Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(32,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.32");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.l (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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 65.11 | ||
Character | \(\chi\) | \(=\) | 231.65 |
Dual form | 231.2.l.b.32.11 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.463987 | + | 0.803650i | −0.328089 | + | 0.568266i | −0.982133 | − | 0.188190i | \(-0.939738\pi\) |
0.654044 | + | 0.756457i | \(0.273071\pi\) | |||||||
\(3\) | −1.71325 | + | 0.254482i | −0.989148 | + | 0.146925i | ||||
\(4\) | 0.569432 | + | 0.986284i | 0.284716 | + | 0.493142i | ||||
\(5\) | −1.53501 | − | 0.886239i | −0.686477 | − | 0.396338i | 0.115814 | − | 0.993271i | \(-0.463052\pi\) |
−0.802291 | + | 0.596933i | \(0.796386\pi\) | |||||||
\(6\) | 0.590414 | − | 1.49493i | 0.241035 | − | 0.610303i | ||||
\(7\) | −2.26798 | − | 1.36244i | −0.857217 | − | 0.514956i | ||||
\(8\) | −2.91279 | −1.02983 | ||||||||
\(9\) | 2.87048 | − | 0.871983i | 0.956826 | − | 0.290661i | ||||
\(10\) | 1.42445 | − | 0.822407i | 0.450451 | − | 0.260068i | ||||
\(11\) | 0.924499 | − | 3.18517i | 0.278747 | − | 0.960365i | ||||
\(12\) | −1.22657 | − | 1.54485i | −0.354081 | − | 0.445959i | ||||
\(13\) | − | 0.151989i | − | 0.0421542i | −0.999778 | − | 0.0210771i | \(-0.993290\pi\) | ||
0.999778 | − | 0.0210771i | \(-0.00670955\pi\) | |||||||
\(14\) | 2.14724 | − | 1.19051i | 0.573875 | − | 0.318176i | ||||
\(15\) | 2.85539 | + | 1.12772i | 0.737259 | + | 0.291176i | ||||
\(16\) | 0.212632 | − | 0.368290i | 0.0531580 | − | 0.0920724i | ||||
\(17\) | −0.598686 | − | 1.03695i | −0.145203 | − | 0.251498i | 0.784246 | − | 0.620450i | \(-0.213050\pi\) |
−0.929449 | + | 0.368952i | \(0.879717\pi\) | |||||||
\(18\) | −0.631096 | + | 2.71145i | −0.148751 | + | 0.639094i | ||||
\(19\) | −4.13286 | − | 2.38611i | −0.948144 | − | 0.547411i | −0.0556399 | − | 0.998451i | \(-0.517720\pi\) |
−0.892504 | + | 0.451040i | \(0.851053\pi\) | |||||||
\(20\) | − | 2.01861i | − | 0.451375i | ||||||
\(21\) | 4.23235 | + | 1.75705i | 0.923574 | + | 0.383421i | ||||
\(22\) | 2.13080 | + | 2.22085i | 0.454289 | + | 0.473487i | ||||
\(23\) | −1.52546 | − | 0.880725i | −0.318080 | − | 0.183644i | 0.332456 | − | 0.943119i | \(-0.392123\pi\) |
−0.650537 | + | 0.759475i | \(0.725456\pi\) | |||||||
\(24\) | 4.99034 | − | 0.741250i | 1.01865 | − | 0.151307i | ||||
\(25\) | −0.929163 | − | 1.60936i | −0.185833 | − | 0.321871i | ||||
\(26\) | 0.122146 | + | 0.0705210i | 0.0239548 | + | 0.0138303i | ||||
\(27\) | −4.69595 | + | 2.22441i | −0.903737 | + | 0.428088i | ||||
\(28\) | 0.0522974 | − | 3.01269i | 0.00988328 | − | 0.569346i | ||||
\(29\) | 5.83464 | 1.08346 | 0.541732 | − | 0.840551i | \(-0.317769\pi\) | ||||
0.541732 | + | 0.840551i | \(0.317769\pi\) | |||||||
\(30\) | −2.23116 | + | 1.77149i | −0.407352 | + | 0.323428i | ||||
\(31\) | −2.85942 | − | 4.95267i | −0.513568 | − | 0.889525i | −0.999876 | − | 0.0157380i | \(-0.994990\pi\) |
0.486309 | − | 0.873787i | \(-0.338343\pi\) | |||||||
\(32\) | −2.71547 | − | 4.70333i | −0.480031 | − | 0.831439i | ||||
\(33\) | −0.773334 | + | 5.69227i | −0.134620 | + | 0.990897i | ||||
\(34\) | 1.11113 | 0.190557 | ||||||||
\(35\) | 2.27392 | + | 4.10134i | 0.384363 | + | 0.693253i | ||||
\(36\) | 2.49456 | + | 2.33457i | 0.415761 | + | 0.389096i | ||||
\(37\) | −4.12359 | + | 7.14227i | −0.677914 | + | 1.17418i | 0.297694 | + | 0.954661i | \(0.403783\pi\) |
−0.975608 | + | 0.219520i | \(0.929551\pi\) | |||||||
\(38\) | 3.83519 | − | 2.21425i | 0.622150 | − | 0.359199i | ||||
\(39\) | 0.0386784 | + | 0.260396i | 0.00619351 | + | 0.0416967i | ||||
\(40\) | 4.47115 | + | 2.58142i | 0.706952 | + | 0.408159i | ||||
\(41\) | −10.5905 | −1.65395 | −0.826975 | − | 0.562238i | \(-0.809940\pi\) | ||||
−0.826975 | + | 0.562238i | \(0.809940\pi\) | |||||||
\(42\) | −3.37581 | + | 2.58607i | −0.520899 | + | 0.399040i | ||||
\(43\) | 10.5255i | 1.60513i | 0.596564 | + | 0.802566i | \(0.296532\pi\) | ||||
−0.596564 | + | 0.802566i | \(0.703468\pi\) | |||||||
\(44\) | 3.66792 | − | 0.901917i | 0.552960 | − | 0.135969i | ||||
\(45\) | −5.17900 | − | 1.20542i | −0.772039 | − | 0.179694i | ||||
\(46\) | 1.41559 | − | 0.817290i | 0.208717 | − | 0.120503i | ||||
\(47\) | −1.28151 | − | 0.739881i | −0.186928 | − | 0.107923i | 0.403616 | − | 0.914929i | \(-0.367753\pi\) |
−0.590543 | + | 0.807006i | \(0.701087\pi\) | |||||||
\(48\) | −0.270570 | + | 0.685085i | −0.0390534 | + | 0.0988835i | ||||
\(49\) | 3.28749 | + | 6.18000i | 0.469641 | + | 0.882857i | ||||
\(50\) | 1.72448 | 0.243878 | ||||||||
\(51\) | 1.28959 | + | 1.62421i | 0.180578 | + | 0.227435i | ||||
\(52\) | 0.149904 | − | 0.0865474i | 0.0207880 | − | 0.0120020i | ||||
\(53\) | −3.94008 | + | 2.27481i | −0.541212 | + | 0.312469i | −0.745570 | − | 0.666427i | \(-0.767823\pi\) |
0.204358 | + | 0.978896i | \(0.434489\pi\) | |||||||
\(54\) | 0.391215 | − | 4.80600i | 0.0532376 | − | 0.654014i | ||||
\(55\) | −4.24193 | + | 4.06994i | −0.571982 | + | 0.548791i | ||||
\(56\) | 6.60615 | + | 3.96851i | 0.882783 | + | 0.530314i | ||||
\(57\) | 7.68786 | + | 3.03627i | 1.01828 | + | 0.402164i | ||||
\(58\) | −2.70720 | + | 4.68900i | −0.355472 | + | 0.615696i | ||||
\(59\) | 0.850398 | − | 0.490977i | 0.110712 | − | 0.0639198i | −0.443621 | − | 0.896214i | \(-0.646306\pi\) |
0.554334 | + | 0.832295i | \(0.312973\pi\) | |||||||
\(60\) | 0.513699 | + | 3.45839i | 0.0663182 | + | 0.446476i | ||||
\(61\) | 5.24787 | + | 3.02986i | 0.671921 | + | 0.387934i | 0.796804 | − | 0.604238i | \(-0.206522\pi\) |
−0.124883 | + | 0.992171i | \(0.539856\pi\) | |||||||
\(62\) | 5.30694 | 0.673983 | ||||||||
\(63\) | −7.69822 | − | 1.93323i | −0.969885 | − | 0.243563i | ||||
\(64\) | 5.89030 | 0.736287 | ||||||||
\(65\) | −0.134699 | + | 0.233305i | −0.0167073 | + | 0.0289379i | ||||
\(66\) | −4.21577 | − | 3.26263i | −0.518926 | − | 0.401602i | ||||
\(67\) | −6.75146 | − | 11.6939i | −0.824823 | − | 1.42863i | −0.902055 | − | 0.431621i | \(-0.857942\pi\) |
0.0772323 | − | 0.997013i | \(-0.475392\pi\) | |||||||
\(68\) | 0.681821 | − | 1.18095i | 0.0826830 | − | 0.143211i | ||||
\(69\) | 2.83763 | + | 1.12070i | 0.341610 | + | 0.134917i | ||||
\(70\) | −4.35111 | − | 0.0755310i | −0.520057 | − | 0.00902768i | ||||
\(71\) | − | 1.53239i | − | 0.181861i | −0.995857 | − | 0.0909306i | \(-0.971016\pi\) | ||
0.995857 | − | 0.0909306i | \(-0.0289841\pi\) | |||||||
\(72\) | −8.36109 | + | 2.53990i | −0.985363 | + | 0.299330i | ||||
\(73\) | 9.61426 | − | 5.55079i | 1.12526 | − | 0.649671i | 0.182524 | − | 0.983201i | \(-0.441573\pi\) |
0.942739 | + | 0.333530i | \(0.108240\pi\) | |||||||
\(74\) | −3.82659 | − | 6.62784i | −0.444832 | − | 0.770471i | ||||
\(75\) | 2.00144 | + | 2.52078i | 0.231107 | + | 0.291075i | ||||
\(76\) | − | 5.43490i | − | 0.623426i | ||||||
\(77\) | −6.43636 | + | 5.96433i | −0.733492 | + | 0.679698i | ||||
\(78\) | −0.227213 | − | 0.0897365i | −0.0257269 | − | 0.0101607i | ||||
\(79\) | −8.02085 | − | 4.63084i | −0.902416 | − | 0.521010i | −0.0244329 | − | 0.999701i | \(-0.507778\pi\) |
−0.877983 | + | 0.478691i | \(0.841111\pi\) | |||||||
\(80\) | −0.652785 | + | 0.376886i | −0.0729836 | + | 0.0421371i | ||||
\(81\) | 7.47929 | − | 5.00602i | 0.831032 | − | 0.556224i | ||||
\(82\) | 4.91383 | − | 8.51101i | 0.542642 | − | 0.939884i | ||||
\(83\) | 0.653721 | 0.0717552 | 0.0358776 | − | 0.999356i | \(-0.488577\pi\) | ||||
0.0358776 | + | 0.999356i | \(0.488577\pi\) | |||||||
\(84\) | 0.677077 | + | 5.17482i | 0.0738751 | + | 0.564619i | ||||
\(85\) | 2.12231i | 0.230197i | ||||||||
\(86\) | −8.45885 | − | 4.88372i | −0.912142 | − | 0.526625i | ||||
\(87\) | −9.99621 | + | 1.48481i | −1.07171 | + | 0.159188i | ||||
\(88\) | −2.69287 | + | 9.27771i | −0.287061 | + | 0.989008i | ||||
\(89\) | −0.343607 | − | 0.198382i | −0.0364223 | − | 0.0210284i | 0.481678 | − | 0.876348i | \(-0.340027\pi\) |
−0.518101 | + | 0.855320i | \(0.673361\pi\) | |||||||
\(90\) | 3.37173 | − | 3.60280i | 0.355411 | − | 0.379768i | ||||
\(91\) | −0.207077 | + | 0.344709i | −0.0217075 | + | 0.0361353i | ||||
\(92\) | − | 2.00605i | − | 0.209145i | ||||||
\(93\) | 6.15928 | + | 7.75750i | 0.638688 | + | 0.804416i | ||||
\(94\) | 1.18921 | − | 0.686591i | 0.122658 | − | 0.0708164i | ||||
\(95\) | 4.22932 | + | 7.32540i | 0.433919 | + | 0.751571i | ||||
\(96\) | 5.84920 | + | 7.36696i | 0.596981 | + | 0.751887i | ||||
\(97\) | 1.93968 | 0.196944 | 0.0984722 | − | 0.995140i | \(-0.468604\pi\) | ||||
0.0984722 | + | 0.995140i | \(0.468604\pi\) | |||||||
\(98\) | −6.49191 | − | 0.225454i | −0.655782 | − | 0.0227743i | ||||
\(99\) | −0.123661 | − | 9.94911i | −0.0124284 | − | 0.999923i | ||||
\(100\) | 1.05819 | − | 1.83284i | 0.105819 | − | 0.183284i | ||||
\(101\) | 7.68315 | + | 13.3076i | 0.764502 | + | 1.32416i | 0.940509 | + | 0.339768i | \(0.110348\pi\) |
−0.176007 | + | 0.984389i | \(0.556318\pi\) | |||||||
\(102\) | −1.90365 | + | 0.282762i | −0.188489 | + | 0.0279976i | ||||
\(103\) | 4.12219 | − | 7.13983i | 0.406171 | − | 0.703509i | −0.588286 | − | 0.808653i | \(-0.700197\pi\) |
0.994457 | + | 0.105144i | \(0.0335304\pi\) | |||||||
\(104\) | 0.442712i | 0.0434114i | ||||||||
\(105\) | −4.93953 | − | 6.44796i | −0.482048 | − | 0.629257i | ||||
\(106\) | − | 4.22193i | − | 0.410070i | ||||||
\(107\) | 3.39388 | − | 5.87837i | 0.328099 | − | 0.568284i | −0.654036 | − | 0.756464i | \(-0.726925\pi\) |
0.982135 | + | 0.188180i | \(0.0602588\pi\) | |||||||
\(108\) | −4.86793 | − | 3.36490i | −0.468417 | − | 0.323787i | ||||
\(109\) | 10.0009 | − | 5.77404i | 0.957915 | − | 0.553052i | 0.0623843 | − | 0.998052i | \(-0.480130\pi\) |
0.895531 | + | 0.445000i | \(0.146796\pi\) | |||||||
\(110\) | −1.30260 | − | 5.29743i | −0.124198 | − | 0.505090i | ||||
\(111\) | 5.24718 | − | 13.2859i | 0.498040 | − | 1.26104i | ||||
\(112\) | −0.984020 | + | 0.545575i | −0.0929812 | + | 0.0515520i | ||||
\(113\) | − | 19.7577i | − | 1.85865i | −0.369267 | − | 0.929323i | \(-0.620391\pi\) | ||
0.369267 | − | 0.929323i | \(-0.379609\pi\) | |||||||
\(114\) | −6.00717 | + | 4.76956i | −0.562623 | + | 0.446710i | ||||
\(115\) | 1.56106 | + | 2.70384i | 0.145570 | + | 0.252135i | ||||
\(116\) | 3.32243 | + | 5.75461i | 0.308479 | + | 0.534302i | ||||
\(117\) | −0.132532 | − | 0.436281i | −0.0122526 | − | 0.0403342i | ||||
\(118\) | 0.911229i | 0.0838854i | ||||||||
\(119\) | −0.0549842 | + | 3.16747i | −0.00504039 | + | 0.290362i | ||||
\(120\) | −8.31715 | − | 3.28481i | −0.759248 | − | 0.299860i | ||||
\(121\) | −9.29060 | − | 5.88937i | −0.844600 | − | 0.535397i | ||||
\(122\) | −4.86989 | + | 2.81163i | −0.440899 | + | 0.254553i | ||||
\(123\) | 18.1441 | − | 2.69508i | 1.63600 | − | 0.243007i | ||||
\(124\) | 3.25649 | − | 5.64041i | 0.292442 | − | 0.506524i | ||||
\(125\) | 12.1562i | 1.08729i | ||||||||
\(126\) | 5.12551 | − | 5.28968i | 0.456617 | − | 0.471242i | ||||
\(127\) | 5.72877i | 0.508347i | 0.967159 | + | 0.254173i | \(0.0818034\pi\) | ||||
−0.967159 | + | 0.254173i | \(0.918197\pi\) | |||||||
\(128\) | 2.69791 | − | 4.67292i | 0.238464 | − | 0.413032i | ||||
\(129\) | −2.67856 | − | 18.0329i | −0.235834 | − | 1.58771i | ||||
\(130\) | −0.124997 | − | 0.216501i | −0.0109630 | − | 0.0189884i | ||||
\(131\) | −8.14732 | + | 14.1116i | −0.711835 | + | 1.23293i | 0.252333 | + | 0.967640i | \(0.418802\pi\) |
−0.964168 | + | 0.265293i | \(0.914531\pi\) | |||||||
\(132\) | −6.05456 | + | 2.47863i | −0.526982 | + | 0.215737i | ||||
\(133\) | 6.12232 | + | 11.0425i | 0.530872 | + | 0.957502i | ||||
\(134\) | 12.5304 | 1.08246 | ||||||||
\(135\) | 9.17970 | + | 0.747239i | 0.790063 | + | 0.0643121i | ||||
\(136\) | 1.74384 | + | 3.02043i | 0.149533 | + | 0.258999i | ||||
\(137\) | −8.18865 | + | 4.72772i | −0.699604 | + | 0.403916i | −0.807200 | − | 0.590278i | \(-0.799018\pi\) |
0.107596 | + | 0.994195i | \(0.465685\pi\) | |||||||
\(138\) | −2.21728 | + | 1.76047i | −0.188747 | + | 0.149861i | ||||
\(139\) | − | 12.5745i | − | 1.06655i | −0.845940 | − | 0.533277i | \(-0.820960\pi\) | ||
0.845940 | − | 0.533277i | \(-0.179040\pi\) | |||||||
\(140\) | −2.75024 | + | 4.57817i | −0.232438 | + | 0.386926i | ||||
\(141\) | 2.38384 | + | 0.941483i | 0.200756 | + | 0.0792872i | ||||
\(142\) | 1.23150 | + | 0.711009i | 0.103346 | + | 0.0596666i | ||||
\(143\) | −0.484111 | − | 0.140514i | −0.0404834 | − | 0.0117504i | ||||
\(144\) | 0.289213 | − | 1.24258i | 0.0241011 | − | 0.103548i | ||||
\(145\) | −8.95622 | − | 5.17088i | −0.743774 | − | 0.429418i | ||||
\(146\) | 10.3020i | 0.852599i | ||||||||
\(147\) | −7.20500 | − | 9.75131i | −0.594258 | − | 0.804274i | ||||
\(148\) | −9.39241 | −0.772052 | ||||||||
\(149\) | −1.97168 | + | 3.41504i | −0.161526 | + | 0.279771i | −0.935416 | − | 0.353549i | \(-0.884975\pi\) |
0.773890 | + | 0.633320i | \(0.218308\pi\) | |||||||
\(150\) | −2.95447 | + | 0.438848i | −0.241231 | + | 0.0358318i | ||||
\(151\) | −7.75940 | + | 4.47989i | −0.631451 | + | 0.364569i | −0.781314 | − | 0.624138i | \(-0.785450\pi\) |
0.149863 | + | 0.988707i | \(0.452117\pi\) | |||||||
\(152\) | 12.0381 | + | 6.95022i | 0.976422 | + | 0.563738i | ||||
\(153\) | −2.62272 | − | 2.45451i | −0.212034 | − | 0.198435i | ||||
\(154\) | −1.80684 | − | 7.93995i | −0.145599 | − | 0.639820i | ||||
\(155\) | 10.1365i | 0.814185i | ||||||||
\(156\) | −0.234800 | + | 0.186426i | −0.0187990 | + | 0.0149260i | ||||
\(157\) | −0.903283 | − | 1.56453i | −0.0720898 | − | 0.124863i | 0.827727 | − | 0.561131i | \(-0.189633\pi\) |
−0.899817 | + | 0.436267i | \(0.856300\pi\) | |||||||
\(158\) | 7.44315 | − | 4.29730i | 0.592145 | − | 0.341875i | ||||
\(159\) | 6.17147 | − | 4.90000i | 0.489429 | − | 0.388596i | ||||
\(160\) | 9.62621i | 0.761019i | ||||||||
\(161\) | 2.25978 | + | 4.07582i | 0.178095 | + | 0.321220i | ||||
\(162\) | 0.552789 | + | 8.33346i | 0.0434312 | + | 0.654738i | ||||
\(163\) | 2.03555 | − | 3.52567i | 0.159436 | − | 0.276152i | −0.775229 | − | 0.631680i | \(-0.782366\pi\) |
0.934666 | + | 0.355528i | \(0.115699\pi\) | |||||||
\(164\) | −6.03054 | − | 10.4452i | −0.470906 | − | 0.815633i | ||||
\(165\) | 6.23179 | − | 8.05234i | 0.485144 | − | 0.626873i | ||||
\(166\) | −0.303318 | + | 0.525363i | −0.0235421 | + | 0.0407761i | ||||
\(167\) | 8.81034 | 0.681765 | 0.340882 | − | 0.940106i | \(-0.389274\pi\) | ||||
0.340882 | + | 0.940106i | \(0.389274\pi\) | |||||||
\(168\) | −12.3279 | − | 5.11792i | −0.951120 | − | 0.394856i | ||||
\(169\) | 12.9769 | 0.998223 | ||||||||
\(170\) | −1.70560 | − | 0.984727i | −0.130813 | − | 0.0755251i | ||||
\(171\) | −13.9439 | − | 3.24549i | −1.06632 | − | 0.248189i | ||||
\(172\) | −10.3812 | + | 5.99358i | −0.791558 | + | 0.457006i | ||||
\(173\) | 7.71176 | − | 13.3572i | 0.586314 | − | 1.01553i | −0.408396 | − | 0.912805i | \(-0.633912\pi\) |
0.994710 | − | 0.102721i | \(-0.0327550\pi\) | |||||||
\(174\) | 3.44485 | − | 8.72238i | 0.261153 | − | 0.661242i | ||||
\(175\) | −0.0853356 | + | 4.91593i | −0.00645077 | + | 0.371609i | ||||
\(176\) | −0.976487 | − | 1.01775i | −0.0736055 | − | 0.0767160i | ||||
\(177\) | −1.33200 | + | 1.05758i | −0.100119 | + | 0.0794925i | ||||
\(178\) | 0.318859 | − | 0.184093i | 0.0238995 | − | 0.0137984i | ||||
\(179\) | −18.8462 | + | 10.8808i | −1.40863 | + | 0.813271i | −0.995256 | − | 0.0972910i | \(-0.968982\pi\) |
−0.413371 | + | 0.910562i | \(0.635649\pi\) | |||||||
\(180\) | −1.76019 | − | 5.79437i | −0.131197 | − | 0.431887i | ||||
\(181\) | −14.7799 | −1.09858 | −0.549290 | − | 0.835632i | \(-0.685102\pi\) | ||||
−0.549290 | + | 0.835632i | \(0.685102\pi\) | |||||||
\(182\) | −0.180944 | − | 0.326358i | −0.0134125 | − | 0.0241912i | ||||
\(183\) | −9.76198 | − | 3.85543i | −0.721626 | − | 0.285002i | ||||
\(184\) | 4.44334 | + | 2.56536i | 0.327567 | + | 0.189121i | ||||
\(185\) | 12.6595 | − | 7.30897i | 0.930746 | − | 0.537366i | ||||
\(186\) | −9.09214 | + | 1.35052i | −0.666668 | + | 0.0990249i | ||||
\(187\) | −3.85636 | + | 0.948253i | −0.282005 | + | 0.0693431i | ||||
\(188\) | − | 1.68525i | − | 0.122909i | ||||||
\(189\) | 13.6810 | + | 1.35305i | 0.995145 | + | 0.0984199i | ||||
\(190\) | −7.84941 | −0.569456 | ||||||||
\(191\) | 1.85828 | + | 1.07288i | 0.134460 | + | 0.0776306i | 0.565721 | − | 0.824597i | \(-0.308598\pi\) |
−0.431261 | + | 0.902227i | \(0.641931\pi\) | |||||||
\(192\) | −10.0916 | + | 1.49897i | −0.728297 | + | 0.108179i | ||||
\(193\) | 15.0145 | − | 8.66862i | 1.08077 | − | 0.623981i | 0.149663 | − | 0.988737i | \(-0.452181\pi\) |
0.931103 | + | 0.364756i | \(0.118848\pi\) | |||||||
\(194\) | −0.899986 | + | 1.55882i | −0.0646152 | + | 0.111917i | ||||
\(195\) | 0.171401 | − | 0.433989i | 0.0122743 | − | 0.0310786i | ||||
\(196\) | −4.22324 | + | 6.76149i | −0.301660 | + | 0.482963i | ||||
\(197\) | 4.89760 | 0.348939 | 0.174470 | − | 0.984663i | \(-0.444179\pi\) | ||||
0.174470 | + | 0.984663i | \(0.444179\pi\) | |||||||
\(198\) | 8.05297 | + | 4.51688i | 0.572300 | + | 0.321001i | ||||
\(199\) | 6.36895 | + | 11.0313i | 0.451483 | + | 0.781992i | 0.998478 | − | 0.0551441i | \(-0.0175618\pi\) |
−0.546995 | + | 0.837136i | \(0.684228\pi\) | |||||||
\(200\) | 2.70645 | + | 4.68771i | 0.191375 | + | 0.331471i | ||||
\(201\) | 14.5428 | + | 18.3165i | 1.02577 | + | 1.29194i | ||||
\(202\) | −14.2595 | −1.00330 | ||||||||
\(203\) | −13.2329 | − | 7.94937i | −0.928764 | − | 0.557936i | ||||
\(204\) | −0.867603 | + | 2.19678i | −0.0607444 | + | 0.153805i | ||||
\(205\) | 16.2564 | + | 9.38566i | 1.13540 | + | 0.655523i | ||||
\(206\) | 3.82528 | + | 6.62558i | 0.266520 | + | 0.461626i | ||||
\(207\) | −5.14678 | − | 1.19793i | −0.357726 | − | 0.0832616i | ||||
\(208\) | −0.0559760 | − | 0.0323178i | −0.00388124 | − | 0.00224083i | ||||
\(209\) | −11.4210 | + | 10.9579i | −0.790006 | + | 0.757975i | ||||
\(210\) | 7.47378 | − | 0.977874i | 0.515740 | − | 0.0674797i | ||||
\(211\) | − | 4.20354i | − | 0.289384i | −0.989477 | − | 0.144692i | \(-0.953781\pi\) | ||
0.989477 | − | 0.144692i | \(-0.0462191\pi\) | |||||||
\(212\) | −4.48722 | − | 2.59070i | −0.308183 | − | 0.177930i | ||||
\(213\) | 0.389965 | + | 2.62537i | 0.0267200 | + | 0.179887i | ||||
\(214\) | 3.14943 | + | 5.45498i | 0.215291 | + | 0.372895i | ||||
\(215\) | 9.32815 | − | 16.1568i | 0.636174 | − | 1.10189i | ||||
\(216\) | 13.6783 | − | 6.47924i | 0.930691 | − | 0.440856i | ||||
\(217\) | −0.262614 | + | 15.1284i | −0.0178274 | + | 1.02698i | ||||
\(218\) | 10.7163i | 0.725801i | ||||||||
\(219\) | −15.0591 | + | 11.9566i | −1.01760 | + | 0.807950i | ||||
\(220\) | −6.42961 | − | 1.86620i | −0.433484 | − | 0.125819i | ||||
\(221\) | −0.157606 | + | 0.0909937i | −0.0106017 | + | 0.00612090i | ||||
\(222\) | 8.24258 | + | 10.3814i | 0.553206 | + | 0.696753i | ||||
\(223\) | 14.7993 | 0.991036 | 0.495518 | − | 0.868598i | \(-0.334978\pi\) | ||||
0.495518 | + | 0.868598i | \(0.334978\pi\) | |||||||
\(224\) | −0.249392 | + | 14.3667i | −0.0166632 | + | 0.959918i | ||||
\(225\) | −4.07047 | − | 3.80941i | −0.271365 | − | 0.253961i | ||||
\(226\) | 15.8783 | + | 9.16731i | 1.05621 | + | 0.609801i | ||||
\(227\) | 7.10797 | + | 12.3114i | 0.471773 | + | 0.817134i | 0.999478 | − | 0.0322932i | \(-0.0102810\pi\) |
−0.527706 | + | 0.849427i | \(0.676948\pi\) | |||||||
\(228\) | 1.38308 | + | 9.31137i | 0.0915969 | + | 0.616661i | ||||
\(229\) | −14.5823 | + | 25.2572i | −0.963622 | + | 1.66904i | −0.250350 | + | 0.968155i | \(0.580546\pi\) |
−0.713272 | + | 0.700887i | \(0.752788\pi\) | |||||||
\(230\) | −2.89726 | −0.191039 | ||||||||
\(231\) | 9.50931 | − | 11.8563i | 0.625667 | − | 0.780090i | ||||
\(232\) | −16.9950 | −1.11578 | ||||||||
\(233\) | 5.68576 | − | 9.84803i | 0.372487 | − | 0.645166i | −0.617461 | − | 0.786602i | \(-0.711839\pi\) |
0.989947 | + | 0.141436i | \(0.0451718\pi\) | |||||||
\(234\) | 0.412111 | + | 0.0959198i | 0.0269405 | + | 0.00627047i | ||||
\(235\) | 1.31142 | + | 2.27145i | 0.0855478 | + | 0.148173i | ||||
\(236\) | 0.968487 | + | 0.559156i | 0.0630431 | + | 0.0363980i | ||||
\(237\) | 14.9202 | + | 5.89265i | 0.969172 | + | 0.382769i | ||||
\(238\) | −2.52002 | − | 1.51385i | −0.163349 | − | 0.0981286i | ||||
\(239\) | −6.81386 | −0.440752 | −0.220376 | − | 0.975415i | \(-0.570728\pi\) | ||||
−0.220376 | + | 0.975415i | \(0.570728\pi\) | |||||||
\(240\) | 1.02248 | − | 0.811823i | 0.0660005 | − | 0.0524029i | ||||
\(241\) | 5.27718 | − | 3.04678i | 0.339933 | − | 0.196261i | −0.320309 | − | 0.947313i | \(-0.603787\pi\) |
0.660243 | + | 0.751052i | \(0.270453\pi\) | |||||||
\(242\) | 9.04371 | − | 4.73380i | 0.581352 | − | 0.304300i | ||||
\(243\) | −11.5400 | + | 10.4799i | −0.740290 | + | 0.672287i | ||||
\(244\) | 6.90119i | 0.441803i | ||||||||
\(245\) | 0.430629 | − | 12.3999i | 0.0275119 | − | 0.792198i | ||||
\(246\) | −6.25275 | + | 15.8320i | −0.398661 | + | 1.00941i | ||||
\(247\) | −0.362663 | + | 0.628150i | −0.0230757 | + | 0.0399682i | ||||
\(248\) | 8.32889 | + | 14.4261i | 0.528885 | + | 0.916055i | ||||
\(249\) | −1.11999 | + | 0.166360i | −0.0709765 | + | 0.0105426i | ||||
\(250\) | −9.76934 | − | 5.64033i | −0.617868 | − | 0.356726i | ||||
\(251\) | − | 10.8446i | − | 0.684503i | −0.939608 | − | 0.342251i | \(-0.888811\pi\) | ||
0.939608 | − | 0.342251i | \(-0.111189\pi\) | |||||||
\(252\) | −2.47690 | − | 8.69348i | −0.156030 | − | 0.547638i | ||||
\(253\) | −4.21554 | + | 4.04462i | −0.265029 | + | 0.254283i | ||||
\(254\) | −4.60393 | − | 2.65808i | −0.288876 | − | 0.166783i | ||||
\(255\) | −0.540090 | − | 3.63606i | −0.0338217 | − | 0.227699i | ||||
\(256\) | 8.39389 | + | 14.5386i | 0.524618 | + | 0.908666i | ||||
\(257\) | −20.3995 | − | 11.7777i | −1.27249 | − | 0.734671i | −0.297032 | − | 0.954867i | \(-0.595997\pi\) |
−0.975456 | + | 0.220196i | \(0.929330\pi\) | |||||||
\(258\) | 15.7350 | + | 6.21443i | 0.979617 | + | 0.386894i | ||||
\(259\) | 19.0832 | − | 10.5804i | 1.18577 | − | 0.657433i | ||||
\(260\) | −0.306807 | −0.0190273 | ||||||||
\(261\) | 16.7482 | − | 5.08771i | 1.03669 | − | 0.314921i | ||||
\(262\) | −7.56051 | − | 13.0952i | −0.467090 | − | 0.809023i | ||||
\(263\) | 3.32430 | + | 5.75786i | 0.204985 | + | 0.355045i | 0.950128 | − | 0.311860i | \(-0.100952\pi\) |
−0.745143 | + | 0.666905i | \(0.767619\pi\) | |||||||
\(264\) | 2.25256 | − | 16.5804i | 0.138635 | − | 1.02045i | ||||
\(265\) | 8.06409 | 0.495373 | ||||||||
\(266\) | −11.7149 | − | 0.203360i | −0.718289 | − | 0.0124688i | ||||
\(267\) | 0.639171 | + | 0.252437i | 0.0391166 | + | 0.0154489i | ||||
\(268\) | 7.68899 | − | 13.3177i | 0.469680 | − | 0.813510i | ||||
\(269\) | 25.7551 | − | 14.8697i | 1.57032 | − | 0.906622i | 0.574186 | − | 0.818725i | \(-0.305319\pi\) |
0.996130 | − | 0.0878968i | \(-0.0280146\pi\) | |||||||
\(270\) | −4.85978 | + | 7.03055i | −0.295757 | + | 0.427866i | ||||
\(271\) | −13.2078 | − | 7.62554i | −0.802319 | − | 0.463219i | 0.0419627 | − | 0.999119i | \(-0.486639\pi\) |
−0.844281 | + | 0.535900i | \(0.819972\pi\) | |||||||
\(272\) | −0.509200 | −0.0308748 | ||||||||
\(273\) | 0.267053 | − | 0.643271i | 0.0161628 | − | 0.0389325i | ||||
\(274\) | − | 8.77441i | − | 0.530081i | ||||||
\(275\) | −5.98508 | + | 1.47169i | −0.360914 | + | 0.0887463i | ||||
\(276\) | 0.510503 | + | 3.43687i | 0.0307287 | + | 0.206875i | ||||
\(277\) | −18.5115 | + | 10.6876i | −1.11225 | + | 0.642157i | −0.939411 | − | 0.342794i | \(-0.888627\pi\) |
−0.172837 | + | 0.984950i | \(0.555293\pi\) | |||||||
\(278\) | 10.1055 | + | 5.83441i | 0.606087 | + | 0.349924i | ||||
\(279\) | −12.5266 | − | 11.7232i | −0.749945 | − | 0.701847i | ||||
\(280\) | −6.62345 | − | 11.9463i | −0.395827 | − | 0.713929i | ||||
\(281\) | −9.56795 | −0.570776 | −0.285388 | − | 0.958412i | \(-0.592122\pi\) | ||||
−0.285388 | + | 0.958412i | \(0.592122\pi\) | |||||||
\(282\) | −1.86269 | + | 1.47894i | −0.110922 | + | 0.0880694i | ||||
\(283\) | −13.9397 | + | 8.04807i | −0.828627 | + | 0.478408i | −0.853382 | − | 0.521286i | \(-0.825453\pi\) |
0.0247553 | + | 0.999694i | \(0.492119\pi\) | |||||||
\(284\) | 1.51137 | − | 0.872591i | 0.0896834 | − | 0.0517787i | ||||
\(285\) | −9.11009 | − | 11.4740i | −0.539635 | − | 0.679661i | ||||
\(286\) | 0.337545 | − | 0.323859i | 0.0199595 | − | 0.0191502i | ||||
\(287\) | 24.0190 | + | 14.4289i | 1.41779 | + | 0.851711i | ||||
\(288\) | −11.8959 | − | 11.1330i | −0.700974 | − | 0.656016i | ||||
\(289\) | 7.78315 | − | 13.4808i | 0.457832 | − | 0.792989i | ||||
\(290\) | 8.31115 | − | 4.79844i | 0.488047 | − | 0.281774i | ||||
\(291\) | −3.32316 | + | 0.493612i | −0.194807 | + | 0.0289361i | ||||
\(292\) | 10.9493 | + | 6.32159i | 0.640761 | + | 0.369943i | ||||
\(293\) | −31.2732 | −1.82700 | −0.913501 | − | 0.406837i | \(-0.866632\pi\) | ||||
−0.913501 | + | 0.406837i | \(0.866632\pi\) | |||||||
\(294\) | 11.1797 | − | 1.26581i | 0.652011 | − | 0.0738236i | ||||
\(295\) | −1.74049 | −0.101335 | ||||||||
\(296\) | 12.0111 | − | 20.8039i | 0.698133 | − | 1.20920i | ||||
\(297\) | 2.74373 | + | 17.0139i | 0.159207 | + | 0.987245i | ||||
\(298\) | −1.82967 | − | 3.16907i | −0.105990 | − | 0.183579i | ||||
\(299\) | −0.133861 | + | 0.231853i | −0.00774136 | + | 0.0134084i | ||||
\(300\) | −1.34652 | + | 3.40941i | −0.0777415 | + | 0.196842i | ||||
\(301\) | 14.3405 | − | 23.8718i | 0.826572 | − | 1.37595i | ||||
\(302\) | − | 8.31445i | − | 0.478443i | ||||||
\(303\) | −16.5497 | − | 20.8441i | −0.950757 | − | 1.19746i | ||||
\(304\) | −1.75756 | + | 1.01473i | −0.100803 | + | 0.0581986i | ||||
\(305\) | −5.37036 | − | 9.30173i | −0.307506 | − | 0.532615i | ||||
\(306\) | 3.18948 | − | 0.968887i | 0.182330 | − | 0.0553876i | ||||
\(307\) | 0.923598i | 0.0527125i | 0.999653 | + | 0.0263562i | \(0.00839043\pi\) | ||||
−0.999653 | + | 0.0263562i | \(0.991610\pi\) | |||||||
\(308\) | −9.54759 | − | 2.95181i | −0.544025 | − | 0.168195i | ||||
\(309\) | −5.24539 | + | 13.2814i | −0.298400 | + | 0.755551i | ||||
\(310\) | −8.14621 | − | 4.70322i | −0.462674 | − | 0.267125i | ||||
\(311\) | 2.89722 | − | 1.67271i | 0.164286 | − | 0.0948508i | −0.415603 | − | 0.909546i | \(-0.636429\pi\) |
0.579889 | + | 0.814696i | \(0.303096\pi\) | |||||||
\(312\) | −0.112662 | − | 0.758477i | −0.00637823 | − | 0.0429403i | ||||
\(313\) | 4.72814 | − | 8.18938i | 0.267250 | − | 0.462891i | −0.700900 | − | 0.713259i | \(-0.747218\pi\) |
0.968151 | + | 0.250368i | \(0.0805516\pi\) | |||||||
\(314\) | 1.67645 | 0.0946074 | ||||||||
\(315\) | 10.1036 | + | 9.78998i | 0.569271 | + | 0.551603i | ||||
\(316\) | − | 10.5478i | − | 0.593359i | ||||||
\(317\) | −8.65750 | − | 4.99841i | −0.486253 | − | 0.280739i | 0.236765 | − | 0.971567i | \(-0.423913\pi\) |
−0.723019 | + | 0.690828i | \(0.757246\pi\) | |||||||
\(318\) | 1.07440 | + | 7.23324i | 0.0602496 | + | 0.405620i | ||||
\(319\) | 5.39411 | − | 18.5843i | 0.302012 | − | 1.04052i | ||||
\(320\) | −9.04167 | − | 5.22021i | −0.505445 | − | 0.291819i | ||||
\(321\) | −4.31864 | + | 10.9348i | −0.241043 | + | 0.610323i | ||||
\(322\) | −4.32404 | − | 0.0750611i | −0.240969 | − | 0.00418299i | ||||
\(323\) | 5.71412i | 0.317942i | ||||||||
\(324\) | 9.19630 | + | 4.52612i | 0.510906 | + | 0.251451i | ||||
\(325\) | −0.244605 | + | 0.141223i | −0.0135682 | + | 0.00783362i | ||||
\(326\) | 1.88894 | + | 3.27174i | 0.104619 | + | 0.181205i | ||||
\(327\) | −15.6647 | + | 12.4374i | −0.866262 | + | 0.687792i | ||||
\(328\) | 30.8477 | 1.70328 | ||||||||
\(329\) | 1.89840 | + | 3.42403i | 0.104662 | + | 0.188773i | ||||
\(330\) | 3.57979 | + | 8.74435i | 0.197061 | + | 0.481361i | ||||
\(331\) | 2.26674 | − | 3.92610i | 0.124591 | − | 0.215798i | −0.796982 | − | 0.604003i | \(-0.793571\pi\) |
0.921573 | + | 0.388205i | \(0.126905\pi\) | |||||||
\(332\) | 0.372249 | + | 0.644755i | 0.0204298 | + | 0.0353855i | ||||
\(333\) | −5.60874 | + | 24.0974i | −0.307357 | + | 1.32053i | ||||
\(334\) | −4.08789 | + | 7.08043i | −0.223679 | + | 0.387424i | ||||
\(335\) | 23.9336i | 1.30763i | ||||||||
\(336\) | 1.54704 | − | 1.18512i | 0.0843978 | − | 0.0646538i | ||||
\(337\) | − | 1.23100i | − | 0.0670568i | −0.999438 | − | 0.0335284i | \(-0.989326\pi\) | ||
0.999438 | − | 0.0335284i | \(-0.0106744\pi\) | |||||||
\(338\) | −6.02112 | + | 10.4289i | −0.327506 | + | 0.567256i | ||||
\(339\) | 5.02797 | + | 33.8499i | 0.273082 | + | 1.83848i | ||||
\(340\) | −2.09321 | + | 1.20851i | −0.113520 | + | 0.0655408i | ||||
\(341\) | −18.4186 | + | 4.52901i | −0.997424 | + | 0.245260i | ||||
\(342\) | 9.07805 | − | 9.70018i | 0.490884 | − | 0.524525i | ||||
\(343\) | 0.963948 | − | 18.4952i | 0.0520483 | − | 0.998645i | ||||
\(344\) | − | 30.6587i | − | 1.65300i | ||||||
\(345\) | −3.36258 | − | 4.23511i | −0.181035 | − | 0.228011i | ||||
\(346\) | 7.15632 | + | 12.3951i | 0.384726 | + | 0.666365i | ||||
\(347\) | −15.1499 | − | 26.2403i | −0.813287 | − | 1.40865i | −0.910551 | − | 0.413396i | \(-0.864342\pi\) |
0.0972640 | − | 0.995259i | \(-0.468991\pi\) | |||||||
\(348\) | −7.15660 | − | 9.01361i | −0.383634 | − | 0.483180i | ||||
\(349\) | − | 16.8976i | − | 0.904507i | −0.891889 | − | 0.452254i | \(-0.850620\pi\) | ||
0.891889 | − | 0.452254i | \(-0.149380\pi\) | |||||||
\(350\) | −3.91109 | − | 2.34951i | −0.209056 | − | 0.125586i | ||||
\(351\) | 0.338087 | + | 0.713734i | 0.0180457 | + | 0.0380963i | ||||
\(352\) | −17.4913 | + | 4.30100i | −0.932292 | + | 0.229244i | ||||
\(353\) | 6.71399 | − | 3.87633i | 0.357350 | − | 0.206316i | −0.310568 | − | 0.950551i | \(-0.600519\pi\) |
0.667918 | + | 0.744235i | \(0.267186\pi\) | |||||||
\(354\) | −0.231891 | − | 1.56117i | −0.0123249 | − | 0.0829751i | ||||
\(355\) | −1.35806 | + | 2.35223i | −0.0720785 | + | 0.124844i | ||||
\(356\) | − | 0.451859i | − | 0.0239485i | ||||||
\(357\) | −0.711861 | − | 5.44067i | −0.0376757 | − | 0.287951i | ||||
\(358\) | − | 20.1943i | − | 1.06730i | ||||||
\(359\) | 3.52802 | − | 6.11071i | 0.186202 | − | 0.322511i | −0.757779 | − | 0.652511i | \(-0.773716\pi\) |
0.943981 | + | 0.330000i | \(0.107049\pi\) | |||||||
\(360\) | 15.0853 | + | 3.51114i | 0.795066 | + | 0.185054i | ||||
\(361\) | 1.88704 | + | 3.26844i | 0.0993177 | + | 0.172023i | ||||
\(362\) | 6.85768 | − | 11.8778i | 0.360432 | − | 0.624286i | ||||
\(363\) | 17.4159 | + | 7.72570i | 0.914098 | + | 0.405494i | ||||
\(364\) | −0.457897 | − | 0.00794864i | −0.0240003 | − | 0.000416622i | ||||
\(365\) | −19.6773 | −1.02996 | ||||||||
\(366\) | 7.62785 | − | 6.05634i | 0.398714 | − | 0.316570i | ||||
\(367\) | −3.46415 | − | 6.00009i | −0.180827 | − | 0.313202i | 0.761335 | − | 0.648358i | \(-0.224544\pi\) |
−0.942162 | + | 0.335156i | \(0.891211\pi\) | |||||||
\(368\) | −0.648724 | + | 0.374541i | −0.0338171 | + | 0.0195243i | ||||
\(369\) | −30.3997 | + | 9.23470i | −1.58254 | + | 0.480739i | ||||
\(370\) | 13.5651i | 0.705215i | ||||||||
\(371\) | 12.0353 | + | 0.208922i | 0.624844 | + | 0.0108467i | ||||
\(372\) | −4.14382 | + | 10.4922i | −0.214847 | + | 0.543994i | ||||
\(373\) | 25.2693 | + | 14.5892i | 1.30840 | + | 0.755402i | 0.981828 | − | 0.189772i | \(-0.0607748\pi\) |
0.326567 | + | 0.945174i | \(0.394108\pi\) | |||||||
\(374\) | 1.02724 | − | 3.53914i | 0.0531173 | − | 0.183005i | ||||
\(375\) | −3.09354 | − | 20.8267i | −0.159750 | − | 1.07549i | ||||
\(376\) | 3.73277 | + | 2.15511i | 0.192503 | + | 0.111142i | ||||
\(377\) | − | 0.886801i | − | 0.0456726i | ||||||
\(378\) | −7.43518 | + | 10.3669i | −0.382424 | + | 0.533217i | ||||
\(379\) | 13.7810 | 0.707883 | 0.353941 | − | 0.935268i | \(-0.384841\pi\) | ||||
0.353941 | + | 0.935268i | \(0.384841\pi\) | |||||||
\(380\) | −4.81662 | + | 8.34263i | −0.247087 | + | 0.427968i | ||||
\(381\) | −1.45787 | − | 9.81485i | −0.0746888 | − | 0.502830i | ||||
\(382\) | −1.72443 | + | 0.995602i | −0.0882297 | + | 0.0509394i | ||||
\(383\) | 3.17046 | + | 1.83047i | 0.162003 | + | 0.0935326i | 0.578810 | − | 0.815463i | \(-0.303517\pi\) |
−0.416807 | + | 0.908995i | \(0.636851\pi\) | |||||||
\(384\) | −3.43304 | + | 8.69247i | −0.175191 | + | 0.443586i | ||||
\(385\) | 15.1657 | − | 3.45115i | 0.772916 | − | 0.175887i | ||||
\(386\) | 16.0885i | 0.818884i | ||||||||
\(387\) | 9.17810 | + | 30.2134i | 0.466549 | + | 1.53583i | ||||
\(388\) | 1.10451 | + | 1.91307i | 0.0560732 | + | 0.0971216i | ||||
\(389\) | 20.6668 | − | 11.9320i | 1.04785 | − | 0.604975i | 0.125801 | − | 0.992055i | \(-0.459850\pi\) |
0.922046 | + | 0.387081i | \(0.126516\pi\) | |||||||
\(390\) | 0.269247 | + | 0.339112i | 0.0136338 | + | 0.0171716i | ||||
\(391\) | 2.10911i | 0.106662i | ||||||||
\(392\) | −9.57575 | − | 18.0010i | −0.483648 | − | 0.909189i | ||||
\(393\) | 10.3673 | − | 26.2500i | 0.522961 | − | 1.32414i | ||||
\(394\) | −2.27242 | + | 3.93595i | −0.114483 | + | 0.198290i | ||||
\(395\) | 8.20806 | + | 14.2168i | 0.412992 | + | 0.715324i | ||||
\(396\) | 9.74223 | − | 5.78730i | 0.489566 | − | 0.290823i | ||||
\(397\) | −7.29770 | + | 12.6400i | −0.366261 | + | 0.634382i | −0.988978 | − | 0.148065i | \(-0.952696\pi\) |
0.622717 | + | 0.782447i | \(0.286029\pi\) | |||||||
\(398\) | −11.8205 | −0.592506 | ||||||||
\(399\) | −13.2992 | − | 17.3605i | −0.665792 | − | 0.869112i | ||||
\(400\) | −0.790279 | −0.0395140 | ||||||||
\(401\) | −19.5588 | − | 11.2923i | −0.976718 | − | 0.563909i | −0.0754405 | − | 0.997150i | \(-0.524036\pi\) |
−0.901278 | + | 0.433242i | \(0.857370\pi\) | |||||||
\(402\) | −21.4677 | + | 3.18875i | −1.07071 | + | 0.159040i | ||||
\(403\) | −0.752751 | + | 0.434601i | −0.0374972 | + | 0.0216490i | ||||
\(404\) | −8.75006 | + | 15.1555i | −0.435332 | + | 0.754017i | ||||
\(405\) | −15.9173 | + | 1.05585i | −0.790938 | + | 0.0524658i | ||||
\(406\) | 12.5284 | − | 6.94617i | 0.621773 | − | 0.344733i | ||||
\(407\) | 18.9371 | + | 19.7374i | 0.938676 | + | 0.978344i | ||||
\(408\) | −3.75629 | − | 4.73098i | −0.185964 | − | 0.234218i | ||||
\(409\) | −24.5243 | + | 14.1591i | −1.21265 | + | 0.700124i | −0.963336 | − | 0.268298i | \(-0.913539\pi\) |
−0.249315 | + | 0.968422i | \(0.580205\pi\) | |||||||
\(410\) | −15.0856 | + | 8.70966i | −0.745023 | + | 0.430139i | ||||
\(411\) | 12.8261 | − | 10.1836i | 0.632666 | − | 0.502322i | ||||
\(412\) | 9.38921 | 0.462573 | ||||||||
\(413\) | −2.59762 | − | 0.0450921i | −0.127820 | − | 0.00221884i | ||||
\(414\) | 3.35075 | − | 3.58038i | 0.164680 | − | 0.175966i | ||||
\(415\) | −1.00347 | − | 0.579353i | −0.0492583 | − | 0.0284393i | ||||
\(416\) | −0.714855 | + | 0.412722i | −0.0350486 | + | 0.0202353i | ||||
\(417\) | 3.19998 | + | 21.5433i | 0.156704 | + | 1.05498i | ||||
\(418\) | −3.50713 | − | 14.2628i | −0.171539 | − | 0.697617i | ||||
\(419\) | − | 33.2180i | − | 1.62280i | −0.584489 | − | 0.811402i | \(-0.698705\pi\) | ||
0.584489 | − | 0.811402i | \(-0.301295\pi\) | |||||||
\(420\) | 3.54681 | − | 8.54345i | 0.173066 | − | 0.416878i | ||||
\(421\) | −30.6223 | −1.49244 | −0.746219 | − | 0.665701i | \(-0.768133\pi\) | ||||
−0.746219 | + | 0.665701i | \(0.768133\pi\) | |||||||
\(422\) | 3.37818 | + | 1.95039i | 0.164447 | + | 0.0949436i | ||||
\(423\) | −4.32372 | − | 1.00636i | −0.210226 | − | 0.0489307i | ||||
\(424\) | 11.4766 | − | 6.62603i | 0.557354 | − | 0.321788i | ||||
\(425\) | −1.11255 | + | 1.92700i | −0.0539668 | + | 0.0934732i | ||||
\(426\) | −2.29082 | − | 0.904744i | −0.110990 | − | 0.0438350i | ||||
\(427\) | −7.77406 | − | 14.0216i | −0.376213 | − | 0.678553i | ||||
\(428\) | 7.73033 | 0.373660 | ||||||||
\(429\) | 0.865163 | + | 0.117538i | 0.0417705 | + | 0.00567481i | ||||
\(430\) | 8.65628 | + | 14.9931i | 0.417443 | + | 0.723033i | ||||
\(431\) | −18.9272 | − | 32.7828i | −0.911691 | − | 1.57909i | −0.811676 | − | 0.584108i | \(-0.801444\pi\) |
−0.100015 | − | 0.994986i | \(-0.531889\pi\) | |||||||
\(432\) | −0.179282 | + | 2.20245i | −0.00862573 | + | 0.105966i | ||||
\(433\) | −11.2661 | −0.541414 | −0.270707 | − | 0.962662i | \(-0.587257\pi\) | ||||
−0.270707 | + | 0.962662i | \(0.587257\pi\) | |||||||
\(434\) | −12.0361 | − | 7.23042i | −0.577749 | − | 0.347071i | ||||
\(435\) | 16.6602 | + | 6.57983i | 0.798795 | + | 0.315479i | ||||
\(436\) | 11.3897 | + | 6.57584i | 0.545467 | + | 0.314926i | ||||
\(437\) | 4.20301 | + | 7.27983i | 0.201057 | + | 0.348241i | ||||
\(438\) | −2.62167 | − | 17.6499i | −0.125268 | − | 0.843346i | ||||
\(439\) | 26.5311 | + | 15.3177i | 1.26626 | + | 0.731074i | 0.974278 | − | 0.225350i | \(-0.0723525\pi\) |
0.291980 | + | 0.956424i | \(0.405686\pi\) | |||||||
\(440\) | 12.3558 | − | 11.8549i | 0.589042 | − | 0.565158i | ||||
\(441\) | 14.8255 | + | 14.8729i | 0.705977 | + | 0.708235i | ||||
\(442\) | − | 0.168880i | − | 0.00803279i | ||||||
\(443\) | 22.1700 | + | 12.7998i | 1.05333 | + | 0.608139i | 0.923579 | − | 0.383408i | \(-0.125250\pi\) |
0.129748 | + | 0.991547i | \(0.458583\pi\) | |||||||
\(444\) | 16.0916 | − | 2.39020i | 0.763673 | − | 0.113434i | ||||
\(445\) | 0.351627 | + | 0.609036i | 0.0166687 | + | 0.0288711i | ||||
\(446\) | −6.86670 | + | 11.8935i | −0.325148 | + | 0.563172i | ||||
\(447\) | 2.50892 | − | 6.35259i | 0.118668 | − | 0.300467i | ||||
\(448\) | −13.3591 | − | 8.02521i | −0.631158 | − | 0.379155i | ||||
\(449\) | 0.105775i | 0.00499182i | 0.999997 | + | 0.00249591i | \(0.000794474\pi\) | ||||
−0.999997 | + | 0.00249591i | \(0.999206\pi\) | |||||||
\(450\) | 4.95008 | − | 1.50372i | 0.233349 | − | 0.0708859i | ||||
\(451\) | −9.79086 | + | 33.7324i | −0.461034 | + | 1.58840i | ||||
\(452\) | 19.4867 | − | 11.2506i | 0.916577 | − | 0.529186i | ||||
\(453\) | 12.1538 | − | 9.64982i | 0.571034 | − | 0.453388i | ||||
\(454\) | −13.1920 | −0.619133 | ||||||||
\(455\) | 0.623359 | − | 0.345612i | 0.0292235 | − | 0.0162025i | ||||
\(456\) | −22.3931 | − | 8.84401i | −1.04865 | − | 0.414159i | ||||
\(457\) | −30.2097 | − | 17.4416i | −1.41315 | − | 0.815882i | −0.417466 | − | 0.908693i | \(-0.637082\pi\) |
−0.995684 | + | 0.0928103i | \(0.970415\pi\) | |||||||
\(458\) | −13.5320 | − | 23.4380i | −0.632307 | − | 1.09519i | ||||
\(459\) | 5.11802 | + | 3.53777i | 0.238889 | + | 0.165129i | ||||
\(460\) | −1.77784 | + | 3.07931i | −0.0828922 | + | 0.143573i | ||||
\(461\) | 24.7756 | 1.15392 | 0.576958 | − | 0.816774i | \(-0.304240\pi\) | ||||
0.576958 | + | 0.816774i | \(0.304240\pi\) | |||||||
\(462\) | 5.11615 | + | 13.1434i | 0.238025 | + | 0.611484i | ||||
\(463\) | 9.64741 | 0.448353 | 0.224177 | − | 0.974549i | \(-0.428031\pi\) | ||||
0.224177 | + | 0.974549i | \(0.428031\pi\) | |||||||
\(464\) | 1.24063 | − | 2.14884i | 0.0575949 | − | 0.0997572i | ||||
\(465\) | −2.57956 | − | 17.3664i | −0.119624 | − | 0.805349i | ||||
\(466\) | 5.27625 | + | 9.13872i | 0.244417 | + | 0.423343i | ||||
\(467\) | 32.0574 | + | 18.5083i | 1.48344 | + | 0.856463i | 0.999823 | − | 0.0188176i | \(-0.00599018\pi\) |
0.483615 | + | 0.875281i | \(0.339324\pi\) | |||||||
\(468\) | 0.354830 | − | 0.379147i | 0.0164020 | − | 0.0175261i | ||||
\(469\) | −0.620064 | + | 35.7200i | −0.0286319 | + | 1.64940i | ||||
\(470\) | −2.43393 | −0.112269 | ||||||||
\(471\) | 1.94570 | + | 2.45057i | 0.0896530 | + | 0.112916i | ||||
\(472\) | −2.47703 | + | 1.43011i | −0.114014 | + | 0.0658262i | ||||
\(473\) | 33.5257 | + | 9.73086i | 1.54151 | + | 0.447425i | ||||
\(474\) | −11.6584 | + | 9.25651i | −0.535489 | + | 0.425166i | ||||
\(475\) | 8.86833i | 0.406907i | ||||||||
\(476\) | −3.15534 | + | 1.74943i | −0.144625 | + | 0.0801849i | ||||
\(477\) | −9.32633 | + | 9.96548i | −0.427023 | + | 0.456288i | ||||
\(478\) | 3.16154 | − | 5.47595i | 0.144606 | − | 0.250464i | ||||
\(479\) | 4.05563 | + | 7.02456i | 0.185306 | + | 0.320960i | 0.943680 | − | 0.330860i | \(-0.107339\pi\) |
−0.758373 | + | 0.651820i | \(0.774006\pi\) | |||||||
\(480\) | −2.44969 | − | 16.4921i | −0.111813 | − | 0.752760i | ||||
\(481\) | 1.08555 | + | 0.626741i | 0.0494967 | + | 0.0285769i | ||||
\(482\) | 5.65468i | 0.257563i | ||||||||
\(483\) | −4.90880 | − | 6.40785i | −0.223358 | − | 0.291567i | ||||
\(484\) | 0.518231 | − | 12.5168i | 0.0235560 | − | 0.568944i | ||||
\(485\) | −2.97742 | − | 1.71902i | −0.135198 | − | 0.0780565i | ||||
\(486\) | −3.06778 | − | 14.1367i | −0.139157 | − | 0.641252i | ||||
\(487\) | −2.90905 | − | 5.03862i | −0.131822 | − | 0.228322i | 0.792557 | − | 0.609798i | \(-0.208749\pi\) |
−0.924379 | + | 0.381476i | \(0.875416\pi\) | |||||||
\(488\) | −15.2859 | − | 8.82533i | −0.691961 | − | 0.399504i | ||||
\(489\) | −2.59019 | + | 6.55838i | −0.117133 | + | 0.296580i | ||||
\(490\) | 9.76534 | + | 6.09945i | 0.441153 | + | 0.275545i | ||||
\(491\) | 5.74362 | 0.259206 | 0.129603 | − | 0.991566i | \(-0.458630\pi\) | ||||
0.129603 | + | 0.991566i | \(0.458630\pi\) | |||||||
\(492\) | 12.9900 | + | 16.3606i | 0.585632 | + | 0.737593i | ||||
\(493\) | −3.49311 | − | 6.05025i | −0.157322 | − | 0.272490i | ||||
\(494\) | −0.336542 | − | 0.582907i | −0.0151417 | − | 0.0262262i | ||||
\(495\) | −8.62746 | + | 15.3816i | −0.387775 | + | 0.691350i | ||||
\(496\) | −2.43202 | −0.109201 | ||||||||
\(497\) | −2.08780 | + | 3.47543i | −0.0936504 | + | 0.155894i | ||||
\(498\) | 0.385966 | − | 0.977269i | 0.0172956 | − | 0.0437925i | ||||
\(499\) | −6.56992 | + | 11.3794i | −0.294110 | + | 0.509414i | −0.974777 | − | 0.223179i | \(-0.928357\pi\) |
0.680667 | + | 0.732593i | \(0.261690\pi\) | |||||||
\(500\) | −11.9895 | + | 6.92214i | −0.536186 | + | 0.309567i | ||||
\(501\) | −15.0944 | + | 2.24207i | −0.674366 | + | 0.100168i | ||||
\(502\) | 8.71523 | + | 5.03174i | 0.388980 | + | 0.224577i | ||||
\(503\) | 24.4996 | 1.09238 | 0.546191 | − | 0.837661i | \(-0.316077\pi\) | ||||
0.546191 | + | 0.837661i | \(0.316077\pi\) | |||||||
\(504\) | 22.4233 | + | 5.63107i | 0.998812 | + | 0.250828i | ||||
\(505\) | − | 27.2364i | − | 1.21200i | ||||||
\(506\) | −1.29450 | − | 5.26447i | −0.0575475 | − | 0.234034i | ||||
\(507\) | −22.2327 | + | 3.30238i | −0.987390 | + | 0.146664i | ||||
\(508\) | −5.65020 | + | 3.26215i | −0.250687 | + | 0.144734i | ||||
\(509\) | 24.3545 | + | 14.0611i | 1.07949 | + | 0.623246i | 0.930760 | − | 0.365631i | \(-0.119147\pi\) |
0.148734 | + | 0.988877i | \(0.452480\pi\) | |||||||
\(510\) | 3.17272 | + | 1.25304i | 0.140490 | + | 0.0554857i | ||||
\(511\) | −29.3676 | − | 0.509793i | −1.29915 | − | 0.0225519i | ||||
\(512\) | −4.78699 | −0.211557 | ||||||||
\(513\) | 24.7154 | + | 2.01187i | 1.09121 | + | 0.0888261i | ||||
\(514\) | 18.9302 | − | 10.9294i | 0.834977 | − | 0.482074i | ||||
\(515\) | −12.6552 | + | 7.30648i | −0.557654 | + | 0.321962i | ||||
\(516\) | 16.2604 | − | 12.9103i | 0.715822 | − | 0.568346i | ||||
\(517\) | −3.54140 | + | 3.39781i | −0.155751 | + | 0.149436i | ||||
\(518\) | −0.351439 | + | 20.2453i | −0.0154414 | + | 0.889530i | ||||
\(519\) | −9.81305 | + | 24.8467i | −0.430745 | + | 1.09065i | ||||
\(520\) | 0.392348 | − | 0.679567i | 0.0172056 | − | 0.0298010i | ||||
\(521\) | −30.0554 | + | 17.3525i | −1.31675 | + | 0.760225i | −0.983204 | − | 0.182509i | \(-0.941578\pi\) |
−0.333545 | + | 0.942734i | \(0.608245\pi\) | |||||||
\(522\) | −3.68222 | + | 15.8203i | −0.161166 | + | 0.692436i | ||||
\(523\) | 14.5510 | + | 8.40101i | 0.636270 | + | 0.367350i | 0.783176 | − | 0.621800i | \(-0.213598\pi\) |
−0.146906 | + | 0.989150i | \(0.546932\pi\) | |||||||
\(524\) | −18.5574 | −0.810682 | ||||||||
\(525\) | −1.10481 | − | 8.44395i | −0.0482179 | − | 0.368524i | ||||
\(526\) | −6.16973 | −0.269013 | ||||||||
\(527\) | −3.42379 | + | 5.93018i | −0.149143 | + | 0.258323i | ||||
\(528\) | 1.93197 | + | 1.49517i | 0.0840782 | + | 0.0650690i | ||||
\(529\) | −9.94865 | − | 17.2316i | −0.432550 | − | 0.749198i | ||||
\(530\) | −3.74164 | + | 6.48070i | −0.162526 | + | 0.281504i | ||||
\(531\) | 2.01292 | − | 2.15087i | 0.0873535 | − | 0.0933399i | ||||
\(532\) | −7.40476 | + | 12.3263i | −0.321037 | + | 0.534411i | ||||
\(533\) | 1.60963i | 0.0697209i | ||||||||
\(534\) | −0.499438 | + | 0.396542i | −0.0216128 | + | 0.0171601i | ||||
\(535\) | −10.4193 | + | 6.01558i | −0.450465 | + | 0.260076i | ||||
\(536\) | 19.6656 | + | 34.0618i | 0.849423 | + | 1.47124i | ||||
\(537\) | 29.5193 | − | 23.4376i | 1.27385 | − | 1.01141i | ||||
\(538\) | 27.5974i | 1.18981i | ||||||||
\(539\) | 22.7236 | − | 4.75780i | 0.978776 | − | 0.204933i | ||||
\(540\) | 4.49022 | + | 9.47929i | 0.193228 | + | 0.407924i | ||||
\(541\) | −15.9142 | − | 9.18808i | −0.684205 | − | 0.395026i | 0.117232 | − | 0.993105i | \(-0.462598\pi\) |
−0.801438 | + | 0.598078i | \(0.795931\pi\) | |||||||
\(542\) | 12.2565 | − | 7.07631i | 0.526463 | − | 0.303954i | ||||
\(543\) | 25.3217 | − | 3.76121i | 1.08666 | − | 0.161409i | ||||
\(544\) | −3.25142 | + | 5.63163i | −0.139404 | + | 0.241454i | ||||
\(545\) | −20.4687 | −0.876783 | ||||||||
\(546\) | 0.393055 | + | 0.513087i | 0.0168212 | + | 0.0219581i | ||||
\(547\) | 2.21856i | 0.0948587i | 0.998875 | + | 0.0474294i | \(0.0151029\pi\) | ||||
−0.998875 | + | 0.0474294i | \(0.984897\pi\) | |||||||
\(548\) | −9.32575 | − | 5.38423i | −0.398376 | − | 0.230003i | ||||
\(549\) | 17.7059 | + | 4.12109i | 0.755669 | + | 0.175884i | ||||
\(550\) | 1.59428 | − | 5.49276i | 0.0679803 | − | 0.234212i | ||||
\(551\) | −24.1137 | − | 13.9221i | −1.02728 | − | 0.593100i | ||||
\(552\) | −8.26540 | − | 3.26437i | −0.351799 | − | 0.138941i | ||||
\(553\) | 11.8819 | + | 21.4306i | 0.505269 | + | 0.911323i | ||||
\(554\) | − | 19.8357i | − | 0.842737i | ||||||
\(555\) | −19.8290 | + | 15.7437i | −0.841692 | + | 0.668284i | ||||
\(556\) | 12.4020 | − | 7.16032i | 0.525963 | − | 0.303665i | ||||
\(557\) | −3.10281 | − | 5.37423i | −0.131470 | − | 0.227713i | 0.792773 | − | 0.609517i | \(-0.208637\pi\) |
−0.924244 | + | 0.381803i | \(0.875303\pi\) | |||||||
\(558\) | 15.2335 | − | 4.62757i | 0.644884 | − | 0.195901i | ||||
\(559\) | 1.59977 | 0.0676630 | ||||||||
\(560\) | 1.99399 | + | 0.0346137i | 0.0842615 | + | 0.00146270i | ||||
\(561\) | 6.36561 | − | 2.60597i | 0.268756 | − | 0.110024i | ||||
\(562\) | 4.43941 | − | 7.68928i | 0.187265 | − | 0.324353i | ||||
\(563\) | −21.2027 | − | 36.7241i | −0.893587 | − | 1.54774i | −0.835544 | − | 0.549424i | \(-0.814847\pi\) |
−0.0580430 | − | 0.998314i | \(-0.518486\pi\) | |||||||
\(564\) | 0.428864 | + | 2.88726i | 0.0180584 | + | 0.121575i | ||||
\(565\) | −17.5100 | + | 30.3282i | −0.736652 | + | 1.27592i | ||||
\(566\) | − | 14.9368i | − | 0.627841i | ||||||
\(567\) | −23.7833 | + | 1.16344i | −0.998806 | + | 0.0488600i | ||||
\(568\) | 4.46352i | 0.187285i | ||||||||
\(569\) | 12.6810 | − | 21.9642i | 0.531616 | − | 0.920786i | −0.467703 | − | 0.883886i | \(-0.654918\pi\) |
0.999319 | − | 0.0369003i | \(-0.0117484\pi\) | |||||||
\(570\) | 13.4480 | − | 1.99753i | 0.563276 | − | 0.0836674i | ||||
\(571\) | −11.7351 | + | 6.77527i | −0.491099 | + | 0.283536i | −0.725030 | − | 0.688717i | \(-0.758174\pi\) |
0.233931 | + | 0.972253i | \(0.424841\pi\) | |||||||
\(572\) | −0.137082 | − | 0.557484i | −0.00573167 | − | 0.0233096i | ||||
\(573\) | −3.45673 | − | 1.36521i | −0.144407 | − | 0.0570326i | ||||
\(574\) | −22.7403 | + | 12.6080i | −0.949161 | + | 0.526247i | ||||
\(575\) | 3.27335i | 0.136508i | ||||||||
\(576\) | 16.9080 | − | 5.13624i | 0.704499 | − | 0.214010i | ||||
\(577\) | 3.36119 | + | 5.82175i | 0.139928 | + | 0.242363i | 0.927469 | − | 0.373900i | \(-0.121980\pi\) |
−0.787541 | + | 0.616262i | \(0.788646\pi\) | |||||||
\(578\) | 7.22257 | + | 12.5099i | 0.300419 | + | 0.520341i | ||||
\(579\) | −23.5176 | + | 18.6725i | −0.977359 | + | 0.776001i | ||||
\(580\) | − | 11.7778i | − | 0.489048i | ||||||
\(581\) | −1.48263 | − | 0.890659i | −0.0615098 | − | 0.0369508i | ||||
\(582\) | 1.14521 | − | 2.89969i | 0.0474706 | − | 0.120196i | ||||
\(583\) | 3.60305 | + | 14.6529i | 0.149223 | + | 0.606861i | ||||
\(584\) | −28.0043 | + | 16.1683i | −1.15882 | + | 0.669048i | ||||
\(585\) | −0.183211 | + | 0.787151i | −0.00757486 | + | 0.0325447i | ||||
\(586\) | 14.5104 | − | 25.1327i | 0.599418 | − | 1.03822i | ||||
\(587\) | 6.04874i | 0.249658i | 0.992178 | + | 0.124829i | \(0.0398383\pi\) | ||||
−0.992178 | + | 0.124829i | \(0.960162\pi\) | |||||||
\(588\) | 5.51481 | − | 12.6589i | 0.227427 | − | 0.522043i | ||||
\(589\) | 27.2916i | 1.12453i | ||||||||
\(590\) | 0.807566 | − | 1.39875i | 0.0332470 | − | 0.0575855i | ||||
\(591\) | −8.39083 | + | 1.24635i | −0.345152 | + | 0.0512679i | ||||
\(592\) | 1.75362 | + | 3.03735i | 0.0720732 | + | 0.124834i | ||||
\(593\) | −7.63265 | + | 13.2201i | −0.313435 | + | 0.542886i | −0.979104 | − | 0.203362i | \(-0.934813\pi\) |
0.665668 | + | 0.746248i | \(0.268147\pi\) | |||||||
\(594\) | −14.9462 | − | 5.68923i | −0.613252 | − | 0.233432i | ||||
\(595\) | 2.89154 | − | 4.81337i | 0.118541 | − | 0.197329i | ||||
\(596\) | −4.49094 | −0.183956 | ||||||||
\(597\) | −13.7189 | − | 17.2787i | −0.561478 | − | 0.707171i | ||||
\(598\) | −0.124219 | − | 0.215154i | −0.00507970 | − | 0.00879830i | ||||
\(599\) | −25.1905 | + | 14.5437i | −1.02926 | + | 0.594241i | −0.916771 | − | 0.399412i | \(-0.869214\pi\) |
−0.112485 | + | 0.993653i | \(0.535881\pi\) | |||||||
\(600\) | −5.82977 | − | 7.34250i | −0.238000 | − | 0.299756i | ||||
\(601\) | − | 30.7729i | − | 1.25525i | −0.778514 | − | 0.627627i | \(-0.784026\pi\) | ||
0.778514 | − | 0.627627i | \(-0.215974\pi\) | |||||||
\(602\) | 12.5307 | + | 22.6009i | 0.510714 | + | 0.921144i | ||||
\(603\) | −29.5768 | − | 27.6799i | −1.20446 | − | 1.12721i | ||||
\(604\) | −8.83690 | − | 5.10199i | −0.359568 | − | 0.207597i | ||||
\(605\) | 9.04178 | + | 17.2739i | 0.367601 | + | 0.702285i | ||||
\(606\) | 24.4302 | − | 3.62879i | 0.992409 | − | 0.147410i | ||||
\(607\) | −0.812385 | − | 0.469031i | −0.0329737 | − | 0.0190374i | 0.483423 | − | 0.875387i | \(-0.339393\pi\) |
−0.516396 | + | 0.856350i | \(0.672727\pi\) | |||||||
\(608\) | 25.9176i | 1.05110i | ||||||||
\(609\) | 24.6942 | + | 10.2518i | 1.00066 | + | 0.415423i | ||||
\(610\) | 9.96711 | 0.403556 | ||||||||
\(611\) | −0.112454 | + | 0.194776i | −0.00454940 | + | 0.00787979i | ||||
\(612\) | 0.927385 | − | 3.98443i | 0.0374873 | − | 0.161061i | ||||
\(613\) | −6.79311 | + | 3.92200i | −0.274371 | + | 0.158408i | −0.630872 | − | 0.775887i | \(-0.717303\pi\) |
0.356501 | + | 0.934295i | \(0.383970\pi\) | |||||||
\(614\) | −0.742249 | − | 0.428538i | −0.0299547 | − | 0.0172944i | ||||
\(615\) | −30.2399 | − | 11.9431i | −1.21939 | − | 0.481591i | ||||
\(616\) | 18.7477 | − | 17.3728i | 0.755368 | − | 0.699970i | ||||
\(617\) | 8.05669i | 0.324350i | 0.986762 | + | 0.162175i | \(0.0518509\pi\) | ||||
−0.986762 | + | 0.162175i | \(0.948149\pi\) | |||||||
\(618\) | −8.23977 | − | 10.3778i | −0.331452 | − | 0.417458i | ||||
\(619\) | 0.600460 | + | 1.04003i | 0.0241345 | + | 0.0418022i | 0.877840 | − | 0.478953i | \(-0.158984\pi\) |
−0.853706 | + | 0.520755i | \(0.825650\pi\) | |||||||
\(620\) | −9.99750 | + | 5.77206i | −0.401509 | + | 0.231811i | ||||
\(621\) | 9.12259 | + | 0.742590i | 0.366077 | + | 0.0297991i | ||||
\(622\) | 3.10447i | 0.124478i | ||||||||
\(623\) | 0.509011 | + | 0.918072i | 0.0203931 | + | 0.0367818i | ||||
\(624\) | 0.104125 | + | 0.0411237i | 0.00416835 | + | 0.00164626i | ||||
\(625\) | 6.12750 | − | 10.6131i | 0.245100 | − | 0.424526i | ||||
\(626\) | 4.38760 | + | 7.59954i | 0.175364 | + | 0.303739i | ||||
\(627\) | 16.7785 | − | 21.6801i | 0.670067 | − | 0.865820i | ||||
\(628\) | 1.02872 | − | 1.78179i | 0.0410502 | − | 0.0711011i | ||||
\(629\) | 9.87494 | 0.393740 | ||||||||
\(630\) | −12.5556 | + | 3.57729i | −0.500228 | + | 0.142523i | ||||
\(631\) | 14.1617 | 0.563770 | 0.281885 | − | 0.959448i | \(-0.409040\pi\) | ||||
0.281885 | + | 0.959448i | \(0.409040\pi\) | |||||||
\(632\) | 23.3630 | + | 13.4886i | 0.929331 | + | 0.536549i | ||||
\(633\) | 1.06972 | + | 7.20174i | 0.0425178 | + | 0.286243i | ||||
\(634\) | 8.03394 | − | 4.63840i | 0.319068 | − | 0.184214i | ||||
\(635\) | 5.07706 | − | 8.79373i | 0.201477 | − | 0.348968i | ||||
\(636\) | 8.34703 | + | 3.29661i | 0.330981 | + | 0.130719i | ||||
\(637\) | 0.939293 | − | 0.499662i | 0.0372161 | − | 0.0197973i | ||||
\(638\) | 12.4325 | + | 12.9579i | 0.492206 | + | 0.513006i | ||||
\(639\) | −1.33622 | − | 4.39869i | −0.0528600 | − | 0.174009i | ||||
\(640\) | −8.28264 | + | 4.78199i | −0.327400 | + | 0.189025i | ||||
\(641\) | −36.3924 | + | 21.0111i | −1.43741 | + | 0.829890i | −0.997669 | − | 0.0682337i | \(-0.978264\pi\) |
−0.439743 | + | 0.898124i | \(0.644930\pi\) | |||||||
\(642\) | −6.78397 | − | 8.54429i | −0.267742 | − | 0.337216i | ||||
\(643\) | 11.5255 | 0.454522 | 0.227261 | − | 0.973834i | \(-0.427023\pi\) | ||||
0.227261 | + | 0.973834i | \(0.427023\pi\) | |||||||
\(644\) | −2.73313 | + | 4.54969i | −0.107701 | + | 0.179283i | ||||
\(645\) | −11.8699 | + | 30.0546i | −0.467376 | + | 1.18340i | ||||
\(646\) | −4.59215 | − | 2.65128i | −0.180676 | − | 0.104313i | ||||
\(647\) | 8.06329 | − | 4.65534i | 0.317001 | − | 0.183020i | −0.333054 | − | 0.942908i | \(-0.608079\pi\) |
0.650055 | + | 0.759887i | \(0.274746\pi\) | |||||||
\(648\) | −21.7856 | + | 14.5815i | −0.855818 | + | 0.572814i | ||||
\(649\) | −0.777654 | − | 3.16257i | −0.0305256 | − | 0.124142i | ||||
\(650\) | − | 0.262102i | − | 0.0102805i | ||||||
\(651\) | −3.39997 | − | 25.9856i | −0.133255 | − | 1.01845i | ||||
\(652\) | 4.63642 | 0.181576 | ||||||||
\(653\) | 9.82138 | + | 5.67038i | 0.384340 | + | 0.221899i | 0.679705 | − | 0.733486i | \(-0.262108\pi\) |
−0.295365 | + | 0.955385i | \(0.595441\pi\) | |||||||
\(654\) | −2.72711 | − | 18.3598i | −0.106638 | − | 0.717924i | ||||
\(655\) | 25.0124 | − | 14.4409i | 0.977317 | − | 0.564254i | ||||
\(656\) | −2.25187 | + | 3.90035i | −0.0879208 | + | 0.152283i | ||||
\(657\) | 22.7573 | − | 24.3169i | 0.887847 | − | 0.948693i | ||||
\(658\) | −3.63255 | − | 0.0630575i | −0.141612 | − | 0.00245824i | ||||
\(659\) | −13.9434 | −0.543156 | −0.271578 | − | 0.962416i | \(-0.587545\pi\) | ||||
−0.271578 | + | 0.962416i | \(0.587545\pi\) | |||||||
\(660\) | 11.4905 | + | 1.56106i | 0.447266 | + | 0.0607641i | ||||
\(661\) | −16.8931 | − | 29.2596i | −0.657064 | − | 1.13807i | −0.981372 | − | 0.192117i | \(-0.938465\pi\) |
0.324308 | − | 0.945951i | \(-0.394868\pi\) | |||||||
\(662\) | 2.10347 | + | 3.64332i | 0.0817538 | + | 0.141602i | ||||
\(663\) | 0.246862 | − | 0.196003i | 0.00958734 | − | 0.00761213i | ||||
\(664\) | −1.90415 | −0.0738953 | ||||||||
\(665\) | 0.388427 | − | 22.3761i | 0.0150626 | − | 0.867708i | ||||
\(666\) | −16.7635 | − | 15.6884i | −0.649573 | − | 0.607912i | ||||
\(667\) | −8.90050 | − | 5.13871i | −0.344629 | − | 0.198972i | ||||
\(668\) | 5.01689 | + | 8.68950i | 0.194109 | + | 0.336207i | ||||
\(669\) | −25.3550 | + | 3.76616i | −0.980281 | + | 0.145608i | ||||
\(670\) | −19.2342 | − | 11.1049i | −0.743084 | − | 0.429020i | ||||
\(671\) | 14.5023 | − | 13.9143i | 0.559854 | − | 0.537154i | ||||
\(672\) | −3.22880 | − | 24.6773i | −0.124554 | − | 0.951949i | ||||
\(673\) | − | 13.5359i | − | 0.521770i | −0.965370 | − | 0.260885i | \(-0.915986\pi\) | ||
0.965370 | − | 0.260885i | \(-0.0840143\pi\) | |||||||
\(674\) | 0.989291 | + | 0.571168i | 0.0381061 | + | 0.0220006i | ||||
\(675\) | 7.94318 | + | 5.49062i | 0.305733 | + | 0.211334i | ||||
\(676\) | 7.38946 | + | 12.7989i | 0.284210 | + | 0.492266i | ||||
\(677\) | 14.7836 | − | 25.6059i | 0.568180 | − | 0.984116i | −0.428566 | − | 0.903510i | \(-0.640981\pi\) |
0.996746 | − | 0.0806057i | \(-0.0256855\pi\) | |||||||
\(678\) | −29.5364 | − | 11.6652i | −1.13434 | − | 0.448000i | ||||
\(679\) | −4.39915 | − | 2.64270i | −0.168824 | − | 0.101418i | ||||
\(680\) | − | 6.18184i | − | 0.237063i | ||||||
\(681\) | −15.3108 | − | 19.2836i | −0.586710 | − | 0.738951i | ||||
\(682\) | 4.90626 | − | 16.9035i | 0.187871 | − | 0.647269i | ||||
\(683\) | 23.2573 | − | 13.4276i | 0.889915 | − | 0.513792i | 0.0160000 | − | 0.999872i | \(-0.494907\pi\) |
0.873915 | + | 0.486080i | \(0.161573\pi\) | |||||||
\(684\) | −4.73915 | − | 15.6008i | −0.181206 | − | 0.596510i | ||||
\(685\) | 16.7595 | 0.640349 | ||||||||
\(686\) | 14.4164 | + | 9.35619i | 0.550419 | + | 0.357221i | ||||
\(687\) | 18.5556 | − | 46.9829i | 0.707941 | − | 1.79251i | ||||
\(688\) | 3.87645 | + | 2.23807i | 0.147788 | + | 0.0853256i | ||||
\(689\) | 0.345746 | + | 0.598850i | 0.0131719 | + | 0.0228144i | ||||
\(690\) | 4.96374 | − | 0.737299i | 0.188966 | − | 0.0280685i | ||||
\(691\) | 12.0582 | − | 20.8855i | 0.458717 | − | 0.794521i | −0.540177 | − | 0.841552i | \(-0.681643\pi\) |
0.998893 | + | 0.0470310i | \(0.0149760\pi\) | |||||||
\(692\) | 17.5653 | 0.667732 | ||||||||
\(693\) | −13.2746 | + | 22.7329i | −0.504262 | + | 0.863551i | ||||
\(694\) | 28.1174 | 1.06732 | ||||||||
\(695\) | −11.1440 | + | 19.3020i | −0.422716 | + | 0.732166i | ||||
\(696\) | 29.1168 | − | 4.32493i | 1.10367 | − | 0.163936i | ||||
\(697\) | 6.34035 | + | 10.9818i | 0.240158 | + | 0.415966i | ||||
\(698\) | 13.5797 | + | 7.84027i | 0.514001 | + | 0.296759i | ||||
\(699\) | −7.23502 | + | 18.3191i | −0.273653 | + | 0.692892i | ||||
\(700\) | −4.89709 | + | 2.71512i | −0.185093 | + | 0.102622i | ||||
\(701\) | 12.6239 | 0.476797 | 0.238399 | − | 0.971167i | \(-0.423378\pi\) | ||||
0.238399 | + | 0.971167i | \(0.423378\pi\) | |||||||
\(702\) | −0.730460 | − | 0.0594603i | −0.0275694 | − | 0.00224419i | ||||
\(703\) | 34.0845 | − | 19.6787i | 1.28552 | − | 0.742195i | ||||
\(704\) | 5.44557 | − | 18.7616i | 0.205238 | − | 0.707104i | ||||
\(705\) | −2.82484 | − | 3.55784i | −0.106390 | − | 0.133996i | ||||
\(706\) | 7.19426i | 0.270760i | ||||||||
\(707\) | 0.705632 | − | 40.6493i | 0.0265380 | − | 1.52877i | ||||
\(708\) | −1.80156 | − | 0.711514i | −0.0677067 | − | 0.0267403i | ||||
\(709\) | 11.3064 | − | 19.5833i | 0.424621 | − | 0.735465i | −0.571764 | − | 0.820418i | \(-0.693741\pi\) |
0.996385 | + | 0.0849532i | \(0.0270741\pi\) | |||||||
\(710\) | −1.26025 | − | 2.18281i | −0.0472962 | − | 0.0819195i | ||||
\(711\) | −27.0617 | − | 6.29868i | −1.01489 | − | 0.236219i | ||||
\(712\) | 1.00085 | + | 0.577843i | 0.0375086 | + | 0.0216556i | ||||
\(713\) | 10.0735i | 0.377254i | ||||||||
\(714\) | 4.70269 | + | 1.95232i | 0.175994 | + | 0.0730636i | ||||
\(715\) | 0.618587 | + | 0.644728i | 0.0231338 | + | 0.0241115i | ||||
\(716\) | −21.4632 | − | 12.3918i | −0.802117 | − | 0.463102i | ||||
\(717\) | 11.6739 | − | 1.73400i | 0.435969 | − | 0.0647575i | ||||
\(718\) | 3.27391 | + | 5.67058i | 0.122181 | + | 0.211624i | ||||
\(719\) | 9.32425 | + | 5.38336i | 0.347736 | + | 0.200765i | 0.663688 | − | 0.748010i | \(-0.268990\pi\) |
−0.315952 | + | 0.948775i | \(0.602324\pi\) | |||||||
\(720\) | −1.54517 | + | 1.65106i | −0.0575850 | + | 0.0615314i | ||||
\(721\) | −19.0767 | + | 10.5768i | −0.710452 | + | 0.393899i | ||||
\(722\) | −3.50224 | −0.130340 | ||||||||
\(723\) | −8.26581 | + | 6.56286i | −0.307409 | + | 0.244075i | ||||
\(724\) | −8.41613 | − | 14.5772i | −0.312783 | − | 0.541756i | ||||
\(725\) | −5.42133 | − | 9.39001i | −0.201343 | − | 0.348736i | ||||
\(726\) | −14.2895 | + | 10.4117i | −0.530333 | + | 0.386413i | ||||
\(727\) | −21.1561 | −0.784637 | −0.392318 | − | 0.919829i | \(-0.628327\pi\) | ||||
−0.392318 | + | 0.919829i | \(0.628327\pi\) | |||||||
\(728\) | 0.603170 | − | 1.00406i | 0.0223550 | − | 0.0372130i | ||||
\(729\) | 17.1040 | − | 20.8915i | 0.633480 | − | 0.773759i | ||||
\(730\) | 9.13002 | − | 15.8137i | 0.337917 | − | 0.585290i | ||||
\(731\) | 10.9145 | − | 6.30150i | 0.403688 | − | 0.233069i | ||||
\(732\) | −1.75623 | − | 11.8235i | −0.0649120 | − | 0.437009i | ||||
\(733\) | −12.5485 | − | 7.24488i | −0.463490 | − | 0.267596i | 0.250021 | − | 0.968240i | \(-0.419563\pi\) |
−0.713510 | + | 0.700645i | \(0.752896\pi\) | |||||||
\(734\) | 6.42929 | 0.237309 | ||||||||
\(735\) | 2.41776 | + | 21.3537i | 0.0891805 | + | 0.787643i | ||||
\(736\) | 9.56632i | 0.352619i | ||||||||
\(737\) | −43.4887 | + | 10.6936i | −1.60193 | + | 0.393903i | ||||
\(738\) | 6.68359 | − | 28.7155i | 0.246026 | − | 1.05703i | ||||
\(739\) | 13.9391 | − | 8.04776i | 0.512759 | − | 0.296042i | −0.221208 | − | 0.975227i | \(-0.571000\pi\) |
0.733967 | + | 0.679185i | \(0.237667\pi\) | |||||||
\(740\) | 14.4174 | + | 8.32392i | 0.529996 | + | 0.305993i | ||||
\(741\) | 0.461481 | − | 1.16847i | 0.0169529 | − | 0.0429249i | ||||
\(742\) | −5.75215 | + | 9.57526i | −0.211168 | + | 0.351519i | ||||
\(743\) | 28.8262 | 1.05753 | 0.528765 | − | 0.848768i | \(-0.322655\pi\) | ||||
0.528765 | + | 0.848768i | \(0.322655\pi\) | |||||||
\(744\) | −17.9407 | − | 22.5959i | −0.657737 | − | 0.828407i | ||||
\(745\) | 6.05308 | − | 3.49475i | 0.221768 | − | 0.128038i | ||||
\(746\) | −23.4493 | + | 13.5384i | −0.858539 | + | 0.495678i | ||||
\(747\) | 1.87649 | − | 0.570034i | 0.0686573 | − | 0.0208565i | ||||
\(748\) | −3.13118 | − | 3.26350i | −0.114487 | − | 0.119325i | ||||
\(749\) | −15.7062 | + | 8.70807i | −0.573893 | + | 0.318186i | ||||
\(750\) | 18.1727 | + | 7.17720i | 0.663574 | + | 0.262074i | ||||
\(751\) | −22.9782 | + | 39.7994i | −0.838485 | + | 1.45230i | 0.0526755 | + | 0.998612i | \(0.483225\pi\) |
−0.891161 | + | 0.453688i | \(0.850108\pi\) | |||||||
\(752\) | −0.544981 | + | 0.314645i | −0.0198734 | + | 0.0114739i | ||||
\(753\) | 2.75974 | + | 18.5795i | 0.100571 | + | 0.677074i | ||||
\(754\) | 0.712677 | + | 0.411464i | 0.0259542 | + | 0.0149847i | ||||
\(755\) | 15.8810 | 0.577969 | ||||||||
\(756\) | 6.45589 | + | 14.2638i | 0.234799 | + | 0.518770i | ||||
\(757\) | 28.8162 | 1.04734 | 0.523672 | − | 0.851920i | \(-0.324562\pi\) | ||||
0.523672 | + | 0.851920i | \(0.324562\pi\) | |||||||
\(758\) | −6.39421 | + | 11.0751i | −0.232248 | + | 0.402266i | ||||
\(759\) | 6.19302 | − | 8.00224i | 0.224792 | − | 0.290463i | ||||
\(760\) | −12.3191 | − | 21.3373i | −0.446861 | − | 0.773986i | ||||
\(761\) | 2.67250 | − | 4.62891i | 0.0968782 | − | 0.167798i | −0.813513 | − | 0.581547i | \(-0.802448\pi\) |
0.910391 | + | 0.413749i | \(0.135781\pi\) | |||||||
\(762\) | 8.56413 | + | 3.38235i | 0.310246 | + | 0.122530i | ||||
\(763\) | −30.5487 | − | 0.530296i | −1.10594 | − | 0.0191980i | ||||
\(764\) | 2.44372i | 0.0884107i | ||||||||
\(765\) | 1.85062 | + | 6.09206i | 0.0669094 | + | 0.220259i | ||||
\(766\) | −2.94211 | + | 1.69863i | −0.106303 | + | 0.0613739i | ||||
\(767\) | −0.0746232 | − | 0.129251i | −0.00269449 | − | 0.00466699i | ||||
\(768\) | −18.0807 | − | 22.7723i | −0.652431 | − | 0.821725i | ||||
\(769\) | − | 29.6667i | − | 1.06981i | −0.844913 | − | 0.534904i | \(-0.820348\pi\) | ||
0.844913 | − | 0.534904i | \(-0.179652\pi\) | |||||||
\(770\) | −4.26318 | + | 13.7892i | −0.153634 | + | 0.496928i | ||||
\(771\) | 37.9468 | + | 14.9868i | 1.36662 | + | 0.539738i | ||||
\(772\) | 17.0994 | + | 9.87237i | 0.615423 | + | 0.355314i | ||||
\(773\) | −2.33656 | + | 1.34901i | −0.0840402 | + | 0.0485206i | −0.541431 | − | 0.840745i | \(-0.682117\pi\) |
0.457391 | + | 0.889266i | \(0.348784\pi\) | |||||||
\(774\) | −28.5395 | − | 6.64264i | −1.02583 | − | 0.238765i | ||||
\(775\) | −5.31374 | + | 9.20366i | −0.190875 | + | 0.330605i | ||||
\(776\) | −5.64986 | −0.202818 | ||||||||
\(777\) | −30.0018 | + | 22.9832i | −1.07631 | + | 0.824517i | ||||
\(778\) | 22.1451i | 0.793941i | ||||||||
\(779\) | 43.7689 | + | 25.2700i | 1.56818 | + | 0.905391i | ||||
\(780\) | 0.525638 | − | 0.0780766i | 0.0188208 | − | 0.00279559i | ||||
\(781\) | −4.88092 | − | 1.41669i | −0.174653 | − | 0.0506932i | ||||
\(782\) | −1.69499 | − | 0.978600i | −0.0606126 | − | 0.0349947i | ||||
\(783\) | −27.3992 | + | 12.9786i | −0.979167 | + | 0.463819i | ||||
\(784\) | 2.97506 | + | 0.103319i | 0.106252 | + | 0.00368997i | ||||
\(785\) | 3.20210i | 0.114288i | ||||||||
\(786\) | 16.2855 | + | 20.5114i | 0.580886 | + | 0.731616i | ||||
\(787\) | 20.3422 | − | 11.7446i | 0.725123 | − | 0.418650i | −0.0915126 | − | 0.995804i | \(-0.529170\pi\) |
0.816635 | + | 0.577154i | \(0.195837\pi\) | |||||||
\(788\) | 2.78885 | + | 4.83042i | 0.0993485 | + | 0.172077i | ||||
\(789\) | −7.16064 | − | 9.01870i | −0.254926 | − | 0.321074i | ||||
\(790\) | −15.2337 | −0.541992 | ||||||||
\(791\) | −26.9188 | + | 44.8101i | −0.957121 | + | 1.59326i | ||||
\(792\) | 0.360197 | + | 28.9796i | 0.0127991 | + | 1.02975i | ||||
\(793\) | 0.460506 | − | 0.797619i | 0.0163530 | − | 0.0283243i | ||||
\(794\) | −6.77208 | − | 11.7296i | −0.240332 | − | 0.416267i | ||||
\(795\) | −13.8158 | + | 2.05216i | −0.489997 | + | 0.0727827i | ||||
\(796\) | −7.25336 | + | 12.5632i | −0.257089 | + | 0.445291i | ||||
\(797\) | 33.5420i | 1.18812i | 0.804422 | + | 0.594059i | \(0.202475\pi\) | ||||
−0.804422 | + | 0.594059i | \(0.797525\pi\) | |||||||
\(798\) | 20.1224 | − | 2.63283i | 0.712326 | − | 0.0932012i | ||||
\(799\) | 1.77183i | 0.0626827i | ||||||||
\(800\) | −5.04622 | + | 8.74031i | −0.178411 | + | 0.309017i | ||||
\(801\) | −1.15930 | − | 0.269831i | −0.0409619 | − | 0.00953400i | ||||
\(802\) | 18.1500 | − | 10.4789i | 0.640900 | − | 0.370024i | ||||
\(803\) | −8.79185 | − | 35.7547i | −0.310258 | − | 1.26176i | ||||
\(804\) | −9.78408 | + | 24.7734i | −0.345058 | + | 0.873689i | ||||
\(805\) | 0.143370 | − | 8.25913i | 0.00505314 | − | 0.291096i | ||||
\(806\) | − | 0.806598i | − | 0.0284112i | ||||||
\(807\) | −40.3409 | + | 32.0298i | −1.42007 | + | 1.12750i | ||||
\(808\) | −22.3794 | − | 38.7622i | −0.787303 | − | 1.36365i | ||||
\(809\) | 6.17283 | + | 10.6917i | 0.217025 | + | 0.375899i | 0.953897 | − | 0.300134i | \(-0.0970313\pi\) |
−0.736872 | + | 0.676032i | \(0.763698\pi\) | |||||||
\(810\) | 6.53689 | − | 13.2818i | 0.229683 | − | 0.466676i | ||||
\(811\) | 14.1342i | 0.496320i | 0.968719 | + | 0.248160i | \(0.0798258\pi\) | ||||
−0.968719 | + | 0.248160i | \(0.920174\pi\) | |||||||
\(812\) | 0.305136 | − | 17.5780i | 0.0107082 | − | 0.616866i | ||||
\(813\) | 24.5689 | + | 9.70334i | 0.861670 | + | 0.340311i | ||||
\(814\) | −24.6485 | + | 6.06089i | −0.863929 | + | 0.212434i | ||||
\(815\) | −6.24918 | + | 3.60796i | −0.218899 | + | 0.126381i | ||||
\(816\) | 0.872388 | − | 0.129582i | 0.0305397 | − | 0.00453628i | ||||
\(817\) | 25.1151 | − | 43.5006i | 0.878667 | − | 1.52190i | ||||
\(818\) | − | 26.2786i | − | 0.918811i | ||||||
\(819\) | −0.293829 | + | 1.17005i | −0.0102672 | + | 0.0408847i | ||||
\(820\) | 21.3780i | 0.746551i | ||||||||
\(821\) | −13.0452 | + | 22.5950i | −0.455282 | + | 0.788571i | −0.998704 | − | 0.0508880i | \(-0.983795\pi\) |
0.543423 | + | 0.839459i | \(0.317128\pi\) | |||||||
\(822\) | 2.23293 | + | 15.0328i | 0.0778822 | + | 0.524329i | ||||
\(823\) | 14.6574 | + | 25.3874i | 0.510926 | + | 0.884949i | 0.999920 | + | 0.0126623i | \(0.00403063\pi\) |
−0.488994 | + | 0.872287i | \(0.662636\pi\) | |||||||
\(824\) | −12.0070 | + | 20.7968i | −0.418285 | + | 0.724491i | ||||
\(825\) | 9.87945 | − | 4.04448i | 0.343958 | − | 0.140811i | ||||
\(826\) | 1.24150 | − | 2.06665i | 0.0431973 | − | 0.0719080i | ||||
\(827\) | −39.3096 | −1.36693 | −0.683464 | − | 0.729984i | \(-0.739527\pi\) | ||||
−0.683464 | + | 0.729984i | \(0.739527\pi\) | |||||||
\(828\) | −1.74924 | − | 5.75832i | −0.0607904 | − | 0.200116i | ||||
\(829\) | −9.37748 | − | 16.2423i | −0.325693 | − | 0.564118i | 0.655959 | − | 0.754797i | \(-0.272264\pi\) |
−0.981652 | + | 0.190679i | \(0.938931\pi\) | |||||||
\(830\) | 0.931193 | − | 0.537625i | 0.0323222 | − | 0.0186612i | ||||
\(831\) | 28.9951 | − | 23.0214i | 1.00583 | − | 0.798605i | ||||
\(832\) | − | 0.895261i | − | 0.0310376i | ||||||
\(833\) | 4.44021 | − | 7.10885i | 0.153844 | − | 0.246307i | ||||
\(834\) | −18.7980 | − | 7.42416i | −0.650922 | − | 0.257078i | ||||
\(835\) | −13.5240 | − | 7.80806i | −0.468016 | − | 0.270209i | ||||
\(836\) | −17.3111 | − | 5.02456i | −0.598717 | − | 0.173778i | ||||
\(837\) | 24.4445 | + | 16.8970i | 0.844925 | + | 0.584044i | ||||
\(838\) | 26.6956 | + | 15.4127i | 0.922184 | + | 0.532423i | ||||
\(839\) | 21.8219i | 0.753374i | 0.926341 | + | 0.376687i | \(0.122937\pi\) | ||||
−0.926341 | + | 0.376687i | \(0.877063\pi\) | |||||||
\(840\) | 14.3878 | + | 18.7815i | 0.496426 | + | 0.648025i | ||||
\(841\) | 5.04297 | 0.173896 | ||||||||
\(842\) | 14.2083 | − | 24.6096i | 0.489652 | − | 0.848102i | ||||
\(843\) | 16.3923 | − | 2.43487i | 0.564582 | − | 0.0838613i | ||||
\(844\) | 4.14589 | − | 2.39363i | 0.142707 | − | 0.0823922i | ||||
\(845\) | −19.9197 | − | 11.5006i | −0.685258 | − | 0.395634i | ||||
\(846\) | 2.81491 | − | 3.00782i | 0.0967785 | − | 0.103411i | ||||
\(847\) | 13.0470 | + | 26.0149i | 0.448300 | + | 0.893883i | ||||
\(848\) | 1.93479i | 0.0664410i | ||||||||
\(849\) | 21.8341 | − | 17.3358i | 0.749344 | − | 0.594962i | ||||
\(850\) | −1.03242 | − | 1.78821i | −0.0354117 | − | 0.0613349i | ||||
\(851\) | 12.5807 | − | 7.26350i | 0.431262 | − | 0.248990i | ||||
\(852\) | −2.36730 | + | 1.87959i | −0.0811025 | + | 0.0643935i | ||||
\(853\) | 21.3343i | 0.730472i | 0.930915 | + | 0.365236i | \(0.119012\pi\) | ||||
−0.930915 | + | 0.365236i | \(0.880988\pi\) | |||||||
\(854\) | 14.8755 | + | 0.258224i | 0.509030 | + | 0.00883626i | ||||
\(855\) | 18.5278 | + | 17.3395i | 0.633638 | + | 0.592999i | ||||
\(856\) | −9.88564 | + | 17.1224i | −0.337884 | + | 0.585233i | ||||
\(857\) | −17.9796 | − | 31.1416i | −0.614173 | − | 1.06378i | −0.990529 | − | 0.137303i | \(-0.956156\pi\) |
0.376356 | − | 0.926475i | \(-0.377177\pi\) | |||||||
\(858\) | −0.495884 | + | 0.640752i | −0.0169292 | + | 0.0218749i | ||||
\(859\) | −8.51858 | + | 14.7546i | −0.290650 | + | 0.503421i | −0.973964 | − | 0.226704i | \(-0.927205\pi\) |
0.683313 | + | 0.730125i | \(0.260538\pi\) | |||||||
\(860\) | 21.2470 | 0.724516 | ||||||||
\(861\) | −44.8225 | − | 18.6080i | −1.52755 | − | 0.634159i | ||||
\(862\) | 35.1279 | 1.19646 | ||||||||
\(863\) | 13.3327 | + | 7.69765i | 0.453851 | + | 0.262031i | 0.709455 | − | 0.704750i | \(-0.248941\pi\) |
−0.255604 | + | 0.966782i | \(0.582274\pi\) | |||||||
\(864\) | 23.2139 | + | 16.0463i | 0.789752 | + | 0.545906i | ||||
\(865\) | −23.6753 | + | 13.6689i | −0.804983 | + | 0.464757i | ||||
\(866\) | 5.22732 | − | 9.05399i | 0.177632 | − | 0.307667i | ||||
\(867\) | −9.90389 | + | 25.0767i | −0.336354 | + | 0.851650i | ||||
\(868\) | −15.0704 | + | 8.35556i | −0.511523 | + | 0.283606i | ||||
\(869\) | −22.1653 | + | 21.2666i | −0.751906 | + | 0.721419i | ||||
\(870\) | −13.0180 | + | 10.3360i | −0.441351 | + | 0.350423i | ||||
\(871\) | −1.77734 | + | 1.02615i | −0.0602229 | + | 0.0347697i | ||||
\(872\) | −29.1305 | + | 16.8185i | −0.986485 | + | 0.569547i | ||||
\(873\) | 5.56780 | − | 1.69137i | 0.188442 | − | 0.0572441i | ||||
\(874\) | −7.80058 | −0.263858 | ||||||||
\(875\) | 16.5622 | − | 27.5701i | 0.559904 | − | 0.932040i | ||||
\(876\) | −20.3677 | − | 8.04409i | −0.688161 | − | 0.271785i | ||||
\(877\) | 23.8893 | + | 13.7925i | 0.806685 | + | 0.465740i | 0.845803 | − | 0.533495i | \(-0.179122\pi\) |
−0.0391182 | + | 0.999235i | \(0.512455\pi\) | |||||||
\(878\) | −24.6201 | + | 14.2144i | −0.830890 | + | 0.479714i | ||||
\(879\) | 53.5790 | − | 7.95847i | 1.80717 | − | 0.268432i | ||||
\(880\) | 0.596945 | + | 2.42766i | 0.0201230 | + | 0.0818364i | ||||
\(881\) | − | 39.8455i | − | 1.34243i | −0.741263 | − | 0.671215i | \(-0.765773\pi\) | ||
0.741263 | − | 0.671215i | \(-0.234227\pi\) | |||||||
\(882\) | −18.8315 | + | 5.01368i | −0.634089 | + | 0.168819i | ||||
\(883\) | −36.2400 | −1.21957 | −0.609786 | − | 0.792566i | \(-0.708745\pi\) | ||||
−0.609786 | + | 0.792566i | \(0.708745\pi\) | |||||||
\(884\) | −0.179491 | − | 0.103629i | −0.00603695 | − | 0.00348543i | ||||
\(885\) | 2.98191 | − | 0.442923i | 0.100236 | − | 0.0148887i | ||||
\(886\) | −20.5732 | + | 11.8779i | −0.691169 | + | 0.399047i | ||||
\(887\) | 23.9366 | − | 41.4594i | 0.803712 | − | 1.39207i | −0.113445 | − | 0.993544i | \(-0.536189\pi\) |
0.917157 | − | 0.398526i | \(-0.130478\pi\) | |||||||
\(888\) | −15.2839 | + | 38.6990i | −0.512895 | + | 1.29865i | ||||
\(889\) | 7.80514 | − | 12.9928i | 0.261776 | − | 0.435763i | ||||
\(890\) | −0.652602 | −0.0218753 | ||||||||
\(891\) | −9.03042 | − | 28.4509i | −0.302530 | − | 0.953140i | ||||
\(892\) | 8.42720 | + | 14.5963i | 0.282164 | + | 0.488722i | ||||
\(893\) | 3.53087 | + | 6.11565i | 0.118156 | + | 0.204653i | ||||
\(894\) | 3.94115 | + | 4.96381i | 0.131812 | + | 0.166015i | ||||
\(895\) | 38.5720 | 1.28932 | ||||||||
\(896\) | −12.4854 | + | 6.92235i | −0.417108 | + | 0.231259i | ||||
\(897\) | 0.170335 | − | 0.431289i | 0.00568731 | − | 0.0144003i | ||||
\(898\) | −0.0850059 | − | 0.0490782i | −0.00283668 | − | 0.00163776i | ||||
\(899\) | −16.6837 | − | 28.8970i | −0.556432 | − | 0.963769i | ||||
\(900\) | 1.43930 | − | 6.18384i | 0.0479768 | − | 0.206128i | ||||
\(901\) | 4.71775 | + | 2.72379i | 0.157171 | + | 0.0907427i | ||||
\(902\) | −22.5662 | − | 23.5198i | −0.751371 | − | 0.783124i | ||||
\(903\) | −18.4940 | + | 44.5478i | −0.615440 | + | 1.48246i | ||||
\(904\) | 57.5499i | 1.91408i | ||||||||
\(905\) | 22.6873 | + | 13.0985i | 0.754151 | + | 0.435409i | ||||
\(906\) | 2.11588 | + | 14.2448i | 0.0702953 | + | 0.473251i | ||||
\(907\) | 4.21726 | + | 7.30450i | 0.140032 | + | 0.242542i | 0.927508 | − | 0.373802i | \(-0.121946\pi\) |
−0.787477 | + | 0.616345i | \(0.788613\pi\) | |||||||
\(908\) | −8.09500 | + | 14.0210i | −0.268642 | + | 0.465302i | ||||
\(909\) | 33.6583 | + | 31.4996i | 1.11638 | + | 1.04478i | ||||
\(910\) | −0.0114799 | + | 0.661322i | −0.000380555 | + | 0.0219226i | ||||
\(911\) | − | 8.68264i | − | 0.287669i | −0.989602 | − | 0.143834i | \(-0.954057\pi\) | ||
0.989602 | − | 0.143834i | \(-0.0459432\pi\) | |||||||
\(912\) | 2.75292 | − | 2.18575i | 0.0911581 | − | 0.0723775i | ||||
\(913\) | 0.604364 | − | 2.08221i | 0.0200015 | − | 0.0689112i | ||||
\(914\) | 28.0338 | − | 16.1853i | 0.927276 | − | 0.535363i | ||||
\(915\) | 11.5679 | + | 14.5696i | 0.382423 | + | 0.481655i | ||||
\(916\) | −33.2144 | −1.09743 | ||||||||
\(917\) | 37.7042 | − | 20.9045i | 1.24510 | − | 0.690328i | ||||
\(918\) | −5.21782 | + | 2.47161i | −0.172214 | + | 0.0815754i | ||||
\(919\) | −11.0687 | − | 6.39050i | −0.365122 | − | 0.210803i | 0.306203 | − | 0.951966i | \(-0.400941\pi\) |
−0.671325 | + | 0.741163i | \(0.734275\pi\) | |||||||
\(920\) | −4.54705 | − | 7.87571i | −0.149912 | − | 0.259655i | ||||
\(921\) | −0.235039 | − | 1.58236i | −0.00774479 | − | 0.0521404i | ||||
\(922\) | −11.4956 | + | 19.9109i | −0.378587 | + | 0.655731i | ||||
\(923\) | −0.232906 | −0.00766621 | ||||||||
\(924\) | 17.1086 | + | 2.62751i | 0.562833 | + | 0.0864388i | ||||
\(925\) | 15.3259 | 0.503914 | ||||||||
\(926\) | −4.47628 | + | 7.75314i | −0.147100 | + | 0.254784i | ||||
\(927\) | 5.60683 | − | 24.0892i | 0.184152 | − | 0.791194i | ||||
\(928\) | −15.8438 | − | 27.4422i | −0.520097 | − | 0.900835i | ||||
\(929\) | 15.3997 | + | 8.89105i | 0.505249 | + | 0.291706i | 0.730879 | − | 0.682507i | \(-0.239111\pi\) |
−0.225629 | + | 0.974213i | \(0.572444\pi\) | |||||||
\(930\) | 15.1534 | + | 5.98475i | 0.496900 | + | 0.196248i | ||||
\(931\) | 1.15942 | − | 33.3854i | 0.0379986 | − | 1.09416i | ||||
\(932\) | 12.9506 | 0.424212 | ||||||||
\(933\) | −4.53800 | + | 3.60307i | −0.148568 | + | 0.117959i | ||||
\(934\) | −29.7484 | + | 17.1753i | −0.973398 | + | 0.561992i | ||||
\(935\) | 6.75993 | + | 1.96208i | 0.221073 | + | 0.0641668i | ||||
\(936\) | 0.386037 | + | 1.27079i | 0.0126180 | + | 0.0415372i | ||||
\(937\) | − | 33.4928i | − | 1.09416i | −0.837080 | − | 0.547081i | \(-0.815739\pi\) | ||
0.837080 | − | 0.547081i | \(-0.184261\pi\) | |||||||
\(938\) | −28.4187 | − | 17.0719i | −0.927902 | − | 0.557419i | ||||
\(939\) | −6.01646 | + | 15.2337i | −0.196340 | + | 0.497134i | ||||
\(940\) | −1.49353 | + | 2.58687i | −0.0487136 | + | 0.0843744i | ||||
\(941\) | −6.90371 | − | 11.9576i | −0.225055 | − | 0.389806i | 0.731281 | − | 0.682076i | \(-0.238923\pi\) |
−0.956336 | + | 0.292270i | \(0.905589\pi\) | |||||||
\(942\) | −2.87218 | + | 0.426625i | −0.0935807 | + | 0.0139002i | ||||
\(943\) | 16.1553 | + | 9.32727i | 0.526089 | + | 0.303738i | ||||
\(944\) | − | 0.417590i | − | 0.0135914i | ||||||
\(945\) | −19.8013 | − | 14.2016i | −0.644137 | − | 0.461977i | ||||
\(946\) | −23.3757 | + | 22.4279i | −0.760009 | + | 0.729193i | ||||
\(947\) | 25.4680 | + | 14.7040i | 0.827599 | + | 0.477814i | 0.853030 | − | 0.521862i | \(-0.174763\pi\) |
−0.0254311 | + | 0.999677i | \(0.508096\pi\) | |||||||
\(948\) | 2.68422 | + | 18.0710i | 0.0871794 | + | 0.586920i | ||||
\(949\) | −0.843660 | − | 1.46126i | −0.0273864 | − | 0.0474346i | ||||
\(950\) | −7.12703 | − | 4.11479i | −0.231231 | − | 0.133502i | ||||
\(951\) | 16.1045 | + | 6.36037i | 0.522224 | + | 0.206249i | ||||
\(952\) | 0.160157 | − | 9.22616i | 0.00519072 | − | 0.299022i | ||||
\(953\) | −33.8109 | −1.09524 | −0.547622 | − | 0.836726i | \(-0.684467\pi\) | ||||
−0.547622 | + | 0.836726i | \(0.684467\pi\) | |||||||
\(954\) | −3.68145 | − | 12.1190i | −0.119191 | − | 0.392366i | ||||
\(955\) | −1.90165 | − | 3.29375i | −0.0615359 | − | 0.106583i | ||||
\(956\) | −3.88003 | − | 6.72040i | −0.125489 | − | 0.217353i | ||||
\(957\) | −4.51212 | + | 33.2123i | −0.145856 | + | 1.07360i | ||||
\(958\) | −7.52704 | −0.243188 | ||||||||
\(959\) | 25.0130 | + | 0.434201i | 0.807711 | + | 0.0140211i | ||||
\(960\) | 16.8191 | + | 6.64261i | 0.542835 | + | 0.214389i | ||||
\(961\) | −0.852602 | + | 1.47675i | −0.0275033 | + | 0.0476371i | ||||
\(962\) | −1.00736 | + | 0.581600i | −0.0324786 | + | 0.0187515i | ||||
\(963\) | 4.61622 | − | 19.8331i | 0.148755 | − | 0.639114i | ||||
\(964\) | 6.00999 | + | 3.46987i | 0.193569 | + | 0.111757i | ||||
\(965\) | −30.7299 | −0.989229 | ||||||||
\(966\) | 7.42728 | − | 0.971791i | 0.238969 | − | 0.0312669i | ||||
\(967\) | 29.7757i | 0.957521i | 0.877946 | + | 0.478760i | \(0.158914\pi\) | ||||
−0.877946 | + | 0.478760i | \(0.841086\pi\) | |||||||
\(968\) | 27.0615 | + | 17.1545i | 0.869791 | + | 0.551366i | ||||
\(969\) | −1.45414 | − | 9.78974i | −0.0467137 | − | 0.314492i | ||||
\(970\) | 2.76297 | − | 1.59520i | 0.0887138 | − | 0.0512189i | ||||
\(971\) | 28.0736 | + | 16.2083i | 0.900925 | + | 0.520149i | 0.877500 | − | 0.479576i | \(-0.159210\pi\) |
0.0234247 | + | 0.999726i | \(0.492543\pi\) | |||||||
\(972\) | −16.9074 | − | 5.41411i | −0.542306 | − | 0.173658i | ||||
\(973\) | −17.1321 | + | 28.5187i | −0.549229 | + | 0.914269i | ||||
\(974\) | 5.39905 | 0.172997 | ||||||||
\(975\) | 0.383131 | − | 0.304198i | 0.0122700 | − | 0.00974212i | ||||
\(976\) | 2.23173 | − | 1.28849i | 0.0714360 | − | 0.0412436i | ||||
\(977\) | 43.8322 | − | 25.3065i | 1.40232 | − | 0.809627i | 0.407685 | − | 0.913122i | \(-0.366336\pi\) |
0.994630 | + | 0.103495i | \(0.0330027\pi\) | |||||||
\(978\) | −4.06883 | − | 5.12461i | −0.130107 | − | 0.163867i | ||||
\(979\) | −0.949544 | + | 0.911043i | −0.0303476 | + | 0.0291171i | ||||
\(980\) | 12.4750 | − | 6.63615i | 0.398499 | − | 0.211984i | ||||
\(981\) | 23.6726 | − | 25.2949i | 0.755807 | − | 0.807604i | ||||
\(982\) | −2.66497 | + | 4.61586i | −0.0850425 | + | 0.147298i | ||||
\(983\) | −36.3227 | + | 20.9709i | −1.15851 | + | 0.668868i | −0.950947 | − | 0.309354i | \(-0.899887\pi\) |
−0.207566 | + | 0.978221i | \(0.566554\pi\) | |||||||
\(984\) | −52.8500 | + | 7.85018i | −1.68480 | + | 0.250254i | ||||
\(985\) | −7.51786 | − | 4.34044i | −0.239539 | − | 0.138298i | ||||
\(986\) | 6.48304 | 0.206462 | ||||||||
\(987\) | −4.12379 | − | 5.38312i | −0.131262 | − | 0.171347i | ||||
\(988\) | −0.826046 | −0.0262800 | ||||||||
\(989\) | 9.27011 | − | 16.0563i | 0.294772 | − | 0.510561i | ||||
\(990\) | −8.35836 | − | 14.0703i | −0.265646 | − | 0.447184i | ||||
\(991\) | 7.15394 | + | 12.3910i | 0.227253 | + | 0.393613i | 0.956993 | − | 0.290111i | \(-0.0936924\pi\) |
−0.729740 | + | 0.683724i | \(0.760359\pi\) | |||||||
\(992\) | −15.5293 | + | 26.8976i | −0.493057 | + | 0.854000i | ||||
\(993\) | −2.88437 | + | 7.30325i | −0.0915328 | + | 0.231762i | ||||
\(994\) | −1.82432 | − | 3.29041i | −0.0578639 | − | 0.104366i | ||||
\(995\) | − | 22.5776i | − | 0.715759i | ||||||
\(996\) | −0.801836 | − | 1.00990i | −0.0254072 | − | 0.0319999i | ||||
\(997\) | 42.0803 | − | 24.2950i | 1.33270 | − | 0.769432i | 0.346983 | − | 0.937871i | \(-0.387206\pi\) |
0.985712 | + | 0.168440i | \(0.0538728\pi\) | |||||||
\(998\) | −6.09672 | − | 10.5598i | −0.192988 | − | 0.334266i | ||||
\(999\) | 3.47684 | − | 42.7123i | 0.110002 | − | 1.35136i |
(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.l.b.65.11 | yes | 48 | |
3.2 | odd | 2 | inner | 231.2.l.b.65.14 | yes | 48 | |
7.4 | even | 3 | inner | 231.2.l.b.32.12 | yes | 48 | |
11.10 | odd | 2 | inner | 231.2.l.b.65.13 | yes | 48 | |
21.11 | odd | 6 | inner | 231.2.l.b.32.13 | yes | 48 | |
33.32 | even | 2 | inner | 231.2.l.b.65.12 | yes | 48 | |
77.32 | odd | 6 | inner | 231.2.l.b.32.14 | yes | 48 | |
231.32 | even | 6 | inner | 231.2.l.b.32.11 | ✓ | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.l.b.32.11 | ✓ | 48 | 231.32 | even | 6 | inner | |
231.2.l.b.32.12 | yes | 48 | 7.4 | even | 3 | inner | |
231.2.l.b.32.13 | yes | 48 | 21.11 | odd | 6 | inner | |
231.2.l.b.32.14 | yes | 48 | 77.32 | odd | 6 | inner | |
231.2.l.b.65.11 | yes | 48 | 1.1 | even | 1 | trivial | |
231.2.l.b.65.12 | yes | 48 | 33.32 | even | 2 | inner | |
231.2.l.b.65.13 | yes | 48 | 11.10 | odd | 2 | inner | |
231.2.l.b.65.14 | yes | 48 | 3.2 | odd | 2 | inner |