Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(143,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([27, 34]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bb (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 243.1 | ||
Character | \(\chi\) | \(=\) | 950.243 |
Dual form | 950.2.bb.c.907.1 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{11}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.422618 | − | 0.906308i | −0.298836 | − | 0.640856i | ||||
\(3\) | −2.29045 | − | 1.60379i | −1.32239 | − | 0.925948i | −0.322602 | − | 0.946535i | \(-0.604558\pi\) |
−0.999788 | + | 0.0205868i | \(0.993447\pi\) | |||||||
\(4\) | −0.642788 | + | 0.766044i | −0.321394 | + | 0.383022i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.485541 | + | 2.75364i | −0.198221 | + | 1.12417i | ||||
\(7\) | 0.367125 | + | 1.37013i | 0.138760 | + | 0.517860i | 0.999954 | + | 0.00958364i | \(0.00305061\pi\) |
−0.861194 | + | 0.508277i | \(0.830283\pi\) | |||||||
\(8\) | 0.965926 | + | 0.258819i | 0.341506 | + | 0.0915064i | ||||
\(9\) | 1.64795 | + | 4.52771i | 0.549317 | + | 1.50924i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.719098 | + | 1.24551i | 0.216816 | + | 0.375537i | 0.953833 | − | 0.300338i | \(-0.0970994\pi\) |
−0.737017 | + | 0.675875i | \(0.763766\pi\) | |||||||
\(12\) | 2.70084 | − | 0.723689i | 0.779667 | − | 0.208911i | ||||
\(13\) | −1.46380 | − | 2.09053i | −0.405986 | − | 0.579808i | 0.563144 | − | 0.826359i | \(-0.309592\pi\) |
−0.969130 | + | 0.246551i | \(0.920703\pi\) | |||||||
\(14\) | 1.08661 | − | 0.911770i | 0.290408 | − | 0.243681i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.173648 | − | 0.984808i | −0.0434120 | − | 0.246202i | ||||
\(17\) | 3.48519 | − | 1.62517i | 0.845284 | − | 0.394162i | 0.0487900 | − | 0.998809i | \(-0.484463\pi\) |
0.796494 | + | 0.604647i | \(0.206686\pi\) | |||||||
\(18\) | 3.40704 | − | 3.40704i | 0.803048 | − | 0.803048i | ||||
\(19\) | 4.17584 | + | 1.24995i | 0.958003 | + | 0.286759i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.35652 | − | 3.72700i | 0.296016 | − | 0.813298i | ||||
\(22\) | 0.824916 | − | 1.17810i | 0.175873 | − | 0.251172i | ||||
\(23\) | −0.675469 | − | 7.72065i | −0.140845 | − | 1.60987i | −0.657352 | − | 0.753583i | \(-0.728324\pi\) |
0.516507 | − | 0.856283i | \(-0.327232\pi\) | |||||||
\(24\) | −1.79731 | − | 2.14195i | −0.366875 | − | 0.437224i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −1.27603 | + | 2.21015i | −0.250250 | + | 0.433446i | ||||
\(27\) | 1.31587 | − | 4.91091i | 0.253240 | − | 0.945105i | ||||
\(28\) | −1.28556 | − | 0.599468i | −0.242949 | − | 0.113289i | ||||
\(29\) | −0.918876 | + | 0.334444i | −0.170631 | + | 0.0621046i | −0.425923 | − | 0.904759i | \(-0.640051\pi\) |
0.255292 | + | 0.966864i | \(0.417828\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.43317 | − | 4.29154i | −1.33504 | − | 0.770784i | −0.348970 | − | 0.937134i | \(-0.613468\pi\) |
−0.986067 | + | 0.166350i | \(0.946802\pi\) | |||||||
\(32\) | −0.819152 | + | 0.573576i | −0.144807 | + | 0.101395i | ||||
\(33\) | 0.350486 | − | 4.00607i | 0.0610117 | − | 0.697367i | ||||
\(34\) | −2.94581 | − | 2.47183i | −0.505203 | − | 0.423916i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −4.52771 | − | 1.64795i | −0.754618 | − | 0.274659i | ||||
\(37\) | 0.840646 | + | 0.840646i | 0.138201 | + | 0.138201i | 0.772823 | − | 0.634622i | \(-0.218844\pi\) |
−0.634622 | + | 0.772823i | \(0.718844\pi\) | |||||||
\(38\) | −0.631942 | − | 4.31285i | −0.102515 | − | 0.699636i | ||||
\(39\) | 7.13587i | 1.14265i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 8.35769 | − | 1.47369i | 1.30525 | − | 0.230151i | 0.522582 | − | 0.852589i | \(-0.324969\pi\) |
0.782669 | + | 0.622438i | \(0.213858\pi\) | |||||||
\(42\) | −3.95110 | + | 0.345676i | −0.609668 | + | 0.0533390i | ||||
\(43\) | 2.19709 | + | 0.192221i | 0.335053 | + | 0.0293134i | 0.253441 | − | 0.967351i | \(-0.418438\pi\) |
0.0816121 | + | 0.996664i | \(0.473993\pi\) | |||||||
\(44\) | −1.41635 | − | 0.249740i | −0.213522 | − | 0.0376498i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.71182 | + | 3.87507i | −0.989604 | + | 0.571348i | ||||
\(47\) | −2.99064 | + | 6.41344i | −0.436229 | + | 0.935496i | 0.558162 | + | 0.829732i | \(0.311507\pi\) |
−0.994391 | + | 0.105764i | \(0.966271\pi\) | |||||||
\(48\) | −1.18169 | + | 2.53415i | −0.170562 | + | 0.365772i | ||||
\(49\) | 4.31970 | − | 2.49398i | 0.617100 | − | 0.356283i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −10.5891 | − | 1.86714i | −1.48277 | − | 0.261452i | ||||
\(52\) | 2.54235 | + | 0.222427i | 0.352560 | + | 0.0308450i | ||||
\(53\) | −0.808116 | + | 0.0707010i | −0.111003 | + | 0.00971153i | −0.142522 | − | 0.989792i | \(-0.545521\pi\) |
0.0315187 | + | 0.999503i | \(0.489966\pi\) | |||||||
\(54\) | −5.00691 | + | 0.882853i | −0.681354 | + | 0.120141i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 1.41846i | 0.189550i | ||||||||
\(57\) | −7.55987 | − | 9.56011i | −1.00133 | − | 1.26627i | ||||
\(58\) | 0.691443 | + | 0.691443i | 0.0907909 | + | 0.0907909i | ||||
\(59\) | 1.23058 | + | 0.447894i | 0.160208 | + | 0.0583108i | 0.420879 | − | 0.907117i | \(-0.361722\pi\) |
−0.260671 | + | 0.965428i | \(0.583944\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.38905 | − | 2.84375i | −0.433924 | − | 0.364105i | 0.399506 | − | 0.916731i | \(-0.369182\pi\) |
−0.833430 | + | 0.552625i | \(0.813626\pi\) | |||||||
\(62\) | −0.748065 | + | 8.55042i | −0.0950044 | + | 1.08590i | ||||
\(63\) | −5.59854 | + | 3.92014i | −0.705350 | + | 0.493892i | ||||
\(64\) | 0.866025 | + | 0.500000i | 0.108253 | + | 0.0625000i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −3.77885 | + | 1.37539i | −0.465145 | + | 0.169299i | ||||
\(67\) | −8.25409 | − | 3.84895i | −1.00840 | − | 0.470224i | −0.153017 | − | 0.988224i | \(-0.548899\pi\) |
−0.855381 | + | 0.518000i | \(0.826677\pi\) | |||||||
\(68\) | −0.995285 | + | 3.71445i | −0.120696 | + | 0.450444i | ||||
\(69\) | −10.8352 | + | 18.7670i | −1.30440 | + | 2.25929i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −8.60665 | − | 10.2570i | −1.02142 | − | 1.21728i | −0.975877 | − | 0.218321i | \(-0.929942\pi\) |
−0.0455447 | − | 0.998962i | \(-0.514502\pi\) | |||||||
\(72\) | 0.419941 | + | 4.79995i | 0.0494906 | + | 0.565680i | ||||
\(73\) | −4.46245 | + | 6.37304i | −0.522290 | + | 0.745908i | −0.990470 | − | 0.137725i | \(-0.956021\pi\) |
0.468180 | + | 0.883633i | \(0.344910\pi\) | |||||||
\(74\) | 0.406612 | − | 1.11716i | 0.0472677 | − | 0.129867i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.64170 | + | 2.39542i | −0.417731 | + | 0.274774i | ||||
\(77\) | −1.44252 | + | 1.44252i | −0.164390 | + | 0.164390i | ||||
\(78\) | 6.46729 | − | 3.01575i | 0.732277 | − | 0.341466i | ||||
\(79\) | −2.34225 | − | 13.2836i | −0.263524 | − | 1.49452i | −0.773205 | − | 0.634156i | \(-0.781348\pi\) |
0.509681 | − | 0.860364i | \(-0.329764\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.183060 | − | 0.153606i | 0.0203400 | − | 0.0170673i | ||||
\(82\) | −4.86772 | − | 6.95183i | −0.537550 | − | 0.767701i | ||||
\(83\) | −8.78341 | + | 2.35351i | −0.964105 | + | 0.258331i | −0.706337 | − | 0.707876i | \(-0.749654\pi\) |
−0.257768 | + | 0.966207i | \(0.582987\pi\) | |||||||
\(84\) | 1.98310 | + | 3.43482i | 0.216374 | + | 0.374770i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.754320 | − | 2.07248i | −0.0813404 | − | 0.223481i | ||||
\(87\) | 2.64101 | + | 0.707658i | 0.283146 | + | 0.0758689i | ||||
\(88\) | 0.372233 | + | 1.38919i | 0.0396801 | + | 0.148088i | ||||
\(89\) | 2.92772 | − | 16.6039i | 0.310338 | − | 1.76001i | −0.286911 | − | 0.957957i | \(-0.592629\pi\) |
0.597249 | − | 0.802056i | \(-0.296260\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.32689 | − | 2.77308i | 0.243925 | − | 0.290698i | ||||
\(92\) | 6.34854 | + | 4.44530i | 0.661881 | + | 0.463454i | ||||
\(93\) | 10.1426 | + | 21.7508i | 1.05173 | + | 2.25545i | ||||
\(94\) | 7.07645 | 0.729880 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 2.79612 | 0.285378 | ||||||||
\(97\) | 1.77033 | + | 3.79649i | 0.179750 | + | 0.385476i | 0.975452 | − | 0.220213i | \(-0.0706754\pi\) |
−0.795701 | + | 0.605689i | \(0.792898\pi\) | |||||||
\(98\) | −4.08590 | − | 2.86098i | −0.412738 | − | 0.289002i | ||||
\(99\) | −4.45429 | + | 5.30842i | −0.447673 | + | 0.533516i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.63400 | + | 14.9382i | −0.262093 | + | 1.48640i | 0.515094 | + | 0.857133i | \(0.327757\pi\) |
−0.777187 | + | 0.629269i | \(0.783354\pi\) | |||||||
\(102\) | 2.78294 | + | 10.3861i | 0.275552 | + | 1.02837i | ||||
\(103\) | −16.6986 | − | 4.47439i | −1.64537 | − | 0.440875i | −0.687056 | − | 0.726604i | \(-0.741097\pi\) |
−0.958310 | + | 0.285730i | \(0.907764\pi\) | |||||||
\(104\) | −0.872856 | − | 2.39815i | −0.0855906 | − | 0.235158i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.405602 | + | 0.702523i | 0.0393955 | + | 0.0682350i | ||||
\(107\) | 6.52358 | − | 1.74799i | 0.630658 | − | 0.168984i | 0.0706898 | − | 0.997498i | \(-0.477480\pi\) |
0.559968 | + | 0.828514i | \(0.310813\pi\) | |||||||
\(108\) | 2.91615 | + | 4.16469i | 0.280607 | + | 0.400748i | ||||
\(109\) | 6.62086 | − | 5.55556i | 0.634163 | − | 0.532126i | −0.268056 | − | 0.963403i | \(-0.586381\pi\) |
0.902220 | + | 0.431277i | \(0.141937\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.577237 | − | 3.27368i | −0.0547889 | − | 0.310723i | ||||
\(112\) | 1.28556 | − | 0.599468i | 0.121474 | − | 0.0566444i | ||||
\(113\) | 12.4331 | − | 12.4331i | 1.16961 | − | 1.16961i | 0.187305 | − | 0.982302i | \(-0.440025\pi\) |
0.982302 | − | 0.187305i | \(-0.0599751\pi\) | |||||||
\(114\) | −5.46946 | + | 10.8919i | −0.512262 | + | 1.02012i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0.334444 | − | 0.918876i | 0.0310523 | − | 0.0853155i | ||||
\(117\) | 7.05302 | − | 10.0728i | 0.652052 | − | 0.931227i | ||||
\(118\) | −0.114135 | − | 1.30457i | −0.0105070 | − | 0.120096i | ||||
\(119\) | 3.50620 | + | 4.17853i | 0.321413 | + | 0.383045i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.46580 | − | 7.73498i | 0.405981 | − | 0.703180i | ||||
\(122\) | −1.14504 | + | 4.27335i | −0.103667 | + | 0.386891i | ||||
\(123\) | −21.5063 | − | 10.0286i | −1.93916 | − | 0.904245i | ||||
\(124\) | 8.06546 | − | 2.93559i | 0.724300 | − | 0.263624i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 5.91890 | + | 3.41728i | 0.527298 | + | 0.304436i | ||||
\(127\) | 7.99104 | − | 5.59538i | 0.709090 | − | 0.496510i | −0.162523 | − | 0.986705i | \(-0.551963\pi\) |
0.871613 | + | 0.490195i | \(0.163074\pi\) | |||||||
\(128\) | 0.0871557 | − | 0.996195i | 0.00770355 | − | 0.0880520i | ||||
\(129\) | −4.72404 | − | 3.96394i | −0.415929 | − | 0.349006i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 14.1774 | + | 5.16015i | 1.23869 | + | 0.450844i | 0.876563 | − | 0.481286i | \(-0.159830\pi\) |
0.362122 | + | 0.932131i | \(0.382052\pi\) | |||||||
\(132\) | 2.84354 | + | 2.84354i | 0.247498 | + | 0.247498i | ||||
\(133\) | −0.179544 | + | 6.18033i | −0.0155684 | + | 0.535902i | ||||
\(134\) | 9.10738i | 0.786758i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.78706 | − | 0.667762i | 0.324738 | − | 0.0572601i | ||||
\(137\) | 0.0276665 | − | 0.00242051i | 0.00236371 | − | 0.000206798i | −0.0859738 | − | 0.996297i | \(-0.527400\pi\) |
0.0883375 | + | 0.996091i | \(0.471845\pi\) | |||||||
\(138\) | 21.5879 | + | 1.88869i | 1.83768 | + | 0.160776i | ||||
\(139\) | −22.2655 | − | 3.92602i | −1.88854 | − | 0.333000i | −0.894960 | − | 0.446146i | \(-0.852796\pi\) |
−0.993578 | + | 0.113146i | \(0.963907\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 17.1357 | − | 9.89330i | 1.44309 | − | 0.833166i | ||||
\(142\) | −5.65868 | + | 12.1351i | −0.474866 | + | 1.01835i | ||||
\(143\) | 1.55116 | − | 3.32648i | 0.129715 | − | 0.278174i | ||||
\(144\) | 4.17276 | − | 2.40914i | 0.347730 | − | 0.200762i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 7.66185 | + | 1.35099i | 0.634099 | + | 0.111809i | ||||
\(147\) | −13.8939 | − | 1.21556i | −1.14595 | − | 0.100257i | ||||
\(148\) | −1.18433 | + | 0.103615i | −0.0973513 | + | 0.00851713i | ||||
\(149\) | −8.93127 | + | 1.57482i | −0.731678 | + | 0.129015i | −0.527061 | − | 0.849827i | \(-0.676706\pi\) |
−0.204617 | + | 0.978842i | \(0.565595\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 10.1061i | 0.822423i | 0.911540 | + | 0.411211i | \(0.134894\pi\) | ||||
−0.911540 | + | 0.411211i | \(0.865106\pi\) | |||||||
\(152\) | 3.71004 | + | 2.28815i | 0.300924 | + | 0.185593i | ||||
\(153\) | 13.1017 | + | 13.1017i | 1.05921 | + | 1.05921i | ||||
\(154\) | 1.91700 | + | 0.697731i | 0.154476 | + | 0.0562247i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −5.46639 | − | 4.58685i | −0.437662 | − | 0.367242i | ||||
\(157\) | 1.24807 | − | 14.2656i | 0.0996072 | − | 1.13852i | −0.767723 | − | 0.640782i | \(-0.778610\pi\) |
0.867330 | − | 0.497734i | \(-0.165834\pi\) | |||||||
\(158\) | −11.0491 | + | 7.73669i | −0.879022 | + | 0.615498i | ||||
\(159\) | 1.96434 | + | 1.13411i | 0.155782 | + | 0.0899408i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 10.3303 | − | 3.75992i | 0.814142 | − | 0.296324i | ||||
\(162\) | −0.216579 | − | 0.100992i | −0.0170160 | − | 0.00793471i | ||||
\(163\) | 5.44457 | − | 20.3194i | 0.426452 | − | 1.59154i | −0.334280 | − | 0.942474i | \(-0.608493\pi\) |
0.760732 | − | 0.649066i | \(-0.224840\pi\) | |||||||
\(164\) | −4.24331 | + | 7.34963i | −0.331347 | + | 0.573909i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.84503 | + | 6.96584i | 0.453663 | + | 0.540654i | ||||
\(167\) | 0.379837 | + | 4.34156i | 0.0293927 | + | 0.335960i | 0.996626 | + | 0.0820723i | \(0.0261538\pi\) |
−0.967234 | + | 0.253888i | \(0.918291\pi\) | |||||||
\(168\) | 2.27491 | − | 3.24891i | 0.175513 | − | 0.250659i | ||||
\(169\) | 2.21868 | − | 6.09577i | 0.170668 | − | 0.468905i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.22215 | + | 20.9668i | 0.0934602 | + | 1.60337i | ||||
\(172\) | −1.55951 | + | 1.55951i | −0.118912 | + | 0.118912i | ||||
\(173\) | 13.5290 | − | 6.30866i | 1.02859 | − | 0.479639i | 0.166310 | − | 0.986074i | \(-0.446815\pi\) |
0.862278 | + | 0.506435i | \(0.169037\pi\) | |||||||
\(174\) | −0.474785 | − | 2.69264i | −0.0359934 | − | 0.204129i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.10172 | − | 0.924455i | 0.0830455 | − | 0.0696834i | ||||
\(177\) | −2.10025 | − | 2.99947i | −0.157864 | − | 0.225454i | ||||
\(178\) | −16.2856 | + | 4.36371i | −1.22066 | + | 0.327074i | ||||
\(179\) | 6.10433 | + | 10.5730i | 0.456259 | + | 0.790264i | 0.998760 | − | 0.0497916i | \(-0.0158557\pi\) |
−0.542501 | + | 0.840055i | \(0.682522\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.81322 | − | 4.98179i | −0.134776 | − | 0.370294i | 0.853885 | − | 0.520463i | \(-0.174240\pi\) |
−0.988660 | + | 0.150169i | \(0.952018\pi\) | |||||||
\(182\) | −3.49665 | − | 0.936926i | −0.259189 | − | 0.0694496i | ||||
\(183\) | 3.20167 | + | 11.9488i | 0.236674 | + | 0.883280i | ||||
\(184\) | 1.34580 | − | 7.63240i | 0.0992135 | − | 0.562668i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 15.4265 | − | 18.3846i | 1.13112 | − | 1.34802i | ||||
\(187\) | 4.53037 | + | 3.17220i | 0.331294 | + | 0.231974i | ||||
\(188\) | −2.99064 | − | 6.41344i | −0.218114 | − | 0.467748i | ||||
\(189\) | 7.21168 | 0.524572 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.76481 | 0.634199 | 0.317100 | − | 0.948392i | \(-0.397291\pi\) | ||||
0.317100 | + | 0.948392i | \(0.397291\pi\) | |||||||
\(192\) | −1.18169 | − | 2.53415i | −0.0852812 | − | 0.182886i | ||||
\(193\) | 7.98750 | + | 5.59291i | 0.574953 | + | 0.402586i | 0.824571 | − | 0.565758i | \(-0.191416\pi\) |
−0.249619 | + | 0.968344i | \(0.580305\pi\) | |||||||
\(194\) | 2.69262 | − | 3.20894i | 0.193319 | − | 0.230388i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.866151 | + | 4.91219i | −0.0618679 | + | 0.350870i | ||||
\(197\) | 1.67154 | + | 6.23829i | 0.119093 | + | 0.444460i | 0.999560 | − | 0.0296463i | \(-0.00943808\pi\) |
−0.880468 | + | 0.474106i | \(0.842771\pi\) | |||||||
\(198\) | 6.69352 | + | 1.79352i | 0.475688 | + | 0.127460i | ||||
\(199\) | −7.61547 | − | 20.9233i | −0.539846 | − | 1.48322i | −0.847019 | − | 0.531562i | \(-0.821605\pi\) |
0.307173 | − | 0.951654i | \(-0.400617\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 12.7327 | + | 22.0536i | 0.898093 | + | 1.55554i | ||||
\(202\) | 14.6517 | − | 3.92592i | 1.03089 | − | 0.276227i | ||||
\(203\) | −0.795574 | − | 1.13620i | −0.0558383 | − | 0.0797454i | ||||
\(204\) | 8.23685 | − | 6.91154i | 0.576695 | − | 0.483904i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 3.00198 | + | 17.0251i | 0.209158 | + | 1.18619i | ||||
\(207\) | 33.8437 | − | 15.7816i | 2.35230 | − | 1.09690i | ||||
\(208\) | −1.80458 | + | 1.80458i | −0.125125 | + | 0.125125i | ||||
\(209\) | 1.44600 | + | 6.09991i | 0.100022 | + | 0.421939i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.53221 | − | 6.95719i | 0.174325 | − | 0.478953i | −0.821503 | − | 0.570204i | \(-0.806864\pi\) |
0.995828 | + | 0.0912509i | \(0.0290865\pi\) | |||||||
\(212\) | 0.465287 | − | 0.664499i | 0.0319560 | − | 0.0456380i | ||||
\(213\) | 3.26301 | + | 37.2964i | 0.223578 | + | 2.55551i | ||||
\(214\) | −4.34120 | − | 5.17364i | −0.296758 | − | 0.353663i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 2.54208 | − | 4.40300i | 0.172966 | − | 0.299586i | ||||
\(217\) | 3.15107 | − | 11.7599i | 0.213908 | − | 0.798317i | ||||
\(218\) | −7.83314 | − | 3.65265i | −0.530527 | − | 0.247389i | ||||
\(219\) | 20.4420 | − | 7.44028i | 1.38134 | − | 0.502768i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −8.49910 | − | 4.90696i | −0.571711 | − | 0.330078i | ||||
\(222\) | −2.72301 | + | 1.90667i | −0.182756 | + | 0.127967i | ||||
\(223\) | 0.609717 | − | 6.96910i | 0.0408297 | − | 0.466685i | −0.948066 | − | 0.318074i | \(-0.896964\pi\) |
0.988896 | − | 0.148612i | \(-0.0474804\pi\) | |||||||
\(224\) | −1.08661 | − | 0.911770i | −0.0726019 | − | 0.0609202i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −16.5227 | − | 6.01375i | −1.09907 | − | 0.400029i | ||||
\(227\) | −14.4492 | − | 14.4492i | −0.959030 | − | 0.959030i | 0.0401631 | − | 0.999193i | \(-0.487212\pi\) |
−0.999193 | + | 0.0401631i | \(0.987212\pi\) | |||||||
\(228\) | 12.1829 | + | 0.353922i | 0.806830 | + | 0.0234391i | ||||
\(229\) | − | 8.37742i | − | 0.553595i | −0.960928 | − | 0.276798i | \(-0.910727\pi\) | ||
0.960928 | − | 0.276798i | \(-0.0892732\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 5.61750 | − | 0.990518i | 0.369605 | − | 0.0651713i | ||||
\(232\) | −0.974127 | + | 0.0852250i | −0.0639545 | + | 0.00559530i | ||||
\(233\) | 13.5419 | + | 1.18477i | 0.887163 | + | 0.0776167i | 0.521620 | − | 0.853178i | \(-0.325328\pi\) |
0.365543 | + | 0.930795i | \(0.380883\pi\) | |||||||
\(234\) | −12.1098 | − | 2.13528i | −0.791639 | − | 0.139587i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −1.13411 | + | 0.654777i | −0.0738241 | + | 0.0426224i | ||||
\(237\) | −15.9392 | + | 34.1818i | −1.03537 | + | 2.22035i | ||||
\(238\) | 2.30525 | − | 4.94362i | 0.149427 | − | 0.320447i | ||||
\(239\) | 12.0757 | − | 6.97188i | 0.781109 | − | 0.450974i | −0.0557142 | − | 0.998447i | \(-0.517744\pi\) |
0.836823 | + | 0.547473i | \(0.184410\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −10.0021 | − | 1.76363i | −0.644290 | − | 0.113606i | −0.158050 | − | 0.987431i | \(-0.550521\pi\) |
−0.486240 | + | 0.873825i | \(0.661632\pi\) | |||||||
\(242\) | −8.89760 | − | 0.778439i | −0.571960 | − | 0.0500400i | ||||
\(243\) | −15.8601 | + | 1.38757i | −1.01742 | + | 0.0890130i | ||||
\(244\) | 4.35688 | − | 0.768236i | 0.278921 | − | 0.0491813i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 23.7296i | 1.51294i | ||||||||
\(247\) | −3.49954 | − | 10.5594i | −0.222670 | − | 0.671877i | ||||
\(248\) | −6.06916 | − | 6.06916i | −0.385392 | − | 0.385392i | ||||
\(249\) | 23.8925 | + | 8.69615i | 1.51412 | + | 0.551096i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 13.9972 | + | 11.7451i | 0.883498 | + | 0.741343i | 0.966895 | − | 0.255173i | \(-0.0821326\pi\) |
−0.0833972 | + | 0.996516i | \(0.526577\pi\) | |||||||
\(252\) | 0.595671 | − | 6.80855i | 0.0375238 | − | 0.428899i | ||||
\(253\) | 9.13045 | − | 6.39321i | 0.574027 | − | 0.401938i | ||||
\(254\) | −8.44830 | − | 4.87763i | −0.530093 | − | 0.306050i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 1.02601 | + | 0.478437i | 0.0640008 | + | 0.0298441i | 0.454355 | − | 0.890821i | \(-0.349870\pi\) |
−0.390354 | + | 0.920665i | \(0.627647\pi\) | |||||||
\(258\) | −1.59608 | + | 5.95667i | −0.0993679 | + | 0.370846i | ||||
\(259\) | −0.843172 | + | 1.46042i | −0.0523922 | + | 0.0907459i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.02853 | − | 3.60926i | −0.187461 | − | 0.223407i | ||||
\(262\) | −1.31494 | − | 15.0299i | −0.0812374 | − | 0.928548i | ||||
\(263\) | −8.03137 | + | 11.4700i | −0.495236 | + | 0.707270i | −0.986504 | − | 0.163739i | \(-0.947645\pi\) |
0.491268 | + | 0.871008i | \(0.336533\pi\) | |||||||
\(264\) | 1.37539 | − | 3.77885i | 0.0846494 | − | 0.232572i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 5.67716 | − | 2.44920i | 0.348089 | − | 0.150170i | ||||
\(267\) | −33.3350 | + | 33.3350i | −2.04007 | + | 2.04007i | ||||
\(268\) | 8.25409 | − | 3.84895i | 0.504199 | − | 0.235112i | ||||
\(269\) | 0.661925 | + | 3.75396i | 0.0403583 | + | 0.228883i | 0.998315 | − | 0.0580301i | \(-0.0184819\pi\) |
−0.957957 | + | 0.286913i | \(0.907371\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.0473 | + | 11.7871i | −0.853311 | + | 0.716013i | −0.960516 | − | 0.278224i | \(-0.910254\pi\) |
0.107205 | + | 0.994237i | \(0.465810\pi\) | |||||||
\(272\) | −2.20568 | − | 3.15004i | −0.133739 | − | 0.190999i | ||||
\(273\) | −9.77707 | + | 2.61976i | −0.591735 | + | 0.158555i | ||||
\(274\) | −0.0138861 | − | 0.0240514i | −0.000838890 | − | 0.00145300i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −7.41169 | − | 20.3634i | −0.446131 | − | 1.22574i | ||||
\(277\) | −7.55152 | − | 2.02342i | −0.453727 | − | 0.121576i | 0.0247158 | − | 0.999695i | \(-0.492132\pi\) |
−0.478443 | + | 0.878119i | \(0.658799\pi\) | |||||||
\(278\) | 5.85165 | + | 21.8386i | 0.350958 | + | 1.30979i | ||||
\(279\) | 7.18135 | − | 40.7275i | 0.429936 | − | 2.43829i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −11.6345 | + | 13.8654i | −0.694054 | + | 0.827142i | −0.991840 | − | 0.127491i | \(-0.959308\pi\) |
0.297786 | + | 0.954633i | \(0.403752\pi\) | |||||||
\(282\) | −16.2082 | − | 11.3491i | −0.965186 | − | 0.675830i | ||||
\(283\) | 6.59772 | + | 14.1489i | 0.392194 | + | 0.841062i | 0.998934 | + | 0.0461618i | \(0.0146990\pi\) |
−0.606740 | + | 0.794900i | \(0.707523\pi\) | |||||||
\(284\) | 13.3896 | 0.794525 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.67037 | −0.217033 | ||||||||
\(287\) | 5.08746 | + | 10.9101i | 0.300303 | + | 0.644002i | ||||
\(288\) | −3.94691 | − | 2.76366i | −0.232574 | − | 0.162850i | ||||
\(289\) | −1.42200 | + | 1.69467i | −0.0836469 | + | 0.0996865i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.03392 | − | 11.5349i | 0.119230 | − | 0.676189i | ||||
\(292\) | −2.01362 | − | 7.51494i | −0.117838 | − | 0.439779i | ||||
\(293\) | 0.0404317 | + | 0.0108336i | 0.00236204 | + | 0.000632908i | 0.260000 | − | 0.965609i | \(-0.416277\pi\) |
−0.257638 | + | 0.966242i | \(0.582944\pi\) | |||||||
\(294\) | 4.77014 | + | 13.1058i | 0.278200 | + | 0.764348i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0.594427 | + | 1.02958i | 0.0345504 | + | 0.0598430i | ||||
\(297\) | 7.06286 | − | 1.89249i | 0.409829 | − | 0.109813i | ||||
\(298\) | 5.20179 | + | 7.42893i | 0.301332 | + | 0.430346i | ||||
\(299\) | −15.1515 | + | 12.7136i | −0.876232 | + | 0.735246i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.543240 | + | 3.08087i | 0.0313119 | + | 0.177578i | ||||
\(302\) | 9.15924 | − | 4.27102i | 0.527055 | − | 0.245770i | ||||
\(303\) | 29.9907 | − | 29.9907i | 1.72292 | − | 1.72292i | ||||
\(304\) | 0.505837 | − | 4.32945i | 0.0290118 | − | 0.248311i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 6.33717 | − | 17.4112i | 0.362272 | − | 0.995335i | ||||
\(307\) | −14.8308 | + | 21.1806i | −0.846439 | + | 1.20884i | 0.129669 | + | 0.991557i | \(0.458608\pi\) |
−0.976109 | + | 0.217283i | \(0.930280\pi\) | |||||||
\(308\) | −0.177800 | − | 2.03227i | −0.0101311 | − | 0.115799i | ||||
\(309\) | 31.0714 | + | 37.0294i | 1.76759 | + | 2.10653i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 15.3091 | − | 26.5162i | 0.868102 | − | 1.50360i | 0.00416782 | − | 0.999991i | \(-0.498673\pi\) |
0.863934 | − | 0.503605i | \(-0.167993\pi\) | |||||||
\(312\) | −1.84690 | + | 6.89272i | −0.104560 | + | 0.390223i | ||||
\(313\) | −6.61441 | − | 3.08435i | −0.373869 | − | 0.174338i | 0.226597 | − | 0.973989i | \(-0.427240\pi\) |
−0.600465 | + | 0.799651i | \(0.705018\pi\) | |||||||
\(314\) | −13.4564 | + | 4.89775i | −0.759391 | + | 0.276396i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 11.6814 | + | 6.74425i | 0.657129 | + | 0.379394i | ||||
\(317\) | −16.2430 | + | 11.3735i | −0.912300 | + | 0.638799i | −0.932568 | − | 0.360995i | \(-0.882437\pi\) |
0.0202678 | + | 0.999795i | \(0.493548\pi\) | |||||||
\(318\) | 0.197689 | − | 2.25959i | 0.0110858 | − | 0.126712i | ||||
\(319\) | −1.07732 | − | 0.903976i | −0.0603182 | − | 0.0506129i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −17.7453 | − | 6.45877i | −0.990447 | − | 0.360493i | ||||
\(322\) | −7.77343 | − | 7.77343i | −0.433196 | − | 0.433196i | ||||
\(323\) | 16.5850 | − | 2.43013i | 0.922814 | − | 0.135216i | ||||
\(324\) | 0.238968i | 0.0132760i | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −20.7166 | + | 3.65290i | −1.14739 | + | 0.202315i | ||||
\(327\) | −24.0747 | + | 2.10626i | −1.33133 | + | 0.116476i | ||||
\(328\) | 8.45432 | + | 0.739657i | 0.466812 | + | 0.0408408i | ||||
\(329\) | −9.88518 | − | 1.74302i | −0.544988 | − | 0.0960960i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 6.11287 | − | 3.52927i | 0.335994 | − | 0.193986i | −0.322505 | − | 0.946568i | \(-0.604525\pi\) |
0.658499 | + | 0.752582i | \(0.271192\pi\) | |||||||
\(332\) | 3.84298 | − | 8.24129i | 0.210911 | − | 0.452300i | ||||
\(333\) | −2.42086 | + | 5.19155i | −0.132662 | + | 0.284495i | ||||
\(334\) | 3.77426 | − | 2.17907i | 0.206519 | − | 0.119234i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −3.90594 | − | 0.688722i | −0.213086 | − | 0.0375729i | ||||
\(337\) | 10.7551 | + | 0.940949i | 0.585867 | + | 0.0512568i | 0.376236 | − | 0.926524i | \(-0.377218\pi\) |
0.209631 | + | 0.977781i | \(0.432774\pi\) | |||||||
\(338\) | −6.46230 | + | 0.565378i | −0.351503 | + | 0.0307525i | ||||
\(339\) | −48.4174 | + | 8.53729i | −2.62967 | + | 0.463682i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 12.3442i | − | 0.668474i | ||||||
\(342\) | 18.4859 | − | 9.96861i | 0.999603 | − | 0.539041i | ||||
\(343\) | 12.0240 | + | 12.0240i | 0.649234 | + | 0.649234i | ||||
\(344\) | 2.07248 | + | 0.754320i | 0.111740 | + | 0.0406702i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −11.4352 | − | 9.59525i | −0.614759 | − | 0.515844i | ||||
\(347\) | −2.59947 | + | 29.7121i | −0.139547 | + | 1.59503i | 0.527199 | + | 0.849742i | \(0.323242\pi\) |
−0.666746 | + | 0.745285i | \(0.732313\pi\) | |||||||
\(348\) | −2.23971 | + | 1.56826i | −0.120061 | + | 0.0840676i | ||||
\(349\) | −27.8786 | − | 16.0957i | −1.49231 | − | 0.861583i | −0.492344 | − | 0.870400i | \(-0.663860\pi\) |
−0.999961 | + | 0.00881742i | \(0.997193\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −12.1926 | + | 4.43773i | −0.650791 | + | 0.236869i | ||||
\(352\) | −1.30345 | − | 0.607808i | −0.0694741 | − | 0.0323963i | ||||
\(353\) | 7.60590 | − | 28.3856i | 0.404821 | − | 1.51081i | −0.399563 | − | 0.916706i | \(-0.630838\pi\) |
0.804385 | − | 0.594109i | \(-0.202495\pi\) | |||||||
\(354\) | −1.83084 | + | 3.17110i | −0.0973078 | + | 0.168542i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 10.8374 | + | 12.9156i | 0.574383 | + | 0.684523i | ||||
\(357\) | −1.32929 | − | 15.1939i | −0.0703537 | − | 0.804146i | ||||
\(358\) | 7.00260 | − | 10.0007i | 0.370099 | − | 0.528556i | ||||
\(359\) | 3.60854 | − | 9.91438i | 0.190451 | − | 0.523261i | −0.807311 | − | 0.590127i | \(-0.799078\pi\) |
0.997762 | + | 0.0668659i | \(0.0213000\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.8752 | + | 10.4392i | 0.835539 | + | 0.549432i | ||||
\(362\) | −3.74873 | + | 3.74873i | −0.197029 | + | 0.197029i | ||||
\(363\) | −22.6339 | + | 10.5544i | −1.18797 | + | 0.553961i | ||||
\(364\) | 0.628607 | + | 3.56501i | 0.0329480 | + | 0.186857i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 9.47620 | − | 7.95148i | 0.495329 | − | 0.415630i | ||||
\(367\) | 13.6427 | + | 19.4838i | 0.712143 | + | 1.01704i | 0.998267 | + | 0.0588524i | \(0.0187441\pi\) |
−0.286124 | + | 0.958193i | \(0.592367\pi\) | |||||||
\(368\) | −7.48606 | + | 2.00588i | −0.390238 | + | 0.104564i | ||||
\(369\) | 20.4455 | + | 35.4126i | 1.06435 | + | 1.84351i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.393549 | − | 1.08127i | −0.0204321 | − | 0.0561366i | ||||
\(372\) | −23.1816 | − | 6.21148i | −1.20191 | − | 0.322050i | ||||
\(373\) | 5.96357 | + | 22.2563i | 0.308782 | + | 1.15239i | 0.929641 | + | 0.368467i | \(0.120117\pi\) |
−0.620859 | + | 0.783922i | \(0.713216\pi\) | |||||||
\(374\) | 0.960373 | − | 5.44654i | 0.0496597 | − | 0.281634i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.54865 | + | 5.42087i | −0.234579 | + | 0.279560i | ||||
\(377\) | 2.04422 | + | 1.43138i | 0.105282 | + | 0.0737196i | ||||
\(378\) | −3.04779 | − | 6.53600i | −0.156761 | − | 0.336176i | ||||
\(379\) | 15.3883 | 0.790444 | 0.395222 | − | 0.918586i | \(-0.370668\pi\) | ||||
0.395222 | + | 0.918586i | \(0.370668\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −27.2769 | −1.39744 | ||||||||
\(382\) | −3.70417 | − | 7.94362i | −0.189522 | − | 0.406431i | ||||
\(383\) | −15.9781 | − | 11.1880i | −0.816441 | − | 0.571678i | 0.0890582 | − | 0.996026i | \(-0.471614\pi\) |
−0.905499 | + | 0.424348i | \(0.860503\pi\) | |||||||
\(384\) | −1.79731 | + | 2.14195i | −0.0917187 | + | 0.109306i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 1.69323 | − | 9.60280i | 0.0861832 | − | 0.488769i | ||||
\(387\) | 2.75038 | + | 10.2646i | 0.139810 | + | 0.521777i | ||||
\(388\) | −4.04623 | − | 1.08418i | −0.205416 | − | 0.0550411i | ||||
\(389\) | −0.792563 | − | 2.17755i | −0.0401845 | − | 0.110406i | 0.917977 | − | 0.396633i | \(-0.129821\pi\) |
−0.958162 | + | 0.286226i | \(0.907599\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −14.9015 | − | 25.8102i | −0.753603 | − | 1.30528i | ||||
\(392\) | 4.81800 | − | 1.29098i | 0.243346 | − | 0.0652043i | ||||
\(393\) | −24.1968 | − | 34.5566i | −1.22057 | − | 1.74315i | ||||
\(394\) | 4.94738 | − | 4.15135i | 0.249246 | − | 0.209142i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −1.20332 | − | 6.82437i | −0.0604691 | − | 0.342937i | ||||
\(397\) | 31.4891 | − | 14.6836i | 1.58039 | − | 0.736949i | 0.583235 | − | 0.812303i | \(-0.301787\pi\) |
0.997157 | + | 0.0753543i | \(0.0240088\pi\) | |||||||
\(398\) | −15.7445 | + | 15.7445i | −0.789203 | + | 0.789203i | ||||
\(399\) | 10.3232 | − | 13.8678i | 0.516805 | − | 0.694257i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −2.64338 | + | 7.26262i | −0.132004 | + | 0.362678i | −0.988031 | − | 0.154252i | \(-0.950703\pi\) |
0.856028 | + | 0.516930i | \(0.172925\pi\) | |||||||
\(402\) | 14.6063 | − | 20.8600i | 0.728497 | − | 1.04040i | ||||
\(403\) | 1.90911 | + | 21.8212i | 0.0950994 | + | 1.08699i | ||||
\(404\) | −9.75019 | − | 11.6198i | −0.485090 | − | 0.578108i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.693520 | + | 1.20121i | −0.0344188 | + | 0.0596152i | ||||
\(407\) | −0.442530 | + | 1.65154i | −0.0219354 | + | 0.0818640i | ||||
\(408\) | −9.74502 | − | 4.54418i | −0.482450 | − | 0.224970i | ||||
\(409\) | −0.393201 | + | 0.143113i | −0.0194425 | + | 0.00707651i | −0.351723 | − | 0.936104i | \(-0.614404\pi\) |
0.332281 | + | 0.943181i | \(0.392182\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.0672507 | − | 0.0388272i | −0.00331723 | − | 0.00191520i | ||||
\(412\) | 14.1613 | − | 9.91582i | 0.697675 | − | 0.488518i | ||||
\(413\) | −0.161897 | + | 1.85049i | −0.00796641 | + | 0.0910564i | ||||
\(414\) | −28.6059 | − | 24.0032i | −1.40591 | − | 1.17969i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 2.39815 | + | 0.872856i | 0.117579 | + | 0.0427953i | ||||
\(417\) | 44.7016 | + | 44.7016i | 2.18904 | + | 2.18904i | ||||
\(418\) | 4.91729 | − | 3.88845i | 0.240512 | − | 0.190191i | ||||
\(419\) | 31.7406i | 1.55063i | 0.631575 | + | 0.775315i | \(0.282409\pi\) | ||||
−0.631575 | + | 0.775315i | \(0.717591\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −23.2673 | + | 4.10266i | −1.13398 | + | 0.199951i | −0.708971 | − | 0.705238i | \(-0.750840\pi\) |
−0.425009 | + | 0.905189i | \(0.639729\pi\) | |||||||
\(422\) | −7.37551 | + | 0.645274i | −0.359034 | + | 0.0314114i | ||||
\(423\) | −33.9666 | − | 2.97169i | −1.65151 | − | 0.144489i | ||||
\(424\) | −0.798879 | − | 0.140864i | −0.0387970 | − | 0.00684096i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 32.4230 | − | 18.7194i | 1.57090 | − | 0.906959i | ||||
\(427\) | 2.65211 | − | 5.68746i | 0.128344 | − | 0.275235i | ||||
\(428\) | −2.85424 | + | 6.12094i | −0.137965 | + | 0.295867i | ||||
\(429\) | −8.88783 | + | 5.13139i | −0.429109 | + | 0.247746i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 5.28828 | + | 0.932466i | 0.254727 | + | 0.0449153i | 0.299554 | − | 0.954080i | \(-0.403162\pi\) |
−0.0448262 | + | 0.998995i | \(0.514273\pi\) | |||||||
\(432\) | −5.06480 | − | 0.443113i | −0.243680 | − | 0.0213193i | ||||
\(433\) | −17.2027 | + | 1.50504i | −0.826707 | + | 0.0723275i | −0.492652 | − | 0.870226i | \(-0.663973\pi\) |
−0.334055 | + | 0.942554i | \(0.608417\pi\) | |||||||
\(434\) | −11.9898 | + | 2.11413i | −0.575530 | + | 0.101481i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 8.64292i | 0.413921i | ||||||||
\(437\) | 6.82980 | − | 33.0845i | 0.326714 | − | 1.58264i | ||||
\(438\) | −15.3824 | − | 15.3824i | −0.734997 | − | 0.734997i | ||||
\(439\) | 26.2578 | + | 9.55707i | 1.25322 | + | 0.456134i | 0.881488 | − | 0.472206i | \(-0.156542\pi\) |
0.371731 | + | 0.928341i | \(0.378765\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 18.4107 | + | 15.4484i | 0.876699 | + | 0.735638i | ||||
\(442\) | −0.855339 | + | 9.77657i | −0.0406843 | + | 0.465024i | ||||
\(443\) | 22.3831 | − | 15.6728i | 1.06346 | − | 0.744639i | 0.0954158 | − | 0.995438i | \(-0.469582\pi\) |
0.968039 | + | 0.250798i | \(0.0806930\pi\) | |||||||
\(444\) | 2.87882 | + | 1.66209i | 0.136623 | + | 0.0788792i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −6.57383 | + | 2.39268i | −0.311280 | + | 0.113297i | ||||
\(447\) | 22.9823 | + | 10.7168i | 1.08703 | + | 0.506888i | ||||
\(448\) | −0.367125 | + | 1.37013i | −0.0173450 | + | 0.0647325i | ||||
\(449\) | −16.3535 | + | 28.3250i | −0.771768 | + | 1.33674i | 0.164825 | + | 0.986323i | \(0.447294\pi\) |
−0.936593 | + | 0.350419i | \(0.886039\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.84550 | + | 9.34990i | 0.369430 | + | 0.440270i | ||||
\(452\) | 1.53246 | + | 17.5161i | 0.0720810 | + | 0.823889i | ||||
\(453\) | 16.2080 | − | 23.1475i | 0.761520 | − | 1.08756i | ||||
\(454\) | −6.98895 | + | 19.2020i | −0.328008 | + | 0.901193i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −4.82794 | − | 11.1910i | −0.226089 | − | 0.524067i | ||||
\(457\) | 15.0028 | − | 15.0028i | 0.701802 | − | 0.701802i | −0.262995 | − | 0.964797i | \(-0.584710\pi\) |
0.964797 | + | 0.262995i | \(0.0847104\pi\) | |||||||
\(458\) | −7.59252 | + | 3.54045i | −0.354775 | + | 0.165434i | ||||
\(459\) | −3.39500 | − | 19.2540i | −0.158465 | − | 0.898700i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −19.5724 | + | 16.4232i | −0.911575 | + | 0.764903i | −0.972418 | − | 0.233245i | \(-0.925066\pi\) |
0.0608426 | + | 0.998147i | \(0.480621\pi\) | |||||||
\(462\) | −3.27177 | − | 4.67258i | −0.152217 | − | 0.217388i | ||||
\(463\) | 6.28038 | − | 1.68282i | 0.291874 | − | 0.0782074i | −0.109911 | − | 0.993941i | \(-0.535057\pi\) |
0.401785 | + | 0.915734i | \(0.368390\pi\) | |||||||
\(464\) | 0.488924 | + | 0.846841i | 0.0226977 | + | 0.0393136i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.64931 | − | 12.7739i | −0.215375 | − | 0.591739i | ||||
\(467\) | −1.54911 | − | 0.415083i | −0.0716844 | − | 0.0192078i | 0.222799 | − | 0.974864i | \(-0.428481\pi\) |
−0.294483 | + | 0.955657i | \(0.595147\pi\) | |||||||
\(468\) | 3.18259 | + | 11.8776i | 0.147115 | + | 0.549041i | ||||
\(469\) | 2.24327 | − | 12.7222i | 0.103585 | − | 0.587458i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −25.7376 | + | 30.6729i | −1.18593 | + | 1.41333i | ||||
\(472\) | 1.07272 | + | 0.751130i | 0.0493761 | + | 0.0345735i | ||||
\(473\) | 1.34051 | + | 2.87474i | 0.0616368 | + | 0.132180i | ||||
\(474\) | 37.7155 | 1.73233 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −5.45468 | −0.250015 | ||||||||
\(477\) | −1.65185 | − | 3.54240i | −0.0756330 | − | 0.162196i | ||||
\(478\) | −11.4221 | − | 7.99781i | −0.522433 | − | 0.365811i | ||||
\(479\) | 6.24602 | − | 7.44372i | 0.285388 | − | 0.340112i | −0.604236 | − | 0.796805i | \(-0.706522\pi\) |
0.889624 | + | 0.456693i | \(0.150966\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.526853 | − | 2.98793i | 0.0240224 | − | 0.136238i | ||||
\(482\) | 2.62866 | + | 9.81030i | 0.119732 | + | 0.446847i | ||||
\(483\) | −29.6911 | − | 7.95572i | −1.35099 | − | 0.361998i | ||||
\(484\) | 3.05478 | + | 8.39295i | 0.138854 | + | 0.381498i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 7.96032 | + | 13.7877i | 0.361087 | + | 0.625422i | ||||
\(487\) | 16.4752 | − | 4.41451i | 0.746562 | − | 0.200041i | 0.134569 | − | 0.990904i | \(-0.457035\pi\) |
0.611993 | + | 0.790864i | \(0.290368\pi\) | |||||||
\(488\) | −2.53756 | − | 3.62401i | −0.114870 | − | 0.164051i | ||||
\(489\) | −45.0586 | + | 37.8086i | −2.03762 | + | 1.70977i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 5.06825 | + | 28.7435i | 0.228727 | + | 1.29717i | 0.855431 | + | 0.517917i | \(0.173292\pi\) |
−0.626704 | + | 0.779257i | \(0.715596\pi\) | |||||||
\(492\) | 21.5063 | − | 10.0286i | 0.969580 | − | 0.452123i | ||||
\(493\) | −2.65893 | + | 2.65893i | −0.119752 | + | 0.119752i | ||||
\(494\) | −8.09108 | + | 7.63425i | −0.364035 | + | 0.343481i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.93559 | + | 8.06546i | −0.131812 | + | 0.362150i | ||||
\(497\) | 10.8937 | − | 15.5578i | 0.488650 | − | 0.697864i | ||||
\(498\) | −2.21601 | − | 25.3291i | −0.0993017 | − | 1.13502i | ||||
\(499\) | −16.9124 | − | 20.1555i | −0.757105 | − | 0.902282i | 0.240556 | − | 0.970635i | \(-0.422670\pi\) |
−0.997661 | + | 0.0683527i | \(0.978226\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 6.09295 | − | 10.5533i | 0.272213 | − | 0.471487i | ||||
\(502\) | 4.72917 | − | 17.6495i | 0.211073 | − | 0.787736i | ||||
\(503\) | 16.5689 | + | 7.72618i | 0.738769 | + | 0.344493i | 0.755308 | − | 0.655370i | \(-0.227487\pi\) |
−0.0165396 | + | 0.999863i | \(0.505265\pi\) | |||||||
\(504\) | −6.42239 | + | 2.33756i | −0.286076 | + | 0.104123i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −9.65291 | − | 5.57311i | −0.429124 | − | 0.247755i | ||||
\(507\) | −14.8581 | + | 10.4038i | −0.659871 | + | 0.462047i | ||||
\(508\) | −0.850227 | + | 9.71813i | −0.0377227 | + | 0.431172i | ||||
\(509\) | 31.0964 | + | 26.0930i | 1.37832 | + | 1.15655i | 0.969828 | + | 0.243790i | \(0.0783909\pi\) |
0.408496 | + | 0.912760i | \(0.366054\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −10.3702 | − | 3.77443i | −0.458749 | − | 0.166971i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 11.6333 | − | 18.8624i | 0.513622 | − | 0.832795i | ||||
\(514\) | − | 1.13208i | − | 0.0499338i | ||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 6.07311 | − | 1.07085i | 0.267354 | − | 0.0471417i | ||||
\(517\) | −10.1386 | + | 0.887012i | −0.445895 | + | 0.0390107i | ||||
\(518\) | 1.67993 | + | 0.146975i | 0.0738118 | + | 0.00645769i | ||||
\(519\) | −41.1051 | − | 7.24795i | −1.80432 | − | 0.318149i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −3.81050 | + | 2.20000i | −0.166941 | + | 0.0963836i | −0.581143 | − | 0.813802i | \(-0.697394\pi\) |
0.414202 | + | 0.910185i | \(0.364061\pi\) | |||||||
\(522\) | −1.99119 | + | 4.27012i | −0.0871519 | + | 0.186898i | ||||
\(523\) | 7.41462 | − | 15.9007i | 0.324219 | − | 0.695289i | −0.674872 | − | 0.737935i | \(-0.735801\pi\) |
0.999090 | + | 0.0426462i | \(0.0135788\pi\) | |||||||
\(524\) | −13.0660 | + | 7.54364i | −0.570789 | + | 0.329545i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 13.7895 | + | 2.43147i | 0.601253 | + | 0.106017i | ||||
\(527\) | −32.8805 | − | 2.87667i | −1.43230 | − | 0.125310i | ||||
\(528\) | −4.00607 | + | 0.350486i | −0.174342 | + | 0.0152529i | ||||
\(529\) | −36.5016 | + | 6.43621i | −1.58702 | + | 0.279835i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 6.30981i | 0.273822i | ||||||||
\(532\) | −4.61900 | − | 4.11018i | −0.200259 | − | 0.178199i | ||||
\(533\) | −15.3148 | − | 15.3148i | −0.663357 | − | 0.663357i | ||||
\(534\) | 44.2997 | + | 16.1238i | 1.91704 | + | 0.697744i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −6.97666 | − | 5.85411i | −0.301346 | − | 0.252859i | ||||
\(537\) | 2.97522 | − | 34.0070i | 0.128390 | − | 1.46751i | ||||
\(538\) | 3.12251 | − | 2.18640i | 0.134621 | − | 0.0942625i | ||||
\(539\) | 6.21258 | + | 3.58684i | 0.267595 | + | 0.154496i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.79099 | + | 1.01584i | −0.119994 | + | 0.0436742i | −0.401319 | − | 0.915938i | \(-0.631448\pi\) |
0.281325 | + | 0.959612i | \(0.409226\pi\) | |||||||
\(542\) | 16.6193 | + | 7.74972i | 0.713862 | + | 0.332879i | ||||
\(543\) | −3.83665 | + | 14.3186i | −0.164646 | + | 0.614468i | ||||
\(544\) | −1.92274 | + | 3.33029i | −0.0824369 | + | 0.142785i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 6.50627 | + | 7.75387i | 0.278443 | + | 0.331835i | ||||
\(547\) | −2.90668 | − | 33.2235i | −0.124281 | − | 1.42053i | −0.760657 | − | 0.649154i | \(-0.775123\pi\) |
0.636376 | − | 0.771379i | \(-0.280433\pi\) | |||||||
\(548\) | −0.0159295 | + | 0.0227497i | −0.000680474 | + | 0.000971817i | ||||
\(549\) | 7.29070 | − | 20.0310i | 0.311159 | − | 0.854903i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −4.25512 | + | 0.248029i | −0.181274 | + | 0.0105664i | ||||
\(552\) | −15.3232 | + | 15.3232i | −0.652200 | + | 0.652200i | ||||
\(553\) | 17.3403 | − | 8.08593i | 0.737386 | − | 0.343849i | ||||
\(554\) | 1.35757 | + | 7.69914i | 0.0576774 | + | 0.327105i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 17.3195 | − | 14.5328i | 0.734511 | − | 0.616328i | ||||
\(557\) | −3.72494 | − | 5.31977i | −0.157831 | − | 0.225406i | 0.732446 | − | 0.680825i | \(-0.238378\pi\) |
−0.890277 | + | 0.455419i | \(0.849490\pi\) | |||||||
\(558\) | −39.9466 | + | 10.7037i | −1.69107 | + | 0.453122i | ||||
\(559\) | −2.81426 | − | 4.87445i | −0.119031 | − | 0.206167i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −5.28904 | − | 14.5315i | −0.223304 | − | 0.613521i | ||||
\(562\) | 17.4833 | + | 4.68463i | 0.737487 | + | 0.197609i | ||||
\(563\) | 0.0874183 | + | 0.326250i | 0.00368424 | + | 0.0137498i | 0.967743 | − | 0.251938i | \(-0.0810678\pi\) |
−0.964059 | + | 0.265687i | \(0.914401\pi\) | |||||||
\(564\) | −3.43591 | + | 19.4860i | −0.144678 | + | 0.820508i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 10.0349 | − | 11.9591i | 0.421798 | − | 0.502680i | ||||
\(567\) | 0.277666 | + | 0.194424i | 0.0116609 | + | 0.00816504i | ||||
\(568\) | −5.65868 | − | 12.1351i | −0.237433 | − | 0.509176i | ||||
\(569\) | 22.3500 | 0.936962 | 0.468481 | − | 0.883474i | \(-0.344801\pi\) | ||||
0.468481 | + | 0.883474i | \(0.344801\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.3353 | 0.599913 | 0.299957 | − | 0.953953i | \(-0.403028\pi\) | ||||
0.299957 | + | 0.953953i | \(0.403028\pi\) | |||||||
\(572\) | 1.55116 | + | 3.32648i | 0.0648574 | + | 0.139087i | ||||
\(573\) | −20.0753 | − | 14.0569i | −0.838659 | − | 0.587236i | ||||
\(574\) | 7.73785 | − | 9.22161i | 0.322971 | − | 0.384902i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −0.836687 | + | 4.74509i | −0.0348620 | + | 0.197712i | ||||
\(577\) | −1.35801 | − | 5.06815i | −0.0565345 | − | 0.210990i | 0.931880 | − | 0.362766i | \(-0.118167\pi\) |
−0.988415 | + | 0.151776i | \(0.951501\pi\) | |||||||
\(578\) | 2.13685 | + | 0.572568i | 0.0888814 | + | 0.0238157i | ||||
\(579\) | −9.32511 | − | 25.6205i | −0.387538 | − | 1.06475i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −6.44922 | − | 11.1704i | −0.267559 | − | 0.463426i | ||||
\(582\) | −11.3138 | + | 3.03151i | −0.468970 | + | 0.125660i | ||||
\(583\) | −0.669174 | − | 0.955680i | −0.0277144 | − | 0.0395802i | ||||
\(584\) | −5.95986 | + | 5.00091i | −0.246621 | + | 0.206939i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.00726856 | − | 0.0412220i | −0.000300261 | − | 0.00170287i | ||||
\(587\) | 11.6945 | − | 5.45322i | 0.482682 | − | 0.225078i | −0.166018 | − | 0.986123i | \(-0.553091\pi\) |
0.648700 | + | 0.761044i | \(0.275313\pi\) | |||||||
\(588\) | 9.86198 | − | 9.86198i | 0.406701 | − | 0.406701i | ||||
\(589\) | −25.6755 | − | 27.2119i | −1.05794 | − | 1.12125i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6.17631 | − | 16.9693i | 0.254059 | − | 0.698023i | ||||
\(592\) | 0.681898 | − | 0.973852i | 0.0280258 | − | 0.0400251i | ||||
\(593\) | 2.68445 | + | 30.6834i | 0.110237 | + | 1.26002i | 0.826800 | + | 0.562495i | \(0.190159\pi\) |
−0.716563 | + | 0.697522i | \(0.754286\pi\) | |||||||
\(594\) | −4.70007 | − | 5.60132i | −0.192846 | − | 0.229825i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 4.53453 | − | 7.85403i | 0.185741 | − | 0.321714i | ||||
\(597\) | −16.1138 | + | 60.1374i | −0.659493 | + | 2.46126i | ||||
\(598\) | 17.9257 | + | 8.35889i | 0.733037 | + | 0.341821i | ||||
\(599\) | 18.0064 | − | 6.55379i | 0.735722 | − | 0.267781i | 0.0531369 | − | 0.998587i | \(-0.483078\pi\) |
0.682585 | + | 0.730806i | \(0.260856\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −26.6304 | − | 15.3750i | −1.08628 | − | 0.627161i | −0.153693 | − | 0.988119i | \(-0.549117\pi\) |
−0.932582 | + | 0.360957i | \(0.882450\pi\) | |||||||
\(602\) | 2.56263 | − | 1.79437i | 0.104445 | − | 0.0731332i | ||||
\(603\) | 3.82457 | − | 43.7150i | 0.155748 | − | 1.78021i | ||||
\(604\) | −7.74172 | − | 6.49608i | −0.315006 | − | 0.264322i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −39.8554 | − | 14.5062i | −1.61902 | − | 0.589273i | ||||
\(607\) | 26.3636 | + | 26.3636i | 1.07006 | + | 1.07006i | 0.997353 | + | 0.0727116i | \(0.0231653\pi\) |
0.0727116 | + | 0.997353i | \(0.476835\pi\) | |||||||
\(608\) | −4.13759 | + | 1.37126i | −0.167801 | + | 0.0556119i | ||||
\(609\) | 3.87833i | 0.157158i | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 17.7852 | − | 3.13600i | 0.719510 | − | 0.126869i | ||||
\(612\) | −18.4582 | + | 1.61488i | −0.746127 | + | 0.0652776i | ||||
\(613\) | −3.66263 | − | 0.320439i | −0.147932 | − | 0.0129424i | 0.0129490 | − | 0.999916i | \(-0.495878\pi\) |
−0.160881 | + | 0.986974i | \(0.551434\pi\) | |||||||
\(614\) | 25.4639 | + | 4.48998i | 1.02764 | + | 0.181201i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.76672 | + | 1.02001i | −0.0711830 | + | 0.0410975i | ||||
\(617\) | −6.12708 | + | 13.1396i | −0.246667 | + | 0.528979i | −0.990189 | − | 0.139732i | \(-0.955376\pi\) |
0.743522 | + | 0.668711i | \(0.233154\pi\) | |||||||
\(618\) | 20.4287 | − | 43.8096i | 0.821764 | − | 1.76228i | ||||
\(619\) | −12.7443 | + | 7.35793i | −0.512237 | + | 0.295740i | −0.733753 | − | 0.679417i | \(-0.762233\pi\) |
0.221516 | + | 0.975157i | \(0.428900\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −38.8043 | − | 6.84224i | −1.55716 | − | 0.274570i | ||||
\(622\) | −30.5018 | − | 2.66856i | −1.22301 | − | 0.106999i | ||||
\(623\) | 23.8244 | − | 2.08436i | 0.954503 | − | 0.0835082i | ||||
\(624\) | 7.02746 | − | 1.23913i | 0.281324 | − | 0.0496049i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 7.29819i | 0.291694i | ||||||||
\(627\) | 6.47097 | − | 16.2906i | 0.258426 | − | 0.650584i | ||||
\(628\) | 10.1258 | + | 10.1258i | 0.404064 | + | 0.404064i | ||||
\(629\) | 4.29601 | + | 1.56362i | 0.171293 | + | 0.0623456i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −24.2965 | − | 20.3872i | −0.967228 | − | 0.811601i | 0.0148857 | − | 0.999889i | \(-0.495262\pi\) |
−0.982114 | + | 0.188288i | \(0.939706\pi\) | |||||||
\(632\) | 1.17560 | − | 13.4372i | 0.0467629 | − | 0.534502i | ||||
\(633\) | −16.9578 | + | 11.8740i | −0.674010 | + | 0.471947i | ||||
\(634\) | 17.1725 | + | 9.91454i | 0.682007 | + | 0.393757i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −2.13143 | + | 0.775778i | −0.0845168 | + | 0.0307616i | ||||
\(637\) | −11.5369 | − | 5.37976i | −0.457110 | − | 0.213154i | ||||
\(638\) | −0.363987 | + | 1.35842i | −0.0144104 | + | 0.0537803i | ||||
\(639\) | 32.2574 | − | 55.8715i | 1.27608 | − | 2.21024i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −11.6955 | − | 13.9381i | −0.461944 | − | 0.550523i | 0.483909 | − | 0.875118i | \(-0.339216\pi\) |
−0.945853 | + | 0.324595i | \(0.894772\pi\) | |||||||
\(642\) | 1.64586 | + | 18.8123i | 0.0649571 | + | 0.742463i | ||||
\(643\) | −11.3266 | + | 16.1760i | −0.446676 | + | 0.637920i | −0.977841 | − | 0.209349i | \(-0.932866\pi\) |
0.531165 | + | 0.847269i | \(0.321755\pi\) | |||||||
\(644\) | −3.75992 | + | 10.3303i | −0.148162 | + | 0.407071i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.21156 | − | 14.0041i | −0.362424 | − | 0.550984i | ||||
\(647\) | 15.7748 | − | 15.7748i | 0.620172 | − | 0.620172i | −0.325404 | − | 0.945575i | \(-0.605500\pi\) |
0.945575 | + | 0.325404i | \(0.105500\pi\) | |||||||
\(648\) | 0.216579 | − | 0.100992i | 0.00850802 | − | 0.00396736i | ||||
\(649\) | 0.327048 | + | 1.85478i | 0.0128378 | + | 0.0728066i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −26.0778 | + | 21.8819i | −1.02207 | + | 0.857618i | ||||
\(652\) | 12.0659 | + | 17.2319i | 0.472536 | + | 0.674852i | ||||
\(653\) | 32.2155 | − | 8.63211i | 1.26069 | − | 0.337801i | 0.434232 | − | 0.900801i | \(-0.357020\pi\) |
0.826457 | + | 0.563000i | \(0.190353\pi\) | |||||||
\(654\) | 12.0833 | + | 20.9289i | 0.472495 | + | 0.818385i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −2.90259 | − | 7.97481i | −0.113327 | − | 0.311364i | ||||
\(657\) | −36.2092 | − | 9.70222i | −1.41265 | − | 0.378519i | ||||
\(658\) | 2.59794 | + | 9.69565i | 0.101278 | + | 0.377976i | ||||
\(659\) | −3.78953 | + | 21.4915i | −0.147619 | + | 0.837190i | 0.817608 | + | 0.575776i | \(0.195300\pi\) |
−0.965227 | + | 0.261414i | \(0.915811\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −18.5449 | + | 22.1009i | −0.721313 | + | 0.859627i | −0.994758 | − | 0.102261i | \(-0.967392\pi\) |
0.273445 | + | 0.961888i | \(0.411837\pi\) | |||||||
\(662\) | −5.78201 | − | 4.04861i | −0.224724 | − | 0.157354i | ||||
\(663\) | 11.5970 | + | 24.8699i | 0.450391 | + | 0.965867i | ||||
\(664\) | −9.09326 | −0.352887 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 5.72824 | 0.221965 | ||||||||
\(667\) | 3.20279 | + | 6.86841i | 0.124013 | + | 0.265946i | ||||
\(668\) | −3.56998 | − | 2.49973i | −0.138127 | − | 0.0967174i | ||||
\(669\) | −12.5735 | + | 14.9845i | −0.486119 | + | 0.579334i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1.10487 | − | 6.26606i | 0.0426532 | − | 0.241898i | ||||
\(672\) | 1.02653 | + | 3.83105i | 0.0395991 | + | 0.147786i | ||||
\(673\) | 17.5916 | + | 4.71367i | 0.678108 | + | 0.181699i | 0.581405 | − | 0.813615i | \(-0.302503\pi\) |
0.0967037 | + | 0.995313i | \(0.469170\pi\) | |||||||
\(674\) | −3.69251 | − | 10.1451i | −0.142230 | − | 0.390774i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.24349 | + | 5.61789i | 0.124750 | + | 0.216073i | ||||
\(677\) | −10.7082 | + | 2.86925i | −0.411550 | + | 0.110274i | −0.458653 | − | 0.888616i | \(-0.651668\pi\) |
0.0471029 | + | 0.998890i | \(0.485001\pi\) | |||||||
\(678\) | 28.1995 | + | 40.2730i | 1.08299 | + | 1.54668i | ||||
\(679\) | −4.55176 | + | 3.81938i | −0.174680 | + | 0.146574i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 9.92170 | + | 56.2688i | 0.380200 | + | 2.15622i | ||||
\(682\) | −11.1876 | + | 5.21687i | −0.428396 | + | 0.199764i | ||||
\(683\) | 7.72261 | − | 7.72261i | 0.295498 | − | 0.295498i | −0.543750 | − | 0.839247i | \(-0.682996\pi\) |
0.839247 | + | 0.543750i | \(0.182996\pi\) | |||||||
\(684\) | −16.8471 | − | 12.5410i | −0.644165 | − | 0.479517i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 5.81587 | − | 15.9790i | 0.222051 | − | 0.610080i | ||||
\(687\) | −13.4356 | + | 19.1880i | −0.512600 | + | 0.732069i | ||||
\(688\) | −0.192221 | − | 2.19709i | −0.00732834 | − | 0.0837633i | ||||
\(689\) | 1.33072 | + | 1.58590i | 0.0506966 | + | 0.0604178i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 13.8084 | − | 23.9169i | 0.525296 | − | 0.909840i | −0.474270 | − | 0.880380i | \(-0.657288\pi\) |
0.999566 | − | 0.0294603i | \(-0.00937887\pi\) | |||||||
\(692\) | −3.86354 | + | 14.4189i | −0.146870 | + | 0.548125i | ||||
\(693\) | −8.90850 | − | 4.15410i | −0.338406 | − | 0.157801i | ||||
\(694\) | 28.0268 | − | 10.2009i | 1.06388 | − | 0.387222i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 2.36787 | + | 1.36709i | 0.0897538 | + | 0.0518194i | ||||
\(697\) | 26.7332 | − | 18.7188i | 1.01259 | − | 0.709024i | ||||
\(698\) | −2.80567 | + | 32.0689i | −0.106196 | + | 1.21383i | ||||
\(699\) | −29.1170 | − | 24.4321i | −1.10131 | − | 0.924106i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 0.0467761 | + | 0.0170251i | 0.00176671 | + | 0.000643029i | 0.342903 | − | 0.939371i | \(-0.388590\pi\) |
−0.341137 | + | 0.940014i | \(0.610812\pi\) | |||||||
\(702\) | 9.17475 | + | 9.17475i | 0.346279 | + | 0.346279i | ||||
\(703\) | 2.45963 | + | 4.56117i | 0.0927668 | + | 0.172028i | ||||
\(704\) | 1.43820i | 0.0542041i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −28.9405 | + | 5.10299i | −1.08919 | + | 0.192054i | ||||
\(707\) | −21.4342 | + | 1.87525i | −0.806117 | + | 0.0705261i | ||||
\(708\) | 3.64774 | + | 0.319136i | 0.137090 | + | 0.0119939i | ||||
\(709\) | 43.0910 | + | 7.59810i | 1.61832 | + | 0.285353i | 0.908139 | − | 0.418670i | \(-0.137504\pi\) |
0.710178 | + | 0.704023i | \(0.248615\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 56.2843 | − | 32.4957i | 2.11083 | − | 1.21869i | ||||
\(712\) | 7.12537 | − | 15.2804i | 0.267035 | − | 0.572658i | ||||
\(713\) | −28.1126 | + | 60.2877i | −1.05283 | + | 2.25779i | ||||
\(714\) | −13.2086 | + | 7.62597i | −0.494318 | + | 0.285395i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −12.0232 | − | 2.12001i | −0.449327 | − | 0.0792285i | ||||
\(717\) | −38.8401 | − | 3.39807i | −1.45051 | − | 0.126903i | ||||
\(718\) | −10.5105 | + | 0.919551i | −0.392249 | + | 0.0343173i | ||||
\(719\) | 1.53741 | − | 0.271088i | 0.0573359 | − | 0.0101099i | −0.144907 | − | 0.989445i | \(-0.546288\pi\) |
0.202243 | + | 0.979335i | \(0.435177\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 24.5220i | − | 0.913246i | ||||||
\(722\) | 2.75197 | − | 18.7996i | 0.102418 | − | 0.699650i | ||||
\(723\) | 20.0807 | + | 20.0807i | 0.746810 | + | 0.746810i | ||||
\(724\) | 4.98179 | + | 1.81322i | 0.185147 | + | 0.0673879i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 19.1310 | + | 16.0528i | 0.710019 | + | 0.595777i | ||||
\(727\) | 0.304933 | − | 3.48540i | 0.0113093 | − | 0.129266i | −0.988441 | − | 0.151605i | \(-0.951556\pi\) |
0.999750 | + | 0.0223389i | \(0.00711128\pi\) | |||||||
\(728\) | 2.96533 | − | 2.07635i | 0.109903 | − | 0.0769546i | ||||
\(729\) | 37.9311 | + | 21.8996i | 1.40486 | + | 0.811094i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 7.96968 | − | 2.90073i | 0.294769 | − | 0.107287i | ||||
\(732\) | −11.2113 | − | 5.22792i | −0.414382 | − | 0.193229i | ||||
\(733\) | 6.39525 | − | 23.8674i | 0.236214 | − | 0.881562i | −0.741384 | − | 0.671081i | \(-0.765830\pi\) |
0.977598 | − | 0.210481i | \(-0.0675030\pi\) | |||||||
\(734\) | 11.8927 | − | 20.5987i | 0.438966 | − | 0.760311i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.98169 | + | 5.93695i | 0.183628 | + | 0.218839i | ||||
\(737\) | −1.14158 | − | 13.0484i | −0.0420508 | − | 0.480643i | ||||
\(738\) | 23.4541 | − | 33.4959i | 0.863357 | − | 1.23300i | ||||
\(739\) | 8.36796 | − | 22.9908i | 0.307820 | − | 0.845729i | −0.685261 | − | 0.728298i | \(-0.740312\pi\) |
0.993081 | − | 0.117431i | \(-0.0374660\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −8.91951 | + | 29.7982i | −0.327666 | + | 1.09467i | ||||
\(742\) | −0.813641 | + | 0.813641i | −0.0298697 | + | 0.0298697i | ||||
\(743\) | −24.3474 | + | 11.3534i | −0.893221 | + | 0.416516i | −0.814353 | − | 0.580370i | \(-0.802908\pi\) |
−0.0788674 | + | 0.996885i | \(0.525130\pi\) | |||||||
\(744\) | 4.16744 | + | 23.6347i | 0.152786 | + | 0.866491i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 17.6508 | − | 14.8108i | 0.646241 | − | 0.542261i | ||||
\(747\) | −25.1306 | − | 35.8903i | −0.919482 | − | 1.31316i | ||||
\(748\) | −5.34212 | + | 1.43142i | −0.195327 | + | 0.0523377i | ||||
\(749\) | 4.78994 | + | 8.29642i | 0.175021 | + | 0.303145i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 9.12200 | + | 25.0625i | 0.332867 | + | 0.914544i | 0.987363 | + | 0.158478i | \(0.0506587\pi\) |
−0.654496 | + | 0.756066i | \(0.727119\pi\) | |||||||
\(752\) | 6.83532 | + | 1.83152i | 0.249259 | + | 0.0667886i | ||||
\(753\) | −13.2233 | − | 49.3501i | −0.481885 | − | 1.79842i | ||||
\(754\) | 0.433344 | − | 2.45761i | 0.0157814 | − | 0.0895010i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −4.63558 | + | 5.52446i | −0.168594 | + | 0.200923i | ||||
\(757\) | −24.3081 | − | 17.0207i | −0.883494 | − | 0.618629i | 0.0412795 | − | 0.999148i | \(-0.486857\pi\) |
−0.924773 | + | 0.380519i | \(0.875745\pi\) | |||||||
\(758\) | −6.50338 | − | 13.9465i | −0.236213 | − | 0.506561i | ||||
\(759\) | −31.1662 | −1.13126 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −23.8116 | −0.863171 | −0.431585 | − | 0.902072i | \(-0.642046\pi\) | ||||
−0.431585 | + | 0.902072i | \(0.642046\pi\) | |||||||
\(762\) | 11.5277 | + | 24.7212i | 0.417605 | + | 0.895556i | ||||
\(763\) | 10.0425 | + | 7.03185i | 0.363564 | + | 0.254570i | ||||
\(764\) | −5.63391 | + | 6.71423i | −0.203828 | + | 0.242912i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3.38711 | + | 19.2093i | −0.122381 | + | 0.694059i | ||||
\(767\) | −0.864990 | − | 3.22819i | −0.0312330 | − | 0.116563i | ||||
\(768\) | 2.70084 | + | 0.723689i | 0.0974583 | + | 0.0261139i | ||||
\(769\) | 2.36838 | + | 6.50706i | 0.0854059 | + | 0.234651i | 0.975042 | − | 0.222018i | \(-0.0712645\pi\) |
−0.889637 | + | 0.456669i | \(0.849042\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.58271 | − | 2.74134i | −0.0570000 | − | 0.0987269i | ||||
\(772\) | −9.41868 | + | 2.52373i | −0.338986 | + | 0.0908309i | ||||
\(773\) | −3.99704 | − | 5.70837i | −0.143764 | − | 0.205316i | 0.740812 | − | 0.671712i | \(-0.234441\pi\) |
−0.884576 | + | 0.466397i | \(0.845552\pi\) | |||||||
\(774\) | 8.14049 | − | 6.83068i | 0.292604 | − | 0.245524i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0.727407 | + | 4.12533i | 0.0261124 | + | 0.148091i | ||||
\(777\) | 4.27344 | − | 1.99274i | 0.153309 | − | 0.0714891i | ||||
\(778\) | −1.63858 | + | 1.63858i | −0.0587459 | + | 0.0587459i | ||||
\(779\) | 36.7424 | + | 4.29285i | 1.31643 | + | 0.153807i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.58623 | − | 18.0955i | 0.235674 | − | 0.647508i | ||||
\(782\) | −17.0943 | + | 24.4132i | −0.611292 | + | 0.873015i | ||||
\(783\) | 0.433297 | + | 4.95261i | 0.0154848 | + | 0.176992i | ||||
\(784\) | −3.20620 | − | 3.82100i | −0.114507 | − | 0.136464i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −21.0929 | + | 36.5340i | −0.752359 | + | 1.30312i | ||||
\(787\) | −13.6245 | + | 50.8474i | −0.485661 | + | 1.81251i | 0.0914027 | + | 0.995814i | \(0.470865\pi\) |
−0.577064 | + | 0.816699i | \(0.695802\pi\) | |||||||
\(788\) | −5.85325 | − | 2.72942i | −0.208514 | − | 0.0972314i | ||||
\(789\) | 36.7909 | − | 13.3908i | 1.30979 | − | 0.476724i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 21.5994 | + | 12.4704i | 0.767988 | + | 0.443398i | ||||
\(792\) | −5.67643 | + | 3.97468i | −0.201703 | + | 0.141234i | ||||
\(793\) | −0.984037 | + | 11.2476i | −0.0349442 | + | 0.399414i | ||||
\(794\) | −26.6157 | − | 22.3332i | −0.944557 | − | 0.792577i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 20.9233 | + | 7.61547i | 0.741608 | + | 0.269923i | ||||
\(797\) | 6.90768 | + | 6.90768i | 0.244683 | + | 0.244683i | 0.818784 | − | 0.574101i | \(-0.194649\pi\) |
−0.574101 | + | 0.818784i | \(0.694649\pi\) | |||||||
\(798\) | −16.9312 | − | 3.49520i | −0.599359 | − | 0.123729i | ||||
\(799\) | 27.2124i | 0.962705i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 80.0025 | − | 14.1066i | 2.82675 | − | 0.498432i | ||||
\(802\) | 7.69931 | − | 0.673602i | 0.271872 | − | 0.0237857i | ||||
\(803\) | −11.1467 | − | 0.975206i | −0.393357 | − | 0.0344143i | ||||
\(804\) | −25.0785 | − | 4.42201i | −0.884449 | − | 0.155952i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 18.9699 | − | 10.9523i | 0.668186 | − | 0.385777i | ||||
\(807\) | 4.50446 | − | 9.65985i | 0.158565 | − | 0.340043i | ||||
\(808\) | −6.41053 | + | 13.7474i | −0.225522 | + | 0.483633i | ||||
\(809\) | −18.2961 | + | 10.5632i | −0.643256 | + | 0.371384i | −0.785868 | − | 0.618395i | \(-0.787783\pi\) |
0.142612 | + | 0.989779i | \(0.454450\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 18.7536 | + | 3.30676i | 0.658527 | + | 0.116116i | 0.492918 | − | 0.870076i | \(-0.335930\pi\) |
0.165608 | + | 0.986192i | \(0.447041\pi\) | |||||||
\(812\) | 1.38176 | + | 0.120889i | 0.0484903 | + | 0.00424236i | ||||
\(813\) | 51.0785 | − | 4.46879i | 1.79140 | − | 0.156727i | ||||
\(814\) | 1.68383 | − | 0.296905i | 0.0590182 | − | 0.0104065i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 10.7524i | 0.376411i | ||||||||
\(817\) | 8.93443 | + | 3.54894i | 0.312576 | + | 0.124162i | ||||
\(818\) | 0.295879 | + | 0.295879i | 0.0103452 | + | 0.0103452i | ||||
\(819\) | 16.3903 | + | 5.96559i | 0.572724 | + | 0.208455i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −5.05370 | − | 4.24056i | −0.176375 | − | 0.147996i | 0.550326 | − | 0.834950i | \(-0.314503\pi\) |
−0.726702 | + | 0.686953i | \(0.758948\pi\) | |||||||
\(822\) | −0.00676803 | + | 0.0773589i | −0.000236062 | + | 0.00269820i | ||||
\(823\) | −35.0953 | + | 24.5740i | −1.22334 | + | 0.856595i | −0.993184 | − | 0.116558i | \(-0.962814\pi\) |
−0.230161 | + | 0.973153i | \(0.573925\pi\) | |||||||
\(824\) | −14.9716 | − | 8.64385i | −0.521560 | − | 0.301123i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.74553 | − | 0.635321i | 0.0607348 | − | 0.0221056i | ||||
\(827\) | −29.0326 | − | 13.5381i | −1.00956 | − | 0.470767i | −0.153782 | − | 0.988105i | \(-0.549145\pi\) |
−0.855782 | + | 0.517337i | \(0.826923\pi\) | |||||||
\(828\) | −9.66492 | + | 36.0700i | −0.335879 | + | 1.25352i | ||||
\(829\) | 9.06207 | − | 15.6960i | 0.314739 | − | 0.545144i | −0.664643 | − | 0.747161i | \(-0.731416\pi\) |
0.979382 | + | 0.202017i | \(0.0647497\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 14.0512 | + | 16.7456i | 0.487431 | + | 0.580898i | ||||
\(832\) | −0.222427 | − | 2.54235i | −0.00771126 | − | 0.0881401i | ||||
\(833\) | 11.0019 | − | 15.7123i | 0.381192 | − | 0.544398i | ||||
\(834\) | 21.6217 | − | 59.4051i | 0.748697 | − | 2.05703i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −5.60227 | − | 2.81324i | −0.193759 | − | 0.0972980i | ||||
\(837\) | −30.8565 | + | 30.8565i | −1.06656 | + | 1.06656i | ||||
\(838\) | 28.7667 | − | 13.4142i | 0.993731 | − | 0.463384i | ||||
\(839\) | 2.45773 | + | 13.9385i | 0.0848502 | + | 0.481210i | 0.997389 | + | 0.0722189i | \(0.0230080\pi\) |
−0.912539 | + | 0.408991i | \(0.865881\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −21.4828 | + | 18.0262i | −0.740786 | + | 0.621594i | ||||
\(842\) | 13.5515 | + | 19.3535i | 0.467014 | + | 0.666966i | ||||
\(843\) | 48.8853 | − | 13.0988i | 1.68370 | − | 0.451146i | ||||
\(844\) | 3.70184 | + | 6.41178i | 0.127423 | + | 0.220703i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 11.6616 | + | 32.0401i | 0.400935 | + | 1.10156i | ||||
\(847\) | 12.2374 | + | 3.27901i | 0.420483 | + | 0.112668i | ||||
\(848\) | 0.209955 | + | 0.783562i | 0.00720988 | + | 0.0269076i | ||||
\(849\) | 7.58004 | − | 42.9885i | 0.260146 | − | 1.47536i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 5.92250 | − | 7.05816i | 0.203021 | − | 0.241951i | ||||
\(852\) | −30.6681 | − | 21.4740i | −1.05067 | − | 0.735689i | ||||
\(853\) | 16.7158 | + | 35.8471i | 0.572338 | + | 1.22738i | 0.953085 | + | 0.302703i | \(0.0978890\pi\) |
−0.380747 | + | 0.924679i | \(0.624333\pi\) | |||||||
\(854\) | −6.27542 | −0.214740 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 6.75371 | 0.230837 | ||||||||
\(857\) | 6.95445 | + | 14.9139i | 0.237560 | + | 0.509448i | 0.988555 | − | 0.150859i | \(-0.0482039\pi\) |
−0.750996 | + | 0.660307i | \(0.770426\pi\) | |||||||
\(858\) | 8.40678 | + | 5.88649i | 0.287003 | + | 0.200961i | ||||
\(859\) | −16.7847 | + | 20.0033i | −0.572687 | + | 0.682502i | −0.972180 | − | 0.234234i | \(-0.924742\pi\) |
0.399493 | + | 0.916736i | \(0.369186\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 5.84492 | − | 33.1482i | 0.199194 | − | 1.12969i | ||||
\(862\) | −1.38982 | − | 5.18688i | −0.0473375 | − | 0.176666i | ||||
\(863\) | −6.90485 | − | 1.85015i | −0.235044 | − | 0.0629798i | 0.139374 | − | 0.990240i | \(-0.455491\pi\) |
−0.374418 | + | 0.927260i | \(0.622158\pi\) | |||||||
\(864\) | 1.73888 | + | 4.77754i | 0.0591580 | + | 0.162535i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 8.63419 | + | 14.9548i | 0.293402 | + | 0.508186i | ||||
\(867\) | 5.97490 | − | 1.60097i | 0.202918 | − | 0.0543718i | ||||
\(868\) | 6.98317 | + | 9.97300i | 0.237024 | + | 0.338506i | ||||
\(869\) | 14.8606 | − | 12.4695i | 0.504111 | − | 0.422999i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.03603 | + | 22.8895i | 0.136756 | + | 0.775581i | ||||
\(872\) | 7.83314 | − | 3.65265i | 0.265264 | − | 0.123694i | ||||
\(873\) | −14.2720 | + | 14.2720i | −0.483034 | + | 0.483034i | ||||
\(874\) | −32.8711 | + | 7.79220i | −1.11188 | + | 0.263575i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −7.44028 | + | 20.4420i | −0.251384 | + | 0.690672i | ||||
\(877\) | 19.7090 | − | 28.1474i | 0.665527 | − | 0.950470i | −0.334441 | − | 0.942417i | \(-0.608548\pi\) |
0.999968 | − | 0.00805369i | \(-0.00256360\pi\) | |||||||
\(878\) | −2.43539 | − | 27.8367i | −0.0821906 | − | 0.939443i | ||||
\(879\) | −0.0752318 | − | 0.0896577i | −0.00253750 | − | 0.00302408i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −11.3189 | + | 19.6048i | −0.381342 | + | 0.660503i | −0.991254 | − | 0.131965i | \(-0.957871\pi\) |
0.609912 | + | 0.792469i | \(0.291205\pi\) | |||||||
\(882\) | 6.22031 | − | 23.2145i | 0.209449 | − | 0.781674i | ||||
\(883\) | 3.22829 | + | 1.50538i | 0.108641 | + | 0.0506599i | 0.476179 | − | 0.879348i | \(-0.342022\pi\) |
−0.367538 | + | 0.930008i | \(0.619799\pi\) | |||||||
\(884\) | 9.22206 | − | 3.35656i | 0.310172 | − | 0.112893i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −23.6639 | − | 13.6624i | −0.795006 | − | 0.458997i | ||||
\(887\) | 41.9140 | − | 29.3485i | 1.40734 | − | 0.985427i | 0.410030 | − | 0.912072i | \(-0.365518\pi\) |
0.997306 | − | 0.0733549i | \(-0.0233706\pi\) | |||||||
\(888\) | 0.289721 | − | 3.31153i | 0.00972240 | − | 0.111128i | ||||
\(889\) | 10.6001 | + | 8.89455i | 0.355516 | + | 0.298314i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.322957 | + | 0.117547i | 0.0108195 | + | 0.00393796i | ||||
\(892\) | 4.94672 | + | 4.94672i | 0.165628 | + | 0.165628i | ||||
\(893\) | −20.5049 | + | 23.0433i | −0.686170 | + | 0.771115i | ||||
\(894\) | − | 25.3582i | − | 0.848104i | ||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 1.39691 | − | 0.246313i | 0.0466676 | − | 0.00822875i | ||||
\(897\) | 55.0935 | − | 4.82006i | 1.83952 | − | 0.160937i | ||||
\(898\) | 32.5825 | + | 2.85060i | 1.08729 | + | 0.0951257i | ||||
\(899\) | 8.26544 | + | 1.45742i | 0.275668 | + | 0.0486077i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −2.70154 | + | 1.55974i | −0.0900014 | + | 0.0519623i | ||||
\(902\) | 5.15824 | − | 11.0619i | 0.171750 | − | 0.368320i | ||||
\(903\) | 3.69680 | − | 7.92781i | 0.123022 | − | 0.263821i | ||||
\(904\) | 15.2274 | − | 8.79152i | 0.506454 | − | 0.292402i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −27.8286 | − | 4.90693i | −0.924542 | − | 0.163022i | ||||
\(907\) | 45.8602 | + | 4.01225i | 1.52276 | + | 0.133224i | 0.817585 | − | 0.575807i | \(-0.195312\pi\) |
0.705177 | + | 0.709032i | \(0.250868\pi\) | |||||||
\(908\) | 20.3566 | − | 1.78097i | 0.675556 | − | 0.0591035i | ||||
\(909\) | −71.9764 | + | 12.6914i | −2.38731 | + | 0.420946i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 24.0419i | − | 0.796543i | −0.917268 | − | 0.398271i | \(-0.869610\pi\) | ||
0.917268 | − | 0.398271i | \(-0.130390\pi\) | |||||||
\(912\) | −8.10211 | + | 9.10512i | −0.268288 | + | 0.301501i | ||||
\(913\) | −9.24747 | − | 9.24747i | −0.306047 | − | 0.306047i | ||||
\(914\) | −19.9376 | − | 7.25670i | −0.659478 | − | 0.240030i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 6.41748 | + | 5.38490i | 0.212039 | + | 0.177922i | ||||
\(917\) | −1.86520 | + | 21.3193i | −0.0615942 | + | 0.704025i | ||||
\(918\) | −16.0153 | + | 11.2140i | −0.528583 | + | 0.370117i | ||||
\(919\) | 29.5441 | + | 17.0573i | 0.974569 | + | 0.562668i | 0.900626 | − | 0.434595i | \(-0.143108\pi\) |
0.0739428 | + | 0.997262i | \(0.476442\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 67.9384 | − | 24.7276i | 2.23865 | − | 0.814801i | ||||
\(922\) | 23.1561 | + | 10.7979i | 0.762604 | + | 0.355608i | ||||
\(923\) | −8.84411 | + | 33.0067i | −0.291107 | + | 1.08643i | ||||
\(924\) | −2.85208 | + | 4.93995i | −0.0938266 | + | 0.162512i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −4.17936 | − | 4.98076i | −0.137342 | − | 0.163678i | ||||
\(927\) | −7.25983 | − | 82.9802i | −0.238444 | − | 2.72543i | ||||
\(928\) | 0.560870 | − | 0.801006i | 0.0184115 | − | 0.0262943i | ||||
\(929\) | 11.7426 | − | 32.2626i | 0.385263 | − | 1.05850i | −0.583845 | − | 0.811865i | \(-0.698452\pi\) |
0.969108 | − | 0.246637i | \(-0.0793254\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 21.1557 | − | 5.01503i | 0.693351 | − | 0.164361i | ||||
\(932\) | −9.61218 | + | 9.61218i | −0.314857 | + | 0.314857i | ||||
\(933\) | −77.5912 | + | 36.1814i | −2.54022 | + | 1.18452i | ||||
\(934\) | 0.278490 | + | 1.57939i | 0.00911247 | + | 0.0516794i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 9.41971 | − | 7.90408i | 0.307893 | − | 0.258353i | ||||
\(937\) | −6.34092 | − | 9.05577i | −0.207149 | − | 0.295839i | 0.702112 | − | 0.712067i | \(-0.252241\pi\) |
−0.909260 | + | 0.416228i | \(0.863352\pi\) | |||||||
\(938\) | −12.4783 | + | 3.34355i | −0.407431 | + | 0.109171i | ||||
\(939\) | 10.2033 | + | 17.6727i | 0.332973 | + | 0.576725i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −11.5719 | − | 31.7935i | −0.377233 | − | 1.03644i | −0.972498 | − | 0.232910i | \(-0.925175\pi\) |
0.595265 | − | 0.803529i | \(-0.297047\pi\) | |||||||
\(942\) | 38.6762 | + | 10.3633i | 1.26014 | + | 0.337654i | ||||
\(943\) | −17.0232 | − | 63.5313i | −0.554351 | − | 2.06886i | ||||
\(944\) | 0.227402 | − | 1.28966i | 0.00740130 | − | 0.0419748i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.03887 | − | 2.42983i | 0.0662894 | − | 0.0790006i | ||||
\(947\) | −17.3322 | − | 12.1362i | −0.563222 | − | 0.394372i | 0.257005 | − | 0.966410i | \(-0.417264\pi\) |
−0.820227 | + | 0.572038i | \(0.806153\pi\) | |||||||
\(948\) | −15.9392 | − | 34.1818i | −0.517683 | − | 1.11017i | ||||
\(949\) | 19.8551 | 0.644525 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 55.4445 | 1.79791 | ||||||||
\(952\) | 2.30525 | + | 4.94362i | 0.0747135 | + | 0.160224i | ||||
\(953\) | 49.4613 | + | 34.6331i | 1.60221 | + | 1.12188i | 0.920843 | + | 0.389932i | \(0.127502\pi\) |
0.681364 | + | 0.731945i | \(0.261387\pi\) | |||||||
\(954\) | −2.51241 | + | 2.99417i | −0.0813422 | + | 0.0969398i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −2.42131 | + | 13.7319i | −0.0783107 | + | 0.444122i | ||||
\(957\) | 1.01775 | + | 3.79830i | 0.0328992 | + | 0.122782i | ||||
\(958\) | −9.38598 | − | 2.51497i | −0.303247 | − | 0.0812549i | ||||
\(959\) | 0.0134735 | + | 0.0370181i | 0.000435081 | + | 0.00119538i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 21.3347 | + | 36.9527i | 0.688215 | + | 1.19202i | ||||
\(962\) | −2.93064 | + | 0.785264i | −0.0944878 | + | 0.0253179i | ||||
\(963\) | 18.6649 | + | 26.6563i | 0.601469 | + | 0.858986i | ||||
\(964\) | 7.78023 | − | 6.52839i | 0.250584 | − | 0.210265i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 5.33769 | + | 30.2716i | 0.171737 | + | 0.973971i | ||||
\(967\) | −2.69102 | + | 1.25484i | −0.0865372 | + | 0.0403530i | −0.465405 | − | 0.885098i | \(-0.654091\pi\) |
0.378868 | + | 0.925451i | \(0.376314\pi\) | |||||||
\(968\) | 6.31559 | − | 6.31559i | 0.202991 | − | 0.202991i | ||||
\(969\) | −41.8845 | − | 21.0327i | −1.34552 | − | 0.675669i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 15.9653 | − | 43.8642i | 0.512350 | − | 1.40767i | −0.366431 | − | 0.930445i | \(-0.619420\pi\) |
0.878781 | − | 0.477225i | \(-0.158357\pi\) | |||||||
\(972\) | 9.13170 | − | 13.0414i | 0.292899 | − | 0.418304i | ||||
\(973\) | −2.79509 | − | 31.9480i | −0.0896065 | − | 1.02421i | ||||
\(974\) | −10.9636 | − | 13.0659i | −0.351297 | − | 0.418660i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.21205 | + | 3.83138i | −0.0708059 | + | 0.122639i | ||||
\(977\) | 1.90288 | − | 7.10166i | 0.0608786 | − | 0.227202i | −0.928783 | − | 0.370624i | \(-0.879144\pi\) |
0.989662 | + | 0.143422i | \(0.0458105\pi\) | |||||||
\(978\) | 53.3088 | + | 24.8583i | 1.70463 | + | 0.794881i | ||||
\(979\) | 22.7858 | − | 8.29334i | 0.728236 | − | 0.265056i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 36.0648 | + | 20.8220i | 1.15146 | + | 0.664796i | ||||
\(982\) | 23.9085 | − | 16.7409i | 0.762951 | − | 0.534224i | ||||
\(983\) | 0.437206 | − | 4.99729i | 0.0139447 | − | 0.159389i | −0.986030 | − | 0.166571i | \(-0.946731\pi\) |
0.999974 | + | 0.00718203i | \(0.00228613\pi\) | |||||||
\(984\) | −18.1779 | − | 15.2531i | −0.579491 | − | 0.486251i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 3.53353 | + | 1.28610i | 0.112530 | + | 0.0409577i | ||||
\(987\) | 19.8460 | + | 19.8460i | 0.631706 | + | 0.631706i | ||||
\(988\) | 10.3384 | + | 4.10664i | 0.328909 | + | 0.130650i | ||||
\(989\) | − | 17.0928i | − | 0.543520i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 12.1545 | − | 2.14316i | 0.386099 | − | 0.0680797i | 0.0227704 | − | 0.999741i | \(-0.492751\pi\) |
0.363329 | + | 0.931661i | \(0.381640\pi\) | |||||||
\(992\) | 8.55042 | − | 0.748065i | 0.271476 | − | 0.0237511i | ||||
\(993\) | −19.6614 | − | 1.72015i | −0.623936 | − | 0.0545873i | ||||
\(994\) | −18.7041 | − | 3.29803i | −0.593257 | − | 0.104607i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −22.0194 | + | 12.7129i | −0.697712 | + | 0.402824i | ||||
\(997\) | 2.47307 | − | 5.30352i | 0.0783229 | − | 0.167964i | −0.863247 | − | 0.504782i | \(-0.831573\pi\) |
0.941570 | + | 0.336818i | \(0.109351\pi\) | |||||||
\(998\) | −11.1195 | + | 23.8459i | −0.351983 | + | 0.754830i | ||||
\(999\) | 5.23453 | − | 3.02215i | 0.165613 | − | 0.0956167i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 950.2.bb.c.243.1 | ✓ | 72 | |
5.2 | odd | 4 | inner | 950.2.bb.c.357.4 | yes | 72 | |
5.3 | odd | 4 | inner | 950.2.bb.c.357.3 | yes | 72 | |
5.4 | even | 2 | inner | 950.2.bb.c.243.6 | yes | 72 | |
19.14 | odd | 18 | inner | 950.2.bb.c.793.4 | yes | 72 | |
95.14 | odd | 18 | inner | 950.2.bb.c.793.3 | yes | 72 | |
95.33 | even | 36 | inner | 950.2.bb.c.907.6 | yes | 72 | |
95.52 | even | 36 | inner | 950.2.bb.c.907.1 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bb.c.243.1 | ✓ | 72 | 1.1 | even | 1 | trivial | |
950.2.bb.c.243.6 | yes | 72 | 5.4 | even | 2 | inner | |
950.2.bb.c.357.3 | yes | 72 | 5.3 | odd | 4 | inner | |
950.2.bb.c.357.4 | yes | 72 | 5.2 | odd | 4 | inner | |
950.2.bb.c.793.3 | yes | 72 | 95.14 | odd | 18 | inner | |
950.2.bb.c.793.4 | yes | 72 | 19.14 | odd | 18 | inner | |
950.2.bb.c.907.1 | yes | 72 | 95.52 | even | 36 | inner | |
950.2.bb.c.907.6 | yes | 72 | 95.33 | even | 36 | inner |