Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [9196,2,Mod(1,9196)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(9196, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 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("9196.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 9196 = 2^{2} \cdot 11^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9196.a (trivial) |
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: | yes |
Analytic conductor: | \(73.4304296988\) |
Analytic rank: | \(1\) |
Dimension: | \(6\) |
Coefficient field: | 6.6.114134848.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 10x^{4} - 6x^{3} + 20x^{2} + 14x - 5 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.3 | ||
Root | \(0.267039\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 9196.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.267039 | −0.154175 | −0.0770875 | − | 0.997024i | \(-0.524562\pi\) | ||||
−0.0770875 | + | 0.997024i | \(0.524562\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.518487 | 0.231874 | 0.115937 | − | 0.993257i | \(-0.463013\pi\) | ||||
0.115937 | + | 0.993257i | \(0.463013\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −5.09697 | −1.92647 | −0.963237 | − | 0.268654i | \(-0.913421\pi\) | ||||
−0.963237 | + | 0.268654i | \(0.913421\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.92869 | −0.976230 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.11971 | 1.14260 | 0.571301 | − | 0.820741i | \(-0.306439\pi\) | ||||
0.571301 | + | 0.820741i | \(0.306439\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.138456 | −0.0357492 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −4.81298 | −1.16732 | −0.583659 | − | 0.811999i | \(-0.698379\pi\) | ||||
−0.583659 | + | 0.811999i | \(0.698379\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.00000 | 0.229416 | ||||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.36109 | 0.297014 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 5.98125 | 1.24718 | 0.623589 | − | 0.781752i | \(-0.285674\pi\) | ||||
0.623589 | + | 0.781752i | \(0.285674\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.73117 | −0.946234 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.58319 | 0.304685 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.99113 | 1.11252 | 0.556262 | − | 0.831007i | \(-0.312235\pi\) | ||||
0.556262 | + | 0.831007i | \(0.312235\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.95035 | 0.709505 | 0.354752 | − | 0.934960i | \(-0.384565\pi\) | ||||
0.354752 | + | 0.934960i | \(0.384565\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −2.64271 | −0.446700 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.25709 | 1.19306 | 0.596529 | − | 0.802591i | \(-0.296546\pi\) | ||||
0.596529 | + | 0.802591i | \(0.296546\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.10012 | −0.176161 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −5.80963 | −0.907312 | −0.453656 | − | 0.891177i | \(-0.649881\pi\) | ||||
−0.453656 | + | 0.891177i | \(0.649881\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.51461 | 1.29847 | 0.649233 | − | 0.760590i | \(-0.275090\pi\) | ||||
0.649233 | + | 0.760590i | \(0.275090\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.51849 | −0.226363 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −10.2394 | −1.49357 | −0.746787 | − | 0.665064i | \(-0.768404\pi\) | ||||
−0.746787 | + | 0.665064i | \(0.768404\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 18.9791 | 2.71130 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.28525 | 0.179971 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −2.04548 | −0.280969 | −0.140484 | − | 0.990083i | \(-0.544866\pi\) | ||||
−0.140484 | + | 0.990083i | \(0.544866\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.267039 | −0.0353702 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 11.0257 | 1.43542 | 0.717709 | − | 0.696343i | \(-0.245191\pi\) | ||||
0.717709 | + | 0.696343i | \(0.245191\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.27039 | −0.418730 | −0.209365 | − | 0.977838i | \(-0.567140\pi\) | ||||
−0.209365 | + | 0.977838i | \(0.567140\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 14.9274 | 1.88068 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.13601 | 0.264940 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.52141 | 1.16322 | 0.581612 | − | 0.813466i | \(-0.302422\pi\) | ||||
0.581612 | + | 0.813466i | \(0.302422\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.59723 | −0.192284 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −16.5953 | −1.96950 | −0.984748 | − | 0.173986i | \(-0.944335\pi\) | ||||
−0.984748 | + | 0.173986i | \(0.944335\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.49710 | −0.409305 | −0.204653 | − | 0.978835i | \(-0.565606\pi\) | ||||
−0.204653 | + | 0.978835i | \(0.565606\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.26341 | 0.145886 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.72909 | 0.869591 | 0.434796 | − | 0.900529i | \(-0.356821\pi\) | ||||
0.434796 | + | 0.900529i | \(0.356821\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.36330 | 0.929255 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −14.7529 | −1.61934 | −0.809671 | − | 0.586884i | \(-0.800354\pi\) | ||||
−0.809671 | + | 0.586884i | \(0.800354\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.49546 | −0.270671 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.59987 | −0.171524 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.01624 | 0.107722 | 0.0538608 | − | 0.998548i | \(-0.482847\pi\) | ||||
0.0538608 | + | 0.998548i | \(0.482847\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −20.9980 | −2.20119 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.05490 | −0.109388 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.518487 | 0.0531956 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.98233 | 0.912018 | 0.456009 | − | 0.889975i | \(-0.349279\pi\) | ||||
0.456009 | + | 0.889975i | \(0.349279\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.295216 | 0.0293751 | 0.0146875 | − | 0.999892i | \(-0.495325\pi\) | ||||
0.0146875 | + | 0.999892i | \(0.495325\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.53355 | −0.742302 | −0.371151 | − | 0.928572i | \(-0.621037\pi\) | ||||
−0.371151 | + | 0.928572i | \(0.621037\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.705707 | 0.0688699 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −14.7117 | −1.42223 | −0.711117 | − | 0.703074i | \(-0.751810\pi\) | ||||
−0.711117 | + | 0.703074i | \(0.751810\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −19.4540 | −1.86336 | −0.931678 | − | 0.363284i | \(-0.881655\pi\) | ||||
−0.931678 | + | 0.363284i | \(0.881655\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.93793 | −0.183940 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 19.6846 | 1.85177 | 0.925886 | − | 0.377802i | \(-0.123320\pi\) | ||||
0.925886 | + | 0.377802i | \(0.123320\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.10120 | 0.289188 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −12.0654 | −1.11544 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 24.5316 | 2.24881 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.55140 | 0.139885 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −5.04548 | −0.451282 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.32443 | 0.649938 | 0.324969 | − | 0.945725i | \(-0.394646\pi\) | ||||
0.324969 | + | 0.945725i | \(0.394646\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −2.27373 | −0.200191 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 10.6849 | 0.933541 | 0.466771 | − | 0.884378i | \(-0.345417\pi\) | ||||
0.466771 | + | 0.884378i | \(0.345417\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.09697 | −0.441963 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.820864 | 0.0706487 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −9.82214 | −0.839162 | −0.419581 | − | 0.907718i | \(-0.637823\pi\) | ||||
−0.419581 | + | 0.907718i | \(0.637823\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.816129 | 0.0692231 | 0.0346116 | − | 0.999401i | \(-0.488981\pi\) | ||||
0.0346116 | + | 0.999401i | \(0.488981\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.73433 | 0.230272 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.10632 | 0.257966 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −5.06816 | −0.418015 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1.95452 | −0.160120 | −0.0800602 | − | 0.996790i | \(-0.525511\pi\) | ||||
−0.0800602 | + | 0.996790i | \(0.525511\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.3481 | −1.00488 | −0.502438 | − | 0.864613i | \(-0.667564\pi\) | ||||
−0.502438 | + | 0.864613i | \(0.667564\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 14.0957 | 1.13957 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.04821 | 0.164516 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 18.2012 | 1.45261 | 0.726307 | − | 0.687370i | \(-0.241235\pi\) | ||||
0.726307 | + | 0.687370i | \(0.241235\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.546224 | 0.0433183 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −30.4863 | −2.40266 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −19.3252 | −1.51366 | −0.756832 | − | 0.653609i | \(-0.773254\pi\) | ||||
−0.756832 | + | 0.653609i | \(0.773254\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −21.0979 | −1.63260 | −0.816301 | − | 0.577626i | \(-0.803979\pi\) | ||||
−0.816301 | + | 0.577626i | \(0.803979\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.97202 | 0.305540 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.92869 | −0.223963 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 6.51306 | 0.495179 | 0.247589 | − | 0.968865i | \(-0.420362\pi\) | ||||
0.247589 | + | 0.968865i | \(0.420362\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 24.1146 | 1.82290 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.94428 | −0.221306 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 3.69464 | 0.276151 | 0.138075 | − | 0.990422i | \(-0.455908\pi\) | ||||
0.138075 | + | 0.990422i | \(0.455908\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.44337 | 0.181614 | 0.0908072 | − | 0.995868i | \(-0.471055\pi\) | ||||
0.0908072 | + | 0.995868i | \(0.471055\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.873321 | 0.0645578 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 3.76270 | 0.276640 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −8.06948 | −0.586968 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −10.3633 | −0.749862 | −0.374931 | − | 0.927053i | \(-0.622334\pi\) | ||||
−0.374931 | + | 0.927053i | \(0.622334\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −17.0613 | −1.22810 | −0.614049 | − | 0.789268i | \(-0.710460\pi\) | ||||
−0.614049 | + | 0.789268i | \(0.710460\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.570399 | −0.0408471 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 14.6439 | 1.04334 | 0.521668 | − | 0.853149i | \(-0.325310\pi\) | ||||
0.521668 | + | 0.853149i | \(0.325310\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.67961 | −0.544393 | −0.272197 | − | 0.962242i | \(-0.587750\pi\) | ||||
−0.272197 | + | 0.962242i | \(0.587750\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.54259 | −0.179340 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −30.5366 | −2.14325 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.01222 | −0.210382 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −17.5172 | −1.21753 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −19.3484 | −1.33200 | −0.665998 | − | 0.745954i | \(-0.731994\pi\) | ||||
−0.665998 | + | 0.745954i | \(0.731994\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 4.43159 | 0.303647 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 4.41471 | 0.301081 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −20.1348 | −1.36684 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.933864 | 0.0631046 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −19.8281 | −1.33378 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 15.6458 | 1.04772 | 0.523861 | − | 0.851804i | \(-0.324491\pi\) | ||||
0.523861 | + | 0.851804i | \(0.324491\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 13.8561 | 0.923742 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −17.3623 | −1.15238 | −0.576188 | − | 0.817317i | \(-0.695461\pi\) | ||||
−0.576188 | + | 0.817317i | \(0.695461\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −11.5358 | −0.762308 | −0.381154 | − | 0.924512i | \(-0.624473\pi\) | ||||
−0.381154 | + | 0.924512i | \(0.624473\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 4.19411 | 0.274765 | 0.137383 | − | 0.990518i | \(-0.456131\pi\) | ||||
0.137383 | + | 0.990518i | \(0.456131\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.30900 | −0.346321 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.06397 | −0.134069 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −21.4307 | −1.38624 | −0.693119 | − | 0.720823i | \(-0.743764\pi\) | ||||
−0.693119 | + | 0.720823i | \(0.743764\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 19.4248 | 1.25126 | 0.625632 | − | 0.780118i | \(-0.284841\pi\) | ||||
0.625632 | + | 0.780118i | \(0.284841\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −6.98290 | −0.447953 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 9.84041 | 0.628681 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.11971 | 0.262131 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 3.93960 | 0.249662 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −13.1137 | −0.827731 | −0.413866 | − | 0.910338i | \(-0.635822\pi\) | ||||
−0.413866 | + | 0.910338i | \(0.635822\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.666386 | 0.0417307 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 5.83037 | 0.363689 | 0.181844 | − | 0.983327i | \(-0.441793\pi\) | ||||
0.181844 | + | 0.983327i | \(0.441793\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −36.9892 | −2.29840 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −17.5462 | −1.08608 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −14.9657 | −0.922825 | −0.461413 | − | 0.887186i | \(-0.652657\pi\) | ||||
−0.461413 | + | 0.887186i | \(0.652657\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.06056 | −0.0651494 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.271377 | −0.0166080 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −4.30265 | −0.262337 | −0.131169 | − | 0.991360i | \(-0.541873\pi\) | ||||
−0.131169 | + | 0.991360i | \(0.541873\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −18.9170 | −1.14913 | −0.574564 | − | 0.818460i | \(-0.694828\pi\) | ||||
−0.574564 | + | 0.818460i | \(0.694828\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 5.60730 | 0.339369 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 25.6733 | 1.54256 | 0.771280 | − | 0.636497i | \(-0.219617\pi\) | ||||
0.771280 | + | 0.636497i | \(0.219617\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −11.5694 | −0.692640 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 10.0671 | 0.600550 | 0.300275 | − | 0.953853i | \(-0.402921\pi\) | ||||
0.300275 | + | 0.953853i | \(0.402921\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 10.2052 | 0.606634 | 0.303317 | − | 0.952890i | \(-0.401906\pi\) | ||||
0.303317 | + | 0.952890i | \(0.401906\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.138456 | −0.00820144 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 29.6115 | 1.74791 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 6.16473 | 0.362631 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.39863 | −0.140610 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −7.45349 | −0.435438 | −0.217719 | − | 0.976012i | \(-0.569862\pi\) | ||||
−0.217719 | + | 0.976012i | \(0.569862\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.71666 | 0.332837 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 24.6410 | 1.42503 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −43.3987 | −2.50146 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −0.0788341 | −0.00452890 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −1.69565 | −0.0970928 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −19.5117 | −1.11359 | −0.556795 | − | 0.830650i | \(-0.687969\pi\) | ||||
−0.556795 | + | 0.830650i | \(0.687969\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 2.01175 | 0.114445 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 17.6341 | 0.999940 | 0.499970 | − | 0.866043i | \(-0.333344\pi\) | ||||
0.499970 | + | 0.866043i | \(0.333344\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 27.5381 | 1.55655 | 0.778273 | − | 0.627926i | \(-0.216096\pi\) | ||||
0.778273 | + | 0.627926i | \(0.216096\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 7.73968 | 0.436082 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −29.1807 | −1.63895 | −0.819474 | − | 0.573116i | \(-0.805735\pi\) | ||||
−0.819474 | + | 0.573116i | \(0.805735\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 3.92860 | 0.219273 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −4.81298 | −0.267801 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −19.4911 | −1.08117 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.19498 | 0.287283 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 52.1900 | 2.87733 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −20.8204 | −1.14439 | −0.572196 | − | 0.820117i | \(-0.693908\pi\) | ||||
−0.572196 | + | 0.820117i | \(0.693908\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −21.2538 | −1.16470 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 4.93672 | 0.269722 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −7.39226 | −0.402682 | −0.201341 | − | 0.979521i | \(-0.564530\pi\) | ||||
−0.201341 | + | 0.979521i | \(0.564530\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −5.25656 | −0.285497 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −61.0571 | −3.29677 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.828142 | −0.0445856 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 18.7257 | 1.00525 | 0.502624 | − | 0.864505i | \(-0.332368\pi\) | ||||
0.502624 | + | 0.864505i | \(0.332368\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.02466 | 0.161906 | 0.0809531 | − | 0.996718i | \(-0.474204\pi\) | ||||
0.0809531 | + | 0.996718i | \(0.474204\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 6.52229 | 0.348134 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 13.1701 | 0.700974 | 0.350487 | − | 0.936568i | \(-0.386016\pi\) | ||||
0.350487 | + | 0.936568i | \(0.386016\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −8.60443 | −0.456676 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −6.55089 | −0.346710 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −3.00617 | −0.158660 | −0.0793299 | − | 0.996848i | \(-0.525278\pi\) | ||||
−0.0793299 | + | 0.996848i | \(0.525278\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.81320 | −0.0949073 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −18.3380 | −0.957233 | −0.478617 | − | 0.878024i | \(-0.658862\pi\) | ||||
−0.478617 | + | 0.878024i | \(0.658862\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 17.0146 | 0.885745 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 10.4258 | 0.541279 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −9.36579 | −0.484942 | −0.242471 | − | 0.970159i | \(-0.577958\pi\) | ||||
−0.242471 | + | 0.970159i | \(0.577958\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.34734 | 0.0695764 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 24.6817 | 1.27117 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6.53349 | −0.335603 | −0.167802 | − | 0.985821i | \(-0.553667\pi\) | ||||
−0.167802 | + | 0.985821i | \(0.553667\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.95591 | −0.100204 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −11.7921 | −0.602550 | −0.301275 | − | 0.953537i | \(-0.597412\pi\) | ||||
−0.301275 | + | 0.953537i | \(0.597412\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −24.9366 | −1.26760 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 10.7593 | 0.545520 | 0.272760 | − | 0.962082i | \(-0.412064\pi\) | ||||
0.272760 | + | 0.962082i | \(0.412064\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −28.7876 | −1.45585 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.85328 | −0.143929 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 4.00743 | 0.201636 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −13.9879 | −0.702033 | −0.351017 | − | 0.936369i | \(-0.614164\pi\) | ||||
−0.351017 | + | 0.936369i | \(0.614164\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 1.36109 | 0.0681397 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −4.87064 | −0.243228 | −0.121614 | − | 0.992577i | \(-0.538807\pi\) | ||||
−0.121614 | + | 0.992577i | \(0.538807\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 16.2743 | 0.810682 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 4.33626 | 0.215470 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −26.3790 | −1.30436 | −0.652179 | − | 0.758065i | \(-0.726145\pi\) | ||||
−0.652179 | + | 0.758065i | \(0.726145\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 2.62289 | 0.129378 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −56.1975 | −2.76530 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7.64918 | −0.375484 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −0.217938 | −0.0106725 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −3.11450 | −0.152153 | −0.0760766 | − | 0.997102i | \(-0.524239\pi\) | ||||
−0.0760766 | + | 0.997102i | \(0.524239\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −32.9808 | −1.60739 | −0.803694 | − | 0.595043i | \(-0.797135\pi\) | ||||
−0.803694 | + | 0.595043i | \(0.797135\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 29.9881 | 1.45807 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 22.7710 | 1.10456 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 16.6691 | 0.806673 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −11.7394 | −0.565467 | −0.282734 | − | 0.959198i | \(-0.591241\pi\) | ||||
−0.282734 | + | 0.959198i | \(0.591241\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 29.1256 | 1.39969 | 0.699843 | − | 0.714297i | \(-0.253253\pi\) | ||||
0.699843 | + | 0.714297i | \(0.253253\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.829509 | −0.0397719 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 5.98125 | 0.286122 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 24.4850 | 1.16860 | 0.584302 | − | 0.811536i | \(-0.301368\pi\) | ||||
0.584302 | + | 0.811536i | \(0.301368\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −55.5839 | −2.64685 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 9.63442 | 0.457745 | 0.228873 | − | 0.973456i | \(-0.426496\pi\) | ||||
0.228873 | + | 0.973456i | \(0.426496\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.526909 | 0.0249779 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.521933 | 0.0246866 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 20.6096 | 0.972626 | 0.486313 | − | 0.873785i | \(-0.338341\pi\) | ||||
0.486313 | + | 0.873785i | \(0.338341\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 3.29743 | 0.154927 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −10.8872 | −0.510400 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 18.5937 | 0.869776 | 0.434888 | − | 0.900485i | \(-0.356788\pi\) | ||||
0.434888 | + | 0.900485i | \(0.356788\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −7.61986 | −0.355665 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 24.1919 | 1.12673 | 0.563366 | − | 0.826208i | \(-0.309506\pi\) | ||||
0.563366 | + | 0.826208i | \(0.309506\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.69713 | 0.125346 | 0.0626731 | − | 0.998034i | \(-0.480037\pi\) | ||||
0.0626731 | + | 0.998034i | \(0.480037\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.546951 | −0.0253642 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −37.0275 | −1.71343 | −0.856715 | − | 0.515791i | \(-0.827498\pi\) | ||||
−0.856715 | + | 0.515791i | \(0.827498\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −48.5303 | −2.24092 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.86043 | −0.223957 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.73117 | −0.217081 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 5.99058 | 0.274290 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −21.7171 | −0.992281 | −0.496140 | − | 0.868242i | \(-0.665250\pi\) | ||||
−0.496140 | + | 0.868242i | \(0.665250\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 29.8971 | 1.36319 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 8.14103 | 0.370429 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 4.65722 | 0.211473 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 9.16809 | 0.415446 | 0.207723 | − | 0.978188i | \(-0.433395\pi\) | ||||
0.207723 | + | 0.978188i | \(0.433395\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 5.16058 | 0.233369 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −17.0821 | −0.770905 | −0.385452 | − | 0.922728i | \(-0.625955\pi\) | ||||
−0.385452 | + | 0.922728i | \(0.625955\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −28.8352 | −1.29867 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 84.5856 | 3.79418 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −26.9315 | −1.20562 | −0.602810 | − | 0.797885i | \(-0.705952\pi\) | ||||
−0.602810 | + | 0.797885i | \(0.705952\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 5.63396 | 0.251707 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −25.1348 | −1.12070 | −0.560352 | − | 0.828255i | \(-0.689334\pi\) | ||||
−0.560352 | + | 0.828255i | \(0.689334\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.153065 | 0.00681132 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −1.06068 | −0.0471066 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 27.1591 | 1.20381 | 0.601903 | − | 0.798569i | \(-0.294409\pi\) | ||||
0.601903 | + | 0.798569i | \(0.294409\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 17.8246 | 0.788516 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 1.58319 | 0.0698996 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −3.90604 | −0.172121 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −1.73924 | −0.0763442 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 12.8941 | 0.564901 | 0.282450 | − | 0.959282i | \(-0.408853\pi\) | ||||
0.282450 | + | 0.959282i | \(0.408853\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.2122 | −0.621456 | −0.310728 | − | 0.950499i | \(-0.600573\pi\) | ||||
−0.310728 | + | 0.950499i | \(0.600573\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −6.43955 | −0.281045 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −19.0130 | −0.828217 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 12.7754 | 0.555453 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −32.2907 | −1.40130 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −23.9340 | −1.03670 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −7.62782 | −0.329779 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −0.986614 | −0.0425755 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 19.9337 | 0.857018 | 0.428509 | − | 0.903538i | \(-0.359039\pi\) | ||||
0.428509 | + | 0.903538i | \(0.359039\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.652475 | −0.0280004 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −10.0866 | −0.432064 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −15.1760 | −0.648878 | −0.324439 | − | 0.945907i | \(-0.605175\pi\) | ||||
−0.324439 | + | 0.945907i | \(0.605175\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 9.57795 | 0.408777 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 5.99113 | 0.255231 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −39.3950 | −1.67524 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1.00479 | −0.0426509 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −19.6997 | −0.834705 | −0.417353 | − | 0.908745i | \(-0.637042\pi\) | ||||
−0.417353 | + | 0.908745i | \(0.637042\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 35.0777 | 1.48363 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 11.9735 | 0.504624 | 0.252312 | − | 0.967646i | \(-0.418809\pi\) | ||||
0.252312 | + | 0.967646i | \(0.418809\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 10.2062 | 0.429378 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −42.6275 | −1.79019 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −27.2806 | −1.14366 | −0.571832 | − | 0.820371i | \(-0.693767\pi\) | ||||
−0.571832 | + | 0.820371i | \(0.693767\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 33.9116 | 1.41916 | 0.709579 | − | 0.704626i | \(-0.248885\pi\) | ||||
0.709579 | + | 0.704626i | \(0.248885\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 2.76740 | 0.115610 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −28.2983 | −1.18012 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.06078 | 0.0441609 | 0.0220805 | − | 0.999756i | \(-0.492971\pi\) | ||||
0.0220805 | + | 0.999756i | \(0.492971\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 4.55602 | 0.189342 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 75.1951 | 3.11962 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −6.25573 | −0.258642 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 41.1871 | 1.69997 | 0.849987 | − | 0.526804i | \(-0.176610\pi\) | ||||
0.849987 | + | 0.526804i | \(0.176610\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.95035 | 0.162772 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −3.91050 | −0.160856 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −30.1699 | −1.23893 | −0.619464 | − | 0.785025i | \(-0.712650\pi\) | ||||
−0.619464 | + | 0.785025i | \(0.712650\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 12.7193 | 0.521440 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 2.05076 | 0.0839318 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 22.3931 | 0.914958 | 0.457479 | − | 0.889220i | \(-0.348752\pi\) | ||||
0.457479 | + | 0.889220i | \(0.348752\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 12.5837 | 0.513299 | 0.256650 | − | 0.966504i | \(-0.417381\pi\) | ||||
0.256650 | + | 0.966504i | \(0.417381\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −27.8852 | −1.13558 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.92646 | 0.402903 | 0.201451 | − | 0.979499i | \(-0.435434\pi\) | ||||
0.201451 | + | 0.979499i | \(0.435434\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 8.15446 | 0.330436 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −42.1835 | −1.70656 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 32.0150 | 1.29307 | 0.646536 | − | 0.762884i | \(-0.276217\pi\) | ||||
0.646536 | + | 0.762884i | \(0.276217\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.804379 | 0.0324357 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 45.6339 | 1.83715 | 0.918575 | − | 0.395247i | \(-0.129341\pi\) | ||||
0.918575 | + | 0.395247i | \(0.129341\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 34.6141 | 1.39126 | 0.695630 | − | 0.718400i | \(-0.255125\pi\) | ||||
0.695630 | + | 0.718400i | \(0.255125\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 9.46947 | 0.379997 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −5.17976 | −0.207523 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 21.0398 | 0.841594 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −34.9282 | −1.39268 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.430341 | 0.0171316 | 0.00856580 | − | 0.999963i | \(-0.497273\pi\) | ||||
0.00856580 | + | 0.999963i | \(0.497273\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 5.16677 | 0.205361 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 3.79762 | 0.150704 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 78.1884 | 3.09794 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 48.6024 | 1.92268 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −47.4840 | −1.87551 | −0.937753 | − | 0.347302i | \(-0.887098\pi\) | ||||
−0.937753 | + | 0.347302i | \(0.887098\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −11.2346 | −0.443051 | −0.221525 | − | 0.975155i | \(-0.571104\pi\) | ||||
−0.221525 | + | 0.975155i | \(0.571104\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.17890 | −0.0464191 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 24.0322 | 0.944803 | 0.472401 | − | 0.881384i | \(-0.343387\pi\) | ||||
0.472401 | + | 0.881384i | \(0.343387\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 5.37679 | 0.210733 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 17.3209 | 0.677819 | 0.338910 | − | 0.940819i | \(-0.389942\pi\) | ||||
0.338910 | + | 0.940819i | \(0.389942\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.53996 | 0.216464 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 10.2419 | 0.399576 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 18.0899 | 0.704684 | 0.352342 | − | 0.935871i | \(-0.385385\pi\) | ||||
0.352342 | + | 0.935871i | \(0.385385\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.734767 | 0.0285791 | 0.0142896 | − | 0.999898i | \(-0.495451\pi\) | ||||
0.0142896 | + | 0.999898i | \(0.495451\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 5.29487 | 0.205636 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −2.64271 | −0.102480 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 35.8345 | 1.38752 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −4.17804 | −0.161533 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −35.4115 | −1.36501 | −0.682507 | − | 0.730879i | \(-0.739110\pi\) | ||||
−0.682507 | + | 0.730879i | \(0.739110\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −7.49035 | −0.288304 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −25.8475 | −0.993400 | −0.496700 | − | 0.867922i | \(-0.665455\pi\) | ||||
−0.496700 | + | 0.867922i | \(0.665455\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −45.7827 | −1.75698 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 4.63641 | 0.177668 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −33.2465 | −1.27214 | −0.636071 | − | 0.771630i | \(-0.719442\pi\) | ||||
−0.636071 | + | 0.771630i | \(0.719442\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5.09265 | −0.194580 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 3.08051 | 0.117529 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −8.42680 | −0.321035 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −27.5007 | −1.04617 | −0.523087 | − | 0.852279i | \(-0.675220\pi\) | ||||
−0.523087 | + | 0.852279i | \(0.675220\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0.423152 | 0.0160511 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 27.9616 | 1.05912 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −1.11999 | −0.0423619 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 34.2830 | 1.29485 | 0.647425 | − | 0.762129i | \(-0.275846\pi\) | ||||
0.647425 | + | 0.762129i | \(0.275846\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.25709 | 0.273706 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.41771 | 0.0533941 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1.50471 | −0.0565903 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −30.6199 | −1.14996 | −0.574978 | − | 0.818169i | \(-0.694989\pi\) | ||||
−0.574978 | + | 0.818169i | \(0.694989\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −22.6361 | −0.848921 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 23.6281 | 0.884878 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 5.72284 | 0.213723 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 10.4753 | 0.390663 | 0.195331 | − | 0.980737i | \(-0.437422\pi\) | ||||
0.195331 | + | 0.980737i | \(0.437422\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 38.3983 | 1.43003 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −5.18719 | −0.192914 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −28.3451 | −1.05271 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 22.7343 | 0.843168 | 0.421584 | − | 0.906789i | \(-0.361474\pi\) | ||||
0.421584 | + | 0.906789i | \(0.361474\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −23.2252 | −0.860192 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −40.9806 | −1.51572 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −46.6306 | −1.72234 | −0.861170 | − | 0.508318i | \(-0.830268\pi\) | ||||
−0.861170 | + | 0.508318i | \(0.830268\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2.62777 | −0.0969269 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −18.1493 | −0.667633 | −0.333817 | − | 0.942638i | \(-0.608337\pi\) | ||||
−0.333817 | + | 0.942638i | \(0.608337\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1.10012 | −0.0404141 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −19.1850 | −0.703831 | −0.351915 | − | 0.936032i | \(-0.614470\pi\) | ||||
−0.351915 | + | 0.936032i | \(0.614470\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.01339 | −0.0371278 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 43.2067 | 1.58085 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 74.9851 | 2.73990 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −12.5092 | −0.456466 | −0.228233 | − | 0.973607i | \(-0.573295\pi\) | ||||
−0.228233 | + | 0.973607i | \(0.573295\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 3.50188 | 0.127615 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −6.40234 | −0.233005 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1.10374 | −0.0401162 | −0.0200581 | − | 0.999799i | \(-0.506385\pi\) | ||||
−0.0200581 | + | 0.999799i | \(0.506385\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −36.9913 | −1.34093 | −0.670466 | − | 0.741940i | \(-0.733906\pi\) | ||||
−0.670466 | + | 0.741940i | \(0.733906\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 99.1565 | 3.58971 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 7.30844 | 0.264237 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 45.4225 | 1.64011 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −21.0843 | −0.760321 | −0.380160 | − | 0.924921i | \(-0.624131\pi\) | ||||
−0.380160 | + | 0.924921i | \(0.624131\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.55694 | −0.0560717 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 41.3989 | 1.48902 | 0.744508 | − | 0.667613i | \(-0.232684\pi\) | ||||
0.744508 | + | 0.667613i | \(0.232684\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −18.6898 | −0.671358 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 9.87755 | 0.354355 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −5.80963 | −0.208152 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 9.48510 | 0.338970 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 9.43708 | 0.336824 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −10.6169 | −0.378452 | −0.189226 | − | 0.981934i | \(-0.560598\pi\) | ||||
−0.189226 | + | 0.981934i | \(0.560598\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 3.99643 | 0.142277 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −100.332 | −3.56739 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −13.4731 | −0.478442 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0.283210 | 0.0100444 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 46.2638 | 1.63875 | 0.819375 | − | 0.573258i | \(-0.194321\pi\) | ||||
0.819375 | + | 0.573258i | \(0.194321\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 49.2821 | 1.74347 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −2.97626 | −0.105161 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −15.8067 | −0.557114 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 1.14897 | 0.0404458 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −21.0659 | −0.740637 | −0.370318 | − | 0.928905i | \(-0.620751\pi\) | ||||
−0.370318 | + | 0.928905i | \(0.620751\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 18.5834 | 0.652552 | 0.326276 | − | 0.945275i | \(-0.394206\pi\) | ||||
0.326276 | + | 0.945275i | \(0.394206\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 5.05159 | 0.177167 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −10.0198 | −0.350980 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 8.51461 | 0.297888 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 61.4968 | 2.14887 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −13.4643 | −0.469908 | −0.234954 | − | 0.972006i | \(-0.575494\pi\) | ||||
−0.234954 | + | 0.972006i | \(0.575494\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −11.6154 | −0.404887 | −0.202443 | − | 0.979294i | \(-0.564888\pi\) | ||||
−0.202443 | + | 0.979294i | \(0.564888\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −33.7319 | −1.17297 | −0.586487 | − | 0.809959i | \(-0.699489\pi\) | ||||
−0.586487 | + | 0.809959i | \(0.699489\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −46.6617 | −1.62063 | −0.810314 | − | 0.585996i | \(-0.800703\pi\) | ||||
−0.810314 | + | 0.585996i | \(0.800703\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −6.85577 | −0.237824 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −91.3459 | −3.16495 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −10.9390 | −0.378559 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 6.25417 | 0.216176 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 14.5103 | 0.500950 | 0.250475 | − | 0.968123i | \(-0.419413\pi\) | ||||
0.250475 | + | 0.968123i | \(0.419413\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 6.89362 | 0.237711 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −2.68830 | −0.0925899 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 2.05944 | 0.0708468 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −2.72518 | −0.0935278 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 43.4065 | 1.48796 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 20.8893 | 0.715236 | 0.357618 | − | 0.933868i | \(-0.383589\pi\) | ||||
0.357618 | + | 0.933868i | \(0.383589\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −1.51849 | −0.0519311 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −20.9960 | −0.717208 | −0.358604 | − | 0.933490i | \(-0.616747\pi\) | ||||
−0.358604 | + | 0.933490i | \(0.616747\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 24.5725 | 0.838403 | 0.419201 | − | 0.907893i | \(-0.362310\pi\) | ||||
0.419201 | + | 0.907893i | \(0.362310\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −7.90743 | −0.269485 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 14.1989 | 0.483337 | 0.241669 | − | 0.970359i | \(-0.422305\pi\) | ||||
0.241669 | + | 0.970359i | \(0.422305\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.37693 | 0.114819 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −1.64622 | −0.0559087 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 39.2254 | 1.32910 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −26.3065 | −0.890339 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 25.7167 | 0.869382 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −54.9559 | −1.85573 | −0.927865 | − | 0.372917i | \(-0.878358\pi\) | ||||
−0.927865 | + | 0.372917i | \(0.878358\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 1.99037 | 0.0671336 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −47.9021 | −1.61386 | −0.806931 | − | 0.590646i | \(-0.798873\pi\) | ||||
−0.806931 | + | 0.590646i | \(0.798873\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 6.51500 | 0.219247 | 0.109624 | − | 0.993973i | \(-0.465035\pi\) | ||||
0.109624 | + | 0.993973i | \(0.465035\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −1.52657 | −0.0513151 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 25.0785 | 0.842053 | 0.421027 | − | 0.907048i | \(-0.361670\pi\) | ||||
0.421027 | + | 0.907048i | \(0.361670\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −37.3324 | −1.25209 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −10.2394 | −0.342649 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.91562 | 0.0640322 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −6.58012 | −0.219704 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 23.6671 | 0.789341 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 9.84485 | 0.327980 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 11.5891 | 0.385663 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 1.26686 | 0.0421117 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 41.3260 | 1.37221 | 0.686104 | − | 0.727504i | \(-0.259320\pi\) | ||||
0.686104 | + | 0.727504i | \(0.259320\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −0.864596 | −0.0286768 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 38.3970 | 1.27215 | 0.636075 | − | 0.771627i | \(-0.280557\pi\) | ||||
0.636075 | + | 0.771627i | \(0.280557\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0.452805 | 0.0149693 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −54.4605 | −1.79844 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 17.5139 | 0.577729 | 0.288865 | − | 0.957370i | \(-0.406722\pi\) | ||||
0.288865 | + | 0.957370i | \(0.406722\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 5.21038 | 0.171688 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −68.3677 | −2.25035 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −34.3345 | −1.12891 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 22.0634 | 0.724658 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −40.3052 | −1.32237 | −0.661186 | − | 0.750222i | \(-0.729947\pi\) | ||||
−0.661186 | + | 0.750222i | \(0.729947\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 18.9791 | 0.622015 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −4.70900 | −0.154166 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 13.3193 | 0.435122 | 0.217561 | − | 0.976047i | \(-0.430190\pi\) | ||||
0.217561 | + | 0.976047i | \(0.430190\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −7.35375 | −0.239981 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 14.6329 | 0.477018 | 0.238509 | − | 0.971140i | \(-0.423341\pi\) | ||||
0.238509 | + | 0.971140i | \(0.423341\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −34.7489 | −1.13158 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −4.18392 | −0.136103 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −21.6890 | −0.704799 | −0.352400 | − | 0.935850i | \(-0.614634\pi\) | ||||
−0.352400 | + | 0.935850i | \(0.614634\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −14.4071 | −0.467673 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 7.79237 | 0.252685 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −19.3512 | −0.626848 | −0.313424 | − | 0.949613i | \(-0.601476\pi\) | ||||
−0.313424 | + | 0.949613i | \(0.601476\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −5.37323 | −0.173874 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 50.0631 | 1.61662 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.3947 | −0.496603 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 43.0860 | 1.38843 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −8.84604 | −0.284764 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 44.1468 | 1.41967 | 0.709833 | − | 0.704370i | \(-0.248770\pi\) | ||||
0.709833 | + | 0.704370i | \(0.248770\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 1.28525 | 0.0412882 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −15.3821 | −0.493635 | −0.246818 | − | 0.969062i | \(-0.579385\pi\) | ||||
−0.246818 | + | 0.969062i | \(0.579385\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.15978 | −0.133357 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 5.20487 | 0.166689 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −30.3264 | −0.970227 | −0.485114 | − | 0.874451i | \(-0.661222\pi\) | ||||
−0.485114 | + | 0.874451i | \(0.661222\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 56.9748 | 1.81906 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −36.2126 | −1.15500 | −0.577502 | − | 0.816389i | \(-0.695972\pi\) | ||||
−0.577502 | + | 0.816389i | \(0.695972\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 7.59268 | 0.241923 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −13.9368 | −0.443612 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 50.9280 | 1.61942 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −34.3004 | −1.08959 | −0.544795 | − | 0.838570i | \(-0.683392\pi\) | ||||
−0.544795 | + | 0.838570i | \(0.683392\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 5.55986 | 0.176437 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −3.98177 | −0.126231 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1.04897 | −0.0332212 | −0.0166106 | − | 0.999862i | \(-0.505288\pi\) | ||||
−0.0166106 | + | 0.999862i | \(0.505288\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 11.4894 | 0.363507 |
(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 | 9196.2.a.l.1.3 | ✓ | 6 | |
11.10 | odd | 2 | 9196.2.a.m.1.3 | yes | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
9196.2.a.l.1.3 | ✓ | 6 | 1.1 | even | 1 | trivial | |
9196.2.a.m.1.3 | yes | 6 | 11.10 | odd | 2 |