Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [810,3,Mod(269,810)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(810, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("810.269");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 810 = 2 \cdot 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 810.j (of order \(6\), degree \(2\), not 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: | \(22.0709014132\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 269.10 | ||
Character | \(\chi\) | \(=\) | 810.269 |
Dual form | 810.3.j.g.539.10 |
$q$-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 \(\left(\mathbb{Z}/810\mathbb{Z}\right)^\times\).
\(n\) | \(487\) | \(731\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | − | 1.22474i | 0.353553 | − | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.00000 | − | 1.73205i | −0.250000 | − | 0.433013i | ||||
\(5\) | −3.23698 | + | 3.81077i | −0.647395 | + | 0.762154i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −8.15650 | − | 4.70916i | −1.16521 | − | 0.672737i | −0.212666 | − | 0.977125i | \(-0.568215\pi\) |
−0.952548 | + | 0.304388i | \(0.901548\pi\) | |||||||
\(8\) | −2.82843 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.37833 | + | 6.65909i | 0.237833 | + | 0.665909i | ||||
\(11\) | 2.03913 | + | 1.17729i | 0.185375 | + | 0.107027i | 0.589816 | − | 0.807538i | \(-0.299200\pi\) |
−0.404440 | + | 0.914564i | \(0.632534\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.33223 | + | 0.769165i | −0.102479 | + | 0.0591665i | −0.550364 | − | 0.834925i | \(-0.685511\pi\) |
0.447884 | + | 0.894092i | \(0.352178\pi\) | |||||||
\(14\) | −11.5350 | + | 6.65975i | −0.823931 | + | 0.475697i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.00000 | + | 3.46410i | −0.125000 | + | 0.216506i | ||||
\(17\) | 11.0873 | 0.652192 | 0.326096 | − | 0.945337i | \(-0.394267\pi\) | ||||
0.326096 | + | 0.945337i | \(0.394267\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 7.09220 | 0.373274 | 0.186637 | − | 0.982429i | \(-0.440241\pi\) | ||||
0.186637 | + | 0.982429i | \(0.440241\pi\) | |||||||
\(20\) | 9.83743 | + | 1.79584i | 0.491871 | + | 0.0897918i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.88377 | − | 1.66494i | 0.131080 | − | 0.0756792i | ||||
\(23\) | 4.09795 | + | 7.09786i | 0.178172 | + | 0.308603i | 0.941254 | − | 0.337698i | \(-0.109648\pi\) |
−0.763083 | + | 0.646301i | \(0.776315\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.04396 | − | 24.6708i | −0.161758 | − | 0.986830i | ||||
\(26\) | 2.17553i | 0.0836741i | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 18.8366i | 0.672737i | ||||||||
\(29\) | 15.5447 | + | 8.97476i | 0.536025 | + | 0.309474i | 0.743467 | − | 0.668773i | \(-0.233180\pi\) |
−0.207441 | + | 0.978247i | \(0.566514\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 29.3583 | + | 50.8500i | 0.947041 | + | 1.64032i | 0.751613 | + | 0.659605i | \(0.229276\pi\) |
0.195428 | + | 0.980718i | \(0.437390\pi\) | |||||||
\(32\) | 2.82843 | + | 4.89898i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 7.83988 | − | 13.5791i | 0.230585 | − | 0.399384i | ||||
\(35\) | 44.3479 | − | 15.8391i | 1.26708 | − | 0.452546i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 20.7943i | 0.562007i | 0.959707 | + | 0.281004i | \(0.0906673\pi\) | ||||
−0.959707 | + | 0.281004i | \(0.909333\pi\) | |||||||
\(38\) | 5.01495 | − | 8.68614i | 0.131972 | − | 0.228583i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 9.15555 | − | 10.7785i | 0.228889 | − | 0.269462i | ||||
\(41\) | 42.3552 | − | 24.4538i | 1.03305 | − | 0.596433i | 0.115195 | − | 0.993343i | \(-0.463251\pi\) |
0.917858 | + | 0.396909i | \(0.129917\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.07880 | − | 1.77754i | −0.0715999 | − | 0.0413382i | 0.463773 | − | 0.885954i | \(-0.346495\pi\) |
−0.535373 | + | 0.844616i | \(0.679829\pi\) | |||||||
\(44\) | − | 4.70917i | − | 0.107027i | ||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 11.5908 | 0.251973 | ||||||||
\(47\) | 34.8853 | − | 60.4231i | 0.742241 | − | 1.28560i | −0.209232 | − | 0.977866i | \(-0.567096\pi\) |
0.951473 | − | 0.307733i | \(-0.0995703\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 19.8523 | + | 34.3852i | 0.405149 | + | 0.701739i | ||||
\(50\) | −33.0749 | − | 12.4920i | −0.661498 | − | 0.249841i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.66447 | + | 1.53833i | 0.0512397 | + | 0.0295833i | ||||
\(53\) | 69.0100 | 1.30208 | 0.651038 | − | 0.759045i | \(-0.274334\pi\) | ||||
0.651038 | + | 0.759045i | \(0.274334\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −11.0870 | + | 3.95979i | −0.201582 | + | 0.0719962i | ||||
\(56\) | 23.0701 | + | 13.3195i | 0.411965 | + | 0.237848i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 21.9836 | − | 12.6922i | 0.379027 | − | 0.218831i | ||||
\(59\) | −34.0732 | + | 19.6721i | −0.577511 | + | 0.333426i | −0.760144 | − | 0.649755i | \(-0.774871\pi\) |
0.182633 | + | 0.983181i | \(0.441538\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −57.8340 | + | 100.172i | −0.948099 | + | 1.64216i | −0.198675 | + | 0.980065i | \(0.563664\pi\) |
−0.749424 | + | 0.662091i | \(0.769669\pi\) | |||||||
\(62\) | 83.0377 | 1.33932 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.00000 | 0.125000 | ||||||||
\(65\) | 1.38130 | − | 7.56661i | 0.0212507 | − | 0.116409i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 88.8111 | − | 51.2751i | 1.32554 | − | 0.765300i | 0.340933 | − | 0.940088i | \(-0.389257\pi\) |
0.984606 | + | 0.174788i | \(0.0559239\pi\) | |||||||
\(68\) | −11.0873 | − | 19.2037i | −0.163048 | − | 0.282407i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 11.9598 | − | 65.5148i | 0.170855 | − | 0.935926i | ||||
\(71\) | 102.667i | 1.44601i | 0.690842 | + | 0.723006i | \(0.257240\pi\) | ||||
−0.690842 | + | 0.723006i | \(0.742760\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 120.613i | 1.65223i | 0.563503 | + | 0.826114i | \(0.309453\pi\) | ||||
−0.563503 | + | 0.826114i | \(0.690547\pi\) | |||||||
\(74\) | 25.4677 | + | 14.7038i | 0.344158 | + | 0.198700i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −7.09220 | − | 12.2841i | −0.0933185 | − | 0.161632i | ||||
\(77\) | −11.0881 | − | 19.2052i | −0.144001 | − | 0.249418i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 9.13011 | − | 15.8138i | 0.115571 | − | 0.200175i | −0.802437 | − | 0.596737i | \(-0.796464\pi\) |
0.918008 | + | 0.396562i | \(0.129797\pi\) | |||||||
\(80\) | −6.72695 | − | 18.8348i | −0.0840868 | − | 0.235435i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | − | 69.1657i | − | 0.843484i | ||||||
\(83\) | 80.9703 | − | 140.245i | 0.975546 | − | 1.68970i | 0.297426 | − | 0.954745i | \(-0.403872\pi\) |
0.678120 | − | 0.734951i | \(-0.262795\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −35.8892 | + | 42.2510i | −0.422226 | + | 0.497071i | ||||
\(86\) | −4.35408 | + | 2.51383i | −0.0506288 | + | 0.0292305i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −5.76753 | − | 3.32989i | −0.0655401 | − | 0.0378396i | ||||
\(89\) | 88.2337i | 0.991390i | 0.868497 | + | 0.495695i | \(0.165087\pi\) | ||||
−0.868497 | + | 0.495695i | \(0.834913\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 14.4885 | 0.159214 | ||||||||
\(92\) | 8.19590 | − | 14.1957i | 0.0890859 | − | 0.154301i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −49.3353 | − | 85.4512i | −0.524844 | − | 0.909056i | ||||
\(95\) | −22.9573 | + | 27.0268i | −0.241656 | + | 0.284492i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −121.781 | − | 70.3100i | −1.25547 | − | 0.724846i | −0.283279 | − | 0.959037i | \(-0.591422\pi\) |
−0.972190 | + | 0.234192i | \(0.924756\pi\) | |||||||
\(98\) | 56.1508 | 0.572968 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −38.6870 | + | 31.6751i | −0.386870 | + | 0.316751i | ||||
\(101\) | 47.6060 | + | 27.4854i | 0.471347 | + | 0.272132i | 0.716803 | − | 0.697275i | \(-0.245604\pi\) |
−0.245456 | + | 0.969408i | \(0.578938\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −12.3470 | + | 7.12857i | −0.119874 | + | 0.0692094i | −0.558738 | − | 0.829344i | \(-0.688714\pi\) |
0.438864 | + | 0.898554i | \(0.355381\pi\) | |||||||
\(104\) | 3.76812 | − | 2.17553i | 0.0362320 | − | 0.0209185i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 48.7974 | − | 84.5196i | 0.460353 | − | 0.797355i | ||||
\(107\) | −81.9655 | −0.766033 | −0.383017 | − | 0.923741i | \(-0.625115\pi\) | ||||
−0.383017 | + | 0.923741i | \(0.625115\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −112.498 | −1.03209 | −0.516044 | − | 0.856562i | \(-0.672596\pi\) | ||||
−0.516044 | + | 0.856562i | \(0.672596\pi\) | |||||||
\(110\) | −2.98997 | + | 16.3788i | −0.0271815 | + | 0.148898i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 32.6260 | − | 18.8366i | 0.291304 | − | 0.168184i | ||||
\(113\) | 44.9017 | + | 77.7720i | 0.397360 | + | 0.688248i | 0.993399 | − | 0.114707i | \(-0.0365930\pi\) |
−0.596039 | + | 0.802955i | \(0.703260\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −40.3133 | − | 7.35925i | −0.350550 | − | 0.0639935i | ||||
\(116\) | − | 35.8990i | − | 0.309474i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 55.6412i | 0.471536i | ||||||||
\(119\) | −90.4332 | − | 52.2116i | −0.759943 | − | 0.438753i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −57.7280 | − | 99.9878i | −0.477091 | − | 0.826345i | ||||
\(122\) | 81.7897 | + | 141.664i | 0.670407 | + | 1.16118i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 58.7165 | − | 101.700i | 0.473520 | − | 0.820161i | ||||
\(125\) | 107.105 | + | 64.4481i | 0.856839 | + | 0.515585i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 88.3594i | − | 0.695743i | −0.937542 | − | 0.347872i | \(-0.886905\pi\) | ||
0.937542 | − | 0.347872i | \(-0.113095\pi\) | |||||||
\(128\) | 5.65685 | − | 9.79796i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −8.29044 | − | 7.04213i | −0.0637726 | − | 0.0541702i | ||||
\(131\) | 150.462 | − | 86.8691i | 1.14856 | − | 0.663123i | 0.200026 | − | 0.979791i | \(-0.435897\pi\) |
0.948537 | + | 0.316667i | \(0.102564\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −57.8475 | − | 33.3983i | −0.434944 | − | 0.251115i | ||||
\(134\) | − | 145.028i | − | 1.08230i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −31.3595 | −0.230585 | ||||||||
\(137\) | 54.4790 | − | 94.3604i | 0.397657 | − | 0.688762i | −0.595779 | − | 0.803148i | \(-0.703157\pi\) |
0.993436 | + | 0.114386i | \(0.0364900\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 66.6557 | + | 115.451i | 0.479537 | + | 0.830583i | 0.999725 | − | 0.0234692i | \(-0.00747116\pi\) |
−0.520187 | + | 0.854052i | \(0.674138\pi\) | |||||||
\(140\) | −71.7821 | − | 60.9737i | −0.512729 | − | 0.435527i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 125.741 | + | 72.5964i | 0.885498 | + | 0.511242i | ||||
\(143\) | −3.62213 | −0.0253296 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −84.5187 | + | 30.1864i | −0.582888 | + | 0.208182i | ||||
\(146\) | 147.720 | + | 85.2860i | 1.01178 | + | 0.584151i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 36.0167 | − | 20.7943i | 0.243356 | − | 0.140502i | ||||
\(149\) | 107.431 | − | 62.0253i | 0.721013 | − | 0.416277i | −0.0941124 | − | 0.995562i | \(-0.530001\pi\) |
0.815125 | + | 0.579285i | \(0.196668\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −6.81915 | + | 11.8111i | −0.0451600 | + | 0.0782193i | −0.887722 | − | 0.460380i | \(-0.847713\pi\) |
0.842562 | + | 0.538600i | \(0.181046\pi\) | |||||||
\(152\) | −20.0598 | −0.131972 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −31.3619 | −0.203649 | ||||||||
\(155\) | −288.810 | − | 52.7226i | −1.86329 | − | 0.340146i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 213.175 | − | 123.077i | 1.35780 | − | 0.783929i | 0.368476 | − | 0.929637i | \(-0.379880\pi\) |
0.989328 | + | 0.145709i | \(0.0465462\pi\) | |||||||
\(158\) | −12.9119 | − | 22.3641i | −0.0817210 | − | 0.141545i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −27.8244 | − | 5.07939i | −0.173903 | − | 0.0317462i | ||||
\(161\) | − | 77.1916i | − | 0.479451i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 56.4039i | − | 0.346036i | −0.984919 | − | 0.173018i | \(-0.944648\pi\) | ||
0.984919 | − | 0.173018i | \(-0.0553519\pi\) | |||||||
\(164\) | −84.7103 | − | 48.9075i | −0.516527 | − | 0.298217i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −114.509 | − | 198.336i | −0.689815 | − | 1.19480i | ||||
\(167\) | 49.6876 | + | 86.0614i | 0.297530 | + | 0.515338i | 0.975570 | − | 0.219687i | \(-0.0705037\pi\) |
−0.678040 | + | 0.735025i | \(0.737170\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −83.3168 | + | 144.309i | −0.492999 | + | 0.853899i | ||||
\(170\) | 26.3692 | + | 73.8311i | 0.155113 | + | 0.434301i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 7.11018i | 0.0413382i | ||||||||
\(173\) | −142.790 | + | 247.320i | −0.825378 | + | 1.42960i | 0.0762517 | + | 0.997089i | \(0.475705\pi\) |
−0.901630 | + | 0.432508i | \(0.857629\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −83.1939 | + | 220.271i | −0.475394 | + | 1.25869i | ||||
\(176\) | −8.15652 | + | 4.70917i | −0.0463439 | + | 0.0267566i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 108.064 | + | 62.3907i | 0.607100 | + | 0.350509i | ||||
\(179\) | 180.570i | 1.00877i | 0.863479 | + | 0.504385i | \(0.168281\pi\) | ||||
−0.863479 | + | 0.504385i | \(0.831719\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 87.7217 | 0.484650 | 0.242325 | − | 0.970195i | \(-0.422090\pi\) | ||||
0.242325 | + | 0.970195i | \(0.422090\pi\) | |||||||
\(182\) | 10.2449 | − | 17.7447i | 0.0562907 | − | 0.0974983i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −11.5908 | − | 20.0758i | −0.0629932 | − | 0.109107i | ||||
\(185\) | −79.2422 | − | 67.3106i | −0.428336 | − | 0.363841i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 22.6084 | + | 13.0529i | 0.120900 | + | 0.0698018i | ||||
\(188\) | −139.541 | −0.742241 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 16.8676 | + | 47.2276i | 0.0887770 | + | 0.248567i | ||||
\(191\) | 53.6132 | + | 30.9536i | 0.280698 | + | 0.162061i | 0.633739 | − | 0.773547i | \(-0.281519\pi\) |
−0.353042 | + | 0.935608i | \(0.614853\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −194.664 | + | 112.389i | −1.00862 | + | 0.582329i | −0.910788 | − | 0.412874i | \(-0.864525\pi\) |
−0.0978350 | + | 0.995203i | \(0.531192\pi\) | |||||||
\(194\) | −172.224 | + | 99.4334i | −0.887751 | + | 0.512543i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 39.7046 | − | 68.7704i | 0.202575 | − | 0.350870i | ||||
\(197\) | −260.281 | −1.32122 | −0.660612 | − | 0.750728i | \(-0.729703\pi\) | ||||
−0.660612 | + | 0.750728i | \(0.729703\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −27.2102 | −0.136735 | −0.0683673 | − | 0.997660i | \(-0.521779\pi\) | ||||
−0.0683673 | + | 0.997660i | \(0.521779\pi\) | |||||||
\(200\) | 11.4380 | + | 69.7794i | 0.0571902 | + | 0.348897i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 67.3251 | − | 38.8702i | 0.333293 | − | 0.192427i | ||||
\(203\) | −84.5271 | − | 146.405i | −0.416390 | − | 0.721208i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −43.9150 | + | 240.562i | −0.214219 | + | 1.17347i | ||||
\(206\) | 20.1626i | 0.0978769i | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 6.15332i | − | 0.0295833i | ||||||
\(209\) | 14.4619 | + | 8.34960i | 0.0691958 | + | 0.0399502i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −61.2522 | − | 106.092i | −0.290295 | − | 0.502805i | 0.683585 | − | 0.729871i | \(-0.260420\pi\) |
−0.973879 | + | 0.227066i | \(0.927087\pi\) | |||||||
\(212\) | −69.0100 | − | 119.529i | −0.325519 | − | 0.563815i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −57.9584 | + | 100.387i | −0.270834 | + | 0.469098i | ||||
\(215\) | 16.7398 | − | 5.97872i | 0.0778596 | − | 0.0278080i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − | 553.011i | − | 2.54844i | ||||||
\(218\) | −79.5479 | + | 137.781i | −0.364899 | + | 0.632023i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 17.9456 | + | 15.2435i | 0.0815708 | + | 0.0692885i | ||||
\(221\) | −14.7708 | + | 8.52793i | −0.0668363 | + | 0.0385879i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 239.237 | + | 138.123i | 1.07281 | + | 0.619388i | 0.928948 | − | 0.370210i | \(-0.120714\pi\) |
0.143863 | + | 0.989598i | \(0.454048\pi\) | |||||||
\(224\) | − | 53.2780i | − | 0.237848i | ||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 127.001 | 0.561952 | ||||||||
\(227\) | −1.35387 | + | 2.34497i | −0.00596417 | + | 0.0103302i | −0.868992 | − | 0.494826i | \(-0.835232\pi\) |
0.863028 | + | 0.505156i | \(0.168565\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 104.818 | + | 181.550i | 0.457720 | + | 0.792795i | 0.998840 | − | 0.0481507i | \(-0.0153328\pi\) |
−0.541120 | + | 0.840946i | \(0.681999\pi\) | |||||||
\(230\) | −37.5190 | + | 44.1697i | −0.163126 | + | 0.192042i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −43.9671 | − | 25.3844i | −0.189514 | − | 0.109416i | ||||
\(233\) | −183.458 | −0.787375 | −0.393688 | − | 0.919244i | \(-0.628801\pi\) | ||||
−0.393688 | + | 0.919244i | \(0.628801\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 117.336 | + | 328.528i | 0.499301 | + | 1.39799i | ||||
\(236\) | 68.1463 | + | 39.3443i | 0.288756 | + | 0.166713i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −127.892 | + | 73.8384i | −0.537361 | + | 0.310245i | ||||
\(239\) | 50.2172 | − | 28.9929i | 0.210114 | − | 0.121309i | −0.391251 | − | 0.920284i | \(-0.627957\pi\) |
0.601364 | + | 0.798975i | \(0.294624\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −78.5200 | + | 136.001i | −0.325809 | + | 0.564318i | −0.981676 | − | 0.190559i | \(-0.938970\pi\) |
0.655867 | + | 0.754877i | \(0.272303\pi\) | |||||||
\(242\) | −163.279 | −0.674708 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 231.336 | 0.948099 | ||||||||
\(245\) | −195.296 | − | 35.6515i | −0.797125 | − | 0.145516i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −9.44847 | + | 5.45508i | −0.0382529 | + | 0.0220853i | ||||
\(248\) | −83.0377 | − | 143.826i | −0.334829 | − | 0.579942i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 154.667 | − | 85.6044i | 0.618668 | − | 0.342418i | ||||
\(251\) | − | 254.026i | − | 1.01206i | −0.862517 | − | 0.506029i | \(-0.831113\pi\) | ||
0.862517 | − | 0.506029i | \(-0.168887\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 19.2979i | 0.0762764i | ||||||||
\(254\) | −108.218 | − | 62.4795i | −0.426054 | − | 0.245982i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.00000 | − | 13.8564i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 132.376 | + | 229.281i | 0.515080 | + | 0.892145i | 0.999847 | + | 0.0175016i | \(0.00557123\pi\) |
−0.484767 | + | 0.874644i | \(0.661095\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 97.9235 | − | 169.608i | 0.378083 | − | 0.654859i | ||||
\(260\) | −14.4870 | + | 5.17413i | −0.0557194 | + | 0.0199005i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | − | 245.703i | − | 0.937798i | ||||||
\(263\) | −89.1350 | + | 154.386i | −0.338916 | + | 0.587021i | −0.984229 | − | 0.176898i | \(-0.943394\pi\) |
0.645313 | + | 0.763919i | \(0.276727\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −223.384 | + | 262.981i | −0.842958 | + | 0.992382i | ||||
\(266\) | −81.8088 | + | 47.2323i | −0.307552 | + | 0.177565i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −177.622 | − | 102.550i | −0.662769 | − | 0.382650i | ||||
\(269\) | − | 270.345i | − | 1.00500i | −0.864577 | − | 0.502501i | \(-0.832413\pi\) | ||
0.864577 | − | 0.502501i | \(-0.167587\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 389.617 | 1.43770 | 0.718850 | − | 0.695165i | \(-0.244669\pi\) | ||||
0.718850 | + | 0.695165i | \(0.244669\pi\) | |||||||
\(272\) | −22.1745 | + | 38.4074i | −0.0815240 | + | 0.141204i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −77.0450 | − | 133.446i | −0.281186 | − | 0.487028i | ||||
\(275\) | 20.7985 | − | 55.0678i | 0.0756310 | − | 0.200247i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 418.704 | + | 241.739i | 1.51156 | + | 0.872702i | 0.999909 | + | 0.0135122i | \(0.00430121\pi\) |
0.511656 | + | 0.859190i | \(0.329032\pi\) | |||||||
\(278\) | 188.531 | 0.678168 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −125.435 | + | 44.7998i | −0.447982 | + | 0.159999i | ||||
\(281\) | 238.029 | + | 137.426i | 0.847078 | + | 0.489061i | 0.859664 | − | 0.510860i | \(-0.170673\pi\) |
−0.0125860 | + | 0.999921i | \(0.504006\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −400.583 | + | 231.277i | −1.41549 | + | 0.817233i | −0.995898 | − | 0.0904802i | \(-0.971160\pi\) |
−0.419591 | + | 0.907713i | \(0.637826\pi\) | |||||||
\(284\) | 177.824 | − | 102.667i | 0.626141 | − | 0.361503i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.56123 | + | 4.43618i | −0.00895535 | + | 0.0155111i | ||||
\(287\) | −460.627 | −1.60497 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −166.073 | −0.574646 | ||||||||
\(290\) | −22.7932 | + | 124.859i | −0.0785971 | + | 0.430548i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 208.907 | − | 120.613i | 0.715435 | − | 0.413057i | ||||
\(293\) | −30.5190 | − | 52.8605i | −0.104160 | − | 0.180411i | 0.809234 | − | 0.587486i | \(-0.199882\pi\) |
−0.913395 | + | 0.407075i | \(0.866549\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 35.3280 | − | 193.523i | 0.119756 | − | 0.656011i | ||||
\(296\) | − | 58.8151i | − | 0.198700i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 175.434i | − | 0.588705i | ||||||
\(299\) | −10.9189 | − | 6.30400i | −0.0365179 | − | 0.0210836i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 16.7415 | + | 28.9971i | 0.0556195 | + | 0.0963358i | ||||
\(302\) | 9.64374 | + | 16.7034i | 0.0319329 | + | 0.0553094i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −14.1844 | + | 24.5681i | −0.0466592 | + | 0.0808162i | ||||
\(305\) | −194.523 | − | 544.645i | −0.637781 | − | 1.78572i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 108.831i | − | 0.354498i | −0.984166 | − | 0.177249i | \(-0.943280\pi\) | ||
0.984166 | − | 0.177249i | \(-0.0567198\pi\) | |||||||
\(308\) | −22.1762 | + | 38.4103i | −0.0720007 | + | 0.124709i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −268.791 | + | 316.438i | −0.867068 | + | 1.02077i | ||||
\(311\) | 218.945 | − | 126.408i | 0.704004 | − | 0.406457i | −0.104833 | − | 0.994490i | \(-0.533431\pi\) |
0.808837 | + | 0.588033i | \(0.200097\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −381.600 | − | 220.317i | −1.21917 | − | 0.703888i | −0.254430 | − | 0.967091i | \(-0.581888\pi\) |
−0.964740 | + | 0.263203i | \(0.915221\pi\) | |||||||
\(314\) | − | 348.114i | − | 1.10864i | ||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −36.5204 | −0.115571 | ||||||||
\(317\) | 94.1053 | − | 162.995i | 0.296862 | − | 0.514181i | −0.678554 | − | 0.734550i | \(-0.737393\pi\) |
0.975416 | + | 0.220370i | \(0.0707264\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 21.1318 | + | 36.6014i | 0.0662440 | + | 0.114738i | ||||
\(320\) | −25.8958 | + | 30.4862i | −0.0809244 | + | 0.0952693i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −94.5400 | − | 54.5827i | −0.293602 | − | 0.169511i | ||||
\(323\) | 78.6331 | 0.243446 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 24.3634 | + | 29.7567i | 0.0749643 | + | 0.0915592i | ||||
\(326\) | −69.0804 | − | 39.8836i | −0.211903 | − | 0.122342i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −119.799 | + | 69.1657i | −0.365239 | + | 0.210871i | ||||
\(329\) | −569.084 | + | 328.561i | −1.72974 | + | 0.998665i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −81.2810 | + | 140.783i | −0.245562 | + | 0.425326i | −0.962289 | − | 0.272027i | \(-0.912306\pi\) |
0.716727 | + | 0.697353i | \(0.245639\pi\) | |||||||
\(332\) | −323.881 | −0.975546 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 140.538 | 0.420771 | ||||||||
\(335\) | −92.0817 | + | 504.415i | −0.274871 | + | 1.50572i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 199.576 | − | 115.225i | 0.592213 | − | 0.341915i | −0.173759 | − | 0.984788i | \(-0.555591\pi\) |
0.765972 | + | 0.642874i | \(0.222258\pi\) | |||||||
\(338\) | 117.828 | + | 204.084i | 0.348603 | + | 0.603798i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 109.070 | + | 19.9109i | 0.320794 | + | 0.0585615i | ||||
\(341\) | 138.253i | 0.405434i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 87.5467i | 0.255238i | ||||||||
\(344\) | 8.70815 | + | 5.02765i | 0.0253144 | + | 0.0146153i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 201.936 | + | 349.764i | 0.583631 | + | 1.01088i | ||||
\(347\) | 287.428 | + | 497.840i | 0.828322 | + | 1.43470i | 0.899353 | + | 0.437222i | \(0.144038\pi\) |
−0.0710309 | + | 0.997474i | \(0.522629\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 24.7392 | − | 42.8496i | 0.0708860 | − | 0.122778i | −0.828404 | − | 0.560131i | \(-0.810751\pi\) |
0.899290 | + | 0.437353i | \(0.144084\pi\) | |||||||
\(350\) | 210.948 | + | 257.646i | 0.602710 | + | 0.736132i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 13.3195i | 0.0378396i | ||||||||
\(353\) | −201.200 | + | 348.488i | −0.569971 | + | 0.987219i | 0.426597 | + | 0.904442i | \(0.359712\pi\) |
−0.996568 | + | 0.0827770i | \(0.973621\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −391.240 | − | 332.330i | −1.10208 | − | 0.936141i | ||||
\(356\) | 152.825 | − | 88.2337i | 0.429285 | − | 0.247848i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 221.152 | + | 127.682i | 0.617743 | + | 0.356654i | ||||
\(359\) | 562.625i | 1.56720i | 0.621266 | + | 0.783600i | \(0.286619\pi\) | ||||
−0.621266 | + | 0.783600i | \(0.713381\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −310.701 | −0.860667 | ||||||||
\(362\) | 62.0286 | − | 107.437i | 0.171350 | − | 0.296786i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −14.4885 | − | 25.0948i | −0.0398035 | − | 0.0689417i | ||||
\(365\) | −459.627 | − | 390.420i | −1.25925 | − | 1.06964i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 162.226 | + | 93.6613i | 0.442033 | + | 0.255208i | 0.704460 | − | 0.709744i | \(-0.251189\pi\) |
−0.262427 | + | 0.964952i | \(0.584523\pi\) | |||||||
\(368\) | −32.7836 | −0.0890859 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −138.471 | + | 49.4557i | −0.374246 | + | 0.133664i | ||||
\(371\) | −562.880 | − | 324.979i | −1.51720 | − | 0.875954i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 478.852 | − | 276.465i | 1.28378 | − | 0.741193i | 0.306246 | − | 0.951952i | \(-0.400927\pi\) |
0.977538 | + | 0.210759i | \(0.0675936\pi\) | |||||||
\(374\) | 31.9731 | − | 18.4597i | 0.0854895 | − | 0.0493574i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −98.6706 | + | 170.902i | −0.262422 | + | 0.454528i | ||||
\(377\) | −27.6123 | −0.0732421 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 447.398 | 1.18047 | 0.590235 | − | 0.807232i | \(-0.299035\pi\) | ||||
0.590235 | + | 0.807232i | \(0.299035\pi\) | |||||||
\(380\) | 69.7690 | + | 12.7364i | 0.183603 | + | 0.0335169i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 75.8206 | − | 43.7750i | 0.198483 | − | 0.114594i | ||||
\(383\) | −280.756 | − | 486.284i | −0.733045 | − | 1.26967i | −0.955576 | − | 0.294746i | \(-0.904765\pi\) |
0.222531 | − | 0.974926i | \(-0.428568\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 109.078 | + | 19.9124i | 0.283321 | + | 0.0517206i | ||||
\(386\) | 317.885i | 0.823537i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 281.240i | 0.724846i | ||||||||
\(389\) | 373.187 | + | 215.460i | 0.959350 | + | 0.553881i | 0.895973 | − | 0.444109i | \(-0.146480\pi\) |
0.0633770 | + | 0.997990i | \(0.479813\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 45.4350 | + | 78.6958i | 0.116202 | + | 0.201268i | ||||
\(392\) | −56.1508 | − | 97.2561i | −0.143242 | − | 0.248102i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −184.046 | + | 318.778i | −0.467123 | + | 0.809081i | ||||
\(395\) | 30.7089 | + | 85.9817i | 0.0777440 | + | 0.217675i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 656.459i | − | 1.65355i | −0.562533 | − | 0.826775i | \(-0.690173\pi\) | ||
0.562533 | − | 0.826775i | \(-0.309827\pi\) | |||||||
\(398\) | −19.2405 | + | 33.3255i | −0.0483430 | + | 0.0837325i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 93.5499 | + | 35.3328i | 0.233875 | + | 0.0883321i | ||||
\(401\) | −232.242 | + | 134.085i | −0.579157 | + | 0.334376i | −0.760798 | − | 0.648989i | \(-0.775192\pi\) |
0.181642 | + | 0.983365i | \(0.441859\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −78.2241 | − | 45.1627i | −0.194104 | − | 0.112066i | ||||
\(404\) | − | 109.941i | − | 0.272132i | ||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −239.079 | −0.588864 | ||||||||
\(407\) | −24.4809 | + | 42.4022i | −0.0601497 | + | 0.104182i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −153.664 | − | 266.154i | −0.375706 | − | 0.650742i | 0.614726 | − | 0.788741i | \(-0.289266\pi\) |
−0.990432 | + | 0.137998i | \(0.955933\pi\) | |||||||
\(410\) | 263.575 | + | 223.888i | 0.642865 | + | 0.546068i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 24.6941 | + | 14.2571i | 0.0599371 | + | 0.0346047i | ||||
\(413\) | 370.557 | 0.897232 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 272.342 | + | 762.529i | 0.656245 | + | 1.83742i | ||||
\(416\) | −7.53625 | − | 4.35105i | −0.0181160 | − | 0.0104593i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 20.4522 | − | 11.8081i | 0.0489288 | − | 0.0282491i | ||||
\(419\) | 278.539 | − | 160.815i | 0.664772 | − | 0.383806i | −0.129321 | − | 0.991603i | \(-0.541280\pi\) |
0.794093 | + | 0.607797i | \(0.207946\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −160.887 | + | 278.664i | −0.382154 | + | 0.661909i | −0.991370 | − | 0.131095i | \(-0.958151\pi\) |
0.609216 | + | 0.793004i | \(0.291484\pi\) | |||||||
\(422\) | −173.247 | −0.410539 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −195.190 | −0.460353 | ||||||||
\(425\) | −44.8364 | − | 273.531i | −0.105498 | − | 0.643603i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 943.447 | − | 544.699i | 2.20948 | − | 1.27564i | ||||
\(428\) | 81.9655 | + | 141.968i | 0.191508 | + | 0.331702i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.51442 | − | 24.7296i | 0.0104987 | − | 0.0575107i | ||||
\(431\) | 90.0447i | 0.208920i | 0.994529 | + | 0.104460i | \(0.0333115\pi\) | ||||
−0.994529 | + | 0.104460i | \(0.966689\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 22.6191i | − | 0.0522382i | −0.999659 | − | 0.0261191i | \(-0.991685\pi\) | ||
0.999659 | − | 0.0261191i | \(-0.00831491\pi\) | |||||||
\(434\) | −677.297 | − | 391.038i | −1.56059 | − | 0.901008i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 112.498 | + | 194.852i | 0.258022 | + | 0.446908i | ||||
\(437\) | 29.0635 | + | 50.3395i | 0.0665069 | + | 0.115193i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 319.657 | − | 553.663i | 0.728149 | − | 1.26119i | −0.229516 | − | 0.973305i | \(-0.573714\pi\) |
0.957665 | − | 0.287886i | \(-0.0929525\pi\) | |||||||
\(440\) | 31.3588 | − | 11.2000i | 0.0712700 | − | 0.0254545i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 24.1206i | 0.0545716i | ||||||||
\(443\) | 220.042 | − | 381.124i | 0.496709 | − | 0.860325i | −0.503284 | − | 0.864121i | \(-0.667875\pi\) |
0.999993 | + | 0.00379617i | \(0.00120836\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −336.239 | − | 285.611i | −0.755592 | − | 0.641821i | ||||
\(446\) | 338.332 | − | 195.336i | 0.758592 | − | 0.437973i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −65.2520 | − | 37.6733i | −0.145652 | − | 0.0840921i | ||||
\(449\) | 281.927i | 0.627899i | 0.949440 | + | 0.313949i | \(0.101652\pi\) | ||||
−0.949440 | + | 0.313949i | \(0.898348\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 115.157 | 0.255337 | ||||||||
\(452\) | 89.8034 | − | 155.544i | 0.198680 | − | 0.344124i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1.91466 | + | 3.31628i | 0.00421731 | + | 0.00730459i | ||||
\(455\) | −46.8989 | + | 55.2123i | −0.103074 | + | 0.121346i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −321.896 | − | 185.847i | −0.704367 | − | 0.406667i | 0.104605 | − | 0.994514i | \(-0.466642\pi\) |
−0.808972 | + | 0.587847i | \(0.799976\pi\) | |||||||
\(458\) | 296.470 | 0.647314 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 27.5667 | + | 77.1839i | 0.0599276 | + | 0.167791i | ||||
\(461\) | −192.177 | − | 110.954i | −0.416870 | − | 0.240680i | 0.276867 | − | 0.960908i | \(-0.410704\pi\) |
−0.693737 | + | 0.720228i | \(0.744037\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −309.991 | + | 178.973i | −0.669526 | + | 0.386551i | −0.795897 | − | 0.605432i | \(-0.793000\pi\) |
0.126371 | + | 0.991983i | \(0.459667\pi\) | |||||||
\(464\) | −62.1789 | + | 35.8990i | −0.134006 | + | 0.0773686i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −129.725 | + | 224.690i | −0.278379 | + | 0.482167i | ||||
\(467\) | 392.199 | 0.839826 | 0.419913 | − | 0.907564i | \(-0.362061\pi\) | ||||
0.419913 | + | 0.907564i | \(0.362061\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −965.850 | −2.05938 | ||||||||
\(470\) | 485.332 | + | 88.5981i | 1.03262 | + | 0.188507i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 96.3734 | − | 55.6412i | 0.204181 | − | 0.117884i | ||||
\(473\) | −4.18538 | − | 7.24929i | −0.00884858 | − | 0.0153262i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −28.6806 | − | 174.970i | −0.0603802 | − | 0.368358i | ||||
\(476\) | 208.847i | 0.438753i | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | − | 82.0043i | − | 0.171557i | ||||||
\(479\) | 697.138 | + | 402.493i | 1.45540 | + | 0.840278i | 0.998780 | − | 0.0493823i | \(-0.0157253\pi\) |
0.456624 | + | 0.889660i | \(0.349059\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −15.9942 | − | 27.7028i | −0.0332520 | − | 0.0575942i | ||||
\(482\) | 111.044 | + | 192.334i | 0.230382 | + | 0.399033i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −115.456 | + | 199.976i | −0.238545 | + | 0.413173i | ||||
\(485\) | 662.136 | − | 236.486i | 1.36523 | − | 0.487600i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 477.427i | − | 0.980342i | −0.871626 | − | 0.490171i | \(-0.836934\pi\) | ||
0.871626 | − | 0.490171i | \(-0.163066\pi\) | |||||||
\(488\) | 163.579 | − | 283.328i | 0.335204 | − | 0.580590i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −181.759 | + | 213.978i | −0.370937 | + | 0.436690i | ||||
\(491\) | 311.235 | − | 179.691i | 0.633879 | − | 0.365970i | −0.148374 | − | 0.988931i | \(-0.547404\pi\) |
0.782253 | + | 0.622961i | \(0.214070\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 172.349 | + | 99.5055i | 0.349591 | + | 0.201837i | ||||
\(494\) | 15.4293i | 0.0312334i | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −234.866 | −0.473520 | ||||||||
\(497\) | 483.474 | − | 837.402i | 0.972785 | − | 1.68491i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −194.053 | − | 336.109i | −0.388883 | − | 0.673565i | 0.603417 | − | 0.797426i | \(-0.293806\pi\) |
−0.992300 | + | 0.123861i | \(0.960472\pi\) | |||||||
\(500\) | 4.52249 | − | 249.959i | 0.00904499 | − | 0.499918i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −311.118 | − | 179.624i | −0.619756 | − | 0.357816i | ||||
\(503\) | 23.5000 | 0.0467197 | 0.0233598 | − | 0.999727i | \(-0.492564\pi\) | ||||
0.0233598 | + | 0.999727i | \(0.492564\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −258.840 | + | 92.4463i | −0.512555 | + | 0.183062i | ||||
\(506\) | 23.6351 | + | 13.6457i | 0.0467096 | + | 0.0269678i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −153.043 | + | 88.3594i | −0.301266 | + | 0.173936i | ||||
\(509\) | 137.817 | − | 79.5684i | 0.270759 | − | 0.156323i | −0.358473 | − | 0.933540i | \(-0.616703\pi\) |
0.629233 | + | 0.777217i | \(0.283369\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 567.984 | − | 983.777i | 1.11151 | − | 1.92520i | ||||
\(512\) | −22.6274 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 374.415 | 0.728434 | ||||||||
\(515\) | 12.8017 | − | 70.1268i | 0.0248578 | − | 0.136168i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 142.271 | − | 82.1404i | 0.275186 | − | 0.158879i | ||||
\(518\) | −138.485 | − | 239.862i | −0.267345 | − | 0.463055i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.90689 | + | 21.4016i | −0.00751325 | + | 0.0411569i | ||||
\(521\) | − | 591.045i | − | 1.13444i | −0.823565 | − | 0.567222i | \(-0.808018\pi\) | ||
0.823565 | − | 0.567222i | \(-0.191982\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 542.921i | 1.03809i | 0.854747 | + | 0.519045i | \(0.173712\pi\) | ||||
−0.854747 | + | 0.519045i | \(0.826288\pi\) | |||||||
\(524\) | −300.923 | − | 173.738i | −0.574281 | − | 0.331562i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 126.056 | + | 218.335i | 0.239650 | + | 0.415086i | ||||
\(527\) | 325.503 | + | 563.787i | 0.617652 | + | 1.06980i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 230.914 | − | 399.954i | 0.436510 | − | 0.756057i | ||||
\(530\) | 164.129 | + | 459.544i | 0.309677 | + | 0.867064i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 133.593i | 0.251115i | ||||||||
\(533\) | −37.6180 | + | 65.1562i | −0.0705778 | + | 0.122244i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 265.321 | − | 312.352i | 0.495926 | − | 0.583835i | ||||
\(536\) | −251.196 | + | 145.028i | −0.468649 | + | 0.270574i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −331.104 | − | 191.163i | −0.615435 | − | 0.355322i | ||||
\(539\) | 93.4879i | 0.173447i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −744.623 | −1.37638 | −0.688192 | − | 0.725529i | \(-0.741595\pi\) | ||||
−0.688192 | + | 0.725529i | \(0.741595\pi\) | |||||||
\(542\) | 275.501 | − | 477.181i | 0.508304 | − | 0.880408i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 31.3595 | + | 54.3163i | 0.0576462 | + | 0.0998461i | ||||
\(545\) | 364.152 | − | 428.703i | 0.668170 | − | 0.786611i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 109.584 | + | 63.2684i | 0.200337 | + | 0.115664i | 0.596812 | − | 0.802381i | \(-0.296434\pi\) |
−0.396476 | + | 0.918045i | \(0.629767\pi\) | |||||||
\(548\) | −217.916 | −0.397657 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −52.7372 | − | 64.4117i | −0.0958859 | − | 0.117112i | ||||
\(551\) | 110.246 | + | 63.6508i | 0.200084 | + | 0.115519i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −148.939 | + | 85.9902i | −0.269330 | + | 0.155498i | ||||
\(554\) | 592.136 | − | 341.870i | 1.06884 | − | 0.617094i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 133.311 | − | 230.902i | 0.239769 | − | 0.415292i | ||||
\(557\) | 363.331 | 0.652301 | 0.326150 | − | 0.945318i | \(-0.394248\pi\) | ||||
0.326150 | + | 0.945318i | \(0.394248\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.46890 | 0.00978336 | ||||||||
\(560\) | −33.8275 | + | 185.304i | −0.0604063 | + | 0.330900i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 336.624 | − | 194.350i | 0.598975 | − | 0.345818i | ||||
\(563\) | 152.845 | + | 264.736i | 0.271484 | + | 0.470223i | 0.969242 | − | 0.246110i | \(-0.0791524\pi\) |
−0.697758 | + | 0.716333i | \(0.745819\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −441.717 | − | 80.6361i | −0.781801 | − | 0.142719i | ||||
\(566\) | 654.150i | 1.15574i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | − | 290.386i | − | 0.511242i | ||||||
\(569\) | 787.058 | + | 454.408i | 1.38323 | + | 0.798609i | 0.992541 | − | 0.121914i | \(-0.0389031\pi\) |
0.390690 | + | 0.920522i | \(0.372236\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −210.253 | − | 364.168i | −0.368218 | − | 0.637773i | 0.621069 | − | 0.783756i | \(-0.286699\pi\) |
−0.989287 | + | 0.145983i | \(0.953365\pi\) | |||||||
\(572\) | 3.62213 | + | 6.27371i | 0.00633239 | + | 0.0109680i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −325.712 | + | 564.150i | −0.567443 | + | 0.982840i | ||||
\(575\) | 158.538 | − | 129.803i | 0.275718 | − | 0.225744i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 488.343i | 0.846348i | 0.906048 | + | 0.423174i | \(0.139084\pi\) | ||||
−0.906048 | + | 0.423174i | \(0.860916\pi\) | |||||||
\(578\) | −117.431 | + | 203.397i | −0.203168 | + | 0.351897i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 136.803 | + | 116.204i | 0.235867 | + | 0.200352i | ||||
\(581\) | −1320.87 | + | 762.604i | −2.27344 | + | 1.31257i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 140.720 | + | 81.2449i | 0.241373 | + | 0.139357i | ||||
\(584\) | − | 341.144i | − | 0.584151i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −86.3208 | −0.147305 | ||||||||
\(587\) | 344.218 | − | 596.203i | 0.586402 | − | 1.01568i | −0.408298 | − | 0.912849i | \(-0.633877\pi\) |
0.994699 | − | 0.102828i | \(-0.0327893\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 208.215 | + | 360.639i | 0.353506 | + | 0.612290i | ||||
\(590\) | −212.036 | − | 180.109i | −0.359383 | − | 0.305270i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −72.0334 | − | 41.5885i | −0.121678 | − | 0.0702509i | ||||
\(593\) | 532.286 | 0.897616 | 0.448808 | − | 0.893628i | \(-0.351849\pi\) | ||||
0.448808 | + | 0.893628i | \(0.351849\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 491.697 | − | 175.612i | 0.826381 | − | 0.295147i | ||||
\(596\) | −214.862 | − | 124.051i | −0.360506 | − | 0.208139i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −15.4416 | + | 8.91520i | −0.0258220 | + | 0.0149084i | ||||
\(599\) | −120.652 | + | 69.6587i | −0.201423 | + | 0.116292i | −0.597319 | − | 0.802004i | \(-0.703767\pi\) |
0.395896 | + | 0.918295i | \(0.370434\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.08331 | − | 10.5366i | 0.0101220 | − | 0.0175318i | −0.860920 | − | 0.508740i | \(-0.830111\pi\) |
0.871042 | + | 0.491208i | \(0.163445\pi\) | |||||||
\(602\) | 47.3520 | 0.0786579 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 27.2766 | 0.0451600 | ||||||||
\(605\) | 567.895 | + | 103.670i | 0.938669 | + | 0.171355i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 321.687 | − | 185.726i | 0.529962 | − | 0.305974i | −0.211039 | − | 0.977478i | \(-0.567685\pi\) |
0.741001 | + | 0.671504i | \(0.234351\pi\) | |||||||
\(608\) | 20.0598 | + | 34.7446i | 0.0329931 | + | 0.0571457i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −804.600 | − | 146.881i | −1.31902 | − | 0.240788i | ||||
\(611\) | 107.330i | 0.175663i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 656.136i | 1.07037i | 0.844736 | + | 0.535184i | \(0.179758\pi\) | ||||
−0.844736 | + | 0.535184i | \(0.820242\pi\) | |||||||
\(614\) | −133.290 | − | 76.9551i | −0.217085 | − | 0.125334i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 31.3619 | + | 54.3204i | 0.0509122 | + | 0.0881825i | ||||
\(617\) | −264.682 | − | 458.443i | −0.428982 | − | 0.743019i | 0.567801 | − | 0.823166i | \(-0.307794\pi\) |
−0.996783 | + | 0.0801472i | \(0.974461\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 201.069 | − | 348.262i | 0.324829 | − | 0.562620i | −0.656649 | − | 0.754197i | \(-0.728027\pi\) |
0.981478 | + | 0.191576i | \(0.0613599\pi\) | |||||||
\(620\) | 197.491 | + | 552.956i | 0.318535 | + | 0.891864i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 357.536i | − | 0.574817i | ||||||
\(623\) | 415.506 | − | 719.678i | 0.666944 | − | 1.15518i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −592.293 | + | 199.535i | −0.947668 | + | 0.319256i | ||||
\(626\) | −539.664 | + | 311.575i | −0.862084 | + | 0.497724i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −426.350 | − | 246.154i | −0.678902 | − | 0.391964i | ||||
\(629\) | 230.551i | 0.366536i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 576.351 | 0.913393 | 0.456696 | − | 0.889623i | \(-0.349033\pi\) | ||||
0.456696 | + | 0.889623i | \(0.349033\pi\) | |||||||
\(632\) | −25.8238 | + | 44.7282i | −0.0408605 | + | 0.0707725i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −133.085 | − | 230.510i | −0.209913 | − | 0.363581i | ||||
\(635\) | 336.717 | + | 286.017i | 0.530264 | + | 0.450421i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −52.8958 | − | 30.5394i | −0.0830390 | − | 0.0479426i | ||||
\(638\) | 59.7698 | 0.0936831 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 19.0267 | + | 53.2727i | 0.0297292 | + | 0.0832387i | ||||
\(641\) | −165.503 | − | 95.5530i | −0.258194 | − | 0.149069i | 0.365316 | − | 0.930883i | \(-0.380961\pi\) |
−0.623511 | + | 0.781815i | \(0.714294\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 761.768 | − | 439.807i | 1.18471 | − | 0.683992i | 0.227610 | − | 0.973752i | \(-0.426909\pi\) |
0.957099 | + | 0.289760i | \(0.0935756\pi\) | |||||||
\(644\) | −133.700 | + | 77.1916i | −0.207608 | + | 0.119863i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 55.6020 | − | 96.3055i | 0.0860712 | − | 0.149080i | ||||
\(647\) | −272.480 | −0.421144 | −0.210572 | − | 0.977578i | \(-0.567533\pi\) | ||||
−0.210572 | + | 0.977578i | \(0.567533\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −92.6395 | −0.142742 | ||||||||
\(650\) | 53.6719 | − | 8.79775i | 0.0825722 | − | 0.0135350i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −97.6945 | + | 56.4039i | −0.149838 | + | 0.0865091i | ||||
\(653\) | 177.265 | + | 307.033i | 0.271463 | + | 0.470188i | 0.969237 | − | 0.246130i | \(-0.0791591\pi\) |
−0.697774 | + | 0.716318i | \(0.745826\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −156.003 | + | 854.569i | −0.238172 | + | 1.30468i | ||||
\(656\) | 195.630i | 0.298217i | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 929.311i | 1.41233i | ||||||||
\(659\) | −222.074 | − | 128.215i | −0.336987 | − | 0.194559i | 0.321952 | − | 0.946756i | \(-0.395661\pi\) |
−0.658939 | + | 0.752197i | \(0.728994\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −403.282 | − | 698.505i | −0.610109 | − | 1.05674i | −0.991222 | − | 0.132212i | \(-0.957792\pi\) |
0.381112 | − | 0.924529i | \(-0.375541\pi\) | |||||||
\(662\) | 114.949 | + | 199.097i | 0.173639 | + | 0.300751i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −229.019 | + | 396.672i | −0.344908 | + | 0.597398i | ||||
\(665\) | 314.524 | − | 112.334i | 0.472969 | − | 0.168924i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 147.112i | 0.220558i | ||||||||
\(668\) | 99.3751 | − | 172.123i | 0.148765 | − | 0.257669i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 552.668 | + | 469.452i | 0.824878 | + | 0.700675i | ||||
\(671\) | −235.862 | + | 136.175i | −0.351509 | + | 0.202944i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −239.471 | − | 138.259i | −0.355826 | − | 0.205436i | 0.311422 | − | 0.950272i | \(-0.399195\pi\) |
−0.667248 | + | 0.744835i | \(0.732528\pi\) | |||||||
\(674\) | − | 325.906i | − | 0.483540i | ||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 333.267 | 0.492999 | ||||||||
\(677\) | −536.338 | + | 928.965i | −0.792228 | + | 1.37218i | 0.132356 | + | 0.991202i | \(0.457746\pi\) |
−0.924584 | + | 0.380977i | \(0.875588\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 662.202 | + | 1146.97i | 0.975261 | + | 1.68920i | ||||
\(680\) | 101.510 | − | 119.504i | 0.149279 | − | 0.175741i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 169.325 | + | 97.7596i | 0.248277 | + | 0.143343i | ||||
\(683\) | 553.261 | 0.810046 | 0.405023 | − | 0.914307i | \(-0.367264\pi\) | ||||
0.405023 | + | 0.914307i | \(0.367264\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 183.239 | + | 513.050i | 0.267502 | + | 0.748978i | ||||
\(686\) | 107.222 | + | 61.9049i | 0.156301 | + | 0.0902403i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 12.3152 | − | 7.11018i | 0.0179000 | − | 0.0103346i | ||||
\(689\) | −91.9374 | + | 53.0801i | −0.133436 | + | 0.0770393i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 626.305 | − | 1084.79i | 0.906375 | − | 1.56989i | 0.0873141 | − | 0.996181i | \(-0.472172\pi\) |
0.819061 | − | 0.573707i | \(-0.194495\pi\) | |||||||
\(692\) | 571.162 | 0.825378 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 812.969 | 1.17142 | ||||||||
\(695\) | −655.721 | − | 119.703i | −0.943483 | − | 0.172234i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 469.603 | − | 271.125i | 0.673749 | − | 0.388989i | ||||
\(698\) | −34.9865 | − | 60.5984i | −0.0501239 | − | 0.0868172i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 464.714 | − | 76.1746i | 0.663877 | − | 0.108821i | ||||
\(701\) | − | 727.608i | − | 1.03796i | −0.854787 | − | 0.518979i | \(-0.826312\pi\) | ||
0.854787 | − | 0.518979i | \(-0.173688\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 147.477i | 0.209783i | ||||||||
\(704\) | 16.3130 | + | 9.41834i | 0.0231719 | + | 0.0133783i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 284.539 | + | 492.837i | 0.403030 | + | 0.698069i | ||||
\(707\) | −258.866 | − | 448.369i | −0.366147 | − | 0.634185i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −320.409 | + | 554.964i | −0.451916 | + | 0.782742i | −0.998505 | − | 0.0546592i | \(-0.982593\pi\) |
0.546589 | + | 0.837401i | \(0.315926\pi\) | |||||||
\(710\) | −683.668 | + | 244.176i | −0.962913 | + | 0.343910i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | − | 249.563i | − | 0.350509i | ||||||
\(713\) | −240.617 | + | 416.762i | −0.337472 | + | 0.584518i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 11.7247 | − | 13.8031i | 0.0163982 | − | 0.0193050i | ||||
\(716\) | 312.756 | − | 180.570i | 0.436810 | − | 0.252193i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 689.072 | + | 397.836i | 0.959710 | + | 0.554089i | ||||
\(719\) | 738.347i | 1.02691i | 0.858117 | + | 0.513454i | \(0.171634\pi\) | ||||
−0.858117 | + | 0.513454i | \(0.828366\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 134.278 | 0.186239 | ||||||||
\(722\) | −219.699 | + | 380.529i | −0.304292 | + | 0.527049i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −87.7217 | − | 151.938i | −0.121163 | − | 0.209860i | ||||
\(725\) | 158.552 | − | 419.794i | 0.218692 | − | 0.579026i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −593.882 | − | 342.878i | −0.816894 | − | 0.471634i | 0.0324500 | − | 0.999473i | \(-0.489669\pi\) |
−0.849344 | + | 0.527839i | \(0.823002\pi\) | |||||||
\(728\) | −40.9796 | −0.0562907 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −803.171 | + | 286.857i | −1.10023 | + | 0.392955i | ||||
\(731\) | −34.1354 | − | 19.7081i | −0.0466969 | − | 0.0269605i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −127.317 | + | 73.5062i | −0.173692 | + | 0.100281i | −0.584326 | − | 0.811519i | \(-0.698641\pi\) |
0.410633 | + | 0.911801i | \(0.365308\pi\) | |||||||
\(734\) | 229.422 | − | 132.457i | 0.312565 | − | 0.180459i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −23.1815 | + | 40.1516i | −0.0314966 | + | 0.0545537i | ||||
\(737\) | 241.463 | 0.327630 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 34.9060 | 0.0472341 | 0.0236171 | − | 0.999721i | \(-0.492482\pi\) | ||||
0.0236171 | + | 0.999721i | \(0.492482\pi\) | |||||||
\(740\) | −37.3431 | + | 204.562i | −0.0504637 | + | 0.276435i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −796.032 | + | 459.590i | −1.07282 | + | 0.619393i | ||||
\(743\) | −140.465 | − | 243.293i | −0.189051 | − | 0.327447i | 0.755883 | − | 0.654707i | \(-0.227208\pi\) |
−0.944934 | + | 0.327260i | \(0.893875\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −111.387 | + | 610.169i | −0.149513 | + | 0.819019i | ||||
\(746\) | − | 781.961i | − | 1.04821i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 52.2118i | − | 0.0698018i | ||||||
\(749\) | 668.552 | + | 385.989i | 0.892593 | + | 0.515339i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 657.302 | + | 1138.48i | 0.875236 | + | 1.51595i | 0.856511 | + | 0.516129i | \(0.172627\pi\) |
0.0187252 | + | 0.999825i | \(0.494039\pi\) | |||||||
\(752\) | 139.541 | + | 241.693i | 0.185560 | + | 0.321400i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −19.5248 | + | 33.8180i | −0.0258950 | + | 0.0448515i | ||||
\(755\) | −22.9360 | − | 64.2186i | −0.0303789 | − | 0.0850577i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 670.545i | − | 0.885793i | −0.896573 | − | 0.442897i | \(-0.853951\pi\) | ||
0.896573 | − | 0.442897i | \(-0.146049\pi\) | |||||||
\(758\) | 316.358 | − | 547.948i | 0.417359 | − | 0.722887i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 64.9330 | − | 76.4432i | 0.0854382 | − | 0.100583i | ||||
\(761\) | −391.292 | + | 225.912i | −0.514181 | + | 0.296863i | −0.734551 | − | 0.678554i | \(-0.762607\pi\) |
0.220370 | + | 0.975416i | \(0.429274\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 917.587 | + | 529.769i | 1.20260 | + | 0.694324i | ||||
\(764\) | − | 123.814i | − | 0.162061i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −794.099 | −1.03668 | ||||||||
\(767\) | 30.2623 | − | 52.4158i | 0.0394553 | − | 0.0683387i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 78.9323 | + | 136.715i | 0.102643 | + | 0.177783i | 0.912773 | − | 0.408468i | \(-0.133937\pi\) |
−0.810130 | + | 0.586250i | \(0.800603\pi\) | |||||||
\(770\) | 101.518 | − | 119.513i | 0.131841 | − | 0.155212i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 389.329 | + | 224.779i | 0.504312 | + | 0.291164i | ||||
\(773\) | −408.029 | −0.527852 | −0.263926 | − | 0.964543i | \(-0.585017\pi\) | ||||
−0.263926 | + | 0.964543i | \(0.585017\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1135.78 | − | 929.926i | 1.46553 | − | 1.19990i | ||||
\(776\) | 344.447 | + | 198.867i | 0.443876 | + | 0.256272i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 527.766 | − | 304.706i | 0.678363 | − | 0.391653i | ||||
\(779\) | 300.392 | − | 173.431i | 0.385612 | − | 0.222633i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −120.869 | + | 209.351i | −0.154762 | + | 0.268055i | ||||
\(782\) | 128.510 | 0.164335 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −158.819 | −0.202575 | ||||||||
\(785\) | −221.026 | + | 1210.76i | −0.281562 | + | 1.54237i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −323.929 | + | 187.020i | −0.411600 | + | 0.237637i | −0.691477 | − | 0.722399i | \(-0.743040\pi\) |
0.279877 | + | 0.960036i | \(0.409706\pi\) | |||||||
\(788\) | 260.281 | + | 450.820i | 0.330306 | + | 0.572106i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 127.020 | + | 23.1877i | 0.160785 | + | 0.0293515i | ||||
\(791\) | − | 845.797i | − | 1.06928i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 177.936i | − | 0.224383i | ||||||
\(794\) | −803.995 | − | 464.187i | −1.01259 | − | 0.584618i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 27.2102 | + | 47.1294i | 0.0341837 | + | 0.0592078i | ||||
\(797\) | −269.638 | − | 467.026i | −0.338316 | − | 0.585980i | 0.645800 | − | 0.763506i | \(-0.276524\pi\) |
−0.984116 | + | 0.177526i | \(0.943191\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 386.783 | − | 669.927i | 0.484083 | − | 0.838457i | ||||
\(800\) | 109.423 | − | 89.5907i | 0.136779 | − | 0.111988i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 379.249i | 0.472879i | ||||||||
\(803\) | −141.996 | + | 245.945i | −0.176832 | + | 0.306282i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 294.159 | + | 249.867i | 0.365415 | + | 0.310394i | ||||
\(806\) | −110.626 | + | 63.8697i | −0.137253 | + | 0.0792428i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −134.650 | − | 77.7403i | −0.166646 | − | 0.0962133i | ||||
\(809\) | 220.597i | 0.272679i | 0.990662 | + | 0.136339i | \(0.0435338\pi\) | ||||
−0.990662 | + | 0.136339i | \(0.956466\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −502.813 | −0.619992 | −0.309996 | − | 0.950738i | \(-0.600328\pi\) | ||||
−0.309996 | + | 0.950738i | \(0.600328\pi\) | |||||||
\(812\) | −169.054 | + | 292.810i | −0.208195 | + | 0.360604i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 34.6213 | + | 59.9658i | 0.0425323 | + | 0.0736680i | ||||
\(815\) | 214.942 | + | 182.578i | 0.263733 | + | 0.224022i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −21.8355 | − | 12.6067i | −0.0267264 | − | 0.0154305i | ||||
\(818\) | −434.627 | −0.531329 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 460.581 | − | 164.499i | 0.561684 | − | 0.200609i | ||||
\(821\) | −485.540 | − | 280.327i | −0.591401 | − | 0.341446i | 0.174250 | − | 0.984701i | \(-0.444250\pi\) |
−0.765651 | + | 0.643256i | \(0.777583\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −943.551 | + | 544.759i | −1.14648 | + | 0.661919i | −0.948026 | − | 0.318192i | \(-0.896924\pi\) |
−0.198451 | + | 0.980111i | \(0.563591\pi\) | |||||||
\(824\) | 34.9227 | − | 20.1626i | 0.0423819 | − | 0.0244692i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 262.023 | − | 453.838i | 0.317219 | − | 0.549440i | ||||
\(827\) | −963.697 | −1.16529 | −0.582646 | − | 0.812726i | \(-0.697983\pi\) | ||||
−0.582646 | + | 0.812726i | \(0.697983\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −273.552 | −0.329978 | −0.164989 | − | 0.986295i | \(-0.552759\pi\) | ||||
−0.164989 | + | 0.986295i | \(0.552759\pi\) | |||||||
\(830\) | 1126.48 | + | 205.640i | 1.35720 | + | 0.247759i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −10.6579 | + | 6.15332i | −0.0128099 | + | 0.00739582i | ||||
\(833\) | 220.108 | + | 381.238i | 0.264235 | + | 0.457669i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −488.798 | − | 89.2308i | −0.585387 | − | 0.106863i | ||||
\(836\) | − | 33.3984i | − | 0.0399502i | ||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | − | 454.853i | − | 0.542784i | ||||||
\(839\) | 483.740 | + | 279.287i | 0.576567 | + | 0.332881i | 0.759768 | − | 0.650194i | \(-0.225313\pi\) |
−0.183201 | + | 0.983075i | \(0.558646\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −259.407 | − | 449.307i | −0.308451 | − | 0.534253i | ||||
\(842\) | 227.528 | + | 394.090i | 0.270223 | + | 0.468041i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −122.504 | + | 212.184i | −0.145147 | + | 0.251403i | ||||
\(845\) | −280.234 | − | 784.626i | −0.331638 | − | 0.928551i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1087.40i | 1.28383i | ||||||||
\(848\) | −138.020 | + | 239.058i | −0.162759 | + | 0.281908i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −366.710 | − | 138.503i | −0.431424 | − | 0.162944i | ||||
\(851\) | −147.595 | + | 85.2139i | −0.173437 | + | 0.100134i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −798.259 | − | 460.875i | −0.935825 | − | 0.540299i | −0.0471757 | − | 0.998887i | \(-0.515022\pi\) |
−0.888649 | + | 0.458588i | \(0.848355\pi\) | |||||||
\(854\) | − | 1540.64i | − | 1.80403i | ||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 231.834 | 0.270834 | ||||||||
\(857\) | −101.333 | + | 175.514i | −0.118241 | + | 0.204800i | −0.919071 | − | 0.394092i | \(-0.871059\pi\) |
0.800829 | + | 0.598893i | \(0.204392\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −663.639 | − | 1149.46i | −0.772572 | − | 1.33813i | −0.936149 | − | 0.351603i | \(-0.885637\pi\) |
0.163578 | − | 0.986530i | \(-0.447697\pi\) | |||||||
\(860\) | −27.0953 | − | 23.0155i | −0.0315061 | − | 0.0267622i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 110.282 | + | 63.6712i | 0.127937 | + | 0.0738645i | ||||
\(863\) | −983.885 | −1.14008 | −0.570038 | − | 0.821619i | \(-0.693071\pi\) | ||||
−0.570038 | + | 0.821619i | \(0.693071\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −480.272 | − | 1344.71i | −0.555227 | − | 1.55458i | ||||
\(866\) | −27.7027 | − | 15.9941i | −0.0319892 | − | 0.0184690i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −957.843 | + | 553.011i | −1.10351 | + | 0.637109i | ||||
\(869\) | 37.2350 | − | 21.4976i | 0.0428481 | − | 0.0247383i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −78.8780 | + | 136.621i | −0.0905603 | + | 0.156855i | ||||
\(872\) | 318.191 | 0.364899 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 82.2040 | 0.0940549 | ||||||||
\(875\) | −570.104 | − | 1030.04i | −0.651548 | − | 1.17719i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1131.82 | + | 653.455i | −1.29056 | + | 0.745103i | −0.978753 | − | 0.205044i | \(-0.934266\pi\) |
−0.311803 | + | 0.950147i | \(0.600933\pi\) | |||||||
\(878\) | −452.064 | − | 782.998i | −0.514879 | − | 0.891797i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 8.45690 | − | 46.3261i | 0.00961011 | − | 0.0526433i | ||||
\(881\) | 642.541i | 0.729331i | 0.931139 | + | 0.364666i | \(0.118817\pi\) | ||||
−0.931139 | + | 0.364666i | \(0.881183\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 955.440i | − | 1.08204i | −0.841010 | − | 0.541019i | \(-0.818039\pi\) | ||
0.841010 | − | 0.541019i | \(-0.181961\pi\) | |||||||
\(884\) | 29.5416 | + | 17.0559i | 0.0334181 | + | 0.0192940i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −311.186 | − | 538.991i | −0.351226 | − | 0.608342i | ||||
\(887\) | −432.681 | − | 749.426i | −0.487803 | − | 0.844900i | 0.512099 | − | 0.858927i | \(-0.328868\pi\) |
−0.999902 | + | 0.0140270i | \(0.995535\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −416.098 | + | 720.703i | −0.468052 | + | 0.810690i | ||||
\(890\) | −587.557 | + | 209.849i | −0.660176 | + | 0.235786i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 552.494i | − | 0.619388i | ||||||
\(893\) | 247.414 | − | 428.533i | 0.277059 | − | 0.479880i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −688.111 | − | 584.501i | −0.768839 | − | 0.653073i | ||||
\(896\) | −92.2803 | + | 53.2780i | −0.102991 | + | 0.0594621i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 345.288 | + | 199.352i | 0.384508 | + | 0.221996i | ||||
\(899\) | 1053.93i | 1.17234i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 765.132 | 0.849203 | ||||||||
\(902\) | 81.4283 | − | 141.038i | 0.0902752 | − | 0.156361i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −127.001 | − | 219.973i | −0.140488 | − | 0.243332i | ||||
\(905\) | −283.953 | + | 334.287i | −0.313760 | + | 0.369378i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 668.018 | + | 385.680i | 0.736513 | + | 0.425226i | 0.820800 | − | 0.571215i | \(-0.193528\pi\) |
−0.0842869 | + | 0.996442i | \(0.526861\pi\) | |||||||
\(908\) | 5.41547 | 0.00596417 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 34.4584 | + | 96.4801i | 0.0378664 | + | 0.106022i | ||||
\(911\) | −1131.06 | − | 653.020i | −1.24156 | − | 0.716817i | −0.272151 | − | 0.962255i | \(-0.587735\pi\) |
−0.969412 | + | 0.245437i | \(0.921068\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 330.218 | − | 190.652i | 0.361685 | − | 0.208819i | ||||
\(914\) | −455.229 | + | 262.827i | −0.498063 | + | 0.287557i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 209.636 | − | 363.100i | 0.228860 | − | 0.396397i | ||||
\(917\) | −1636.32 | −1.78443 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1455.53 | 1.58382 | 0.791909 | − | 0.610640i | \(-0.209088\pi\) | ||||
0.791909 | + | 0.610640i | \(0.209088\pi\) | |||||||
\(920\) | 114.023 | + | 20.8151i | 0.123938 | + | 0.0226251i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −271.780 | + | 156.912i | −0.294772 | + | 0.170187i | ||||
\(923\) | −78.9677 | − | 136.776i | −0.0855555 | − | 0.148186i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 513.010 | − | 84.0912i | 0.554606 | − | 0.0909094i | ||||
\(926\) | 506.213i | 0.546666i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 101.538i | 0.109416i | ||||||||
\(929\) | 181.827 | + | 104.978i | 0.195723 | + | 0.113001i | 0.594659 | − | 0.803978i | \(-0.297287\pi\) |
−0.398936 | + | 0.916979i | \(0.630620\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 140.797 | + | 243.867i | 0.151232 | + | 0.261941i | ||||
\(932\) | 183.458 | + | 317.759i | 0.196844 | + | 0.340944i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 277.326 | − | 480.343i | 0.296923 | − | 0.514286i | ||||
\(935\) | −122.925 | + | 43.9032i | −0.131470 | + | 0.0469553i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 890.537i | 0.950413i | 0.879874 | + | 0.475206i | \(0.157627\pi\) | ||||
−0.879874 | + | 0.475206i | \(0.842373\pi\) | |||||||
\(938\) | −682.959 | + | 1182.92i | −0.728101 | + | 1.26111i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 451.692 | − | 531.760i | 0.480523 | − | 0.565702i | ||||
\(941\) | 936.173 | − | 540.500i | 0.994871 | − | 0.574389i | 0.0881441 | − | 0.996108i | \(-0.471906\pi\) |
0.906727 | + | 0.421719i | \(0.138573\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 347.139 | + | 200.421i | 0.368122 | + | 0.212535i | ||||
\(944\) | − | 157.377i | − | 0.166713i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −11.8380 | −0.0125138 | ||||||||
\(947\) | −451.107 | + | 781.340i | −0.476354 | + | 0.825069i | −0.999633 | − | 0.0270926i | \(-0.991375\pi\) |
0.523279 | + | 0.852161i | \(0.324708\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −92.7710 | − | 160.684i | −0.0977566 | − | 0.169319i | ||||
\(950\) | −234.574 | − | 88.5961i | −0.246920 | − | 0.0932590i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 255.784 | + | 147.677i | 0.268680 | + | 0.155123i | ||||
\(953\) | −931.541 | −0.977483 | −0.488742 | − | 0.872429i | \(-0.662544\pi\) | ||||
−0.488742 | + | 0.872429i | \(0.662544\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −291.502 | + | 104.112i | −0.305238 | + | 0.109017i | ||||
\(956\) | −100.434 | − | 57.9858i | −0.105057 | − | 0.0606546i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 985.902 | − | 569.211i | 1.02913 | − | 0.594166i | ||||
\(959\) | −888.716 | + | 513.101i | −0.926711 | + | 0.535037i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1243.32 | + | 2153.48i | −1.29377 | + | 2.24088i | ||||
\(962\) | −45.2385 | −0.0470255 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 314.080 | 0.325809 | ||||||||
\(965\) | 201.833 | − | 1105.62i | 0.209154 | − | 1.14572i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1318.94 | + | 761.492i | −1.36395 | + | 0.787479i | −0.990148 | − | 0.140028i | \(-0.955281\pi\) |
−0.373806 | + | 0.927507i | \(0.621948\pi\) | |||||||
\(968\) | 163.279 | + | 282.808i | 0.168677 | + | 0.292157i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 178.566 | − | 978.169i | 0.184089 | − | 1.00842i | ||||
\(971\) | 11.0650i | 0.0113955i | 0.999984 | + | 0.00569775i | \(0.00181366\pi\) | ||||
−0.999984 | + | 0.00569775i | \(0.998186\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | − | 1255.57i | − | 1.29041i | ||||||
\(974\) | −584.726 | − | 337.592i | −0.600334 | − | 0.346603i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −231.336 | − | 400.686i | −0.237025 | − | 0.410539i | ||||
\(977\) | 273.583 | + | 473.860i | 0.280024 | + | 0.485015i | 0.971390 | − | 0.237489i | \(-0.0763244\pi\) |
−0.691367 | + | 0.722504i | \(0.742991\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −103.877 | + | 179.920i | −0.106105 | + | 0.183779i | ||||
\(980\) | 133.545 | + | 373.914i | 0.136271 | + | 0.381545i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | − | 508.244i | − | 0.517560i | ||||||
\(983\) | −703.023 | + | 1217.67i | −0.715181 | + | 1.23873i | 0.247709 | + | 0.968835i | \(0.420322\pi\) |
−0.962890 | + | 0.269895i | \(0.913011\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 842.523 | − | 991.871i | 0.855354 | − | 1.00698i | ||||
\(986\) | 243.738 | − | 140.722i | 0.247198 | − | 0.142720i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 18.8969 | + | 10.9102i | 0.0191265 | + | 0.0110427i | ||||
\(989\) | − | 29.1372i | − | 0.0294612i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −700.700 | −0.707063 | −0.353532 | − | 0.935423i | \(-0.615019\pi\) | ||||
−0.353532 | + | 0.935423i | \(0.615019\pi\) | |||||||
\(992\) | −166.075 | + | 287.651i | −0.167415 | + | 0.289971i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −683.736 | − | 1184.26i | −0.687863 | − | 1.19141i | ||||
\(995\) | 88.0788 | − | 103.692i | 0.0885214 | − | 0.104213i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −471.260 | − | 272.082i | −0.472678 | − | 0.272901i | 0.244682 | − | 0.969603i | \(-0.421316\pi\) |
−0.717360 | + | 0.696703i | \(0.754650\pi\) | |||||||
\(998\) | −548.864 | −0.549964 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 810.3.j.g.269.10 | 24 | ||
3.2 | odd | 2 | inner | 810.3.j.g.269.5 | 24 | ||
5.4 | even | 2 | 810.3.j.h.269.5 | 24 | |||
9.2 | odd | 6 | 810.3.b.c.809.22 | yes | 24 | ||
9.4 | even | 3 | 810.3.j.h.539.10 | 24 | |||
9.5 | odd | 6 | 810.3.j.h.539.5 | 24 | |||
9.7 | even | 3 | 810.3.b.c.809.3 | ✓ | 24 | ||
15.14 | odd | 2 | 810.3.j.h.269.10 | 24 | |||
45.4 | even | 6 | inner | 810.3.j.g.539.5 | 24 | ||
45.14 | odd | 6 | inner | 810.3.j.g.539.10 | 24 | ||
45.29 | odd | 6 | 810.3.b.c.809.4 | yes | 24 | ||
45.34 | even | 6 | 810.3.b.c.809.21 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
810.3.b.c.809.3 | ✓ | 24 | 9.7 | even | 3 | ||
810.3.b.c.809.4 | yes | 24 | 45.29 | odd | 6 | ||
810.3.b.c.809.21 | yes | 24 | 45.34 | even | 6 | ||
810.3.b.c.809.22 | yes | 24 | 9.2 | odd | 6 | ||
810.3.j.g.269.5 | 24 | 3.2 | odd | 2 | inner | ||
810.3.j.g.269.10 | 24 | 1.1 | even | 1 | trivial | ||
810.3.j.g.539.5 | 24 | 45.4 | even | 6 | inner | ||
810.3.j.g.539.10 | 24 | 45.14 | odd | 6 | inner | ||
810.3.j.h.269.5 | 24 | 5.4 | even | 2 | |||
810.3.j.h.269.10 | 24 | 15.14 | odd | 2 | |||
810.3.j.h.539.5 | 24 | 9.5 | odd | 6 | |||
810.3.j.h.539.10 | 24 | 9.4 | even | 3 |