Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1352,2,Mod(1,1352)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1352, 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("1352.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1352 = 2^{3} \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1352.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: | \(10.7957743533\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\sqrt{17}) \) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x - 4 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 104) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(-1.56155\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1352.1 |
$q$-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 | ||||||||
\(3\) | −1.56155 | −0.901563 | −0.450781 | − | 0.892634i | \(-0.648855\pi\) | ||||
−0.450781 | + | 0.892634i | \(0.648855\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −3.56155 | −1.59277 | −0.796387 | − | 0.604787i | \(-0.793258\pi\) | ||||
−0.796387 | + | 0.604787i | \(0.793258\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.56155 | −0.590211 | −0.295106 | − | 0.955465i | \(-0.595355\pi\) | ||||
−0.295106 | + | 0.955465i | \(0.595355\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.561553 | −0.187184 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.12311 | −0.941652 | −0.470826 | − | 0.882226i | \(-0.656044\pi\) | ||||
−0.470826 | + | 0.882226i | \(0.656044\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 5.56155 | 1.43599 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −6.68466 | −1.62127 | −0.810634 | − | 0.585553i | \(-0.800877\pi\) | ||||
−0.810634 | + | 0.585553i | \(0.800877\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.12311 | 0.716490 | 0.358245 | − | 0.933628i | \(-0.383375\pi\) | ||||
0.358245 | + | 0.933628i | \(0.383375\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.43845 | 0.532113 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −8.00000 | −1.66812 | −0.834058 | − | 0.551677i | \(-0.813988\pi\) | ||||
−0.834058 | + | 0.551677i | \(0.813988\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 7.68466 | 1.53693 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.56155 | 1.07032 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.00000 | −0.371391 | −0.185695 | − | 0.982607i | \(-0.559454\pi\) | ||||
−0.185695 | + | 0.982607i | \(0.559454\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.00000 | −0.718421 | −0.359211 | − | 0.933257i | \(-0.616954\pi\) | ||||
−0.359211 | + | 0.933257i | \(0.616954\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 4.87689 | 0.848958 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 5.56155 | 0.940074 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.68466 | 0.441355 | 0.220678 | − | 0.975347i | \(-0.429173\pi\) | ||||
0.220678 | + | 0.975347i | \(0.429173\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −5.12311 | −0.800095 | −0.400047 | − | 0.916494i | \(-0.631006\pi\) | ||||
−0.400047 | + | 0.916494i | \(0.631006\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 9.56155 | 1.45812 | 0.729062 | − | 0.684448i | \(-0.239957\pi\) | ||||
0.729062 | + | 0.684448i | \(0.239957\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.00000 | 0.298142 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 12.6847 | 1.85025 | 0.925124 | − | 0.379666i | \(-0.123961\pi\) | ||||
0.925124 | + | 0.379666i | \(0.123961\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.56155 | −0.651650 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 10.4384 | 1.46167 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −5.12311 | −0.703713 | −0.351856 | − | 0.936054i | \(-0.614449\pi\) | ||||
−0.351856 | + | 0.936054i | \(0.614449\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 11.1231 | 1.49984 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.87689 | −0.645960 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.12311 | 0.406594 | 0.203297 | − | 0.979117i | \(-0.434834\pi\) | ||||
0.203297 | + | 0.979117i | \(0.434834\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.87689 | 0.368349 | 0.184174 | − | 0.982894i | \(-0.441039\pi\) | ||||
0.184174 | + | 0.982894i | \(0.441039\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.876894 | 0.110478 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.12311 | −0.381548 | −0.190774 | − | 0.981634i | \(-0.561100\pi\) | ||||
−0.190774 | + | 0.981634i | \(0.561100\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 12.4924 | 1.50391 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.68466 | −0.555967 | −0.277983 | − | 0.960586i | \(-0.589666\pi\) | ||||
−0.277983 | + | 0.960586i | \(0.589666\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.00000 | 0.702247 | 0.351123 | − | 0.936329i | \(-0.385800\pi\) | ||||
0.351123 | + | 0.936329i | \(0.385800\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −12.0000 | −1.38564 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.87689 | 0.555774 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.00000 | 0.900070 | 0.450035 | − | 0.893011i | \(-0.351411\pi\) | ||||
0.450035 | + | 0.893011i | \(0.351411\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.00000 | −0.777778 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 14.2462 | 1.56372 | 0.781862 | − | 0.623451i | \(-0.214270\pi\) | ||||
0.781862 | + | 0.623451i | \(0.214270\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 23.8078 | 2.58231 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.12311 | 0.334832 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −10.0000 | −1.06000 | −0.529999 | − | 0.847998i | \(-0.677808\pi\) | ||||
−0.529999 | + | 0.847998i | \(0.677808\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.24621 | 0.647702 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −11.1231 | −1.14121 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.24621 | −0.837276 | −0.418638 | − | 0.908153i | \(-0.637492\pi\) | ||||
−0.418638 | + | 0.908153i | \(0.637492\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.75379 | 0.176262 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.12311 | 0.111753 | 0.0558766 | − | 0.998438i | \(-0.482205\pi\) | ||||
0.0558766 | + | 0.998438i | \(0.482205\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −14.2462 | −1.40372 | −0.701860 | − | 0.712314i | \(-0.747647\pi\) | ||||
−0.701860 | + | 0.712314i | \(0.747647\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −8.68466 | −0.847536 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 4.00000 | 0.386695 | 0.193347 | − | 0.981130i | \(-0.438066\pi\) | ||||
0.193347 | + | 0.981130i | \(0.438066\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −17.8078 | −1.70567 | −0.852837 | − | 0.522177i | \(-0.825120\pi\) | ||||
−0.852837 | + | 0.522177i | \(0.825120\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.19224 | −0.397909 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 14.4924 | 1.36333 | 0.681666 | − | 0.731663i | \(-0.261256\pi\) | ||||
0.681666 | + | 0.731663i | \(0.261256\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 28.4924 | 2.65693 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 10.4384 | 0.956891 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.24621 | −0.113292 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 8.00000 | 0.721336 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.56155 | −0.855211 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.24621 | 0.554262 | 0.277131 | − | 0.960832i | \(-0.410616\pi\) | ||||
0.277131 | + | 0.960832i | \(0.410616\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −14.9309 | −1.31459 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 15.8078 | 1.38113 | 0.690565 | − | 0.723270i | \(-0.257362\pi\) | ||||
0.690565 | + | 0.723270i | \(0.257362\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.87689 | −0.422880 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −19.8078 | −1.70478 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −5.12311 | −0.437696 | −0.218848 | − | 0.975759i | \(-0.570230\pi\) | ||||
−0.218848 | + | 0.975759i | \(0.570230\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.68466 | −0.397348 | −0.198674 | − | 0.980066i | \(-0.563663\pi\) | ||||
−0.198674 | + | 0.980066i | \(0.563663\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −19.8078 | −1.66811 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 7.12311 | 0.591542 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 7.12311 | 0.587504 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.246211 | 0.0201704 | 0.0100852 | − | 0.999949i | \(-0.496790\pi\) | ||||
0.0100852 | + | 0.999949i | \(0.496790\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −6.43845 | −0.523953 | −0.261977 | − | 0.965074i | \(-0.584374\pi\) | ||||
−0.261977 | + | 0.965074i | \(0.584374\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 3.75379 | 0.303476 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 14.2462 | 1.14428 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.4924 | 0.837386 | 0.418693 | − | 0.908128i | \(-0.362488\pi\) | ||||
0.418693 | + | 0.908128i | \(0.362488\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 8.00000 | 0.634441 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 12.4924 | 0.984541 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −12.4924 | −0.978482 | −0.489241 | − | 0.872149i | \(-0.662726\pi\) | ||||
−0.489241 | + | 0.872149i | \(0.662726\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −17.3693 | −1.35220 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.24621 | 0.173817 | 0.0869085 | − | 0.996216i | \(-0.472301\pi\) | ||||
0.0869085 | + | 0.996216i | \(0.472301\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.75379 | −0.134116 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −13.1231 | −0.997731 | −0.498866 | − | 0.866679i | \(-0.666250\pi\) | ||||
−0.498866 | + | 0.866679i | \(0.666250\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −12.0000 | −0.907115 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.87689 | −0.366570 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −4.68466 | −0.350148 | −0.175074 | − | 0.984555i | \(-0.556016\pi\) | ||||
−0.175074 | + | 0.984555i | \(0.556016\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −14.8769 | −1.10579 | −0.552895 | − | 0.833251i | \(-0.686477\pi\) | ||||
−0.552895 | + | 0.833251i | \(0.686477\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −4.49242 | −0.332089 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −9.56155 | −0.702979 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 20.8769 | 1.52667 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −8.68466 | −0.631716 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −9.36932 | −0.677940 | −0.338970 | − | 0.940797i | \(-0.610079\pi\) | ||||
−0.338970 | + | 0.940797i | \(0.610079\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.36932 | −0.242529 | −0.121264 | − | 0.992620i | \(-0.538695\pi\) | ||||
−0.121264 | + | 0.992620i | \(0.538695\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −14.6847 | −1.04624 | −0.523119 | − | 0.852259i | \(-0.675232\pi\) | ||||
−0.523119 | + | 0.852259i | \(0.675232\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.12311 | −0.221391 | −0.110696 | − | 0.993854i | \(-0.535308\pi\) | ||||
−0.110696 | + | 0.993854i | \(0.535308\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 4.87689 | 0.343990 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 3.12311 | 0.219199 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 18.2462 | 1.27437 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 4.49242 | 0.312245 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −9.75379 | −0.674684 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.31534 | 0.228238 | 0.114119 | − | 0.993467i | \(-0.463596\pi\) | ||||
0.114119 | + | 0.993467i | \(0.463596\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 7.31534 | 0.501239 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −34.0540 | −2.32246 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.24621 | 0.424020 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −9.36932 | −0.633120 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.31534 | 0.222012 | 0.111006 | − | 0.993820i | \(-0.464593\pi\) | ||||
0.111006 | + | 0.993820i | \(0.464593\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −4.31534 | −0.287689 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 8.00000 | 0.530979 | 0.265489 | − | 0.964114i | \(-0.414466\pi\) | ||||
0.265489 | + | 0.964114i | \(0.414466\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 13.8078 | 0.912443 | 0.456221 | − | 0.889866i | \(-0.349203\pi\) | ||||
0.456221 | + | 0.889866i | \(0.349203\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −7.61553 | −0.501065 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 13.8078 | 0.904577 | 0.452288 | − | 0.891872i | \(-0.350608\pi\) | ||||
0.452288 | + | 0.891872i | \(0.350608\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −45.1771 | −2.94703 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −12.4924 | −0.811470 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1.56155 | −0.101008 | −0.0505042 | − | 0.998724i | \(-0.516083\pi\) | ||||
−0.0505042 | + | 0.998724i | \(0.516083\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 20.2462 | 1.30417 | 0.652087 | − | 0.758145i | \(-0.273894\pi\) | ||||
0.652087 | + | 0.758145i | \(0.273894\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −5.75379 | −0.369106 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 16.2462 | 1.03793 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −22.2462 | −1.40980 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 5.75379 | 0.363176 | 0.181588 | − | 0.983375i | \(-0.441876\pi\) | ||||
0.181588 | + | 0.983375i | \(0.441876\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 24.9848 | 1.57078 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −37.1771 | −2.32812 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 15.5616 | 0.970703 | 0.485351 | − | 0.874319i | \(-0.338692\pi\) | ||||
0.485351 | + | 0.874319i | \(0.338692\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.19224 | −0.260493 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.12311 | 0.0695185 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −9.75379 | −0.601444 | −0.300722 | − | 0.953712i | \(-0.597228\pi\) | ||||
−0.300722 | + | 0.953712i | \(0.597228\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 18.2462 | 1.12086 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 15.6155 | 0.955655 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −13.1231 | −0.800130 | −0.400065 | − | 0.916487i | \(-0.631012\pi\) | ||||
−0.400065 | + | 0.916487i | \(0.631012\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.192236 | 0.0116775 | 0.00583875 | − | 0.999983i | \(-0.498141\pi\) | ||||
0.00583875 | + | 0.999983i | \(0.498141\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −24.0000 | −1.44725 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.63068 | 0.278231 | 0.139115 | − | 0.990276i | \(-0.455574\pi\) | ||||
0.139115 | + | 0.990276i | \(0.455574\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 2.24621 | 0.134477 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −10.0000 | −0.596550 | −0.298275 | − | 0.954480i | \(-0.596411\pi\) | ||||
−0.298275 | + | 0.954480i | \(0.596411\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 24.4924 | 1.45592 | 0.727962 | − | 0.685618i | \(-0.240468\pi\) | ||||
0.727962 | + | 0.685618i | \(0.240468\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 17.3693 | 1.02887 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 8.00000 | 0.472225 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 27.6847 | 1.62851 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 12.8769 | 0.754857 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −19.5616 | −1.14280 | −0.571399 | − | 0.820672i | \(-0.693599\pi\) | ||||
−0.571399 | + | 0.820672i | \(0.693599\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −11.1231 | −0.647612 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −17.3693 | −1.00787 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −14.9309 | −0.860601 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −1.75379 | −0.100753 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −10.2462 | −0.586696 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.87689 | −0.278339 | −0.139170 | − | 0.990269i | \(-0.544443\pi\) | ||||
−0.139170 | + | 0.990269i | \(0.544443\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 22.2462 | 1.26554 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −19.1231 | −1.08437 | −0.542186 | − | 0.840259i | \(-0.682403\pi\) | ||||
−0.542186 | + | 0.840259i | \(0.682403\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.19224 | 0.350006 | 0.175003 | − | 0.984568i | \(-0.444007\pi\) | ||||
0.175003 | + | 0.984568i | \(0.444007\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −3.12311 | −0.175967 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −4.24621 | −0.238491 | −0.119245 | − | 0.992865i | \(-0.538048\pi\) | ||||
−0.119245 | + | 0.992865i | \(0.538048\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 6.24621 | 0.349721 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −6.24621 | −0.348630 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −20.8769 | −1.16162 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 27.8078 | 1.53777 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −19.8078 | −1.09204 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −28.4924 | −1.56609 | −0.783043 | − | 0.621968i | \(-0.786333\pi\) | ||||
−0.783043 | + | 0.621968i | \(0.786333\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −1.50758 | −0.0826147 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 11.1231 | 0.607720 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −33.8078 | −1.84163 | −0.920813 | − | 0.390004i | \(-0.872474\pi\) | ||||
−0.920813 | + | 0.390004i | \(0.872474\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −22.6307 | −1.22913 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.4924 | 0.676503 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.0540 | 0.974823 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −44.4924 | −2.39539 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −4.68466 | −0.251486 | −0.125743 | − | 0.992063i | \(-0.540131\pi\) | ||||
−0.125743 | + | 0.992063i | \(0.540131\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 16.9309 | 0.906289 | 0.453144 | − | 0.891437i | \(-0.350302\pi\) | ||||
0.453144 | + | 0.891437i | \(0.350302\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 15.3693 | 0.818026 | 0.409013 | − | 0.912529i | \(-0.365873\pi\) | ||||
0.409013 | + | 0.912529i | \(0.365873\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 16.6847 | 0.885530 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −16.3002 | −0.862697 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 2.24621 | 0.118550 | 0.0592752 | − | 0.998242i | \(-0.481121\pi\) | ||||
0.0592752 | + | 0.998242i | \(0.481121\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.24621 | −0.486643 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 1.94602 | 0.102140 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −21.3693 | −1.11852 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −31.6155 | −1.65032 | −0.825159 | − | 0.564901i | \(-0.808914\pi\) | ||||
−0.825159 | + | 0.564901i | \(0.808914\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 2.87689 | 0.149765 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 8.00000 | 0.415339 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 29.6155 | 1.53343 | 0.766717 | − | 0.641985i | \(-0.221889\pi\) | ||||
0.766717 | + | 0.641985i | \(0.221889\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 14.9309 | 0.771027 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −22.2462 | −1.14271 | −0.571356 | − | 0.820703i | \(-0.693582\pi\) | ||||
−0.571356 | + | 0.820703i | \(0.693582\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −9.75379 | −0.499702 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 31.8078 | 1.62530 | 0.812650 | − | 0.582752i | \(-0.198024\pi\) | ||||
0.812650 | + | 0.582752i | \(0.198024\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −17.3693 | −0.885222 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −5.36932 | −0.272938 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −28.7386 | −1.45711 | −0.728553 | − | 0.684989i | \(-0.759807\pi\) | ||||
−0.728553 | + | 0.684989i | \(0.759807\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 53.4773 | 2.70446 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −24.6847 | −1.24518 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −28.4924 | −1.43361 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.00000 | 0.100377 | 0.0501886 | − | 0.998740i | \(-0.484018\pi\) | ||||
0.0501886 | + | 0.998740i | \(0.484018\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 7.61553 | 0.381253 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 37.6155 | 1.87843 | 0.939215 | − | 0.343330i | \(-0.111555\pi\) | ||||
0.939215 | + | 0.343330i | \(0.111555\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 24.9309 | 1.23882 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −8.38447 | −0.415603 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −21.1231 | −1.04447 | −0.522235 | − | 0.852802i | \(-0.674902\pi\) | ||||
−0.522235 | + | 0.852802i | \(0.674902\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 8.00000 | 0.394611 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −4.87689 | −0.239976 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −50.7386 | −2.49066 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 7.31534 | 0.358234 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 26.9309 | 1.31566 | 0.657830 | − | 0.753167i | \(-0.271475\pi\) | ||||
0.657830 | + | 0.753167i | \(0.271475\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 18.6847 | 0.910635 | 0.455317 | − | 0.890329i | \(-0.349526\pi\) | ||||
0.455317 | + | 0.890329i | \(0.349526\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −7.12311 | −0.346337 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −51.3693 | −2.49178 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.49242 | −0.217404 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 14.4384 | 0.695476 | 0.347738 | − | 0.937592i | \(-0.386950\pi\) | ||||
0.347738 | + | 0.937592i | \(0.386950\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 39.1771 | 1.88273 | 0.941365 | − | 0.337389i | \(-0.109544\pi\) | ||||
0.941365 | + | 0.337389i | \(0.109544\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −11.1231 | −0.533312 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −24.9848 | −1.19519 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 12.8769 | 0.614581 | 0.307290 | − | 0.951616i | \(-0.400578\pi\) | ||||
0.307290 | + | 0.951616i | \(0.400578\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.56155 | 0.121979 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 0.192236 | 0.00913340 | 0.00456670 | − | 0.999990i | \(-0.498546\pi\) | ||||
0.00456670 | + | 0.999990i | \(0.498546\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 35.6155 | 1.68834 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −0.384472 | −0.0181849 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 16.7386 | 0.789945 | 0.394972 | − | 0.918693i | \(-0.370754\pi\) | ||||
0.394972 | + | 0.918693i | \(0.370754\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 16.0000 | 0.753411 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 10.0540 | 0.472377 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 24.7386 | 1.15722 | 0.578612 | − | 0.815603i | \(-0.303594\pi\) | ||||
0.578612 | + | 0.815603i | \(0.303594\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −37.1771 | −1.73528 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 14.1922 | 0.660998 | 0.330499 | − | 0.943806i | \(-0.392783\pi\) | ||||
0.330499 | + | 0.943806i | \(0.392783\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −21.7538 | −1.01098 | −0.505492 | − | 0.862831i | \(-0.668689\pi\) | ||||
−0.505492 | + | 0.862831i | \(0.668689\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −22.2462 | −1.03164 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 7.50758 | 0.347409 | 0.173705 | − | 0.984798i | \(-0.444426\pi\) | ||||
0.173705 | + | 0.984798i | \(0.444426\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 4.87689 | 0.225194 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −16.3845 | −0.754957 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −29.8617 | −1.37304 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 24.0000 | 1.10120 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2.87689 | 0.131724 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −31.8078 | −1.45333 | −0.726667 | − | 0.686990i | \(-0.758932\pi\) | ||||
−0.726667 | + | 0.686990i | \(0.758932\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −19.5076 | −0.887626 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 29.3693 | 1.33359 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −18.2462 | −0.826815 | −0.413407 | − | 0.910546i | \(-0.635661\pi\) | ||||
−0.413407 | + | 0.910546i | \(0.635661\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 19.5076 | 0.882163 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 38.0540 | 1.71735 | 0.858676 | − | 0.512519i | \(-0.171288\pi\) | ||||
0.858676 | + | 0.512519i | \(0.171288\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 13.3693 | 0.602124 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −6.24621 | −0.280746 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 7.31534 | 0.328138 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.49242 | 0.201108 | 0.100554 | − | 0.994932i | \(-0.467938\pi\) | ||||
0.100554 | + | 0.994932i | \(0.467938\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.50758 | −0.156707 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 17.3693 | 0.774460 | 0.387230 | − | 0.921983i | \(-0.373432\pi\) | ||||
0.387230 | + | 0.921983i | \(0.373432\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −4.00000 | −0.177998 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 18.0000 | 0.797836 | 0.398918 | − | 0.916987i | \(-0.369386\pi\) | ||||
0.398918 | + | 0.916987i | \(0.369386\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −9.36932 | −0.414474 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 17.3693 | 0.766874 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 50.7386 | 2.23581 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −39.6155 | −1.74229 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 20.4924 | 0.899518 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 2.68466 | 0.117617 | 0.0588085 | − | 0.998269i | \(-0.481270\pi\) | ||||
0.0588085 | + | 0.998269i | \(0.481270\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 32.4924 | 1.42079 | 0.710397 | − | 0.703801i | \(-0.248515\pi\) | ||||
0.710397 | + | 0.703801i | \(0.248515\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 18.7386 | 0.817821 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 26.7386 | 1.16475 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 41.0000 | 1.78261 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.75379 | −0.0761079 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −14.2462 | −0.615917 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 7.31534 | 0.315680 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 14.2462 | 0.613628 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6.68466 | −0.287396 | −0.143698 | − | 0.989622i | \(-0.545899\pi\) | ||||
−0.143698 | + | 0.989622i | \(0.545899\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 23.2311 | 0.996940 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 63.4233 | 2.71676 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −33.5616 | −1.43499 | −0.717494 | − | 0.696564i | \(-0.754711\pi\) | ||||
−0.717494 | + | 0.696564i | \(0.754711\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −1.61553 | −0.0689491 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.24621 | −0.266098 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −12.4924 | −0.531232 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 14.9309 | 0.633780 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −3.17708 | −0.134617 | −0.0673086 | − | 0.997732i | \(-0.521441\pi\) | ||||
−0.0673086 | + | 0.997732i | \(0.521441\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −32.6004 | −1.37639 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 30.0540 | 1.26662 | 0.633312 | − | 0.773897i | \(-0.281695\pi\) | ||||
0.633312 | + | 0.773897i | \(0.281695\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −51.6155 | −2.17148 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 10.9309 | 0.459053 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −29.3153 | −1.22896 | −0.614482 | − | 0.788931i | \(-0.710635\pi\) | ||||
−0.614482 | + | 0.788931i | \(0.710635\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8.19224 | 0.342834 | 0.171417 | − | 0.985199i | \(-0.445165\pi\) | ||||
0.171417 | + | 0.985199i | \(0.445165\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 14.6307 | 0.611206 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −61.4773 | −2.56378 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 7.75379 | 0.322794 | 0.161397 | − | 0.986890i | \(-0.448400\pi\) | ||||
0.161397 | + | 0.986890i | \(0.448400\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 5.26137 | 0.218655 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −22.2462 | −0.922928 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 16.0000 | 0.662652 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −40.9848 | −1.69163 | −0.845813 | − | 0.533480i | \(-0.820884\pi\) | ||||
−0.845813 | + | 0.533480i | \(0.820884\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −12.4924 | −0.514741 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 22.9309 | 0.943250 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −5.50758 | −0.226169 | −0.113085 | − | 0.993585i | \(-0.536073\pi\) | ||||
−0.113085 | + | 0.993585i | \(0.536073\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −37.1771 | −1.52411 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 4.87689 | 0.199598 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −1.36932 | −0.0559488 | −0.0279744 | − | 0.999609i | \(-0.508906\pi\) | ||||
−0.0279744 | + | 0.999609i | \(0.508906\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −11.1771 | −0.455923 | −0.227961 | − | 0.973670i | \(-0.573206\pi\) | ||||
−0.227961 | + | 0.973670i | \(0.573206\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1.75379 | 0.0714198 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 4.43845 | 0.180449 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −9.36932 | −0.380289 | −0.190144 | − | 0.981756i | \(-0.560896\pi\) | ||||
−0.190144 | + | 0.981756i | \(0.560896\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −4.87689 | −0.197622 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.00000 | −0.242338 | −0.121169 | − | 0.992632i | \(-0.538664\pi\) | ||||
−0.121169 | + | 0.992632i | \(0.538664\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −28.4924 | −1.14893 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 35.8617 | 1.44374 | 0.721870 | − | 0.692029i | \(-0.243283\pi\) | ||||
0.721870 | + | 0.692029i | \(0.243283\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 46.2462 | 1.85879 | 0.929396 | − | 0.369084i | \(-0.120328\pi\) | ||||
0.929396 | + | 0.369084i | \(0.120328\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −44.4924 | −1.78542 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 15.6155 | 0.625623 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.36932 | −0.174773 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 15.2311 | 0.608270 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −17.9460 | −0.715555 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 35.3153 | 1.40588 | 0.702941 | − | 0.711248i | \(-0.251870\pi\) | ||||
0.702941 | + | 0.711248i | \(0.251870\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −5.17708 | −0.205770 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −22.2462 | −0.882814 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 2.63068 | 0.104068 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 8.24621 | 0.325706 | 0.162853 | − | 0.986650i | \(-0.447930\pi\) | ||||
0.162853 | + | 0.986650i | \(0.447930\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 21.8617 | 0.862143 | 0.431071 | − | 0.902318i | \(-0.358136\pi\) | ||||
0.431071 | + | 0.902318i | \(0.358136\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 53.1771 | 2.09385 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −3.12311 | −0.122782 | −0.0613910 | − | 0.998114i | \(-0.519554\pi\) | ||||
−0.0613910 | + | 0.998114i | \(0.519554\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −9.75379 | −0.382870 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −9.75379 | −0.382281 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −13.1231 | −0.513547 | −0.256773 | − | 0.966472i | \(-0.582659\pi\) | ||||
−0.256773 | + | 0.966472i | \(0.582659\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −56.3002 | −2.19983 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −3.36932 | −0.131450 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −16.4924 | −0.642454 | −0.321227 | − | 0.947002i | \(-0.604095\pi\) | ||||
−0.321227 | + | 0.947002i | \(0.604095\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.73863 | −0.339893 | −0.169947 | − | 0.985453i | \(-0.554360\pi\) | ||||
−0.169947 | + | 0.985453i | \(0.554360\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 17.3693 | 0.673553 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 16.0000 | 0.619522 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −5.17708 | −0.200158 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −8.98485 | −0.346856 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 34.3002 | 1.32218 | 0.661088 | − | 0.750309i | \(-0.270095\pi\) | ||||
0.661088 | + | 0.750309i | \(0.270095\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 42.7386 | 1.64501 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 23.3693 | 0.898156 | 0.449078 | − | 0.893493i | \(-0.351753\pi\) | ||||
0.449078 | + | 0.893493i | \(0.351753\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 12.8769 | 0.494170 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −12.4924 | −0.478711 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 24.0000 | 0.918334 | 0.459167 | − | 0.888350i | \(-0.348148\pi\) | ||||
0.459167 | + | 0.888350i | \(0.348148\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 18.2462 | 0.697152 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −21.5616 | −0.822625 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 48.9848 | 1.86347 | 0.931736 | − | 0.363137i | \(-0.118294\pi\) | ||||
0.931736 | + | 0.363137i | \(0.118294\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −2.73863 | −0.104032 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 16.6847 | 0.632885 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 34.2462 | 1.29717 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −21.5616 | −0.815533 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 47.3693 | 1.78911 | 0.894557 | − | 0.446953i | \(-0.147491\pi\) | ||||
0.894557 | + | 0.446953i | \(0.147491\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 8.38447 | 0.316226 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 70.5464 | 2.65693 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1.75379 | −0.0659580 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −24.7386 | −0.929079 | −0.464539 | − | 0.885552i | \(-0.653780\pi\) | ||||
−0.464539 | + | 0.885552i | \(0.653780\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −4.49242 | −0.168479 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 32.0000 | 1.19841 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 2.43845 | 0.0910655 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −4.87689 | −0.181877 | −0.0909387 | − | 0.995856i | \(-0.528987\pi\) | ||||
−0.0909387 | + | 0.995856i | \(0.528987\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 22.2462 | 0.828492 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −31.6155 | −1.17579 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −15.3693 | −0.570802 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 28.1080 | 1.04247 | 0.521233 | − | 0.853414i | \(-0.325472\pi\) | ||||
0.521233 | + | 0.853414i | \(0.325472\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 29.9848 | 1.11055 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −63.9157 | −2.36401 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 31.5616 | 1.16575 | 0.582876 | − | 0.812561i | \(-0.301927\pi\) | ||||
0.582876 | + | 0.812561i | \(0.301927\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −25.3693 | −0.935761 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 9.75379 | 0.359285 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.24621 | −0.229771 | −0.114885 | − | 0.993379i | \(-0.536650\pi\) | ||||
−0.114885 | + | 0.993379i | \(0.536650\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 43.9157 | 1.61111 | 0.805556 | − | 0.592520i | \(-0.201867\pi\) | ||||
0.805556 | + | 0.592520i | \(0.201867\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.876894 | −0.0321269 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −8.00000 | −0.292705 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −6.24621 | −0.228232 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −40.9848 | −1.49556 | −0.747779 | − | 0.663948i | \(-0.768880\pi\) | ||||
−0.747779 | + | 0.663948i | \(0.768880\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −8.98485 | −0.327426 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 22.9309 | 0.834540 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −5.12311 | −0.186202 | −0.0931012 | − | 0.995657i | \(-0.529678\pi\) | ||||
−0.0931012 | + | 0.995657i | \(0.529678\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −39.0152 | −1.41616 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −13.5076 | −0.489649 | −0.244825 | − | 0.969567i | \(-0.578730\pi\) | ||||
−0.244825 | + | 0.969567i | \(0.578730\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 27.8078 | 1.00671 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −13.3693 | −0.483369 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 43.8617 | 1.58169 | 0.790847 | − | 0.612013i | \(-0.209640\pi\) | ||||
0.790847 | + | 0.612013i | \(0.209640\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −24.3002 | −0.875150 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −0.822919 | −0.0295983 | −0.0147992 | − | 0.999890i | \(-0.504711\pi\) | ||||
−0.0147992 | + | 0.999890i | \(0.504711\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −30.7386 | −1.10416 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 6.54640 | 0.234851 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −16.0000 | −0.573259 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 14.6307 | 0.523527 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −11.1231 | −0.397507 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −37.3693 | −1.33377 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 16.0000 | 0.570338 | 0.285169 | − | 0.958477i | \(-0.407950\pi\) | ||||
0.285169 | + | 0.958477i | \(0.407950\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 15.2311 | 0.542240 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −22.6307 | −0.804654 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −28.4924 | −1.01052 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −46.4924 | −1.64685 | −0.823423 | − | 0.567428i | \(-0.807939\pi\) | ||||
−0.823423 | + | 0.567428i | \(0.807939\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −84.7926 | −2.99975 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 5.61553 | 0.198415 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −18.7386 | −0.661272 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −44.4924 | −1.56815 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 20.4924 | 0.721367 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 15.1771 | 0.533598 | 0.266799 | − | 0.963752i | \(-0.414034\pi\) | ||||
0.266799 | + | 0.963752i | \(0.414034\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2.73863 | −0.0961664 | −0.0480832 | − | 0.998843i | \(-0.515311\pi\) | ||||
−0.0480832 | + | 0.998843i | \(0.515311\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.300187 | −0.0105280 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 44.4924 | 1.55850 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 29.8617 | 1.04473 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −19.5616 | −0.682703 | −0.341351 | − | 0.939936i | \(-0.610885\pi\) | ||||
−0.341351 | + | 0.939936i | \(0.610885\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 31.6155 | 1.10205 | 0.551024 | − | 0.834489i | \(-0.314237\pi\) | ||||
0.551024 | + | 0.834489i | \(0.314237\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 37.4773 | 1.30479 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −21.8617 | −0.760207 | −0.380104 | − | 0.924944i | \(-0.624112\pi\) | ||||
−0.380104 | + | 0.924944i | \(0.624112\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −14.4924 | −0.503343 | −0.251671 | − | 0.967813i | \(-0.580980\pi\) | ||||
−0.251671 | + | 0.967813i | \(0.580980\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −7.23106 | −0.250843 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 30.4924 | 1.05650 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −8.00000 | −0.276851 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −22.2462 | −0.768942 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −38.7386 | −1.33741 | −0.668703 | − | 0.743530i | \(-0.733150\pi\) | ||||
−0.668703 | + | 0.743530i | \(0.733150\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.0000 | −0.862069 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 15.6155 | 0.537827 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.94602 | 0.0668662 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −38.2462 | −1.31261 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −21.4773 | −0.736231 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 17.3153 | 0.592866 | 0.296433 | − | 0.955054i | \(-0.404203\pi\) | ||||
0.296433 | + | 0.955054i | \(0.404203\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 6.24621 | 0.213616 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −8.73863 | −0.298506 | −0.149253 | − | 0.988799i | \(-0.547687\pi\) | ||||
−0.149253 | + | 0.988799i | \(0.547687\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −52.9848 | −1.80782 | −0.903910 | − | 0.427723i | \(-0.859316\pi\) | ||||
−0.903910 | + | 0.427723i | \(0.859316\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −12.4924 | −0.425741 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −4.30019 | −0.146380 | −0.0731900 | − | 0.997318i | \(-0.523318\pi\) | ||||
−0.0731900 | + | 0.997318i | \(0.523318\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 46.7386 | 1.58916 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −43.2311 | −1.46820 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −24.9848 | −0.847553 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 4.63068 | 0.156725 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 14.9309 | 0.504756 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 25.3153 | 0.854838 | 0.427419 | − | 0.904054i | \(-0.359423\pi\) | ||||
0.427419 | + | 0.904054i | \(0.359423\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 30.5464 | 1.03030 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −10.1922 | −0.343385 | −0.171693 | − | 0.985151i | \(-0.554924\pi\) | ||||
−0.171693 | + | 0.985151i | \(0.554924\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 12.6847 | 0.426873 | 0.213436 | − | 0.976957i | \(-0.431534\pi\) | ||||
0.213436 | + | 0.976957i | \(0.431534\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 17.3693 | 0.583863 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 53.4773 | 1.79559 | 0.897795 | − | 0.440413i | \(-0.145168\pi\) | ||||
0.897795 | + | 0.440413i | \(0.145168\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −9.75379 | −0.327132 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 21.8617 | 0.732396 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 39.6155 | 1.32568 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 16.6847 | 0.557707 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 8.00000 | 0.266815 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 34.2462 | 1.14091 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 23.3153 | 0.775886 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 52.9848 | 1.76128 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −0.192236 | −0.00638309 | −0.00319154 | − | 0.999995i | \(-0.501016\pi\) | ||||
−0.00319154 | + | 0.999995i | \(0.501016\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −0.630683 | −0.0209184 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −9.36932 | −0.310419 | −0.155210 | − | 0.987882i | \(-0.549605\pi\) | ||||
−0.155210 | + | 0.987882i | \(0.549605\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −44.4924 | −1.47248 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 16.0000 | 0.528944 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −24.6847 | −0.815159 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −40.9848 | −1.35197 | −0.675983 | − | 0.736918i | \(-0.736281\pi\) | ||||
−0.675983 | + | 0.736918i | \(0.736281\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 7.61553 | 0.250940 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 20.6307 | 0.678333 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 8.00000 | 0.262754 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −47.8617 | −1.57029 | −0.785146 | − | 0.619310i | \(-0.787412\pi\) | ||||
−0.785146 | + | 0.619310i | \(0.787412\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −14.2462 | −0.466901 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 29.8617 | 0.977629 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −74.3542 | −2.43164 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 12.7386 | 0.416153 | 0.208077 | − | 0.978113i | \(-0.433280\pi\) | ||||
0.208077 | + | 0.978113i | \(0.433280\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −9.66950 | −0.315552 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 30.7926 | 1.00381 | 0.501905 | − | 0.864923i | \(-0.332633\pi\) | ||||
0.501905 | + | 0.864923i | \(0.332633\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 40.9848 | 1.33465 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 30.9309 | 1.00618 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 17.3693 | 0.564427 | 0.282213 | − | 0.959352i | \(-0.408931\pi\) | ||||
0.282213 | + | 0.959352i | \(0.408931\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 6.63068 | 0.215015 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 59.6695 | 1.93288 | 0.966442 | − | 0.256883i | \(-0.0826956\pi\) | ||||
0.966442 | + | 0.256883i | \(0.0826956\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 33.3693 | 1.07981 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −9.75379 | −0.315295 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 8.00000 | 0.258333 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.0000 | −0.483871 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −2.24621 | −0.0723831 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 12.0000 | 0.386294 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1.56155 | 0.0502162 | 0.0251081 | − | 0.999685i | \(-0.492007\pi\) | ||||
0.0251081 | + | 0.999685i | \(0.492007\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 32.6004 | 1.04727 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −19.3153 | −0.619859 | −0.309929 | − | 0.950760i | \(-0.600305\pi\) | ||||
−0.309929 | + | 0.950760i | \(0.600305\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.31534 | 0.234519 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −21.5076 | −0.688088 | −0.344044 | − | 0.938953i | \(-0.611797\pi\) | ||||
−0.344044 | + | 0.938953i | \(0.611797\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 31.2311 | 0.998149 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 10.0000 | 0.319275 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 10.9309 | 0.348641 | 0.174320 | − | 0.984689i | \(-0.444227\pi\) | ||||
0.174320 | + | 0.984689i | \(0.444227\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 52.3002 | 1.66642 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 30.9309 | 0.984540 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −76.4924 | −2.43232 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 21.8617 | 0.694461 | 0.347231 | − | 0.937780i | \(-0.387122\pi\) | ||||
0.347231 | + | 0.937780i | \(0.387122\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 44.4924 | 1.41192 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 11.1231 | 0.352626 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −16.2462 | −0.514523 | −0.257261 | − | 0.966342i | \(-0.582820\pi\) | ||||
−0.257261 | + | 0.966342i | \(0.582820\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 14.9309 | 0.472392 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))