Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,3,Mod(229,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.229");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.f (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(18.8011382409\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 229.8 | ||
Character | \(\chi\) | \(=\) | 690.229 |
Dual form | 690.3.f.a.229.6 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41421i | 0.707107i | ||||||||
\(3\) | 1.73205i | 0.577350i | ||||||||
\(4\) | −2.00000 | −0.500000 | ||||||||
\(5\) | 3.10921 | − | 3.91571i | 0.621842 | − | 0.783142i | ||||
\(6\) | −2.44949 | −0.408248 | ||||||||
\(7\) | −3.09410 | −0.442015 | −0.221007 | − | 0.975272i | \(-0.570934\pi\) | ||||
−0.221007 | + | 0.975272i | \(0.570934\pi\) | |||||||
\(8\) | − | 2.82843i | − | 0.353553i | ||||||
\(9\) | −3.00000 | −0.333333 | ||||||||
\(10\) | 5.53765 | + | 4.39709i | 0.553765 | + | 0.439709i | ||||
\(11\) | − | 15.9443i | − | 1.44949i | −0.689019 | − | 0.724743i | \(-0.741958\pi\) | ||
0.689019 | − | 0.724743i | \(-0.258042\pi\) | |||||||
\(12\) | − | 3.46410i | − | 0.288675i | ||||||
\(13\) | 24.8732i | 1.91332i | 0.291208 | + | 0.956660i | \(0.405943\pi\) | ||||
−0.291208 | + | 0.956660i | \(0.594057\pi\) | |||||||
\(14\) | − | 4.37572i | − | 0.312551i | ||||||
\(15\) | 6.78221 | + | 5.38531i | 0.452148 | + | 0.359021i | ||||
\(16\) | 4.00000 | 0.250000 | ||||||||
\(17\) | −12.6980 | −0.746940 | −0.373470 | − | 0.927642i | \(-0.621832\pi\) | ||||
−0.373470 | + | 0.927642i | \(0.621832\pi\) | |||||||
\(18\) | − | 4.24264i | − | 0.235702i | ||||||
\(19\) | 10.4874i | 0.551969i | 0.961162 | + | 0.275984i | \(0.0890038\pi\) | ||||
−0.961162 | + | 0.275984i | \(0.910996\pi\) | |||||||
\(20\) | −6.21842 | + | 7.83142i | −0.310921 | + | 0.391571i | ||||
\(21\) | − | 5.35914i | − | 0.255197i | ||||||
\(22\) | 22.5487 | 1.02494 | ||||||||
\(23\) | −22.9821 | + | 0.906621i | −0.999223 | + | 0.0394183i | ||||
\(24\) | 4.89898 | 0.204124 | ||||||||
\(25\) | −5.66561 | − | 24.3496i | −0.226624 | − | 0.973982i | ||||
\(26\) | −35.1760 | −1.35292 | ||||||||
\(27\) | − | 5.19615i | − | 0.192450i | ||||||
\(28\) | 6.18820 | 0.221007 | ||||||||
\(29\) | −44.7809 | −1.54417 | −0.772084 | − | 0.635520i | \(-0.780786\pi\) | ||||
−0.772084 | + | 0.635520i | \(0.780786\pi\) | |||||||
\(30\) | −7.61598 | + | 9.59150i | −0.253866 | + | 0.319717i | ||||
\(31\) | −50.0174 | −1.61346 | −0.806732 | − | 0.590917i | \(-0.798766\pi\) | ||||
−0.806732 | + | 0.590917i | \(0.798766\pi\) | |||||||
\(32\) | 5.65685i | 0.176777i | ||||||||
\(33\) | 27.6164 | 0.836861 | ||||||||
\(34\) | − | 17.9577i | − | 0.528167i | ||||||
\(35\) | −9.62022 | + | 12.1156i | −0.274863 | + | 0.346160i | ||||
\(36\) | 6.00000 | 0.166667 | ||||||||
\(37\) | −39.1282 | −1.05752 | −0.528759 | − | 0.848772i | \(-0.677343\pi\) | ||||
−0.528759 | + | 0.848772i | \(0.677343\pi\) | |||||||
\(38\) | −14.8314 | −0.390301 | ||||||||
\(39\) | −43.0816 | −1.10466 | ||||||||
\(40\) | −11.0753 | − | 8.79418i | −0.276883 | − | 0.219854i | ||||
\(41\) | 41.3571 | 1.00871 | 0.504355 | − | 0.863497i | \(-0.331730\pi\) | ||||
0.504355 | + | 0.863497i | \(0.331730\pi\) | |||||||
\(42\) | 7.57897 | 0.180452 | ||||||||
\(43\) | 71.6357 | 1.66595 | 0.832973 | − | 0.553313i | \(-0.186637\pi\) | ||||
0.832973 | + | 0.553313i | \(0.186637\pi\) | |||||||
\(44\) | 31.8887i | 0.724743i | ||||||||
\(45\) | −9.32763 | + | 11.7471i | −0.207281 | + | 0.261047i | ||||
\(46\) | −1.28216 | − | 32.5016i | −0.0278730 | − | 0.706557i | ||||
\(47\) | − | 17.3085i | − | 0.368266i | −0.982901 | − | 0.184133i | \(-0.941052\pi\) | ||
0.982901 | − | 0.184133i | \(-0.0589477\pi\) | |||||||
\(48\) | 6.92820i | 0.144338i | ||||||||
\(49\) | −39.4265 | −0.804623 | ||||||||
\(50\) | 34.4355 | − | 8.01238i | 0.688709 | − | 0.160248i | ||||
\(51\) | − | 21.9936i | − | 0.431246i | ||||||
\(52\) | − | 49.7463i | − | 0.956660i | ||||||
\(53\) | −39.6184 | −0.747517 | −0.373758 | − | 0.927526i | \(-0.621931\pi\) | ||||
−0.373758 | + | 0.927526i | \(0.621931\pi\) | |||||||
\(54\) | 7.34847 | 0.136083 | ||||||||
\(55\) | −62.4335 | − | 49.5744i | −1.13515 | − | 0.901352i | ||||
\(56\) | 8.75144i | 0.156276i | ||||||||
\(57\) | −18.1647 | −0.318679 | ||||||||
\(58\) | − | 63.3298i | − | 1.09189i | ||||||
\(59\) | 24.0107 | 0.406961 | 0.203481 | − | 0.979079i | \(-0.434775\pi\) | ||||
0.203481 | + | 0.979079i | \(0.434775\pi\) | |||||||
\(60\) | −13.5644 | − | 10.7706i | −0.226074 | − | 0.179510i | ||||
\(61\) | 76.0777i | 1.24717i | 0.781754 | + | 0.623587i | \(0.214325\pi\) | ||||
−0.781754 | + | 0.623587i | \(0.785675\pi\) | |||||||
\(62\) | − | 70.7353i | − | 1.14089i | ||||||
\(63\) | 9.28230 | 0.147338 | ||||||||
\(64\) | −8.00000 | −0.125000 | ||||||||
\(65\) | 97.3961 | + | 77.3359i | 1.49840 | + | 1.18978i | ||||
\(66\) | 39.0555i | 0.591750i | ||||||||
\(67\) | −76.7774 | −1.14593 | −0.572966 | − | 0.819579i | \(-0.694207\pi\) | ||||
−0.572966 | + | 0.819579i | \(0.694207\pi\) | |||||||
\(68\) | 25.3960 | 0.373470 | ||||||||
\(69\) | −1.57031 | − | 39.8062i | −0.0227582 | − | 0.576902i | ||||
\(70\) | −17.1341 | − | 13.6050i | −0.244772 | − | 0.194358i | ||||
\(71\) | 22.9757 | 0.323602 | 0.161801 | − | 0.986823i | \(-0.448270\pi\) | ||||
0.161801 | + | 0.986823i | \(0.448270\pi\) | |||||||
\(72\) | 8.48528i | 0.117851i | ||||||||
\(73\) | − | 51.8874i | − | 0.710786i | −0.934717 | − | 0.355393i | \(-0.884347\pi\) | ||
0.934717 | − | 0.355393i | \(-0.115653\pi\) | |||||||
\(74\) | − | 55.3356i | − | 0.747779i | ||||||
\(75\) | 42.1747 | − | 9.81312i | 0.562329 | − | 0.130842i | ||||
\(76\) | − | 20.9748i | − | 0.275984i | ||||||
\(77\) | 49.3334i | 0.640694i | ||||||||
\(78\) | − | 60.9265i | − | 0.781110i | ||||||
\(79\) | 25.5241i | 0.323090i | 0.986865 | + | 0.161545i | \(0.0516478\pi\) | ||||
−0.986865 | + | 0.161545i | \(0.948352\pi\) | |||||||
\(80\) | 12.4368 | − | 15.6628i | 0.155461 | − | 0.195786i | ||||
\(81\) | 9.00000 | 0.111111 | ||||||||
\(82\) | 58.4877i | 0.713265i | ||||||||
\(83\) | −21.6791 | −0.261194 | −0.130597 | − | 0.991436i | \(-0.541689\pi\) | ||||
−0.130597 | + | 0.991436i | \(0.541689\pi\) | |||||||
\(84\) | 10.7183i | 0.127599i | ||||||||
\(85\) | −39.4807 | + | 49.7217i | −0.464479 | + | 0.584961i | ||||
\(86\) | 101.308i | 1.17800i | ||||||||
\(87\) | − | 77.5628i | − | 0.891526i | ||||||
\(88\) | −45.0974 | −0.512471 | ||||||||
\(89\) | − | 165.958i | − | 1.86469i | −0.361566 | − | 0.932346i | \(-0.617758\pi\) | ||
0.361566 | − | 0.932346i | \(-0.382242\pi\) | |||||||
\(90\) | −16.6130 | − | 13.1913i | −0.184588 | − | 0.146570i | ||||
\(91\) | − | 76.9601i | − | 0.845715i | ||||||
\(92\) | 45.9642 | − | 1.81324i | 0.499611 | − | 0.0197092i | ||||
\(93\) | − | 86.6327i | − | 0.931534i | ||||||
\(94\) | 24.4779 | 0.260403 | ||||||||
\(95\) | 41.0657 | + | 32.6076i | 0.432270 | + | 0.343237i | ||||
\(96\) | −9.79796 | −0.102062 | ||||||||
\(97\) | −0.580105 | −0.00598047 | −0.00299023 | − | 0.999996i | \(-0.500952\pi\) | ||||
−0.00299023 | + | 0.999996i | \(0.500952\pi\) | |||||||
\(98\) | − | 55.7575i | − | 0.568955i | ||||||
\(99\) | 47.8330i | 0.483162i | ||||||||
\(100\) | 11.3312 | + | 48.6991i | 0.113312 | + | 0.486991i | ||||
\(101\) | −164.285 | −1.62658 | −0.813290 | − | 0.581859i | \(-0.802326\pi\) | ||||
−0.813290 | + | 0.581859i | \(0.802326\pi\) | |||||||
\(102\) | 31.1036 | 0.304937 | ||||||||
\(103\) | 160.952 | 1.56264 | 0.781322 | − | 0.624128i | \(-0.214546\pi\) | ||||
0.781322 | + | 0.624128i | \(0.214546\pi\) | |||||||
\(104\) | 70.3519 | 0.676461 | ||||||||
\(105\) | −20.9849 | − | 16.6627i | −0.199856 | − | 0.158692i | ||||
\(106\) | − | 56.0288i | − | 0.528574i | ||||||
\(107\) | 53.6355 | 0.501266 | 0.250633 | − | 0.968082i | \(-0.419361\pi\) | ||||
0.250633 | + | 0.968082i | \(0.419361\pi\) | |||||||
\(108\) | 10.3923i | 0.0962250i | ||||||||
\(109\) | − | 77.5961i | − | 0.711890i | −0.934507 | − | 0.355945i | \(-0.884159\pi\) | ||
0.934507 | − | 0.355945i | \(-0.115841\pi\) | |||||||
\(110\) | 70.1087 | − | 88.2943i | 0.637352 | − | 0.802675i | ||||
\(111\) | − | 67.7720i | − | 0.610559i | ||||||
\(112\) | −12.3764 | −0.110504 | ||||||||
\(113\) | −61.1674 | −0.541305 | −0.270652 | − | 0.962677i | \(-0.587239\pi\) | ||||
−0.270652 | + | 0.962677i | \(0.587239\pi\) | |||||||
\(114\) | − | 25.6888i | − | 0.225340i | ||||||
\(115\) | −67.9062 | + | 92.8103i | −0.590489 | + | 0.807046i | ||||
\(116\) | 89.5618 | 0.772084 | ||||||||
\(117\) | − | 74.6195i | − | 0.637773i | ||||||
\(118\) | 33.9563i | 0.287765i | ||||||||
\(119\) | 39.2889 | 0.330159 | ||||||||
\(120\) | 15.2320 | − | 19.1830i | 0.126933 | − | 0.159858i | ||||
\(121\) | −133.222 | −1.10101 | ||||||||
\(122\) | −107.590 | −0.881886 | ||||||||
\(123\) | 71.6326i | 0.582379i | ||||||||
\(124\) | 100.035 | 0.806732 | ||||||||
\(125\) | −112.961 | − | 53.5230i | −0.903691 | − | 0.428184i | ||||
\(126\) | 13.1272i | 0.104184i | ||||||||
\(127\) | − | 17.0523i | − | 0.134270i | −0.997744 | − | 0.0671350i | \(-0.978614\pi\) | ||
0.997744 | − | 0.0671350i | \(-0.0213858\pi\) | |||||||
\(128\) | − | 11.3137i | − | 0.0883883i | ||||||
\(129\) | 124.077i | 0.961835i | ||||||||
\(130\) | −109.369 | + | 137.739i | −0.841304 | + | 1.05953i | ||||
\(131\) | 210.657 | 1.60807 | 0.804034 | − | 0.594583i | \(-0.202683\pi\) | ||||
0.804034 | + | 0.594583i | \(0.202683\pi\) | |||||||
\(132\) | −55.2328 | −0.418431 | ||||||||
\(133\) | − | 32.4491i | − | 0.243978i | ||||||
\(134\) | − | 108.580i | − | 0.810296i | ||||||
\(135\) | −20.3466 | − | 16.1559i | −0.150716 | − | 0.119674i | ||||
\(136\) | 35.9153i | 0.264083i | ||||||||
\(137\) | 0.388976 | 0.00283924 | 0.00141962 | − | 0.999999i | \(-0.499548\pi\) | ||||
0.00141962 | + | 0.999999i | \(0.499548\pi\) | |||||||
\(138\) | 56.2945 | − | 2.22076i | 0.407931 | − | 0.0160925i | ||||
\(139\) | 113.401 | 0.815837 | 0.407918 | − | 0.913018i | \(-0.366255\pi\) | ||||
0.407918 | + | 0.913018i | \(0.366255\pi\) | |||||||
\(140\) | 19.2404 | − | 24.2312i | 0.137432 | − | 0.173080i | ||||
\(141\) | 29.9792 | 0.212618 | ||||||||
\(142\) | 32.4926i | 0.228821i | ||||||||
\(143\) | 396.586 | 2.77333 | ||||||||
\(144\) | −12.0000 | −0.0833333 | ||||||||
\(145\) | −139.233 | + | 175.349i | −0.960230 | + | 1.20930i | ||||
\(146\) | 73.3799 | 0.502602 | ||||||||
\(147\) | − | 68.2888i | − | 0.464549i | ||||||
\(148\) | 78.2564 | 0.528759 | ||||||||
\(149\) | 92.8418i | 0.623099i | 0.950230 | + | 0.311550i | \(0.100848\pi\) | ||||
−0.950230 | + | 0.311550i | \(0.899152\pi\) | |||||||
\(150\) | 13.8778 | + | 59.6440i | 0.0925190 | + | 0.397627i | ||||
\(151\) | −184.936 | −1.22474 | −0.612372 | − | 0.790570i | \(-0.709784\pi\) | ||||
−0.612372 | + | 0.790570i | \(0.709784\pi\) | |||||||
\(152\) | 29.6629 | 0.195150 | ||||||||
\(153\) | 38.0940 | 0.248980 | ||||||||
\(154\) | −69.7680 | −0.453039 | ||||||||
\(155\) | −155.515 | + | 195.854i | −1.00332 | + | 1.26357i | ||||
\(156\) | 86.1631 | 0.552328 | ||||||||
\(157\) | −176.605 | −1.12488 | −0.562438 | − | 0.826840i | \(-0.690136\pi\) | ||||
−0.562438 | + | 0.826840i | \(0.690136\pi\) | |||||||
\(158\) | −36.0966 | −0.228459 | ||||||||
\(159\) | − | 68.6210i | − | 0.431579i | ||||||
\(160\) | 22.1506 | + | 17.5884i | 0.138441 | + | 0.109927i | ||||
\(161\) | 71.1090 | − | 2.80518i | 0.441671 | − | 0.0174235i | ||||
\(162\) | 12.7279i | 0.0785674i | ||||||||
\(163\) | 282.949i | 1.73589i | 0.496664 | + | 0.867943i | \(0.334558\pi\) | ||||
−0.496664 | + | 0.867943i | \(0.665442\pi\) | |||||||
\(164\) | −82.7142 | −0.504355 | ||||||||
\(165\) | 85.8653 | − | 108.138i | 0.520396 | − | 0.655382i | ||||
\(166\) | − | 30.6588i | − | 0.184692i | ||||||
\(167\) | 181.294i | 1.08559i | 0.839864 | + | 0.542797i | \(0.182635\pi\) | ||||
−0.839864 | + | 0.542797i | \(0.817365\pi\) | |||||||
\(168\) | −15.1579 | −0.0902258 | ||||||||
\(169\) | −449.674 | −2.66079 | ||||||||
\(170\) | −70.3171 | − | 55.8342i | −0.413630 | − | 0.328436i | ||||
\(171\) | − | 31.4622i | − | 0.183990i | ||||||
\(172\) | −143.271 | −0.832973 | ||||||||
\(173\) | − | 111.291i | − | 0.643300i | −0.946859 | − | 0.321650i | \(-0.895763\pi\) | ||
0.946859 | − | 0.321650i | \(-0.104237\pi\) | |||||||
\(174\) | 109.690 | 0.630404 | ||||||||
\(175\) | 17.5300 | + | 75.3400i | 0.100171 | + | 0.430514i | ||||
\(176\) | − | 63.7774i | − | 0.362372i | ||||||
\(177\) | 41.5878i | 0.234959i | ||||||||
\(178\) | 234.700 | 1.31854 | ||||||||
\(179\) | 81.4644 | 0.455108 | 0.227554 | − | 0.973765i | \(-0.426927\pi\) | ||||
0.227554 | + | 0.973765i | \(0.426927\pi\) | |||||||
\(180\) | 18.6553 | − | 23.4943i | 0.103640 | − | 0.130524i | ||||
\(181\) | − | 126.722i | − | 0.700121i | −0.936727 | − | 0.350061i | \(-0.886161\pi\) | ||
0.936727 | − | 0.350061i | \(-0.113839\pi\) | |||||||
\(182\) | 108.838 | 0.598011 | ||||||||
\(183\) | −131.770 | −0.720057 | ||||||||
\(184\) | 2.56431 | + | 65.0033i | 0.0139365 | + | 0.353279i | ||||
\(185\) | −121.658 | + | 153.215i | −0.657610 | + | 0.828188i | ||||
\(186\) | 122.517 | 0.658694 | ||||||||
\(187\) | 202.461i | 1.08268i | ||||||||
\(188\) | 34.6170i | 0.184133i | ||||||||
\(189\) | 16.0774i | 0.0850657i | ||||||||
\(190\) | −46.1141 | + | 58.0756i | −0.242706 | + | 0.305661i | ||||
\(191\) | 111.905i | 0.585888i | 0.956130 | + | 0.292944i | \(0.0946350\pi\) | ||||
−0.956130 | + | 0.292944i | \(0.905365\pi\) | |||||||
\(192\) | − | 13.8564i | − | 0.0721688i | ||||||
\(193\) | 162.315i | 0.841011i | 0.907290 | + | 0.420506i | \(0.138147\pi\) | ||||
−0.907290 | + | 0.420506i | \(0.861853\pi\) | |||||||
\(194\) | − | 0.820393i | − | 0.00422883i | ||||||
\(195\) | −133.950 | + | 168.695i | −0.686922 | + | 0.865103i | ||||
\(196\) | 78.8531 | 0.402312 | ||||||||
\(197\) | 351.020i | 1.78183i | 0.454174 | + | 0.890913i | \(0.349934\pi\) | ||||
−0.454174 | + | 0.890913i | \(0.650066\pi\) | |||||||
\(198\) | −67.6461 | −0.341647 | ||||||||
\(199\) | − | 17.0849i | − | 0.0858540i | −0.999078 | − | 0.0429270i | \(-0.986332\pi\) | ||
0.999078 | − | 0.0429270i | \(-0.0136683\pi\) | |||||||
\(200\) | −68.8709 | + | 16.0248i | −0.344355 | + | 0.0801238i | ||||
\(201\) | − | 132.982i | − | 0.661604i | ||||||
\(202\) | − | 232.333i | − | 1.15017i | ||||||
\(203\) | 138.557 | 0.682545 | ||||||||
\(204\) | 43.9871i | 0.215623i | ||||||||
\(205\) | 128.588 | − | 161.942i | 0.627258 | − | 0.789963i | ||||
\(206\) | 227.621i | 1.10496i | ||||||||
\(207\) | 68.9464 | − | 2.71986i | 0.333074 | − | 0.0131394i | ||||
\(208\) | 99.4926i | 0.478330i | ||||||||
\(209\) | 167.215 | 0.800071 | ||||||||
\(210\) | 23.5646 | − | 29.6771i | 0.112212 | − | 0.141319i | ||||
\(211\) | −167.474 | −0.793717 | −0.396858 | − | 0.917880i | \(-0.629900\pi\) | ||||
−0.396858 | + | 0.917880i | \(0.629900\pi\) | |||||||
\(212\) | 79.2368 | 0.373758 | ||||||||
\(213\) | 39.7951i | 0.186832i | ||||||||
\(214\) | 75.8520i | 0.354449i | ||||||||
\(215\) | 222.731 | − | 280.505i | 1.03596 | − | 1.30467i | ||||
\(216\) | −14.6969 | −0.0680414 | ||||||||
\(217\) | 154.759 | 0.713175 | ||||||||
\(218\) | 109.737 | 0.503383 | ||||||||
\(219\) | 89.8716 | 0.410373 | ||||||||
\(220\) | 124.867 | + | 99.1487i | 0.567577 | + | 0.450676i | ||||
\(221\) | − | 315.839i | − | 1.42914i | ||||||
\(222\) | 95.8441 | 0.431730 | ||||||||
\(223\) | − | 53.1179i | − | 0.238197i | −0.992882 | − | 0.119098i | \(-0.962000\pi\) | ||
0.992882 | − | 0.119098i | \(-0.0380004\pi\) | |||||||
\(224\) | − | 17.5029i | − | 0.0781379i | ||||||
\(225\) | 16.9968 | + | 73.0487i | 0.0755414 | + | 0.324661i | ||||
\(226\) | − | 86.5038i | − | 0.382760i | ||||||
\(227\) | −371.776 | −1.63778 | −0.818889 | − | 0.573951i | \(-0.805410\pi\) | ||||
−0.818889 | + | 0.573951i | \(0.805410\pi\) | |||||||
\(228\) | 36.3294 | 0.159340 | ||||||||
\(229\) | − | 297.261i | − | 1.29808i | −0.760752 | − | 0.649042i | \(-0.775170\pi\) | ||
0.760752 | − | 0.649042i | \(-0.224830\pi\) | |||||||
\(230\) | −131.254 | − | 96.0339i | −0.570668 | − | 0.417539i | ||||
\(231\) | −85.4480 | −0.369905 | ||||||||
\(232\) | 126.660i | 0.545946i | ||||||||
\(233\) | 180.942i | 0.776575i | 0.921538 | + | 0.388287i | \(0.126933\pi\) | ||||
−0.921538 | + | 0.388287i | \(0.873067\pi\) | |||||||
\(234\) | 105.528 | 0.450974 | ||||||||
\(235\) | −67.7751 | − | 53.8158i | −0.288405 | − | 0.229003i | ||||
\(236\) | −48.0214 | −0.203481 | ||||||||
\(237\) | −44.2091 | −0.186536 | ||||||||
\(238\) | 55.5628i | 0.233457i | ||||||||
\(239\) | 339.522 | 1.42059 | 0.710296 | − | 0.703903i | \(-0.248561\pi\) | ||||
0.710296 | + | 0.703903i | \(0.248561\pi\) | |||||||
\(240\) | 27.1289 | + | 21.5412i | 0.113037 | + | 0.0897552i | ||||
\(241\) | 33.1123i | 0.137395i | 0.997638 | + | 0.0686977i | \(0.0218844\pi\) | ||||
−0.997638 | + | 0.0686977i | \(0.978116\pi\) | |||||||
\(242\) | − | 188.405i | − | 0.778532i | ||||||
\(243\) | 15.5885i | 0.0641500i | ||||||||
\(244\) | − | 152.155i | − | 0.623587i | ||||||
\(245\) | −122.585 | + | 154.383i | −0.500349 | + | 0.630135i | ||||
\(246\) | −101.304 | −0.411804 | ||||||||
\(247\) | −260.855 | −1.05609 | ||||||||
\(248\) | 141.471i | 0.570446i | ||||||||
\(249\) | − | 37.5492i | − | 0.150800i | ||||||
\(250\) | 75.6930 | − | 159.752i | 0.302772 | − | 0.639006i | ||||
\(251\) | 21.2171i | 0.0845304i | 0.999106 | + | 0.0422652i | \(0.0134574\pi\) | ||||
−0.999106 | + | 0.0422652i | \(0.986543\pi\) | |||||||
\(252\) | −18.5646 | −0.0736691 | ||||||||
\(253\) | 14.4555 | + | 366.435i | 0.0571363 | + | 1.44836i | ||||
\(254\) | 24.1156 | 0.0949432 | ||||||||
\(255\) | −86.1205 | − | 68.3826i | −0.337727 | − | 0.268167i | ||||
\(256\) | 16.0000 | 0.0625000 | ||||||||
\(257\) | − | 368.667i | − | 1.43450i | −0.696815 | − | 0.717251i | \(-0.745400\pi\) | ||
0.696815 | − | 0.717251i | \(-0.254600\pi\) | |||||||
\(258\) | −175.471 | −0.680120 | ||||||||
\(259\) | 121.067 | 0.467439 | ||||||||
\(260\) | −194.792 | − | 154.672i | −0.749201 | − | 0.594892i | ||||
\(261\) | 134.343 | 0.514723 | ||||||||
\(262\) | 297.914i | 1.13708i | ||||||||
\(263\) | 182.829 | 0.695169 | 0.347584 | − | 0.937649i | \(-0.387002\pi\) | ||||
0.347584 | + | 0.937649i | \(0.387002\pi\) | |||||||
\(264\) | − | 78.1110i | − | 0.295875i | ||||||
\(265\) | −123.182 | + | 155.134i | −0.464837 | + | 0.585412i | ||||
\(266\) | 45.8900 | 0.172519 | ||||||||
\(267\) | 287.447 | 1.07658 | ||||||||
\(268\) | 153.555 | 0.572966 | ||||||||
\(269\) | −231.329 | −0.859958 | −0.429979 | − | 0.902839i | \(-0.641479\pi\) | ||||
−0.429979 | + | 0.902839i | \(0.641479\pi\) | |||||||
\(270\) | 22.8479 | − | 28.7745i | 0.0846220 | − | 0.106572i | ||||
\(271\) | 241.547 | 0.891318 | 0.445659 | − | 0.895203i | \(-0.352969\pi\) | ||||
0.445659 | + | 0.895203i | \(0.352969\pi\) | |||||||
\(272\) | −50.7919 | −0.186735 | ||||||||
\(273\) | 133.299 | 0.488274 | ||||||||
\(274\) | 0.550095i | 0.00200765i | ||||||||
\(275\) | −388.238 | + | 90.3344i | −1.41177 | + | 0.328489i | ||||
\(276\) | 3.14063 | + | 79.6124i | 0.0113791 | + | 0.288451i | ||||
\(277\) | 217.095i | 0.783737i | 0.920021 | + | 0.391869i | \(0.128171\pi\) | ||||
−0.920021 | + | 0.391869i | \(0.871829\pi\) | |||||||
\(278\) | 160.374i | 0.576884i | ||||||||
\(279\) | 150.052 | 0.537821 | ||||||||
\(280\) | 34.2681 | + | 27.2101i | 0.122386 | + | 0.0971789i | ||||
\(281\) | 262.796i | 0.935218i | 0.883935 | + | 0.467609i | \(0.154885\pi\) | ||||
−0.883935 | + | 0.467609i | \(0.845115\pi\) | |||||||
\(282\) | 42.3970i | 0.150344i | ||||||||
\(283\) | −71.0126 | −0.250928 | −0.125464 | − | 0.992098i | \(-0.540042\pi\) | ||||
−0.125464 | + | 0.992098i | \(0.540042\pi\) | |||||||
\(284\) | −45.9514 | −0.161801 | ||||||||
\(285\) | −56.4780 | + | 71.1278i | −0.198168 | + | 0.249571i | ||||
\(286\) | 560.858i | 1.96104i | ||||||||
\(287\) | −127.963 | −0.445864 | ||||||||
\(288\) | − | 16.9706i | − | 0.0589256i | ||||||
\(289\) | −127.761 | −0.442080 | ||||||||
\(290\) | −247.981 | − | 196.906i | −0.855107 | − | 0.678985i | ||||
\(291\) | − | 1.00477i | − | 0.00345282i | ||||||
\(292\) | 103.775i | 0.355393i | ||||||||
\(293\) | 491.470 | 1.67737 | 0.838687 | − | 0.544614i | \(-0.183324\pi\) | ||||
0.838687 | + | 0.544614i | \(0.183324\pi\) | |||||||
\(294\) | 96.5749 | 0.328486 | ||||||||
\(295\) | 74.6544 | − | 94.0190i | 0.253066 | − | 0.318708i | ||||
\(296\) | 110.671i | 0.373889i | ||||||||
\(297\) | −82.8493 | −0.278954 | ||||||||
\(298\) | −131.298 | −0.440598 | ||||||||
\(299\) | −22.5505 | − | 571.638i | −0.0754198 | − | 1.91183i | ||||
\(300\) | −84.3493 | + | 19.6262i | −0.281164 | + | 0.0654208i | ||||
\(301\) | −221.648 | −0.736372 | ||||||||
\(302\) | − | 261.539i | − | 0.866025i | ||||||
\(303\) | − | 284.549i | − | 0.939106i | ||||||
\(304\) | 41.9496i | 0.137992i | ||||||||
\(305\) | 297.898 | + | 236.542i | 0.976715 | + | 0.775546i | ||||
\(306\) | 53.8730i | 0.176056i | ||||||||
\(307\) | − | 357.082i | − | 1.16313i | −0.813498 | − | 0.581567i | \(-0.802440\pi\) | ||
0.813498 | − | 0.581567i | \(-0.197560\pi\) | |||||||
\(308\) | − | 98.6669i | − | 0.320347i | ||||||
\(309\) | 278.778i | 0.902193i | ||||||||
\(310\) | −276.979 | − | 219.931i | −0.893481 | − | 0.709455i | ||||
\(311\) | 137.819 | 0.443149 | 0.221575 | − | 0.975143i | \(-0.428880\pi\) | ||||
0.221575 | + | 0.975143i | \(0.428880\pi\) | |||||||
\(312\) | 121.853i | 0.390555i | ||||||||
\(313\) | 476.224 | 1.52148 | 0.760740 | − | 0.649056i | \(-0.224836\pi\) | ||||
0.760740 | + | 0.649056i | \(0.224836\pi\) | |||||||
\(314\) | − | 249.758i | − | 0.795407i | ||||||
\(315\) | 28.8606 | − | 36.3468i | 0.0916211 | − | 0.115387i | ||||
\(316\) | − | 51.0483i | − | 0.161545i | ||||||
\(317\) | 290.212i | 0.915495i | 0.889082 | + | 0.457748i | \(0.151344\pi\) | ||||
−0.889082 | + | 0.457748i | \(0.848656\pi\) | |||||||
\(318\) | 97.0448 | 0.305172 | ||||||||
\(319\) | 714.002i | 2.23825i | ||||||||
\(320\) | −24.8737 | + | 31.3257i | −0.0777303 | + | 0.0978928i | ||||
\(321\) | 92.8994i | 0.289406i | ||||||||
\(322\) | 3.96712 | + | 100.563i | 0.0123202 | + | 0.312309i | ||||
\(323\) | − | 133.169i | − | 0.412288i | ||||||
\(324\) | −18.0000 | −0.0555556 | ||||||||
\(325\) | 605.650 | − | 140.922i | 1.86354 | − | 0.433605i | ||||
\(326\) | −400.151 | −1.22746 | ||||||||
\(327\) | 134.400 | 0.411010 | ||||||||
\(328\) | − | 116.975i | − | 0.356633i | ||||||
\(329\) | 53.5542i | 0.162779i | ||||||||
\(330\) | 152.930 | + | 121.432i | 0.463425 | + | 0.367975i | ||||
\(331\) | 124.642 | 0.376561 | 0.188280 | − | 0.982115i | \(-0.439709\pi\) | ||||
0.188280 | + | 0.982115i | \(0.439709\pi\) | |||||||
\(332\) | 43.3581 | 0.130597 | ||||||||
\(333\) | 117.385 | 0.352506 | ||||||||
\(334\) | −256.389 | −0.767631 | ||||||||
\(335\) | −238.717 | + | 300.638i | −0.712589 | + | 0.897428i | ||||
\(336\) | − | 21.4366i | − | 0.0637993i | ||||||
\(337\) | 281.809 | 0.836228 | 0.418114 | − | 0.908395i | \(-0.362691\pi\) | ||||
0.418114 | + | 0.908395i | \(0.362691\pi\) | |||||||
\(338\) | − | 635.935i | − | 1.88146i | ||||||
\(339\) | − | 105.945i | − | 0.312522i | ||||||
\(340\) | 78.9615 | − | 99.4433i | 0.232240 | − | 0.292480i | ||||
\(341\) | 797.495i | 2.33869i | ||||||||
\(342\) | 44.4943 | 0.130100 | ||||||||
\(343\) | 273.601 | 0.797670 | ||||||||
\(344\) | − | 202.616i | − | 0.589001i | ||||||
\(345\) | −160.752 | − | 117.617i | −0.465948 | − | 0.340919i | ||||
\(346\) | 157.389 | 0.454882 | ||||||||
\(347\) | 31.0131i | 0.0893749i | 0.999001 | + | 0.0446874i | \(0.0142292\pi\) | ||||
−0.999001 | + | 0.0446874i | \(0.985771\pi\) | |||||||
\(348\) | 155.126i | 0.445763i | ||||||||
\(349\) | 226.092 | 0.647828 | 0.323914 | − | 0.946087i | \(-0.395001\pi\) | ||||
0.323914 | + | 0.946087i | \(0.395001\pi\) | |||||||
\(350\) | −106.547 | + | 24.7911i | −0.304420 | + | 0.0708318i | ||||
\(351\) | 129.245 | 0.368219 | ||||||||
\(352\) | 90.1949 | 0.256235 | ||||||||
\(353\) | 230.573i | 0.653180i | 0.945166 | + | 0.326590i | \(0.105900\pi\) | ||||
−0.945166 | + | 0.326590i | \(0.894100\pi\) | |||||||
\(354\) | −58.8140 | −0.166141 | ||||||||
\(355\) | 71.4364 | − | 89.9663i | 0.201229 | − | 0.253426i | ||||
\(356\) | 331.915i | 0.932346i | ||||||||
\(357\) | 68.0503i | 0.190617i | ||||||||
\(358\) | 115.208i | 0.321810i | ||||||||
\(359\) | − | 569.575i | − | 1.58656i | −0.608858 | − | 0.793279i | \(-0.708372\pi\) | ||
0.608858 | − | 0.793279i | \(-0.291628\pi\) | |||||||
\(360\) | 33.2259 | + | 26.3825i | 0.0922942 | + | 0.0732848i | ||||
\(361\) | 251.014 | 0.695331 | ||||||||
\(362\) | 179.212 | 0.495061 | ||||||||
\(363\) | − | 230.748i | − | 0.635669i | ||||||
\(364\) | 153.920i | 0.422858i | ||||||||
\(365\) | −203.176 | − | 161.329i | −0.556647 | − | 0.441997i | ||||
\(366\) | − | 186.351i | − | 0.509157i | ||||||
\(367\) | −707.351 | −1.92739 | −0.963693 | − | 0.267012i | \(-0.913964\pi\) | ||||
−0.963693 | + | 0.267012i | \(0.913964\pi\) | |||||||
\(368\) | −91.9285 | + | 3.62648i | −0.249806 | + | 0.00985458i | ||||
\(369\) | −124.071 | −0.336236 | ||||||||
\(370\) | −216.678 | − | 172.050i | −0.585617 | − | 0.465000i | ||||
\(371\) | 122.583 | 0.330413 | ||||||||
\(372\) | 173.265i | 0.465767i | ||||||||
\(373\) | −476.230 | −1.27676 | −0.638378 | − | 0.769723i | \(-0.720394\pi\) | ||||
−0.638378 | + | 0.769723i | \(0.720394\pi\) | |||||||
\(374\) | −286.323 | −0.765570 | ||||||||
\(375\) | 92.7046 | − | 195.655i | 0.247212 | − | 0.521747i | ||||
\(376\) | −48.9558 | −0.130202 | ||||||||
\(377\) | − | 1113.84i | − | 2.95449i | ||||||
\(378\) | −22.7369 | −0.0601506 | ||||||||
\(379\) | 218.771i | 0.577232i | 0.957445 | + | 0.288616i | \(0.0931950\pi\) | ||||
−0.957445 | + | 0.288616i | \(0.906805\pi\) | |||||||
\(380\) | −82.1313 | − | 65.2151i | −0.216135 | − | 0.171619i | ||||
\(381\) | 29.5354 | 0.0775208 | ||||||||
\(382\) | −158.257 | −0.414286 | ||||||||
\(383\) | 25.9382 | 0.0677238 | 0.0338619 | − | 0.999427i | \(-0.489219\pi\) | ||||
0.0338619 | + | 0.999427i | \(0.489219\pi\) | |||||||
\(384\) | 19.5959 | 0.0510310 | ||||||||
\(385\) | 193.176 | + | 153.388i | 0.501755 | + | 0.398411i | ||||
\(386\) | −229.548 | −0.594685 | ||||||||
\(387\) | −214.907 | −0.555315 | ||||||||
\(388\) | 1.16021 | 0.00299023 | ||||||||
\(389\) | − | 117.093i | − | 0.301011i | −0.988609 | − | 0.150505i | \(-0.951910\pi\) | ||
0.988609 | − | 0.150505i | \(-0.0480901\pi\) | |||||||
\(390\) | −238.571 | − | 189.434i | −0.611720 | − | 0.485727i | ||||
\(391\) | 291.827 | − | 11.5123i | 0.746360 | − | 0.0294431i | ||||
\(392\) | 111.515i | 0.284477i | ||||||||
\(393\) | 364.869i | 0.928419i | ||||||||
\(394\) | −496.417 | −1.25994 | ||||||||
\(395\) | 99.9452 | + | 79.3600i | 0.253026 | + | 0.200911i | ||||
\(396\) | − | 95.6661i | − | 0.241581i | ||||||
\(397\) | 184.113i | 0.463760i | 0.972744 | + | 0.231880i | \(0.0744876\pi\) | ||||
−0.972744 | + | 0.231880i | \(0.925512\pi\) | |||||||
\(398\) | 24.1618 | 0.0607079 | ||||||||
\(399\) | 56.2035 | 0.140861 | ||||||||
\(400\) | −22.6624 | − | 97.3982i | −0.0566561 | − | 0.243496i | ||||
\(401\) | − | 483.910i | − | 1.20676i | −0.797454 | − | 0.603379i | \(-0.793821\pi\) | ||
0.797454 | − | 0.603379i | \(-0.206179\pi\) | |||||||
\(402\) | 188.066 | 0.467825 | ||||||||
\(403\) | − | 1244.09i | − | 3.08707i | ||||||
\(404\) | 328.569 | 0.813290 | ||||||||
\(405\) | 27.9829 | − | 35.2414i | 0.0690936 | − | 0.0870158i | ||||
\(406\) | 195.949i | 0.482632i | ||||||||
\(407\) | 623.873i | 1.53286i | ||||||||
\(408\) | −62.2072 | −0.152469 | ||||||||
\(409\) | −587.697 | −1.43691 | −0.718457 | − | 0.695572i | \(-0.755151\pi\) | ||||
−0.718457 | + | 0.695572i | \(0.755151\pi\) | |||||||
\(410\) | 229.021 | + | 181.851i | 0.558588 | + | 0.443538i | ||||
\(411\) | 0.673726i | 0.00163924i | ||||||||
\(412\) | −321.905 | −0.781322 | ||||||||
\(413\) | −74.2915 | −0.179883 | ||||||||
\(414\) | 3.84647 | + | 97.5049i | 0.00929098 | + | 0.235519i | ||||
\(415\) | −67.4048 | + | 84.8890i | −0.162421 | + | 0.204552i | ||||
\(416\) | −140.704 | −0.338230 | ||||||||
\(417\) | 196.417i | 0.471024i | ||||||||
\(418\) | 236.477i | 0.565736i | ||||||||
\(419\) | 249.476i | 0.595408i | 0.954658 | + | 0.297704i | \(0.0962208\pi\) | ||||
−0.954658 | + | 0.297704i | \(0.903779\pi\) | |||||||
\(420\) | 41.9697 | + | 33.3254i | 0.0999279 | + | 0.0793462i | ||||
\(421\) | − | 297.570i | − | 0.706816i | −0.935469 | − | 0.353408i | \(-0.885023\pi\) | ||
0.935469 | − | 0.353408i | \(-0.114977\pi\) | |||||||
\(422\) | − | 236.844i | − | 0.561243i | ||||||
\(423\) | 51.9255i | 0.122755i | ||||||||
\(424\) | 112.058i | 0.264287i | ||||||||
\(425\) | 71.9418 | + | 309.190i | 0.169275 | + | 0.727507i | ||||
\(426\) | −56.2788 | −0.132110 | ||||||||
\(427\) | − | 235.392i | − | 0.551269i | ||||||
\(428\) | −107.271 | −0.250633 | ||||||||
\(429\) | 686.908i | 1.60118i | ||||||||
\(430\) | 396.694 | + | 314.989i | 0.922543 | + | 0.732531i | ||||
\(431\) | − | 83.3118i | − | 0.193299i | −0.995318 | − | 0.0966495i | \(-0.969187\pi\) | ||
0.995318 | − | 0.0966495i | \(-0.0308126\pi\) | |||||||
\(432\) | − | 20.7846i | − | 0.0481125i | ||||||
\(433\) | 574.608 | 1.32704 | 0.663520 | − | 0.748159i | \(-0.269062\pi\) | ||||
0.663520 | + | 0.748159i | \(0.269062\pi\) | |||||||
\(434\) | 218.862i | 0.504291i | ||||||||
\(435\) | −303.714 | − | 241.159i | −0.698192 | − | 0.554389i | ||||
\(436\) | 155.192i | 0.355945i | ||||||||
\(437\) | −9.50810 | − | 241.023i | −0.0217577 | − | 0.551540i | ||||
\(438\) | 127.098i | 0.290177i | ||||||||
\(439\) | −196.774 | −0.448231 | −0.224116 | − | 0.974563i | \(-0.571949\pi\) | ||||
−0.224116 | + | 0.974563i | \(0.571949\pi\) | |||||||
\(440\) | −140.217 | + | 176.589i | −0.318676 | + | 0.401338i | ||||
\(441\) | 118.280 | 0.268208 | ||||||||
\(442\) | 446.664 | 1.01055 | ||||||||
\(443\) | 13.1466i | 0.0296764i | 0.999890 | + | 0.0148382i | \(0.00472332\pi\) | ||||
−0.999890 | + | 0.0148382i | \(0.995277\pi\) | |||||||
\(444\) | 135.544i | 0.305279i | ||||||||
\(445\) | −649.842 | − | 515.997i | −1.46032 | − | 1.15954i | ||||
\(446\) | 75.1201 | 0.168431 | ||||||||
\(447\) | −160.807 | −0.359747 | ||||||||
\(448\) | 24.7528 | 0.0552518 | ||||||||
\(449\) | 7.26549 | 0.0161815 | 0.00809074 | − | 0.999967i | \(-0.497425\pi\) | ||||
0.00809074 | + | 0.999967i | \(0.497425\pi\) | |||||||
\(450\) | −103.306 | + | 24.0371i | −0.229570 | + | 0.0534159i | ||||
\(451\) | − | 659.412i | − | 1.46211i | ||||||
\(452\) | 122.335 | 0.270652 | ||||||||
\(453\) | − | 320.319i | − | 0.707106i | ||||||
\(454\) | − | 525.770i | − | 1.15808i | ||||||
\(455\) | −301.354 | − | 239.285i | −0.662315 | − | 0.525901i | ||||
\(456\) | 51.3776i | 0.112670i | ||||||||
\(457\) | −635.868 | −1.39140 | −0.695698 | − | 0.718334i | \(-0.744905\pi\) | ||||
−0.695698 | + | 0.718334i | \(0.744905\pi\) | |||||||
\(458\) | 420.391 | 0.917885 | ||||||||
\(459\) | 65.9807i | 0.143749i | ||||||||
\(460\) | 135.812 | − | 185.621i | 0.295244 | − | 0.403523i | ||||
\(461\) | −638.029 | −1.38401 | −0.692006 | − | 0.721892i | \(-0.743273\pi\) | ||||
−0.692006 | + | 0.721892i | \(0.743273\pi\) | |||||||
\(462\) | − | 120.842i | − | 0.261562i | ||||||
\(463\) | − | 593.754i | − | 1.28241i | −0.767371 | − | 0.641203i | \(-0.778436\pi\) | ||
0.767371 | − | 0.641203i | \(-0.221564\pi\) | |||||||
\(464\) | −179.124 | −0.386042 | ||||||||
\(465\) | −339.229 | − | 269.359i | −0.729524 | − | 0.579267i | ||||
\(466\) | −255.891 | −0.549121 | ||||||||
\(467\) | 596.261 | 1.27679 | 0.638395 | − | 0.769709i | \(-0.279599\pi\) | ||||
0.638395 | + | 0.769709i | \(0.279599\pi\) | |||||||
\(468\) | 149.239i | 0.318887i | ||||||||
\(469\) | 237.557 | 0.506519 | ||||||||
\(470\) | 76.1070 | − | 95.8484i | 0.161930 | − | 0.203933i | ||||
\(471\) | − | 305.890i | − | 0.649447i | ||||||
\(472\) | − | 67.9125i | − | 0.143882i | ||||||
\(473\) | − | 1142.18i | − | 2.41477i | ||||||
\(474\) | − | 62.5211i | − | 0.131901i | ||||||
\(475\) | 255.364 | − | 59.4175i | 0.537608 | − | 0.125090i | ||||
\(476\) | −78.5777 | −0.165079 | ||||||||
\(477\) | 118.855 | 0.249172 | ||||||||
\(478\) | 480.156i | 1.00451i | ||||||||
\(479\) | 203.911i | 0.425702i | 0.977085 | + | 0.212851i | \(0.0682750\pi\) | ||||
−0.977085 | + | 0.212851i | \(0.931725\pi\) | |||||||
\(480\) | −30.4639 | + | 38.3660i | −0.0634665 | + | 0.0799291i | ||||
\(481\) | − | 973.242i | − | 2.02337i | ||||||
\(482\) | −46.8279 | −0.0971533 | ||||||||
\(483\) | 4.85871 | + | 123.164i | 0.0100594 | + | 0.254999i | ||||
\(484\) | 266.444 | 0.550505 | ||||||||
\(485\) | −1.80367 | + | 2.27153i | −0.00371891 | + | 0.00468356i | ||||
\(486\) | −22.0454 | −0.0453609 | ||||||||
\(487\) | − | 390.999i | − | 0.802873i | −0.915887 | − | 0.401436i | \(-0.868511\pi\) | ||
0.915887 | − | 0.401436i | \(-0.131489\pi\) | |||||||
\(488\) | 215.180 | 0.440943 | ||||||||
\(489\) | −490.083 | −1.00221 | ||||||||
\(490\) | −218.330 | − | 173.362i | −0.445572 | − | 0.353800i | ||||
\(491\) | 449.372 | 0.915217 | 0.457609 | − | 0.889154i | \(-0.348706\pi\) | ||||
0.457609 | + | 0.889154i | \(0.348706\pi\) | |||||||
\(492\) | − | 143.265i | − | 0.291189i | ||||||
\(493\) | 568.627 | 1.15340 | ||||||||
\(494\) | − | 368.905i | − | 0.746770i | ||||||
\(495\) | 187.300 | + | 148.723i | 0.378385 | + | 0.300451i | ||||
\(496\) | −200.070 | −0.403366 | ||||||||
\(497\) | −71.0892 | −0.143037 | ||||||||
\(498\) | 53.1027 | 0.106632 | ||||||||
\(499\) | 770.506 | 1.54410 | 0.772050 | − | 0.635561i | \(-0.219231\pi\) | ||||
0.772050 | + | 0.635561i | \(0.219231\pi\) | |||||||
\(500\) | 225.923 | + | 107.046i | 0.451846 | + | 0.214092i | ||||
\(501\) | −314.011 | −0.626768 | ||||||||
\(502\) | −30.0055 | −0.0597720 | ||||||||
\(503\) | −185.848 | −0.369480 | −0.184740 | − | 0.982787i | \(-0.559144\pi\) | ||||
−0.184740 | + | 0.982787i | \(0.559144\pi\) | |||||||
\(504\) | − | 26.2543i | − | 0.0520919i | ||||||
\(505\) | −510.795 | + | 643.291i | −1.01148 | + | 1.27384i | ||||
\(506\) | −518.217 | + | 20.4431i | −1.02414 | + | 0.0404015i | ||||
\(507\) | − | 778.858i | − | 1.53621i | ||||||
\(508\) | 34.1046i | 0.0671350i | ||||||||
\(509\) | −110.051 | −0.216210 | −0.108105 | − | 0.994139i | \(-0.534478\pi\) | ||||
−0.108105 | + | 0.994139i | \(0.534478\pi\) | |||||||
\(510\) | 96.7076 | − | 121.793i | 0.189623 | − | 0.238809i | ||||
\(511\) | 160.545i | 0.314178i | ||||||||
\(512\) | 22.6274i | 0.0441942i | ||||||||
\(513\) | 54.4942 | 0.106226 | ||||||||
\(514\) | 521.374 | 1.01435 | ||||||||
\(515\) | 500.435 | − | 630.243i | 0.971718 | − | 1.22377i | ||||
\(516\) | − | 248.153i | − | 0.480917i | ||||||
\(517\) | −275.973 | −0.533796 | ||||||||
\(518\) | 171.214i | 0.330529i | ||||||||
\(519\) | 192.761 | 0.371409 | ||||||||
\(520\) | 218.739 | − | 275.478i | 0.420652 | − | 0.529765i | ||||
\(521\) | − | 39.4422i | − | 0.0757049i | −0.999283 | − | 0.0378524i | \(-0.987948\pi\) | ||
0.999283 | − | 0.0378524i | \(-0.0120517\pi\) | |||||||
\(522\) | 189.989i | 0.363964i | ||||||||
\(523\) | −288.174 | −0.551003 | −0.275501 | − | 0.961301i | \(-0.588844\pi\) | ||||
−0.275501 | + | 0.961301i | \(0.588844\pi\) | |||||||
\(524\) | −421.314 | −0.804034 | ||||||||
\(525\) | −130.493 | + | 30.3628i | −0.248558 | + | 0.0578339i | ||||
\(526\) | 258.560i | 0.491558i | ||||||||
\(527\) | 635.120 | 1.20516 | ||||||||
\(528\) | 110.466 | 0.209215 | ||||||||
\(529\) | 527.356 | − | 41.6722i | 0.996892 | − | 0.0787753i | ||||
\(530\) | −219.393 | − | 174.206i | −0.413949 | − | 0.328690i | ||||
\(531\) | −72.0321 | −0.135654 | ||||||||
\(532\) | 64.8982i | 0.121989i | ||||||||
\(533\) | 1028.68i | 1.92998i | ||||||||
\(534\) | 406.512i | 0.761258i | ||||||||
\(535\) | 166.764 | − | 210.021i | 0.311709 | − | 0.392563i | ||||
\(536\) | 217.159i | 0.405148i | ||||||||
\(537\) | 141.100i | 0.262757i | ||||||||
\(538\) | − | 327.148i | − | 0.608082i | ||||||
\(539\) | 628.630i | 1.16629i | ||||||||
\(540\) | 40.6933 | + | 32.3119i | 0.0753579 | + | 0.0598368i | ||||
\(541\) | −153.598 | −0.283915 | −0.141958 | − | 0.989873i | \(-0.545340\pi\) | ||||
−0.141958 | + | 0.989873i | \(0.545340\pi\) | |||||||
\(542\) | 341.599i | 0.630257i | ||||||||
\(543\) | 219.489 | 0.404215 | ||||||||
\(544\) | − | 71.8307i | − | 0.132042i | ||||||
\(545\) | −303.844 | − | 241.263i | −0.557512 | − | 0.442684i | ||||
\(546\) | 188.513i | 0.345262i | ||||||||
\(547\) | − | 756.260i | − | 1.38256i | −0.722588 | − | 0.691279i | \(-0.757047\pi\) | ||
0.722588 | − | 0.691279i | \(-0.242953\pi\) | |||||||
\(548\) | −0.777952 | −0.00141962 | ||||||||
\(549\) | − | 228.233i | − | 0.415725i | ||||||
\(550\) | −127.752 | − | 549.051i | −0.232277 | − | 0.998275i | ||||
\(551\) | − | 469.635i | − | 0.852333i | ||||||
\(552\) | −112.589 | + | 4.44152i | −0.203965 | + | 0.00804623i | ||||
\(553\) | − | 78.9743i | − | 0.142811i | ||||||
\(554\) | −307.019 | −0.554186 | ||||||||
\(555\) | −265.376 | − | 210.718i | −0.478154 | − | 0.379671i | ||||
\(556\) | −226.803 | −0.407918 | ||||||||
\(557\) | 276.554 | 0.496506 | 0.248253 | − | 0.968695i | \(-0.420144\pi\) | ||||
0.248253 | + | 0.968695i | \(0.420144\pi\) | |||||||
\(558\) | 212.206i | 0.380297i | ||||||||
\(559\) | 1781.81i | 3.18749i | ||||||||
\(560\) | −38.4809 | + | 48.4624i | −0.0687158 | + | 0.0865401i | ||||
\(561\) | −350.673 | −0.625086 | ||||||||
\(562\) | −371.650 | −0.661299 | ||||||||
\(563\) | −535.076 | −0.950401 | −0.475201 | − | 0.879878i | \(-0.657624\pi\) | ||||
−0.475201 | + | 0.879878i | \(0.657624\pi\) | |||||||
\(564\) | −59.9584 | −0.106309 | ||||||||
\(565\) | −190.183 | + | 239.514i | −0.336606 | + | 0.423919i | ||||
\(566\) | − | 100.427i | − | 0.177433i | ||||||
\(567\) | −27.8469 | −0.0491127 | ||||||||
\(568\) | − | 64.9851i | − | 0.114410i | ||||||
\(569\) | − | 94.4406i | − | 0.165976i | −0.996551 | − | 0.0829882i | \(-0.973554\pi\) | ||
0.996551 | − | 0.0829882i | \(-0.0264464\pi\) | |||||||
\(570\) | −100.590 | − | 79.8719i | −0.176474 | − | 0.140126i | ||||
\(571\) | − | 594.892i | − | 1.04184i | −0.853605 | − | 0.520921i | \(-0.825589\pi\) | ||
0.853605 | − | 0.520921i | \(-0.174411\pi\) | |||||||
\(572\) | −793.173 | −1.38667 | ||||||||
\(573\) | −193.825 | −0.338263 | ||||||||
\(574\) | − | 180.967i | − | 0.315274i | ||||||
\(575\) | 152.284 | + | 554.468i | 0.264841 | + | 0.964292i | ||||
\(576\) | 24.0000 | 0.0416667 | ||||||||
\(577\) | 511.175i | 0.885919i | 0.896542 | + | 0.442960i | \(0.146071\pi\) | ||||
−0.896542 | + | 0.442960i | \(0.853929\pi\) | |||||||
\(578\) | − | 180.682i | − | 0.312598i | ||||||
\(579\) | −281.138 | −0.485558 | ||||||||
\(580\) | 278.467 | − | 350.698i | 0.480115 | − | 0.604652i | ||||
\(581\) | 67.0772 | 0.115451 | ||||||||
\(582\) | 1.42096 | 0.00244152 | ||||||||
\(583\) | 631.689i | 1.08351i | ||||||||
\(584\) | −146.760 | −0.251301 | ||||||||
\(585\) | −292.188 | − | 232.008i | −0.499467 | − | 0.396594i | ||||
\(586\) | 695.044i | 1.18608i | ||||||||
\(587\) | 492.563i | 0.839119i | 0.907728 | + | 0.419560i | \(0.137815\pi\) | ||||
−0.907728 | + | 0.419560i | \(0.862185\pi\) | |||||||
\(588\) | 136.578i | 0.232275i | ||||||||
\(589\) | − | 524.553i | − | 0.890582i | ||||||
\(590\) | 132.963 | + | 105.577i | 0.225361 | + | 0.178944i | ||||
\(591\) | −607.984 | −1.02874 | ||||||||
\(592\) | −156.513 | −0.264380 | ||||||||
\(593\) | 535.477i | 0.902996i | 0.892272 | + | 0.451498i | \(0.149110\pi\) | ||||
−0.892272 | + | 0.451498i | \(0.850890\pi\) | |||||||
\(594\) | − | 117.167i | − | 0.197250i | ||||||
\(595\) | 122.157 | − | 153.844i | 0.205307 | − | 0.258561i | ||||
\(596\) | − | 185.684i | − | 0.311550i | ||||||
\(597\) | 29.5920 | 0.0495678 | ||||||||
\(598\) | 808.418 | − | 31.8913i | 1.35187 | − | 0.0533299i | ||||
\(599\) | −522.025 | −0.871495 | −0.435747 | − | 0.900069i | \(-0.643516\pi\) | ||||
−0.435747 | + | 0.900069i | \(0.643516\pi\) | |||||||
\(600\) | −27.7557 | − | 119.288i | −0.0462595 | − | 0.198813i | ||||
\(601\) | 500.049 | 0.832028 | 0.416014 | − | 0.909358i | \(-0.363427\pi\) | ||||
0.416014 | + | 0.909358i | \(0.363427\pi\) | |||||||
\(602\) | − | 313.458i | − | 0.520694i | ||||||
\(603\) | 230.332 | 0.381977 | ||||||||
\(604\) | 369.873 | 0.612372 | ||||||||
\(605\) | −414.216 | + | 521.660i | −0.684655 | + | 0.862248i | ||||
\(606\) | 402.413 | 0.664048 | ||||||||
\(607\) | 232.429i | 0.382915i | 0.981501 | + | 0.191457i | \(0.0613214\pi\) | ||||
−0.981501 | + | 0.191457i | \(0.938679\pi\) | |||||||
\(608\) | −59.3257 | −0.0975752 | ||||||||
\(609\) | 239.987i | 0.394068i | ||||||||
\(610\) | −334.520 | + | 421.292i | −0.548394 | + | 0.690642i | ||||
\(611\) | 430.517 | 0.704610 | ||||||||
\(612\) | −76.1879 | −0.124490 | ||||||||
\(613\) | 654.378 | 1.06750 | 0.533751 | − | 0.845642i | \(-0.320782\pi\) | ||||
0.533751 | + | 0.845642i | \(0.320782\pi\) | |||||||
\(614\) | 504.991 | 0.822460 | ||||||||
\(615\) | 280.493 | + | 222.721i | 0.456085 | + | 0.362148i | ||||
\(616\) | 139.536 | 0.226520 | ||||||||
\(617\) | −675.896 | −1.09546 | −0.547728 | − | 0.836657i | \(-0.684507\pi\) | ||||
−0.547728 | + | 0.836657i | \(0.684507\pi\) | |||||||
\(618\) | −394.251 | −0.637947 | ||||||||
\(619\) | 1153.52i | 1.86352i | 0.363075 | + | 0.931760i | \(0.381727\pi\) | ||||
−0.363075 | + | 0.931760i | \(0.618273\pi\) | |||||||
\(620\) | 311.029 | − | 391.707i | 0.501660 | − | 0.631786i | ||||
\(621\) | 4.71094 | + | 119.419i | 0.00758606 | + | 0.192301i | ||||
\(622\) | 194.906i | 0.313354i | ||||||||
\(623\) | 513.490i | 0.824221i | ||||||||
\(624\) | −172.326 | −0.276164 | ||||||||
\(625\) | −560.802 | + | 275.910i | −0.897283 | + | 0.441456i | ||||
\(626\) | 673.482i | 1.07585i | ||||||||
\(627\) | 289.625i | 0.461921i | ||||||||
\(628\) | 353.211 | 0.562438 | ||||||||
\(629\) | 496.849 | 0.789903 | ||||||||
\(630\) | 51.4022 | + | 40.8151i | 0.0815908 | + | 0.0647859i | ||||
\(631\) | 210.863i | 0.334173i | 0.985942 | + | 0.167086i | \(0.0534359\pi\) | ||||
−0.985942 | + | 0.167086i | \(0.946564\pi\) | |||||||
\(632\) | 72.1932 | 0.114230 | ||||||||
\(633\) | − | 290.074i | − | 0.458253i | ||||||
\(634\) | −410.422 | −0.647353 | ||||||||
\(635\) | −66.7719 | − | 53.0192i | −0.105153 | − | 0.0834947i | ||||
\(636\) | 137.242i | 0.215789i | ||||||||
\(637\) | − | 980.662i | − | 1.53950i | ||||||
\(638\) | −1009.75 | −1.58268 | ||||||||
\(639\) | −68.9272 | −0.107867 | ||||||||
\(640\) | −44.3012 | − | 35.1767i | −0.0692207 | − | 0.0549636i | ||||
\(641\) | − | 358.037i | − | 0.558560i | −0.960210 | − | 0.279280i | \(-0.909904\pi\) | ||
0.960210 | − | 0.279280i | \(-0.0900958\pi\) | |||||||
\(642\) | −131.380 | −0.204641 | ||||||||
\(643\) | −1177.59 | −1.83141 | −0.915703 | − | 0.401855i | \(-0.868366\pi\) | ||||
−0.915703 | + | 0.401855i | \(0.868366\pi\) | |||||||
\(644\) | −142.218 | + | 5.61036i | −0.220835 | + | 0.00871173i | ||||
\(645\) | 485.848 | + | 385.781i | 0.753253 | + | 0.598109i | ||||
\(646\) | 188.329 | 0.291531 | ||||||||
\(647\) | − | 556.482i | − | 0.860096i | −0.902806 | − | 0.430048i | \(-0.858497\pi\) | ||
0.902806 | − | 0.430048i | \(-0.141503\pi\) | |||||||
\(648\) | − | 25.4558i | − | 0.0392837i | ||||||
\(649\) | − | 382.835i | − | 0.589884i | ||||||
\(650\) | 199.293 | + | 856.519i | 0.306605 | + | 1.31772i | ||||
\(651\) | 268.050i | 0.411752i | ||||||||
\(652\) | − | 565.899i | − | 0.867943i | ||||||
\(653\) | 1076.49i | 1.64853i | 0.566204 | + | 0.824265i | \(0.308412\pi\) | ||||
−0.566204 | + | 0.824265i | \(0.691588\pi\) | |||||||
\(654\) | 190.071i | 0.290628i | ||||||||
\(655\) | 654.977 | − | 824.872i | 0.999965 | − | 1.25935i | ||||
\(656\) | 165.428 | 0.252177 | ||||||||
\(657\) | 155.662i | 0.236929i | ||||||||
\(658\) | −75.7371 | −0.115102 | ||||||||
\(659\) | − | 1142.54i | − | 1.73375i | −0.498526 | − | 0.866875i | \(-0.666125\pi\) | ||
0.498526 | − | 0.866875i | \(-0.333875\pi\) | |||||||
\(660\) | −171.731 | + | 216.276i | −0.260198 | + | 0.327691i | ||||
\(661\) | 1194.32i | 1.80684i | 0.428754 | + | 0.903421i | \(0.358953\pi\) | ||||
−0.428754 | + | 0.903421i | \(0.641047\pi\) | |||||||
\(662\) | 176.270i | 0.266269i | ||||||||
\(663\) | 547.049 | 0.825112 | ||||||||
\(664\) | 61.3177i | 0.0923459i | ||||||||
\(665\) | −127.061 | − | 100.891i | −0.191070 | − | 0.151716i | ||||
\(666\) | 166.007i | 0.249260i | ||||||||
\(667\) | 1029.16 | − | 40.5993i | 1.54297 | − | 0.0608685i | ||||
\(668\) | − | 362.588i | − | 0.542797i | ||||||
\(669\) | 92.0029 | 0.137523 | ||||||||
\(670\) | −425.167 | − | 337.597i | −0.634577 | − | 0.503877i | ||||
\(671\) | 1213.01 | 1.80776 | ||||||||
\(672\) | 30.3159 | 0.0451129 | ||||||||
\(673\) | − | 481.936i | − | 0.716100i | −0.933702 | − | 0.358050i | \(-0.883442\pi\) | ||
0.933702 | − | 0.358050i | \(-0.116558\pi\) | |||||||
\(674\) | 398.538i | 0.591302i | ||||||||
\(675\) | −126.524 | + | 29.4394i | −0.187443 | + | 0.0436139i | ||||
\(676\) | 899.348 | 1.33040 | ||||||||
\(677\) | −180.841 | −0.267121 | −0.133560 | − | 0.991041i | \(-0.542641\pi\) | ||||
−0.133560 | + | 0.991041i | \(0.542641\pi\) | |||||||
\(678\) | 149.829 | 0.220987 | ||||||||
\(679\) | 1.79490 | 0.00264345 | ||||||||
\(680\) | 140.634 | + | 111.668i | 0.206815 | + | 0.164218i | ||||
\(681\) | − | 643.935i | − | 0.945572i | ||||||
\(682\) | −1127.83 | −1.65371 | ||||||||
\(683\) | − | 18.5491i | − | 0.0271582i | −0.999908 | − | 0.0135791i | \(-0.995678\pi\) | ||
0.999908 | − | 0.0135791i | \(-0.00432250\pi\) | |||||||
\(684\) | 62.9244i | 0.0919948i | ||||||||
\(685\) | 1.20941 | − | 1.52312i | 0.00176556 | − | 0.00222353i | ||||
\(686\) | 386.930i | 0.564038i | ||||||||
\(687\) | 514.872 | 0.749450 | ||||||||
\(688\) | 286.543 | 0.416487 | ||||||||
\(689\) | − | 985.434i | − | 1.43024i | ||||||
\(690\) | 166.336 | − | 227.338i | 0.241066 | − | 0.329475i | ||||
\(691\) | −502.845 | −0.727706 | −0.363853 | − | 0.931456i | \(-0.618539\pi\) | ||||
−0.363853 | + | 0.931456i | \(0.618539\pi\) | |||||||
\(692\) | 222.582i | 0.321650i | ||||||||
\(693\) | − | 148.000i | − | 0.213565i | ||||||
\(694\) | −43.8591 | −0.0631976 | ||||||||
\(695\) | 352.589 | − | 444.047i | 0.507322 | − | 0.638916i | ||||
\(696\) | −219.381 | −0.315202 | ||||||||
\(697\) | −525.152 | −0.753446 | ||||||||
\(698\) | 319.742i | 0.458084i | ||||||||
\(699\) | −313.401 | −0.448356 | ||||||||
\(700\) | −35.0599 | − | 150.680i | −0.0500856 | − | 0.215257i | ||||
\(701\) | − | 183.664i | − | 0.262002i | −0.991382 | − | 0.131001i | \(-0.958181\pi\) | ||
0.991382 | − | 0.131001i | \(-0.0418192\pi\) | |||||||
\(702\) | 182.780i | 0.260370i | ||||||||
\(703\) | − | 410.353i | − | 0.583717i | ||||||
\(704\) | 127.555i | 0.181186i | ||||||||
\(705\) | 93.2116 | − | 117.390i | 0.132215 | − | 0.166510i | ||||
\(706\) | −326.079 | −0.461868 | ||||||||
\(707\) | 508.313 | 0.718972 | ||||||||
\(708\) | − | 83.1755i | − | 0.117480i | ||||||
\(709\) | 39.2008i | 0.0552903i | 0.999618 | + | 0.0276452i | \(0.00880085\pi\) | ||||
−0.999618 | + | 0.0276452i | \(0.991199\pi\) | |||||||
\(710\) | 127.232 | + | 101.026i | 0.179199 | + | 0.142291i | ||||
\(711\) | − | 76.5724i | − | 0.107697i | ||||||
\(712\) | −469.399 | −0.659268 | ||||||||
\(713\) | 1149.51 | − | 45.3468i | 1.61221 | − | 0.0636000i | ||||
\(714\) | −96.2377 | −0.134787 | ||||||||
\(715\) | 1233.07 | − | 1552.92i | 1.72457 | − | 2.17191i | ||||
\(716\) | −162.929 | −0.227554 | ||||||||
\(717\) | 588.069i | 0.820179i | ||||||||
\(718\) | 805.500 | 1.12187 | ||||||||
\(719\) | −44.6052 | −0.0620378 | −0.0310189 | − | 0.999519i | \(-0.509875\pi\) | ||||
−0.0310189 | + | 0.999519i | \(0.509875\pi\) | |||||||
\(720\) | −37.3105 | + | 46.9885i | −0.0518202 | + | 0.0652619i | ||||
\(721\) | −498.003 | −0.690711 | ||||||||
\(722\) | 354.988i | 0.491673i | ||||||||
\(723\) | −57.3522 | −0.0793253 | ||||||||
\(724\) | 253.444i | 0.350061i | ||||||||
\(725\) | 253.711 | + | 1090.39i | 0.349946 | + | 1.50399i | ||||
\(726\) | 326.327 | 0.449486 | ||||||||
\(727\) | −966.099 | −1.32889 | −0.664443 | − | 0.747339i | \(-0.731331\pi\) | ||||
−0.664443 | + | 0.747339i | \(0.731331\pi\) | |||||||
\(728\) | −217.676 | −0.299005 | ||||||||
\(729\) | −27.0000 | −0.0370370 | ||||||||
\(730\) | 228.153 | − | 287.334i | 0.312539 | − | 0.393609i | ||||
\(731\) | −909.629 | −1.24436 | ||||||||
\(732\) | 263.541 | 0.360028 | ||||||||
\(733\) | 58.5900 | 0.0799317 | 0.0399659 | − | 0.999201i | \(-0.487275\pi\) | ||||
0.0399659 | + | 0.999201i | \(0.487275\pi\) | |||||||
\(734\) | − | 1000.35i | − | 1.36287i | ||||||
\(735\) | −267.399 | − | 212.324i | −0.363808 | − | 0.288876i | ||||
\(736\) | −5.12862 | − | 130.007i | −0.00696824 | − | 0.176639i | ||||
\(737\) | 1224.17i | 1.66101i | ||||||||
\(738\) | − | 175.463i | − | 0.237755i | ||||||
\(739\) | −513.758 | −0.695207 | −0.347603 | − | 0.937642i | \(-0.613004\pi\) | ||||
−0.347603 | + | 0.937642i | \(0.613004\pi\) | |||||||
\(740\) | 243.316 | − | 306.429i | 0.328805 | − | 0.414094i | ||||
\(741\) | − | 451.814i | − | 0.609735i | ||||||
\(742\) | 173.359i | 0.233637i | ||||||||
\(743\) | −474.006 | −0.637962 | −0.318981 | − | 0.947761i | \(-0.603341\pi\) | ||||
−0.318981 | + | 0.947761i | \(0.603341\pi\) | |||||||
\(744\) | −245.034 | −0.329347 | ||||||||
\(745\) | 363.542 | + | 288.665i | 0.487976 | + | 0.387470i | ||||
\(746\) | − | 673.491i | − | 0.902803i | ||||||
\(747\) | 65.0372 | 0.0870645 | ||||||||
\(748\) | − | 404.922i | − | 0.541340i | ||||||
\(749\) | −165.954 | −0.221567 | ||||||||
\(750\) | 276.698 | + | 131.104i | 0.368930 | + | 0.174805i | ||||
\(751\) | − | 870.368i | − | 1.15894i | −0.814992 | − | 0.579472i | \(-0.803259\pi\) | ||
0.814992 | − | 0.579472i | \(-0.196741\pi\) | |||||||
\(752\) | − | 69.2340i | − | 0.0920665i | ||||||
\(753\) | −36.7491 | −0.0488036 | ||||||||
\(754\) | 1575.21 | 2.08914 | ||||||||
\(755\) | −575.006 | + | 724.157i | −0.761597 | + | 0.959149i | ||||
\(756\) | − | 32.1548i | − | 0.0425329i | ||||||
\(757\) | 439.359 | 0.580395 | 0.290197 | − | 0.956967i | \(-0.406279\pi\) | ||||
0.290197 | + | 0.956967i | \(0.406279\pi\) | |||||||
\(758\) | −309.389 | −0.408164 | ||||||||
\(759\) | −634.684 | + | 25.0376i | −0.836211 | + | 0.0329877i | ||||
\(760\) | 92.2281 | − | 116.151i | 0.121353 | − | 0.152831i | ||||
\(761\) | −814.037 | −1.06969 | −0.534847 | − | 0.844949i | \(-0.679631\pi\) | ||||
−0.534847 | + | 0.844949i | \(0.679631\pi\) | |||||||
\(762\) | 41.7694i | 0.0548155i | ||||||||
\(763\) | 240.090i | 0.314666i | ||||||||
\(764\) | − | 223.809i | − | 0.292944i | ||||||
\(765\) | 118.442 | − | 149.165i | 0.154826 | − | 0.194987i | ||||
\(766\) | 36.6822i | 0.0478880i | ||||||||
\(767\) | 597.222i | 0.778647i | ||||||||
\(768\) | 27.7128i | 0.0360844i | ||||||||
\(769\) | 1396.26i | 1.81568i | 0.419320 | + | 0.907838i | \(0.362269\pi\) | ||||
−0.419320 | + | 0.907838i | \(0.637731\pi\) | |||||||
\(770\) | −216.923 | + | 273.191i | −0.281719 | + | 0.354794i | ||||
\(771\) | 638.550 | 0.828210 | ||||||||
\(772\) | − | 324.630i | − | 0.420506i | ||||||
\(773\) | 60.6538 | 0.0784654 | 0.0392327 | − | 0.999230i | \(-0.487509\pi\) | ||||
0.0392327 | + | 0.999230i | \(0.487509\pi\) | |||||||
\(774\) | − | 303.924i | − | 0.392667i | ||||||
\(775\) | 283.379 | + | 1217.90i | 0.365650 | + | 1.57149i | ||||
\(776\) | 1.64079i | 0.00211441i | ||||||||
\(777\) | 209.693i | 0.269876i | ||||||||
\(778\) | 165.595 | 0.212847 | ||||||||
\(779\) | 433.728i | 0.556776i | ||||||||
\(780\) | 267.899 | − | 337.390i | 0.343461 | − | 0.432551i | ||||
\(781\) | − | 366.333i | − | 0.469056i | ||||||
\(782\) | 16.2808 | + | 412.705i | 0.0208194 | + | 0.527756i | ||||
\(783\) | 232.688i | 0.297175i | ||||||||
\(784\) | −157.706 | −0.201156 | ||||||||
\(785\) | −549.104 | + | 691.536i | −0.699495 | + | 0.880938i | ||||
\(786\) | −516.002 | −0.656491 | ||||||||
\(787\) | 910.682 | 1.15716 | 0.578578 | − | 0.815627i | \(-0.303608\pi\) | ||||
0.578578 | + | 0.815627i | \(0.303608\pi\) | |||||||
\(788\) | − | 702.039i | − | 0.890913i | ||||||
\(789\) | 316.670i | 0.401356i | ||||||||
\(790\) | −112.232 | + | 141.344i | −0.142066 | + | 0.178916i | ||||
\(791\) | 189.258 | 0.239265 | ||||||||
\(792\) | 135.292 | 0.170824 | ||||||||
\(793\) | −1892.29 | −2.38624 | ||||||||
\(794\) | −260.374 | −0.327928 | ||||||||
\(795\) | −268.700 | − | 213.357i | −0.337988 | − | 0.268374i | ||||
\(796\) | 34.1699i | 0.0429270i | ||||||||
\(797\) | 554.031 | 0.695146 | 0.347573 | − | 0.937653i | \(-0.387006\pi\) | ||||
0.347573 | + | 0.937653i | \(0.387006\pi\) | |||||||
\(798\) | 79.4837i | 0.0996037i | ||||||||
\(799\) | 219.783i | 0.275073i | ||||||||
\(800\) | 137.742 | − | 32.0495i | 0.172177 | − | 0.0400619i | ||||
\(801\) | 497.873i | 0.621564i | ||||||||
\(802\) | 684.352 | 0.853307 | ||||||||
\(803\) | −827.311 | −1.03027 | ||||||||
\(804\) | 265.965i | 0.330802i | ||||||||
\(805\) | 210.109 | − | 287.164i | 0.261005 | − | 0.356726i | ||||
\(806\) | 1759.41 | 2.18289 | ||||||||
\(807\) | − | 400.673i | − | 0.496497i | ||||||
\(808\) | 464.667i | 0.575083i | ||||||||
\(809\) | 91.9575 | 0.113668 | 0.0568341 | − | 0.998384i | \(-0.481899\pi\) | ||||
0.0568341 | + | 0.998384i | \(0.481899\pi\) | |||||||
\(810\) | 49.8389 | + | 39.5738i | 0.0615295 | + | 0.0488565i | ||||
\(811\) | 11.1806 | 0.0137862 | 0.00689311 | − | 0.999976i | \(-0.497806\pi\) | ||||
0.00689311 | + | 0.999976i | \(0.497806\pi\) | |||||||
\(812\) | −277.113 | −0.341273 | ||||||||
\(813\) | 418.372i | 0.514602i | ||||||||
\(814\) | −882.290 | −1.08389 | ||||||||
\(815\) | 1107.95 | + | 879.749i | 1.35945 | + | 1.07945i | ||||
\(816\) | − | 87.9742i | − | 0.107812i | ||||||
\(817\) | 751.272i | 0.919550i | ||||||||
\(818\) | − | 831.130i | − | 1.01605i | ||||||
\(819\) | 230.880i | 0.281905i | ||||||||
\(820\) | −257.176 | + | 323.885i | −0.313629 | + | 0.394982i | ||||
\(821\) | −1163.60 | −1.41730 | −0.708651 | − | 0.705559i | \(-0.750696\pi\) | ||||
−0.708651 | + | 0.705559i | \(0.750696\pi\) | |||||||
\(822\) | −0.952793 | −0.00115912 | ||||||||
\(823\) | − | 261.580i | − | 0.317837i | −0.987292 | − | 0.158918i | \(-0.949199\pi\) | ||
0.987292 | − | 0.158918i | \(-0.0508007\pi\) | |||||||
\(824\) | − | 455.242i | − | 0.552478i | ||||||
\(825\) | −156.464 | − | 672.448i | −0.189653 | − | 0.815088i | ||||
\(826\) | − | 105.064i | − | 0.127196i | ||||||
\(827\) | −773.865 | −0.935750 | −0.467875 | − | 0.883795i | \(-0.654980\pi\) | ||||
−0.467875 | + | 0.883795i | \(0.654980\pi\) | |||||||
\(828\) | −137.893 | + | 5.43973i | −0.166537 | + | 0.00656972i | ||||
\(829\) | 1240.96 | 1.49693 | 0.748466 | − | 0.663173i | \(-0.230791\pi\) | ||||
0.748466 | + | 0.663173i | \(0.230791\pi\) | |||||||
\(830\) | −120.051 | − | 95.3248i | −0.144640 | − | 0.114849i | ||||
\(831\) | −376.020 | −0.452491 | ||||||||
\(832\) | − | 198.985i | − | 0.239165i | ||||||
\(833\) | 500.638 | 0.601006 | ||||||||
\(834\) | −277.775 | −0.333064 | ||||||||
\(835\) | 709.896 | + | 563.682i | 0.850175 | + | 0.675068i | ||||
\(836\) | −334.430 | −0.400036 | ||||||||
\(837\) | 259.898i | 0.310511i | ||||||||
\(838\) | −352.812 | −0.421017 | ||||||||
\(839\) | − | 634.862i | − | 0.756689i | −0.925665 | − | 0.378344i | \(-0.876493\pi\) | ||
0.925665 | − | 0.378344i | \(-0.123507\pi\) | |||||||
\(840\) | −47.1292 | + | 59.3541i | −0.0561062 | + | 0.0706597i | ||||
\(841\) | 1164.33 | 1.38446 | ||||||||
\(842\) | 420.827 | 0.499795 | ||||||||
\(843\) | −455.177 | −0.539948 | ||||||||
\(844\) | 334.949 | 0.396858 | ||||||||
\(845\) | −1398.13 | + | 1760.79i | −1.65459 | + | 2.08378i | ||||
\(846\) | −73.4337 | −0.0868011 | ||||||||
\(847\) | 412.203 | 0.486663 | ||||||||
\(848\) | −158.474 | −0.186879 | ||||||||
\(849\) | − | 122.997i | − | 0.144873i | ||||||
\(850\) | −437.261 | + | 101.741i | −0.514425 | + | 0.119695i | ||||
\(851\) | 899.249 | − | 35.4744i | 1.05670 | − | 0.0416856i | ||||
\(852\) | − | 79.5902i | − | 0.0934158i | ||||||
\(853\) | 228.755i | 0.268177i | 0.990969 | + | 0.134089i | \(0.0428107\pi\) | ||||
−0.990969 | + | 0.134089i | \(0.957189\pi\) | |||||||
\(854\) | 332.895 | 0.389806 | ||||||||
\(855\) | −123.197 | − | 97.8227i | −0.144090 | − | 0.114412i | ||||
\(856\) | − | 151.704i | − | 0.177224i | ||||||
\(857\) | − | 820.109i | − | 0.956953i | −0.878100 | − | 0.478477i | \(-0.841189\pi\) | ||
0.878100 | − | 0.478477i | \(-0.158811\pi\) | |||||||
\(858\) | −971.434 | −1.13221 | ||||||||
\(859\) | 1282.12 | 1.49257 | 0.746286 | − | 0.665626i | \(-0.231835\pi\) | ||||
0.746286 | + | 0.665626i | \(0.231835\pi\) | |||||||
\(860\) | −445.461 | + | 561.010i | −0.517978 | + | 0.652337i | ||||
\(861\) | − | 221.638i | − | 0.257420i | ||||||
\(862\) | 117.821 | 0.136683 | ||||||||
\(863\) | 216.368i | 0.250717i | 0.992112 | + | 0.125358i | \(0.0400080\pi\) | ||||
−0.992112 | + | 0.125358i | \(0.959992\pi\) | |||||||
\(864\) | 29.3939 | 0.0340207 | ||||||||
\(865\) | −435.783 | − | 346.027i | −0.503795 | − | 0.400031i | ||||
\(866\) | 812.619i | 0.938359i | ||||||||
\(867\) | − | 221.289i | − | 0.255235i | ||||||
\(868\) | −309.518 | −0.356587 | ||||||||
\(869\) | 406.966 | 0.468315 | ||||||||
\(870\) | 341.050 | − | 429.516i | 0.392012 | − | 0.493696i | ||||
\(871\) | − | 1909.70i | − | 2.19253i | ||||||
\(872\) | −219.475 | −0.251691 | ||||||||
\(873\) | 1.74032 | 0.00199349 | ||||||||
\(874\) | 340.858 | − | 13.4465i | 0.389997 | − | 0.0153850i | ||||
\(875\) | 349.514 | + | 165.606i | 0.399445 | + | 0.189264i | ||||
\(876\) | −179.743 | −0.205186 | ||||||||
\(877\) | 957.335i | 1.09160i | 0.837915 | + | 0.545801i | \(0.183774\pi\) | ||||
−0.837915 | + | 0.545801i | \(0.816226\pi\) | |||||||
\(878\) | − | 278.280i | − | 0.316947i | ||||||
\(879\) | 851.252i | 0.968432i | ||||||||
\(880\) | −249.734 | − | 198.297i | −0.283789 | − | 0.225338i | ||||
\(881\) | 802.836i | 0.911278i | 0.890165 | + | 0.455639i | \(0.150589\pi\) | ||||
−0.890165 | + | 0.455639i | \(0.849411\pi\) | |||||||
\(882\) | 167.273i | 0.189652i | ||||||||
\(883\) | 188.170i | 0.213103i | 0.994307 | + | 0.106552i | \(0.0339809\pi\) | ||||
−0.994307 | + | 0.106552i | \(0.966019\pi\) | |||||||
\(884\) | 631.678i | 0.714568i | ||||||||
\(885\) | 162.846 | + | 129.305i | 0.184006 | + | 0.146107i | ||||
\(886\) | −18.5922 | −0.0209844 | ||||||||
\(887\) | 1228.23i | 1.38470i | 0.721564 | + | 0.692348i | \(0.243424\pi\) | ||||
−0.721564 | + | 0.692348i | \(0.756576\pi\) | |||||||
\(888\) | −191.688 | −0.215865 | ||||||||
\(889\) | 52.7615i | 0.0593493i | ||||||||
\(890\) | 729.731 | − | 919.016i | 0.819922 | − | 1.03260i | ||||
\(891\) | − | 143.499i | − | 0.161054i | ||||||
\(892\) | 106.236i | 0.119098i | ||||||||
\(893\) | 181.521 | 0.203271 | ||||||||
\(894\) | − | 227.415i | − | 0.254379i | ||||||
\(895\) | 253.290 | − | 318.991i | 0.283006 | − | 0.356415i | ||||
\(896\) | 35.0058i | 0.0390689i | ||||||||
\(897\) | 990.106 | − | 39.0587i | 1.10380 | − | 0.0435437i | ||||
\(898\) | 10.2749i | 0.0114420i | ||||||||
\(899\) | 2239.82 | 2.49146 | ||||||||
\(900\) | −33.9936 | − | 146.097i | −0.0377707 | − | 0.162330i | ||||
\(901\) | 503.074 | 0.558350 | ||||||||
\(902\) | 932.549 | 1.03387 | ||||||||
\(903\) | − | 383.906i | − | 0.425145i | ||||||
\(904\) | 173.008i | 0.191380i | ||||||||
\(905\) | −496.207 | − | 394.005i | −0.548295 | − | 0.435365i | ||||
\(906\) | 453.000 | 0.499999 | ||||||||
\(907\) | 969.640 | 1.06906 | 0.534531 | − | 0.845149i | \(-0.320488\pi\) | ||||
0.534531 | + | 0.845149i | \(0.320488\pi\) | |||||||
\(908\) | 743.552 | 0.818889 | ||||||||
\(909\) | 492.854 | 0.542193 | ||||||||
\(910\) | 338.400 | − | 426.178i | 0.371868 | − | 0.468328i | ||||
\(911\) | 82.3091i | 0.0903503i | 0.998979 | + | 0.0451751i | \(0.0143846\pi\) | ||||
−0.998979 | + | 0.0451751i | \(0.985615\pi\) | |||||||
\(912\) | −72.6589 | −0.0796698 | ||||||||
\(913\) | 345.659i | 0.378596i | ||||||||
\(914\) | − | 899.254i | − | 0.983866i | ||||||
\(915\) | −409.702 | + | 515.975i | −0.447762 | + | 0.563907i | ||||
\(916\) | 594.523i | 0.649042i | ||||||||
\(917\) | −651.794 | −0.710790 | ||||||||
\(918\) | −93.3108 | −0.101646 | ||||||||
\(919\) | − | 1404.90i | − | 1.52872i | −0.644788 | − | 0.764362i | \(-0.723054\pi\) | ||
0.644788 | − | 0.764362i | \(-0.276946\pi\) | |||||||
\(920\) | 262.507 | + | 192.068i | 0.285334 | + | 0.208769i | ||||
\(921\) | 618.485 | 0.671536 | ||||||||
\(922\) | − | 902.310i | − | 0.978644i | ||||||
\(923\) | 571.479i | 0.619153i | ||||||||
\(924\) | 170.896 | 0.184952 | ||||||||
\(925\) | 221.685 | + | 952.754i | 0.239659 | + | 1.03000i | ||||
\(926\) | 839.695 | 0.906798 | ||||||||
\(927\) | −482.857 | −0.520881 | ||||||||
\(928\) | − | 253.319i | − | 0.272973i | ||||||
\(929\) | −1680.30 | −1.80872 | −0.904361 | − | 0.426769i | \(-0.859652\pi\) | ||||
−0.904361 | + | 0.426769i | \(0.859652\pi\) | |||||||
\(930\) | 380.932 | − | 479.742i | 0.409604 | − | 0.515851i | ||||
\(931\) | − | 413.482i | − | 0.444127i | ||||||
\(932\) | − | 361.884i | − | 0.388287i | ||||||
\(933\) | 238.710i | 0.255852i | ||||||||
\(934\) | 843.240i | 0.902827i | ||||||||
\(935\) | 792.780 | + | 629.494i | 0.847893 | + | 0.673256i | ||||
\(936\) | −211.056 | −0.225487 | ||||||||
\(937\) | 283.310 | 0.302359 | 0.151180 | − | 0.988506i | \(-0.451693\pi\) | ||||
0.151180 | + | 0.988506i | \(0.451693\pi\) | |||||||
\(938\) | 335.957i | 0.358163i | ||||||||
\(939\) | 824.843i | 0.878427i | ||||||||
\(940\) | 135.550 | + | 107.632i | 0.144202 | + | 0.114502i | ||||
\(941\) | − | 1715.42i | − | 1.82297i | −0.411328 | − | 0.911487i | \(-0.634935\pi\) | ||
0.411328 | − | 0.911487i | \(-0.365065\pi\) | |||||||
\(942\) | 432.593 | 0.459228 | ||||||||
\(943\) | −950.474 | + | 37.4952i | −1.00793 | + | 0.0397616i | ||||
\(944\) | 96.0428 | 0.101740 | ||||||||
\(945\) | 62.9546 | + | 49.9881i | 0.0666186 | + | 0.0528975i | ||||
\(946\) | 1615.29 | 1.70750 | ||||||||
\(947\) | 451.702i | 0.476982i | 0.971145 | + | 0.238491i | \(0.0766528\pi\) | ||||
−0.971145 | + | 0.238491i | \(0.923347\pi\) | |||||||
\(948\) | 88.4182 | 0.0932682 | ||||||||
\(949\) | 1290.60 | 1.35996 | ||||||||
\(950\) | 84.0291 | + | 361.139i | 0.0884516 | + | 0.380146i | ||||
\(951\) | −502.662 | −0.528562 | ||||||||
\(952\) | − | 111.126i | − | 0.116729i | ||||||
\(953\) | −844.626 | −0.886281 | −0.443141 | − | 0.896452i | \(-0.646136\pi\) | ||||
−0.443141 | + | 0.896452i | \(0.646136\pi\) | |||||||
\(954\) | 168.087i | 0.176191i | ||||||||
\(955\) | 438.187 | + | 347.935i | 0.458834 | + | 0.364330i | ||||
\(956\) | −679.043 | −0.710296 | ||||||||
\(957\) | −1236.69 | −1.29226 | ||||||||
\(958\) | −288.374 | −0.301017 | ||||||||
\(959\) | −1.20353 | −0.00125499 | ||||||||
\(960\) | −54.2577 | − | 43.0825i | −0.0565184 | − | 0.0448776i | ||||
\(961\) | 1540.74 | 1.60327 | ||||||||
\(962\) | 1376.37 | 1.43074 | ||||||||
\(963\) | −160.906 | −0.167089 | ||||||||
\(964\) | − | 66.2246i | − | 0.0686977i | ||||||
\(965\) | 635.580 | + | 504.672i | 0.658632 | + | 0.522976i | ||||
\(966\) | −174.181 | + | 6.87125i | −0.180311 | + | 0.00711310i | ||||
\(967\) | − | 910.755i | − | 0.941836i | −0.882177 | − | 0.470918i | \(-0.843923\pi\) | ||
0.882177 | − | 0.470918i | \(-0.156077\pi\) | |||||||
\(968\) | 376.809i | 0.389266i | ||||||||
\(969\) | 230.655 | 0.238034 | ||||||||
\(970\) | −3.21242 | − | 2.55077i | −0.00331178 | − | 0.00262966i | ||||
\(971\) | − | 1833.23i | − | 1.88798i | −0.329979 | − | 0.943988i | \(-0.607042\pi\) | ||
0.329979 | − | 0.943988i | \(-0.392958\pi\) | |||||||
\(972\) | − | 31.1769i | − | 0.0320750i | ||||||
\(973\) | −350.875 | −0.360612 | ||||||||
\(974\) | 552.956 | 0.567717 | ||||||||
\(975\) | 244.083 | + | 1049.02i | 0.250342 | + | 1.07592i | ||||
\(976\) | 304.311i | 0.311794i | ||||||||
\(977\) | −494.521 | −0.506163 | −0.253082 | − | 0.967445i | \(-0.581444\pi\) | ||||
−0.253082 | + | 0.967445i | \(0.581444\pi\) | |||||||
\(978\) | − | 693.081i | − | 0.708672i | ||||||
\(979\) | −2646.09 | −2.70285 | ||||||||
\(980\) | 245.171 | − | 308.766i | 0.250174 | − | 0.315067i | ||||
\(981\) | 232.788i | 0.237297i | ||||||||
\(982\) | 635.507i | 0.647156i | ||||||||
\(983\) | −484.584 | −0.492965 | −0.246482 | − | 0.969147i | \(-0.579275\pi\) | ||||
−0.246482 | + | 0.969147i | \(0.579275\pi\) | |||||||
\(984\) | 202.607 | 0.205902 | ||||||||
\(985\) | 1374.49 | + | 1091.39i | 1.39542 | + | 1.10801i | ||||
\(986\) | 804.160i | 0.815579i | ||||||||
\(987\) | −92.7587 | −0.0939804 | ||||||||
\(988\) | 521.710 | 0.528046 | ||||||||
\(989\) | −1646.34 | + | 64.9464i | −1.66465 | + | 0.0656688i | ||||
\(990\) | −210.326 | + | 264.883i | −0.212451 | + | 0.267558i | ||||
\(991\) | −517.471 | −0.522171 | −0.261085 | − | 0.965316i | \(-0.584080\pi\) | ||||
−0.261085 | + | 0.965316i | \(0.584080\pi\) | |||||||
\(992\) | − | 282.941i | − | 0.285223i | ||||||
\(993\) | 215.886i | 0.217408i | ||||||||
\(994\) | − | 100.535i | − | 0.101142i | ||||||
\(995\) | −66.8997 | − | 53.1207i | −0.0672359 | − | 0.0533876i | ||||
\(996\) | 75.0985i | 0.0754001i | ||||||||
\(997\) | − | 21.9492i | − | 0.0220152i | −0.999939 | − | 0.0110076i | \(-0.996496\pi\) | ||
0.999939 | − | 0.0110076i | \(-0.00350391\pi\) | |||||||
\(998\) | 1089.66i | 1.09184i | ||||||||
\(999\) | 203.316i | 0.203520i |
(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 | 690.3.f.a.229.8 | yes | 48 | |
5.4 | even | 2 | inner | 690.3.f.a.229.5 | ✓ | 48 | |
23.22 | odd | 2 | inner | 690.3.f.a.229.7 | yes | 48 | |
115.114 | odd | 2 | inner | 690.3.f.a.229.6 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.3.f.a.229.5 | ✓ | 48 | 5.4 | even | 2 | inner | |
690.3.f.a.229.6 | yes | 48 | 115.114 | odd | 2 | inner | |
690.3.f.a.229.7 | yes | 48 | 23.22 | odd | 2 | inner | |
690.3.f.a.229.8 | yes | 48 | 1.1 | even | 1 | trivial |