Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(197,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.197");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.g (of order \(2\), degree \(1\), 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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 197.11 | ||
Character | \(\chi\) | \(=\) | 231.197 |
Dual form | 231.2.g.a.197.12 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.628865 | −0.444675 | −0.222337 | − | 0.974970i | \(-0.571369\pi\) | ||||
−0.222337 | + | 0.974970i | \(0.571369\pi\) | |||||||
\(3\) | −1.53987 | − | 0.792976i | −0.889042 | − | 0.457825i | ||||
\(4\) | −1.60453 | −0.802264 | ||||||||
\(5\) | 1.39971i | 0.625967i | 0.949759 | + | 0.312984i | \(0.101328\pi\) | ||||
−0.949759 | + | 0.312984i | \(0.898672\pi\) | |||||||
\(6\) | 0.968369 | + | 0.498675i | 0.395335 | + | 0.203583i | ||||
\(7\) | − | 1.00000i | − | 0.377964i | ||||||
\(8\) | 2.26676 | 0.801422 | ||||||||
\(9\) | 1.74238 | + | 2.44216i | 0.580792 | + | 0.814052i | ||||
\(10\) | − | 0.880226i | − | 0.278352i | ||||||
\(11\) | 1.97997 | + | 2.66078i | 0.596982 | + | 0.802254i | ||||
\(12\) | 2.47076 | + | 1.27235i | 0.713247 | + | 0.367297i | ||||
\(13\) | − | 5.12056i | − | 1.42019i | −0.704107 | − | 0.710094i | \(-0.748653\pi\) | ||
0.704107 | − | 0.710094i | \(-0.251347\pi\) | |||||||
\(14\) | 0.628865i | 0.168071i | ||||||||
\(15\) | 1.10993 | − | 2.15536i | 0.286583 | − | 0.556511i | ||||
\(16\) | 1.78357 | 0.445892 | ||||||||
\(17\) | 7.86626 | 1.90785 | 0.953924 | − | 0.300048i | \(-0.0970027\pi\) | ||||
0.953924 | + | 0.300048i | \(0.0970027\pi\) | |||||||
\(18\) | −1.09572 | − | 1.53579i | −0.258264 | − | 0.361988i | ||||
\(19\) | 5.38810i | 1.23611i | 0.786133 | + | 0.618057i | \(0.212080\pi\) | ||||
−0.786133 | + | 0.618057i | \(0.787920\pi\) | |||||||
\(20\) | − | 2.24587i | − | 0.502191i | ||||||
\(21\) | −0.792976 | + | 1.53987i | −0.173042 | + | 0.336026i | ||||
\(22\) | −1.24513 | − | 1.67327i | −0.265463 | − | 0.356742i | ||||
\(23\) | 2.26496i | 0.472277i | 0.971719 | + | 0.236138i | \(0.0758818\pi\) | ||||
−0.971719 | + | 0.236138i | \(0.924118\pi\) | |||||||
\(24\) | −3.49051 | − | 1.79749i | −0.712498 | − | 0.366911i | ||||
\(25\) | 3.04083 | 0.608165 | ||||||||
\(26\) | 3.22014i | 0.631522i | ||||||||
\(27\) | −0.746457 | − | 5.14226i | −0.143656 | − | 0.989628i | ||||
\(28\) | 1.60453i | 0.303227i | ||||||||
\(29\) | −2.12298 | −0.394228 | −0.197114 | − | 0.980381i | \(-0.563157\pi\) | ||||
−0.197114 | + | 0.980381i | \(0.563157\pi\) | |||||||
\(30\) | −0.697998 | + | 1.35543i | −0.127436 | + | 0.247467i | ||||
\(31\) | −2.48740 | −0.446751 | −0.223375 | − | 0.974732i | \(-0.571708\pi\) | ||||
−0.223375 | + | 0.974732i | \(0.571708\pi\) | |||||||
\(32\) | −5.65515 | −0.999699 | ||||||||
\(33\) | −0.938951 | − | 5.66731i | −0.163450 | − | 0.986552i | ||||
\(34\) | −4.94682 | −0.848372 | ||||||||
\(35\) | 1.39971 | 0.236593 | ||||||||
\(36\) | −2.79569 | − | 3.91851i | −0.465949 | − | 0.653085i | ||||
\(37\) | 1.31101 | 0.215529 | 0.107765 | − | 0.994176i | \(-0.465631\pi\) | ||||
0.107765 | + | 0.994176i | \(0.465631\pi\) | |||||||
\(38\) | − | 3.38839i | − | 0.549669i | ||||||
\(39\) | −4.06048 | + | 7.88498i | −0.650197 | + | 1.26261i | ||||
\(40\) | 3.17280i | 0.501664i | ||||||||
\(41\) | 6.47026 | 1.01049 | 0.505243 | − | 0.862977i | \(-0.331403\pi\) | ||||
0.505243 | + | 0.862977i | \(0.331403\pi\) | |||||||
\(42\) | 0.498675 | − | 0.968369i | 0.0769473 | − | 0.149423i | ||||
\(43\) | 4.29695i | 0.655279i | 0.944803 | + | 0.327639i | \(0.106253\pi\) | ||||
−0.944803 | + | 0.327639i | \(0.893747\pi\) | |||||||
\(44\) | −3.17691 | − | 4.26929i | −0.478938 | − | 0.643620i | ||||
\(45\) | −3.41830 | + | 2.43881i | −0.509570 | + | 0.363557i | ||||
\(46\) | − | 1.42435i | − | 0.210010i | ||||||
\(47\) | 6.76553i | 0.986854i | 0.869787 | + | 0.493427i | \(0.164256\pi\) | ||||
−0.869787 | + | 0.493427i | \(0.835744\pi\) | |||||||
\(48\) | −2.74646 | − | 1.41433i | −0.396417 | − | 0.204141i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | −1.91227 | −0.270436 | ||||||||
\(51\) | −12.1130 | − | 6.23776i | −1.69616 | − | 0.873461i | ||||
\(52\) | 8.21608i | 1.13937i | ||||||||
\(53\) | 7.79161i | 1.07026i | 0.844770 | + | 0.535130i | \(0.179737\pi\) | ||||
−0.844770 | + | 0.535130i | \(0.820263\pi\) | |||||||
\(54\) | 0.469421 | + | 3.23379i | 0.0638801 | + | 0.440063i | ||||
\(55\) | −3.72430 | + | 2.77137i | −0.502185 | + | 0.373691i | ||||
\(56\) | − | 2.26676i | − | 0.302909i | ||||||
\(57\) | 4.27263 | − | 8.29695i | 0.565924 | − | 1.09896i | ||||
\(58\) | 1.33507 | 0.175303 | ||||||||
\(59\) | − | 14.8736i | − | 1.93637i | −0.250232 | − | 0.968186i | \(-0.580507\pi\) | ||
0.250232 | − | 0.968186i | \(-0.419493\pi\) | |||||||
\(60\) | −1.78092 | + | 3.45833i | −0.229916 | + | 0.446469i | ||||
\(61\) | − | 9.28328i | − | 1.18860i | −0.804243 | − | 0.594301i | \(-0.797429\pi\) | ||
0.804243 | − | 0.594301i | \(-0.202571\pi\) | |||||||
\(62\) | 1.56424 | 0.198659 | ||||||||
\(63\) | 2.44216 | − | 1.74238i | 0.307683 | − | 0.219519i | ||||
\(64\) | −0.0108089 | −0.00135112 | ||||||||
\(65\) | 7.16727 | 0.888991 | ||||||||
\(66\) | 0.590474 | + | 3.56397i | 0.0726823 | + | 0.438695i | ||||
\(67\) | 9.60266 | 1.17315 | 0.586576 | − | 0.809894i | \(-0.300476\pi\) | ||||
0.586576 | + | 0.809894i | \(0.300476\pi\) | |||||||
\(68\) | −12.6216 | −1.53060 | ||||||||
\(69\) | 1.79606 | − | 3.48773i | 0.216220 | − | 0.419874i | ||||
\(70\) | −0.880226 | −0.105207 | ||||||||
\(71\) | 9.34832i | 1.10944i | 0.832037 | + | 0.554721i | \(0.187175\pi\) | ||||
−0.832037 | + | 0.554721i | \(0.812825\pi\) | |||||||
\(72\) | 3.94956 | + | 5.53579i | 0.465460 | + | 0.652399i | ||||
\(73\) | − | 9.47864i | − | 1.10939i | −0.832054 | − | 0.554695i | \(-0.812835\pi\) | ||
0.832054 | − | 0.554695i | \(-0.187165\pi\) | |||||||
\(74\) | −0.824451 | −0.0958405 | ||||||||
\(75\) | −4.68247 | − | 2.41130i | −0.540685 | − | 0.278433i | ||||
\(76\) | − | 8.64535i | − | 0.991690i | ||||||
\(77\) | 2.66078 | − | 1.97997i | 0.303224 | − | 0.225638i | ||||
\(78\) | 2.55350 | − | 4.95859i | 0.289126 | − | 0.561450i | ||||
\(79\) | − | 2.26153i | − | 0.254442i | −0.991874 | − | 0.127221i | \(-0.959394\pi\) | ||
0.991874 | − | 0.127221i | \(-0.0406057\pi\) | |||||||
\(80\) | 2.49647i | 0.279114i | ||||||||
\(81\) | −2.92824 | + | 8.51031i | −0.325360 | + | 0.945590i | ||||
\(82\) | −4.06892 | −0.449337 | ||||||||
\(83\) | −5.64197 | −0.619286 | −0.309643 | − | 0.950853i | \(-0.600210\pi\) | ||||
−0.309643 | + | 0.950853i | \(0.600210\pi\) | |||||||
\(84\) | 1.27235 | − | 2.47076i | 0.138825 | − | 0.269582i | ||||
\(85\) | 11.0104i | 1.19425i | ||||||||
\(86\) | − | 2.70220i | − | 0.291386i | ||||||
\(87\) | 3.26911 | + | 1.68348i | 0.350486 | + | 0.180488i | ||||
\(88\) | 4.48811 | + | 6.03135i | 0.478435 | + | 0.642944i | ||||
\(89\) | 3.80664i | 0.403503i | 0.979437 | + | 0.201751i | \(0.0646633\pi\) | ||||
−0.979437 | + | 0.201751i | \(0.935337\pi\) | |||||||
\(90\) | 2.14965 | − | 1.53369i | 0.226593 | − | 0.161665i | ||||
\(91\) | −5.12056 | −0.536780 | ||||||||
\(92\) | − | 3.63419i | − | 0.378891i | ||||||
\(93\) | 3.83027 | + | 1.97245i | 0.397180 | + | 0.204534i | ||||
\(94\) | − | 4.25461i | − | 0.438829i | ||||||
\(95\) | −7.54175 | −0.773767 | ||||||||
\(96\) | 8.70818 | + | 4.48440i | 0.888774 | + | 0.457687i | ||||
\(97\) | 15.8634 | 1.61068 | 0.805340 | − | 0.592813i | \(-0.201983\pi\) | ||||
0.805340 | + | 0.592813i | \(0.201983\pi\) | |||||||
\(98\) | 0.628865 | 0.0635250 | ||||||||
\(99\) | −3.04818 | + | 9.47146i | −0.306354 | + | 0.951918i | ||||
\(100\) | −4.87909 | −0.487909 | ||||||||
\(101\) | 0.306511 | 0.0304990 | 0.0152495 | − | 0.999884i | \(-0.495146\pi\) | ||||
0.0152495 | + | 0.999884i | \(0.495146\pi\) | |||||||
\(102\) | 7.61744 | + | 3.92271i | 0.754239 | + | 0.388406i | ||||
\(103\) | −1.13483 | −0.111819 | −0.0559093 | − | 0.998436i | \(-0.517806\pi\) | ||||
−0.0559093 | + | 0.998436i | \(0.517806\pi\) | |||||||
\(104\) | − | 11.6071i | − | 1.13817i | ||||||
\(105\) | −2.15536 | − | 1.10993i | −0.210341 | − | 0.108318i | ||||
\(106\) | − | 4.89988i | − | 0.475918i | ||||||
\(107\) | 7.47891 | 0.723014 | 0.361507 | − | 0.932369i | \(-0.382262\pi\) | ||||
0.361507 | + | 0.932369i | \(0.382262\pi\) | |||||||
\(108\) | 1.19771 | + | 8.25090i | 0.115250 | + | 0.793943i | ||||
\(109\) | 11.7266i | 1.12320i | 0.827407 | + | 0.561602i | \(0.189815\pi\) | ||||
−0.827407 | + | 0.561602i | \(0.810185\pi\) | |||||||
\(110\) | 2.34208 | − | 1.74282i | 0.223309 | − | 0.166171i | ||||
\(111\) | −2.01879 | − | 1.03960i | −0.191615 | − | 0.0986747i | ||||
\(112\) | − | 1.78357i | − | 0.168531i | ||||||
\(113\) | − | 2.16775i | − | 0.203925i | −0.994788 | − | 0.101962i | \(-0.967488\pi\) | ||
0.994788 | − | 0.101962i | \(-0.0325122\pi\) | |||||||
\(114\) | −2.68691 | + | 5.21766i | −0.251652 | + | 0.488679i | ||||
\(115\) | −3.17027 | −0.295630 | ||||||||
\(116\) | 3.40639 | 0.316275 | ||||||||
\(117\) | 12.5052 | − | 8.92194i | 1.15611 | − | 0.824834i | ||||
\(118\) | 9.35346i | 0.861056i | ||||||||
\(119\) | − | 7.86626i | − | 0.721099i | ||||||
\(120\) | 2.51595 | − | 4.88569i | 0.229674 | − | 0.446000i | ||||
\(121\) | −3.15947 | + | 10.5365i | −0.287224 | + | 0.957863i | ||||
\(122\) | 5.83793i | 0.528542i | ||||||||
\(123\) | −9.96334 | − | 5.13077i | −0.898364 | − | 0.462626i | ||||
\(124\) | 3.99111 | 0.358412 | ||||||||
\(125\) | 11.2548i | 1.00666i | ||||||||
\(126\) | −1.53579 | + | 1.09572i | −0.136819 | + | 0.0976145i | ||||
\(127\) | − | 17.3632i | − | 1.54074i | −0.637599 | − | 0.770368i | \(-0.720072\pi\) | ||
0.637599 | − | 0.770368i | \(-0.279928\pi\) | |||||||
\(128\) | 11.3171 | 1.00030 | ||||||||
\(129\) | 3.40738 | − | 6.61673i | 0.300003 | − | 0.582570i | ||||
\(130\) | −4.50725 | −0.395312 | ||||||||
\(131\) | −3.16449 | −0.276483 | −0.138241 | − | 0.990399i | \(-0.544145\pi\) | ||||
−0.138241 | + | 0.990399i | \(0.544145\pi\) | |||||||
\(132\) | 1.50657 | + | 9.09336i | 0.131130 | + | 0.791475i | ||||
\(133\) | 5.38810 | 0.467207 | ||||||||
\(134\) | −6.03878 | −0.521671 | ||||||||
\(135\) | 7.19764 | − | 1.04482i | 0.619474 | − | 0.0899237i | ||||
\(136\) | 17.8309 | 1.52899 | ||||||||
\(137\) | 5.63128i | 0.481113i | 0.970635 | + | 0.240556i | \(0.0773299\pi\) | ||||
−0.970635 | + | 0.240556i | \(0.922670\pi\) | |||||||
\(138\) | −1.12948 | + | 2.19332i | −0.0961476 | + | 0.186707i | ||||
\(139\) | − | 1.99470i | − | 0.169188i | −0.996415 | − | 0.0845942i | \(-0.973041\pi\) | ||
0.996415 | − | 0.0845942i | \(-0.0269594\pi\) | |||||||
\(140\) | −2.24587 | −0.189810 | ||||||||
\(141\) | 5.36491 | − | 10.4180i | 0.451807 | − | 0.877355i | ||||
\(142\) | − | 5.87884i | − | 0.493341i | ||||||
\(143\) | 13.6247 | − | 10.1385i | 1.13935 | − | 0.847827i | ||||
\(144\) | 3.10765 | + | 4.35575i | 0.258971 | + | 0.362979i | ||||
\(145\) | − | 2.97155i | − | 0.246774i | ||||||
\(146\) | 5.96079i | 0.493318i | ||||||||
\(147\) | 1.53987 | + | 0.792976i | 0.127006 | + | 0.0654036i | ||||
\(148\) | −2.10356 | −0.172911 | ||||||||
\(149\) | −19.3628 | −1.58626 | −0.793131 | − | 0.609050i | \(-0.791551\pi\) | ||||
−0.793131 | + | 0.609050i | \(0.791551\pi\) | |||||||
\(150\) | 2.94464 | + | 1.51638i | 0.240429 | + | 0.123812i | ||||
\(151\) | 1.52076i | 0.123757i | 0.998084 | + | 0.0618787i | \(0.0197092\pi\) | ||||
−0.998084 | + | 0.0618787i | \(0.980291\pi\) | |||||||
\(152\) | 12.2135i | 0.990649i | ||||||||
\(153\) | 13.7060 | + | 19.2106i | 1.10806 | + | 1.55309i | ||||
\(154\) | −1.67327 | + | 1.24513i | −0.134836 | + | 0.100336i | ||||
\(155\) | − | 3.48163i | − | 0.279651i | ||||||
\(156\) | 6.51516 | − | 12.6517i | 0.521630 | − | 1.01294i | ||||
\(157\) | −15.8226 | −1.26278 | −0.631392 | − | 0.775464i | \(-0.717516\pi\) | ||||
−0.631392 | + | 0.775464i | \(0.717516\pi\) | |||||||
\(158\) | 1.42220i | 0.113144i | ||||||||
\(159\) | 6.17857 | − | 11.9980i | 0.489992 | − | 0.951507i | ||||
\(160\) | − | 7.91554i | − | 0.625779i | ||||||
\(161\) | 2.26496 | 0.178504 | ||||||||
\(162\) | 1.84147 | − | 5.35184i | 0.144680 | − | 0.420480i | ||||
\(163\) | −16.4393 | −1.28762 | −0.643811 | − | 0.765185i | \(-0.722648\pi\) | ||||
−0.643811 | + | 0.765185i | \(0.722648\pi\) | |||||||
\(164\) | −10.3817 | −0.810676 | ||||||||
\(165\) | 7.93256 | − | 1.31425i | 0.617549 | − | 0.102315i | ||||
\(166\) | 3.54804 | 0.275381 | ||||||||
\(167\) | −6.15137 | −0.476008 | −0.238004 | − | 0.971264i | \(-0.576493\pi\) | ||||
−0.238004 | + | 0.971264i | \(0.576493\pi\) | |||||||
\(168\) | −1.79749 | + | 3.49051i | −0.138679 | + | 0.269299i | ||||
\(169\) | −13.2201 | −1.01693 | ||||||||
\(170\) | − | 6.92409i | − | 0.531053i | ||||||
\(171\) | −13.1586 | + | 9.38810i | −1.00626 | + | 0.717926i | ||||
\(172\) | − | 6.89458i | − | 0.525707i | ||||||
\(173\) | −10.1442 | −0.771246 | −0.385623 | − | 0.922656i | \(-0.626013\pi\) | ||||
−0.385623 | + | 0.922656i | \(0.626013\pi\) | |||||||
\(174\) | −2.05583 | − | 1.05868i | −0.155852 | − | 0.0802583i | ||||
\(175\) | − | 3.04083i | − | 0.229865i | ||||||
\(176\) | 3.53141 | + | 4.74568i | 0.266190 | + | 0.357719i | ||||
\(177\) | −11.7944 | + | 22.9033i | −0.886520 | + | 1.72152i | ||||
\(178\) | − | 2.39386i | − | 0.179428i | ||||||
\(179\) | − | 9.88518i | − | 0.738853i | −0.929260 | − | 0.369426i | \(-0.879554\pi\) | ||
0.929260 | − | 0.369426i | \(-0.120446\pi\) | |||||||
\(180\) | 5.48475 | − | 3.91315i | 0.408809 | − | 0.291669i | ||||
\(181\) | 2.72524 | 0.202566 | 0.101283 | − | 0.994858i | \(-0.467705\pi\) | ||||
0.101283 | + | 0.994858i | \(0.467705\pi\) | |||||||
\(182\) | 3.22014 | 0.238693 | ||||||||
\(183\) | −7.36142 | + | 14.2950i | −0.544172 | + | 1.05672i | ||||
\(184\) | 5.13413i | 0.378493i | ||||||||
\(185\) | 1.83503i | 0.134914i | ||||||||
\(186\) | −2.40872 | − | 1.24041i | −0.176616 | − | 0.0909510i | ||||
\(187\) | 15.5749 | + | 20.9304i | 1.13895 | + | 1.53058i | ||||
\(188\) | − | 10.8555i | − | 0.791718i | ||||||
\(189\) | −5.14226 | + | 0.746457i | −0.374044 | + | 0.0542968i | ||||
\(190\) | 4.74274 | 0.344075 | ||||||||
\(191\) | − | 5.91523i | − | 0.428011i | −0.976832 | − | 0.214005i | \(-0.931349\pi\) | ||
0.976832 | − | 0.214005i | \(-0.0686510\pi\) | |||||||
\(192\) | 0.0166443 | + | 0.00857124i | 0.00120120 | + | 0.000618576i | ||||
\(193\) | − | 21.9963i | − | 1.58333i | −0.610958 | − | 0.791663i | \(-0.709216\pi\) | ||
0.610958 | − | 0.791663i | \(-0.290784\pi\) | |||||||
\(194\) | −9.97591 | −0.716229 | ||||||||
\(195\) | −11.0366 | − | 5.68348i | −0.790350 | − | 0.407002i | ||||
\(196\) | 1.60453 | 0.114609 | ||||||||
\(197\) | 11.5825 | 0.825220 | 0.412610 | − | 0.910908i | \(-0.364617\pi\) | ||||
0.412610 | + | 0.910908i | \(0.364617\pi\) | |||||||
\(198\) | 1.91690 | − | 5.95627i | 0.136228 | − | 0.423294i | ||||
\(199\) | −5.35255 | −0.379432 | −0.189716 | − | 0.981839i | \(-0.560757\pi\) | ||||
−0.189716 | + | 0.981839i | \(0.560757\pi\) | |||||||
\(200\) | 6.89283 | 0.487397 | ||||||||
\(201\) | −14.7868 | − | 7.61468i | −1.04298 | − | 0.537098i | ||||
\(202\) | −0.192754 | −0.0135621 | ||||||||
\(203\) | 2.12298i | 0.149004i | ||||||||
\(204\) | 19.4356 | + | 10.0087i | 1.36077 | + | 0.700746i | ||||
\(205\) | 9.05646i | 0.632531i | ||||||||
\(206\) | 0.713658 | 0.0497229 | ||||||||
\(207\) | −5.53138 | + | 3.94641i | −0.384458 | + | 0.274295i | ||||
\(208\) | − | 9.13287i | − | 0.633250i | ||||||
\(209\) | −14.3365 | + | 10.6683i | −0.991678 | + | 0.737938i | ||||
\(210\) | 1.35543 | + | 0.697998i | 0.0935336 | + | 0.0481665i | ||||
\(211\) | 10.7037i | 0.736872i | 0.929653 | + | 0.368436i | \(0.120107\pi\) | ||||
−0.929653 | + | 0.368436i | \(0.879893\pi\) | |||||||
\(212\) | − | 12.5019i | − | 0.858632i | ||||||
\(213\) | 7.41300 | − | 14.3952i | 0.507930 | − | 0.986341i | ||||
\(214\) | −4.70323 | −0.321506 | ||||||||
\(215\) | −6.01446 | −0.410183 | ||||||||
\(216\) | −1.69204 | − | 11.6563i | −0.115129 | − | 0.793109i | ||||
\(217\) | 2.48740i | 0.168856i | ||||||||
\(218\) | − | 7.37445i | − | 0.499461i | ||||||
\(219\) | −7.51634 | + | 14.5958i | −0.507907 | + | 0.986295i | ||||
\(220\) | 5.97575 | − | 4.44674i | 0.402885 | − | 0.299799i | ||||
\(221\) | − | 40.2796i | − | 2.70950i | ||||||
\(222\) | 1.26954 | + | 0.653770i | 0.0852062 | + | 0.0438782i | ||||
\(223\) | −2.20941 | −0.147953 | −0.0739764 | − | 0.997260i | \(-0.523569\pi\) | ||||
−0.0739764 | + | 0.997260i | \(0.523569\pi\) | |||||||
\(224\) | 5.65515i | 0.377851i | ||||||||
\(225\) | 5.29827 | + | 7.42617i | 0.353218 | + | 0.495078i | ||||
\(226\) | 1.36322i | 0.0906803i | ||||||||
\(227\) | −9.90328 | −0.657304 | −0.328652 | − | 0.944451i | \(-0.606594\pi\) | ||||
−0.328652 | + | 0.944451i | \(0.606594\pi\) | |||||||
\(228\) | −6.85556 | + | 13.3127i | −0.454021 | + | 0.881654i | ||||
\(229\) | −8.82851 | −0.583405 | −0.291702 | − | 0.956509i | \(-0.594222\pi\) | ||||
−0.291702 | + | 0.956509i | \(0.594222\pi\) | |||||||
\(230\) | 1.99368 | 0.131459 | ||||||||
\(231\) | −5.66731 | + | 0.938951i | −0.372881 | + | 0.0617784i | ||||
\(232\) | −4.81230 | −0.315943 | ||||||||
\(233\) | −3.51336 | −0.230168 | −0.115084 | − | 0.993356i | \(-0.536714\pi\) | ||||
−0.115084 | + | 0.993356i | \(0.536714\pi\) | |||||||
\(234\) | −7.86409 | + | 5.61070i | −0.514091 | + | 0.366783i | ||||
\(235\) | −9.46975 | −0.617738 | ||||||||
\(236\) | 23.8650i | 1.55348i | ||||||||
\(237\) | −1.79334 | + | 3.48245i | −0.116490 | + | 0.226210i | ||||
\(238\) | 4.94682i | 0.320655i | ||||||||
\(239\) | −25.8002 | −1.66888 | −0.834439 | − | 0.551101i | \(-0.814208\pi\) | ||||
−0.834439 | + | 0.551101i | \(0.814208\pi\) | |||||||
\(240\) | 1.97964 | − | 3.84423i | 0.127785 | − | 0.248144i | ||||
\(241\) | 12.6023i | 0.811786i | 0.913921 | + | 0.405893i | \(0.133040\pi\) | ||||
−0.913921 | + | 0.405893i | \(0.866960\pi\) | |||||||
\(242\) | 1.98688 | − | 6.62604i | 0.127721 | − | 0.425938i | ||||
\(243\) | 11.2576 | − | 10.7827i | 0.722174 | − | 0.691711i | ||||
\(244\) | 14.8953i | 0.953573i | ||||||||
\(245\) | − | 1.39971i | − | 0.0894239i | ||||||
\(246\) | 6.26560 | + | 3.22656i | 0.399480 | + | 0.205718i | ||||
\(247\) | 27.5901 | 1.75551 | ||||||||
\(248\) | −5.63835 | −0.358036 | ||||||||
\(249\) | 8.68787 | + | 4.47395i | 0.550572 | + | 0.283525i | ||||
\(250\) | − | 7.07774i | − | 0.447636i | ||||||
\(251\) | 2.24802i | 0.141894i | 0.997480 | + | 0.0709469i | \(0.0226021\pi\) | ||||
−0.997480 | + | 0.0709469i | \(0.977398\pi\) | |||||||
\(252\) | −3.91851 | + | 2.79569i | −0.246843 | + | 0.176112i | ||||
\(253\) | −6.02655 | + | 4.48454i | −0.378886 | + | 0.281941i | ||||
\(254\) | 10.9191i | 0.685127i | ||||||||
\(255\) | 8.73102 | − | 16.9546i | 0.546758 | − | 1.06174i | ||||
\(256\) | −7.09531 | −0.443457 | ||||||||
\(257\) | − | 2.20944i | − | 0.137821i | −0.997623 | − | 0.0689106i | \(-0.978048\pi\) | ||
0.997623 | − | 0.0689106i | \(-0.0219523\pi\) | |||||||
\(258\) | −2.14278 | + | 4.16103i | −0.133404 | + | 0.259054i | ||||
\(259\) | − | 1.31101i | − | 0.0814624i | ||||||
\(260\) | −11.5001 | −0.713205 | ||||||||
\(261\) | −3.69904 | − | 5.18466i | −0.228965 | − | 0.320922i | ||||
\(262\) | 1.99004 | 0.122945 | ||||||||
\(263\) | 22.5624 | 1.39126 | 0.695629 | − | 0.718401i | \(-0.255126\pi\) | ||||
0.695629 | + | 0.718401i | \(0.255126\pi\) | |||||||
\(264\) | −2.12838 | − | 12.8464i | −0.130993 | − | 0.790644i | ||||
\(265\) | −10.9060 | −0.669948 | ||||||||
\(266\) | −3.38839 | −0.207755 | ||||||||
\(267\) | 3.01857 | − | 5.86171i | 0.184734 | − | 0.358731i | ||||
\(268\) | −15.4077 | −0.941178 | ||||||||
\(269\) | − | 3.79522i | − | 0.231399i | −0.993284 | − | 0.115699i | \(-0.963089\pi\) | ||
0.993284 | − | 0.115699i | \(-0.0369109\pi\) | |||||||
\(270\) | −4.52635 | + | 0.657051i | −0.275465 | + | 0.0399868i | ||||
\(271\) | − | 13.4820i | − | 0.818972i | −0.912316 | − | 0.409486i | \(-0.865708\pi\) | ||
0.912316 | − | 0.409486i | \(-0.134292\pi\) | |||||||
\(272\) | 14.0300 | 0.850694 | ||||||||
\(273\) | 7.88498 | + | 4.06048i | 0.477220 | + | 0.245752i | ||||
\(274\) | − | 3.54132i | − | 0.213939i | ||||||
\(275\) | 6.02073 | + | 8.09096i | 0.363064 | + | 0.487903i | ||||
\(276\) | −2.88183 | + | 5.59617i | −0.173466 | + | 0.336850i | ||||
\(277\) | 0.0725150i | 0.00435700i | 0.999998 | + | 0.00217850i | \(0.000693439\pi\) | ||||
−0.999998 | + | 0.00217850i | \(0.999307\pi\) | |||||||
\(278\) | 1.25440i | 0.0752338i | ||||||||
\(279\) | −4.33400 | − | 6.07463i | −0.259470 | − | 0.363678i | ||||
\(280\) | 3.17280 | 0.189611 | ||||||||
\(281\) | 10.1465 | 0.605287 | 0.302644 | − | 0.953104i | \(-0.402131\pi\) | ||||
0.302644 | + | 0.953104i | \(0.402131\pi\) | |||||||
\(282\) | −3.37380 | + | 6.55153i | −0.200907 | + | 0.390138i | ||||
\(283\) | 0.711086i | 0.0422697i | 0.999777 | + | 0.0211348i | \(0.00672793\pi\) | ||||
−0.999777 | + | 0.0211348i | \(0.993272\pi\) | |||||||
\(284\) | − | 14.9996i | − | 0.890065i | ||||||
\(285\) | 11.6133 | + | 5.98043i | 0.687911 | + | 0.354250i | ||||
\(286\) | −8.56808 | + | 6.37577i | −0.506641 | + | 0.377007i | ||||
\(287\) | − | 6.47026i | − | 0.381928i | ||||||
\(288\) | −9.85340 | − | 13.8108i | −0.580617 | − | 0.813806i | ||||
\(289\) | 44.8780 | 2.63988 | ||||||||
\(290\) | 1.86871i | 0.109734i | ||||||||
\(291\) | −24.4274 | − | 12.5793i | −1.43196 | − | 0.737410i | ||||
\(292\) | 15.2087i | 0.890024i | ||||||||
\(293\) | −5.24916 | −0.306659 | −0.153330 | − | 0.988175i | \(-0.549000\pi\) | ||||
−0.153330 | + | 0.988175i | \(0.549000\pi\) | |||||||
\(294\) | −0.968369 | − | 0.498675i | −0.0564764 | − | 0.0290833i | ||||
\(295\) | 20.8186 | 1.21211 | ||||||||
\(296\) | 2.97176 | 0.172730 | ||||||||
\(297\) | 12.2044 | − | 12.1677i | 0.708173 | − | 0.706039i | ||||
\(298\) | 12.1766 | 0.705371 | ||||||||
\(299\) | 11.5979 | 0.670721 | ||||||||
\(300\) | 7.51315 | + | 3.86900i | 0.433772 | + | 0.223377i | ||||
\(301\) | 4.29695 | 0.247672 | ||||||||
\(302\) | − | 0.956351i | − | 0.0550318i | ||||||
\(303\) | −0.471986 | − | 0.243056i | −0.0271149 | − | 0.0139632i | ||||
\(304\) | 9.61004i | 0.551174i | ||||||||
\(305\) | 12.9939 | 0.744026 | ||||||||
\(306\) | −8.61922 | − | 12.0809i | −0.492728 | − | 0.690619i | ||||
\(307\) | − | 9.12897i | − | 0.521018i | −0.965471 | − | 0.260509i | \(-0.916110\pi\) | ||
0.965471 | − | 0.260509i | \(-0.0838904\pi\) | |||||||
\(308\) | −4.26929 | + | 3.17691i | −0.243265 | + | 0.181021i | ||||
\(309\) | 1.74749 | + | 0.899897i | 0.0994114 | + | 0.0511933i | ||||
\(310\) | 2.18948i | 0.124354i | ||||||||
\(311\) | 27.3166i | 1.54898i | 0.632586 | + | 0.774490i | \(0.281993\pi\) | ||||
−0.632586 | + | 0.774490i | \(0.718007\pi\) | |||||||
\(312\) | −9.20415 | + | 17.8734i | −0.521082 | + | 1.01188i | ||||
\(313\) | −17.8132 | −1.00686 | −0.503430 | − | 0.864036i | \(-0.667929\pi\) | ||||
−0.503430 | + | 0.864036i | \(0.667929\pi\) | |||||||
\(314\) | 9.95031 | 0.561528 | ||||||||
\(315\) | 2.43881 | + | 3.41830i | 0.137412 | + | 0.192599i | ||||
\(316\) | 3.62869i | 0.204130i | ||||||||
\(317\) | 4.33844i | 0.243671i | 0.992550 | + | 0.121835i | \(0.0388780\pi\) | ||||
−0.992550 | + | 0.121835i | \(0.961122\pi\) | |||||||
\(318\) | −3.88549 | + | 7.54515i | −0.217887 | + | 0.423111i | ||||
\(319\) | −4.20344 | − | 5.64879i | −0.235347 | − | 0.316271i | ||||
\(320\) | − | 0.0151293i | − | 0.000845756i | ||||||
\(321\) | −11.5165 | − | 5.93060i | −0.642790 | − | 0.331014i | ||||
\(322\) | −1.42435 | −0.0793762 | ||||||||
\(323\) | 42.3842i | 2.35832i | ||||||||
\(324\) | 4.69845 | − | 13.6550i | 0.261025 | − | 0.758613i | ||||
\(325\) | − | 15.5707i | − | 0.863709i | ||||||
\(326\) | 10.3381 | 0.572573 | ||||||||
\(327\) | 9.29892 | − | 18.0574i | 0.514231 | − | 0.998577i | ||||
\(328\) | 14.6666 | 0.809825 | ||||||||
\(329\) | 6.76553 | 0.372996 | ||||||||
\(330\) | −4.98851 | + | 0.826489i | −0.274608 | + | 0.0454967i | ||||
\(331\) | −25.5248 | −1.40297 | −0.701486 | − | 0.712683i | \(-0.747480\pi\) | ||||
−0.701486 | + | 0.712683i | \(0.747480\pi\) | |||||||
\(332\) | 9.05269 | 0.496831 | ||||||||
\(333\) | 2.28428 | + | 3.20170i | 0.125178 | + | 0.175452i | ||||
\(334\) | 3.86839 | 0.211669 | ||||||||
\(335\) | 13.4409i | 0.734355i | ||||||||
\(336\) | −1.41433 | + | 2.74646i | −0.0771579 | + | 0.149832i | ||||
\(337\) | − | 9.72472i | − | 0.529739i | −0.964284 | − | 0.264870i | \(-0.914671\pi\) | ||
0.964284 | − | 0.264870i | \(-0.0853289\pi\) | |||||||
\(338\) | 8.31368 | 0.452204 | ||||||||
\(339\) | −1.71898 | + | 3.33805i | −0.0933619 | + | 0.181298i | ||||
\(340\) | − | 17.6666i | − | 0.958104i | ||||||
\(341\) | −4.92498 | − | 6.61843i | −0.266702 | − | 0.358408i | ||||
\(342\) | 8.27497 | − | 5.90385i | 0.447459 | − | 0.319244i | ||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | 9.74016i | 0.525154i | ||||||||
\(345\) | 4.88180 | + | 2.51395i | 0.262827 | + | 0.135347i | ||||
\(346\) | 6.37931 | 0.342954 | ||||||||
\(347\) | 20.4532 | 1.09799 | 0.548994 | − | 0.835826i | \(-0.315011\pi\) | ||||
0.548994 | + | 0.835826i | \(0.315011\pi\) | |||||||
\(348\) | −5.24538 | − | 2.70119i | −0.281182 | − | 0.144799i | ||||
\(349\) | − | 17.2193i | − | 0.921726i | −0.887471 | − | 0.460863i | \(-0.847540\pi\) | ||
0.887471 | − | 0.460863i | \(-0.152460\pi\) | |||||||
\(350\) | 1.91227i | 0.102215i | ||||||||
\(351\) | −26.3312 | + | 3.82228i | −1.40546 | + | 0.204018i | ||||
\(352\) | −11.1970 | − | 15.0471i | −0.596802 | − | 0.802013i | ||||
\(353\) | 12.2957i | 0.654435i | 0.944949 | + | 0.327217i | \(0.106111\pi\) | ||||
−0.944949 | + | 0.327217i | \(0.893889\pi\) | |||||||
\(354\) | 7.41707 | − | 14.4031i | 0.394213 | − | 0.765515i | ||||
\(355\) | −13.0849 | −0.694474 | ||||||||
\(356\) | − | 6.10786i | − | 0.323716i | ||||||
\(357\) | −6.23776 | + | 12.1130i | −0.330137 | + | 0.641087i | ||||
\(358\) | 6.21644i | 0.328549i | ||||||||
\(359\) | 17.0719 | 0.901018 | 0.450509 | − | 0.892772i | \(-0.351243\pi\) | ||||
0.450509 | + | 0.892772i | \(0.351243\pi\) | |||||||
\(360\) | −7.74847 | + | 5.52821i | −0.408380 | + | 0.291362i | ||||
\(361\) | −10.0316 | −0.527978 | ||||||||
\(362\) | −1.71381 | −0.0900759 | ||||||||
\(363\) | 13.2203 | − | 13.7194i | 0.693888 | − | 0.720083i | ||||
\(364\) | 8.21608 | 0.430640 | ||||||||
\(365\) | 13.2673 | 0.694442 | ||||||||
\(366\) | 4.62934 | − | 8.98964i | 0.241980 | − | 0.469896i | ||||
\(367\) | 25.9213 | 1.35308 | 0.676539 | − | 0.736406i | \(-0.263479\pi\) | ||||
0.676539 | + | 0.736406i | \(0.263479\pi\) | |||||||
\(368\) | 4.03971i | 0.210584i | ||||||||
\(369\) | 11.2736 | + | 15.8014i | 0.586882 | + | 0.822587i | ||||
\(370\) | − | 1.15399i | − | 0.0599930i | ||||||
\(371\) | 7.79161 | 0.404520 | ||||||||
\(372\) | −6.14578 | − | 3.16486i | −0.318644 | − | 0.164090i | ||||
\(373\) | − | 6.27775i | − | 0.325049i | −0.986704 | − | 0.162525i | \(-0.948036\pi\) | ||
0.986704 | − | 0.162525i | \(-0.0519637\pi\) | |||||||
\(374\) | −9.79453 | − | 13.1624i | −0.506463 | − | 0.680610i | ||||
\(375\) | 8.92478 | − | 17.3309i | 0.460874 | − | 0.894962i | ||||
\(376\) | 15.3359i | 0.790886i | ||||||||
\(377\) | 10.8709i | 0.559878i | ||||||||
\(378\) | 3.23379 | − | 0.469421i | 0.166328 | − | 0.0241444i | ||||
\(379\) | 3.81760 | 0.196097 | 0.0980484 | − | 0.995182i | \(-0.468740\pi\) | ||||
0.0980484 | + | 0.995182i | \(0.468740\pi\) | |||||||
\(380\) | 12.1009 | 0.620765 | ||||||||
\(381\) | −13.7686 | + | 26.7370i | −0.705388 | + | 1.36978i | ||||
\(382\) | 3.71988i | 0.190326i | ||||||||
\(383\) | 4.10141i | 0.209572i | 0.994495 | + | 0.104786i | \(0.0334158\pi\) | ||||
−0.994495 | + | 0.104786i | \(0.966584\pi\) | |||||||
\(384\) | −17.4268 | − | 8.97419i | −0.889309 | − | 0.457962i | ||||
\(385\) | 2.77137 | + | 3.72430i | 0.141242 | + | 0.189808i | ||||
\(386\) | 13.8327i | 0.704065i | ||||||||
\(387\) | −10.4938 | + | 7.48691i | −0.533431 | + | 0.380581i | ||||
\(388\) | −25.4532 | −1.29219 | ||||||||
\(389\) | − | 21.1329i | − | 1.07148i | −0.844383 | − | 0.535741i | \(-0.820032\pi\) | ||
0.844383 | − | 0.535741i | \(-0.179968\pi\) | |||||||
\(390\) | 6.94056 | + | 3.57414i | 0.351449 | + | 0.180984i | ||||
\(391\) | 17.8168i | 0.901032i | ||||||||
\(392\) | −2.26676 | −0.114489 | ||||||||
\(393\) | 4.87289 | + | 2.50936i | 0.245805 | + | 0.126581i | ||||
\(394\) | −7.28384 | −0.366955 | ||||||||
\(395\) | 3.16548 | 0.159272 | ||||||||
\(396\) | 4.89089 | − | 15.1972i | 0.245777 | − | 0.763690i | ||||
\(397\) | −2.00808 | −0.100783 | −0.0503913 | − | 0.998730i | \(-0.516047\pi\) | ||||
−0.0503913 | + | 0.998730i | \(0.516047\pi\) | |||||||
\(398\) | 3.36603 | 0.168724 | ||||||||
\(399\) | −8.29695 | − | 4.27263i | −0.415367 | − | 0.213899i | ||||
\(400\) | 5.42352 | 0.271176 | ||||||||
\(401\) | − | 7.68132i | − | 0.383587i | −0.981435 | − | 0.191793i | \(-0.938570\pi\) | ||
0.981435 | − | 0.191793i | \(-0.0614303\pi\) | |||||||
\(402\) | 9.29892 | + | 4.78861i | 0.463788 | + | 0.238834i | ||||
\(403\) | 12.7369i | 0.634470i | ||||||||
\(404\) | −0.491806 | −0.0244683 | ||||||||
\(405\) | −11.9119 | − | 4.09868i | −0.591908 | − | 0.203665i | ||||
\(406\) | − | 1.33507i | − | 0.0662585i | ||||||
\(407\) | 2.59576 | + | 3.48831i | 0.128667 | + | 0.172909i | ||||
\(408\) | −27.4573 | − | 14.1395i | −1.35934 | − | 0.700010i | ||||
\(409\) | 22.3006i | 1.10269i | 0.834276 | + | 0.551347i | \(0.185886\pi\) | ||||
−0.834276 | + | 0.551347i | \(0.814114\pi\) | |||||||
\(410\) | − | 5.69529i | − | 0.281270i | ||||||
\(411\) | 4.46547 | − | 8.67142i | 0.220265 | − | 0.427730i | ||||
\(412\) | 1.82087 | 0.0897080 | ||||||||
\(413\) | −14.8736 | −0.731880 | ||||||||
\(414\) | 3.47849 | − | 2.48176i | 0.170959 | − | 0.121972i | ||||
\(415\) | − | 7.89709i | − | 0.387653i | ||||||
\(416\) | 28.9575i | 1.41976i | ||||||||
\(417\) | −1.58175 | + | 3.07157i | −0.0774587 | + | 0.150416i | ||||
\(418\) | 9.01574 | − | 6.70889i | 0.440974 | − | 0.328143i | ||||
\(419\) | 16.6237i | 0.812120i | 0.913846 | + | 0.406060i | \(0.133098\pi\) | ||||
−0.913846 | + | 0.406060i | \(0.866902\pi\) | |||||||
\(420\) | 3.45833 | + | 1.78092i | 0.168749 | + | 0.0868999i | ||||
\(421\) | 13.0467 | 0.635857 | 0.317929 | − | 0.948115i | \(-0.397013\pi\) | ||||
0.317929 | + | 0.948115i | \(0.397013\pi\) | |||||||
\(422\) | − | 6.73117i | − | 0.327668i | ||||||
\(423\) | −16.5225 | + | 11.7881i | −0.803350 | + | 0.573157i | ||||
\(424\) | 17.6617i | 0.857730i | ||||||||
\(425\) | 23.9199 | 1.16029 | ||||||||
\(426\) | −4.66178 | + | 9.05262i | −0.225864 | + | 0.438601i | ||||
\(427\) | −9.28328 | −0.449249 | ||||||||
\(428\) | −12.0001 | −0.580048 | ||||||||
\(429\) | −29.0198 | + | 4.80795i | −1.40109 | + | 0.232130i | ||||
\(430\) | 3.78229 | 0.182398 | ||||||||
\(431\) | 6.33438 | 0.305116 | 0.152558 | − | 0.988295i | \(-0.451249\pi\) | ||||
0.152558 | + | 0.988295i | \(0.451249\pi\) | |||||||
\(432\) | −1.33136 | − | 9.17157i | −0.0640549 | − | 0.441267i | ||||
\(433\) | 10.2252 | 0.491390 | 0.245695 | − | 0.969347i | \(-0.420984\pi\) | ||||
0.245695 | + | 0.969347i | \(0.420984\pi\) | |||||||
\(434\) | − | 1.56424i | − | 0.0750860i | ||||||
\(435\) | −2.35637 | + | 4.57579i | −0.112979 | + | 0.219393i | ||||
\(436\) | − | 18.8157i | − | 0.901107i | ||||||
\(437\) | −12.2038 | −0.583788 | ||||||||
\(438\) | 4.72676 | − | 9.17882i | 0.225853 | − | 0.438581i | ||||
\(439\) | − | 13.5977i | − | 0.648984i | −0.945888 | − | 0.324492i | \(-0.894807\pi\) | ||
0.945888 | − | 0.324492i | \(-0.105193\pi\) | |||||||
\(440\) | −8.44211 | + | 6.28204i | −0.402462 | + | 0.299484i | ||||
\(441\) | −1.74238 | − | 2.44216i | −0.0829703 | − | 0.116293i | ||||
\(442\) | 25.3305i | 1.20485i | ||||||||
\(443\) | − | 37.4083i | − | 1.77732i | −0.458563 | − | 0.888662i | \(-0.651636\pi\) | ||
0.458563 | − | 0.888662i | \(-0.348364\pi\) | |||||||
\(444\) | 3.23920 | + | 1.66807i | 0.153726 | + | 0.0791632i | ||||
\(445\) | −5.32817 | −0.252580 | ||||||||
\(446\) | 1.38942 | 0.0657909 | ||||||||
\(447\) | 29.8161 | + | 15.3542i | 1.41025 | + | 0.726231i | ||||
\(448\) | 0.0108089i | 0.000510675i | ||||||||
\(449\) | − | 21.2272i | − | 1.00177i | −0.865513 | − | 0.500886i | \(-0.833008\pi\) | ||
0.865513 | − | 0.500886i | \(-0.166992\pi\) | |||||||
\(450\) | −3.33190 | − | 4.67006i | −0.157067 | − | 0.220149i | ||||
\(451\) | 12.8109 | + | 17.2159i | 0.603242 | + | 0.810666i | ||||
\(452\) | 3.47822i | 0.163602i | ||||||||
\(453\) | 1.20592 | − | 2.34176i | 0.0566592 | − | 0.110026i | ||||
\(454\) | 6.22783 | 0.292286 | ||||||||
\(455\) | − | 7.16727i | − | 0.336007i | ||||||
\(456\) | 9.68505 | − | 18.8072i | 0.453544 | − | 0.880729i | ||||
\(457\) | − | 25.3347i | − | 1.18511i | −0.805531 | − | 0.592553i | \(-0.798120\pi\) | ||
0.805531 | − | 0.592553i | \(-0.201880\pi\) | |||||||
\(458\) | 5.55195 | 0.259425 | ||||||||
\(459\) | −5.87182 | − | 40.4503i | −0.274073 | − | 1.88806i | ||||
\(460\) | 5.08680 | 0.237173 | ||||||||
\(461\) | −32.9044 | −1.53251 | −0.766255 | − | 0.642537i | \(-0.777882\pi\) | ||||
−0.766255 | + | 0.642537i | \(0.777882\pi\) | |||||||
\(462\) | 3.56397 | − | 0.590474i | 0.165811 | − | 0.0274713i | ||||
\(463\) | 7.10290 | 0.330100 | 0.165050 | − | 0.986285i | \(-0.447222\pi\) | ||||
0.165050 | + | 0.986285i | \(0.447222\pi\) | |||||||
\(464\) | −3.78649 | −0.175783 | ||||||||
\(465\) | −2.76085 | + | 5.36125i | −0.128031 | + | 0.248622i | ||||
\(466\) | 2.20943 | 0.102350 | ||||||||
\(467\) | − | 8.26658i | − | 0.382532i | −0.981538 | − | 0.191266i | \(-0.938741\pi\) | ||
0.981538 | − | 0.191266i | \(-0.0612592\pi\) | |||||||
\(468\) | −20.0649 | + | 14.3155i | −0.927503 | + | 0.661735i | ||||
\(469\) | − | 9.60266i | − | 0.443410i | ||||||
\(470\) | 5.95520 | 0.274693 | ||||||||
\(471\) | 24.3647 | + | 12.5470i | 1.12267 | + | 0.578134i | ||||
\(472\) | − | 33.7148i | − | 1.55185i | ||||||
\(473\) | −11.4332 | + | 8.50782i | −0.525700 | + | 0.391190i | ||||
\(474\) | 1.12777 | − | 2.18999i | 0.0518002 | − | 0.100590i | ||||
\(475\) | 16.3843i | 0.751762i | ||||||||
\(476\) | 12.6216i | 0.578512i | ||||||||
\(477\) | −19.0283 | + | 13.5759i | −0.871247 | + | 0.621599i | ||||
\(478\) | 16.2249 | 0.742108 | ||||||||
\(479\) | 20.8747 | 0.953792 | 0.476896 | − | 0.878960i | \(-0.341762\pi\) | ||||
0.476896 | + | 0.878960i | \(0.341762\pi\) | |||||||
\(480\) | −6.27684 | + | 12.1889i | −0.286497 | + | 0.556344i | ||||
\(481\) | − | 6.71312i | − | 0.306092i | ||||||
\(482\) | − | 7.92516i | − | 0.360981i | ||||||
\(483\) | −3.48773 | − | 1.79606i | −0.158697 | − | 0.0817235i | ||||
\(484\) | 5.06945 | − | 16.9061i | 0.230430 | − | 0.768460i | ||||
\(485\) | 22.2040i | 1.00823i | ||||||||
\(486\) | −7.07950 | + | 6.78087i | −0.321133 | + | 0.307587i | ||||
\(487\) | −30.7746 | −1.39453 | −0.697265 | − | 0.716813i | \(-0.745600\pi\) | ||||
−0.697265 | + | 0.716813i | \(0.745600\pi\) | |||||||
\(488\) | − | 21.0430i | − | 0.952572i | ||||||
\(489\) | 25.3143 | + | 13.0359i | 1.14475 | + | 0.589506i | ||||
\(490\) | 0.880226i | 0.0397646i | ||||||||
\(491\) | −18.5678 | −0.837954 | −0.418977 | − | 0.907997i | \(-0.637611\pi\) | ||||
−0.418977 | + | 0.907997i | \(0.637611\pi\) | |||||||
\(492\) | 15.9865 | + | 8.23246i | 0.720725 | + | 0.371148i | ||||
\(493\) | −16.6999 | −0.752128 | ||||||||
\(494\) | −17.3504 | −0.780633 | ||||||||
\(495\) | −13.2573 | − | 4.26655i | −0.595869 | − | 0.191767i | ||||
\(496\) | −4.43645 | −0.199203 | ||||||||
\(497\) | 9.34832 | 0.419330 | ||||||||
\(498\) | −5.46350 | − | 2.81351i | −0.244825 | − | 0.126076i | ||||
\(499\) | −18.1861 | −0.814123 | −0.407061 | − | 0.913401i | \(-0.633446\pi\) | ||||
−0.407061 | + | 0.913401i | \(0.633446\pi\) | |||||||
\(500\) | − | 18.0586i | − | 0.807606i | ||||||
\(501\) | 9.47229 | + | 4.87789i | 0.423191 | + | 0.217928i | ||||
\(502\) | − | 1.41370i | − | 0.0630966i | ||||||
\(503\) | −8.70284 | −0.388040 | −0.194020 | − | 0.980998i | \(-0.562153\pi\) | ||||
−0.194020 | + | 0.980998i | \(0.562153\pi\) | |||||||
\(504\) | 5.53579 | − | 3.94956i | 0.246584 | − | 0.175927i | ||||
\(505\) | 0.429025i | 0.0190914i | ||||||||
\(506\) | 3.78989 | − | 2.82017i | 0.168481 | − | 0.125372i | ||||
\(507\) | 20.3572 | + | 10.4832i | 0.904096 | + | 0.465577i | ||||
\(508\) | 27.8598i | 1.23608i | ||||||||
\(509\) | 3.53507i | 0.156689i | 0.996926 | + | 0.0783446i | \(0.0249634\pi\) | ||||
−0.996926 | + | 0.0783446i | \(0.975037\pi\) | |||||||
\(510\) | −5.49064 | + | 10.6622i | −0.243129 | + | 0.472129i | ||||
\(511\) | −9.47864 | −0.419310 | ||||||||
\(512\) | −18.1722 | −0.803105 | ||||||||
\(513\) | 27.7070 | − | 4.02198i | 1.22329 | − | 0.177575i | ||||
\(514\) | 1.38944i | 0.0612857i | ||||||||
\(515\) | − | 1.58843i | − | 0.0699947i | ||||||
\(516\) | −5.46724 | + | 10.6167i | −0.240682 | + | 0.467375i | ||||
\(517\) | −18.0016 | + | 13.3955i | −0.791708 | + | 0.589135i | ||||
\(518\) | 0.824451i | 0.0362243i | ||||||||
\(519\) | 15.6207 | + | 8.04408i | 0.685670 | + | 0.353096i | ||||
\(520\) | 16.2465 | 0.712456 | ||||||||
\(521\) | − | 9.80310i | − | 0.429482i | −0.976671 | − | 0.214741i | \(-0.931109\pi\) | ||
0.976671 | − | 0.214741i | \(-0.0688907\pi\) | |||||||
\(522\) | 2.32620 | + | 3.26045i | 0.101815 | + | 0.142706i | ||||
\(523\) | − | 11.4083i | − | 0.498848i | −0.968394 | − | 0.249424i | \(-0.919759\pi\) | ||
0.968394 | − | 0.249424i | \(-0.0802413\pi\) | |||||||
\(524\) | 5.07751 | 0.221812 | ||||||||
\(525\) | −2.41130 | + | 4.68247i | −0.105238 | + | 0.204360i | ||||
\(526\) | −14.1887 | −0.618657 | ||||||||
\(527\) | −19.5666 | −0.852333 | ||||||||
\(528\) | −1.67468 | − | 10.1080i | −0.0728812 | − | 0.439896i | ||||
\(529\) | 17.8700 | 0.776955 | ||||||||
\(530\) | 6.85838 | 0.297909 | ||||||||
\(531\) | 36.3235 | − | 25.9153i | 1.57631 | − | 1.12463i | ||||
\(532\) | −8.64535 | −0.374824 | ||||||||
\(533\) | − | 33.1314i | − | 1.43508i | ||||||
\(534\) | −1.89828 | + | 3.68623i | −0.0821465 | + | 0.159519i | ||||
\(535\) | 10.4683i | 0.452583i | ||||||||
\(536\) | 21.7670 | 0.940190 | ||||||||
\(537\) | −7.83871 | + | 15.2219i | −0.338265 | + | 0.656871i | ||||
\(538\) | 2.38668i | 0.102897i | ||||||||
\(539\) | −1.97997 | − | 2.66078i | −0.0852832 | − | 0.114608i | ||||
\(540\) | −11.5488 | + | 1.67644i | −0.496982 | + | 0.0721426i | ||||
\(541\) | 40.4431i | 1.73878i | 0.494123 | + | 0.869392i | \(0.335489\pi\) | ||||
−0.494123 | + | 0.869392i | \(0.664511\pi\) | |||||||
\(542\) | 8.47835i | 0.364176i | ||||||||
\(543\) | −4.19651 | − | 2.16105i | −0.180090 | − | 0.0927397i | ||||
\(544\) | −44.4849 | −1.90727 | ||||||||
\(545\) | −16.4138 | −0.703089 | ||||||||
\(546\) | −4.95859 | − | 2.55350i | −0.212208 | − | 0.109280i | ||||
\(547\) | − | 24.9225i | − | 1.06561i | −0.846239 | − | 0.532804i | \(-0.821138\pi\) | ||
0.846239 | − | 0.532804i | \(-0.178862\pi\) | |||||||
\(548\) | − | 9.03555i | − | 0.385979i | ||||||
\(549\) | 22.6712 | − | 16.1750i | 0.967584 | − | 0.690331i | ||||
\(550\) | −3.78623 | − | 5.08812i | −0.161445 | − | 0.216958i | ||||
\(551\) | − | 11.4388i | − | 0.487311i | ||||||
\(552\) | 4.07124 | − | 7.90587i | 0.173283 | − | 0.336496i | ||||
\(553\) | −2.26153 | −0.0961701 | ||||||||
\(554\) | − | 0.0456022i | − | 0.00193745i | ||||||
\(555\) | 1.45514 | − | 2.82570i | 0.0617671 | − | 0.119944i | ||||
\(556\) | 3.20055i | 0.135734i | ||||||||
\(557\) | −15.4996 | −0.656739 | −0.328369 | − | 0.944549i | \(-0.606499\pi\) | ||||
−0.328369 | + | 0.944549i | \(0.606499\pi\) | |||||||
\(558\) | 2.72550 | + | 3.82012i | 0.115380 | + | 0.161719i | ||||
\(559\) | 22.0028 | 0.930618 | ||||||||
\(560\) | 2.49647 | 0.105495 | ||||||||
\(561\) | −7.38603 | − | 44.5805i | −0.311839 | − | 1.88219i | ||||
\(562\) | −6.38076 | −0.269156 | ||||||||
\(563\) | −26.6916 | −1.12492 | −0.562459 | − | 0.826825i | \(-0.690144\pi\) | ||||
−0.562459 | + | 0.826825i | \(0.690144\pi\) | |||||||
\(564\) | −8.60814 | + | 16.7160i | −0.362468 | + | 0.703871i | ||||
\(565\) | 3.03421 | 0.127650 | ||||||||
\(566\) | − | 0.447177i | − | 0.0187963i | ||||||
\(567\) | 8.51031 | + | 2.92824i | 0.357399 | + | 0.122975i | ||||
\(568\) | 21.1904i | 0.889131i | ||||||||
\(569\) | −43.6405 | −1.82951 | −0.914753 | − | 0.404013i | \(-0.867615\pi\) | ||||
−0.914753 | + | 0.404013i | \(0.867615\pi\) | |||||||
\(570\) | −7.30319 | − | 3.76088i | −0.305897 | − | 0.157526i | ||||
\(571\) | − | 32.7971i | − | 1.37252i | −0.727359 | − | 0.686258i | \(-0.759252\pi\) | ||
0.727359 | − | 0.686258i | \(-0.240748\pi\) | |||||||
\(572\) | −21.8612 | + | 16.2676i | −0.914061 | + | 0.680181i | ||||
\(573\) | −4.69064 | + | 9.10866i | −0.195954 | + | 0.380520i | ||||
\(574\) | 4.06892i | 0.169834i | ||||||||
\(575\) | 6.88735i | 0.287222i | ||||||||
\(576\) | −0.0188333 | − | 0.0263971i | −0.000784719 | − | 0.00109988i | ||||
\(577\) | −10.9774 | −0.456994 | −0.228497 | − | 0.973545i | \(-0.573381\pi\) | ||||
−0.228497 | + | 0.973545i | \(0.573381\pi\) | |||||||
\(578\) | −28.2222 | −1.17389 | ||||||||
\(579\) | −17.4425 | + | 33.8713i | −0.724886 | + | 1.40764i | ||||
\(580\) | 4.76794i | 0.197978i | ||||||||
\(581\) | 5.64197i | 0.234068i | ||||||||
\(582\) | 15.3616 | + | 7.91066i | 0.636758 | + | 0.327908i | ||||
\(583\) | −20.7317 | + | 15.4271i | −0.858621 | + | 0.638927i | ||||
\(584\) | − | 21.4858i | − | 0.889090i | ||||||
\(585\) | 12.4881 | + | 17.5036i | 0.516319 | + | 0.723684i | ||||
\(586\) | 3.30102 | 0.136364 | ||||||||
\(587\) | 26.7840i | 1.10549i | 0.833349 | + | 0.552747i | \(0.186420\pi\) | ||||
−0.833349 | + | 0.552747i | \(0.813580\pi\) | |||||||
\(588\) | −2.47076 | − | 1.27235i | −0.101892 | − | 0.0524710i | ||||
\(589\) | − | 13.4024i | − | 0.552235i | ||||||
\(590\) | −13.0921 | −0.538993 | ||||||||
\(591\) | −17.8355 | − | 9.18466i | −0.733655 | − | 0.377806i | ||||
\(592\) | 2.33828 | 0.0961028 | ||||||||
\(593\) | 12.1102 | 0.497308 | 0.248654 | − | 0.968592i | \(-0.420012\pi\) | ||||
0.248654 | + | 0.968592i | \(0.420012\pi\) | |||||||
\(594\) | −7.67495 | + | 7.65181i | −0.314907 | + | 0.313958i | ||||
\(595\) | 11.0104 | 0.451384 | ||||||||
\(596\) | 31.0682 | 1.27260 | ||||||||
\(597\) | 8.24221 | + | 4.24444i | 0.337331 | + | 0.173714i | ||||
\(598\) | −7.29349 | −0.298253 | ||||||||
\(599\) | 23.1293i | 0.945036i | 0.881321 | + | 0.472518i | \(0.156655\pi\) | ||||
−0.881321 | + | 0.472518i | \(0.843345\pi\) | |||||||
\(600\) | −10.6140 | − | 5.46585i | −0.433316 | − | 0.223142i | ||||
\(601\) | 8.96690i | 0.365768i | 0.983135 | + | 0.182884i | \(0.0585432\pi\) | ||||
−0.983135 | + | 0.182884i | \(0.941457\pi\) | |||||||
\(602\) | −2.70220 | −0.110134 | ||||||||
\(603\) | 16.7315 | + | 23.4512i | 0.681358 | + | 0.955006i | ||||
\(604\) | − | 2.44010i | − | 0.0992861i | ||||||
\(605\) | −14.7480 | − | 4.42232i | −0.599591 | − | 0.179793i | ||||
\(606\) | 0.296816 | + | 0.152850i | 0.0120573 | + | 0.00620909i | ||||
\(607\) | 14.0694i | 0.571058i | 0.958370 | + | 0.285529i | \(0.0921693\pi\) | ||||
−0.958370 | + | 0.285529i | \(0.907831\pi\) | |||||||
\(608\) | − | 30.4705i | − | 1.23574i | ||||||
\(609\) | 1.68348 | − | 3.26911i | 0.0682179 | − | 0.132471i | ||||
\(610\) | −8.17138 | −0.330850 | ||||||||
\(611\) | 34.6433 | 1.40152 | ||||||||
\(612\) | −21.9917 | − | 30.8240i | −0.888960 | − | 1.24599i | ||||
\(613\) | 13.7427i | 0.555061i | 0.960717 | + | 0.277531i | \(0.0895160\pi\) | ||||
−0.960717 | + | 0.277531i | \(0.910484\pi\) | |||||||
\(614\) | 5.74090i | 0.231684i | ||||||||
\(615\) | 7.18156 | − | 13.9457i | 0.289588 | − | 0.562346i | ||||
\(616\) | 6.03135 | − | 4.48811i | 0.243010 | − | 0.180831i | ||||
\(617\) | − | 31.2137i | − | 1.25661i | −0.777965 | − | 0.628307i | \(-0.783748\pi\) | ||
0.777965 | − | 0.628307i | \(-0.216252\pi\) | |||||||
\(618\) | −1.09894 | − | 0.565914i | −0.0442058 | − | 0.0227644i | ||||
\(619\) | −17.3133 | −0.695880 | −0.347940 | − | 0.937517i | \(-0.613119\pi\) | ||||
−0.347940 | + | 0.937517i | \(0.613119\pi\) | |||||||
\(620\) | 5.58638i | 0.224354i | ||||||||
\(621\) | 11.6470 | − | 1.69069i | 0.467378 | − | 0.0678452i | ||||
\(622\) | − | 17.1784i | − | 0.688792i | ||||||
\(623\) | 3.80664 | 0.152510 | ||||||||
\(624\) | −7.24215 | + | 14.0634i | −0.289918 | + | 0.562986i | ||||
\(625\) | −0.549248 | −0.0219699 | ||||||||
\(626\) | 11.2021 | 0.447726 | ||||||||
\(627\) | 30.5360 | − | 5.05916i | 1.21949 | − | 0.202043i | ||||
\(628\) | 25.3879 | 1.01309 | ||||||||
\(629\) | 10.3128 | 0.411197 | ||||||||
\(630\) | −1.53369 | − | 2.14965i | −0.0611035 | − | 0.0856440i | ||||
\(631\) | −26.3186 | −1.04773 | −0.523863 | − | 0.851803i | \(-0.675510\pi\) | ||||
−0.523863 | + | 0.851803i | \(0.675510\pi\) | |||||||
\(632\) | − | 5.12635i | − | 0.203915i | ||||||
\(633\) | 8.48776 | − | 16.4822i | 0.337358 | − | 0.655110i | ||||
\(634\) | − | 2.72829i | − | 0.108354i | ||||||
\(635\) | 24.3034 | 0.964451 | ||||||||
\(636\) | −9.91368 | + | 19.2512i | −0.393103 | + | 0.763360i | ||||
\(637\) | 5.12056i | 0.202884i | ||||||||
\(638\) | 2.64340 | + | 3.55233i | 0.104653 | + | 0.140638i | ||||
\(639\) | −22.8301 | + | 16.2883i | −0.903143 | + | 0.644355i | ||||
\(640\) | 15.8406i | 0.626155i | ||||||||
\(641\) | 4.98595i | 0.196933i | 0.995140 | + | 0.0984665i | \(0.0313937\pi\) | ||||
−0.995140 | + | 0.0984665i | \(0.968606\pi\) | |||||||
\(642\) | 7.24235 | + | 3.72955i | 0.285833 | + | 0.147194i | ||||
\(643\) | 13.3724 | 0.527355 | 0.263678 | − | 0.964611i | \(-0.415064\pi\) | ||||
0.263678 | + | 0.964611i | \(0.415064\pi\) | |||||||
\(644\) | −3.63419 | −0.143207 | ||||||||
\(645\) | 9.26147 | + | 4.76933i | 0.364670 | + | 0.187792i | ||||
\(646\) | − | 26.6539i | − | 1.04868i | ||||||
\(647\) | − | 39.6125i | − | 1.55733i | −0.627441 | − | 0.778664i | \(-0.715897\pi\) | ||
0.627441 | − | 0.778664i | \(-0.284103\pi\) | |||||||
\(648\) | −6.63763 | + | 19.2909i | −0.260751 | + | 0.757816i | ||||
\(649\) | 39.5752 | − | 29.4491i | 1.55346 | − | 1.15598i | ||||
\(650\) | 9.79189i | 0.384070i | ||||||||
\(651\) | 1.97245 | − | 3.83027i | 0.0773065 | − | 0.150120i | ||||
\(652\) | 26.3773 | 1.03301 | ||||||||
\(653\) | − | 3.15327i | − | 0.123397i | −0.998095 | − | 0.0616985i | \(-0.980348\pi\) | ||
0.998095 | − | 0.0616985i | \(-0.0196517\pi\) | |||||||
\(654\) | −5.84777 | + | 11.3557i | −0.228666 | + | 0.444042i | ||||
\(655\) | − | 4.42935i | − | 0.173069i | ||||||
\(656\) | 11.5402 | 0.450567 | ||||||||
\(657\) | 23.1483 | − | 16.5154i | 0.903101 | − | 0.644326i | ||||
\(658\) | −4.25461 | −0.165862 | ||||||||
\(659\) | −3.35808 | −0.130812 | −0.0654060 | − | 0.997859i | \(-0.520834\pi\) | ||||
−0.0654060 | + | 0.997859i | \(0.520834\pi\) | |||||||
\(660\) | −12.7280 | + | 2.10876i | −0.495437 | + | 0.0820833i | ||||
\(661\) | 49.9542 | 1.94299 | 0.971496 | − | 0.237056i | \(-0.0761824\pi\) | ||||
0.971496 | + | 0.237056i | \(0.0761824\pi\) | |||||||
\(662\) | 16.0517 | 0.623867 | ||||||||
\(663\) | −31.9408 | + | 62.0253i | −1.24048 | + | 2.40886i | ||||
\(664\) | −12.7890 | −0.496309 | ||||||||
\(665\) | 7.54175i | 0.292456i | ||||||||
\(666\) | −1.43650 | − | 2.01344i | −0.0556634 | − | 0.0780191i | ||||
\(667\) | − | 4.80847i | − | 0.186185i | ||||||
\(668\) | 9.87005 | 0.381884 | ||||||||
\(669\) | 3.40219 | + | 1.75201i | 0.131536 | + | 0.0677365i | ||||
\(670\) | − | 8.45251i | − | 0.326549i | ||||||
\(671\) | 24.7007 | − | 18.3806i | 0.953561 | − | 0.709575i | ||||
\(672\) | 4.48440 | − | 8.70818i | 0.172989 | − | 0.335925i | ||||
\(673\) | − | 43.2951i | − | 1.66890i | −0.551082 | − | 0.834451i | \(-0.685785\pi\) | ||
0.551082 | − | 0.834451i | \(-0.314215\pi\) | |||||||
\(674\) | 6.11554i | 0.235562i | ||||||||
\(675\) | −2.26985 | − | 15.6367i | −0.0873664 | − | 0.601857i | ||||
\(676\) | 21.2121 | 0.815849 | ||||||||
\(677\) | −51.5345 | −1.98063 | −0.990316 | − | 0.138829i | \(-0.955666\pi\) | ||||
−0.990316 | + | 0.138829i | \(0.955666\pi\) | |||||||
\(678\) | 1.08100 | − | 2.09918i | 0.0415157 | − | 0.0806186i | ||||
\(679\) | − | 15.8634i | − | 0.608780i | ||||||
\(680\) | 24.9581i | 0.957098i | ||||||||
\(681\) | 15.2497 | + | 7.85307i | 0.584371 | + | 0.300930i | ||||
\(682\) | 3.09715 | + | 4.16210i | 0.118596 | + | 0.159375i | ||||
\(683\) | 39.8186i | 1.52362i | 0.647803 | + | 0.761808i | \(0.275688\pi\) | ||||
−0.647803 | + | 0.761808i | \(0.724312\pi\) | |||||||
\(684\) | 21.1133 | − | 15.0635i | 0.807287 | − | 0.575966i | ||||
\(685\) | −7.88213 | −0.301161 | ||||||||
\(686\) | − | 0.628865i | − | 0.0240102i | ||||||
\(687\) | 13.5947 | + | 7.00080i | 0.518671 | + | 0.267097i | ||||
\(688\) | 7.66390i | 0.292184i | ||||||||
\(689\) | 39.8974 | 1.51997 | ||||||||
\(690\) | −3.06999 | − | 1.58094i | −0.116873 | − | 0.0601853i | ||||
\(691\) | 12.7423 | 0.484741 | 0.242370 | − | 0.970184i | \(-0.422075\pi\) | ||||
0.242370 | + | 0.970184i | \(0.422075\pi\) | |||||||
\(692\) | 16.2766 | 0.618743 | ||||||||
\(693\) | 9.47146 | + | 3.04818i | 0.359791 | + | 0.115791i | ||||
\(694\) | −12.8623 | −0.488248 | ||||||||
\(695\) | 2.79199 | 0.105906 | ||||||||
\(696\) | 7.41030 | + | 3.81604i | 0.280887 | + | 0.144647i | ||||
\(697\) | 50.8968 | 1.92785 | ||||||||
\(698\) | 10.8286i | 0.409868i | ||||||||
\(699\) | 5.41010 | + | 2.78601i | 0.204629 | + | 0.105377i | ||||
\(700\) | 4.87909i | 0.184412i | ||||||||
\(701\) | −9.93928 | −0.375402 | −0.187701 | − | 0.982226i | \(-0.560104\pi\) | ||||
−0.187701 | + | 0.982226i | \(0.560104\pi\) | |||||||
\(702\) | 16.5588 | − | 2.40370i | 0.624971 | − | 0.0907217i | ||||
\(703\) | 7.06387i | 0.266419i | ||||||||
\(704\) | −0.0214013 | − | 0.0287602i | −0.000806594 | − | 0.00108394i | ||||
\(705\) | 14.5821 | + | 7.50929i | 0.549195 | + | 0.282816i | ||||
\(706\) | − | 7.73235i | − | 0.291011i | ||||||
\(707\) | − | 0.306511i | − | 0.0115275i | ||||||
\(708\) | 18.9244 | − | 36.7490i | 0.711223 | − | 1.38111i | ||||
\(709\) | 32.0156 | 1.20237 | 0.601186 | − | 0.799109i | \(-0.294695\pi\) | ||||
0.601186 | + | 0.799109i | \(0.294695\pi\) | |||||||
\(710\) | 8.22864 | 0.308815 | ||||||||
\(711\) | 5.52301 | − | 3.94044i | 0.207129 | − | 0.147778i | ||||
\(712\) | 8.62875i | 0.323376i | ||||||||
\(713\) | − | 5.63387i | − | 0.210990i | ||||||
\(714\) | 3.92271 | − | 7.61744i | 0.146804 | − | 0.285075i | ||||
\(715\) | 14.1910 | + | 19.0705i | 0.530712 | + | 0.713197i | ||||
\(716\) | 15.8610i | 0.592755i | ||||||||
\(717\) | 39.7289 | + | 20.4590i | 1.48370 | + | 0.764054i | ||||
\(718\) | −10.7359 | −0.400660 | ||||||||
\(719\) | − | 15.3992i | − | 0.574292i | −0.957887 | − | 0.287146i | \(-0.907293\pi\) | ||
0.957887 | − | 0.287146i | \(-0.0927065\pi\) | |||||||
\(720\) | −6.09677 | + | 4.34979i | −0.227213 | + | 0.162107i | ||||
\(721\) | 1.13483i | 0.0422634i | ||||||||
\(722\) | 6.30852 | 0.234779 | ||||||||
\(723\) | 9.99334 | − | 19.4059i | 0.371656 | − | 0.721712i | ||||
\(724\) | −4.37273 | −0.162511 | ||||||||
\(725\) | −6.45563 | −0.239756 | ||||||||
\(726\) | −8.31382 | + | 8.62767i | −0.308555 | + | 0.320203i | ||||
\(727\) | −50.7874 | −1.88360 | −0.941801 | − | 0.336171i | \(-0.890868\pi\) | ||||
−0.941801 | + | 0.336171i | \(0.890868\pi\) | |||||||
\(728\) | −11.6071 | −0.430187 | ||||||||
\(729\) | −25.8856 | + | 7.67695i | −0.958726 | + | 0.284331i | ||||
\(730\) | −8.34334 | −0.308801 | ||||||||
\(731\) | 33.8009i | 1.25017i | ||||||||
\(732\) | 11.8116 | − | 22.9368i | 0.436570 | − | 0.847767i | ||||
\(733\) | 29.6659i | 1.09573i | 0.836566 | + | 0.547867i | \(0.184560\pi\) | ||||
−0.836566 | + | 0.547867i | \(0.815440\pi\) | |||||||
\(734\) | −16.3010 | −0.601680 | ||||||||
\(735\) | −1.10993 | + | 2.15536i | −0.0409405 | + | 0.0795016i | ||||
\(736\) | − | 12.8087i | − | 0.472134i | ||||||
\(737\) | 19.0130 | + | 25.5505i | 0.700351 | + | 0.941166i | ||||
\(738\) | −7.08960 | − | 9.93694i | −0.260972 | − | 0.365784i | ||||
\(739\) | 9.64470i | 0.354786i | 0.984140 | + | 0.177393i | \(0.0567664\pi\) | ||||
−0.984140 | + | 0.177393i | \(0.943234\pi\) | |||||||
\(740\) | − | 2.94436i | − | 0.108237i | ||||||
\(741\) | −42.4850 | − | 21.8783i | −1.56073 | − | 0.803718i | ||||
\(742\) | −4.89988 | −0.179880 | ||||||||
\(743\) | 27.6201 | 1.01328 | 0.506641 | − | 0.862157i | \(-0.330887\pi\) | ||||
0.506641 | + | 0.862157i | \(0.330887\pi\) | |||||||
\(744\) | 8.68231 | + | 4.47108i | 0.318309 | + | 0.163918i | ||||
\(745\) | − | 27.1022i | − | 0.992948i | ||||||
\(746\) | 3.94786i | 0.144541i | ||||||||
\(747\) | −9.83043 | − | 13.7786i | −0.359677 | − | 0.504131i | ||||
\(748\) | −24.9904 | − | 33.5834i | −0.913740 | − | 1.22793i | ||||
\(749\) | − | 7.47891i | − | 0.273274i | ||||||
\(750\) | −5.61248 | + | 10.8988i | −0.204939 | + | 0.397967i | ||||
\(751\) | 48.0476 | 1.75328 | 0.876642 | − | 0.481144i | \(-0.159779\pi\) | ||||
0.876642 | + | 0.481144i | \(0.159779\pi\) | |||||||
\(752\) | 12.0668i | 0.440030i | ||||||||
\(753\) | 1.78263 | − | 3.46165i | 0.0649626 | − | 0.126150i | ||||
\(754\) | − | 6.83631i | − | 0.248964i | ||||||
\(755\) | −2.12861 | −0.0774680 | ||||||||
\(756\) | 8.25090 | − | 1.19771i | 0.300082 | − | 0.0435603i | ||||
\(757\) | −8.06808 | −0.293239 | −0.146620 | − | 0.989193i | \(-0.546839\pi\) | ||||
−0.146620 | + | 0.989193i | \(0.546839\pi\) | |||||||
\(758\) | −2.40075 | −0.0871993 | ||||||||
\(759\) | 12.8362 | − | 2.12669i | 0.465925 | − | 0.0771938i | ||||
\(760\) | −17.0953 | −0.620114 | ||||||||
\(761\) | −30.3643 | −1.10071 | −0.550353 | − | 0.834932i | \(-0.685507\pi\) | ||||
−0.550353 | + | 0.834932i | \(0.685507\pi\) | |||||||
\(762\) | 8.65861 | − | 16.8140i | 0.313668 | − | 0.609107i | ||||
\(763\) | 11.7266 | 0.424532 | ||||||||
\(764\) | 9.49115i | 0.343378i | ||||||||
\(765\) | −26.8892 | + | 19.1843i | −0.972181 | + | 0.693611i | ||||
\(766\) | − | 2.57924i | − | 0.0931916i | ||||||
\(767\) | −76.1609 | −2.75001 | ||||||||
\(768\) | 10.9258 | + | 5.62641i | 0.394252 | + | 0.203026i | ||||
\(769\) | 32.0281i | 1.15496i | 0.816404 | + | 0.577481i | \(0.195964\pi\) | ||||
−0.816404 | + | 0.577481i | \(0.804036\pi\) | |||||||
\(770\) | −1.74282 | − | 2.34208i | −0.0628068 | − | 0.0844029i | ||||
\(771\) | −1.75204 | + | 3.40225i | −0.0630980 | + | 0.122529i | ||||
\(772\) | 35.2936i | 1.27025i | ||||||||
\(773\) | − | 24.5910i | − | 0.884477i | −0.896897 | − | 0.442239i | \(-0.854184\pi\) | ||
0.896897 | − | 0.442239i | \(-0.145816\pi\) | |||||||
\(774\) | 6.59920 | − | 4.70826i | 0.237203 | − | 0.169235i | ||||
\(775\) | −7.56376 | −0.271698 | ||||||||
\(776\) | 35.9585 | 1.29083 | ||||||||
\(777\) | −1.03960 | + | 2.01879i | −0.0372955 | + | 0.0724235i | ||||
\(778\) | 13.2898i | 0.476461i | ||||||||
\(779\) | 34.8624i | 1.24908i | ||||||||
\(780\) | 17.7086 | + | 9.11930i | 0.634070 | + | 0.326523i | ||||
\(781\) | −24.8738 | + | 18.5094i | −0.890054 | + | 0.662317i | ||||
\(782\) | − | 11.2043i | − | 0.400666i | ||||||
\(783\) | 1.58472 | + | 10.9169i | 0.0566332 | + | 0.390139i | ||||
\(784\) | −1.78357 | −0.0636989 | ||||||||
\(785\) | − | 22.1470i | − | 0.790461i | ||||||
\(786\) | −3.06439 | − | 1.57805i | −0.109303 | − | 0.0562873i | ||||
\(787\) | − | 0.407568i | − | 0.0145282i | −0.999974 | − | 0.00726411i | \(-0.997688\pi\) | ||
0.999974 | − | 0.00726411i | \(-0.00231226\pi\) | |||||||
\(788\) | −18.5845 | −0.662044 | ||||||||
\(789\) | −34.7431 | − | 17.8915i | −1.23689 | − | 0.636953i | ||||
\(790\) | −1.99066 | −0.0708244 | ||||||||
\(791\) | −2.16775 | −0.0770764 | ||||||||
\(792\) | −6.90950 | + | 21.4696i | −0.245519 | + | 0.762888i | ||||
\(793\) | −47.5356 | −1.68804 | ||||||||
\(794\) | 1.26281 | 0.0448155 | ||||||||
\(795\) | 16.7937 | + | 8.64817i | 0.595612 | + | 0.306719i | ||||
\(796\) | 8.58832 | 0.304405 | ||||||||
\(797\) | − | 47.3952i | − | 1.67882i | −0.543496 | − | 0.839412i | \(-0.682900\pi\) | ||
0.543496 | − | 0.839412i | \(-0.317100\pi\) | |||||||
\(798\) | 5.21766 | + | 2.68691i | 0.184703 | + | 0.0951156i | ||||
\(799\) | 53.2194i | 1.88277i | ||||||||
\(800\) | −17.1963 | −0.607982 | ||||||||
\(801\) | −9.29640 | + | 6.63260i | −0.328472 | + | 0.234351i | ||||
\(802\) | 4.83051i | 0.170571i | ||||||||
\(803\) | 25.2205 | − | 18.7674i | 0.890014 | − | 0.662287i | ||||
\(804\) | 23.7259 | + | 12.2180i | 0.836747 | + | 0.430895i | ||||
\(805\) | 3.17027i | 0.111737i | ||||||||
\(806\) | − | 8.00979i | − | 0.282133i | ||||||
\(807\) | −3.00952 | + | 5.84413i | −0.105940 | + | 0.205723i | ||||
\(808\) | 0.694788 | 0.0244426 | ||||||||
\(809\) | −10.9905 | −0.386404 | −0.193202 | − | 0.981159i | \(-0.561887\pi\) | ||||
−0.193202 | + | 0.981159i | \(0.561887\pi\) | |||||||
\(810\) | 7.49100 | + | 2.57752i | 0.263207 | + | 0.0905647i | ||||
\(811\) | − | 14.8192i | − | 0.520371i | −0.965559 | − | 0.260186i | \(-0.916216\pi\) | ||
0.965559 | − | 0.260186i | \(-0.0837838\pi\) | |||||||
\(812\) | − | 3.40639i | − | 0.119541i | ||||||
\(813\) | −10.6909 | + | 20.7604i | −0.374946 | + | 0.728101i | ||||
\(814\) | −1.63238 | − | 2.19368i | −0.0572151 | − | 0.0768884i | ||||
\(815\) | − | 23.0101i | − | 0.806009i | ||||||
\(816\) | −21.6043 | − | 11.1255i | −0.756303 | − | 0.389469i | ||||
\(817\) | −23.1524 | −0.809999 | ||||||||
\(818\) | − | 14.0241i | − | 0.490340i | ||||||
\(819\) | −8.92194 | − | 12.5052i | −0.311758 | − | 0.436967i | ||||
\(820\) | − | 14.5313i | − | 0.507457i | ||||||
\(821\) | −7.81630 | −0.272791 | −0.136395 | − | 0.990654i | \(-0.543552\pi\) | ||||
−0.136395 | + | 0.990654i | \(0.543552\pi\) | |||||||
\(822\) | −2.80818 | + | 5.45315i | −0.0979465 | + | 0.190201i | ||||
\(823\) | 37.5890 | 1.31027 | 0.655135 | − | 0.755512i | \(-0.272612\pi\) | ||||
0.655135 | + | 0.755512i | \(0.272612\pi\) | |||||||
\(824\) | −2.57240 | −0.0896138 | ||||||||
\(825\) | −2.85519 | − | 17.2333i | −0.0994048 | − | 0.599986i | ||||
\(826\) | 9.35346 | 0.325449 | ||||||||
\(827\) | −19.5391 | −0.679440 | −0.339720 | − | 0.940527i | \(-0.610332\pi\) | ||||
−0.339720 | + | 0.940527i | \(0.610332\pi\) | |||||||
\(828\) | 8.87526 | − | 6.33213i | 0.308437 | − | 0.220057i | ||||
\(829\) | −29.5391 | −1.02593 | −0.512967 | − | 0.858408i | \(-0.671454\pi\) | ||||
−0.512967 | + | 0.858408i | \(0.671454\pi\) | |||||||
\(830\) | 4.96620i | 0.172379i | ||||||||
\(831\) | 0.0575027 | − | 0.111663i | 0.00199475 | − | 0.00387356i | ||||
\(832\) | 0.0553478i | 0.00191884i | ||||||||
\(833\) | −7.86626 | −0.272550 | ||||||||
\(834\) | 0.994708 | − | 1.93161i | 0.0344439 | − | 0.0668860i | ||||
\(835\) | − | 8.61011i | − | 0.297965i | ||||||
\(836\) | 23.0034 | − | 17.1175i | 0.795588 | − | 0.592022i | ||||
\(837\) | 1.85674 | + | 12.7909i | 0.0641783 | + | 0.442117i | ||||
\(838\) | − | 10.4541i | − | 0.361129i | ||||||
\(839\) | − | 38.3305i | − | 1.32332i | −0.749805 | − | 0.661659i | \(-0.769853\pi\) | ||
0.749805 | − | 0.661659i | \(-0.230147\pi\) | |||||||
\(840\) | −4.88569 | − | 2.51595i | −0.168572 | − | 0.0868087i | ||||
\(841\) | −24.4929 | −0.844584 | ||||||||
\(842\) | −8.20462 | −0.282750 | ||||||||
\(843\) | −15.6242 | − | 8.04591i | −0.538126 | − | 0.277116i | ||||
\(844\) | − | 17.1744i | − | 0.591166i | ||||||
\(845\) | − | 18.5043i | − | 0.636566i | ||||||
\(846\) | 10.3904 | − | 7.41313i | 0.357230 | − | 0.254869i | ||||
\(847\) | 10.5365 | + | 3.15947i | 0.362038 | + | 0.108561i | ||||
\(848\) | 13.8969i | 0.477221i | ||||||||
\(849\) | 0.563874 | − | 1.09498i | 0.0193521 | − | 0.0375795i | ||||
\(850\) | −15.0424 | −0.515950 | ||||||||
\(851\) | 2.96939i | 0.101789i | ||||||||
\(852\) | −11.8944 | + | 23.0975i | −0.407494 | + | 0.791306i | ||||
\(853\) | − | 31.0549i | − | 1.06330i | −0.846964 | − | 0.531651i | \(-0.821572\pi\) | ||
0.846964 | − | 0.531651i | \(-0.178428\pi\) | |||||||
\(854\) | 5.83793 | 0.199770 | ||||||||
\(855\) | −13.1406 | − | 18.4181i | −0.449398 | − | 0.629886i | ||||
\(856\) | 16.9529 | 0.579439 | ||||||||
\(857\) | −55.5681 | −1.89817 | −0.949086 | − | 0.315018i | \(-0.897990\pi\) | ||||
−0.949086 | + | 0.315018i | \(0.897990\pi\) | |||||||
\(858\) | 18.2495 | − | 3.02356i | 0.623029 | − | 0.103222i | ||||
\(859\) | 1.65947 | 0.0566205 | 0.0283102 | − | 0.999599i | \(-0.490987\pi\) | ||||
0.0283102 | + | 0.999599i | \(0.490987\pi\) | |||||||
\(860\) | 9.65037 | 0.329075 | ||||||||
\(861\) | −5.13077 | + | 9.96334i | −0.174856 | + | 0.339550i | ||||
\(862\) | −3.98347 | −0.135678 | ||||||||
\(863\) | − | 45.7736i | − | 1.55815i | −0.626930 | − | 0.779075i | \(-0.715689\pi\) | ||
0.626930 | − | 0.779075i | \(-0.284311\pi\) | |||||||
\(864\) | 4.22133 | + | 29.0802i | 0.143612 | + | 0.989330i | ||||
\(865\) | − | 14.1988i | − | 0.482775i | ||||||
\(866\) | −6.43025 | −0.218509 | ||||||||
\(867\) | −69.1062 | − | 35.5872i | −2.34697 | − | 1.20861i | ||||
\(868\) | − | 3.99111i | − | 0.135467i | ||||||
\(869\) | 6.01743 | − | 4.47775i | 0.204127 | − | 0.151897i | ||||
\(870\) | 1.48184 | − | 2.87756i | 0.0502391 | − | 0.0975584i | ||||
\(871\) | − | 49.1710i | − | 1.66610i | ||||||
\(872\) | 26.5814i | 0.900161i | ||||||||
\(873\) | 27.6399 | + | 38.7408i | 0.935471 | + | 1.31118i | ||||
\(874\) | 7.67456 | 0.259596 | ||||||||
\(875\) | 11.2548 | 0.380481 | ||||||||
\(876\) | 12.0602 | − | 23.4194i | 0.407476 | − | 0.791269i | ||||
\(877\) | 49.7260i | 1.67913i | 0.543261 | + | 0.839564i | \(0.317190\pi\) | ||||
−0.543261 | + | 0.839564i | \(0.682810\pi\) | |||||||
\(878\) | 8.55114i | 0.288587i | ||||||||
\(879\) | 8.08301 | + | 4.16246i | 0.272633 | + | 0.140396i | ||||
\(880\) | −6.64255 | + | 4.94293i | −0.223920 | + | 0.166626i | ||||
\(881\) | 37.6862i | 1.26968i | 0.772644 | + | 0.634840i | \(0.218934\pi\) | ||||
−0.772644 | + | 0.634840i | \(0.781066\pi\) | |||||||
\(882\) | 1.09572 | + | 1.53579i | 0.0368948 | + | 0.0517126i | ||||
\(883\) | 40.5420 | 1.36435 | 0.682174 | − | 0.731190i | \(-0.261035\pi\) | ||||
0.682174 | + | 0.731190i | \(0.261035\pi\) | |||||||
\(884\) | 64.6298i | 2.17374i | ||||||||
\(885\) | −32.0578 | − | 16.5086i | −1.07761 | − | 0.554932i | ||||
\(886\) | 23.5248i | 0.790331i | ||||||||
\(887\) | 30.9079 | 1.03779 | 0.518893 | − | 0.854839i | \(-0.326344\pi\) | ||||
0.518893 | + | 0.854839i | \(0.326344\pi\) | |||||||
\(888\) | −4.57611 | − | 2.35653i | −0.153564 | − | 0.0790800i | ||||
\(889\) | −17.3632 | −0.582344 | ||||||||
\(890\) | 3.35070 | 0.112316 | ||||||||
\(891\) | −28.4419 | + | 9.05873i | −0.952838 | + | 0.303479i | ||||
\(892\) | 3.54506 | 0.118697 | ||||||||
\(893\) | −36.4533 | −1.21986 | ||||||||
\(894\) | −18.7503 | − | 9.65575i | −0.627105 | − | 0.322937i | ||||
\(895\) | 13.8363 | 0.462498 | ||||||||
\(896\) | − | 11.3171i | − | 0.378078i | ||||||
\(897\) | −17.8591 | − | 9.19683i | −0.596300 | − | 0.307073i | ||||
\(898\) | 13.3490i | 0.445463i | ||||||||
\(899\) | 5.28072 | 0.176122 | ||||||||
\(900\) | −8.50122 | − | 11.9155i | −0.283374 | − | 0.397183i | ||||
\(901\) | 61.2909i | 2.04189i | ||||||||
\(902\) | −8.05633 | − | 10.8265i | −0.268247 | − | 0.360483i | ||||
\(903\) | −6.61673 | − | 3.40738i | −0.220191 | − | 0.113390i | ||||
\(904\) | − | 4.91378i | − | 0.163430i | ||||||
\(905\) | 3.81454i | 0.126800i | ||||||||
\(906\) | −0.758363 | + | 1.47265i | −0.0251949 | + | 0.0489256i | ||||
\(907\) | −9.99470 | −0.331869 | −0.165934 | − | 0.986137i | \(-0.553064\pi\) | ||||
−0.165934 | + | 0.986137i | \(0.553064\pi\) | |||||||
\(908\) | 15.8901 | 0.527331 | ||||||||
\(909\) | 0.534058 | + | 0.748548i | 0.0177136 | + | 0.0248278i | ||||
\(910\) | 4.50725i | 0.149414i | ||||||||
\(911\) | 6.81919i | 0.225930i | 0.993599 | + | 0.112965i | \(0.0360347\pi\) | ||||
−0.993599 | + | 0.112965i | \(0.963965\pi\) | |||||||
\(912\) | 7.62053 | − | 14.7982i | 0.252341 | − | 0.490017i | ||||
\(913\) | −11.1709 | − | 15.0120i | −0.369703 | − | 0.496825i | ||||
\(914\) | 15.9321i | 0.526987i | ||||||||
\(915\) | −20.0088 | − | 10.3038i | −0.661470 | − | 0.340634i | ||||
\(916\) | 14.1656 | 0.468045 | ||||||||
\(917\) | 3.16449i | 0.104501i | ||||||||
\(918\) | 3.69259 | + | 25.4378i | 0.121874 | + | 0.839573i | ||||
\(919\) | 26.6008i | 0.877478i | 0.898614 | + | 0.438739i | \(0.144575\pi\) | ||||
−0.898614 | + | 0.438739i | \(0.855425\pi\) | |||||||
\(920\) | −7.18626 | −0.236924 | ||||||||
\(921\) | −7.23906 | + | 14.0574i | −0.238535 | + | 0.463207i | ||||
\(922\) | 20.6924 | 0.681469 | ||||||||
\(923\) | 47.8686 | 1.57562 | ||||||||
\(924\) | 9.09336 | − | 1.50657i | 0.299149 | − | 0.0495626i | ||||
\(925\) | 3.98656 | 0.131077 | ||||||||
\(926\) | −4.46677 | −0.146787 | ||||||||
\(927\) | −1.97731 | − | 2.77144i | −0.0649433 | − | 0.0910261i | ||||
\(928\) | 12.0058 | 0.394110 | ||||||||
\(929\) | − | 15.9862i | − | 0.524490i | −0.965001 | − | 0.262245i | \(-0.915537\pi\) | ||
0.965001 | − | 0.262245i | \(-0.0844629\pi\) | |||||||
\(930\) | 1.73620 | − | 3.37150i | 0.0569324 | − | 0.110556i | ||||
\(931\) | − | 5.38810i | − | 0.176588i | ||||||
\(932\) | 5.63728 | 0.184655 | ||||||||
\(933\) | 21.6614 | − | 42.0638i | 0.709162 | − | 1.37711i | ||||
\(934\) | 5.19856i | 0.170102i | ||||||||
\(935\) | −29.2963 | + | 21.8003i | −0.958092 | + | 0.712946i | ||||
\(936\) | 28.3463 | − | 20.2239i | 0.926528 | − | 0.661040i | ||||
\(937\) | 12.5427i | 0.409751i | 0.978788 | + | 0.204875i | \(0.0656789\pi\) | ||||
−0.978788 | + | 0.204875i | \(0.934321\pi\) | |||||||
\(938\) | 6.03878i | 0.197173i | ||||||||
\(939\) | 27.4299 | + | 14.1254i | 0.895142 | + | 0.460966i | ||||
\(940\) | 15.1945 | 0.495589 | ||||||||
\(941\) | −42.6383 | −1.38997 | −0.694985 | − | 0.719024i | \(-0.744589\pi\) | ||||
−0.694985 | + | 0.719024i | \(0.744589\pi\) | |||||||
\(942\) | −15.3221 | − | 7.89036i | −0.499222 | − | 0.257082i | ||||
\(943\) | 14.6549i | 0.477229i | ||||||||
\(944\) | − | 26.5280i | − | 0.863413i | ||||||
\(945\) | −1.04482 | − | 7.19764i | −0.0339880 | − | 0.234139i | ||||
\(946\) | 7.18996 | − | 5.35027i | 0.233766 | − | 0.173952i | ||||
\(947\) | − | 14.3923i | − | 0.467685i | −0.972274 | − | 0.233843i | \(-0.924870\pi\) | ||
0.972274 | − | 0.233843i | \(-0.0751301\pi\) | |||||||
\(948\) | 2.87746 | − | 5.58770i | 0.0934557 | − | 0.181480i | ||||
\(949\) | −48.5359 | −1.57554 | ||||||||
\(950\) | − | 10.3035i | − | 0.334290i | ||||||
\(951\) | 3.44028 | − | 6.68062i | 0.111559 | − | 0.216634i | ||||
\(952\) | − | 17.8309i | − | 0.577904i | ||||||
\(953\) | −0.524444 | −0.0169884 | −0.00849421 | − | 0.999964i | \(-0.502704\pi\) | ||||
−0.00849421 | + | 0.999964i | \(0.502704\pi\) | |||||||
\(954\) | 11.9663 | − | 8.53743i | 0.387422 | − | 0.276410i | ||||
\(955\) | 8.27957 | 0.267921 | ||||||||
\(956\) | 41.3972 | 1.33888 | ||||||||
\(957\) | 1.99338 | + | 12.0316i | 0.0644368 | + | 0.388927i | ||||
\(958\) | −13.1274 | −0.424127 | ||||||||
\(959\) | 5.63128 | 0.181844 | ||||||||
\(960\) | −0.0119972 | + | 0.0232972i | −0.000387208 | + | 0.000751912i | ||||
\(961\) | −24.8128 | −0.800414 | ||||||||
\(962\) | 4.22165i | 0.136111i | ||||||||
\(963\) | 13.0311 | + | 18.2647i | 0.419921 | + | 0.588571i | ||||
\(964\) | − | 20.2208i | − | 0.651267i | ||||||
\(965\) | 30.7883 | 0.991110 | ||||||||
\(966\) | 2.19332 | + | 1.12948i | 0.0705688 | + | 0.0363404i | ||||
\(967\) | − | 26.1107i | − | 0.839664i | −0.907602 | − | 0.419832i | \(-0.862089\pi\) | ||
0.907602 | − | 0.419832i | \(-0.137911\pi\) | |||||||
\(968\) | −7.16176 | + | 23.8837i | −0.230188 | + | 0.767653i | ||||
\(969\) | 33.6096 | − | 65.2660i | 1.07970 | − | 2.09664i | ||||
\(970\) | − | 13.9633i | − | 0.448336i | ||||||
\(971\) | 22.9199i | 0.735534i | 0.929918 | + | 0.367767i | \(0.119878\pi\) | ||||
−0.929918 | + | 0.367767i | \(0.880122\pi\) | |||||||
\(972\) | −18.0631 | + | 17.3012i | −0.579374 | + | 0.554935i | ||||
\(973\) | −1.99470 | −0.0639472 | ||||||||
\(974\) | 19.3531 | 0.620113 | ||||||||
\(975\) | −12.3472 | + | 23.9768i | −0.395427 | + | 0.767873i | ||||
\(976\) | − | 16.5574i | − | 0.529988i | ||||||
\(977\) | 32.2825i | 1.03281i | 0.856345 | + | 0.516404i | \(0.172730\pi\) | ||||
−0.856345 | + | 0.516404i | \(0.827270\pi\) | |||||||
\(978\) | −15.9193 | − | 8.19785i | −0.509042 | − | 0.262138i | ||||
\(979\) | −10.1286 | + | 7.53702i | −0.323712 | + | 0.240884i | ||||
\(980\) | 2.24587i | 0.0717416i | ||||||||
\(981\) | −28.6382 | + | 20.4322i | −0.914347 | + | 0.652349i | ||||
\(982\) | 11.6767 | 0.372617 | ||||||||
\(983\) | 31.9474i | 1.01896i | 0.860482 | + | 0.509481i | \(0.170163\pi\) | ||||
−0.860482 | + | 0.509481i | \(0.829837\pi\) | |||||||
\(984\) | −22.5845 | − | 11.6302i | −0.719969 | − | 0.370758i | ||||
\(985\) | 16.2121i | 0.516560i | ||||||||
\(986\) | 10.5020 | 0.334452 | ||||||||
\(987\) | −10.4180 | − | 5.36491i | −0.331609 | − | 0.170767i | ||||
\(988\) | −44.2690 | −1.40839 | ||||||||
\(989\) | −9.73241 | −0.309473 | ||||||||
\(990\) | 8.33703 | + | 2.68309i | 0.264968 | + | 0.0852741i | ||||
\(991\) | 25.0152 | 0.794634 | 0.397317 | − | 0.917681i | \(-0.369941\pi\) | ||||
0.397317 | + | 0.917681i | \(0.369941\pi\) | |||||||
\(992\) | 14.0666 | 0.446616 | ||||||||
\(993\) | 39.3048 | + | 20.2406i | 1.24730 | + | 0.642316i | ||||
\(994\) | −5.87884 | −0.186465 | ||||||||
\(995\) | − | 7.49199i | − | 0.237512i | ||||||
\(996\) | −13.9399 | − | 7.17857i | −0.441704 | − | 0.227462i | ||||
\(997\) | 11.9884i | 0.379676i | 0.981815 | + | 0.189838i | \(0.0607962\pi\) | ||||
−0.981815 | + | 0.189838i | \(0.939204\pi\) | |||||||
\(998\) | 11.4366 | 0.362020 | ||||||||
\(999\) | −0.978615 | − | 6.74157i | −0.0309620 | − | 0.213294i |
(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 | 231.2.g.a.197.11 | ✓ | 24 | |
3.2 | odd | 2 | inner | 231.2.g.a.197.14 | yes | 24 | |
11.10 | odd | 2 | inner | 231.2.g.a.197.13 | yes | 24 | |
33.32 | even | 2 | inner | 231.2.g.a.197.12 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.g.a.197.11 | ✓ | 24 | 1.1 | even | 1 | trivial | |
231.2.g.a.197.12 | yes | 24 | 33.32 | even | 2 | inner | |
231.2.g.a.197.13 | yes | 24 | 11.10 | odd | 2 | inner | |
231.2.g.a.197.14 | yes | 24 | 3.2 | odd | 2 | inner |