Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(123,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.123");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bg (of order \(12\), degree \(4\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 123.3 | ||
Character | \(\chi\) | \(=\) | 403.123 |
Dual form | 403.2.bg.a.154.3 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.623506 | − | 2.32695i | −0.440885 | − | 1.64541i | −0.726578 | − | 0.687084i | \(-0.758890\pi\) |
0.285693 | − | 0.958321i | \(-0.407776\pi\) | |||||||
\(3\) | −1.53051 | − | 0.883643i | −0.883643 | − | 0.510172i | −0.0117853 | − | 0.999931i | \(-0.503751\pi\) |
−0.871858 | + | 0.489759i | \(0.837085\pi\) | |||||||
\(4\) | −3.29391 | + | 1.90174i | −1.64695 | + | 0.950870i | ||||
\(5\) | 2.78278 | − | 2.78278i | 1.24449 | − | 1.24449i | 0.286378 | − | 0.958117i | \(-0.407549\pi\) |
0.958117 | − | 0.286378i | \(-0.0924514\pi\) | |||||||
\(6\) | −1.10191 | + | 4.11240i | −0.449854 | + | 1.67888i | ||||
\(7\) | 0.171705 | − | 0.640810i | 0.0648982 | − | 0.242203i | −0.925855 | − | 0.377879i | \(-0.876654\pi\) |
0.990753 | + | 0.135675i | \(0.0433203\pi\) | |||||||
\(8\) | 3.07213 | + | 3.07213i | 1.08616 | + | 1.08616i | ||||
\(9\) | 0.0616504 | + | 0.106782i | 0.0205501 | + | 0.0355939i | ||||
\(10\) | −8.21047 | − | 4.74032i | −2.59638 | − | 1.49902i | ||||
\(11\) | −1.24557 | − | 4.64854i | −0.375554 | − | 1.40159i | −0.852533 | − | 0.522673i | \(-0.824935\pi\) |
0.476979 | − | 0.878915i | \(-0.341732\pi\) | |||||||
\(12\) | 6.72183 | 1.94043 | ||||||||
\(13\) | −2.93317 | + | 2.09678i | −0.813516 | + | 0.581543i | ||||
\(14\) | −1.59820 | −0.427136 | ||||||||
\(15\) | −6.71806 | + | 1.80010i | −1.73460 | + | 0.464783i | ||||
\(16\) | 1.42974 | − | 2.47639i | 0.357436 | − | 0.619098i | ||||
\(17\) | 1.07392 | + | 1.86009i | 0.260464 | + | 0.451137i | 0.966365 | − | 0.257173i | \(-0.0827911\pi\) |
−0.705901 | + | 0.708310i | \(0.749458\pi\) | |||||||
\(18\) | 0.210037 | − | 0.210037i | 0.0495061 | − | 0.0495061i | ||||
\(19\) | 1.85348 | + | 0.496639i | 0.425218 | + | 0.113937i | 0.465080 | − | 0.885268i | \(-0.346025\pi\) |
−0.0398628 | + | 0.999205i | \(0.512692\pi\) | |||||||
\(20\) | −3.87409 | + | 14.4583i | −0.866274 | + | 3.23298i | ||||
\(21\) | −0.829044 | + | 0.829044i | −0.180912 | + | 0.180912i | ||||
\(22\) | −10.0403 | + | 5.79678i | −2.14060 | + | 1.23588i | ||||
\(23\) | 3.42429 | − | 5.93104i | 0.714013 | − | 1.23671i | −0.249326 | − | 0.968420i | \(-0.580209\pi\) |
0.963339 | − | 0.268287i | \(-0.0864576\pi\) | |||||||
\(24\) | −1.98728 | − | 7.41661i | −0.405651 | − | 1.51391i | ||||
\(25\) | − | 10.4877i | − | 2.09753i | ||||||
\(26\) | 6.70797 | + | 5.51800i | 1.31554 | + | 1.08217i | ||||
\(27\) | 5.08395i | 0.978407i | ||||||||
\(28\) | 0.653075 | + | 2.43731i | 0.123419 | + | 0.460608i | ||||
\(29\) | 4.82190 | + | 2.78392i | 0.895404 | + | 0.516961i | 0.875706 | − | 0.482845i | \(-0.160396\pi\) |
0.0196974 | + | 0.999806i | \(0.493730\pi\) | |||||||
\(30\) | 8.37750 | + | 14.5102i | 1.52951 | + | 2.64920i | ||||
\(31\) | −1.63229 | + | 5.32312i | −0.293168 | + | 0.956061i | ||||
\(32\) | 1.73932 | + | 0.466050i | 0.307472 | + | 0.0823867i | ||||
\(33\) | −2.20128 | + | 8.21530i | −0.383194 | + | 1.43010i | ||||
\(34\) | 3.65874 | − | 3.65874i | 0.627469 | − | 0.627469i | ||||
\(35\) | −1.30542 | − | 2.26105i | −0.220655 | − | 0.382186i | ||||
\(36\) | −0.406142 | − | 0.234486i | −0.0676903 | − | 0.0390810i | ||||
\(37\) | 1.44464 | + | 5.39148i | 0.237498 | + | 0.886354i | 0.977007 | + | 0.213208i | \(0.0683910\pi\) |
−0.739509 | + | 0.673147i | \(0.764942\pi\) | |||||||
\(38\) | − | 4.62262i | − | 0.749888i | ||||||
\(39\) | 6.34207 | − | 0.617281i | 1.01554 | − | 0.0988440i | ||||
\(40\) | 17.0981 | 2.70345 | ||||||||
\(41\) | 0.838659 | + | 3.12992i | 0.130977 | + | 0.488811i | 0.999982 | − | 0.00599124i | \(-0.00190708\pi\) |
−0.869005 | + | 0.494802i | \(0.835240\pi\) | |||||||
\(42\) | 2.44606 | + | 1.41223i | 0.377435 | + | 0.217912i | ||||
\(43\) | −4.83361 | − | 8.37206i | −0.737119 | − | 1.27673i | −0.953788 | − | 0.300482i | \(-0.902853\pi\) |
0.216669 | − | 0.976245i | \(-0.430481\pi\) | |||||||
\(44\) | 12.9431 | + | 12.9431i | 1.95125 | + | 1.95125i | ||||
\(45\) | 0.468709 | + | 0.125590i | 0.0698709 | + | 0.0187219i | ||||
\(46\) | −15.9363 | − | 4.27012i | −2.34968 | − | 0.629595i | ||||
\(47\) | −5.51247 | − | 5.51247i | −0.804077 | − | 0.804077i | 0.179653 | − | 0.983730i | \(-0.442502\pi\) |
−0.983730 | + | 0.179653i | \(0.942502\pi\) | |||||||
\(48\) | −4.37649 | + | 2.52677i | −0.631692 | + | 0.364708i | ||||
\(49\) | 5.68102 | + | 3.27994i | 0.811575 | + | 0.468563i | ||||
\(50\) | −24.4043 | + | 6.53912i | −3.45130 | + | 0.924772i | ||||
\(51\) | − | 3.79585i | − | 0.531526i | ||||||
\(52\) | 5.67407 | − | 12.4847i | 0.786851 | − | 1.73132i | ||||
\(53\) | − | 5.92408i | − | 0.813734i | −0.913487 | − | 0.406867i | \(-0.866621\pi\) | ||
0.913487 | − | 0.406867i | \(-0.133379\pi\) | |||||||
\(54\) | 11.8301 | − | 3.16987i | 1.60988 | − | 0.431365i | ||||
\(55\) | −16.4020 | − | 9.46969i | −2.21164 | − | 1.27689i | ||||
\(56\) | 2.49615 | − | 1.44115i | 0.333563 | − | 0.192582i | ||||
\(57\) | −2.39793 | − | 2.39793i | −0.317613 | − | 0.317613i | ||||
\(58\) | 3.47158 | − | 12.9561i | 0.455841 | − | 1.70122i | ||||
\(59\) | −2.78581 | + | 10.3968i | −0.362681 | + | 1.35354i | 0.507856 | + | 0.861442i | \(0.330438\pi\) |
−0.870537 | + | 0.492102i | \(0.836229\pi\) | |||||||
\(60\) | 18.7054 | − | 18.7054i | 2.41485 | − | 2.41485i | ||||
\(61\) | 3.47930 | − | 2.00877i | 0.445479 | − | 0.257197i | −0.260440 | − | 0.965490i | \(-0.583868\pi\) |
0.705919 | + | 0.708293i | \(0.250534\pi\) | |||||||
\(62\) | 13.4044 | + | 0.479263i | 1.70236 | + | 0.0608664i | ||||
\(63\) | 0.0790124 | − | 0.0211713i | 0.00995463 | − | 0.00266734i | ||||
\(64\) | − | 10.0569i | − | 1.25711i | ||||||
\(65\) | −2.32748 | + | 13.9972i | −0.288689 | + | 1.73614i | ||||
\(66\) | 20.4892 | 2.52204 | ||||||||
\(67\) | −0.369410 | − | 1.37866i | −0.0451306 | − | 0.168430i | 0.939682 | − | 0.342048i | \(-0.111121\pi\) |
−0.984813 | + | 0.173619i | \(0.944454\pi\) | |||||||
\(68\) | −7.07480 | − | 4.08464i | −0.857945 | − | 0.495335i | ||||
\(69\) | −10.4818 | + | 6.05169i | −1.26187 | + | 0.728538i | ||||
\(70\) | −4.44742 | + | 4.44742i | −0.531568 | + | 0.531568i | ||||
\(71\) | −0.922107 | − | 0.247078i | −0.109434 | − | 0.0293227i | 0.203686 | − | 0.979036i | \(-0.434708\pi\) |
−0.313120 | + | 0.949713i | \(0.601374\pi\) | |||||||
\(72\) | −0.138649 | + | 0.517446i | −0.0163400 | + | 0.0609816i | ||||
\(73\) | −4.20236 | + | 4.20236i | −0.491849 | + | 0.491849i | −0.908888 | − | 0.417039i | \(-0.863068\pi\) |
0.417039 | + | 0.908888i | \(0.363068\pi\) | |||||||
\(74\) | 11.6450 | − | 6.72324i | 1.35370 | − | 0.781561i | ||||
\(75\) | −9.26736 | + | 16.0515i | −1.07010 | + | 1.85347i | ||||
\(76\) | −7.04967 | + | 1.88895i | −0.808653 | + | 0.216678i | ||||
\(77\) | −3.19270 | −0.363842 | ||||||||
\(78\) | −5.39070 | − | 14.3728i | −0.610377 | − | 1.62740i | ||||
\(79\) | − | 0.991670i | − | 0.111572i | −0.998443 | − | 0.0557858i | \(-0.982234\pi\) | ||
0.998443 | − | 0.0557858i | \(-0.0177664\pi\) | |||||||
\(80\) | −2.91258 | − | 10.8699i | −0.325636 | − | 1.21529i | ||||
\(81\) | 4.67735 | − | 8.10141i | 0.519706 | − | 0.900156i | ||||
\(82\) | 6.76027 | − | 3.90304i | 0.746547 | − | 0.431019i | ||||
\(83\) | −6.12804 | − | 6.12804i | −0.672639 | − | 0.672639i | 0.285684 | − | 0.958324i | \(-0.407779\pi\) |
−0.958324 | + | 0.285684i | \(0.907779\pi\) | |||||||
\(84\) | 1.15417 | − | 4.30742i | 0.125930 | − | 0.469978i | ||||
\(85\) | 8.16468 | + | 2.18772i | 0.885584 | + | 0.237292i | ||||
\(86\) | −16.4676 | + | 16.4676i | −1.77575 | + | 1.77575i | ||||
\(87\) | −4.91999 | − | 8.52167i | −0.527478 | − | 0.913619i | ||||
\(88\) | 10.4544 | − | 18.1075i | 1.11444 | − | 1.93027i | ||||
\(89\) | −3.15124 | − | 11.7606i | −0.334030 | − | 1.24662i | −0.904917 | − | 0.425589i | \(-0.860067\pi\) |
0.570886 | − | 0.821029i | \(-0.306600\pi\) | |||||||
\(90\) | − | 1.16897i | − | 0.123220i | ||||||
\(91\) | 0.840001 | + | 2.23963i | 0.0880560 | + | 0.234777i | ||||
\(92\) | 26.0484i | 2.71573i | ||||||||
\(93\) | 7.20198 | − | 6.70476i | 0.746811 | − | 0.695251i | ||||
\(94\) | −9.39022 | + | 16.2643i | −0.968527 | + | 1.67754i | ||||
\(95\) | 6.53985 | − | 3.77579i | 0.670975 | − | 0.387387i | ||||
\(96\) | −2.25024 | − | 2.25024i | −0.229664 | − | 0.229664i | ||||
\(97\) | 14.7939 | + | 3.96402i | 1.50209 | + | 0.402485i | 0.913801 | − | 0.406162i | \(-0.133133\pi\) |
0.588294 | + | 0.808647i | \(0.299800\pi\) | |||||||
\(98\) | 4.09012 | − | 15.2645i | 0.413165 | − | 1.54195i | ||||
\(99\) | 0.419589 | − | 0.419589i | 0.0421703 | − | 0.0421703i | ||||
\(100\) | 19.9448 | + | 34.5454i | 1.99448 | + | 3.45454i | ||||
\(101\) | 3.91095 | + | 2.25799i | 0.389154 | + | 0.224678i | 0.681793 | − | 0.731545i | \(-0.261200\pi\) |
−0.292640 | + | 0.956223i | \(0.594534\pi\) | |||||||
\(102\) | −8.83278 | + | 2.36674i | −0.874575 | + | 0.234342i | ||||
\(103\) | − | 16.9989i | − | 1.67495i | −0.546477 | − | 0.837474i | \(-0.684031\pi\) | ||
0.546477 | − | 0.837474i | \(-0.315969\pi\) | |||||||
\(104\) | −15.4527 | − | 2.56950i | −1.51526 | − | 0.251960i | ||||
\(105\) | 4.61409i | 0.450289i | ||||||||
\(106\) | −13.7851 | + | 3.69369i | −1.33892 | + | 0.358763i | ||||
\(107\) | 0.679363 | − | 1.17669i | 0.0656765 | − | 0.113755i | −0.831317 | − | 0.555798i | \(-0.812413\pi\) |
0.896994 | + | 0.442043i | \(0.145746\pi\) | |||||||
\(108\) | −9.66835 | − | 16.7461i | −0.930337 | − | 1.61139i | ||||
\(109\) | −6.79409 | + | 6.79409i | −0.650756 | + | 0.650756i | −0.953175 | − | 0.302419i | \(-0.902206\pi\) |
0.302419 | + | 0.953175i | \(0.402206\pi\) | |||||||
\(110\) | −11.8088 | + | 44.0711i | −1.12593 | + | 4.20201i | ||||
\(111\) | 2.55310 | − | 9.52829i | 0.242329 | − | 0.904385i | ||||
\(112\) | −1.34140 | − | 1.34140i | −0.126751 | − | 0.126751i | ||||
\(113\) | −6.44724 | − | 11.1669i | −0.606505 | − | 1.05050i | −0.991812 | − | 0.127709i | \(-0.959237\pi\) |
0.385306 | − | 0.922789i | \(-0.374096\pi\) | |||||||
\(114\) | −4.08475 | + | 7.07499i | −0.382572 | + | 0.662634i | ||||
\(115\) | −6.97572 | − | 26.0338i | −0.650490 | − | 2.42766i | ||||
\(116\) | −21.1772 | −1.96625 | ||||||||
\(117\) | −0.404729 | − | 0.183941i | −0.0374172 | − | 0.0170054i | ||||
\(118\) | 25.9298 | 2.38703 | ||||||||
\(119\) | 1.37636 | − | 0.368794i | 0.126171 | − | 0.0338073i | ||||
\(120\) | −26.1689 | − | 15.1086i | −2.38888 | − | 1.37922i | ||||
\(121\) | −10.5312 | + | 6.08019i | −0.957382 | + | 0.552745i | ||||
\(122\) | −6.84369 | − | 6.84369i | −0.619598 | − | 0.619598i | ||||
\(123\) | 1.48215 | − | 5.53146i | 0.133641 | − | 0.498755i | ||||
\(124\) | −4.74658 | − | 20.6381i | −0.426256 | − | 1.85335i | ||||
\(125\) | −15.2710 | − | 15.2710i | −1.36588 | − | 1.36588i | ||||
\(126\) | −0.0985294 | − | 0.170658i | −0.00877770 | − | 0.0152034i | ||||
\(127\) | 2.82608 | − | 4.89491i | 0.250774 | − | 0.434353i | −0.712965 | − | 0.701199i | \(-0.752648\pi\) |
0.963739 | + | 0.266846i | \(0.0859816\pi\) | |||||||
\(128\) | −19.9233 | + | 5.33843i | −1.76099 | + | 0.471855i | ||||
\(129\) | 17.0847i | 1.50423i | ||||||||
\(130\) | 34.0221 | − | 3.31141i | 2.98394 | − | 0.290430i | ||||
\(131\) | 4.45897 | 0.389582 | 0.194791 | − | 0.980845i | \(-0.437597\pi\) | ||||
0.194791 | + | 0.980845i | \(0.437597\pi\) | |||||||
\(132\) | −8.37253 | − | 31.2467i | −0.728736 | − | 2.71968i | ||||
\(133\) | 0.636502 | − | 1.10245i | 0.0551917 | − | 0.0955949i | ||||
\(134\) | −2.97774 | + | 1.71920i | −0.257238 | + | 0.148516i | ||||
\(135\) | 14.1475 | + | 14.1475i | 1.21762 | + | 1.21762i | ||||
\(136\) | −2.41520 | + | 9.01366i | −0.207102 | + | 0.772915i | ||||
\(137\) | −8.19446 | − | 2.19570i | −0.700100 | − | 0.187591i | −0.108825 | − | 0.994061i | \(-0.534709\pi\) |
−0.591275 | + | 0.806470i | \(0.701375\pi\) | |||||||
\(138\) | 20.6175 | + | 20.6175i | 1.75508 | + | 1.75508i | ||||
\(139\) | 1.82308 | − | 1.05256i | 0.154632 | − | 0.0892767i | −0.420688 | − | 0.907206i | \(-0.638211\pi\) |
0.575319 | + | 0.817929i | \(0.304878\pi\) | |||||||
\(140\) | 8.59984 | + | 4.96512i | 0.726819 | + | 0.419629i | ||||
\(141\) | 3.56586 | + | 13.3080i | 0.300300 | + | 1.12073i | ||||
\(142\) | 2.29975i | 0.192991i | ||||||||
\(143\) | 13.4005 | + | 11.0233i | 1.12060 | + | 0.921813i | ||||
\(144\) | 0.352577 | 0.0293814 | ||||||||
\(145\) | 21.1653 | − | 5.67122i | 1.75768 | − | 0.470969i | ||||
\(146\) | 12.3989 | + | 7.15851i | 1.02614 | + | 0.592442i | ||||
\(147\) | −5.79659 | − | 10.0400i | −0.478095 | − | 0.828085i | ||||
\(148\) | −15.0117 | − | 15.0117i | −1.23396 | − | 1.23396i | ||||
\(149\) | 6.18832 | + | 1.65815i | 0.506967 | + | 0.135841i | 0.503231 | − | 0.864152i | \(-0.332144\pi\) |
0.00373527 | + | 0.999993i | \(0.498811\pi\) | |||||||
\(150\) | 43.1295 | + | 11.5565i | 3.52151 | + | 0.943585i | ||||
\(151\) | 12.9029 | − | 12.9029i | 1.05002 | − | 1.05002i | 0.0513397 | − | 0.998681i | \(-0.483651\pi\) |
0.998681 | − | 0.0513397i | \(-0.0163491\pi\) | |||||||
\(152\) | 4.16840 | + | 7.21988i | 0.338102 | + | 0.585610i | ||||
\(153\) | −0.132415 | + | 0.229350i | −0.0107052 | + | 0.0185419i | ||||
\(154\) | 1.99067 | + | 7.42928i | 0.160413 | + | 0.598668i | ||||
\(155\) | 10.2708 | + | 19.3553i | 0.824968 | + | 1.55466i | ||||
\(156\) | −19.7163 | + | 14.0942i | −1.57857 | + | 1.12844i | ||||
\(157\) | 4.91577 | 0.392321 | 0.196160 | − | 0.980572i | \(-0.437153\pi\) | ||||
0.196160 | + | 0.980572i | \(0.437153\pi\) | |||||||
\(158\) | −2.30757 | + | 0.618312i | −0.183580 | + | 0.0491902i | ||||
\(159\) | −5.23477 | + | 9.06689i | −0.415144 | + | 0.719051i | ||||
\(160\) | 6.13705 | − | 3.54323i | 0.485177 | − | 0.280117i | ||||
\(161\) | −3.21270 | − | 3.21270i | −0.253196 | − | 0.253196i | ||||
\(162\) | −21.7680 | − | 5.83271i | −1.71025 | − | 0.458261i | ||||
\(163\) | −1.48823 | + | 5.55416i | −0.116567 | + | 0.435035i | −0.999399 | − | 0.0346535i | \(-0.988967\pi\) |
0.882832 | + | 0.469689i | \(0.155634\pi\) | |||||||
\(164\) | −8.71476 | − | 8.71476i | −0.680508 | − | 0.680508i | ||||
\(165\) | 16.7357 | + | 28.9870i | 1.30287 | + | 2.25664i | ||||
\(166\) | −10.4388 | + | 18.0805i | −0.810208 | + | 1.40332i | ||||
\(167\) | −2.67965 | − | 10.0006i | −0.207357 | − | 0.773868i | −0.988718 | − | 0.149788i | \(-0.952141\pi\) |
0.781361 | − | 0.624080i | \(-0.214526\pi\) | |||||||
\(168\) | −5.09387 | −0.393000 | ||||||||
\(169\) | 4.20700 | − | 12.3005i | 0.323615 | − | 0.946189i | ||||
\(170\) | − | 20.3629i | − | 1.56176i | ||||||
\(171\) | 0.0612359 | + | 0.228536i | 0.00468283 | + | 0.0174766i | ||||
\(172\) | 31.8429 | + | 18.3845i | 2.42800 | + | 1.40181i | ||||
\(173\) | −9.96541 | + | 5.75353i | −0.757656 | + | 0.437433i | −0.828454 | − | 0.560058i | \(-0.810779\pi\) |
0.0707973 | + | 0.997491i | \(0.477446\pi\) | |||||||
\(174\) | −16.7619 | + | 16.7619i | −1.27072 | + | 1.27072i | ||||
\(175\) | −6.72061 | − | 1.80078i | −0.508030 | − | 0.136126i | ||||
\(176\) | −13.2925 | − | 3.56170i | −1.00196 | − | 0.268473i | ||||
\(177\) | 13.4508 | − | 13.4508i | 1.01102 | − | 1.01102i | ||||
\(178\) | −25.4015 | + | 14.6656i | −1.90392 | + | 1.09923i | ||||
\(179\) | −4.10218 | + | 7.10518i | −0.306611 | + | 0.531066i | −0.977619 | − | 0.210384i | \(-0.932528\pi\) |
0.671008 | + | 0.741451i | \(0.265862\pi\) | |||||||
\(180\) | −1.78272 | + | 0.477679i | −0.132876 | + | 0.0356041i | ||||
\(181\) | −8.83634 | −0.656800 | −0.328400 | − | 0.944539i | \(-0.606509\pi\) | ||||
−0.328400 | + | 0.944539i | \(0.606509\pi\) | |||||||
\(182\) | 4.68778 | − | 3.35107i | 0.347481 | − | 0.248398i | ||||
\(183\) | −7.10016 | −0.524859 | ||||||||
\(184\) | 28.7408 | − | 7.70107i | 2.11880 | − | 0.567731i | ||||
\(185\) | 19.0234 | + | 10.9832i | 1.39863 | + | 0.807498i | ||||
\(186\) | −20.0921 | − | 12.5782i | −1.47323 | − | 0.922281i | ||||
\(187\) | 7.30904 | − | 7.30904i | 0.534490 | − | 0.534490i | ||||
\(188\) | 28.6409 | + | 7.67430i | 2.08885 | + | 0.559706i | ||||
\(189\) | 3.25785 | + | 0.872938i | 0.236974 | + | 0.0634969i | ||||
\(190\) | −12.8637 | − | 12.8637i | −0.933232 | − | 0.933232i | ||||
\(191\) | −5.58170 | − | 9.66779i | −0.403878 | − | 0.699537i | 0.590312 | − | 0.807175i | \(-0.299005\pi\) |
−0.994190 | + | 0.107638i | \(0.965671\pi\) | |||||||
\(192\) | −8.88670 | + | 15.3922i | −0.641342 | + | 1.11084i | ||||
\(193\) | 18.4931 | − | 4.95522i | 1.33117 | − | 0.356685i | 0.478016 | − | 0.878351i | \(-0.341356\pi\) |
0.853150 | + | 0.521666i | \(0.174689\pi\) | |||||||
\(194\) | − | 36.8964i | − | 2.64900i | ||||||
\(195\) | 15.9308 | − | 19.3663i | 1.14083 | − | 1.38685i | ||||
\(196\) | −24.9504 | −1.78217 | ||||||||
\(197\) | 19.3693 | − | 5.18997i | 1.38000 | − | 0.369770i | 0.508880 | − | 0.860837i | \(-0.330060\pi\) |
0.871122 | + | 0.491067i | \(0.163393\pi\) | |||||||
\(198\) | −1.23798 | − | 0.714748i | −0.0879794 | − | 0.0507949i | ||||
\(199\) | 8.00358 | + | 13.8626i | 0.567359 | + | 0.982695i | 0.996826 | + | 0.0796121i | \(0.0253682\pi\) |
−0.429467 | + | 0.903083i | \(0.641298\pi\) | |||||||
\(200\) | 32.2195 | − | 32.2195i | 2.27826 | − | 2.27826i | ||||
\(201\) | −0.652854 | + | 2.43648i | −0.0460487 | + | 0.171856i | ||||
\(202\) | 2.81574 | − | 10.5085i | 0.198114 | − | 0.739373i | ||||
\(203\) | 2.61191 | − | 2.61191i | 0.183320 | − | 0.183320i | ||||
\(204\) | 7.21872 | + | 12.5032i | 0.505412 | + | 0.875399i | ||||
\(205\) | 11.0437 | + | 6.37606i | 0.771323 | + | 0.445323i | ||||
\(206\) | −39.5556 | + | 10.5989i | −2.75597 | + | 0.738460i | ||||
\(207\) | 0.844434 | 0.0586923 | ||||||||
\(208\) | 0.998767 | + | 10.2615i | 0.0692520 | + | 0.711510i | ||||
\(209\) | − | 9.23458i | − | 0.638769i | ||||||
\(210\) | 10.7368 | − | 2.87691i | 0.740907 | − | 0.198526i | ||||
\(211\) | −10.0261 | + | 17.3657i | −0.690225 | + | 1.19550i | 0.281540 | + | 0.959550i | \(0.409155\pi\) |
−0.971764 | + | 0.235954i | \(0.924178\pi\) | |||||||
\(212\) | 11.2660 | + | 19.5134i | 0.773755 | + | 1.34018i | ||||
\(213\) | 1.19297 | + | 1.19297i | 0.0817409 | + | 0.0817409i | ||||
\(214\) | −3.16169 | − | 0.847173i | −0.216129 | − | 0.0579116i | ||||
\(215\) | −36.7484 | − | 9.84670i | −2.50622 | − | 0.671540i | ||||
\(216\) | −15.6186 | + | 15.6186i | −1.06271 | + | 1.06271i | ||||
\(217\) | 3.13084 | + | 1.95999i | 0.212535 | + | 0.133053i | ||||
\(218\) | 20.0457 | + | 11.5734i | 1.35767 | + | 0.783849i | ||||
\(219\) | 10.1452 | − | 2.71839i | 0.685547 | − | 0.183692i | ||||
\(220\) | 72.0356 | 4.85664 | ||||||||
\(221\) | −7.05020 | − | 3.20417i | −0.474247 | − | 0.215536i | ||||
\(222\) | −23.7638 | −1.59492 | ||||||||
\(223\) | −6.37652 | + | 1.70858i | −0.427003 | + | 0.114415i | −0.465919 | − | 0.884827i | \(-0.654276\pi\) |
0.0389158 | + | 0.999242i | \(0.487610\pi\) | |||||||
\(224\) | 0.597299 | − | 1.03455i | 0.0399087 | − | 0.0691239i | ||||
\(225\) | 1.11989 | − | 0.646569i | 0.0746594 | − | 0.0431046i | ||||
\(226\) | −21.9651 | + | 21.9651i | −1.46110 | + | 1.46110i | ||||
\(227\) | −12.8480 | − | 3.44261i | −0.852750 | − | 0.228494i | −0.194136 | − | 0.980975i | \(-0.562190\pi\) |
−0.658614 | + | 0.752481i | \(0.728857\pi\) | |||||||
\(228\) | 12.4588 | + | 3.33832i | 0.825103 | + | 0.221086i | ||||
\(229\) | −12.1778 | + | 12.1778i | −0.804733 | + | 0.804733i | −0.983831 | − | 0.179098i | \(-0.942682\pi\) |
0.179098 | + | 0.983831i | \(0.442682\pi\) | |||||||
\(230\) | −56.2300 | + | 32.4644i | −3.70769 | + | 2.14064i | ||||
\(231\) | 4.88648 | + | 2.82121i | 0.321507 | + | 0.185622i | ||||
\(232\) | 6.26092 | + | 23.3661i | 0.411050 | + | 1.53406i | ||||
\(233\) | − | 3.33766i | − | 0.218657i | −0.994006 | − | 0.109329i | \(-0.965130\pi\) | ||
0.994006 | − | 0.109329i | \(-0.0348701\pi\) | |||||||
\(234\) | −0.175672 | + | 1.05648i | −0.0114841 | + | 0.0690639i | ||||
\(235\) | −30.6799 | −2.00134 | ||||||||
\(236\) | −10.5958 | − | 39.5439i | −0.689725 | − | 2.57409i | ||||
\(237\) | −0.876282 | + | 1.51777i | −0.0569207 | + | 0.0985895i | ||||
\(238\) | −1.71634 | − | 2.97278i | −0.111254 | − | 0.192697i | ||||
\(239\) | 20.8345 | + | 20.8345i | 1.34767 | + | 1.34767i | 0.888186 | + | 0.459484i | \(0.151966\pi\) |
0.459484 | + | 0.888186i | \(0.348034\pi\) | |||||||
\(240\) | −5.14736 | + | 19.2102i | −0.332261 | + | 1.24001i | ||||
\(241\) | −6.66934 | − | 1.78704i | −0.429610 | − | 0.115114i | 0.0375332 | − | 0.999295i | \(-0.488050\pi\) |
−0.467143 | + | 0.884182i | \(0.654717\pi\) | |||||||
\(242\) | 20.7146 | + | 20.7146i | 1.33158 | + | 1.33158i | ||||
\(243\) | −1.10901 | + | 0.640289i | −0.0711433 | + | 0.0410746i | ||||
\(244\) | −7.64033 | + | 13.2334i | −0.489122 | + | 0.847184i | ||||
\(245\) | 24.9363 | − | 6.68167i | 1.59312 | − | 0.426876i | ||||
\(246\) | −13.7956 | −0.879575 | ||||||||
\(247\) | −6.47792 | + | 2.42962i | −0.412180 | + | 0.154593i | ||||
\(248\) | −21.3679 | + | 11.3387i | −1.35687 | + | 0.720010i | ||||
\(249\) | 3.96405 | + | 14.7940i | 0.251212 | + | 0.937535i | ||||
\(250\) | −26.0133 | + | 45.0564i | −1.64523 | + | 2.84961i | ||||
\(251\) | 11.8697 | + | 20.5590i | 0.749210 | + | 1.29767i | 0.948202 | + | 0.317669i | \(0.102900\pi\) |
−0.198991 | + | 0.980001i | \(0.563767\pi\) | |||||||
\(252\) | −0.219997 | + | 0.219997i | −0.0138585 | + | 0.0138585i | ||||
\(253\) | −31.8359 | − | 8.53039i | −2.00150 | − | 0.536301i | ||||
\(254\) | −13.1523 | − | 3.52415i | −0.825250 | − | 0.221125i | ||||
\(255\) | −10.5630 | − | 10.5630i | −0.661481 | − | 0.661481i | ||||
\(256\) | 14.7877 | + | 25.6130i | 0.924229 | + | 1.60081i | ||||
\(257\) | −0.641188 | − | 0.370190i | −0.0399962 | − | 0.0230918i | 0.479869 | − | 0.877340i | \(-0.340684\pi\) |
−0.519865 | + | 0.854249i | \(0.674018\pi\) | |||||||
\(258\) | 39.7554 | − | 10.6524i | 2.47506 | − | 0.663192i | ||||
\(259\) | 3.70297 | 0.230091 | ||||||||
\(260\) | −18.9526 | − | 50.5319i | −1.17539 | − | 3.13385i | ||||
\(261\) | 0.686520i | 0.0424945i | ||||||||
\(262\) | −2.78019 | − | 10.3758i | −0.171761 | − | 0.641020i | ||||
\(263\) | 16.9373 | + | 9.77877i | 1.04440 | + | 0.602985i | 0.921076 | − | 0.389382i | \(-0.127311\pi\) |
0.123323 | + | 0.992367i | \(0.460645\pi\) | |||||||
\(264\) | −32.0011 | + | 18.4759i | −1.96953 | + | 1.13711i | ||||
\(265\) | −16.4854 | − | 16.4854i | −1.01269 | − | 1.01269i | ||||
\(266\) | −2.96222 | − | 0.793725i | −0.181626 | − | 0.0486664i | ||||
\(267\) | −5.56914 | + | 20.7843i | −0.340826 | + | 1.27198i | ||||
\(268\) | 3.83865 | + | 3.83865i | 0.234483 | + | 0.234483i | ||||
\(269\) | 24.6986 | − | 14.2597i | 1.50590 | − | 0.869431i | 0.505922 | − | 0.862579i | \(-0.331152\pi\) |
0.999977 | − | 0.00685137i | \(-0.00218088\pi\) | |||||||
\(270\) | 24.0995 | − | 41.7416i | 1.46665 | − | 2.54031i | ||||
\(271\) | 3.14501 | + | 11.7374i | 0.191046 | + | 0.712994i | 0.993255 | + | 0.115950i | \(0.0369913\pi\) |
−0.802209 | + | 0.597043i | \(0.796342\pi\) | |||||||
\(272\) | 6.14173 | 0.372397 | ||||||||
\(273\) | 0.693403 | − | 4.17005i | 0.0419667 | − | 0.252383i | ||||
\(274\) | 20.4372i | 1.23465i | ||||||||
\(275\) | −48.7524 | + | 13.0632i | −2.93988 | + | 0.787738i | ||||
\(276\) | 23.0175 | − | 39.8674i | 1.38549 | − | 2.39974i | ||||
\(277\) | 6.90413 | + | 11.9583i | 0.414829 | + | 0.718505i | 0.995410 | − | 0.0956974i | \(-0.0305081\pi\) |
−0.580582 | + | 0.814202i | \(0.697175\pi\) | |||||||
\(278\) | −3.58595 | − | 3.58595i | −0.215071 | − | 0.215071i | ||||
\(279\) | −0.669043 | + | 0.153874i | −0.0400546 | + | 0.00921222i | ||||
\(280\) | 2.93582 | − | 10.9566i | 0.175449 | − | 0.654785i | ||||
\(281\) | −5.66749 | − | 5.66749i | −0.338094 | − | 0.338094i | 0.517555 | − | 0.855650i | \(-0.326842\pi\) |
−0.855650 | + | 0.517555i | \(0.826842\pi\) | |||||||
\(282\) | 28.7437 | − | 16.5952i | 1.71166 | − | 0.988230i | ||||
\(283\) | −7.45452 | − | 4.30387i | −0.443125 | − | 0.255838i | 0.261797 | − | 0.965123i | \(-0.415685\pi\) |
−0.704922 | + | 0.709285i | \(0.749018\pi\) | |||||||
\(284\) | 3.50721 | − | 0.939755i | 0.208115 | − | 0.0557642i | ||||
\(285\) | −13.3458 | −0.790536 | ||||||||
\(286\) | 17.2954 | − | 38.0553i | 1.02270 | − | 2.25026i | ||||
\(287\) | 2.14969 | 0.126892 | ||||||||
\(288\) | 0.0574643 | + | 0.214460i | 0.00338612 | + | 0.0126372i | ||||
\(289\) | 6.19339 | − | 10.7273i | 0.364317 | − | 0.631015i | ||||
\(290\) | −26.3933 | − | 45.7146i | −1.54987 | − | 2.68445i | ||||
\(291\) | −19.1395 | − | 19.1395i | −1.12198 | − | 1.12198i | ||||
\(292\) | 5.85040 | − | 21.8340i | 0.342369 | − | 1.27774i | ||||
\(293\) | −6.76175 | + | 25.2352i | −0.395026 | + | 1.47426i | 0.426710 | + | 0.904388i | \(0.359672\pi\) |
−0.821736 | + | 0.569868i | \(0.806994\pi\) | |||||||
\(294\) | −19.7484 | + | 19.7484i | −1.15175 | + | 1.15175i | ||||
\(295\) | 21.1796 | + | 36.6841i | 1.23312 | + | 2.13583i | ||||
\(296\) | −12.1252 | + | 21.0015i | −0.704764 | + | 1.22069i | ||||
\(297\) | 23.6330 | − | 6.33243i | 1.37132 | − | 0.367445i | ||||
\(298\) | − | 15.4338i | − | 0.894056i | ||||||
\(299\) | 2.39208 | + | 24.5767i | 0.138338 | + | 1.42131i | ||||
\(300\) | − | 70.4964i | − | 4.07011i | ||||||
\(301\) | −6.19485 | + | 1.65991i | −0.357065 | + | 0.0956754i | ||||
\(302\) | −38.0694 | − | 21.9794i | −2.19065 | − | 1.26477i | ||||
\(303\) | −3.99051 | − | 6.91177i | −0.229249 | − | 0.397071i | ||||
\(304\) | 3.87987 | − | 3.87987i | 0.222526 | − | 0.222526i | ||||
\(305\) | 4.09214 | − | 15.2721i | 0.234315 | − | 0.874476i | ||||
\(306\) | 0.616249 | + | 0.165124i | 0.0352286 | + | 0.00943948i | ||||
\(307\) | 3.58298 | + | 3.58298i | 0.204491 | + | 0.204491i | 0.801921 | − | 0.597430i | \(-0.203811\pi\) |
−0.597430 | + | 0.801921i | \(0.703811\pi\) | |||||||
\(308\) | 10.5165 | − | 6.07169i | 0.599232 | − | 0.345967i | ||||
\(309\) | −15.0209 | + | 26.0170i | −0.854511 | + | 1.48006i | ||||
\(310\) | 38.6351 | − | 35.9678i | 2.19433 | − | 2.04283i | ||||
\(311\) | − | 25.8674i | − | 1.46680i | −0.679795 | − | 0.733402i | \(-0.737931\pi\) | ||
0.679795 | − | 0.733402i | \(-0.262069\pi\) | |||||||
\(312\) | 21.3801 | + | 17.5873i | 1.21041 | + | 0.995686i | ||||
\(313\) | − | 32.0974i | − | 1.81425i | −0.420857 | − | 0.907127i | \(-0.638271\pi\) | ||
0.420857 | − | 0.907127i | \(-0.361729\pi\) | |||||||
\(314\) | −3.06501 | − | 11.4388i | −0.172968 | − | 0.645527i | ||||
\(315\) | 0.160959 | − | 0.278789i | 0.00906900 | − | 0.0157080i | ||||
\(316\) | 1.88590 | + | 3.26647i | 0.106090 | + | 0.183753i | ||||
\(317\) | −3.32008 | + | 3.32008i | −0.186474 | + | 0.186474i | −0.794170 | − | 0.607696i | \(-0.792094\pi\) |
0.607696 | + | 0.794170i | \(0.292094\pi\) | |||||||
\(318\) | 24.3621 | + | 6.52782i | 1.36616 | + | 0.366062i | ||||
\(319\) | 6.93516 | − | 25.8824i | 0.388294 | − | 1.44913i | ||||
\(320\) | −27.9861 | − | 27.9861i | −1.56447 | − | 1.56447i | ||||
\(321\) | −2.07955 | + | 1.20063i | −0.116069 | + | 0.0670125i | ||||
\(322\) | −5.47268 | + | 9.47895i | −0.304980 | + | 0.528241i | ||||
\(323\) | 1.06670 | + | 3.98098i | 0.0593529 | + | 0.221508i | ||||
\(324\) | 35.5804i | 1.97669i | ||||||||
\(325\) | 21.9904 | + | 30.7622i | 1.21981 | + | 1.70638i | ||||
\(326\) | 13.8522 | 0.767202 | ||||||||
\(327\) | 16.4020 | − | 4.39491i | 0.907033 | − | 0.243039i | ||||
\(328\) | −7.03906 | + | 12.1920i | −0.388667 | + | 0.673191i | ||||
\(329\) | −4.47897 | + | 2.58593i | −0.246933 | + | 0.142567i | ||||
\(330\) | 57.0167 | − | 57.0167i | 3.13867 | − | 3.13867i | ||||
\(331\) | 1.68584 | − | 6.29165i | 0.0926623 | − | 0.345821i | −0.903992 | − | 0.427549i | \(-0.859377\pi\) |
0.996655 | + | 0.0817281i | \(0.0260439\pi\) | |||||||
\(332\) | 31.8391 | + | 8.53126i | 1.74740 | + | 0.468214i | ||||
\(333\) | −0.486648 | + | 0.486648i | −0.0266682 | + | 0.0266682i | ||||
\(334\) | −21.6001 | + | 12.4708i | −1.18191 | + | 0.682374i | ||||
\(335\) | −4.86448 | − | 2.80851i | −0.265775 | − | 0.153445i | ||||
\(336\) | 0.867715 | + | 3.23836i | 0.0473378 | + | 0.176667i | ||||
\(337\) | −5.53911 | −0.301735 | −0.150867 | − | 0.988554i | \(-0.548207\pi\) | ||||
−0.150867 | + | 0.988554i | \(0.548207\pi\) | |||||||
\(338\) | −31.2457 | − | 2.12009i | −1.69954 | − | 0.115318i | ||||
\(339\) | 22.7882i | 1.23769i | ||||||||
\(340\) | −31.0542 | + | 8.32095i | −1.68415 | + | 0.451267i | ||||
\(341\) | 26.7779 | + | 0.957420i | 1.45010 | + | 0.0518472i | ||||
\(342\) | 0.493611 | − | 0.284987i | 0.0266914 | − | 0.0154103i | ||||
\(343\) | 6.36102 | − | 6.36102i | 0.343463 | − | 0.343463i | ||||
\(344\) | 10.8706 | − | 40.5696i | 0.586103 | − | 2.18736i | ||||
\(345\) | −12.3281 | + | 46.0091i | −0.663723 | + | 2.47705i | ||||
\(346\) | 19.6017 | + | 19.6017i | 1.05379 | + | 1.05379i | ||||
\(347\) | −14.5258 | + | 8.38646i | −0.779784 | + | 0.450209i | −0.836354 | − | 0.548190i | \(-0.815317\pi\) |
0.0565697 | + | 0.998399i | \(0.481984\pi\) | |||||||
\(348\) | 32.4120 | + | 18.7131i | 1.73746 | + | 1.00313i | ||||
\(349\) | −16.1574 | + | 4.32937i | −0.864887 | + | 0.231746i | −0.663875 | − | 0.747843i | \(-0.731089\pi\) |
−0.201011 | + | 0.979589i | \(0.564423\pi\) | |||||||
\(350\) | 16.7613i | 0.895932i | ||||||||
\(351\) | −10.6599 | − | 14.9121i | −0.568986 | − | 0.795949i | ||||
\(352\) | − | 8.66581i | − | 0.461889i | ||||||
\(353\) | 17.0623 | − | 4.57183i | 0.908134 | − | 0.243334i | 0.225628 | − | 0.974214i | \(-0.427557\pi\) |
0.682506 | + | 0.730880i | \(0.260890\pi\) | |||||||
\(354\) | −39.6859 | − | 22.9127i | −2.10928 | − | 1.21779i | ||||
\(355\) | −3.25358 | + | 1.87845i | −0.172682 | + | 0.0996980i | ||||
\(356\) | 32.7454 | + | 32.7454i | 1.73550 | + | 1.73550i | ||||
\(357\) | −2.43242 | − | 0.651765i | −0.128737 | − | 0.0344951i | ||||
\(358\) | 19.0912 | + | 5.11546i | 1.00900 | + | 0.270361i | ||||
\(359\) | 11.1391 | + | 11.1391i | 0.587898 | + | 0.587898i | 0.937062 | − | 0.349164i | \(-0.113534\pi\) |
−0.349164 | + | 0.937062i | \(0.613534\pi\) | |||||||
\(360\) | 1.05411 | + | 1.82576i | 0.0555562 | + | 0.0962262i | ||||
\(361\) | −13.2657 | − | 7.65898i | −0.698197 | − | 0.403104i | ||||
\(362\) | 5.50951 | + | 20.5618i | 0.289573 | + | 1.08070i | ||||
\(363\) | 21.4909 | 1.12798 | ||||||||
\(364\) | −7.02609 | − | 5.77969i | −0.368267 | − | 0.302938i | ||||
\(365\) | 23.3884i | 1.22421i | ||||||||
\(366\) | 4.42699 | + | 16.5217i | 0.231402 | + | 0.863605i | ||||
\(367\) | −1.82325 | − | 1.05265i | −0.0951728 | − | 0.0549481i | 0.451658 | − | 0.892191i | \(-0.350833\pi\) |
−0.546831 | + | 0.837243i | \(0.684166\pi\) | |||||||
\(368\) | −9.79171 | − | 16.9597i | −0.510428 | − | 0.884087i | ||||
\(369\) | −0.282514 | + | 0.282514i | −0.0147071 | + | 0.0147071i | ||||
\(370\) | 13.6961 | − | 51.1146i | 0.712028 | − | 2.65732i | ||||
\(371\) | −3.79621 | − | 1.01719i | −0.197089 | − | 0.0528099i | ||||
\(372\) | −10.9720 | + | 35.7812i | −0.568870 | + | 1.85517i | ||||
\(373\) | −8.16906 | − | 14.1492i | −0.422978 | − | 0.732619i | 0.573251 | − | 0.819380i | \(-0.305682\pi\) |
−0.996229 | + | 0.0867605i | \(0.972349\pi\) | |||||||
\(374\) | −21.5650 | − | 12.4506i | −1.11510 | − | 0.643804i | ||||
\(375\) | 9.87835 | + | 36.8665i | 0.510116 | + | 1.90378i | ||||
\(376\) | − | 33.8701i | − | 1.74672i | ||||||
\(377\) | −19.9807 | + | 1.94475i | −1.02906 | + | 0.100160i | ||||
\(378\) | − | 8.12515i | − | 0.417912i | ||||||
\(379\) | −5.72749 | − | 21.3753i | −0.294201 | − | 1.09797i | −0.941850 | − | 0.336035i | \(-0.890914\pi\) |
0.647648 | − | 0.761940i | \(-0.275753\pi\) | |||||||
\(380\) | −14.3611 | + | 24.8742i | −0.736710 | + | 1.27602i | ||||
\(381\) | −8.65071 | + | 4.99449i | −0.443189 | + | 0.255875i | ||||
\(382\) | −19.0163 | + | 19.0163i | −0.972958 | + | 0.972958i | ||||
\(383\) | −3.32481 | + | 12.4083i | −0.169890 | + | 0.634037i | 0.827476 | + | 0.561501i | \(0.189776\pi\) |
−0.997366 | + | 0.0725361i | \(0.976891\pi\) | |||||||
\(384\) | 35.2101 | + | 9.43453i | 1.79681 | + | 0.481454i | ||||
\(385\) | −8.88457 | + | 8.88457i | −0.452800 | + | 0.452800i | ||||
\(386\) | −23.0612 | − | 39.9431i | −1.17378 | − | 2.03305i | ||||
\(387\) | 0.595988 | − | 1.03228i | 0.0302958 | − | 0.0524738i | ||||
\(388\) | −56.2683 | + | 15.0771i | −2.85659 | + | 0.765422i | ||||
\(389\) | 16.4900 | 0.836076 | 0.418038 | − | 0.908429i | \(-0.362718\pi\) | ||||
0.418038 | + | 0.908429i | \(0.362718\pi\) | |||||||
\(390\) | −54.9975 | − | 24.9953i | −2.78491 | − | 1.26568i | ||||
\(391\) | 14.7097 | 0.743899 | ||||||||
\(392\) | 7.37645 | + | 27.5293i | 0.372567 | + | 1.39044i | ||||
\(393\) | −6.82452 | − | 3.94014i | −0.344251 | − | 0.198754i | ||||
\(394\) | −24.1537 | − | 41.8354i | −1.21684 | − | 2.10764i | ||||
\(395\) | −2.75959 | − | 2.75959i | −0.138850 | − | 0.138850i | ||||
\(396\) | −0.584139 | + | 2.18004i | −0.0293541 | + | 0.109551i | ||||
\(397\) | −2.09462 | + | 7.81724i | −0.105126 | + | 0.392336i | −0.998359 | − | 0.0572575i | \(-0.981764\pi\) |
0.893233 | + | 0.449593i | \(0.148431\pi\) | |||||||
\(398\) | 27.2674 | − | 27.2674i | 1.36679 | − | 1.36679i | ||||
\(399\) | −1.94835 | + | 1.12488i | −0.0975396 | + | 0.0563145i | ||||
\(400\) | −25.9716 | − | 14.9947i | −1.29858 | − | 0.749735i | ||||
\(401\) | 8.51784 | + | 31.7890i | 0.425361 | + | 1.58747i | 0.763134 | + | 0.646241i | \(0.223660\pi\) |
−0.337773 | + | 0.941228i | \(0.609674\pi\) | |||||||
\(402\) | 6.07664 | 0.303075 | ||||||||
\(403\) | −6.37365 | − | 19.0362i | −0.317494 | − | 0.948260i | ||||
\(404\) | −17.1764 | −0.854558 | ||||||||
\(405\) | −9.52838 | − | 35.5604i | −0.473469 | − | 1.76701i | ||||
\(406\) | −7.70633 | − | 4.44925i | −0.382459 | − | 0.220813i | ||||
\(407\) | 23.2631 | − | 13.4310i | 1.15311 | − | 0.665748i | ||||
\(408\) | 11.6614 | − | 11.6614i | 0.577324 | − | 0.577324i | ||||
\(409\) | −5.73566 | + | 21.4058i | −0.283610 | + | 1.05845i | 0.666239 | + | 0.745738i | \(0.267903\pi\) |
−0.949849 | + | 0.312709i | \(0.898764\pi\) | |||||||
\(410\) | 7.95102 | − | 29.6736i | 0.392673 | − | 1.46548i | ||||
\(411\) | 10.6015 | + | 10.6015i | 0.522935 | + | 0.522935i | ||||
\(412\) | 32.3274 | + | 55.9927i | 1.59266 | + | 2.75856i | ||||
\(413\) | 6.18402 | + | 3.57035i | 0.304296 | + | 0.175685i | ||||
\(414\) | −0.526510 | − | 1.96496i | −0.0258765 | − | 0.0965726i | ||||
\(415\) | −34.1059 | −1.67419 | ||||||||
\(416\) | −6.07894 | + | 2.27998i | −0.298044 | + | 0.111785i | ||||
\(417\) | −3.72034 | −0.182186 | ||||||||
\(418\) | −21.4884 | + | 5.75781i | −1.05103 | + | 0.281624i | ||||
\(419\) | 12.3864 | − | 21.4538i | 0.605113 | − | 1.04809i | −0.386920 | − | 0.922113i | \(-0.626461\pi\) |
0.992034 | − | 0.125974i | \(-0.0402055\pi\) | |||||||
\(420\) | −8.77479 | − | 15.1984i | −0.428166 | − | 0.741605i | ||||
\(421\) | 28.4541 | − | 28.4541i | 1.38677 | − | 1.38677i | 0.554752 | − | 0.832016i | \(-0.312813\pi\) |
0.832016 | − | 0.554752i | \(-0.187187\pi\) | |||||||
\(422\) | 46.6605 | + | 12.5026i | 2.27140 | + | 0.608619i | ||||
\(423\) | 0.248785 | − | 0.928477i | 0.0120963 | − | 0.0451441i | ||||
\(424\) | 18.1996 | − | 18.1996i | 0.883848 | − | 0.883848i | ||||
\(425\) | 19.5080 | − | 11.2629i | 0.946276 | − | 0.546333i | ||||
\(426\) | 2.03216 | − | 3.51981i | 0.0984586 | − | 0.170535i | ||||
\(427\) | −0.689831 | − | 2.57449i | −0.0333833 | − | 0.124588i | ||||
\(428\) | 5.16788i | 0.249799i | ||||||||
\(429\) | −10.7690 | − | 28.7125i | −0.519931 | − | 1.38625i | ||||
\(430\) | 91.6513i | 4.41982i | ||||||||
\(431\) | 6.06483 | + | 22.6343i | 0.292133 | + | 1.09025i | 0.943468 | + | 0.331464i | \(0.107542\pi\) |
−0.651335 | + | 0.758790i | \(0.725791\pi\) | |||||||
\(432\) | 12.5898 | + | 7.26875i | 0.605729 | + | 0.349718i | ||||
\(433\) | 4.51552 | + | 7.82110i | 0.217002 | + | 0.375858i | 0.953890 | − | 0.300157i | \(-0.0970389\pi\) |
−0.736888 | + | 0.676015i | \(0.763706\pi\) | |||||||
\(434\) | 2.60871 | − | 8.50739i | 0.125222 | − | 0.408368i | ||||
\(435\) | −37.4051 | − | 10.0227i | −1.79344 | − | 0.480550i | ||||
\(436\) | 9.45853 | − | 35.2997i | 0.452981 | − | 1.69055i | ||||
\(437\) | 9.29243 | − | 9.29243i | 0.444517 | − | 0.444517i | ||||
\(438\) | −12.6511 | − | 21.9124i | −0.604495 | − | 1.04702i | ||||
\(439\) | 31.7039 | + | 18.3042i | 1.51314 | + | 0.873614i | 0.999882 | + | 0.0153818i | \(0.00489637\pi\) |
0.513262 | + | 0.858232i | \(0.328437\pi\) | |||||||
\(440\) | −21.2969 | − | 79.4813i | −1.01529 | − | 3.78912i | ||||
\(441\) | 0.808839i | 0.0385161i | ||||||||
\(442\) | −3.06013 | + | 18.4033i | −0.145556 | + | 0.875356i | ||||
\(443\) | −7.38702 | −0.350968 | −0.175484 | − | 0.984482i | \(-0.556149\pi\) | ||||
−0.175484 | + | 0.984482i | \(0.556149\pi\) | |||||||
\(444\) | 9.71065 | + | 36.2406i | 0.460847 | + | 1.71990i | ||||
\(445\) | −41.4962 | − | 23.9578i | −1.96711 | − | 1.13571i | ||||
\(446\) | 7.95159 | + | 13.7726i | 0.376519 | + | 0.652150i | ||||
\(447\) | −8.00609 | − | 8.00609i | −0.378675 | − | 0.378675i | ||||
\(448\) | −6.44456 | − | 1.72681i | −0.304477 | − | 0.0815843i | ||||
\(449\) | −15.3553 | − | 4.11445i | −0.724663 | − | 0.194173i | −0.122412 | − | 0.992479i | \(-0.539063\pi\) |
−0.602251 | + | 0.798307i | \(0.705729\pi\) | |||||||
\(450\) | −2.20280 | − | 2.20280i | −0.103841 | − | 0.103841i | ||||
\(451\) | 13.5049 | − | 7.79708i | 0.635923 | − | 0.367150i | ||||
\(452\) | 42.4732 | + | 24.5219i | 1.99777 | + | 1.15342i | ||||
\(453\) | −31.1496 | + | 8.34650i | −1.46353 | + | 0.392153i | ||||
\(454\) | 32.0432i | 1.50386i | ||||||||
\(455\) | 8.56993 | + | 3.89486i | 0.401765 | + | 0.182594i | ||||
\(456\) | − | 14.7335i | − | 0.689960i | ||||||
\(457\) | 8.25491 | − | 2.21190i | 0.386149 | − | 0.103468i | −0.0605216 | − | 0.998167i | \(-0.519276\pi\) |
0.446670 | + | 0.894699i | \(0.352610\pi\) | |||||||
\(458\) | 35.9302 | + | 20.7443i | 1.67891 | + | 0.969317i | ||||
\(459\) | −9.45659 | + | 5.45976i | −0.441396 | + | 0.254840i | ||||
\(460\) | 72.4868 | + | 72.4868i | 3.37971 | + | 3.37971i | ||||
\(461\) | 4.56370 | − | 17.0320i | 0.212553 | − | 0.793257i | −0.774461 | − | 0.632622i | \(-0.781979\pi\) |
0.987014 | − | 0.160636i | \(-0.0513545\pi\) | |||||||
\(462\) | 3.51808 | − | 13.1297i | 0.163676 | − | 0.610847i | ||||
\(463\) | −25.8553 | + | 25.8553i | −1.20160 | + | 1.20160i | −0.227917 | + | 0.973681i | \(0.573192\pi\) |
−0.973681 | + | 0.227917i | \(0.926808\pi\) | |||||||
\(464\) | 13.7882 | − | 7.96060i | 0.640099 | − | 0.369561i | ||||
\(465\) | 1.38366 | − | 38.6993i | 0.0641657 | − | 1.79464i | ||||
\(466\) | −7.76659 | + | 2.08105i | −0.359780 | + | 0.0964028i | ||||
\(467\) | 14.6572i | 0.678253i | 0.940741 | + | 0.339127i | \(0.110131\pi\) | ||||
−0.940741 | + | 0.339127i | \(0.889869\pi\) | |||||||
\(468\) | 1.68295 | − | 0.163803i | 0.0777944 | − | 0.00757181i | ||||
\(469\) | −0.946887 | −0.0437232 | ||||||||
\(470\) | 19.1291 | + | 71.3909i | 0.882361 | + | 3.29301i | ||||
\(471\) | −7.52365 | − | 4.34378i | −0.346672 | − | 0.200151i | ||||
\(472\) | −40.4986 | + | 23.3819i | −1.86410 | + | 1.07624i | ||||
\(473\) | −32.8972 | + | 32.8972i | −1.51262 | + | 1.51262i | ||||
\(474\) | 4.07814 | + | 1.09273i | 0.187315 | + | 0.0501909i | ||||
\(475\) | 5.20858 | − | 19.4387i | 0.238986 | − | 0.891909i | ||||
\(476\) | −3.83225 | + | 3.83225i | −0.175651 | + | 0.175651i | ||||
\(477\) | 0.632583 | − | 0.365222i | 0.0289640 | − | 0.0167224i | ||||
\(478\) | 35.4905 | − | 61.4713i | 1.62330 | − | 2.81163i | ||||
\(479\) | 40.1046 | − | 10.7460i | 1.83242 | − | 0.490997i | 0.834249 | − | 0.551387i | \(-0.185901\pi\) |
0.998175 | + | 0.0603905i | \(0.0192346\pi\) | |||||||
\(480\) | −12.5238 | −0.571631 | ||||||||
\(481\) | −15.5422 | − | 12.7850i | −0.708661 | − | 0.582948i | ||||
\(482\) | 16.6335i | 0.757634i | ||||||||
\(483\) | 2.07821 | + | 7.75597i | 0.0945617 | + | 0.352909i | ||||
\(484\) | 23.1259 | − | 40.0552i | 1.05118 | − | 1.82069i | ||||
\(485\) | 52.1991 | − | 30.1372i | 2.37024 | − | 1.36846i | ||||
\(486\) | 2.18140 | + | 2.18140i | 0.0989504 | + | 0.0989504i | ||||
\(487\) | 4.22814 | − | 15.7796i | 0.191595 | − | 0.715043i | −0.801527 | − | 0.597959i | \(-0.795979\pi\) |
0.993122 | − | 0.117084i | \(-0.0373548\pi\) | |||||||
\(488\) | 16.8601 | + | 4.51765i | 0.763220 | + | 0.204504i | ||||
\(489\) | 7.18566 | − | 7.18566i | 0.324947 | − | 0.324947i | ||||
\(490\) | −31.0959 | − | 53.8597i | −1.40477 | − | 2.43313i | ||||
\(491\) | 6.96913 | − | 12.0709i | 0.314512 | − | 0.544751i | −0.664821 | − | 0.747002i | \(-0.731492\pi\) |
0.979334 | + | 0.202251i | \(0.0648257\pi\) | |||||||
\(492\) | 5.63733 | + | 21.0388i | 0.254150 | + | 0.948502i | ||||
\(493\) | 11.9589i | 0.538600i | ||||||||
\(494\) | 9.69264 | + | 13.5589i | 0.436092 | + | 0.610046i | ||||
\(495\) | − | 2.33524i | − | 0.104961i | ||||||
\(496\) | 10.8484 | + | 11.6529i | 0.487106 | + | 0.523230i | ||||
\(497\) | −0.316660 | + | 0.548471i | −0.0142041 | + | 0.0246023i | ||||
\(498\) | 31.9535 | − | 18.4483i | 1.43187 | − | 0.826690i | ||||
\(499\) | 10.1813 | + | 10.1813i | 0.455780 | + | 0.455780i | 0.897267 | − | 0.441488i | \(-0.145549\pi\) |
−0.441488 | + | 0.897267i | \(0.645549\pi\) | |||||||
\(500\) | 79.3425 | + | 21.2598i | 3.54831 | + | 0.950766i | ||||
\(501\) | −4.73570 | + | 17.6739i | −0.211576 | + | 0.789611i | ||||
\(502\) | 40.4389 | − | 40.4389i | 1.80488 | − | 1.80488i | ||||
\(503\) | 10.6425 | + | 18.4333i | 0.474524 | + | 0.821900i | 0.999574 | − | 0.0291715i | \(-0.00928688\pi\) |
−0.525050 | + | 0.851071i | \(0.675954\pi\) | |||||||
\(504\) | 0.307778 | + | 0.177696i | 0.0137095 | + | 0.00791519i | ||||
\(505\) | 17.1668 | − | 4.59982i | 0.763911 | − | 0.204689i | ||||
\(506\) | 79.3994i | 3.52973i | ||||||||
\(507\) | −17.3081 | + | 15.1085i | −0.768679 | + | 0.670994i | ||||
\(508\) | 21.4979i | 0.953813i | ||||||||
\(509\) | 14.0375 | − | 3.76135i | 0.622203 | − | 0.166719i | 0.0660741 | − | 0.997815i | \(-0.478953\pi\) |
0.556129 | + | 0.831096i | \(0.312286\pi\) | |||||||
\(510\) | −17.9935 | + | 31.1657i | −0.796767 | + | 1.38004i | ||||
\(511\) | 1.97135 | + | 3.41448i | 0.0872074 | + | 0.151048i | ||||
\(512\) | 21.2104 | − | 21.2104i | 0.937375 | − | 0.937375i | ||||
\(513\) | −2.52489 | + | 9.42300i | −0.111476 | + | 0.416036i | ||||
\(514\) | −0.461631 | + | 1.72283i | −0.0203617 | + | 0.0759908i | ||||
\(515\) | −47.3040 | − | 47.3040i | −2.08446 | − | 2.08446i | ||||
\(516\) | −32.4907 | − | 56.2756i | −1.43032 | − | 2.47739i | ||||
\(517\) | −18.7588 | + | 32.4911i | −0.825010 | + | 1.42896i | ||||
\(518\) | −2.30882 | − | 8.61664i | −0.101444 | − | 0.378593i | ||||
\(519\) | 20.3363 | 0.892664 | ||||||||
\(520\) | −50.1517 | + | 35.8510i | −2.19930 | + | 1.57217i | ||||
\(521\) | −6.48740 | −0.284218 | −0.142109 | − | 0.989851i | \(-0.545388\pi\) | ||||
−0.142109 | + | 0.989851i | \(0.545388\pi\) | |||||||
\(522\) | 1.59750 | − | 0.428049i | 0.0699207 | − | 0.0187352i | ||||
\(523\) | 11.8386 | + | 6.83501i | 0.517665 | + | 0.298874i | 0.735979 | − | 0.677004i | \(-0.236722\pi\) |
−0.218314 | + | 0.975879i | \(0.570056\pi\) | |||||||
\(524\) | −14.6874 | + | 8.47980i | −0.641624 | + | 0.370442i | ||||
\(525\) | 8.69474 | + | 8.69474i | 0.379470 | + | 0.379470i | ||||
\(526\) | 12.1942 | − | 45.5095i | 0.531694 | − | 1.98431i | ||||
\(527\) | −11.6544 | + | 2.68042i | −0.507674 | + | 0.116761i | ||||
\(528\) | 17.1970 | + | 17.1970i | 0.748404 | + | 0.748404i | ||||
\(529\) | −11.9515 | − | 20.7005i | −0.519629 | − | 0.900024i | ||||
\(530\) | −28.0820 | + | 48.6394i | −1.21980 | + | 2.11276i | ||||
\(531\) | −1.28193 | + | 0.343492i | −0.0556310 | + | 0.0149063i | ||||
\(532\) | 4.84184i | 0.209921i | ||||||||
\(533\) | −9.02269 | − | 7.42210i | −0.390816 | − | 0.321487i | ||||
\(534\) | 51.8365 | 2.24318 | ||||||||
\(535\) | −1.38395 | − | 5.16498i | −0.0598335 | − | 0.223302i | ||||
\(536\) | 3.10054 | − | 5.37030i | 0.133923 | − | 0.231961i | ||||
\(537\) | 12.5569 | − | 7.24972i | 0.541870 | − | 0.312849i | ||||
\(538\) | −48.5814 | − | 48.5814i | −2.09449 | − | 2.09449i | ||||
\(539\) | 8.17081 | − | 30.4939i | 0.351942 | − | 1.31346i | ||||
\(540\) | −73.5054 | − | 19.6957i | −3.16317 | − | 0.847568i | ||||
\(541\) | 17.0525 | + | 17.0525i | 0.733142 | + | 0.733142i | 0.971241 | − | 0.238099i | \(-0.0765242\pi\) |
−0.238099 | + | 0.971241i | \(0.576524\pi\) | |||||||
\(542\) | 25.3514 | − | 14.6366i | 1.08893 | − | 0.628696i | ||||
\(543\) | 13.5241 | + | 7.80817i | 0.580377 | + | 0.335081i | ||||
\(544\) | 1.00100 | + | 3.73579i | 0.0429176 | + | 0.160171i | ||||
\(545\) | 37.8129i | 1.61973i | ||||||||
\(546\) | −10.1359 | + | 0.986535i | −0.433775 | + | 0.0422198i | ||||
\(547\) | 7.13230 | 0.304955 | 0.152477 | − | 0.988307i | \(-0.451275\pi\) | ||||
0.152477 | + | 0.988307i | \(0.451275\pi\) | |||||||
\(548\) | 31.1675 | − | 8.35129i | 1.33141 | − | 0.356750i | ||||
\(549\) | 0.429000 | + | 0.247683i | 0.0183093 | + | 0.0105709i | ||||
\(550\) | 60.7948 | + | 105.300i | 2.59230 | + | 4.48999i | ||||
\(551\) | 7.55469 | + | 7.55469i | 0.321840 | + | 0.321840i | ||||
\(552\) | −50.7932 | − | 13.6100i | −2.16190 | − | 0.579280i | ||||
\(553\) | −0.635472 | − | 0.170274i | −0.0270230 | − | 0.00724080i | ||||
\(554\) | 23.5217 | − | 23.5217i | 0.999340 | − | 0.999340i | ||||
\(555\) | −19.4104 | − | 33.6198i | −0.823925 | − | 1.42708i | ||||
\(556\) | −4.00338 | + | 6.93405i | −0.169781 | + | 0.294069i | ||||
\(557\) | −12.1961 | − | 45.5165i | −0.516766 | − | 1.92860i | −0.314438 | − | 0.949278i | \(-0.601816\pi\) |
−0.202327 | − | 0.979318i | \(-0.564851\pi\) | |||||||
\(558\) | 0.775211 | + | 1.46089i | 0.0328173 | + | 0.0618445i | ||||
\(559\) | 31.7322 | + | 14.4217i | 1.34213 | + | 0.609971i | ||||
\(560\) | −7.46564 | −0.315481 | ||||||||
\(561\) | −17.6452 | + | 4.72801i | −0.744980 | + | 0.199617i | ||||
\(562\) | −9.65428 | + | 16.7217i | −0.407241 | + | 0.705363i | ||||
\(563\) | 27.3024 | − | 15.7631i | 1.15066 | − | 0.664334i | 0.201612 | − | 0.979466i | \(-0.435382\pi\) |
0.949048 | + | 0.315132i | \(0.102049\pi\) | |||||||
\(564\) | −37.0539 | − | 37.0539i | −1.56025 | − | 1.56025i | ||||
\(565\) | −49.0163 | − | 13.1339i | −2.06213 | − | 0.552547i | ||||
\(566\) | −5.36697 | + | 20.0298i | −0.225591 | + | 0.841916i | ||||
\(567\) | −4.38834 | − | 4.38834i | −0.184293 | − | 0.184293i | ||||
\(568\) | −2.07378 | − | 3.59189i | −0.0870138 | − | 0.150712i | ||||
\(569\) | −2.97742 | + | 5.15705i | −0.124820 | + | 0.216195i | −0.921663 | − | 0.387992i | \(-0.873169\pi\) |
0.796843 | + | 0.604187i | \(0.206502\pi\) | |||||||
\(570\) | 8.32117 | + | 31.0550i | 0.348536 | + | 1.30075i | ||||
\(571\) | −13.2562 | −0.554753 | −0.277376 | − | 0.960761i | \(-0.589465\pi\) | ||||
−0.277376 | + | 0.960761i | \(0.589465\pi\) | |||||||
\(572\) | −65.1033 | − | 10.8255i | −2.72211 | − | 0.452636i | ||||
\(573\) | 19.7289i | 0.824188i | ||||||||
\(574\) | −1.34034 | − | 5.00222i | −0.0559448 | − | 0.208789i | ||||
\(575\) | −62.2028 | − | 35.9128i | −2.59404 | − | 1.49767i | ||||
\(576\) | 1.07389 | − | 0.620011i | 0.0447455 | − | 0.0258338i | ||||
\(577\) | −17.6610 | + | 17.6610i | −0.735237 | + | 0.735237i | −0.971652 | − | 0.236415i | \(-0.924027\pi\) |
0.236415 | + | 0.971652i | \(0.424027\pi\) | |||||||
\(578\) | −28.8235 | − | 7.72322i | −1.19890 | − | 0.321244i | ||||
\(579\) | −32.6827 | − | 8.75730i | −1.35825 | − | 0.363941i | ||||
\(580\) | −58.9313 | + | 58.9313i | −2.44699 | + | 2.44699i | ||||
\(581\) | −4.97912 | + | 2.87470i | −0.206569 | + | 0.119262i | ||||
\(582\) | −32.6032 | + | 56.4704i | −1.35145 | + | 2.34077i | ||||
\(583\) | −27.5383 | + | 7.37887i | −1.14052 | + | 0.305601i | ||||
\(584\) | −25.8204 | −1.06846 | ||||||||
\(585\) | −1.63814 | + | 0.614403i | −0.0677287 | + | 0.0254024i | ||||
\(586\) | 62.9372 | 2.59991 | ||||||||
\(587\) | 32.6330 | − | 8.74399i | 1.34691 | − | 0.360903i | 0.487915 | − | 0.872891i | \(-0.337757\pi\) |
0.858993 | + | 0.511988i | \(0.171091\pi\) | |||||||
\(588\) | 38.1869 | + | 22.0472i | 1.57480 | + | 0.909212i | ||||
\(589\) | −5.66908 | + | 9.05565i | −0.233590 | + | 0.373131i | ||||
\(590\) | 72.1568 | − | 72.1568i | 2.97065 | − | 2.97065i | ||||
\(591\) | −34.2310 | − | 9.17217i | −1.40808 | − | 0.377293i | ||||
\(592\) | 15.4169 | + | 4.13094i | 0.633630 | + | 0.169781i | ||||
\(593\) | 30.1769 | + | 30.1769i | 1.23922 | + | 1.23922i | 0.960321 | + | 0.278897i | \(0.0899687\pi\) |
0.278897 | + | 0.960321i | \(0.410031\pi\) | |||||||
\(594\) | −29.4706 | − | 51.0445i | −1.20919 | − | 2.09438i | ||||
\(595\) | 2.80383 | − | 4.85637i | 0.114946 | − | 0.199092i | ||||
\(596\) | −23.5371 | + | 6.30675i | −0.964118 | + | 0.258335i | ||||
\(597\) | − | 28.2893i | − | 1.15780i | ||||||
\(598\) | 55.6975 | − | 20.8900i | 2.27764 | − | 0.854255i | ||||
\(599\) | −26.6877 | −1.09043 | −0.545214 | − | 0.838297i | \(-0.683552\pi\) | ||||
−0.545214 | + | 0.838297i | \(0.683552\pi\) | |||||||
\(600\) | −77.7830 | + | 20.8419i | −3.17548 | + | 0.850867i | ||||
\(601\) | 16.7774 | + | 9.68643i | 0.684364 | + | 0.395118i | 0.801497 | − | 0.597998i | \(-0.204037\pi\) |
−0.117133 | + | 0.993116i | \(0.537370\pi\) | |||||||
\(602\) | 7.72505 | + | 13.3802i | 0.314850 | + | 0.545335i | ||||
\(603\) | 0.124441 | − | 0.124441i | 0.00506763 | − | 0.00506763i | ||||
\(604\) | −17.9630 | + | 67.0388i | −0.730904 | + | 2.72777i | ||||
\(605\) | −12.3862 | + | 46.2258i | −0.503569 | + | 1.87934i | ||||
\(606\) | −13.5953 | + | 13.5953i | −0.552270 | + | 0.552270i | ||||
\(607\) | −3.45354 | − | 5.98171i | −0.140175 | − | 0.242790i | 0.787387 | − | 0.616458i | \(-0.211433\pi\) |
−0.927562 | + | 0.373668i | \(0.878100\pi\) | |||||||
\(608\) | 2.99234 | + | 1.72763i | 0.121355 | + | 0.0700646i | ||||
\(609\) | −6.30556 | + | 1.68957i | −0.255514 | + | 0.0684648i | ||||
\(610\) | −38.0889 | −1.54217 | ||||||||
\(611\) | 27.7275 | + | 4.61057i | 1.12173 | + | 0.186524i | ||||
\(612\) | − | 1.00728i | − | 0.0407168i | ||||||
\(613\) | −40.6767 | + | 10.8993i | −1.64292 | + | 0.440219i | −0.957618 | − | 0.288042i | \(-0.906996\pi\) |
−0.685300 | + | 0.728261i | \(0.740329\pi\) | |||||||
\(614\) | 6.10342 | − | 10.5714i | 0.246314 | − | 0.426628i | ||||
\(615\) | −11.2683 | − | 19.5173i | −0.454383 | − | 0.787014i | ||||
\(616\) | −9.80841 | − | 9.80841i | −0.395192 | − | 0.395192i | ||||
\(617\) | −2.95771 | − | 0.792516i | −0.119073 | − | 0.0319055i | 0.198791 | − | 0.980042i | \(-0.436299\pi\) |
−0.317863 | + | 0.948137i | \(0.602965\pi\) | |||||||
\(618\) | 69.9061 | + | 18.7313i | 2.81203 | + | 0.753482i | ||||
\(619\) | −18.1456 | + | 18.1456i | −0.729335 | + | 0.729335i | −0.970487 | − | 0.241152i | \(-0.922475\pi\) |
0.241152 | + | 0.970487i | \(0.422475\pi\) | |||||||
\(620\) | −70.6398 | − | 44.2224i | −2.83696 | − | 1.77602i | ||||
\(621\) | 30.1531 | + | 17.4089i | 1.21000 | + | 0.698595i | ||||
\(622\) | −60.1922 | + | 16.1284i | −2.41349 | + | 0.646692i | ||||
\(623\) | −8.07738 | −0.323613 | ||||||||
\(624\) | 7.53892 | − | 16.5880i | 0.301798 | − | 0.664051i | ||||
\(625\) | −32.5529 | −1.30212 | ||||||||
\(626\) | −74.6893 | + | 20.0129i | −2.98518 | + | 0.799878i | ||||
\(627\) | −8.16007 | + | 14.1337i | −0.325882 | + | 0.564444i | ||||
\(628\) | −16.1921 | + | 9.34850i | −0.646134 | + | 0.373046i | ||||
\(629\) | −8.47719 | + | 8.47719i | −0.338008 | + | 0.338008i | ||||
\(630\) | −0.749088 | − | 0.200717i | −0.0298444 | − | 0.00799677i | ||||
\(631\) | 29.3463 | + | 7.86331i | 1.16826 | + | 0.313033i | 0.790259 | − | 0.612773i | \(-0.209946\pi\) |
0.377998 | + | 0.925807i | \(0.376613\pi\) | |||||||
\(632\) | 3.04654 | − | 3.04654i | 0.121185 | − | 0.121185i | ||||
\(633\) | 30.6902 | − | 17.7190i | 1.21982 | − | 0.704266i | ||||
\(634\) | 9.79575 | + | 5.65558i | 0.389039 | + | 0.224612i | ||||
\(635\) | −5.75710 | − | 21.4858i | −0.228463 | − | 0.852637i | ||||
\(636\) | − | 39.8207i | − | 1.57899i | ||||||
\(637\) | −23.5407 | + | 2.29125i | −0.932718 | + | 0.0907824i | ||||
\(638\) | −64.5512 | −2.55561 | ||||||||
\(639\) | −0.0304649 | − | 0.113697i | −0.00120517 | − | 0.00449776i | ||||
\(640\) | −40.5864 | + | 70.2976i | −1.60432 | + | 2.77876i | ||||
\(641\) | 17.8504 | + | 30.9178i | 0.705048 | + | 1.22118i | 0.966674 | + | 0.256009i | \(0.0824078\pi\) |
−0.261627 | + | 0.965169i | \(0.584259\pi\) | |||||||
\(642\) | 4.09042 | + | 4.09042i | 0.161436 | + | 0.161436i | ||||
\(643\) | −8.59714 | + | 32.0850i | −0.339038 | + | 1.26531i | 0.560386 | + | 0.828232i | \(0.310653\pi\) |
−0.899424 | + | 0.437076i | \(0.856014\pi\) | |||||||
\(644\) | 16.6921 | + | 4.47263i | 0.657760 | + | 0.176246i | ||||
\(645\) | 47.5430 | + | 47.5430i | 1.87200 | + | 1.87200i | ||||
\(646\) | 8.59848 | − | 4.96433i | 0.338303 | − | 0.195319i | ||||
\(647\) | −4.22649 | + | 7.32050i | −0.166161 | + | 0.287799i | −0.937067 | − | 0.349150i | \(-0.886470\pi\) |
0.770906 | + | 0.636949i | \(0.219804\pi\) | |||||||
\(648\) | 39.2580 | − | 10.5192i | 1.54220 | − | 0.413232i | ||||
\(649\) | 51.7997 | 2.03332 | ||||||||
\(650\) | 57.8710 | − | 70.3510i | 2.26989 | − | 2.75939i | ||||
\(651\) | −3.05986 | − | 5.76634i | −0.119926 | − | 0.226001i | ||||
\(652\) | −5.66046 | − | 21.1251i | −0.221681 | − | 0.827324i | ||||
\(653\) | −2.53523 | + | 4.39115i | −0.0992114 | + | 0.171839i | −0.911358 | − | 0.411614i | \(-0.864965\pi\) |
0.812147 | + | 0.583453i | \(0.198299\pi\) | |||||||
\(654\) | −20.4535 | − | 35.4265i | −0.799795 | − | 1.38529i | ||||
\(655\) | 12.4083 | − | 12.4083i | 0.484833 | − | 0.484833i | ||||
\(656\) | 8.94997 | + | 2.39814i | 0.349438 | + | 0.0936315i | ||||
\(657\) | −0.707812 | − | 0.189658i | −0.0276144 | − | 0.00739925i | ||||
\(658\) | 8.81001 | + | 8.81001i | 0.343450 | + | 0.343450i | ||||
\(659\) | −7.32731 | − | 12.6913i | −0.285432 | − | 0.494382i | 0.687282 | − | 0.726391i | \(-0.258804\pi\) |
−0.972714 | + | 0.232008i | \(0.925470\pi\) | |||||||
\(660\) | −110.251 | − | 63.6537i | −4.29153 | − | 2.47772i | ||||
\(661\) | −46.0708 | + | 12.3446i | −1.79195 | + | 0.480151i | −0.992675 | − | 0.120819i | \(-0.961448\pi\) |
−0.799272 | + | 0.600970i | \(0.794781\pi\) | |||||||
\(662\) | −15.6915 | −0.609869 | ||||||||
\(663\) | 7.95908 | + | 11.1339i | 0.309105 | + | 0.432405i | ||||
\(664\) | − | 37.6523i | − | 1.46119i | ||||||
\(665\) | −1.29664 | − | 4.83912i | −0.0502815 | − | 0.187653i | ||||
\(666\) | 1.43584 | + | 0.828981i | 0.0556376 | + | 0.0321224i | ||||
\(667\) | 33.0231 | − | 19.0659i | 1.27866 | − | 0.738234i | ||||
\(668\) | 27.8450 | + | 27.8450i | 1.07736 | + | 1.07736i | ||||
\(669\) | 11.2691 | + | 3.01956i | 0.435690 | + | 0.116743i | ||||
\(670\) | −3.50224 | + | 13.0705i | −0.135303 | + | 0.504959i | ||||
\(671\) | −13.6716 | − | 13.6716i | −0.527786 | − | 0.527786i | ||||
\(672\) | −1.82835 | + | 1.05560i | −0.0705301 | + | 0.0407206i | ||||
\(673\) | 6.92182 | − | 11.9889i | 0.266816 | − | 0.462140i | −0.701222 | − | 0.712943i | \(-0.747362\pi\) |
0.968038 | + | 0.250804i | \(0.0806949\pi\) | |||||||
\(674\) | 3.45367 | + | 12.8893i | 0.133030 | + | 0.496476i | ||||
\(675\) | 53.3188 | 2.05224 | ||||||||
\(676\) | 9.53478 | + | 48.5172i | 0.366722 | + | 1.86605i | ||||
\(677\) | − | 23.2823i | − | 0.894810i | −0.894331 | − | 0.447405i | \(-0.852348\pi\) | ||
0.894331 | − | 0.447405i | \(-0.147652\pi\) | |||||||
\(678\) | 53.0272 | − | 14.2086i | 2.03650 | − | 0.545678i | ||||
\(679\) | 5.08037 | − | 8.79945i | 0.194967 | − | 0.337692i | ||||
\(680\) | 18.3620 | + | 31.8040i | 0.704152 | + | 1.21963i | ||||
\(681\) | 16.6220 | + | 16.6220i | 0.636956 | + | 0.636956i | ||||
\(682\) | −14.4683 | − | 62.9079i | −0.554020 | − | 2.40887i | ||||
\(683\) | −0.605596 | + | 2.26011i | −0.0231725 | + | 0.0864809i | −0.976544 | − | 0.215319i | \(-0.930921\pi\) |
0.953371 | + | 0.301800i | \(0.0975875\pi\) | |||||||
\(684\) | −0.636321 | − | 0.636321i | −0.0243303 | − | 0.0243303i | ||||
\(685\) | −28.9135 | + | 16.6932i | −1.10473 | + | 0.637815i | ||||
\(686\) | −18.7679 | − | 10.8357i | −0.716563 | − | 0.413708i | ||||
\(687\) | 29.3992 | − | 7.87749i | 1.12165 | − | 0.300545i | ||||
\(688\) | −27.6433 | −1.05389 | ||||||||
\(689\) | 12.4215 | + | 17.3763i | 0.473222 | + | 0.661986i | ||||
\(690\) | 114.748 | 4.36837 | ||||||||
\(691\) | 8.35098 | + | 31.1663i | 0.317686 | + | 1.18562i | 0.921463 | + | 0.388467i | \(0.126995\pi\) |
−0.603777 | + | 0.797154i | \(0.706338\pi\) | |||||||
\(692\) | 21.8834 | − | 37.9032i | 0.831884 | − | 1.44086i | ||||
\(693\) | −0.196831 | − | 0.340922i | −0.00747701 | − | 0.0129506i | ||||
\(694\) | 28.5718 | + | 28.5718i | 1.08457 | + | 1.08457i | ||||
\(695\) | 2.14420 | − | 8.00225i | 0.0813340 | − | 0.303543i | ||||
\(696\) | 11.0648 | − | 41.2946i | 0.419412 | − | 1.56527i | ||||
\(697\) | −4.92127 | + | 4.92127i | −0.186406 | + | 0.186406i | ||||
\(698\) | 20.1485 | + | 34.8982i | 0.762631 | + | 1.32092i | ||||
\(699\) | −2.94930 | + | 5.10834i | −0.111553 | + | 0.193215i | ||||
\(700\) | 25.5617 | − | 6.84923i | 0.966141 | − | 0.258877i | ||||
\(701\) | − | 3.84150i | − | 0.145091i | −0.997365 | − | 0.0725456i | \(-0.976888\pi\) | ||
0.997365 | − | 0.0725456i | \(-0.0231123\pi\) | |||||||
\(702\) | −28.0533 | + | 34.1030i | −1.05880 | + | 1.28713i | ||||
\(703\) | 10.7105i | 0.403953i | ||||||||
\(704\) | −46.7498 | + | 12.5266i | −1.76195 | + | 0.472113i | ||||
\(705\) | 46.9561 | + | 27.1101i | 1.76847 | + | 1.02103i | ||||
\(706\) | −21.2769 | − | 36.8526i | −0.800765 | − | 1.38697i | ||||
\(707\) | 2.11847 | − | 2.11847i | 0.0796732 | − | 0.0796732i | ||||
\(708\) | −18.7257 | + | 69.8854i | −0.703756 | + | 2.62645i | ||||
\(709\) | −29.1064 | − | 7.79905i | −1.09312 | − | 0.292899i | −0.333157 | − | 0.942871i | \(-0.608114\pi\) |
−0.759958 | + | 0.649972i | \(0.774781\pi\) | |||||||
\(710\) | 6.39970 | + | 6.39970i | 0.240176 | + | 0.240176i | ||||
\(711\) | 0.105892 | − | 0.0611369i | 0.00397127 | − | 0.00229281i | ||||
\(712\) | 26.4490 | − | 45.8111i | 0.991219 | − | 1.71684i | ||||
\(713\) | 25.9822 | + | 27.9091i | 0.973042 | + | 1.04520i | ||||
\(714\) | 6.06651i | 0.227034i | ||||||||
\(715\) | 67.9658 | − | 6.61518i | 2.54178 | − | 0.247394i | ||||
\(716\) | − | 31.2051i | − | 1.16619i | ||||||
\(717\) | −13.4772 | − | 50.2977i | −0.503316 | − | 1.87840i | ||||
\(718\) | 18.9749 | − | 32.8654i | 0.708135 | − | 1.22653i | ||||
\(719\) | −8.40842 | − | 14.5638i | −0.313581 | − | 0.543138i | 0.665554 | − | 0.746350i | \(-0.268195\pi\) |
−0.979135 | + | 0.203212i | \(0.934862\pi\) | |||||||
\(720\) | 0.981144 | − | 0.981144i | 0.0365651 | − | 0.0365651i | ||||
\(721\) | −10.8930 | − | 2.91878i | −0.405678 | − | 0.108701i | ||||
\(722\) | −9.55084 | + | 35.6442i | −0.355445 | + | 1.32654i | ||||
\(723\) | 8.62841 | + | 8.62841i | 0.320894 | + | 0.320894i | ||||
\(724\) | 29.1061 | − | 16.8044i | 1.08172 | − | 0.624531i | ||||
\(725\) | 29.1969 | − | 50.5705i | 1.08434 | − | 1.87814i | ||||
\(726\) | −13.3997 | − | 50.0083i | −0.497309 | − | 1.85598i | ||||
\(727\) | 20.5908i | 0.763669i | 0.924231 | + | 0.381834i | \(0.124708\pi\) | ||||
−0.924231 | + | 0.381834i | \(0.875292\pi\) | |||||||
\(728\) | −4.29986 | + | 9.46105i | −0.159363 | + | 0.350650i | ||||
\(729\) | −25.8009 | −0.955591 | ||||||||
\(730\) | 54.4239 | − | 14.5828i | 2.01432 | − | 0.539735i | ||||
\(731\) | 10.3818 | − | 17.9819i | 0.383986 | − | 0.665083i | ||||
\(732\) | 23.3873 | − | 13.5026i | 0.864418 | − | 0.499072i | ||||
\(733\) | 31.2141 | − | 31.2141i | 1.15292 | − | 1.15292i | 0.166956 | − | 0.985964i | \(-0.446606\pi\) |
0.985964 | − | 0.166956i | \(-0.0533937\pi\) | |||||||
\(734\) | −1.31267 | + | 4.89895i | −0.0484516 | + | 0.180824i | ||||
\(735\) | −44.0697 | − | 11.8084i | −1.62553 | − | 0.435560i | ||||
\(736\) | 8.72009 | − | 8.72009i | 0.321427 | − | 0.321427i | ||||
\(737\) | −5.94862 | + | 3.43444i | −0.219120 | + | 0.126509i | ||||
\(738\) | 0.833547 | + | 0.481249i | 0.0306833 | + | 0.0177150i | ||||
\(739\) | −10.1439 | − | 37.8574i | −0.373148 | − | 1.39261i | −0.856032 | − | 0.516923i | \(-0.827077\pi\) |
0.482884 | − | 0.875685i | \(-0.339589\pi\) | |||||||
\(740\) | −83.5484 | −3.07130 | ||||||||
\(741\) | 12.0615 | + | 2.00560i | 0.443089 | + | 0.0736776i | ||||
\(742\) | 9.46783i | 0.347575i | ||||||||
\(743\) | 16.5655 | − | 4.43871i | 0.607729 | − | 0.162840i | 0.0581855 | − | 0.998306i | \(-0.481469\pi\) |
0.549543 | + | 0.835465i | \(0.314802\pi\) | |||||||
\(744\) | 42.7234 | + | 1.52754i | 1.56631 | + | 0.0560022i | ||||
\(745\) | 21.8350 | − | 12.6064i | 0.799971 | − | 0.461864i | ||||
\(746\) | −27.8312 | + | 27.8312i | −1.01897 | + | 1.01897i | ||||
\(747\) | 0.276566 | − | 1.03216i | 0.0101190 | − | 0.0377647i | ||||
\(748\) | −10.1754 | + | 37.9752i | −0.372050 | + | 1.38851i | ||||
\(749\) | −0.637386 | − | 0.637386i | −0.0232896 | − | 0.0232896i | ||||
\(750\) | 79.6275 | − | 45.9730i | 2.90759 | − | 1.67870i | ||||
\(751\) | −40.0834 | − | 23.1422i | −1.46266 | − | 0.844470i | −0.463530 | − | 0.886081i | \(-0.653418\pi\) |
−0.999134 | + | 0.0416114i | \(0.986751\pi\) | |||||||
\(752\) | −21.5325 | + | 5.76961i | −0.785208 | + | 0.210396i | ||||
\(753\) | − | 41.9544i | − | 1.52890i | ||||||
\(754\) | 16.9834 | + | 45.2817i | 0.618500 | + | 1.64906i | ||||
\(755\) | − | 71.8116i | − | 2.61349i | ||||||
\(756\) | −12.3912 | + | 3.32020i | −0.450662 | + | 0.120754i | ||||
\(757\) | 21.6716 | + | 12.5121i | 0.787667 | + | 0.454760i | 0.839140 | − | 0.543915i | \(-0.183059\pi\) |
−0.0514738 | + | 0.998674i | \(0.516392\pi\) | |||||||
\(758\) | −46.1682 | + | 26.6552i | −1.67690 | + | 0.968161i | ||||
\(759\) | 41.1874 | + | 41.1874i | 1.49501 | + | 1.49501i | ||||
\(760\) | 31.6910 | + | 8.49158i | 1.14955 | + | 0.308022i | ||||
\(761\) | −3.92810 | − | 1.05253i | −0.142394 | − | 0.0381543i | 0.186918 | − | 0.982375i | \(-0.440150\pi\) |
−0.329312 | + | 0.944221i | \(0.606817\pi\) | |||||||
\(762\) | 17.0157 | + | 17.0157i | 0.616414 | + | 0.616414i | ||||
\(763\) | 3.18715 | + | 5.52030i | 0.115382 | + | 0.199848i | ||||
\(764\) | 36.7712 | + | 21.2299i | 1.33034 | + | 0.768070i | ||||
\(765\) | 0.269748 | + | 1.00671i | 0.00975275 | + | 0.0363978i | ||||
\(766\) | 30.9467 | 1.11815 | ||||||||
\(767\) | −13.6285 | − | 36.3368i | −0.492098 | − | 1.31204i | ||||
\(768\) | − | 52.2681i | − | 1.88606i | ||||||
\(769\) | 0.896750 | + | 3.34672i | 0.0323376 | + | 0.120686i | 0.980208 | − | 0.197971i | \(-0.0634351\pi\) |
−0.947870 | + | 0.318656i | \(0.896768\pi\) | |||||||
\(770\) | 26.2136 | + | 15.1344i | 0.944672 | + | 0.545407i | ||||
\(771\) | 0.654232 | + | 1.13316i | 0.0235616 | + | 0.0408099i | ||||
\(772\) | −51.4912 | + | 51.4912i | −1.85321 | + | 1.85321i | ||||
\(773\) | −10.7320 | + | 40.0523i | −0.386003 | + | 1.44058i | 0.450578 | + | 0.892737i | \(0.351218\pi\) |
−0.836581 | + | 0.547844i | \(0.815449\pi\) | |||||||
\(774\) | −2.77367 | − | 0.743204i | −0.0996977 | − | 0.0267139i | ||||
\(775\) | 55.8272 | + | 17.1189i | 2.00537 | + | 0.614929i | ||||
\(776\) | 33.2709 | + | 57.6269i | 1.19436 | + | 2.06868i | ||||
\(777\) | −5.66745 | − | 3.27210i | −0.203319 | − | 0.117386i | ||||
\(778\) | −10.2816 | − | 38.3715i | −0.368614 | − | 1.37568i | ||||
\(779\) | 6.21775i | 0.222774i | ||||||||
\(780\) | −15.6449 | + | 94.0871i | −0.560179 | + | 3.36886i | ||||
\(781\) | 4.59420i | 0.164394i | ||||||||
\(782\) | −9.17155 | − | 34.2287i | −0.327974 | − | 1.22402i | ||||
\(783\) | −14.1533 | + | 24.5143i | −0.505799 | + | 0.876069i | ||||
\(784\) | 16.2448 | − | 9.37895i | 0.580172 | − | 0.334963i | ||||
\(785\) | 13.6795 | − | 13.6795i | 0.488241 | − | 0.488241i | ||||
\(786\) | −4.91340 | + | 18.3370i | −0.175255 | + | 0.654061i | ||||
\(787\) | 22.5660 | + | 6.04654i | 0.804391 | + | 0.215536i | 0.637511 | − | 0.770441i | \(-0.279964\pi\) |
0.166880 | + | 0.985977i | \(0.446631\pi\) | |||||||
\(788\) | −53.9306 | + | 53.9306i | −1.92120 | + | 1.92120i | ||||
\(789\) | −17.2819 | − | 29.9331i | −0.615251 | − | 1.06565i | ||||
\(790\) | −4.70083 | + | 8.14207i | −0.167248 | + | 0.289682i | ||||
\(791\) | −8.26292 | + | 2.21404i | −0.293795 | + | 0.0787223i | ||||
\(792\) | 2.57807 | 0.0916076 | ||||||||
\(793\) | −5.99342 | + | 13.1874i | −0.212833 | + | 0.468299i | ||||
\(794\) | 19.4964 | 0.691900 | ||||||||
\(795\) | 10.6639 | + | 39.7983i | 0.378210 | + | 1.41150i | ||||
\(796\) | −52.7262 | − | 30.4415i | −1.86883 | − | 1.07897i | ||||
\(797\) | 5.10330 | + | 8.83917i | 0.180768 | + | 0.313099i | 0.942142 | − | 0.335213i | \(-0.108808\pi\) |
−0.761374 | + | 0.648313i | \(0.775475\pi\) | |||||||
\(798\) | 3.83236 | + | 3.83236i | 0.135664 | + | 0.135664i | ||||
\(799\) | 4.33371 | − | 16.1736i | 0.153316 | − | 0.572182i | ||||
\(800\) | 4.88778 | − | 18.2414i | 0.172809 | − | 0.644932i | ||||
\(801\) | 1.06154 | − | 1.06154i | 0.0375076 | − | 0.0375076i | ||||
\(802\) | 68.6607 | − | 39.6413i | 2.42449 | − | 1.39978i | ||||
\(803\) | 24.7692 | + | 14.3005i | 0.874086 | + | 0.504654i | ||||
\(804\) | −2.48311 | − | 9.26711i | −0.0875727 | − | 0.326826i | ||||
\(805\) | −17.8805 | −0.630203 | ||||||||
\(806\) | −40.3223 | + | 26.7004i | −1.42029 | + | 0.940481i | ||||
\(807\) | −50.4020 | −1.77424 | ||||||||
\(808\) | 5.07812 | + | 18.9518i | 0.178648 | + | 0.666722i | ||||
\(809\) | 16.5703 | + | 9.56685i | 0.582579 | + | 0.336352i | 0.762158 | − | 0.647391i | \(-0.224140\pi\) |
−0.179578 | + | 0.983744i | \(0.557473\pi\) | |||||||
\(810\) | −76.8065 | + | 44.3442i | −2.69870 | + | 1.55810i | ||||
\(811\) | 15.3684 | − | 15.3684i | 0.539657 | − | 0.539657i | −0.383771 | − | 0.923428i | \(-0.625375\pi\) |
0.923428 | + | 0.383771i | \(0.125375\pi\) | |||||||
\(812\) | −3.63622 | + | 13.5706i | −0.127606 | + | 0.476233i | ||||
\(813\) | 5.55814 | − | 20.7433i | 0.194933 | − | 0.727498i | ||||
\(814\) | −45.7579 | − | 45.7579i | −1.60381 | − | 1.60381i | ||||
\(815\) | 11.3146 | + | 19.5974i | 0.396332 | + | 0.686467i | ||||
\(816\) | −9.40001 | − | 5.42710i | −0.329066 | − | 0.189987i | ||||
\(817\) | −4.80111 | − | 17.9180i | −0.167970 | − | 0.626872i | ||||
\(818\) | 53.3865 | 1.86661 | ||||||||
\(819\) | −0.187365 | + | 0.227771i | −0.00654708 | + | 0.00795896i | ||||
\(820\) | −48.5024 | −1.69378 | ||||||||
\(821\) | −40.1696 | + | 10.7634i | −1.40193 | + | 0.375646i | −0.879037 | − | 0.476754i | \(-0.841813\pi\) |
−0.522891 | + | 0.852399i | \(0.675147\pi\) | |||||||
\(822\) | 18.0592 | − | 31.2794i | 0.629886 | − | 1.09099i | ||||
\(823\) | −8.33933 | − | 14.4441i | −0.290691 | − | 0.503491i | 0.683282 | − | 0.730154i | \(-0.260552\pi\) |
−0.973973 | + | 0.226663i | \(0.927218\pi\) | |||||||
\(824\) | 52.2228 | − | 52.2228i | 1.81927 | − | 1.81927i | ||||
\(825\) | 86.1594 | + | 23.0863i | 2.99969 | + | 0.803763i | ||||
\(826\) | 4.45226 | − | 16.6161i | 0.154914 | − | 0.578147i | ||||
\(827\) | −6.32126 | + | 6.32126i | −0.219812 | + | 0.219812i | −0.808419 | − | 0.588607i | \(-0.799676\pi\) |
0.588607 | + | 0.808419i | \(0.299676\pi\) | |||||||
\(828\) | −2.78149 | + | 1.60589i | −0.0966635 | + | 0.0558087i | ||||
\(829\) | −6.07138 | + | 10.5159i | −0.210868 | + | 0.365233i | −0.951986 | − | 0.306141i | \(-0.900962\pi\) |
0.741119 | + | 0.671374i | \(0.234296\pi\) | |||||||
\(830\) | 21.2652 | + | 79.3629i | 0.738126 | + | 2.75473i | ||||
\(831\) | − | 24.4031i | − | 0.846536i | ||||||
\(832\) | 21.0871 | + | 29.4986i | 0.731064 | + | 1.02268i | ||||
\(833\) | 14.0896i | 0.488175i | ||||||||
\(834\) | 2.31965 | + | 8.65706i | 0.0803230 | + | 0.299769i | ||||
\(835\) | −35.2862 | − | 20.3725i | −1.22113 | − | 0.705020i | ||||
\(836\) | 17.5618 | + | 30.4179i | 0.607386 | + | 1.05202i | ||||
\(837\) | −27.0625 | − | 8.29847i | −0.935417 | − | 0.286837i | ||||
\(838\) | −57.6450 | − | 15.4459i | −1.99131 | − | 0.533571i | ||||
\(839\) | −8.12232 | + | 30.3129i | −0.280414 | + | 1.04652i | 0.671712 | + | 0.740812i | \(0.265559\pi\) |
−0.952126 | + | 0.305706i | \(0.901108\pi\) | |||||||
\(840\) | −14.1751 | + | 14.1751i | −0.489087 | + | 0.489087i | ||||
\(841\) | 1.00045 | + | 1.73283i | 0.0344983 | + | 0.0597529i | ||||
\(842\) | −83.9527 | − | 48.4701i | −2.89320 | − | 1.67039i | ||||
\(843\) | 3.66614 | + | 13.6822i | 0.126269 | + | 0.471241i | ||||
\(844\) | − | 76.2680i | − | 2.62525i | ||||||
\(845\) | −22.5223 | − | 45.9365i | −0.774789 | − | 1.58026i | ||||
\(846\) | −2.31564 | −0.0796135 | ||||||||
\(847\) | 2.08799 | + | 7.79250i | 0.0717443 | + | 0.267753i | ||||
\(848\) | −14.6703 | − | 8.46992i | −0.503781 | − | 0.290858i | ||||
\(849\) | 7.60617 | + | 13.1743i | 0.261043 | + | 0.452140i | ||||
\(850\) | −38.3717 | − | 38.3717i | −1.31614 | − | 1.31614i | ||||
\(851\) | 36.9239 | + | 9.89374i | 1.26574 | + | 0.339153i | ||||
\(852\) | −6.19825 | − | 1.66082i | −0.212348 | − | 0.0568986i | ||||
\(853\) | −17.0458 | − | 17.0458i | −0.583635 | − | 0.583635i | 0.352265 | − | 0.935900i | \(-0.385412\pi\) |
−0.935900 | + | 0.352265i | \(0.885412\pi\) | |||||||
\(854\) | −5.56060 | + | 3.21041i | −0.190280 | + | 0.109858i | ||||
\(855\) | 0.806369 | + | 0.465557i | 0.0275772 | + | 0.0159217i | ||||
\(856\) | 5.70204 | − | 1.52786i | 0.194892 | − | 0.0522211i | ||||
\(857\) | − | 8.25791i | − | 0.282085i | −0.990004 | − | 0.141042i | \(-0.954955\pi\) | ||
0.990004 | − | 0.141042i | \(-0.0450454\pi\) | |||||||
\(858\) | −60.0982 | + | 42.9613i | −2.05172 | + | 1.46667i | ||||
\(859\) | 37.1360i | 1.26706i | 0.773716 | + | 0.633532i | \(0.218396\pi\) | ||||
−0.773716 | + | 0.633532i | \(0.781604\pi\) | |||||||
\(860\) | 139.772 | − | 37.4517i | 4.76618 | − | 1.27709i | ||||
\(861\) | −3.29013 | − | 1.89955i | −0.112127 | − | 0.0647367i | ||||
\(862\) | 48.8874 | − | 28.2252i | 1.66511 | − | 0.961353i | ||||
\(863\) | −7.78078 | − | 7.78078i | −0.264861 | − | 0.264861i | 0.562165 | − | 0.827025i | \(-0.309969\pi\) |
−0.827025 | + | 0.562165i | \(0.809969\pi\) | |||||||
\(864\) | −2.36937 | + | 8.84263i | −0.0806078 | + | 0.300832i | ||||
\(865\) | −11.7207 | + | 43.7423i | −0.398516 | + | 1.48728i | ||||
\(866\) | 15.3839 | − | 15.3839i | 0.522766 | − | 0.522766i | ||||
\(867\) | −18.9581 | + | 10.9455i | −0.643852 | + | 0.371728i | ||||
\(868\) | −14.0401 | − | 0.501991i | −0.476552 | − | 0.0170387i | ||||
\(869\) | −4.60982 | + | 1.23520i | −0.156377 | + | 0.0419012i | ||||
\(870\) | 93.2892i | 3.16280i | ||||||||
\(871\) | 3.97429 | + | 3.26927i | 0.134664 | + | 0.110775i | ||||
\(872\) | −41.7447 | −1.41365 | ||||||||
\(873\) | 0.488767 | + | 1.82410i | 0.0165422 | + | 0.0617365i | ||||
\(874\) | −27.4169 | − | 15.8292i | −0.927392 | − | 0.535430i | ||||
\(875\) | −12.4079 | + | 7.16369i | −0.419463 | + | 0.242177i | ||||
\(876\) | −28.2476 | + | 28.2476i | −0.954397 | + | 0.954397i | ||||
\(877\) | 15.0354 | + | 4.02873i | 0.507710 | + | 0.136041i | 0.503576 | − | 0.863951i | \(-0.332017\pi\) |
0.00413429 | + | 0.999991i | \(0.498684\pi\) | |||||||
\(878\) | 22.8256 | − | 85.1863i | 0.770327 | − | 2.87490i | ||||
\(879\) | 32.6479 | − | 32.6479i | 1.10119 | − | 1.10119i | ||||
\(880\) | −46.9013 | + | 27.0785i | −1.58104 | + | 0.912816i | ||||
\(881\) | 14.1049 | − | 24.4303i | 0.475205 | − | 0.823078i | −0.524392 | − | 0.851477i | \(-0.675707\pi\) |
0.999597 | + | 0.0283985i | \(0.00904073\pi\) | |||||||
\(882\) | 1.88213 | − | 0.504315i | 0.0633746 | − | 0.0169812i | ||||
\(883\) | 11.1542 | 0.375369 | 0.187685 | − | 0.982229i | \(-0.439902\pi\) | ||||
0.187685 | + | 0.982229i | \(0.439902\pi\) | |||||||
\(884\) | 29.3162 | − | 2.85338i | 0.986011 | − | 0.0959694i | ||||
\(885\) | − | 74.8608i | − | 2.51642i | ||||||
\(886\) | 4.60585 | + | 17.1893i | 0.154737 | + | 0.577485i | ||||
\(887\) | 17.6535 | − | 30.5768i | 0.592747 | − | 1.02667i | −0.401114 | − | 0.916028i | \(-0.631377\pi\) |
0.993861 | − | 0.110639i | \(-0.0352898\pi\) | |||||||
\(888\) | 37.1156 | − | 21.4287i | 1.24552 | − | 0.719101i | ||||
\(889\) | −2.65146 | − | 2.65146i | −0.0889271 | − | 0.0889271i | ||||
\(890\) | −29.8757 | + | 111.498i | −1.00144 | + | 3.73741i | ||||
\(891\) | −43.4857 | − | 11.6520i | −1.45683 | − | 0.390355i | ||||
\(892\) | 17.7544 | − | 17.7544i | 0.594461 | − | 0.594461i | ||||
\(893\) | −7.47956 | − | 12.9550i | −0.250294 | − | 0.433522i | ||||
\(894\) | −13.6380 | + | 23.6217i | −0.456122 | + | 0.790027i | ||||
\(895\) | 8.35668 | + | 31.1876i | 0.279333 | + | 1.04249i | ||||
\(896\) | 13.6837i | 0.457139i | ||||||||
\(897\) | 18.0560 | − | 39.7288i | 0.602871 | − | 1.32651i | ||||
\(898\) | 38.2965i | 1.27797i | ||||||||
\(899\) | −22.6899 | + | 21.1234i | −0.756750 | + | 0.704504i | ||||
\(900\) | −2.45921 | + | 4.25948i | −0.0819738 | + | 0.141983i | ||||
\(901\) | 11.0193 | − | 6.36199i | 0.367106 | − | 0.211949i | ||||
\(902\) | −26.5639 | − | 26.5639i | −0.884480 | − | 0.884480i | ||||
\(903\) | 10.9481 | + | 2.93353i | 0.364329 | + | 0.0976217i | ||||
\(904\) | 14.4996 | − | 54.1131i | 0.482249 | − | 1.79978i | ||||
\(905\) | −24.5895 | + | 24.5895i | −0.817384 | + | 0.817384i | ||||
\(906\) | 38.8439 | + | 67.2796i | 1.29050 | + | 2.23521i | ||||
\(907\) | 9.14116 | + | 5.27765i | 0.303527 | + | 0.175242i | 0.644026 | − | 0.765003i | \(-0.277263\pi\) |
−0.340499 | + | 0.940245i | \(0.610596\pi\) | |||||||
\(908\) | 48.8670 | − | 13.0939i | 1.62171 | − | 0.434535i | ||||
\(909\) | 0.556823i | 0.0184687i | ||||||||
\(910\) | 3.71977 | − | 22.3703i | 0.123309 | − | 0.741569i | ||||
\(911\) | 5.14705i | 0.170529i | 0.996358 | + | 0.0852647i | \(0.0271736\pi\) | ||||
−0.996358 | + | 0.0852647i | \(0.972826\pi\) | |||||||
\(912\) | −9.36663 | + | 2.50978i | −0.310160 | + | 0.0831072i | ||||
\(913\) | −20.8535 | + | 36.1193i | −0.690150 | + | 1.19538i | ||||
\(914\) | −10.2940 | − | 17.8297i | −0.340494 | − | 0.589753i | ||||
\(915\) | −19.7581 | + | 19.7581i | −0.653184 | + | 0.653184i | ||||
\(916\) | 16.9536 | − | 63.2717i | 0.560162 | − | 2.09055i | ||||
\(917\) | 0.765626 | − | 2.85735i | 0.0252832 | − | 0.0943581i | ||||
\(918\) | 18.6009 | + | 18.6009i | 0.613920 | + | 0.613920i | ||||
\(919\) | 4.53429 | + | 7.85362i | 0.149572 | + | 0.259067i | 0.931070 | − | 0.364842i | \(-0.118877\pi\) |
−0.781497 | + | 0.623909i | \(0.785544\pi\) | |||||||
\(920\) | 58.5488 | − | 101.410i | 1.93030 | − | 3.34337i | ||||
\(921\) | −2.31773 | − | 8.64987i | −0.0763716 | − | 0.285023i | ||||
\(922\) | −42.4781 | −1.39894 | ||||||||
\(923\) | 3.22277 | − | 1.20874i | 0.106079 | − | 0.0397860i | ||||
\(924\) | −21.4608 | −0.706009 | ||||||||
\(925\) | 56.5441 | − | 15.1509i | 1.85916 | − | 0.498160i | ||||
\(926\) | 76.2850 | + | 44.0432i | 2.50688 | + | 1.44735i | ||||
\(927\) | 1.81517 | − | 1.04799i | 0.0596179 | − | 0.0344204i | ||||
\(928\) | 7.08938 | + | 7.08938i | 0.232720 | + | 0.232720i | ||||
\(929\) | 2.35080 | − | 8.77332i | 0.0771273 | − | 0.287843i | −0.916580 | − | 0.399852i | \(-0.869062\pi\) |
0.993707 | + | 0.112008i | \(0.0357284\pi\) | |||||||
\(930\) | −90.9143 | + | 20.9095i | −2.98120 | + | 0.685651i | ||||
\(931\) | 8.90072 | + | 8.90072i | 0.291709 | + | 0.291709i | ||||
\(932\) | 6.34736 | + | 10.9939i | 0.207915 | + | 0.360119i | ||||
\(933\) | −22.8575 | + | 39.5904i | −0.748322 | + | 1.29613i | ||||
\(934\) | 34.1066 | − | 9.13883i | 1.11600 | − | 0.299032i | ||||
\(935\) | − | 40.6788i | − | 1.33034i | ||||||
\(936\) | −0.678290 | − | 1.80847i | −0.0221706 | − | 0.0591118i | ||||
\(937\) | 58.1639 | 1.90013 | 0.950066 | − | 0.312049i | \(-0.101015\pi\) | ||||
0.950066 | + | 0.312049i | \(0.101015\pi\) | |||||||
\(938\) | 0.590390 | + | 2.20336i | 0.0192769 | + | 0.0719424i | ||||
\(939\) | −28.3627 | + | 49.1256i | −0.925581 | + | 1.60315i | ||||
\(940\) | 101.057 | − | 58.3453i | 3.29611 | − | 1.90301i | ||||
\(941\) | −24.2482 | − | 24.2482i | −0.790468 | − | 0.790468i | 0.191102 | − | 0.981570i | \(-0.438794\pi\) |
−0.981570 | + | 0.191102i | \(0.938794\pi\) | |||||||
\(942\) | −5.41675 | + | 20.2156i | −0.176487 | + | 0.658659i | ||||
\(943\) | 21.4355 | + | 5.74362i | 0.698035 | + | 0.187038i | ||||
\(944\) | 21.7635 | + | 21.7635i | 0.708341 | + | 0.708341i | ||||
\(945\) | 11.4950 | − | 6.63667i | 0.373934 | − | 0.215891i | ||||
\(946\) | 97.0620 | + | 56.0388i | 3.15576 | + | 1.82198i | ||||
\(947\) | 13.3480 | + | 49.8153i | 0.433751 | + | 1.61878i | 0.744038 | + | 0.668137i | \(0.232908\pi\) |
−0.310288 | + | 0.950643i | \(0.600425\pi\) | |||||||
\(948\) | − | 6.66584i | − | 0.216496i | ||||||
\(949\) | 3.51481 | − | 21.1377i | 0.114095 | − | 0.686158i | ||||
\(950\) | −48.4806 | −1.57292 | ||||||||
\(951\) | 8.01519 | − | 2.14766i | 0.259910 | − | 0.0696427i | ||||
\(952\) | 5.36135 | + | 3.09537i | 0.173762 | + | 0.100322i | ||||
\(953\) | 0.767733 | + | 1.32975i | 0.0248693 | + | 0.0430749i | 0.878192 | − | 0.478308i | \(-0.158750\pi\) |
−0.853323 | + | 0.521383i | \(0.825416\pi\) | |||||||
\(954\) | −1.24427 | − | 1.24427i | −0.0402848 | − | 0.0402848i | ||||
\(955\) | −42.4359 | − | 11.3707i | −1.37319 | − | 0.367946i | ||||
\(956\) | −108.249 | − | 29.0051i | −3.50101 | − | 0.938093i | ||||
\(957\) | −33.4851 | + | 33.4851i | −1.08242 | + | 1.08242i | ||||
\(958\) | −50.0108 | − | 86.6213i | −1.61578 | − | 2.79861i | ||||
\(959\) | −2.81405 | + | 4.87408i | −0.0908705 | + | 0.157392i | ||||
\(960\) | 18.1034 | + | 67.5627i | 0.584284 | + | 2.18058i | ||||
\(961\) | −25.6713 | − | 17.3777i | −0.828106 | − | 0.560572i | ||||
\(962\) | −20.0596 | + | 44.1374i | −0.646747 | + | 1.42305i | ||||
\(963\) | 0.167532 | 0.00539864 | ||||||||
\(964\) | 25.3667 | − | 6.79698i | 0.817006 | − | 0.218916i | ||||
\(965\) | 37.6730 | − | 65.2515i | 1.21274 | − | 2.10052i | ||||
\(966\) | 16.7520 | − | 9.67179i | 0.538988 | − | 0.311185i | ||||
\(967\) | 5.11482 | + | 5.11482i | 0.164481 | + | 0.164481i | 0.784549 | − | 0.620067i | \(-0.212895\pi\) |
−0.620067 | + | 0.784549i | \(0.712895\pi\) | |||||||
\(968\) | −51.0324 | − | 13.6741i | −1.64024 | − | 0.439502i | ||||
\(969\) | 1.88517 | − | 7.03554i | 0.0605603 | − | 0.226014i | ||||
\(970\) | −102.674 | − | 102.674i | −3.29667 | − | 3.29667i | ||||
\(971\) | 16.5307 | + | 28.6321i | 0.530496 | + | 0.918847i | 0.999367 | + | 0.0355798i | \(0.0113278\pi\) |
−0.468870 | + | 0.883267i | \(0.655339\pi\) | |||||||
\(972\) | 2.43533 | − | 4.21811i | 0.0781131 | − | 0.135296i | ||||
\(973\) | −0.361457 | − | 1.34898i | −0.0115878 | − | 0.0432462i | ||||
\(974\) | −39.3548 | −1.26101 | ||||||||
\(975\) | −6.47384 | − | 66.5136i | −0.207329 | − | 2.13014i | ||||
\(976\) | − | 11.4881i | − | 0.367726i | ||||||
\(977\) | −2.55932 | − | 9.55152i | −0.0818800 | − | 0.305580i | 0.912825 | − | 0.408351i | \(-0.133896\pi\) |
−0.994705 | + | 0.102770i | \(0.967229\pi\) | |||||||
\(978\) | −21.2010 | − | 12.2404i | −0.677933 | − | 0.391405i | ||||
\(979\) | −50.7444 | + | 29.2973i | −1.62180 | + | 0.936346i | ||||
\(980\) | −69.4312 | + | 69.4312i | −2.21790 | + | 2.21790i | ||||
\(981\) | −1.14434 | − | 0.306626i | −0.0365361 | − | 0.00978981i | ||||
\(982\) | −32.4337 | − | 8.69058i | −1.03500 | − | 0.277328i | ||||
\(983\) | 5.60974 | − | 5.60974i | 0.178923 | − | 0.178923i | −0.611963 | − | 0.790886i | \(-0.709620\pi\) |
0.790886 | + | 0.611963i | \(0.209620\pi\) | |||||||
\(984\) | 21.5468 | − | 12.4400i | 0.686885 | − | 0.396574i | ||||
\(985\) | 39.4577 | − | 68.3428i | 1.25723 | − | 2.17758i | ||||
\(986\) | 27.8277 | − | 7.45642i | 0.886215 | − | 0.237461i | ||||
\(987\) | 9.14017 | 0.290935 | ||||||||
\(988\) | 16.7172 | − | 20.3223i | 0.531844 | − | 0.646537i | ||||
\(989\) | −66.2066 | −2.10525 | ||||||||
\(990\) | −5.43400 | + | 1.45604i | −0.172704 | + | 0.0462759i | ||||
\(991\) | −33.4027 | − | 19.2851i | −1.06107 | − | 0.612611i | −0.135344 | − | 0.990799i | \(-0.543214\pi\) |
−0.925729 | + | 0.378188i | \(0.876547\pi\) | |||||||
\(992\) | −5.31991 | + | 8.49789i | −0.168907 | + | 0.269808i | ||||
\(993\) | −8.13979 | + | 8.13979i | −0.258308 | + | 0.258308i | ||||
\(994\) | 1.47371 | + | 0.394878i | 0.0467431 | + | 0.0125248i | ||||
\(995\) | 60.8487 | + | 16.3044i | 1.92903 | + | 0.516883i | ||||
\(996\) | −41.1916 | − | 41.1916i | −1.30521 | − | 1.30521i | ||||
\(997\) | 11.7392 | + | 20.3330i | 0.371785 | + | 0.643951i | 0.989840 | − | 0.142184i | \(-0.0454124\pi\) |
−0.618055 | + | 0.786135i | \(0.712079\pi\) | |||||||
\(998\) | 17.3434 | − | 30.0397i | 0.548996 | − | 0.950889i | ||||
\(999\) | −27.4100 | + | 7.34449i | −0.867215 | + | 0.232370i |
(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 | 403.2.bg.a.123.3 | ✓ | 144 | |
13.11 | odd | 12 | inner | 403.2.bg.a.154.4 | yes | 144 | |
31.30 | odd | 2 | inner | 403.2.bg.a.123.4 | yes | 144 | |
403.154 | even | 12 | inner | 403.2.bg.a.154.3 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bg.a.123.3 | ✓ | 144 | 1.1 | even | 1 | trivial | |
403.2.bg.a.123.4 | yes | 144 | 31.30 | odd | 2 | inner | |
403.2.bg.a.154.3 | yes | 144 | 403.154 | even | 12 | inner | |
403.2.bg.a.154.4 | yes | 144 | 13.11 | odd | 12 | inner |