Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,2,Mod(59,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.t (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.67685844245\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{-11})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} - 2x^{2} - 3x + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 59.1 | ||
Root | \(1.68614 + 0.396143i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 210.59 |
Dual form | 210.2.t.d.89.2 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0.500000 | − | 1.65831i | 0.288675 | − | 0.957427i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −0.686141 | − | 2.12819i | −0.306851 | − | 0.951757i | ||||
\(6\) | 1.68614 | − | 0.396143i | 0.688364 | − | 0.161725i | ||||
\(7\) | 2.50000 | − | 0.866025i | 0.944911 | − | 0.327327i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −2.50000 | − | 1.65831i | −0.833333 | − | 0.552771i | ||||
\(10\) | 1.50000 | − | 1.65831i | 0.474342 | − | 0.524404i | ||||
\(11\) | −0.813859 | − | 0.469882i | −0.245388 | − | 0.141675i | 0.372263 | − | 0.928127i | \(-0.378582\pi\) |
−0.617651 | + | 0.786453i | \(0.711915\pi\) | |||||||
\(12\) | 1.18614 | + | 1.26217i | 0.342409 | + | 0.364357i | ||||
\(13\) | 2.00000 | 0.554700 | 0.277350 | − | 0.960769i | \(-0.410544\pi\) | ||||
0.277350 | + | 0.960769i | \(0.410544\pi\) | |||||||
\(14\) | 2.00000 | + | 1.73205i | 0.534522 | + | 0.462910i | ||||
\(15\) | −3.87228 | + | 0.0737384i | −0.999819 | + | 0.0190392i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 5.74456 | + | 3.31662i | 1.39326 | + | 0.804400i | 0.993675 | − | 0.112296i | \(-0.0358205\pi\) |
0.399586 | + | 0.916696i | \(0.369154\pi\) | |||||||
\(18\) | 0.186141 | − | 2.99422i | 0.0438738 | − | 0.705744i | ||||
\(19\) | −3.00000 | + | 1.73205i | −0.688247 | + | 0.397360i | −0.802955 | − | 0.596040i | \(-0.796740\pi\) |
0.114708 | + | 0.993399i | \(0.463407\pi\) | |||||||
\(20\) | 2.18614 | + | 0.469882i | 0.488836 | + | 0.105069i | ||||
\(21\) | −0.186141 | − | 4.57879i | −0.0406192 | − | 0.999175i | ||||
\(22\) | − | 0.939764i | − | 0.200358i | ||||||
\(23\) | −0.686141 | − | 1.18843i | −0.143070 | − | 0.247805i | 0.785581 | − | 0.618759i | \(-0.212364\pi\) |
−0.928651 | + | 0.370954i | \(0.879031\pi\) | |||||||
\(24\) | −0.500000 | + | 1.65831i | −0.102062 | + | 0.338502i | ||||
\(25\) | −4.05842 | + | 2.92048i | −0.811684 | + | 0.584096i | ||||
\(26\) | 1.00000 | + | 1.73205i | 0.196116 | + | 0.339683i | ||||
\(27\) | −4.00000 | + | 3.31662i | −0.769800 | + | 0.638285i | ||||
\(28\) | −0.500000 | + | 2.59808i | −0.0944911 | + | 0.490990i | ||||
\(29\) | 3.31662i | 0.615882i | 0.951405 | + | 0.307941i | \(0.0996399\pi\) | ||||
−0.951405 | + | 0.307941i | \(0.900360\pi\) | |||||||
\(30\) | −2.00000 | − | 3.31662i | −0.365148 | − | 0.605530i | ||||
\(31\) | 6.55842 | + | 3.78651i | 1.17793 | + | 0.680077i | 0.955534 | − | 0.294880i | \(-0.0952798\pi\) |
0.222393 | + | 0.974957i | \(0.428613\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −1.18614 | + | 1.11469i | −0.206481 | + | 0.194043i | ||||
\(34\) | 6.63325i | 1.13759i | ||||||||
\(35\) | −3.55842 | − | 4.72627i | −0.601483 | − | 0.798886i | ||||
\(36\) | 2.68614 | − | 1.33591i | 0.447690 | − | 0.222651i | ||||
\(37\) | −7.11684 | + | 4.10891i | −1.17000 | + | 0.675501i | −0.953681 | − | 0.300821i | \(-0.902739\pi\) |
−0.216321 | + | 0.976322i | \(0.569406\pi\) | |||||||
\(38\) | −3.00000 | − | 1.73205i | −0.486664 | − | 0.280976i | ||||
\(39\) | 1.00000 | − | 3.31662i | 0.160128 | − | 0.531085i | ||||
\(40\) | 0.686141 | + | 2.12819i | 0.108488 | + | 0.336497i | ||||
\(41\) | −7.37228 | −1.15136 | −0.575678 | − | 0.817676i | \(-0.695262\pi\) | ||||
−0.575678 | + | 0.817676i | \(0.695262\pi\) | |||||||
\(42\) | 3.87228 | − | 2.45060i | 0.597506 | − | 0.378136i | ||||
\(43\) | 1.08724i | 0.165803i | 0.996558 | + | 0.0829013i | \(0.0264186\pi\) | ||||
−0.996558 | + | 0.0829013i | \(0.973581\pi\) | |||||||
\(44\) | 0.813859 | − | 0.469882i | 0.122694 | − | 0.0708374i | ||||
\(45\) | −1.81386 | + | 6.45832i | −0.270394 | + | 0.962750i | ||||
\(46\) | 0.686141 | − | 1.18843i | 0.101166 | − | 0.175225i | ||||
\(47\) | 7.37228 | − | 4.25639i | 1.07536 | − | 0.620858i | 0.145717 | − | 0.989326i | \(-0.453451\pi\) |
0.929640 | + | 0.368468i | \(0.120118\pi\) | |||||||
\(48\) | −1.68614 | + | 0.396143i | −0.243373 | + | 0.0571784i | ||||
\(49\) | 5.50000 | − | 4.33013i | 0.785714 | − | 0.618590i | ||||
\(50\) | −4.55842 | − | 2.05446i | −0.644658 | − | 0.290544i | ||||
\(51\) | 8.37228 | − | 7.86797i | 1.17235 | − | 1.10174i | ||||
\(52\) | −1.00000 | + | 1.73205i | −0.138675 | + | 0.240192i | ||||
\(53\) | −2.18614 | + | 3.78651i | −0.300290 | + | 0.520117i | −0.976201 | − | 0.216866i | \(-0.930417\pi\) |
0.675912 | + | 0.736982i | \(0.263750\pi\) | |||||||
\(54\) | −4.87228 | − | 1.80579i | −0.663034 | − | 0.245737i | ||||
\(55\) | −0.441578 | + | 2.05446i | −0.0595424 | + | 0.277023i | ||||
\(56\) | −2.50000 | + | 0.866025i | −0.334077 | + | 0.115728i | ||||
\(57\) | 1.37228 | + | 5.84096i | 0.181763 | + | 0.773654i | ||||
\(58\) | −2.87228 | + | 1.65831i | −0.377149 | + | 0.217747i | ||||
\(59\) | 6.55842 | − | 11.3595i | 0.853834 | − | 1.47888i | −0.0238889 | − | 0.999715i | \(-0.507605\pi\) |
0.877723 | − | 0.479169i | \(-0.159062\pi\) | |||||||
\(60\) | 1.87228 | − | 3.39036i | 0.241710 | − | 0.437694i | ||||
\(61\) | −11.0584 | + | 6.38458i | −1.41589 | + | 0.817462i | −0.995934 | − | 0.0900844i | \(-0.971286\pi\) |
−0.419952 | + | 0.907546i | \(0.637953\pi\) | |||||||
\(62\) | 7.57301i | 0.961774i | ||||||||
\(63\) | −7.68614 | − | 1.98072i | −0.968363 | − | 0.249547i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −1.37228 | − | 4.25639i | −0.170211 | − | 0.527940i | ||||
\(66\) | −1.55842 | − | 0.469882i | −0.191828 | − | 0.0578385i | ||||
\(67\) | 2.05842 | + | 1.18843i | 0.251476 | + | 0.145190i | 0.620440 | − | 0.784254i | \(-0.286954\pi\) |
−0.368964 | + | 0.929444i | \(0.620287\pi\) | |||||||
\(68\) | −5.74456 | + | 3.31662i | −0.696631 | + | 0.402200i | ||||
\(69\) | −2.31386 | + | 0.543620i | −0.278556 | + | 0.0654442i | ||||
\(70\) | 2.31386 | − | 5.44482i | 0.276559 | − | 0.650780i | ||||
\(71\) | 8.51278i | 1.01028i | 0.863037 | + | 0.505140i | \(0.168559\pi\) | ||||
−0.863037 | + | 0.505140i | \(0.831441\pi\) | |||||||
\(72\) | 2.50000 | + | 1.65831i | 0.294628 | + | 0.195434i | ||||
\(73\) | −1.00000 | + | 1.73205i | −0.117041 | + | 0.202721i | −0.918594 | − | 0.395203i | \(-0.870674\pi\) |
0.801553 | + | 0.597924i | \(0.204008\pi\) | |||||||
\(74\) | −7.11684 | − | 4.10891i | −0.827316 | − | 0.477651i | ||||
\(75\) | 2.81386 | + | 8.19037i | 0.324916 | + | 0.945743i | ||||
\(76\) | − | 3.46410i | − | 0.397360i | ||||||
\(77\) | −2.44158 | − | 0.469882i | −0.278244 | − | 0.0535480i | ||||
\(78\) | 3.37228 | − | 0.792287i | 0.381836 | − | 0.0897088i | ||||
\(79\) | −4.55842 | − | 7.89542i | −0.512863 | − | 0.888304i | −0.999889 | − | 0.0149166i | \(-0.995252\pi\) |
0.487026 | − | 0.873387i | \(-0.338082\pi\) | |||||||
\(80\) | −1.50000 | + | 1.65831i | −0.167705 | + | 0.185405i | ||||
\(81\) | 3.50000 | + | 8.29156i | 0.388889 | + | 0.921285i | ||||
\(82\) | −3.68614 | − | 6.38458i | −0.407066 | − | 0.705059i | ||||
\(83\) | − | 11.8294i | − | 1.29845i | −0.760598 | − | 0.649223i | \(-0.775094\pi\) | ||
0.760598 | − | 0.649223i | \(-0.224906\pi\) | |||||||
\(84\) | 4.05842 | + | 2.12819i | 0.442810 | + | 0.232205i | ||||
\(85\) | 3.11684 | − | 14.5012i | 0.338069 | − | 1.57288i | ||||
\(86\) | −0.941578 | + | 0.543620i | −0.101533 | + | 0.0586201i | ||||
\(87\) | 5.50000 | + | 1.65831i | 0.589662 | + | 0.177790i | ||||
\(88\) | 0.813859 | + | 0.469882i | 0.0867577 | + | 0.0500896i | ||||
\(89\) | 0.686141 | + | 1.18843i | 0.0727308 | + | 0.125973i | 0.900097 | − | 0.435689i | \(-0.143495\pi\) |
−0.827366 | + | 0.561662i | \(0.810162\pi\) | |||||||
\(90\) | −6.50000 | + | 1.65831i | −0.685160 | + | 0.174801i | ||||
\(91\) | 5.00000 | − | 1.73205i | 0.524142 | − | 0.181568i | ||||
\(92\) | 1.37228 | 0.143070 | ||||||||
\(93\) | 9.55842 | − | 8.98266i | 0.991162 | − | 0.931458i | ||||
\(94\) | 7.37228 | + | 4.25639i | 0.760393 | + | 0.439013i | ||||
\(95\) | 5.74456 | + | 5.19615i | 0.589380 | + | 0.533114i | ||||
\(96\) | −1.18614 | − | 1.26217i | −0.121060 | − | 0.128820i | ||||
\(97\) | 15.1168 | 1.53488 | 0.767441 | − | 0.641119i | \(-0.221530\pi\) | ||||
0.767441 | + | 0.641119i | \(0.221530\pi\) | |||||||
\(98\) | 6.50000 | + | 2.59808i | 0.656599 | + | 0.262445i | ||||
\(99\) | 1.25544 | + | 2.52434i | 0.126176 | + | 0.253705i | ||||
\(100\) | −0.500000 | − | 4.97494i | −0.0500000 | − | 0.497494i | ||||
\(101\) | −5.31386 | + | 9.20387i | −0.528749 | + | 0.915820i | 0.470689 | + | 0.882299i | \(0.344005\pi\) |
−0.999438 | + | 0.0335207i | \(0.989328\pi\) | |||||||
\(102\) | 11.0000 | + | 3.31662i | 1.08916 | + | 0.328395i | ||||
\(103\) | 1.05842 | + | 1.83324i | 0.104289 | + | 0.180635i | 0.913448 | − | 0.406956i | \(-0.133410\pi\) |
−0.809158 | + | 0.587591i | \(0.800077\pi\) | |||||||
\(104\) | −2.00000 | −0.196116 | ||||||||
\(105\) | −9.61684 | + | 3.53784i | −0.938508 | + | 0.345258i | ||||
\(106\) | −4.37228 | −0.424674 | ||||||||
\(107\) | 3.12772 | + | 5.41737i | 0.302368 | + | 0.523717i | 0.976672 | − | 0.214737i | \(-0.0688895\pi\) |
−0.674304 | + | 0.738454i | \(0.735556\pi\) | |||||||
\(108\) | −0.872281 | − | 5.12241i | −0.0839353 | − | 0.492905i | ||||
\(109\) | 4.05842 | − | 7.02939i | 0.388726 | − | 0.673294i | −0.603552 | − | 0.797324i | \(-0.706248\pi\) |
0.992278 | + | 0.124030i | \(0.0395818\pi\) | |||||||
\(110\) | −2.00000 | + | 0.644810i | −0.190693 | + | 0.0614802i | ||||
\(111\) | 3.25544 | + | 13.8564i | 0.308992 | + | 1.31519i | ||||
\(112\) | −2.00000 | − | 1.73205i | −0.188982 | − | 0.163663i | ||||
\(113\) | 14.7446 | 1.38705 | 0.693526 | − | 0.720432i | \(-0.256056\pi\) | ||||
0.693526 | + | 0.720432i | \(0.256056\pi\) | |||||||
\(114\) | −4.37228 | + | 4.10891i | −0.409502 | + | 0.384835i | ||||
\(115\) | −2.05842 | + | 2.27567i | −0.191949 | + | 0.212207i | ||||
\(116\) | −2.87228 | − | 1.65831i | −0.266685 | − | 0.153970i | ||||
\(117\) | −5.00000 | − | 3.31662i | −0.462250 | − | 0.306622i | ||||
\(118\) | 13.1168 | 1.20750 | ||||||||
\(119\) | 17.2337 | + | 3.31662i | 1.57981 | + | 0.304034i | ||||
\(120\) | 3.87228 | − | 0.0737384i | 0.353489 | − | 0.00673137i | ||||
\(121\) | −5.05842 | − | 8.76144i | −0.459857 | − | 0.796495i | ||||
\(122\) | −11.0584 | − | 6.38458i | −1.00118 | − | 0.578033i | ||||
\(123\) | −3.68614 | + | 12.2255i | −0.332368 | + | 1.10234i | ||||
\(124\) | −6.55842 | + | 3.78651i | −0.588964 | + | 0.340038i | ||||
\(125\) | 9.00000 | + | 6.63325i | 0.804984 | + | 0.593296i | ||||
\(126\) | −2.12772 | − | 7.64675i | −0.189552 | − | 0.681227i | ||||
\(127\) | − | 7.57301i | − | 0.671996i | −0.941863 | − | 0.335998i | \(-0.890926\pi\) | ||
0.941863 | − | 0.335998i | \(-0.109074\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 1.80298 | + | 0.543620i | 0.158744 | + | 0.0478631i | ||||
\(130\) | 3.00000 | − | 3.31662i | 0.263117 | − | 0.290887i | ||||
\(131\) | −5.18614 | − | 8.98266i | −0.453115 | − | 0.784819i | 0.545462 | − | 0.838135i | \(-0.316354\pi\) |
−0.998578 | + | 0.0533167i | \(0.983021\pi\) | |||||||
\(132\) | −0.372281 | − | 1.58457i | −0.0324029 | − | 0.137919i | ||||
\(133\) | −6.00000 | + | 6.92820i | −0.520266 | + | 0.600751i | ||||
\(134\) | 2.37686i | 0.205330i | ||||||||
\(135\) | 9.80298 | + | 6.23711i | 0.843707 | + | 0.536805i | ||||
\(136\) | −5.74456 | − | 3.31662i | −0.492592 | − | 0.284398i | ||||
\(137\) | −4.37228 | + | 7.57301i | −0.373549 | + | 0.647006i | −0.990109 | − | 0.140302i | \(-0.955193\pi\) |
0.616560 | + | 0.787308i | \(0.288526\pi\) | |||||||
\(138\) | −1.62772 | − | 1.73205i | −0.138561 | − | 0.147442i | ||||
\(139\) | − | 8.21782i | − | 0.697027i | −0.937304 | − | 0.348513i | \(-0.886687\pi\) | ||
0.937304 | − | 0.348513i | \(-0.113313\pi\) | |||||||
\(140\) | 5.87228 | − | 0.718549i | 0.496298 | − | 0.0607284i | ||||
\(141\) | −3.37228 | − | 14.3537i | −0.283997 | − | 1.20880i | ||||
\(142\) | −7.37228 | + | 4.25639i | −0.618668 | + | 0.357188i | ||||
\(143\) | −1.62772 | − | 0.939764i | −0.136117 | − | 0.0785870i | ||||
\(144\) | −0.186141 | + | 2.99422i | −0.0155117 | + | 0.249518i | ||||
\(145\) | 7.05842 | − | 2.27567i | 0.586170 | − | 0.188984i | ||||
\(146\) | −2.00000 | −0.165521 | ||||||||
\(147\) | −4.43070 | − | 11.2858i | −0.365438 | − | 0.930836i | ||||
\(148\) | − | 8.21782i | − | 0.675501i | ||||||
\(149\) | −7.80298 | + | 4.50506i | −0.639245 | + | 0.369069i | −0.784324 | − | 0.620352i | \(-0.786990\pi\) |
0.145078 | + | 0.989420i | \(0.453657\pi\) | |||||||
\(150\) | −5.68614 | + | 6.53206i | −0.464271 | + | 0.533340i | ||||
\(151\) | −4.55842 | + | 7.89542i | −0.370959 | + | 0.642520i | −0.989713 | − | 0.143065i | \(-0.954304\pi\) |
0.618754 | + | 0.785585i | \(0.287638\pi\) | |||||||
\(152\) | 3.00000 | − | 1.73205i | 0.243332 | − | 0.140488i | ||||
\(153\) | −8.86141 | − | 17.8178i | −0.716402 | − | 1.44049i | ||||
\(154\) | −0.813859 | − | 2.34941i | −0.0655827 | − | 0.189321i | ||||
\(155\) | 3.55842 | − | 16.5557i | 0.285819 | − | 1.32978i | ||||
\(156\) | 2.37228 | + | 2.52434i | 0.189935 | + | 0.202109i | ||||
\(157\) | −4.00000 | + | 6.92820i | −0.319235 | + | 0.552931i | −0.980329 | − | 0.197372i | \(-0.936759\pi\) |
0.661094 | + | 0.750303i | \(0.270093\pi\) | |||||||
\(158\) | 4.55842 | − | 7.89542i | 0.362649 | − | 0.628126i | ||||
\(159\) | 5.18614 | + | 5.51856i | 0.411288 | + | 0.437650i | ||||
\(160\) | −2.18614 | − | 0.469882i | −0.172830 | − | 0.0371474i | ||||
\(161\) | −2.74456 | − | 2.37686i | −0.216302 | − | 0.187323i | ||||
\(162\) | −5.43070 | + | 7.17687i | −0.426676 | + | 0.563868i | ||||
\(163\) | −3.00000 | + | 1.73205i | −0.234978 | + | 0.135665i | −0.612866 | − | 0.790186i | \(-0.709984\pi\) |
0.377888 | + | 0.925851i | \(0.376650\pi\) | |||||||
\(164\) | 3.68614 | − | 6.38458i | 0.287839 | − | 0.498552i | ||||
\(165\) | 3.18614 | + | 1.75950i | 0.248041 | + | 0.136977i | ||||
\(166\) | 10.2446 | − | 5.91470i | 0.795132 | − | 0.459070i | ||||
\(167\) | − | 14.6487i | − | 1.13355i | −0.823873 | − | 0.566775i | \(-0.808191\pi\) | ||
0.823873 | − | 0.566775i | \(-0.191809\pi\) | |||||||
\(168\) | 0.186141 | + | 4.57879i | 0.0143611 | + | 0.353262i | ||||
\(169\) | −9.00000 | −0.692308 | ||||||||
\(170\) | 14.1168 | − | 4.55134i | 1.08271 | − | 0.349072i | ||||
\(171\) | 10.3723 | + | 0.644810i | 0.793188 | + | 0.0493099i | ||||
\(172\) | −0.941578 | − | 0.543620i | −0.0717947 | − | 0.0414507i | ||||
\(173\) | −14.7446 | + | 8.51278i | −1.12101 | + | 0.647214i | −0.941658 | − | 0.336571i | \(-0.890733\pi\) |
−0.179350 | + | 0.983785i | \(0.557400\pi\) | |||||||
\(174\) | 1.31386 | + | 5.59230i | 0.0996034 | + | 0.423951i | ||||
\(175\) | −7.61684 | + | 10.8159i | −0.575779 | + | 0.817605i | ||||
\(176\) | 0.939764i | 0.0708374i | ||||||||
\(177\) | −15.5584 | − | 16.5557i | −1.16944 | − | 1.24440i | ||||
\(178\) | −0.686141 | + | 1.18843i | −0.0514284 | + | 0.0890766i | ||||
\(179\) | −20.4891 | − | 11.8294i | −1.53143 | − | 0.884171i | −0.999296 | − | 0.0375102i | \(-0.988057\pi\) |
−0.532133 | − | 0.846661i | \(-0.678609\pi\) | |||||||
\(180\) | −4.68614 | − | 4.80001i | −0.349284 | − | 0.357772i | ||||
\(181\) | − | 8.01544i | − | 0.595783i | −0.954600 | − | 0.297892i | \(-0.903717\pi\) | ||
0.954600 | − | 0.297892i | \(-0.0962834\pi\) | |||||||
\(182\) | 4.00000 | + | 3.46410i | 0.296500 | + | 0.256776i | ||||
\(183\) | 5.05842 | + | 21.5306i | 0.373929 | + | 1.59159i | ||||
\(184\) | 0.686141 | + | 1.18843i | 0.0505830 | + | 0.0876123i | ||||
\(185\) | 13.6277 | + | 12.3267i | 1.00193 | + | 0.906280i | ||||
\(186\) | 12.5584 | + | 3.78651i | 0.920828 | + | 0.277640i | ||||
\(187\) | −3.11684 | − | 5.39853i | −0.227926 | − | 0.394780i | ||||
\(188\) | 8.51278i | 0.620858i | ||||||||
\(189\) | −7.12772 | + | 11.7557i | −0.518465 | + | 0.855099i | ||||
\(190\) | −1.62772 | + | 7.57301i | −0.118087 | + | 0.549404i | ||||
\(191\) | −14.7446 | + | 8.51278i | −1.06688 | + | 0.615963i | −0.927327 | − | 0.374252i | \(-0.877900\pi\) |
−0.139552 | + | 0.990215i | \(0.544566\pi\) | |||||||
\(192\) | 0.500000 | − | 1.65831i | 0.0360844 | − | 0.119678i | ||||
\(193\) | −15.5584 | − | 8.98266i | −1.11992 | − | 0.646586i | −0.178539 | − | 0.983933i | \(-0.557137\pi\) |
−0.941380 | + | 0.337347i | \(0.890470\pi\) | |||||||
\(194\) | 7.55842 | + | 13.0916i | 0.542663 | + | 0.939920i | ||||
\(195\) | −7.74456 | + | 0.147477i | −0.554600 | + | 0.0105610i | ||||
\(196\) | 1.00000 | + | 6.92820i | 0.0714286 | + | 0.494872i | ||||
\(197\) | −14.2337 | −1.01411 | −0.507054 | − | 0.861914i | \(-0.669266\pi\) | ||||
−0.507054 | + | 0.861914i | \(0.669266\pi\) | |||||||
\(198\) | −1.55842 | + | 2.34941i | −0.110752 | + | 0.166965i | ||||
\(199\) | 1.11684 | + | 0.644810i | 0.0791710 | + | 0.0457094i | 0.539063 | − | 0.842266i | \(-0.318779\pi\) |
−0.459892 | + | 0.887975i | \(0.652112\pi\) | |||||||
\(200\) | 4.05842 | − | 2.92048i | 0.286974 | − | 0.206509i | ||||
\(201\) | 3.00000 | − | 2.81929i | 0.211604 | − | 0.198857i | ||||
\(202\) | −10.6277 | −0.747764 | ||||||||
\(203\) | 2.87228 | + | 8.29156i | 0.201595 | + | 0.581954i | ||||
\(204\) | 2.62772 | + | 11.1846i | 0.183977 | + | 0.783078i | ||||
\(205\) | 5.05842 | + | 15.6896i | 0.353296 | + | 1.09581i | ||||
\(206\) | −1.05842 | + | 1.83324i | −0.0737438 | + | 0.127728i | ||||
\(207\) | −0.255437 | + | 4.10891i | −0.0177541 | + | 0.285589i | ||||
\(208\) | −1.00000 | − | 1.73205i | −0.0693375 | − | 0.120096i | ||||
\(209\) | 3.25544 | 0.225183 | ||||||||
\(210\) | −7.87228 | − | 6.55951i | −0.543239 | − | 0.452649i | ||||
\(211\) | 16.2337 | 1.11757 | 0.558787 | − | 0.829311i | \(-0.311267\pi\) | ||||
0.558787 | + | 0.829311i | \(0.311267\pi\) | |||||||
\(212\) | −2.18614 | − | 3.78651i | −0.150145 | − | 0.260058i | ||||
\(213\) | 14.1168 | + | 4.25639i | 0.967270 | + | 0.291643i | ||||
\(214\) | −3.12772 | + | 5.41737i | −0.213806 | + | 0.370324i | ||||
\(215\) | 2.31386 | − | 0.746000i | 0.157804 | − | 0.0508768i | ||||
\(216\) | 4.00000 | − | 3.31662i | 0.272166 | − | 0.225668i | ||||
\(217\) | 19.6753 | + | 3.78651i | 1.33564 | + | 0.257045i | ||||
\(218\) | 8.11684 | 0.549742 | ||||||||
\(219\) | 2.37228 | + | 2.52434i | 0.160304 | + | 0.170579i | ||||
\(220\) | −1.55842 | − | 1.40965i | −0.105069 | − | 0.0950383i | ||||
\(221\) | 11.4891 | + | 6.63325i | 0.772842 | + | 0.446201i | ||||
\(222\) | −10.3723 | + | 9.74749i | −0.696142 | + | 0.654209i | ||||
\(223\) | 0.883156 | 0.0591405 | 0.0295703 | − | 0.999563i | \(-0.490586\pi\) | ||||
0.0295703 | + | 0.999563i | \(0.490586\pi\) | |||||||
\(224\) | 0.500000 | − | 2.59808i | 0.0334077 | − | 0.173591i | ||||
\(225\) | 14.9891 | − | 0.571072i | 0.999275 | − | 0.0380715i | ||||
\(226\) | 7.37228 | + | 12.7692i | 0.490397 | + | 0.849392i | ||||
\(227\) | −18.0475 | − | 10.4198i | −1.19786 | − | 0.691584i | −0.237781 | − | 0.971319i | \(-0.576420\pi\) |
−0.960077 | + | 0.279735i | \(0.909753\pi\) | |||||||
\(228\) | −5.74456 | − | 1.73205i | −0.380443 | − | 0.114708i | ||||
\(229\) | 12.0000 | − | 6.92820i | 0.792982 | − | 0.457829i | −0.0480291 | − | 0.998846i | \(-0.515294\pi\) |
0.841011 | + | 0.541017i | \(0.181961\pi\) | |||||||
\(230\) | −3.00000 | − | 0.644810i | −0.197814 | − | 0.0425175i | ||||
\(231\) | −2.00000 | + | 3.81396i | −0.131590 | + | 0.250940i | ||||
\(232\) | − | 3.31662i | − | 0.217747i | ||||||
\(233\) | −0.255437 | − | 0.442430i | −0.0167343 | − | 0.0289846i | 0.857537 | − | 0.514422i | \(-0.171994\pi\) |
−0.874271 | + | 0.485438i | \(0.838660\pi\) | |||||||
\(234\) | 0.372281 | − | 5.98844i | 0.0243368 | − | 0.391477i | ||||
\(235\) | −14.1168 | − | 12.7692i | −0.920881 | − | 0.832969i | ||||
\(236\) | 6.55842 | + | 11.3595i | 0.426917 | + | 0.739442i | ||||
\(237\) | −15.3723 | + | 3.61158i | −0.998537 | + | 0.234597i | ||||
\(238\) | 5.74456 | + | 16.5831i | 0.372365 | + | 1.07492i | ||||
\(239\) | 23.6588i | 1.53036i | 0.643816 | + | 0.765180i | \(0.277350\pi\) | ||||
−0.643816 | + | 0.765180i | \(0.722650\pi\) | |||||||
\(240\) | 2.00000 | + | 3.31662i | 0.129099 | + | 0.214087i | ||||
\(241\) | −16.6753 | − | 9.62747i | −1.07415 | − | 0.620160i | −0.144836 | − | 0.989456i | \(-0.546266\pi\) |
−0.929312 | + | 0.369296i | \(0.879599\pi\) | |||||||
\(242\) | 5.05842 | − | 8.76144i | 0.325168 | − | 0.563207i | ||||
\(243\) | 15.5000 | − | 1.65831i | 0.994325 | − | 0.106381i | ||||
\(244\) | − | 12.7692i | − | 0.817462i | ||||||
\(245\) | −12.9891 | − | 8.73399i | −0.829845 | − | 0.557994i | ||||
\(246\) | −12.4307 | + | 2.92048i | −0.792553 | + | 0.186203i | ||||
\(247\) | −6.00000 | + | 3.46410i | −0.381771 | + | 0.220416i | ||||
\(248\) | −6.55842 | − | 3.78651i | −0.416460 | − | 0.240443i | ||||
\(249\) | −19.6168 | − | 5.91470i | −1.24317 | − | 0.374829i | ||||
\(250\) | −1.24456 | + | 11.1109i | −0.0787131 | + | 0.702712i | ||||
\(251\) | 1.11684 | 0.0704946 | 0.0352473 | − | 0.999379i | \(-0.488778\pi\) | ||||
0.0352473 | + | 0.999379i | \(0.488778\pi\) | |||||||
\(252\) | 5.55842 | − | 5.66603i | 0.350148 | − | 0.356927i | ||||
\(253\) | 1.28962i | 0.0810777i | ||||||||
\(254\) | 6.55842 | − | 3.78651i | 0.411512 | − | 0.237587i | ||||
\(255\) | −22.4891 | − | 12.4193i | −1.40832 | − | 0.777727i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −1.62772 | + | 0.939764i | −0.101534 | + | 0.0586209i | −0.549907 | − | 0.835226i | \(-0.685337\pi\) |
0.448373 | + | 0.893847i | \(0.352004\pi\) | |||||||
\(258\) | 0.430703 | + | 1.83324i | 0.0268144 | + | 0.114133i | ||||
\(259\) | −14.2337 | + | 16.4356i | −0.884438 | + | 1.02126i | ||||
\(260\) | 4.37228 | + | 0.939764i | 0.271157 | + | 0.0582817i | ||||
\(261\) | 5.50000 | − | 8.29156i | 0.340441 | − | 0.513235i | ||||
\(262\) | 5.18614 | − | 8.98266i | 0.320401 | − | 0.554951i | ||||
\(263\) | 3.68614 | − | 6.38458i | 0.227297 | − | 0.393690i | −0.729709 | − | 0.683758i | \(-0.760344\pi\) |
0.957006 | + | 0.290068i | \(0.0936778\pi\) | |||||||
\(264\) | 1.18614 | − | 1.11469i | 0.0730019 | − | 0.0686046i | ||||
\(265\) | 9.55842 | + | 2.05446i | 0.587169 | + | 0.126204i | ||||
\(266\) | −9.00000 | − | 1.73205i | −0.551825 | − | 0.106199i | ||||
\(267\) | 2.31386 | − | 0.543620i | 0.141606 | − | 0.0332690i | ||||
\(268\) | −2.05842 | + | 1.18843i | −0.125738 | + | 0.0725949i | ||||
\(269\) | 12.9891 | − | 22.4978i | 0.791961 | − | 1.37172i | −0.132790 | − | 0.991144i | \(-0.542394\pi\) |
0.924751 | − | 0.380572i | \(-0.124273\pi\) | |||||||
\(270\) | −0.500000 | + | 11.6082i | −0.0304290 | + | 0.706452i | ||||
\(271\) | 7.67527 | − | 4.43132i | 0.466239 | − | 0.269183i | −0.248425 | − | 0.968651i | \(-0.579913\pi\) |
0.714664 | + | 0.699468i | \(0.246580\pi\) | |||||||
\(272\) | − | 6.63325i | − | 0.402200i | ||||||
\(273\) | −0.372281 | − | 9.15759i | −0.0225315 | − | 0.554242i | ||||
\(274\) | −8.74456 | −0.528278 | ||||||||
\(275\) | 4.67527 | − | 0.469882i | 0.281929 | − | 0.0283349i | ||||
\(276\) | 0.686141 | − | 2.27567i | 0.0413008 | − | 0.136979i | ||||
\(277\) | 7.88316 | + | 4.55134i | 0.473653 | + | 0.273464i | 0.717768 | − | 0.696283i | \(-0.245164\pi\) |
−0.244115 | + | 0.969746i | \(0.578497\pi\) | |||||||
\(278\) | 7.11684 | − | 4.10891i | 0.426840 | − | 0.246436i | ||||
\(279\) | −10.1168 | − | 20.3422i | −0.605680 | − | 1.21785i | ||||
\(280\) | 3.55842 | + | 4.72627i | 0.212656 | + | 0.282449i | ||||
\(281\) | − | 11.3870i | − | 0.679290i | −0.940554 | − | 0.339645i | \(-0.889693\pi\) | ||
0.940554 | − | 0.339645i | \(-0.110307\pi\) | |||||||
\(282\) | 10.7446 | − | 10.0974i | 0.639829 | − | 0.601289i | ||||
\(283\) | 8.00000 | − | 13.8564i | 0.475551 | − | 0.823678i | −0.524057 | − | 0.851683i | \(-0.675582\pi\) |
0.999608 | + | 0.0280052i | \(0.00891551\pi\) | |||||||
\(284\) | −7.37228 | − | 4.25639i | −0.437464 | − | 0.252570i | ||||
\(285\) | 11.4891 | − | 6.92820i | 0.680557 | − | 0.410391i | ||||
\(286\) | − | 1.87953i | − | 0.111139i | ||||||
\(287\) | −18.4307 | + | 6.38458i | −1.08793 | + | 0.376870i | ||||
\(288\) | −2.68614 | + | 1.33591i | −0.158282 | + | 0.0787191i | ||||
\(289\) | 13.5000 | + | 23.3827i | 0.794118 | + | 1.37545i | ||||
\(290\) | 5.50000 | + | 4.97494i | 0.322971 | + | 0.292138i | ||||
\(291\) | 7.55842 | − | 25.0684i | 0.443083 | − | 1.46954i | ||||
\(292\) | −1.00000 | − | 1.73205i | −0.0585206 | − | 0.101361i | ||||
\(293\) | 21.7244i | 1.26915i | 0.772861 | + | 0.634576i | \(0.218825\pi\) | ||||
−0.772861 | + | 0.634576i | \(0.781175\pi\) | |||||||
\(294\) | 7.55842 | − | 9.47999i | 0.440816 | − | 0.552884i | ||||
\(295\) | −28.6753 | − | 6.16337i | −1.66954 | − | 0.358845i | ||||
\(296\) | 7.11684 | − | 4.10891i | 0.413658 | − | 0.238826i | ||||
\(297\) | 4.81386 | − | 0.819738i | 0.279328 | − | 0.0475660i | ||||
\(298\) | −7.80298 | − | 4.50506i | −0.452015 | − | 0.260971i | ||||
\(299\) | −1.37228 | − | 2.37686i | −0.0793611 | − | 0.137457i | ||||
\(300\) | −8.50000 | − | 1.65831i | −0.490748 | − | 0.0957427i | ||||
\(301\) | 0.941578 | + | 2.71810i | 0.0542717 | + | 0.156669i | ||||
\(302\) | −9.11684 | −0.524615 | ||||||||
\(303\) | 12.6060 | + | 13.4140i | 0.724194 | + | 0.770613i | ||||
\(304\) | 3.00000 | + | 1.73205i | 0.172062 | + | 0.0993399i | ||||
\(305\) | 21.1753 | + | 19.1537i | 1.21249 | + | 1.09674i | ||||
\(306\) | 11.0000 | − | 16.5831i | 0.628828 | − | 0.947994i | ||||
\(307\) | 24.1168 | 1.37642 | 0.688210 | − | 0.725511i | \(-0.258397\pi\) | ||||
0.688210 | + | 0.725511i | \(0.258397\pi\) | |||||||
\(308\) | 1.62772 | − | 1.87953i | 0.0927479 | − | 0.107096i | ||||
\(309\) | 3.56930 | − | 0.838574i | 0.203050 | − | 0.0477048i | ||||
\(310\) | 16.1168 | − | 5.19615i | 0.915375 | − | 0.295122i | ||||
\(311\) | −10.1168 | + | 17.5229i | −0.573674 | + | 0.993632i | 0.422511 | + | 0.906358i | \(0.361149\pi\) |
−0.996184 | + | 0.0872739i | \(0.972184\pi\) | |||||||
\(312\) | −1.00000 | + | 3.31662i | −0.0566139 | + | 0.187767i | ||||
\(313\) | −1.55842 | − | 2.69927i | −0.0880872 | − | 0.152572i | 0.818615 | − | 0.574342i | \(-0.194742\pi\) |
−0.906703 | + | 0.421771i | \(0.861409\pi\) | |||||||
\(314\) | −8.00000 | −0.451466 | ||||||||
\(315\) | 1.05842 | + | 17.7167i | 0.0596353 | + | 0.998220i | ||||
\(316\) | 9.11684 | 0.512863 | ||||||||
\(317\) | −0.558422 | − | 0.967215i | −0.0313641 | − | 0.0543242i | 0.849917 | − | 0.526916i | \(-0.176652\pi\) |
−0.881281 | + | 0.472592i | \(0.843318\pi\) | |||||||
\(318\) | −2.18614 | + | 7.25061i | −0.122593 | + | 0.406594i | ||||
\(319\) | 1.55842 | − | 2.69927i | 0.0872549 | − | 0.151130i | ||||
\(320\) | −0.686141 | − | 2.12819i | −0.0383564 | − | 0.118970i | ||||
\(321\) | 10.5475 | − | 2.47805i | 0.588707 | − | 0.138311i | ||||
\(322\) | 0.686141 | − | 3.56529i | 0.0382371 | − | 0.198686i | ||||
\(323\) | −22.9783 | −1.27854 | ||||||||
\(324\) | −8.93070 | − | 1.11469i | −0.496150 | − | 0.0619273i | ||||
\(325\) | −8.11684 | + | 5.84096i | −0.450241 | + | 0.323998i | ||||
\(326\) | −3.00000 | − | 1.73205i | −0.166155 | − | 0.0959294i | ||||
\(327\) | −9.62772 | − | 10.2448i | −0.532414 | − | 0.566540i | ||||
\(328\) | 7.37228 | 0.407066 | ||||||||
\(329\) | 14.7446 | − | 17.0256i | 0.812894 | − | 0.938649i | ||||
\(330\) | 0.0692967 | + | 3.63903i | 0.00381466 | + | 0.200322i | ||||
\(331\) | 12.1168 | + | 20.9870i | 0.666002 | + | 1.15355i | 0.979013 | + | 0.203800i | \(0.0653291\pi\) |
−0.313011 | + | 0.949750i | \(0.601338\pi\) | |||||||
\(332\) | 10.2446 | + | 5.91470i | 0.562243 | + | 0.324611i | ||||
\(333\) | 24.6060 | + | 1.52967i | 1.34840 | + | 0.0838255i | ||||
\(334\) | 12.6861 | − | 7.32435i | 0.694155 | − | 0.400770i | ||||
\(335\) | 1.11684 | − | 5.19615i | 0.0610197 | − | 0.283896i | ||||
\(336\) | −3.87228 | + | 2.45060i | −0.211250 | + | 0.133691i | ||||
\(337\) | − | 0.644810i | − | 0.0351250i | −0.999846 | − | 0.0175625i | \(-0.994409\pi\) | ||
0.999846 | − | 0.0175625i | \(-0.00559061\pi\) | |||||||
\(338\) | −4.50000 | − | 7.79423i | −0.244768 | − | 0.423950i | ||||
\(339\) | 7.37228 | − | 24.4511i | 0.400407 | − | 1.32800i | ||||
\(340\) | 11.0000 | + | 9.94987i | 0.596559 | + | 0.539608i | ||||
\(341\) | −3.55842 | − | 6.16337i | −0.192699 | − | 0.333765i | ||||
\(342\) | 4.62772 | + | 9.30506i | 0.250238 | + | 0.503160i | ||||
\(343\) | 10.0000 | − | 15.5885i | 0.539949 | − | 0.841698i | ||||
\(344\) | − | 1.08724i | − | 0.0586201i | ||||||
\(345\) | 2.74456 | + | 4.55134i | 0.147762 | + | 0.245036i | ||||
\(346\) | −14.7446 | − | 8.51278i | −0.792673 | − | 0.457650i | ||||
\(347\) | 0.941578 | − | 1.63086i | 0.0505466 | − | 0.0875492i | −0.839645 | − | 0.543135i | \(-0.817237\pi\) |
0.890192 | + | 0.455586i | \(0.150570\pi\) | |||||||
\(348\) | −4.18614 | + | 3.93398i | −0.224401 | + | 0.210884i | ||||
\(349\) | 25.7407i | 1.37787i | 0.724824 | + | 0.688934i | \(0.241921\pi\) | ||||
−0.724824 | + | 0.688934i | \(0.758079\pi\) | |||||||
\(350\) | −13.1753 | − | 1.18843i | −0.704248 | − | 0.0635243i | ||||
\(351\) | −8.00000 | + | 6.63325i | −0.427008 | + | 0.354057i | ||||
\(352\) | −0.813859 | + | 0.469882i | −0.0433788 | + | 0.0250448i | ||||
\(353\) | 10.6277 | + | 6.13592i | 0.565656 | + | 0.326582i | 0.755413 | − | 0.655249i | \(-0.227436\pi\) |
−0.189756 | + | 0.981831i | \(0.560770\pi\) | |||||||
\(354\) | 6.55842 | − | 21.7518i | 0.348576 | − | 1.15610i | ||||
\(355\) | 18.1168 | − | 5.84096i | 0.961542 | − | 0.310006i | ||||
\(356\) | −1.37228 | −0.0727308 | ||||||||
\(357\) | 14.1168 | − | 26.9205i | 0.747143 | − | 1.42479i | ||||
\(358\) | − | 23.6588i | − | 1.25041i | ||||||
\(359\) | −23.7446 | + | 13.7089i | −1.25319 | + | 0.723530i | −0.971742 | − | 0.236047i | \(-0.924148\pi\) |
−0.281448 | + | 0.959576i | \(0.590815\pi\) | |||||||
\(360\) | 1.81386 | − | 6.45832i | 0.0955988 | − | 0.340383i | ||||
\(361\) | −3.50000 | + | 6.06218i | −0.184211 | + | 0.319062i | ||||
\(362\) | 6.94158 | − | 4.00772i | 0.364841 | − | 0.210641i | ||||
\(363\) | −17.0584 | + | 4.00772i | −0.895335 | + | 0.210351i | ||||
\(364\) | −1.00000 | + | 5.19615i | −0.0524142 | + | 0.272352i | ||||
\(365\) | 4.37228 | + | 0.939764i | 0.228856 | + | 0.0491895i | ||||
\(366\) | −16.1168 | + | 15.1460i | −0.842441 | + | 0.791696i | ||||
\(367\) | −6.61684 | + | 11.4607i | −0.345396 | + | 0.598244i | −0.985426 | − | 0.170106i | \(-0.945589\pi\) |
0.640029 | + | 0.768351i | \(0.278922\pi\) | |||||||
\(368\) | −0.686141 | + | 1.18843i | −0.0357676 | + | 0.0619512i | ||||
\(369\) | 18.4307 | + | 12.2255i | 0.959464 | + | 0.636436i | ||||
\(370\) | −3.86141 | + | 17.9653i | −0.200745 | + | 0.933972i | ||||
\(371\) | −2.18614 | + | 11.3595i | −0.113499 | + | 0.589757i | ||||
\(372\) | 3.00000 | + | 12.7692i | 0.155543 | + | 0.662050i | ||||
\(373\) | 20.2337 | − | 11.6819i | 1.04766 | − | 0.604867i | 0.125667 | − | 0.992072i | \(-0.459893\pi\) |
0.921994 | + | 0.387205i | \(0.126560\pi\) | |||||||
\(374\) | 3.11684 | − | 5.39853i | 0.161168 | − | 0.279151i | ||||
\(375\) | 15.5000 | − | 11.6082i | 0.800417 | − | 0.599444i | ||||
\(376\) | −7.37228 | + | 4.25639i | −0.380196 | + | 0.219506i | ||||
\(377\) | 6.63325i | 0.341630i | ||||||||
\(378\) | −13.7446 | − | 0.294954i | −0.706944 | − | 0.0151708i | ||||
\(379\) | −12.2337 | −0.628402 | −0.314201 | − | 0.949356i | \(-0.601737\pi\) | ||||
−0.314201 | + | 0.949356i | \(0.601737\pi\) | |||||||
\(380\) | −7.37228 | + | 2.37686i | −0.378190 | + | 0.121930i | ||||
\(381\) | −12.5584 | − | 3.78651i | −0.643387 | − | 0.193989i | ||||
\(382\) | −14.7446 | − | 8.51278i | −0.754397 | − | 0.435552i | ||||
\(383\) | 13.5475 | − | 7.82168i | 0.692247 | − | 0.399669i | −0.112206 | − | 0.993685i | \(-0.535792\pi\) |
0.804453 | + | 0.594016i | \(0.202458\pi\) | |||||||
\(384\) | 1.68614 | − | 0.396143i | 0.0860455 | − | 0.0202156i | ||||
\(385\) | 0.675266 | + | 5.51856i | 0.0344147 | + | 0.281252i | ||||
\(386\) | − | 17.9653i | − | 0.914411i | ||||||
\(387\) | 1.80298 | − | 2.71810i | 0.0916509 | − | 0.138169i | ||||
\(388\) | −7.55842 | + | 13.0916i | −0.383721 | + | 0.664624i | ||||
\(389\) | 6.51087 | + | 3.75906i | 0.330114 | + | 0.190592i | 0.655892 | − | 0.754855i | \(-0.272293\pi\) |
−0.325777 | + | 0.945446i | \(0.605626\pi\) | |||||||
\(390\) | −4.00000 | − | 6.63325i | −0.202548 | − | 0.335888i | ||||
\(391\) | − | 9.10268i | − | 0.460343i | ||||||
\(392\) | −5.50000 | + | 4.33013i | −0.277792 | + | 0.218704i | ||||
\(393\) | −17.4891 | + | 4.10891i | −0.882210 | + | 0.207267i | ||||
\(394\) | −7.11684 | − | 12.3267i | −0.358541 | − | 0.621012i | ||||
\(395\) | −13.6753 | + | 15.1186i | −0.688077 | + | 0.760698i | ||||
\(396\) | −2.81386 | − | 0.174928i | −0.141402 | − | 0.00879048i | ||||
\(397\) | −4.00000 | − | 6.92820i | −0.200754 | − | 0.347717i | 0.748017 | − | 0.663679i | \(-0.231006\pi\) |
−0.948772 | + | 0.315963i | \(0.897673\pi\) | |||||||
\(398\) | 1.28962i | 0.0646428i | ||||||||
\(399\) | 8.48913 | + | 13.4140i | 0.424988 | + | 0.671539i | ||||
\(400\) | 4.55842 | + | 2.05446i | 0.227921 | + | 0.102723i | ||||
\(401\) | 14.3139 | − | 8.26411i | 0.714800 | − | 0.412690i | −0.0980358 | − | 0.995183i | \(-0.531256\pi\) |
0.812836 | + | 0.582493i | \(0.197923\pi\) | |||||||
\(402\) | 3.94158 | + | 1.18843i | 0.196588 | + | 0.0592735i | ||||
\(403\) | 13.1168 | + | 7.57301i | 0.653397 | + | 0.377239i | ||||
\(404\) | −5.31386 | − | 9.20387i | −0.264374 | − | 0.457910i | ||||
\(405\) | 15.2446 | − | 13.1379i | 0.757508 | − | 0.652825i | ||||
\(406\) | −5.74456 | + | 6.63325i | −0.285098 | + | 0.329203i | ||||
\(407\) | 7.72281 | 0.382806 | ||||||||
\(408\) | −8.37228 | + | 7.86797i | −0.414490 | + | 0.389522i | ||||
\(409\) | 3.73369 | + | 2.15565i | 0.184619 | + | 0.106590i | 0.589461 | − | 0.807797i | \(-0.299340\pi\) |
−0.404842 | + | 0.914387i | \(0.632673\pi\) | |||||||
\(410\) | −11.0584 | + | 12.2255i | −0.546137 | + | 0.603777i | ||||
\(411\) | 10.3723 | + | 11.0371i | 0.511627 | + | 0.544421i | ||||
\(412\) | −2.11684 | −0.104289 | ||||||||
\(413\) | 6.55842 | − | 34.0786i | 0.322719 | − | 1.67690i | ||||
\(414\) | −3.68614 | + | 1.83324i | −0.181164 | + | 0.0900989i | ||||
\(415\) | −25.1753 | + | 8.11663i | −1.23581 | + | 0.398430i | ||||
\(416\) | 1.00000 | − | 1.73205i | 0.0490290 | − | 0.0849208i | ||||
\(417\) | −13.6277 | − | 4.10891i | −0.667352 | − | 0.201214i | ||||
\(418\) | 1.62772 | + | 2.81929i | 0.0796143 | + | 0.137896i | ||||
\(419\) | 6.51087 | 0.318077 | 0.159039 | − | 0.987272i | \(-0.449161\pi\) | ||||
0.159039 | + | 0.987272i | \(0.449161\pi\) | |||||||
\(420\) | 1.74456 | − | 10.0974i | 0.0851259 | − | 0.492700i | ||||
\(421\) | −2.11684 | −0.103169 | −0.0515843 | − | 0.998669i | \(-0.516427\pi\) | ||||
−0.0515843 | + | 0.998669i | \(0.516427\pi\) | |||||||
\(422\) | 8.11684 | + | 14.0588i | 0.395122 | + | 0.684371i | ||||
\(423\) | −25.4891 | − | 1.58457i | −1.23932 | − | 0.0770446i | ||||
\(424\) | 2.18614 | − | 3.78651i | 0.106168 | − | 0.183889i | ||||
\(425\) | −33.0000 | + | 3.31662i | −1.60074 | + | 0.160880i | ||||
\(426\) | 3.37228 | + | 14.3537i | 0.163388 | + | 0.695441i | ||||
\(427\) | −22.1168 | + | 25.5383i | −1.07031 | + | 1.23589i | ||||
\(428\) | −6.25544 | −0.302368 | ||||||||
\(429\) | −2.37228 | + | 2.22938i | −0.114535 | + | 0.107636i | ||||
\(430\) | 1.80298 | + | 1.63086i | 0.0869476 | + | 0.0786471i | ||||
\(431\) | 14.7446 | + | 8.51278i | 0.710221 | + | 0.410046i | 0.811143 | − | 0.584848i | \(-0.198846\pi\) |
−0.100922 | + | 0.994894i | \(0.532179\pi\) | |||||||
\(432\) | 4.87228 | + | 1.80579i | 0.234418 | + | 0.0868811i | ||||
\(433\) | −34.0000 | −1.63394 | −0.816968 | − | 0.576683i | \(-0.804347\pi\) | ||||
−0.816968 | + | 0.576683i | \(0.804347\pi\) | |||||||
\(434\) | 6.55842 | + | 18.9325i | 0.314814 | + | 0.908791i | ||||
\(435\) | −0.244563 | − | 12.8429i | −0.0117259 | − | 0.615770i | ||||
\(436\) | 4.05842 | + | 7.02939i | 0.194363 | + | 0.336647i | ||||
\(437\) | 4.11684 | + | 2.37686i | 0.196935 | + | 0.113701i | ||||
\(438\) | −1.00000 | + | 3.31662i | −0.0477818 | + | 0.158474i | ||||
\(439\) | −2.44158 | + | 1.40965i | −0.116530 | + | 0.0672787i | −0.557132 | − | 0.830424i | \(-0.688098\pi\) |
0.440602 | + | 0.897703i | \(0.354765\pi\) | |||||||
\(440\) | 0.441578 | − | 2.05446i | 0.0210514 | − | 0.0979423i | ||||
\(441\) | −20.9307 | + | 1.70460i | −0.996700 | + | 0.0811714i | ||||
\(442\) | 13.2665i | 0.631023i | ||||||||
\(443\) | 4.50000 | + | 7.79423i | 0.213801 | + | 0.370315i | 0.952901 | − | 0.303281i | \(-0.0980821\pi\) |
−0.739100 | + | 0.673596i | \(0.764749\pi\) | |||||||
\(444\) | −13.6277 | − | 4.10891i | −0.646743 | − | 0.195000i | ||||
\(445\) | 2.05842 | − | 2.27567i | 0.0975786 | − | 0.107877i | ||||
\(446\) | 0.441578 | + | 0.764836i | 0.0209093 | + | 0.0362160i | ||||
\(447\) | 3.56930 | + | 15.1923i | 0.168822 | + | 0.718572i | ||||
\(448\) | 2.50000 | − | 0.866025i | 0.118114 | − | 0.0409159i | ||||
\(449\) | 20.3971i | 0.962598i | 0.876557 | + | 0.481299i | \(0.159835\pi\) | ||||
−0.876557 | + | 0.481299i | \(0.840165\pi\) | |||||||
\(450\) | 7.98913 | + | 12.6954i | 0.376611 | + | 0.598468i | ||||
\(451\) | 6.00000 | + | 3.46410i | 0.282529 | + | 0.163118i | ||||
\(452\) | −7.37228 | + | 12.7692i | −0.346763 | + | 0.600611i | ||||
\(453\) | 10.8139 | + | 11.5070i | 0.508079 | + | 0.540646i | ||||
\(454\) | − | 20.8395i | − | 0.978047i | ||||||
\(455\) | −7.11684 | − | 9.45254i | −0.333643 | − | 0.443142i | ||||
\(456\) | −1.37228 | − | 5.84096i | −0.0642630 | − | 0.273528i | ||||
\(457\) | 2.44158 | − | 1.40965i | 0.114212 | − | 0.0659404i | −0.441806 | − | 0.897111i | \(-0.645662\pi\) |
0.556018 | + | 0.831170i | \(0.312329\pi\) | |||||||
\(458\) | 12.0000 | + | 6.92820i | 0.560723 | + | 0.323734i | ||||
\(459\) | −33.9783 | + | 5.78606i | −1.58597 | + | 0.270070i | ||||
\(460\) | −0.941578 | − | 2.92048i | −0.0439013 | − | 0.136168i | ||||
\(461\) | 23.4891 | 1.09400 | 0.546999 | − | 0.837133i | \(-0.315770\pi\) | ||||
0.546999 | + | 0.837133i | \(0.315770\pi\) | |||||||
\(462\) | −4.30298 | + | 0.174928i | −0.200193 | + | 0.00813840i | ||||
\(463\) | − | 6.72582i | − | 0.312576i | −0.987712 | − | 0.156288i | \(-0.950047\pi\) | ||
0.987712 | − | 0.156288i | \(-0.0499527\pi\) | |||||||
\(464\) | 2.87228 | − | 1.65831i | 0.133342 | − | 0.0769852i | ||||
\(465\) | −25.6753 | − | 14.1788i | −1.19066 | − | 0.657527i | ||||
\(466\) | 0.255437 | − | 0.442430i | 0.0118329 | − | 0.0204952i | ||||
\(467\) | 31.5475 | − | 18.2140i | 1.45985 | − | 0.842843i | 0.460843 | − | 0.887482i | \(-0.347547\pi\) |
0.999003 | + | 0.0446389i | \(0.0142137\pi\) | |||||||
\(468\) | 5.37228 | − | 2.67181i | 0.248334 | − | 0.123505i | ||||
\(469\) | 6.17527 | + | 1.18843i | 0.285147 | + | 0.0548766i | ||||
\(470\) | 4.00000 | − | 18.6101i | 0.184506 | − | 0.858421i | ||||
\(471\) | 9.48913 | + | 10.0974i | 0.437236 | + | 0.465261i | ||||
\(472\) | −6.55842 | + | 11.3595i | −0.301876 | + | 0.522864i | ||||
\(473\) | 0.510875 | − | 0.884861i | 0.0234900 | − | 0.0406859i | ||||
\(474\) | −10.8139 | − | 11.5070i | −0.496697 | − | 0.528534i | ||||
\(475\) | 7.11684 | − | 15.7908i | 0.326543 | − | 0.724533i | ||||
\(476\) | −11.4891 | + | 13.2665i | −0.526603 | + | 0.608069i | ||||
\(477\) | 11.7446 | − | 5.84096i | 0.537747 | − | 0.267439i | ||||
\(478\) | −20.4891 | + | 11.8294i | −0.937151 | + | 0.541064i | ||||
\(479\) | −1.37228 | + | 2.37686i | −0.0627011 | + | 0.108602i | −0.895672 | − | 0.444715i | \(-0.853305\pi\) |
0.832971 | + | 0.553317i | \(0.186638\pi\) | |||||||
\(480\) | −1.87228 | + | 3.39036i | −0.0854576 | + | 0.154748i | ||||
\(481\) | −14.2337 | + | 8.21782i | −0.649000 | + | 0.374701i | ||||
\(482\) | − | 19.2549i | − | 0.877038i | ||||||
\(483\) | −5.31386 | + | 3.36291i | −0.241789 | + | 0.153018i | ||||
\(484\) | 10.1168 | 0.459857 | ||||||||
\(485\) | −10.3723 | − | 32.1716i | −0.470981 | − | 1.46084i | ||||
\(486\) | 9.18614 | + | 12.5942i | 0.416692 | + | 0.571286i | ||||
\(487\) | 12.5584 | + | 7.25061i | 0.569076 | + | 0.328556i | 0.756780 | − | 0.653669i | \(-0.226771\pi\) |
−0.187704 | + | 0.982226i | \(0.560105\pi\) | |||||||
\(488\) | 11.0584 | − | 6.38458i | 0.500591 | − | 0.289016i | ||||
\(489\) | 1.37228 | + | 5.84096i | 0.0620567 | + | 0.264137i | ||||
\(490\) | 1.06930 | − | 15.6159i | 0.0483059 | − | 0.705455i | ||||
\(491\) | − | 30.2372i | − | 1.36458i | −0.731080 | − | 0.682292i | \(-0.760983\pi\) | ||
0.731080 | − | 0.682292i | \(-0.239017\pi\) | |||||||
\(492\) | −8.74456 | − | 9.30506i | −0.394235 | − | 0.419505i | ||||
\(493\) | −11.0000 | + | 19.0526i | −0.495415 | + | 0.858084i | ||||
\(494\) | −6.00000 | − | 3.46410i | −0.269953 | − | 0.155857i | ||||
\(495\) | 4.51087 | − | 4.40387i | 0.202749 | − | 0.197939i | ||||
\(496\) | − | 7.57301i | − | 0.340038i | ||||||
\(497\) | 7.37228 | + | 21.2819i | 0.330692 | + | 0.954626i | ||||
\(498\) | −4.68614 | − | 19.9460i | −0.209991 | − | 0.893803i | ||||
\(499\) | 3.11684 | + | 5.39853i | 0.139529 | + | 0.241671i | 0.927318 | − | 0.374273i | \(-0.122108\pi\) |
−0.787789 | + | 0.615945i | \(0.788774\pi\) | |||||||
\(500\) | −10.2446 | + | 4.47760i | −0.458151 | + | 0.200245i | ||||
\(501\) | −24.2921 | − | 7.32435i | −1.08529 | − | 0.327228i | ||||
\(502\) | 0.558422 | + | 0.967215i | 0.0249236 | + | 0.0431689i | ||||
\(503\) | 6.13592i | 0.273587i | 0.990600 | + | 0.136793i | \(0.0436797\pi\) | ||||
−0.990600 | + | 0.136793i | \(0.956320\pi\) | |||||||
\(504\) | 7.68614 | + | 1.98072i | 0.342368 | + | 0.0882282i | ||||
\(505\) | 23.2337 | + | 4.99377i | 1.03389 | + | 0.222220i | ||||
\(506\) | −1.11684 | + | 0.644810i | −0.0496498 | + | 0.0286653i | ||||
\(507\) | −4.50000 | + | 14.9248i | −0.199852 | + | 0.662834i | ||||
\(508\) | 6.55842 | + | 3.78651i | 0.290983 | + | 0.167999i | ||||
\(509\) | 5.87228 | + | 10.1711i | 0.260284 | + | 0.450826i | 0.966317 | − | 0.257353i | \(-0.0828504\pi\) |
−0.706033 | + | 0.708179i | \(0.749517\pi\) | |||||||
\(510\) | −0.489125 | − | 25.6858i | −0.0216588 | − | 1.13739i | ||||
\(511\) | −1.00000 | + | 5.19615i | −0.0442374 | + | 0.229864i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 6.25544 | − | 16.8781i | 0.276184 | − | 0.745185i | ||||
\(514\) | −1.62772 | − | 0.939764i | −0.0717956 | − | 0.0414512i | ||||
\(515\) | 3.17527 | − | 3.51039i | 0.139919 | − | 0.154686i | ||||
\(516\) | −1.37228 | + | 1.28962i | −0.0604113 | + | 0.0567724i | ||||
\(517\) | −8.00000 | −0.351840 | ||||||||
\(518\) | −21.3505 | − | 4.10891i | −0.938089 | − | 0.180535i | ||||
\(519\) | 6.74456 | + | 28.7075i | 0.296053 | + | 1.26012i | ||||
\(520\) | 1.37228 | + | 4.25639i | 0.0601785 | + | 0.186655i | ||||
\(521\) | 7.37228 | − | 12.7692i | 0.322986 | − | 0.559427i | −0.658117 | − | 0.752916i | \(-0.728647\pi\) |
0.981103 | + | 0.193488i | \(0.0619802\pi\) | |||||||
\(522\) | 9.93070 | + | 0.617359i | 0.434655 | + | 0.0270211i | ||||
\(523\) | −5.11684 | − | 8.86263i | −0.223744 | − | 0.387536i | 0.732198 | − | 0.681092i | \(-0.238495\pi\) |
−0.955942 | + | 0.293556i | \(0.905161\pi\) | |||||||
\(524\) | 10.3723 | 0.453115 | ||||||||
\(525\) | 14.1277 | + | 18.0391i | 0.616584 | + | 0.787289i | ||||
\(526\) | 7.37228 | 0.321447 | ||||||||
\(527\) | 25.1168 | + | 43.5036i | 1.09411 | + | 1.89505i | ||||
\(528\) | 1.55842 | + | 0.469882i | 0.0678216 | + | 0.0204490i | ||||
\(529\) | 10.5584 | − | 18.2877i | 0.459062 | − | 0.795118i | ||||
\(530\) | 3.00000 | + | 9.30506i | 0.130312 | + | 0.404186i | ||||
\(531\) | −35.2337 | + | 17.5229i | −1.52901 | + | 0.760429i | ||||
\(532\) | −3.00000 | − | 8.66025i | −0.130066 | − | 0.375470i | ||||
\(533\) | −14.7446 | −0.638658 | ||||||||
\(534\) | 1.62772 | + | 1.73205i | 0.0704383 | + | 0.0749532i | ||||
\(535\) | 9.38316 | − | 10.3735i | 0.405669 | − | 0.448484i | ||||
\(536\) | −2.05842 | − | 1.18843i | −0.0889103 | − | 0.0513324i | ||||
\(537\) | −29.8614 | + | 28.0627i | −1.28861 | + | 1.21099i | ||||
\(538\) | 25.9783 | 1.12000 | ||||||||
\(539\) | −6.51087 | + | 0.939764i | −0.280443 | + | 0.0404785i | ||||
\(540\) | −10.3030 | + | 5.37108i | −0.443370 | + | 0.231135i | ||||
\(541\) | −19.1753 | − | 33.2125i | −0.824409 | − | 1.42792i | −0.902370 | − | 0.430962i | \(-0.858174\pi\) |
0.0779610 | − | 0.996956i | \(-0.475159\pi\) | |||||||
\(542\) | 7.67527 | + | 4.43132i | 0.329681 | + | 0.190341i | ||||
\(543\) | −13.2921 | − | 4.00772i | −0.570419 | − | 0.171988i | ||||
\(544\) | 5.74456 | − | 3.31662i | 0.246296 | − | 0.142199i | ||||
\(545\) | −17.7446 | − | 3.81396i | −0.760094 | − | 0.163372i | ||||
\(546\) | 7.74456 | − | 4.90120i | 0.331437 | − | 0.209752i | ||||
\(547\) | − | 9.30506i | − | 0.397856i | −0.980014 | − | 0.198928i | \(-0.936254\pi\) | ||
0.980014 | − | 0.198928i | \(-0.0637460\pi\) | |||||||
\(548\) | −4.37228 | − | 7.57301i | −0.186775 | − | 0.323503i | ||||
\(549\) | 38.2337 | + | 2.37686i | 1.63177 | + | 0.101442i | ||||
\(550\) | 2.74456 | + | 3.81396i | 0.117029 | + | 0.162628i | ||||
\(551\) | −5.74456 | − | 9.94987i | −0.244727 | − | 0.423879i | ||||
\(552\) | 2.31386 | − | 0.543620i | 0.0984844 | − | 0.0231380i | ||||
\(553\) | −18.2337 | − | 15.7908i | −0.775375 | − | 0.671495i | ||||
\(554\) | 9.10268i | 0.386736i | ||||||||
\(555\) | 27.2554 | − | 16.4356i | 1.15693 | − | 0.697654i | ||||
\(556\) | 7.11684 | + | 4.10891i | 0.301821 | + | 0.174257i | ||||
\(557\) | 13.9307 | − | 24.1287i | 0.590263 | − | 1.02237i | −0.403934 | − | 0.914788i | \(-0.632357\pi\) |
0.994197 | − | 0.107577i | \(-0.0343092\pi\) | |||||||
\(558\) | 12.5584 | − | 18.9325i | 0.531640 | − | 0.801478i | ||||
\(559\) | 2.17448i | 0.0919708i | ||||||||
\(560\) | −2.31386 | + | 5.44482i | −0.0977784 | + | 0.230086i | ||||
\(561\) | −10.5109 | + | 2.46943i | −0.443769 | + | 0.104260i | ||||
\(562\) | 9.86141 | − | 5.69349i | 0.415978 | − | 0.240165i | ||||
\(563\) | 1.24456 | + | 0.718549i | 0.0524521 | + | 0.0302832i | 0.525997 | − | 0.850487i | \(-0.323692\pi\) |
−0.473545 | + | 0.880770i | \(0.657026\pi\) | |||||||
\(564\) | 14.1168 | + | 4.25639i | 0.594426 | + | 0.179226i | ||||
\(565\) | −10.1168 | − | 31.3793i | −0.425619 | − | 1.32014i | ||||
\(566\) | 16.0000 | 0.672530 | ||||||||
\(567\) | 15.9307 | + | 17.6978i | 0.669027 | + | 0.743238i | ||||
\(568\) | − | 8.51278i | − | 0.357188i | ||||||
\(569\) | −9.86141 | + | 5.69349i | −0.413412 | + | 0.238683i | −0.692255 | − | 0.721653i | \(-0.743382\pi\) |
0.278843 | + | 0.960337i | \(0.410049\pi\) | |||||||
\(570\) | 11.7446 | + | 6.48577i | 0.491926 | + | 0.271659i | ||||
\(571\) | 0.116844 | − | 0.202380i | 0.00488977 | − | 0.00846933i | −0.863570 | − | 0.504229i | \(-0.831777\pi\) |
0.868460 | + | 0.495759i | \(0.165110\pi\) | |||||||
\(572\) | 1.62772 | − | 0.939764i | 0.0680583 | − | 0.0392935i | ||||
\(573\) | 6.74456 | + | 28.7075i | 0.281758 | + | 1.19927i | ||||
\(574\) | −14.7446 | − | 12.7692i | −0.615426 | − | 0.532975i | ||||
\(575\) | 6.25544 | + | 2.81929i | 0.260870 | + | 0.117573i | ||||
\(576\) | −2.50000 | − | 1.65831i | −0.104167 | − | 0.0690963i | ||||
\(577\) | 17.5584 | − | 30.4121i | 0.730967 | − | 1.26607i | −0.225504 | − | 0.974242i | \(-0.572403\pi\) |
0.956470 | − | 0.291829i | \(-0.0942639\pi\) | |||||||
\(578\) | −13.5000 | + | 23.3827i | −0.561526 | + | 0.972592i | ||||
\(579\) | −22.6753 | + | 21.3094i | −0.942352 | + | 0.885588i | ||||
\(580\) | −1.55842 | + | 7.25061i | −0.0647100 | + | 0.301065i | ||||
\(581\) | −10.2446 | − | 29.5735i | −0.425016 | − | 1.22692i | ||||
\(582\) | 25.4891 | − | 5.98844i | 1.05656 | − | 0.248229i | ||||
\(583\) | 3.55842 | − | 2.05446i | 0.147375 | − | 0.0850869i | ||||
\(584\) | 1.00000 | − | 1.73205i | 0.0413803 | − | 0.0716728i | ||||
\(585\) | −3.62772 | + | 12.9166i | −0.149988 | + | 0.534037i | ||||
\(586\) | −18.8139 | + | 10.8622i | −0.777193 | + | 0.448713i | ||||
\(587\) | 0.0549029i | 0.00226608i | 0.999999 | + | 0.00113304i | \(0.000360659\pi\) | ||||
−0.999999 | + | 0.00113304i | \(0.999639\pi\) | |||||||
\(588\) | 11.9891 | + | 1.80579i | 0.494423 | + | 0.0744695i | ||||
\(589\) | −26.2337 | −1.08094 | ||||||||
\(590\) | −9.00000 | − | 27.9152i | −0.370524 | − | 1.14925i | ||||
\(591\) | −7.11684 | + | 23.6039i | −0.292748 | + | 0.970935i | ||||
\(592\) | 7.11684 | + | 4.10891i | 0.292500 | + | 0.168875i | ||||
\(593\) | −23.7446 | + | 13.7089i | −0.975072 | + | 0.562958i | −0.900779 | − | 0.434278i | \(-0.857003\pi\) |
−0.0742935 | + | 0.997236i | \(0.523670\pi\) | |||||||
\(594\) | 3.11684 | + | 3.75906i | 0.127886 | + | 0.154236i | ||||
\(595\) | −4.76631 | − | 38.9523i | −0.195400 | − | 1.59689i | ||||
\(596\) | − | 9.01011i | − | 0.369069i | ||||||
\(597\) | 1.62772 | − | 1.52967i | 0.0666181 | − | 0.0626053i | ||||
\(598\) | 1.37228 | − | 2.37686i | 0.0561168 | − | 0.0971971i | ||||
\(599\) | 1.62772 | + | 0.939764i | 0.0665068 | + | 0.0383977i | 0.532885 | − | 0.846188i | \(-0.321108\pi\) |
−0.466378 | + | 0.884586i | \(0.654441\pi\) | |||||||
\(600\) | −2.81386 | − | 8.19037i | −0.114875 | − | 0.334371i | ||||
\(601\) | − | 19.2549i | − | 0.785425i | −0.919661 | − | 0.392713i | \(-0.871537\pi\) | ||
0.919661 | − | 0.392713i | \(-0.128463\pi\) | |||||||
\(602\) | −1.88316 | + | 2.17448i | −0.0767517 | + | 0.0886252i | ||||
\(603\) | −3.17527 | − | 6.38458i | −0.129307 | − | 0.260000i | ||||
\(604\) | −4.55842 | − | 7.89542i | −0.185480 | − | 0.321260i | ||||
\(605\) | −15.1753 | + | 16.7769i | −0.616962 | + | 0.682077i | ||||
\(606\) | −5.31386 | + | 17.6241i | −0.215861 | + | 0.715929i | ||||
\(607\) | 20.7337 | + | 35.9118i | 0.841554 | + | 1.45762i | 0.888580 | + | 0.458721i | \(0.151692\pi\) |
−0.0470257 | + | 0.998894i | \(0.514974\pi\) | |||||||
\(608\) | 3.46410i | 0.140488i | ||||||||
\(609\) | 15.1861 | − | 0.617359i | 0.615373 | − | 0.0250166i | ||||
\(610\) | −6.00000 | + | 27.9152i | −0.242933 | + | 1.13025i | ||||
\(611\) | 14.7446 | − | 8.51278i | 0.596501 | − | 0.344390i | ||||
\(612\) | 19.8614 | + | 1.23472i | 0.802850 | + | 0.0499105i | ||||
\(613\) | 23.2337 | + | 13.4140i | 0.938400 | + | 0.541785i | 0.889458 | − | 0.457016i | \(-0.151082\pi\) |
0.0489415 | + | 0.998802i | \(0.484415\pi\) | |||||||
\(614\) | 12.0584 | + | 20.8858i | 0.486638 | + | 0.842882i | ||||
\(615\) | 28.5475 | − | 0.543620i | 1.15115 | − | 0.0219209i | ||||
\(616\) | 2.44158 | + | 0.469882i | 0.0983740 | + | 0.0189321i | ||||
\(617\) | 46.9783 | 1.89127 | 0.945637 | − | 0.325225i | \(-0.105440\pi\) | ||||
0.945637 | + | 0.325225i | \(0.105440\pi\) | |||||||
\(618\) | 2.51087 | + | 2.67181i | 0.101002 | + | 0.107476i | ||||
\(619\) | −14.2337 | − | 8.21782i | −0.572100 | − | 0.330302i | 0.185888 | − | 0.982571i | \(-0.440484\pi\) |
−0.757988 | + | 0.652269i | \(0.773817\pi\) | |||||||
\(620\) | 12.5584 | + | 11.3595i | 0.504358 | + | 0.456209i | ||||
\(621\) | 6.68614 | + | 2.47805i | 0.268306 | + | 0.0994408i | ||||
\(622\) | −20.2337 | −0.811297 | ||||||||
\(623\) | 2.74456 | + | 2.37686i | 0.109959 | + | 0.0952269i | ||||
\(624\) | −3.37228 | + | 0.792287i | −0.134999 | + | 0.0317169i | ||||
\(625\) | 7.94158 | − | 23.7051i | 0.317663 | − | 0.948204i | ||||
\(626\) | 1.55842 | − | 2.69927i | 0.0622871 | − | 0.107884i | ||||
\(627\) | 1.62772 | − | 5.39853i | 0.0650048 | − | 0.215597i | ||||
\(628\) | −4.00000 | − | 6.92820i | −0.159617 | − | 0.276465i | ||||
\(629\) | −54.5109 | −2.17349 | ||||||||
\(630\) | −14.8139 | + | 9.77495i | −0.590198 | + | 0.389443i | ||||
\(631\) | 12.8832 | 0.512870 | 0.256435 | − | 0.966561i | \(-0.417452\pi\) | ||||
0.256435 | + | 0.966561i | \(0.417452\pi\) | |||||||
\(632\) | 4.55842 | + | 7.89542i | 0.181324 | + | 0.314063i | ||||
\(633\) | 8.11684 | − | 26.9205i | 0.322616 | − | 1.06999i | ||||
\(634\) | 0.558422 | − | 0.967215i | 0.0221778 | − | 0.0384130i | ||||
\(635\) | −16.1168 | + | 5.19615i | −0.639577 | + | 0.206203i | ||||
\(636\) | −7.37228 | + | 1.73205i | −0.292330 | + | 0.0686803i | ||||
\(637\) | 11.0000 | − | 8.66025i | 0.435836 | − | 0.343132i | ||||
\(638\) | 3.11684 | 0.123397 | ||||||||
\(639\) | 14.1168 | − | 21.2819i | 0.558454 | − | 0.841901i | ||||
\(640\) | 1.50000 | − | 1.65831i | 0.0592927 | − | 0.0655506i | ||||
\(641\) | 7.80298 | + | 4.50506i | 0.308199 | + | 0.177939i | 0.646120 | − | 0.763235i | \(-0.276390\pi\) |
−0.337921 | + | 0.941174i | \(0.609724\pi\) | |||||||
\(642\) | 7.41983 | + | 7.89542i | 0.292837 | + | 0.311607i | ||||
\(643\) | −18.2337 | −0.719066 | −0.359533 | − | 0.933132i | \(-0.617064\pi\) | ||||
−0.359533 | + | 0.933132i | \(0.617064\pi\) | |||||||
\(644\) | 3.43070 | − | 1.18843i | 0.135189 | − | 0.0468307i | ||||
\(645\) | −0.0801714 | − | 4.21010i | −0.00315675 | − | 0.165773i | ||||
\(646\) | −11.4891 | − | 19.8997i | −0.452034 | − | 0.782945i | ||||
\(647\) | −36.4307 | − | 21.0333i | −1.43224 | − | 0.826903i | −0.434947 | − | 0.900456i | \(-0.643233\pi\) |
−0.997291 | + | 0.0735524i | \(0.976566\pi\) | |||||||
\(648\) | −3.50000 | − | 8.29156i | −0.137493 | − | 0.325723i | ||||
\(649\) | −10.6753 | + | 6.16337i | −0.419041 | + | 0.241933i | ||||
\(650\) | −9.11684 | − | 4.10891i | −0.357592 | − | 0.161165i | ||||
\(651\) | 16.1168 | − | 30.7345i | 0.631669 | − | 1.20458i | ||||
\(652\) | − | 3.46410i | − | 0.135665i | ||||||
\(653\) | −8.18614 | − | 14.1788i | −0.320348 | − | 0.554860i | 0.660211 | − | 0.751080i | \(-0.270467\pi\) |
−0.980560 | + | 0.196220i | \(0.937133\pi\) | |||||||
\(654\) | 4.05842 | − | 13.4603i | 0.158697 | − | 0.526338i | ||||
\(655\) | −15.5584 | + | 17.2005i | −0.607918 | + | 0.672078i | ||||
\(656\) | 3.68614 | + | 6.38458i | 0.143920 | + | 0.249276i | ||||
\(657\) | 5.37228 | − | 2.67181i | 0.209593 | − | 0.104237i | ||||
\(658\) | 22.1168 | + | 4.25639i | 0.862204 | + | 0.165931i | ||||
\(659\) | − | 16.1407i | − | 0.628752i | −0.949299 | − | 0.314376i | \(-0.898205\pi\) | ||
0.949299 | − | 0.314376i | \(-0.101795\pi\) | |||||||
\(660\) | −3.11684 | + | 1.87953i | −0.121323 | + | 0.0731605i | ||||
\(661\) | 11.0584 | + | 6.38458i | 0.430123 | + | 0.248331i | 0.699399 | − | 0.714732i | \(-0.253451\pi\) |
−0.269276 | + | 0.963063i | \(0.586784\pi\) | |||||||
\(662\) | −12.1168 | + | 20.9870i | −0.470935 | + | 0.815683i | ||||
\(663\) | 16.7446 | − | 15.7359i | 0.650305 | − | 0.611133i | ||||
\(664\) | 11.8294i | 0.459070i | ||||||||
\(665\) | 18.8614 | + | 8.01544i | 0.731414 | + | 0.310826i | ||||
\(666\) | 10.9783 | + | 22.0742i | 0.425399 | + | 0.855359i | ||||
\(667\) | 3.94158 | − | 2.27567i | 0.152619 | − | 0.0881143i | ||||
\(668\) | 12.6861 | + | 7.32435i | 0.490842 | + | 0.283387i | ||||
\(669\) | 0.441578 | − | 1.46455i | 0.0170724 | − | 0.0566227i | ||||
\(670\) | 5.05842 | − | 1.63086i | 0.195424 | − | 0.0630057i | ||||
\(671\) | 12.0000 | 0.463255 | ||||||||
\(672\) | −4.05842 | − | 2.12819i | −0.156557 | − | 0.0820969i | ||||
\(673\) | 46.9678i | 1.81047i | 0.424907 | + | 0.905237i | \(0.360307\pi\) | ||||
−0.424907 | + | 0.905237i | \(0.639693\pi\) | |||||||
\(674\) | 0.558422 | − | 0.322405i | 0.0215096 | − | 0.0124186i | ||||
\(675\) | 6.54755 | − | 25.1422i | 0.252015 | − | 0.967723i | ||||
\(676\) | 4.50000 | − | 7.79423i | 0.173077 | − | 0.299778i | ||||
\(677\) | 1.58017 | − | 0.912312i | 0.0607309 | − | 0.0350630i | −0.469327 | − | 0.883024i | \(-0.655503\pi\) |
0.530058 | + | 0.847961i | \(0.322170\pi\) | |||||||
\(678\) | 24.8614 | − | 5.84096i | 0.954797 | − | 0.224321i | ||||
\(679\) | 37.7921 | − | 13.0916i | 1.45033 | − | 0.502408i | ||||
\(680\) | −3.11684 | + | 14.5012i | −0.119526 | + | 0.556096i | ||||
\(681\) | −26.3030 | + | 24.7186i | −1.00793 | + | 0.947219i | ||||
\(682\) | 3.55842 | − | 6.16337i | 0.136259 | − | 0.236008i | ||||
\(683\) | 15.9891 | − | 27.6940i | 0.611807 | − | 1.05968i | −0.379129 | − | 0.925344i | \(-0.623776\pi\) |
0.990936 | − | 0.134337i | \(-0.0428904\pi\) | |||||||
\(684\) | −5.74456 | + | 8.66025i | −0.219649 | + | 0.331133i | ||||
\(685\) | 19.1168 | + | 4.10891i | 0.730417 | + | 0.156993i | ||||
\(686\) | 18.5000 | + | 0.866025i | 0.706333 | + | 0.0330650i | ||||
\(687\) | −5.48913 | − | 23.3639i | −0.209423 | − | 0.891386i | ||||
\(688\) | 0.941578 | − | 0.543620i | 0.0358973 | − | 0.0207253i | ||||
\(689\) | −4.37228 | + | 7.57301i | −0.166571 | + | 0.288509i | ||||
\(690\) | −2.56930 | + | 4.65253i | −0.0978115 | + | 0.177119i | ||||
\(691\) | 8.23369 | − | 4.75372i | 0.313224 | − | 0.180840i | −0.335144 | − | 0.942167i | \(-0.608785\pi\) |
0.648368 | + | 0.761327i | \(0.275452\pi\) | |||||||
\(692\) | − | 17.0256i | − | 0.647214i | ||||||
\(693\) | 5.32473 | + | 5.22360i | 0.202270 | + | 0.198428i | ||||
\(694\) | 1.88316 | 0.0714836 | ||||||||
\(695\) | −17.4891 | + | 5.63858i | −0.663400 | + | 0.213884i | ||||
\(696\) | −5.50000 | − | 1.65831i | −0.208477 | − | 0.0628582i | ||||
\(697\) | −42.3505 | − | 24.4511i | −1.60414 | − | 0.926151i | ||||
\(698\) | −22.2921 | + | 12.8704i | −0.843769 | + | 0.487150i | ||||
\(699\) | −0.861407 | + | 0.202380i | −0.0325814 | + | 0.00765470i | ||||
\(700\) | −5.55842 | − | 12.0043i | −0.210089 | − | 0.453721i | ||||
\(701\) | 39.2473i | 1.48235i | 0.671313 | + | 0.741174i | \(0.265731\pi\) | ||||
−0.671313 | + | 0.741174i | \(0.734269\pi\) | |||||||
\(702\) | −9.74456 | − | 3.61158i | −0.367785 | − | 0.136310i | ||||
\(703\) | 14.2337 | − | 24.6535i | 0.536834 | − | 0.929823i | ||||
\(704\) | −0.813859 | − | 0.469882i | −0.0306735 | − | 0.0177093i | ||||
\(705\) | −28.2337 | + | 17.0256i | −1.06334 | + | 0.641219i | ||||
\(706\) | 12.2718i | 0.461857i | ||||||||
\(707\) | −5.31386 | + | 27.6116i | −0.199848 | + | 1.03844i | ||||
\(708\) | 22.1168 | − | 5.19615i | 0.831202 | − | 0.195283i | ||||
\(709\) | −6.05842 | − | 10.4935i | −0.227529 | − | 0.394091i | 0.729546 | − | 0.683931i | \(-0.239731\pi\) |
−0.957075 | + | 0.289840i | \(0.906398\pi\) | |||||||
\(710\) | 14.1168 | + | 12.7692i | 0.529796 | + | 0.479218i | ||||
\(711\) | −1.69702 | + | 27.2978i | −0.0636430 | + | 1.02375i | ||||
\(712\) | −0.686141 | − | 1.18843i | −0.0257142 | − | 0.0445383i | ||||
\(713\) | − | 10.3923i | − | 0.389195i | ||||||
\(714\) | 30.3723 | − | 1.23472i | 1.13665 | − | 0.0462081i | ||||
\(715\) | −0.883156 | + | 4.10891i | −0.0330282 | + | 0.153665i | ||||
\(716\) | 20.4891 | − | 11.8294i | 0.765715 | − | 0.442086i | ||||
\(717\) | 39.2337 | + | 11.8294i | 1.46521 | + | 0.441777i | ||||
\(718\) | −23.7446 | − | 13.7089i | −0.886139 | − | 0.511613i | ||||
\(719\) | −22.3723 | − | 38.7499i | −0.834345 | − | 1.44513i | −0.894562 | − | 0.446943i | \(-0.852513\pi\) |
0.0602171 | − | 0.998185i | \(-0.480821\pi\) | |||||||
\(720\) | 6.50000 | − | 1.65831i | 0.242241 | − | 0.0618017i | ||||
\(721\) | 4.23369 | + | 3.66648i | 0.157671 | + | 0.136547i | ||||
\(722\) | −7.00000 | −0.260513 | ||||||||
\(723\) | −24.3030 | + | 22.8391i | −0.903838 | + | 0.849394i | ||||
\(724\) | 6.94158 | + | 4.00772i | 0.257982 | + | 0.148946i | ||||
\(725\) | −9.68614 | − | 13.4603i | −0.359734 | − | 0.499902i | ||||
\(726\) | −12.0000 | − | 12.7692i | −0.445362 | − | 0.473908i | ||||
\(727\) | −19.0000 | −0.704671 | −0.352335 | − | 0.935874i | \(-0.614612\pi\) | ||||
−0.352335 | + | 0.935874i | \(0.614612\pi\) | |||||||
\(728\) | −5.00000 | + | 1.73205i | −0.185312 | + | 0.0641941i | ||||
\(729\) | 5.00000 | − | 26.5330i | 0.185185 | − | 0.982704i | ||||
\(730\) | 1.37228 | + | 4.25639i | 0.0507904 | + | 0.157536i | ||||
\(731\) | −3.60597 | + | 6.24572i | −0.133372 | + | 0.231006i | ||||
\(732\) | −21.1753 | − | 6.38458i | −0.782660 | − | 0.235981i | ||||
\(733\) | 16.2337 | + | 28.1176i | 0.599605 | + | 1.03855i | 0.992879 | + | 0.119125i | \(0.0380089\pi\) |
−0.393274 | + | 0.919421i | \(0.628658\pi\) | |||||||
\(734\) | −13.2337 | −0.488464 | ||||||||
\(735\) | −20.9783 | + | 17.1730i | −0.773794 | + | 0.633437i | ||||
\(736\) | −1.37228 | −0.0505830 | ||||||||
\(737\) | −1.11684 | − | 1.93443i | −0.0411395 | − | 0.0712557i | ||||
\(738\) | −1.37228 | + | 22.0742i | −0.0505144 | + | 0.812564i | ||||
\(739\) | 0.883156 | − | 1.52967i | 0.0324874 | − | 0.0562699i | −0.849325 | − | 0.527871i | \(-0.822990\pi\) |
0.881812 | + | 0.471601i | \(0.156324\pi\) | |||||||
\(740\) | −17.4891 | + | 5.63858i | −0.642913 | + | 0.207278i | ||||
\(741\) | 2.74456 | + | 11.6819i | 0.100824 | + | 0.429146i | ||||
\(742\) | −10.9307 | + | 3.78651i | −0.401279 | + | 0.139007i | ||||
\(743\) | −21.6060 | −0.792646 | −0.396323 | − | 0.918111i | \(-0.629714\pi\) | ||||
−0.396323 | + | 0.918111i | \(0.629714\pi\) | |||||||
\(744\) | −9.55842 | + | 8.98266i | −0.350429 | + | 0.329320i | ||||
\(745\) | 14.9416 | + | 13.5152i | 0.547417 | + | 0.495157i | ||||
\(746\) | 20.2337 | + | 11.6819i | 0.740808 | + | 0.427706i | ||||
\(747\) | −19.6168 | + | 29.5735i | −0.717743 | + | 1.08204i | ||||
\(748\) | 6.23369 | 0.227926 | ||||||||
\(749\) | 12.5109 | + | 10.8347i | 0.457137 | + | 0.395893i | ||||
\(750\) | 17.8030 | + | 7.61930i | 0.650073 | + | 0.278218i | ||||
\(751\) | −12.4416 | − | 21.5494i | −0.454000 | − | 0.786350i | 0.544630 | − | 0.838676i | \(-0.316670\pi\) |
−0.998630 | + | 0.0523257i | \(0.983337\pi\) | |||||||
\(752\) | −7.37228 | − | 4.25639i | −0.268839 | − | 0.155215i | ||||
\(753\) | 0.558422 | − | 1.85208i | 0.0203500 | − | 0.0674934i | ||||
\(754\) | −5.74456 | + | 3.31662i | −0.209205 | + | 0.120784i | ||||
\(755\) | 19.9307 | + | 4.28384i | 0.725353 | + | 0.155905i | ||||
\(756\) | −6.61684 | − | 12.0506i | −0.240652 | − | 0.438277i | ||||
\(757\) | 25.5383i | 0.928206i | 0.885781 | + | 0.464103i | \(0.153623\pi\) | ||||
−0.885781 | + | 0.464103i | \(0.846377\pi\) | |||||||
\(758\) | −6.11684 | − | 10.5947i | −0.222174 | − | 0.384816i | ||||
\(759\) | 2.13859 | + | 0.644810i | 0.0776260 | + | 0.0234051i | ||||
\(760\) | −5.74456 | − | 5.19615i | −0.208377 | − | 0.188484i | ||||
\(761\) | −3.51087 | − | 6.08101i | −0.127269 | − | 0.220437i | 0.795349 | − | 0.606152i | \(-0.207288\pi\) |
−0.922618 | + | 0.385716i | \(0.873955\pi\) | |||||||
\(762\) | −3.00000 | − | 12.7692i | −0.108679 | − | 0.462578i | ||||
\(763\) | 4.05842 | − | 21.0882i | 0.146925 | − | 0.763443i | ||||
\(764\) | − | 17.0256i | − | 0.615963i | ||||||
\(765\) | −31.8397 | + | 31.0843i | −1.15117 | + | 1.12386i | ||||
\(766\) | 13.5475 | + | 7.82168i | 0.489493 | + | 0.282609i | ||||
\(767\) | 13.1168 | − | 22.7190i | 0.473622 | − | 0.820337i | ||||
\(768\) | 1.18614 | + | 1.26217i | 0.0428012 | + | 0.0455446i | ||||
\(769\) | 30.5321i | 1.10102i | 0.834830 | + | 0.550508i | \(0.185566\pi\) | ||||
−0.834830 | + | 0.550508i | \(0.814434\pi\) | |||||||
\(770\) | −4.44158 | + | 3.34408i | −0.160063 | + | 0.120512i | ||||
\(771\) | 0.744563 | + | 3.16915i | 0.0268148 | + | 0.114134i | ||||
\(772\) | 15.5584 | − | 8.98266i | 0.559960 | − | 0.323293i | ||||
\(773\) | −7.37228 | − | 4.25639i | −0.265163 | − | 0.153092i | 0.361525 | − | 0.932363i | \(-0.382256\pi\) |
−0.626687 | + | 0.779271i | \(0.715590\pi\) | |||||||
\(774\) | 3.25544 | + | 0.202380i | 0.117014 | + | 0.00727439i | ||||
\(775\) | −37.6753 | + | 3.78651i | −1.35334 | + | 0.136015i | ||||
\(776\) | −15.1168 | −0.542663 | ||||||||
\(777\) | 20.1386 | + | 31.8217i | 0.722468 | + | 1.14160i | ||||
\(778\) | 7.51811i | 0.269537i | ||||||||
\(779\) | 22.1168 | − | 12.7692i | 0.792418 | − | 0.457503i | ||||
\(780\) | 3.74456 | − | 6.78073i | 0.134077 | − | 0.242789i | ||||
\(781\) | 4.00000 | − | 6.92820i | 0.143131 | − | 0.247911i | ||||
\(782\) | 7.88316 | − | 4.55134i | 0.281901 | − | 0.162756i | ||||
\(783\) | −11.0000 | − | 13.2665i | −0.393108 | − | 0.474106i | ||||
\(784\) | −6.50000 | − | 2.59808i | −0.232143 | − | 0.0927884i | ||||
\(785\) | 17.4891 | + | 3.75906i | 0.624214 | + | 0.134166i | ||||
\(786\) | −12.3030 | − | 13.0916i | −0.438833 | − | 0.466961i | ||||
\(787\) | −4.94158 | + | 8.55906i | −0.176148 | + | 0.305098i | −0.940558 | − | 0.339633i | \(-0.889697\pi\) |
0.764410 | + | 0.644731i | \(0.223030\pi\) | |||||||
\(788\) | 7.11684 | − | 12.3267i | 0.253527 | − | 0.439122i | ||||
\(789\) | −8.74456 | − | 9.30506i | −0.311315 | − | 0.331269i | ||||
\(790\) | −19.9307 | − | 4.28384i | −0.709103 | − | 0.152412i | ||||
\(791\) | 36.8614 | − | 12.7692i | 1.31064 | − | 0.454019i | ||||
\(792\) | −1.25544 | − | 2.52434i | −0.0446100 | − | 0.0896984i | ||||
\(793\) | −22.1168 | + | 12.7692i | −0.785392 | + | 0.453446i | ||||
\(794\) | 4.00000 | − | 6.92820i | 0.141955 | − | 0.245873i | ||||
\(795\) | 8.18614 | − | 14.8236i | 0.290332 | − | 0.525740i | ||||
\(796\) | −1.11684 | + | 0.644810i | −0.0395855 | + | 0.0228547i | ||||
\(797\) | 0.939764i | 0.0332881i | 0.999861 | + | 0.0166441i | \(0.00529822\pi\) | ||||
−0.999861 | + | 0.0166441i | \(0.994702\pi\) | |||||||
\(798\) | −7.37228 | + | 14.0588i | −0.260976 | + | 0.497676i | ||||
\(799\) | 56.4674 | 1.99767 | ||||||||
\(800\) | 0.500000 | + | 4.97494i | 0.0176777 | + | 0.175891i | ||||
\(801\) | 0.255437 | − | 4.10891i | 0.00902544 | − | 0.145181i | ||||
\(802\) | 14.3139 | + | 8.26411i | 0.505440 | + | 0.291816i | ||||
\(803\) | 1.62772 | − | 0.939764i | 0.0574409 | − | 0.0331635i | ||||
\(804\) | 0.941578 | + | 4.00772i | 0.0332069 | + | 0.141341i | ||||
\(805\) | −3.17527 | + | 7.47182i | −0.111913 | + | 0.263347i | ||||
\(806\) | 15.1460i | 0.533496i | ||||||||
\(807\) | −30.8139 | − | 32.7889i | −1.08470 | − | 1.15423i | ||||
\(808\) | 5.31386 | − | 9.20387i | 0.186941 | − | 0.323791i | ||||
\(809\) | −36.4307 | − | 21.0333i | −1.28084 | − | 0.739491i | −0.303834 | − | 0.952725i | \(-0.598267\pi\) |
−0.977001 | + | 0.213234i | \(0.931600\pi\) | |||||||
\(810\) | 19.0000 | + | 6.63325i | 0.667592 | + | 0.233069i | ||||
\(811\) | 10.3923i | 0.364923i | 0.983213 | + | 0.182462i | \(0.0584065\pi\) | ||||
−0.983213 | + | 0.182462i | \(0.941593\pi\) | |||||||
\(812\) | −8.61684 | − | 1.65831i | −0.302392 | − | 0.0581954i | ||||
\(813\) | −3.51087 | − | 14.9436i | −0.123132 | − | 0.524097i | ||||
\(814\) | 3.86141 | + | 6.68815i | 0.135342 | + | 0.234420i | ||||
\(815\) | 5.74456 | + | 5.19615i | 0.201223 | + | 0.182013i | ||||
\(816\) | −11.0000 | − | 3.31662i | −0.385077 | − | 0.116105i | ||||
\(817\) | −1.88316 | − | 3.26172i | −0.0658833 | − | 0.114113i | ||||
\(818\) | 4.31129i | 0.150741i | ||||||||
\(819\) | −15.3723 | − | 3.96143i | −0.537151 | − | 0.138424i | ||||
\(820\) | −16.1168 | − | 3.46410i | −0.562825 | − | 0.120972i | ||||
\(821\) | −4.06930 | + | 2.34941i | −0.142019 | + | 0.0819950i | −0.569326 | − | 0.822112i | \(-0.692796\pi\) |
0.427307 | + | 0.904107i | \(0.359462\pi\) | |||||||
\(822\) | −4.37228 | + | 14.5012i | −0.152501 | + | 0.505788i | ||||
\(823\) | 11.8247 | + | 6.82701i | 0.412184 | + | 0.237975i | 0.691728 | − | 0.722158i | \(-0.256850\pi\) |
−0.279544 | + | 0.960133i | \(0.590183\pi\) | |||||||
\(824\) | −1.05842 | − | 1.83324i | −0.0368719 | − | 0.0638640i | ||||
\(825\) | 1.55842 | − | 7.98799i | 0.0542573 | − | 0.278106i | ||||
\(826\) | 32.7921 | − | 11.3595i | 1.14098 | − | 0.395248i | ||||
\(827\) | −33.0000 | −1.14752 | −0.573761 | − | 0.819023i | \(-0.694516\pi\) | ||||
−0.573761 | + | 0.819023i | \(0.694516\pi\) | |||||||
\(828\) | −3.43070 | − | 2.27567i | −0.119225 | − | 0.0790850i | ||||
\(829\) | 1.11684 | + | 0.644810i | 0.0387896 | + | 0.0223952i | 0.519269 | − | 0.854611i | \(-0.326204\pi\) |
−0.480480 | + | 0.877006i | \(0.659537\pi\) | |||||||
\(830\) | −19.6168 | − | 17.7441i | −0.680911 | − | 0.615907i | ||||
\(831\) | 11.4891 | − | 10.7971i | 0.398553 | − | 0.374546i | ||||
\(832\) | 2.00000 | 0.0693375 | ||||||||
\(833\) | 45.9565 | − | 6.63325i | 1.59230 | − | 0.229828i | ||||
\(834\) | −3.25544 | − | 13.8564i | −0.112727 | − | 0.479808i | ||||
\(835\) | −31.1753 | + | 10.0511i | −1.07886 | + | 0.347831i | ||||
\(836\) | −1.62772 | + | 2.81929i | −0.0562958 | + | 0.0975072i | ||||
\(837\) | −38.7921 | + | 6.60580i | −1.34085 | + | 0.228330i | ||||
\(838\) | 3.25544 | + | 5.63858i | 0.112457 | + | 0.194782i | ||||
\(839\) | 55.7228 | 1.92377 | 0.961883 | − | 0.273463i | \(-0.0881690\pi\) | ||||
0.961883 | + | 0.273463i | \(0.0881690\pi\) | |||||||
\(840\) | 9.61684 | − | 3.53784i | 0.331813 | − | 0.122067i | ||||
\(841\) | 18.0000 | 0.620690 | ||||||||
\(842\) | −1.05842 | − | 1.83324i | −0.0364756 | − | 0.0631776i | ||||
\(843\) | −18.8832 | − | 5.69349i | −0.650370 | − | 0.196094i | ||||
\(844\) | −8.11684 | + | 14.0588i | −0.279393 | + | 0.483923i | ||||
\(845\) | 6.17527 | + | 19.1537i | 0.212436 | + | 0.658909i | ||||
\(846\) | −11.3723 | − | 22.8665i | −0.390987 | − | 0.786167i | ||||
\(847\) | −20.2337 | − | 17.5229i | −0.695238 | − | 0.602094i | ||||
\(848\) | 4.37228 | 0.150145 | ||||||||
\(849\) | −18.9783 | − | 20.1947i | −0.651332 | − | 0.693080i | ||||
\(850\) | −19.3723 | − | 26.9205i | −0.664464 | − | 0.923366i | ||||
\(851\) | 9.76631 | + | 5.63858i | 0.334785 | + | 0.193288i | ||||
\(852\) | −10.7446 | + | 10.0974i | −0.368103 | + | 0.345930i | ||||
\(853\) | −38.4674 | −1.31710 | −0.658549 | − | 0.752538i | \(-0.728829\pi\) | ||||
−0.658549 | + | 0.752538i | \(0.728829\pi\) | |||||||
\(854\) | −33.1753 | − | 6.38458i | −1.13523 | − | 0.218476i | ||||
\(855\) | −5.74456 | − | 22.5167i | −0.196460 | − | 0.770054i | ||||
\(856\) | −3.12772 | − | 5.41737i | −0.106903 | − | 0.185162i | ||||
\(857\) | −21.2554 | − | 12.2718i | −0.726072 | − | 0.419198i | 0.0909115 | − | 0.995859i | \(-0.471022\pi\) |
−0.816983 | + | 0.576661i | \(0.804355\pi\) | |||||||
\(858\) | −3.11684 | − | 0.939764i | −0.106407 | − | 0.0320830i | ||||
\(859\) | −40.4674 | + | 23.3639i | −1.38073 | + | 0.797164i | −0.992246 | − | 0.124291i | \(-0.960334\pi\) |
−0.388483 | + | 0.921456i | \(0.627001\pi\) | |||||||
\(860\) | −0.510875 | + | 2.37686i | −0.0174207 | + | 0.0810503i | ||||
\(861\) | 1.37228 | + | 33.7562i | 0.0467672 | + | 1.15041i | ||||
\(862\) | 17.0256i | 0.579893i | ||||||||
\(863\) | 6.68614 | + | 11.5807i | 0.227599 | + | 0.394213i | 0.957096 | − | 0.289771i | \(-0.0935792\pi\) |
−0.729497 | + | 0.683984i | \(0.760246\pi\) | |||||||
\(864\) | 0.872281 | + | 5.12241i | 0.0296756 | + | 0.174268i | ||||
\(865\) | 28.2337 | + | 25.5383i | 0.959974 | + | 0.868329i | ||||
\(866\) | −17.0000 | − | 29.4449i | −0.577684 | − | 1.00058i | ||||
\(867\) | 45.5258 | − | 10.6959i | 1.54614 | − | 0.363251i | ||||
\(868\) | −13.1168 | + | 15.1460i | −0.445215 | + | 0.514090i | ||||
\(869\) | 8.56768i | 0.290639i | ||||||||
\(870\) | 11.0000 | − | 6.63325i | 0.372935 | − | 0.224888i | ||||
\(871\) | 4.11684 | + | 2.37686i | 0.139494 | + | 0.0805369i | ||||
\(872\) | −4.05842 | + | 7.02939i | −0.137436 | + | 0.238045i | ||||
\(873\) | −37.7921 | − | 25.0684i | −1.27907 | − | 0.848438i | ||||
\(874\) | 4.75372i | 0.160797i | ||||||||
\(875\) | 28.2446 | + | 8.78890i | 0.954840 | + | 0.297119i | ||||
\(876\) | −3.37228 | + | 0.792287i | −0.113939 | + | 0.0267689i | ||||
\(877\) | 24.3505 | − | 14.0588i | 0.822259 | − | 0.474731i | −0.0289358 | − | 0.999581i | \(-0.509212\pi\) |
0.851195 | + | 0.524850i | \(0.175879\pi\) | |||||||
\(878\) | −2.44158 | − | 1.40965i | −0.0823993 | − | 0.0475732i | ||||
\(879\) | 36.0258 | + | 10.8622i | 1.21512 | + | 0.366372i | ||||
\(880\) | 2.00000 | − | 0.644810i | 0.0674200 | − | 0.0217365i | ||||
\(881\) | −0.350532 | −0.0118097 | −0.00590486 | − | 0.999983i | \(-0.501880\pi\) | ||||
−0.00590486 | + | 0.999983i | \(0.501880\pi\) | |||||||
\(882\) | −11.9416 | − | 17.2742i | −0.402094 | − | 0.581653i | ||||
\(883\) | 44.5532i | 1.49934i | 0.661815 | + | 0.749668i | \(0.269787\pi\) | ||||
−0.661815 | + | 0.749668i | \(0.730213\pi\) | |||||||
\(884\) | −11.4891 | + | 6.63325i | −0.386421 | + | 0.223100i | ||||
\(885\) | −24.5584 | + | 44.4709i | −0.825522 | + | 1.49487i | ||||
\(886\) | −4.50000 | + | 7.79423i | −0.151180 | + | 0.261852i | ||||
\(887\) | −7.03667 | + | 4.06262i | −0.236268 | + | 0.136410i | −0.613460 | − | 0.789725i | \(-0.710223\pi\) |
0.377192 | + | 0.926135i | \(0.376890\pi\) | |||||||
\(888\) | −3.25544 | − | 13.8564i | −0.109245 | − | 0.464991i | ||||
\(889\) | −6.55842 | − | 18.9325i | −0.219962 | − | 0.634977i | ||||
\(890\) | 3.00000 | + | 0.644810i | 0.100560 | + | 0.0216141i | ||||
\(891\) | 1.04755 | − | 8.39275i | 0.0350942 | − | 0.281168i | ||||
\(892\) | −0.441578 | + | 0.764836i | −0.0147851 | + | 0.0256086i | ||||
\(893\) | −14.7446 | + | 25.5383i | −0.493408 | + | 0.854608i | ||||
\(894\) | −11.3723 | + | 10.6873i | −0.380346 | + | 0.357435i | ||||
\(895\) | −11.1168 | + | 51.7215i | −0.371595 | + | 1.72886i | ||||
\(896\) | 2.00000 | + | 1.73205i | 0.0668153 | + | 0.0578638i | ||||
\(897\) | −4.62772 | + | 1.08724i | −0.154515 | + | 0.0363019i | ||||
\(898\) | −17.6644 | + | 10.1985i | −0.589468 | + | 0.340330i | ||||
\(899\) | −12.5584 | + | 21.7518i | −0.418847 | + | 0.725464i | ||||
\(900\) | −7.00000 | + | 13.2665i | −0.233333 | + | 0.442217i | ||||
\(901\) | −25.1168 | + | 14.5012i | −0.836763 | + | 0.483106i | ||||
\(902\) | 6.92820i | 0.230684i | ||||||||
\(903\) | 4.97825 | − | 0.202380i | 0.165666 | − | 0.00673477i | ||||
\(904\) | −14.7446 | −0.490397 | ||||||||
\(905\) | −17.0584 | + | 5.49972i | −0.567041 | + | 0.182817i | ||||
\(906\) | −4.55842 | + | 15.1186i | −0.151443 | + | 0.502281i | ||||
\(907\) | 4.29211 | + | 2.47805i | 0.142517 | + | 0.0822823i | 0.569563 | − | 0.821948i | \(-0.307112\pi\) |
−0.427046 | + | 0.904230i | \(0.640446\pi\) | |||||||
\(908\) | 18.0475 | − | 10.4198i | 0.598929 | − | 0.345792i | ||||
\(909\) | 28.5475 | − | 14.1976i | 0.946862 | − | 0.470906i | ||||
\(910\) | 4.62772 | − | 10.8896i | 0.153407 | − | 0.360988i | ||||
\(911\) | − | 37.8102i | − | 1.25271i | −0.779539 | − | 0.626353i | \(-0.784547\pi\) | ||
0.779539 | − | 0.626353i | \(-0.215453\pi\) | |||||||
\(912\) | 4.37228 | − | 4.10891i | 0.144781 | − | 0.136060i | ||||
\(913\) | −5.55842 | + | 9.62747i | −0.183957 | + | 0.318623i | ||||
\(914\) | 2.44158 | + | 1.40965i | 0.0807602 | + | 0.0466269i | ||||
\(915\) | 42.3505 | − | 25.5383i | 1.40007 | − | 0.844271i | ||||
\(916\) | 13.8564i | 0.457829i | ||||||||
\(917\) | −20.7446 | − | 17.9653i | −0.685046 | − | 0.593267i | ||||
\(918\) | −22.0000 | − | 26.5330i | −0.726108 | − | 0.875719i | ||||
\(919\) | −8.11684 | − | 14.0588i | −0.267750 | − | 0.463757i | 0.700530 | − | 0.713622i | \(-0.252947\pi\) |
−0.968280 | + | 0.249866i | \(0.919613\pi\) | |||||||
\(920\) | 2.05842 | − | 2.27567i | 0.0678642 | − | 0.0750267i | ||||
\(921\) | 12.0584 | − | 39.9933i | 0.397339 | − | 1.31782i | ||||
\(922\) | 11.7446 | + | 20.3422i | 0.386787 | + | 0.669934i | ||||
\(923\) | 17.0256i | 0.560403i | ||||||||
\(924\) | −2.30298 | − | 3.63903i | −0.0757626 | − | 0.119715i | ||||
\(925\) | 16.8832 | − | 37.4603i | 0.555115 | − | 1.23169i | ||||
\(926\) | 5.82473 | − | 3.36291i | 0.191413 | − | 0.110512i | ||||
\(927\) | 0.394031 | − | 6.33830i | 0.0129417 | − | 0.208177i | ||||
\(928\) | 2.87228 | + | 1.65831i | 0.0942873 | + | 0.0544368i | ||||
\(929\) | 17.0584 | + | 29.5461i | 0.559669 | + | 0.969375i | 0.997524 | + | 0.0703291i | \(0.0224049\pi\) |
−0.437855 | + | 0.899046i | \(0.644262\pi\) | |||||||
\(930\) | −0.558422 | − | 29.3248i | −0.0183114 | − | 0.961599i | ||||
\(931\) | −9.00000 | + | 22.5167i | −0.294963 | + | 0.737954i | ||||
\(932\) | 0.510875 | 0.0167343 | ||||||||
\(933\) | 24.0000 | + | 25.5383i | 0.785725 | + | 0.836087i | ||||
\(934\) | 31.5475 | + | 18.2140i | 1.03227 | + | 0.595980i | ||||
\(935\) | −9.35053 | + | 10.3374i | −0.305795 | + | 0.338069i | ||||
\(936\) | 5.00000 | + | 3.31662i | 0.163430 | + | 0.108407i | ||||
\(937\) | −1.35053 | −0.0441200 | −0.0220600 | − | 0.999757i | \(-0.507022\pi\) | ||||
−0.0220600 | + | 0.999757i | \(0.507022\pi\) | |||||||
\(938\) | 2.05842 | + | 5.94215i | 0.0672099 | + | 0.194018i | ||||
\(939\) | −5.25544 | + | 1.23472i | −0.171505 | + | 0.0402935i | ||||
\(940\) | 18.1168 | − | 5.84096i | 0.590906 | − | 0.190511i | ||||
\(941\) | 13.6753 | − | 23.6863i | 0.445801 | − | 0.772150i | −0.552307 | − | 0.833641i | \(-0.686252\pi\) |
0.998108 | + | 0.0614911i | \(0.0195856\pi\) | |||||||
\(942\) | −4.00000 | + | 13.2665i | −0.130327 | + | 0.432246i | ||||
\(943\) | 5.05842 | + | 8.76144i | 0.164725 | + | 0.285312i | ||||
\(944\) | −13.1168 | −0.426917 | ||||||||
\(945\) | 29.9090 | + | 7.10313i | 0.972938 | + | 0.231065i | ||||
\(946\) | 1.02175 | 0.0332199 | ||||||||
\(947\) | 12.9416 | + | 22.4155i | 0.420545 | + | 0.728405i | 0.995993 | − | 0.0894334i | \(-0.0285056\pi\) |
−0.575448 | + | 0.817838i | \(0.695172\pi\) | |||||||
\(948\) | 4.55842 | − | 15.1186i | 0.148051 | − | 0.491029i | ||||
\(949\) | −2.00000 | + | 3.46410i | −0.0649227 | + | 0.112449i | ||||
\(950\) | 17.2337 | − | 1.73205i | 0.559135 | − | 0.0561951i | ||||
\(951\) | −1.88316 | + | 0.442430i | −0.0610655 | + | 0.0143468i | ||||
\(952\) | −17.2337 | − | 3.31662i | −0.558547 | − | 0.107492i | ||||
\(953\) | 48.0000 | 1.55487 | 0.777436 | − | 0.628962i | \(-0.216520\pi\) | ||||
0.777436 | + | 0.628962i | \(0.216520\pi\) | |||||||
\(954\) | 10.9307 | + | 7.25061i | 0.353895 | + | 0.234747i | ||||
\(955\) | 28.2337 | + | 25.5383i | 0.913621 | + | 0.826401i | ||||
\(956\) | −20.4891 | − | 11.8294i | −0.662666 | − | 0.382590i | ||||
\(957\) | −3.69702 | − | 3.93398i | −0.119508 | − | 0.127168i | ||||
\(958\) | −2.74456 | −0.0886728 | ||||||||
\(959\) | −4.37228 | + | 22.7190i | −0.141188 | + | 0.733636i | ||||
\(960\) | −3.87228 | + | 0.0737384i | −0.124977 | + | 0.00237990i | ||||
\(961\) | 13.1753 | + | 22.8202i | 0.425009 | + | 0.736136i | ||||
\(962\) | −14.2337 | − | 8.21782i | −0.458913 | − | 0.264953i | ||||
\(963\) | 1.16439 | − | 18.7302i | 0.0375220 | − | 0.603571i | ||||
\(964\) | 16.6753 | − | 9.62747i | 0.537074 | − | 0.310080i | ||||
\(965\) | −8.44158 | + | 39.2747i | −0.271744 | + | 1.26430i | ||||
\(966\) | −5.56930 | − | 2.92048i | −0.179189 | − | 0.0939649i | ||||
\(967\) | − | 27.6751i | − | 0.889973i | −0.895537 | − | 0.444986i | \(-0.853209\pi\) | ||
0.895537 | − | 0.444986i | \(-0.146791\pi\) | |||||||
\(968\) | 5.05842 | + | 8.76144i | 0.162584 | + | 0.281603i | ||||
\(969\) | −11.4891 | + | 38.1051i | −0.369084 | + | 1.22411i | ||||
\(970\) | 22.6753 | − | 25.0684i | 0.728059 | − | 0.804899i | ||||
\(971\) | 17.1861 | + | 29.7673i | 0.551530 | + | 0.955277i | 0.998165 | + | 0.0605609i | \(0.0192889\pi\) |
−0.446635 | + | 0.894716i | \(0.647378\pi\) | |||||||
\(972\) | −6.31386 | + | 14.2525i | −0.202517 | + | 0.457151i | ||||
\(973\) | −7.11684 | − | 20.5446i | −0.228156 | − | 0.658628i | ||||
\(974\) | 14.5012i | 0.464649i | ||||||||
\(975\) | 5.62772 | + | 16.3807i | 0.180231 | + | 0.524604i | ||||
\(976\) | 11.0584 | + | 6.38458i | 0.353971 | + | 0.204366i | ||||
\(977\) | 14.2337 | − | 24.6535i | 0.455376 | − | 0.788734i | −0.543334 | − | 0.839517i | \(-0.682838\pi\) |
0.998710 | + | 0.0507824i | \(0.0161715\pi\) | |||||||
\(978\) | −4.37228 | + | 4.10891i | −0.139810 | + | 0.131389i | ||||
\(979\) | − | 1.28962i | − | 0.0412164i | ||||||
\(980\) | 14.0584 | − | 6.88192i | 0.449080 | − | 0.219835i | ||||
\(981\) | −21.8030 | + | 10.8434i | −0.696116 | + | 0.346202i | ||||
\(982\) | 26.1861 | − | 15.1186i | 0.835633 | − | 0.482453i | ||||
\(983\) | 21.6861 | + | 12.5205i | 0.691680 | + | 0.399342i | 0.804241 | − | 0.594303i | \(-0.202572\pi\) |
−0.112561 | + | 0.993645i | \(0.535905\pi\) | |||||||
\(984\) | 3.68614 | − | 12.2255i | 0.117510 | − | 0.389736i | ||||
\(985\) | 9.76631 | + | 30.2921i | 0.311181 | + | 0.965185i | ||||
\(986\) | −22.0000 | −0.700623 | ||||||||
\(987\) | −20.8614 | − | 32.9639i | −0.664026 | − | 1.04925i | ||||
\(988\) | − | 6.92820i | − | 0.220416i | ||||||
\(989\) | 1.29211 | − | 0.746000i | 0.0410867 | − | 0.0237214i | ||||
\(990\) | 6.06930 | + | 1.70460i | 0.192895 | + | 0.0541757i | ||||
\(991\) | −11.6753 | + | 20.2222i | −0.370877 | + | 0.642378i | −0.989701 | − | 0.143152i | \(-0.954276\pi\) |
0.618824 | + | 0.785530i | \(0.287610\pi\) | |||||||
\(992\) | 6.55842 | − | 3.78651i | 0.208230 | − | 0.120222i | ||||
\(993\) | 40.8614 | − | 9.60002i | 1.29670 | − | 0.304647i | ||||
\(994\) | −14.7446 | + | 17.0256i | −0.467669 | + | 0.540018i | ||||
\(995\) | 0.605969 | − | 2.81929i | 0.0192105 | − | 0.0893775i | ||||
\(996\) | 14.9307 | − | 14.0313i | 0.473097 | − | 0.444600i | ||||
\(997\) | 19.2337 | − | 33.3137i | 0.609137 | − | 1.05506i | −0.382246 | − | 0.924061i | \(-0.624849\pi\) |
0.991383 | − | 0.130996i | \(-0.0418174\pi\) | |||||||
\(998\) | −3.11684 | + | 5.39853i | −0.0986620 | + | 0.170888i | ||||
\(999\) | 14.8397 | − | 40.0395i | 0.469506 | − | 1.26680i |
(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 | 210.2.t.d.59.1 | yes | 4 | |
3.2 | odd | 2 | 210.2.t.b.59.2 | yes | 4 | ||
5.2 | odd | 4 | 1050.2.s.e.101.1 | 8 | |||
5.3 | odd | 4 | 1050.2.s.e.101.4 | 8 | |||
5.4 | even | 2 | 210.2.t.a.59.2 | ✓ | 4 | ||
7.3 | odd | 6 | 1470.2.d.b.1469.3 | 4 | |||
7.4 | even | 3 | 1470.2.d.a.1469.2 | 4 | |||
7.5 | odd | 6 | 210.2.t.c.89.1 | yes | 4 | ||
15.2 | even | 4 | 1050.2.s.d.101.3 | 8 | |||
15.8 | even | 4 | 1050.2.s.d.101.2 | 8 | |||
15.14 | odd | 2 | 210.2.t.c.59.1 | yes | 4 | ||
21.5 | even | 6 | 210.2.t.a.89.1 | yes | 4 | ||
21.11 | odd | 6 | 1470.2.d.c.1469.1 | 4 | |||
21.17 | even | 6 | 1470.2.d.d.1469.4 | 4 | |||
35.4 | even | 6 | 1470.2.d.d.1469.3 | 4 | |||
35.12 | even | 12 | 1050.2.s.d.551.3 | 8 | |||
35.19 | odd | 6 | 210.2.t.b.89.2 | yes | 4 | ||
35.24 | odd | 6 | 1470.2.d.c.1469.2 | 4 | |||
35.33 | even | 12 | 1050.2.s.d.551.2 | 8 | |||
105.47 | odd | 12 | 1050.2.s.e.551.1 | 8 | |||
105.59 | even | 6 | 1470.2.d.a.1469.1 | 4 | |||
105.68 | odd | 12 | 1050.2.s.e.551.4 | 8 | |||
105.74 | odd | 6 | 1470.2.d.b.1469.4 | 4 | |||
105.89 | even | 6 | inner | 210.2.t.d.89.2 | yes | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.2.t.a.59.2 | ✓ | 4 | 5.4 | even | 2 | ||
210.2.t.a.89.1 | yes | 4 | 21.5 | even | 6 | ||
210.2.t.b.59.2 | yes | 4 | 3.2 | odd | 2 | ||
210.2.t.b.89.2 | yes | 4 | 35.19 | odd | 6 | ||
210.2.t.c.59.1 | yes | 4 | 15.14 | odd | 2 | ||
210.2.t.c.89.1 | yes | 4 | 7.5 | odd | 6 | ||
210.2.t.d.59.1 | yes | 4 | 1.1 | even | 1 | trivial | |
210.2.t.d.89.2 | yes | 4 | 105.89 | even | 6 | inner | |
1050.2.s.d.101.2 | 8 | 15.8 | even | 4 | |||
1050.2.s.d.101.3 | 8 | 15.2 | even | 4 | |||
1050.2.s.d.551.2 | 8 | 35.33 | even | 12 | |||
1050.2.s.d.551.3 | 8 | 35.12 | even | 12 | |||
1050.2.s.e.101.1 | 8 | 5.2 | odd | 4 | |||
1050.2.s.e.101.4 | 8 | 5.3 | odd | 4 | |||
1050.2.s.e.551.1 | 8 | 105.47 | odd | 12 | |||
1050.2.s.e.551.4 | 8 | 105.68 | odd | 12 | |||
1470.2.d.a.1469.1 | 4 | 105.59 | even | 6 | |||
1470.2.d.a.1469.2 | 4 | 7.4 | even | 3 | |||
1470.2.d.b.1469.3 | 4 | 7.3 | odd | 6 | |||
1470.2.d.b.1469.4 | 4 | 105.74 | odd | 6 | |||
1470.2.d.c.1469.1 | 4 | 21.11 | odd | 6 | |||
1470.2.d.c.1469.2 | 4 | 35.24 | odd | 6 | |||
1470.2.d.d.1469.3 | 4 | 35.4 | even | 6 | |||
1470.2.d.d.1469.4 | 4 | 21.17 | even | 6 |