Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(253,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.253");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | 8.0.72339481600.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{6} - 2x^{4} - 4x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{3} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 253.6 | ||
Root | \(0.569745 + 1.29437i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 504.253 |
Dual form | 504.2.c.e.253.5 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.569745 | + | 1.29437i | 0.402871 | + | 0.915257i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.35078 | + | 1.47492i | −0.675391 | + | 0.737460i | ||||
\(5\) | − | 0.772577i | − | 0.345507i | −0.984965 | − | 0.172754i | \(-0.944734\pi\) | ||
0.984965 | − | 0.172754i | \(-0.0552664\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.00000 | −0.377964 | ||||||||
\(8\) | −2.67869 | − | 0.908080i | −0.947061 | − | 0.321055i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.00000 | − | 0.440172i | 0.316228 | − | 0.139195i | ||||
\(11\) | 4.40490i | 1.32813i | 0.747676 | + | 0.664063i | \(0.231169\pi\) | ||||
−0.747676 | + | 0.664063i | \(0.768831\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.89968i | 1.63628i | 0.575021 | + | 0.818139i | \(0.304994\pi\) | ||||
−0.575021 | + | 0.818139i | \(0.695006\pi\) | |||||||
\(14\) | −0.569745 | − | 1.29437i | −0.152271 | − | 0.345935i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.350781 | − | 3.98459i | −0.0876953 | − | 0.996147i | ||||
\(17\) | −4.21789 | −1.02299 | −0.511495 | − | 0.859286i | \(-0.670908\pi\) | ||||
−0.511495 | + | 0.859286i | \(0.670908\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.01934i | 1.15152i | 0.817620 | + | 0.575758i | \(0.195293\pi\) | ||||
−0.817620 | + | 0.575758i | \(0.804707\pi\) | |||||||
\(20\) | 1.13949 | + | 1.04358i | 0.254798 | + | 0.233352i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −5.70156 | + | 2.50967i | −1.21558 | + | 0.535063i | ||||
\(23\) | −8.77585 | −1.82989 | −0.914946 | − | 0.403576i | \(-0.867767\pi\) | ||||
−0.914946 | + | 0.403576i | \(0.867767\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.40312 | 0.880625 | ||||||||
\(26\) | −7.63636 | + | 3.36131i | −1.49761 | + | 0.659208i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.35078 | − | 1.47492i | 0.255274 | − | 0.278734i | ||||
\(29\) | − | 3.63232i | − | 0.674505i | −0.941414 | − | 0.337252i | \(-0.890502\pi\) | ||
0.941414 | − | 0.337252i | \(-0.109498\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.40312 | 1.32964 | 0.664820 | − | 0.747003i | \(-0.268508\pi\) | ||||
0.664820 | + | 0.747003i | \(0.268508\pi\) | |||||||
\(32\) | 4.95767 | − | 2.72424i | 0.876401 | − | 0.481582i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.40312 | − | 5.45951i | −0.412132 | − | 0.936298i | ||||
\(35\) | 0.772577i | 0.130589i | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 5.01934i | − | 0.825174i | −0.910918 | − | 0.412587i | \(-0.864625\pi\) | ||
0.910918 | − | 0.412587i | \(-0.135375\pi\) | |||||||
\(38\) | −6.49687 | + | 2.85974i | −1.05393 | + | 0.463912i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.701562 | + | 2.06950i | −0.110927 | + | 0.327216i | ||||
\(41\) | 8.77585 | 1.37056 | 0.685279 | − | 0.728281i | \(-0.259680\pi\) | ||||
0.685279 | + | 0.728281i | \(0.259680\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.880344i | 0.134251i | 0.997745 | + | 0.0671256i | \(0.0213828\pi\) | ||||
−0.997745 | + | 0.0671256i | \(0.978617\pi\) | |||||||
\(44\) | −6.49687 | − | 5.95005i | −0.979441 | − | 0.897004i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.00000 | − | 11.3592i | −0.737210 | − | 1.67482i | ||||
\(47\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | 2.50866 | + | 5.69927i | 0.354778 | + | 0.805998i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −8.70156 | − | 7.96918i | −1.20669 | − | 1.10513i | ||||
\(53\) | − | 6.72263i | − | 0.923424i | −0.887030 | − | 0.461712i | \(-0.847235\pi\) | ||
0.887030 | − | 0.461712i | \(-0.152765\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.40312 | 0.458877 | ||||||||
\(56\) | 2.67869 | + | 0.908080i | 0.357955 | + | 0.121347i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.70156 | − | 2.06950i | 0.617345 | − | 0.271738i | ||||
\(59\) | 10.3550i | 1.34810i | 0.738686 | + | 0.674050i | \(0.235447\pi\) | ||||
−0.738686 | + | 0.674050i | \(0.764553\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.89968i | 0.755377i | 0.925933 | + | 0.377688i | \(0.123281\pi\) | ||||
−0.925933 | + | 0.377688i | \(0.876719\pi\) | |||||||
\(62\) | 4.21789 | + | 9.58237i | 0.535673 | + | 1.21696i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.35078 | + | 4.86493i | 0.793848 | + | 0.608117i | ||||
\(65\) | 4.55796 | 0.565345 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.880344i | 0.107551i | 0.998553 | + | 0.0537756i | \(0.0171256\pi\) | ||||
−0.998553 | + | 0.0537756i | \(0.982874\pi\) | |||||||
\(68\) | 5.69745 | − | 6.22106i | 0.690917 | − | 0.754414i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.00000 | + | 0.440172i | −0.119523 | + | 0.0526106i | ||||
\(71\) | 4.21789 | 0.500572 | 0.250286 | − | 0.968172i | \(-0.419475\pi\) | ||||
0.250286 | + | 0.968172i | \(0.419475\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.00000 | −0.702247 | −0.351123 | − | 0.936329i | \(-0.614200\pi\) | ||||
−0.351123 | + | 0.936329i | \(0.614200\pi\) | |||||||
\(74\) | 6.49687 | − | 2.85974i | 0.755246 | − | 0.332438i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −7.40312 | − | 6.78003i | −0.849197 | − | 0.777722i | ||||
\(77\) | − | 4.40490i | − | 0.501985i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(80\) | −3.07840 | + | 0.271006i | −0.344176 | + | 0.0302993i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 5.00000 | + | 11.3592i | 0.552158 | + | 1.25441i | ||||
\(83\) | 1.54515i | 0.169603i | 0.996398 | + | 0.0848014i | \(0.0270256\pi\) | ||||
−0.996398 | + | 0.0848014i | \(0.972974\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.25865i | 0.353450i | ||||||||
\(86\) | −1.13949 | + | 0.501572i | −0.122874 | + | 0.0540859i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.00000 | − | 11.7994i | 0.426401 | − | 1.25782i | ||||
\(89\) | −8.77585 | −0.930239 | −0.465119 | − | 0.885248i | \(-0.653989\pi\) | ||||
−0.465119 | + | 0.885248i | \(0.653989\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − | 5.89968i | − | 0.618455i | ||||||
\(92\) | 11.8543 | − | 12.9437i | 1.23589 | − | 1.34947i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 3.87783 | 0.397857 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 16.8062 | 1.70642 | 0.853208 | − | 0.521571i | \(-0.174654\pi\) | ||||
0.853208 | + | 0.521571i | \(0.174654\pi\) | |||||||
\(98\) | 0.569745 | + | 1.29437i | 0.0575529 | + | 0.130751i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −5.94766 | + | 6.49426i | −0.594766 | + | 0.649426i | ||||
\(101\) | − | 11.1275i | − | 1.10723i | −0.832773 | − | 0.553615i | \(-0.813248\pi\) | ||
0.832773 | − | 0.553615i | \(-0.186752\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.40312 | −0.335320 | −0.167660 | − | 0.985845i | \(-0.553621\pi\) | ||||
−0.167660 | + | 0.985845i | \(0.553621\pi\) | |||||||
\(104\) | 5.35738 | − | 15.8034i | 0.525335 | − | 1.54965i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 8.70156 | − | 3.83019i | 0.845170 | − | 0.372020i | ||||
\(107\) | 13.2147i | 1.27751i | 0.769409 | + | 0.638756i | \(0.220551\pi\) | ||||
−0.769409 | + | 0.638756i | \(0.779449\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(110\) | 1.93891 | + | 4.40490i | 0.184868 | + | 0.419991i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.350781 | + | 3.98459i | 0.0331457 | + | 0.376508i | ||||
\(113\) | 12.9937 | 1.22235 | 0.611175 | − | 0.791496i | \(-0.290697\pi\) | ||||
0.611175 | + | 0.791496i | \(0.290697\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.78003i | 0.632241i | ||||||||
\(116\) | 5.35738 | + | 4.90647i | 0.497421 | + | 0.455554i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −13.4031 | + | 5.89968i | −1.23386 | + | 0.543110i | ||||
\(119\) | 4.21789 | 0.386654 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.40312 | −0.763920 | ||||||||
\(122\) | −7.63636 | + | 3.36131i | −0.691364 | + | 0.304319i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −10.0000 | + | 10.9190i | −0.898027 | + | 0.980557i | ||||
\(125\) | − | 7.26464i | − | 0.649769i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.80625 | −0.603957 | −0.301978 | − | 0.953315i | \(-0.597647\pi\) | ||||
−0.301978 | + | 0.953315i | \(0.597647\pi\) | |||||||
\(128\) | −2.67869 | + | 10.9920i | −0.236765 | + | 0.971567i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.59688 | + | 5.89968i | 0.227761 | + | 0.517436i | ||||
\(131\) | − | 1.54515i | − | 0.135001i | −0.997719 | − | 0.0675004i | \(-0.978498\pi\) | ||
0.997719 | − | 0.0675004i | \(-0.0215024\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 5.01934i | − | 0.435232i | ||||||
\(134\) | −1.13949 | + | 0.501572i | −0.0984370 | + | 0.0433292i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 11.2984 | + | 3.83019i | 0.968833 | + | 0.328436i | ||||
\(137\) | 17.5517 | 1.49954 | 0.749772 | − | 0.661696i | \(-0.230163\pi\) | ||||
0.749772 | + | 0.661696i | \(0.230163\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 21.8380i | 1.85228i | 0.377182 | + | 0.926139i | \(0.376893\pi\) | ||||
−0.377182 | + | 0.926139i | \(0.623107\pi\) | |||||||
\(140\) | −1.13949 | − | 1.04358i | −0.0963045 | − | 0.0881988i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.40312 | + | 5.45951i | 0.201666 | + | 0.458152i | ||||
\(143\) | −25.9875 | −2.17318 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.80625 | −0.233046 | ||||||||
\(146\) | −3.41847 | − | 7.76621i | −0.282915 | − | 0.642736i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 7.40312 | + | 6.78003i | 0.608533 | + | 0.557315i | ||||
\(149\) | − | 17.0776i | − | 1.39905i | −0.714608 | − | 0.699525i | \(-0.753395\pi\) | ||
0.714608 | − | 0.699525i | \(-0.246605\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.80625 | 0.553885 | 0.276942 | − | 0.960887i | \(-0.410679\pi\) | ||||
0.276942 | + | 0.960887i | \(0.410679\pi\) | |||||||
\(152\) | 4.55796 | − | 13.4453i | 0.369699 | − | 1.09055i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 5.70156 | − | 2.50967i | 0.459445 | − | 0.202235i | ||||
\(155\) | − | 5.71949i | − | 0.459400i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 5.89968i | − | 0.470846i | −0.971893 | − | 0.235423i | \(-0.924352\pi\) | ||
0.971893 | − | 0.235423i | \(-0.0756475\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.10469 | − | 3.83019i | −0.166390 | − | 0.302803i | ||||
\(161\) | 8.77585 | 0.691634 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 24.4791i | − | 1.91735i | −0.284505 | − | 0.958674i | \(-0.591829\pi\) | ||
0.284505 | − | 0.958674i | \(-0.408171\pi\) | |||||||
\(164\) | −11.8543 | + | 12.9437i | −0.925662 | + | 1.01073i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.00000 | + | 0.880344i | −0.155230 | + | 0.0683280i | ||||
\(167\) | 8.43579 | 0.652781 | 0.326390 | − | 0.945235i | \(-0.394168\pi\) | ||||
0.326390 | + | 0.945235i | \(0.394168\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −21.8062 | −1.67740 | ||||||||
\(170\) | −4.21789 | + | 1.85660i | −0.323498 | + | 0.142395i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.29844 | − | 1.18915i | −0.0990050 | − | 0.0906720i | ||||
\(173\) | 21.4825i | 1.63328i | 0.577146 | + | 0.816641i | \(0.304167\pi\) | ||||
−0.577146 | + | 0.816641i | \(0.695833\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.40312 | −0.332845 | ||||||||
\(176\) | 17.5517 | − | 1.54515i | 1.32301 | − | 0.116470i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −5.00000 | − | 11.3592i | −0.374766 | − | 0.851407i | ||||
\(179\) | 7.49521i | 0.560218i | 0.959968 | + | 0.280109i | \(0.0903706\pi\) | ||||
−0.959968 | + | 0.280109i | \(0.909629\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.66037i | 0.569391i | 0.958618 | + | 0.284695i | \(0.0918925\pi\) | ||||
−0.958618 | + | 0.284695i | \(0.908108\pi\) | |||||||
\(182\) | 7.63636 | − | 3.36131i | 0.566045 | − | 0.249157i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 23.5078 | + | 7.96918i | 1.73302 | + | 0.587496i | ||||
\(185\) | −3.87783 | −0.285103 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 18.5794i | − | 1.35866i | ||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.20937 | + | 5.01934i | 0.160285 | + | 0.364141i | ||||
\(191\) | 4.21789 | 0.305196 | 0.152598 | − | 0.988288i | \(-0.451236\pi\) | ||||
0.152598 | + | 0.988288i | \(0.451236\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.40312 | −0.100999 | −0.0504995 | − | 0.998724i | \(-0.516081\pi\) | ||||
−0.0504995 | + | 0.998724i | \(0.516081\pi\) | |||||||
\(194\) | 9.57528 | + | 21.7535i | 0.687465 | + | 1.56181i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.35078 | + | 1.47492i | −0.0964844 | + | 0.105351i | ||||
\(197\) | 12.4421i | 0.886464i | 0.896407 | + | 0.443232i | \(0.146168\pi\) | ||||
−0.896407 | + | 0.443232i | \(0.853832\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.8062 | −0.766035 | −0.383017 | − | 0.923741i | \(-0.625115\pi\) | ||||
−0.383017 | + | 0.923741i | \(0.625115\pi\) | |||||||
\(200\) | −11.7946 | − | 3.99839i | −0.834005 | − | 0.282729i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 14.4031 | − | 6.33985i | 1.01340 | − | 0.446071i | ||||
\(203\) | 3.63232i | 0.254939i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | − | 6.78003i | − | 0.473538i | ||||||
\(206\) | −1.93891 | − | 4.40490i | −0.135090 | − | 0.306904i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 23.5078 | − | 2.06950i | 1.62997 | − | 0.143494i | ||||
\(209\) | −22.1097 | −1.52936 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 10.9190i | − | 0.751696i | −0.926681 | − | 0.375848i | \(-0.877351\pi\) | ||
0.926681 | − | 0.375848i | \(-0.122649\pi\) | |||||||
\(212\) | 9.91534 | + | 9.08080i | 0.680989 | + | 0.623672i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −17.1047 | + | 7.52901i | −1.16925 | + | 0.514672i | ||||
\(215\) | 0.680134 | 0.0463848 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −7.40312 | −0.502557 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −4.59688 | + | 5.01934i | −0.309921 | + | 0.338404i | ||||
\(221\) | − | 24.8842i | − | 1.67389i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 10.8062 | 0.723640 | 0.361820 | − | 0.932248i | \(-0.382156\pi\) | ||||
0.361820 | + | 0.932248i | \(0.382156\pi\) | |||||||
\(224\) | −4.95767 | + | 2.72424i | −0.331248 | + | 0.182021i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 7.40312 | + | 16.8187i | 0.492448 | + | 1.11876i | ||||
\(227\) | 5.71949i | 0.379616i | 0.981821 | + | 0.189808i | \(0.0607865\pi\) | ||||
−0.981821 | + | 0.189808i | \(0.939214\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 15.9384i | − | 1.05324i | −0.850102 | − | 0.526618i | \(-0.823460\pi\) | ||
0.850102 | − | 0.526618i | \(-0.176540\pi\) | |||||||
\(230\) | −8.77585 | + | 3.86289i | −0.578663 | + | 0.254711i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.29844 | + | 9.72987i | −0.216553 | + | 0.638797i | ||||
\(233\) | −21.4295 | −1.40390 | −0.701948 | − | 0.712228i | \(-0.747686\pi\) | ||||
−0.701948 | + | 0.712228i | \(0.747686\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −15.2727 | − | 13.9873i | −0.994170 | − | 0.910494i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.40312 | + | 5.45951i | 0.155771 | + | 0.353887i | ||||
\(239\) | 13.3338 | 0.862493 | 0.431246 | − | 0.902234i | \(-0.358074\pi\) | ||||
0.431246 | + | 0.902234i | \(0.358074\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 24.8062 | 1.59791 | 0.798955 | − | 0.601390i | \(-0.205386\pi\) | ||||
0.798955 | + | 0.601390i | \(0.205386\pi\) | |||||||
\(242\) | −4.78764 | − | 10.8767i | −0.307761 | − | 0.699183i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −8.70156 | − | 7.96918i | −0.557060 | − | 0.510174i | ||||
\(245\) | − | 0.772577i | − | 0.0493582i | ||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −29.6125 | −1.88420 | ||||||||
\(248\) | −19.8307 | − | 6.72263i | −1.25925 | − | 0.426887i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.40312 | − | 4.13899i | 0.594706 | − | 0.261773i | ||||
\(251\) | − | 11.9001i | − | 0.751128i | −0.926796 | − | 0.375564i | \(-0.877449\pi\) | ||
0.926796 | − | 0.375564i | \(-0.122551\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 38.6567i | − | 2.43033i | ||||||
\(254\) | −3.87783 | − | 8.80980i | −0.243316 | − | 0.552776i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −15.7539 | + | 2.79544i | −0.984619 | + | 0.174715i | ||||
\(257\) | −0.340067 | −0.0212128 | −0.0106064 | − | 0.999944i | \(-0.503376\pi\) | ||||
−0.0106064 | + | 0.999944i | \(0.503376\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.01934i | 0.311886i | ||||||||
\(260\) | −6.15681 | + | 6.72263i | −0.381829 | + | 0.416920i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2.00000 | − | 0.880344i | 0.123560 | − | 0.0543879i | ||||
\(263\) | −17.2116 | −1.06132 | −0.530658 | − | 0.847586i | \(-0.678055\pi\) | ||||
−0.530658 | + | 0.847586i | \(0.678055\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −5.19375 | −0.319050 | ||||||||
\(266\) | 6.49687 | − | 2.85974i | 0.398349 | − | 0.175342i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.29844 | − | 1.18915i | −0.0793147 | − | 0.0726390i | ||||
\(269\) | 25.6568i | 1.56432i | 0.623076 | + | 0.782162i | \(0.285883\pi\) | ||||
−0.623076 | + | 0.782162i | \(0.714117\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −19.4031 | −1.17866 | −0.589328 | − | 0.807894i | \(-0.700607\pi\) | ||||
−0.589328 | + | 0.807894i | \(0.700607\pi\) | |||||||
\(272\) | 1.47956 | + | 16.8066i | 0.0897113 | + | 1.01905i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 10.0000 | + | 22.7184i | 0.604122 | + | 1.37247i | ||||
\(275\) | 19.3953i | 1.16958i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 16.8187i | 1.01054i | 0.862962 | + | 0.505269i | \(0.168607\pi\) | ||||
−0.862962 | + | 0.505269i | \(0.831393\pi\) | |||||||
\(278\) | −28.2665 | + | 12.4421i | −1.69531 | + | 0.746229i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.701562 | − | 2.06950i | 0.0419264 | − | 0.123676i | ||||
\(281\) | −13.6739 | −0.815715 | −0.407858 | − | 0.913046i | \(-0.633724\pi\) | ||||
−0.407858 | + | 0.913046i | \(0.633724\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | − | 16.8187i | − | 0.999768i | −0.866092 | − | 0.499884i | \(-0.833376\pi\) | ||
0.866092 | − | 0.499884i | \(-0.166624\pi\) | |||||||
\(284\) | −5.69745 | + | 6.22106i | −0.338082 | + | 0.369152i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −14.8062 | − | 33.6374i | −0.875512 | − | 1.98902i | ||||
\(287\) | −8.77585 | −0.518022 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.790627 | 0.0465075 | ||||||||
\(290\) | −1.59885 | − | 3.63232i | −0.0938875 | − | 0.213297i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 8.10469 | − | 8.84952i | 0.474291 | − | 0.517879i | ||||
\(293\) | 15.3019i | 0.893944i | 0.894548 | + | 0.446972i | \(0.147498\pi\) | ||||
−0.894548 | + | 0.446972i | \(0.852502\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 8.00000 | 0.465778 | ||||||||
\(296\) | −4.55796 | + | 13.4453i | −0.264926 | + | 0.781490i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 22.1047 | − | 9.72987i | 1.28049 | − | 0.563636i | ||||
\(299\) | − | 51.7748i | − | 2.99421i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − | 0.880344i | − | 0.0507422i | ||||||
\(302\) | 3.87783 | + | 8.80980i | 0.223144 | + | 0.506947i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 20.0000 | − | 1.76069i | 1.14708 | − | 0.100982i | ||||
\(305\) | 4.55796 | 0.260988 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 5.01934i | − | 0.286469i | −0.989689 | − | 0.143234i | \(-0.954250\pi\) | ||
0.989689 | − | 0.143234i | \(-0.0457503\pi\) | |||||||
\(308\) | 6.49687 | + | 5.95005i | 0.370194 | + | 0.339036i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 7.40312 | − | 3.25865i | 0.420469 | − | 0.185079i | ||||
\(311\) | −9.11592 | −0.516916 | −0.258458 | − | 0.966022i | \(-0.583214\pi\) | ||||
−0.258458 | + | 0.966022i | \(0.583214\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −14.0000 | −0.791327 | −0.395663 | − | 0.918396i | \(-0.629485\pi\) | ||||
−0.395663 | + | 0.918396i | \(0.629485\pi\) | |||||||
\(314\) | 7.63636 | − | 3.36131i | 0.430945 | − | 0.189690i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 3.63232i | 0.204011i | 0.994784 | + | 0.102006i | \(0.0325260\pi\) | ||||
−0.994784 | + | 0.102006i | \(0.967474\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 16.0000 | 0.895828 | ||||||||
\(320\) | 3.75854 | − | 4.90647i | 0.210109 | − | 0.274280i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 5.00000 | + | 11.3592i | 0.278639 | + | 0.633023i | ||||
\(323\) | − | 21.1710i | − | 1.17799i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 25.9770i | 1.44095i | ||||||||
\(326\) | 31.6849 | − | 13.9468i | 1.75487 | − | 0.772444i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −23.5078 | − | 7.96918i | −1.29800 | − | 0.440024i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 24.4791i | 1.34549i | 0.739874 | + | 0.672746i | \(0.234885\pi\) | ||||
−0.739874 | + | 0.672746i | \(0.765115\pi\) | |||||||
\(332\) | −2.27898 | − | 2.08717i | −0.125075 | − | 0.114548i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 4.80625 | + | 10.9190i | 0.262986 | + | 0.597462i | ||||
\(335\) | 0.680134 | 0.0371597 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.19375 | 0.173975 | 0.0869874 | − | 0.996209i | \(-0.472276\pi\) | ||||
0.0869874 | + | 0.996209i | \(0.472276\pi\) | |||||||
\(338\) | −12.4240 | − | 28.2253i | −0.675777 | − | 1.53526i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.80625 | − | 4.40172i | −0.260655 | − | 0.238717i | ||||
\(341\) | 32.6100i | 1.76593i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | 0.799423 | − | 2.35817i | 0.0431020 | − | 0.127144i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −27.8062 | + | 12.2395i | −1.49487 | + | 0.658002i | ||||
\(347\) | 10.5855i | 0.568260i | 0.958786 | + | 0.284130i | \(0.0917048\pi\) | ||||
−0.958786 | + | 0.284130i | \(0.908295\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 27.7377i | 1.48477i | 0.669976 | + | 0.742383i | \(0.266305\pi\) | ||||
−0.669976 | + | 0.742383i | \(0.733695\pi\) | |||||||
\(350\) | −2.50866 | − | 5.69927i | −0.134093 | − | 0.304639i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 12.0000 | + | 21.8380i | 0.639602 | + | 1.16397i | ||||
\(353\) | −8.77585 | −0.467092 | −0.233546 | − | 0.972346i | \(-0.575033\pi\) | ||||
−0.233546 | + | 0.972346i | \(0.575033\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | − | 3.25865i | − | 0.172951i | ||||||
\(356\) | 11.8543 | − | 12.9437i | 0.628274 | − | 0.686014i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −9.70156 | + | 4.27036i | −0.512743 | + | 0.225695i | ||||
\(359\) | −4.21789 | −0.222612 | −0.111306 | − | 0.993786i | \(-0.535503\pi\) | ||||
−0.111306 | + | 0.993786i | \(0.535503\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.19375 | −0.325987 | ||||||||
\(362\) | −9.91534 | + | 4.36446i | −0.521139 | + | 0.229391i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 8.70156 | + | 7.96918i | 0.456086 | + | 0.417698i | ||||
\(365\) | 4.63546i | 0.242631i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.80625 | 0.146485 | 0.0732425 | − | 0.997314i | \(-0.476665\pi\) | ||||
0.0732425 | + | 0.997314i | \(0.476665\pi\) | |||||||
\(368\) | 3.07840 | + | 34.9682i | 0.160473 | + | 1.82284i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −2.20937 | − | 5.01934i | −0.114860 | − | 0.260943i | ||||
\(371\) | 6.72263i | 0.349022i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 11.7994i | − | 0.610948i | −0.952200 | − | 0.305474i | \(-0.901185\pi\) | ||
0.952200 | − | 0.305474i | \(-0.0988149\pi\) | |||||||
\(374\) | 24.0486 | − | 10.5855i | 1.24352 | − | 0.547364i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 21.4295 | 1.10368 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 12.6797i | − | 0.651313i | −0.945488 | − | 0.325656i | \(-0.894415\pi\) | ||
0.945488 | − | 0.325656i | \(-0.105585\pi\) | |||||||
\(380\) | −5.23809 | + | 5.71949i | −0.268709 | + | 0.293403i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 2.40312 | + | 5.45951i | 0.122955 | + | 0.279333i | ||||
\(383\) | 26.6676 | 1.36265 | 0.681326 | − | 0.731980i | \(-0.261404\pi\) | ||||
0.681326 | + | 0.731980i | \(0.261404\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.40312 | −0.173439 | ||||||||
\(386\) | −0.799423 | − | 1.81616i | −0.0406896 | − | 0.0924401i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −22.7016 | + | 24.7879i | −1.15250 | + | 1.25841i | ||||
\(389\) | 17.0776i | 0.865868i | 0.901426 | + | 0.432934i | \(0.142522\pi\) | ||||
−0.901426 | + | 0.432934i | \(0.857478\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 37.0156 | 1.87196 | ||||||||
\(392\) | −2.67869 | − | 0.908080i | −0.135294 | − | 0.0458650i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −16.1047 | + | 7.08883i | −0.811342 | + | 0.357130i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 19.4597i | − | 0.976656i | −0.872660 | − | 0.488328i | \(-0.837607\pi\) | ||
0.872660 | − | 0.488328i | \(-0.162393\pi\) | |||||||
\(398\) | −6.15681 | − | 13.9873i | −0.308613 | − | 0.701119i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.54453 | − | 17.5446i | −0.0772266 | − | 0.877232i | ||||
\(401\) | 17.5517 | 0.876491 | 0.438245 | − | 0.898855i | \(-0.355600\pi\) | ||||
0.438245 | + | 0.898855i | \(0.355600\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 43.6761i | 2.17566i | ||||||||
\(404\) | 16.4122 | + | 15.0309i | 0.816538 | + | 0.747813i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4.70156 | + | 2.06950i | −0.233335 | + | 0.102707i | ||||
\(407\) | 22.1097 | 1.09594 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −10.0000 | −0.494468 | −0.247234 | − | 0.968956i | \(-0.579522\pi\) | ||||
−0.247234 | + | 0.968956i | \(0.579522\pi\) | |||||||
\(410\) | 8.77585 | − | 3.86289i | 0.433409 | − | 0.190774i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4.59688 | − | 5.01934i | 0.226472 | − | 0.247285i | ||||
\(413\) | − | 10.3550i | − | 0.509534i | ||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.19375 | 0.0585990 | ||||||||
\(416\) | 16.0722 | + | 29.2487i | 0.788002 | + | 1.43404i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −12.5969 | − | 28.6181i | −0.616133 | − | 1.39976i | ||||
\(419\) | − | 10.3550i | − | 0.505872i | −0.967483 | − | 0.252936i | \(-0.918604\pi\) | ||
0.967483 | − | 0.252936i | \(-0.0813963\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.78003i | 0.330438i | 0.986257 | + | 0.165219i | \(0.0528331\pi\) | ||||
−0.986257 | + | 0.165219i | \(0.947167\pi\) | |||||||
\(422\) | 14.1332 | − | 6.22106i | 0.687995 | − | 0.302836i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −6.10469 | + | 18.0079i | −0.296470 | + | 0.874539i | ||||
\(425\) | −18.5719 | −0.900870 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | − | 5.89968i | − | 0.285506i | ||||||
\(428\) | −19.4906 | − | 17.8502i | −0.942115 | − | 0.862820i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.387503 | + | 0.880344i | 0.0186871 | + | 0.0424540i | ||||
\(431\) | 25.6474 | 1.23539 | 0.617697 | − | 0.786417i | \(-0.288066\pi\) | ||||
0.617697 | + | 0.786417i | \(0.288066\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 28.8062 | 1.38434 | 0.692170 | − | 0.721735i | \(-0.256655\pi\) | ||||
0.692170 | + | 0.721735i | \(0.256655\pi\) | |||||||
\(434\) | −4.21789 | − | 9.58237i | −0.202465 | − | 0.459969i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | − | 44.0490i | − | 2.10715i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 16.0000 | 0.763638 | 0.381819 | − | 0.924237i | \(-0.375298\pi\) | ||||
0.381819 | + | 0.924237i | \(0.375298\pi\) | |||||||
\(440\) | −9.11592 | − | 3.09031i | −0.434585 | − | 0.147325i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 32.2094 | − | 14.1777i | 1.53204 | − | 0.674363i | ||||
\(443\) | − | 16.3050i | − | 0.774674i | −0.921938 | − | 0.387337i | \(-0.873395\pi\) | ||
0.921938 | − | 0.387337i | \(-0.126605\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6.78003i | 0.321404i | ||||||||
\(446\) | 6.15681 | + | 13.9873i | 0.291533 | + | 0.662316i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −6.35078 | − | 4.86493i | −0.300046 | − | 0.229847i | ||||
\(449\) | −22.1097 | −1.04342 | −0.521710 | − | 0.853123i | \(-0.674706\pi\) | ||||
−0.521710 | + | 0.853123i | \(0.674706\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 38.6567i | 1.82027i | ||||||||
\(452\) | −17.5517 | + | 19.1647i | −0.825563 | + | 0.901434i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −7.40312 | + | 3.25865i | −0.347446 | + | 0.152936i | ||||
\(455\) | −4.55796 | −0.213680 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −22.0000 | −1.02912 | −0.514558 | − | 0.857455i | \(-0.672044\pi\) | ||||
−0.514558 | + | 0.857455i | \(0.672044\pi\) | |||||||
\(458\) | 20.6301 | − | 9.08080i | 0.963982 | − | 0.424318i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −10.0000 | − | 9.15833i | −0.466252 | − | 0.427009i | ||||
\(461\) | 27.2020i | 1.26692i | 0.773775 | + | 0.633461i | \(0.218366\pi\) | ||||
−0.773775 | + | 0.633461i | \(0.781634\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −24.0000 | −1.11537 | −0.557687 | − | 0.830051i | \(-0.688311\pi\) | ||||
−0.557687 | + | 0.830051i | \(0.688311\pi\) | |||||||
\(464\) | −14.4733 | + | 1.27415i | −0.671906 | + | 0.0591509i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −12.2094 | − | 27.7377i | −0.565588 | − | 1.28493i | ||||
\(467\) | − | 40.9587i | − | 1.89534i | −0.319250 | − | 0.947671i | \(-0.603431\pi\) | ||
0.319250 | − | 0.947671i | \(-0.396569\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − | 0.880344i | − | 0.0406505i | ||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 9.40312 | − | 27.7377i | 0.432814 | − | 1.27673i | ||||
\(473\) | −3.87783 | −0.178303 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 22.1008i | 1.01405i | ||||||||
\(476\) | −5.69745 | + | 6.22106i | −0.261142 | + | 0.285142i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 7.59688 | + | 17.2589i | 0.347473 | + | 0.789403i | ||||
\(479\) | 35.1034 | 1.60392 | 0.801958 | − | 0.597380i | \(-0.203792\pi\) | ||||
0.801958 | + | 0.597380i | \(0.203792\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 29.6125 | 1.35021 | ||||||||
\(482\) | 14.1332 | + | 32.1084i | 0.643751 | + | 1.46250i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 11.3508 | − | 12.3939i | 0.515945 | − | 0.563361i | ||||
\(485\) | − | 12.9841i | − | 0.589579i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.00000 | −0.362515 | −0.181257 | − | 0.983436i | \(-0.558017\pi\) | ||||
−0.181257 | + | 0.983436i | \(0.558017\pi\) | |||||||
\(488\) | 5.35738 | − | 15.8034i | 0.242517 | − | 0.715388i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.00000 | − | 0.440172i | 0.0451754 | − | 0.0198850i | ||||
\(491\) | − | 15.8439i | − | 0.715024i | −0.933909 | − | 0.357512i | \(-0.883625\pi\) | ||
0.933909 | − | 0.357512i | \(-0.116375\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 15.3207i | 0.690011i | ||||||||
\(494\) | −16.8716 | − | 38.3295i | −0.759088 | − | 1.72453i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.59688 | − | 29.4984i | −0.116603 | − | 1.32452i | ||||
\(497\) | −4.21789 | −0.189198 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 34.5177i | − | 1.54523i | −0.634877 | − | 0.772613i | \(-0.718949\pi\) | ||
0.634877 | − | 0.772613i | \(-0.281051\pi\) | |||||||
\(500\) | 10.7148 | + | 9.81294i | 0.479179 | + | 0.438848i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 15.4031 | − | 6.78003i | 0.687475 | − | 0.302607i | ||||
\(503\) | 17.5517 | 0.782592 | 0.391296 | − | 0.920265i | \(-0.372027\pi\) | ||||
0.391296 | + | 0.920265i | \(0.372027\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.59688 | −0.382556 | ||||||||
\(506\) | 50.0361 | − | 22.0245i | 2.22438 | − | 0.979108i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 9.19375 | − | 10.0387i | 0.407907 | − | 0.445394i | ||||
\(509\) | 37.5569i | 1.66468i | 0.554265 | + | 0.832340i | \(0.313000\pi\) | ||||
−0.554265 | + | 0.832340i | \(0.687000\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.00000 | 0.265424 | ||||||||
\(512\) | −12.5940 | − | 18.7987i | −0.556583 | − | 0.830792i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.193752 | − | 0.440172i | −0.00854601 | − | 0.0194152i | ||||
\(515\) | 2.62918i | 0.115855i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −6.49687 | + | 2.85974i | −0.285456 | + | 0.125650i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −12.2094 | − | 4.13899i | −0.535416 | − | 0.181507i | ||||
\(521\) | 21.0895 | 0.923946 | 0.461973 | − | 0.886894i | \(-0.347142\pi\) | ||||
0.461973 | + | 0.886894i | \(0.347142\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 20.0774i | − | 0.877921i | −0.898506 | − | 0.438961i | \(-0.855347\pi\) | ||
0.898506 | − | 0.438961i | \(-0.144653\pi\) | |||||||
\(524\) | 2.27898 | + | 2.08717i | 0.0995577 | + | 0.0911783i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.80625 | − | 22.2782i | −0.427573 | − | 0.971376i | ||||
\(527\) | −31.2256 | −1.36021 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 54.0156 | 2.34851 | ||||||||
\(530\) | −2.95911 | − | 6.72263i | −0.128536 | − | 0.292012i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 7.40312 | + | 6.78003i | 0.320966 | + | 0.293951i | ||||
\(533\) | 51.7748i | 2.24261i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 10.2094 | 0.441390 | ||||||||
\(536\) | 0.799423 | − | 2.35817i | 0.0345298 | − | 0.101857i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −33.2094 | + | 14.6178i | −1.43176 | + | 0.630220i | ||||
\(539\) | 4.40490i | 0.189732i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 16.8187i | 0.723092i | 0.932354 | + | 0.361546i | \(0.117751\pi\) | ||||
−0.932354 | + | 0.361546i | \(0.882249\pi\) | |||||||
\(542\) | −11.0548 | − | 25.1148i | −0.474846 | − | 1.07877i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −20.9109 | + | 11.4906i | −0.896549 | + | 0.492654i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 14.4404i | − | 0.617427i | −0.951155 | − | 0.308713i | \(-0.900102\pi\) | ||
0.951155 | − | 0.308713i | \(-0.0998984\pi\) | |||||||
\(548\) | −23.7085 | + | 25.8874i | −1.01278 | + | 1.10585i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −25.1047 | + | 11.0504i | −1.07047 | + | 0.471190i | ||||
\(551\) | 18.2318 | 0.776703 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −21.7696 | + | 9.58237i | −0.924902 | + | 0.407116i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −32.2094 | − | 29.4984i | −1.36598 | − | 1.25101i | ||||
\(557\) | − | 33.6131i | − | 1.42423i | −0.702060 | − | 0.712117i | \(-0.747736\pi\) | ||
0.702060 | − | 0.712117i | \(-0.252264\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −5.19375 | −0.219672 | ||||||||
\(560\) | 3.07840 | − | 0.271006i | 0.130086 | − | 0.0114521i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −7.79063 | − | 17.6990i | −0.328628 | − | 0.746589i | ||||
\(563\) | 13.4453i | 0.566650i | 0.959024 | + | 0.283325i | \(0.0914375\pi\) | ||||
−0.959024 | + | 0.283325i | \(0.908562\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | − | 10.0387i | − | 0.422330i | ||||||
\(566\) | 21.7696 | − | 9.58237i | 0.915045 | − | 0.402777i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −11.2984 | − | 3.83019i | −0.474072 | − | 0.160711i | ||||
\(569\) | 47.4170 | 1.98783 | 0.993913 | − | 0.110171i | \(-0.0351397\pi\) | ||||
0.993913 | + | 0.110171i | \(0.0351397\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 0.880344i | − | 0.0368413i | −0.999830 | − | 0.0184206i | \(-0.994136\pi\) | ||
0.999830 | − | 0.0184206i | \(-0.00586380\pi\) | |||||||
\(572\) | 35.1034 | − | 38.3295i | 1.46775 | − | 1.60264i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −5.00000 | − | 11.3592i | −0.208696 | − | 0.474124i | ||||
\(575\) | −38.6412 | −1.61145 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3.19375 | 0.132958 | 0.0664788 | − | 0.997788i | \(-0.478824\pi\) | ||||
0.0664788 | + | 0.997788i | \(0.478824\pi\) | |||||||
\(578\) | 0.450456 | + | 1.02336i | 0.0187365 | + | 0.0425663i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3.79063 | − | 4.13899i | 0.157397 | − | 0.171862i | ||||
\(581\) | − | 1.54515i | − | 0.0641038i | ||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 29.6125 | 1.22642 | ||||||||
\(584\) | 16.0722 | + | 5.44848i | 0.665070 | + | 0.225460i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −19.8062 | + | 8.71816i | −0.818189 | + | 0.360144i | ||||
\(587\) | − | 18.0807i | − | 0.746271i | −0.927777 | − | 0.373136i | \(-0.878283\pi\) | ||
0.927777 | − | 0.373136i | \(-0.121717\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 37.1588i | 1.53110i | ||||||||
\(590\) | 4.55796 | + | 10.3550i | 0.187648 | + | 0.426307i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −20.0000 | + | 1.76069i | −0.821995 | + | 0.0723639i | ||||
\(593\) | −40.0014 | −1.64266 | −0.821331 | − | 0.570452i | \(-0.806768\pi\) | ||||
−0.821331 | + | 0.570452i | \(0.806768\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 3.25865i | − | 0.133592i | ||||||
\(596\) | 25.1881 | + | 23.0681i | 1.03174 | + | 0.944905i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 67.0156 | − | 29.4984i | 2.74047 | − | 1.20628i | ||||
\(599\) | −21.7696 | −0.889482 | −0.444741 | − | 0.895659i | \(-0.646704\pi\) | ||||
−0.444741 | + | 0.895659i | \(0.646704\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.6125 | 0.473684 | 0.236842 | − | 0.971548i | \(-0.423888\pi\) | ||||
0.236842 | + | 0.971548i | \(0.423888\pi\) | |||||||
\(602\) | 1.13949 | − | 0.501572i | 0.0464422 | − | 0.0204425i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −9.19375 | + | 10.0387i | −0.374088 | + | 0.408468i | ||||
\(605\) | 6.49206i | 0.263940i | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.80625 | 0.113902 | 0.0569511 | − | 0.998377i | \(-0.481862\pi\) | ||||
0.0569511 | + | 0.998377i | \(0.481862\pi\) | |||||||
\(608\) | 13.6739 | + | 24.8842i | 0.554549 | + | 1.00919i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.59688 | + | 5.89968i | 0.105144 | + | 0.238871i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(614\) | 6.49687 | − | 2.85974i | 0.262192 | − | 0.115410i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.00000 | + | 11.7994i | −0.161165 | + | 0.475410i | ||||
\(617\) | −8.43579 | −0.339612 | −0.169806 | − | 0.985478i | \(-0.554314\pi\) | ||||
−0.169806 | + | 0.985478i | \(0.554314\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 3.52138i | − | 0.141536i | −0.997493 | − | 0.0707681i | \(-0.977455\pi\) | ||
0.997493 | − | 0.0707681i | \(-0.0225450\pi\) | |||||||
\(620\) | 8.43579 | + | 7.72577i | 0.338789 | + | 0.310275i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −5.19375 | − | 11.7994i | −0.208250 | − | 0.473111i | ||||
\(623\) | 8.77585 | 0.351597 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 16.4031 | 0.656125 | ||||||||
\(626\) | −7.97643 | − | 18.1212i | −0.318802 | − | 0.724267i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 8.70156 | + | 7.96918i | 0.347230 | + | 0.318005i | ||||
\(629\) | 21.1710i | 0.844144i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.8062 | −0.589427 | −0.294714 | − | 0.955586i | \(-0.595224\pi\) | ||||
−0.294714 | + | 0.955586i | \(0.595224\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −4.70156 | + | 2.06950i | −0.186723 | + | 0.0821902i | ||||
\(635\) | 5.25835i | 0.208671i | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 5.89968i | 0.233754i | ||||||||
\(638\) | 9.11592 | + | 20.7099i | 0.360903 | + | 0.819913i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 8.49219 | + | 2.06950i | 0.335683 | + | 0.0818040i | ||||
\(641\) | −8.43579 | −0.333194 | −0.166597 | − | 0.986025i | \(-0.553278\pi\) | ||||
−0.166597 | + | 0.986025i | \(0.553278\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 26.8574i | 1.05915i | 0.848263 | + | 0.529576i | \(0.177649\pi\) | ||||
−0.848263 | + | 0.529576i | \(0.822351\pi\) | |||||||
\(644\) | −11.8543 | + | 12.9437i | −0.467123 | + | 0.510053i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 27.4031 | − | 12.0621i | 1.07816 | − | 0.474577i | ||||
\(647\) | 34.4233 | 1.35332 | 0.676659 | − | 0.736296i | \(-0.263427\pi\) | ||||
0.676659 | + | 0.736296i | \(0.263427\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −45.6125 | −1.79045 | ||||||||
\(650\) | −33.6239 | + | 14.8003i | −1.31884 | + | 0.580515i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 36.1047 | + | 33.0659i | 1.41397 | + | 1.29496i | ||||
\(653\) | − | 18.6227i | − | 0.728764i | −0.931250 | − | 0.364382i | \(-0.881280\pi\) | ||
0.931250 | − | 0.364382i | \(-0.118720\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.19375 | −0.0466437 | ||||||||
\(656\) | −3.07840 | − | 34.9682i | −0.120191 | − | 1.36528i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 40.1052i | − | 1.56228i | −0.624358 | − | 0.781139i | \(-0.714639\pi\) | ||
0.624358 | − | 0.781139i | \(-0.285361\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 36.0157i | − | 1.40085i | −0.713727 | − | 0.700424i | \(-0.752994\pi\) | ||
0.713727 | − | 0.700424i | \(-0.247006\pi\) | |||||||
\(662\) | −31.6849 | + | 13.9468i | −1.23147 | + | 0.542059i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.40312 | − | 4.13899i | 0.0544518 | − | 0.160624i | ||||
\(665\) | −3.87783 | −0.150376 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 31.8767i | 1.23427i | ||||||||
\(668\) | −11.3949 | + | 12.4421i | −0.440882 | + | 0.481400i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.387503 | + | 0.880344i | 0.0149705 | + | 0.0340107i | ||||
\(671\) | −25.9875 | −1.00324 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 33.4031 | 1.28760 | 0.643798 | − | 0.765196i | \(-0.277358\pi\) | ||||
0.643798 | + | 0.765196i | \(0.277358\pi\) | |||||||
\(674\) | 1.81962 | + | 4.13389i | 0.0700893 | + | 0.159232i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 29.4555 | − | 32.1625i | 1.13290 | − | 1.23702i | ||||
\(677\) | 26.1179i | 1.00379i | 0.864927 | + | 0.501897i | \(0.167364\pi\) | ||||
−0.864927 | + | 0.501897i | \(0.832636\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −16.8062 | −0.644965 | ||||||||
\(680\) | 2.95911 | − | 8.72892i | 0.113477 | − | 0.334739i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −42.2094 | + | 18.5794i | −1.61628 | + | 0.711442i | ||||
\(683\) | 42.7344i | 1.63519i | 0.575797 | + | 0.817593i | \(0.304692\pi\) | ||||
−0.575797 | + | 0.817593i | \(0.695308\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 13.5601i | − | 0.518103i | ||||||
\(686\) | −0.569745 | − | 1.29437i | −0.0217530 | − | 0.0494192i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3.50781 | − | 0.308808i | 0.133734 | − | 0.0117732i | ||||
\(689\) | 39.6614 | 1.51098 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 21.8380i | 0.830758i | 0.909648 | + | 0.415379i | \(0.136351\pi\) | ||||
−0.909648 | + | 0.415379i | \(0.863649\pi\) | |||||||
\(692\) | −31.6849 | − | 29.0181i | −1.20448 | − | 1.10310i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −13.7016 | + | 6.03105i | −0.520104 | + | 0.228935i | ||||
\(695\) | 16.8716 | 0.639975 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −37.0156 | −1.40207 | ||||||||
\(698\) | −35.9028 | + | 15.8034i | −1.35894 | + | 0.598169i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 5.94766 | − | 6.49426i | 0.224800 | − | 0.245460i | ||||
\(701\) | 6.26150i | 0.236493i | 0.992984 | + | 0.118247i | \(0.0377274\pi\) | ||||
−0.992984 | + | 0.118247i | \(0.962273\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 25.1938 | 0.950200 | ||||||||
\(704\) | −21.4295 | + | 27.9745i | −0.807656 | + | 1.05433i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −5.00000 | − | 11.3592i | −0.188177 | − | 0.427509i | ||||
\(707\) | 11.1275i | 0.418494i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | − | 3.52138i | − | 0.132248i | −0.997811 | − | 0.0661240i | \(-0.978937\pi\) | ||
0.997811 | − | 0.0661240i | \(-0.0210633\pi\) | |||||||
\(710\) | 4.21789 | − | 1.85660i | 0.158295 | − | 0.0696769i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 23.5078 | + | 7.96918i | 0.880992 | + | 0.298658i | ||||
\(713\) | −64.9687 | −2.43310 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 20.0774i | 0.750850i | ||||||||
\(716\) | −11.0548 | − | 10.1244i | −0.413139 | − | 0.378366i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −2.40312 | − | 5.45951i | −0.0896838 | − | 0.203747i | ||||
\(719\) | 26.6676 | 0.994535 | 0.497267 | − | 0.867597i | \(-0.334337\pi\) | ||||
0.497267 | + | 0.867597i | \(0.334337\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.40312 | 0.126739 | ||||||||
\(722\) | −3.52886 | − | 8.01700i | −0.131331 | − | 0.298362i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −11.2984 | − | 10.3475i | −0.419903 | − | 0.384561i | ||||
\(725\) | − | 15.9936i | − | 0.593986i | ||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −25.0156 | −0.927778 | −0.463889 | − | 0.885893i | \(-0.653546\pi\) | ||||
−0.463889 | + | 0.885893i | \(0.653546\pi\) | |||||||
\(728\) | −5.35738 | + | 15.8034i | −0.198558 | + | 0.585714i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −6.00000 | + | 2.64103i | −0.222070 | + | 0.0977490i | ||||
\(731\) | − | 3.71320i | − | 0.137338i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 37.7764i | 1.39530i | 0.716437 | + | 0.697652i | \(0.245772\pi\) | ||||
−0.716437 | + | 0.697652i | \(0.754228\pi\) | |||||||
\(734\) | 1.59885 | + | 3.63232i | 0.0590145 | + | 0.134071i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −43.5078 | + | 23.9075i | −1.60372 | + | 0.881243i | ||||
\(737\) | −3.87783 | −0.142842 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 41.0350i | − | 1.50950i | −0.656013 | − | 0.754749i | \(-0.727759\pi\) | ||
0.656013 | − | 0.754749i | \(-0.272241\pi\) | |||||||
\(740\) | 5.23809 | − | 5.71949i | 0.192556 | − | 0.210252i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −8.70156 | + | 3.83019i | −0.319444 | + | 0.140611i | ||||
\(743\) | −21.0895 | −0.773698 | −0.386849 | − | 0.922143i | \(-0.626436\pi\) | ||||
−0.386849 | + | 0.922143i | \(0.626436\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −13.1938 | −0.483382 | ||||||||
\(746\) | 15.2727 | − | 6.72263i | 0.559174 | − | 0.246133i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 27.4031 | + | 25.0967i | 1.00196 | + | 0.917626i | ||||
\(749\) | − | 13.2147i | − | 0.482854i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 12.2094 | + | 27.7377i | 0.444639 | + | 1.01015i | ||||
\(755\) | − | 5.25835i | − | 0.191371i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 20.0774i | − | 0.729724i | −0.931062 | − | 0.364862i | \(-0.881116\pi\) | ||
0.931062 | − | 0.364862i | \(-0.118884\pi\) | |||||||
\(758\) | 16.4122 | − | 7.22420i | 0.596119 | − | 0.262395i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −10.3875 | − | 3.52138i | −0.376794 | − | 0.127734i | ||||
\(761\) | −4.21789 | −0.152899 | −0.0764493 | − | 0.997073i | \(-0.524358\pi\) | ||||
−0.0764493 | + | 0.997073i | \(0.524358\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −5.69745 | + | 6.22106i | −0.206127 | + | 0.225070i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 15.1938 | + | 34.5177i | 0.548973 | + | 1.24718i | ||||
\(767\) | −61.0909 | −2.20587 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −8.80625 | −0.317561 | −0.158781 | − | 0.987314i | \(-0.550756\pi\) | ||||
−0.158781 | + | 0.987314i | \(0.550756\pi\) | |||||||
\(770\) | −1.93891 | − | 4.40490i | −0.0698736 | − | 0.158741i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1.89531 | − | 2.06950i | 0.0682138 | − | 0.0744828i | ||||
\(773\) | − | 22.5665i | − | 0.811661i | −0.913948 | − | 0.405830i | \(-0.866982\pi\) | ||
0.913948 | − | 0.405830i | \(-0.133018\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 32.5969 | 1.17091 | ||||||||
\(776\) | −45.0188 | − | 15.2614i | −1.61608 | − | 0.547853i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −22.1047 | + | 9.72987i | −0.792491 | + | 0.348833i | ||||
\(779\) | 44.0490i | 1.57822i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 18.5794i | 0.664823i | ||||||||
\(782\) | 21.0895 | + | 47.9119i | 0.754158 | + | 1.71332i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.350781 | − | 3.98459i | −0.0125279 | − | 0.142307i | ||||
\(785\) | −4.55796 | −0.162681 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 21.8380i | − | 0.778442i | −0.921144 | − | 0.389221i | \(-0.872744\pi\) | ||
0.921144 | − | 0.389221i | \(-0.127256\pi\) | |||||||
\(788\) | −18.3511 | − | 16.8066i | −0.653732 | − | 0.598709i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −12.9937 | −0.462004 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −34.8062 | −1.23601 | ||||||||
\(794\) | 25.1881 | − | 11.0871i | 0.893891 | − | 0.393466i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 14.5969 | − | 15.9384i | 0.517373 | − | 0.564920i | ||||
\(797\) | − | 37.5569i | − | 1.33033i | −0.746695 | − | 0.665167i | \(-0.768360\pi\) | ||
0.746695 | − | 0.665167i | \(-0.231640\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 21.8292 | − | 11.9952i | 0.771780 | − | 0.424093i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 10.0000 | + | 22.7184i | 0.353112 | + | 0.802214i | ||||
\(803\) | − | 26.4294i | − | 0.932673i | ||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | − | 6.78003i | − | 0.238965i | ||||||
\(806\) | −56.5330 | + | 24.8842i | −1.99129 | + | 0.876510i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −10.1047 | + | 29.8072i | −0.355482 | + | 1.04861i | ||||
\(809\) | −12.9937 | −0.456836 | −0.228418 | − | 0.973563i | \(-0.573355\pi\) | ||||
−0.228418 | + | 0.973563i | \(0.573355\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 23.5987i | − | 0.828663i | −0.910126 | − | 0.414332i | \(-0.864015\pi\) | ||
0.910126 | − | 0.414332i | \(-0.135985\pi\) | |||||||
\(812\) | −5.35738 | − | 4.90647i | −0.188007 | − | 0.172183i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 12.5969 | + | 28.6181i | 0.441520 | + | 1.00306i | ||||
\(815\) | −18.9120 | −0.662458 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.41875 | −0.154592 | ||||||||
\(818\) | −5.69745 | − | 12.9437i | −0.199207 | − | 0.452565i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 10.0000 | + | 9.15833i | 0.349215 | + | 0.319823i | ||||
\(821\) | − | 24.3422i | − | 0.849549i | −0.905299 | − | 0.424775i | \(-0.860353\pi\) | ||
0.905299 | − | 0.424775i | \(-0.139647\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −30.8062 | −1.07384 | −0.536919 | − | 0.843634i | \(-0.680412\pi\) | ||||
−0.536919 | + | 0.843634i | \(0.680412\pi\) | |||||||
\(824\) | 9.11592 | + | 3.09031i | 0.317568 | + | 0.107656i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 13.4031 | − | 5.89968i | 0.466354 | − | 0.205276i | ||||
\(827\) | 48.9150i | 1.70094i | 0.526022 | + | 0.850471i | \(0.323683\pi\) | ||||
−0.526022 | + | 0.850471i | \(0.676317\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 19.4597i | − | 0.675865i | −0.941170 | − | 0.337932i | \(-0.890273\pi\) | ||
0.941170 | − | 0.337932i | \(-0.109727\pi\) | |||||||
\(830\) | 0.680134 | + | 1.54515i | 0.0236078 | + | 0.0536331i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −28.7016 | + | 37.4676i | −0.995048 | + | 1.29895i | ||||
\(833\) | −4.21789 | −0.146141 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 6.51730i | − | 0.225540i | ||||||
\(836\) | 29.8653 | − | 32.6100i | 1.03291 | − | 1.12784i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 13.4031 | − | 5.89968i | 0.463003 | − | 0.203801i | ||||
\(839\) | −25.3074 | −0.873707 | −0.436854 | − | 0.899533i | \(-0.643907\pi\) | ||||
−0.436854 | + | 0.899533i | \(0.643907\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 15.8062 | 0.545043 | ||||||||
\(842\) | −8.77585 | + | 3.86289i | −0.302436 | + | 0.133124i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 16.1047 | + | 14.7492i | 0.554346 | + | 0.507689i | ||||
\(845\) | 16.8470i | 0.579555i | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 8.40312 | 0.288735 | ||||||||
\(848\) | −26.7869 | + | 2.35817i | −0.919867 | + | 0.0809799i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −10.5813 | − | 24.0389i | −0.362934 | − | 0.824527i | ||||
\(851\) | 44.0490i | 1.50998i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 12.4170i | 0.425149i | 0.977145 | + | 0.212575i | \(0.0681849\pi\) | ||||
−0.977145 | + | 0.212575i | \(0.931815\pi\) | |||||||
\(854\) | 7.63636 | − | 3.36131i | 0.261311 | − | 0.115022i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 12.0000 | − | 35.3981i | 0.410152 | − | 1.20988i | ||||
\(857\) | 4.89803 | 0.167313 | 0.0836567 | − | 0.996495i | \(-0.473340\pi\) | ||||
0.0836567 | + | 0.996495i | \(0.473340\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 38.6567i | 1.31895i | 0.751726 | + | 0.659476i | \(0.229222\pi\) | ||||
−0.751726 | + | 0.659476i | \(0.770778\pi\) | |||||||
\(860\) | −0.918712 | + | 1.00314i | −0.0313278 | + | 0.0342069i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 14.6125 | + | 33.1972i | 0.497704 | + | 1.13070i | ||||
\(863\) | 21.7696 | 0.741046 | 0.370523 | − | 0.928823i | \(-0.379178\pi\) | ||||
0.370523 | + | 0.928823i | \(0.379178\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 16.5969 | 0.564311 | ||||||||
\(866\) | 16.4122 | + | 37.2859i | 0.557710 | + | 1.26703i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 10.0000 | − | 10.9190i | 0.339422 | − | 0.370616i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.19375 | −0.175984 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 57.0156 | − | 25.0967i | 1.92858 | − | 0.848908i | ||||
\(875\) | 7.26464i | 0.245590i | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | − | 43.6761i | − | 1.47484i | −0.675436 | − | 0.737418i | \(-0.736045\pi\) | ||
0.675436 | − | 0.737418i | \(-0.263955\pi\) | |||||||
\(878\) | 9.11592 | + | 20.7099i | 0.307647 | + | 0.698925i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1.19375 | − | 13.5601i | −0.0402414 | − | 0.457109i | ||||
\(881\) | 39.3213 | 1.32477 | 0.662384 | − | 0.749164i | \(-0.269545\pi\) | ||||
0.662384 | + | 0.749164i | \(0.269545\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 10.9190i | − | 0.367454i | −0.982977 | − | 0.183727i | \(-0.941184\pi\) | ||
0.982977 | − | 0.183727i | \(-0.0588163\pi\) | |||||||
\(884\) | 36.7023 | + | 33.6131i | 1.23443 | + | 1.13053i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 21.1047 | − | 9.28970i | 0.709026 | − | 0.312093i | ||||
\(887\) | −0.680134 | −0.0228367 | −0.0114183 | − | 0.999935i | \(-0.503635\pi\) | ||||
−0.0114183 | + | 0.999935i | \(0.503635\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.80625 | 0.228274 | ||||||||
\(890\) | −8.77585 | + | 3.86289i | −0.294167 | + | 0.129484i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −14.5969 | + | 15.9384i | −0.488740 | + | 0.533656i | ||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.79063 | 0.193559 | ||||||||
\(896\) | 2.67869 | − | 10.9920i | 0.0894888 | − | 0.367218i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −12.5969 | − | 28.6181i | −0.420363 | − | 0.954997i | ||||
\(899\) | − | 26.8905i | − | 0.896849i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 28.3553i | 0.944653i | ||||||||
\(902\) | −50.0361 | + | 22.0245i | −1.66602 | + | 0.733335i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −34.8062 | − | 11.7994i | −1.15764 | − | 0.392441i | ||||
\(905\) | 5.91823 | 0.196729 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | − | 44.5564i | − | 1.47947i | −0.672897 | − | 0.739736i | \(-0.734950\pi\) | ||
0.672897 | − | 0.739736i | \(-0.265050\pi\) | |||||||
\(908\) | −8.43579 | − | 7.72577i | −0.279951 | − | 0.256389i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.59688 | − | 5.89968i | −0.0860856 | − | 0.195573i | ||||
\(911\) | 43.8793 | 1.45379 | 0.726893 | − | 0.686751i | \(-0.240964\pi\) | ||||
0.726893 | + | 0.686751i | \(0.240964\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −6.80625 | −0.225254 | ||||||||
\(914\) | −12.5344 | − | 28.4761i | −0.414601 | − | 0.941906i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 23.5078 | + | 21.5292i | 0.776720 | + | 0.711346i | ||||
\(917\) | 1.54515i | 0.0510255i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −40.0000 | −1.31948 | −0.659739 | − | 0.751495i | \(-0.729333\pi\) | ||||
−0.659739 | + | 0.751495i | \(0.729333\pi\) | |||||||
\(920\) | 6.15681 | − | 18.1616i | 0.202984 | − | 0.598770i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −35.2094 | + | 15.4982i | −1.15956 | + | 0.510406i | ||||
\(923\) | 24.8842i | 0.819074i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 22.1008i | − | 0.726669i | ||||||
\(926\) | −13.6739 | − | 31.0649i | −0.449352 | − | 1.02085i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −9.89531 | − | 18.0079i | −0.324830 | − | 0.591137i | ||||
\(929\) | 34.0832 | 1.11823 | 0.559117 | − | 0.829089i | \(-0.311140\pi\) | ||||
0.559117 | + | 0.829089i | \(0.311140\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 5.01934i | 0.164502i | ||||||||
\(932\) | 28.9466 | − | 31.6069i | 0.948178 | − | 1.03532i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 53.0156 | − | 23.3360i | 1.73472 | − | 0.763577i | ||||
\(935\) | −14.3540 | −0.469427 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −47.6125 | −1.55543 | −0.777716 | − | 0.628616i | \(-0.783622\pi\) | ||||
−0.777716 | + | 0.628616i | \(0.783622\pi\) | |||||||
\(938\) | 1.13949 | − | 0.501572i | 0.0372057 | − | 0.0163769i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 46.3667i | − | 1.51151i | −0.654854 | − | 0.755756i | \(-0.727270\pi\) | ||
0.654854 | − | 0.755756i | \(-0.272730\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −77.0156 | −2.50797 | ||||||||
\(944\) | 41.2602 | − | 3.63232i | 1.34291 | − | 0.118222i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.20937 | − | 5.01934i | −0.0718329 | − | 0.163193i | ||||
\(947\) | 43.1955i | 1.40367i | 0.712342 | + | 0.701833i | \(0.247635\pi\) | ||||
−0.712342 | + | 0.701833i | \(0.752365\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 35.3981i | − | 1.14907i | ||||||
\(950\) | −28.6065 | + | 12.5918i | −0.928119 | + | 0.408532i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −11.2984 | − | 3.83019i | −0.366184 | − | 0.124137i | ||||
\(953\) | 9.11592 | 0.295294 | 0.147647 | − | 0.989040i | \(-0.452830\pi\) | ||||
0.147647 | + | 0.989040i | \(0.452830\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 3.25865i | − | 0.105447i | ||||||
\(956\) | −18.0111 | + | 19.6663i | −0.582519 | + | 0.636054i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 20.0000 | + | 45.4368i | 0.646171 | + | 1.46800i | ||||
\(959\) | −17.5517 | −0.566774 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 23.8062 | 0.767943 | ||||||||
\(962\) | 16.8716 | + | 38.3295i | 0.543961 | + | 1.23579i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −33.5078 | + | 36.5872i | −1.07921 | + | 1.17840i | ||||
\(965\) | 1.08402i | 0.0348959i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 17.1938 | 0.552914 | 0.276457 | − | 0.961026i | \(-0.410840\pi\) | ||||
0.276457 | + | 0.961026i | \(0.410840\pi\) | |||||||
\(968\) | 22.5094 | + | 7.63071i | 0.723479 | + | 0.245260i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 16.8062 | − | 7.39764i | 0.539616 | − | 0.237524i | ||||
\(971\) | − | 47.6004i | − | 1.52757i | −0.645471 | − | 0.763785i | \(-0.723339\pi\) | ||
0.645471 | − | 0.763785i | \(-0.276661\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | − | 21.8380i | − | 0.700095i | ||||||
\(974\) | −4.55796 | − | 10.3550i | −0.146046 | − | 0.331794i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 23.5078 | − | 2.06950i | 0.752467 | − | 0.0662430i | ||||
\(977\) | 22.7898 | 0.729110 | 0.364555 | − | 0.931182i | \(-0.381221\pi\) | ||||
0.364555 | + | 0.931182i | \(0.381221\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 38.6567i | − | 1.23547i | ||||||
\(980\) | 1.13949 | + | 1.04358i | 0.0363997 | + | 0.0333360i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 20.5078 | − | 9.02697i | 0.654431 | − | 0.288062i | ||||
\(983\) | −35.1034 | −1.11963 | −0.559813 | − | 0.828619i | \(-0.689127\pi\) | ||||
−0.559813 | + | 0.828619i | \(0.689127\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 9.61250 | 0.306280 | ||||||||
\(986\) | −19.8307 | + | 8.72892i | −0.631538 | + | 0.277985i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 40.0000 | − | 43.6761i | 1.27257 | − | 1.38952i | ||||
\(989\) | − | 7.72577i | − | 0.245665i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 46.8062 | 1.48685 | 0.743425 | − | 0.668820i | \(-0.233200\pi\) | ||||
0.743425 | + | 0.668820i | \(0.233200\pi\) | |||||||
\(992\) | 36.7023 | − | 20.1679i | 1.16530 | − | 0.640331i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −2.40312 | − | 5.45951i | −0.0762225 | − | 0.173165i | ||||
\(995\) | 8.34866i | 0.264670i | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 7.66037i | 0.242606i | 0.992616 | + | 0.121303i | \(0.0387073\pi\) | ||||
−0.992616 | + | 0.121303i | \(0.961293\pi\) | |||||||
\(998\) | 44.6787 | − | 19.6663i | 1.41428 | − | 0.622526i | ||||
\(999\) | 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 | 504.2.c.e.253.6 | yes | 8 | |
3.2 | odd | 2 | inner | 504.2.c.e.253.3 | ✓ | 8 | |
4.3 | odd | 2 | 2016.2.c.f.1009.4 | 8 | |||
8.3 | odd | 2 | 2016.2.c.f.1009.5 | 8 | |||
8.5 | even | 2 | inner | 504.2.c.e.253.5 | yes | 8 | |
12.11 | even | 2 | 2016.2.c.f.1009.6 | 8 | |||
24.5 | odd | 2 | inner | 504.2.c.e.253.4 | yes | 8 | |
24.11 | even | 2 | 2016.2.c.f.1009.3 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.c.e.253.3 | ✓ | 8 | 3.2 | odd | 2 | inner | |
504.2.c.e.253.4 | yes | 8 | 24.5 | odd | 2 | inner | |
504.2.c.e.253.5 | yes | 8 | 8.5 | even | 2 | inner | |
504.2.c.e.253.6 | yes | 8 | 1.1 | even | 1 | trivial | |
2016.2.c.f.1009.3 | 8 | 24.11 | even | 2 | |||
2016.2.c.f.1009.4 | 8 | 4.3 | odd | 2 | |||
2016.2.c.f.1009.5 | 8 | 8.3 | odd | 2 | |||
2016.2.c.f.1009.6 | 8 | 12.11 | even | 2 |