i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.59678 | − | 3.11662i | 0.240858 | − | 0.208705i | −0.526064 | − | 0.850445i | \(-0.676333\pi\) |
0.766922 | + | 0.641740i | \(0.221787\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.60954 | − | 11.7838i | 0.307302 | − | 0.785584i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 19.8240 | + | 2.85026i | 1.31577 | + | 0.189179i | 0.764215 | − | 0.644962i | \(-0.223127\pi\) |
0.551552 | + | 0.834141i | \(0.314036\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 11.0559 | 0.730592 | 0.365296 | − | 0.930891i | \(-0.380968\pi\) | ||||
0.365296 | + | 0.930891i | \(0.380968\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.71869 | −0.113082 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −21.6414 | − | 3.11156i | −1.41777 | − | 0.203845i | −0.609562 | − | 0.792738i | \(-0.708655\pi\) |
−0.808211 | + | 0.588893i | \(0.799564\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −20.6189 | + | 18.8935i | −1.34503 | + | 1.23248i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 3.15127 | − | 2.73059i | 0.204697 | − | 0.177371i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.26551 | + | 0.371586i | 0.0818587 | + | 0.0240359i | 0.322405 | − | 0.946602i | \(-0.395509\pi\) |
−0.240547 | + | 0.970638i | \(0.577327\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.28196 | − | 2.75185i | −0.275826 | − | 0.177262i | 0.395414 | − | 0.918503i | \(-0.370601\pi\) |
−0.671239 | + | 0.741241i | \(0.734238\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 11.1774 | + | 9.68526i | 0.717030 | + | 0.621310i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 12.5744 | − | 8.58341i | 0.803349 | − | 0.548374i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.64179 | + | 1.66315i | −0.231721 | + | 0.105824i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −2.44454 | + | 5.35279i | −0.154916 | + | 0.339219i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −11.4076 | + | 7.33121i | −0.720041 | + | 0.462742i | −0.848651 | − | 0.528953i | \(-0.822585\pi\) |
0.128610 | + | 0.991695i | \(0.458948\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.51318 | − | 26.4602i | 0.472350 | − | 1.66354i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −5.96583 | − | 3.60403i | −0.373595 | − | 0.225693i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −2.66771 | − | 1.21830i | −0.166407 | − | 0.0759955i | 0.330470 | − | 0.943816i | \(-0.392793\pi\) |
−0.496877 | + | 0.867821i | \(0.665520\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.64464 | − | 3.60126i | −0.102193 | − | 0.223772i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.44925 | + | 17.0349i | 0.151605 | + | 1.05444i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −6.04034 | − | 5.23399i | −0.372464 | − | 0.322742i | 0.448435 | − | 0.893815i | \(-0.351982\pi\) |
−0.820899 | + | 0.571074i | \(0.806527\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.90286 | + | 1.14427i | 0.608328 | + | 0.0702917i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.18971 | + | 4.05180i | −0.0728093 | + | 0.247966i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −12.1896 | − | 14.0675i | −0.743213 | − | 0.857714i | 0.250679 | − | 0.968070i | \(-0.419346\pi\) |
−0.993892 | + | 0.110357i | \(0.964801\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.6722 | + | 3.72090i | −0.769783 | + | 0.226029i | −0.642963 | − | 0.765897i | \(-0.722295\pi\) |
−0.126820 | + | 0.991926i | \(0.540477\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.721969 | − | 0.103803i | −0.0436955 | − | 0.00628247i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 17.5479 | − | 22.6815i | 1.05818 | − | 1.36775i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 17.4002i | 1.04548i | 0.852493 | + | 0.522739i | \(0.175090\pi\) | ||||
−0.852493 | + | 0.522739i | \(0.824910\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.30587 | − | 9.08253i | 0.0781804 | − | 0.543757i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 3.01952 | − | 0.886612i | 0.180130 | − | 0.0528909i | −0.190424 | − | 0.981702i | \(-0.560986\pi\) |
0.370553 | + | 0.928811i | \(0.379168\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 9.32257 | − | 8.07805i | 0.554169 | − | 0.480191i | −0.332175 | − | 0.943218i | \(-0.607782\pi\) |
0.886344 | + | 0.463027i | \(0.153237\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −2.48315 | + | 0.427683i | −0.147089 | + | 0.0253338i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.37494 | + | 2.13945i | −0.0811601 | + | 0.126288i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.42366 | − | 2.79705i | 0.142568 | − | 0.164533i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.0480549 | − | 0.334229i | −0.00281703 | − | 0.0195929i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 8.53083 | − | 3.89590i | 0.498377 | − | 0.227601i | −0.150335 | − | 0.988635i | \(-0.548035\pi\) |
0.648712 | + | 0.761034i | \(0.275308\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −15.9958 | + | 0.444169i | −0.931309 | + | 0.0258605i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 11.7490 | + | 18.2818i | 0.681745 | + | 1.06082i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 4.75417 | − | 10.6613i | 0.274941 | − | 0.616561i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.92026 | − | 2.51940i | 0.225960 | − | 0.145216i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −8.24597 | − | 3.76581i | −0.473718 | − | 0.216340i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 5.67302 | − | 6.92651i | 0.324836 | − | 0.396611i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.233018 | + | 0.0335029i | −0.0132990 | + | 0.00191211i | −0.148961 | − | 0.988843i | \(-0.547593\pi\) |
0.135662 | + | 0.990755i | \(0.456684\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.0548288 | + | 0.0632758i | −0.00311910 | + | 0.00359963i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 14.4571 | + | 9.29102i | 0.819787 | + | 0.526845i | 0.882018 | − | 0.471217i | \(-0.156185\pi\) |
−0.0622304 | + | 0.998062i | \(0.519821\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.67898 | − | 9.12377i | 0.151425 | − | 0.515706i | −0.848484 | − | 0.529222i | \(-0.822484\pi\) |
0.999909 | + | 0.0135154i | \(0.00430222\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.27914 | + | 0.965321i | 0.128415 | + | 0.0543897i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 9.00398 | + | 30.6647i | 0.505714 | + | 1.72230i | 0.675993 | + | 0.736908i | \(0.263715\pi\) |
−0.170279 | + | 0.985396i | \(0.554467\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.55096 | + | 38.6078i | −0.310794 | + | 2.16162i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 2.20931 | 0.123312 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 7.48367i | − | 0.416402i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.74124 | − | 8.46796i | 0.484876 | − | 0.469718i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 1.19808 | + | 4.08030i | 0.0662542 | + | 0.225641i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −3.58245 | − | 4.13436i | −0.197507 | − | 0.227935i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −32.9124 | − | 9.66396i | −1.80903 | − | 0.531179i | −0.810519 | − | 0.585712i | \(-0.800815\pi\) |
−0.998512 | + | 0.0545327i | \(0.982633\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −12.3836 | + | 19.2693i | −0.678617 | + | 1.05595i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 2.64086 | − | 10.0143i | 0.144286 | − | 0.547141i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.23269 | + | 0.608569i | −0.230569 | + | 0.0331508i | −0.256631 | − | 0.966509i | \(-0.582612\pi\) |
0.0260617 | + | 0.999660i | \(0.491703\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 3.60187 | + | 7.88700i | 0.195627 | + | 0.428363i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 8.63906 | − | 18.9169i | 0.467831 | − | 1.02441i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3.26546 | + | 5.08115i | 0.176318 | + | 0.274356i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 4.60416 | − | 5.72511i | 0.247880 | − | 0.308230i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −1.50611 | − | 2.34355i | −0.0808520 | − | 0.125808i | 0.798472 | − | 0.602031i | \(-0.205642\pi\) |
−0.879324 | + | 0.476223i | \(0.842005\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.9869 | − | 26.2477i | 0.641646 | − | 1.40501i | −0.257034 | − | 0.966402i | \(-0.582745\pi\) |
0.898680 | − | 0.438606i | \(-0.144528\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.83122 | + | 8.38920i | 0.204495 | + | 0.447782i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −22.7719 | + | 3.27410i | −1.21202 | + | 0.174263i | −0.718536 | − | 0.695490i | \(-0.755187\pi\) |
−0.493488 | + | 0.869752i | \(0.664278\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −28.2535 | − | 7.45069i | −1.49954 | − | 0.395442i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.737117 | − | 1.14698i | 0.0390123 | − | 0.0607044i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −13.0867 | − | 3.84259i | −0.690687 | − | 0.202804i | −0.0824923 | − | 0.996592i | \(-0.526288\pi\) |
−0.608195 | + | 0.793788i | \(0.708106\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.6707 | + | 12.3146i | 0.561614 | + | 0.648137i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 4.22606 | + | 14.3926i | 0.221811 | + | 0.755417i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 8.37282 | + | 25.8391i | 0.438254 | + | 1.35248i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.2424i | 0.586848i | 0.955982 | + | 0.293424i | \(0.0947948\pi\) | ||||
−0.955982 | + | 0.293424i | \(0.905205\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 14.7138 | 0.765968 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.277517 | + | 1.93017i | −0.0144079 | + | 0.100209i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.789728 | − | 2.68957i | −0.0408905 | − | 0.139260i | 0.936518 | − | 0.350620i | \(-0.114029\pi\) |
−0.977408 | + | 0.211360i | \(0.932211\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 6.67853 | − | 3.75045i | 0.344878 | − | 0.193673i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −4.66357 | + | 15.8827i | −0.240186 | + | 0.817999i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.61895 | − | 3.61108i | −0.288626 | − | 0.185489i | 0.388313 | − | 0.921527i | \(-0.373058\pi\) |
−0.676940 | + | 0.736039i | \(0.736694\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.35301 | − | 2.71551i | 0.120548 | − | 0.139120i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 34.2208 | − | 4.92020i | 1.74860 | − | 0.251411i | 0.807579 | − | 0.589760i | \(-0.200778\pi\) |
0.941021 | + | 0.338349i | \(0.109869\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.33981 | + | 3.55444i | 0.221177 | + | 0.181151i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −24.5247 | − | 11.2000i | −1.24666 | − | 0.569330i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −4.69272 | + | 3.01583i | −0.237930 | + | 0.152908i | −0.654173 | − | 0.756345i | \(-0.726983\pi\) |
0.416243 | + | 0.909254i | \(0.363347\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 14.4361 | + | 16.3623i | 0.730063 | + | 0.827476i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 4.28274 | + | 6.66407i | 0.216036 | + | 0.336158i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −13.6043 | + | 0.377764i | −0.684508 | + | 0.0190074i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.34262 | − | 1.06984i | 0.117573 | − | 0.0536938i | −0.355760 | − | 0.934577i | \(-0.615778\pi\) |
0.473333 | + | 0.880884i | \(0.343051\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.0701455 | − | 0.487873i | −0.00351167 | − | 0.0244242i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −7.21405 | + | 8.32546i | −0.360253 | + | 0.415754i | −0.906724 | − | 0.421724i | \(-0.861425\pi\) |
0.546472 | + | 0.837478i | \(0.315971\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 4.77152 | − | 7.42463i | 0.237686 | − | 0.369847i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.89623 | − | 11.0096i | −0.0942243 | − | 0.547072i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −39.2329 | + | 33.9955i | −1.94470 | + | 1.68510i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 28.6318 | − | 8.40706i | 1.41575 | − | 0.415702i | 0.517689 | − | 0.855569i | \(-0.326792\pi\) |
0.898063 | + | 0.439867i | \(0.144974\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.88107 | − | 13.0831i | 0.0927862 | − | 0.645342i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | − | 3.13019i | − | 0.154026i | ||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 17.2428 | − | 8.46059i | 0.846414 | − | 0.415314i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.08628 | − | 0.156183i | −0.0531952 | − | 0.00764832i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 25.3067 | − | 7.43071i | 1.23631 | − | 0.363014i | 0.402684 | − | 0.915339i | \(-0.368078\pi\) |
0.833629 | + | 0.552325i | \(0.186259\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 14.3375 | + | 16.5463i | 0.698765 | + | 0.806418i | 0.988585 | − | 0.150663i | \(-0.0481408\pi\) |
−0.289820 | + | 0.957081i | \(0.593595\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −8.91696 | + | 30.3684i | −0.433558 | + | 1.47656i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 7.61060 | + | 21.4384i | 0.369168 | + | 1.03991i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.32359 | + | 1.14690i | 0.0640531 | + | 0.0555023i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 1.36112 | + | 9.46678i | 0.0657153 | + | 0.457060i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −0.656166 | − | 1.43680i | −0.0316064 | − | 0.0692084i | 0.893170 | − | 0.449719i | \(-0.148476\pi\) |
−0.924777 | + | 0.380510i | \(0.875748\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.04652 | + | 1.84799i | 0.194464 | + | 0.0888085i | 0.510267 | − | 0.860016i | \(-0.329547\pi\) |
−0.315803 | + | 0.948825i | \(0.602274\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5.38696 | + | 8.91715i | −0.258285 | + | 0.427545i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 7.81771 | + | 1.05278i | 0.373972 | + | 0.0503615i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.85683 | + | 5.04928i | −0.374986 | + | 0.240989i | −0.714535 | − | 0.699599i | \(-0.753362\pi\) |
0.339549 | + | 0.940588i | \(0.389725\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 7.15776 | − | 15.6733i | 0.340846 | − | 0.746348i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −0.0519299 | + | 0.0237156i | −0.00246727 | + | 0.00112676i | −0.416648 | − | 0.909068i | \(-0.636795\pi\) |
0.414181 | + | 0.910195i | \(0.364068\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.3837 | − | 7.77060i | 0.539637 | − | 0.368362i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −6.29053 | − | 5.45077i | −0.297532 | − | 0.257813i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 11.4449 | + | 7.35518i | 0.540117 | + | 0.347112i | 0.782085 | − | 0.623172i | \(-0.214156\pi\) |
−0.241968 | + | 0.970284i | \(0.577793\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 31.9963 | + | 9.39497i | 1.50665 | + | 0.442392i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −4.77367 | + | 4.13641i | −0.224287 | + | 0.194346i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.60834 | + | 1.75522i | 0.0754003 | + | 0.0822860i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 29.4254 | + | 4.23074i | 1.37646 | + | 0.197905i | 0.790515 | − | 0.612443i | \(-0.209813\pi\) |
0.585948 | + | 0.810349i | \(0.300722\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −17.2393 | −0.804663 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 10.1353 | 0.472050 | 0.236025 | − | 0.971747i | \(-0.424155\pi\) | ||||
0.236025 | + | 0.971747i | \(0.424155\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.82149 | + | 0.837003i | 0.270547 | + | 0.0388988i | 0.276253 | − | 0.961085i | \(-0.410907\pi\) |
−0.00570584 | + | 0.999984i | \(0.501816\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 4.09528 | − | 3.75259i | 0.189914 | − | 0.174022i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −1.12283 | + | 0.972938i | −0.0519584 | + | 0.0450222i | −0.680453 | − | 0.732792i | \(-0.738217\pi\) |
0.628495 | + | 0.777814i | \(0.283671\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.94384 | + | 0.570763i | 0.0897582 | + | 0.0263554i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.63656 | + | 1.05175i | 0.0754087 | + | 0.0484622i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −46.1795 | − | 40.0148i | −2.12334 | − | 1.83988i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 7.15463 | + | 4.05550i | 0.328277 | + | 0.186079i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 10.2625 | − | 4.68673i | 0.469888 | − | 0.214591i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −7.39973 | + | 16.2031i | −0.338102 | + | 0.740341i | −0.999957 | − | 0.00929159i | \(-0.997042\pi\) |
0.661855 | + | 0.749632i | \(0.269770\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −18.5338 | + | 11.9109i | −0.845066 | + | 0.543091i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.09448 | + | 0.931373i | 0.0498004 | + | 0.0423789i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.569880 | + | 0.943334i | −0.0258769 | + | 0.0428346i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −25.2360 | − | 11.5249i | −1.14355 | − | 0.522243i | −0.248689 | − | 0.968583i | \(-0.580000\pi\) |
−0.894863 | + | 0.446341i | \(0.852727\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0.768114 | + | 1.68194i | 0.0347353 | + | 0.0760597i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 1.77621 | + | 12.3538i | 0.0801591 | + | 0.557519i | 0.989837 | + | 0.142205i | \(0.0454192\pi\) |
−0.909678 | + | 0.415314i | \(0.863672\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −23.3844 | − | 20.2627i | −1.05318 | − | 0.912584i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 3.72538 | − | 32.2406i | 0.167443 | − | 1.44911i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 1.61030 | − | 5.48418i | 0.0722318 | − | 0.245999i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.88935 | + | 5.64261i | 0.218877 | + | 0.252598i | 0.854560 | − | 0.519353i | \(-0.173827\pi\) |
−0.635683 | + | 0.771950i | \(0.719281\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 14.4178 | − | 4.23346i | 0.644142 | − | 0.189137i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 23.4967 | + | 3.37831i | 1.04766 | + | 0.150631i | 0.644584 | − | 0.764533i | \(-0.277030\pi\) |
0.403080 | + | 0.915165i | \(0.367939\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 13.0335 | + | 26.5625i | 0.579985 | + | 1.18201i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | − | 4.84728i | − | 0.215275i | ||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −0.964959 | + | 6.71144i | −0.0427711 | + | 0.297479i | 0.957197 | + | 0.289439i | \(0.0934686\pi\) |
−0.999968 | + | 0.00804077i | \(0.997441\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.09799 | + | 1.49690i | −0.225522 | + | 0.0662192i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −4.71000 | + | 4.08124i | −0.207951 | + | 0.180191i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0.269307 | − | 0.0463839i | 0.0118671 | − | 0.00204392i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −38.7814 | + | 60.3450i | −1.70560 | + | 2.65397i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 10.1792 | − | 11.7474i | 0.446818 | − | 0.515655i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −3.07635 | − | 21.3965i | −0.134777 | − | 0.937396i | −0.939208 | − | 0.343349i | \(-0.888439\pi\) |
0.804431 | − | 0.594047i | \(-0.202471\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 26.5331 | − | 12.1173i | 1.16021 | − | 0.529852i | 0.260132 | − | 0.965573i | \(-0.416234\pi\) |
0.900082 | + | 0.435722i | \(0.143507\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.697093 | + | 1.32627i | 0.0304236 | + | 0.0578831i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 8.91913 | + | 13.8784i | 0.388523 | + | 0.604554i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −19.1235 | + | 12.7786i | −0.831455 | + | 0.555592i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −15.2351 | + | 9.79103i | −0.661149 | + | 0.424894i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 12.8732 | + | 5.87901i | 0.557602 | + | 0.254648i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.57866 | − | 4.56909i | −0.241186 | − | 0.197539i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −6.51658 | + | 0.936942i | −0.281211 | + | 0.0404320i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 25.5728 | − | 29.5126i | 1.10150 | − | 1.27120i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.43124 | − | 0.919800i | −0.0615337 | − | 0.0395453i | 0.509512 | − | 0.860463i | \(-0.329826\pi\) |
−0.571046 | + | 0.820918i | \(0.693462\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 4.28673 | − | 14.5993i | 0.183961 | − | 0.626515i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 5.41325 | − | 12.7808i | 0.231878 | − | 0.547469i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.31095 | + | 18.0874i | 0.227080 | + | 0.773362i | 0.991665 | + | 0.128840i | \(0.0411254\pi\) |
−0.764586 | + | 0.644522i | \(0.777056\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 1.44203 | − | 10.0296i | 0.0615445 | − | 0.428051i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −11.1859 | −0.476534 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | − | 2.66221i | − | 0.113209i | ||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −13.1904 | + | 4.27417i | −0.559902 | + | 0.181429i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 5.19492 | + | 17.6923i | 0.220116 | + | 0.749646i | 0.993310 | + | 0.115477i | \(0.0368395\pi\) |
−0.773194 | + | 0.634169i | \(0.781342\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −16.9818 | − | 19.5981i | −0.718255 | − | 0.828910i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −17.1535 | − | 5.03672i | −0.724221 | − | 0.212651i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −12.7888 | + | 19.8998i | −0.538984 | + | 0.838676i | −0.998782 | − | 0.0493481i | \(-0.984286\pi\) |
0.459798 | + | 0.888024i | \(0.347922\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 7.21619 | − | 27.3643i | 0.303587 | − | 1.15122i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 2.16309 | − | 0.311005i | 0.0908413 | − | 0.0130610i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 15.3824 | + | 33.6828i | 0.644864 | + | 1.41206i | 0.895978 | + | 0.444098i | \(0.146476\pi\) |
−0.251114 | + | 0.967957i | \(0.580797\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.94438 | + | 10.8267i | −0.206916 | + | 0.453082i | −0.984429 | − | 0.175785i | \(-0.943754\pi\) |
0.777513 | + | 0.628867i | \(0.216481\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −6.95395 | − | 10.8206i | −0.290505 | − | 0.452035i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −23.4660 | + | 4.93441i | −0.978599 | + | 0.205779i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 7.06373 | + | 10.9914i | 0.294067 | + | 0.457577i | 0.956579 | − | 0.291475i | \(-0.0941459\pi\) |
−0.662512 | + | 0.749052i | \(0.730510\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −3.18450 | + | 6.97309i | −0.132343 | + | 0.289792i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.56074 | + | 3.41755i | 0.0647505 | + | 0.141784i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 25.3093 | − | 3.63892i | 1.04820 | − | 0.150709i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 3.51215 | − | 13.3183i | 0.145209 | − | 0.550644i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −4.42761 | + | 6.88949i | −0.182747 | + | 0.284360i | −0.920525 | − | 0.390684i | \(-0.872239\pi\) |
0.737778 | + | 0.675043i | \(0.235875\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.72239 | + | 1.68025i | 0.235787 | + | 0.0692334i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −9.64492 | − | 11.1308i | −0.396739 | − | 0.457861i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −2.06408 | − | 7.02959i | −0.0847614 | − | 0.288671i | 0.906194 | − | 0.422862i | \(-0.138975\pi\) |
−0.990955 | + | 0.134191i | \(0.957156\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.23334 | + | 1.37176i | −0.173550 | + | 0.0562365i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 2.89018i | 0.118287i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 0.300949 | 0.0122964 | 0.00614821 | − | 0.999981i | \(-0.498043\pi\) | ||||
0.00614821 | + | 0.999981i | \(0.498043\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.13219 | − | 42.6503i | 0.250137 | − | 1.73974i | −0.347236 | − | 0.937778i | \(-0.612880\pi\) |
0.597373 | − | 0.801964i | \(-0.296211\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −3.30221 | − | 11.2463i | −0.134476 | − | 0.457985i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 19.0944 | − | 45.0823i | 0.776299 | − | 1.83286i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −9.00701 | + | 30.6751i | −0.365583 | + | 1.24506i | 0.547332 | + | 0.836915i | \(0.315643\pi\) |
−0.912916 | + | 0.408148i | \(0.866175\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −1.71439 | − | 1.10177i | −0.0694706 | − | 0.0446460i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −19.9355 | + | 23.0068i | −0.806504 | + | 0.930755i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.93290 | − | 1.14058i | 0.320407 | − | 0.0460676i | 0.0197650 | − | 0.999805i | \(-0.493708\pi\) |
0.300642 | + | 0.953737i | \(0.402799\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 6.89067 | + | 5.64366i | 0.277858 | + | 0.227575i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 9.48776 | + | 4.33291i | 0.381963 | + | 0.174437i | 0.597137 | − | 0.802139i | \(-0.296305\pi\) |
−0.215175 | + | 0.976576i | \(0.569032\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −14.2094 | + | 9.13183i | −0.571124 | + | 0.367039i | −0.794102 | − | 0.607784i | \(-0.792059\pi\) |
0.222978 | + | 0.974823i | \(0.428422\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.42519 | − | 18.0088i | 0.0973195 | − | 0.722670i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1.45764 | + | 2.26813i | 0.0583990 | + | 0.0908706i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −24.6201 | − | 4.34177i | −0.984804 | − | 0.173671i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −5.87894 | + | 2.68482i | −0.234782 | + | 0.107221i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −5.86074 | − | 40.7623i | −0.233683 | − | 1.62530i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.1529 | − | 11.7171i | 0.404180 | − | 0.466448i | −0.516773 | − | 0.856122i | \(-0.672867\pi\) |
0.920953 | + | 0.389674i | \(0.127412\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 5.95201 | − | 9.26150i | 0.236571 | − | 0.368112i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −11.5575 | + | 1.99059i | −0.458644 | + | 0.0789941i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 12.5248 | − | 10.8528i | 0.496251 | − | 0.430004i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −31.7293 | + | 9.31656i | −1.25519 | + | 0.368558i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −5.88988 | + | 40.9650i | −0.232636 | + | 1.61802i | 0.453988 | + | 0.891008i | \(0.350001\pi\) |
−0.686624 | + | 0.727012i | \(0.740908\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 40.6401i | − | 1.60269i | −0.598204 | − | 0.801344i | \(-0.704119\pi\) | ||
0.598204 | − | 0.801344i | \(-0.295881\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −7.18932 | − | 14.6519i | −0.283079 | − | 0.576918i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 11.5767 | + | 1.66448i | 0.455129 | + | 0.0654376i | 0.366067 | − | 0.930588i | \(-0.380704\pi\) |
0.0890617 | + | 0.996026i | \(0.471613\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −39.3818 | + | 11.5635i | −1.54587 | + | 0.453909i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.711538 | + | 0.821158i | 0.0278874 | + | 0.0321837i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −0.386421 | + | 1.31603i | −0.0151218 | + | 0.0515003i | −0.966708 | − | 0.255881i | \(-0.917634\pi\) |
0.951586 | + | 0.307381i | \(0.0994527\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.96781 | − | 25.6844i | 0.115962 | − | 1.00357i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 23.2319 | + | 20.1305i | 0.906362 | + | 0.785367i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 3.00106 | + | 20.8728i | 0.116905 | + | 0.813089i | 0.960931 | + | 0.276788i | \(0.0892699\pi\) |
−0.844026 | + | 0.536301i | \(0.819821\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −3.86449 | − | 8.46204i | −0.150311 | − | 0.329135i | 0.819466 | − | 0.573128i | \(-0.194270\pi\) |
−0.969777 | + | 0.243992i | \(0.921543\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −6.90145 | − | 3.15179i | −0.268030 | − | 0.122405i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.831851 | + | 1.37698i | −0.0322578 | + | 0.0533970i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 24.4568 | − | 21.5776i | 0.946970 | − | 0.835490i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 2.74290 | − | 1.76276i | 0.106047 | − | 0.0681522i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 9.53986 | − | 20.8894i | 0.368282 | − | 0.806425i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 37.1171 | − | 16.9508i | 1.43076 | − | 0.653407i | 0.458798 | − | 0.888541i | \(-0.348280\pi\) |
0.971963 | + | 0.235134i | \(0.0755530\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 9.34223 | − | 16.4814i | 0.359583 | − | 0.634368i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −18.5402 | − | 16.0652i | −0.712559 | − | 0.617435i | 0.221246 | − | 0.975218i | \(-0.428987\pi\) |
−0.933805 | + | 0.357782i | \(0.883533\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.181363 | − | 0.116555i | −0.00696008 | − | 0.00447297i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 13.1651 | + | 3.86563i | 0.504489 | + | 0.148131i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −31.4548 | + | 27.2557i | −1.20358 | + | 1.04291i | −0.205653 | + | 0.978625i | \(0.565932\pi\) |
−0.997931 | + | 0.0642872i | \(0.979523\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −31.8071 | + | 29.1455i | −1.21529 | + | 1.11359i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 7.49718 | + | 1.07793i | 0.286035 | + | 0.0411257i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 10.8514 | 0.413406 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 10.9577 | 0.416852 | 0.208426 | − | 0.978038i | \(-0.433166\pi\) | ||||
0.208426 | + | 0.978038i | \(0.433166\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 6.28404 | + | 0.903508i | 0.238711 | + | 0.0343214i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 2.41992 | + | 2.64091i | 0.0917928 | + | 0.100175i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −19.9924 | + | 17.3235i | −0.757267 | + | 0.656176i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −14.3720 | − | 4.22001i | −0.543600 | − | 0.159615i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −22.2991 | − | 14.3308i | −0.842226 | − | 0.541266i | 0.0469150 | − | 0.998899i | \(-0.485061\pi\) |
−0.889141 | + | 0.457633i | \(0.848697\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −11.2513 | − | 9.74930i | −0.424350 | − | 0.367702i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −15.8242 | + | 10.8017i | −0.595972 | + | 0.406817i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −5.26473 | + | 2.40432i | −0.198001 | + | 0.0904239i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 10.9935 | − | 24.0724i | 0.412869 | − | 0.904058i | −0.582932 | − | 0.812521i | \(-0.698095\pi\) |
0.995802 | − | 0.0915371i | \(-0.0291780\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −12.9574 | + | 8.32722i | −0.485941 | + | 0.312295i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −15.7526 | + | 7.36486i | −0.589941 | + | 0.275816i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 16.1414 | − | 26.7192i | 0.603654 | − | 0.999241i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0.821933 | + | 0.375364i | 0.0306956 | + | 0.0140182i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 7.87587 | + | 17.2457i | 0.293720 | + | 0.643158i | 0.997752 | − | 0.0670105i | \(-0.0213461\pi\) |
−0.704032 | + | 0.710168i | \(0.748619\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.00760754 | + | 0.0529116i | 0.000283320 | + | 0.00197053i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −2.63537 | − | 2.28356i | −0.0980106 | − | 0.0849267i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 32.0441 | − | 11.3756i | 1.19009 | − | 0.422479i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.31274 | − | 11.2821i | 0.122863 | − | 0.418432i | −0.874974 | − | 0.484169i | \(-0.839122\pi\) |
0.997837 | + | 0.0657377i | \(0.0209401\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −3.18004 | − | 3.66997i | −0.117779 | − | 0.135925i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 46.5096 | − | 13.6565i | 1.72022 | − | 0.505102i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 10.8262 | + | 1.55657i | 0.399873 | + | 0.0574931i | 0.339318 | − | 0.940672i | \(-0.389804\pi\) |
0.0605553 | + | 0.998165i | \(0.480713\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 9.36379 | − | 4.59458i | 0.345389 | − | 0.169474i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | − | 26.5645i | − | 0.978517i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 2.11568 | − | 14.7149i | 0.0778265 | − | 0.541295i | −0.913188 | − | 0.407539i | \(-0.866387\pi\) |
0.991014 | − | 0.133756i | \(-0.0427039\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −2.63171 | + | 0.772741i | −0.0966784 | + | 0.0283874i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1.95527 | + | 1.69425i | −0.0717318 | + | 0.0621560i | −0.689989 | − | 0.723820i | \(-0.742385\pi\) |
0.618257 | + | 0.785976i | \(0.287839\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.61123 | + | 26.7731i | 0.168942 | + | 0.980889i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 11.7519 | − | 18.2863i | 0.429979 | − | 0.669060i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0.923720 | − | 1.06603i | 0.0337520 | − | 0.0389519i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −4.22170 | − | 29.3626i | −0.154052 | − | 1.07146i | −0.909337 | − | 0.416060i | \(-0.863411\pi\) |
0.755285 | − | 0.655396i | \(-0.227498\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −8.45047 | + | 3.85920i | −0.307952 | + | 0.140637i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 20.6084 | − | 0.572253i | 0.750016 | − | 0.0208264i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −10.9067 | − | 16.9711i | −0.396410 | − | 0.616827i | 0.584475 | − | 0.811412i | \(-0.301300\pi\) |
−0.980886 | + | 0.194585i | \(0.937664\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 7.67466 | − | 17.2106i | 0.278572 | − | 0.624706i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −40.3076 | + | 25.9041i | −1.46115 | + | 0.939023i | −0.462523 | + | 0.886607i | \(0.653056\pi\) |
−0.998625 | + | 0.0524161i | \(0.983308\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.46974 | + | 1.12789i | 0.0894105 | + | 0.0408324i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 19.9182 | + | 16.3136i | 0.720143 | + | 0.589819i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −17.2415 | + | 2.47895i | −0.622554 | + | 0.0895097i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −16.3907 | + | 18.9159i | −0.591064 | + | 0.682124i | −0.969946 | − | 0.243321i | \(-0.921763\pi\) |
0.378882 | + | 0.925445i | \(0.376309\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.69024 | − | 1.08625i | −0.0608724 | − | 0.0391203i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −2.09630 | + | 7.13933i | −0.0753986 | + | 0.256784i | −0.988563 | − | 0.150807i | \(-0.951813\pi\) |
0.913165 | + | 0.407591i | \(0.133631\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −18.1016 | + | 1.00607i | −0.650230 | + | 0.0361390i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.764143 | − | 2.60243i | −0.0274135 | − | 0.0933617i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −1.36101 | + | 9.46601i | −0.0487631 | + | 0.339155i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −74.9468 | −2.68181 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 25.7677i | 0.920863i | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −1.95729 | − | 6.04033i | −0.0698586 | − | 0.215589i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.48569 | + | 8.46548i | 0.0886052 | + | 0.301762i | 0.991858 | − | 0.127347i | \(-0.0406460\pi\) |
−0.903253 | + | 0.429108i | \(0.858828\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −3.58576 | − | 4.13819i | −0.127656 | − | 0.147323i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 5.31157 | + | 1.55962i | 0.188858 | + | 0.0554536i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 5.26905 | − | 8.19880i | 0.187109 | − | 0.291148i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 6.60374 | + | 1.74146i | 0.234211 | + | 0.0617633i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −37.2357 | + | 5.35368i | −1.31896 | + | 0.189637i | −0.765605 | − | 0.643311i | \(-0.777560\pi\) |
−0.553351 | + | 0.832948i | \(0.686651\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −23.6388 | − | 51.7618i | −0.836282 | − | 1.83120i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 6.47995 | − | 14.1891i | 0.228958 | − | 0.501348i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 37.6660 | + | 58.6095i | 1.32920 | + | 2.06828i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.837450 | − | 4.61528i | −0.0295162 | − | 0.162667i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −6.89442 | − | 10.7279i | −0.242695 | − | 0.377641i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −10.6896 | + | 23.4071i | −0.375828 | + | 0.822948i | 0.623332 | + | 0.781958i | \(0.285779\pi\) |
−0.999160 | + | 0.0409906i | \(0.986949\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −8.23740 | − | 18.0374i | −0.289254 | − | 0.633378i | 0.708097 | − | 0.706115i | \(-0.249554\pi\) |
−0.997351 | + | 0.0727369i | \(0.976827\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −8.95604 | + | 1.28768i | −0.314102 | + | 0.0451611i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.53888 | − | 5.83554i | 0.0539047 | − | 0.204410i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 9.47398 | − | 14.7418i | 0.331452 | − | 0.515750i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 2.58516 | + | 0.759071i | 0.0903328 | + | 0.0265241i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 8.88934 | + | 10.2588i | 0.310240 | + | 0.358036i | 0.889361 | − | 0.457205i | \(-0.151150\pi\) |
−0.579121 | + | 0.815242i | \(0.696604\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −9.37724 | − | 31.9360i | −0.326870 | − | 1.11322i | −0.944981 | − | 0.327126i | \(-0.893920\pi\) |
0.618110 | − | 0.786091i | \(-0.287898\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 14.1110 | − | 13.6698i | 0.491282 | − | 0.475923i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 53.7978i | − | 1.87073i | −0.353680 | − | 0.935366i | \(-0.615070\pi\) | ||
0.353680 | − | 0.935366i | \(-0.384930\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −14.6707 | −0.509535 | −0.254767 | − | 0.967002i | \(-0.581999\pi\) | ||||
−0.254767 | + | 0.967002i | \(0.581999\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.69650 | + | 11.7994i | −0.0588509 | + | 0.409317i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 8.72762 | + | 29.7235i | 0.302394 | + | 1.02986i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −45.1613 | − | 19.1279i | −1.56287 | − | 0.661947i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 3.87061 | − | 13.1821i | 0.133788 | − | 0.455639i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 41.6615 | + | 26.7742i | 1.43832 | + | 0.924349i | 0.999670 | + | 0.0256891i | \(0.00817801\pi\) |
0.438646 | + | 0.898660i | \(0.355458\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11.2957 | + | 13.0360i | −0.389508 | + | 0.449516i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 2.13404 | − | 0.306828i | 0.0735001 | − | 0.0105677i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −10.0247 | + | 12.2397i | −0.344860 | + | 0.421059i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 8.71162 | + | 3.97846i | 0.299335 | + | 0.136702i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 7.10940 | − | 4.56893i | 0.243994 | − | 0.156805i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 43.4063 | − | 0.387990i | 1.48795 | − | 0.0133001i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −8.48814 | − | 13.2078i | −0.290628 | − | 0.452226i | 0.664982 | − | 0.746859i | \(-0.268439\pi\) |
−0.955611 | + | 0.294633i | \(0.904803\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 9.30397 | − | 0.258352i | 0.318189 | − | 0.00883545i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 22.5499 | − | 10.2982i | 0.770289 | − | 0.351779i | 0.00880362 | − | 0.999961i | \(-0.497198\pi\) |
0.761485 | + | 0.648182i | \(0.224470\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 5.40729 | + | 37.6085i | 0.184494 | + | 1.28319i | 0.845975 | + | 0.533223i | \(0.179019\pi\) |
−0.661481 | + | 0.749962i | \(0.730072\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −1.14096 | + | 1.31674i | −0.0388839 | + | 0.0448745i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −7.40760 | + | 11.5265i | −0.252158 | + | 0.392365i | −0.944137 | − | 0.329552i | \(-0.893102\pi\) |
0.691980 | + | 0.721917i | \(0.256739\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −49.9982 | + | 8.61138i | −1.69999 | + | 0.292796i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 1.91624 | − | 1.66043i | 0.0650788 | − | 0.0563911i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −33.4940 | + | 9.83474i | −1.13621 | + | 0.333621i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.60441 | − | 11.1589i | 0.0543635 | − | 0.378106i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 1.24730i | 0.0422147i | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0.982660 | − | 4.79058i | 0.0332200 | − | 0.161951i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −57.5959 | − | 8.28104i | −1.94488 | − | 0.279631i | −0.945883 | − | 0.324509i | \(-0.894801\pi\) |
−0.998992 | + | 0.0448781i | \(0.985710\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 6.16475 | − | 1.81013i | 0.207932 | − | 0.0610543i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 33.4690 | + | 38.6252i | 1.12760 | + | 1.30132i | 0.948248 | + | 0.317532i | \(0.102854\pi\) |
0.179350 | + | 0.983785i | \(0.442601\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −8.88973 | + | 30.2757i | −0.299163 | + | 1.01886i | 0.663505 | + | 0.748172i | \(0.269068\pi\) |
−0.962668 | + | 0.270685i | \(0.912750\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −10.8903 | − | 1.25837i | −0.366074 | − | 0.0422995i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 19.8056 | + | 17.1616i | 0.665006 | + | 0.576231i | 0.920578 | − | 0.390559i | \(-0.127718\pi\) |
−0.255572 | + | 0.966790i | \(0.582264\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.326482 | − | 2.27073i | −0.0109499 | − | 0.0761579i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −11.9037 | − | 26.0656i | −0.398790 | − | 0.873229i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −18.7125 | − | 8.54571i | −0.626190 | − | 0.285971i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 18.3925 | + | 11.1111i | 0.614793 | + | 0.371404i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 4.26335 | − | 6.76612i | 0.142349 | − | 0.225914i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 20.7442 | − | 13.3315i | 0.691857 | − | 0.444629i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −8.42624 | + | 18.4509i | −0.280719 | + | 0.614689i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 2.90404 | − | 1.32623i | 0.0966403 | − | 0.0441341i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −41.0171 | + | 27.9987i | −1.36346 | + | 0.930709i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 11.4494 | + | 9.92099i | 0.380172 | + | 0.329421i | 0.823894 | − | 0.566743i | \(-0.191797\pi\) |
−0.443722 | + | 0.896164i | \(0.646342\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 28.1700 | + | 18.1038i | 0.934340 | + | 0.600464i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 51.7980 | + | 15.2093i | 1.71615 | + | 0.503906i | 0.984140 | − | 0.177393i | \(-0.0567664\pi\) |
0.732005 | + | 0.681299i | \(0.238585\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 37.2315 | − | 32.2613i | 1.23218 | − | 1.06769i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 4.52230 | − | 4.14388i | 0.149503 | − | 0.136992i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 5.00616 | + | 0.719777i | 0.165318 | + | 0.0237691i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 51.9324 | 1.71309 | 0.856546 | − | 0.516070i | \(-0.172606\pi\) | ||||
0.856546 | + | 0.516070i | \(0.172606\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −0.161280 | −0.00531436 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −31.4828 | − | 4.52655i | −1.03627 | − | 0.148993i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 42.1461 | + | 16.4866i | 1.38576 | + | 0.542076i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0.233734 | − | 0.202531i | 0.00767682 | − | 0.00665200i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 3.89966 | + | 1.14504i | 0.127944 | + | 0.0375676i | 0.345078 | − | 0.938574i | \(-0.387853\pi\) |
−0.217134 | + | 0.976142i | \(0.569671\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 9.42124 | + | 6.05466i | 0.308769 | + | 0.198434i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 8.89776 | + | 7.70995i | 0.291299 | + | 0.252412i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 32.8973 | + | 48.1933i | 1.07586 | + | 1.57609i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 46.0707 | − | 21.0398i | 1.50506 | − | 0.687339i | 0.519163 | − | 0.854675i | \(-0.326244\pi\) |
0.985900 | + | 0.167335i | \(0.0535163\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 2.70622 | − | 5.92580i | 0.0883142 | − | 0.193381i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 27.7688 | − | 17.8460i | 0.905238 | − | 0.581761i | −0.00310103 | − | 0.999995i | \(-0.500987\pi\) |
0.908339 | + | 0.418234i | \(0.137351\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −15.2843 | − | 23.3219i | −0.497726 | − | 0.759464i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 3.17201 | + | 1.91625i | 0.103185 | + | 0.0623355i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 4.39242 | + | 2.00595i | 0.142734 | + | 0.0651847i | 0.485502 | − | 0.874236i | \(-0.338637\pi\) |
−0.342767 | + | 0.939420i | \(0.611364\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 12.2825 | + | 26.8949i | 0.398707 | + | 0.873046i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 3.11599 | + | 21.6722i | 0.101043 | + | 0.702769i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 40.4334 | + | 35.0357i | 1.30977 | + | 1.13492i | 0.981735 | + | 0.190252i | \(0.0609305\pi\) |
0.328031 | + | 0.944667i | \(0.393615\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −4.81887 | + | 41.7041i | −0.155935 | + | 1.34951i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −7.52841 | + | 25.6394i | −0.243359 | + | 0.828805i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −5.52634 | − | 6.37774i | −0.178455 | − | 0.205948i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 17.1296 | − | 5.02970i | 0.552567 | − | 0.162248i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −8.07788 | − | 1.16142i | −0.260306 | − | 0.0374263i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 22.4622 | − | 11.0216i | 0.723083 | − | 0.354799i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 48.9778i | 1.57502i | 0.616302 | + | 0.787510i | \(0.288630\pi\) | ||||
−0.616302 | + | 0.787510i | \(0.711370\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.729647 | − | 5.07481i | 0.0234396 | − | 0.163026i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −38.9055 | + | 11.4237i | −1.24854 | + | 0.366603i | −0.838216 | − | 0.545339i | \(-0.816401\pi\) |
−0.410320 | + | 0.911942i | \(0.634583\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.529537 | + | 0.458847i | −0.0169762 | + | 0.0147099i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 6.75320 | − | 4.89002i | 0.216276 | − | 0.156606i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 11.0498 | − | 17.1938i | 0.353514 | − | 0.550078i | −0.618266 | − | 0.785969i | \(-0.712164\pi\) |
0.971780 | + | 0.235891i | \(0.0758008\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 23.1512 | − | 26.7179i | 0.739915 | − | 0.853907i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −2.23555 | − | 15.5486i | −0.0713756 | − | 0.496428i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −11.3260 | + | 5.17239i | −0.361242 | + | 0.164974i | −0.587764 | − | 0.809032i | \(-0.699992\pi\) |
0.226522 | + | 0.974006i | \(0.427264\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.33433 | + | 48.0528i | 0.0425152 | + | 1.53109i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −2.02623 | − | 3.15287i | −0.0644955 | − | 0.100357i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 7.72317 | + | 50.5068i | 0.245582 | + | 1.60602i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −23.5408 | + | 15.1288i | −0.747799 | + | 0.480581i | −0.858206 | − | 0.513305i | \(-0.828421\pi\) |
0.110407 | + | 0.993886i | \(0.464784\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −21.3763 | − | 9.76222i | −0.678356 | − | 0.309795i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 5.97719 | − | 7.29789i | 0.189490 | − | 0.231359i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −3.76863 | + | 0.541848i | −0.119354 | + | 0.0171605i | −0.201733 | − | 0.979441i | \(-0.564657\pi\) |
0.0823790 | + | 0.996601i | \(0.473748\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −22.4584 | + | 25.9184i | −0.710553 | + | 0.820022i |
(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 | 460.2.s.a.449.7 | yes | 120 | |
5.4 | even | 2 | inner | 460.2.s.a.449.6 | yes | 120 | |
23.2 | even | 11 | inner | 460.2.s.a.209.6 | ✓ | 120 | |
115.94 | even | 22 | inner | 460.2.s.a.209.7 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.s.a.209.6 | ✓ | 120 | 23.2 | even | 11 | inner | |
460.2.s.a.209.7 | yes | 120 | 115.94 | even | 22 | inner | |
460.2.s.a.449.6 | yes | 120 | 5.4 | even | 2 | inner | |
460.2.s.a.449.7 | yes | 120 | 1.1 | even | 1 | trivial |