Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [3675,2,Mod(1,3675)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(3675, 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("3675.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 3675 = 3 \cdot 5^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3675.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: | \(29.3450227428\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | 4.4.11344.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - 2x^{3} - 4x^{2} + 4x + 3 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 105) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(2.78165\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 3675.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.78165 | −1.25982 | −0.629910 | − | 0.776668i | \(-0.716908\pi\) | ||||
−0.629910 | + | 0.776668i | \(0.716908\pi\) | |||||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 1.17429 | 0.587145 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 1.78165 | 0.727357 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.47113 | 0.520123 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.07850 | −0.626690 | −0.313345 | − | 0.949639i | \(-0.601450\pi\) | ||||
−0.313345 | + | 0.949639i | \(0.601450\pi\) | |||||||
\(12\) | −1.17429 | −0.338988 | ||||||||
\(13\) | 3.13023 | 0.868170 | 0.434085 | − | 0.900872i | \(-0.357072\pi\) | ||||
0.434085 | + | 0.900872i | \(0.357072\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −4.96962 | −1.24241 | ||||||||
\(17\) | −2.13023 | −0.516657 | −0.258329 | − | 0.966057i | \(-0.583172\pi\) | ||||
−0.258329 | + | 0.966057i | \(0.583172\pi\) | |||||||
\(18\) | −1.78165 | −0.419940 | ||||||||
\(19\) | −7.73760 | −1.77513 | −0.887563 | − | 0.460686i | \(-0.847603\pi\) | ||||
−0.887563 | + | 0.460686i | \(0.847603\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.70316 | 0.789516 | ||||||||
\(23\) | 5.53655 | 1.15445 | 0.577225 | − | 0.816585i | \(-0.304136\pi\) | ||||
0.577225 | + | 0.816585i | \(0.304136\pi\) | |||||||
\(24\) | −1.47113 | −0.300293 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −5.57699 | −1.09374 | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.01368 | −0.745322 | −0.372661 | − | 0.927968i | \(-0.621555\pi\) | ||||
−0.372661 | + | 0.927968i | \(0.621555\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.91188 | 0.522990 | 0.261495 | − | 0.965205i | \(-0.415785\pi\) | ||||
0.261495 | + | 0.965205i | \(0.415785\pi\) | |||||||
\(32\) | 5.91188 | 1.04508 | ||||||||
\(33\) | 2.07850 | 0.361820 | ||||||||
\(34\) | 3.79533 | 0.650894 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.17429 | 0.195715 | ||||||||
\(37\) | 3.51519 | 0.577893 | 0.288947 | − | 0.957345i | \(-0.406695\pi\) | ||||
0.288947 | + | 0.957345i | \(0.406695\pi\) | |||||||
\(38\) | 13.7857 | 2.23634 | ||||||||
\(39\) | −3.13023 | −0.501238 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.99038 | 1.24789 | 0.623944 | − | 0.781469i | \(-0.285529\pi\) | ||||
0.623944 | + | 0.781469i | \(0.285529\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.99038 | −0.761026 | −0.380513 | − | 0.924776i | \(-0.624253\pi\) | ||||
−0.380513 | + | 0.924776i | \(0.624253\pi\) | |||||||
\(44\) | −2.44075 | −0.367958 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −9.86421 | −1.45440 | ||||||||
\(47\) | 2.44075 | 0.356021 | 0.178010 | − | 0.984029i | \(-0.443034\pi\) | ||||
0.178010 | + | 0.984029i | \(0.443034\pi\) | |||||||
\(48\) | 4.96962 | 0.717303 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.13023 | 0.298292 | ||||||||
\(52\) | 3.67580 | 0.509741 | ||||||||
\(53\) | 9.91188 | 1.36150 | 0.680751 | − | 0.732515i | \(-0.261654\pi\) | ||||
0.680751 | + | 0.732515i | \(0.261654\pi\) | |||||||
\(54\) | 1.78165 | 0.242452 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.73760 | 1.02487 | ||||||||
\(58\) | 7.15099 | 0.938971 | ||||||||
\(59\) | 2.95594 | 0.384831 | 0.192415 | − | 0.981314i | \(-0.438368\pi\) | ||||
0.192415 | + | 0.981314i | \(0.438368\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −10.8946 | −1.39491 | −0.697454 | − | 0.716629i | \(-0.745684\pi\) | ||||
−0.697454 | + | 0.716629i | \(0.745684\pi\) | |||||||
\(62\) | −5.18797 | −0.658873 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.593684 | −0.0742104 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −3.70316 | −0.455827 | ||||||||
\(67\) | 3.83939 | 0.469056 | 0.234528 | − | 0.972109i | \(-0.424645\pi\) | ||||
0.234528 | + | 0.972109i | \(0.424645\pi\) | |||||||
\(68\) | −2.50151 | −0.303352 | ||||||||
\(69\) | −5.53655 | −0.666522 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −15.0248 | −1.78312 | −0.891559 | − | 0.452905i | \(-0.850388\pi\) | ||||
−0.891559 | + | 0.452905i | \(0.850388\pi\) | |||||||
\(72\) | 1.47113 | 0.173374 | ||||||||
\(73\) | −8.55369 | −1.00113 | −0.500567 | − | 0.865698i | \(-0.666875\pi\) | ||||
−0.500567 | + | 0.865698i | \(0.666875\pi\) | |||||||
\(74\) | −6.26285 | −0.728041 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −9.08617 | −1.04226 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 5.57699 | 0.631470 | ||||||||
\(79\) | 8.11354 | 0.912844 | 0.456422 | − | 0.889763i | \(-0.349131\pi\) | ||||
0.456422 | + | 0.889763i | \(0.349131\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −14.2361 | −1.57211 | ||||||||
\(83\) | −8.75128 | −0.960577 | −0.480289 | − | 0.877110i | \(-0.659468\pi\) | ||||
−0.480289 | + | 0.877110i | \(0.659468\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 8.89113 | 0.958755 | ||||||||
\(87\) | 4.01368 | 0.430312 | ||||||||
\(88\) | −3.05774 | −0.325956 | ||||||||
\(89\) | 0.618661 | 0.0655779 | 0.0327890 | − | 0.999462i | \(-0.489561\pi\) | ||||
0.0327890 | + | 0.999462i | \(0.489561\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 6.50151 | 0.677829 | ||||||||
\(93\) | −2.91188 | −0.301948 | ||||||||
\(94\) | −4.34858 | −0.448522 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −5.91188 | −0.603379 | ||||||||
\(97\) | −0.296842 | −0.0301397 | −0.0150699 | − | 0.999886i | \(-0.504797\pi\) | ||||
−0.0150699 | + | 0.999886i | \(0.504797\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.07850 | −0.208897 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 8.25879 | 0.821780 | 0.410890 | − | 0.911685i | \(-0.365218\pi\) | ||||
0.410890 | + | 0.911685i | \(0.365218\pi\) | |||||||
\(102\) | −3.79533 | −0.375794 | ||||||||
\(103\) | −17.0866 | −1.68359 | −0.841797 | − | 0.539794i | \(-0.818502\pi\) | ||||
−0.841797 | + | 0.539794i | \(0.818502\pi\) | |||||||
\(104\) | 4.60498 | 0.451555 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −17.6595 | −1.71525 | ||||||||
\(107\) | 6.31052 | 0.610061 | 0.305031 | − | 0.952343i | \(-0.401333\pi\) | ||||
0.305031 | + | 0.952343i | \(0.401333\pi\) | |||||||
\(108\) | −1.17429 | −0.112996 | ||||||||
\(109\) | 2.44676 | 0.234357 | 0.117178 | − | 0.993111i | \(-0.462615\pi\) | ||||
0.117178 | + | 0.993111i | \(0.462615\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.51519 | −0.333647 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 10.1570 | 0.955489 | 0.477745 | − | 0.878499i | \(-0.341454\pi\) | ||||
0.477745 | + | 0.878499i | \(0.341454\pi\) | |||||||
\(114\) | −13.7857 | −1.29115 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −4.71322 | −0.437612 | ||||||||
\(117\) | 3.13023 | 0.289390 | ||||||||
\(118\) | −5.26647 | −0.484817 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.67986 | −0.607260 | ||||||||
\(122\) | 19.4104 | 1.75733 | ||||||||
\(123\) | −7.99038 | −0.720468 | ||||||||
\(124\) | 3.41939 | 0.307071 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.86977 | 0.787065 | 0.393532 | − | 0.919311i | \(-0.371253\pi\) | ||||
0.393532 | + | 0.919311i | \(0.371253\pi\) | |||||||
\(128\) | −10.7660 | −0.951592 | ||||||||
\(129\) | 4.99038 | 0.439378 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.34150 | 0.466689 | 0.233345 | − | 0.972394i | \(-0.425033\pi\) | ||||
0.233345 | + | 0.972394i | \(0.425033\pi\) | |||||||
\(132\) | 2.44075 | 0.212440 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −6.84047 | −0.590926 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.13385 | −0.268725 | ||||||||
\(137\) | −13.1039 | −1.11954 | −0.559772 | − | 0.828647i | \(-0.689111\pi\) | ||||
−0.559772 | + | 0.828647i | \(0.689111\pi\) | |||||||
\(138\) | 9.86421 | 0.839697 | ||||||||
\(139\) | 0.243164 | 0.0206249 | 0.0103125 | − | 0.999947i | \(-0.496717\pi\) | ||||
0.0103125 | + | 0.999947i | \(0.496717\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.44075 | −0.205549 | ||||||||
\(142\) | 26.7690 | 2.24641 | ||||||||
\(143\) | −6.50617 | −0.544073 | ||||||||
\(144\) | −4.96962 | −0.414135 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 15.2397 | 1.26125 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.12785 | 0.339307 | ||||||||
\(149\) | 2.33728 | 0.191478 | 0.0957388 | − | 0.995406i | \(-0.469479\pi\) | ||||
0.0957388 | + | 0.995406i | \(0.469479\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.1135 | −0.904407 | −0.452203 | − | 0.891915i | \(-0.649362\pi\) | ||||
−0.452203 | + | 0.891915i | \(0.649362\pi\) | |||||||
\(152\) | −11.3830 | −0.923284 | ||||||||
\(153\) | −2.13023 | −0.172219 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −3.67580 | −0.294299 | ||||||||
\(157\) | 11.3182 | 0.903291 | 0.451645 | − | 0.892198i | \(-0.350837\pi\) | ||||
0.451645 | + | 0.892198i | \(0.350837\pi\) | |||||||
\(158\) | −14.4555 | −1.15002 | ||||||||
\(159\) | −9.91188 | −0.786064 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −1.78165 | −0.139980 | ||||||||
\(163\) | −2.10347 | −0.164757 | −0.0823783 | − | 0.996601i | \(-0.526252\pi\) | ||||
−0.0823783 | + | 0.996601i | \(0.526252\pi\) | |||||||
\(164\) | 9.38302 | 0.732690 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 15.5917 | 1.21015 | ||||||||
\(167\) | −3.58600 | −0.277493 | −0.138747 | − | 0.990328i | \(-0.544307\pi\) | ||||
−0.138747 | + | 0.990328i | \(0.544307\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.20165 | −0.246281 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −7.73760 | −0.591709 | ||||||||
\(172\) | −5.86015 | −0.446832 | ||||||||
\(173\) | 15.5400 | 1.18148 | 0.590742 | − | 0.806860i | \(-0.298835\pi\) | ||||
0.590742 | + | 0.806860i | \(0.298835\pi\) | |||||||
\(174\) | −7.15099 | −0.542115 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 10.3293 | 0.778603 | ||||||||
\(177\) | −2.95594 | −0.222182 | ||||||||
\(178\) | −1.10224 | −0.0826163 | ||||||||
\(179\) | 15.7357 | 1.17614 | 0.588069 | − | 0.808811i | \(-0.299888\pi\) | ||||
0.588069 | + | 0.808811i | \(0.299888\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.98692 | −0.370675 | −0.185337 | − | 0.982675i | \(-0.559338\pi\) | ||||
−0.185337 | + | 0.982675i | \(0.559338\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 10.8946 | 0.805351 | ||||||||
\(184\) | 8.14499 | 0.600456 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 5.18797 | 0.380400 | ||||||||
\(187\) | 4.42768 | 0.323784 | ||||||||
\(188\) | 2.86615 | 0.209036 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 11.8084 | 0.854427 | 0.427213 | − | 0.904151i | \(-0.359495\pi\) | ||||
0.427213 | + | 0.904151i | \(0.359495\pi\) | |||||||
\(192\) | 0.593684 | 0.0428454 | ||||||||
\(193\) | 24.7380 | 1.78068 | 0.890342 | − | 0.455293i | \(-0.150466\pi\) | ||||
0.890342 | + | 0.455293i | \(0.150466\pi\) | |||||||
\(194\) | 0.528869 | 0.0379706 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 19.5526 | 1.39307 | 0.696533 | − | 0.717525i | \(-0.254725\pi\) | ||||
0.696533 | + | 0.717525i | \(0.254725\pi\) | |||||||
\(198\) | 3.70316 | 0.263172 | ||||||||
\(199\) | −22.2401 | −1.57656 | −0.788281 | − | 0.615315i | \(-0.789029\pi\) | ||||
−0.788281 | + | 0.615315i | \(0.789029\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −3.83939 | −0.270810 | ||||||||
\(202\) | −14.7143 | −1.03529 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 2.50151 | 0.175141 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 30.4424 | 2.12102 | ||||||||
\(207\) | 5.53655 | 0.384817 | ||||||||
\(208\) | −15.5561 | −1.07862 | ||||||||
\(209\) | 16.0826 | 1.11245 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 23.6191 | 1.62601 | 0.813003 | − | 0.582259i | \(-0.197831\pi\) | ||||
0.813003 | + | 0.582259i | \(0.197831\pi\) | |||||||
\(212\) | 11.6394 | 0.799398 | ||||||||
\(213\) | 15.0248 | 1.02948 | ||||||||
\(214\) | −11.2432 | −0.768567 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −1.47113 | −0.100098 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −4.35927 | −0.295247 | ||||||||
\(219\) | 8.55369 | 0.578005 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.66812 | −0.448546 | ||||||||
\(222\) | 6.26285 | 0.420335 | ||||||||
\(223\) | −25.1420 | −1.68363 | −0.841815 | − | 0.539765i | \(-0.818513\pi\) | ||||
−0.841815 | + | 0.539765i | \(0.818513\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −18.0962 | −1.20374 | ||||||||
\(227\) | 23.6702 | 1.57105 | 0.785524 | − | 0.618831i | \(-0.212393\pi\) | ||||
0.785524 | + | 0.618831i | \(0.212393\pi\) | |||||||
\(228\) | 9.08617 | 0.601747 | ||||||||
\(229\) | 0.406316 | 0.0268501 | 0.0134251 | − | 0.999910i | \(-0.495727\pi\) | ||||
0.0134251 | + | 0.999910i | \(0.495727\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.90465 | −0.387659 | ||||||||
\(233\) | −7.16527 | −0.469413 | −0.234706 | − | 0.972066i | \(-0.575413\pi\) | ||||
−0.234706 | + | 0.972066i | \(0.575413\pi\) | |||||||
\(234\) | −5.57699 | −0.364579 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 3.47113 | 0.225951 | ||||||||
\(237\) | −8.11354 | −0.527031 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 10.0922 | 0.652809 | 0.326404 | − | 0.945230i | \(-0.394163\pi\) | ||||
0.326404 | + | 0.945230i | \(0.394163\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.60676 | −0.296748 | −0.148374 | − | 0.988931i | \(-0.547404\pi\) | ||||
−0.148374 | + | 0.988931i | \(0.547404\pi\) | |||||||
\(242\) | 11.9012 | 0.765038 | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | −12.7934 | −0.819013 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 14.2361 | 0.907660 | ||||||||
\(247\) | −24.2205 | −1.54111 | ||||||||
\(248\) | 4.28376 | 0.272019 | ||||||||
\(249\) | 8.75128 | 0.554590 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −0.311597 | −0.0196678 | −0.00983390 | − | 0.999952i | \(-0.503130\pi\) | ||||
−0.00983390 | + | 0.999952i | \(0.503130\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −11.5077 | −0.723482 | ||||||||
\(254\) | −15.8029 | −0.991559 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 20.3687 | 1.27304 | ||||||||
\(257\) | −2.50211 | −0.156077 | −0.0780387 | − | 0.996950i | \(-0.524866\pi\) | ||||
−0.0780387 | + | 0.996950i | \(0.524866\pi\) | |||||||
\(258\) | −8.89113 | −0.553537 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −4.01368 | −0.248441 | ||||||||
\(262\) | −9.51671 | −0.587944 | ||||||||
\(263\) | −4.62511 | −0.285196 | −0.142598 | − | 0.989781i | \(-0.545546\pi\) | ||||
−0.142598 | + | 0.989781i | \(0.545546\pi\) | |||||||
\(264\) | 3.05774 | 0.188191 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.618661 | −0.0378614 | ||||||||
\(268\) | 4.50856 | 0.275404 | ||||||||
\(269\) | 12.0233 | 0.733074 | 0.366537 | − | 0.930404i | \(-0.380543\pi\) | ||||
0.366537 | + | 0.930404i | \(0.380543\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.46935 | −0.332239 | −0.166120 | − | 0.986106i | \(-0.553124\pi\) | ||||
−0.166120 | + | 0.986106i | \(0.553124\pi\) | |||||||
\(272\) | 10.5864 | 0.641898 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 23.3466 | 1.41042 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −6.50151 | −0.391345 | ||||||||
\(277\) | 29.8099 | 1.79111 | 0.895553 | − | 0.444956i | \(-0.146781\pi\) | ||||
0.895553 | + | 0.444956i | \(0.146781\pi\) | |||||||
\(278\) | −0.433235 | −0.0259837 | ||||||||
\(279\) | 2.91188 | 0.174330 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 7.78511 | 0.464421 | 0.232210 | − | 0.972666i | \(-0.425404\pi\) | ||||
0.232210 | + | 0.972666i | \(0.425404\pi\) | |||||||
\(282\) | 4.34858 | 0.258954 | ||||||||
\(283\) | −2.61444 | −0.155412 | −0.0777062 | − | 0.996976i | \(-0.524760\pi\) | ||||
−0.0777062 | + | 0.996976i | \(0.524760\pi\) | |||||||
\(284\) | −17.6435 | −1.04695 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 11.5917 | 0.685434 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 5.91188 | 0.348361 | ||||||||
\(289\) | −12.4621 | −0.733066 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.296842 | 0.0174012 | ||||||||
\(292\) | −10.0445 | −0.587810 | ||||||||
\(293\) | 12.7559 | 0.745210 | 0.372605 | − | 0.927990i | \(-0.378465\pi\) | ||||
0.372605 | + | 0.927990i | \(0.378465\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 5.17130 | 0.300576 | ||||||||
\(297\) | 2.07850 | 0.120607 | ||||||||
\(298\) | −4.16423 | −0.241227 | ||||||||
\(299\) | 17.3307 | 1.00226 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 19.8005 | 1.13939 | ||||||||
\(303\) | −8.25879 | −0.474455 | ||||||||
\(304\) | 38.4529 | 2.20543 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 3.79533 | 0.216965 | ||||||||
\(307\) | 13.1919 | 0.752900 | 0.376450 | − | 0.926437i | \(-0.377145\pi\) | ||||
0.376450 | + | 0.926437i | \(0.377145\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 17.0866 | 0.972024 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −14.2823 | −0.809873 | −0.404937 | − | 0.914345i | \(-0.632706\pi\) | ||||
−0.404937 | + | 0.914345i | \(0.632706\pi\) | |||||||
\(312\) | −4.60498 | −0.260706 | ||||||||
\(313\) | −4.77143 | −0.269697 | −0.134849 | − | 0.990866i | \(-0.543055\pi\) | ||||
−0.134849 | + | 0.990866i | \(0.543055\pi\) | |||||||
\(314\) | −20.1651 | −1.13798 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 9.52764 | 0.535971 | ||||||||
\(317\) | 18.8048 | 1.05618 | 0.528091 | − | 0.849188i | \(-0.322908\pi\) | ||||
0.528091 | + | 0.849188i | \(0.322908\pi\) | |||||||
\(318\) | 17.6595 | 0.990298 | ||||||||
\(319\) | 8.34242 | 0.467086 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −6.31052 | −0.352219 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 16.4829 | 0.917131 | ||||||||
\(324\) | 1.17429 | 0.0652383 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 3.74766 | 0.207564 | ||||||||
\(327\) | −2.44676 | −0.135306 | ||||||||
\(328\) | 11.7549 | 0.649055 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 17.7742 | 0.976956 | 0.488478 | − | 0.872576i | \(-0.337552\pi\) | ||||
0.488478 | + | 0.872576i | \(0.337552\pi\) | |||||||
\(332\) | −10.2765 | −0.563998 | ||||||||
\(333\) | 3.51519 | 0.192631 | ||||||||
\(334\) | 6.38902 | 0.349592 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.86675 | −0.210635 | −0.105318 | − | 0.994439i | \(-0.533586\pi\) | ||||
−0.105318 | + | 0.994439i | \(0.533586\pi\) | |||||||
\(338\) | 5.70423 | 0.310269 | ||||||||
\(339\) | −10.1570 | −0.551652 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −6.05234 | −0.327753 | ||||||||
\(342\) | 13.7857 | 0.745446 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −7.34150 | −0.395827 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −27.6869 | −1.48846 | ||||||||
\(347\) | −10.2725 | −0.551455 | −0.275727 | − | 0.961236i | \(-0.588919\pi\) | ||||
−0.275727 | + | 0.961236i | \(0.588919\pi\) | |||||||
\(348\) | 4.71322 | 0.252655 | ||||||||
\(349\) | 23.6180 | 1.26424 | 0.632122 | − | 0.774869i | \(-0.282184\pi\) | ||||
0.632122 | + | 0.774869i | \(0.282184\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.13023 | −0.167079 | ||||||||
\(352\) | −12.2878 | −0.654943 | ||||||||
\(353\) | −5.77759 | −0.307510 | −0.153755 | − | 0.988109i | \(-0.549137\pi\) | ||||
−0.153755 | + | 0.988109i | \(0.549137\pi\) | |||||||
\(354\) | 5.26647 | 0.279909 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0.726487 | 0.0385037 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −28.0355 | −1.48172 | ||||||||
\(359\) | 31.3054 | 1.65224 | 0.826118 | − | 0.563497i | \(-0.190544\pi\) | ||||
0.826118 | + | 0.563497i | \(0.190544\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 40.8704 | 2.15107 | ||||||||
\(362\) | 8.88497 | 0.466983 | ||||||||
\(363\) | 6.67986 | 0.350602 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −19.4104 | −1.01460 | ||||||||
\(367\) | −16.5519 | −0.864002 | −0.432001 | − | 0.901873i | \(-0.642192\pi\) | ||||
−0.432001 | + | 0.901873i | \(0.642192\pi\) | |||||||
\(368\) | −27.5146 | −1.43430 | ||||||||
\(369\) | 7.99038 | 0.415963 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −3.41939 | −0.177287 | ||||||||
\(373\) | 32.1426 | 1.66428 | 0.832140 | − | 0.554566i | \(-0.187116\pi\) | ||||
0.832140 | + | 0.554566i | \(0.187116\pi\) | |||||||
\(374\) | −7.88858 | −0.407909 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.59067 | 0.185175 | ||||||||
\(377\) | −12.5638 | −0.647066 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.98800 | −0.256216 | −0.128108 | − | 0.991760i | \(-0.540890\pi\) | ||||
−0.128108 | + | 0.991760i | \(0.540890\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −8.86977 | −0.454412 | ||||||||
\(382\) | −21.0385 | −1.07642 | ||||||||
\(383\) | 26.4568 | 1.35188 | 0.675940 | − | 0.736957i | \(-0.263738\pi\) | ||||
0.675940 | + | 0.736957i | \(0.263738\pi\) | |||||||
\(384\) | 10.7660 | 0.549402 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −44.0746 | −2.24334 | ||||||||
\(387\) | −4.99038 | −0.253675 | ||||||||
\(388\) | −0.348578 | −0.0176964 | ||||||||
\(389\) | −12.7716 | −0.647545 | −0.323773 | − | 0.946135i | \(-0.604951\pi\) | ||||
−0.323773 | + | 0.946135i | \(0.604951\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −11.7941 | −0.596455 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −5.34150 | −0.269443 | ||||||||
\(394\) | −34.8360 | −1.75501 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −2.44075 | −0.122653 | ||||||||
\(397\) | −15.1212 | −0.758912 | −0.379456 | − | 0.925210i | \(-0.623889\pi\) | ||||
−0.379456 | + | 0.925210i | \(0.623889\pi\) | |||||||
\(398\) | 39.6242 | 1.98618 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 12.3606 | 0.617258 | 0.308629 | − | 0.951182i | \(-0.400130\pi\) | ||||
0.308629 | + | 0.951182i | \(0.400130\pi\) | |||||||
\(402\) | 6.84047 | 0.341171 | ||||||||
\(403\) | 9.11487 | 0.454044 | ||||||||
\(404\) | 9.69820 | 0.482504 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −7.30630 | −0.362160 | ||||||||
\(408\) | 3.13385 | 0.155149 | ||||||||
\(409\) | −10.5287 | −0.520611 | −0.260306 | − | 0.965526i | \(-0.583823\pi\) | ||||
−0.260306 | + | 0.965526i | \(0.583823\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 13.1039 | 0.646369 | ||||||||
\(412\) | −20.0646 | −0.988513 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −9.86421 | −0.484799 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 18.5056 | 0.907310 | ||||||||
\(417\) | −0.243164 | −0.0119078 | ||||||||
\(418\) | −28.6535 | −1.40149 | ||||||||
\(419\) | 13.3110 | 0.650283 | 0.325142 | − | 0.945665i | \(-0.394588\pi\) | ||||
0.325142 | + | 0.945665i | \(0.394588\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 19.1520 | 0.933413 | 0.466707 | − | 0.884412i | \(-0.345440\pi\) | ||||
0.466707 | + | 0.884412i | \(0.345440\pi\) | |||||||
\(422\) | −42.0811 | −2.04847 | ||||||||
\(423\) | 2.44075 | 0.118674 | ||||||||
\(424\) | 14.5817 | 0.708149 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −26.7690 | −1.29696 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 7.41038 | 0.358194 | ||||||||
\(429\) | 6.50617 | 0.314121 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 10.8964 | 0.524860 | 0.262430 | − | 0.964951i | \(-0.415476\pi\) | ||||
0.262430 | + | 0.964951i | \(0.415476\pi\) | |||||||
\(432\) | 4.96962 | 0.239101 | ||||||||
\(433\) | 19.4869 | 0.936482 | 0.468241 | − | 0.883601i | \(-0.344888\pi\) | ||||
0.468241 | + | 0.883601i | \(0.344888\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.87320 | 0.137601 | ||||||||
\(437\) | −42.8396 | −2.04929 | ||||||||
\(438\) | −15.2397 | −0.728181 | ||||||||
\(439\) | 13.5310 | 0.645799 | 0.322899 | − | 0.946433i | \(-0.395342\pi\) | ||||
0.322899 | + | 0.946433i | \(0.395342\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 11.8803 | 0.565087 | ||||||||
\(443\) | 28.8663 | 1.37148 | 0.685740 | − | 0.727846i | \(-0.259479\pi\) | ||||
0.685740 | + | 0.727846i | \(0.259479\pi\) | |||||||
\(444\) | −4.12785 | −0.195899 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 44.7943 | 2.12107 | ||||||||
\(447\) | −2.33728 | −0.110550 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 23.4298 | 1.10572 | 0.552860 | − | 0.833274i | \(-0.313536\pi\) | ||||
0.552860 | + | 0.833274i | \(0.313536\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −16.6080 | −0.782039 | ||||||||
\(452\) | 11.9272 | 0.561010 | ||||||||
\(453\) | 11.1135 | 0.522159 | ||||||||
\(454\) | −42.1722 | −1.97924 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 11.3830 | 0.533059 | ||||||||
\(457\) | 30.2876 | 1.41679 | 0.708396 | − | 0.705815i | \(-0.249419\pi\) | ||||
0.708396 | + | 0.705815i | \(0.249419\pi\) | |||||||
\(458\) | −0.723915 | −0.0338263 | ||||||||
\(459\) | 2.13023 | 0.0994307 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −7.02196 | −0.327045 | −0.163523 | − | 0.986540i | \(-0.552286\pi\) | ||||
−0.163523 | + | 0.986540i | \(0.552286\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.97324 | 0.138178 | 0.0690891 | − | 0.997610i | \(-0.477991\pi\) | ||||
0.0690891 | + | 0.997610i | \(0.477991\pi\) | |||||||
\(464\) | 19.9465 | 0.925992 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 12.7660 | 0.591375 | ||||||||
\(467\) | 23.7549 | 1.09925 | 0.549623 | − | 0.835413i | \(-0.314771\pi\) | ||||
0.549623 | + | 0.835413i | \(0.314771\pi\) | |||||||
\(468\) | 3.67580 | 0.169914 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −11.3182 | −0.521515 | ||||||||
\(472\) | 4.34858 | 0.200160 | ||||||||
\(473\) | 10.3725 | 0.476927 | ||||||||
\(474\) | 14.4555 | 0.663964 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 9.91188 | 0.453834 | ||||||||
\(478\) | −17.9808 | −0.822421 | ||||||||
\(479\) | −6.54423 | −0.299013 | −0.149507 | − | 0.988761i | \(-0.547769\pi\) | ||||
−0.149507 | + | 0.988761i | \(0.547769\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 11.0034 | 0.501710 | ||||||||
\(482\) | 8.20765 | 0.373848 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.84408 | −0.356549 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 1.78165 | 0.0808174 | ||||||||
\(487\) | 16.3269 | 0.739844 | 0.369922 | − | 0.929063i | \(-0.379384\pi\) | ||||
0.369922 | + | 0.929063i | \(0.379384\pi\) | |||||||
\(488\) | −16.0274 | −0.725525 | ||||||||
\(489\) | 2.10347 | 0.0951223 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 24.9009 | 1.12376 | 0.561882 | − | 0.827218i | \(-0.310078\pi\) | ||||
0.561882 | + | 0.827218i | \(0.310078\pi\) | |||||||
\(492\) | −9.38302 | −0.423019 | ||||||||
\(493\) | 8.55007 | 0.385076 | ||||||||
\(494\) | 43.1525 | 1.94152 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −14.4710 | −0.649766 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −15.5917 | −0.698683 | ||||||||
\(499\) | −12.2039 | −0.546323 | −0.273161 | − | 0.961968i | \(-0.588069\pi\) | ||||
−0.273161 | + | 0.961968i | \(0.588069\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 3.58600 | 0.160211 | ||||||||
\(502\) | 0.555157 | 0.0247779 | ||||||||
\(503\) | −27.8165 | −1.24028 | −0.620139 | − | 0.784492i | \(-0.712924\pi\) | ||||
−0.620139 | + | 0.784492i | \(0.712924\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 20.5027 | 0.911457 | ||||||||
\(507\) | 3.20165 | 0.142190 | ||||||||
\(508\) | 10.4157 | 0.462121 | ||||||||
\(509\) | −27.8199 | −1.23309 | −0.616547 | − | 0.787318i | \(-0.711469\pi\) | ||||
−0.616547 | + | 0.787318i | \(0.711469\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −14.7579 | −0.652214 | ||||||||
\(513\) | 7.73760 | 0.341623 | ||||||||
\(514\) | 4.45789 | 0.196629 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 5.86015 | 0.257979 | ||||||||
\(517\) | −5.07310 | −0.223115 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −15.5400 | −0.682131 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 33.5026 | 1.46777 | 0.733887 | − | 0.679272i | \(-0.237704\pi\) | ||||
0.733887 | + | 0.679272i | \(0.237704\pi\) | |||||||
\(522\) | 7.15099 | 0.312990 | ||||||||
\(523\) | 12.7958 | 0.559522 | 0.279761 | − | 0.960070i | \(-0.409745\pi\) | ||||
0.279761 | + | 0.960070i | \(0.409745\pi\) | |||||||
\(524\) | 6.27247 | 0.274014 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 8.24034 | 0.359296 | ||||||||
\(527\) | −6.20299 | −0.270206 | ||||||||
\(528\) | −10.3293 | −0.449527 | ||||||||
\(529\) | 7.65336 | 0.332755 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.95594 | 0.128277 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 25.0117 | 1.08338 | ||||||||
\(534\) | 1.10224 | 0.0476986 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 5.64825 | 0.243967 | ||||||||
\(537\) | −15.7357 | −0.679044 | ||||||||
\(538\) | −21.4214 | −0.923540 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 25.2566 | 1.08587 | 0.542933 | − | 0.839776i | \(-0.317314\pi\) | ||||
0.542933 | + | 0.839776i | \(0.317314\pi\) | |||||||
\(542\) | 9.74448 | 0.418561 | ||||||||
\(543\) | 4.98692 | 0.214009 | ||||||||
\(544\) | −12.5937 | −0.539950 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −38.8743 | −1.66214 | −0.831072 | − | 0.556165i | \(-0.812272\pi\) | ||||
−0.831072 | + | 0.556165i | \(0.812272\pi\) | |||||||
\(548\) | −15.3878 | −0.657334 | ||||||||
\(549\) | −10.8946 | −0.464970 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 31.0562 | 1.32304 | ||||||||
\(552\) | −8.14499 | −0.346674 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −53.1110 | −2.25647 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.285545 | 0.0121098 | ||||||||
\(557\) | −1.36378 | −0.0577850 | −0.0288925 | − | 0.999583i | \(-0.509198\pi\) | ||||
−0.0288925 | + | 0.999583i | \(0.509198\pi\) | |||||||
\(558\) | −5.18797 | −0.219624 | ||||||||
\(559\) | −15.6210 | −0.660700 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −4.42768 | −0.186937 | ||||||||
\(562\) | −13.8704 | −0.585086 | ||||||||
\(563\) | 10.5744 | 0.445660 | 0.222830 | − | 0.974857i | \(-0.428471\pi\) | ||||
0.222830 | + | 0.974857i | \(0.428471\pi\) | |||||||
\(564\) | −2.86615 | −0.120687 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 4.65803 | 0.195791 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −22.1035 | −0.927441 | ||||||||
\(569\) | 37.9865 | 1.59248 | 0.796238 | − | 0.604983i | \(-0.206820\pi\) | ||||
0.796238 | + | 0.604983i | \(0.206820\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −15.6910 | −0.656648 | −0.328324 | − | 0.944565i | \(-0.606484\pi\) | ||||
−0.328324 | + | 0.944565i | \(0.606484\pi\) | |||||||
\(572\) | −7.64013 | −0.319450 | ||||||||
\(573\) | −11.8084 | −0.493304 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −0.593684 | −0.0247368 | ||||||||
\(577\) | −3.44809 | −0.143546 | −0.0717730 | − | 0.997421i | \(-0.522866\pi\) | ||||
−0.0717730 | + | 0.997421i | \(0.522866\pi\) | |||||||
\(578\) | 22.2032 | 0.923530 | ||||||||
\(579\) | −24.7380 | −1.02808 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −0.528869 | −0.0219223 | ||||||||
\(583\) | −20.6018 | −0.853240 | ||||||||
\(584\) | −12.5836 | −0.520713 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −22.7267 | −0.938830 | ||||||||
\(587\) | 10.5983 | 0.437441 | 0.218720 | − | 0.975788i | \(-0.429812\pi\) | ||||
0.218720 | + | 0.975788i | \(0.429812\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −22.5310 | −0.928373 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −19.5526 | −0.804287 | ||||||||
\(592\) | −17.4692 | −0.717978 | ||||||||
\(593\) | −0.234412 | −0.00962614 | −0.00481307 | − | 0.999988i | \(-0.501532\pi\) | ||||
−0.00481307 | + | 0.999988i | \(0.501532\pi\) | |||||||
\(594\) | −3.70316 | −0.151942 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 2.74464 | 0.112425 | ||||||||
\(597\) | 22.2401 | 0.910229 | ||||||||
\(598\) | −30.8773 | −1.26267 | ||||||||
\(599\) | −25.8290 | −1.05535 | −0.527673 | − | 0.849448i | \(-0.676935\pi\) | ||||
−0.527673 | + | 0.849448i | \(0.676935\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.15592 | −0.0471508 | −0.0235754 | − | 0.999722i | \(-0.507505\pi\) | ||||
−0.0235754 | + | 0.999722i | \(0.507505\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 3.83939 | 0.156352 | ||||||||
\(604\) | −13.0505 | −0.531017 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 14.7143 | 0.597727 | ||||||||
\(607\) | 23.2111 | 0.942110 | 0.471055 | − | 0.882104i | \(-0.343873\pi\) | ||||
0.471055 | + | 0.882104i | \(0.343873\pi\) | |||||||
\(608\) | −45.7438 | −1.85516 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 7.64013 | 0.309086 | ||||||||
\(612\) | −2.50151 | −0.101117 | ||||||||
\(613\) | 6.33144 | 0.255724 | 0.127862 | − | 0.991792i | \(-0.459188\pi\) | ||||
0.127862 | + | 0.991792i | \(0.459188\pi\) | |||||||
\(614\) | −23.5033 | −0.948518 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −25.9546 | −1.04489 | −0.522447 | − | 0.852672i | \(-0.674981\pi\) | ||||
−0.522447 | + | 0.852672i | \(0.674981\pi\) | |||||||
\(618\) | −30.4424 | −1.22457 | ||||||||
\(619\) | −29.0962 | −1.16948 | −0.584738 | − | 0.811222i | \(-0.698803\pi\) | ||||
−0.584738 | + | 0.811222i | \(0.698803\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −5.53655 | −0.222174 | ||||||||
\(622\) | 25.4460 | 1.02029 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 15.5561 | 0.622741 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 8.50104 | 0.339770 | ||||||||
\(627\) | −16.0826 | −0.642275 | ||||||||
\(628\) | 13.2908 | 0.530362 | ||||||||
\(629\) | −7.48816 | −0.298573 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −37.3609 | −1.48731 | −0.743657 | − | 0.668561i | \(-0.766911\pi\) | ||||
−0.743657 | + | 0.668561i | \(0.766911\pi\) | |||||||
\(632\) | 11.9361 | 0.474791 | ||||||||
\(633\) | −23.6191 | −0.938775 | ||||||||
\(634\) | −33.5036 | −1.33060 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −11.6394 | −0.461533 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −14.8633 | −0.588443 | ||||||||
\(639\) | −15.0248 | −0.594373 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −27.8535 | −1.10015 | −0.550074 | − | 0.835116i | \(-0.685400\pi\) | ||||
−0.550074 | + | 0.835116i | \(0.685400\pi\) | |||||||
\(642\) | 11.2432 | 0.443732 | ||||||||
\(643\) | 20.3104 | 0.800963 | 0.400481 | − | 0.916305i | \(-0.368843\pi\) | ||||
0.400481 | + | 0.916305i | \(0.368843\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −29.3668 | −1.15542 | ||||||||
\(647\) | −22.4329 | −0.881929 | −0.440964 | − | 0.897525i | \(-0.645364\pi\) | ||||
−0.440964 | + | 0.897525i | \(0.645364\pi\) | |||||||
\(648\) | 1.47113 | 0.0577915 | ||||||||
\(649\) | −6.14391 | −0.241170 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.47008 | −0.0967360 | ||||||||
\(653\) | −19.8051 | −0.775035 | −0.387517 | − | 0.921862i | \(-0.626667\pi\) | ||||
−0.387517 | + | 0.921862i | \(0.626667\pi\) | |||||||
\(654\) | 4.35927 | 0.170461 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −39.7092 | −1.55038 | ||||||||
\(657\) | −8.55369 | −0.333711 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 38.3567 | 1.49416 | 0.747082 | − | 0.664731i | \(-0.231454\pi\) | ||||
0.747082 | + | 0.664731i | \(0.231454\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.97492 | 0.115711 | 0.0578554 | − | 0.998325i | \(-0.481574\pi\) | ||||
0.0578554 | + | 0.998325i | \(0.481574\pi\) | |||||||
\(662\) | −31.6674 | −1.23079 | ||||||||
\(663\) | 6.66812 | 0.258968 | ||||||||
\(664\) | −12.8743 | −0.499619 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −6.26285 | −0.242680 | ||||||||
\(667\) | −22.2219 | −0.860437 | ||||||||
\(668\) | −4.21101 | −0.162929 | ||||||||
\(669\) | 25.1420 | 0.972045 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 22.6443 | 0.874175 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 22.8397 | 0.880407 | 0.440203 | − | 0.897898i | \(-0.354906\pi\) | ||||
0.440203 | + | 0.897898i | \(0.354906\pi\) | |||||||
\(674\) | 6.88921 | 0.265363 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3.75966 | −0.144602 | ||||||||
\(677\) | −7.19609 | −0.276568 | −0.138284 | − | 0.990393i | \(-0.544159\pi\) | ||||
−0.138284 | + | 0.990393i | \(0.544159\pi\) | |||||||
\(678\) | 18.0962 | 0.694982 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −23.6702 | −0.907045 | ||||||||
\(682\) | 10.7832 | 0.412909 | ||||||||
\(683\) | 4.55442 | 0.174270 | 0.0871351 | − | 0.996197i | \(-0.472229\pi\) | ||||
0.0871351 | + | 0.996197i | \(0.472229\pi\) | |||||||
\(684\) | −9.08617 | −0.347419 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −0.406316 | −0.0155019 | ||||||||
\(688\) | 24.8003 | 0.945503 | ||||||||
\(689\) | 31.0265 | 1.18202 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.53896 | 0.134628 | 0.0673142 | − | 0.997732i | \(-0.478557\pi\) | ||||
0.0673142 | + | 0.997732i | \(0.478557\pi\) | |||||||
\(692\) | 18.2485 | 0.693702 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 18.3020 | 0.694734 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 5.90465 | 0.223815 | ||||||||
\(697\) | −17.0214 | −0.644730 | ||||||||
\(698\) | −42.0791 | −1.59272 | ||||||||
\(699\) | 7.16527 | 0.271015 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −16.8111 | −0.634948 | −0.317474 | − | 0.948267i | \(-0.602835\pi\) | ||||
−0.317474 | + | 0.948267i | \(0.602835\pi\) | |||||||
\(702\) | 5.57699 | 0.210490 | ||||||||
\(703\) | −27.1991 | −1.02583 | ||||||||
\(704\) | 1.23397 | 0.0465069 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 10.2937 | 0.387407 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −3.47113 | −0.130453 | ||||||||
\(709\) | 31.8176 | 1.19494 | 0.597468 | − | 0.801893i | \(-0.296174\pi\) | ||||
0.597468 | + | 0.801893i | \(0.296174\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 8.11354 | 0.304281 | ||||||||
\(712\) | 0.910131 | 0.0341086 | ||||||||
\(713\) | 16.1218 | 0.603766 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 18.4782 | 0.690563 | ||||||||
\(717\) | −10.0922 | −0.376899 | ||||||||
\(718\) | −55.7754 | −2.08152 | ||||||||
\(719\) | 15.2807 | 0.569876 | 0.284938 | − | 0.958546i | \(-0.408027\pi\) | ||||
0.284938 | + | 0.958546i | \(0.408027\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −72.8169 | −2.70996 | ||||||||
\(723\) | 4.60676 | 0.171327 | ||||||||
\(724\) | −5.85609 | −0.217640 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −11.9012 | −0.441695 | ||||||||
\(727\) | 19.1829 | 0.711453 | 0.355726 | − | 0.934590i | \(-0.384234\pi\) | ||||
0.355726 | + | 0.934590i | \(0.384234\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 10.6307 | 0.393189 | ||||||||
\(732\) | 12.7934 | 0.472857 | ||||||||
\(733\) | 48.7218 | 1.79958 | 0.899790 | − | 0.436323i | \(-0.143719\pi\) | ||||
0.899790 | + | 0.436323i | \(0.143719\pi\) | |||||||
\(734\) | 29.4898 | 1.08849 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 32.7314 | 1.20650 | ||||||||
\(737\) | −7.98016 | −0.293953 | ||||||||
\(738\) | −14.2361 | −0.524038 | ||||||||
\(739\) | −9.48405 | −0.348876 | −0.174438 | − | 0.984668i | \(-0.555811\pi\) | ||||
−0.174438 | + | 0.984668i | \(0.555811\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 24.2205 | 0.889761 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −30.2032 | −1.10805 | −0.554023 | − | 0.832501i | \(-0.686908\pi\) | ||||
−0.554023 | + | 0.832501i | \(0.686908\pi\) | |||||||
\(744\) | −4.28376 | −0.157050 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −57.2669 | −2.09669 | ||||||||
\(747\) | −8.75128 | −0.320192 | ||||||||
\(748\) | 5.19937 | 0.190108 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.32934 | −0.267451 | −0.133726 | − | 0.991018i | \(-0.542694\pi\) | ||||
−0.133726 | + | 0.991018i | \(0.542694\pi\) | |||||||
\(752\) | −12.1296 | −0.442322 | ||||||||
\(753\) | 0.311597 | 0.0113552 | ||||||||
\(754\) | 22.3842 | 0.815186 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 14.1603 | 0.514666 | 0.257333 | − | 0.966323i | \(-0.417156\pi\) | ||||
0.257333 | + | 0.966323i | \(0.417156\pi\) | |||||||
\(758\) | 8.88688 | 0.322786 | ||||||||
\(759\) | 11.5077 | 0.417703 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −23.9183 | −0.867039 | −0.433519 | − | 0.901144i | \(-0.642728\pi\) | ||||
−0.433519 | + | 0.901144i | \(0.642728\pi\) | |||||||
\(762\) | 15.8029 | 0.572477 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 13.8665 | 0.501672 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −47.1369 | −1.70312 | ||||||||
\(767\) | 9.25278 | 0.334099 | ||||||||
\(768\) | −20.3687 | −0.734992 | ||||||||
\(769\) | 14.1358 | 0.509750 | 0.254875 | − | 0.966974i | \(-0.417966\pi\) | ||||
0.254875 | + | 0.966974i | \(0.417966\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.50211 | 0.0901113 | ||||||||
\(772\) | 29.0496 | 1.04552 | ||||||||
\(773\) | 6.75972 | 0.243130 | 0.121565 | − | 0.992583i | \(-0.461209\pi\) | ||||
0.121565 | + | 0.992583i | \(0.461209\pi\) | |||||||
\(774\) | 8.89113 | 0.319585 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −0.436693 | −0.0156764 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 22.7545 | 0.815790 | ||||||||
\(779\) | −61.8263 | −2.21516 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 31.2290 | 1.11746 | ||||||||
\(782\) | 21.0131 | 0.751425 | ||||||||
\(783\) | 4.01368 | 0.143437 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 9.51671 | 0.339450 | ||||||||
\(787\) | 15.3751 | 0.548062 | 0.274031 | − | 0.961721i | \(-0.411643\pi\) | ||||
0.274031 | + | 0.961721i | \(0.411643\pi\) | |||||||
\(788\) | 22.9604 | 0.817931 | ||||||||
\(789\) | 4.62511 | 0.164658 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −3.05774 | −0.108652 | ||||||||
\(793\) | −34.1026 | −1.21102 | ||||||||
\(794\) | 26.9408 | 0.956092 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −26.1164 | −0.925670 | ||||||||
\(797\) | −9.46785 | −0.335369 | −0.167684 | − | 0.985841i | \(-0.553629\pi\) | ||||
−0.167684 | + | 0.985841i | \(0.553629\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.19937 | −0.183941 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0.618661 | 0.0218593 | ||||||||
\(802\) | −22.0223 | −0.777634 | ||||||||
\(803\) | 17.7788 | 0.627400 | ||||||||
\(804\) | −4.50856 | −0.159004 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −16.2395 | −0.572014 | ||||||||
\(807\) | −12.0233 | −0.423240 | ||||||||
\(808\) | 12.1498 | 0.427427 | ||||||||
\(809\) | 5.63745 | 0.198202 | 0.0991011 | − | 0.995077i | \(-0.468403\pi\) | ||||
0.0991011 | + | 0.995077i | \(0.468403\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 24.3625 | 0.855485 | 0.427742 | − | 0.903901i | \(-0.359309\pi\) | ||||
0.427742 | + | 0.903901i | \(0.359309\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 5.46935 | 0.191818 | ||||||||
\(814\) | 13.0173 | 0.456256 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −10.5864 | −0.370600 | ||||||||
\(817\) | 38.6135 | 1.35092 | ||||||||
\(818\) | 18.7585 | 0.655876 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −31.7462 | −1.10795 | −0.553974 | − | 0.832534i | \(-0.686889\pi\) | ||||
−0.553974 | + | 0.832534i | \(0.686889\pi\) | |||||||
\(822\) | −23.3466 | −0.814307 | ||||||||
\(823\) | −3.97563 | −0.138582 | −0.0692908 | − | 0.997597i | \(-0.522074\pi\) | ||||
−0.0692908 | + | 0.997597i | \(0.522074\pi\) | |||||||
\(824\) | −25.1366 | −0.875677 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 6.80348 | 0.236580 | 0.118290 | − | 0.992979i | \(-0.462259\pi\) | ||||
0.118290 | + | 0.992979i | \(0.462259\pi\) | |||||||
\(828\) | 6.50151 | 0.225943 | ||||||||
\(829\) | 23.0606 | 0.800927 | 0.400463 | − | 0.916313i | \(-0.368849\pi\) | ||||
0.400463 | + | 0.916313i | \(0.368849\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −29.8099 | −1.03410 | ||||||||
\(832\) | −1.85837 | −0.0644273 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0.433235 | 0.0150017 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 18.8856 | 0.653171 | ||||||||
\(837\) | −2.91188 | −0.100649 | ||||||||
\(838\) | −23.7155 | −0.819239 | ||||||||
\(839\) | −35.0723 | −1.21083 | −0.605415 | − | 0.795910i | \(-0.706993\pi\) | ||||
−0.605415 | + | 0.795910i | \(0.706993\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −12.8904 | −0.444495 | ||||||||
\(842\) | −34.1223 | −1.17593 | ||||||||
\(843\) | −7.78511 | −0.268133 | ||||||||
\(844\) | 27.7357 | 0.954701 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −4.34858 | −0.149507 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −49.2583 | −1.69154 | ||||||||
\(849\) | 2.61444 | 0.0897274 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 19.4620 | 0.667149 | ||||||||
\(852\) | 17.6435 | 0.604456 | ||||||||
\(853\) | −12.3125 | −0.421571 | −0.210785 | − | 0.977532i | \(-0.567602\pi\) | ||||
−0.210785 | + | 0.977532i | \(0.567602\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 9.28360 | 0.317307 | ||||||||
\(857\) | 33.2498 | 1.13579 | 0.567896 | − | 0.823101i | \(-0.307758\pi\) | ||||
0.567896 | + | 0.823101i | \(0.307758\pi\) | |||||||
\(858\) | −11.5917 | −0.395736 | ||||||||
\(859\) | −3.01395 | −0.102834 | −0.0514172 | − | 0.998677i | \(-0.516374\pi\) | ||||
−0.0514172 | + | 0.998677i | \(0.516374\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −19.4136 | −0.661228 | ||||||||
\(863\) | −22.2360 | −0.756921 | −0.378460 | − | 0.925617i | \(-0.623546\pi\) | ||||
−0.378460 | + | 0.925617i | \(0.623546\pi\) | |||||||
\(864\) | −5.91188 | −0.201126 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −34.7190 | −1.17980 | ||||||||
\(867\) | 12.4621 | 0.423236 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −16.8639 | −0.572070 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 12.0182 | 0.407221 | ||||||||
\(872\) | 3.59950 | 0.121894 | ||||||||
\(873\) | −0.296842 | −0.0100466 | ||||||||
\(874\) | 76.3253 | 2.58174 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 10.0445 | 0.339372 | ||||||||
\(877\) | −14.3221 | −0.483623 | −0.241812 | − | 0.970323i | \(-0.577742\pi\) | ||||
−0.241812 | + | 0.970323i | \(0.577742\pi\) | |||||||
\(878\) | −24.1075 | −0.813590 | ||||||||
\(879\) | −12.7559 | −0.430247 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 49.9929 | 1.68431 | 0.842153 | − | 0.539239i | \(-0.181288\pi\) | ||||
0.842153 | + | 0.539239i | \(0.181288\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 44.3095 | 1.49113 | 0.745566 | − | 0.666432i | \(-0.232179\pi\) | ||||
0.745566 | + | 0.666432i | \(0.232179\pi\) | |||||||
\(884\) | −7.83030 | −0.263361 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −51.4298 | −1.72782 | ||||||||
\(887\) | −10.2985 | −0.345790 | −0.172895 | − | 0.984940i | \(-0.555312\pi\) | ||||
−0.172895 | + | 0.984940i | \(0.555312\pi\) | |||||||
\(888\) | −5.17130 | −0.173538 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −2.07850 | −0.0696322 | ||||||||
\(892\) | −29.5239 | −0.988535 | ||||||||
\(893\) | −18.8856 | −0.631981 | ||||||||
\(894\) | 4.16423 | 0.139273 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −17.3307 | −0.578654 | ||||||||
\(898\) | −41.7438 | −1.39301 | ||||||||
\(899\) | −11.6874 | −0.389796 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −21.1146 | −0.703430 | ||||||||
\(902\) | 29.5896 | 0.985227 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 14.9423 | 0.496972 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −19.8005 | −0.657827 | ||||||||
\(907\) | 29.4280 | 0.977139 | 0.488570 | − | 0.872525i | \(-0.337519\pi\) | ||||
0.488570 | + | 0.872525i | \(0.337519\pi\) | |||||||
\(908\) | 27.7957 | 0.922433 | ||||||||
\(909\) | 8.25879 | 0.273927 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −24.8078 | −0.821918 | −0.410959 | − | 0.911654i | \(-0.634806\pi\) | ||||
−0.410959 | + | 0.911654i | \(0.634806\pi\) | |||||||
\(912\) | −38.4529 | −1.27330 | ||||||||
\(913\) | 18.1895 | 0.601984 | ||||||||
\(914\) | −53.9619 | −1.78490 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.477133 | 0.0157649 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −3.79533 | −0.125265 | ||||||||
\(919\) | 13.0093 | 0.429138 | 0.214569 | − | 0.976709i | \(-0.431165\pi\) | ||||
0.214569 | + | 0.976709i | \(0.431165\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −13.1919 | −0.434687 | ||||||||
\(922\) | 12.5107 | 0.412018 | ||||||||
\(923\) | −47.0312 | −1.54805 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −5.29729 | −0.174080 | ||||||||
\(927\) | −17.0866 | −0.561198 | ||||||||
\(928\) | −23.7284 | −0.778924 | ||||||||
\(929\) | 24.9185 | 0.817549 | 0.408775 | − | 0.912635i | \(-0.365956\pi\) | ||||
0.408775 | + | 0.912635i | \(0.365956\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −8.41410 | −0.275613 | ||||||||
\(933\) | 14.2823 | 0.467580 | ||||||||
\(934\) | −42.3230 | −1.38485 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 4.60498 | 0.150518 | ||||||||
\(937\) | 55.1260 | 1.80089 | 0.900444 | − | 0.434973i | \(-0.143242\pi\) | ||||
0.900444 | + | 0.434973i | \(0.143242\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 4.77143 | 0.155710 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 13.6447 | 0.444803 | 0.222402 | − | 0.974955i | \(-0.428610\pi\) | ||||
0.222402 | + | 0.974955i | \(0.428610\pi\) | |||||||
\(942\) | 20.1651 | 0.657015 | ||||||||
\(943\) | 44.2391 | 1.44062 | ||||||||
\(944\) | −14.6899 | −0.478116 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −18.4802 | −0.600842 | ||||||||
\(947\) | 0.893089 | 0.0290215 | 0.0145107 | − | 0.999895i | \(-0.495381\pi\) | ||||
0.0145107 | + | 0.999895i | \(0.495381\pi\) | |||||||
\(948\) | −9.52764 | −0.309443 | ||||||||
\(949\) | −26.7750 | −0.869154 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −18.8048 | −0.609787 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −34.5636 | −1.11963 | −0.559813 | − | 0.828619i | \(-0.689127\pi\) | ||||
−0.559813 | + | 0.828619i | \(0.689127\pi\) | |||||||
\(954\) | −17.6595 | −0.571749 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 11.8511 | 0.383293 | ||||||||
\(957\) | −8.34242 | −0.269672 | ||||||||
\(958\) | 11.6595 | 0.376703 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −22.5209 | −0.726481 | ||||||||
\(962\) | −19.6042 | −0.632064 | ||||||||
\(963\) | 6.31052 | 0.203354 | ||||||||
\(964\) | −5.40967 | −0.174234 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −22.1811 | −0.713296 | −0.356648 | − | 0.934239i | \(-0.616080\pi\) | ||||
−0.356648 | + | 0.934239i | \(0.616080\pi\) | |||||||
\(968\) | −9.82694 | −0.315850 | ||||||||
\(969\) | −16.4829 | −0.529506 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 0.0759319 | 0.00243677 | 0.00121839 | − | 0.999999i | \(-0.499612\pi\) | ||||
0.00121839 | + | 0.999999i | \(0.499612\pi\) | |||||||
\(972\) | −1.17429 | −0.0376653 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −29.0889 | −0.932069 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 54.1420 | 1.73304 | ||||||||
\(977\) | 43.2114 | 1.38246 | 0.691228 | − | 0.722636i | \(-0.257070\pi\) | ||||
0.691228 | + | 0.722636i | \(0.257070\pi\) | |||||||
\(978\) | −3.74766 | −0.119837 | ||||||||
\(979\) | −1.28588 | −0.0410970 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.44676 | 0.0781189 | ||||||||
\(982\) | −44.3648 | −1.41574 | ||||||||
\(983\) | 18.3208 | 0.584343 | 0.292171 | − | 0.956366i | \(-0.405622\pi\) | ||||
0.292171 | + | 0.956366i | \(0.405622\pi\) | |||||||
\(984\) | −11.7549 | −0.374732 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −15.2333 | −0.485126 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −28.4418 | −0.904855 | ||||||||
\(989\) | −27.6295 | −0.878566 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −31.5776 | −1.00310 | −0.501548 | − | 0.865130i | \(-0.667236\pi\) | ||||
−0.501548 | + | 0.865130i | \(0.667236\pi\) | |||||||
\(992\) | 17.2147 | 0.546568 | ||||||||
\(993\) | −17.7742 | −0.564046 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 10.2765 | 0.325624 | ||||||||
\(997\) | −39.7315 | −1.25831 | −0.629154 | − | 0.777281i | \(-0.716599\pi\) | ||||
−0.629154 | + | 0.777281i | \(0.716599\pi\) | |||||||
\(998\) | 21.7432 | 0.688268 | ||||||||
\(999\) | −3.51519 | −0.111216 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))