Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1242,2,Mod(415,1242)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1242, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1242.415");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1242 = 2 \cdot 3^{3} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1242.e (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.91741993104\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.288778218147.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + 7x^{8} - 4x^{7} + 34x^{6} - 19x^{5} + 64x^{4} - x^{3} + 64x^{2} - 21x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3^{4} \) |
Twist minimal: | no (minimal twist has level 414) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 829.5 | ||
Root | \(1.07065 + 1.85442i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1242.829 |
Dual form | 1242.2.e.b.415.5 |
$q$-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 \(\left(\mathbb{Z}/1242\mathbb{Z}\right)^\times\).
\(n\) | \(461\) | \(649\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 1.69714 | + | 2.93953i | 0.758985 | + | 1.31460i | 0.943369 | + | 0.331746i | \(0.107638\pi\) |
−0.184384 | + | 0.982854i | \(0.559029\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.74607 | + | 3.02428i | −0.659953 | + | 1.14307i | 0.320674 | + | 0.947189i | \(0.396090\pi\) |
−0.980627 | + | 0.195883i | \(0.937243\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.39428 | −1.07337 | ||||||||
\(11\) | 2.39735 | − | 4.15233i | 0.722828 | − | 1.25198i | −0.237033 | − | 0.971502i | \(-0.576175\pi\) |
0.959862 | − | 0.280474i | \(-0.0904917\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.56373 | + | 4.44052i | 0.711052 | + | 1.23158i | 0.964463 | + | 0.264219i | \(0.0851143\pi\) |
−0.253410 | + | 0.967359i | \(0.581552\pi\) | |||||||
\(14\) | −1.74607 | − | 3.02428i | −0.466657 | − | 0.808274i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 6.35504 | 1.54132 | 0.770662 | − | 0.637245i | \(-0.219926\pi\) | ||||
0.770662 | + | 0.637245i | \(0.219926\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.15998 | 0.724948 | 0.362474 | − | 0.931994i | \(-0.381932\pi\) | ||||
0.362474 | + | 0.931994i | \(0.381932\pi\) | |||||||
\(20\) | 1.69714 | − | 2.93953i | 0.379492 | − | 0.657300i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.39735 | + | 4.15233i | 0.511117 | + | 0.885280i | ||||
\(23\) | 0.500000 | + | 0.866025i | 0.104257 | + | 0.180579i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.26058 | + | 5.64748i | −0.652115 | + | 1.12950i | ||||
\(26\) | −5.12747 | −1.00558 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.49214 | 0.659953 | ||||||||
\(29\) | −1.22952 | + | 2.12959i | −0.228316 | + | 0.395455i | −0.957309 | − | 0.289066i | \(-0.906655\pi\) |
0.728993 | + | 0.684521i | \(0.239989\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.830547 | − | 1.43855i | −0.149171 | − | 0.258371i | 0.781750 | − | 0.623591i | \(-0.214327\pi\) |
−0.930921 | + | 0.365220i | \(0.880994\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.17752 | + | 5.50362i | −0.544940 | + | 0.943864i | ||||
\(35\) | −11.8533 | −2.00358 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −9.88582 | −1.62522 | −0.812610 | − | 0.582808i | \(-0.801954\pi\) | ||||
−0.812610 | + | 0.582808i | \(0.801954\pi\) | |||||||
\(38\) | −1.57999 | + | 2.73662i | −0.256308 | + | 0.443938i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.69714 | + | 2.93953i | 0.268342 | + | 0.464781i | ||||
\(41\) | 2.74914 | + | 4.76165i | 0.429344 | + | 0.743645i | 0.996815 | − | 0.0797482i | \(-0.0254116\pi\) |
−0.567471 | + | 0.823393i | \(0.692078\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.387635 | − | 0.671404i | 0.0591138 | − | 0.102388i | −0.834954 | − | 0.550320i | \(-0.814506\pi\) |
0.894068 | + | 0.447932i | \(0.147839\pi\) | |||||||
\(44\) | −4.79470 | −0.722828 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.00000 | −0.147442 | ||||||||
\(47\) | 5.55862 | − | 9.62781i | 0.810808 | − | 1.40436i | −0.101492 | − | 0.994836i | \(-0.532362\pi\) |
0.912300 | − | 0.409524i | \(-0.134305\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.59753 | − | 4.49906i | −0.371076 | − | 0.642722i | ||||
\(50\) | −3.26058 | − | 5.64748i | −0.461115 | − | 0.798675i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.56373 | − | 4.44052i | 0.355526 | − | 0.615789i | ||||
\(53\) | −6.41715 | −0.881464 | −0.440732 | − | 0.897639i | \(-0.645281\pi\) | ||||
−0.440732 | + | 0.897639i | \(0.645281\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 16.2746 | 2.19446 | ||||||||
\(56\) | −1.74607 | + | 3.02428i | −0.233329 | + | 0.404137i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.22952 | − | 2.12959i | −0.161444 | − | 0.279629i | ||||
\(59\) | 3.08029 | + | 5.33522i | 0.401019 | + | 0.694586i | 0.993849 | − | 0.110742i | \(-0.0353227\pi\) |
−0.592830 | + | 0.805328i | \(0.701989\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.632287 | + | 1.09515i | −0.0809561 | + | 0.140220i | −0.903661 | − | 0.428249i | \(-0.859131\pi\) |
0.822705 | + | 0.568469i | \(0.192464\pi\) | |||||||
\(62\) | 1.66109 | 0.210959 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −8.70204 | + | 15.0724i | −1.07936 | + | 1.86950i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.74607 | − | 3.02428i | −0.213317 | − | 0.369475i | 0.739434 | − | 0.673229i | \(-0.235093\pi\) |
−0.952751 | + | 0.303754i | \(0.901760\pi\) | |||||||
\(68\) | −3.17752 | − | 5.50362i | −0.385331 | − | 0.667412i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 5.92666 | − | 10.2653i | 0.708371 | − | 1.22694i | ||||
\(71\) | −16.4462 | −1.95180 | −0.975900 | − | 0.218218i | \(-0.929976\pi\) | ||||
−0.975900 | + | 0.218218i | \(0.929976\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.89600 | 0.690075 | 0.345037 | − | 0.938589i | \(-0.387866\pi\) | ||||
0.345037 | + | 0.938589i | \(0.387866\pi\) | |||||||
\(74\) | 4.94291 | − | 8.56138i | 0.574602 | − | 0.995240i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.57999 | − | 2.73662i | −0.181237 | − | 0.313912i | ||||
\(77\) | 8.37189 | + | 14.5005i | 0.954066 | + | 1.65249i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.43033 | + | 5.94150i | −0.385942 | + | 0.668471i | −0.991899 | − | 0.127026i | \(-0.959457\pi\) |
0.605957 | + | 0.795497i | \(0.292790\pi\) | |||||||
\(80\) | −3.39428 | −0.379492 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.49828 | −0.607183 | ||||||||
\(83\) | 3.29807 | − | 5.71243i | 0.362010 | − | 0.627020i | −0.626281 | − | 0.779597i | \(-0.715424\pi\) |
0.988292 | + | 0.152577i | \(0.0487572\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 10.7854 | + | 18.6809i | 1.16984 | + | 2.02622i | ||||
\(86\) | 0.387635 | + | 0.671404i | 0.0417998 | + | 0.0723993i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.39735 | − | 4.15233i | 0.255558 | − | 0.442640i | ||||
\(89\) | −14.4886 | −1.53579 | −0.767897 | − | 0.640574i | \(-0.778697\pi\) | ||||
−0.767897 | + | 0.640574i | \(0.778697\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −17.9059 | −1.87704 | ||||||||
\(92\) | 0.500000 | − | 0.866025i | 0.0521286 | − | 0.0902894i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 5.55862 | + | 9.62781i | 0.573328 | + | 0.993032i | ||||
\(95\) | 5.36292 | + | 9.28886i | 0.550224 | + | 0.953017i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.770482 | − | 1.33451i | 0.0782306 | − | 0.135499i | −0.824256 | − | 0.566217i | \(-0.808406\pi\) |
0.902487 | + | 0.430718i | \(0.141740\pi\) | |||||||
\(98\) | 5.19506 | 0.524781 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.52115 | 0.652115 | ||||||||
\(101\) | 4.84505 | − | 8.39188i | 0.482101 | − | 0.835023i | −0.517688 | − | 0.855569i | \(-0.673207\pi\) |
0.999789 | + | 0.0205465i | \(0.00654062\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.56148 | + | 9.63277i | 0.547989 | + | 0.949145i | 0.998412 | + | 0.0563301i | \(0.0179399\pi\) |
−0.450423 | + | 0.892815i | \(0.648727\pi\) | |||||||
\(104\) | 2.56373 | + | 4.44052i | 0.251395 | + | 0.435429i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.20858 | − | 5.55742i | 0.311644 | − | 0.539784i | ||||
\(107\) | 14.8829 | 1.43879 | 0.719393 | − | 0.694603i | \(-0.244420\pi\) | ||||
0.719393 | + | 0.694603i | \(0.244420\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −11.9775 | −1.14724 | −0.573618 | − | 0.819123i | \(-0.694460\pi\) | ||||
−0.573618 | + | 0.819123i | \(0.694460\pi\) | |||||||
\(110\) | −8.13728 | + | 14.0942i | −0.775860 | + | 1.34383i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.74607 | − | 3.02428i | −0.164988 | − | 0.285768i | ||||
\(113\) | −1.92838 | − | 3.34005i | −0.181407 | − | 0.314205i | 0.760953 | − | 0.648807i | \(-0.224732\pi\) |
−0.942360 | + | 0.334601i | \(0.891398\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.69714 | + | 2.93953i | −0.158259 | + | 0.274113i | ||||
\(116\) | 2.45904 | 0.228316 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −6.16058 | −0.567127 | ||||||||
\(119\) | −11.0964 | + | 19.2194i | −1.01720 | + | 1.76184i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.99458 | − | 10.3829i | −0.544962 | − | 0.943902i | ||||
\(122\) | −0.632287 | − | 1.09515i | −0.0572446 | − | 0.0991506i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.830547 | + | 1.43855i | −0.0745854 | + | 0.129186i | ||||
\(125\) | −5.16322 | −0.461812 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.31645 | −0.649230 | −0.324615 | − | 0.945846i | \(-0.605235\pi\) | ||||
−0.324615 | + | 0.945846i | \(0.605235\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −8.70204 | − | 15.0724i | −0.763219 | − | 1.32193i | ||||
\(131\) | −3.57550 | − | 6.19295i | −0.312393 | − | 0.541080i | 0.666487 | − | 0.745517i | \(-0.267797\pi\) |
−0.978880 | + | 0.204436i | \(0.934464\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.51754 | + | 9.55667i | −0.478432 | + | 0.828668i | ||||
\(134\) | 3.49214 | 0.301675 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 6.35504 | 0.544940 | ||||||||
\(137\) | 3.38252 | − | 5.85869i | 0.288988 | − | 0.500542i | −0.684581 | − | 0.728937i | \(-0.740015\pi\) |
0.973568 | + | 0.228395i | \(0.0733479\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.43310 | − | 2.48220i | −0.121554 | − | 0.210537i | 0.798827 | − | 0.601561i | \(-0.205454\pi\) |
−0.920381 | + | 0.391024i | \(0.872121\pi\) | |||||||
\(140\) | 5.92666 | + | 10.2653i | 0.500894 | + | 0.867574i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 8.22308 | − | 14.2428i | 0.690066 | − | 1.19523i | ||||
\(143\) | 24.5847 | 2.05587 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −8.34666 | −0.693153 | ||||||||
\(146\) | −2.94800 | + | 5.10609i | −0.243978 | + | 0.422583i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.94291 | + | 8.56138i | 0.406305 | + | 0.703741i | ||||
\(149\) | 0.500601 | + | 0.867066i | 0.0410108 | + | 0.0710328i | 0.885802 | − | 0.464063i | \(-0.153609\pi\) |
−0.844791 | + | 0.535096i | \(0.820276\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.31459 | − | 2.27694i | 0.106980 | − | 0.185295i | −0.807565 | − | 0.589778i | \(-0.799215\pi\) |
0.914546 | + | 0.404483i | \(0.132549\pi\) | |||||||
\(152\) | 3.15998 | 0.256308 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −16.7438 | −1.34925 | ||||||||
\(155\) | 2.81911 | − | 4.88285i | 0.226437 | − | 0.392200i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.45290 | + | 16.3729i | 0.754423 | + | 1.30670i | 0.945660 | + | 0.325156i | \(0.105417\pi\) |
−0.191237 | + | 0.981544i | \(0.561250\pi\) | |||||||
\(158\) | −3.43033 | − | 5.94150i | −0.272902 | − | 0.472681i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.69714 | − | 2.93953i | 0.134171 | − | 0.232391i | ||||
\(161\) | −3.49214 | −0.275219 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 15.6754 | 1.22779 | 0.613896 | − | 0.789387i | \(-0.289602\pi\) | ||||
0.613896 | + | 0.789387i | \(0.289602\pi\) | |||||||
\(164\) | 2.74914 | − | 4.76165i | 0.214672 | − | 0.371822i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.29807 | + | 5.71243i | 0.255980 | + | 0.443370i | ||||
\(167\) | −6.30918 | − | 10.9278i | −0.488219 | − | 0.845620i | 0.511689 | − | 0.859170i | \(-0.329020\pi\) |
−0.999908 | + | 0.0135508i | \(0.995686\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.64547 | + | 11.5103i | −0.511190 | + | 0.885407i | ||||
\(170\) | −21.5708 | −1.65440 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.775270 | −0.0591138 | ||||||||
\(173\) | −0.301440 | + | 0.522109i | −0.0229180 | + | 0.0396952i | −0.877257 | − | 0.480021i | \(-0.840629\pi\) |
0.854339 | + | 0.519716i | \(0.173962\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −11.3864 | − | 19.7218i | −0.860731 | − | 1.49083i | ||||
\(176\) | 2.39735 | + | 4.15233i | 0.180707 | + | 0.312994i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 7.24432 | − | 12.5475i | 0.542985 | − | 0.940477i | ||||
\(179\) | −10.1600 | −0.759392 | −0.379696 | − | 0.925111i | \(-0.623971\pi\) | ||||
−0.379696 | + | 0.925111i | \(0.623971\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.42165 | −0.551647 | −0.275824 | − | 0.961208i | \(-0.588951\pi\) | ||||
−0.275824 | + | 0.961208i | \(0.588951\pi\) | |||||||
\(182\) | 8.95293 | − | 15.5069i | 0.663635 | − | 1.14945i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.500000 | + | 0.866025i | 0.0368605 | + | 0.0638442i | ||||
\(185\) | −16.7776 | − | 29.0597i | −1.23352 | − | 2.13651i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 15.2353 | − | 26.3882i | 1.11411 | − | 1.92970i | ||||
\(188\) | −11.1172 | −0.810808 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −10.7258 | −0.778135 | ||||||||
\(191\) | 2.15681 | − | 3.73570i | 0.156061 | − | 0.270306i | −0.777384 | − | 0.629027i | \(-0.783454\pi\) |
0.933445 | + | 0.358721i | \(0.116787\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.86487 | − | 6.69416i | −0.278200 | − | 0.481856i | 0.692738 | − | 0.721190i | \(-0.256404\pi\) |
−0.970937 | + | 0.239334i | \(0.923071\pi\) | |||||||
\(194\) | 0.770482 | + | 1.33451i | 0.0553174 | + | 0.0958125i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.59753 | + | 4.49906i | −0.185538 | + | 0.321361i | ||||
\(197\) | 19.4668 | 1.38695 | 0.693476 | − | 0.720480i | \(-0.256078\pi\) | ||||
0.693476 | + | 0.720480i | \(0.256078\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.661496 | 0.0468922 | 0.0234461 | − | 0.999725i | \(-0.492536\pi\) | ||||
0.0234461 | + | 0.999725i | \(0.492536\pi\) | |||||||
\(200\) | −3.26058 | + | 5.64748i | −0.230558 | + | 0.399337i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.84505 | + | 8.39188i | 0.340897 | + | 0.590450i | ||||
\(203\) | −4.29365 | − | 7.43682i | −0.301355 | − | 0.521963i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −9.33136 | + | 16.1624i | −0.651730 | + | 1.12883i | ||||
\(206\) | −11.1230 | −0.774974 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −5.12747 | −0.355526 | ||||||||
\(209\) | 7.57557 | − | 13.1213i | 0.524013 | − | 0.907617i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.05925 | − | 10.4949i | −0.417136 | − | 0.722500i | 0.578514 | − | 0.815672i | \(-0.303633\pi\) |
−0.995650 | + | 0.0931719i | \(0.970299\pi\) | |||||||
\(212\) | 3.20858 | + | 5.55742i | 0.220366 | + | 0.381685i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −7.44146 | + | 12.8890i | −0.508688 | + | 0.881073i | ||||
\(215\) | 2.63149 | 0.179466 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.80078 | 0.393783 | ||||||||
\(218\) | 5.98874 | − | 10.3728i | 0.405609 | − | 0.702535i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −8.13728 | − | 14.0942i | −0.548616 | − | 0.950230i | ||||
\(221\) | 16.2926 | + | 28.2197i | 1.09596 | + | 1.89826i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −9.59774 | + | 16.6238i | −0.642712 | + | 1.11321i | 0.342113 | + | 0.939659i | \(0.388858\pi\) |
−0.984825 | + | 0.173551i | \(0.944476\pi\) | |||||||
\(224\) | 3.49214 | 0.233329 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.85676 | 0.256548 | ||||||||
\(227\) | 7.78876 | − | 13.4905i | 0.516958 | − | 0.895398i | −0.482848 | − | 0.875704i | \(-0.660397\pi\) |
0.999806 | − | 0.0196939i | \(-0.00626918\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 5.29223 | + | 9.16642i | 0.349721 | + | 0.605734i | 0.986200 | − | 0.165560i | \(-0.0529432\pi\) |
−0.636479 | + | 0.771294i | \(0.719610\pi\) | |||||||
\(230\) | −1.69714 | − | 2.93953i | −0.111906 | − | 0.193827i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.22952 | + | 2.12959i | −0.0807218 | + | 0.139814i | ||||
\(233\) | −10.2477 | −0.671346 | −0.335673 | − | 0.941978i | \(-0.608964\pi\) | ||||
−0.335673 | + | 0.941978i | \(0.608964\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 37.7350 | 2.46156 | ||||||||
\(236\) | 3.08029 | − | 5.33522i | 0.200510 | − | 0.347293i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −11.0964 | − | 19.2194i | −0.719270 | − | 1.24581i | ||||
\(239\) | 6.67263 | + | 11.5573i | 0.431617 | + | 0.747582i | 0.997013 | − | 0.0772376i | \(-0.0246100\pi\) |
−0.565396 | + | 0.824820i | \(0.691277\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 15.0065 | − | 25.9919i | 0.966651 | − | 1.67429i | 0.261538 | − | 0.965193i | \(-0.415770\pi\) |
0.705113 | − | 0.709095i | \(-0.250896\pi\) | |||||||
\(242\) | 11.9892 | 0.770693 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1.26457 | 0.0809561 | ||||||||
\(245\) | 8.81675 | − | 15.2711i | 0.563282 | − | 0.975633i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 8.10134 | + | 14.0319i | 0.515476 | + | 0.892830i | ||||
\(248\) | −0.830547 | − | 1.43855i | −0.0527398 | − | 0.0913480i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.58161 | − | 4.47148i | 0.163275 | − | 0.282801i | ||||
\(251\) | 13.1961 | 0.832929 | 0.416465 | − | 0.909152i | \(-0.363269\pi\) | ||||
0.416465 | + | 0.909152i | \(0.363269\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.79470 | 0.301440 | ||||||||
\(254\) | 3.65823 | − | 6.33623i | 0.229538 | − | 0.397571i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −4.89203 | − | 8.47325i | −0.305157 | − | 0.528547i | 0.672140 | − | 0.740424i | \(-0.265375\pi\) |
−0.977296 | + | 0.211878i | \(0.932042\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 17.2614 | − | 29.8975i | 1.07257 | − | 1.85774i | ||||
\(260\) | 17.4041 | 1.07936 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 7.15100 | 0.441790 | ||||||||
\(263\) | −4.58904 | + | 7.94846i | −0.282973 | + | 0.490123i | −0.972116 | − | 0.234503i | \(-0.924654\pi\) |
0.689143 | + | 0.724625i | \(0.257987\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −10.8908 | − | 18.8634i | −0.669017 | − | 1.15877i | ||||
\(266\) | −5.51754 | − | 9.55667i | −0.338302 | − | 0.585957i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.74607 | + | 3.02428i | −0.106658 | + | 0.184738i | ||||
\(269\) | 19.2842 | 1.17578 | 0.587889 | − | 0.808941i | \(-0.299959\pi\) | ||||
0.587889 | + | 0.808941i | \(0.299959\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 12.5171 | 0.760357 | 0.380178 | − | 0.924913i | \(-0.375863\pi\) | ||||
0.380178 | + | 0.924913i | \(0.375863\pi\) | |||||||
\(272\) | −3.17752 | + | 5.50362i | −0.192665 | + | 0.333706i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 3.38252 | + | 5.85869i | 0.204345 | + | 0.353936i | ||||
\(275\) | 15.6335 | + | 27.0780i | 0.942735 | + | 1.63286i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 12.5091 | − | 21.6664i | 0.751598 | − | 1.30181i | −0.195451 | − | 0.980714i | \(-0.562617\pi\) |
0.947048 | − | 0.321092i | \(-0.104050\pi\) | |||||||
\(278\) | 2.86619 | 0.171903 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −11.8533 | −0.708371 | ||||||||
\(281\) | −2.20838 | + | 3.82502i | −0.131741 | + | 0.228182i | −0.924348 | − | 0.381551i | \(-0.875390\pi\) |
0.792607 | + | 0.609733i | \(0.208723\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6.50840 | + | 11.2729i | 0.386884 | + | 0.670103i | 0.992029 | − | 0.126013i | \(-0.0402181\pi\) |
−0.605145 | + | 0.796116i | \(0.706885\pi\) | |||||||
\(284\) | 8.22308 | + | 14.2428i | 0.487950 | + | 0.845154i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −12.2923 | + | 21.2910i | −0.726861 | + | 1.25896i | ||||
\(287\) | −19.2008 | −1.13339 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 23.3865 | 1.37568 | ||||||||
\(290\) | 4.17333 | − | 7.22842i | 0.245066 | − | 0.424468i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −2.94800 | − | 5.10609i | −0.172519 | − | 0.298811i | ||||
\(293\) | 8.65516 | + | 14.9912i | 0.505640 | + | 0.875794i | 0.999979 | + | 0.00652448i | \(0.00207682\pi\) |
−0.494339 | + | 0.869269i | \(0.664590\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.4554 | + | 18.1092i | −0.608735 | + | 1.05436i | ||||
\(296\) | −9.88582 | −0.574602 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.00120 | −0.0579980 | ||||||||
\(299\) | −2.56373 | + | 4.44052i | −0.148265 | + | 0.256802i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.35368 | + | 2.34464i | 0.0780247 | + | 0.135143i | ||||
\(302\) | 1.31459 | + | 2.27694i | 0.0756464 | + | 0.131023i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.57999 | + | 2.73662i | −0.0906185 | + | 0.156956i | ||||
\(305\) | −4.29232 | −0.245778 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −16.3885 | −0.935340 | −0.467670 | − | 0.883903i | \(-0.654906\pi\) | ||||
−0.467670 | + | 0.883903i | \(0.654906\pi\) | |||||||
\(308\) | 8.37189 | − | 14.5005i | 0.477033 | − | 0.826245i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.81911 | + | 4.88285i | 0.160115 | + | 0.277327i | ||||
\(311\) | −12.4319 | − | 21.5326i | −0.704946 | − | 1.22100i | −0.966711 | − | 0.255871i | \(-0.917638\pi\) |
0.261765 | − | 0.965132i | \(-0.415695\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.256278 | + | 0.443887i | −0.0144857 | + | 0.0250900i | −0.873177 | − | 0.487403i | \(-0.837944\pi\) |
0.858692 | + | 0.512493i | \(0.171278\pi\) | |||||||
\(314\) | −18.9058 | −1.06692 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 6.86066 | 0.385942 | ||||||||
\(317\) | 6.72374 | − | 11.6459i | 0.377643 | − | 0.654097i | −0.613076 | − | 0.790024i | \(-0.710068\pi\) |
0.990719 | + | 0.135927i | \(0.0434014\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.89517 | + | 10.2107i | 0.330066 | + | 0.571692i | ||||
\(320\) | 1.69714 | + | 2.93953i | 0.0948731 | + | 0.164325i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.74607 | − | 3.02428i | 0.0973048 | − | 0.168537i | ||||
\(323\) | 20.0818 | 1.11738 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −33.4370 | −1.85475 | ||||||||
\(326\) | −7.83770 | + | 13.5753i | −0.434090 | + | 0.751866i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.74914 | + | 4.76165i | 0.151796 | + | 0.262918i | ||||
\(329\) | 19.4115 | + | 33.6217i | 1.07019 | + | 1.85362i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.377758 | − | 0.654296i | 0.0207635 | − | 0.0359634i | −0.855457 | − | 0.517874i | \(-0.826724\pi\) |
0.876220 | + | 0.481911i | \(0.160057\pi\) | |||||||
\(332\) | −6.59614 | −0.362010 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 12.6184 | 0.690446 | ||||||||
\(335\) | 5.92666 | − | 10.2653i | 0.323808 | − | 0.560852i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.72552 | + | 6.45279i | 0.202942 | + | 0.351506i | 0.949475 | − | 0.313842i | \(-0.101616\pi\) |
−0.746533 | + | 0.665348i | \(0.768283\pi\) | |||||||
\(338\) | −6.64547 | − | 11.5103i | −0.361466 | − | 0.626077i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 10.7854 | − | 18.6809i | 0.584920 | − | 1.01311i | ||||
\(341\) | −7.96445 | −0.431299 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.30310 | −0.340335 | ||||||||
\(344\) | 0.387635 | − | 0.671404i | 0.0208999 | − | 0.0361997i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.301440 | − | 0.522109i | −0.0162055 | − | 0.0280687i | ||||
\(347\) | −0.427050 | − | 0.739673i | −0.0229253 | − | 0.0397077i | 0.854335 | − | 0.519722i | \(-0.173965\pi\) |
−0.877260 | + | 0.480015i | \(0.840631\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −18.2104 | + | 31.5413i | −0.974781 | + | 1.68837i | −0.294124 | + | 0.955767i | \(0.595028\pi\) |
−0.680657 | + | 0.732602i | \(0.738306\pi\) | |||||||
\(350\) | 22.7728 | 1.21726 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.79470 | −0.255558 | ||||||||
\(353\) | 4.59723 | − | 7.96264i | 0.244686 | − | 0.423808i | −0.717357 | − | 0.696705i | \(-0.754648\pi\) |
0.962043 | + | 0.272897i | \(0.0879818\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −27.9115 | − | 48.3441i | −1.48139 | − | 2.56584i | ||||
\(356\) | 7.24432 | + | 12.5475i | 0.383948 | + | 0.665018i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 5.07999 | − | 8.79880i | 0.268486 | − | 0.465031i | ||||
\(359\) | 27.0648 | 1.42843 | 0.714213 | − | 0.699929i | \(-0.246785\pi\) | ||||
0.714213 | + | 0.699929i | \(0.246785\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.01455 | −0.474450 | ||||||||
\(362\) | 3.71083 | − | 6.42734i | 0.195037 | − | 0.337813i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 8.95293 | + | 15.5069i | 0.469261 | + | 0.812784i | ||||
\(365\) | 10.0063 | + | 17.3315i | 0.523756 | + | 0.907172i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 17.8506 | − | 30.9181i | 0.931793 | − | 1.61391i | 0.151537 | − | 0.988452i | \(-0.451578\pi\) |
0.780256 | − | 0.625461i | \(-0.215089\pi\) | |||||||
\(368\) | −1.00000 | −0.0521286 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 33.5553 | 1.74446 | ||||||||
\(371\) | 11.2048 | − | 19.4073i | 0.581725 | − | 1.00758i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −15.7450 | − | 27.2711i | −0.815243 | − | 1.41204i | −0.909153 | − | 0.416462i | \(-0.863270\pi\) |
0.0939100 | − | 0.995581i | \(-0.470063\pi\) | |||||||
\(374\) | 15.2353 | + | 26.3882i | 0.787796 | + | 1.36450i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.55862 | − | 9.62781i | 0.286664 | − | 0.496516i | ||||
\(377\) | −12.6086 | −0.649378 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −9.46354 | −0.486109 | −0.243055 | − | 0.970013i | \(-0.578149\pi\) | ||||
−0.243055 | + | 0.970013i | \(0.578149\pi\) | |||||||
\(380\) | 5.36292 | − | 9.28886i | 0.275112 | − | 0.476508i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 2.15681 | + | 3.73570i | 0.110352 | + | 0.191135i | ||||
\(383\) | −11.0060 | − | 19.0629i | −0.562378 | − | 0.974068i | −0.997288 | − | 0.0735937i | \(-0.976553\pi\) |
0.434910 | − | 0.900474i | \(-0.356780\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −28.4166 | + | 49.2189i | −1.44824 | + | 2.50843i | ||||
\(386\) | 7.72975 | 0.393434 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −1.54096 | −0.0782306 | ||||||||
\(389\) | 8.50635 | − | 14.7334i | 0.431289 | − | 0.747014i | −0.565696 | − | 0.824614i | \(-0.691392\pi\) |
0.996985 | + | 0.0775998i | \(0.0247256\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.17752 | + | 5.50362i | 0.160694 | + | 0.278330i | ||||
\(392\) | −2.59753 | − | 4.49906i | −0.131195 | − | 0.227237i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −9.73340 | + | 16.8587i | −0.490361 | + | 0.849331i | ||||
\(395\) | −23.2870 | −1.17170 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 14.4557 | 0.725513 | 0.362756 | − | 0.931884i | \(-0.381836\pi\) | ||||
0.362756 | + | 0.931884i | \(0.381836\pi\) | |||||||
\(398\) | −0.330748 | + | 0.572872i | −0.0165789 | + | 0.0287155i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.26058 | − | 5.64748i | −0.163029 | − | 0.282374i | ||||
\(401\) | −0.340134 | − | 0.589129i | −0.0169855 | − | 0.0294197i | 0.857408 | − | 0.514638i | \(-0.172074\pi\) |
−0.874393 | + | 0.485218i | \(0.838740\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 4.25861 | − | 7.37612i | 0.212136 | − | 0.367431i | ||||
\(404\) | −9.69010 | −0.482101 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 8.58731 | 0.426181 | ||||||||
\(407\) | −23.6998 | + | 41.0492i | −1.17475 | + | 2.03474i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 8.57201 | + | 14.8472i | 0.423859 | + | 0.734145i | 0.996313 | − | 0.0857918i | \(-0.0273420\pi\) |
−0.572454 | + | 0.819937i | \(0.694009\pi\) | |||||||
\(410\) | −9.33136 | − | 16.1624i | −0.460843 | − | 0.798203i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 5.56148 | − | 9.63277i | 0.273995 | − | 0.474573i | ||||
\(413\) | −21.5136 | −1.05862 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 22.3892 | 1.09904 | ||||||||
\(416\) | 2.56373 | − | 4.44052i | 0.125697 | − | 0.217714i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 7.57557 | + | 13.1213i | 0.370533 | + | 0.641782i | ||||
\(419\) | 5.29969 | + | 9.17933i | 0.258907 | + | 0.448440i | 0.965949 | − | 0.258731i | \(-0.0833044\pi\) |
−0.707043 | + | 0.707171i | \(0.749971\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.80320 | − | 6.58733i | 0.185356 | − | 0.321047i | −0.758340 | − | 0.651859i | \(-0.773989\pi\) |
0.943697 | + | 0.330812i | \(0.107323\pi\) | |||||||
\(422\) | 12.1185 | 0.589919 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −6.41715 | −0.311644 | ||||||||
\(425\) | −20.7211 | + | 35.8900i | −1.00512 | + | 1.74092i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.20804 | − | 3.82443i | −0.106854 | − | 0.185077i | ||||
\(428\) | −7.44146 | − | 12.8890i | −0.359697 | − | 0.623013i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.31574 | + | 2.27893i | −0.0634508 | + | 0.109900i | ||||
\(431\) | 33.0832 | 1.59356 | 0.796780 | − | 0.604269i | \(-0.206535\pi\) | ||||
0.796780 | + | 0.604269i | \(0.206535\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 30.6096 | 1.47101 | 0.735503 | − | 0.677522i | \(-0.236946\pi\) | ||||
0.735503 | + | 0.677522i | \(0.236946\pi\) | |||||||
\(434\) | −2.90039 | + | 5.02362i | −0.139223 | + | 0.241142i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 5.98874 | + | 10.3728i | 0.286809 | + | 0.496767i | ||||
\(437\) | 1.57999 | + | 2.73662i | 0.0755811 | + | 0.130910i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2.23860 | + | 3.87738i | −0.106843 | + | 0.185057i | −0.914490 | − | 0.404609i | \(-0.867407\pi\) |
0.807647 | + | 0.589666i | \(0.200741\pi\) | |||||||
\(440\) | 16.2746 | 0.775860 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −32.5853 | −1.54992 | ||||||||
\(443\) | −6.69807 | + | 11.6014i | −0.318235 | + | 0.551199i | −0.980120 | − | 0.198406i | \(-0.936423\pi\) |
0.661885 | + | 0.749606i | \(0.269757\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −24.5893 | − | 42.5899i | −1.16564 | − | 2.01895i | ||||
\(446\) | −9.59774 | − | 16.6238i | −0.454466 | − | 0.787159i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.74607 | + | 3.02428i | −0.0824941 | + | 0.142884i | ||||
\(449\) | −7.07071 | −0.333687 | −0.166844 | − | 0.985983i | \(-0.553358\pi\) | ||||
−0.166844 | + | 0.985983i | \(0.553358\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 26.3626 | 1.24137 | ||||||||
\(452\) | −1.92838 | + | 3.34005i | −0.0907033 | + | 0.157103i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 7.78876 | + | 13.4905i | 0.365545 | + | 0.633142i | ||||
\(455\) | −30.3888 | − | 52.6349i | −1.42465 | − | 2.46756i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.00878737 | + | 0.0152202i | −0.000411056 | + | 0.000711969i | −0.866231 | − | 0.499644i | \(-0.833464\pi\) |
0.865820 | + | 0.500356i | \(0.166798\pi\) | |||||||
\(458\) | −10.5845 | −0.494580 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.39428 | 0.158259 | ||||||||
\(461\) | −15.6892 | + | 27.1745i | −0.730719 | + | 1.26564i | 0.225858 | + | 0.974160i | \(0.427481\pi\) |
−0.956576 | + | 0.291481i | \(0.905852\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.12357 | + | 3.67813i | 0.0986907 | + | 0.170937i | 0.911143 | − | 0.412090i | \(-0.135201\pi\) |
−0.812452 | + | 0.583028i | \(0.801868\pi\) | |||||||
\(464\) | −1.22952 | − | 2.12959i | −0.0570789 | − | 0.0988636i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 5.12383 | − | 8.87473i | 0.237357 | − | 0.411114i | ||||
\(467\) | −30.9792 | −1.43354 | −0.716772 | − | 0.697307i | \(-0.754381\pi\) | ||||
−0.716772 | + | 0.697307i | \(0.754381\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 12.1951 | 0.563116 | ||||||||
\(470\) | −18.8675 | + | 32.6795i | −0.870293 | + | 1.50739i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.08029 | + | 5.33522i | 0.141782 | + | 0.245573i | ||||
\(473\) | −1.85859 | − | 3.21918i | −0.0854583 | − | 0.148018i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.3033 | + | 17.8459i | −0.472750 | + | 0.818826i | ||||
\(476\) | 22.1927 | 1.01720 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −13.3453 | −0.610398 | ||||||||
\(479\) | 13.9406 | − | 24.1459i | 0.636963 | − | 1.10325i | −0.349133 | − | 0.937073i | \(-0.613524\pi\) |
0.986096 | − | 0.166179i | \(-0.0531429\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −25.3446 | − | 43.8982i | −1.15562 | − | 2.00159i | ||||
\(482\) | 15.0065 | + | 25.9919i | 0.683525 | + | 1.18390i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −5.99458 | + | 10.3829i | −0.272481 | + | 0.471951i | ||||
\(485\) | 5.23047 | 0.237503 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 20.9308 | 0.948464 | 0.474232 | − | 0.880400i | \(-0.342726\pi\) | ||||
0.474232 | + | 0.880400i | \(0.342726\pi\) | |||||||
\(488\) | −0.632287 | + | 1.09515i | −0.0286223 | + | 0.0495753i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 8.81675 | + | 15.2711i | 0.398300 | + | 0.689876i | ||||
\(491\) | −18.3014 | − | 31.6990i | −0.825932 | − | 1.43056i | −0.901205 | − | 0.433393i | \(-0.857316\pi\) |
0.0752731 | − | 0.997163i | \(-0.476017\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7.81363 | + | 13.5336i | −0.351908 | + | 0.609523i | ||||
\(494\) | −16.2027 | −0.728993 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.66109 | 0.0745854 | ||||||||
\(497\) | 28.7162 | − | 49.7379i | 1.28810 | − | 2.23105i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.88896 | − | 6.73588i | −0.174094 | − | 0.301540i | 0.765753 | − | 0.643134i | \(-0.222366\pi\) |
−0.939847 | + | 0.341595i | \(0.889033\pi\) | |||||||
\(500\) | 2.58161 | + | 4.47148i | 0.115453 | + | 0.199970i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −6.59804 | + | 11.4281i | −0.294485 | + | 0.510063i | ||||
\(503\) | −23.1594 | −1.03262 | −0.516312 | − | 0.856400i | \(-0.672696\pi\) | ||||
−0.516312 | + | 0.856400i | \(0.672696\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 32.8909 | 1.46363 | ||||||||
\(506\) | −2.39735 | + | 4.15233i | −0.106575 | + | 0.184594i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 3.65823 | + | 6.33623i | 0.162308 | + | 0.281125i | ||||
\(509\) | −7.41645 | − | 12.8457i | −0.328728 | − | 0.569374i | 0.653531 | − | 0.756899i | \(-0.273287\pi\) |
−0.982260 | + | 0.187525i | \(0.939953\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −10.2948 | + | 17.8312i | −0.455417 | + | 0.788805i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 9.78406 | 0.431557 | ||||||||
\(515\) | −18.8772 | + | 32.6964i | −0.831831 | + | 1.44077i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −26.6519 | − | 46.1625i | −1.17215 | − | 2.03022i | ||||
\(518\) | 17.2614 | + | 29.8975i | 0.758420 | + | 1.31362i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −8.70204 | + | 15.0724i | −0.381610 | + | 0.660967i | ||||
\(521\) | 40.8448 | 1.78944 | 0.894722 | − | 0.446623i | \(-0.147373\pi\) | ||||
0.894722 | + | 0.446623i | \(0.147373\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.80630 | 0.253892 | 0.126946 | − | 0.991910i | \(-0.459483\pi\) | ||||
0.126946 | + | 0.991910i | \(0.459483\pi\) | |||||||
\(524\) | −3.57550 | + | 6.19295i | −0.156196 | + | 0.270540i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.58904 | − | 7.94846i | −0.200092 | − | 0.346569i | ||||
\(527\) | −5.27816 | − | 9.14204i | −0.229920 | − | 0.398234i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.500000 | + | 0.866025i | −0.0217391 | + | 0.0376533i | ||||
\(530\) | 21.7816 | 0.946133 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 11.0351 | 0.478432 | ||||||||
\(533\) | −14.0961 | + | 24.4152i | −0.610571 | + | 1.05754i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 25.2584 | + | 43.7489i | 1.09202 | + | 1.89143i | ||||
\(536\) | −1.74607 | − | 3.02428i | −0.0754188 | − | 0.130629i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −9.64210 | + | 16.7006i | −0.415701 | + | 0.720014i | ||||
\(539\) | −24.9088 | −1.07290 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −34.5661 | −1.48611 | −0.743056 | − | 0.669229i | \(-0.766624\pi\) | ||||
−0.743056 | + | 0.669229i | \(0.766624\pi\) | |||||||
\(542\) | −6.25853 | + | 10.8401i | −0.268827 | + | 0.465622i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.17752 | − | 5.50362i | −0.136235 | − | 0.235966i | ||||
\(545\) | −20.3275 | − | 35.2082i | −0.870734 | − | 1.50816i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 11.0446 | − | 19.1299i | 0.472235 | − | 0.817935i | −0.527260 | − | 0.849704i | \(-0.676781\pi\) |
0.999495 | + | 0.0317690i | \(0.0101141\pi\) | |||||||
\(548\) | −6.76503 | −0.288988 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −31.2670 | −1.33323 | ||||||||
\(551\) | −3.88525 | + | 6.72945i | −0.165517 | + | 0.286684i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −11.9792 | − | 20.7486i | −0.509407 | − | 0.882319i | ||||
\(554\) | 12.5091 | + | 21.6664i | 0.531460 | + | 0.920515i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.43310 | + | 2.48220i | −0.0607768 | + | 0.105269i | ||||
\(557\) | 1.57737 | 0.0668353 | 0.0334176 | − | 0.999441i | \(-0.489361\pi\) | ||||
0.0334176 | + | 0.999441i | \(0.489361\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.97517 | 0.168132 | ||||||||
\(560\) | 5.92666 | − | 10.2653i | 0.250447 | − | 0.433787i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −2.20838 | − | 3.82502i | −0.0931547 | − | 0.161349i | ||||
\(563\) | 2.70236 | + | 4.68062i | 0.113891 | + | 0.197265i | 0.917336 | − | 0.398114i | \(-0.130335\pi\) |
−0.803445 | + | 0.595379i | \(0.797002\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 6.54546 | − | 11.3371i | 0.275370 | − | 0.476954i | ||||
\(566\) | −13.0168 | −0.547137 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −16.4462 | −0.690066 | ||||||||
\(569\) | −20.8169 | + | 36.0559i | −0.872688 | + | 1.51154i | −0.0134832 | + | 0.999909i | \(0.504292\pi\) |
−0.859205 | + | 0.511631i | \(0.829041\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −20.2459 | − | 35.0669i | −0.847264 | − | 1.46750i | −0.883641 | − | 0.468166i | \(-0.844915\pi\) |
0.0363770 | − | 0.999338i | \(-0.488418\pi\) | |||||||
\(572\) | −12.2923 | − | 21.2910i | −0.513969 | − | 0.890220i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 9.60039 | − | 16.6284i | 0.400713 | − | 0.694055i | ||||
\(575\) | −6.52115 | −0.271951 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −0.0485978 | −0.00202315 | −0.00101158 | − | 0.999999i | \(-0.500322\pi\) | ||||
−0.00101158 | + | 0.999999i | \(0.500322\pi\) | |||||||
\(578\) | −11.6933 | + | 20.2533i | −0.486375 | + | 0.842427i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4.17333 | + | 7.22842i | 0.173288 | + | 0.300144i | ||||
\(581\) | 11.5173 | + | 19.9486i | 0.477820 | + | 0.827608i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −15.3842 | + | 26.6462i | −0.637147 | + | 1.10357i | ||||
\(584\) | 5.89600 | 0.243978 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −17.3103 | −0.715083 | ||||||||
\(587\) | 4.67180 | − | 8.09180i | 0.192826 | − | 0.333984i | −0.753360 | − | 0.657609i | \(-0.771568\pi\) |
0.946186 | + | 0.323624i | \(0.104901\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.62451 | − | 4.54578i | −0.108141 | − | 0.187306i | ||||
\(590\) | −10.4554 | − | 18.1092i | −0.430441 | − | 0.745545i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 4.94291 | − | 8.56138i | 0.203152 | − | 0.351870i | ||||
\(593\) | 14.9859 | 0.615396 | 0.307698 | − | 0.951484i | \(-0.400441\pi\) | ||||
0.307698 | + | 0.951484i | \(0.400441\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −75.3283 | −3.08816 | ||||||||
\(596\) | 0.500601 | − | 0.867066i | 0.0205054 | − | 0.0355164i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.56373 | − | 4.44052i | −0.104839 | − | 0.181586i | ||||
\(599\) | −11.4562 | − | 19.8427i | −0.468088 | − | 0.810752i | 0.531247 | − | 0.847217i | \(-0.321724\pi\) |
−0.999335 | + | 0.0364650i | \(0.988390\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.34709 | + | 2.33323i | −0.0549490 | + | 0.0951745i | −0.892191 | − | 0.451657i | \(-0.850833\pi\) |
0.837242 | + | 0.546832i | \(0.184166\pi\) | |||||||
\(602\) | −2.70735 | −0.110344 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −2.62919 | −0.106980 | ||||||||
\(605\) | 20.3473 | − | 35.2426i | 0.827235 | − | 1.43281i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 20.6865 | + | 35.8301i | 0.839640 | + | 1.45430i | 0.890196 | + | 0.455577i | \(0.150567\pi\) |
−0.0505565 | + | 0.998721i | \(0.516099\pi\) | |||||||
\(608\) | −1.57999 | − | 2.73662i | −0.0640770 | − | 0.110985i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.14616 | − | 3.71726i | 0.0868955 | − | 0.150507i | ||||
\(611\) | 57.0033 | 2.30611 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −24.0528 | −0.971485 | −0.485743 | − | 0.874102i | \(-0.661451\pi\) | ||||
−0.485743 | + | 0.874102i | \(0.661451\pi\) | |||||||
\(614\) | 8.19424 | − | 14.1928i | 0.330693 | − | 0.572777i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 8.37189 | + | 14.5005i | 0.337313 | + | 0.584243i | ||||
\(617\) | 9.04957 | + | 15.6743i | 0.364322 | + | 0.631024i | 0.988667 | − | 0.150124i | \(-0.0479674\pi\) |
−0.624345 | + | 0.781149i | \(0.714634\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 5.70650 | − | 9.88394i | 0.229364 | − | 0.397269i | −0.728256 | − | 0.685305i | \(-0.759669\pi\) |
0.957620 | + | 0.288036i | \(0.0930022\pi\) | |||||||
\(620\) | −5.63822 | −0.226437 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 24.8637 | 0.996944 | ||||||||
\(623\) | 25.2982 | − | 43.8178i | 1.01355 | − | 1.75552i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 7.54017 | + | 13.0600i | 0.301607 | + | 0.522398i | ||||
\(626\) | −0.256278 | − | 0.443887i | −0.0102429 | − | 0.0177413i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 9.45290 | − | 16.3729i | 0.377212 | − | 0.653350i | ||||
\(629\) | −62.8248 | −2.50499 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.2132 | 0.406580 | 0.203290 | − | 0.979119i | \(-0.434837\pi\) | ||||
0.203290 | + | 0.979119i | \(0.434837\pi\) | |||||||
\(632\) | −3.43033 | + | 5.94150i | −0.136451 | + | 0.236340i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 6.72374 | + | 11.6459i | 0.267034 | + | 0.462516i | ||||
\(635\) | −12.4171 | − | 21.5070i | −0.492756 | − | 0.853478i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 13.3188 | − | 23.0688i | 0.527709 | − | 0.914018i | ||||
\(638\) | −11.7903 | −0.466784 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −3.39428 | −0.134171 | ||||||||
\(641\) | −23.5815 | + | 40.8443i | −0.931412 | + | 1.61325i | −0.150503 | + | 0.988610i | \(0.548089\pi\) |
−0.780910 | + | 0.624644i | \(0.785244\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 18.4669 | + | 31.9856i | 0.728264 | + | 1.26139i | 0.957616 | + | 0.288047i | \(0.0930059\pi\) |
−0.229352 | + | 0.973343i | \(0.573661\pi\) | |||||||
\(644\) | 1.74607 | + | 3.02428i | 0.0688049 | + | 0.119174i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −10.0409 | + | 17.3913i | −0.395053 | + | 0.684252i | ||||
\(647\) | −14.4649 | −0.568674 | −0.284337 | − | 0.958724i | \(-0.591774\pi\) | ||||
−0.284337 | + | 0.958724i | \(0.591774\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 29.5381 | 1.15947 | ||||||||
\(650\) | 16.7185 | − | 28.9573i | 0.655754 | − | 1.13580i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −7.83770 | − | 13.5753i | −0.306948 | − | 0.531649i | ||||
\(653\) | 0.262054 | + | 0.453890i | 0.0102550 | + | 0.0177621i | 0.871107 | − | 0.491093i | \(-0.163402\pi\) |
−0.860852 | + | 0.508855i | \(0.830069\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 12.1363 | − | 21.0206i | 0.474203 | − | 0.821343i | ||||
\(656\) | −5.49828 | −0.214672 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −38.8230 | −1.51348 | ||||||||
\(659\) | −18.3309 | + | 31.7501i | −0.714072 | + | 1.23681i | 0.249245 | + | 0.968440i | \(0.419818\pi\) |
−0.963317 | + | 0.268368i | \(0.913516\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.68530 | + | 15.0434i | 0.337819 | + | 0.585119i | 0.984022 | − | 0.178046i | \(-0.0569775\pi\) |
−0.646203 | + | 0.763165i | \(0.723644\pi\) | |||||||
\(662\) | 0.377758 | + | 0.654296i | 0.0146820 | + | 0.0254299i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 3.29807 | − | 5.71243i | 0.127990 | − | 0.221685i | ||||
\(665\) | −37.4562 | −1.45249 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.45904 | −0.0952143 | ||||||||
\(668\) | −6.30918 | + | 10.9278i | −0.244109 | + | 0.422810i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 5.92666 | + | 10.2653i | 0.228967 | + | 0.396582i | ||||
\(671\) | 3.03163 | + | 5.25093i | 0.117035 | + | 0.202710i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −20.3892 | + | 35.3152i | −0.785946 | + | 1.36130i | 0.142486 | + | 0.989797i | \(0.454491\pi\) |
−0.928432 | + | 0.371502i | \(0.878843\pi\) | |||||||
\(674\) | −7.45104 | −0.287003 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 13.2909 | 0.511190 | ||||||||
\(677\) | 1.30376 | − | 2.25817i | 0.0501075 | − | 0.0867887i | −0.839884 | − | 0.542766i | \(-0.817377\pi\) |
0.889991 | + | 0.455978i | \(0.150710\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.69063 | + | 4.66031i | 0.103257 | + | 0.178846i | ||||
\(680\) | 10.7854 | + | 18.6809i | 0.413601 | + | 0.716378i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.98223 | − | 6.89742i | 0.152487 | − | 0.264116i | ||||
\(683\) | 16.2295 | 0.621006 | 0.310503 | − | 0.950572i | \(-0.399502\pi\) | ||||
0.310503 | + | 0.950572i | \(0.399502\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 22.9624 | 0.877350 | ||||||||
\(686\) | 3.15155 | − | 5.45865i | 0.120327 | − | 0.208412i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.387635 | + | 0.671404i | 0.0147785 | + | 0.0255970i | ||||
\(689\) | −16.4519 | − | 28.4955i | −0.626767 | − | 1.08559i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.69924 | + | 16.7996i | −0.368977 | + | 0.639086i | −0.989406 | − | 0.145176i | \(-0.953625\pi\) |
0.620429 | + | 0.784262i | \(0.286958\pi\) | |||||||
\(692\) | 0.602879 | 0.0229180 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0.854101 | 0.0324212 | ||||||||
\(695\) | 4.86433 | − | 8.42528i | 0.184515 | − | 0.319589i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 17.4709 | + | 30.2605i | 0.661757 | + | 1.14620i | ||||
\(698\) | −18.2104 | − | 31.5413i | −0.689274 | − | 1.19386i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −11.3864 | + | 19.7218i | −0.430365 | + | 0.745415i | ||||
\(701\) | −27.9645 | −1.05621 | −0.528103 | − | 0.849180i | \(-0.677097\pi\) | ||||
−0.528103 | + | 0.849180i | \(0.677097\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −31.2390 | −1.17820 | ||||||||
\(704\) | 2.39735 | − | 4.15233i | 0.0903536 | − | 0.156497i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.59723 | + | 7.96264i | 0.173019 | + | 0.299678i | ||||
\(707\) | 16.9196 | + | 29.3056i | 0.636327 | + | 1.10215i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.23996 | + | 2.14768i | −0.0465678 | + | 0.0806578i | −0.888370 | − | 0.459129i | \(-0.848162\pi\) |
0.841802 | + | 0.539786i | \(0.181495\pi\) | |||||||
\(710\) | 55.8229 | 2.09500 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −14.4886 | −0.542985 | ||||||||
\(713\) | 0.830547 | − | 1.43855i | 0.0311042 | − | 0.0538741i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 41.7237 | + | 72.2675i | 1.56038 | + | 2.70265i | ||||
\(716\) | 5.07999 | + | 8.79880i | 0.189848 | + | 0.328826i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −13.5324 | + | 23.4388i | −0.505025 | + | 0.874728i | ||||
\(719\) | −15.9388 | −0.594416 | −0.297208 | − | 0.954813i | \(-0.596056\pi\) | ||||
−0.297208 | + | 0.954813i | \(0.596056\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −38.8430 | −1.44659 | ||||||||
\(722\) | 4.50728 | − | 7.80683i | 0.167743 | − | 0.290540i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 3.71083 | + | 6.42734i | 0.137912 | + | 0.238870i | ||||
\(725\) | −8.01787 | − | 13.8874i | −0.297776 | − | 0.515764i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −13.6715 | + | 23.6797i | −0.507048 | + | 0.878233i | 0.492919 | + | 0.870075i | \(0.335930\pi\) |
−0.999967 | + | 0.00815739i | \(0.997403\pi\) | |||||||
\(728\) | −17.9059 | −0.663635 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −20.0127 | −0.740703 | ||||||||
\(731\) | 2.46344 | − | 4.26680i | 0.0911135 | − | 0.157813i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 10.5709 | + | 18.3094i | 0.390446 | + | 0.676271i | 0.992508 | − | 0.122177i | \(-0.0389877\pi\) |
−0.602063 | + | 0.798449i | \(0.705654\pi\) | |||||||
\(734\) | 17.8506 | + | 30.9181i | 0.658877 | + | 1.14121i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.500000 | − | 0.866025i | 0.0184302 | − | 0.0319221i | ||||
\(737\) | −16.7438 | −0.616765 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −4.66746 | −0.171695 | −0.0858476 | − | 0.996308i | \(-0.527360\pi\) | ||||
−0.0858476 | + | 0.996308i | \(0.527360\pi\) | |||||||
\(740\) | −16.7776 | + | 29.0597i | −0.616758 | + | 1.06826i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 11.2048 | + | 19.4073i | 0.411341 | + | 0.712464i | ||||
\(743\) | 2.59731 | + | 4.49867i | 0.0952861 | + | 0.165040i | 0.909728 | − | 0.415205i | \(-0.136290\pi\) |
−0.814442 | + | 0.580245i | \(0.802957\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.69918 | + | 2.94307i | −0.0622531 | + | 0.107826i | ||||
\(746\) | 31.4899 | 1.15293 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −30.4705 | −1.11411 | ||||||||
\(749\) | −25.9867 | + | 45.0102i | −0.949532 | + | 1.64464i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 12.9794 | + | 22.4810i | 0.473625 | + | 0.820342i | 0.999544 | − | 0.0301925i | \(-0.00961203\pi\) |
−0.525920 | + | 0.850534i | \(0.676279\pi\) | |||||||
\(752\) | 5.55862 | + | 9.62781i | 0.202702 | + | 0.351090i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 6.30432 | − | 10.9194i | 0.229590 | − | 0.397661i | ||||
\(755\) | 8.92421 | 0.324785 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −11.6767 | −0.424397 | −0.212198 | − | 0.977227i | \(-0.568062\pi\) | ||||
−0.212198 | + | 0.977227i | \(0.568062\pi\) | |||||||
\(758\) | 4.73177 | − | 8.19566i | 0.171866 | − | 0.297680i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 5.36292 | + | 9.28886i | 0.194534 | + | 0.336942i | ||||
\(761\) | 11.5862 | + | 20.0679i | 0.420000 | + | 0.727461i | 0.995939 | − | 0.0900318i | \(-0.0286969\pi\) |
−0.575939 | + | 0.817492i | \(0.695364\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 20.9136 | − | 36.2233i | 0.757121 | − | 1.31137i | ||||
\(764\) | −4.31361 | −0.156061 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 22.0119 | 0.795323 | ||||||||
\(767\) | −15.7941 | + | 27.3562i | −0.570291 | + | 0.987774i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −15.4780 | − | 26.8086i | −0.558150 | − | 0.966744i | −0.997651 | − | 0.0685023i | \(-0.978178\pi\) |
0.439501 | − | 0.898242i | \(-0.355155\pi\) | |||||||
\(770\) | −28.4166 | − | 49.2189i | −1.02406 | − | 1.77373i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.86487 | + | 6.69416i | −0.139100 | + | 0.240928i | ||||
\(773\) | 35.6701 | 1.28296 | 0.641482 | − | 0.767138i | \(-0.278320\pi\) | ||||
0.641482 | + | 0.767138i | \(0.278320\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 10.8322 | 0.389106 | ||||||||
\(776\) | 0.770482 | − | 1.33451i | 0.0276587 | − | 0.0479063i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 8.50635 | + | 14.7334i | 0.304967 | + | 0.528219i | ||||
\(779\) | 8.68722 | + | 15.0467i | 0.311252 | + | 0.539104i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −39.4272 | + | 68.2899i | −1.41082 | + | 2.44361i | ||||
\(782\) | −6.35504 | −0.227256 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 5.19506 | 0.185538 | ||||||||
\(785\) | −32.0858 | + | 55.5742i | −1.14519 | + | 1.98353i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 18.5980 | + | 32.2127i | 0.662947 | + | 1.14826i | 0.979838 | + | 0.199796i | \(0.0640279\pi\) |
−0.316890 | + | 0.948462i | \(0.602639\pi\) | |||||||
\(788\) | −9.73340 | − | 16.8587i | −0.346738 | − | 0.600568i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 11.6435 | − | 20.1671i | 0.414257 | − | 0.717515i | ||||
\(791\) | 13.4683 | 0.478879 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −6.48407 | −0.230256 | ||||||||
\(794\) | −7.22787 | + | 12.5190i | −0.256507 | + | 0.444284i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.330748 | − | 0.572872i | −0.0117230 | − | 0.0203049i | ||||
\(797\) | −11.0075 | − | 19.0656i | −0.389907 | − | 0.675339i | 0.602529 | − | 0.798097i | \(-0.294160\pi\) |
−0.992437 | + | 0.122757i | \(0.960826\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 35.3252 | − | 61.1851i | 1.24972 | − | 2.16457i | ||||
\(800\) | 6.52115 | 0.230558 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0.680268 | 0.0240211 | ||||||||
\(803\) | 14.1348 | − | 24.4822i | 0.498806 | − | 0.863957i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.92666 | − | 10.2653i | −0.208887 | − | 0.361803i | ||||
\(806\) | 4.25861 | + | 7.37612i | 0.150003 | + | 0.259813i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 4.84505 | − | 8.39188i | 0.170448 | − | 0.295225i | ||||
\(809\) | 32.3565 | 1.13759 | 0.568797 | − | 0.822478i | \(-0.307409\pi\) | ||||
0.568797 | + | 0.822478i | \(0.307409\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −53.8736 | −1.89176 | −0.945879 | − | 0.324520i | \(-0.894797\pi\) | ||||
−0.945879 | + | 0.324520i | \(0.894797\pi\) | |||||||
\(812\) | −4.29365 | + | 7.43682i | −0.150678 | + | 0.260981i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −23.6998 | − | 41.0492i | −0.830677 | − | 1.43878i | ||||
\(815\) | 26.6033 | + | 46.0784i | 0.931875 | + | 1.61405i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.22492 | − | 2.12162i | 0.0428544 | − | 0.0742261i | ||||
\(818\) | −17.1440 | −0.599427 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 18.6627 | 0.651730 | ||||||||
\(821\) | 17.6853 | − | 30.6319i | 0.617222 | − | 1.06906i | −0.372768 | − | 0.927924i | \(-0.621591\pi\) |
0.989990 | − | 0.141135i | \(-0.0450753\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −11.6367 | − | 20.1554i | −0.405630 | − | 0.702572i | 0.588765 | − | 0.808305i | \(-0.299615\pi\) |
−0.994395 | + | 0.105733i | \(0.966281\pi\) | |||||||
\(824\) | 5.56148 | + | 9.63277i | 0.193744 | + | 0.335574i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 10.7568 | − | 18.6313i | 0.374277 | − | 0.648267i | ||||
\(827\) | −8.57319 | −0.298119 | −0.149060 | − | 0.988828i | \(-0.547625\pi\) | ||||
−0.149060 | + | 0.988828i | \(0.547625\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 31.4933 | 1.09381 | 0.546903 | − | 0.837196i | \(-0.315806\pi\) | ||||
0.546903 | + | 0.837196i | \(0.315806\pi\) | |||||||
\(830\) | −11.1946 | + | 19.3896i | −0.388570 | + | 0.673022i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.56373 | + | 4.44052i | 0.0888815 | + | 0.153947i | ||||
\(833\) | −16.5074 | − | 28.5917i | −0.571948 | − | 0.990643i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 21.4151 | − | 37.0921i | 0.741101 | − | 1.28362i | ||||
\(836\) | −15.1511 | −0.524013 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −10.5994 | −0.366150 | ||||||||
\(839\) | 3.74560 | − | 6.48757i | 0.129312 | − | 0.223976i | −0.794098 | − | 0.607790i | \(-0.792056\pi\) |
0.923410 | + | 0.383814i | \(0.125390\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.4766 | + | 19.8780i | 0.395744 | + | 0.685448i | ||||
\(842\) | 3.80320 | + | 6.58733i | 0.131067 | + | 0.227014i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −6.05925 | + | 10.4949i | −0.208568 | + | 0.361250i | ||||
\(845\) | −45.1132 | −1.55194 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 41.8679 | 1.43860 | ||||||||
\(848\) | 3.20858 | − | 5.55742i | 0.110183 | − | 0.190842i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −20.7211 | − | 35.8900i | −0.710727 | − | 1.23102i | ||||
\(851\) | −4.94291 | − | 8.56138i | −0.169441 | − | 0.293480i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 11.2986 | − | 19.5698i | 0.386858 | − | 0.670058i | −0.605167 | − | 0.796099i | \(-0.706894\pi\) |
0.992025 | + | 0.126041i | \(0.0402270\pi\) | |||||||
\(854\) | 4.41607 | 0.151115 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 14.8829 | 0.508688 | ||||||||
\(857\) | −18.2605 | + | 31.6281i | −0.623766 | + | 1.08039i | 0.365012 | + | 0.931003i | \(0.381065\pi\) |
−0.988778 | + | 0.149392i | \(0.952268\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 0.936765 | + | 1.62252i | 0.0319620 | + | 0.0553598i | 0.881564 | − | 0.472065i | \(-0.156491\pi\) |
−0.849602 | + | 0.527424i | \(0.823158\pi\) | |||||||
\(860\) | −1.31574 | − | 2.27893i | −0.0448665 | − | 0.0777110i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −16.5416 | + | 28.6509i | −0.563409 | + | 0.975852i | ||||
\(863\) | 25.6962 | 0.874710 | 0.437355 | − | 0.899289i | \(-0.355915\pi\) | ||||
0.437355 | + | 0.899289i | \(0.355915\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −2.04634 | −0.0695777 | ||||||||
\(866\) | −15.3048 | + | 26.5087i | −0.520079 | + | 0.900803i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −2.90039 | − | 5.02362i | −0.0984457 | − | 0.170513i | ||||
\(869\) | 16.4474 | + | 28.4877i | 0.557940 | + | 0.966380i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 8.95293 | − | 15.5069i | 0.303358 | − | 0.525432i | ||||
\(872\) | −11.9775 | −0.405609 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −3.15998 | −0.106888 | ||||||||
\(875\) | 9.01534 | − | 15.6150i | 0.304774 | − | 0.527884i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −15.2805 | − | 26.4666i | −0.515985 | − | 0.893713i | −0.999828 | − | 0.0185578i | \(-0.994093\pi\) |
0.483842 | − | 0.875155i | \(-0.339241\pi\) | |||||||
\(878\) | −2.23860 | − | 3.87738i | −0.0755492 | − | 0.130855i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −8.13728 | + | 14.0942i | −0.274308 | + | 0.475115i | ||||
\(881\) | 10.3977 | 0.350309 | 0.175154 | − | 0.984541i | \(-0.443958\pi\) | ||||
0.175154 | + | 0.984541i | \(0.443958\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 11.5454 | 0.388535 | 0.194267 | − | 0.980949i | \(-0.437767\pi\) | ||||
0.194267 | + | 0.980949i | \(0.437767\pi\) | |||||||
\(884\) | 16.2926 | − | 28.2197i | 0.547980 | − | 0.949130i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −6.69807 | − | 11.6014i | −0.225026 | − | 0.389757i | ||||
\(887\) | 2.86979 | + | 4.97062i | 0.0963581 | + | 0.166897i | 0.910175 | − | 0.414225i | \(-0.135947\pi\) |
−0.813817 | + | 0.581122i | \(0.802614\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 12.7751 | − | 22.1270i | 0.428461 | − | 0.742117i | ||||
\(890\) | 49.1785 | 1.64847 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 19.1955 | 0.642712 | ||||||||
\(893\) | 17.5651 | − | 30.4236i | 0.587793 | − | 1.01809i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −17.2429 | − | 29.8656i | −0.576367 | − | 0.998297i | ||||
\(896\) | −1.74607 | − | 3.02428i | −0.0583322 | − | 0.101034i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 3.53535 | − | 6.12341i | 0.117976 | − | 0.204341i | ||||
\(899\) | 4.08469 | 0.136232 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −40.7812 | −1.35862 | ||||||||
\(902\) | −13.1813 | + | 22.8307i | −0.438890 | + | 0.760179i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.92838 | − | 3.34005i | −0.0641369 | − | 0.111088i | ||||
\(905\) | −12.5956 | − | 21.8162i | −0.418692 | − | 0.725195i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.37140 | + | 2.37533i | −0.0455366 | + | 0.0788717i | −0.887895 | − | 0.460046i | \(-0.847833\pi\) |
0.842359 | + | 0.538917i | \(0.181166\pi\) | |||||||
\(908\) | −15.5775 | −0.516958 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 60.7775 | 2.01476 | ||||||||
\(911\) | 23.1894 | − | 40.1653i | 0.768301 | − | 1.33074i | −0.170183 | − | 0.985412i | \(-0.554436\pi\) |
0.938484 | − | 0.345323i | \(-0.112231\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −15.8133 | − | 27.3894i | −0.523343 | − | 0.906456i | ||||
\(914\) | −0.00878737 | − | 0.0152202i | −0.000290660 | − | 0.000503438i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 5.29223 | − | 9.16642i | 0.174860 | − | 0.302867i | ||||
\(917\) | 24.9723 | 0.824658 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 3.46521 | 0.114307 | 0.0571534 | − | 0.998365i | \(-0.481798\pi\) | ||||
0.0571534 | + | 0.998365i | \(0.481798\pi\) | |||||||
\(920\) | −1.69714 | + | 2.93953i | −0.0559531 | + | 0.0969136i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −15.6892 | − | 27.1745i | −0.516696 | − | 0.894944i | ||||
\(923\) | −42.1636 | − | 73.0295i | −1.38783 | − | 2.40379i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 32.2335 | − | 55.8300i | 1.05983 | − | 1.83568i | ||||
\(926\) | −4.24714 | −0.139570 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 2.45904 | 0.0807218 | ||||||||
\(929\) | 2.97858 | − | 5.15905i | 0.0977240 | − | 0.169263i | −0.813018 | − | 0.582238i | \(-0.802177\pi\) |
0.910742 | + | 0.412975i | \(0.135510\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −8.20814 | − | 14.2169i | −0.269011 | − | 0.465940i | ||||
\(932\) | 5.12383 | + | 8.87473i | 0.167837 | + | 0.290702i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 15.4896 | − | 26.8287i | 0.506835 | − | 0.877863i | ||||
\(935\) | 103.426 | 3.38238 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 24.1914 | 0.790299 | 0.395149 | − | 0.918617i | \(-0.370693\pi\) | ||||
0.395149 | + | 0.918617i | \(0.370693\pi\) | |||||||
\(938\) | −6.09753 | + | 10.5612i | −0.199091 | + | 0.344837i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −18.8675 | − | 32.6795i | −0.615390 | − | 1.06589i | ||||
\(941\) | 2.91264 | + | 5.04485i | 0.0949495 | + | 0.164457i | 0.909588 | − | 0.415512i | \(-0.136398\pi\) |
−0.814638 | + | 0.579970i | \(0.803064\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.74914 | + | 4.76165i | −0.0895243 | + | 0.155061i | ||||
\(944\) | −6.16058 | −0.200510 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 3.71719 | 0.120856 | ||||||||
\(947\) | −1.38014 | + | 2.39047i | −0.0448485 | + | 0.0776799i | −0.887578 | − | 0.460657i | \(-0.847614\pi\) |
0.842730 | + | 0.538337i | \(0.180947\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 15.1158 | + | 26.1813i | 0.490679 | + | 0.849881i | ||||
\(950\) | −10.3033 | − | 17.8459i | −0.334284 | − | 0.578998i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −11.0964 | + | 19.2194i | −0.359635 | + | 0.622906i | ||||
\(953\) | −14.0362 | −0.454679 | −0.227339 | − | 0.973816i | \(-0.573003\pi\) | ||||
−0.227339 | + | 0.973816i | \(0.573003\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 14.6416 | 0.473792 | ||||||||
\(956\) | 6.67263 | − | 11.5573i | 0.215808 | − | 0.373791i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 13.9406 | + | 24.1459i | 0.450401 | + | 0.780117i | ||||
\(959\) | 11.8122 | + | 20.4594i | 0.381437 | + | 0.660668i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 14.1204 | − | 24.4572i | 0.455496 | − | 0.788943i | ||||
\(962\) | 50.6893 | 1.63429 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −30.0129 | −0.966651 | ||||||||
\(965\) | 13.1185 | − | 22.7219i | 0.422299 | − | 0.731443i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1.97836 | + | 3.42662i | 0.0636197 | + | 0.110193i | 0.896081 | − | 0.443891i | \(-0.146402\pi\) |
−0.832461 | + | 0.554083i | \(0.813069\pi\) | |||||||
\(968\) | −5.99458 | − | 10.3829i | −0.192673 | − | 0.333720i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2.61523 | + | 4.52972i | −0.0839701 | + | 0.145440i | ||||
\(971\) | −15.3862 | −0.493767 | −0.246884 | − | 0.969045i | \(-0.579407\pi\) | ||||
−0.246884 | + | 0.969045i | \(0.579407\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 10.0092 | 0.320879 | ||||||||
\(974\) | −10.4654 | + | 18.1266i | −0.335332 | + | 0.580813i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.632287 | − | 1.09515i | −0.0202390 | − | 0.0350550i | ||||
\(977\) | −13.0757 | − | 22.6477i | −0.418327 | − | 0.724564i | 0.577444 | − | 0.816430i | \(-0.304050\pi\) |
−0.995771 | + | 0.0918663i | \(0.970717\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −34.7344 | + | 60.1617i | −1.11012 | + | 1.92278i | ||||
\(980\) | −17.6335 | −0.563282 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 36.6029 | 1.16804 | ||||||||
\(983\) | 23.6315 | − | 40.9310i | 0.753728 | − | 1.30550i | −0.192276 | − | 0.981341i | \(-0.561587\pi\) |
0.946004 | − | 0.324155i | \(-0.105080\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 33.0379 | + | 57.2233i | 1.05267 | + | 1.82329i | ||||
\(986\) | −7.81363 | − | 13.5336i | −0.248837 | − | 0.430998i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 8.10134 | − | 14.0319i | 0.257738 | − | 0.446415i | ||||
\(989\) | 0.775270 | 0.0246522 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.89228 | −0.0918763 | −0.0459382 | − | 0.998944i | \(-0.514628\pi\) | ||||
−0.0459382 | + | 0.998944i | \(0.514628\pi\) | |||||||
\(992\) | −0.830547 | + | 1.43855i | −0.0263699 | + | 0.0456740i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 28.7162 | + | 49.7379i | 0.910822 | + | 1.57759i | ||||
\(995\) | 1.12265 | + | 1.94449i | 0.0355905 | + | 0.0616445i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −16.0958 | + | 27.8787i | −0.509758 | + | 0.882927i | 0.490178 | + | 0.871622i | \(0.336932\pi\) |
−0.999936 | + | 0.0113048i | \(0.996402\pi\) | |||||||
\(998\) | 7.77793 | 0.246206 | ||||||||
\(999\) | 0 | 0 |
(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 | 1242.2.e.b.829.5 | 10 | ||
3.2 | odd | 2 | 414.2.e.d.277.4 | yes | 10 | ||
9.2 | odd | 6 | 3726.2.a.r.1.5 | 5 | |||
9.4 | even | 3 | inner | 1242.2.e.b.415.5 | 10 | ||
9.5 | odd | 6 | 414.2.e.d.139.4 | ✓ | 10 | ||
9.7 | even | 3 | 3726.2.a.u.1.1 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
414.2.e.d.139.4 | ✓ | 10 | 9.5 | odd | 6 | ||
414.2.e.d.277.4 | yes | 10 | 3.2 | odd | 2 | ||
1242.2.e.b.415.5 | 10 | 9.4 | even | 3 | inner | ||
1242.2.e.b.829.5 | 10 | 1.1 | even | 1 | trivial | ||
3726.2.a.r.1.5 | 5 | 9.2 | odd | 6 | |||
3726.2.a.u.1.1 | 5 | 9.7 | even | 3 |