Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [666,2,Mod(17,666)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(666, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("666.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 666 = 2 \cdot 3^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 666.bs (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: | \(5.31803677462\) |
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 | 611.5 | ||
Character | \(\chi\) | \(=\) | 666.611 |
Dual form | 666.2.bs.a.557.5 |
$q$-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 \(\left(\mathbb{Z}/666\mathbb{Z}\right)^\times\).
\(n\) | \(371\) | \(631\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{35}{36}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0871557 | + | 0.996195i | 0.0616284 | + | 0.704416i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.984808 | + | 0.173648i | −0.492404 | + | 0.0868241i | ||||
\(5\) | 0.309586 | − | 0.144362i | 0.138451 | − | 0.0645608i | −0.352158 | − | 0.935941i | \(-0.614552\pi\) |
0.490609 | + | 0.871380i | \(0.336774\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.12726 | − | 0.774261i | −0.804031 | − | 0.292643i | −0.0928749 | − | 0.995678i | \(-0.529606\pi\) |
−0.711156 | + | 0.703035i | \(0.751828\pi\) | |||||||
\(8\) | −0.258819 | − | 0.965926i | −0.0915064 | − | 0.341506i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.170795 | + | 0.295826i | 0.0540102 | + | 0.0935484i | ||||
\(11\) | 2.53348 | − | 4.38812i | 0.763873 | − | 1.32307i | −0.176967 | − | 0.984217i | \(-0.556629\pi\) |
0.940840 | − | 0.338850i | \(-0.110038\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.447015 | − | 0.638404i | 0.123980 | − | 0.177061i | −0.752364 | − | 0.658748i | \(-0.771087\pi\) |
0.876344 | + | 0.481686i | \(0.159975\pi\) | |||||||
\(14\) | 0.585911 | − | 2.18665i | 0.156591 | − | 0.584407i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.939693 | − | 0.342020i | 0.234923 | − | 0.0855050i | ||||
\(17\) | −3.48398 | − | 4.97563i | −0.844989 | − | 1.20677i | −0.976514 | − | 0.215456i | \(-0.930876\pi\) |
0.131525 | − | 0.991313i | \(-0.458013\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.68686 | + | 0.497536i | 1.30466 | + | 0.114143i | 0.718199 | − | 0.695838i | \(-0.244967\pi\) |
0.586457 | + | 0.809981i | \(0.300522\pi\) | |||||||
\(20\) | −0.279814 | + | 0.195928i | −0.0625684 | + | 0.0438109i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.59223 | + | 2.14139i | 0.979066 | + | 0.456546i | ||||
\(23\) | −2.40525 | − | 0.644485i | −0.501529 | − | 0.134384i | −0.000819621 | − | 1.00000i | \(-0.500261\pi\) |
−0.500710 | + | 0.865615i | \(0.666928\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.13894 | + | 3.74084i | −0.627787 | + | 0.748167i | ||||
\(26\) | 0.674935 | + | 0.389674i | 0.132366 | + | 0.0764213i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.22940 | + | 0.393103i | 0.421316 | + | 0.0742894i | ||||
\(29\) | 10.2511 | − | 2.74678i | 1.90359 | − | 0.510065i | 0.907683 | − | 0.419656i | \(-0.137849\pi\) |
0.995905 | − | 0.0904086i | \(-0.0288173\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.79672 | − | 4.79672i | 0.861516 | − | 0.861516i | −0.129998 | − | 0.991514i | \(-0.541497\pi\) |
0.991514 | + | 0.129998i | \(0.0414972\pi\) | |||||||
\(32\) | 0.422618 | + | 0.906308i | 0.0747091 | + | 0.160214i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.65305 | − | 3.90437i | 0.797992 | − | 0.669595i | ||||
\(35\) | −0.770346 | + | 0.0673965i | −0.130212 | + | 0.0113921i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.86851 | + | 3.64659i | −0.800377 | + | 0.599496i | ||||
\(38\) | 5.70858i | 0.926055i | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.219570 | − | 0.261673i | −0.0347171 | − | 0.0413742i | ||||
\(41\) | −1.94300 | − | 11.0193i | −0.303445 | − | 1.72092i | −0.630735 | − | 0.775999i | \(-0.717246\pi\) |
0.327289 | − | 0.944924i | \(-0.393865\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.24522 | + | 5.24522i | 0.799888 | + | 0.799888i | 0.983078 | − | 0.183190i | \(-0.0586422\pi\) |
−0.183190 | + | 0.983078i | \(0.558642\pi\) | |||||||
\(44\) | −1.73300 | + | 4.76138i | −0.261260 | + | 0.717806i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.432401 | − | 2.45227i | 0.0637540 | − | 0.361567i | ||||
\(47\) | −1.12230 | + | 0.647958i | −0.163704 | + | 0.0945144i | −0.579614 | − | 0.814891i | \(-0.696797\pi\) |
0.415910 | + | 0.909406i | \(0.363463\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.43654 | − | 1.20540i | −0.205219 | − | 0.172199i | ||||
\(50\) | −4.00018 | − | 2.80096i | −0.565711 | − | 0.396115i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.329366 | + | 0.706329i | −0.0456749 | + | 0.0979502i | ||||
\(53\) | −1.91222 | − | 5.25379i | −0.262664 | − | 0.721663i | −0.998986 | − | 0.0450316i | \(-0.985661\pi\) |
0.736322 | − | 0.676632i | \(-0.236561\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.150851 | − | 1.72424i | 0.0203408 | − | 0.232496i | ||||
\(56\) | −0.197302 | + | 2.25517i | −0.0263656 | + | 0.301360i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.62978 | + | 9.97273i | 0.476613 | + | 1.30948i | ||||
\(59\) | −0.911581 | + | 1.95489i | −0.118678 | + | 0.254505i | −0.956669 | − | 0.291179i | \(-0.905952\pi\) |
0.837991 | + | 0.545684i | \(0.183730\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.57678 | + | 1.80428i | 0.329922 | + | 0.231014i | 0.726787 | − | 0.686863i | \(-0.241013\pi\) |
−0.396864 | + | 0.917877i | \(0.629902\pi\) | |||||||
\(62\) | 5.19653 | + | 4.36040i | 0.659959 | + | 0.553772i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.866025 | + | 0.500000i | −0.108253 | + | 0.0625000i | ||||
\(65\) | 0.0462282 | − | 0.262173i | 0.00573390 | − | 0.0325186i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.75464 | + | 4.82082i | −0.214363 | + | 0.588957i | −0.999540 | − | 0.0303134i | \(-0.990349\pi\) |
0.785177 | + | 0.619271i | \(0.212572\pi\) | |||||||
\(68\) | 4.29506 | + | 4.29506i | 0.520852 | + | 0.520852i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.134280 | − | 0.761540i | −0.0160495 | − | 0.0910215i | ||||
\(71\) | 6.66465 | + | 7.94262i | 0.790949 | + | 0.942616i | 0.999372 | − | 0.0354228i | \(-0.0112778\pi\) |
−0.208424 | + | 0.978039i | \(0.566833\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 14.3898i | − | 1.68420i | −0.539319 | − | 0.842101i | \(-0.681318\pi\) | ||
0.539319 | − | 0.842101i | \(-0.318682\pi\) | |||||||
\(74\) | −4.05704 | − | 4.53216i | −0.471621 | − | 0.526853i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5.68686 | + | 0.497536i | −0.652328 | + | 0.0570713i | ||||
\(77\) | −8.78693 | + | 7.37311i | −1.00136 | + | 0.840244i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.92544 | − | 4.12911i | −0.216629 | − | 0.464562i | 0.767722 | − | 0.640783i | \(-0.221390\pi\) |
−0.984351 | + | 0.176222i | \(0.943612\pi\) | |||||||
\(80\) | 0.241541 | − | 0.241541i | 0.0270051 | − | 0.0270051i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 10.8080 | − | 2.89600i | 1.19354 | − | 0.319809i | ||||
\(83\) | 4.84692 | + | 0.854643i | 0.532018 | + | 0.0938092i | 0.433203 | − | 0.901297i | \(-0.357383\pi\) |
0.0988158 | + | 0.995106i | \(0.468495\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.79688 | − | 1.03743i | −0.194900 | − | 0.112525i | ||||
\(86\) | −4.76811 | + | 5.68241i | −0.514158 | + | 0.612750i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.89431 | − | 1.31143i | −0.521735 | − | 0.139798i | ||||
\(89\) | −8.92392 | − | 4.16129i | −0.945933 | − | 0.441096i | −0.112460 | − | 0.993656i | \(-0.535873\pi\) |
−0.833473 | + | 0.552560i | \(0.813651\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.44521 | + | 1.01195i | −0.151499 | + | 0.106081i | ||||
\(92\) | 2.48062 | + | 0.217026i | 0.258623 | + | 0.0226266i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.743307 | − | 1.06155i | −0.0766663 | − | 0.109491i | ||||
\(95\) | 1.83240 | − | 0.666938i | 0.188000 | − | 0.0684264i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.93104 | + | 10.9388i | −0.297603 | + | 1.11067i | 0.641526 | + | 0.767101i | \(0.278302\pi\) |
−0.939128 | + | 0.343566i | \(0.888365\pi\) | |||||||
\(98\) | 1.07561 | − | 1.53613i | 0.108653 | − | 0.155172i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.44166 | − | 4.22908i | 0.244166 | − | 0.422908i | ||||
\(101\) | 5.77814 | + | 10.0080i | 0.574946 | + | 0.995836i | 0.996047 | + | 0.0888223i | \(0.0283103\pi\) |
−0.421101 | + | 0.907014i | \(0.638356\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.15240 | + | 4.30083i | 0.113550 | + | 0.423774i | 0.999174 | − | 0.0406283i | \(-0.0129360\pi\) |
−0.885625 | + | 0.464402i | \(0.846269\pi\) | |||||||
\(104\) | −0.732347 | − | 0.266553i | −0.0718125 | − | 0.0261376i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.06713 | − | 2.36284i | 0.492164 | − | 0.229500i | ||||
\(107\) | 2.17068 | − | 0.382750i | 0.209848 | − | 0.0370019i | −0.0677358 | − | 0.997703i | \(-0.521578\pi\) |
0.277584 | + | 0.960701i | \(0.410466\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.0347412 | − | 0.397093i | −0.00332760 | − | 0.0380347i | 0.994349 | − | 0.106157i | \(-0.0338547\pi\) |
−0.997677 | + | 0.0681225i | \(0.978299\pi\) | |||||||
\(110\) | 1.73082 | 0.165028 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.26379 | −0.213908 | ||||||||
\(113\) | −1.04794 | − | 11.9780i | −0.0985820 | − | 1.12680i | −0.870866 | − | 0.491520i | \(-0.836441\pi\) |
0.772284 | − | 0.635277i | \(-0.219114\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.837671 | + | 0.147704i | −0.0781132 | + | 0.0137735i | ||||
\(116\) | −9.61842 | + | 4.48514i | −0.893048 | + | 0.416435i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.02690 | − | 0.737732i | −0.186592 | − | 0.0679138i | ||||
\(119\) | 3.55890 | + | 13.2820i | 0.326244 | + | 1.21756i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.33704 | − | 12.7081i | −0.667004 | − | 1.15528i | ||||
\(122\) | −1.57283 | + | 2.72422i | −0.142397 | + | 0.246640i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.89090 | + | 5.55678i | −0.349413 | + | 0.499014i | ||||
\(125\) | −0.873785 | + | 3.26101i | −0.0781537 | + | 0.291674i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −16.2722 | + | 5.92261i | −1.44393 | + | 0.525546i | −0.940888 | − | 0.338717i | \(-0.890007\pi\) |
−0.503039 | + | 0.864264i | \(0.667785\pi\) | |||||||
\(128\) | −0.573576 | − | 0.819152i | −0.0506975 | − | 0.0724035i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.265205 | + | 0.0232024i | 0.0232600 | + | 0.00203498i | ||||
\(131\) | −11.9410 | + | 8.36120i | −1.04329 | + | 0.730522i | −0.963884 | − | 0.266321i | \(-0.914192\pi\) |
−0.0794084 | + | 0.996842i | \(0.525303\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −11.7122 | − | 5.46151i | −1.01558 | − | 0.473573i | ||||
\(134\) | −4.95541 | − | 1.32780i | −0.428082 | − | 0.114704i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.90437 | + | 4.65305i | −0.334797 | + | 0.398996i | ||||
\(137\) | 1.17284 | + | 0.677141i | 0.100203 | + | 0.0578520i | 0.549264 | − | 0.835649i | \(-0.314908\pi\) |
−0.449061 | + | 0.893501i | \(0.648242\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −16.2072 | − | 2.85776i | −1.37467 | − | 0.242392i | −0.562978 | − | 0.826472i | \(-0.690345\pi\) |
−0.811696 | + | 0.584079i | \(0.801456\pi\) | |||||||
\(140\) | 0.746939 | − | 0.200142i | 0.0631279 | − | 0.0169151i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −7.33154 | + | 7.33154i | −0.615249 | + | 0.615249i | ||||
\(143\) | −1.66889 | − | 3.57894i | −0.139559 | − | 0.299286i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.77708 | − | 2.33024i | 0.230624 | − | 0.193516i | ||||
\(146\) | 14.3351 | − | 1.25416i | 1.18638 | − | 0.103795i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.16132 | − | 4.43660i | 0.342058 | − | 0.364686i | ||||
\(149\) | − | 13.4310i | − | 1.10031i | −0.835063 | − | 0.550154i | \(-0.814569\pi\) | ||
0.835063 | − | 0.550154i | \(-0.185431\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.28184 | + | 5.10290i | 0.348451 | + | 0.415268i | 0.911594 | − | 0.411092i | \(-0.134852\pi\) |
−0.563143 | + | 0.826360i | \(0.690408\pi\) | |||||||
\(152\) | −0.991285 | − | 5.62186i | −0.0804039 | − | 0.455993i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −8.11088 | − | 8.11088i | −0.653594 | − | 0.653594i | ||||
\(155\) | 0.792531 | − | 2.17746i | 0.0636576 | − | 0.174898i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.82884 | + | 16.0431i | −0.225766 | + | 1.28038i | 0.635450 | + | 0.772142i | \(0.280815\pi\) |
−0.861216 | + | 0.508239i | \(0.830297\pi\) | |||||||
\(158\) | 3.94559 | − | 2.27799i | 0.313894 | − | 0.181227i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.261673 | + | 0.219570i | 0.0206871 | + | 0.0173585i | ||||
\(161\) | 4.61760 | + | 3.23328i | 0.363918 | + | 0.254818i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.60004 | − | 20.5874i | 0.751933 | − | 1.61253i | −0.0379582 | − | 0.999279i | \(-0.512085\pi\) |
0.789891 | − | 0.613247i | \(-0.210137\pi\) | |||||||
\(164\) | 3.82696 | + | 10.5145i | 0.298835 | + | 0.821043i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.428954 | + | 4.90296i | −0.0332933 | + | 0.380544i | ||||
\(167\) | 0.0349366 | − | 0.399328i | 0.00270348 | − | 0.0309009i | −0.994723 | − | 0.102596i | \(-0.967285\pi\) |
0.997427 | + | 0.0716948i | \(0.0228408\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.23852 | + | 11.6453i | 0.326040 | + | 0.895789i | ||||
\(170\) | 0.876875 | − | 1.88047i | 0.0672533 | − | 0.144225i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −6.07635 | − | 4.25471i | −0.463317 | − | 0.324418i | ||||
\(173\) | 8.98813 | + | 7.54194i | 0.683355 | + | 0.573403i | 0.916984 | − | 0.398923i | \(-0.130616\pi\) |
−0.233630 | + | 0.972326i | \(0.575060\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 9.57373 | − | 5.52740i | 0.723706 | − | 0.417832i | ||||
\(176\) | 0.879868 | − | 4.98998i | 0.0663226 | − | 0.376134i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 3.36768 | − | 9.25264i | 0.252419 | − | 0.693514i | ||||
\(179\) | 3.02271 | + | 3.02271i | 0.225928 | + | 0.225928i | 0.810989 | − | 0.585061i | \(-0.198930\pi\) |
−0.585061 | + | 0.810989i | \(0.698930\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.44365 | − | 13.8586i | −0.181635 | − | 1.03010i | −0.930203 | − | 0.367045i | \(-0.880369\pi\) |
0.748568 | − | 0.663058i | \(-0.230742\pi\) | |||||||
\(182\) | −1.13406 | − | 1.35151i | −0.0840618 | − | 0.100181i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.49010i | 0.183572i | ||||||||
\(185\) | −0.980790 | + | 1.83176i | −0.0721091 | + | 0.134674i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −30.6602 | + | 2.68242i | −2.24210 | + | 0.196158i | ||||
\(188\) | 0.992729 | − | 0.832999i | 0.0724022 | − | 0.0607527i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.824105 | + | 1.76730i | 0.0597868 | + | 0.128213i | ||||
\(191\) | −13.4153 | + | 13.4153i | −0.970695 | + | 0.970695i | −0.999583 | − | 0.0288874i | \(-0.990804\pi\) |
0.0288874 | + | 0.999583i | \(0.490804\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.0113745 | + | 0.00304780i | −0.000818756 | + | 0.000219385i | −0.259228 | − | 0.965816i | \(-0.583468\pi\) |
0.258410 | + | 0.966035i | \(0.416802\pi\) | |||||||
\(194\) | −11.1526 | − | 1.96651i | −0.800713 | − | 0.141187i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.62403 | + | 0.937632i | 0.116002 | + | 0.0669737i | ||||
\(197\) | 7.53780 | − | 8.98320i | 0.537046 | − | 0.640026i | −0.427477 | − | 0.904026i | \(-0.640597\pi\) |
0.964523 | + | 0.264000i | \(0.0850419\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 14.6608 | + | 3.92834i | 1.03927 | + | 0.278473i | 0.737813 | − | 0.675006i | \(-0.235859\pi\) |
0.301462 | + | 0.953478i | \(0.402525\pi\) | |||||||
\(200\) | 4.42579 | + | 2.06378i | 0.312950 | + | 0.145931i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −9.46635 | + | 6.62841i | −0.666050 | + | 0.466373i | ||||
\(203\) | −23.9336 | − | 2.09392i | −1.67981 | − | 0.146964i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.19229 | − | 3.13092i | −0.153116 | − | 0.218673i | ||||
\(206\) | −4.18403 | + | 1.52286i | −0.291515 | + | 0.106103i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.201710 | − | 0.752792i | 0.0139861 | − | 0.0521967i | ||||
\(209\) | 16.5908 | − | 23.6941i | 1.14761 | − | 1.63896i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.00528 | − | 6.93735i | 0.275735 | − | 0.477587i | −0.694585 | − | 0.719410i | \(-0.744412\pi\) |
0.970320 | + | 0.241824i | \(0.0777455\pi\) | |||||||
\(212\) | 2.79548 | + | 4.84192i | 0.191995 | + | 0.332544i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.570481 | + | 2.12907i | 0.0389973 | + | 0.145540i | ||||
\(215\) | 2.38106 | + | 0.866634i | 0.162387 | + | 0.0591039i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −13.9178 | + | 6.48998i | −0.944802 | + | 0.440568i | ||||
\(218\) | 0.392554 | − | 0.0692179i | 0.0265871 | − | 0.00468803i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.150851 | + | 1.72424i | 0.0101704 | + | 0.116248i | ||||
\(221\) | −4.73386 | −0.318434 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 20.9461 | 1.40265 | 0.701326 | − | 0.712841i | \(-0.252592\pi\) | ||||
0.701326 | + | 0.712841i | \(0.252592\pi\) | |||||||
\(224\) | −0.197302 | − | 2.25517i | −0.0131828 | − | 0.150680i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 11.8411 | − | 2.08791i | 0.787658 | − | 0.138885i | ||||
\(227\) | 4.11182 | − | 1.91737i | 0.272911 | − | 0.127261i | −0.281345 | − | 0.959607i | \(-0.590781\pi\) |
0.554256 | + | 0.832346i | \(0.313003\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.50358 | + | 2.73108i | 0.495850 | + | 0.180475i | 0.577827 | − | 0.816160i | \(-0.303901\pi\) |
−0.0819763 | + | 0.996634i | \(0.526123\pi\) | |||||||
\(230\) | −0.220150 | − | 0.821610i | −0.0145162 | − | 0.0541754i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.30638 | − | 9.19092i | −0.348381 | − | 0.603413i | ||||
\(233\) | −9.02974 | + | 15.6400i | −0.591558 | + | 1.02461i | 0.402465 | + | 0.915435i | \(0.368153\pi\) |
−0.994023 | + | 0.109173i | \(0.965180\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.253907 | + | 0.362616i | −0.0165630 | + | 0.0236545i | ||||
\(236\) | 0.558269 | − | 2.08349i | 0.0363402 | − | 0.135623i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −12.9213 | + | 4.70296i | −0.837562 | + | 0.304848i | ||||
\(239\) | 5.52851 | + | 7.89553i | 0.357609 | + | 0.510719i | 0.957137 | − | 0.289635i | \(-0.0935338\pi\) |
−0.599528 | + | 0.800354i | \(0.704645\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.30139 | − | 0.551300i | −0.405908 | − | 0.0355124i | −0.117626 | − | 0.993058i | \(-0.537529\pi\) |
−0.288282 | + | 0.957546i | \(0.593084\pi\) | |||||||
\(242\) | 12.0203 | − | 8.41671i | 0.772694 | − | 0.541046i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.85094 | − | 1.32941i | −0.182513 | − | 0.0851071i | ||||
\(245\) | −0.618745 | − | 0.165792i | −0.0395302 | − | 0.0105921i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.85974 | − | 3.40811i | 0.181961 | − | 0.216853i | ||||
\(248\) | −5.87475 | − | 3.39179i | −0.373047 | − | 0.215379i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −3.32476 | − | 0.586244i | −0.210276 | − | 0.0370773i | ||||
\(251\) | 18.1723 | − | 4.86925i | 1.14702 | − | 0.307344i | 0.365252 | − | 0.930909i | \(-0.380983\pi\) |
0.781772 | + | 0.623564i | \(0.214316\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −8.92173 | + | 8.92173i | −0.560904 | + | 0.560904i | ||||
\(254\) | −7.31829 | − | 15.6941i | −0.459190 | − | 0.984737i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −1.56209 | + | 0.136666i | −0.0974408 | + | 0.00852497i | −0.135772 | − | 0.990740i | \(-0.543351\pi\) |
0.0383310 | + | 0.999265i | \(0.487796\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 13.1800 | − | 3.98778i | 0.818966 | − | 0.247788i | ||||
\(260\) | 0.266218i | 0.0165101i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −9.37011 | − | 11.1669i | −0.578888 | − | 0.689891i | ||||
\(263\) | 1.39543 | + | 7.91389i | 0.0860461 | + | 0.487991i | 0.997126 | + | 0.0757617i | \(0.0241388\pi\) |
−0.911080 | + | 0.412230i | \(0.864750\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.35045 | − | 1.35045i | −0.0829573 | − | 0.0829573i | ||||
\(266\) | 4.41994 | − | 12.1437i | 0.271004 | − | 0.744576i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.890852 | − | 5.05227i | 0.0544175 | − | 0.308617i | ||||
\(269\) | −21.4858 | + | 12.4048i | −1.31001 | + | 0.756337i | −0.982098 | − | 0.188370i | \(-0.939680\pi\) |
−0.327916 | + | 0.944707i | \(0.606346\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 23.5933 | + | 19.7971i | 1.43319 | + | 1.20259i | 0.943798 | + | 0.330523i | \(0.107225\pi\) |
0.489391 | + | 0.872065i | \(0.337219\pi\) | |||||||
\(272\) | −4.97563 | − | 3.48398i | −0.301692 | − | 0.211247i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.572344 | + | 1.22740i | −0.0345766 | + | 0.0741497i | ||||
\(275\) | 8.46280 | + | 23.2513i | 0.510326 | + | 1.40211i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.271006 | − | 3.09761i | 0.0162832 | − | 0.186117i | −0.983697 | − | 0.179833i | \(-0.942444\pi\) |
0.999980 | − | 0.00628411i | \(-0.00200031\pi\) | |||||||
\(278\) | 1.43434 | − | 16.3946i | 0.0860260 | − | 0.983281i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.264480 | + | 0.726653i | 0.0158057 | + | 0.0434258i | ||||
\(281\) | −9.80568 | + | 21.0283i | −0.584958 | + | 1.25445i | 0.361727 | + | 0.932284i | \(0.382187\pi\) |
−0.946685 | + | 0.322162i | \(0.895591\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 15.9412 | + | 11.1622i | 0.947607 | + | 0.663522i | 0.941697 | − | 0.336461i | \(-0.109230\pi\) |
0.00590970 | + | 0.999983i | \(0.498119\pi\) | |||||||
\(284\) | −7.94262 | − | 6.66465i | −0.471308 | − | 0.395474i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.41987 | − | 1.97446i | 0.202221 | − | 0.116752i | ||||
\(287\) | −4.39853 | + | 24.9453i | −0.259637 | + | 1.47248i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.80450 | + | 18.6952i | −0.400265 | + | 1.09972i | ||||
\(290\) | 2.56341 | + | 2.56341i | 0.150529 | + | 0.150529i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.49877 | + | 14.1712i | 0.146229 | + | 0.829308i | ||||
\(293\) | −4.96420 | − | 5.91611i | −0.290012 | − | 0.345623i | 0.601292 | − | 0.799030i | \(-0.294653\pi\) |
−0.891304 | + | 0.453407i | \(0.850208\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.736805i | 0.0428985i | ||||||||
\(296\) | 4.78240 | + | 3.75881i | 0.277971 | + | 0.218476i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 13.3799 | − | 1.17059i | 0.775074 | − | 0.0678102i | ||||
\(299\) | −1.48663 | + | 1.24743i | −0.0859738 | + | 0.0721406i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.09680 | − | 15.2191i | −0.409053 | − | 0.877216i | ||||
\(302\) | −4.71029 | + | 4.71029i | −0.271047 | + | 0.271047i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 5.51407 | − | 1.47749i | 0.316254 | − | 0.0847399i | ||||
\(305\) | 1.05820 | + | 0.186590i | 0.0605926 | + | 0.0106841i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 22.8458 | + | 13.1900i | 1.30388 | + | 0.752796i | 0.981067 | − | 0.193667i | \(-0.0620382\pi\) |
0.322813 | + | 0.946463i | \(0.395371\pi\) | |||||||
\(308\) | 7.37311 | − | 8.78693i | 0.420122 | − | 0.500682i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.23825 | + | 0.599737i | 0.127124 | + | 0.0340628i | ||||
\(311\) | 24.8659 | + | 11.5952i | 1.41002 | + | 0.657502i | 0.970582 | − | 0.240772i | \(-0.0774005\pi\) |
0.439436 | + | 0.898274i | \(0.355178\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.40090 | − | 2.38133i | 0.192230 | − | 0.134601i | −0.473499 | − | 0.880794i | \(-0.657009\pi\) |
0.665729 | + | 0.746193i | \(0.268121\pi\) | |||||||
\(314\) | −16.2286 | − | 1.41982i | −0.915835 | − | 0.0801251i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.61320 | + | 3.73203i | 0.147004 | + | 0.209943i | ||||
\(317\) | 21.0857 | − | 7.67458i | 1.18429 | − | 0.431047i | 0.326576 | − | 0.945171i | \(-0.394105\pi\) |
0.857716 | + | 0.514124i | \(0.171883\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 13.9178 | − | 51.9421i | 0.779249 | − | 2.90820i | ||||
\(320\) | −0.195928 | + | 0.279814i | −0.0109527 | + | 0.0156421i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.81853 | + | 4.88183i | −0.157070 | + | 0.272054i | ||||
\(323\) | −17.3373 | − | 30.0292i | −0.964675 | − | 1.67087i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.985014 | + | 3.67612i | 0.0546387 | + | 0.203914i | ||||
\(326\) | 21.3457 | + | 7.76920i | 1.18223 | + | 0.430296i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −10.1409 | + | 4.72879i | −0.559939 | + | 0.261104i | ||||
\(329\) | 2.88911 | − | 0.509428i | 0.159282 | − | 0.0280857i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.699671 | + | 7.99727i | 0.0384574 | + | 0.439570i | 0.990876 | + | 0.134777i | \(0.0430318\pi\) |
−0.952419 | + | 0.304793i | \(0.901413\pi\) | |||||||
\(332\) | −4.92169 | −0.270113 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.400853 | 0.0219337 | ||||||||
\(335\) | 0.152734 | + | 1.74576i | 0.00834478 | + | 0.0953812i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 21.1895 | − | 3.73628i | 1.15427 | − | 0.203528i | 0.436428 | − | 0.899739i | \(-0.356243\pi\) |
0.717837 | + | 0.696211i | \(0.245132\pi\) | |||||||
\(338\) | −11.2315 | + | 5.23735i | −0.610914 | + | 0.284874i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.94973 | + | 0.709645i | 0.105739 | + | 0.0384859i | ||||
\(341\) | −8.89616 | − | 33.2009i | −0.481754 | − | 1.79793i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0459 | + | 17.3999i | 0.542425 | + | 0.939508i | ||||
\(344\) | 3.70893 | − | 6.42405i | 0.199972 | − | 0.346362i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −6.72987 | + | 9.61125i | −0.361800 | + | 0.516704i | ||||
\(347\) | 2.45271 | − | 9.15364i | 0.131668 | − | 0.491393i | −0.868321 | − | 0.496003i | \(-0.834801\pi\) |
0.999989 | + | 0.00460965i | \(0.00146730\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 21.7238 | − | 7.90681i | 1.16285 | − | 0.423242i | 0.312733 | − | 0.949841i | \(-0.398755\pi\) |
0.850114 | + | 0.526599i | \(0.176533\pi\) | |||||||
\(350\) | 6.34077 | + | 9.05556i | 0.338928 | + | 0.484040i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 5.04768 | + | 0.441615i | 0.269042 | + | 0.0235381i | ||||
\(353\) | 1.93917 | − | 1.35782i | 0.103211 | − | 0.0722694i | −0.520831 | − | 0.853660i | \(-0.674378\pi\) |
0.624043 | + | 0.781390i | \(0.285489\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.20990 | + | 1.49680i | 0.170364 | + | 0.0794419i | ||||
\(356\) | 9.51094 | + | 2.54845i | 0.504079 | + | 0.135068i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.74776 | + | 3.27465i | −0.145223 | + | 0.173071i | ||||
\(359\) | −17.4532 | − | 10.0766i | −0.921144 | − | 0.531823i | −0.0371441 | − | 0.999310i | \(-0.511826\pi\) |
−0.884000 | + | 0.467487i | \(0.845159\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 13.3815 | + | 2.35952i | 0.704290 | + | 0.124185i | ||||
\(362\) | 13.5929 | − | 3.64221i | 0.714427 | − | 0.191430i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.24753 | − | 1.24753i | 0.0653885 | − | 0.0653885i | ||||
\(365\) | −2.07735 | − | 4.45489i | −0.108733 | − | 0.233180i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 17.1498 | − | 14.3904i | 0.895212 | − | 0.751172i | −0.0740363 | − | 0.997256i | \(-0.523588\pi\) |
0.969249 | + | 0.246083i | \(0.0791436\pi\) | |||||||
\(368\) | −2.48062 | + | 0.217026i | −0.129311 | + | 0.0113133i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.91027 | − | 0.817409i | −0.0993104 | − | 0.0424951i | ||||
\(371\) | 12.6568i | 0.657106i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 9.33849 | + | 11.1292i | 0.483529 | + | 0.576247i | 0.951559 | − | 0.307465i | \(-0.0994807\pi\) |
−0.468031 | + | 0.883712i | \(0.655036\pi\) | |||||||
\(374\) | −5.34443 | − | 30.3098i | −0.276354 | − | 1.56728i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.916351 | + | 0.916351i | 0.0472572 | + | 0.0472572i | ||||
\(377\) | 2.82886 | − | 7.77222i | 0.145694 | − | 0.400290i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.05138 | + | 22.9765i | −0.208105 | + | 1.18022i | 0.684372 | + | 0.729133i | \(0.260076\pi\) |
−0.892478 | + | 0.451091i | \(0.851035\pi\) | |||||||
\(380\) | −1.68875 | + | 0.974999i | −0.0866309 | + | 0.0500164i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −14.5334 | − | 12.1950i | −0.743596 | − | 0.623951i | ||||
\(383\) | −5.98356 | − | 4.18973i | −0.305745 | − | 0.214085i | 0.410627 | − | 0.911803i | \(-0.365310\pi\) |
−0.716372 | + | 0.697718i | \(0.754199\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.65591 | + | 3.55111i | −0.0843931 | + | 0.180981i | ||||
\(386\) | −0.00402755 | − | 0.0110656i | −0.000204997 | − | 0.000563225i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.987012 | − | 11.2816i | 0.0501079 | − | 0.572736i | ||||
\(389\) | 1.30017 | − | 14.8610i | 0.0659211 | − | 0.753482i | −0.889249 | − | 0.457424i | \(-0.848772\pi\) |
0.955170 | − | 0.296058i | \(-0.0956721\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.17311 | + | 14.2130i | 0.261616 | + | 0.718783i | ||||
\(392\) | −0.792521 | + | 1.69957i | −0.0400283 | + | 0.0858411i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 9.60597 | + | 6.72618i | 0.483942 | + | 0.338860i | ||||
\(395\) | −1.19218 | − | 1.00036i | −0.0599849 | − | 0.0503333i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −4.15013 | + | 2.39608i | −0.208289 | + | 0.120256i | −0.600516 | − | 0.799613i | \(-0.705038\pi\) |
0.392227 | + | 0.919868i | \(0.371705\pi\) | |||||||
\(398\) | −2.63562 | + | 14.9474i | −0.132112 | + | 0.749243i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.67019 | + | 4.58882i | −0.0835096 | + | 0.229441i | ||||
\(401\) | −4.96675 | − | 4.96675i | −0.248027 | − | 0.248027i | 0.572133 | − | 0.820161i | \(-0.306116\pi\) |
−0.820161 | + | 0.572133i | \(0.806116\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.918038 | − | 5.20645i | −0.0457307 | − | 0.259352i | ||||
\(404\) | −7.42823 | − | 8.85262i | −0.369568 | − | 0.440434i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | − | 24.0250i | − | 1.19234i | ||||||
\(407\) | 3.66742 | + | 30.6021i | 0.181787 | + | 1.51689i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −14.1609 | + | 1.23892i | −0.700210 | + | 0.0612604i | −0.431701 | − | 0.902017i | \(-0.642086\pi\) |
−0.268509 | + | 0.963277i | \(0.586531\pi\) | |||||||
\(410\) | 2.92794 | − | 2.45683i | 0.144600 | − | 0.121334i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −1.88173 | − | 4.03538i | −0.0927061 | − | 0.198809i | ||||
\(413\) | 3.45277 | − | 3.45277i | 0.169900 | − | 0.169900i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.62392 | − | 0.435127i | 0.0797149 | − | 0.0213595i | ||||
\(416\) | 0.767507 | + | 0.135332i | 0.0376301 | + | 0.00663521i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 25.0499 | + | 14.4626i | 1.22523 | + | 0.707388i | ||||
\(419\) | 5.58059 | − | 6.65069i | 0.272630 | − | 0.324907i | −0.612306 | − | 0.790621i | \(-0.709758\pi\) |
0.884936 | + | 0.465714i | \(0.154202\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 30.3902 | + | 8.14302i | 1.48113 | + | 0.396866i | 0.906730 | − | 0.421711i | \(-0.138570\pi\) |
0.574396 | + | 0.818578i | \(0.305237\pi\) | |||||||
\(422\) | 7.26003 | + | 3.38541i | 0.353413 | + | 0.164799i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4.57985 | + | 3.20685i | −0.222417 | + | 0.155738i | ||||
\(425\) | 29.5490 | + | 2.58520i | 1.43334 | + | 0.125401i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.08450 | − | 5.83328i | −0.197663 | − | 0.282292i | ||||
\(428\) | −2.07124 | + | 0.753871i | −0.100117 | + | 0.0364397i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.655813 | + | 2.44753i | −0.0316261 | + | 0.118030i | ||||
\(431\) | −0.593085 | + | 0.847013i | −0.0285679 | + | 0.0407992i | −0.833182 | − | 0.552999i | \(-0.813483\pi\) |
0.804614 | + | 0.593798i | \(0.202372\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.98008 | − | 6.89370i | 0.191270 | − | 0.331290i | −0.754401 | − | 0.656414i | \(-0.772073\pi\) |
0.945672 | + | 0.325124i | \(0.105406\pi\) | |||||||
\(434\) | −7.67830 | − | 13.2992i | −0.368570 | − | 0.638382i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.103168 | + | 0.385028i | 0.00494085 | + | 0.0184395i | ||||
\(437\) | −13.3577 | − | 4.86179i | −0.638984 | − | 0.232571i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 10.6925 | − | 4.98598i | 0.510324 | − | 0.237968i | −0.150361 | − | 0.988631i | \(-0.548044\pi\) |
0.660685 | + | 0.750663i | \(0.270266\pi\) | |||||||
\(440\) | −1.70453 | + | 0.300555i | −0.0812603 | + | 0.0143284i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.412583 | − | 4.71584i | −0.0196246 | − | 0.224310i | ||||
\(443\) | 7.03829 | 0.334399 | 0.167200 | − | 0.985923i | \(-0.446528\pi\) | ||||
0.167200 | + | 0.985923i | \(0.446528\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.36345 | −0.159443 | ||||||||
\(446\) | 1.82557 | + | 20.8664i | 0.0864432 | + | 0.988051i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.22940 | − | 0.393103i | 0.105329 | − | 0.0185724i | ||||
\(449\) | −36.9916 | + | 17.2495i | −1.74574 | + | 0.814054i | −0.759138 | + | 0.650930i | \(0.774379\pi\) |
−0.986606 | + | 0.163124i | \(0.947843\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −53.2764 | − | 19.3910i | −2.50869 | − | 0.913088i | ||||
\(452\) | 3.11198 | + | 11.6141i | 0.146375 | + | 0.546280i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.26845 | + | 3.92907i | 0.106464 | + | 0.184400i | ||||
\(455\) | −0.301330 | + | 0.521919i | −0.0141266 | + | 0.0244679i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −11.5615 | + | 16.5115i | −0.540822 | + | 0.772375i | −0.992817 | − | 0.119646i | \(-0.961824\pi\) |
0.451994 | + | 0.892021i | \(0.350713\pi\) | |||||||
\(458\) | −2.06671 | + | 7.71305i | −0.0965708 | + | 0.360407i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.799296 | − | 0.290920i | 0.0372674 | − | 0.0135642i | ||||
\(461\) | −10.5405 | − | 15.0534i | −0.490921 | − | 0.701108i | 0.494892 | − | 0.868955i | \(-0.335208\pi\) |
−0.985813 | + | 0.167846i | \(0.946319\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.60748 | − | 0.753057i | −0.400023 | − | 0.0349975i | −0.114631 | − | 0.993408i | \(-0.536568\pi\) |
−0.285393 | + | 0.958411i | \(0.592124\pi\) | |||||||
\(464\) | 8.69346 | − | 6.08723i | 0.403584 | − | 0.282592i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −16.3674 | − | 7.63226i | −0.758207 | − | 0.353558i | ||||
\(467\) | 26.6178 | + | 7.13221i | 1.23172 | + | 0.330039i | 0.815250 | − | 0.579109i | \(-0.196599\pi\) |
0.416473 | + | 0.909148i | \(0.363266\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 7.46515 | − | 8.89662i | 0.344709 | − | 0.410808i | ||||
\(470\) | −0.383366 | − | 0.221336i | −0.0176833 | − | 0.0102095i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.12422 | + | 0.374557i | 0.0977749 | + | 0.0172404i | ||||
\(473\) | 36.3053 | − | 9.72797i | 1.66932 | − | 0.447292i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −19.7119 | + | 19.7119i | −0.904444 | + | 0.904444i | ||||
\(476\) | −5.81123 | − | 12.4622i | −0.266357 | − | 0.571205i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −7.38364 | + | 6.19561i | −0.337720 | + | 0.283381i | ||||
\(479\) | 20.5910 | − | 1.80148i | 0.940826 | − | 0.0823116i | 0.393586 | − | 0.919288i | \(-0.371234\pi\) |
0.547239 | + | 0.836976i | \(0.315679\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.151704 | + | 4.73816i | 0.00691711 | + | 0.216041i | ||||
\(482\) | − | 6.32546i | − | 0.288117i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 9.43232 | + | 11.2410i | 0.428742 | + | 0.510955i | ||||
\(485\) | 0.671741 | + | 3.80963i | 0.0305022 | + | 0.172987i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −23.7014 | − | 23.7014i | −1.07401 | − | 1.07401i | −0.997033 | − | 0.0769788i | \(-0.975473\pi\) |
−0.0769788 | − | 0.997033i | \(-0.524527\pi\) | |||||||
\(488\) | 1.07588 | − | 2.95596i | 0.0487028 | − | 0.133810i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.111234 | − | 0.630840i | 0.00502505 | − | 0.0284985i | ||||
\(491\) | −20.3797 | + | 11.7662i | −0.919723 | + | 0.531002i | −0.883547 | − | 0.468343i | \(-0.844851\pi\) |
−0.0361765 | + | 0.999345i | \(0.511518\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −49.3817 | − | 41.4362i | −2.22404 | − | 1.86619i | ||||
\(494\) | 3.64438 | + | 2.55183i | 0.163969 | + | 0.114812i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.86687 | − | 6.14801i | 0.128726 | − | 0.276054i | ||||
\(497\) | −8.02782 | − | 22.0562i | −0.360097 | − | 0.989358i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.80588 | − | 32.0714i | 0.125609 | − | 1.43571i | −0.627910 | − | 0.778286i | \(-0.716089\pi\) |
0.753518 | − | 0.657427i | \(-0.228355\pi\) | |||||||
\(500\) | 0.294242 | − | 3.36320i | 0.0131589 | − | 0.150407i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 6.43454 | + | 17.6788i | 0.287188 | + | 0.789041i | ||||
\(503\) | −6.50544 | + | 13.9510i | −0.290063 | + | 0.622042i | −0.996301 | − | 0.0859323i | \(-0.972613\pi\) |
0.706238 | + | 0.707975i | \(0.250391\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.23361 | + | 2.26420i | 0.143894 | + | 0.100756i | ||||
\(506\) | −9.66536 | − | 8.11020i | −0.429677 | − | 0.360542i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 14.9966 | − | 8.65827i | 0.665365 | − | 0.384149i | ||||
\(509\) | −0.856968 | + | 4.86011i | −0.0379845 | + | 0.215421i | −0.997892 | − | 0.0648962i | \(-0.979328\pi\) |
0.959908 | + | 0.280317i | \(0.0904395\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −11.1415 | + | 30.6110i | −0.492870 | + | 1.35415i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.272291 | − | 1.54424i | −0.0120102 | − | 0.0681135i | ||||
\(515\) | 0.977647 | + | 1.16511i | 0.0430803 | + | 0.0513411i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.56636i | 0.288788i | ||||||||
\(518\) | 5.12132 | + | 12.7823i | 0.225018 | + | 0.561622i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.265205 | + | 0.0232024i | −0.0116300 | + | 0.00101749i | ||||
\(521\) | −2.00664 | + | 1.68377i | −0.0879126 | + | 0.0737674i | −0.685685 | − | 0.727899i | \(-0.740497\pi\) |
0.597772 | + | 0.801666i | \(0.296053\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.915997 | + | 1.96436i | 0.0400538 | + | 0.0858956i | 0.925316 | − | 0.379196i | \(-0.123799\pi\) |
−0.885263 | + | 0.465091i | \(0.846022\pi\) | |||||||
\(524\) | 10.3077 | − | 10.3077i | 0.450295 | − | 0.450295i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −7.76216 | + | 2.07986i | −0.338446 | + | 0.0906864i | ||||
\(527\) | −40.5784 | − | 7.15506i | −1.76762 | − | 0.311679i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −14.5487 | − | 8.39971i | −0.632553 | − | 0.365205i | ||||
\(530\) | 1.22761 | − | 1.46301i | 0.0533239 | − | 0.0635490i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 12.4827 | + | 3.34473i | 0.541193 | + | 0.145012i | ||||
\(533\) | −7.90330 | − | 3.68537i | −0.342330 | − | 0.159631i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.616759 | − | 0.431859i | 0.0266648 | − | 0.0186709i | ||||
\(536\) | 5.11069 | + | 0.447128i | 0.220748 | + | 0.0193130i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −14.2303 | − | 20.3229i | −0.613510 | − | 0.876183i | ||||
\(539\) | −8.92885 | + | 3.24984i | −0.384593 | + | 0.139980i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.36140 | + | 16.2769i | −0.187511 | + | 0.699801i | 0.806568 | + | 0.591141i | \(0.201322\pi\) |
−0.994079 | + | 0.108659i | \(0.965344\pi\) | |||||||
\(542\) | −17.6655 | + | 25.2289i | −0.758797 | + | 1.08367i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.03706 | − | 5.26035i | 0.130213 | − | 0.225536i | ||||
\(545\) | −0.0680807 | − | 0.117919i | −0.00291626 | − | 0.00505111i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 11.2565 | + | 42.0097i | 0.481292 | + | 1.79621i | 0.596206 | + | 0.802832i | \(0.296674\pi\) |
−0.114914 | + | 0.993375i | \(0.536659\pi\) | |||||||
\(548\) | −1.27261 | − | 0.463191i | −0.0543631 | − | 0.0197866i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −22.4253 | + | 10.4571i | −0.956217 | + | 0.445892i | ||||
\(551\) | 59.6634 | − | 10.5203i | 2.54175 | − | 0.448179i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.898903 | + | 10.2745i | 0.0382252 | + | 0.436917i | ||||
\(554\) | 3.10944 | 0.132108 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 16.4572 | 0.697941 | ||||||||
\(557\) | 0.364366 | + | 4.16472i | 0.0154387 | + | 0.176465i | 0.999999 | + | 0.00141923i | \(0.000451754\pi\) |
−0.984560 | + | 0.175046i | \(0.943993\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.69326 | − | 1.00388i | 0.240799 | − | 0.0424594i | ||||
\(560\) | −0.700837 | + | 0.326806i | −0.0296158 | + | 0.0138101i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −21.8029 | − | 7.93562i | −0.919702 | − | 0.334744i | ||||
\(563\) | −11.3722 | − | 42.4417i | −0.479282 | − | 1.78871i | −0.604532 | − | 0.796581i | \(-0.706640\pi\) |
0.125250 | − | 0.992125i | \(-0.460027\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.05360 | − | 3.55694i | −0.0863957 | − | 0.149642i | ||||
\(566\) | −9.73032 | + | 16.8534i | −0.408996 | + | 0.708401i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 5.94705 | − | 8.49326i | 0.249532 | − | 0.356369i | ||||
\(569\) | −0.398555 | + | 1.48743i | −0.0167083 | + | 0.0623562i | −0.973777 | − | 0.227506i | \(-0.926943\pi\) |
0.957068 | + | 0.289862i | \(0.0936095\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −18.9366 | + | 6.89235i | −0.792472 | + | 0.288436i | −0.706363 | − | 0.707850i | \(-0.749665\pi\) |
−0.0861085 | + | 0.996286i | \(0.527443\pi\) | |||||||
\(572\) | 2.26501 | + | 3.23477i | 0.0947048 | + | 0.135252i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −25.2338 | − | 2.20767i | −1.05324 | − | 0.0921463i | ||||
\(575\) | 9.96084 | − | 6.97465i | 0.415396 | − | 0.290863i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −34.7913 | − | 16.2235i | −1.44838 | − | 0.675392i | −0.470090 | − | 0.882619i | \(-0.655778\pi\) |
−0.978293 | + | 0.207227i | \(0.933556\pi\) | |||||||
\(578\) | −19.2171 | − | 5.14921i | −0.799327 | − | 0.214179i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −2.33024 | + | 2.77708i | −0.0967581 | + | 0.115312i | ||||
\(581\) | −9.64896 | − | 5.57083i | −0.400306 | − | 0.231117i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −27.8988 | − | 4.91931i | −1.15545 | − | 0.203737i | ||||
\(584\) | −13.8995 | + | 3.72436i | −0.575166 | + | 0.154115i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 5.46094 | − | 5.46094i | 0.225589 | − | 0.225589i | ||||
\(587\) | −2.70746 | − | 5.80617i | −0.111749 | − | 0.239646i | 0.842478 | − | 0.538731i | \(-0.181096\pi\) |
−0.954226 | + | 0.299085i | \(0.903318\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 29.6648 | − | 24.8917i | 1.22232 | − | 1.02565i | ||||
\(590\) | −0.734002 | + | 0.0642168i | −0.0302184 | + | 0.00264376i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.32769 | + | 5.09181i | −0.136767 | + | 0.209272i | ||||
\(593\) | − | 15.1947i | − | 0.623972i | −0.950087 | − | 0.311986i | \(-0.899006\pi\) | ||
0.950087 | − | 0.311986i | \(-0.100994\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.01921 | + | 3.59815i | 0.123775 | + | 0.147510i | ||||
\(596\) | 2.33226 | + | 13.2269i | 0.0955332 | + | 0.541796i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.37225 | − | 1.37225i | −0.0561154 | − | 0.0561154i | ||||
\(599\) | −13.5715 | + | 37.2874i | −0.554517 | + | 1.52352i | 0.272962 | + | 0.962025i | \(0.411997\pi\) |
−0.827479 | + | 0.561497i | \(0.810226\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.04006 | − | 34.2549i | 0.246379 | − | 1.39729i | −0.570889 | − | 0.821027i | \(-0.693401\pi\) |
0.817268 | − | 0.576258i | \(-0.195488\pi\) | |||||||
\(602\) | 14.5427 | − | 8.39623i | 0.592716 | − | 0.342205i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −5.10290 | − | 4.28184i | −0.207634 | − | 0.174226i | ||||
\(605\) | −4.10602 | − | 2.87507i | −0.166933 | − | 0.116888i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 5.06737 | − | 10.8670i | 0.205678 | − | 0.441079i | −0.776226 | − | 0.630454i | \(-0.782869\pi\) |
0.981905 | + | 0.189376i | \(0.0606464\pi\) | |||||||
\(608\) | 1.95245 | + | 5.36432i | 0.0791823 | + | 0.217552i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.0936513 | + | 1.07044i | −0.00379183 | + | 0.0433408i | ||||
\(611\) | −0.0880246 | + | 1.00613i | −0.00356109 | + | 0.0407035i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 15.4356 | + | 42.4089i | 0.623437 | + | 1.71288i | 0.698415 | + | 0.715693i | \(0.253889\pi\) |
−0.0749788 | + | 0.997185i | \(0.523889\pi\) | |||||||
\(614\) | −11.1487 | + | 23.9085i | −0.449925 | + | 0.964868i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 9.39610 | + | 6.57922i | 0.378580 | + | 0.265084i | ||||
\(617\) | 24.4406 | + | 20.5081i | 0.983943 | + | 0.825626i | 0.984680 | − | 0.174374i | \(-0.0557900\pi\) |
−0.000736589 | 1.00000i | \(0.500234\pi\) | ||||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 30.4254 | − | 17.5661i | 1.22290 | − | 0.706042i | 0.257365 | − | 0.966314i | \(-0.417146\pi\) |
0.965535 | + | 0.260272i | \(0.0838123\pi\) | |||||||
\(620\) | −0.402379 | + | 2.28200i | −0.0161599 | + | 0.0916474i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −9.38385 | + | 25.7819i | −0.376258 | + | 1.03376i | ||||
\(623\) | 15.7616 | + | 15.7616i | 0.631475 | + | 0.631475i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.03964 | − | 22.9099i | −0.161586 | − | 0.916397i | ||||
\(626\) | 2.66868 | + | 3.18041i | 0.106662 | + | 0.127115i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 16.2906i | − | 0.650067i | ||||||
\(629\) | 35.1059 | + | 11.5193i | 1.39976 | + | 0.459303i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.7024 | − | 1.11132i | 0.505675 | − | 0.0442409i | 0.168536 | − | 0.985696i | \(-0.446096\pi\) |
0.337140 | + | 0.941455i | \(0.390541\pi\) | |||||||
\(632\) | −3.49008 | + | 2.92852i | −0.138828 | + | 0.116490i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 9.48311 | + | 20.3366i | 0.376623 | + | 0.807670i | ||||
\(635\) | −4.18265 | + | 4.18265i | −0.165984 | + | 0.165984i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.41168 | + | 0.378259i | −0.0559329 | + | 0.0149872i | ||||
\(638\) | 52.9575 | + | 9.33783i | 2.09661 | + | 0.369688i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.295826 | − | 0.170795i | −0.0116935 | − | 0.00675127i | ||||
\(641\) | −13.9207 | + | 16.5901i | −0.549836 | + | 0.655269i | −0.967363 | − | 0.253395i | \(-0.918453\pi\) |
0.417527 | + | 0.908665i | \(0.362897\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −10.7792 | − | 2.88828i | −0.425090 | − | 0.113903i | 0.0399303 | − | 0.999202i | \(-0.487286\pi\) |
−0.465021 | + | 0.885300i | \(0.653953\pi\) | |||||||
\(644\) | −5.10891 | − | 2.38232i | −0.201319 | − | 0.0938766i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 28.4038 | − | 19.8886i | 1.11753 | − | 0.782506i | ||||
\(647\) | −21.5171 | − | 1.88250i | −0.845924 | − | 0.0740087i | −0.344052 | − | 0.938951i | \(-0.611800\pi\) |
−0.501872 | + | 0.864942i | \(0.667355\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6.26882 | + | 8.95280i | 0.246073 | + | 0.351428i | ||||
\(650\) | −3.57628 | + | 1.30166i | −0.140273 | + | 0.0510553i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −5.87924 | + | 21.9416i | −0.230249 | + | 0.859300i | ||||
\(653\) | −13.4979 | + | 19.2769i | −0.528212 | + | 0.754365i | −0.991253 | − | 0.131972i | \(-0.957869\pi\) |
0.463042 | + | 0.886336i | \(0.346758\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.48973 | + | 4.31235i | −0.0972820 | + | 0.168497i | ||||
\(656\) | −5.59464 | − | 9.69019i | −0.218434 | − | 0.378339i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.759292 | + | 2.83372i | 0.0296003 | + | 0.110470i | ||||
\(659\) | −8.73571 | − | 3.17954i | −0.340295 | − | 0.123857i | 0.166219 | − | 0.986089i | \(-0.446844\pi\) |
−0.506514 | + | 0.862232i | \(0.669066\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −20.9000 | + | 9.74581i | −0.812914 | + | 0.379068i | −0.784191 | − | 0.620519i | \(-0.786922\pi\) |
−0.0287229 | + | 0.999587i | \(0.509144\pi\) | |||||||
\(662\) | −7.90586 | + | 1.39402i | −0.307270 | + | 0.0541800i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.428954 | − | 4.90296i | −0.0166466 | − | 0.190272i | ||||
\(665\) | −4.41438 | −0.171182 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −26.4268 | −1.02325 | ||||||||
\(668\) | 0.0349366 | + | 0.399328i | 0.00135174 | + | 0.0154504i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.72581 | + | 0.304307i | −0.0666738 | + | 0.0117564i | ||||
\(671\) | 14.4456 | − | 6.73609i | 0.557666 | − | 0.260044i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −2.84854 | − | 1.03679i | −0.109803 | − | 0.0399651i | 0.286534 | − | 0.958070i | \(-0.407497\pi\) |
−0.396338 | + | 0.918105i | \(0.629719\pi\) | |||||||
\(674\) | 5.56885 | + | 20.7832i | 0.214504 | + | 0.800540i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −6.19631 | − | 10.7323i | −0.238320 | − | 0.412782i | ||||
\(677\) | −9.88875 | + | 17.1278i | −0.380056 | + | 0.658275i | −0.991070 | − | 0.133344i | \(-0.957428\pi\) |
0.611014 | + | 0.791620i | \(0.290762\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 14.7046 | − | 21.0003i | 0.564311 | − | 0.805919i | ||||
\(680\) | −0.537014 | + | 2.00416i | −0.0205936 | + | 0.0768562i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 32.2992 | − | 11.7560i | 1.23680 | − | 0.450159i | ||||
\(683\) | −15.9350 | − | 22.7576i | −0.609737 | − | 0.870795i | 0.388990 | − | 0.921242i | \(-0.372824\pi\) |
−0.998727 | + | 0.0504472i | \(0.983935\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.460849 | + | 0.0403191i | 0.0176081 | + | 0.00154051i | ||||
\(686\) | −16.4582 | + | 11.5241i | −0.628376 | + | 0.439994i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 6.72286 | + | 3.13492i | 0.256307 | + | 0.119518i | ||||
\(689\) | −4.20883 | − | 1.12775i | −0.160344 | − | 0.0429640i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.33918 | + | 3.97948i | −0.127029 | + | 0.151387i | −0.825810 | − | 0.563949i | \(-0.809282\pi\) |
0.698781 | + | 0.715335i | \(0.253726\pi\) | |||||||
\(692\) | −10.1612 | − | 5.86658i | −0.386272 | − | 0.223014i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 9.33257 | + | 1.64558i | 0.354260 | + | 0.0624655i | ||||
\(695\) | −5.43007 | + | 1.45498i | −0.205974 | + | 0.0551906i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −48.0586 | + | 48.0586i | −1.82035 | + | 1.82035i | ||||
\(698\) | 9.77007 | + | 20.9520i | 0.369803 | + | 0.793044i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −8.46846 | + | 7.10588i | −0.320078 | + | 0.268577i | ||||
\(701\) | 12.9140 | − | 1.12983i | 0.487755 | − | 0.0426731i | 0.159374 | − | 0.987218i | \(-0.449052\pi\) |
0.328381 | + | 0.944545i | \(0.393497\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −29.5008 | + | 18.3154i | −1.11264 | + | 0.690779i | ||||
\(704\) | 5.06696i | 0.190968i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.52166 | + | 1.81345i | 0.0572685 | + | 0.0682499i | ||||
\(707\) | −4.54280 | − | 25.7635i | −0.170850 | − | 0.968937i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −30.7993 | − | 30.7993i | −1.15669 | − | 1.15669i | −0.985183 | − | 0.171509i | \(-0.945136\pi\) |
−0.171509 | − | 0.985183i | \(-0.554864\pi\) | |||||||
\(710\) | −1.21134 | + | 3.32814i | −0.0454609 | + | 0.124903i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.70982 | + | 9.69686i | −0.0640781 | + | 0.363405i | ||||
\(713\) | −14.6287 | + | 8.44589i | −0.547850 | + | 0.316301i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.03333 | − | 0.867065i | −0.0386443 | − | 0.0324264i | ||||
\(716\) | −3.50167 | − | 2.45190i | −0.130864 | − | 0.0916317i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 8.51711 | − | 18.2650i | 0.317856 | − | 0.681644i | ||||
\(719\) | 4.04555 | + | 11.1150i | 0.150873 | + | 0.414521i | 0.991987 | − | 0.126337i | \(-0.0403219\pi\) |
−0.841114 | + | 0.540858i | \(0.818100\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.878498 | − | 10.0413i | 0.0327170 | − | 0.373957i | ||||
\(722\) | −1.18427 | + | 13.5362i | −0.0440739 | + | 0.503766i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 4.81305 | + | 13.2237i | 0.178876 | + | 0.491457i | ||||
\(725\) | −21.9024 | + | 46.9698i | −0.813434 | + | 1.74441i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −13.7148 | − | 9.60318i | −0.508652 | − | 0.356162i | 0.290905 | − | 0.956752i | \(-0.406044\pi\) |
−0.799557 | + | 0.600590i | \(0.794933\pi\) | |||||||
\(728\) | 1.35151 | + | 1.13406i | 0.0500905 | + | 0.0420309i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 4.25689 | − | 2.45771i | 0.157554 | − | 0.0909641i | ||||
\(731\) | 7.82407 | − | 44.3725i | 0.289384 | − | 1.64118i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.97847 | + | 16.4257i | −0.220820 | + | 0.606697i | −0.999793 | − | 0.0203603i | \(-0.993519\pi\) |
0.778973 | + | 0.627057i | \(0.215741\pi\) | |||||||
\(734\) | 15.8303 | + | 15.8303i | 0.584308 | + | 0.584308i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.432401 | − | 2.45227i | −0.0159385 | − | 0.0903918i | ||||
\(737\) | 16.7090 | + | 19.9130i | 0.615484 | + | 0.733505i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 8.65316i | − | 0.318312i | −0.987253 | − | 0.159156i | \(-0.949123\pi\) | ||
0.987253 | − | 0.159156i | \(-0.0508772\pi\) | |||||||
\(740\) | 0.647808 | − | 1.97425i | 0.0238139 | − | 0.0725748i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −12.6086 | + | 1.10311i | −0.462876 | + | 0.0404964i | ||||
\(743\) | 4.76947 | − | 4.00206i | 0.174975 | − | 0.146821i | −0.551094 | − | 0.834443i | \(-0.685790\pi\) |
0.726069 | + | 0.687622i | \(0.241345\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.93893 | − | 4.15804i | −0.0710367 | − | 0.152339i | ||||
\(746\) | −10.2729 | + | 10.2729i | −0.376119 | + | 0.376119i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 29.7287 | − | 7.96577i | 1.08699 | − | 0.291257i | ||||
\(749\) | −4.91397 | − | 0.866465i | −0.179553 | − | 0.0316600i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.09145 | + | 1.78485i | 0.112809 | + | 0.0651300i | 0.555343 | − | 0.831622i | \(-0.312587\pi\) |
−0.442534 | + | 0.896752i | \(0.645920\pi\) | |||||||
\(752\) | −0.832999 | + | 0.992729i | −0.0303763 | + | 0.0362011i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 7.98920 | + | 2.14070i | 0.290949 | + | 0.0779596i | ||||
\(755\) | 2.06226 | + | 0.961649i | 0.0750535 | + | 0.0349980i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −42.6822 | + | 29.8864i | −1.55131 | + | 1.08624i | −0.591235 | + | 0.806499i | \(0.701360\pi\) |
−0.960076 | + | 0.279740i | \(0.909752\pi\) | |||||||
\(758\) | −23.2422 | − | 2.03343i | −0.844194 | − | 0.0738574i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.11847 | − | 1.59734i | −0.0405713 | − | 0.0579418i | ||||
\(761\) | 24.4657 | − | 8.90480i | 0.886882 | − | 0.322799i | 0.141898 | − | 0.989881i | \(-0.454679\pi\) |
0.744984 | + | 0.667082i | \(0.232457\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.233550 | + | 0.871622i | −0.00845509 | + | 0.0315548i | ||||
\(764\) | 10.8819 | − | 15.5410i | 0.393694 | − | 0.562254i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 3.65229 | − | 6.32595i | 0.131962 | − | 0.228566i | ||||
\(767\) | 0.840520 | + | 1.45582i | 0.0303494 | + | 0.0525668i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.99406 | − | 11.1740i | −0.107969 | − | 0.402944i | 0.890696 | − | 0.454598i | \(-0.150217\pi\) |
−0.998665 | + | 0.0516544i | \(0.983551\pi\) | |||||||
\(770\) | −3.68192 | − | 1.34011i | −0.132687 | − | 0.0482942i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.0106725 | − | 0.00497666i | 0.000384111 | − | 0.000179114i | ||||
\(773\) | 31.2170 | − | 5.50440i | 1.12280 | − | 0.197979i | 0.418729 | − | 0.908111i | \(-0.362476\pi\) |
0.704069 | + | 0.710132i | \(0.251365\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.88715 | + | 33.0003i | 0.103710 | + | 1.18541i | ||||
\(776\) | 11.3247 | 0.406533 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 14.9177 | 0.534827 | ||||||||
\(779\) | −5.56707 | − | 63.6319i | −0.199461 | − | 2.27985i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 51.7379 | − | 9.12279i | 1.85133 | − | 0.326439i | ||||
\(782\) | −13.7081 | + | 6.39218i | −0.490199 | + | 0.228584i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −1.76217 | − | 0.641378i | −0.0629347 | − | 0.0229064i | ||||
\(785\) | 1.44026 | + | 5.37511i | 0.0514049 | + | 0.191846i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −23.1577 | − | 40.1103i | −0.825483 | − | 1.42978i | −0.901550 | − | 0.432675i | \(-0.857570\pi\) |
0.0760674 | − | 0.997103i | \(-0.475764\pi\) | |||||||
\(788\) | −5.86336 | + | 10.1556i | −0.208874 | + | 0.361780i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.892643 | − | 1.27483i | 0.0317588 | − | 0.0453563i | ||||
\(791\) | −7.04486 | + | 26.2918i | −0.250487 | + | 0.934829i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 2.30372 | − | 0.838484i | 0.0818074 | − | 0.0297755i | ||||
\(794\) | −2.74867 | − | 3.92551i | −0.0975466 | − | 0.139311i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −15.1202 | − | 1.32284i | −0.535921 | − | 0.0468870i | ||||
\(797\) | 18.7617 | − | 13.1371i | 0.664573 | − | 0.465339i | −0.191979 | − | 0.981399i | \(-0.561491\pi\) |
0.856553 | + | 0.516060i | \(0.172602\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7.13406 | + | 3.32667i | 0.252385 | + | 0.117689i | ||||
\(800\) | −4.71692 | − | 1.26390i | −0.166768 | − | 0.0446854i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 4.51497 | − | 5.38073i | 0.159429 | − | 0.190000i | ||||
\(803\) | −63.1443 | − | 36.4564i | −2.22831 | − | 1.28652i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.89631 | + | 0.334371i | 0.0668361 | + | 0.0117850i | ||||
\(806\) | 5.10663 | − | 1.36832i | 0.179873 | − | 0.0481969i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 8.17152 | − | 8.17152i | 0.287473 | − | 0.287473i | ||||
\(809\) | −3.55849 | − | 7.63122i | −0.125110 | − | 0.268299i | 0.833770 | − | 0.552113i | \(-0.186178\pi\) |
−0.958880 | + | 0.283813i | \(0.908400\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −8.81396 | + | 7.39579i | −0.309500 | + | 0.259701i | −0.784285 | − | 0.620400i | \(-0.786970\pi\) |
0.474785 | + | 0.880102i | \(0.342526\pi\) | |||||||
\(812\) | 23.9336 | − | 2.09392i | 0.839905 | − | 0.0734822i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −30.1661 | + | 6.32061i | −1.05732 | + | 0.221537i | ||||
\(815\) | − | 7.75944i | − | 0.271801i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 27.2191 | + | 32.4385i | 0.952277 | + | 1.13488i | ||||
\(818\) | −2.46840 | − | 13.9990i | −0.0863056 | − | 0.489464i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.70267 | + | 2.70267i | 0.0943812 | + | 0.0943812i | ||||
\(821\) | −5.19730 | + | 14.2795i | −0.181387 | + | 0.498356i | −0.996747 | − | 0.0805982i | \(-0.974317\pi\) |
0.815360 | + | 0.578955i | \(0.196539\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3.73530 | − | 21.1839i | 0.130204 | − | 0.738426i | −0.847875 | − | 0.530195i | \(-0.822119\pi\) |
0.978080 | − | 0.208230i | \(-0.0667703\pi\) | |||||||
\(824\) | 3.85602 | − | 2.22627i | 0.134331 | − | 0.0775560i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 3.74056 | + | 3.13870i | 0.130151 | + | 0.109209i | ||||
\(827\) | 21.0621 | + | 14.7479i | 0.732403 | + | 0.512834i | 0.879271 | − | 0.476322i | \(-0.158030\pi\) |
−0.146868 | + | 0.989156i | \(0.546919\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 9.96036 | − | 21.3601i | 0.345938 | − | 0.741866i | −0.653955 | − | 0.756534i | \(-0.726891\pi\) |
0.999892 | + | 0.0146680i | \(0.00466915\pi\) | |||||||
\(830\) | 0.575005 | + | 1.57981i | 0.0199587 | + | 0.0548361i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.0679246 | + | 0.776382i | −0.00235486 | + | 0.0269162i | ||||
\(833\) | −0.992756 | + | 11.3473i | −0.0343969 | + | 0.393159i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.0468320 | − | 0.128670i | −0.00162069 | − | 0.00445280i | ||||
\(836\) | −12.2243 | + | 26.2151i | −0.422786 | + | 0.906668i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 7.11176 | + | 4.97971i | 0.245672 | + | 0.172021i | ||||
\(839\) | 8.93263 | + | 7.49537i | 0.308389 | + | 0.258769i | 0.783826 | − | 0.620981i | \(-0.213266\pi\) |
−0.475437 | + | 0.879750i | \(0.657710\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 72.4262 | − | 41.8153i | 2.49746 | − | 1.44191i | ||||
\(842\) | −5.46336 | + | 30.9842i | −0.188280 | + | 1.06779i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −2.73977 | + | 7.52746i | −0.0943068 | + | 0.259106i | ||||
\(845\) | 2.99332 | + | 2.99332i | 0.102973 | + | 0.102973i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5.76842 | + | 32.7143i | 0.198205 | + | 1.12408i | ||||
\(848\) | −3.59380 | − | 4.28293i | −0.123412 | − | 0.147076i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 29.6619i | 1.01739i | ||||||||
\(851\) | 14.0601 | − | 5.63329i | 0.481976 | − | 0.193107i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1.49700 | + | 0.130971i | −0.0512563 | + | 0.00448435i | −0.112755 | − | 0.993623i | \(-0.535968\pi\) |
0.0614987 | + | 0.998107i | \(0.480412\pi\) | |||||||
\(854\) | 5.45509 | − | 4.57736i | 0.186669 | − | 0.156634i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.931523 | − | 1.99766i | −0.0318388 | − | 0.0682785i | ||||
\(857\) | −33.1828 | + | 33.1828i | −1.13350 | + | 1.13350i | −0.143911 | + | 0.989591i | \(0.545968\pi\) |
−0.989591 | + | 0.143911i | \(0.954032\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 32.8407 | − | 8.79963i | 1.12051 | − | 0.300240i | 0.349420 | − | 0.936966i | \(-0.386379\pi\) |
0.771090 | + | 0.636727i | \(0.219712\pi\) | |||||||
\(860\) | −2.49537 | − | 0.440002i | −0.0850915 | − | 0.0150039i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.895481 | − | 0.517006i | −0.0305002 | − | 0.0176093i | ||||
\(863\) | −23.4703 | + | 27.9708i | −0.798938 | + | 0.952137i | −0.999621 | − | 0.0275190i | \(-0.991239\pi\) |
0.200683 | + | 0.979656i | \(0.435684\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.87137 | + | 1.03733i | 0.131631 | + | 0.0352703i | ||||
\(866\) | 7.21436 | + | 3.36411i | 0.245154 | + | 0.114317i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 12.5794 | − | 8.80818i | 0.426972 | − | 0.298969i | ||||
\(869\) | −22.9971 | − | 2.01198i | −0.780123 | − | 0.0682519i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.29328 | + | 3.27515i | 0.0777050 | + | 0.110974i | ||||
\(872\) | −0.374571 | + | 0.136333i | −0.0126846 | + | 0.00461681i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 3.67910 | − | 13.7306i | 0.124447 | − | 0.464444i | ||||
\(875\) | 4.38364 | − | 6.26049i | 0.148194 | − | 0.211643i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −6.30842 | + | 10.9265i | −0.213020 | + | 0.368962i | −0.952658 | − | 0.304043i | \(-0.901663\pi\) |
0.739638 | + | 0.673005i | \(0.234997\pi\) | |||||||
\(878\) | 5.89892 | + | 10.2172i | 0.199079 | + | 0.344815i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.447970 | − | 1.67185i | −0.0151011 | − | 0.0563580i | ||||
\(881\) | 21.4926 | + | 7.82265i | 0.724103 | + | 0.263552i | 0.677666 | − | 0.735369i | \(-0.262991\pi\) |
0.0464363 | + | 0.998921i | \(0.485214\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −15.2505 | + | 7.11143i | −0.513221 | + | 0.239319i | −0.661935 | − | 0.749561i | \(-0.730264\pi\) |
0.148714 | + | 0.988880i | \(0.452487\pi\) | |||||||
\(884\) | 4.66194 | − | 0.822026i | 0.156798 | − | 0.0276477i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.613427 | + | 7.01151i | 0.0206085 | + | 0.235556i | ||||
\(887\) | 29.2457 | 0.981975 | 0.490988 | − | 0.871167i | \(-0.336636\pi\) | ||||
0.490988 | + | 0.871167i | \(0.336636\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 39.2010 | 1.31476 | ||||||||
\(890\) | −0.293144 | − | 3.35065i | −0.00982622 | − | 0.112314i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −20.6278 | + | 3.63725i | −0.690671 | + | 0.121784i | ||||
\(893\) | −6.70473 | + | 3.12647i | −0.224365 | + | 0.104623i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.37215 | + | 0.499422i | 0.0458660 | + | 0.0166939i | ||||
\(896\) | 0.585911 | + | 2.18665i | 0.0195739 | + | 0.0730509i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −20.4079 | − | 35.3475i | −0.681020 | − | 1.17956i | ||||
\(899\) | 35.9962 | − | 62.3473i | 1.20054 | − | 2.07940i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −19.4788 | + | 27.8186i | −0.648933 | + | 0.926772i | ||||
\(902\) | 14.6739 | − | 54.7637i | 0.488587 | − | 1.82343i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −11.2986 | + | 4.11237i | −0.375787 | + | 0.136775i | ||||
\(905\) | −2.75718 | − | 3.93766i | −0.0916518 | − | 0.130892i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −33.2303 | − | 2.90727i | −1.10339 | − | 0.0965344i | −0.479127 | − | 0.877746i | \(-0.659047\pi\) |
−0.624267 | + | 0.781211i | \(0.714602\pi\) | |||||||
\(908\) | −3.71641 | + | 2.60226i | −0.123333 | + | 0.0863589i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.546196 | − | 0.254695i | −0.0181062 | − | 0.00844306i | ||||
\(911\) | −42.2984 | − | 11.3338i | −1.40141 | − | 0.375506i | −0.522558 | − | 0.852604i | \(-0.675022\pi\) |
−0.878850 | + | 0.477097i | \(0.841689\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 16.0298 | − | 19.1036i | 0.530510 | − | 0.632238i | ||||
\(914\) | −17.4563 | − | 10.0784i | −0.577403 | − | 0.333364i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −7.86383 | − | 1.38660i | −0.259828 | − | 0.0458147i | ||||
\(917\) | 31.8755 | − | 8.54101i | 1.05262 | − | 0.282049i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 13.0279 | − | 13.0279i | 0.429750 | − | 0.429750i | −0.458793 | − | 0.888543i | \(-0.651718\pi\) |
0.888543 | + | 0.458793i | \(0.151718\pi\) | |||||||
\(920\) | 0.359476 | + | 0.770899i | 0.0118516 | + | 0.0254158i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 14.0775 | − | 11.8124i | 0.463617 | − | 0.389021i | ||||
\(923\) | 8.04980 | − | 0.704267i | 0.264963 | − | 0.0231812i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.64061 | − | 29.6587i | 0.0539428 | − | 0.975172i | ||||
\(926\) | − | 8.64036i | − | 0.283940i | ||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 6.82175 | + | 8.12984i | 0.223935 | + | 0.266875i | ||||
\(929\) | −9.82741 | − | 55.7340i | −0.322427 | − | 1.82857i | −0.527172 | − | 0.849758i | \(-0.676748\pi\) |
0.204746 | − | 0.978815i | \(-0.434363\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −7.56965 | − | 7.56965i | −0.248085 | − | 0.248085i | ||||
\(932\) | 6.17670 | − | 16.9704i | 0.202325 | − | 0.555882i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −4.78518 | + | 27.1381i | −0.156576 | + | 0.887985i | ||||
\(935\) | −9.10474 | + | 5.25663i | −0.297757 | + | 0.171910i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 28.8706 | + | 24.2253i | 0.943160 | + | 0.791406i | 0.978132 | − | 0.207983i | \(-0.0666898\pi\) |
−0.0349721 | + | 0.999388i | \(0.511134\pi\) | |||||||
\(938\) | 9.51340 | + | 6.66135i | 0.310624 | + | 0.217501i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.187081 | − | 0.401198i | 0.00610193 | − | 0.0130856i | ||||
\(941\) | 4.07683 | + | 11.2010i | 0.132901 | + | 0.365142i | 0.988237 | − | 0.152932i | \(-0.0488715\pi\) |
−0.855336 | + | 0.518074i | \(0.826649\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.42837 | + | 27.7564i | −0.0790785 | + | 0.903871i | ||||
\(944\) | −0.187994 | + | 2.14878i | −0.00611867 | + | 0.0699367i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 12.8552 | + | 35.3193i | 0.417957 | + | 1.14833i | ||||
\(947\) | 8.01939 | − | 17.1976i | 0.260595 | − | 0.558848i | −0.731860 | − | 0.681455i | \(-0.761348\pi\) |
0.992455 | + | 0.122607i | \(0.0391254\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −9.18653 | − | 6.43248i | −0.298207 | − | 0.208807i | ||||
\(950\) | −21.3549 | − | 17.9189i | −0.692844 | − | 0.581365i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 11.9083 | − | 6.87527i | 0.385951 | − | 0.222829i | ||||
\(953\) | 5.52559 | − | 31.3372i | 0.178992 | − | 1.01511i | −0.754443 | − | 0.656365i | \(-0.772093\pi\) |
0.933435 | − | 0.358747i | \(-0.116796\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.21652 | + | 6.08984i | −0.0717249 | + | 0.197063i | ||||
\(956\) | −6.81556 | − | 6.81556i | −0.220431 | − | 0.220431i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 3.58924 | + | 20.3556i | 0.115963 | + | 0.657660i | ||||
\(959\) | −1.97066 | − | 2.34854i | −0.0636360 | − | 0.0758384i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 15.0170i | − | 0.484419i | ||||||
\(962\) | −4.70691 | + | 0.564084i | −0.151757 | + | 0.0181868i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 6.30139 | − | 0.551300i | 0.202954 | − | 0.0177562i | ||||
\(965\) | −0.00308141 | + | 0.00258561i | −9.91940e−5 | + | 8.32337e-5i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1.04225 | + | 2.23511i | 0.0335165 | + | 0.0718764i | 0.922353 | − | 0.386348i | \(-0.126264\pi\) |
−0.888837 | + | 0.458224i | \(0.848486\pi\) | |||||||
\(968\) | −10.3761 | + | 10.3761i | −0.333502 | + | 0.333502i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −3.73659 | + | 1.00122i | −0.119975 | + | 0.0321471i | ||||
\(971\) | −15.1997 | − | 2.68012i | −0.487783 | − | 0.0860092i | −0.0756525 | − | 0.997134i | \(-0.524104\pi\) |
−0.412130 | + | 0.911125i | \(0.635215\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 32.2643 | + | 18.6278i | 1.03435 | + | 0.597180i | ||||
\(974\) | 21.5455 | − | 25.6769i | 0.690361 | − | 0.822741i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 3.03848 | + | 0.814157i | 0.0972593 | + | 0.0260605i | ||||
\(977\) | −23.8785 | − | 11.1347i | −0.763940 | − | 0.356231i | 0.00128034 | − | 0.999999i | \(-0.499592\pi\) |
−0.765221 | + | 0.643768i | \(0.777370\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −40.8688 | + | 28.6166i | −1.30617 | + | 0.914591i | ||||
\(980\) | 0.638135 | + | 0.0558295i | 0.0203845 | + | 0.00178341i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −13.4977 | − | 19.2767i | −0.430728 | − | 0.615143i | ||||
\(983\) | 45.8053 | − | 16.6718i | 1.46096 | − | 0.531747i | 0.515333 | − | 0.856990i | \(-0.327668\pi\) |
0.945630 | + | 0.325243i | \(0.105446\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.03676 | − | 3.86925i | 0.0330340 | − | 0.123284i | ||||
\(986\) | 36.9746 | − | 52.8052i | 1.17751 | − | 1.68166i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.22449 | + | 3.85292i | −0.0707703 | + | 0.122578i | ||||
\(989\) | −9.23559 | − | 15.9965i | −0.293675 | − | 0.508660i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −13.5185 | − | 50.4517i | −0.429429 | − | 1.60265i | −0.754057 | − | 0.656809i | \(-0.771906\pi\) |
0.324629 | − | 0.945842i | \(-0.394761\pi\) | |||||||
\(992\) | 6.37448 | + | 2.32012i | 0.202390 | + | 0.0736639i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 21.2726 | − | 9.91960i | 0.674727 | − | 0.314630i | ||||
\(995\) | 5.10587 | − | 0.900303i | 0.161867 | − | 0.0285415i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 0.169293 | + | 1.93503i | 0.00536157 | + | 0.0612831i | 0.998404 | − | 0.0564730i | \(-0.0179855\pi\) |
−0.993043 | + | 0.117756i | \(0.962430\pi\) | |||||||
\(998\) | 32.1939 | 1.01908 | ||||||||
\(999\) | 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 | 666.2.bs.a.611.5 | yes | 72 | |
3.2 | odd | 2 | inner | 666.2.bs.a.611.2 | yes | 72 | |
37.2 | odd | 36 | inner | 666.2.bs.a.557.2 | ✓ | 72 | |
111.2 | even | 36 | inner | 666.2.bs.a.557.5 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
666.2.bs.a.557.2 | ✓ | 72 | 37.2 | odd | 36 | inner | |
666.2.bs.a.557.5 | yes | 72 | 111.2 | even | 36 | inner | |
666.2.bs.a.611.2 | yes | 72 | 3.2 | odd | 2 | inner | |
666.2.bs.a.611.5 | yes | 72 | 1.1 | even | 1 | trivial |