Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1805,2,Mod(1084,1805)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1805, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1805.1084");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1805 = 5 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1805.b (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: | \(14.4129975648\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.16516096.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} + 9x^{4} + 13x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 95) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 1084.6 | ||
Root | \(-1.30397i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1805.1084 |
Dual form | 1805.2.b.e.1084.1 |
$q$-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 \(\left(\mathbb{Z}/1805\mathbb{Z}\right)^\times\).
\(n\) | \(362\) | \(1446\) |
\(\chi(n)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.41987i | 1.71111i | 0.517715 | + | 0.855553i | \(0.326783\pi\) | ||||
−0.517715 | + | 0.855553i | \(0.673217\pi\) | |||||||
\(3\) | 0.537080i | 0.310083i | 0.987908 | + | 0.155042i | \(0.0495512\pi\) | ||||
−0.987908 | + | 0.155042i | \(0.950449\pi\) | |||||||
\(4\) | −3.85577 | −1.92789 | ||||||||
\(5\) | −2.07772 | + | 0.826491i | −0.929184 | + | 0.369618i | ||||
\(6\) | −1.29966 | −0.530586 | ||||||||
\(7\) | − | 3.18676i | − | 1.20448i | −0.798314 | − | 0.602241i | \(-0.794275\pi\) | ||
0.798314 | − | 0.602241i | \(-0.205725\pi\) | |||||||
\(8\) | − | 4.49073i | − | 1.58771i | ||||||
\(9\) | 2.71155 | 0.903848 | ||||||||
\(10\) | −2.00000 | − | 5.02781i | −0.632456 | − | 1.58993i | ||||
\(11\) | 4.15544 | 1.25291 | 0.626456 | − | 0.779457i | \(-0.284505\pi\) | ||||
0.626456 | + | 0.779457i | \(0.284505\pi\) | |||||||
\(12\) | − | 2.07086i | − | 0.597805i | ||||||
\(13\) | 2.07086i | 0.574353i | 0.957878 | + | 0.287176i | \(0.0927166\pi\) | ||||
−0.957878 | + | 0.287176i | \(0.907283\pi\) | |||||||
\(14\) | 7.71155 | 2.06100 | ||||||||
\(15\) | −0.443892 | − | 1.11590i | −0.114612 | − | 0.288124i | ||||
\(16\) | 3.15544 | 0.788859 | ||||||||
\(17\) | 5.79470i | 1.40542i | 0.711476 | + | 0.702710i | \(0.248027\pi\) | ||||
−0.711476 | + | 0.702710i | \(0.751973\pi\) | |||||||
\(18\) | 6.56159i | 1.54658i | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 8.01121 | − | 3.18676i | 1.79136 | − | 0.712581i | ||||
\(21\) | 1.71155 | 0.373490 | ||||||||
\(22\) | 10.0556i | 2.14386i | ||||||||
\(23\) | 2.60794i | 0.543793i | 0.962327 | + | 0.271896i | \(0.0876508\pi\) | ||||
−0.962327 | + | 0.271896i | \(0.912349\pi\) | |||||||
\(24\) | 2.41188 | 0.492323 | ||||||||
\(25\) | 3.63383 | − | 3.43443i | 0.726765 | − | 0.686886i | ||||
\(26\) | −5.01121 | −0.982779 | ||||||||
\(27\) | 3.06756i | 0.590352i | ||||||||
\(28\) | 12.2874i | 2.32210i | ||||||||
\(29\) | 6.00000 | 1.11417 | 0.557086 | − | 0.830455i | \(-0.311919\pi\) | ||||
0.557086 | + | 0.830455i | \(0.311919\pi\) | |||||||
\(30\) | 2.70034 | − | 1.07416i | 0.493012 | − | 0.196114i | ||||
\(31\) | −2.59933 | −0.466853 | −0.233427 | − | 0.972374i | \(-0.574994\pi\) | ||||
−0.233427 | + | 0.972374i | \(0.574994\pi\) | |||||||
\(32\) | − | 1.34571i | − | 0.237890i | ||||||
\(33\) | 2.23180i | 0.388507i | ||||||||
\(34\) | −14.0224 | −2.40482 | ||||||||
\(35\) | 2.63383 | + | 6.62119i | 0.445198 | + | 1.11919i | ||||
\(36\) | −10.4551 | −1.74252 | ||||||||
\(37\) | − | 4.30266i | − | 0.707353i | −0.935368 | − | 0.353677i | \(-0.884931\pi\) | ||
0.935368 | − | 0.353677i | \(-0.115069\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.11222 | −0.178097 | ||||||||
\(40\) | 3.71155 | + | 9.33047i | 0.586847 | + | 1.47528i | ||||
\(41\) | 0.599328 | 0.0935993 | 0.0467997 | − | 0.998904i | \(-0.485098\pi\) | ||||
0.0467997 | + | 0.998904i | \(0.485098\pi\) | |||||||
\(42\) | 4.14172i | 0.639081i | ||||||||
\(43\) | − | 3.18676i | − | 0.485976i | −0.970029 | − | 0.242988i | \(-0.921872\pi\) | ||
0.970029 | − | 0.242988i | \(-0.0781276\pi\) | |||||||
\(44\) | −16.0224 | −2.41547 | ||||||||
\(45\) | −5.63383 | + | 2.24107i | −0.839841 | + | 0.334078i | ||||
\(46\) | −6.31087 | −0.930487 | ||||||||
\(47\) | 11.7086i | 1.70787i | 0.520376 | + | 0.853937i | \(0.325792\pi\) | ||||
−0.520376 | + | 0.853937i | \(0.674208\pi\) | |||||||
\(48\) | 1.69472i | 0.244612i | ||||||||
\(49\) | −3.15544 | −0.450777 | ||||||||
\(50\) | 8.31087 | + | 8.79339i | 1.17533 | + | 1.24357i | ||||
\(51\) | −3.11222 | −0.435798 | ||||||||
\(52\) | − | 7.98476i | − | 1.10729i | ||||||
\(53\) | 11.7503i | 1.61403i | 0.590529 | + | 0.807017i | \(0.298919\pi\) | ||||
−0.590529 | + | 0.807017i | \(0.701081\pi\) | |||||||
\(54\) | −7.42309 | −1.01015 | ||||||||
\(55\) | −8.63383 | + | 3.43443i | −1.16418 | + | 0.463098i | ||||
\(56\) | −14.3109 | −1.91237 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 14.5192i | 1.90647i | ||||||||
\(59\) | −1.71155 | −0.222824 | −0.111412 | − | 0.993774i | \(-0.535537\pi\) | ||||
−0.111412 | + | 0.993774i | \(0.535537\pi\) | |||||||
\(60\) | 1.71155 | + | 4.30266i | 0.220960 | + | 0.555471i | ||||
\(61\) | −8.75476 | −1.12093 | −0.560466 | − | 0.828177i | \(-0.689378\pi\) | ||||
−0.560466 | + | 0.828177i | \(0.689378\pi\) | |||||||
\(62\) | − | 6.29004i | − | 0.798836i | ||||||
\(63\) | − | 8.64104i | − | 1.08867i | ||||||
\(64\) | 9.56732 | 1.19591 | ||||||||
\(65\) | −1.71155 | − | 4.30266i | −0.212291 | − | 0.533679i | ||||
\(66\) | −5.40067 | −0.664777 | ||||||||
\(67\) | − | 4.76228i | − | 0.581805i | −0.956753 | − | 0.290902i | \(-0.906044\pi\) | ||
0.956753 | − | 0.290902i | \(-0.0939555\pi\) | |||||||
\(68\) | − | 22.3430i | − | 2.70949i | ||||||
\(69\) | −1.40067 | −0.168621 | ||||||||
\(70\) | −16.0224 | + | 6.37352i | −1.91505 | + | 0.761781i | ||||
\(71\) | −13.7115 | −1.62726 | −0.813631 | − | 0.581382i | \(-0.802512\pi\) | ||||
−0.813631 | + | 0.581382i | \(0.802512\pi\) | |||||||
\(72\) | − | 12.1768i | − | 1.43505i | ||||||
\(73\) | 2.72714i | 0.319188i | 0.987183 | + | 0.159594i | \(0.0510185\pi\) | ||||
−0.987183 | + | 0.159594i | \(0.948982\pi\) | |||||||
\(74\) | 10.4119 | 1.21036 | ||||||||
\(75\) | 1.84456 | + | 1.95166i | 0.212992 | + | 0.225358i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | − | 13.2424i | − | 1.50911i | ||||||
\(78\) | − | 2.69142i | − | 0.304743i | ||||||
\(79\) | −1.40067 | −0.157588 | −0.0787939 | − | 0.996891i | \(-0.525107\pi\) | ||||
−0.0787939 | + | 0.996891i | \(0.525107\pi\) | |||||||
\(80\) | −6.55611 | + | 2.60794i | −0.732995 | + | 0.291576i | ||||
\(81\) | 6.48711 | 0.720790 | ||||||||
\(82\) | 1.45030i | 0.160158i | ||||||||
\(83\) | 7.07154i | 0.776203i | 0.921617 | + | 0.388101i | \(0.126869\pi\) | ||||
−0.921617 | + | 0.388101i | \(0.873131\pi\) | |||||||
\(84\) | −6.59933 | −0.720046 | ||||||||
\(85\) | −4.78926 | − | 12.0398i | −0.519469 | − | 1.30589i | ||||
\(86\) | 7.71155 | 0.831557 | ||||||||
\(87\) | 3.22248i | 0.345486i | ||||||||
\(88\) | − | 18.6609i | − | 1.98926i | ||||||
\(89\) | 16.5353 | 1.75274 | 0.876370 | − | 0.481639i | \(-0.159958\pi\) | ||||
0.876370 | + | 0.481639i | \(0.159958\pi\) | |||||||
\(90\) | −5.42309 | − | 13.6331i | −0.571644 | − | 1.43706i | ||||
\(91\) | 6.59933 | 0.691798 | ||||||||
\(92\) | − | 10.0556i | − | 1.04837i | ||||||
\(93\) | − | 1.39605i | − | 0.144763i | ||||||
\(94\) | −28.3333 | −2.92236 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0.722754 | 0.0737658 | ||||||||
\(97\) | − | 2.07086i | − | 0.210264i | −0.994458 | − | 0.105132i | \(-0.966474\pi\) | ||
0.994458 | − | 0.105132i | \(-0.0335265\pi\) | |||||||
\(98\) | − | 7.63575i | − | 0.771327i | ||||||
\(99\) | 11.2677 | 1.13244 | ||||||||
\(100\) | −14.0112 | + | 13.2424i | −1.40112 | + | 1.32424i | ||||
\(101\) | −1.71155 | −0.170305 | −0.0851525 | − | 0.996368i | \(-0.527138\pi\) | ||||
−0.0851525 | + | 0.996368i | \(0.527138\pi\) | |||||||
\(102\) | − | 7.53116i | − | 0.745696i | ||||||
\(103\) | 5.75296i | 0.566856i | 0.958994 | + | 0.283428i | \(0.0914716\pi\) | ||||
−0.958994 | + | 0.283428i | \(0.908528\pi\) | |||||||
\(104\) | 9.29966 | 0.911907 | ||||||||
\(105\) | −3.55611 | + | 1.41458i | −0.347041 | + | 0.138048i | ||||
\(106\) | −28.4343 | −2.76178 | ||||||||
\(107\) | 15.4324i | 1.49191i | 0.665996 | + | 0.745955i | \(0.268007\pi\) | ||||
−0.665996 | + | 0.745955i | \(0.731993\pi\) | |||||||
\(108\) | − | 11.8278i | − | 1.13813i | ||||||
\(109\) | 11.7115 | 1.12176 | 0.560881 | − | 0.827896i | \(-0.310462\pi\) | ||||
0.560881 | + | 0.827896i | \(0.310462\pi\) | |||||||
\(110\) | −8.31087 | − | 20.8927i | −0.792411 | − | 1.99204i | ||||
\(111\) | 2.31087 | 0.219338 | ||||||||
\(112\) | − | 10.0556i | − | 0.950167i | ||||||
\(113\) | − | 10.5927i | − | 0.996477i | −0.867040 | − | 0.498239i | \(-0.833980\pi\) | ||
0.867040 | − | 0.498239i | \(-0.166020\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.15544 | − | 5.41856i | −0.200996 | − | 0.505283i | ||||
\(116\) | −23.1346 | −2.14800 | ||||||||
\(117\) | 5.61523i | 0.519128i | ||||||||
\(118\) | − | 4.14172i | − | 0.381276i | ||||||
\(119\) | 18.4663 | 1.69280 | ||||||||
\(120\) | −5.01121 | + | 1.99340i | −0.457459 | + | 0.181971i | ||||
\(121\) | 6.26765 | 0.569787 | ||||||||
\(122\) | − | 21.1854i | − | 1.91804i | ||||||
\(123\) | 0.321887i | 0.0290236i | ||||||||
\(124\) | 10.0224 | 0.900040 | ||||||||
\(125\) | −4.71155 | + | 10.1391i | −0.421413 | + | 0.906869i | ||||
\(126\) | 20.9102 | 1.86283 | ||||||||
\(127\) | 6.07484i | 0.539055i | 0.962993 | + | 0.269528i | \(0.0868676\pi\) | ||||
−0.962993 | + | 0.269528i | \(0.913132\pi\) | |||||||
\(128\) | 20.4602i | 1.80845i | ||||||||
\(129\) | 1.71155 | 0.150693 | ||||||||
\(130\) | 10.4119 | − | 4.14172i | 0.913182 | − | 0.363253i | ||||
\(131\) | −13.5785 | −1.18636 | −0.593181 | − | 0.805069i | \(-0.702128\pi\) | ||||
−0.593181 | + | 0.805069i | \(0.702128\pi\) | |||||||
\(132\) | − | 8.60532i | − | 0.748997i | ||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 11.5241 | 0.995530 | ||||||||
\(135\) | −2.53531 | − | 6.37352i | −0.218204 | − | 0.548545i | ||||
\(136\) | 26.0224 | 2.23140 | ||||||||
\(137\) | − | 7.94302i | − | 0.678618i | −0.940675 | − | 0.339309i | \(-0.889807\pi\) | ||
0.940675 | − | 0.339309i | \(-0.110193\pi\) | |||||||
\(138\) | − | 3.38944i | − | 0.288529i | ||||||
\(139\) | −3.26765 | −0.277159 | −0.138579 | − | 0.990351i | \(-0.544254\pi\) | ||||
−0.138579 | + | 0.990351i | \(0.544254\pi\) | |||||||
\(140\) | −10.1554 | − | 25.5298i | −0.858291 | − | 2.15766i | ||||
\(141\) | −6.28845 | −0.529583 | ||||||||
\(142\) | − | 33.1802i | − | 2.78442i | ||||||
\(143\) | 8.60532i | 0.719613i | ||||||||
\(144\) | 8.55611 | 0.713009 | ||||||||
\(145\) | −12.4663 | + | 4.95894i | −1.03527 | + | 0.411818i | ||||
\(146\) | −6.59933 | −0.546164 | ||||||||
\(147\) | − | 1.69472i | − | 0.139778i | ||||||
\(148\) | 16.5901i | 1.36370i | ||||||||
\(149\) | −8.44389 | −0.691751 | −0.345875 | − | 0.938280i | \(-0.612418\pi\) | ||||
−0.345875 | + | 0.938280i | \(0.612418\pi\) | |||||||
\(150\) | −4.72275 | + | 4.46360i | −0.385611 | + | 0.364452i | ||||
\(151\) | −0.887783 | −0.0722468 | −0.0361234 | − | 0.999347i | \(-0.511501\pi\) | ||||
−0.0361234 | + | 0.999347i | \(0.511501\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 15.7126i | 1.27029i | ||||||||
\(154\) | 32.0448 | 2.58225 | ||||||||
\(155\) | 5.40067 | − | 2.14832i | 0.433792 | − | 0.172557i | ||||
\(156\) | 4.28845 | 0.343351 | ||||||||
\(157\) | 4.14172i | 0.330545i | 0.986248 | + | 0.165273i | \(0.0528504\pi\) | ||||
−0.986248 | + | 0.165273i | \(0.947150\pi\) | |||||||
\(158\) | − | 3.38944i | − | 0.269650i | ||||||
\(159\) | −6.31087 | −0.500485 | ||||||||
\(160\) | 1.11222 | + | 2.79601i | 0.0879285 | + | 0.221044i | ||||
\(161\) | 8.31087 | 0.654989 | ||||||||
\(162\) | 15.6980i | 1.23335i | ||||||||
\(163\) | 24.7126i | 1.93564i | 0.251647 | + | 0.967819i | \(0.419028\pi\) | ||||
−0.251647 | + | 0.967819i | \(0.580972\pi\) | |||||||
\(164\) | −2.31087 | −0.180449 | ||||||||
\(165\) | −1.84456 | − | 4.63706i | −0.143599 | − | 0.360994i | ||||
\(166\) | −17.1122 | −1.32817 | ||||||||
\(167\) | 3.60464i | 0.278935i | 0.990227 | + | 0.139468i | \(0.0445391\pi\) | ||||
−0.990227 | + | 0.139468i | \(0.955461\pi\) | |||||||
\(168\) | − | 7.68608i | − | 0.592994i | ||||||
\(169\) | 8.71155 | 0.670119 | ||||||||
\(170\) | 29.1346 | − | 11.5894i | 2.23452 | − | 0.888866i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 12.2874i | 0.936907i | ||||||||
\(173\) | − | 22.4205i | − | 1.70460i | −0.523054 | − | 0.852300i | \(-0.675207\pi\) | ||
0.523054 | − | 0.852300i | \(-0.324793\pi\) | |||||||
\(174\) | −7.79798 | −0.591164 | ||||||||
\(175\) | −10.9447 | − | 11.5801i | −0.827342 | − | 0.875376i | ||||
\(176\) | 13.1122 | 0.988371 | ||||||||
\(177\) | − | 0.919237i | − | 0.0690941i | ||||||
\(178\) | 40.0133i | 2.99912i | ||||||||
\(179\) | −5.13464 | −0.383781 | −0.191890 | − | 0.981416i | \(-0.561462\pi\) | ||||
−0.191890 | + | 0.981416i | \(0.561462\pi\) | |||||||
\(180\) | 21.7228 | − | 8.64104i | 1.61912 | − | 0.644065i | ||||
\(181\) | −20.8462 | −1.54948 | −0.774742 | − | 0.632277i | \(-0.782120\pi\) | ||||
−0.774742 | + | 0.632277i | \(0.782120\pi\) | |||||||
\(182\) | 15.9695i | 1.18374i | ||||||||
\(183\) | − | 4.70201i | − | 0.347583i | ||||||
\(184\) | 11.7115 | 0.863387 | ||||||||
\(185\) | 3.55611 | + | 8.93972i | 0.261450 | + | 0.657261i | ||||
\(186\) | 3.37825 | 0.247706 | ||||||||
\(187\) | 24.0795i | 1.76087i | ||||||||
\(188\) | − | 45.1457i | − | 3.29259i | ||||||
\(189\) | 9.77557 | 0.711068 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −5.26765 | −0.381154 | −0.190577 | − | 0.981672i | \(-0.561036\pi\) | ||||
−0.190577 | + | 0.981672i | \(0.561036\pi\) | |||||||
\(192\) | 5.13842i | 0.370833i | ||||||||
\(193\) | 2.07086i | 0.149064i | 0.997219 | + | 0.0745318i | \(0.0237462\pi\) | ||||
−0.997219 | + | 0.0745318i | \(0.976254\pi\) | |||||||
\(194\) | 5.01121 | 0.359784 | ||||||||
\(195\) | 2.31087 | − | 0.919237i | 0.165485 | − | 0.0658279i | ||||
\(196\) | 12.1666 | 0.869046 | ||||||||
\(197\) | 10.4318i | 0.743232i | 0.928387 | + | 0.371616i | \(0.121196\pi\) | ||||
−0.928387 | + | 0.371616i | \(0.878804\pi\) | |||||||
\(198\) | 27.2663i | 1.93773i | ||||||||
\(199\) | 2.73235 | 0.193691 | 0.0968455 | − | 0.995299i | \(-0.469125\pi\) | ||||
0.0968455 | + | 0.995299i | \(0.469125\pi\) | |||||||
\(200\) | −15.4231 | − | 16.3185i | −1.09058 | − | 1.15389i | ||||
\(201\) | 2.55773 | 0.180408 | ||||||||
\(202\) | − | 4.14172i | − | 0.291410i | ||||||
\(203\) | − | 19.1206i | − | 1.34200i | ||||||
\(204\) | 12.0000 | 0.840168 | ||||||||
\(205\) | −1.24524 | + | 0.495339i | −0.0869710 | + | 0.0345960i | ||||
\(206\) | −13.9214 | −0.969951 | ||||||||
\(207\) | 7.07154i | 0.491506i | ||||||||
\(208\) | 6.53446i | 0.453083i | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −3.42309 | − | 8.60532i | −0.236216 | − | 0.593824i | ||||
\(211\) | 15.7340 | 1.08317 | 0.541585 | − | 0.840646i | \(-0.317824\pi\) | ||||
0.541585 | + | 0.840646i | \(0.317824\pi\) | |||||||
\(212\) | − | 45.3066i | − | 3.11167i | ||||||
\(213\) | − | 7.36420i | − | 0.504586i | ||||||
\(214\) | −37.3445 | −2.55282 | ||||||||
\(215\) | 2.63383 | + | 6.62119i | 0.179625 | + | 0.451561i | ||||
\(216\) | 13.7756 | 0.937309 | ||||||||
\(217\) | 8.28343i | 0.562316i | ||||||||
\(218\) | 28.3404i | 1.91946i | ||||||||
\(219\) | −1.46469 | −0.0989748 | ||||||||
\(220\) | 33.2901 | − | 13.2424i | 2.24442 | − | 0.892801i | ||||
\(221\) | −12.0000 | −0.807207 | ||||||||
\(222\) | 5.59201i | 0.375311i | ||||||||
\(223\) | 18.8219i | 1.26041i | 0.776430 | + | 0.630203i | \(0.217028\pi\) | ||||
−0.776430 | + | 0.630203i | \(0.782972\pi\) | |||||||
\(224\) | −4.28845 | −0.286534 | ||||||||
\(225\) | 9.85328 | − | 9.31261i | 0.656886 | − | 0.620841i | ||||
\(226\) | 25.6330 | 1.70508 | ||||||||
\(227\) | 14.4418i | 0.958533i | 0.877669 | + | 0.479267i | \(0.159097\pi\) | ||||
−0.877669 | + | 0.479267i | \(0.840903\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.17785 | 0.276080 | 0.138040 | − | 0.990427i | \(-0.455920\pi\) | ||||
0.138040 | + | 0.990427i | \(0.455920\pi\) | |||||||
\(230\) | 13.1122 | − | 5.21588i | 0.864594 | − | 0.343925i | ||||
\(231\) | 7.11222 | 0.467950 | ||||||||
\(232\) | − | 26.9444i | − | 1.76898i | ||||||
\(233\) | − | 12.0847i | − | 0.791697i | −0.918316 | − | 0.395849i | \(-0.870450\pi\) | ||
0.918316 | − | 0.395849i | \(-0.129550\pi\) | |||||||
\(234\) | −13.5881 | −0.888283 | ||||||||
\(235\) | −9.67705 | − | 24.3272i | −0.631261 | − | 1.58693i | ||||
\(236\) | 6.59933 | 0.429580 | ||||||||
\(237\) | − | 0.752273i | − | 0.0488654i | ||||||
\(238\) | 44.6861i | 2.89657i | ||||||||
\(239\) | 11.3541 | 0.734435 | 0.367218 | − | 0.930135i | \(-0.380310\pi\) | ||||
0.367218 | + | 0.930135i | \(0.380310\pi\) | |||||||
\(240\) | −1.40067 | − | 3.52116i | −0.0904130 | − | 0.227290i | ||||
\(241\) | 3.40067 | 0.219057 | 0.109528 | − | 0.993984i | \(-0.465066\pi\) | ||||
0.109528 | + | 0.993984i | \(0.465066\pi\) | |||||||
\(242\) | 15.1669i | 0.974966i | ||||||||
\(243\) | 12.6868i | 0.813857i | ||||||||
\(244\) | 33.7564 | 2.16103 | ||||||||
\(245\) | 6.55611 | − | 2.60794i | 0.418854 | − | 0.166615i | ||||
\(246\) | −0.778925 | −0.0496625 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 11.6729i | 0.741229i | ||||||||
\(249\) | −3.79798 | −0.240687 | ||||||||
\(250\) | −24.5353 | − | 11.4013i | −1.55175 | − | 0.721083i | ||||
\(251\) | 3.04322 | 0.192086 | 0.0960432 | − | 0.995377i | \(-0.469381\pi\) | ||||
0.0960432 | + | 0.995377i | \(0.469381\pi\) | |||||||
\(252\) | 33.3179i | 2.09883i | ||||||||
\(253\) | 10.8371i | 0.681324i | ||||||||
\(254\) | −14.7003 | −0.922381 | ||||||||
\(255\) | 6.46631 | − | 2.57222i | 0.404936 | − | 0.161079i | ||||
\(256\) | −30.3765 | −1.89853 | ||||||||
\(257\) | − | 17.2881i | − | 1.07840i | −0.842177 | − | 0.539201i | \(-0.818726\pi\) | ||
0.842177 | − | 0.539201i | \(-0.181274\pi\) | |||||||
\(258\) | 4.14172i | 0.257852i | ||||||||
\(259\) | −13.7115 | −0.851994 | ||||||||
\(260\) | 6.59933 | + | 16.5901i | 0.409273 | + | 1.02887i | ||||
\(261\) | 16.2693 | 1.00704 | ||||||||
\(262\) | − | 32.8583i | − | 2.02999i | ||||||
\(263\) | 1.19336i | 0.0735859i | 0.999323 | + | 0.0367930i | \(0.0117142\pi\) | ||||
−0.999323 | + | 0.0367930i | \(0.988286\pi\) | |||||||
\(264\) | 10.0224 | 0.616837 | ||||||||
\(265\) | −9.71155 | − | 24.4139i | −0.596575 | − | 1.49973i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 8.88078i | 0.543495i | ||||||||
\(268\) | 18.3623i | 1.12165i | ||||||||
\(269\) | 22.1089 | 1.34800 | 0.674000 | − | 0.738731i | \(-0.264575\pi\) | ||||
0.674000 | + | 0.738731i | \(0.264575\pi\) | |||||||
\(270\) | 15.4231 | − | 6.13511i | 0.938619 | − | 0.373371i | ||||
\(271\) | −4.08644 | −0.248234 | −0.124117 | − | 0.992268i | \(-0.539610\pi\) | ||||
−0.124117 | + | 0.992268i | \(0.539610\pi\) | |||||||
\(272\) | 18.2848i | 1.10868i | ||||||||
\(273\) | 3.54437i | 0.214515i | ||||||||
\(274\) | 19.2211 | 1.16119 | ||||||||
\(275\) | 15.1001 | − | 14.2716i | 0.910572 | − | 0.860607i | ||||
\(276\) | 5.40067 | 0.325082 | ||||||||
\(277\) | − | 10.0199i | − | 0.602037i | −0.953618 | − | 0.301019i | \(-0.902673\pi\) | ||
0.953618 | − | 0.301019i | \(-0.0973266\pi\) | |||||||
\(278\) | − | 7.90730i | − | 0.474248i | ||||||
\(279\) | −7.04820 | −0.421964 | ||||||||
\(280\) | 29.7340 | − | 11.8278i | 1.77694 | − | 0.706846i | ||||
\(281\) | −0.599328 | −0.0357529 | −0.0178765 | − | 0.999840i | \(-0.505691\pi\) | ||||
−0.0178765 | + | 0.999840i | \(0.505691\pi\) | |||||||
\(282\) | − | 15.2172i | − | 0.906174i | ||||||
\(283\) | − | 5.41856i | − | 0.322100i | −0.986946 | − | 0.161050i | \(-0.948512\pi\) | ||
0.986946 | − | 0.161050i | \(-0.0514880\pi\) | |||||||
\(284\) | 52.8686 | 3.13717 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −20.8238 | −1.23133 | ||||||||
\(287\) | − | 1.90991i | − | 0.112739i | ||||||
\(288\) | − | 3.64895i | − | 0.215017i | ||||||
\(289\) | −16.5785 | −0.975207 | ||||||||
\(290\) | −12.0000 | − | 30.1669i | −0.704664 | − | 1.77146i | ||||
\(291\) | 1.11222 | 0.0651993 | ||||||||
\(292\) | − | 10.5152i | − | 0.615358i | ||||||
\(293\) | 3.46691i | 0.202539i | 0.994859 | + | 0.101269i | \(0.0322904\pi\) | ||||
−0.994859 | + | 0.101269i | \(0.967710\pi\) | |||||||
\(294\) | 4.10101 | 0.239176 | ||||||||
\(295\) | 3.55611 | − | 1.41458i | 0.207045 | − | 0.0823598i | ||||
\(296\) | −19.3221 | −1.12307 | ||||||||
\(297\) | 12.7470i | 0.739658i | ||||||||
\(298\) | − | 20.4331i | − | 1.18366i | ||||||
\(299\) | −5.40067 | −0.312329 | ||||||||
\(300\) | −7.11222 | − | 7.52514i | −0.410624 | − | 0.434464i | ||||
\(301\) | −10.1554 | −0.585350 | ||||||||
\(302\) | − | 2.14832i | − | 0.123622i | ||||||
\(303\) | − | 0.919237i | − | 0.0528088i | ||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 18.1899 | − | 7.23573i | 1.04155 | − | 0.414317i | ||||
\(306\) | −38.0224 | −2.17360 | ||||||||
\(307\) | 16.5901i | 0.946846i | 0.880835 | + | 0.473423i | \(0.156982\pi\) | ||||
−0.880835 | + | 0.473423i | \(0.843018\pi\) | |||||||
\(308\) | 51.0596i | 2.90939i | ||||||||
\(309\) | −3.08980 | −0.175772 | ||||||||
\(310\) | 5.19866 | + | 13.0689i | 0.295264 | + | 0.742265i | ||||
\(311\) | −4.15544 | −0.235633 | −0.117817 | − | 0.993035i | \(-0.537589\pi\) | ||||
−0.117817 | + | 0.993035i | \(0.537589\pi\) | |||||||
\(312\) | 4.99466i | 0.282767i | ||||||||
\(313\) | 0.919237i | 0.0519583i | 0.999662 | + | 0.0259792i | \(0.00827036\pi\) | ||||
−0.999662 | + | 0.0259792i | \(0.991730\pi\) | |||||||
\(314\) | −10.0224 | −0.565598 | ||||||||
\(315\) | 7.14174 | + | 17.9537i | 0.402391 | + | 1.01157i | ||||
\(316\) | 5.40067 | 0.303812 | ||||||||
\(317\) | 26.7292i | 1.50126i | 0.660723 | + | 0.750630i | \(0.270250\pi\) | ||||
−0.660723 | + | 0.750630i | \(0.729750\pi\) | |||||||
\(318\) | − | 15.2715i | − | 0.856383i | ||||||
\(319\) | 24.9326 | 1.39596 | ||||||||
\(320\) | −19.8782 | + | 7.90730i | −1.11122 | + | 0.442031i | ||||
\(321\) | −8.28845 | −0.462616 | ||||||||
\(322\) | 20.1112i | 1.12076i | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −25.0128 | −1.38960 | ||||||||
\(325\) | 7.11222 | + | 7.52514i | 0.394515 | + | 0.417420i | ||||
\(326\) | −59.8012 | −3.31208 | ||||||||
\(327\) | 6.29004i | 0.347840i | ||||||||
\(328\) | − | 2.69142i | − | 0.148609i | ||||||
\(329\) | 37.3125 | 2.05710 | ||||||||
\(330\) | 11.2211 | − | 4.46360i | 0.617700 | − | 0.245713i | ||||
\(331\) | −8.00000 | −0.439720 | −0.219860 | − | 0.975531i | \(-0.570560\pi\) | ||||
−0.219860 | + | 0.975531i | \(0.570560\pi\) | |||||||
\(332\) | − | 27.2663i | − | 1.49643i | ||||||
\(333\) | − | 11.6669i | − | 0.639340i | ||||||
\(334\) | −8.72275 | −0.477288 | ||||||||
\(335\) | 3.93598 | + | 9.89467i | 0.215045 | + | 0.540604i | ||||
\(336\) | 5.40067 | 0.294631 | ||||||||
\(337\) | − | 22.5040i | − | 1.22587i | −0.790133 | − | 0.612935i | \(-0.789989\pi\) | ||
0.790133 | − | 0.612935i | \(-0.210011\pi\) | |||||||
\(338\) | 21.0808i | 1.14664i | ||||||||
\(339\) | 5.68913 | 0.308991 | ||||||||
\(340\) | 18.4663 | + | 46.4225i | 1.00148 | + | 2.51762i | ||||
\(341\) | −10.8013 | −0.584926 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 12.2517i | − | 0.661530i | ||||||
\(344\) | −14.3109 | −0.771591 | ||||||||
\(345\) | 2.91020 | − | 1.15764i | 0.156680 | − | 0.0623254i | ||||
\(346\) | 54.2547 | 2.91675 | ||||||||
\(347\) | − | 14.4543i | − | 0.775946i | −0.921671 | − | 0.387973i | \(-0.873175\pi\) | ||
0.921671 | − | 0.387973i | \(-0.126825\pi\) | |||||||
\(348\) | − | 12.4252i | − | 0.666058i | ||||||
\(349\) | 13.3541 | 0.714828 | 0.357414 | − | 0.933946i | \(-0.383658\pi\) | ||||
0.357414 | + | 0.933946i | \(0.383658\pi\) | |||||||
\(350\) | 28.0224 | − | 26.4848i | 1.49786 | − | 1.41567i | ||||
\(351\) | −6.35248 | −0.339070 | ||||||||
\(352\) | − | 5.59201i | − | 0.298055i | ||||||
\(353\) | − | 17.6410i | − | 0.938937i | −0.882949 | − | 0.469469i | \(-0.844446\pi\) | ||
0.882949 | − | 0.469469i | \(-0.155554\pi\) | |||||||
\(354\) | 2.22443 | 0.118227 | ||||||||
\(355\) | 28.4887 | − | 11.3325i | 1.51202 | − | 0.601465i | ||||
\(356\) | −63.7564 | −3.37908 | ||||||||
\(357\) | 9.91789i | 0.524910i | ||||||||
\(358\) | − | 12.4252i | − | 0.656690i | ||||||
\(359\) | −12.4663 | −0.657947 | −0.328973 | − | 0.944339i | \(-0.606703\pi\) | ||||
−0.328973 | + | 0.944339i | \(0.606703\pi\) | |||||||
\(360\) | 10.0640 | + | 25.3000i | 0.530420 | + | 1.33343i | ||||
\(361\) | 0 | 0 | ||||||||
\(362\) | − | 50.4451i | − | 2.65133i | ||||||
\(363\) | 3.36623i | 0.176681i | ||||||||
\(364\) | −25.4455 | −1.33371 | ||||||||
\(365\) | −2.25396 | − | 5.66623i | −0.117977 | − | 0.296584i | ||||
\(366\) | 11.3783 | 0.594751 | ||||||||
\(367\) | − | 16.4291i | − | 0.857594i | −0.903401 | − | 0.428797i | \(-0.858938\pi\) | ||
0.903401 | − | 0.428797i | \(-0.141062\pi\) | |||||||
\(368\) | 8.22918i | 0.428976i | ||||||||
\(369\) | 1.62511 | 0.0845996 | ||||||||
\(370\) | −21.6330 | + | 8.60532i | −1.12464 | + | 0.447369i | ||||
\(371\) | 37.4455 | 1.94407 | ||||||||
\(372\) | 5.38284i | 0.279087i | ||||||||
\(373\) | − | 5.29334i | − | 0.274079i | −0.990566 | − | 0.137039i | \(-0.956241\pi\) | ||
0.990566 | − | 0.137039i | \(-0.0437587\pi\) | |||||||
\(374\) | −58.2693 | −3.01303 | ||||||||
\(375\) | −5.44551 | − | 2.53048i | −0.281205 | − | 0.130673i | ||||
\(376\) | 52.5801 | 2.71161 | ||||||||
\(377\) | 12.4252i | 0.639928i | ||||||||
\(378\) | 23.6556i | 1.21671i | ||||||||
\(379\) | 14.5353 | 0.746629 | 0.373314 | − | 0.927705i | \(-0.378221\pi\) | ||||
0.373314 | + | 0.927705i | \(0.378221\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.26268 | −0.167152 | ||||||||
\(382\) | − | 12.7470i | − | 0.652195i | ||||||
\(383\) | 0.453598i | 0.0231778i | 0.999933 | + | 0.0115889i | \(0.00368894\pi\) | ||||
−0.999933 | + | 0.0115889i | \(0.996311\pi\) | |||||||
\(384\) | −10.9888 | −0.560769 | ||||||||
\(385\) | 10.9447 | + | 27.5139i | 0.557794 | + | 1.40224i | ||||
\(386\) | −5.01121 | −0.255064 | ||||||||
\(387\) | − | 8.64104i | − | 0.439249i | ||||||
\(388\) | 7.98476i | 0.405365i | ||||||||
\(389\) | −16.1554 | −0.819113 | −0.409557 | − | 0.912285i | \(-0.634317\pi\) | ||||
−0.409557 | + | 0.912285i | \(0.634317\pi\) | |||||||
\(390\) | 2.22443 | + | 5.59201i | 0.112639 | + | 0.283163i | ||||
\(391\) | −15.1122 | −0.764258 | ||||||||
\(392\) | 14.1702i | 0.715704i | ||||||||
\(393\) | − | 7.29276i | − | 0.367871i | ||||||
\(394\) | −25.2435 | −1.27175 | ||||||||
\(395\) | 2.91020 | − | 1.15764i | 0.146428 | − | 0.0582473i | ||||
\(396\) | −43.4455 | −2.18322 | ||||||||
\(397\) | 32.7563i | 1.64399i | 0.569495 | + | 0.821995i | \(0.307139\pi\) | ||||
−0.569495 | + | 0.821995i | \(0.692861\pi\) | |||||||
\(398\) | 6.61192i | 0.331426i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 11.4663 | − | 10.8371i | 0.573315 | − | 0.541856i | ||||
\(401\) | −12.0864 | −0.603568 | −0.301784 | − | 0.953376i | \(-0.597582\pi\) | ||||
−0.301784 | + | 0.953376i | \(0.597582\pi\) | |||||||
\(402\) | 6.18936i | 0.308697i | ||||||||
\(403\) | − | 5.38284i | − | 0.268138i | ||||||
\(404\) | 6.59933 | 0.328329 | ||||||||
\(405\) | −13.4784 | + | 5.36154i | −0.669747 | + | 0.266417i | ||||
\(406\) | 46.2693 | 2.29631 | ||||||||
\(407\) | − | 17.8794i | − | 0.886251i | ||||||
\(408\) | 13.9761i | 0.691921i | ||||||||
\(409\) | −19.1346 | −0.946147 | −0.473073 | − | 0.881023i | \(-0.656855\pi\) | ||||
−0.473073 | + | 0.881023i | \(0.656855\pi\) | |||||||
\(410\) | −1.19866 | − | 3.01331i | −0.0591974 | − | 0.148817i | ||||
\(411\) | 4.26604 | 0.210428 | ||||||||
\(412\) | − | 22.1821i | − | 1.09283i | ||||||
\(413\) | 5.45428i | 0.268388i | ||||||||
\(414\) | −17.1122 | −0.841020 | ||||||||
\(415\) | −5.84456 | − | 14.6927i | −0.286898 | − | 0.721235i | ||||
\(416\) | 2.78678 | 0.136633 | ||||||||
\(417\) | − | 1.75499i | − | 0.0859423i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −8.04484 | −0.393016 | −0.196508 | − | 0.980502i | \(-0.562960\pi\) | ||||
−0.196508 | + | 0.980502i | \(0.562960\pi\) | |||||||
\(420\) | 13.7115 | − | 5.45428i | 0.669055 | − | 0.266142i | ||||
\(421\) | 29.3591 | 1.43087 | 0.715437 | − | 0.698678i | \(-0.246228\pi\) | ||||
0.715437 | + | 0.698678i | \(0.246228\pi\) | |||||||
\(422\) | 38.0742i | 1.85342i | ||||||||
\(423\) | 31.7484i | 1.54366i | ||||||||
\(424\) | 52.7676 | 2.56262 | ||||||||
\(425\) | 19.9015 | + | 21.0569i | 0.965364 | + | 1.02141i | ||||
\(426\) | 17.8204 | 0.863401 | ||||||||
\(427\) | 27.8993i | 1.35014i | ||||||||
\(428\) | − | 59.5040i | − | 2.87623i | ||||||
\(429\) | −4.62175 | −0.223140 | ||||||||
\(430\) | −16.0224 | + | 6.37352i | −0.772670 | + | 0.307358i | ||||
\(431\) | 32.0448 | 1.54355 | 0.771773 | − | 0.635898i | \(-0.219370\pi\) | ||||
0.771773 | + | 0.635898i | \(0.219370\pi\) | |||||||
\(432\) | 9.67948i | 0.465704i | ||||||||
\(433\) | 0.482831i | 0.0232034i | 0.999933 | + | 0.0116017i | \(0.00369301\pi\) | ||||
−0.999933 | + | 0.0116017i | \(0.996307\pi\) | |||||||
\(434\) | −20.0448 | −0.962183 | ||||||||
\(435\) | −2.66335 | − | 6.69541i | −0.127698 | − | 0.321020i | ||||
\(436\) | −45.1571 | −2.16263 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | − | 3.54437i | − | 0.169356i | ||||||
\(439\) | −27.3591 | −1.30578 | −0.652889 | − | 0.757454i | \(-0.726443\pi\) | ||||
−0.652889 | + | 0.757454i | \(0.726443\pi\) | |||||||
\(440\) | 15.4231 | + | 38.7722i | 0.735267 | + | 1.84839i | ||||
\(441\) | −8.55611 | −0.407434 | ||||||||
\(442\) | − | 29.0384i | − | 1.38122i | ||||||
\(443\) | − | 23.3815i | − | 1.11089i | −0.831554 | − | 0.555444i | \(-0.812548\pi\) | ||
0.831554 | − | 0.555444i | \(-0.187452\pi\) | |||||||
\(444\) | −8.91020 | −0.422859 | ||||||||
\(445\) | −34.3557 | + | 13.6663i | −1.62862 | + | 0.647844i | ||||
\(446\) | −45.5465 | −2.15669 | ||||||||
\(447\) | − | 4.53505i | − | 0.214500i | ||||||
\(448\) | − | 30.4887i | − | 1.44046i | ||||||
\(449\) | 23.1346 | 1.09179 | 0.545895 | − | 0.837853i | \(-0.316190\pi\) | ||||
0.545895 | + | 0.837853i | \(0.316190\pi\) | |||||||
\(450\) | 22.5353 | + | 23.8437i | 1.06232 | + | 1.12400i | ||||
\(451\) | 2.49047 | 0.117272 | ||||||||
\(452\) | 40.8430i | 1.92109i | ||||||||
\(453\) | − | 0.476811i | − | 0.0224025i | ||||||
\(454\) | −34.9472 | −1.64015 | ||||||||
\(455\) | −13.7115 | + | 5.45428i | −0.642807 | + | 0.255701i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 21.2503i | 0.994049i | 0.867736 | + | 0.497025i | \(0.165574\pi\) | ||||
−0.867736 | + | 0.497025i | \(0.834426\pi\) | |||||||
\(458\) | 10.1099i | 0.472403i | ||||||||
\(459\) | −17.7756 | −0.829692 | ||||||||
\(460\) | 8.31087 | + | 20.8927i | 0.387496 | + | 0.974129i | ||||
\(461\) | 31.5785 | 1.47076 | 0.735379 | − | 0.677656i | \(-0.237004\pi\) | ||||
0.735379 | + | 0.677656i | \(0.237004\pi\) | |||||||
\(462\) | 17.2106i | 0.800712i | ||||||||
\(463\) | 15.6119i | 0.725547i | 0.931877 | + | 0.362774i | \(0.118170\pi\) | ||||
−0.931877 | + | 0.362774i | \(0.881830\pi\) | |||||||
\(464\) | 18.9326 | 0.878925 | ||||||||
\(465\) | 1.15382 | + | 2.90059i | 0.0535071 | + | 0.134512i | ||||
\(466\) | 29.2435 | 1.35468 | ||||||||
\(467\) | − | 29.8264i | − | 1.38020i | −0.723713 | − | 0.690101i | \(-0.757566\pi\) | ||
0.723713 | − | 0.690101i | \(-0.242434\pi\) | |||||||
\(468\) | − | 21.6510i | − | 1.00082i | ||||||
\(469\) | −15.1762 | −0.700774 | ||||||||
\(470\) | 58.8686 | − | 23.4172i | 2.71541 | − | 1.08015i | ||||
\(471\) | −2.22443 | −0.102496 | ||||||||
\(472\) | 7.68608i | 0.353781i | ||||||||
\(473\) | − | 13.2424i | − | 0.608885i | ||||||
\(474\) | 1.82040 | 0.0836139 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −71.2019 | −3.26353 | ||||||||
\(477\) | 31.8616i | 1.45884i | ||||||||
\(478\) | 27.4754i | 1.25670i | ||||||||
\(479\) | −4.53531 | −0.207223 | −0.103612 | − | 0.994618i | \(-0.533040\pi\) | ||||
−0.103612 | + | 0.994618i | \(0.533040\pi\) | |||||||
\(480\) | −1.50168 | + | 0.597349i | −0.0685420 | + | 0.0272651i | ||||
\(481\) | 8.91020 | 0.406270 | ||||||||
\(482\) | 8.22918i | 0.374829i | ||||||||
\(483\) | 4.46360i | 0.203101i | ||||||||
\(484\) | −24.1666 | −1.09848 | ||||||||
\(485\) | 1.71155 | + | 4.30266i | 0.0777173 | + | 0.195374i | ||||
\(486\) | −30.7003 | −1.39260 | ||||||||
\(487\) | − | 39.2550i | − | 1.77881i | −0.457116 | − | 0.889407i | \(-0.651118\pi\) | ||
0.457116 | − | 0.889407i | \(-0.348882\pi\) | |||||||
\(488\) | 39.3153i | 1.77972i | ||||||||
\(489\) | −13.2726 | −0.600209 | ||||||||
\(490\) | 6.31087 | + | 15.8649i | 0.285096 | + | 0.716705i | ||||
\(491\) | 38.8910 | 1.75513 | 0.877564 | − | 0.479460i | \(-0.159168\pi\) | ||||
0.877564 | + | 0.479460i | \(0.159168\pi\) | |||||||
\(492\) | − | 1.24112i | − | 0.0559542i | ||||||
\(493\) | 34.7682i | 1.56588i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −23.4110 | + | 9.31261i | −1.05225 | + | 0.418571i | ||||
\(496\) | −8.20202 | −0.368281 | ||||||||
\(497\) | 43.6954i | 1.96001i | ||||||||
\(498\) | − | 9.19063i | − | 0.411842i | ||||||
\(499\) | −4.73235 | −0.211849 | −0.105924 | − | 0.994374i | \(-0.533780\pi\) | ||||
−0.105924 | + | 0.994374i | \(0.533780\pi\) | |||||||
\(500\) | 18.1666 | − | 39.0941i | 0.812437 | − | 1.74834i | ||||
\(501\) | −1.93598 | −0.0864931 | ||||||||
\(502\) | 7.36420i | 0.328680i | ||||||||
\(503\) | − | 1.85567i | − | 0.0827400i | −0.999144 | − | 0.0413700i | \(-0.986828\pi\) | ||
0.999144 | − | 0.0413700i | \(-0.0131722\pi\) | |||||||
\(504\) | −38.8046 | −1.72849 | ||||||||
\(505\) | 3.55611 | − | 1.41458i | 0.158245 | − | 0.0629478i | ||||
\(506\) | −26.2244 | −1.16582 | ||||||||
\(507\) | 4.67880i | 0.207793i | ||||||||
\(508\) | − | 23.4232i | − | 1.03924i | ||||||
\(509\) | 22.8878 | 1.01448 | 0.507242 | − | 0.861804i | \(-0.330665\pi\) | ||||
0.507242 | + | 0.861804i | \(0.330665\pi\) | |||||||
\(510\) | 6.22443 | + | 15.6476i | 0.275623 | + | 0.692889i | ||||
\(511\) | 8.69074 | 0.384456 | ||||||||
\(512\) | − | 32.5867i | − | 1.44014i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 41.8350 | 1.84526 | ||||||||
\(515\) | −4.75476 | − | 11.9530i | −0.209520 | − | 0.526713i | ||||
\(516\) | −6.59933 | −0.290519 | ||||||||
\(517\) | 48.6543i | 2.13982i | ||||||||
\(518\) | − | 33.1802i | − | 1.45785i | ||||||
\(519\) | 12.0416 | 0.528568 | ||||||||
\(520\) | −19.3221 | + | 7.68608i | −0.847329 | + | 0.337057i | ||||
\(521\) | 29.7340 | 1.30267 | 0.651334 | − | 0.758791i | \(-0.274210\pi\) | ||||
0.651334 | + | 0.758791i | \(0.274210\pi\) | |||||||
\(522\) | 39.3695i | 1.72316i | ||||||||
\(523\) | 30.6497i | 1.34022i | 0.742263 | + | 0.670109i | \(0.233752\pi\) | ||||
−0.742263 | + | 0.670109i | \(0.766248\pi\) | |||||||
\(524\) | 52.3557 | 2.28717 | ||||||||
\(525\) | 6.21946 | − | 5.87818i | 0.271439 | − | 0.256545i | ||||
\(526\) | −2.88778 | −0.125913 | ||||||||
\(527\) | − | 15.0623i | − | 0.656125i | ||||||
\(528\) | 7.04231i | 0.306477i | ||||||||
\(529\) | 16.1987 | 0.704289 | ||||||||
\(530\) | 59.0785 | − | 23.5007i | 2.56620 | − | 1.02080i | ||||
\(531\) | −4.64093 | −0.201399 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 1.24112i | 0.0537590i | ||||||||
\(534\) | −21.4903 | −0.929978 | ||||||||
\(535\) | −12.7548 | − | 32.0643i | −0.551437 | − | 1.38626i | ||||
\(536\) | −21.3861 | −0.923739 | ||||||||
\(537\) | − | 2.75771i | − | 0.119004i | ||||||
\(538\) | 53.5006i | 2.30657i | ||||||||
\(539\) | −13.1122 | −0.564783 | ||||||||
\(540\) | 9.77557 | + | 24.5748i | 0.420673 | + | 1.05753i | ||||
\(541\) | 2.21946 | 0.0954220 | 0.0477110 | − | 0.998861i | \(-0.484807\pi\) | ||||
0.0477110 | + | 0.998861i | \(0.484807\pi\) | |||||||
\(542\) | − | 9.88865i | − | 0.424754i | ||||||
\(543\) | − | 11.1961i | − | 0.480469i | ||||||
\(544\) | 7.79798 | 0.334336 | ||||||||
\(545\) | −24.3333 | + | 9.67948i | −1.04232 | + | 0.414623i | ||||
\(546\) | −8.57691 | −0.367058 | ||||||||
\(547\) | 14.4297i | 0.616970i | 0.951229 | + | 0.308485i | \(0.0998220\pi\) | ||||
−0.951229 | + | 0.308485i | \(0.900178\pi\) | |||||||
\(548\) | 30.6265i | 1.30830i | ||||||||
\(549\) | −23.7389 | −1.01315 | ||||||||
\(550\) | 34.5353 | + | 36.5404i | 1.47259 | + | 1.55809i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 6.29004i | 0.267722i | ||||||||
\(553\) | 4.46360i | 0.189812i | ||||||||
\(554\) | 24.2469 | 1.03015 | ||||||||
\(555\) | −4.80134 | + | 1.90991i | −0.203806 | + | 0.0810714i | ||||
\(556\) | 12.5993 | 0.534331 | ||||||||
\(557\) | 19.4610i | 0.824588i | 0.911051 | + | 0.412294i | \(0.135272\pi\) | ||||
−0.911051 | + | 0.412294i | \(0.864728\pi\) | |||||||
\(558\) | − | 17.0557i | − | 0.722026i | ||||||
\(559\) | 6.59933 | 0.279122 | ||||||||
\(560\) | 8.31087 | + | 20.8927i | 0.351198 | + | 0.882879i | ||||
\(561\) | −12.9326 | −0.546016 | ||||||||
\(562\) | − | 1.45030i | − | 0.0611771i | ||||||
\(563\) | − | 12.3649i | − | 0.521118i | −0.965458 | − | 0.260559i | \(-0.916093\pi\) | ||
0.965458 | − | 0.260559i | \(-0.0839068\pi\) | |||||||
\(564\) | 24.2469 | 1.02098 | ||||||||
\(565\) | 8.75476 | + | 22.0086i | 0.368316 | + | 0.925911i | ||||
\(566\) | 13.1122 | 0.551148 | ||||||||
\(567\) | − | 20.6729i | − | 0.868179i | ||||||
\(568\) | 61.5748i | 2.58362i | ||||||||
\(569\) | 15.0898 | 0.632597 | 0.316299 | − | 0.948660i | \(-0.397560\pi\) | ||||
0.316299 | + | 0.948660i | \(0.397560\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 17.1571 | 0.718000 | 0.359000 | − | 0.933337i | \(-0.383118\pi\) | ||||
0.359000 | + | 0.933337i | \(0.383118\pi\) | |||||||
\(572\) | − | 33.1802i | − | 1.38733i | ||||||
\(573\) | − | 2.82915i | − | 0.118190i | ||||||
\(574\) | 4.62175 | 0.192908 | ||||||||
\(575\) | 8.95678 | + | 9.47680i | 0.373524 | + | 0.395210i | ||||
\(576\) | 25.9422 | 1.08093 | ||||||||
\(577\) | − | 22.5165i | − | 0.937374i | −0.883364 | − | 0.468687i | \(-0.844727\pi\) | ||
0.883364 | − | 0.468687i | \(-0.155273\pi\) | |||||||
\(578\) | − | 40.1179i | − | 1.66868i | ||||||
\(579\) | −1.11222 | −0.0462222 | ||||||||
\(580\) | 48.0673 | − | 19.1206i | 1.99588 | − | 0.793938i | ||||
\(581\) | 22.5353 | 0.934922 | ||||||||
\(582\) | 2.69142i | 0.111563i | ||||||||
\(583\) | 48.8278i | 2.02224i | ||||||||
\(584\) | 12.2469 | 0.506778 | ||||||||
\(585\) | −4.64093 | − | 11.6669i | −0.191879 | − | 0.482365i | ||||
\(586\) | −8.38946 | −0.346566 | ||||||||
\(587\) | 7.49544i | 0.309370i | 0.987964 | + | 0.154685i | \(0.0494363\pi\) | ||||
−0.987964 | + | 0.154685i | \(0.950564\pi\) | |||||||
\(588\) | 6.53446i | 0.269477i | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 3.42309 | + | 8.60532i | 0.140926 | + | 0.354275i | ||||
\(591\) | −5.60269 | −0.230464 | ||||||||
\(592\) | − | 13.5768i | − | 0.558002i | ||||||
\(593\) | − | 27.8094i | − | 1.14199i | −0.820952 | − | 0.570997i | \(-0.806557\pi\) | ||
0.820952 | − | 0.570997i | \(-0.193443\pi\) | |||||||
\(594\) | −30.8462 | −1.26563 | ||||||||
\(595\) | −38.3678 | + | 15.2622i | −1.57293 | + | 0.625690i | ||||
\(596\) | 32.5577 | 1.33362 | ||||||||
\(597\) | 1.46749i | 0.0600603i | ||||||||
\(598\) | − | 13.0689i | − | 0.534428i | ||||||
\(599\) | −45.4903 | −1.85869 | −0.929343 | − | 0.369219i | \(-0.879625\pi\) | ||||
−0.929343 | + | 0.369219i | \(0.879625\pi\) | |||||||
\(600\) | 8.76436 | − | 8.28343i | 0.357803 | − | 0.338170i | ||||
\(601\) | 16.5993 | 0.677101 | 0.338550 | − | 0.940948i | \(-0.390063\pi\) | ||||
0.338550 | + | 0.940948i | \(0.390063\pi\) | |||||||
\(602\) | − | 24.5748i | − | 1.00160i | ||||||
\(603\) | − | 12.9131i | − | 0.525863i | ||||||
\(604\) | 3.42309 | 0.139284 | ||||||||
\(605\) | −13.0224 | + | 5.18016i | −0.529437 | + | 0.210603i | ||||
\(606\) | 2.22443 | 0.0903614 | ||||||||
\(607\) | 5.08417i | 0.206360i | 0.994663 | + | 0.103180i | \(0.0329018\pi\) | ||||
−0.994663 | + | 0.103180i | \(0.967098\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 10.2693 | 0.416132 | ||||||||
\(610\) | 17.5095 | + | 44.0173i | 0.708940 | + | 1.78221i | ||||
\(611\) | −24.2469 | −0.980923 | ||||||||
\(612\) | − | 60.5842i | − | 2.44897i | ||||||
\(613\) | − | 4.63706i | − | 0.187289i | −0.995606 | − | 0.0936445i | \(-0.970148\pi\) | ||
0.995606 | − | 0.0936445i | \(-0.0298517\pi\) | |||||||
\(614\) | −40.1458 | −1.62015 | ||||||||
\(615\) | −0.266037 | − | 0.668791i | −0.0107276 | − | 0.0269683i | ||||
\(616\) | −59.4679 | −2.39603 | ||||||||
\(617\) | 40.2874i | 1.62191i | 0.585108 | + | 0.810955i | \(0.301052\pi\) | ||||
−0.585108 | + | 0.810955i | \(0.698948\pi\) | |||||||
\(618\) | − | 7.47691i | − | 0.300766i | ||||||
\(619\) | 43.3815 | 1.74365 | 0.871825 | − | 0.489818i | \(-0.162937\pi\) | ||||
0.871825 | + | 0.489818i | \(0.162937\pi\) | |||||||
\(620\) | −20.8238 | + | 8.28343i | −0.836302 | + | 0.332671i | ||||
\(621\) | −8.00000 | −0.321029 | ||||||||
\(622\) | − | 10.0556i | − | 0.403194i | ||||||
\(623\) | − | 52.6940i | − | 2.11114i | ||||||
\(624\) | −3.50953 | −0.140494 | ||||||||
\(625\) | 1.40939 | − | 24.9602i | 0.0563757 | − | 0.998410i | ||||
\(626\) | −2.22443 | −0.0889062 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 15.9695i | − | 0.637253i | ||||||
\(629\) | 24.9326 | 0.994129 | ||||||||
\(630\) | −43.4455 | + | 17.2821i | −1.73091 | + | 0.688535i | ||||
\(631\) | 7.53369 | 0.299911 | 0.149956 | − | 0.988693i | \(-0.452087\pi\) | ||||
0.149956 | + | 0.988693i | \(0.452087\pi\) | |||||||
\(632\) | 6.29004i | 0.250204i | ||||||||
\(633\) | 8.45040i | 0.335873i | ||||||||
\(634\) | −64.6812 | −2.56882 | ||||||||
\(635\) | −5.02080 | − | 12.6218i | −0.199244 | − | 0.500881i | ||||
\(636\) | 24.3333 | 0.964878 | ||||||||
\(637\) | − | 6.53446i | − | 0.258905i | ||||||
\(638\) | 60.3337i | 2.38863i | ||||||||
\(639\) | −37.1795 | −1.47080 | ||||||||
\(640\) | −16.9102 | − | 42.5106i | −0.668434 | − | 1.68038i | ||||
\(641\) | 23.3075 | 0.920591 | 0.460296 | − | 0.887766i | \(-0.347743\pi\) | ||||
0.460296 | + | 0.887766i | \(0.347743\pi\) | |||||||
\(642\) | − | 20.0570i | − | 0.791586i | ||||||
\(643\) | − | 1.87419i | − | 0.0739110i | −0.999317 | − | 0.0369555i | \(-0.988234\pi\) | ||
0.999317 | − | 0.0369555i | \(-0.0117660\pi\) | |||||||
\(644\) | −32.0448 | −1.26274 | ||||||||
\(645\) | −3.55611 | + | 1.41458i | −0.140022 | + | 0.0556989i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | − | 47.0371i | − | 1.84922i | −0.380917 | − | 0.924609i | \(-0.624392\pi\) | ||
0.380917 | − | 0.924609i | \(-0.375608\pi\) | |||||||
\(648\) | − | 29.1319i | − | 1.14441i | ||||||
\(649\) | −7.11222 | −0.279179 | ||||||||
\(650\) | −18.2099 | + | 17.2106i | −0.714250 | + | 0.675057i | ||||
\(651\) | −4.44887 | −0.174365 | ||||||||
\(652\) | − | 95.2861i | − | 3.73169i | ||||||
\(653\) | − | 24.1630i | − | 0.945571i | −0.881178 | − | 0.472785i | \(-0.843249\pi\) | ||
0.881178 | − | 0.472785i | \(-0.156751\pi\) | |||||||
\(654\) | −15.2211 | −0.595191 | ||||||||
\(655\) | 28.2124 | − | 11.2225i | 1.10235 | − | 0.438500i | ||||
\(656\) | 1.89114 | 0.0738367 | ||||||||
\(657\) | 7.39477i | 0.288497i | ||||||||
\(658\) | 90.2914i | 3.51992i | ||||||||
\(659\) | 10.2885 | 0.400781 | 0.200391 | − | 0.979716i | \(-0.435779\pi\) | ||||
0.200391 | + | 0.979716i | \(0.435779\pi\) | |||||||
\(660\) | 7.11222 | + | 17.8794i | 0.276843 | + | 0.695956i | ||||
\(661\) | −5.93598 | −0.230883 | −0.115441 | − | 0.993314i | \(-0.536828\pi\) | ||||
−0.115441 | + | 0.993314i | \(0.536828\pi\) | |||||||
\(662\) | − | 19.3590i | − | 0.752407i | ||||||
\(663\) | − | 6.44496i | − | 0.250302i | ||||||
\(664\) | 31.7564 | 1.23239 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 28.2323 | 1.09398 | ||||||||
\(667\) | 15.6476i | 0.605879i | ||||||||
\(668\) | − | 13.8987i | − | 0.537755i | ||||||
\(669\) | −10.1089 | −0.390831 | ||||||||
\(670\) | −23.9438 | + | 9.52456i | −0.925031 | + | 0.367966i | ||||
\(671\) | −36.3799 | −1.40443 | ||||||||
\(672\) | − | 2.30324i | − | 0.0888496i | ||||||
\(673\) | − | 40.7053i | − | 1.56907i | −0.620082 | − | 0.784537i | \(-0.712901\pi\) | ||
0.620082 | − | 0.784537i | \(-0.287099\pi\) | |||||||
\(674\) | 54.4567 | 2.09759 | ||||||||
\(675\) | 10.5353 | + | 11.1470i | 0.405504 | + | 0.429047i | ||||
\(676\) | −33.5897 | −1.29191 | ||||||||
\(677\) | − | 18.8761i | − | 0.725469i | −0.931893 | − | 0.362734i | \(-0.881843\pi\) | ||
0.931893 | − | 0.362734i | \(-0.118157\pi\) | |||||||
\(678\) | 13.7669i | 0.528716i | ||||||||
\(679\) | −6.59933 | −0.253259 | ||||||||
\(680\) | −54.0673 | + | 21.5073i | −2.07338 | + | 0.824767i | ||||
\(681\) | −7.75638 | −0.297225 | ||||||||
\(682\) | − | 26.1379i | − | 1.00087i | ||||||
\(683\) | − | 19.6576i | − | 0.752179i | −0.926583 | − | 0.376089i | \(-0.877269\pi\) | ||
0.926583 | − | 0.376089i | \(-0.122731\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.56483 | + | 16.5034i | 0.250829 | + | 0.630561i | ||||
\(686\) | 29.6475 | 1.13195 | ||||||||
\(687\) | 2.24384i | 0.0856079i | ||||||||
\(688\) | − | 10.0556i | − | 0.383367i | ||||||
\(689\) | −24.3333 | −0.927025 | ||||||||
\(690\) | 2.80134 | + | 7.04231i | 0.106645 | + | 0.268096i | ||||
\(691\) | −48.2451 | −1.83533 | −0.917665 | − | 0.397354i | \(-0.869928\pi\) | ||||
−0.917665 | + | 0.397354i | \(0.869928\pi\) | |||||||
\(692\) | 86.4483i | 3.28627i | ||||||||
\(693\) | − | 35.9073i | − | 1.36401i | ||||||
\(694\) | 34.9775 | 1.32773 | ||||||||
\(695\) | 6.78926 | − | 2.70068i | 0.257531 | − | 0.102443i | ||||
\(696\) | 14.4713 | 0.548533 | ||||||||
\(697\) | 3.47293i | 0.131546i | ||||||||
\(698\) | 32.3152i | 1.22315i | ||||||||
\(699\) | 6.49047 | 0.245492 | ||||||||
\(700\) | 42.2003 | + | 44.6504i | 1.59502 | + | 1.68762i | ||||
\(701\) | 0.512889 | 0.0193715 | 0.00968577 | − | 0.999953i | \(-0.496917\pi\) | ||||
0.00968577 | + | 0.999953i | \(0.496917\pi\) | |||||||
\(702\) | − | 15.3722i | − | 0.580185i | ||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 39.7564 | 1.49838 | ||||||||
\(705\) | 13.0656 | − | 5.19735i | 0.492080 | − | 0.195743i | ||||
\(706\) | 42.6890 | 1.60662 | ||||||||
\(707\) | 5.45428i | 0.205129i | ||||||||
\(708\) | 3.54437i | 0.133205i | ||||||||
\(709\) | 8.84618 | 0.332225 | 0.166113 | − | 0.986107i | \(-0.446878\pi\) | ||||
0.166113 | + | 0.986107i | \(0.446878\pi\) | |||||||
\(710\) | 27.4231 | + | 68.9390i | 1.02917 | + | 2.58724i | ||||
\(711\) | −3.79798 | −0.142436 | ||||||||
\(712\) | − | 74.2556i | − | 2.78285i | ||||||
\(713\) | − | 6.77889i | − | 0.253871i | ||||||
\(714\) | −24.0000 | −0.898177 | ||||||||
\(715\) | −7.11222 | − | 17.8794i | −0.265982 | − | 0.668653i | ||||
\(716\) | 19.7980 | 0.739885 | ||||||||
\(717\) | 6.09806i | 0.227736i | ||||||||
\(718\) | − | 30.1669i | − | 1.12582i | ||||||
\(719\) | −7.84456 | −0.292553 | −0.146276 | − | 0.989244i | \(-0.546729\pi\) | ||||
−0.146276 | + | 0.989244i | \(0.546729\pi\) | |||||||
\(720\) | −17.7772 | + | 7.07154i | −0.662516 | + | 0.263541i | ||||
\(721\) | 18.3333 | 0.682767 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1.82643i | 0.0679258i | ||||||||
\(724\) | 80.3781 | 2.98723 | ||||||||
\(725\) | 21.8030 | − | 20.6066i | 0.809742 | − | 0.765309i | ||||
\(726\) | −8.14584 | −0.302321 | ||||||||
\(727\) | − | 2.91130i | − | 0.107974i | −0.998542 | − | 0.0539870i | \(-0.982807\pi\) | ||
0.998542 | − | 0.0539870i | \(-0.0171930\pi\) | |||||||
\(728\) | − | 29.6358i | − | 1.09838i | ||||||
\(729\) | 12.6475 | 0.468427 | ||||||||
\(730\) | 13.7115 | − | 5.45428i | 0.507487 | − | 0.201872i | ||||
\(731\) | 18.4663 | 0.683001 | ||||||||
\(732\) | 18.1299i | 0.670100i | ||||||||
\(733\) | 33.7775i | 1.24760i | 0.781584 | + | 0.623800i | \(0.214412\pi\) | ||||
−0.781584 | + | 0.623800i | \(0.785588\pi\) | |||||||
\(734\) | 39.7564 | 1.46743 | ||||||||
\(735\) | 1.40067 | + | 3.52116i | 0.0516646 | + | 0.129880i | ||||
\(736\) | 3.50953 | 0.129363 | ||||||||
\(737\) | − | 19.7893i | − | 0.728950i | ||||||
\(738\) | 3.93254i | 0.144759i | ||||||||
\(739\) | 35.8030 | 1.31703 | 0.658517 | − | 0.752566i | \(-0.271184\pi\) | ||||
0.658517 | + | 0.752566i | \(0.271184\pi\) | |||||||
\(740\) | −13.7115 | − | 34.4695i | −0.504046 | − | 1.26712i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 90.6133i | 3.32652i | ||||||||
\(743\) | − | 5.66948i | − | 0.207993i | −0.994578 | − | 0.103996i | \(-0.966837\pi\) | ||
0.994578 | − | 0.103996i | \(-0.0331631\pi\) | |||||||
\(744\) | −6.26927 | −0.229843 | ||||||||
\(745\) | 17.5440 | − | 6.97880i | 0.642763 | − | 0.255683i | ||||
\(746\) | 12.8092 | 0.468978 | ||||||||
\(747\) | 19.1748i | 0.701569i | ||||||||
\(748\) | − | 92.8451i | − | 3.39475i | ||||||
\(749\) | 49.1795 | 1.79698 | ||||||||
\(750\) | 6.12343 | − | 13.1774i | 0.223596 | − | 0.481171i | ||||
\(751\) | 27.4679 | 1.00232 | 0.501159 | − | 0.865355i | \(-0.332907\pi\) | ||||
0.501159 | + | 0.865355i | \(0.332907\pi\) | |||||||
\(752\) | 36.9457i | 1.34727i | ||||||||
\(753\) | 1.63445i | 0.0595628i | ||||||||
\(754\) | −30.0673 | −1.09498 | ||||||||
\(755\) | 1.84456 | − | 0.733744i | 0.0671305 | − | 0.0267037i | ||||
\(756\) | −37.6924 | −1.37086 | ||||||||
\(757\) | − | 41.6370i | − | 1.51332i | −0.653806 | − | 0.756662i | \(-0.726829\pi\) | ||
0.653806 | − | 0.756662i | \(-0.273171\pi\) | |||||||
\(758\) | 35.1736i | 1.27756i | ||||||||
\(759\) | −5.82040 | −0.211267 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −9.46967 | −0.343275 | −0.171638 | − | 0.985160i | \(-0.554906\pi\) | ||||
−0.171638 | + | 0.985160i | \(0.554906\pi\) | |||||||
\(762\) | − | 7.89526i | − | 0.286015i | ||||||
\(763\) | − | 37.3219i | − | 1.35114i | ||||||
\(764\) | 20.3109 | 0.734822 | ||||||||
\(765\) | −12.9863 | − | 32.6463i | −0.469521 | − | 1.18033i | ||||
\(766\) | −1.09765 | −0.0396597 | ||||||||
\(767\) | − | 3.54437i | − | 0.127980i | ||||||
\(768\) | − | 16.3146i | − | 0.588703i | ||||||
\(769\) | −1.90858 | −0.0688253 | −0.0344127 | − | 0.999408i | \(-0.510956\pi\) | ||||
−0.0344127 | + | 0.999408i | \(0.510956\pi\) | |||||||
\(770\) | −66.5801 | + | 26.4848i | −2.39938 | + | 0.954444i | ||||
\(771\) | 9.28510 | 0.334395 | ||||||||
\(772\) | − | 7.98476i | − | 0.287378i | ||||||
\(773\) | − | 28.4007i | − | 1.02150i | −0.859729 | − | 0.510751i | \(-0.829367\pi\) | ||
0.859729 | − | 0.510751i | \(-0.170633\pi\) | |||||||
\(774\) | 20.9102 | 0.751602 | ||||||||
\(775\) | −9.44551 | + | 8.92721i | −0.339293 | + | 0.320675i | ||||
\(776\) | −9.29966 | −0.333838 | ||||||||
\(777\) | − | 7.36420i | − | 0.264189i | ||||||
\(778\) | − | 39.0941i | − | 1.40159i | ||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −8.91020 | + | 3.54437i | −0.319036 | + | 0.126909i | ||||
\(781\) | −56.9775 | −2.03881 | ||||||||
\(782\) | − | 36.5696i | − | 1.30773i | ||||||
\(783\) | 18.4053i | 0.657753i | ||||||||
\(784\) | −9.95678 | −0.355599 | ||||||||
\(785\) | −3.42309 | − | 8.60532i | −0.122175 | − | 0.307137i | ||||
\(786\) | 17.6475 | 0.629466 | ||||||||
\(787\) | − | 15.6708i | − | 0.558605i | −0.960203 | − | 0.279303i | \(-0.909897\pi\) | ||
0.960203 | − | 0.279303i | \(-0.0901033\pi\) | |||||||
\(788\) | − | 40.2225i | − | 1.43287i | ||||||
\(789\) | −0.640931 | −0.0228178 | ||||||||
\(790\) | 2.80134 | + | 7.04231i | 0.0996673 | + | 0.250554i | ||||
\(791\) | −33.7564 | −1.20024 | ||||||||
\(792\) | − | 50.6000i | − | 1.79799i | ||||||
\(793\) | − | 18.1299i | − | 0.643811i | ||||||
\(794\) | −79.2659 | −2.81304 | ||||||||
\(795\) | 13.1122 | − | 5.21588i | 0.465042 | − | 0.184988i | ||||
\(796\) | −10.5353 | −0.373414 | ||||||||
\(797\) | 36.9225i | 1.30786i | 0.756554 | + | 0.653932i | \(0.226882\pi\) | ||||
−0.756554 | + | 0.653932i | \(0.773118\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −67.8478 | −2.40028 | ||||||||
\(800\) | −4.62175 | − | 4.89008i | −0.163403 | − | 0.172890i | ||||
\(801\) | 44.8362 | 1.58421 | ||||||||
\(802\) | − | 29.2476i | − | 1.03277i | ||||||
\(803\) | 11.3325i | 0.399914i | ||||||||
\(804\) | −9.86201 | −0.347806 | ||||||||
\(805\) | −17.2677 | + | 6.86886i | −0.608605 | + | 0.242095i | ||||
\(806\) | 13.0258 | 0.458813 | ||||||||
\(807\) | 11.8742i | 0.417993i | ||||||||
\(808\) | 7.68608i | 0.270396i | ||||||||
\(809\) | −43.0465 | −1.51343 | −0.756716 | − | 0.653743i | \(-0.773198\pi\) | ||||
−0.756716 | + | 0.653743i | \(0.773198\pi\) | |||||||
\(810\) | −12.9742 | − | 32.6160i | −0.455868 | − | 1.14601i | ||||
\(811\) | −32.2469 | −1.13234 | −0.566170 | − | 0.824288i | \(-0.691575\pi\) | ||||
−0.566170 | + | 0.824288i | \(0.691575\pi\) | |||||||
\(812\) | 73.7245i | 2.58722i | ||||||||
\(813\) | − | 2.19475i | − | 0.0769731i | ||||||
\(814\) | 43.2659 | 1.51647 | ||||||||
\(815\) | −20.4247 | − | 51.3458i | −0.715446 | − | 1.79856i | ||||
\(816\) | −9.82040 | −0.343783 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | − | 46.3033i | − | 1.61896i | ||||||
\(819\) | 17.8944 | 0.625280 | ||||||||
\(820\) | 4.80134 | − | 1.90991i | 0.167670 | − | 0.0666971i | ||||
\(821\) | 5.18121 | 0.180826 | 0.0904128 | − | 0.995904i | \(-0.471181\pi\) | ||||
0.0904128 | + | 0.995904i | \(0.471181\pi\) | |||||||
\(822\) | 10.3233i | 0.360065i | ||||||||
\(823\) | 25.8517i | 0.901133i | 0.892743 | + | 0.450567i | \(0.148778\pi\) | ||||
−0.892743 | + | 0.450567i | \(0.851222\pi\) | |||||||
\(824\) | 25.8350 | 0.900004 | ||||||||
\(825\) | 7.66497 | + | 8.10998i | 0.266860 | + | 0.282353i | ||||
\(826\) | −13.1987 | −0.459240 | ||||||||
\(827\) | 9.97816i | 0.346974i | 0.984836 | + | 0.173487i | \(0.0555035\pi\) | ||||
−0.984836 | + | 0.173487i | \(0.944496\pi\) | |||||||
\(828\) | − | 27.2663i | − | 0.947568i | ||||||
\(829\) | 21.9808 | 0.763425 | 0.381713 | − | 0.924281i | \(-0.375334\pi\) | ||||
0.381713 | + | 0.924281i | \(0.375334\pi\) | |||||||
\(830\) | 35.5544 | − | 14.1431i | 1.23411 | − | 0.490914i | ||||
\(831\) | 5.38149 | 0.186682 | ||||||||
\(832\) | 19.8126i | 0.686877i | ||||||||
\(833\) | − | 18.2848i | − | 0.633531i | ||||||
\(834\) | 4.24685 | 0.147056 | ||||||||
\(835\) | −2.97920 | − | 7.48942i | −0.103099 | − | 0.259182i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 7.97359i | − | 0.275607i | ||||||
\(838\) | − | 19.4675i | − | 0.672492i | ||||||
\(839\) | −16.1089 | −0.556140 | −0.278070 | − | 0.960561i | \(-0.589695\pi\) | ||||
−0.278070 | + | 0.960561i | \(0.589695\pi\) | |||||||
\(840\) | 6.35248 | + | 15.9695i | 0.219181 | + | 0.551001i | ||||
\(841\) | 7.00000 | 0.241379 | ||||||||
\(842\) | 71.0451i | 2.44838i | ||||||||
\(843\) | − | 0.321887i | − | 0.0110864i | ||||||
\(844\) | −60.6666 | −2.08823 | ||||||||
\(845\) | −18.1001 | + | 7.20001i | −0.622664 | + | 0.247688i | ||||
\(846\) | −76.8270 | −2.64137 | ||||||||
\(847\) | − | 19.9735i | − | 0.686298i | ||||||
\(848\) | 37.0775i | 1.27324i | ||||||||
\(849\) | 2.91020 | 0.0998779 | ||||||||
\(850\) | −50.9550 | + | 48.1590i | −1.74774 | + | 1.65184i | ||||
\(851\) | 11.2211 | 0.384653 | ||||||||
\(852\) | 28.3947i | 0.972785i | ||||||||
\(853\) | − | 44.9615i | − | 1.53945i | −0.638373 | − | 0.769727i | \(-0.720392\pi\) | ||
0.638373 | − | 0.769727i | \(-0.279608\pi\) | |||||||
\(854\) | −67.5128 | −2.31024 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 69.3029 | 2.36872 | ||||||||
\(857\) | 46.2431i | 1.57963i | 0.613343 | + | 0.789817i | \(0.289824\pi\) | ||||
−0.613343 | + | 0.789817i | \(0.710176\pi\) | |||||||
\(858\) | − | 11.1840i | − | 0.381816i | ||||||
\(859\) | 10.7772 | 0.367713 | 0.183856 | − | 0.982953i | \(-0.441142\pi\) | ||||
0.183856 | + | 0.982953i | \(0.441142\pi\) | |||||||
\(860\) | −10.1554 | − | 25.5298i | −0.346298 | − | 0.870559i | ||||
\(861\) | 1.02578 | 0.0349584 | ||||||||
\(862\) | 77.5443i | 2.64117i | ||||||||
\(863\) | 22.7966i | 0.776007i | 0.921658 | + | 0.388003i | \(0.126835\pi\) | ||||
−0.921658 | + | 0.388003i | \(0.873165\pi\) | |||||||
\(864\) | 4.12804 | 0.140439 | ||||||||
\(865\) | 18.5303 | + | 46.5835i | 0.630050 | + | 1.58389i | ||||
\(866\) | −1.16839 | −0.0397034 | ||||||||
\(867\) | − | 8.90400i | − | 0.302396i | ||||||
\(868\) | − | 31.9390i | − | 1.08408i | ||||||
\(869\) | −5.82040 | −0.197444 | ||||||||
\(870\) | 16.2020 | − | 6.44496i | 0.549300 | − | 0.218505i | ||||
\(871\) | 9.86201 | 0.334161 | ||||||||
\(872\) | − | 52.5934i | − | 1.78104i | ||||||
\(873\) | − | 5.61523i | − | 0.190047i | ||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 32.3109 | + | 15.0146i | 1.09231 | + | 0.507585i | ||||
\(876\) | 5.64752 | 0.190812 | ||||||||
\(877\) | 4.94644i | 0.167029i | 0.996507 | + | 0.0835146i | \(0.0266145\pi\) | ||||
−0.996507 | + | 0.0835146i | \(0.973385\pi\) | |||||||
\(878\) | − | 66.2054i | − | 2.23432i | ||||||
\(879\) | −1.86201 | −0.0628039 | ||||||||
\(880\) | −27.2435 | + | 10.8371i | −0.918378 | + | 0.365319i | ||||
\(881\) | 2.53033 | 0.0852490 | 0.0426245 | − | 0.999091i | \(-0.486428\pi\) | ||||
0.0426245 | + | 0.999091i | \(0.486428\pi\) | |||||||
\(882\) | − | 20.7047i | − | 0.697163i | ||||||
\(883\) | − | 29.7430i | − | 1.00093i | −0.865757 | − | 0.500465i | \(-0.833162\pi\) | ||
0.865757 | − | 0.500465i | \(-0.166838\pi\) | |||||||
\(884\) | 46.2693 | 1.55620 | ||||||||
\(885\) | 0.759740 | + | 1.90991i | 0.0255384 | + | 0.0642011i | ||||
\(886\) | 56.5801 | 1.90085 | ||||||||
\(887\) | − | 45.5450i | − | 1.52925i | −0.644474 | − | 0.764626i | \(-0.722924\pi\) | ||
0.644474 | − | 0.764626i | \(-0.277076\pi\) | |||||||
\(888\) | − | 10.3775i | − | 0.348246i | ||||||
\(889\) | 19.3591 | 0.649282 | ||||||||
\(890\) | −33.0706 | − | 83.1364i | −1.10853 | − | 2.78674i | ||||
\(891\) | 26.9568 | 0.903086 | ||||||||
\(892\) | − | 72.5729i | − | 2.42992i | ||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 10.9742 | 0.367033 | ||||||||
\(895\) | 10.6683 | − | 4.24373i | 0.356603 | − | 0.141852i | ||||
\(896\) | 65.2019 | 2.17824 | ||||||||
\(897\) | − | 2.90059i | − | 0.0968480i | ||||||
\(898\) | 55.9828i | 1.86817i | ||||||||
\(899\) | −15.5960 | −0.520155 | ||||||||
\(900\) | −37.9920 | + | 35.9073i | −1.26640 | + | 1.19691i | ||||
\(901\) | −68.0897 | −2.26840 | ||||||||
\(902\) | 6.02662i | 0.200664i | ||||||||
\(903\) | − | 5.45428i | − | 0.181507i | ||||||
\(904\) | −47.5689 | −1.58212 | ||||||||
\(905\) | 43.3125 | − | 17.2292i | 1.43976 | − | 0.572717i | ||||
\(906\) | 1.15382 | 0.0383331 | ||||||||
\(907\) | − | 33.2034i | − | 1.10250i | −0.834340 | − | 0.551250i | \(-0.814151\pi\) | ||
0.834340 | − | 0.551250i | \(-0.185849\pi\) | |||||||
\(908\) | − | 55.6841i | − | 1.84794i | ||||||
\(909\) | −4.64093 | −0.153930 | ||||||||
\(910\) | −13.1987 | − | 33.1802i | −0.437531 | − | 1.09991i | ||||
\(911\) | −55.7788 | −1.84803 | −0.924017 | − | 0.382351i | \(-0.875114\pi\) | ||||
−0.924017 | + | 0.382351i | \(0.875114\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 29.3853i | 0.972513i | ||||||||
\(914\) | −51.4231 | −1.70092 | ||||||||
\(915\) | 3.88617 | + | 9.76945i | 0.128473 | + | 0.322968i | ||||
\(916\) | −16.1089 | −0.532252 | ||||||||
\(917\) | 43.2715i | 1.42895i | ||||||||
\(918\) | − | 43.0146i | − | 1.41969i | ||||||
\(919\) | 28.5769 | 0.942665 | 0.471333 | − | 0.881956i | \(-0.343773\pi\) | ||||
0.471333 | + | 0.881956i | \(0.343773\pi\) | |||||||
\(920\) | −24.3333 | + | 9.67948i | −0.802245 | + | 0.319123i | ||||
\(921\) | −8.91020 | −0.293601 | ||||||||
\(922\) | 76.4159i | 2.51662i | ||||||||
\(923\) | − | 28.3947i | − | 0.934622i | ||||||
\(924\) | −27.4231 | −0.902153 | ||||||||
\(925\) | −14.7772 | − | 15.6351i | −0.485871 | − | 0.514080i | ||||
\(926\) | −37.7788 | −1.24149 | ||||||||
\(927\) | 15.5994i | 0.512352i | ||||||||
\(928\) | − | 8.07426i | − | 0.265051i | ||||||
\(929\) | 54.4937 | 1.78788 | 0.893940 | − | 0.448186i | \(-0.147930\pi\) | ||||
0.893940 | + | 0.448186i | \(0.147930\pi\) | |||||||
\(930\) | −7.01906 | + | 2.79209i | −0.230164 | + | 0.0915564i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 46.5960i | 1.52630i | ||||||||
\(933\) | − | 2.23180i | − | 0.0730659i | ||||||
\(934\) | 72.1761 | 2.36167 | ||||||||
\(935\) | −19.9015 | − | 50.0304i | −0.650848 | − | 1.63617i | ||||
\(936\) | 25.2165 | 0.824226 | ||||||||
\(937\) | − | 37.1484i | − | 1.21359i | −0.794860 | − | 0.606793i | \(-0.792456\pi\) | ||
0.794860 | − | 0.606793i | \(-0.207544\pi\) | |||||||
\(938\) | − | 36.7245i | − | 1.19910i | ||||||
\(939\) | −0.493704 | −0.0161114 | ||||||||
\(940\) | 37.3125 | + | 93.8000i | 1.21700 | + | 3.05942i | ||||
\(941\) | −32.3973 | −1.05612 | −0.528061 | − | 0.849206i | \(-0.677081\pi\) | ||||
−0.528061 | + | 0.849206i | \(0.677081\pi\) | |||||||
\(942\) | − | 5.38284i | − | 0.175382i | ||||||
\(943\) | 1.56301i | 0.0508986i | ||||||||
\(944\) | −5.40067 | −0.175777 | ||||||||
\(945\) | −20.3109 | + | 8.07941i | −0.660713 | + | 0.262823i | ||||
\(946\) | 32.0448 | 1.04187 | ||||||||
\(947\) | 35.4662i | 1.15250i | 0.817275 | + | 0.576249i | \(0.195484\pi\) | ||||
−0.817275 | + | 0.576249i | \(0.804516\pi\) | |||||||
\(948\) | 2.90059i | 0.0942069i | ||||||||
\(949\) | −5.64752 | −0.183326 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −14.3557 | −0.465516 | ||||||||
\(952\) | − | 82.9272i | − | 2.68769i | ||||||
\(953\) | − | 14.3411i | − | 0.464553i | −0.972650 | − | 0.232277i | \(-0.925383\pi\) | ||
0.972650 | − | 0.232277i | \(-0.0746175\pi\) | |||||||
\(954\) | −77.1009 | −2.49623 | ||||||||
\(955\) | 10.9447 | − | 4.35367i | 0.354162 | − | 0.140881i | ||||
\(956\) | −43.7788 | −1.41591 | ||||||||
\(957\) | 13.3908i | 0.432864i | ||||||||
\(958\) | − | 10.9749i | − | 0.354581i | ||||||
\(959\) | −25.3125 | −0.817383 | ||||||||
\(960\) | −4.24685 | − | 10.6762i | −0.137067 | − | 0.344572i | ||||
\(961\) | −24.2435 | −0.782048 | ||||||||
\(962\) | 21.5615i | 0.695172i | ||||||||
\(963\) | 41.8458i | 1.34846i | ||||||||
\(964\) | −13.1122 | −0.422316 | ||||||||
\(965\) | −1.71155 | − | 4.30266i | −0.0550966 | − | 0.138508i | ||||
\(966\) | −10.8013 | −0.347528 | ||||||||
\(967\) | − | 27.9351i | − | 0.898331i | −0.893449 | − | 0.449165i | \(-0.851721\pi\) | ||
0.893449 | − | 0.449165i | \(-0.148279\pi\) | |||||||
\(968\) | − | 28.1463i | − | 0.904657i | ||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −10.4119 | + | 4.14172i | −0.334305 | + | 0.132983i | ||||
\(971\) | 42.5993 | 1.36708 | 0.683539 | − | 0.729914i | \(-0.260440\pi\) | ||||
0.683539 | + | 0.729914i | \(0.260440\pi\) | |||||||
\(972\) | − | 48.9173i | − | 1.56902i | ||||||
\(973\) | 10.4132i | 0.333833i | ||||||||
\(974\) | 94.9920 | 3.04374 | ||||||||
\(975\) | −4.04160 | + | 3.81983i | −0.129435 | + | 0.122332i | ||||
\(976\) | −27.6251 | −0.884258 | ||||||||
\(977\) | − | 39.5597i | − | 1.26563i | −0.774304 | − | 0.632813i | \(-0.781900\pi\) | ||
0.774304 | − | 0.632813i | \(-0.218100\pi\) | |||||||
\(978\) | − | 32.1180i | − | 1.02702i | ||||||
\(979\) | 68.7114 | 2.19603 | ||||||||
\(980\) | −25.2789 | + | 10.0556i | −0.807504 | + | 0.321215i | ||||
\(981\) | 31.7564 | 1.01390 | ||||||||
\(982\) | 94.1112i | 3.00321i | ||||||||
\(983\) | − | 39.7689i | − | 1.26843i | −0.773157 | − | 0.634215i | \(-0.781323\pi\) | ||
0.773157 | − | 0.634215i | \(-0.218677\pi\) | |||||||
\(984\) | 1.44551 | 0.0460811 | ||||||||
\(985\) | −8.62175 | − | 21.6742i | −0.274712 | − | 0.690599i | ||||
\(986\) | −84.1345 | −2.67939 | ||||||||
\(987\) | 20.0398i | 0.637874i | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 8.31087 | 0.264270 | ||||||||
\(990\) | −22.5353 | − | 56.6516i | −0.716219 | − | 1.80051i | ||||
\(991\) | −55.2019 | −1.75355 | −0.876773 | − | 0.480905i | \(-0.840308\pi\) | ||||
−0.876773 | + | 0.480905i | \(0.840308\pi\) | |||||||
\(992\) | 3.49794i | 0.111060i | ||||||||
\(993\) | − | 4.29664i | − | 0.136350i | ||||||
\(994\) | −105.737 | −3.35378 | ||||||||
\(995\) | −5.67705 | + | 2.25826i | −0.179974 | + | 0.0715916i | ||||
\(996\) | 14.6442 | 0.464018 | ||||||||
\(997\) | − | 11.6543i | − | 0.369097i | −0.982823 | − | 0.184548i | \(-0.940918\pi\) | ||
0.982823 | − | 0.184548i | \(-0.0590823\pi\) | |||||||
\(998\) | − | 11.4517i | − | 0.362496i | ||||||
\(999\) | 13.1987 | 0.417587 |
(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 | 1805.2.b.e.1084.6 | 6 | ||
5.2 | odd | 4 | 9025.2.a.bx.1.1 | 6 | |||
5.3 | odd | 4 | 9025.2.a.bx.1.6 | 6 | |||
5.4 | even | 2 | inner | 1805.2.b.e.1084.1 | 6 | ||
19.18 | odd | 2 | 95.2.b.b.39.1 | ✓ | 6 | ||
57.56 | even | 2 | 855.2.c.d.514.6 | 6 | |||
76.75 | even | 2 | 1520.2.d.h.609.4 | 6 | |||
95.18 | even | 4 | 475.2.a.j.1.1 | 6 | |||
95.37 | even | 4 | 475.2.a.j.1.6 | 6 | |||
95.94 | odd | 2 | 95.2.b.b.39.6 | yes | 6 | ||
285.113 | odd | 4 | 4275.2.a.br.1.6 | 6 | |||
285.227 | odd | 4 | 4275.2.a.br.1.1 | 6 | |||
285.284 | even | 2 | 855.2.c.d.514.1 | 6 | |||
380.227 | odd | 4 | 7600.2.a.ck.1.4 | 6 | |||
380.303 | odd | 4 | 7600.2.a.ck.1.3 | 6 | |||
380.379 | even | 2 | 1520.2.d.h.609.3 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.b.b.39.1 | ✓ | 6 | 19.18 | odd | 2 | ||
95.2.b.b.39.6 | yes | 6 | 95.94 | odd | 2 | ||
475.2.a.j.1.1 | 6 | 95.18 | even | 4 | |||
475.2.a.j.1.6 | 6 | 95.37 | even | 4 | |||
855.2.c.d.514.1 | 6 | 285.284 | even | 2 | |||
855.2.c.d.514.6 | 6 | 57.56 | even | 2 | |||
1520.2.d.h.609.3 | 6 | 380.379 | even | 2 | |||
1520.2.d.h.609.4 | 6 | 76.75 | even | 2 | |||
1805.2.b.e.1084.1 | 6 | 5.4 | even | 2 | inner | ||
1805.2.b.e.1084.6 | 6 | 1.1 | even | 1 | trivial | ||
4275.2.a.br.1.1 | 6 | 285.227 | odd | 4 | |||
4275.2.a.br.1.6 | 6 | 285.113 | odd | 4 | |||
7600.2.a.ck.1.3 | 6 | 380.303 | odd | 4 | |||
7600.2.a.ck.1.4 | 6 | 380.227 | odd | 4 | |||
9025.2.a.bx.1.1 | 6 | 5.2 | odd | 4 | |||
9025.2.a.bx.1.6 | 6 | 5.3 | odd | 4 |