Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [656,2,Mod(305,656)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(656, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("656.305");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 656 = 2^{4} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 656.u (of order \(5\), degree \(4\), not 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: | \(5.23818637260\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 2 x^{19} + 7 x^{18} - 6 x^{17} + 60 x^{16} - 92 x^{15} + 603 x^{14} - 690 x^{13} + 2935 x^{12} + \cdots + 4096 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 328) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 625.3 | ||
Root | \(0.645787 + 0.469192i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 656.625 |
Dual form | 656.2.u.h.529.3 |
$q$-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 \(\left(\mathbb{Z}/656\mathbb{Z}\right)^\times\).
\(n\) | \(129\) | \(165\) | \(575\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.798236 | 0.460862 | 0.230431 | − | 0.973089i | \(-0.425986\pi\) | ||||
0.230431 | + | 0.973089i | \(0.425986\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.897909 | + | 2.76348i | 0.401557 | + | 1.23587i | 0.923736 | + | 0.383030i | \(0.125119\pi\) |
−0.522179 | + | 0.852836i | \(0.674881\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.99043 | + | 1.44613i | −0.752310 | + | 0.546586i | −0.896542 | − | 0.442958i | \(-0.853929\pi\) |
0.144232 | + | 0.989544i | \(0.453929\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.36282 | −0.787606 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.720795 | − | 2.21838i | 0.217328 | − | 0.668867i | −0.781652 | − | 0.623715i | \(-0.785623\pi\) |
0.998980 | − | 0.0451522i | \(-0.0143773\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.16183 | + | 2.29720i | 0.876933 | + | 0.637129i | 0.932438 | − | 0.361329i | \(-0.117677\pi\) |
−0.0555054 | + | 0.998458i | \(0.517677\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.716744 | + | 2.20591i | 0.185062 | + | 0.569564i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.83272 | + | 5.64054i | −0.444501 | + | 1.36803i | 0.438529 | + | 0.898717i | \(0.355500\pi\) |
−0.883030 | + | 0.469316i | \(0.844500\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.22881 | + | 0.892785i | −0.281909 | + | 0.204819i | −0.719750 | − | 0.694234i | \(-0.755743\pi\) |
0.437841 | + | 0.899053i | \(0.355743\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.58883 | + | 1.15435i | −0.346711 | + | 0.251900i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.43025 | − | 1.03914i | −0.298228 | − | 0.216675i | 0.428601 | − | 0.903494i | \(-0.359007\pi\) |
−0.726829 | + | 0.686819i | \(0.759007\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.78550 | + | 2.02378i | −0.557100 | + | 0.404756i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.28080 | −0.823840 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.70533 | + | 5.24846i | 0.316671 | + | 0.974614i | 0.975061 | + | 0.221937i | \(0.0712378\pi\) |
−0.658390 | + | 0.752677i | \(0.728762\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.744676 | + | 2.29188i | −0.133748 | + | 0.411633i | −0.995393 | − | 0.0958777i | \(-0.969434\pi\) |
0.861645 | + | 0.507511i | \(0.169434\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.575365 | − | 1.77079i | 0.100158 | − | 0.308255i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −5.78357 | − | 4.20201i | −0.977602 | − | 0.710270i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.325137 | − | 1.00067i | −0.0534522 | − | 0.164509i | 0.920767 | − | 0.390114i | \(-0.127564\pi\) |
−0.974219 | + | 0.225605i | \(0.927564\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.52388 | + | 1.83371i | 0.404145 | + | 0.293629i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.72010 | − | 5.79664i | 0.424808 | − | 0.905283i | ||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.73244 | − | 3.43832i | −0.721691 | − | 0.524339i | 0.165233 | − | 0.986255i | \(-0.447162\pi\) |
−0.886924 | + | 0.461916i | \(0.847162\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.12160 | − | 6.52960i | −0.316269 | − | 0.973376i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 8.60402 | + | 6.25119i | 1.25503 | + | 0.911829i | 0.998502 | − | 0.0547086i | \(-0.0174230\pi\) |
0.256523 | + | 0.966538i | \(0.417423\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.292612 | + | 0.900567i | −0.0418017 | + | 0.128652i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.46295 | + | 4.50249i | −0.204854 | + | 0.630474i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −2.04506 | − | 6.29404i | −0.280910 | − | 0.864553i | −0.987595 | − | 0.157024i | \(-0.949810\pi\) |
0.706685 | − | 0.707529i | \(-0.250190\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.77766 | 0.913899 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.980884 | + | 0.712654i | −0.129921 | + | 0.0943933i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 9.73177 | + | 7.07055i | 1.26697 | + | 0.920507i | 0.999078 | − | 0.0429422i | \(-0.0136731\pi\) |
0.267891 | + | 0.963449i | \(0.413673\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.79658 | − | 4.21146i | 0.742176 | − | 0.539222i | −0.151216 | − | 0.988501i | \(-0.548319\pi\) |
0.893392 | + | 0.449279i | \(0.148319\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 4.70302 | − | 3.41694i | 0.592524 | − | 0.430494i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −3.50924 | + | 10.8003i | −0.435267 | + | 1.33962i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.17182 | + | 12.8395i | 0.509669 | + | 1.56860i | 0.792778 | + | 0.609511i | \(0.208634\pi\) |
−0.283109 | + | 0.959088i | \(0.591366\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.14168 | − | 0.829477i | −0.137442 | − | 0.0998574i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.91611 | − | 5.89717i | 0.227400 | − | 0.699865i | −0.770639 | − | 0.637272i | \(-0.780063\pi\) |
0.998039 | − | 0.0625934i | \(-0.0199371\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.84789 | −0.216280 | −0.108140 | − | 0.994136i | \(-0.534489\pi\) | ||||
−0.108140 | + | 0.994136i | \(0.534489\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.22349 | + | 1.61546i | −0.256746 | + | 0.186537i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.77337 | + | 5.45789i | 0.202095 | + | 0.621984i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.57097 | 0.401766 | 0.200883 | − | 0.979615i | \(-0.435619\pi\) | ||||
0.200883 | + | 0.979615i | \(0.435619\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 3.67137 | 0.407930 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −17.2528 | −1.89375 | −0.946873 | − | 0.321608i | \(-0.895777\pi\) | ||||
−0.946873 | + | 0.321608i | \(0.895777\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −17.2332 | −1.86920 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.36125 | + | 4.18951i | 0.145942 | + | 0.449162i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 13.4220 | − | 9.75163i | 1.42273 | − | 1.03367i | 0.431412 | − | 0.902155i | \(-0.358016\pi\) |
0.991314 | − | 0.131516i | \(-0.0419843\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −9.61543 | −1.00797 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.594427 | + | 1.82946i | −0.0616392 | + | 0.189706i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.57056 | − | 2.59416i | −0.366331 | − | 0.266155i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.21214 | − | 12.9636i | −0.427678 | − | 1.31626i | −0.900407 | − | 0.435048i | \(-0.856731\pi\) |
0.472730 | − | 0.881208i | \(-0.343269\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.70311 | + | 5.24163i | −0.171169 | + | 0.526804i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.02614 | − | 4.37825i | 0.599624 | − | 0.435652i | −0.246122 | − | 0.969239i | \(-0.579156\pi\) |
0.845745 | + | 0.533587i | \(0.179156\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.41810 | − | 5.38956i | 0.730927 | − | 0.531049i | −0.158930 | − | 0.987290i | \(-0.550804\pi\) |
0.889856 | + | 0.456241i | \(0.150804\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −4.61666 | − | 3.35420i | −0.450540 | − | 0.327336i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 2.78645 | − | 2.02448i | 0.269376 | − | 0.195713i | −0.444894 | − | 0.895583i | \(-0.646759\pi\) |
0.714270 | + | 0.699870i | \(0.246759\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.88044 | 0.659026 | 0.329513 | − | 0.944151i | \(-0.393115\pi\) | ||||
0.329513 | + | 0.944151i | \(0.393115\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.259536 | − | 0.798771i | −0.0246341 | − | 0.0758159i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.22622 | + | 3.77391i | −0.115353 | + | 0.355019i | −0.992020 | − | 0.126077i | \(-0.959761\pi\) |
0.876668 | + | 0.481097i | \(0.159761\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.58740 | − | 4.88552i | 0.148026 | − | 0.455577i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −7.47082 | − | 5.42787i | −0.690678 | − | 0.501807i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −4.50906 | − | 13.8774i | −0.413344 | − | 1.27214i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.49752 | + | 3.26764i | 0.408866 | + | 0.297058i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 2.17128 | − | 4.62709i | 0.195778 | − | 0.417211i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 3.65998 | + | 2.65913i | 0.327358 | + | 0.237840i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.97012 | + | 6.06340i | 0.174820 | + | 0.538040i | 0.999625 | − | 0.0273770i | \(-0.00871545\pi\) |
−0.824806 | + | 0.565416i | \(0.808715\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −3.77761 | − | 2.74459i | −0.332600 | − | 0.241648i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 6.27399 | − | 19.3094i | 0.548161 | − | 1.68707i | −0.165191 | − | 0.986262i | \(-0.552824\pi\) |
0.713352 | − | 0.700806i | \(-0.247176\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.15478 | − | 3.55405i | 0.100132 | − | 0.308175i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −3.84377 | − | 11.8299i | −0.330819 | − | 1.01816i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6.72508 | 0.574562 | 0.287281 | − | 0.957846i | \(-0.407249\pi\) | ||||
0.287281 | + | 0.957846i | \(0.407249\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.84191 | + | 5.69748i | −0.665142 | + | 0.483254i | −0.868396 | − | 0.495872i | \(-0.834849\pi\) |
0.203253 | + | 0.979126i | \(0.434849\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.86804 | + | 4.98993i | 0.578394 | + | 0.420228i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 7.37510 | − | 5.35832i | 0.616737 | − | 0.448085i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −12.9728 | + | 9.42527i | −1.07733 | + | 0.782726i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.233574 | + | 0.718865i | −0.0192648 | + | 0.0592910i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1.29059 | − | 3.97204i | −0.105730 | − | 0.325402i | 0.884171 | − | 0.467163i | \(-0.154724\pi\) |
−0.989901 | + | 0.141760i | \(0.954724\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 9.83152 | + | 7.14302i | 0.800078 | + | 0.581290i | 0.910937 | − | 0.412546i | \(-0.135360\pi\) |
−0.110859 | + | 0.993836i | \(0.535360\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 4.33039 | − | 13.3276i | 0.350092 | − | 1.07747i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −7.00220 | −0.562431 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −17.1487 | + | 12.4592i | −1.36861 | + | 0.994355i | −0.370769 | + | 0.928725i | \(0.620906\pi\) |
−0.997844 | + | 0.0656300i | \(0.979094\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −1.63244 | − | 5.02413i | −0.129461 | − | 0.398439i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 4.34954 | 0.342791 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −11.4036 | −0.893200 | −0.446600 | − | 0.894734i | \(-0.647365\pi\) | ||||
−0.446600 | + | 0.894734i | \(0.647365\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 5.41017 | 0.421181 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 10.0315 | 0.776258 | 0.388129 | − | 0.921605i | \(-0.373121\pi\) | ||||
0.388129 | + | 0.921605i | \(0.373121\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.702792 | + | 2.16297i | 0.0540609 | + | 0.166382i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.90346 | − | 2.10949i | 0.222033 | − | 0.161317i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 5.85206 | 0.444924 | 0.222462 | − | 0.974941i | \(-0.428591\pi\) | ||||
0.222462 | + | 0.974941i | \(0.428591\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.61768 | − | 8.05638i | 0.197878 | − | 0.609005i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 7.76826 | + | 5.64397i | 0.583898 | + | 0.424227i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −2.46741 | − | 7.59390i | −0.184423 | − | 0.567595i | 0.815515 | − | 0.578736i | \(-0.196454\pi\) |
−0.999938 | + | 0.0111409i | \(0.996454\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.94357 | − | 5.98169i | 0.144464 | − | 0.444615i | −0.852477 | − | 0.522764i | \(-0.824901\pi\) |
0.996942 | + | 0.0781488i | \(0.0249009\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.62704 | − | 3.36174i | 0.342041 | − | 0.248507i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.47339 | − | 1.79702i | 0.181847 | − | 0.132120i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 11.1919 | + | 8.13136i | 0.818429 | + | 0.594624i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 8.52061 | − | 6.19059i | 0.619783 | − | 0.450299i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −20.2047 | −1.46196 | −0.730980 | − | 0.682399i | \(-0.760937\pi\) | ||||
−0.730980 | + | 0.682399i | \(0.760937\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.20159 | − | 3.69811i | −0.0864922 | − | 0.266196i | 0.898451 | − | 0.439074i | \(-0.144693\pi\) |
−0.984943 | + | 0.172878i | \(0.944693\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −2.80120 | + | 8.62121i | −0.200598 | + | 0.617378i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.85947 | − | 5.72285i | 0.132481 | − | 0.407736i | −0.862708 | − | 0.505702i | \(-0.831234\pi\) |
0.995190 | + | 0.0979658i | \(0.0312336\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.88317 | − | 3.54783i | −0.346159 | − | 0.251499i | 0.401097 | − | 0.916036i | \(-0.368629\pi\) |
−0.747256 | + | 0.664536i | \(0.768629\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 3.33010 | + | 10.2490i | 0.234887 | + | 0.722907i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −10.9843 | − | 7.98054i | −0.770945 | − | 0.560124i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 18.4613 | + | 2.31209i | 1.28939 | + | 0.161483i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 3.37942 | + | 2.45529i | 0.234886 | + | 0.170655i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.09481 | + | 3.36949i | 0.0757299 | + | 0.233073i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −16.4369 | − | 11.9421i | −1.13156 | − | 0.822129i | −0.145642 | − | 0.989337i | \(-0.546525\pi\) |
−0.985922 | + | 0.167209i | \(0.946525\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 1.52951 | − | 4.70733i | 0.104800 | − | 0.322541i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 5.25243 | − | 16.1653i | 0.358213 | − | 1.10247i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.83213 | − | 5.63871i | −0.124373 | − | 0.382780i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −1.47506 | −0.0996751 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −18.7522 | + | 13.6243i | −1.26141 | + | 0.916469i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 22.2957 | + | 16.1987i | 1.49303 | + | 1.08475i | 0.973057 | + | 0.230564i | \(0.0740570\pi\) |
0.519970 | + | 0.854184i | \(0.325943\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 6.58163 | − | 4.78183i | 0.438775 | − | 0.318789i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 17.2810 | − | 12.5554i | 1.14698 | − | 0.833331i | 0.158905 | − | 0.987294i | \(-0.449204\pi\) |
0.988077 | + | 0.153963i | \(0.0492037\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4.90040 | + | 15.0819i | −0.323828 | + | 0.996639i | 0.648139 | + | 0.761522i | \(0.275547\pi\) |
−0.971967 | + | 0.235117i | \(0.924453\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.41557 | + | 4.35668i | 0.0931378 | + | 0.286649i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −10.3839 | − | 7.54437i | −0.680274 | − | 0.494248i | 0.193175 | − | 0.981164i | \(-0.438122\pi\) |
−0.873448 | + | 0.486917i | \(0.838122\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −9.54940 | + | 29.3900i | −0.622934 | + | 1.91720i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 2.85048 | 0.185159 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 9.26028 | − | 6.72799i | 0.598998 | − | 0.435197i | −0.246525 | − | 0.969136i | \(-0.579289\pi\) |
0.845523 | + | 0.533939i | \(0.179289\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.66987 | + | 26.6831i | 0.558476 | + | 1.71881i | 0.686584 | + | 0.727051i | \(0.259109\pi\) |
−0.128108 | + | 0.991760i | \(0.540891\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.7730 | 1.01184 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −2.75144 | −0.175783 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.93620 | −0.377712 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −13.7718 | −0.872755 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −8.02492 | − | 24.6982i | −0.506529 | − | 1.55893i | −0.798186 | − | 0.602412i | \(-0.794207\pi\) |
0.291657 | − | 0.956523i | \(-0.405793\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.33612 | + | 2.42383i | −0.209740 | + | 0.152385i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −13.7561 | −0.861442 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 3.51394 | − | 10.8148i | 0.219194 | − | 0.674609i | −0.779636 | − | 0.626233i | \(-0.784596\pi\) |
0.998829 | − | 0.0483752i | \(-0.0154043\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.09426 | + | 1.52157i | 0.130131 | + | 0.0945456i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −4.02938 | − | 12.4011i | −0.249412 | − | 0.767612i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −9.16637 | + | 28.2112i | −0.565223 | + | 1.73958i | 0.102066 | + | 0.994778i | \(0.467455\pi\) |
−0.667289 | + | 0.744799i | \(0.732545\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.5572 | − | 11.3029i | 0.955670 | − | 0.694335i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 10.7139 | − | 7.78411i | 0.655680 | − | 0.476380i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −12.2311 | − | 8.88640i | −0.745742 | − | 0.541813i | 0.148762 | − | 0.988873i | \(-0.452471\pi\) |
−0.894504 | + | 0.447060i | \(0.852471\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.81219 | + | 2.76972i | −0.231574 | + | 0.168248i | −0.697521 | − | 0.716564i | \(-0.745714\pi\) |
0.465947 | + | 0.884812i | \(0.345714\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −7.67539 | −0.464536 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.48175 | + | 7.63803i | 0.149655 | + | 0.460590i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.20745 | + | 9.87151i | −0.192717 | + | 0.593122i | 0.807279 | + | 0.590170i | \(0.200939\pi\) |
−0.999996 | + | 0.00295129i | \(0.999061\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.75953 | − | 5.41529i | 0.105341 | − | 0.324205i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −10.0725 | − | 7.31809i | −0.600874 | − | 0.436561i | 0.245315 | − | 0.969443i | \(-0.421109\pi\) |
−0.846189 | + | 0.532883i | \(0.821109\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 7.62700 | + | 23.4735i | 0.453378 | + | 1.39535i | 0.873029 | + | 0.487669i | \(0.162153\pi\) |
−0.419651 | + | 0.907686i | \(0.637847\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −2.85015 | − | 2.07075i | −0.168828 | − | 0.122661i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 2.96853 | + | 15.4714i | 0.175227 | + | 0.913248i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.7036 | − | 10.6828i | −0.864916 | − | 0.628398i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.36228 | − | 10.3480i | −0.197100 | − | 0.606612i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −12.8065 | − | 9.30449i | −0.748166 | − | 0.543574i | 0.147092 | − | 0.989123i | \(-0.453009\pi\) |
−0.895258 | + | 0.445549i | \(0.853009\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.8011 | + | 33.2423i | −0.628863 | + | 1.93544i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −3.08558 | + | 9.49643i | −0.179043 | + | 0.551039i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −2.13509 | − | 6.57115i | −0.123476 | − | 0.380019i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 14.3918 | 0.829532 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 4.81029 | − | 3.49488i | 0.276344 | − | 0.200775i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 16.8431 | + | 12.2372i | 0.964432 | + | 0.700701i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −15.2812 | + | 11.1025i | −0.872146 | + | 0.633651i | −0.931162 | − | 0.364606i | \(-0.881204\pi\) |
0.0590159 | + | 0.998257i | \(0.481204\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 5.92139 | − | 4.30214i | 0.336856 | − | 0.244740i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −4.37591 | + | 13.4677i | −0.248135 | + | 0.763682i | 0.746970 | + | 0.664858i | \(0.231508\pi\) |
−0.995105 | + | 0.0988239i | \(0.968492\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.0543472 | + | 0.167263i | 0.00307188 | + | 0.00945429i | 0.952581 | − | 0.304286i | \(-0.0984179\pi\) |
−0.949509 | + | 0.313740i | \(0.898418\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 13.6655 | + | 9.92859i | 0.769966 | + | 0.559413i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −2.84305 | + | 8.75001i | −0.159682 | + | 0.491450i | −0.998605 | − | 0.0527998i | \(-0.983185\pi\) |
0.838923 | + | 0.544249i | \(0.183185\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 12.8723 | 0.720708 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 2.22425 | − | 1.61601i | 0.124145 | − | 0.0901969i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2.78372 | − | 8.56741i | −0.154890 | − | 0.476703i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −13.4563 | −0.746421 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.49221 | 0.303720 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −26.1657 | −1.44256 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −11.5868 | −0.636870 | −0.318435 | − | 0.947945i | \(-0.603157\pi\) | ||||
−0.318435 | + | 0.947945i | \(0.603157\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.768240 | + | 2.36440i | 0.0420993 | + | 0.129568i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −31.7359 | + | 23.0575i | −1.73392 | + | 1.25976i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 18.5090 | 1.00825 | 0.504125 | − | 0.863631i | \(-0.331815\pi\) | ||||
0.504125 | + | 0.863631i | \(0.331815\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.978811 | + | 3.01247i | −0.0531617 | + | 0.163615i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.54749 | + | 3.30395i | 0.246261 | + | 0.178919i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.04184 | − | 18.5949i | −0.326229 | − | 1.00403i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 1.26712 | − | 3.89980i | 0.0682195 | − | 0.209958i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1.08095 | − | 0.785359i | 0.0580287 | − | 0.0421603i | −0.558393 | − | 0.829577i | \(-0.688582\pi\) |
0.616421 | + | 0.787416i | \(0.288582\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.42305 | − | 1.76045i | 0.129703 | − | 0.0942348i | −0.521042 | − | 0.853531i | \(-0.674457\pi\) |
0.650745 | + | 0.759296i | \(0.274457\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −13.5351 | − | 9.83385i | −0.722452 | − | 0.524892i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 7.54046 | − | 5.47846i | 0.401338 | − | 0.291589i | −0.368748 | − | 0.929530i | \(-0.620213\pi\) |
0.770086 | + | 0.637940i | \(0.220213\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 18.0172 | 0.956254 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −3.59929 | − | 11.0775i | −0.190495 | − | 0.586282i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −10.6338 | + | 32.7274i | −0.561230 | + | 1.72729i | 0.117666 | + | 0.993053i | \(0.462459\pi\) |
−0.678896 | + | 0.734235i | \(0.737541\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.15841 | + | 15.8759i | −0.271495 | + | 0.835576i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 3.59009 | + | 2.60835i | 0.188431 | + | 0.136903i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.65924 | − | 5.10662i | −0.0868487 | − | 0.267293i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 23.8966 | + | 17.3619i | 1.24739 | + | 0.906282i | 0.998068 | − | 0.0621388i | \(-0.0197921\pi\) |
0.249322 | + | 0.968421i | \(0.419792\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −6.42711 | + | 13.6964i | −0.334582 | + | 0.713007i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 13.1725 | + | 9.57040i | 0.683884 | + | 0.496870i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.7097 | + | 32.9612i | 0.554529 | + | 1.70667i | 0.697183 | + | 0.716893i | \(0.254436\pi\) |
−0.142654 | + | 0.989773i | \(0.545564\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.92153 | + | 2.12261i | 0.150867 | + | 0.109611i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −6.66481 | + | 20.5122i | −0.343255 | + | 1.05643i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.675642 | − | 2.07941i | 0.0347054 | − | 0.106812i | −0.932203 | − | 0.361935i | \(-0.882116\pi\) |
0.966909 | + | 0.255123i | \(0.0821161\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.57262 | + | 4.84002i | 0.0805677 | + | 0.247962i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 22.2058 | 1.13467 | 0.567333 | − | 0.823489i | \(-0.307975\pi\) | ||||
0.567333 | + | 0.823489i | \(0.307975\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −13.4904 | + | 9.80137i | −0.687536 | + | 0.499524i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 11.1819 | + | 8.12413i | 0.568408 | + | 0.412973i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 6.74301 | − | 4.89909i | 0.341884 | − | 0.248393i | −0.403572 | − | 0.914948i | \(-0.632232\pi\) |
0.745456 | + | 0.666554i | \(0.232232\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 8.48256 | − | 6.16294i | 0.428981 | − | 0.311673i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 5.00813 | − | 15.4134i | 0.252627 | − | 0.777505i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 3.20641 | + | 9.86832i | 0.161332 | + | 0.496529i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −4.45553 | − | 3.23713i | −0.223617 | − | 0.162467i | 0.470337 | − | 0.882487i | \(-0.344133\pi\) |
−0.693953 | + | 0.720020i | \(0.744133\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.921787 | − | 2.83697i | 0.0461471 | − | 0.142026i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 28.2757 | 1.41202 | 0.706011 | − | 0.708201i | \(-0.250493\pi\) | ||||
0.706011 | + | 0.708201i | \(0.250493\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −7.61943 | + | 5.53584i | −0.379551 | + | 0.275760i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 3.29656 | + | 10.1458i | 0.163807 | + | 0.504147i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −2.45422 | −0.121651 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −17.1665 | −0.848826 | −0.424413 | − | 0.905469i | \(-0.639520\pi\) | ||||
−0.424413 | + | 0.905469i | \(0.639520\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 5.36820 | 0.264794 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −29.5953 | −1.45629 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −15.4915 | − | 47.6779i | −0.760447 | − | 2.34042i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −6.25970 | + | 4.54794i | −0.306539 | + | 0.222713i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 15.6385 | 0.763990 | 0.381995 | − | 0.924164i | \(-0.375237\pi\) | ||||
0.381995 | + | 0.924164i | \(0.375237\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 7.05179 | − | 21.7032i | 0.343683 | − | 1.05775i | −0.618602 | − | 0.785705i | \(-0.712301\pi\) |
0.962285 | − | 0.272044i | \(-0.0876995\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −20.3297 | − | 14.7704i | −0.988466 | − | 0.718163i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −6.31019 | − | 19.4208i | −0.306089 | − | 0.942045i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.44734 | + | 16.7652i | −0.263615 | + | 0.811325i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 5.88707 | − | 4.27721i | 0.284230 | − | 0.206505i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −13.1832 | + | 9.57813i | −0.635011 | + | 0.461362i | −0.858133 | − | 0.513428i | \(-0.828375\pi\) |
0.223122 | + | 0.974791i | \(0.428375\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 30.0009 | + | 21.7970i | 1.44175 | + | 1.04749i | 0.987673 | + | 0.156534i | \(0.0500321\pi\) |
0.454080 | + | 0.890961i | \(0.349968\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −10.3553 | + | 7.52359i | −0.496501 | + | 0.360729i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 2.68524 | 0.128452 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.07740 | + | 15.6266i | 0.242331 | + | 0.745818i | 0.996064 | + | 0.0886375i | \(0.0282513\pi\) |
−0.753733 | + | 0.657181i | \(0.771749\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.691389 | − | 2.12788i | 0.0329233 | − | 0.101327i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −0.453932 | + | 1.39706i | −0.0215670 | + | 0.0663763i | −0.961261 | − | 0.275641i | \(-0.911110\pi\) |
0.939694 | + | 0.342017i | \(0.111110\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 39.0001 | + | 28.3353i | 1.84878 | + | 1.34322i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −1.03020 | − | 3.17063i | −0.0487267 | − | 0.149965i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 15.0241 | + | 10.9156i | 0.709029 | + | 0.515140i | 0.882860 | − | 0.469636i | \(-0.155615\pi\) |
−0.173831 | + | 0.984775i | \(0.555615\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.8985 | − | 10.2124i | −0.513191 | − | 0.480884i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 7.84788 | + | 5.70182i | 0.368725 | + | 0.267895i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −8.63379 | − | 26.5721i | −0.404758 | − | 1.24572i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −17.5959 | − | 12.7842i | −0.823101 | − | 0.598018i | 0.0944983 | − | 0.995525i | \(-0.469875\pi\) |
−0.917599 | + | 0.397507i | \(0.869875\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 7.84552 | − | 24.1460i | 0.366197 | − | 1.12704i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −9.08111 | + | 27.9488i | −0.422949 | + | 1.30170i | 0.481995 | + | 0.876174i | \(0.339912\pi\) |
−0.904944 | + | 0.425530i | \(0.860088\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.5553 | − | 35.5637i | −0.537022 | − | 1.65278i | −0.739239 | − | 0.673443i | \(-0.764815\pi\) |
0.202218 | − | 0.979341i | \(-0.435185\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −5.58941 | −0.259203 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 22.0230 | − | 16.0006i | 1.01910 | − | 0.740421i | 0.0530031 | − | 0.998594i | \(-0.483121\pi\) |
0.966099 | + | 0.258174i | \(0.0831207\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −26.8713 | − | 19.5232i | −1.24080 | − | 0.901496i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −13.6887 | + | 9.94541i | −0.630741 | + | 0.458260i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −11.0386 | + | 8.02003i | −0.507557 | + | 0.368761i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.61605 | − | 4.97370i | 0.0741496 | − | 0.228209i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 4.83210 | + | 14.8717i | 0.221247 | + | 0.680927i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −13.7870 | − | 10.0168i | −0.629942 | − | 0.457680i | 0.226438 | − | 0.974026i | \(-0.427292\pi\) |
−0.856380 | + | 0.516346i | \(0.827292\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.27071 | − | 3.91085i | 0.0579395 | − | 0.178319i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 3.47196 | 0.157980 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 32.0426 | − | 23.2803i | 1.45498 | − | 1.05710i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −7.05033 | − | 21.6987i | −0.319481 | − | 0.983262i | −0.973870 | − | 0.227104i | \(-0.927074\pi\) |
0.654389 | − | 0.756158i | \(-0.272926\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −9.10278 | −0.411642 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 15.6516 | 0.706346 | 0.353173 | − | 0.935558i | \(-0.385103\pi\) | ||||
0.353173 | + | 0.935558i | \(0.385103\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −32.7295 | −1.47406 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −16.0144 | −0.719793 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 4.71420 | + | 14.5088i | 0.211461 | + | 0.650809i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −14.3191 | + | 10.4034i | −0.641010 | + | 0.465721i | −0.860197 | − | 0.509962i | \(-0.829659\pi\) |
0.219187 | + | 0.975683i | \(0.429659\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 8.00748 | 0.357748 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 2.93200 | − | 9.02376i | 0.130731 | − | 0.402350i | −0.864170 | − | 0.503199i | \(-0.832156\pi\) |
0.994902 | + | 0.100850i | \(0.0321562\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 17.5101 | + | 12.7219i | 0.779191 | + | 0.566115i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.560994 | + | 1.72656i | 0.0249146 | + | 0.0766793i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 7.59317 | − | 23.3694i | 0.336561 | − | 1.03583i | −0.629387 | − | 0.777092i | \(-0.716694\pi\) |
0.965948 | − | 0.258737i | \(-0.0833062\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.67810 | − | 2.67230i | 0.162710 | − | 0.118215i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 5.26030 | − | 3.82183i | 0.232248 | − | 0.168738i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 21.5547 | + | 15.6604i | 0.949815 | + | 0.690081i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 20.0693 | − | 14.5812i | 0.882645 | − | 0.641279i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 4.67132 | 0.205048 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −13.5880 | − | 41.8196i | −0.595301 | − | 1.83215i | −0.553222 | − | 0.833034i | \(-0.686602\pi\) |
−0.0420792 | − | 0.999114i | \(-0.513398\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.319506 | − | 0.983337i | 0.0139710 | − | 0.0429983i | −0.943828 | − | 0.330437i | \(-0.892804\pi\) |
0.957799 | + | 0.287439i | \(0.0928038\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 2.08952 | − | 6.43090i | 0.0911943 | − | 0.280667i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −11.5626 | − | 8.40075i | −0.503677 | − | 0.365942i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.14158 | − | 18.9018i | −0.267025 | − | 0.821819i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −22.9944 | − | 16.7064i | −0.997873 | − | 0.724997i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 21.9165 | − | 12.0794i | 0.949311 | − | 0.523215i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 8.09658 | + | 5.88251i | 0.350046 | + | 0.254323i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −1.96957 | − | 6.06173i | −0.0849934 | − | 0.261583i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 1.78689 | + | 1.29825i | 0.0769667 | + | 0.0559196i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −11.2139 | + | 34.5128i | −0.482122 | + | 1.48382i | 0.353984 | + | 0.935252i | \(0.384827\pi\) |
−0.836106 | + | 0.548568i | \(0.815173\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 1.55143 | − | 4.77480i | 0.0665781 | − | 0.204906i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 6.17801 | + | 19.0140i | 0.264637 | + | 0.814468i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.31716 | −0.0990745 | −0.0495372 | − | 0.998772i | \(-0.515775\pi\) | ||||
−0.0495372 | + | 0.998772i | \(0.515775\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −13.6963 | + | 9.95092i | −0.584542 | + | 0.424695i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.78127 | − | 4.92688i | −0.288892 | − | 0.209892i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.10776 | + | 5.16409i | −0.302253 | + | 0.219599i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.97435 | − | 1.43445i | 0.0838064 | − | 0.0608889i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −1.77740 | + | 5.47028i | −0.0753109 | + | 0.231783i | −0.981625 | − | 0.190823i | \(-0.938884\pi\) |
0.906314 | + | 0.422606i | \(0.138884\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −7.06465 | − | 21.7427i | −0.298803 | − | 0.919620i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 8.93374 | + | 6.49074i | 0.377183 | + | 0.274039i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 0.632322 | − | 1.94609i | 0.0266492 | − | 0.0820177i | −0.936847 | − | 0.349738i | \(-0.886270\pi\) |
0.963497 | + | 0.267721i | \(0.0862705\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −11.5302 | −0.485077 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −7.30759 | + | 5.30927i | −0.306890 | + | 0.222969i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −4.11990 | − | 12.6797i | −0.172715 | − | 0.531563i | 0.826807 | − | 0.562486i | \(-0.190155\pi\) |
−0.999522 | + | 0.0309238i | \(0.990155\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 20.3679 | 0.852372 | 0.426186 | − | 0.904636i | \(-0.359857\pi\) | ||||
0.426186 | + | 0.904636i | \(0.359857\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −16.1281 | −0.673762 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 6.08695 | 0.253843 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −15.6083 | −0.649780 | −0.324890 | − | 0.945752i | \(-0.605327\pi\) | ||||
−0.324890 | + | 0.945752i | \(0.605327\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −0.959151 | − | 2.95196i | −0.0398610 | − | 0.122679i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 34.3405 | − | 24.9498i | 1.42468 | − | 1.03509i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −15.4366 | −0.639320 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 8.29169 | − | 25.5192i | 0.342819 | − | 1.05509i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 20.9355 | + | 15.2105i | 0.864100 | + | 0.627805i | 0.928997 | − | 0.370087i | \(-0.120672\pi\) |
−0.0648972 | + | 0.997892i | \(0.520672\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.13109 | − | 3.48112i | −0.0466056 | − | 0.143437i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 1.48429 | − | 4.56819i | 0.0610557 | − | 0.187910i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −8.06134 | + | 5.85690i | −0.331039 | + | 0.240514i | −0.740872 | − | 0.671647i | \(-0.765587\pi\) |
0.409832 | + | 0.912161i | \(0.365587\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 34.3013 | − | 24.9214i | 1.40622 | − | 1.02168i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −3.89792 | − | 2.83201i | −0.159531 | − | 0.115906i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 27.0123 | − | 19.6255i | 1.10369 | − | 0.801878i | 0.122032 | − | 0.992526i | \(-0.461059\pi\) |
0.981658 | + | 0.190648i | \(0.0610589\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −2.08104 | −0.0848874 | −0.0424437 | − | 0.999099i | \(-0.513514\pi\) | ||||
−0.0424437 | + | 0.999099i | \(0.513514\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −9.85725 | − | 30.3375i | −0.401418 | − | 1.23544i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −4.99170 | + | 15.3629i | −0.202941 | + | 0.624589i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −13.5846 | + | 41.8092i | −0.551383 | + | 1.69698i | 0.153927 | + | 0.988082i | \(0.450808\pi\) |
−0.705310 | + | 0.708899i | \(0.749192\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −8.76804 | − | 6.37036i | −0.355299 | − | 0.258140i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 12.8442 | + | 39.5303i | 0.519620 | + | 1.59923i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.09453 | − | 4.42794i | −0.246156 | − | 0.178843i | 0.457866 | − | 0.889021i | \(-0.348614\pi\) |
−0.704021 | + | 0.710179i | \(0.748614\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 14.7365 | + | 1.84559i | 0.594232 | + | 0.0744215i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −28.3632 | − | 20.6071i | −1.14186 | − | 0.829610i | −0.154483 | − | 0.987996i | \(-0.549371\pi\) |
−0.987377 | + | 0.158386i | \(0.949371\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −13.9542 | − | 42.9466i | −0.560866 | − | 1.72617i | −0.679925 | − | 0.733282i | \(-0.737988\pi\) |
0.119059 | − | 0.992887i | \(-0.462012\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 6.12261 | + | 4.44834i | 0.245692 | + | 0.178506i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −12.6133 | + | 38.8198i | −0.505342 | + | 1.55528i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −9.38195 | + | 28.8747i | −0.375278 | + | 1.15499i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.873920 | + | 2.68965i | 0.0349010 | + | 0.107414i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 6.24021 | 0.248813 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −16.5520 | + | 12.0258i | −0.658927 | + | 0.478738i | −0.866300 | − | 0.499524i | \(-0.833508\pi\) |
0.207374 | + | 0.978262i | \(0.433508\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −13.1205 | − | 9.53263i | −0.521494 | − | 0.378888i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −14.9871 | + | 10.8888i | −0.594745 | + | 0.432107i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.99397 | + | 2.17525i | −0.118626 | + | 0.0861865i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4.52741 | + | 13.9339i | −0.179102 | + | 0.551218i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 10.6333 | + | 32.7260i | 0.419991 | + | 1.29260i | 0.907710 | + | 0.419599i | \(0.137829\pi\) |
−0.487718 | + | 0.873001i | \(0.662171\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −20.6264 | − | 14.9859i | −0.813425 | − | 0.590988i | 0.101396 | − | 0.994846i | \(-0.467669\pi\) |
−0.914822 | + | 0.403858i | \(0.867669\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.19268 | − | 12.9037i | 0.165087 | − | 0.508084i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −11.1198 | −0.437166 | −0.218583 | − | 0.975818i | \(-0.570143\pi\) | ||||
−0.218583 | + | 0.975818i | \(0.570143\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 22.6998 | − | 16.4924i | 0.891044 | − | 0.647382i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.46247 | − | 4.50102i | −0.0573187 | − | 0.176409i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 29.6012 | 1.15838 | 0.579192 | − | 0.815191i | \(-0.303368\pi\) | ||||
0.579192 | + | 0.815191i | \(0.303368\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 58.9945 | 2.30511 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 4.36624 | 0.170343 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 14.7924 | 0.576231 | 0.288116 | − | 0.957596i | \(-0.406971\pi\) | ||||
0.288116 | + | 0.957596i | \(0.406971\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −6.78317 | − | 20.8765i | −0.263835 | − | 0.812000i | −0.991960 | − | 0.126556i | \(-0.959608\pi\) |
0.728125 | − | 0.685445i | \(-0.240392\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −14.9687 | + | 10.8754i | −0.581336 | + | 0.422366i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 10.8584 | 0.421072 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.01482 | − | 9.27867i | 0.116734 | − | 0.359272i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 17.7972 | + | 12.9304i | 0.688080 | + | 0.499919i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −5.16447 | − | 15.8946i | −0.199372 | − | 0.613605i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.1223 | − | 40.3863i | 0.505827 | − | 1.55678i | −0.293549 | − | 0.955944i | \(-0.594836\pi\) |
0.799376 | − | 0.600831i | \(-0.205164\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 11.9241 | − | 8.66340i | 0.458961 | − | 0.333454i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −11.8645 | + | 8.62004i | −0.455988 | + | 0.331295i | −0.791956 | − | 0.610579i | \(-0.790937\pi\) |
0.335967 | + | 0.941874i | \(0.390937\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 27.1310 | + | 19.7118i | 1.04119 | + | 0.756471i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 13.7943 | − | 10.0222i | 0.528600 | − | 0.384050i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 22.0761 | 0.844717 | 0.422359 | − | 0.906429i | \(-0.361202\pi\) | ||||
0.422359 | + | 0.906429i | \(0.361202\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.03851 | + | 18.5846i | 0.230720 | + | 0.710082i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −3.91168 | + | 12.0389i | −0.149240 | + | 0.459313i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 7.99256 | − | 24.5986i | 0.304492 | − | 0.937131i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.85498 | − | 3.52735i | −0.184692 | − | 0.134187i | 0.491597 | − | 0.870823i | \(-0.336413\pi\) |
−0.676289 | + | 0.736636i | \(0.736413\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −4.19016 | − | 12.8960i | −0.159171 | − | 0.489878i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −22.7862 | − | 16.5551i | −0.864330 | − | 0.627973i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 27.7110 | + | 25.9665i | 1.04963 | + | 0.983551i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −8.28883 | − | 6.02219i | −0.313512 | − | 0.227780i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −1.60509 | − | 4.93997i | −0.0606235 | − | 0.186580i | 0.916158 | − | 0.400817i | \(-0.131274\pi\) |
−0.976782 | + | 0.214237i | \(0.931274\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.29292 | + | 0.939358i | 0.0487632 | + | 0.0354286i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −7.62268 | + | 23.4602i | −0.287087 | + | 0.883562i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −5.66308 | + | 17.4292i | −0.212982 | + | 0.655491i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −12.8319 | − | 39.4925i | −0.481911 | − | 1.48317i | −0.836405 | − | 0.548112i | \(-0.815347\pi\) |
0.354494 | − | 0.935058i | \(-0.384653\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −8.43756 | −0.316433 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 3.44665 | − | 2.50414i | 0.129078 | − | 0.0937806i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 21.4298 | + | 15.5696i | 0.801428 | + | 0.582272i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 7.39189 | − | 5.37052i | 0.276055 | − | 0.200566i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 6.38534 | − | 4.63922i | 0.238133 | − | 0.173014i | −0.462318 | − | 0.886714i | \(-0.652982\pi\) |
0.700451 | + | 0.713700i | \(0.252982\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −6.97117 | + | 21.4551i | −0.259620 | + | 0.799028i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 6.92061 | + | 21.2994i | 0.257380 | + | 0.792135i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −15.3719 | − | 11.1683i | −0.570899 | − | 0.414782i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.94453 | + | 5.98463i | −0.0721185 | + | 0.221958i | −0.980618 | − | 0.195927i | \(-0.937228\pi\) |
0.908500 | + | 0.417885i | \(0.137228\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.57648 | 0.0583882 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 28.0673 | − | 20.3921i | 1.03811 | − | 0.754227i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −9.64303 | − | 29.6782i | −0.356174 | − | 1.09619i | −0.955326 | − | 0.295554i | \(-0.904496\pi\) |
0.599152 | − | 0.800635i | \(-0.295504\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2.19630 | −0.0810117 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 31.4900 | 1.15995 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −11.3530 | −0.417625 | −0.208813 | − | 0.977956i | \(-0.566960\pi\) | ||||
−0.208813 | + | 0.977956i | \(0.566960\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −4.73849 | −0.174073 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −6.25670 | − | 19.2561i | −0.229536 | − | 0.706439i | −0.997799 | − | 0.0663055i | \(-0.978879\pi\) |
0.768263 | − | 0.640134i | \(-0.221121\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9.81782 | − | 7.13306i | 0.359697 | − | 0.261335i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 40.7654 | 1.49153 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −2.61857 | + | 8.05914i | −0.0956806 | + | 0.294474i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −18.4611 | − | 13.4128i | −0.673656 | − | 0.489440i | 0.197591 | − | 0.980285i | \(-0.436688\pi\) |
−0.871247 | + | 0.490845i | \(0.836688\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −6.40578 | − | 19.7150i | −0.233440 | − | 0.718454i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −10.9118 | + | 33.5830i | −0.397120 | + | 1.22221i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −43.0272 | + | 31.2611i | −1.56385 | + | 1.13620i | −0.631085 | + | 0.775714i | \(0.717390\pi\) |
−0.932764 | + | 0.360489i | \(0.882610\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −2.66301 | + | 1.93479i | −0.0966612 | + | 0.0702285i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −36.2434 | − | 26.3324i | −1.31382 | − | 0.954547i | −0.999987 | − | 0.00506961i | \(-0.998386\pi\) |
−0.313835 | − | 0.949478i | \(-0.601614\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −13.6950 | + | 9.95000i | −0.495792 | + | 0.360214i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 40.7188 | 1.47219 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 14.5277 | + | 44.7117i | 0.524565 | + | 1.61445i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8.45764 | − | 26.0299i | 0.304990 | − | 0.938663i | −0.674691 | − | 0.738101i | \(-0.735723\pi\) |
0.979681 | − | 0.200563i | \(-0.0642770\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.80496 | − | 8.63277i | 0.101018 | − | 0.310901i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −33.4385 | − | 24.2945i | −1.20270 | − | 0.873811i | −0.208151 | − | 0.978097i | \(-0.566745\pi\) |
−0.994547 | + | 0.104285i | \(0.966745\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2.56397 | − | 7.89108i | −0.0921004 | − | 0.283456i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 1.67171 | + | 1.21457i | 0.0599724 | + | 0.0435725i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 1.83266 | + | 9.55146i | 0.0656618 | + | 0.342216i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −11.7010 | − | 8.50130i | −0.418696 | − | 0.304201i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −7.30016 | − | 22.4676i | −0.260886 | − | 0.802925i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −49.8288 | − | 36.2027i | −1.77847 | − | 1.29213i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 10.0608 | − | 30.9641i | 0.358630 | − | 1.10375i | −0.595245 | − | 0.803544i | \(-0.702945\pi\) |
0.953875 | − | 0.300205i | \(-0.0970551\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −7.31693 | + | 22.5192i | −0.260490 | + | 0.801705i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −3.01687 | − | 9.28496i | −0.107267 | − | 0.330135i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 28.0023 | 0.994392 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 12.4183 | − | 9.02242i | 0.440432 | − | 0.319992i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −18.2933 | − | 13.2909i | −0.647983 | − | 0.470787i | 0.214600 | − | 0.976702i | \(-0.431155\pi\) |
−0.862584 | + | 0.505914i | \(0.831155\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −51.0289 | + | 37.0747i | −1.80527 | + | 1.31161i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −31.7137 | + | 23.0413i | −1.12055 | + | 0.814126i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −1.33195 | + | 4.09933i | −0.0470036 | + | 0.144662i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.90549 | + | 12.0199i | 0.137650 | + | 0.423644i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −9.76329 | − | 7.09345i | −0.343684 | − | 0.249701i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −0.0864554 | + | 0.266082i | −0.00303961 | + | 0.00935496i | −0.952565 | − | 0.304336i | \(-0.901566\pi\) |
0.949525 | + | 0.313691i | \(0.101566\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −32.1834 | −1.13011 | −0.565057 | − | 0.825052i | \(-0.691146\pi\) | ||||
−0.565057 | + | 0.825052i | \(0.691146\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −3.04303 | + | 2.21089i | −0.106724 | + | 0.0775392i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −10.2394 | − | 31.5137i | −0.358671 | − | 1.10388i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 8.88497 | 0.310846 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 22.7195 | 0.793885 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −52.4771 | −1.83146 | −0.915731 | − | 0.401791i | \(-0.868388\pi\) | ||||
−0.915731 | + | 0.401791i | \(0.868388\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 46.5553 | 1.62282 | 0.811408 | − | 0.584481i | \(-0.198702\pi\) | ||||
0.811408 | + | 0.584481i | \(0.198702\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 1.98102 | + | 6.09695i | 0.0689702 | + | 0.212269i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −9.94037 | + | 7.22210i | −0.345660 | + | 0.251137i | −0.747046 | − | 0.664772i | \(-0.768529\pi\) |
0.401386 | + | 0.915909i | \(0.368529\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 21.1899 | 0.735955 | 0.367977 | − | 0.929835i | \(-0.380050\pi\) | ||||
0.367977 | + | 0.929835i | \(0.380050\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −2.56030 | + | 7.87980i | −0.0888159 | + | 0.273347i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −4.54341 | − | 3.30098i | −0.157420 | − | 0.114372i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 9.00735 | + | 27.7218i | 0.311712 | + | 0.959351i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 3.18780 | − | 9.81105i | 0.110187 | − | 0.339120i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 14.2063 | − | 10.3215i | 0.490456 | − | 0.356337i | −0.314904 | − | 0.949124i | \(-0.601972\pi\) |
0.805360 | + | 0.592787i | \(0.201972\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1.17665 | + | 0.854886i | −0.0405741 | + | 0.0294788i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −8.04022 | − | 5.84156i | −0.276920 | − | 0.201194i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −5.34628 | + | 3.88430i | −0.183918 | + | 0.133624i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −13.6774 | −0.469962 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 6.08815 | + | 18.7374i | 0.208945 | + | 0.643066i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.574806 | + | 1.76907i | −0.0197041 | + | 0.0606429i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.71015 | + | 11.4187i | −0.127033 | + | 0.390968i | −0.994266 | − | 0.106935i | \(-0.965896\pi\) |
0.867233 | + | 0.497903i | \(0.165896\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 8.43658 | + | 6.12953i | 0.288525 | + | 0.209626i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 13.3615 | + | 41.1226i | 0.456421 | + | 1.40472i | 0.869458 | + | 0.494006i | \(0.164468\pi\) |
−0.413037 | + | 0.910714i | \(0.635532\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −29.8930 | − | 21.7185i | −1.01994 | − | 0.741027i | −0.0536661 | − | 0.998559i | \(-0.517091\pi\) |
−0.966270 | + | 0.257532i | \(0.917091\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 2.36959 | + | 12.3498i | 0.0807554 | + | 0.420881i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 0.233266 | + | 0.169478i | 0.00794048 | + | 0.00576910i | 0.591748 | − | 0.806123i | \(-0.298438\pi\) |
−0.583808 | + | 0.811892i | \(0.698438\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.25461 | + | 16.1720i | 0.178662 | + | 0.549866i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −11.7369 | − | 8.52738i | −0.398607 | − | 0.289605i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 2.57394 | − | 7.92178i | 0.0873150 | − | 0.268728i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −16.3044 | + | 50.1799i | −0.552455 | + | 1.70028i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 9.95251 | + | 30.6307i | 0.336841 | + | 1.03669i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −11.1304 | −0.376275 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 35.6186 | − | 25.8784i | 1.20276 | − | 0.873853i | 0.208202 | − | 0.978086i | \(-0.433239\pi\) |
0.994553 | + | 0.104233i | \(0.0332388\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −10.2226 | − | 7.42718i | −0.344801 | − | 0.250513i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 24.3049 | − | 17.6586i | 0.818854 | − | 0.594932i | −0.0975301 | − | 0.995233i | \(-0.531094\pi\) |
0.916384 | + | 0.400300i | \(0.131094\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 7.18443 | − | 5.21979i | 0.241775 | − | 0.175660i | −0.460299 | − | 0.887764i | \(-0.652258\pi\) |
0.702074 | + | 0.712104i | \(0.252258\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −8.62181 | + | 26.5352i | −0.289819 | + | 0.891971i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 14.2622 | + | 43.8945i | 0.478878 | + | 1.47383i | 0.840656 | + | 0.541569i | \(0.182170\pi\) |
−0.361778 | + | 0.932264i | \(0.617830\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −12.6898 | − | 9.21970i | −0.425603 | − | 0.309219i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 2.64631 | − | 8.14449i | 0.0886546 | − | 0.272851i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −16.1537 | −0.540563 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 18.7701 | − | 13.6373i | 0.627415 | − | 0.455843i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −1.70431 | − | 5.24533i | −0.0569053 | − | 0.175136i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −13.2987 | −0.443537 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 39.2498 | 1.30760 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 11.4881 | 0.382300 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 18.2754 | 0.607495 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −6.88585 | − | 21.1925i | −0.228641 | − | 0.703685i | −0.997902 | − | 0.0647495i | \(-0.979375\pi\) |
0.769261 | − | 0.638935i | \(-0.220625\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −14.2387 | + | 10.3450i | −0.472267 | + | 0.343122i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −28.8297 | −0.955170 | −0.477585 | − | 0.878585i | \(-0.658488\pi\) | ||||
−0.477585 | + | 0.878585i | \(0.658488\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −12.4358 | + | 38.2734i | −0.411564 | + | 1.26666i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 13.4448 | + | 9.76819i | 0.444470 | + | 0.322926i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 15.4359 | + | 47.5069i | 0.509739 | + | 1.56882i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 8.00969 | − | 24.6513i | 0.264215 | − | 0.813171i | −0.727658 | − | 0.685940i | \(-0.759391\pi\) |
0.991873 | − | 0.127231i | \(-0.0406090\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −12.1980 | + | 8.86239i | −0.401939 | + | 0.292026i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 19.6054 | − | 14.2441i | 0.645319 | − | 0.468852i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.93081 | + | 2.12936i | 0.0963643 | + | 0.0700128i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −17.5276 | + | 12.7346i | −0.575682 | + | 0.418258i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −1.69608 | −0.0556466 | −0.0278233 | − | 0.999613i | \(-0.508858\pi\) | ||||
−0.0278233 | + | 0.999613i | \(0.508858\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.444448 | − | 1.36787i | −0.0145662 | − | 0.0448301i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −3.49301 | + | 10.7504i | −0.114356 | + | 0.351952i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −12.4216 | + | 38.2297i | −0.406229 | + | 1.25024i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 10.9245 | + | 7.93711i | 0.356888 | + | 0.259294i | 0.751753 | − | 0.659445i | \(-0.229209\pi\) |
−0.394865 | + | 0.918739i | \(0.629209\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0.0433819 | + | 0.133516i | 0.00141571 | + | 0.00435712i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 16.7554 | + | 12.1735i | 0.546211 | + | 0.396846i | 0.826387 | − | 0.563103i | \(-0.190393\pi\) |
−0.280176 | + | 0.959949i | \(0.590393\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −9.91393 | + | 5.46409i | −0.322842 | + | 0.177935i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 24.7583 | + | 17.9880i | 0.805387 | + | 0.585148i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 7.28428 | + | 22.4187i | 0.236707 | + | 0.728510i | 0.996890 | + | 0.0788011i | \(0.0251092\pi\) |
−0.760183 | + | 0.649709i | \(0.774891\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −5.84272 | − | 4.24499i | −0.189663 | − | 0.137798i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −2.26943 | + | 6.98458i | −0.0735912 | + | 0.226490i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −2.99039 | + | 9.20346i | −0.0968681 | + | 0.298129i | −0.987736 | − | 0.156133i | \(-0.950097\pi\) |
0.890868 | + | 0.454262i | \(0.150097\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −18.1420 | − | 55.8353i | −0.587061 | − | 1.80679i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 10.2751 | 0.332147 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −13.3858 | + | 9.72533i | −0.432249 | + | 0.314047i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 20.3814 | + | 14.8079i | 0.657464 | + | 0.477675i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −6.58388 | + | 4.78347i | −0.212163 | + | 0.154145i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 9.14073 | − | 6.64113i | 0.294250 | − | 0.213785i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 0.925245 | − | 2.84761i | 0.0297539 | − | 0.0915730i | −0.935077 | − | 0.354445i | \(-0.884670\pi\) |
0.964831 | + | 0.262872i | \(0.0846697\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −2.22207 | − | 6.83881i | −0.0713830 | − | 0.219694i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 23.8526 | + | 17.3299i | 0.765467 | + | 0.556144i | 0.900582 | − | 0.434686i | \(-0.143141\pi\) |
−0.135116 | + | 0.990830i | \(0.543141\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.36945 | − | 22.6808i | 0.236254 | − | 0.727114i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −10.7413 | −0.343997 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 34.4568 | − | 25.0343i | 1.10237 | − | 0.800919i | 0.120925 | − | 0.992662i | \(-0.461414\pi\) |
0.981445 | + | 0.191743i | \(0.0614139\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −11.9583 | − | 36.8040i | −0.382190 | − | 1.17626i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −16.2572 | −0.519053 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 42.2266 | 1.34682 | 0.673410 | − | 0.739269i | \(-0.264829\pi\) | ||||
0.673410 | + | 0.739269i | \(0.264829\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 17.4846 | 0.557106 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −20.8864 | −0.664822 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 3.19569 | + | 9.83532i | 0.101617 | + | 0.312745i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 35.7990 | − | 26.0095i | 1.13719 | − | 0.826219i | 0.150467 | − | 0.988615i | \(-0.451922\pi\) |
0.986726 | + | 0.162396i | \(0.0519222\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −9.24903 | −0.293509 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 5.41972 | − | 16.6802i | 0.171817 | − | 0.528797i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 4.37403 | + | 3.17792i | 0.138527 | + | 0.100646i | 0.654891 | − | 0.755724i | \(-0.272715\pi\) |
−0.516364 | + | 0.856369i | \(0.672715\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 1.39185 | + | 4.28366i | 0.0440361 | + | 0.135529i |
(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 | 656.2.u.h.625.3 | 20 | ||
4.3 | odd | 2 | 328.2.m.c.297.3 | yes | 20 | ||
41.37 | even | 5 | inner | 656.2.u.h.529.3 | 20 | ||
164.119 | odd | 10 | 328.2.m.c.201.3 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
328.2.m.c.201.3 | ✓ | 20 | 164.119 | odd | 10 | ||
328.2.m.c.297.3 | yes | 20 | 4.3 | odd | 2 | ||
656.2.u.h.529.3 | 20 | 41.37 | even | 5 | inner | ||
656.2.u.h.625.3 | 20 | 1.1 | even | 1 | trivial |