Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [5808,2,Mod(1,5808)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(5808, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 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("5808.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 5808 = 2^{4} \cdot 3 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5808.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: | \(46.3771134940\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{10})^+\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{2} - x - 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 33) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(1.61803\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 5808.1 |
$q$-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 | ||||||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.61803 | −1.17082 | −0.585410 | − | 0.810737i | \(-0.699067\pi\) | ||||
−0.585410 | + | 0.810737i | \(0.699067\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.00000 | −1.13389 | −0.566947 | − | 0.823754i | \(-0.691875\pi\) | ||||
−0.566947 | + | 0.823754i | \(0.691875\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.76393 | 0.489227 | 0.244613 | − | 0.969621i | \(-0.421339\pi\) | ||||
0.244613 | + | 0.969621i | \(0.421339\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.61803 | 0.675973 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.61803 | 0.392431 | 0.196215 | − | 0.980561i | \(-0.437135\pi\) | ||||
0.196215 | + | 0.980561i | \(0.437135\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.85410 | −1.34302 | −0.671512 | − | 0.740994i | \(-0.734355\pi\) | ||||
−0.671512 | + | 0.740994i | \(0.734355\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.00000 | 0.654654 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.47214 | −0.723990 | −0.361995 | − | 0.932180i | \(-0.617904\pi\) | ||||
−0.361995 | + | 0.932180i | \(0.617904\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.85410 | 0.370820 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.47214 | 0.830455 | 0.415227 | − | 0.909718i | \(-0.363702\pi\) | ||||
0.415227 | + | 0.909718i | \(0.363702\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.85410 | −0.512612 | −0.256306 | − | 0.966596i | \(-0.582505\pi\) | ||||
−0.256306 | + | 0.966596i | \(0.582505\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 7.85410 | 1.32759 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.236068 | 0.0388093 | 0.0194047 | − | 0.999812i | \(-0.493823\pi\) | ||||
0.0194047 | + | 0.999812i | \(0.493823\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.76393 | −0.282455 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −11.9443 | −1.86538 | −0.932691 | − | 0.360677i | \(-0.882546\pi\) | ||||
−0.932691 | + | 0.360677i | \(0.882546\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.23607 | −0.950991 | −0.475496 | − | 0.879718i | \(-0.657731\pi\) | ||||
−0.475496 | + | 0.879718i | \(0.657731\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.61803 | −0.390273 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −1.61803 | −0.236015 | −0.118007 | − | 0.993013i | \(-0.537651\pi\) | ||||
−0.118007 | + | 0.993013i | \(0.537651\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.00000 | 0.285714 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.61803 | −0.226570 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −9.61803 | −1.32114 | −0.660569 | − | 0.750765i | \(-0.729685\pi\) | ||||
−0.660569 | + | 0.750765i | \(0.729685\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 5.85410 | 0.775395 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −10.3262 | −1.34436 | −0.672181 | − | 0.740387i | \(-0.734642\pi\) | ||||
−0.672181 | + | 0.740387i | \(0.734642\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.85410 | 1.00561 | 0.502807 | − | 0.864398i | \(-0.332301\pi\) | ||||
0.502807 | + | 0.864398i | \(0.332301\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −3.00000 | −0.377964 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −4.61803 | −0.572797 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.56231 | 1.16822 | 0.584111 | − | 0.811674i | \(-0.301443\pi\) | ||||
0.584111 | + | 0.811674i | \(0.301443\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.47214 | 0.417996 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.56231 | 0.660124 | 0.330062 | − | 0.943959i | \(-0.392930\pi\) | ||||
0.330062 | + | 0.943959i | \(0.392930\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.23607 | −0.378753 | −0.189377 | − | 0.981905i | \(-0.560647\pi\) | ||||
−0.189377 | + | 0.981905i | \(0.560647\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.85410 | −0.214093 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −9.47214 | −1.06570 | −0.532849 | − | 0.846210i | \(-0.678879\pi\) | ||||
−0.532849 | + | 0.846210i | \(0.678879\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.708204 | −0.0777355 | −0.0388677 | − | 0.999244i | \(-0.512375\pi\) | ||||
−0.0388677 | + | 0.999244i | \(0.512375\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.23607 | −0.459466 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −4.47214 | −0.479463 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.527864 | 0.0559535 | 0.0279767 | − | 0.999609i | \(-0.491094\pi\) | ||||
0.0279767 | + | 0.999609i | \(0.491094\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.29180 | −0.554731 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 2.85410 | 0.295957 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 15.3262 | 1.57244 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −14.0344 | −1.42498 | −0.712491 | − | 0.701681i | \(-0.752433\pi\) | ||||
−0.712491 | + | 0.701681i | \(0.752433\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.00000 | −0.298511 | −0.149256 | − | 0.988799i | \(-0.547688\pi\) | ||||
−0.149256 | + | 0.988799i | \(0.547688\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.00000 | 0.591198 | 0.295599 | − | 0.955312i | \(-0.404481\pi\) | ||||
0.295599 | + | 0.955312i | \(0.404481\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −7.85410 | −0.766482 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 4.23607 | 0.409516 | 0.204758 | − | 0.978813i | \(-0.434359\pi\) | ||||
0.204758 | + | 0.978813i | \(0.434359\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.236068 | −0.0224066 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.708204 | 0.0666222 | 0.0333111 | − | 0.999445i | \(-0.489395\pi\) | ||||
0.0333111 | + | 0.999445i | \(0.489395\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 9.09017 | 0.847663 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.76393 | 0.163076 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −4.85410 | −0.444975 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 11.9443 | 1.07698 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 8.23607 | 0.736656 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.70820 | 0.329050 | 0.164525 | − | 0.986373i | \(-0.447391\pi\) | ||||
0.164525 | + | 0.986373i | \(0.447391\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 6.23607 | 0.549055 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.14590 | 0.624340 | 0.312170 | − | 0.950026i | \(-0.398944\pi\) | ||||
0.312170 | + | 0.950026i | \(0.398944\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 17.5623 | 1.52285 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.61803 | 0.225324 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 7.47214 | 0.638388 | 0.319194 | − | 0.947689i | \(-0.396588\pi\) | ||||
0.319194 | + | 0.947689i | \(0.396588\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.854102 | 0.0724440 | 0.0362220 | − | 0.999344i | \(-0.488468\pi\) | ||||
0.0362220 | + | 0.999344i | \(0.488468\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.61803 | 0.136263 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −11.7082 | −0.972313 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −2.00000 | −0.164957 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 15.0000 | 1.22885 | 0.614424 | − | 0.788976i | \(-0.289388\pi\) | ||||
0.614424 | + | 0.788976i | \(0.289388\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.00000 | −0.162758 | −0.0813788 | − | 0.996683i | \(-0.525932\pi\) | ||||
−0.0813788 | + | 0.996683i | \(0.525932\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.61803 | 0.130810 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 7.47214 | 0.600176 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.70820 | −0.295947 | −0.147973 | − | 0.988991i | \(-0.547275\pi\) | ||||
−0.147973 | + | 0.988991i | \(0.547275\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 9.61803 | 0.762760 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 10.4164 | 0.820928 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −18.2705 | −1.43106 | −0.715528 | − | 0.698584i | \(-0.753814\pi\) | ||||
−0.715528 | + | 0.698584i | \(0.753814\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −10.0344 | −0.776488 | −0.388244 | − | 0.921557i | \(-0.626918\pi\) | ||||
−0.388244 | + | 0.921557i | \(0.626918\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.88854 | −0.760657 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.85410 | −0.447674 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 15.3820 | 1.16947 | 0.584735 | − | 0.811225i | \(-0.301199\pi\) | ||||
0.584735 | + | 0.811225i | \(0.301199\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.56231 | −0.420471 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 10.3262 | 0.776168 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 2.23607 | 0.167132 | 0.0835658 | − | 0.996502i | \(-0.473369\pi\) | ||||
0.0835658 | + | 0.996502i | \(0.473369\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −17.4721 | −1.29869 | −0.649347 | − | 0.760492i | \(-0.724958\pi\) | ||||
−0.649347 | + | 0.760492i | \(0.724958\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −7.85410 | −0.580592 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.618034 | −0.0454388 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 3.00000 | 0.218218 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 7.47214 | 0.540665 | 0.270332 | − | 0.962767i | \(-0.412866\pi\) | ||||
0.270332 | + | 0.962767i | \(0.412866\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −18.5623 | −1.33614 | −0.668072 | − | 0.744097i | \(-0.732880\pi\) | ||||
−0.668072 | + | 0.744097i | \(0.732880\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 4.61803 | 0.330704 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 24.3820 | 1.73714 | 0.868572 | − | 0.495564i | \(-0.165039\pi\) | ||||
0.868572 | + | 0.495564i | \(0.165039\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 16.7082 | 1.18441 | 0.592207 | − | 0.805786i | \(-0.298257\pi\) | ||||
0.592207 | + | 0.805786i | \(0.298257\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −9.56231 | −0.674473 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −13.4164 | −0.941647 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 31.2705 | 2.18403 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −3.47214 | −0.241330 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 22.2705 | 1.53317 | 0.766583 | − | 0.642146i | \(-0.221956\pi\) | ||||
0.766583 | + | 0.642146i | \(0.221956\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −5.56231 | −0.381123 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 16.3262 | 1.11344 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 8.56231 | 0.581247 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 3.23607 | 0.218673 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.85410 | 0.191988 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.708204 | −0.0474248 | −0.0237124 | − | 0.999719i | \(-0.507549\pi\) | ||||
−0.0237124 | + | 0.999719i | \(0.507549\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.85410 | 0.123607 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 24.8885 | 1.65191 | 0.825955 | − | 0.563736i | \(-0.190636\pi\) | ||||
0.825955 | + | 0.563736i | \(0.190636\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 10.0000 | 0.660819 | 0.330409 | − | 0.943838i | \(-0.392813\pi\) | ||||
0.330409 | + | 0.943838i | \(0.392813\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 24.3262 | 1.59366 | 0.796832 | − | 0.604200i | \(-0.206507\pi\) | ||||
0.796832 | + | 0.604200i | \(0.206507\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.23607 | 0.276331 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 9.47214 | 0.615281 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −2.56231 | −0.165742 | −0.0828709 | − | 0.996560i | \(-0.526409\pi\) | ||||
−0.0828709 | + | 0.996560i | \(0.526409\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −23.1246 | −1.48959 | −0.744794 | − | 0.667295i | \(-0.767452\pi\) | ||||
−0.744794 | + | 0.667295i | \(0.767452\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −5.23607 | −0.334520 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −10.3262 | −0.657043 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.708204 | 0.0448806 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 7.79837 | 0.492229 | 0.246114 | − | 0.969241i | \(-0.420846\pi\) | ||||
0.246114 | + | 0.969241i | \(0.420846\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 4.23607 | 0.265273 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −11.6738 | −0.728189 | −0.364095 | − | 0.931362i | \(-0.618622\pi\) | ||||
−0.364095 | + | 0.931362i | \(0.618622\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.708204 | −0.0440057 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 4.47214 | 0.276818 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 16.3262 | 1.00672 | 0.503359 | − | 0.864077i | \(-0.332097\pi\) | ||||
0.503359 | + | 0.864077i | \(0.332097\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 25.1803 | 1.54682 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.527864 | −0.0323048 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 15.5279 | 0.946751 | 0.473375 | − | 0.880861i | \(-0.343035\pi\) | ||||
0.473375 | + | 0.880861i | \(0.343035\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 27.2705 | 1.65657 | 0.828283 | − | 0.560310i | \(-0.189318\pi\) | ||||
0.828283 | + | 0.560310i | \(0.189318\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 5.29180 | 0.320274 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 30.5623 | 1.83631 | 0.918155 | − | 0.396220i | \(-0.129678\pi\) | ||||
0.918155 | + | 0.396220i | \(0.129678\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −2.85410 | −0.170871 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.763932 | −0.0455724 | −0.0227862 | − | 0.999740i | \(-0.507254\pi\) | ||||
−0.0227862 | + | 0.999740i | \(0.507254\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.180340 | −0.0107201 | −0.00536005 | − | 0.999986i | \(-0.501706\pi\) | ||||
−0.00536005 | + | 0.999986i | \(0.501706\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −15.3262 | −0.907848 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 35.8328 | 2.11514 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.3820 | −0.845998 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 14.0344 | 0.822714 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 0.0557281 | 0.00325567 | 0.00162783 | − | 0.999999i | \(-0.499482\pi\) | ||||
0.00162783 | + | 0.999999i | \(0.499482\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 27.0344 | 1.57401 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −6.12461 | −0.354195 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 18.7082 | 1.07832 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 3.00000 | 0.172345 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −20.5623 | −1.17739 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.562306 | −0.0320925 | −0.0160462 | − | 0.999871i | \(-0.505108\pi\) | ||||
−0.0160462 | + | 0.999871i | \(0.505108\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −6.00000 | −0.341328 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −2.52786 | −0.143342 | −0.0716710 | − | 0.997428i | \(-0.522833\pi\) | ||||
−0.0716710 | + | 0.997428i | \(0.522833\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 25.8328 | 1.46016 | 0.730079 | − | 0.683363i | \(-0.239483\pi\) | ||||
0.730079 | + | 0.683363i | \(0.239483\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 7.85410 | 0.442529 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −19.3607 | −1.08740 | −0.543702 | − | 0.839278i | \(-0.682978\pi\) | ||||
−0.543702 | + | 0.839278i | \(0.682978\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −4.23607 | −0.236434 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −9.47214 | −0.527044 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.27051 | 0.181415 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 4.85410 | 0.267615 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −26.5967 | −1.46189 | −0.730945 | − | 0.682437i | \(-0.760920\pi\) | ||||
−0.730945 | + | 0.682437i | \(0.760920\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.236068 | 0.0129364 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −25.0344 | −1.36778 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.291796 | −0.0158951 | −0.00794757 | − | 0.999968i | \(-0.502530\pi\) | ||||
−0.00794757 | + | 0.999968i | \(0.502530\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.708204 | −0.0384644 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.0000 | 0.809924 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −9.09017 | −0.489398 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 20.9443 | 1.12435 | 0.562174 | − | 0.827019i | \(-0.309965\pi\) | ||||
0.562174 | + | 0.827019i | \(0.309965\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −10.1246 | −0.541958 | −0.270979 | − | 0.962585i | \(-0.587347\pi\) | ||||
−0.270979 | + | 0.962585i | \(0.587347\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.76393 | −0.0941517 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −10.4721 | −0.557376 | −0.278688 | − | 0.960382i | \(-0.589899\pi\) | ||||
−0.278688 | + | 0.960382i | \(0.589899\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −14.5623 | −0.772887 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 4.85410 | 0.256906 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 12.7639 | 0.673655 | 0.336827 | − | 0.941566i | \(-0.390646\pi\) | ||||
0.336827 | + | 0.941566i | \(0.390646\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.2705 | 0.803711 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 8.47214 | 0.443452 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.56231 | −0.290350 | −0.145175 | − | 0.989406i | \(-0.546375\pi\) | ||||
−0.145175 | + | 0.989406i | \(0.546375\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −11.9443 | −0.621794 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 28.8541 | 1.49803 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.41641 | −0.228673 | −0.114336 | − | 0.993442i | \(-0.536474\pi\) | ||||
−0.114336 | + | 0.993442i | \(0.536474\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −8.23607 | −0.425309 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 7.88854 | 0.406281 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.58359 | −0.0813437 | −0.0406718 | − | 0.999173i | \(-0.512950\pi\) | ||||
−0.0406718 | + | 0.999173i | \(0.512950\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.70820 | −0.189977 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −26.8885 | −1.37394 | −0.686970 | − | 0.726686i | \(-0.741060\pi\) | ||||
−0.686970 | + | 0.726686i | \(0.741060\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −6.23607 | −0.316997 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 24.2705 | 1.23056 | 0.615282 | − | 0.788307i | \(-0.289042\pi\) | ||||
0.615282 | + | 0.788307i | \(0.289042\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.61803 | −0.284116 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −7.14590 | −0.360463 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 24.7984 | 1.24774 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −38.7082 | −1.94271 | −0.971355 | − | 0.237635i | \(-0.923628\pi\) | ||||
−0.971355 | + | 0.237635i | \(0.923628\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −17.5623 | −0.879215 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −26.0902 | −1.30288 | −0.651440 | − | 0.758700i | \(-0.725835\pi\) | ||||
−0.651440 | + | 0.758700i | \(0.725835\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.03444 | −0.250783 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −2.61803 | −0.130091 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −11.0557 | −0.546671 | −0.273335 | − | 0.961919i | \(-0.588127\pi\) | ||||
−0.273335 | + | 0.961919i | \(0.588127\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −7.47214 | −0.368573 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 30.9787 | 1.52436 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.85410 | 0.0910143 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −0.854102 | −0.0418256 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −16.5066 | −0.806399 | −0.403200 | − | 0.915112i | \(-0.632102\pi\) | ||||
−0.403200 | + | 0.915112i | \(0.632102\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −37.2705 | −1.81645 | −0.908227 | − | 0.418478i | \(-0.862564\pi\) | ||||
−0.908227 | + | 0.418478i | \(0.862564\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −1.61803 | −0.0786715 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 3.00000 | 0.145521 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −23.5623 | −1.14026 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 39.5066 | 1.90296 | 0.951482 | − | 0.307703i | \(-0.0995603\pi\) | ||||
0.951482 | + | 0.307703i | \(0.0995603\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.00000 | −0.288342 | −0.144171 | − | 0.989553i | \(-0.546051\pi\) | ||||
−0.144171 | + | 0.989553i | \(0.546051\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 11.7082 | 0.561365 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 20.3262 | 0.972336 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.29180 | −0.157109 | −0.0785544 | − | 0.996910i | \(-0.525030\pi\) | ||||
−0.0785544 | + | 0.996910i | \(0.525030\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.00000 | 0.0952381 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 41.1246 | 1.95389 | 0.976945 | − | 0.213493i | \(-0.0684840\pi\) | ||||
0.976945 | + | 0.213493i | \(0.0684840\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.38197 | −0.0655115 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −15.0000 | −0.709476 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −24.4721 | −1.15491 | −0.577456 | − | 0.816422i | \(-0.695954\pi\) | ||||
−0.577456 | + | 0.816422i | \(0.695954\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 2.00000 | 0.0939682 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 13.8541 | 0.649490 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.20163 | 0.383656 | 0.191828 | − | 0.981429i | \(-0.438558\pi\) | ||||
0.191828 | + | 0.981429i | \(0.438558\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −1.61803 | −0.0755234 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −21.0902 | −0.982267 | −0.491134 | − | 0.871084i | \(-0.663417\pi\) | ||||
−0.491134 | + | 0.871084i | \(0.663417\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.7984 | 0.734213 | 0.367106 | − | 0.930179i | \(-0.380349\pi\) | ||||
0.367106 | + | 0.930179i | \(0.380349\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −7.47214 | −0.346512 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 9.76393 | 0.451821 | 0.225910 | − | 0.974148i | \(-0.427464\pi\) | ||||
0.225910 | + | 0.974148i | \(0.427464\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −28.6869 | −1.32464 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 3.70820 | 0.170865 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.8541 | −0.498020 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −9.61803 | −0.440380 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 28.0902 | 1.28347 | 0.641736 | − | 0.766925i | \(-0.278214\pi\) | ||||
0.641736 | + | 0.766925i | \(0.278214\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.416408 | 0.0189866 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −10.4164 | −0.473963 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 36.7426 | 1.66840 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.8197 | −0.762172 | −0.381086 | − | 0.924540i | \(-0.624450\pi\) | ||||
−0.381086 | + | 0.924540i | \(0.624450\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 18.2705 | 0.826221 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −25.2148 | −1.13793 | −0.568964 | − | 0.822363i | \(-0.692655\pi\) | ||||
−0.568964 | + | 0.822363i | \(0.692655\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7.23607 | 0.325896 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −16.6869 | −0.748511 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 17.5623 | 0.786197 | 0.393098 | − | 0.919496i | \(-0.371403\pi\) | ||||
0.393098 | + | 0.919496i | \(0.371403\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 10.0344 | 0.448306 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −28.0689 | −1.25153 | −0.625765 | − | 0.780012i | \(-0.715213\pi\) | ||||
−0.625765 | + | 0.780012i | \(0.715213\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.85410 | 0.349503 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 9.88854 | 0.439166 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 23.6180 | 1.04685 | 0.523425 | − | 0.852071i | \(-0.324654\pi\) | ||||
0.523425 | + | 0.852071i | \(0.324654\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 9.70820 | 0.429466 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 5.85410 | 0.258465 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −15.7082 | −0.692186 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −15.3820 | −0.675193 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −14.8328 | −0.649837 | −0.324919 | − | 0.945742i | \(-0.605337\pi\) | ||||
−0.324919 | + | 0.945742i | \(0.605337\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.9787 | 0.523793 | 0.261896 | − | 0.965096i | \(-0.415652\pi\) | ||||
0.261896 | + | 0.965096i | \(0.415652\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 5.56231 | 0.242759 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −4.61803 | −0.201165 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −10.9443 | −0.475838 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −10.3262 | −0.448121 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −21.0689 | −0.912595 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −11.0902 | −0.479470 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −2.23607 | −0.0964935 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 19.5623 | 0.841049 | 0.420525 | − | 0.907281i | \(-0.361846\pi\) | ||||
0.420525 | + | 0.907281i | \(0.361846\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 17.4721 | 0.749801 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −21.6180 | −0.924320 | −0.462160 | − | 0.886796i | \(-0.652925\pi\) | ||||
−0.462160 | + | 0.886796i | \(0.652925\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 7.85410 | 0.335205 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −26.1803 | −1.11532 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 28.4164 | 1.20839 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.618034 | 0.0262341 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 14.9098 | 0.631750 | 0.315875 | − | 0.948801i | \(-0.397702\pi\) | ||||
0.315875 | + | 0.948801i | \(0.397702\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −11.0000 | −0.465250 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 8.88854 | 0.374607 | 0.187304 | − | 0.982302i | \(-0.440025\pi\) | ||||
0.187304 | + | 0.982302i | \(0.440025\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.85410 | −0.0780027 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −3.00000 | −0.125988 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −24.0689 | −1.00902 | −0.504510 | − | 0.863406i | \(-0.668327\pi\) | ||||
−0.504510 | + | 0.863406i | \(0.668327\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −34.6869 | −1.45160 | −0.725801 | − | 0.687905i | \(-0.758531\pi\) | ||||
−0.725801 | + | 0.687905i | \(0.758531\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −7.47214 | −0.312153 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −6.43769 | −0.268470 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 10.7639 | 0.448108 | 0.224054 | − | 0.974577i | \(-0.428071\pi\) | ||||
0.224054 | + | 0.974577i | \(0.428071\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 18.5623 | 0.771423 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 2.12461 | 0.0881437 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −4.61803 | −0.190932 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 38.3050 | 1.58101 | 0.790507 | − | 0.612453i | \(-0.209817\pi\) | ||||
0.790507 | + | 0.612453i | \(0.209817\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 16.7082 | 0.688450 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −24.3820 | −1.00294 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 22.2148 | 0.912252 | 0.456126 | − | 0.889915i | \(-0.349237\pi\) | ||||
0.456126 | + | 0.889915i | \(0.349237\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 12.7082 | 0.520986 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −16.7082 | −0.683821 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 8.29180 | 0.338794 | 0.169397 | − | 0.985548i | \(-0.445818\pi\) | ||||
0.169397 | + | 0.985548i | \(0.445818\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 33.8328 | 1.38007 | 0.690035 | − | 0.723776i | \(-0.257595\pi\) | ||||
0.690035 | + | 0.723776i | \(0.257595\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 9.56231 | 0.389407 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −13.3262 | −0.540895 | −0.270448 | − | 0.962735i | \(-0.587172\pi\) | ||||
−0.270448 | + | 0.962735i | \(0.587172\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 13.4164 | 0.543660 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −2.85410 | −0.115465 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 34.6525 | 1.39960 | 0.699800 | − | 0.714339i | \(-0.253272\pi\) | ||||
0.699800 | + | 0.714339i | \(0.253272\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −31.2705 | −1.26095 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 19.5836 | 0.788406 | 0.394203 | − | 0.919023i | \(-0.371021\pi\) | ||||
0.394203 | + | 0.919023i | \(0.371021\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 8.81966 | 0.354492 | 0.177246 | − | 0.984167i | \(-0.443281\pi\) | ||||
0.177246 | + | 0.984167i | \(0.443281\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 3.47214 | 0.139332 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −1.58359 | −0.0634453 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −30.8328 | −1.23331 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0.381966 | 0.0152300 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −46.2705 | −1.84200 | −0.921000 | − | 0.389563i | \(-0.872626\pi\) | ||||
−0.921000 | + | 0.389563i | \(0.872626\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −22.2705 | −0.885173 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −9.70820 | −0.385258 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.52786 | 0.139779 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 5.56231 | 0.220041 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 35.7426 | 1.41175 | 0.705875 | − | 0.708337i | \(-0.250554\pi\) | ||||
0.705875 | + | 0.708337i | \(0.250554\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 38.5623 | 1.52075 | 0.760374 | − | 0.649485i | \(-0.225015\pi\) | ||||
0.760374 | + | 0.649485i | \(0.225015\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −16.3262 | −0.642845 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −27.7984 | −1.09287 | −0.546433 | − | 0.837503i | \(-0.684015\pi\) | ||||
−0.546433 | + | 0.837503i | \(0.684015\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −8.56231 | −0.335583 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 51.0344 | 1.99713 | 0.998566 | − | 0.0535342i | \(-0.0170486\pi\) | ||||
0.998566 | + | 0.0535342i | \(0.0170486\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −18.7082 | −0.730990 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −3.23607 | −0.126251 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 10.6525 | 0.414962 | 0.207481 | − | 0.978239i | \(-0.433474\pi\) | ||||
0.207481 | + | 0.978239i | \(0.433474\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −9.90983 | −0.385448 | −0.192724 | − | 0.981253i | \(-0.561732\pi\) | ||||
−0.192724 | + | 0.981253i | \(0.561732\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −2.85410 | −0.110844 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −45.9787 | −1.78298 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −15.5279 | −0.601241 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0.708204 | 0.0273807 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.4164 | 0.478617 | 0.239309 | − | 0.970944i | \(-0.423079\pi\) | ||||
0.239309 | + | 0.970944i | \(0.423079\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −1.85410 | −0.0713644 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 13.5279 | 0.519918 | 0.259959 | − | 0.965620i | \(-0.416291\pi\) | ||||
0.259959 | + | 0.965620i | \(0.416291\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 42.1033 | 1.61578 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −24.8885 | −0.953731 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 3.11146 | 0.119057 | 0.0595283 | − | 0.998227i | \(-0.481040\pi\) | ||||
0.0595283 | + | 0.998227i | \(0.481040\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −19.5623 | −0.747437 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −10.0000 | −0.381524 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −16.9656 | −0.646336 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 26.2918 | 1.00019 | 0.500094 | − | 0.865971i | \(-0.333299\pi\) | ||||
0.500094 | + | 0.865971i | \(0.333299\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −2.23607 | −0.0848189 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −19.3262 | −0.732033 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −24.3262 | −0.920103 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −10.6869 | −0.403639 | −0.201820 | − | 0.979423i | \(-0.564685\pi\) | ||||
−0.201820 | + | 0.979423i | \(0.564685\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.38197 | −0.0521218 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −4.23607 | −0.159540 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 9.00000 | 0.338480 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 48.7426 | 1.83057 | 0.915284 | − | 0.402809i | \(-0.131966\pi\) | ||||
0.915284 | + | 0.402809i | \(0.131966\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −9.47214 | −0.355233 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 9.90983 | 0.371126 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 2.56231 | 0.0956911 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 1.58359 | 0.0590580 | 0.0295290 | − | 0.999564i | \(-0.490599\pi\) | ||||
0.0295290 | + | 0.999564i | \(0.490599\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −18.0000 | −0.670355 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 23.1246 | 0.860014 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 8.29180 | 0.307950 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −38.8541 | −1.44102 | −0.720509 | − | 0.693445i | \(-0.756092\pi\) | ||||
−0.720509 | + | 0.693445i | \(0.756092\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −10.0902 | −0.373198 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −37.7082 | −1.39278 | −0.696392 | − | 0.717661i | \(-0.745213\pi\) | ||||
−0.696392 | + | 0.717661i | \(0.745213\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 5.23607 | 0.193135 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 25.0000 | 0.919640 | 0.459820 | − | 0.888012i | \(-0.347914\pi\) | ||||
0.459820 | + | 0.888012i | \(0.347914\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 10.3262 | 0.379344 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −35.1803 | −1.29064 | −0.645321 | − | 0.763912i | \(-0.723276\pi\) | ||||
−0.645321 | + | 0.763912i | \(0.723276\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −39.2705 | −1.43876 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −0.708204 | −0.0259118 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −12.7082 | −0.464348 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11.9230 | −0.435076 | −0.217538 | − | 0.976052i | \(-0.569803\pi\) | ||||
−0.217538 | + | 0.976052i | \(0.569803\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −7.79837 | −0.284189 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 5.23607 | 0.190560 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.94427 | 0.0706658 | 0.0353329 | − | 0.999376i | \(-0.488751\pi\) | ||||
0.0353329 | + | 0.999376i | \(0.488751\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −30.8885 | −1.11971 | −0.559854 | − | 0.828591i | \(-0.689143\pi\) | ||||
−0.559854 | + | 0.828591i | \(0.689143\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −4.23607 | −0.153155 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −18.2148 | −0.657698 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 12.6869 | 0.457502 | 0.228751 | − | 0.973485i | \(-0.426536\pi\) | ||||
0.228751 | + | 0.973485i | \(0.426536\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 11.6738 | 0.420420 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −31.2492 | −1.12396 | −0.561978 | − | 0.827152i | \(-0.689960\pi\) | ||||
−0.561978 | + | 0.827152i | \(0.689960\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −5.29180 | −0.190087 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.708204 | 0.0254067 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 69.9230 | 2.50525 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −4.47214 | −0.159821 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 9.70820 | 0.346501 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 10.2918 | 0.366863 | 0.183431 | − | 0.983033i | \(-0.441279\pi\) | ||||
0.183431 | + | 0.983033i | \(0.441279\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −16.3262 | −0.581229 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −2.12461 | −0.0755425 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 13.8541 | 0.491974 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −25.1803 | −0.893055 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 10.7639 | 0.381278 | 0.190639 | − | 0.981660i | \(-0.438944\pi\) | ||||
0.190639 | + | 0.981660i | \(0.438944\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.61803 | −0.0926194 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0.527864 | 0.0186512 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −27.2705 | −0.961159 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −15.5279 | −0.546607 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 9.67376 | 0.340111 | 0.170056 | − | 0.985434i | \(-0.445605\pi\) | ||||
0.170056 | + | 0.985434i | \(0.445605\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −3.25735 | −0.114381 | −0.0571906 | − | 0.998363i | \(-0.518214\pi\) | ||||
−0.0571906 | + | 0.998363i | \(0.518214\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −27.2705 | −0.956419 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 47.8328 | 1.67551 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 36.5066 | 1.27720 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −5.29180 | −0.184910 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 40.4164 | 1.41054 | 0.705271 | − | 0.708938i | \(-0.250825\pi\) | ||||
0.705271 | + | 0.708938i | \(0.250825\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 35.4721 | 1.23648 | 0.618240 | − | 0.785989i | \(-0.287846\pi\) | ||||
0.618240 | + | 0.785989i | \(0.287846\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −53.1246 | −1.84732 | −0.923662 | − | 0.383208i | \(-0.874819\pi\) | ||||
−0.923662 | + | 0.383208i | \(0.874819\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 17.6869 | 0.614292 | 0.307146 | − | 0.951662i | \(-0.400626\pi\) | ||||
0.307146 | + | 0.951662i | \(0.400626\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −30.5623 | −1.06019 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 3.23607 | 0.112123 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 26.2705 | 0.909128 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 2.85410 | 0.0986522 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 36.7082 | 1.26731 | 0.633654 | − | 0.773617i | \(-0.281554\pi\) | ||||
0.633654 | + | 0.773617i | \(0.281554\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −9.00000 | −0.310345 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.763932 | 0.0263112 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 25.8885 | 0.890593 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0.180340 | 0.00618925 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.819660 | −0.0280976 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −9.94427 | −0.340485 | −0.170243 | − | 0.985402i | \(-0.554455\pi\) | ||||
−0.170243 | + | 0.985402i | \(0.554455\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 15.3262 | 0.524146 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 47.7214 | 1.63013 | 0.815065 | − | 0.579369i | \(-0.196701\pi\) | ||||
0.815065 | + | 0.579369i | \(0.196701\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −7.11146 | −0.242640 | −0.121320 | − | 0.992613i | \(-0.538713\pi\) | ||||
−0.121320 | + | 0.992613i | \(0.538713\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −35.8328 | −1.22118 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −11.8885 | −0.404691 | −0.202345 | − | 0.979314i | \(-0.564856\pi\) | ||||
−0.202345 | + | 0.979314i | \(0.564856\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −40.2705 | −1.36924 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 14.3820 | 0.488437 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 16.8673 | 0.571525 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −14.0344 | −0.474994 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −24.7082 | −0.835290 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.41641 | 0.216667 | 0.108333 | − | 0.994115i | \(-0.465449\pi\) | ||||
0.108333 | + | 0.994115i | \(0.465449\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −0.0557281 | −0.00187966 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 13.9098 | 0.468634 | 0.234317 | − | 0.972160i | \(-0.424715\pi\) | ||||
0.234317 | + | 0.972160i | \(0.424715\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −10.5836 | −0.356166 | −0.178083 | − | 0.984015i | \(-0.556990\pi\) | ||||
−0.178083 | + | 0.984015i | \(0.556990\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −27.0344 | −0.908753 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −3.00000 | −0.100730 | −0.0503651 | − | 0.998731i | \(-0.516038\pi\) | ||||
−0.0503651 | + | 0.998731i | \(0.516038\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −11.1246 | −0.373108 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 9.47214 | 0.316973 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −5.85410 | −0.195681 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 6.12461 | 0.204495 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −12.7639 | −0.425701 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −15.5623 | −0.518456 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −18.7082 | −0.622570 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 45.7426 | 1.52054 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 42.9787 | 1.42708 | 0.713542 | − | 0.700612i | \(-0.247090\pi\) | ||||
0.713542 | + | 0.700612i | \(0.247090\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −3.00000 | −0.0995037 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −18.0557 | −0.598213 | −0.299106 | − | 0.954220i | \(-0.596689\pi\) | ||||
−0.299106 | + | 0.954220i | \(0.596689\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 20.5623 | 0.679769 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −21.4377 | −0.707935 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −46.9574 | −1.54898 | −0.774491 | − | 0.632585i | \(-0.781994\pi\) | ||||
−0.774491 | + | 0.632585i | \(0.781994\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.562306 | 0.0185286 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 9.81153 | 0.322950 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.437694 | 0.0143913 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 6.00000 | 0.197066 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −32.8885 | −1.07904 | −0.539519 | − | 0.841973i | \(-0.681394\pi\) | ||||
−0.539519 | + | 0.841973i | \(0.681394\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −11.7082 | −0.383721 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 2.52786 | 0.0827586 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −16.5967 | −0.542192 | −0.271096 | − | 0.962552i | \(-0.587386\pi\) | ||||
−0.271096 | + | 0.962552i | \(0.587386\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −25.8328 | −0.843022 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −44.6312 | −1.45494 | −0.727468 | − | 0.686142i | \(-0.759303\pi\) | ||||
−0.727468 | + | 0.686142i | \(0.759303\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 41.4721 | 1.35052 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −7.85410 | −0.255494 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −18.3262 | −0.595523 | −0.297761 | − | 0.954640i | \(-0.596240\pi\) | ||||
−0.297761 | + | 0.954640i | \(0.596240\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −5.70820 | −0.185296 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 19.3607 | 0.627813 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 37.8197 | 1.22510 | 0.612549 | − | 0.790432i | \(-0.290144\pi\) | ||||
0.612549 | + | 0.790432i | \(0.290144\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −19.5623 | −0.633021 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −22.4164 | −0.723864 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −22.8541 | −0.737229 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 4.23607 | 0.136505 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 48.5967 | 1.56438 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 34.6869 | 1.11546 | 0.557728 | − | 0.830024i | \(-0.311673\pi\) | ||||
0.557728 | + | 0.830024i | \(0.311673\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 9.47214 | 0.304289 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −37.7771 | −1.21232 | −0.606162 | − | 0.795341i | \(-0.707292\pi\) | ||||
−0.606162 | + | 0.795341i | \(0.707292\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.56231 | −0.0821438 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −3.27051 | −0.104740 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −4.63932 | −0.148425 | −0.0742125 | − | 0.997242i | \(-0.523644\pi\) | ||||
−0.0742125 | + | 0.997242i | \(0.523644\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 27.3050 | 0.870893 | 0.435446 | − | 0.900215i | \(-0.356591\pi\) | ||||
0.435446 | + | 0.900215i | \(0.356591\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −63.8328 | −2.03388 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −4.85410 | −0.154508 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 21.6525 | 0.688509 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −21.2705 | −0.675680 | −0.337840 | − | 0.941204i | \(-0.609696\pi\) | ||||
−0.337840 | + | 0.941204i | \(0.609696\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 26.5967 | 0.844022 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −43.7426 | −1.38674 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −12.9787 | −0.411040 | −0.205520 | − | 0.978653i | \(-0.565889\pi\) | ||||
−0.205520 | + | 0.978653i | \(0.565889\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −0.236068 | −0.00746886 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))