Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(164,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.164");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bq (of order \(6\), degree \(2\), 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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 164.16 | ||
Character | \(\chi\) | \(=\) | 315.164 |
Dual form | 315.2.bq.a.194.16 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.932214 | −0.659175 | −0.329587 | − | 0.944125i | \(-0.606910\pi\) | ||||
−0.329587 | + | 0.944125i | \(0.606910\pi\) | |||||||
\(3\) | −0.704225 | + | 1.58242i | −0.406585 | + | 0.913613i | ||||
\(4\) | −1.13098 | −0.565488 | ||||||||
\(5\) | 1.20128 | + | 1.88598i | 0.537230 | + | 0.843436i | ||||
\(6\) | 0.656489 | − | 1.47516i | 0.268010 | − | 0.602231i | ||||
\(7\) | 0.405582 | + | 2.61448i | 0.153296 | + | 0.988180i | ||||
\(8\) | 2.91874 | 1.03193 | ||||||||
\(9\) | −2.00813 | − | 2.22877i | −0.669378 | − | 0.742922i | ||||
\(10\) | −1.11985 | − | 1.75814i | −0.354129 | − | 0.555972i | ||||
\(11\) | −1.05849 | + | 0.611118i | −0.319146 | + | 0.184259i | −0.651012 | − | 0.759068i | \(-0.725655\pi\) |
0.331866 | + | 0.943327i | \(0.392322\pi\) | |||||||
\(12\) | 0.796463 | − | 1.78969i | 0.229919 | − | 0.516638i | ||||
\(13\) | 1.31924 | + | 2.28500i | 0.365892 | + | 0.633744i | 0.988919 | − | 0.148456i | \(-0.0474305\pi\) |
−0.623026 | + | 0.782201i | \(0.714097\pi\) | |||||||
\(14\) | −0.378090 | − | 2.43725i | −0.101049 | − | 0.651384i | ||||
\(15\) | −3.83039 | + | 0.572786i | −0.989003 | + | 0.147893i | ||||
\(16\) | −0.458937 | −0.114734 | ||||||||
\(17\) | −6.76575 | − | 3.90621i | −1.64093 | − | 0.947394i | −0.980502 | − | 0.196509i | \(-0.937040\pi\) |
−0.660433 | − | 0.750885i | \(-0.729627\pi\) | |||||||
\(18\) | 1.87201 | + | 2.07769i | 0.441237 | + | 0.489716i | ||||
\(19\) | 2.02157 | − | 1.16715i | 0.463779 | − | 0.267763i | −0.249853 | − | 0.968284i | \(-0.580382\pi\) |
0.713632 | + | 0.700521i | \(0.247049\pi\) | |||||||
\(20\) | −1.35862 | − | 2.13300i | −0.303798 | − | 0.476953i | ||||
\(21\) | −4.42284 | − | 1.19938i | −0.965142 | − | 0.261726i | ||||
\(22\) | 0.986737 | − | 0.569693i | 0.210373 | − | 0.121459i | ||||
\(23\) | −3.49143 | + | 6.04733i | −0.728013 | + | 1.26095i | 0.229709 | + | 0.973259i | \(0.426222\pi\) |
−0.957722 | + | 0.287696i | \(0.907111\pi\) | |||||||
\(24\) | −2.05545 | + | 4.61869i | −0.419567 | + | 0.942785i | ||||
\(25\) | −2.11384 | + | 4.53119i | −0.422767 | + | 0.906238i | ||||
\(26\) | −1.22982 | − | 2.13011i | −0.241187 | − | 0.417748i | ||||
\(27\) | 4.94103 | − | 1.60816i | 0.950902 | − | 0.309491i | ||||
\(28\) | −0.458704 | − | 2.95692i | −0.0866870 | − | 0.558805i | ||||
\(29\) | −5.69293 | − | 3.28681i | −1.05715 | − | 0.610346i | −0.132508 | − | 0.991182i | \(-0.542303\pi\) |
−0.924643 | + | 0.380836i | \(0.875636\pi\) | |||||||
\(30\) | 3.57075 | − | 0.533959i | 0.651926 | − | 0.0974871i | ||||
\(31\) | − | 4.13435i | − | 0.742552i | −0.928523 | − | 0.371276i | \(-0.878920\pi\) | ||
0.928523 | − | 0.371276i | \(-0.121080\pi\) | |||||||
\(32\) | −5.40965 | −0.956301 | ||||||||
\(33\) | −0.221634 | − | 2.10534i | −0.0385815 | − | 0.366493i | ||||
\(34\) | 6.30712 | + | 3.64142i | 1.08166 | + | 0.624498i | ||||
\(35\) | −4.44363 | + | 3.90565i | −0.751111 | + | 0.660176i | ||||
\(36\) | 2.27115 | + | 2.52068i | 0.378525 | + | 0.420114i | ||||
\(37\) | 0.395403 | − | 0.228286i | 0.0650038 | − | 0.0375300i | −0.467146 | − | 0.884180i | \(-0.654718\pi\) |
0.532150 | + | 0.846650i | \(0.321384\pi\) | |||||||
\(38\) | −1.88453 | + | 1.08804i | −0.305712 | + | 0.176503i | ||||
\(39\) | −4.54488 | + | 0.478450i | −0.727763 | + | 0.0766134i | ||||
\(40\) | 3.50624 | + | 5.50468i | 0.554384 | + | 0.870367i | ||||
\(41\) | 2.67616 | + | 4.63525i | 0.417947 | + | 0.723905i | 0.995733 | − | 0.0922834i | \(-0.0294166\pi\) |
−0.577786 | + | 0.816188i | \(0.696083\pi\) | |||||||
\(42\) | 4.12303 | + | 1.11808i | 0.636197 | + | 0.172523i | ||||
\(43\) | 6.97446 | + | 4.02671i | 1.06360 | + | 0.614067i | 0.926425 | − | 0.376480i | \(-0.122866\pi\) |
0.137171 | + | 0.990547i | \(0.456199\pi\) | |||||||
\(44\) | 1.19712 | − | 0.691160i | 0.180473 | − | 0.104196i | ||||
\(45\) | 1.79107 | − | 6.46468i | 0.266997 | − | 0.963697i | ||||
\(46\) | 3.25476 | − | 5.63740i | 0.479888 | − | 0.831190i | ||||
\(47\) | − | 4.57350i | − | 0.667113i | −0.942730 | − | 0.333557i | \(-0.891751\pi\) | ||
0.942730 | − | 0.333557i | \(-0.108249\pi\) | |||||||
\(48\) | 0.323195 | − | 0.726233i | 0.0466492 | − | 0.104823i | ||||
\(49\) | −6.67101 | + | 2.12077i | −0.953001 | + | 0.302968i | ||||
\(50\) | 1.97055 | − | 4.22404i | 0.278677 | − | 0.597370i | ||||
\(51\) | 10.9459 | − | 7.95543i | 1.53273 | − | 1.11398i | ||||
\(52\) | −1.49203 | − | 2.58428i | −0.206908 | − | 0.358375i | ||||
\(53\) | 1.18144 | − | 2.04632i | 0.162284 | − | 0.281084i | −0.773404 | − | 0.633914i | \(-0.781447\pi\) |
0.935687 | + | 0.352830i | \(0.114781\pi\) | |||||||
\(54\) | −4.60610 | + | 1.49915i | −0.626811 | + | 0.204009i | ||||
\(55\) | −2.42410 | − | 1.26216i | −0.326865 | − | 0.170189i | ||||
\(56\) | 1.18379 | + | 7.63099i | 0.158191 | + | 1.01973i | ||||
\(57\) | 0.423291 | + | 4.02091i | 0.0560662 | + | 0.532583i | ||||
\(58\) | 5.30703 | + | 3.06401i | 0.696847 | + | 0.402325i | ||||
\(59\) | 6.82027 | 0.887924 | 0.443962 | − | 0.896046i | \(-0.353572\pi\) | ||||
0.443962 | + | 0.896046i | \(0.353572\pi\) | |||||||
\(60\) | 4.33209 | − | 0.647807i | 0.559270 | − | 0.0836316i | ||||
\(61\) | 0.292841i | 0.0374944i | 0.999824 | + | 0.0187472i | \(0.00596777\pi\) | ||||
−0.999824 | + | 0.0187472i | \(0.994032\pi\) | |||||||
\(62\) | 3.85410i | 0.489472i | ||||||||
\(63\) | 5.01260 | − | 6.15417i | 0.631528 | − | 0.775353i | ||||
\(64\) | 5.96083 | 0.745104 | ||||||||
\(65\) | −2.72467 | + | 5.23300i | −0.337954 | + | 0.649073i | ||||
\(66\) | 0.206610 | + | 1.96263i | 0.0254320 | + | 0.241583i | ||||
\(67\) | 14.7634i | 1.80364i | 0.432115 | + | 0.901819i | \(0.357768\pi\) | ||||
−0.432115 | + | 0.901819i | \(0.642232\pi\) | |||||||
\(68\) | 7.65190 | + | 4.41783i | 0.927930 | + | 0.535740i | ||||
\(69\) | −7.11069 | − | 9.78360i | −0.856026 | − | 1.17781i | ||||
\(70\) | 4.14242 | − | 3.64090i | 0.495114 | − | 0.435171i | ||||
\(71\) | 2.44979i | 0.290736i | 0.989378 | + | 0.145368i | \(0.0464366\pi\) | ||||
−0.989378 | + | 0.145368i | \(0.953563\pi\) | |||||||
\(72\) | −5.86122 | − | 6.50519i | −0.690751 | − | 0.766644i | ||||
\(73\) | −3.51808 | + | 6.09350i | −0.411761 | + | 0.713190i | −0.995082 | − | 0.0990508i | \(-0.968419\pi\) |
0.583322 | + | 0.812241i | \(0.301753\pi\) | |||||||
\(74\) | −0.368600 | + | 0.212811i | −0.0428489 | + | 0.0247388i | ||||
\(75\) | −5.68165 | − | 6.53597i | −0.656061 | − | 0.754708i | ||||
\(76\) | −2.28634 | + | 1.32002i | −0.262262 | + | 0.151417i | ||||
\(77\) | −2.02706 | − | 2.51953i | −0.231005 | − | 0.287128i | ||||
\(78\) | 4.23680 | − | 0.446018i | 0.479723 | − | 0.0505016i | ||||
\(79\) | 11.5089 | 1.29485 | 0.647425 | − | 0.762129i | \(-0.275846\pi\) | ||||
0.647425 | + | 0.762129i | \(0.275846\pi\) | |||||||
\(80\) | −0.551314 | − | 0.865546i | −0.0616387 | − | 0.0967710i | ||||
\(81\) | −0.934804 | + | 8.95132i | −0.103867 | + | 0.994591i | ||||
\(82\) | −2.49476 | − | 4.32105i | −0.275500 | − | 0.477180i | ||||
\(83\) | −1.79536 | − | 1.03655i | −0.197066 | − | 0.113776i | 0.398220 | − | 0.917290i | \(-0.369628\pi\) |
−0.595286 | + | 0.803514i | \(0.702961\pi\) | |||||||
\(84\) | 5.00213 | + | 1.35647i | 0.545777 | + | 0.148003i | ||||
\(85\) | −0.760557 | − | 17.4525i | −0.0824940 | − | 1.89299i | ||||
\(86\) | −6.50169 | − | 3.75375i | −0.701095 | − | 0.404778i | ||||
\(87\) | 9.21024 | − | 6.69397i | 0.987441 | − | 0.717669i | ||||
\(88\) | −3.08945 | + | 1.78369i | −0.329336 | + | 0.190142i | ||||
\(89\) | 0.840189 | + | 1.45525i | 0.0890599 | + | 0.154256i | 0.907114 | − | 0.420885i | \(-0.138280\pi\) |
−0.818054 | + | 0.575141i | \(0.804947\pi\) | |||||||
\(90\) | −1.66966 | + | 6.02646i | −0.175998 | + | 0.635245i | ||||
\(91\) | −5.43902 | + | 4.37589i | −0.570164 | + | 0.458718i | ||||
\(92\) | 3.94872 | − | 6.83939i | 0.411683 | − | 0.713056i | ||||
\(93\) | 6.54230 | + | 2.91152i | 0.678405 | + | 0.301910i | ||||
\(94\) | 4.26348i | 0.439744i | ||||||||
\(95\) | 4.62970 | + | 2.41055i | 0.474997 | + | 0.247317i | ||||
\(96\) | 3.80962 | − | 8.56037i | 0.388817 | − | 0.873689i | ||||
\(97\) | 2.93872 | − | 5.09001i | 0.298382 | − | 0.516812i | −0.677384 | − | 0.735629i | \(-0.736886\pi\) |
0.975766 | + | 0.218817i | \(0.0702198\pi\) | |||||||
\(98\) | 6.21881 | − | 1.97701i | 0.628194 | − | 0.199709i | ||||
\(99\) | 3.48762 | + | 1.13192i | 0.350519 | + | 0.113762i | ||||
\(100\) | 2.39070 | − | 5.12467i | 0.239070 | − | 0.512467i | ||||
\(101\) | 4.45217 | + | 7.71139i | 0.443008 | + | 0.767312i | 0.997911 | − | 0.0646032i | \(-0.0205782\pi\) |
−0.554904 | + | 0.831915i | \(0.687245\pi\) | |||||||
\(102\) | −10.2039 | + | 7.41617i | −1.01034 | + | 0.734310i | ||||
\(103\) | 1.28943 | − | 2.23336i | 0.127051 | − | 0.220060i | −0.795482 | − | 0.605978i | \(-0.792782\pi\) |
0.922533 | + | 0.385918i | \(0.126115\pi\) | |||||||
\(104\) | 3.85053 | + | 6.66932i | 0.377576 | + | 0.653980i | ||||
\(105\) | −3.05108 | − | 9.78217i | −0.297755 | − | 0.954642i | ||||
\(106\) | −1.10136 | + | 1.90761i | −0.106973 | + | 0.185283i | ||||
\(107\) | −3.63085 | − | 6.28881i | −0.351007 | − | 0.607962i | 0.635419 | − | 0.772167i | \(-0.280827\pi\) |
−0.986426 | + | 0.164205i | \(0.947494\pi\) | |||||||
\(108\) | −5.58819 | + | 1.81880i | −0.537724 | + | 0.175014i | ||||
\(109\) | 1.44439 | − | 2.50177i | 0.138348 | − | 0.239626i | −0.788523 | − | 0.615005i | \(-0.789154\pi\) |
0.926871 | + | 0.375379i | \(0.122487\pi\) | |||||||
\(110\) | 2.25978 | + | 1.17660i | 0.215461 | + | 0.112185i | ||||
\(111\) | 0.0827924 | + | 0.786459i | 0.00785831 | + | 0.0746474i | ||||
\(112\) | −0.186137 | − | 1.19988i | −0.0175883 | − | 0.113378i | ||||
\(113\) | −0.369769 | − | 0.640458i | −0.0347849 | − | 0.0602492i | 0.848109 | − | 0.529822i | \(-0.177741\pi\) |
−0.882894 | + | 0.469573i | \(0.844408\pi\) | |||||||
\(114\) | −0.394598 | − | 3.74835i | −0.0369575 | − | 0.351065i | ||||
\(115\) | −15.5993 | + | 0.679798i | −1.45464 | + | 0.0633914i | ||||
\(116\) | 6.43857 | + | 3.71731i | 0.597806 | + | 0.345144i | ||||
\(117\) | 2.44351 | − | 7.52887i | 0.225903 | − | 0.696044i | ||||
\(118\) | −6.35796 | −0.585297 | ||||||||
\(119\) | 7.46863 | − | 19.2732i | 0.684648 | − | 1.76677i | ||||
\(120\) | −11.1799 | + | 1.67181i | −1.02058 | + | 0.152615i | ||||
\(121\) | −4.75307 | + | 8.23256i | −0.432097 | + | 0.748414i | ||||
\(122\) | − | 0.272990i | − | 0.0247154i | ||||||
\(123\) | −9.21956 | + | 0.970564i | −0.831300 | + | 0.0875128i | ||||
\(124\) | 4.67586i | 0.419905i | ||||||||
\(125\) | −11.0850 | + | 1.45660i | −0.991477 | + | 0.130282i | ||||
\(126\) | −4.67282 | + | 5.73700i | −0.416288 | + | 0.511093i | ||||
\(127\) | 20.9575i | 1.85968i | 0.367964 | + | 0.929840i | \(0.380055\pi\) | ||||
−0.367964 | + | 0.929840i | \(0.619945\pi\) | |||||||
\(128\) | 5.26254 | 0.465147 | ||||||||
\(129\) | −11.2836 | + | 8.20085i | −0.993461 | + | 0.722044i | ||||
\(130\) | 2.53998 | − | 4.87827i | 0.222771 | − | 0.427853i | ||||
\(131\) | −5.31976 | + | 9.21409i | −0.464789 | + | 0.805039i | −0.999192 | − | 0.0401912i | \(-0.987203\pi\) |
0.534403 | + | 0.845230i | \(0.320537\pi\) | |||||||
\(132\) | 0.250663 | + | 2.38109i | 0.0218174 | + | 0.207247i | ||||
\(133\) | 3.87141 | + | 4.81197i | 0.335693 | + | 0.417250i | ||||
\(134\) | − | 13.7627i | − | 1.18891i | ||||||
\(135\) | 8.96855 | + | 7.38683i | 0.771890 | + | 0.635757i | ||||
\(136\) | −19.7475 | − | 11.4012i | −1.69333 | − | 0.977645i | ||||
\(137\) | 10.0837 | + | 17.4655i | 0.861512 | + | 1.49218i | 0.870470 | + | 0.492222i | \(0.163815\pi\) |
−0.00895816 | + | 0.999960i | \(0.502852\pi\) | |||||||
\(138\) | 6.62868 | + | 9.12041i | 0.564271 | + | 0.776381i | ||||
\(139\) | −2.84855 | + | 1.64461i | −0.241610 | + | 0.139494i | −0.615917 | − | 0.787811i | \(-0.711214\pi\) |
0.374306 | + | 0.927305i | \(0.377881\pi\) | |||||||
\(140\) | 5.02565 | − | 4.41720i | 0.424745 | − | 0.373322i | ||||
\(141\) | 7.23722 | + | 3.22077i | 0.609483 | + | 0.271238i | ||||
\(142\) | − | 2.28373i | − | 0.191646i | ||||||
\(143\) | −2.79281 | − | 1.61243i | −0.233546 | − | 0.134838i | ||||
\(144\) | 0.921607 | + | 1.02286i | 0.0768006 | + | 0.0852387i | ||||
\(145\) | −0.639958 | − | 14.6851i | −0.0531457 | − | 1.21953i | ||||
\(146\) | 3.27961 | − | 5.68045i | 0.271422 | − | 0.470117i | ||||
\(147\) | 1.34193 | − | 12.0499i | 0.110680 | − | 0.993856i | ||||
\(148\) | −0.447191 | + | 0.258186i | −0.0367589 | + | 0.0212228i | ||||
\(149\) | −12.9744 | − | 7.49077i | −1.06290 | − | 0.613667i | −0.136669 | − | 0.990617i | \(-0.543640\pi\) |
−0.926234 | + | 0.376949i | \(0.876973\pi\) | |||||||
\(150\) | 5.29651 | + | 6.09292i | 0.432459 | + | 0.497485i | ||||
\(151\) | 2.00545 | + | 3.47355i | 0.163201 | + | 0.282673i | 0.936015 | − | 0.351960i | \(-0.114485\pi\) |
−0.772814 | + | 0.634633i | \(0.781151\pi\) | |||||||
\(152\) | 5.90043 | − | 3.40661i | 0.478588 | − | 0.276313i | ||||
\(153\) | 4.88050 | + | 22.9235i | 0.394565 | + | 1.85325i | ||||
\(154\) | 1.88965 | + | 2.34875i | 0.152273 | + | 0.189267i | ||||
\(155\) | 7.79731 | − | 4.96653i | 0.626295 | − | 0.398921i | ||||
\(156\) | 5.14016 | − | 0.541116i | 0.411542 | − | 0.0433240i | ||||
\(157\) | −17.6413 | −1.40793 | −0.703965 | − | 0.710235i | \(-0.748589\pi\) | ||||
−0.703965 | + | 0.710235i | \(0.748589\pi\) | |||||||
\(158\) | −10.7287 | −0.853532 | ||||||||
\(159\) | 2.40615 | + | 3.31062i | 0.190820 | + | 0.262549i | ||||
\(160\) | −6.49853 | − | 10.2025i | −0.513754 | − | 0.806578i | ||||
\(161\) | −17.2267 | − | 6.67557i | −1.35765 | − | 0.526109i | ||||
\(162\) | 0.871437 | − | 8.34455i | 0.0684666 | − | 0.655610i | ||||
\(163\) | 3.84106 | − | 2.21764i | 0.300855 | − | 0.173699i | −0.341972 | − | 0.939710i | \(-0.611095\pi\) |
0.642827 | + | 0.766011i | \(0.277761\pi\) | |||||||
\(164\) | −3.02668 | − | 5.24236i | −0.236344 | − | 0.409360i | ||||
\(165\) | 3.70438 | − | 2.94711i | 0.288386 | − | 0.229432i | ||||
\(166\) | 1.67366 | + | 0.966288i | 0.129901 | + | 0.0749985i | ||||
\(167\) | −9.39299 | + | 5.42305i | −0.726852 | + | 0.419648i | −0.817269 | − | 0.576256i | \(-0.804513\pi\) |
0.0904177 | + | 0.995904i | \(0.471180\pi\) | |||||||
\(168\) | −12.9091 | − | 3.50068i | −0.995960 | − | 0.270083i | ||||
\(169\) | 3.01919 | − | 5.22939i | 0.232245 | − | 0.402261i | ||||
\(170\) | 0.709002 | + | 16.2695i | 0.0543780 | + | 1.24781i | ||||
\(171\) | −6.66088 | − | 2.16180i | −0.509370 | − | 0.165317i | ||||
\(172\) | −7.88795 | − | 4.55411i | −0.601451 | − | 0.347248i | ||||
\(173\) | 14.5719i | 1.10788i | 0.832556 | + | 0.553941i | \(0.186877\pi\) | ||||
−0.832556 | + | 0.553941i | \(0.813123\pi\) | |||||||
\(174\) | −8.58591 | + | 6.24021i | −0.650896 | + | 0.473069i | ||||
\(175\) | −12.7040 | − | 3.68881i | −0.960335 | − | 0.278848i | ||||
\(176\) | 0.485779 | − | 0.280465i | 0.0366170 | − | 0.0211408i | ||||
\(177\) | −4.80301 | + | 10.7926i | −0.361016 | + | 0.811219i | ||||
\(178\) | −0.783236 | − | 1.35661i | −0.0587061 | − | 0.101682i | ||||
\(179\) | 19.7353 | + | 11.3942i | 1.47509 | + | 0.851643i | 0.999606 | − | 0.0280824i | \(-0.00894008\pi\) |
0.475483 | + | 0.879725i | \(0.342273\pi\) | |||||||
\(180\) | −2.02566 | + | 7.31140i | −0.150984 | + | 0.544960i | ||||
\(181\) | − | 15.1269i | − | 1.12437i | −0.827010 | − | 0.562187i | \(-0.809960\pi\) | ||
0.827010 | − | 0.562187i | \(-0.190040\pi\) | |||||||
\(182\) | 5.07033 | − | 4.07927i | 0.375838 | − | 0.302375i | ||||
\(183\) | −0.463398 | − | 0.206226i | −0.0342554 | − | 0.0152447i | ||||
\(184\) | −10.1906 | + | 17.6506i | −0.751259 | + | 1.30122i | ||||
\(185\) | 0.905533 | + | 0.471485i | 0.0665761 | + | 0.0346643i | ||||
\(186\) | −6.09883 | − | 2.71416i | −0.447188 | − | 0.199012i | ||||
\(187\) | 9.54861 | 0.698263 | ||||||||
\(188\) | 5.17252i | 0.377245i | ||||||||
\(189\) | 6.20851 | + | 12.2660i | 0.451602 | + | 0.892219i | ||||
\(190\) | −4.31587 | − | 2.24715i | −0.313106 | − | 0.163025i | ||||
\(191\) | − | 4.95794i | − | 0.358744i | −0.983781 | − | 0.179372i | \(-0.942593\pi\) | ||
0.983781 | − | 0.179372i | \(-0.0574066\pi\) | |||||||
\(192\) | −4.19777 | + | 9.43256i | −0.302948 | + | 0.680736i | ||||
\(193\) | − | 24.1630i | − | 1.73929i | −0.493679 | − | 0.869644i | \(-0.664348\pi\) | ||
0.493679 | − | 0.869644i | \(-0.335652\pi\) | |||||||
\(194\) | −2.73952 | + | 4.74498i | −0.196686 | + | 0.340670i | ||||
\(195\) | −6.36204 | − | 7.99680i | −0.455595 | − | 0.572663i | ||||
\(196\) | 7.54475 | − | 2.39855i | 0.538911 | − | 0.171325i | ||||
\(197\) | −3.15321 | −0.224657 | −0.112328 | − | 0.993671i | \(-0.535831\pi\) | ||||
−0.112328 | + | 0.993671i | \(0.535831\pi\) | |||||||
\(198\) | −3.25121 | − | 1.05519i | −0.231053 | − | 0.0749889i | ||||
\(199\) | 13.1981 | + | 7.61991i | 0.935587 | + | 0.540161i | 0.888574 | − | 0.458733i | \(-0.151697\pi\) |
0.0470127 | + | 0.998894i | \(0.485030\pi\) | |||||||
\(200\) | −6.16974 | + | 13.2254i | −0.436266 | + | 0.935175i | ||||
\(201\) | −23.3620 | − | 10.3968i | −1.64783 | − | 0.733331i | ||||
\(202\) | −4.15038 | − | 7.18866i | −0.292019 | − | 0.505792i | ||||
\(203\) | 6.28436 | − | 16.2171i | 0.441075 | − | 1.13822i | ||||
\(204\) | −12.3795 | + | 8.99741i | −0.866742 | + | 0.629945i | ||||
\(205\) | −5.52716 | + | 10.6154i | −0.386033 | + | 0.741415i | ||||
\(206\) | −1.20203 | + | 2.08197i | −0.0837491 | + | 0.145058i | ||||
\(207\) | 20.4893 | − | 4.36226i | 1.42411 | − | 0.303198i | ||||
\(208\) | −0.605450 | − | 1.04867i | −0.0419804 | − | 0.0727122i | ||||
\(209\) | −1.42653 | + | 2.47083i | −0.0986755 | + | 0.170911i | ||||
\(210\) | 2.84426 | + | 9.11908i | 0.196272 | + | 0.629276i | ||||
\(211\) | 6.36733 | + | 11.0285i | 0.438345 | + | 0.759235i | 0.997562 | − | 0.0697858i | \(-0.0222316\pi\) |
−0.559217 | + | 0.829021i | \(0.688898\pi\) | |||||||
\(212\) | −1.33619 | + | 2.31434i | −0.0917696 | + | 0.158950i | ||||
\(213\) | −3.87660 | − | 1.72520i | −0.265620 | − | 0.118209i | ||||
\(214\) | 3.38473 | + | 5.86252i | 0.231375 | + | 0.400753i | ||||
\(215\) | 0.784019 | + | 17.9909i | 0.0534697 | + | 1.22697i | ||||
\(216\) | 14.4216 | − | 4.69381i | 0.981265 | − | 0.319374i | ||||
\(217\) | 10.8092 | − | 1.67682i | 0.733775 | − | 0.113830i | ||||
\(218\) | −1.34649 | + | 2.33218i | −0.0911955 | + | 0.157955i | ||||
\(219\) | −7.16498 | − | 9.85830i | −0.484164 | − | 0.666162i | ||||
\(220\) | 2.74160 | + | 1.42747i | 0.184839 | + | 0.0962402i | ||||
\(221\) | − | 20.6130i | − | 1.38658i | ||||||
\(222\) | −0.0771802 | − | 0.733148i | −0.00518000 | − | 0.0492057i | ||||
\(223\) | 10.5055 | − | 18.1961i | 0.703501 | − | 1.21850i | −0.263729 | − | 0.964597i | \(-0.584952\pi\) |
0.967230 | − | 0.253902i | \(-0.0817142\pi\) | |||||||
\(224\) | −2.19406 | − | 14.1434i | −0.146597 | − | 0.944998i | ||||
\(225\) | 14.3438 | − | 4.38799i | 0.956256 | − | 0.292533i | ||||
\(226\) | 0.344704 | + | 0.597044i | 0.0229293 | + | 0.0397148i | ||||
\(227\) | 9.53938 | − | 5.50756i | 0.633151 | − | 0.365550i | −0.148820 | − | 0.988864i | \(-0.547548\pi\) |
0.781971 | + | 0.623314i | \(0.214214\pi\) | |||||||
\(228\) | −0.478732 | − | 4.54756i | −0.0317048 | − | 0.301170i | ||||
\(229\) | 6.14760 | + | 3.54932i | 0.406245 | + | 0.234545i | 0.689175 | − | 0.724595i | \(-0.257973\pi\) |
−0.282930 | + | 0.959140i | \(0.591307\pi\) | |||||||
\(230\) | 14.5419 | − | 0.633717i | 0.958865 | − | 0.0417860i | ||||
\(231\) | 5.41448 | − | 1.43335i | 0.356247 | − | 0.0943073i | ||||
\(232\) | −16.6162 | − | 9.59336i | −1.09091 | − | 0.629835i | ||||
\(233\) | 7.15918 | + | 12.4001i | 0.469013 | + | 0.812355i | 0.999373 | − | 0.0354182i | \(-0.0112763\pi\) |
−0.530359 | + | 0.847773i | \(0.677943\pi\) | |||||||
\(234\) | −2.27787 | + | 7.01852i | −0.148909 | + | 0.458815i | ||||
\(235\) | 8.62552 | − | 5.49407i | 0.562667 | − | 0.358394i | ||||
\(236\) | −7.71357 | −0.502111 | ||||||||
\(237\) | −8.10484 | + | 18.2119i | −0.526466 | + | 1.18299i | ||||
\(238\) | −6.96236 | + | 17.9667i | −0.451303 | + | 1.16461i | ||||
\(239\) | −5.40175 | + | 3.11870i | −0.349410 | + | 0.201732i | −0.664425 | − | 0.747355i | \(-0.731324\pi\) |
0.315015 | + | 0.949087i | \(0.397990\pi\) | |||||||
\(240\) | 1.75791 | − | 0.262873i | 0.113473 | − | 0.0169684i | ||||
\(241\) | 16.4556 | − | 9.50065i | 1.06000 | − | 0.611991i | 0.134567 | − | 0.990904i | \(-0.457036\pi\) |
0.925432 | + | 0.378914i | \(0.123702\pi\) | |||||||
\(242\) | 4.43088 | − | 7.67451i | 0.284828 | − | 0.493336i | ||||
\(243\) | −13.5065 | − | 7.78300i | −0.866441 | − | 0.499280i | ||||
\(244\) | − | 0.331196i | − | 0.0212027i | ||||||
\(245\) | −12.0135 | − | 10.0337i | −0.767515 | − | 0.641031i | ||||
\(246\) | 8.59460 | − | 0.904774i | 0.547972 | − | 0.0576863i | ||||
\(247\) | 5.33388 | + | 3.07952i | 0.339387 | + | 0.195945i | ||||
\(248\) | − | 12.0671i | − | 0.766262i | ||||||
\(249\) | 2.90460 | − | 2.11106i | 0.184072 | − | 0.133783i | ||||
\(250\) | 10.3336 | − | 1.35786i | 0.653557 | − | 0.0858785i | ||||
\(251\) | 12.5655 | 0.793127 | 0.396564 | − | 0.918007i | \(-0.370203\pi\) | ||||
0.396564 | + | 0.918007i | \(0.370203\pi\) | |||||||
\(252\) | −5.66914 | + | 6.96023i | −0.357122 | + | 0.438453i | ||||
\(253\) | − | 8.53469i | − | 0.536571i | ||||||
\(254\) | − | 19.5369i | − | 1.22585i | ||||||
\(255\) | 28.1529 | + | 11.0870i | 1.76300 | + | 0.694294i | ||||
\(256\) | −16.8275 | −1.05172 | ||||||||
\(257\) | 9.80174 | + | 5.65904i | 0.611416 | + | 0.353001i | 0.773519 | − | 0.633773i | \(-0.218495\pi\) |
−0.162104 | + | 0.986774i | \(0.551828\pi\) | |||||||
\(258\) | 10.5187 | − | 7.64494i | 0.654865 | − | 0.475953i | ||||
\(259\) | 0.757217 | + | 0.941183i | 0.0470512 | + | 0.0584823i | ||||
\(260\) | 3.08154 | − | 5.91840i | 0.191109 | − | 0.367044i | ||||
\(261\) | 4.10662 | + | 19.2886i | 0.254193 | + | 1.19393i | ||||
\(262\) | 4.95915 | − | 8.58950i | 0.306377 | − | 0.530661i | ||||
\(263\) | −5.93399 | − | 10.2780i | −0.365905 | − | 0.633767i | 0.623016 | − | 0.782209i | \(-0.285907\pi\) |
−0.988921 | + | 0.148443i | \(0.952574\pi\) | |||||||
\(264\) | −0.646892 | − | 6.14494i | −0.0398135 | − | 0.378195i | ||||
\(265\) | 5.27857 | − | 0.230033i | 0.324260 | − | 0.0141308i | ||||
\(266\) | −3.60898 | − | 4.48578i | −0.221281 | − | 0.275041i | ||||
\(267\) | −2.89451 | + | 0.304711i | −0.177141 | + | 0.0186480i | ||||
\(268\) | − | 16.6971i | − | 1.01994i | ||||||
\(269\) | 11.6488 | − | 20.1764i | 0.710243 | − | 1.23018i | −0.254523 | − | 0.967067i | \(-0.581918\pi\) |
0.964766 | − | 0.263110i | \(-0.0847482\pi\) | |||||||
\(270\) | −8.36060 | − | 6.88610i | −0.508810 | − | 0.419075i | ||||
\(271\) | 11.9390 | − | 6.89299i | 0.725243 | − | 0.418719i | −0.0914362 | − | 0.995811i | \(-0.529146\pi\) |
0.816679 | + | 0.577092i | \(0.195812\pi\) | |||||||
\(272\) | 3.10505 | + | 1.79270i | 0.188271 | + | 0.108699i | ||||
\(273\) | −3.09422 | − | 11.6884i | −0.187271 | − | 0.707417i | ||||
\(274\) | −9.40020 | − | 16.2816i | −0.567887 | − | 0.983609i | ||||
\(275\) | −0.531624 | − | 6.08801i | −0.0320581 | − | 0.367121i | ||||
\(276\) | 8.04202 | + | 11.0650i | 0.484073 | + | 0.666036i | ||||
\(277\) | −0.971133 | + | 0.560684i | −0.0583497 | + | 0.0336882i | −0.528891 | − | 0.848690i | \(-0.677392\pi\) |
0.470541 | + | 0.882378i | \(0.344059\pi\) | |||||||
\(278\) | 2.65545 | − | 1.53313i | 0.159264 | − | 0.0919508i | ||||
\(279\) | −9.21451 | + | 8.30233i | −0.551658 | + | 0.497048i | ||||
\(280\) | −12.9698 | + | 11.3996i | −0.775095 | + | 0.681255i | ||||
\(281\) | 7.62415 | + | 4.40180i | 0.454818 | + | 0.262590i | 0.709863 | − | 0.704340i | \(-0.248757\pi\) |
−0.255045 | + | 0.966929i | \(0.582090\pi\) | |||||||
\(282\) | −6.74663 | − | 3.00245i | −0.401756 | − | 0.178793i | ||||
\(283\) | −11.6376 | −0.691781 | −0.345890 | − | 0.938275i | \(-0.612423\pi\) | ||||
−0.345890 | + | 0.938275i | \(0.612423\pi\) | |||||||
\(284\) | − | 2.77065i | − | 0.164408i | ||||||
\(285\) | −7.07487 | + | 5.62857i | −0.419079 | + | 0.333408i | ||||
\(286\) | 2.60349 | + | 1.50313i | 0.153948 | + | 0.0888818i | ||||
\(287\) | −11.0334 | + | 8.87675i | −0.651279 | + | 0.523978i | ||||
\(288\) | 10.8633 | + | 12.0569i | 0.640126 | + | 0.710457i | ||||
\(289\) | 22.0169 | + | 38.1344i | 1.29511 | + | 2.24320i | ||||
\(290\) | 0.596578 | + | 13.6897i | 0.0350323 | + | 0.803886i | ||||
\(291\) | 5.98504 | + | 8.23482i | 0.350849 | + | 0.482733i | ||||
\(292\) | 3.97887 | − | 6.89161i | 0.232846 | − | 0.403301i | ||||
\(293\) | 16.4546 | − | 9.50008i | 0.961289 | − | 0.555000i | 0.0647194 | − | 0.997904i | \(-0.479385\pi\) |
0.896569 | + | 0.442903i | \(0.146051\pi\) | |||||||
\(294\) | −1.25096 | + | 11.2331i | −0.0729578 | + | 0.655125i | ||||
\(295\) | 8.19308 | + | 12.8629i | 0.477020 | + | 0.748907i | ||||
\(296\) | 1.15408 | − | 0.666307i | 0.0670794 | − | 0.0387283i | ||||
\(297\) | −4.24724 | + | 4.72177i | −0.246450 | + | 0.273985i | ||||
\(298\) | 12.0949 | + | 6.98300i | 0.700639 | + | 0.404514i | ||||
\(299\) | −18.4242 | −1.06550 | ||||||||
\(300\) | 6.42582 | + | 7.39203i | 0.370995 | + | 0.426779i | ||||
\(301\) | −7.69902 | + | 19.8677i | −0.443764 | + | 1.14516i | ||||
\(302\) | −1.86951 | − | 3.23809i | −0.107578 | − | 0.186331i | ||||
\(303\) | −15.3380 | + | 1.61467i | −0.881146 | + | 0.0927603i | ||||
\(304\) | −0.927772 | + | 0.535649i | −0.0532114 | + | 0.0307216i | ||||
\(305\) | −0.552292 | + | 0.351785i | −0.0316241 | + | 0.0201431i | ||||
\(306\) | −4.54967 | − | 21.3696i | −0.260087 | − | 1.22162i | ||||
\(307\) | −12.8703 | −0.734544 | −0.367272 | − | 0.930114i | \(-0.619708\pi\) | ||||
−0.367272 | + | 0.930114i | \(0.619708\pi\) | |||||||
\(308\) | 2.29256 | + | 2.84954i | 0.130631 | + | 0.162367i | ||||
\(309\) | 2.62607 | + | 3.61322i | 0.149392 | + | 0.205549i | ||||
\(310\) | −7.26876 | + | 4.62987i | −0.412838 | + | 0.262959i | ||||
\(311\) | 28.9267 | 1.64028 | 0.820141 | − | 0.572162i | \(-0.193895\pi\) | ||||
0.820141 | + | 0.572162i | \(0.193895\pi\) | |||||||
\(312\) | −13.2653 | + | 1.39647i | −0.751001 | + | 0.0790597i | ||||
\(313\) | −32.1610 | −1.81785 | −0.908925 | − | 0.416960i | \(-0.863095\pi\) | ||||
−0.908925 | + | 0.416960i | \(0.863095\pi\) | |||||||
\(314\) | 16.4455 | 0.928071 | ||||||||
\(315\) | 17.6282 | + | 2.06076i | 0.993236 | + | 0.116111i | ||||
\(316\) | −13.0163 | −0.732223 | ||||||||
\(317\) | −1.76019 | −0.0988622 | −0.0494311 | − | 0.998778i | \(-0.515741\pi\) | ||||
−0.0494311 | + | 0.998778i | \(0.515741\pi\) | |||||||
\(318\) | −2.24304 | − | 3.08620i | −0.125784 | − | 0.173066i | ||||
\(319\) | 8.03452 | 0.449847 | ||||||||
\(320\) | 7.16065 | + | 11.2420i | 0.400292 | + | 0.628447i | ||||
\(321\) | 12.5085 | − | 1.31680i | 0.698156 | − | 0.0734965i | ||||
\(322\) | 16.0589 | + | 6.22306i | 0.894930 | + | 0.346798i | ||||
\(323\) | −18.2365 | −1.01471 | ||||||||
\(324\) | 1.05724 | − | 10.1237i | 0.0587356 | − | 0.562430i | ||||
\(325\) | −13.1424 | + | 1.14764i | −0.729011 | + | 0.0636595i | ||||
\(326\) | −3.58069 | + | 2.06731i | −0.198316 | + | 0.114498i | ||||
\(327\) | 2.94167 | + | 4.04745i | 0.162675 | + | 0.223825i | ||||
\(328\) | 7.81103 | + | 13.5291i | 0.431292 | + | 0.747019i | ||||
\(329\) | 11.9573 | − | 1.85493i | 0.659228 | − | 0.102266i | ||||
\(330\) | −3.45328 | + | 2.74734i | −0.190097 | + | 0.151236i | ||||
\(331\) | −3.71932 | −0.204432 | −0.102216 | − | 0.994762i | \(-0.532593\pi\) | ||||
−0.102216 | + | 0.994762i | \(0.532593\pi\) | |||||||
\(332\) | 2.03051 | + | 1.17232i | 0.111439 | + | 0.0643392i | ||||
\(333\) | −1.30282 | − | 0.422832i | −0.0713939 | − | 0.0231710i | ||||
\(334\) | 8.75628 | − | 5.05544i | 0.479122 | − | 0.276621i | ||||
\(335\) | −27.8435 | + | 17.7350i | −1.52125 | + | 0.968969i | ||||
\(336\) | 2.02980 | + | 0.550440i | 0.110735 | + | 0.0300290i | ||||
\(337\) | 23.7054 | − | 13.6863i | 1.29132 | − | 0.745542i | 0.312428 | − | 0.949941i | \(-0.398858\pi\) |
0.978887 | + | 0.204400i | \(0.0655243\pi\) | |||||||
\(338\) | −2.81453 | + | 4.87491i | −0.153090 | + | 0.265160i | ||||
\(339\) | 1.27388 | − | 0.134104i | 0.0691875 | − | 0.00728353i | ||||
\(340\) | 0.860173 | + | 19.7384i | 0.0466494 | + | 1.07046i | ||||
\(341\) | 2.52658 | + | 4.37616i | 0.136822 | + | 0.236982i | ||||
\(342\) | 6.20937 | + | 2.01526i | 0.335764 | + | 0.108973i | ||||
\(343\) | −8.25036 | − | 16.5811i | −0.445478 | − | 0.895293i | ||||
\(344\) | 20.3566 | + | 11.7529i | 1.09756 | + | 0.633675i | ||||
\(345\) | 9.90972 | − | 25.1635i | 0.533521 | − | 1.35476i | ||||
\(346\) | − | 13.5841i | − | 0.730288i | ||||||
\(347\) | 7.23836 | 0.388576 | 0.194288 | − | 0.980945i | \(-0.437760\pi\) | ||||
0.194288 | + | 0.980945i | \(0.437760\pi\) | |||||||
\(348\) | −10.4166 | + | 7.57073i | −0.558387 | + | 0.405833i | ||||
\(349\) | −23.6947 | − | 13.6801i | −1.26835 | − | 0.732281i | −0.293672 | − | 0.955906i | \(-0.594877\pi\) |
−0.974675 | + | 0.223625i | \(0.928211\pi\) | |||||||
\(350\) | 11.8429 | + | 3.43876i | 0.633029 | + | 0.183809i | ||||
\(351\) | 10.1931 | + | 9.16869i | 0.544066 | + | 0.489388i | ||||
\(352\) | 5.72605 | − | 3.30594i | 0.305199 | − | 0.176207i | ||||
\(353\) | 10.0741 | − | 5.81628i | 0.536190 | − | 0.309569i | −0.207344 | − | 0.978268i | \(-0.566482\pi\) |
0.743533 | + | 0.668699i | \(0.233148\pi\) | |||||||
\(354\) | 4.47743 | − | 10.0610i | 0.237973 | − | 0.534735i | ||||
\(355\) | −4.62025 | + | 2.94289i | −0.245217 | + | 0.156192i | ||||
\(356\) | −0.950235 | − | 1.64586i | −0.0503624 | − | 0.0872302i | ||||
\(357\) | 25.2388 | + | 25.3912i | 1.33578 | + | 1.34385i | ||||
\(358\) | −18.3976 | − | 10.6218i | −0.972341 | − | 0.561381i | ||||
\(359\) | −18.0869 | + | 10.4425i | −0.954588 | + | 0.551131i | −0.894503 | − | 0.447062i | \(-0.852470\pi\) |
−0.0600846 | + | 0.998193i | \(0.519137\pi\) | |||||||
\(360\) | 5.22767 | − | 18.8687i | 0.275523 | − | 0.994469i | ||||
\(361\) | −6.77551 | + | 11.7355i | −0.356606 | + | 0.617660i | ||||
\(362\) | 14.1015i | 0.741159i | ||||||||
\(363\) | −9.68017 | − | 13.3190i | −0.508077 | − | 0.699064i | ||||
\(364\) | 6.15140 | − | 4.94903i | 0.322421 | − | 0.259400i | ||||
\(365\) | −15.7184 | + | 0.684988i | −0.822740 | + | 0.0358539i | ||||
\(366\) | 0.431987 | + | 0.192247i | 0.0225803 | + | 0.0100489i | ||||
\(367\) | 10.9025 | + | 18.8837i | 0.569105 | + | 0.985719i | 0.996655 | + | 0.0817269i | \(0.0260435\pi\) |
−0.427550 | + | 0.903992i | \(0.640623\pi\) | |||||||
\(368\) | 1.60235 | − | 2.77534i | 0.0835280 | − | 0.144675i | ||||
\(369\) | 4.95680 | − | 15.2727i | 0.258041 | − | 0.795067i | ||||
\(370\) | −0.844151 | − | 0.439525i | −0.0438853 | − | 0.0228498i | ||||
\(371\) | 5.82924 | + | 2.25891i | 0.302639 | + | 0.117277i | ||||
\(372\) | −7.39919 | − | 3.29286i | −0.383630 | − | 0.170727i | ||||
\(373\) | −2.67273 | − | 1.54310i | −0.138389 | − | 0.0798987i | 0.429207 | − | 0.903206i | \(-0.358793\pi\) |
−0.567596 | + | 0.823307i | \(0.692126\pi\) | |||||||
\(374\) | −8.90135 | −0.460278 | ||||||||
\(375\) | 5.50142 | − | 18.5670i | 0.284092 | − | 0.958797i | ||||
\(376\) | − | 13.3489i | − | 0.688415i | ||||||
\(377\) | − | 17.3444i | − | 0.893284i | ||||||
\(378\) | −5.78766 | − | 11.4345i | −0.297685 | − | 0.588129i | ||||
\(379\) | 10.7760 | 0.553524 | 0.276762 | − | 0.960939i | \(-0.410739\pi\) | ||||
0.276762 | + | 0.960939i | \(0.410739\pi\) | |||||||
\(380\) | −5.23608 | − | 2.72628i | −0.268605 | − | 0.139855i | ||||
\(381\) | −33.1637 | − | 14.7588i | −1.69903 | − | 0.756118i | ||||
\(382\) | 4.62186i | 0.236475i | ||||||||
\(383\) | −11.2799 | − | 6.51245i | −0.576375 | − | 0.332770i | 0.183316 | − | 0.983054i | \(-0.441317\pi\) |
−0.759692 | + | 0.650284i | \(0.774650\pi\) | |||||||
\(384\) | −3.70601 | + | 8.32757i | −0.189122 | + | 0.424964i | ||||
\(385\) | 2.31672 | − | 6.84967i | 0.118071 | − | 0.349091i | ||||
\(386\) | 22.5251i | 1.14650i | ||||||||
\(387\) | −5.03105 | − | 23.6306i | −0.255743 | − | 1.20121i | ||||
\(388\) | −3.32362 | + | 5.75669i | −0.168731 | + | 0.292251i | ||||
\(389\) | −6.90679 | + | 3.98764i | −0.350188 | + | 0.202181i | −0.664768 | − | 0.747050i | \(-0.731470\pi\) |
0.314580 | + | 0.949231i | \(0.398136\pi\) | |||||||
\(390\) | 5.93078 | + | 7.45473i | 0.300317 | + | 0.377485i | ||||
\(391\) | 47.2442 | − | 27.2765i | 2.38924 | − | 1.37943i | ||||
\(392\) | −19.4709 | + | 6.18999i | −0.983431 | + | 0.312642i | ||||
\(393\) | −10.8343 | − | 14.9069i | −0.546518 | − | 0.751954i | ||||
\(394\) | 2.93946 | 0.148088 | ||||||||
\(395\) | 13.8254 | + | 21.7055i | 0.695633 | + | 1.09212i | ||||
\(396\) | −3.94442 | − | 1.28017i | −0.198215 | − | 0.0643310i | ||||
\(397\) | −7.08543 | − | 12.2723i | −0.355607 | − | 0.615930i | 0.631614 | − | 0.775283i | \(-0.282393\pi\) |
−0.987222 | + | 0.159353i | \(0.949059\pi\) | |||||||
\(398\) | −12.3034 | − | 7.10339i | −0.616715 | − | 0.356061i | ||||
\(399\) | −10.3409 | + | 2.73750i | −0.517693 | + | 0.137046i | ||||
\(400\) | 0.970118 | − | 2.07953i | 0.0485059 | − | 0.103977i | ||||
\(401\) | −8.03685 | − | 4.64008i | −0.401341 | − | 0.231714i | 0.285721 | − | 0.958313i | \(-0.407767\pi\) |
−0.687062 | + | 0.726598i | \(0.741100\pi\) | |||||||
\(402\) | 21.7784 | + | 9.69201i | 1.08621 | + | 0.483394i | ||||
\(403\) | 9.44699 | − | 5.45422i | 0.470588 | − | 0.271694i | ||||
\(404\) | −5.03530 | − | 8.72140i | −0.250516 | − | 0.433906i | ||||
\(405\) | −18.0050 | + | 8.99005i | −0.894674 | + | 0.446719i | ||||
\(406\) | −5.85836 | + | 15.1178i | −0.290746 | + | 0.750285i | ||||
\(407\) | −0.279019 | + | 0.483275i | −0.0138305 | + | 0.0239551i | ||||
\(408\) | 31.9482 | − | 23.2198i | 1.58167 | − | 1.14955i | ||||
\(409\) | − | 22.5214i | − | 1.11361i | −0.830642 | − | 0.556806i | \(-0.812027\pi\) | ||
0.830642 | − | 0.556806i | \(-0.187973\pi\) | |||||||
\(410\) | 5.15249 | − | 9.89586i | 0.254464 | − | 0.488722i | ||||
\(411\) | −34.7391 | + | 3.65707i | −1.71355 | + | 0.180390i | ||||
\(412\) | −1.45832 | + | 2.52588i | −0.0718461 | + | 0.124441i | ||||
\(413\) | 2.76618 | + | 17.8315i | 0.136115 | + | 0.877429i | ||||
\(414\) | −19.1004 | + | 4.06656i | −0.938736 | + | 0.199861i | ||||
\(415\) | −0.201822 | − | 4.63120i | −0.00990703 | − | 0.227337i | ||||
\(416\) | −7.13665 | − | 12.3610i | −0.349903 | − | 0.606050i | ||||
\(417\) | −0.596450 | − | 5.66578i | −0.0292083 | − | 0.277455i | ||||
\(418\) | 1.32984 | − | 2.30334i | 0.0650444 | − | 0.112660i | ||||
\(419\) | −3.40062 | − | 5.89004i | −0.166131 | − | 0.287747i | 0.770925 | − | 0.636926i | \(-0.219794\pi\) |
−0.937056 | + | 0.349178i | \(0.886461\pi\) | |||||||
\(420\) | 3.45070 | + | 11.0634i | 0.168377 | + | 0.539839i | ||||
\(421\) | −16.6544 | + | 28.8462i | −0.811685 | + | 1.40588i | 0.0999985 | + | 0.994988i | \(0.468116\pi\) |
−0.911684 | + | 0.410893i | \(0.865217\pi\) | |||||||
\(422\) | −5.93571 | − | 10.2810i | −0.288946 | − | 0.500469i | ||||
\(423\) | −10.1933 | + | 9.18419i | −0.495613 | + | 0.446551i | ||||
\(424\) | 3.44833 | − | 5.97268i | 0.167466 | − | 0.290059i | ||||
\(425\) | 32.0014 | − | 22.3998i | 1.55230 | − | 1.08655i | ||||
\(426\) | 3.61382 | + | 1.60826i | 0.175090 | + | 0.0779203i | ||||
\(427\) | −0.765626 | + | 0.118771i | −0.0370513 | + | 0.00574774i | ||||
\(428\) | 4.10640 | + | 7.11250i | 0.198490 | + | 0.343796i | ||||
\(429\) | 4.51831 | − | 3.28389i | 0.218146 | − | 0.158548i | ||||
\(430\) | −0.730874 | − | 16.7714i | −0.0352459 | − | 0.808787i | ||||
\(431\) | −23.9228 | − | 13.8118i | −1.15232 | − | 0.665292i | −0.202868 | − | 0.979206i | \(-0.565026\pi\) |
−0.949451 | + | 0.313914i | \(0.898360\pi\) | |||||||
\(432\) | −2.26762 | + | 0.738046i | −0.109101 | + | 0.0355093i | ||||
\(433\) | 6.73121 | 0.323481 | 0.161741 | − | 0.986833i | \(-0.448289\pi\) | ||||
0.161741 | + | 0.986833i | \(0.448289\pi\) | |||||||
\(434\) | −10.0765 | + | 1.56316i | −0.483686 | + | 0.0750339i | ||||
\(435\) | 23.6888 | + | 9.32896i | 1.13579 | + | 0.447290i | ||||
\(436\) | −1.63358 | + | 2.82944i | −0.0782342 | + | 0.135506i | ||||
\(437\) | 16.3001i | 0.779739i | ||||||||
\(438\) | 6.67929 | + | 9.19005i | 0.319149 | + | 0.439117i | ||||
\(439\) | 16.9811i | 0.810466i | 0.914213 | + | 0.405233i | \(0.132810\pi\) | ||||
−0.914213 | + | 0.405233i | \(0.867190\pi\) | |||||||
\(440\) | −7.07532 | − | 3.68392i | −0.337302 | − | 0.175624i | ||||
\(441\) | 18.1230 | + | 10.6093i | 0.862999 | + | 0.505206i | ||||
\(442\) | 19.2157i | 0.913997i | ||||||||
\(443\) | −23.9429 | −1.13756 | −0.568781 | − | 0.822489i | \(-0.692585\pi\) | ||||
−0.568781 | + | 0.822489i | \(0.692585\pi\) | |||||||
\(444\) | −0.0936363 | − | 0.889467i | −0.00444378 | − | 0.0422123i | ||||
\(445\) | −1.73527 | + | 3.33275i | −0.0822596 | + | 0.157987i | ||||
\(446\) | −9.79338 | + | 16.9626i | −0.463730 | + | 0.803204i | ||||
\(447\) | 20.9905 | − | 15.2558i | 0.992815 | − | 0.721574i | ||||
\(448\) | 2.41761 | + | 15.5845i | 0.114221 | + | 0.736297i | ||||
\(449\) | 0.967708i | 0.0456690i | 0.999739 | + | 0.0228345i | \(0.00726907\pi\) | ||||
−0.999739 | + | 0.0228345i | \(0.992731\pi\) | |||||||
\(450\) | −13.3715 | + | 4.09054i | −0.630340 | + | 0.192830i | ||||
\(451\) | −5.66537 | − | 3.27090i | −0.266772 | − | 0.154021i | ||||
\(452\) | 0.418200 | + | 0.724343i | 0.0196705 | + | 0.0340702i | ||||
\(453\) | −6.90891 | + | 0.727317i | −0.324609 | + | 0.0341723i | ||||
\(454\) | −8.89274 | + | 5.13423i | −0.417357 | + | 0.240961i | ||||
\(455\) | −14.7866 | − | 5.00119i | −0.693209 | − | 0.234459i | ||||
\(456\) | 1.23548 | + | 11.7360i | 0.0578565 | + | 0.549589i | ||||
\(457\) | 19.5198i | 0.913098i | 0.889698 | + | 0.456549i | \(0.150915\pi\) | ||||
−0.889698 | + | 0.456549i | \(0.849085\pi\) | |||||||
\(458\) | −5.73087 | − | 3.30872i | −0.267786 | − | 0.154606i | ||||
\(459\) | −39.7116 | − | 8.42026i | −1.85358 | − | 0.393024i | ||||
\(460\) | 17.6425 | − | 0.768835i | 0.822585 | − | 0.0358471i | ||||
\(461\) | −1.38530 | + | 2.39941i | −0.0645199 | + | 0.111752i | −0.896481 | − | 0.443082i | \(-0.853885\pi\) |
0.831961 | + | 0.554834i | \(0.187218\pi\) | |||||||
\(462\) | −5.04745 | + | 1.33619i | −0.234829 | + | 0.0621650i | ||||
\(463\) | −17.0428 | + | 9.83967i | −0.792046 | + | 0.457288i | −0.840682 | − | 0.541528i | \(-0.817846\pi\) |
0.0486362 | + | 0.998817i | \(0.484513\pi\) | |||||||
\(464\) | 2.61270 | + | 1.50844i | 0.121291 | + | 0.0700276i | ||||
\(465\) | 2.36810 | + | 15.8362i | 0.109818 | + | 0.734386i | ||||
\(466\) | −6.67388 | − | 11.5595i | −0.309162 | − | 0.535484i | ||||
\(467\) | 13.4844 | − | 7.78521i | 0.623983 | − | 0.360257i | −0.154435 | − | 0.988003i | \(-0.549356\pi\) |
0.778418 | + | 0.627746i | \(0.216022\pi\) | |||||||
\(468\) | −2.76355 | + | 8.51498i | −0.127745 | + | 0.393605i | ||||
\(469\) | −38.5986 | + | 5.98778i | −1.78232 | + | 0.276490i | ||||
\(470\) | −8.04083 | + | 5.12165i | −0.370896 | + | 0.236244i | ||||
\(471\) | 12.4235 | − | 27.9160i | 0.572443 | − | 1.28630i | ||||
\(472\) | 19.9066 | 0.916276 | ||||||||
\(473\) | −9.84317 | −0.452589 | ||||||||
\(474\) | 7.55545 | − | 16.9774i | 0.347033 | − | 0.779798i | ||||
\(475\) | 1.01533 | + | 11.6273i | 0.0465865 | + | 0.533496i | ||||
\(476\) | −8.44685 | + | 21.7975i | −0.387161 | + | 0.999089i | ||||
\(477\) | −6.93327 | + | 1.47612i | −0.317453 | + | 0.0675870i | ||||
\(478\) | 5.03559 | − | 2.90730i | 0.230322 | − | 0.132977i | ||||
\(479\) | 4.67257 | + | 8.09313i | 0.213495 | + | 0.369784i | 0.952806 | − | 0.303580i | \(-0.0981819\pi\) |
−0.739311 | + | 0.673364i | \(0.764849\pi\) | |||||||
\(480\) | 20.7211 | − | 3.09857i | 0.945785 | − | 0.141430i | ||||
\(481\) | 1.04327 | + | 0.602329i | 0.0475688 | + | 0.0274639i | ||||
\(482\) | −15.3402 | + | 8.85664i | −0.698725 | + | 0.403409i | ||||
\(483\) | 22.6951 | − | 22.5588i | 1.03266 | − | 1.02646i | ||||
\(484\) | 5.37561 | − | 9.31083i | 0.244346 | − | 0.423220i | ||||
\(485\) | 13.1299 | − | 0.572183i | 0.596198 | − | 0.0259815i | ||||
\(486\) | 12.5909 | + | 7.25543i | 0.571136 | + | 0.329113i | ||||
\(487\) | 7.99734 | + | 4.61727i | 0.362394 | + | 0.209228i | 0.670130 | − | 0.742243i | \(-0.266238\pi\) |
−0.307736 | + | 0.951472i | \(0.599571\pi\) | |||||||
\(488\) | 0.854727i | 0.0386917i | ||||||||
\(489\) | 0.804271 | + | 7.63991i | 0.0363704 | + | 0.345489i | ||||
\(490\) | 11.1992 | + | 9.35358i | 0.505926 | + | 0.422552i | ||||
\(491\) | 2.31216 | − | 1.33493i | 0.104347 | − | 0.0602445i | −0.446919 | − | 0.894575i | \(-0.647479\pi\) |
0.551265 | + | 0.834330i | \(0.314145\pi\) | |||||||
\(492\) | 10.4271 | − | 1.09769i | 0.470090 | − | 0.0494875i | ||||
\(493\) | 25.6779 | + | 44.4755i | 1.15648 | + | 2.00308i | ||||
\(494\) | −4.97232 | − | 2.87077i | −0.223715 | − | 0.129162i | ||||
\(495\) | 2.05485 | + | 7.93733i | 0.0923588 | + | 0.356757i | ||||
\(496\) | 1.89741i | 0.0851962i | ||||||||
\(497\) | −6.40492 | + | 0.993590i | −0.287300 | + | 0.0445686i | ||||
\(498\) | −2.70771 | + | 1.96796i | −0.121335 | + | 0.0881862i | ||||
\(499\) | 5.92702 | − | 10.2659i | 0.265330 | − | 0.459565i | −0.702320 | − | 0.711861i | \(-0.747852\pi\) |
0.967650 | + | 0.252296i | \(0.0811858\pi\) | |||||||
\(500\) | 12.5369 | − | 1.64738i | 0.560669 | − | 0.0736729i | ||||
\(501\) | −1.96678 | − | 18.6827i | −0.0878691 | − | 0.834684i | ||||
\(502\) | −11.7137 | −0.522810 | ||||||||
\(503\) | − | 7.62907i | − | 0.340164i | −0.985430 | − | 0.170082i | \(-0.945597\pi\) | ||
0.985430 | − | 0.170082i | \(-0.0544032\pi\) | |||||||
\(504\) | 14.6305 | − | 17.9624i | 0.651694 | − | 0.800110i | ||||
\(505\) | −9.19519 | + | 17.6603i | −0.409181 | + | 0.785871i | ||||
\(506\) | 7.95616i | 0.353694i | ||||||||
\(507\) | 6.14892 | + | 8.46031i | 0.273083 | + | 0.375736i | ||||
\(508\) | − | 23.7025i | − | 1.05163i | ||||||
\(509\) | −2.54774 | + | 4.41282i | −0.112927 | + | 0.195595i | −0.916949 | − | 0.399004i | \(-0.869356\pi\) |
0.804022 | + | 0.594599i | \(0.202689\pi\) | |||||||
\(510\) | −26.2445 | − | 10.3354i | −1.16213 | − | 0.457661i | ||||
\(511\) | −17.3582 | − | 6.72654i | −0.767882 | − | 0.297565i | ||||
\(512\) | 5.16173 | 0.228118 | ||||||||
\(513\) | 8.11165 | − | 9.01795i | 0.358138 | − | 0.398152i | ||||
\(514\) | −9.13732 | − | 5.27543i | −0.403030 | − | 0.232689i | ||||
\(515\) | 5.76104 | − | 0.251058i | 0.253862 | − | 0.0110630i | ||||
\(516\) | 12.7614 | − | 9.27497i | 0.561791 | − | 0.408308i | ||||
\(517\) | 2.79495 | + | 4.84099i | 0.122922 | + | 0.212906i | ||||
\(518\) | −0.705888 | − | 0.877384i | −0.0310149 | − | 0.0385501i | ||||
\(519\) | −23.0589 | − | 10.2619i | −1.01218 | − | 0.450448i | ||||
\(520\) | −7.95261 | + | 15.2738i | −0.348745 | + | 0.669799i | ||||
\(521\) | −2.29742 | + | 3.97925i | −0.100652 | + | 0.174334i | −0.911953 | − | 0.410294i | \(-0.865426\pi\) |
0.811302 | + | 0.584628i | \(0.198759\pi\) | |||||||
\(522\) | −3.82824 | − | 17.9811i | −0.167558 | − | 0.787010i | ||||
\(523\) | 9.14719 | + | 15.8434i | 0.399979 | + | 0.692784i | 0.993723 | − | 0.111870i | \(-0.0356841\pi\) |
−0.593744 | + | 0.804654i | \(0.702351\pi\) | |||||||
\(524\) | 6.01652 | − | 10.4209i | 0.262833 | − | 0.455240i | ||||
\(525\) | 14.7838 | − | 17.5054i | 0.645217 | − | 0.764000i | ||||
\(526\) | 5.53175 | + | 9.58127i | 0.241196 | + | 0.417763i | ||||
\(527\) | −16.1496 | + | 27.9720i | −0.703489 | + | 1.21848i | ||||
\(528\) | 0.101716 | + | 0.966219i | 0.00442663 | + | 0.0420493i | ||||
\(529\) | −12.8801 | − | 22.3090i | −0.560005 | − | 0.969957i | ||||
\(530\) | −4.92076 | + | 0.214440i | −0.213744 | + | 0.00931467i | ||||
\(531\) | −13.6960 | − | 15.2008i | −0.594357 | − | 0.659659i | ||||
\(532\) | −4.37847 | − | 5.44222i | −0.189831 | − | 0.235950i | ||||
\(533\) | −7.06103 | + | 12.2301i | −0.305847 | + | 0.529743i | ||||
\(534\) | 2.69830 | − | 0.284056i | 0.116767 | − | 0.0122923i | ||||
\(535\) | 7.49889 | − | 14.4023i | 0.324205 | − | 0.622668i | ||||
\(536\) | 43.0906i | 1.86123i | ||||||||
\(537\) | −31.9286 | + | 23.2056i | −1.37782 | + | 1.00140i | ||||
\(538\) | −10.8592 | + | 18.8087i | −0.468174 | + | 0.810902i | ||||
\(539\) | 5.76513 | − | 6.32158i | 0.248322 | − | 0.272290i | ||||
\(540\) | −10.1432 | − | 8.35433i | −0.436495 | − | 0.359513i | ||||
\(541\) | −4.72439 | − | 8.18288i | −0.203117 | − | 0.351809i | 0.746414 | − | 0.665482i | \(-0.231774\pi\) |
−0.949531 | + | 0.313672i | \(0.898441\pi\) | |||||||
\(542\) | −11.1297 | + | 6.42574i | −0.478062 | + | 0.276009i | ||||
\(543\) | 23.9372 | + | 10.6527i | 1.02724 | + | 0.457153i | ||||
\(544\) | 36.6003 | + | 21.1312i | 1.56923 | + | 0.905994i | ||||
\(545\) | 6.45340 | − | 0.281231i | 0.276433 | − | 0.0120466i | ||||
\(546\) | 2.88448 | + | 10.8961i | 0.123444 | + | 0.466312i | ||||
\(547\) | −25.4387 | − | 14.6870i | −1.08768 | − | 0.627972i | −0.154722 | − | 0.987958i | \(-0.549448\pi\) |
−0.932958 | + | 0.359986i | \(0.882781\pi\) | |||||||
\(548\) | −11.4045 | − | 19.7531i | −0.487175 | − | 0.843812i | ||||
\(549\) | 0.652674 | − | 0.588063i | 0.0278554 | − | 0.0250979i | ||||
\(550\) | 0.495588 | + | 5.67533i | 0.0211319 | + | 0.241997i | ||||
\(551\) | −15.3448 | −0.653712 | ||||||||
\(552\) | −20.7543 | − | 28.5558i | −0.883360 | − | 1.21542i | ||||
\(553\) | 4.66780 | + | 30.0897i | 0.198495 | + | 1.27955i | ||||
\(554\) | 0.905303 | − | 0.522677i | 0.0384627 | − | 0.0222064i | ||||
\(555\) | −1.38379 | + | 1.10091i | −0.0587386 | + | 0.0467308i | ||||
\(556\) | 3.22164 | − | 1.86001i | 0.136628 | − | 0.0788822i | ||||
\(557\) | 15.8036 | − | 27.3726i | 0.669620 | − | 1.15982i | −0.308391 | − | 0.951260i | \(-0.599790\pi\) |
0.978011 | − | 0.208556i | \(-0.0668762\pi\) | |||||||
\(558\) | 8.58990 | − | 7.73955i | 0.363639 | − | 0.327641i | ||||
\(559\) | 21.2488i | 0.898730i | ||||||||
\(560\) | 2.03935 | − | 1.79245i | 0.0861782 | − | 0.0757448i | ||||
\(561\) | −6.72437 | + | 15.1100i | −0.283903 | + | 0.637943i | ||||
\(562\) | −7.10734 | − | 4.10342i | −0.299805 | − | 0.173092i | ||||
\(563\) | − | 32.8005i | − | 1.38238i | −0.722675 | − | 0.691189i | \(-0.757087\pi\) | ||
0.722675 | − | 0.691189i | \(-0.242913\pi\) | |||||||
\(564\) | −8.18512 | − | 3.64262i | −0.344656 | − | 0.153382i | ||||
\(565\) | 0.763694 | − | 1.46675i | 0.0321288 | − | 0.0617065i | ||||
\(566\) | 10.8487 | 0.456005 | ||||||||
\(567\) | −23.7822 | + | 1.18647i | −0.998758 | + | 0.0498272i | ||||
\(568\) | 7.15029i | 0.300020i | ||||||||
\(569\) | 13.2720i | 0.556393i | 0.960524 | + | 0.278197i | \(0.0897366\pi\) | ||||
−0.960524 | + | 0.278197i | \(0.910263\pi\) | |||||||
\(570\) | 6.59529 | − | 5.24704i | 0.276246 | − | 0.219774i | ||||
\(571\) | 6.14754 | 0.257266 | 0.128633 | − | 0.991692i | \(-0.458941\pi\) | ||||
0.128633 | + | 0.991692i | \(0.458941\pi\) | |||||||
\(572\) | 3.15860 | + | 1.82362i | 0.132068 | + | 0.0762493i | ||||
\(573\) | 7.84557 | + | 3.49151i | 0.327753 | + | 0.145860i | ||||
\(574\) | 10.2855 | − | 8.27503i | 0.429307 | − | 0.345393i | ||||
\(575\) | −20.0213 | − | 28.6034i | −0.834946 | − | 1.19284i | ||||
\(576\) | −11.9701 | − | 13.2853i | −0.498756 | − | 0.553554i | ||||
\(577\) | 12.0072 | − | 20.7971i | 0.499866 | − | 0.865793i | −0.500134 | − | 0.865948i | \(-0.666716\pi\) |
1.00000 | 0.000155138i | \(4.93818e-5\pi\) | ||||||||
\(578\) | −20.5245 | − | 35.5494i | −0.853705 | − | 1.47866i | ||||
\(579\) | 38.2361 | + | 17.0162i | 1.58904 | + | 0.707168i | ||||
\(580\) | 0.723778 | + | 16.6086i | 0.0300533 | + | 0.689633i | ||||
\(581\) | 1.98188 | − | 5.11434i | 0.0822221 | − | 0.212179i | ||||
\(582\) | −5.57933 | − | 7.67661i | −0.231271 | − | 0.318206i | ||||
\(583\) | 2.88801i | 0.119609i | ||||||||
\(584\) | −10.2684 | + | 17.7853i | −0.424908 | + | 0.735963i | ||||
\(585\) | 17.1346 | − | 4.43590i | 0.708430 | − | 0.183402i | ||||
\(586\) | −15.3392 | + | 8.85610i | −0.633657 | + | 0.365842i | ||||
\(587\) | 36.2012 | + | 20.9007i | 1.49418 | + | 0.862666i | 0.999978 | − | 0.00668002i | \(-0.00212633\pi\) |
0.494204 | + | 0.869346i | \(0.335460\pi\) | |||||||
\(588\) | −1.51769 | + | 13.6281i | −0.0625885 | + | 0.562014i | ||||
\(589\) | −4.82542 | − | 8.35787i | −0.198828 | − | 0.344380i | ||||
\(590\) | −7.63771 | − | 11.9910i | −0.314439 | − | 0.493661i | ||||
\(591\) | 2.22057 | − | 4.98971i | 0.0913419 | − | 0.205249i | ||||
\(592\) | −0.181465 | + | 0.104769i | −0.00745816 | + | 0.00430597i | ||||
\(593\) | 5.44034 | − | 3.14098i | 0.223408 | − | 0.128985i | −0.384119 | − | 0.923283i | \(-0.625495\pi\) |
0.607527 | + | 0.794299i | \(0.292162\pi\) | |||||||
\(594\) | 3.95934 | − | 4.40170i | 0.162454 | − | 0.180604i | ||||
\(595\) | 45.3208 | − | 9.06690i | 1.85797 | − | 0.371706i | ||||
\(596\) | 14.6737 | + | 8.47188i | 0.601060 | + | 0.347022i | ||||
\(597\) | −21.3524 | + | 15.5188i | −0.873894 | + | 0.635143i | ||||
\(598\) | 17.1753 | 0.702349 | ||||||||
\(599\) | − | 1.20819i | − | 0.0493654i | −0.999695 | − | 0.0246827i | \(-0.992142\pi\) | ||
0.999695 | − | 0.0246827i | \(-0.00785754\pi\) | |||||||
\(600\) | −16.5833 | − | 19.0768i | −0.677009 | − | 0.778807i | ||||
\(601\) | 5.25953 | + | 3.03659i | 0.214541 | + | 0.123865i | 0.603420 | − | 0.797424i | \(-0.293804\pi\) |
−0.388879 | + | 0.921289i | \(0.627138\pi\) | |||||||
\(602\) | 7.17714 | − | 18.5210i | 0.292518 | − | 0.754859i | ||||
\(603\) | 32.9042 | − | 29.6469i | 1.33996 | − | 1.20731i | ||||
\(604\) | −2.26812 | − | 3.92850i | −0.0922885 | − | 0.159848i | ||||
\(605\) | −21.2362 | + | 0.925446i | −0.863375 | + | 0.0376247i | ||||
\(606\) | 14.2983 | − | 1.50522i | 0.580829 | − | 0.0611452i | ||||
\(607\) | −6.93826 | + | 12.0174i | −0.281615 | + | 0.487772i | −0.971783 | − | 0.235878i | \(-0.924203\pi\) |
0.690168 | + | 0.723650i | \(0.257537\pi\) | |||||||
\(608\) | −10.9360 | + | 6.31389i | −0.443512 | + | 0.256062i | ||||
\(609\) | 21.2368 | + | 21.3650i | 0.860557 | + | 0.865754i | ||||
\(610\) | 0.514854 | − | 0.327939i | 0.0208458 | − | 0.0132779i | ||||
\(611\) | 10.4504 | − | 6.03356i | 0.422779 | − | 0.244092i | ||||
\(612\) | −5.51973 | − | 25.9259i | −0.223122 | − | 1.04799i | ||||
\(613\) | 5.50993 | + | 3.18116i | 0.222544 | + | 0.128486i | 0.607128 | − | 0.794604i | \(-0.292322\pi\) |
−0.384584 | + | 0.923090i | \(0.625655\pi\) | |||||||
\(614\) | 11.9978 | 0.484193 | ||||||||
\(615\) | −12.9058 | − | 16.2220i | −0.520411 | − | 0.654133i | ||||
\(616\) | −5.91646 | − | 7.35387i | −0.238381 | − | 0.296296i | ||||
\(617\) | 16.6269 | + | 28.7986i | 0.669374 | + | 1.15939i | 0.978080 | + | 0.208232i | \(0.0667708\pi\) |
−0.308706 | + | 0.951158i | \(0.599896\pi\) | |||||||
\(618\) | −2.44806 | − | 3.36829i | −0.0984755 | − | 0.135493i | ||||
\(619\) | 2.04040 | − | 1.17802i | 0.0820106 | − | 0.0473488i | −0.458434 | − | 0.888728i | \(-0.651589\pi\) |
0.540444 | + | 0.841380i | \(0.318256\pi\) | |||||||
\(620\) | −8.81857 | + | 5.61703i | −0.354162 | + | 0.225585i | ||||
\(621\) | −7.52616 | + | 35.4948i | −0.302014 | + | 1.42436i | ||||
\(622\) | −26.9659 | −1.08123 | ||||||||
\(623\) | −3.46396 | + | 2.78688i | −0.138781 | + | 0.111654i | ||||
\(624\) | 2.08581 | − | 0.219579i | 0.0834994 | − | 0.00879018i | ||||
\(625\) | −16.0634 | − | 19.1564i | −0.642536 | − | 0.766256i | ||||
\(626\) | 29.9810 | 1.19828 | ||||||||
\(627\) | −2.90530 | − | 3.99740i | −0.116027 | − | 0.159641i | ||||
\(628\) | 19.9519 | 0.796168 | ||||||||
\(629\) | −3.56693 | −0.142223 | ||||||||
\(630\) | −16.4333 | − | 1.92107i | −0.654716 | − | 0.0765372i | ||||
\(631\) | 31.0399 | 1.23568 | 0.617839 | − | 0.786304i | \(-0.288008\pi\) | ||||
0.617839 | + | 0.786304i | \(0.288008\pi\) | |||||||
\(632\) | 33.5914 | 1.33620 | ||||||||
\(633\) | −21.9358 | + | 2.30924i | −0.871872 | + | 0.0917840i | ||||
\(634\) | 1.64088 | 0.0651675 | ||||||||
\(635\) | −39.5255 | + | 25.1759i | −1.56852 | + | 0.999077i | ||||
\(636\) | −2.72130 | − | 3.74423i | −0.107906 | − | 0.148468i | ||||
\(637\) | −13.6466 | − | 12.4454i | −0.540700 | − | 0.493105i | ||||
\(638\) | −7.48989 | −0.296528 | ||||||||
\(639\) | 5.46000 | − | 4.91950i | 0.215994 | − | 0.194612i | ||||
\(640\) | 6.32180 | + | 9.92504i | 0.249891 | + | 0.392322i | ||||
\(641\) | −8.66844 | + | 5.00472i | −0.342383 | + | 0.197675i | −0.661325 | − | 0.750099i | \(-0.730006\pi\) |
0.318942 | + | 0.947774i | \(0.396672\pi\) | |||||||
\(642\) | −11.6606 | + | 1.22754i | −0.460207 | + | 0.0484471i | ||||
\(643\) | −3.49908 | − | 6.06058i | −0.137990 | − | 0.239006i | 0.788746 | − | 0.614720i | \(-0.210731\pi\) |
−0.926736 | + | 0.375714i | \(0.877398\pi\) | |||||||
\(644\) | 19.4830 | + | 7.54992i | 0.767737 | + | 0.297508i | ||||
\(645\) | −29.0214 | − | 11.4290i | −1.14272 | − | 0.450017i | ||||
\(646\) | 17.0004 | 0.668870 | ||||||||
\(647\) | −5.28314 | − | 3.05022i | −0.207702 | − | 0.119917i | 0.392541 | − | 0.919734i | \(-0.371596\pi\) |
−0.600243 | + | 0.799818i | \(0.704929\pi\) | |||||||
\(648\) | −2.72845 | + | 26.1266i | −0.107184 | + | 1.02635i | ||||
\(649\) | −7.21917 | + | 4.16799i | −0.283377 | + | 0.163608i | ||||
\(650\) | 12.2516 | − | 1.06984i | 0.480546 | − | 0.0419627i | ||||
\(651\) | −4.95866 | + | 18.2856i | −0.194345 | + | 0.716668i | ||||
\(652\) | −4.34416 | + | 2.50810i | −0.170130 | + | 0.0982248i | ||||
\(653\) | 0.483882 | − | 0.838108i | 0.0189358 | − | 0.0327977i | −0.856402 | − | 0.516309i | \(-0.827306\pi\) |
0.875338 | + | 0.483511i | \(0.160639\pi\) | |||||||
\(654\) | −2.74227 | − | 3.77309i | −0.107231 | − | 0.147540i | ||||
\(655\) | −23.7681 | + | 1.03578i | −0.928697 | + | 0.0404714i | ||||
\(656\) | −1.22819 | − | 2.12729i | −0.0479528 | − | 0.0830567i | ||||
\(657\) | 20.6458 | − | 4.39557i | 0.805468 | − | 0.171488i | ||||
\(658\) | −11.1468 | + | 1.72919i | −0.434547 | + | 0.0674109i | ||||
\(659\) | −6.50034 | − | 3.75297i | −0.253217 | − | 0.146195i | 0.368019 | − | 0.929818i | \(-0.380036\pi\) |
−0.621237 | + | 0.783623i | \(0.713369\pi\) | |||||||
\(660\) | −4.18957 | + | 3.33311i | −0.163079 | + | 0.129741i | ||||
\(661\) | 17.7110i | 0.688880i | 0.938808 | + | 0.344440i | \(0.111931\pi\) | ||||
−0.938808 | + | 0.344440i | \(0.888069\pi\) | |||||||
\(662\) | 3.46720 | 0.134757 | ||||||||
\(663\) | 32.6184 | + | 14.5162i | 1.26680 | + | 0.563761i | ||||
\(664\) | −5.24019 | − | 3.02543i | −0.203359 | − | 0.117409i | ||||
\(665\) | −4.42461 | + | 13.0819i | −0.171579 | + | 0.507295i | ||||
\(666\) | 1.21450 | + | 0.394170i | 0.0470611 | + | 0.0152738i | ||||
\(667\) | 39.7529 | − | 22.9513i | 1.53924 | − | 0.888679i | ||||
\(668\) | 10.6233 | − | 6.13334i | 0.411026 | − | 0.237306i | ||||
\(669\) | 21.3957 | + | 29.4383i | 0.827204 | + | 1.13815i | ||||
\(670\) | 25.9561 | − | 16.5329i | 1.00277 | − | 0.638720i | ||||
\(671\) | −0.178960 | − | 0.309968i | −0.00690868 | − | 0.0119662i | ||||
\(672\) | 23.9260 | + | 6.48823i | 0.922966 | + | 0.250289i | ||||
\(673\) | −42.8848 | − | 24.7595i | −1.65309 | − | 0.954410i | −0.975792 | − | 0.218699i | \(-0.929819\pi\) |
−0.677295 | − | 0.735712i | \(-0.736848\pi\) | |||||||
\(674\) | −22.0985 | + | 12.7586i | −0.851203 | + | 0.491442i | ||||
\(675\) | −3.15763 | + | 25.7882i | −0.121537 | + | 0.992587i | ||||
\(676\) | −3.41463 | + | 5.91432i | −0.131332 | + | 0.227474i | ||||
\(677\) | − | 18.5696i | − | 0.713687i | −0.934164 | − | 0.356844i | \(-0.883853\pi\) | ||
0.934164 | − | 0.356844i | \(-0.116147\pi\) | |||||||
\(678\) | −1.18753 | + | 0.125014i | −0.0456067 | + | 0.00480112i | ||||
\(679\) | 14.4996 | + | 5.61880i | 0.556444 | + | 0.215630i | ||||
\(680\) | −2.21987 | − | 50.9394i | −0.0851281 | − | 1.95344i | ||||
\(681\) | 1.99743 | + | 18.9739i | 0.0765416 | + | 0.727082i | ||||
\(682\) | −2.35531 | − | 4.07952i | −0.0901895 | − | 0.156213i | ||||
\(683\) | −11.3039 | + | 19.5790i | −0.432532 | + | 0.749168i | −0.997091 | − | 0.0762251i | \(-0.975713\pi\) |
0.564558 | + | 0.825393i | \(0.309047\pi\) | |||||||
\(684\) | 7.53331 | + | 2.44495i | 0.288043 | + | 0.0934850i | ||||
\(685\) | −20.8262 | + | 39.9988i | −0.795729 | + | 1.52827i | ||||
\(686\) | 7.69110 | + | 15.4571i | 0.293648 | + | 0.590155i | ||||
\(687\) | −9.94582 | + | 7.22859i | −0.379457 | + | 0.275788i | ||||
\(688\) | −3.20084 | − | 1.84801i | −0.122031 | − | 0.0704545i | ||||
\(689\) | 6.23445 | 0.237514 | ||||||||
\(690\) | −9.23798 | + | 23.4578i | −0.351684 | + | 0.893021i | ||||
\(691\) | − | 35.5326i | − | 1.35172i | −0.737029 | − | 0.675861i | \(-0.763772\pi\) | ||
0.737029 | − | 0.675861i | \(-0.236228\pi\) | |||||||
\(692\) | − | 16.4805i | − | 0.626494i | ||||||
\(693\) | −1.54485 | + | 9.57740i | −0.0586840 | + | 0.363815i | ||||
\(694\) | −6.74770 | −0.256139 | ||||||||
\(695\) | −6.52361 | − | 3.39666i | −0.247455 | − | 0.128843i | ||||
\(696\) | 26.8823 | − | 19.5380i | 1.01897 | − | 0.740585i | ||||
\(697\) | − | 41.8146i | − | 1.58384i | ||||||
\(698\) | 22.0885 | + | 12.7528i | 0.836063 | + | 0.482701i | ||||
\(699\) | −24.6638 | + | 2.59642i | −0.932871 | + | 0.0982055i | ||||
\(700\) | 14.3680 | + | 4.17196i | 0.543059 | + | 0.157685i | ||||
\(701\) | − | 40.9221i | − | 1.54561i | −0.634645 | − | 0.772804i | \(-0.718854\pi\) | ||
0.634645 | − | 0.772804i | \(-0.281146\pi\) | |||||||
\(702\) | −9.50213 | − | 8.54718i | −0.358635 | − | 0.322593i | ||||
\(703\) | 0.532888 | − | 0.922990i | 0.0200983 | − | 0.0348112i | ||||
\(704\) | −6.30946 | + | 3.64277i | −0.237797 | + | 0.137292i | ||||
\(705\) | 2.61963 | + | 17.5183i | 0.0986611 | + | 0.659777i | ||||
\(706\) | −9.39121 | + | 5.42202i | −0.353443 | + | 0.204060i | ||||
\(707\) | −18.3555 | + | 14.7677i | −0.690331 | + | 0.555397i | ||||
\(708\) | 5.43209 | − | 12.2061i | 0.204151 | − | 0.458735i | ||||
\(709\) | 3.12206 | 0.117251 | 0.0586257 | − | 0.998280i | \(-0.481328\pi\) | ||||
0.0586257 | + | 0.998280i | \(0.481328\pi\) | |||||||
\(710\) | 4.30706 | − | 2.74340i | 0.161641 | − | 0.102958i | ||||
\(711\) | −23.1114 | − | 25.6506i | −0.866744 | − | 0.961973i | ||||
\(712\) | 2.45230 | + | 4.24750i | 0.0919036 | + | 0.159182i | ||||
\(713\) | 25.0018 | + | 14.4348i | 0.936324 | + | 0.540587i | ||||
\(714\) | −23.5279 | − | 23.6700i | −0.880511 | − | 0.885829i | ||||
\(715\) | −0.313947 | − | 7.20416i | −0.0117410 | − | 0.269420i | ||||
\(716\) | −22.3202 | − | 12.8866i | −0.834145 | − | 0.481594i | ||||
\(717\) | −1.13106 | − | 10.7441i | −0.0422402 | − | 0.401247i | ||||
\(718\) | 16.8608 | − | 9.73460i | 0.629240 | − | 0.363292i | ||||
\(719\) | 6.26983 | + | 10.8597i | 0.233825 | + | 0.404997i | 0.958931 | − | 0.283641i | \(-0.0915424\pi\) |
−0.725105 | + | 0.688638i | \(0.758209\pi\) | |||||||
\(720\) | −0.821989 | + | 2.96688i | −0.0306337 | + | 0.110569i | ||||
\(721\) | 6.36204 | + | 2.46538i | 0.236935 | + | 0.0918155i | ||||
\(722\) | 6.31623 | − | 10.9400i | 0.235066 | − | 0.407146i | ||||
\(723\) | 3.44560 | + | 32.7304i | 0.128143 | + | 1.21726i | ||||
\(724\) | 17.1082i | 0.635820i | ||||||||
\(725\) | 26.9271 | − | 18.8480i | 1.00005 | − | 0.699996i | ||||
\(726\) | 9.02399 | + | 12.4161i | 0.334912 | + | 0.460805i | ||||
\(727\) | 10.2656 | − | 17.7805i | 0.380730 | − | 0.659444i | −0.610437 | − | 0.792065i | \(-0.709006\pi\) |
0.991167 | + | 0.132621i | \(0.0423393\pi\) | |||||||
\(728\) | −15.8751 | + | 12.7721i | −0.588370 | + | 0.473365i | ||||
\(729\) | 21.8276 | − | 15.8920i | 0.808430 | − | 0.588592i | ||||
\(730\) | 14.6529 | − | 0.638555i | 0.542330 | − | 0.0236340i | ||||
\(731\) | −31.4583 | − | 54.4874i | −1.16353 | − | 2.01529i | ||||
\(732\) | 0.524093 | + | 0.233237i | 0.0193710 | + | 0.00862068i | ||||
\(733\) | 23.6163 | − | 40.9045i | 0.872286 | − | 1.51084i | 0.0126603 | − | 0.999920i | \(-0.495970\pi\) |
0.859626 | − | 0.510924i | \(-0.170697\pi\) | |||||||
\(734\) | −10.1634 | − | 17.6036i | −0.375140 | − | 0.649761i | ||||
\(735\) | 24.3378 | − | 11.9445i | 0.897714 | − | 0.440578i | ||||
\(736\) | 18.8874 | − | 32.7139i | 0.696199 | − | 1.20585i | ||||
\(737\) | −9.02218 | − | 15.6269i | −0.332336 | − | 0.575623i | ||||
\(738\) | −4.62080 | + | 14.2375i | −0.170094 | + | 0.524089i | ||||
\(739\) | 5.92336 | − | 10.2596i | 0.217894 | − | 0.377404i | −0.736270 | − | 0.676688i | \(-0.763414\pi\) |
0.954164 | + | 0.299284i | \(0.0967478\pi\) | |||||||
\(740\) | −1.02414 | − | 0.533239i | −0.0376480 | − | 0.0196022i | ||||
\(741\) | −8.62935 | + | 6.27178i | −0.317007 | + | 0.230400i | ||||
\(742\) | −5.43410 | − | 2.10579i | −0.199492 | − | 0.0773059i | ||||
\(743\) | 21.9727 | + | 38.0579i | 0.806101 | + | 1.39621i | 0.915545 | + | 0.402215i | \(0.131760\pi\) |
−0.109444 | + | 0.993993i | \(0.534907\pi\) | |||||||
\(744\) | 19.0953 | + | 8.49796i | 0.700067 | + | 0.311550i | ||||
\(745\) | −1.45849 | − | 33.4680i | −0.0534349 | − | 1.22617i | ||||
\(746\) | 2.49155 | + | 1.43850i | 0.0912223 | + | 0.0526672i | ||||
\(747\) | 1.29509 | + | 6.08297i | 0.0473849 | + | 0.222564i | ||||
\(748\) | −10.7993 | −0.394860 | ||||||||
\(749\) | 14.9694 | − | 12.0434i | 0.546968 | − | 0.440056i | ||||
\(750\) | −5.12850 | + | 17.3084i | −0.187266 | + | 0.632015i | ||||
\(751\) | −5.98186 | + | 10.3609i | −0.218281 | + | 0.378074i | −0.954283 | − | 0.298906i | \(-0.903378\pi\) |
0.736001 | + | 0.676980i | \(0.236712\pi\) | |||||||
\(752\) | 2.09895i | 0.0765408i | ||||||||
\(753\) | −8.84895 | + | 19.8840i | −0.322474 | + | 0.724612i | ||||
\(754\) | 16.1687i | 0.588830i | ||||||||
\(755\) | −4.14192 | + | 7.95495i | −0.150740 | + | 0.289510i | ||||
\(756\) | −7.02168 | − | 13.8725i | −0.255376 | − | 0.504540i | ||||
\(757\) | 12.5653i | 0.456693i | 0.973580 | + | 0.228346i | \(0.0733318\pi\) | ||||
−0.973580 | + | 0.228346i | \(0.926668\pi\) | |||||||
\(758\) | −10.0455 | −0.364869 | ||||||||
\(759\) | 13.5055 | + | 6.01035i | 0.490219 | + | 0.218162i | ||||
\(760\) | 13.5129 | + | 7.03578i | 0.490164 | + | 0.255214i | ||||
\(761\) | 21.8126 | − | 37.7805i | 0.790705 | − | 1.36954i | −0.134826 | − | 0.990869i | \(-0.543047\pi\) |
0.925531 | − | 0.378672i | \(-0.123619\pi\) | |||||||
\(762\) | 30.9157 | + | 13.7584i | 1.11996 | + | 0.498414i | ||||
\(763\) | 7.12663 | + | 2.76167i | 0.258001 | + | 0.0999791i | ||||
\(764\) | 5.60732i | 0.202866i | ||||||||
\(765\) | −37.3703 | + | 36.7421i | −1.35113 | + | 1.32841i | ||||
\(766\) | 10.5153 | + | 6.07099i | 0.379932 | + | 0.219354i | ||||
\(767\) | 8.99761 | + | 15.5843i | 0.324885 | + | 0.562717i | ||||
\(768\) | 11.8503 | − | 26.6282i | 0.427612 | − | 0.960862i | ||||
\(769\) | 36.5174 | − | 21.0833i | 1.31685 | − | 0.760284i | 0.333630 | − | 0.942704i | \(-0.391726\pi\) |
0.983221 | + | 0.182420i | \(0.0583930\pi\) | |||||||
\(770\) | −2.15968 | + | 6.38536i | −0.0778293 | + | 0.230112i | ||||
\(771\) | −15.8576 | + | 11.5253i | −0.571099 | + | 0.415073i | ||||
\(772\) | 27.3278i | 0.983548i | ||||||||
\(773\) | 44.6003 | + | 25.7500i | 1.60416 | + | 0.926163i | 0.990643 | + | 0.136482i | \(0.0435796\pi\) |
0.613518 | + | 0.789681i | \(0.289754\pi\) | |||||||
\(774\) | 4.69002 | + | 22.0288i | 0.168579 | + | 0.791808i | ||||
\(775\) | 18.7335 | + | 8.73934i | 0.672929 | + | 0.313927i | ||||
\(776\) | 8.57736 | − | 14.8564i | 0.307909 | − | 0.533314i | ||||
\(777\) | −2.02260 | + | 0.535433i | −0.0725605 | + | 0.0192086i | ||||
\(778\) | 6.43861 | − | 3.71733i | 0.230835 | − | 0.133273i | ||||
\(779\) | 10.8201 | + | 6.24698i | 0.387670 | + | 0.223821i | ||||
\(780\) | 7.19532 | + | 9.04419i | 0.257634 | + | 0.323834i | ||||
\(781\) | −1.49711 | − | 2.59307i | −0.0535708 | − | 0.0927873i | ||||
\(782\) | −44.0417 | + | 25.4275i | −1.57493 | + | 0.909286i | ||||
\(783\) | −33.4147 | − | 7.08509i | −1.19414 | − | 0.253201i | ||||
\(784\) | 3.06157 | − | 0.973302i | 0.109342 | − | 0.0347608i | ||||
\(785\) | −21.1922 | − | 33.2711i | −0.756382 | − | 1.18750i | ||||
\(786\) | 10.0999 | + | 13.8964i | 0.360251 | + | 0.495669i | ||||
\(787\) | −40.6173 | −1.44785 | −0.723925 | − | 0.689878i | \(-0.757664\pi\) | ||||
−0.723925 | + | 0.689878i | \(0.757664\pi\) | |||||||
\(788\) | 3.56620 | 0.127041 | ||||||||
\(789\) | 20.4430 | − | 2.15208i | 0.727789 | − | 0.0766161i | ||||
\(790\) | −12.8883 | − | 20.2342i | −0.458544 | − | 0.719900i | ||||
\(791\) | 1.52449 | − | 1.22651i | 0.0542047 | − | 0.0436097i | ||||
\(792\) | 10.1795 | + | 3.30377i | 0.361712 | + | 0.117394i | ||||
\(793\) | −0.669141 | + | 0.386329i | −0.0237619 | + | 0.0137189i | ||||
\(794\) | 6.60513 | + | 11.4404i | 0.234407 | + | 0.406006i | ||||
\(795\) | −3.35329 | + | 8.51493i | −0.118929 | + | 0.301993i | ||||
\(796\) | −14.9267 | − | 8.61795i | −0.529064 | − | 0.305455i | ||||
\(797\) | 5.22831 | − | 3.01857i | 0.185196 | − | 0.106923i | −0.404536 | − | 0.914522i | \(-0.632567\pi\) |
0.589732 | + | 0.807599i | \(0.299233\pi\) | |||||||
\(798\) | 9.63995 | − | 2.55193i | 0.341250 | − | 0.0903374i | ||||
\(799\) | −17.8650 | + | 30.9431i | −0.632019 | + | 1.09469i | ||||
\(800\) | 11.4351 | − | 24.5122i | 0.404293 | − | 0.866636i | ||||
\(801\) | 1.55620 | − | 4.79492i | 0.0549857 | − | 0.169420i | ||||
\(802\) | 7.49206 | + | 4.32555i | 0.264554 | + | 0.152740i | ||||
\(803\) | − | 8.59986i | − | 0.303482i | ||||||
\(804\) | 26.4219 | + | 11.7585i | 0.931827 | + | 0.414691i | ||||
\(805\) | −8.10413 | − | 40.5084i | −0.285633 | − | 1.42773i | ||||
\(806\) | −8.80662 | + | 5.08450i | −0.310200 | + | 0.179094i | ||||
\(807\) | 23.7242 | + | 32.6422i | 0.835132 | + | 1.14906i | ||||
\(808\) | 12.9947 | + | 22.5075i | 0.457153 | + | 0.791812i | ||||
\(809\) | 27.0425 | + | 15.6130i | 0.950763 | + | 0.548923i | 0.893318 | − | 0.449426i | \(-0.148371\pi\) |
0.0574449 | + | 0.998349i | \(0.481705\pi\) | |||||||
\(810\) | 16.7845 | − | 8.38065i | 0.589747 | − | 0.294466i | ||||
\(811\) | 29.4580i | 1.03441i | 0.855862 | + | 0.517205i | \(0.173028\pi\) | ||||
−0.855862 | + | 0.517205i | \(0.826972\pi\) | |||||||
\(812\) | −7.10746 | + | 18.3412i | −0.249423 | + | 0.643649i | ||||
\(813\) | 2.49988 | + | 23.7468i | 0.0876746 | + | 0.832837i | ||||
\(814\) | 0.260105 | − | 0.450516i | 0.00911669 | − | 0.0157906i | ||||
\(815\) | 8.79663 | + | 4.58015i | 0.308133 | + | 0.160436i | ||||
\(816\) | −5.02347 | + | 3.65104i | −0.175857 | + | 0.127812i | ||||
\(817\) | 18.7991 | 0.657698 | ||||||||
\(818\) | 20.9948i | 0.734065i | ||||||||
\(819\) | 20.6751 | + | 3.33493i | 0.722447 | + | 0.116532i | ||||
\(820\) | 6.25109 | − | 12.0058i | 0.218297 | − | 0.419261i | ||||
\(821\) | − | 2.00500i | − | 0.0699750i | −0.999388 | − | 0.0349875i | \(-0.988861\pi\) | ||
0.999388 | − | 0.0349875i | \(-0.0111391\pi\) | |||||||
\(822\) | 32.3843 | − | 3.40917i | 1.12953 | − | 0.118908i | ||||
\(823\) | 12.3720i | 0.431260i | 0.976475 | + | 0.215630i | \(0.0691805\pi\) | ||||
−0.976475 | + | 0.215630i | \(0.930819\pi\) | |||||||
\(824\) | 3.76352 | − | 6.51860i | 0.131108 | − | 0.227086i | ||||
\(825\) | 10.0082 | + | 3.44608i | 0.348441 | + | 0.119977i | ||||
\(826\) | −2.57867 | − | 16.6227i | −0.0897236 | − | 0.578379i | ||||
\(827\) | 1.40242 | 0.0487669 | 0.0243834 | − | 0.999703i | \(-0.492238\pi\) | ||||
0.0243834 | + | 0.999703i | \(0.492238\pi\) | |||||||
\(828\) | −23.1730 | + | 4.93362i | −0.805316 | + | 0.171455i | ||||
\(829\) | −21.8022 | − | 12.5875i | −0.757221 | − | 0.437181i | 0.0710764 | − | 0.997471i | \(-0.477357\pi\) |
−0.828297 | + | 0.560289i | \(0.810690\pi\) | |||||||
\(830\) | 0.188141 | + | 4.31727i | 0.00653047 | + | 0.149855i | ||||
\(831\) | −0.203343 | − | 1.93159i | −0.00705390 | − | 0.0670062i | ||||
\(832\) | 7.86379 | + | 13.6205i | 0.272628 | + | 0.472205i | ||||
\(833\) | 53.4185 | + | 11.7097i | 1.85084 | + | 0.405717i | ||||
\(834\) | 0.556019 | + | 5.28172i | 0.0192534 | + | 0.182891i | ||||
\(835\) | −21.5114 | − | 11.2004i | −0.744433 | − | 0.387605i | ||||
\(836\) | 1.61338 | − | 2.79445i | 0.0557998 | − | 0.0966482i | ||||
\(837\) | −6.64872 | − | 20.4280i | −0.229813 | − | 0.706094i | ||||
\(838\) | 3.17010 | + | 5.49078i | 0.109509 | + | 0.189676i | ||||
\(839\) | −17.9747 | + | 31.1331i | −0.620555 | + | 1.07483i | 0.368828 | + | 0.929498i | \(0.379759\pi\) |
−0.989383 | + | 0.145335i | \(0.953574\pi\) | |||||||
\(840\) | −8.90530 | − | 28.5516i | −0.307262 | − | 0.985125i | ||||
\(841\) | 7.10629 | + | 12.3084i | 0.245044 | + | 0.424429i | ||||
\(842\) | 15.5255 | − | 26.8909i | 0.535043 | − | 0.926721i | ||||
\(843\) | −12.3346 | + | 8.96477i | −0.424827 | + | 0.308763i | ||||
\(844\) | −7.20130 | − | 12.4730i | −0.247879 | − | 0.429339i | ||||
\(845\) | 13.4894 | − | 0.587851i | 0.464050 | − | 0.0202227i | ||||
\(846\) | 9.50230 | − | 8.56163i | 0.326696 | − | 0.294355i | ||||
\(847\) | −23.4516 | − | 9.08782i | −0.805807 | − | 0.312261i | ||||
\(848\) | −0.542209 | + | 0.939133i | −0.0186195 | + | 0.0322500i | ||||
\(849\) | 8.19546 | − | 18.4156i | 0.281268 | − | 0.632020i | ||||
\(850\) | −29.8322 | + | 20.8814i | −1.02324 | + | 0.716227i | ||||
\(851\) | 3.18817i | 0.109289i | ||||||||
\(852\) | 4.38435 | + | 1.95116i | 0.150205 | + | 0.0668458i | ||||
\(853\) | 13.1411 | − | 22.7610i | 0.449942 | − | 0.779323i | −0.548440 | − | 0.836190i | \(-0.684778\pi\) |
0.998382 | + | 0.0568674i | \(0.0181112\pi\) | |||||||
\(854\) | 0.713728 | − | 0.110720i | 0.0244233 | − | 0.00378876i | ||||
\(855\) | −3.92449 | − | 15.1592i | −0.134215 | − | 0.518435i | ||||
\(856\) | −10.5975 | − | 18.3554i | −0.362215 | − | 0.627375i | ||||
\(857\) | 9.31680 | − | 5.37906i | 0.318256 | − | 0.183745i | −0.332359 | − | 0.943153i | \(-0.607845\pi\) |
0.650615 | + | 0.759408i | \(0.274511\pi\) | |||||||
\(858\) | −4.21203 | + | 3.06129i | −0.143796 | + | 0.104511i | ||||
\(859\) | −46.3383 | − | 26.7534i | −1.58104 | − | 0.912814i | −0.994708 | − | 0.102745i | \(-0.967238\pi\) |
−0.586333 | − | 0.810070i | \(-0.699429\pi\) | |||||||
\(860\) | −0.886708 | − | 20.3473i | −0.0302365 | − | 0.693837i | ||||
\(861\) | −6.27681 | − | 23.7107i | −0.213913 | − | 0.808059i | ||||
\(862\) | 22.3011 | + | 12.8756i | 0.759580 | + | 0.438544i | ||||
\(863\) | 11.7535 | + | 20.3577i | 0.400094 | + | 0.692983i | 0.993737 | − | 0.111746i | \(-0.0356443\pi\) |
−0.593643 | + | 0.804728i | \(0.702311\pi\) | |||||||
\(864\) | −26.7293 | + | 8.69961i | −0.909349 | + | 0.295967i | ||||
\(865\) | −27.4823 | + | 17.5050i | −0.934427 | + | 0.595188i | ||||
\(866\) | −6.27493 | −0.213231 | ||||||||
\(867\) | −75.8496 | + | 7.98486i | −2.57599 | + | 0.271180i | ||||
\(868\) | −12.2249 | + | 1.89645i | −0.414941 | + | 0.0643696i | ||||
\(869\) | −12.1820 | + | 7.03328i | −0.413246 | + | 0.238588i | ||||
\(870\) | −22.0830 | − | 8.69659i | −0.748685 | − | 0.294842i | ||||
\(871\) | −33.7344 | + | 19.4765i | −1.14305 | + | 0.659937i | ||||
\(872\) | 4.21581 | − | 7.30200i | 0.142765 | − | 0.247277i | ||||
\(873\) | −17.2458 | + | 3.67170i | −0.583681 | + | 0.124268i | ||||
\(874\) | − | 15.1952i | − | 0.513985i | ||||||
\(875\) | −8.30414 | − | 28.3909i | −0.280731 | − | 0.959786i | ||||
\(876\) | 8.10343 | + | 11.1495i | 0.273789 | + | 0.376707i | ||||
\(877\) | 3.16339 | + | 1.82639i | 0.106820 | + | 0.0616727i | 0.552458 | − | 0.833541i | \(-0.313690\pi\) |
−0.445638 | + | 0.895213i | \(0.647023\pi\) | |||||||
\(878\) | − | 15.8301i | − | 0.534239i | ||||||
\(879\) | 3.44539 | + | 32.7284i | 0.116210 | + | 1.10390i | ||||
\(880\) | 1.11251 | + | 0.579252i | 0.0375027 | + | 0.0195266i | ||||
\(881\) | 19.1800 | 0.646192 | 0.323096 | − | 0.946366i | \(-0.395276\pi\) | ||||
0.323096 | + | 0.946366i | \(0.395276\pi\) | |||||||
\(882\) | −16.8945 | − | 9.89016i | −0.568867 | − | 0.333019i | ||||
\(883\) | 2.92260i | 0.0983533i | 0.998790 | + | 0.0491767i | \(0.0156597\pi\) | ||||
−0.998790 | + | 0.0491767i | \(0.984340\pi\) | |||||||
\(884\) | 23.3128i | 0.784094i | ||||||||
\(885\) | −26.1243 | + | 3.90655i | −0.878160 | + | 0.131317i | ||||
\(886\) | 22.3199 | 0.749852 | ||||||||
\(887\) | −45.1646 | − | 26.0758i | −1.51648 | − | 0.875540i | −0.999813 | − | 0.0193537i | \(-0.993839\pi\) |
−0.516667 | − | 0.856186i | \(-0.672828\pi\) | |||||||
\(888\) | 0.241650 | + | 2.29547i | 0.00810923 | + | 0.0770310i | ||||
\(889\) | −54.7930 | + | 8.50001i | −1.83770 | + | 0.285081i | ||||
\(890\) | 1.61764 | − | 3.10684i | 0.0542234 | − | 0.104141i | ||||
\(891\) | −4.48083 | − | 10.0461i | −0.150114 | − | 0.336558i | ||||
\(892\) | −11.8815 | + | 20.5793i | −0.397822 | + | 0.689047i | ||||
\(893\) | −5.33797 | − | 9.24563i | −0.178628 | − | 0.309393i | ||||
\(894\) | −19.5676 | + | 14.2217i | −0.654439 | + | 0.475644i | ||||
\(895\) | 2.21851 | + | 50.9081i | 0.0741565 | + | 1.70167i | ||||
\(896\) | 2.13439 | + | 13.7588i | 0.0713051 | + | 0.459649i | ||||
\(897\) | 12.9748 | − | 29.1549i | 0.433215 | − | 0.973452i | ||||
\(898\) | − | 0.902111i | − | 0.0301038i | ||||||
\(899\) | −13.5889 | + | 23.5366i | −0.453214 | + | 0.784989i | ||||
\(900\) | −16.2225 | + | 4.96271i | −0.540752 | + | 0.165424i | ||||
\(901\) | −15.9867 | + | 9.22993i | −0.532594 | + | 0.307494i | ||||
\(902\) | 5.28134 | + | 3.04918i | 0.175849 | + | 0.101527i | ||||
\(903\) | −26.0174 | − | 26.1745i | −0.865803 | − | 0.871033i | ||||
\(904\) | −1.07926 | − | 1.86933i | −0.0358956 | − | 0.0621730i | ||||
\(905\) | 28.5290 | − | 18.1717i | 0.948337 | − | 0.604048i | ||||
\(906\) | 6.44059 | − | 0.678015i | 0.213974 | − | 0.0225256i | ||||
\(907\) | −35.5967 | + | 20.5518i | −1.18197 | + | 0.682410i | −0.956469 | − | 0.291833i | \(-0.905735\pi\) |
−0.225500 | + | 0.974243i | \(0.572402\pi\) | |||||||
\(908\) | −10.7888 | + | 6.22893i | −0.358040 | + | 0.206714i | ||||
\(909\) | 8.24633 | − | 25.4083i | 0.273514 | − | 0.842741i | ||||
\(910\) | 13.7843 | + | 4.66218i | 0.456946 | + | 0.154550i | ||||
\(911\) | 30.4358 | + | 17.5721i | 1.00838 | + | 0.582190i | 0.910718 | − | 0.413029i | \(-0.135529\pi\) |
0.0976655 | + | 0.995219i | \(0.468862\pi\) | |||||||
\(912\) | −0.194264 | − | 1.84535i | −0.00643272 | − | 0.0611055i | ||||
\(913\) | 2.53382 | 0.0838572 | ||||||||
\(914\) | − | 18.1966i | − | 0.601891i | ||||||
\(915\) | −0.167735 | − | 1.12170i | −0.00554515 | − | 0.0370821i | ||||
\(916\) | −6.95279 | − | 4.01419i | −0.229727 | − | 0.132633i | ||||
\(917\) | −26.2476 | − | 10.1713i | −0.866774 | − | 0.335887i | ||||
\(918\) | 37.0197 | + | 7.84949i | 1.22183 | + | 0.259072i | ||||
\(919\) | −21.9116 | − | 37.9519i | −0.722795 | − | 1.25192i | −0.959875 | − | 0.280428i | \(-0.909524\pi\) |
0.237080 | − | 0.971490i | \(-0.423810\pi\) | |||||||
\(920\) | −45.5304 | + | 1.98415i | −1.50109 | + | 0.0654156i | ||||
\(921\) | 9.06356 | − | 20.3662i | 0.298655 | − | 0.671089i | ||||
\(922\) | 1.29140 | − | 2.23677i | 0.0425299 | − | 0.0736640i | ||||
\(923\) | −5.59776 | + | 3.23187i | −0.184252 | + | 0.106378i | ||||
\(924\) | −6.12365 | + | 1.62108i | −0.201453 | + | 0.0533297i | ||||
\(925\) | 0.198591 | + | 2.27420i | 0.00652962 | + | 0.0747754i | ||||
\(926\) | 15.8875 | − | 9.17268i | 0.522097 | − | 0.301433i | ||||
\(927\) | −7.56699 | + | 1.61104i | −0.248533 | + | 0.0529136i | ||||
\(928\) | 30.7968 | + | 17.7805i | 1.01095 | + | 0.583674i | ||||
\(929\) | −18.9475 | −0.621648 | −0.310824 | − | 0.950468i | \(-0.600605\pi\) | ||||
−0.310824 | + | 0.950468i | \(0.600605\pi\) | |||||||
\(930\) | −2.20757 | − | 14.7627i | −0.0723892 | − | 0.484089i | ||||
\(931\) | −11.0106 | + | 12.0734i | −0.360858 | + | 0.395688i | ||||
\(932\) | −8.09686 | − | 14.0242i | −0.265222 | − | 0.459377i | ||||
\(933\) | −20.3709 | + | 45.7743i | −0.666913 | + | 1.49858i | ||||
\(934\) | −12.5703 | + | 7.25748i | −0.411314 | + | 0.237472i | ||||
\(935\) | 11.4706 | + | 18.0085i | 0.375128 | + | 0.588940i | ||||
\(936\) | 7.13197 | − | 21.9748i | 0.233116 | − | 0.718269i | ||||
\(937\) | 7.93569 | 0.259248 | 0.129624 | − | 0.991563i | \(-0.458623\pi\) | ||||
0.129624 | + | 0.991563i | \(0.458623\pi\) | |||||||
\(938\) | 35.9822 | − | 5.58189i | 1.17486 | − | 0.182255i | ||||
\(939\) | 22.6486 | − | 50.8924i | 0.739110 | − | 1.66081i | ||||
\(940\) | −9.75527 | + | 6.21366i | −0.318182 | + | 0.202667i | ||||
\(941\) | −33.1396 | −1.08032 | −0.540160 | − | 0.841562i | \(-0.681636\pi\) | ||||
−0.540160 | + | 0.841562i | \(0.681636\pi\) | |||||||
\(942\) | −11.5813 | + | 26.0237i | −0.377340 | + | 0.847898i | ||||
\(943\) | −37.3745 | −1.21708 | ||||||||
\(944\) | −3.13008 | −0.101875 | ||||||||
\(945\) | −15.6752 | + | 26.4440i | −0.509915 | + | 0.860225i | ||||
\(946\) | 9.17594 | 0.298336 | ||||||||
\(947\) | 51.4911 | 1.67324 | 0.836619 | − | 0.547786i | \(-0.184529\pi\) | ||||
0.836619 | + | 0.547786i | \(0.184529\pi\) | |||||||
\(948\) | 9.16639 | − | 20.5973i | 0.297711 | − | 0.668968i | ||||
\(949\) | −18.5648 | −0.602641 | ||||||||
\(950\) | −0.946505 | − | 10.8391i | −0.0307087 | − | 0.351667i | ||||
\(951\) | 1.23957 | − | 2.78537i | 0.0401959 | − | 0.0903218i | ||||
\(952\) | 21.7990 | − | 56.2535i | 0.706509 | − | 1.82319i | ||||
\(953\) | 44.9621 | 1.45647 | 0.728233 | − | 0.685329i | \(-0.240342\pi\) | ||||
0.728233 | + | 0.685329i | \(0.240342\pi\) | |||||||
\(954\) | 6.46329 | − | 1.37606i | 0.209257 | − | 0.0445516i | ||||
\(955\) | 9.35058 | − | 5.95590i | 0.302578 | − | 0.192728i | ||||
\(956\) | 6.10926 | − | 3.52718i | 0.197587 | − | 0.114077i | ||||
\(957\) | −5.65811 | + | 12.7140i | −0.182901 | + | 0.410986i | ||||
\(958\) | −4.35583 | − | 7.54453i | −0.140731 | − | 0.243753i | ||||
\(959\) | −41.5735 | + | 33.4474i | −1.34248 | + | 1.08007i | ||||
\(960\) | −22.8323 | + | 3.41428i | −0.736910 | + | 0.110195i | ||||
\(961\) | 13.9071 | 0.448617 | ||||||||
\(962\) | −0.972546 | − | 0.561500i | −0.0313562 | − | 0.0181035i | ||||
\(963\) | −6.72507 | + | 20.7211i | −0.216712 | + | 0.667727i | ||||
\(964\) | −18.6109 | + | 10.7450i | −0.599417 | + | 0.346074i | ||||
\(965\) | 45.5709 | − | 29.0266i | 1.46698 | − | 0.934399i | ||||
\(966\) | −21.1566 | + | 21.0296i | −0.680704 | + | 0.676617i | ||||
\(967\) | 22.8364 | − | 13.1846i | 0.734368 | − | 0.423987i | −0.0856501 | − | 0.996325i | \(-0.527297\pi\) |
0.820018 | + | 0.572338i | \(0.193963\pi\) | |||||||
\(968\) | −13.8730 | + | 24.0287i | −0.445894 | + | 0.772312i | ||||
\(969\) | 12.8426 | − | 28.8579i | 0.412565 | − | 0.927051i | ||||
\(970\) | −12.2399 | + | 0.533397i | −0.392998 | + | 0.0171263i | ||||
\(971\) | −10.4676 | − | 18.1304i | −0.335920 | − | 0.581831i | 0.647741 | − | 0.761861i | \(-0.275714\pi\) |
−0.983661 | + | 0.180030i | \(0.942381\pi\) | |||||||
\(972\) | 15.2755 | + | 8.80240i | 0.489962 | + | 0.282337i | ||||
\(973\) | −5.45511 | − | 6.78044i | −0.174883 | − | 0.217371i | ||||
\(974\) | −7.45523 | − | 4.30428i | −0.238881 | − | 0.137918i | ||||
\(975\) | 7.43918 | − | 21.6051i | 0.238245 | − | 0.691917i | ||||
\(976\) | − | 0.134396i | − | 0.00430190i | ||||||
\(977\) | −31.5788 | −1.01029 | −0.505147 | − | 0.863033i | \(-0.668562\pi\) | ||||
−0.505147 | + | 0.863033i | \(0.668562\pi\) | |||||||
\(978\) | −0.749753 | − | 7.12203i | −0.0239745 | − | 0.227738i | ||||
\(979\) | −1.77866 | − | 1.02691i | −0.0568462 | − | 0.0328202i | ||||
\(980\) | 13.5870 | + | 11.3479i | 0.434021 | + | 0.362496i | ||||
\(981\) | −8.47639 | + | 1.80466i | −0.270630 | + | 0.0576183i | ||||
\(982\) | −2.15543 | + | 1.24444i | −0.0687826 | + | 0.0397117i | ||||
\(983\) | 23.6250 | − | 13.6399i | 0.753522 | − | 0.435046i | −0.0734431 | − | 0.997299i | \(-0.523399\pi\) |
0.826965 | + | 0.562253i | \(0.190065\pi\) | |||||||
\(984\) | −26.9095 | + | 2.83283i | −0.857843 | + | 0.0903072i | ||||
\(985\) | −3.78789 | − | 5.94688i | −0.120692 | − | 0.189483i | ||||
\(986\) | −23.9373 | − | 41.4607i | −0.762320 | − | 1.32038i | ||||
\(987\) | −5.48536 | + | 20.2278i | −0.174601 | + | 0.643859i | ||||
\(988\) | −6.03249 | − | 3.48286i | −0.191919 | − | 0.110805i | ||||
\(989\) | −48.7016 | + | 28.1179i | −1.54862 | + | 0.894097i | ||||
\(990\) | −1.91556 | − | 7.39929i | −0.0608806 | − | 0.235165i | ||||
\(991\) | 6.26637 | − | 10.8537i | 0.199058 | − | 0.344778i | −0.749165 | − | 0.662383i | \(-0.769545\pi\) |
0.948223 | + | 0.317605i | \(0.102878\pi\) | |||||||
\(992\) | 22.3654i | 0.710103i | ||||||||
\(993\) | 2.61924 | − | 5.88555i | 0.0831191 | − | 0.186772i | ||||
\(994\) | 5.97075 | − | 0.926239i | 0.189381 | − | 0.0293785i | ||||
\(995\) | 1.48363 | + | 34.0450i | 0.0470344 | + | 1.07930i | ||||
\(996\) | −3.28504 | + | 2.38756i | −0.104090 | + | 0.0756526i | ||||
\(997\) | −20.8336 | − | 36.0849i | −0.659808 | − | 1.14282i | −0.980665 | − | 0.195693i | \(-0.937304\pi\) |
0.320857 | − | 0.947128i | \(-0.396029\pi\) | |||||||
\(998\) | −5.52525 | + | 9.57002i | −0.174899 | + | 0.302934i | ||||
\(999\) | 1.58658 | − | 1.76384i | 0.0501971 | − | 0.0558054i |
(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 | 315.2.bq.a.164.16 | yes | 88 | |
3.2 | odd | 2 | 945.2.bq.a.899.29 | 88 | |||
5.4 | even | 2 | inner | 315.2.bq.a.164.29 | yes | 88 | |
7.5 | odd | 6 | 315.2.u.a.299.29 | yes | 88 | ||
9.4 | even | 3 | 945.2.u.a.584.29 | 88 | |||
9.5 | odd | 6 | 315.2.u.a.59.16 | ✓ | 88 | ||
15.14 | odd | 2 | 945.2.bq.a.899.16 | 88 | |||
21.5 | even | 6 | 945.2.u.a.89.16 | 88 | |||
35.19 | odd | 6 | 315.2.u.a.299.16 | yes | 88 | ||
45.4 | even | 6 | 945.2.u.a.584.16 | 88 | |||
45.14 | odd | 6 | 315.2.u.a.59.29 | yes | 88 | ||
63.5 | even | 6 | inner | 315.2.bq.a.194.29 | yes | 88 | |
63.40 | odd | 6 | 945.2.bq.a.719.16 | 88 | |||
105.89 | even | 6 | 945.2.u.a.89.29 | 88 | |||
315.194 | even | 6 | inner | 315.2.bq.a.194.16 | yes | 88 | |
315.229 | odd | 6 | 945.2.bq.a.719.29 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.u.a.59.16 | ✓ | 88 | 9.5 | odd | 6 | ||
315.2.u.a.59.29 | yes | 88 | 45.14 | odd | 6 | ||
315.2.u.a.299.16 | yes | 88 | 35.19 | odd | 6 | ||
315.2.u.a.299.29 | yes | 88 | 7.5 | odd | 6 | ||
315.2.bq.a.164.16 | yes | 88 | 1.1 | even | 1 | trivial | |
315.2.bq.a.164.29 | yes | 88 | 5.4 | even | 2 | inner | |
315.2.bq.a.194.16 | yes | 88 | 315.194 | even | 6 | inner | |
315.2.bq.a.194.29 | yes | 88 | 63.5 | even | 6 | inner | |
945.2.u.a.89.16 | 88 | 21.5 | even | 6 | |||
945.2.u.a.89.29 | 88 | 105.89 | even | 6 | |||
945.2.u.a.584.16 | 88 | 45.4 | even | 6 | |||
945.2.u.a.584.29 | 88 | 9.4 | even | 3 | |||
945.2.bq.a.719.16 | 88 | 63.40 | odd | 6 | |||
945.2.bq.a.719.29 | 88 | 315.229 | odd | 6 | |||
945.2.bq.a.899.16 | 88 | 15.14 | odd | 2 | |||
945.2.bq.a.899.29 | 88 | 3.2 | odd | 2 |