Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [3344,2,Mod(1,3344)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(3344, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("3344.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 3344 = 2^{4} \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3344.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: | \(26.7019744359\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.6.744786576.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - x^{5} - 17x^{4} + 13x^{3} + 69x^{2} - 21x - 30 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 836) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.6 | ||
Root | \(-3.31717\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 3344.1 |
$q$-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 | ||||||||
\(3\) | 3.31717 | 1.91517 | 0.957584 | − | 0.288154i | \(-0.0930415\pi\) | ||||
0.957584 | + | 0.288154i | \(0.0930415\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.60797 | 0.719106 | 0.359553 | − | 0.933125i | \(-0.382929\pi\) | ||||
0.359553 | + | 0.933125i | \(0.382929\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.11176 | 1.55410 | 0.777049 | − | 0.629441i | \(-0.216716\pi\) | ||||
0.777049 | + | 0.629441i | \(0.216716\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 8.00361 | 2.66787 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.00000 | 0.301511 | ||||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.192283 | −0.0533298 | −0.0266649 | − | 0.999644i | \(-0.508489\pi\) | ||||
−0.0266649 | + | 0.999644i | \(0.508489\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 5.33391 | 1.37721 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −7.62265 | −1.84876 | −0.924382 | − | 0.381469i | \(-0.875418\pi\) | ||||
−0.924382 | + | 0.381469i | \(0.875418\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.00000 | 0.229416 | ||||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 13.6394 | 2.97636 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −6.73080 | −1.40347 | −0.701734 | − | 0.712439i | \(-0.747590\pi\) | ||||
−0.701734 | + | 0.712439i | \(0.747590\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.41443 | −0.482887 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 16.5978 | 3.19425 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.80988 | 1.26456 | 0.632282 | − | 0.774738i | \(-0.282118\pi\) | ||||
0.632282 | + | 0.774738i | \(0.282118\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.33391 | −1.31721 | −0.658604 | − | 0.752490i | \(-0.728853\pi\) | ||||
−0.658604 | + | 0.752490i | \(0.728853\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 3.31717 | 0.577445 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 6.61158 | 1.11756 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.734914 | 0.120819 | 0.0604095 | − | 0.998174i | \(-0.480759\pi\) | ||||
0.0604095 | + | 0.998174i | \(0.480759\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.637837 | −0.102136 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.976345 | 0.152479 | 0.0762397 | − | 0.997090i | \(-0.475709\pi\) | ||||
0.0762397 | + | 0.997090i | \(0.475709\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.55470 | 0.847084 | 0.423542 | − | 0.905876i | \(-0.360787\pi\) | ||||
0.423542 | + | 0.905876i | \(0.360787\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 12.8696 | 1.91848 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −8.83859 | −1.28924 | −0.644620 | − | 0.764503i | \(-0.722984\pi\) | ||||
−0.644620 | + | 0.764503i | \(0.722984\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 9.90653 | 1.41522 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −25.2856 | −3.54069 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 11.8503 | 1.62776 | 0.813880 | − | 0.581033i | \(-0.197351\pi\) | ||||
0.813880 | + | 0.581033i | \(0.197351\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.60797 | 0.216819 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.31717 | 0.439370 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.30268 | −0.429972 | −0.214986 | − | 0.976617i | \(-0.568971\pi\) | ||||
−0.214986 | + | 0.976617i | \(0.568971\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 9.41840 | 1.20590 | 0.602951 | − | 0.797778i | \(-0.293991\pi\) | ||||
0.602951 | + | 0.797778i | \(0.293991\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 32.9089 | 4.14613 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.309186 | −0.0383498 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −12.5025 | −1.52743 | −0.763714 | − | 0.645555i | \(-0.776626\pi\) | ||||
−0.763714 | + | 0.645555i | \(0.776626\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −22.3272 | −2.68788 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.12228 | −0.489225 | −0.244612 | − | 0.969621i | \(-0.578661\pi\) | ||||
−0.244612 | + | 0.969621i | \(0.578661\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.15694 | −0.720615 | −0.360308 | − | 0.932834i | \(-0.617328\pi\) | ||||
−0.360308 | + | 0.932834i | \(0.617328\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −8.00909 | −0.924809 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.11176 | 0.468578 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.98831 | 0.336211 | 0.168106 | − | 0.985769i | \(-0.446235\pi\) | ||||
0.168106 | + | 0.985769i | \(0.446235\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 31.0469 | 3.44966 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −6.33876 | −0.695770 | −0.347885 | − | 0.937537i | \(-0.613100\pi\) | ||||
−0.347885 | + | 0.937537i | \(0.613100\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −12.2570 | −1.32946 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 22.5895 | 2.42185 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −13.5694 | −1.43835 | −0.719176 | − | 0.694828i | \(-0.755480\pi\) | ||||
−0.719176 | + | 0.694828i | \(0.755480\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.790623 | −0.0828798 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −24.3278 | −2.52268 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.60797 | 0.164974 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.33130 | −0.439777 | −0.219889 | − | 0.975525i | \(-0.570569\pi\) | ||||
−0.219889 | + | 0.975525i | \(0.570569\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 8.00361 | 0.804393 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −13.4729 | −1.34061 | −0.670303 | − | 0.742088i | \(-0.733836\pi\) | ||||
−0.670303 | + | 0.742088i | \(0.733836\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.83382 | −0.870422 | −0.435211 | − | 0.900329i | \(-0.643326\pi\) | ||||
−0.435211 | + | 0.900329i | \(0.643326\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 21.9317 | 2.14032 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −12.2194 | −1.18129 | −0.590647 | − | 0.806930i | \(-0.701127\pi\) | ||||
−0.590647 | + | 0.806930i | \(0.701127\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.54186 | 0.722379 | 0.361190 | − | 0.932492i | \(-0.382371\pi\) | ||||
0.361190 | + | 0.932492i | \(0.382371\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.43783 | 0.231389 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.68563 | 0.346715 | 0.173358 | − | 0.984859i | \(-0.444538\pi\) | ||||
0.173358 | + | 0.984859i | \(0.444538\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −10.8229 | −1.00924 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.53896 | −0.142277 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −31.3425 | −2.87316 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 3.23870 | 0.292024 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −11.9222 | −1.06635 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.19292 | 0.372061 | 0.186031 | − | 0.982544i | \(-0.440438\pi\) | ||||
0.186031 | + | 0.982544i | \(0.440438\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 18.4259 | 1.62231 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 8.75993 | 0.765359 | 0.382679 | − | 0.923881i | \(-0.375001\pi\) | ||||
0.382679 | + | 0.923881i | \(0.375001\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.11176 | 0.356534 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 26.6888 | 2.29700 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −8.06261 | −0.688835 | −0.344418 | − | 0.938817i | \(-0.611924\pi\) | ||||
−0.344418 | + | 0.938817i | \(0.611924\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.3201 | −1.12979 | −0.564897 | − | 0.825161i | \(-0.691084\pi\) | ||||
−0.564897 | + | 0.825161i | \(0.691084\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −29.3191 | −2.46911 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.192283 | −0.0160796 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 10.9501 | 0.909355 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 32.8616 | 2.71038 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 15.6532 | 1.28236 | 0.641182 | − | 0.767389i | \(-0.278444\pi\) | ||||
0.641182 | + | 0.767389i | \(0.278444\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 17.8796 | 1.45502 | 0.727512 | − | 0.686095i | \(-0.240677\pi\) | ||||
0.727512 | + | 0.686095i | \(0.240677\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −61.0087 | −4.93226 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −11.7927 | −0.947212 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.07368 | 0.564541 | 0.282271 | − | 0.959335i | \(-0.408912\pi\) | ||||
0.282271 | + | 0.959335i | \(0.408912\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 39.3094 | 3.11744 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −27.6754 | −2.18113 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.44357 | 0.269721 | 0.134861 | − | 0.990865i | \(-0.456941\pi\) | ||||
0.134861 | + | 0.990865i | \(0.456941\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 5.33391 | 0.415244 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 0.330041 | 0.0255394 | 0.0127697 | − | 0.999918i | \(-0.495935\pi\) | ||||
0.0127697 | + | 0.999918i | \(0.495935\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.9630 | −0.997156 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 8.00361 | 0.612051 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 4.62957 | 0.351979 | 0.175990 | − | 0.984392i | \(-0.443687\pi\) | ||||
0.175990 | + | 0.984392i | \(0.443687\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −9.92756 | −0.750453 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −10.9555 | −0.823469 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 5.15071 | 0.384982 | 0.192491 | − | 0.981299i | \(-0.438343\pi\) | ||||
0.192491 | + | 0.981299i | \(0.438343\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 12.3061 | 0.914708 | 0.457354 | − | 0.889285i | \(-0.348797\pi\) | ||||
0.457354 | + | 0.889285i | \(0.348797\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 31.2424 | 2.30951 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1.18172 | 0.0868817 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.62265 | −0.557423 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 68.2461 | 4.96418 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 15.7999 | 1.14324 | 0.571620 | − | 0.820518i | \(-0.306315\pi\) | ||||
0.571620 | + | 0.820518i | \(0.306315\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 26.6087 | 1.91534 | 0.957669 | − | 0.287871i | \(-0.0929475\pi\) | ||||
0.957669 | + | 0.287871i | \(0.0929475\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.02562 | −0.0734463 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.61255 | −0.114890 | −0.0574448 | − | 0.998349i | \(-0.518295\pi\) | ||||
−0.0574448 | + | 0.998349i | \(0.518295\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 14.2001 | 1.00662 | 0.503310 | − | 0.864106i | \(-0.332115\pi\) | ||||
0.503310 | + | 0.864106i | \(0.332115\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −41.4730 | −2.92528 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 28.0006 | 1.96525 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.56993 | 0.109649 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −53.8706 | −3.74427 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.00000 | 0.0691714 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.58917 | −0.660146 | −0.330073 | − | 0.943955i | \(-0.607073\pi\) | ||||
−0.330073 | + | 0.943955i | \(0.607073\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −13.6743 | −0.936948 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 8.93179 | 0.609143 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −30.1552 | −2.04707 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −20.4236 | −1.38010 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.46571 | 0.0985943 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.74913 | −0.184095 | −0.0920476 | − | 0.995755i | \(-0.529341\pi\) | ||||
−0.0920476 | + | 0.995755i | \(0.529341\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −19.3242 | −1.28828 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −2.67193 | −0.177342 | −0.0886711 | − | 0.996061i | \(-0.528262\pi\) | ||||
−0.0886711 | + | 0.996061i | \(0.528262\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 19.9350 | 1.31734 | 0.658672 | − | 0.752430i | \(-0.271119\pi\) | ||||
0.658672 | + | 0.752430i | \(0.271119\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 13.6394 | 0.897406 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 5.74051 | 0.376073 | 0.188037 | − | 0.982162i | \(-0.439788\pi\) | ||||
0.188037 | + | 0.982162i | \(0.439788\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −14.2122 | −0.927100 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 9.91273 | 0.643901 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 12.9106 | 0.835120 | 0.417560 | − | 0.908649i | \(-0.362885\pi\) | ||||
0.417560 | + | 0.908649i | \(0.362885\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 26.3067 | 1.69457 | 0.847283 | − | 0.531142i | \(-0.178237\pi\) | ||||
0.847283 | + | 0.531142i | \(0.178237\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 53.1944 | 3.41242 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 15.9294 | 1.01769 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.192283 | −0.0122347 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −21.0268 | −1.33252 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 5.77775 | 0.364688 | 0.182344 | − | 0.983235i | \(-0.441631\pi\) | ||||
0.182344 | + | 0.983235i | \(0.441631\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.73080 | −0.423161 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −40.6585 | −2.54613 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −20.6302 | −1.28688 | −0.643439 | − | 0.765498i | \(-0.722493\pi\) | ||||
−0.643439 | + | 0.765498i | \(0.722493\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.02179 | 0.187765 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 54.5036 | 3.37369 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −13.4936 | −0.832048 | −0.416024 | − | 0.909354i | \(-0.636577\pi\) | ||||
−0.416024 | + | 0.909354i | \(0.636577\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 19.0549 | 1.17053 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −45.0119 | −2.75469 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −6.54562 | −0.399094 | −0.199547 | − | 0.979888i | \(-0.563947\pi\) | ||||
−0.199547 | + | 0.979888i | \(0.563947\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.121298 | −0.00736831 | −0.00368415 | − | 0.999993i | \(-0.501173\pi\) | ||||
−0.00368415 | + | 0.999993i | \(0.501173\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −2.62263 | −0.158729 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.41443 | −0.145596 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 13.4770 | 0.809757 | 0.404878 | − | 0.914371i | \(-0.367314\pi\) | ||||
0.404878 | + | 0.914371i | \(0.367314\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −58.6977 | −3.51414 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.63154 | −0.216639 | −0.108320 | − | 0.994116i | \(-0.534547\pi\) | ||||
−0.108320 | + | 0.994116i | \(0.534547\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −16.9545 | −1.00784 | −0.503919 | − | 0.863751i | \(-0.668109\pi\) | ||||
−0.503919 | + | 0.863751i | \(0.668109\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 5.33391 | 0.315953 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 4.01449 | 0.236968 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 41.1048 | 2.41793 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −14.3677 | −0.842247 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −10.8307 | −0.632739 | −0.316369 | − | 0.948636i | \(-0.602464\pi\) | ||||
−0.316369 | + | 0.948636i | \(0.602464\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.31061 | −0.309195 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 16.5978 | 0.963103 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 1.29422 | 0.0748467 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 22.8396 | 1.31645 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −44.6920 | −2.56749 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 15.1445 | 0.867171 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2.43981 | −0.139247 | −0.0696235 | − | 0.997573i | \(-0.522180\pi\) | ||||
−0.0696235 | + | 0.997573i | \(0.522180\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −29.3033 | −1.66700 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 26.3308 | 1.49308 | 0.746541 | − | 0.665340i | \(-0.231713\pi\) | ||||
0.746541 | + | 0.665340i | \(0.231713\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.76724 | −0.212937 | −0.106468 | − | 0.994316i | \(-0.533954\pi\) | ||||
−0.106468 | + | 0.994316i | \(0.533954\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 52.9165 | 2.98150 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.02324 | 0.0574711 | 0.0287356 | − | 0.999587i | \(-0.490852\pi\) | ||||
0.0287356 | + | 0.999587i | \(0.490852\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 6.80988 | 0.381280 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −40.5338 | −2.26238 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −7.62265 | −0.424135 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.464256 | 0.0257523 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 25.0176 | 1.38348 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −36.3421 | −2.00361 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −13.5921 | −0.747090 | −0.373545 | − | 0.927612i | \(-0.621858\pi\) | ||||
−0.373545 | + | 0.927612i | \(0.621858\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 5.88196 | 0.322329 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −20.1037 | −1.09838 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −13.0615 | −0.711503 | −0.355752 | − | 0.934581i | \(-0.615775\pi\) | ||||
−0.355752 | + | 0.934581i | \(0.615775\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 12.2259 | 0.664018 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −7.33391 | −0.397153 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 11.9509 | 0.645290 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −35.9014 | −1.93287 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 9.78370 | 0.525217 | 0.262608 | − | 0.964903i | \(-0.415417\pi\) | ||||
0.262608 | + | 0.964903i | \(0.415417\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.57188 | 0.244727 | 0.122364 | − | 0.992485i | \(-0.460953\pi\) | ||||
0.122364 | + | 0.992485i | \(0.460953\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.19148 | −0.170349 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −7.57171 | −0.403001 | −0.201501 | − | 0.979488i | \(-0.564582\pi\) | ||||
−0.201501 | + | 0.979488i | \(0.564582\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.62850 | −0.351804 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −103.968 | −5.50258 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −12.7533 | −0.673094 | −0.336547 | − | 0.941667i | \(-0.609259\pi\) | ||||
−0.336547 | + | 0.941667i | \(0.609259\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 3.31717 | 0.174106 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −9.90017 | −0.518199 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −25.2916 | −1.32021 | −0.660104 | − | 0.751174i | \(-0.729488\pi\) | ||||
−0.660104 | + | 0.751174i | \(0.729488\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 7.81428 | 0.406795 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 48.7254 | 2.52970 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 16.8451 | 0.872209 | 0.436104 | − | 0.899896i | \(-0.356358\pi\) | ||||
0.436104 | + | 0.899896i | \(0.356358\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −39.5479 | −2.04224 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −1.30943 | −0.0674390 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −24.1556 | −1.24079 | −0.620394 | − | 0.784290i | \(-0.713027\pi\) | ||||
−0.620394 | + | 0.784290i | \(0.713027\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 13.9086 | 0.712560 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −3.06487 | −0.156608 | −0.0783039 | − | 0.996930i | \(-0.524950\pi\) | ||||
−0.0783039 | + | 0.996930i | \(0.524950\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 6.61158 | 0.336957 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 44.4577 | 2.25991 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 18.3879 | 0.932304 | 0.466152 | − | 0.884705i | \(-0.345640\pi\) | ||||
0.466152 | + | 0.884705i | \(0.345640\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 51.3065 | 2.59468 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 29.0582 | 1.46579 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 4.80511 | 0.241771 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −10.1799 | −0.510917 | −0.255458 | − | 0.966820i | \(-0.582226\pi\) | ||||
−0.255458 | + | 0.966820i | \(0.582226\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 13.6394 | 0.682823 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 18.0851 | 0.903128 | 0.451564 | − | 0.892239i | \(-0.350866\pi\) | ||||
0.451564 | + | 0.892239i | \(0.350866\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.41019 | 0.0702465 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 49.9225 | 2.48067 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.734914 | 0.0364283 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 20.3087 | 1.00420 | 0.502100 | − | 0.864810i | \(-0.332561\pi\) | ||||
0.502100 | + | 0.864810i | \(0.332561\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −26.7450 | −1.31923 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −13.5798 | −0.668219 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −10.1925 | −0.500332 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −44.1849 | −2.16375 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −9.98616 | −0.487856 | −0.243928 | − | 0.969793i | \(-0.578436\pi\) | ||||
−0.243928 | + | 0.969793i | \(0.578436\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −34.7710 | −1.69463 | −0.847316 | − | 0.531089i | \(-0.821783\pi\) | ||||
−0.847316 | + | 0.531089i | \(0.821783\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −70.7406 | −3.43952 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 18.4044 | 0.892744 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 38.7261 | 1.87409 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.637837 | −0.0307950 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 22.3666 | 1.07736 | 0.538681 | − | 0.842510i | \(-0.318923\pi\) | ||||
0.538681 | + | 0.842510i | \(0.318923\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −35.4168 | −1.70202 | −0.851011 | − | 0.525148i | \(-0.824010\pi\) | ||||
−0.851011 | + | 0.525148i | \(0.824010\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 36.3233 | 1.74157 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −6.73080 | −0.321978 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −9.55446 | −0.456010 | −0.228005 | − | 0.973660i | \(-0.573220\pi\) | ||||
−0.228005 | + | 0.973660i | \(0.573220\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 79.2880 | 3.77562 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 28.3348 | 1.34623 | 0.673113 | − | 0.739540i | \(-0.264957\pi\) | ||||
0.673113 | + | 0.739540i | \(0.264957\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −21.8192 | −1.03433 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 51.9244 | 2.45594 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 19.7315 | 0.931188 | 0.465594 | − | 0.884998i | \(-0.345841\pi\) | ||||
0.465594 | + | 0.884998i | \(0.345841\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.976345 | 0.0459743 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 59.3098 | 2.78662 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −1.27130 | −0.0595993 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 23.6281 | 1.10527 | 0.552637 | − | 0.833422i | \(-0.313621\pi\) | ||||
0.552637 | + | 0.833422i | \(0.313621\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −126.519 | −5.90541 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −0.976802 | −0.0454942 | −0.0227471 | − | 0.999741i | \(-0.507241\pi\) | ||||
−0.0227471 | + | 0.999741i | \(0.507241\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.78708 | −0.361896 | −0.180948 | − | 0.983493i | \(-0.557917\pi\) | ||||
−0.180948 | + | 0.983493i | \(0.557917\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −39.1184 | −1.81407 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −35.1591 | −1.62697 | −0.813486 | − | 0.581585i | \(-0.802433\pi\) | ||||
−0.813486 | + | 0.581585i | \(0.802433\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −51.4074 | −2.37377 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 23.4646 | 1.08119 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 5.55470 | 0.255406 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.41443 | −0.110782 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 94.8450 | 4.34265 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −30.2805 | −1.38355 | −0.691777 | − | 0.722112i | \(-0.743172\pi\) | ||||
−0.691777 | + | 0.722112i | \(0.743172\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.141312 | −0.00644326 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −91.8039 | −4.17722 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −6.96460 | −0.316246 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 23.3841 | 1.05964 | 0.529818 | − | 0.848112i | \(-0.322260\pi\) | ||||
0.529818 | + | 0.848112i | \(0.322260\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 11.4229 | 0.516561 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −18.1633 | −0.819696 | −0.409848 | − | 0.912154i | \(-0.634418\pi\) | ||||
−0.409848 | + | 0.912154i | \(0.634418\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −51.9093 | −2.33788 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 12.8696 | 0.578444 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −16.9498 | −0.760303 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 39.7067 | 1.77752 | 0.888759 | − | 0.458375i | \(-0.151568\pi\) | ||||
0.888759 | + | 0.458375i | \(0.151568\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.09480 | 0.0489122 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −13.5741 | −0.605241 | −0.302621 | − | 0.953111i | \(-0.597861\pi\) | ||||
−0.302621 | + | 0.953111i | \(0.597861\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −21.6641 | −0.964038 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −43.0005 | −1.90972 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 28.1607 | 1.24820 | 0.624101 | − | 0.781343i | \(-0.285465\pi\) | ||||
0.624101 | + | 0.781343i | \(0.285465\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −25.3158 | −1.11991 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 16.5978 | 0.732811 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −14.2045 | −0.625925 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −8.83859 | −0.388721 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 15.3571 | 0.674100 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −17.2741 | −0.756790 | −0.378395 | − | 0.925644i | \(-0.623524\pi\) | ||||
−0.378395 | + | 0.925644i | \(0.623524\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 14.6315 | 0.639789 | 0.319894 | − | 0.947453i | \(-0.396353\pi\) | ||||
0.319894 | + | 0.947453i | \(0.396353\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −32.9314 | −1.43724 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 55.9038 | 2.43521 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.3036 | 0.969722 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −26.4333 | −1.14711 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.187735 | −0.00813170 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −19.6484 | −0.849475 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 17.0858 | 0.737305 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 9.90653 | 0.426704 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.742620 | −0.0319277 | −0.0159639 | − | 0.999873i | \(-0.505082\pi\) | ||||
−0.0159639 | + | 0.999873i | \(0.505082\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 40.8215 | 1.75182 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 12.1271 | 0.519467 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −33.5177 | −1.43311 | −0.716557 | − | 0.697528i | \(-0.754283\pi\) | ||||
−0.716557 | + | 0.697528i | \(0.754283\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 75.3812 | 3.21719 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.80988 | 0.290111 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 12.2872 | 0.522505 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 3.91996 | 0.166393 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −18.6775 | −0.791392 | −0.395696 | − | 0.918381i | \(-0.629497\pi\) | ||||
−0.395696 | + | 0.918381i | \(0.629497\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.06808 | −0.0451749 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −25.2856 | −1.06756 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 28.4524 | 1.19913 | 0.599564 | − | 0.800327i | \(-0.295341\pi\) | ||||
0.599564 | + | 0.800327i | \(0.295341\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.92638 | 0.249325 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 127.657 | 5.36110 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 7.87017 | 0.329935 | 0.164967 | − | 0.986299i | \(-0.447248\pi\) | ||||
0.164967 | + | 0.986299i | \(0.447248\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 37.6693 | 1.57641 | 0.788205 | − | 0.615413i | \(-0.211011\pi\) | ||||
0.788205 | + | 0.615413i | \(0.211011\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 52.4109 | 2.18950 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 16.2511 | 0.677716 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 43.9800 | 1.83091 | 0.915457 | − | 0.402417i | \(-0.131830\pi\) | ||||
0.915457 | + | 0.402417i | \(0.131830\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 88.2656 | 3.66819 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −26.0634 | −1.08129 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.8503 | 0.490788 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −2.47460 | −0.102312 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 11.6515 | 0.480907 | 0.240453 | − | 0.970661i | \(-0.422704\pi\) | ||||
0.240453 | + | 0.970661i | \(0.422704\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −7.33391 | −0.302188 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −5.34911 | −0.220033 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −32.3337 | −1.32778 | −0.663892 | − | 0.747828i | \(-0.731097\pi\) | ||||
−0.663892 | + | 0.747828i | \(0.731097\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −50.3977 | −2.06611 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 47.1042 | 1.92785 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 0.717765 | 0.0293271 | 0.0146635 | − | 0.999892i | \(-0.495332\pi\) | ||||
0.0146635 | + | 0.999892i | \(0.495332\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −17.6539 | −0.720117 | −0.360058 | − | 0.932930i | \(-0.617243\pi\) | ||||
−0.360058 | + | 0.932930i | \(0.617243\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −100.065 | −4.07498 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.60797 | 0.0653733 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.2348 | 0.415419 | 0.207710 | − | 0.978191i | \(-0.433399\pi\) | ||||
0.207710 | + | 0.978191i | \(0.433399\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 92.8826 | 3.76379 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.69951 | 0.0687550 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −13.7215 | −0.554205 | −0.277102 | − | 0.960840i | \(-0.589374\pi\) | ||||
−0.277102 | + | 0.960840i | \(0.589374\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 5.20773 | 0.209996 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −21.2447 | −0.855280 | −0.427640 | − | 0.903949i | \(-0.640655\pi\) | ||||
−0.427640 | + | 0.903949i | \(0.640655\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −16.8753 | −0.678274 | −0.339137 | − | 0.940737i | \(-0.610135\pi\) | ||||
−0.339137 | + | 0.940737i | \(0.610135\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −111.716 | −4.48303 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −55.7940 | −2.23534 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −7.09834 | −0.283933 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 3.31717 | 0.132475 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −5.60199 | −0.223366 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 31.7238 | 1.26291 | 0.631453 | − | 0.775414i | \(-0.282459\pi\) | ||||
0.631453 | + | 0.775414i | \(0.282459\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −31.8089 | −1.26429 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 6.74208 | 0.267551 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.90486 | −0.0754734 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −32.9931 | −1.30519 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 34.5505 | 1.36466 | 0.682332 | − | 0.731043i | \(-0.260966\pi\) | ||||
0.682332 | + | 0.731043i | \(0.260966\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.89781 | 0.153715 | 0.0768573 | − | 0.997042i | \(-0.475511\pi\) | ||||
0.0768573 | + | 0.997042i | \(0.475511\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 29.6283 | 1.16661 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 19.5834 | 0.769904 | 0.384952 | − | 0.922937i | \(-0.374218\pi\) | ||||
0.384952 | + | 0.922937i | \(0.374218\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −3.30268 | −0.129641 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −100.030 | −3.92048 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 13.1173 | 0.513320 | 0.256660 | − | 0.966502i | \(-0.417378\pi\) | ||||
0.256660 | + | 0.966502i | \(0.417378\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 14.0857 | 0.550374 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −49.2777 | −1.92251 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 32.3835 | 1.26148 | 0.630741 | − | 0.775993i | \(-0.282751\pi\) | ||||
0.630741 | + | 0.775993i | \(0.282751\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −21.4666 | −0.834954 | −0.417477 | − | 0.908688i | \(-0.637086\pi\) | ||||
−0.417477 | + | 0.908688i | \(0.637086\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 4.86200 | 0.188825 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 6.61158 | 0.256386 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −45.8359 | −1.77477 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −9.11932 | −0.352573 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 9.41840 | 0.363593 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 32.8054 | 1.26455 | 0.632277 | − | 0.774742i | \(-0.282120\pi\) | ||||
0.632277 | + | 0.774742i | \(0.282120\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −40.0743 | −1.54246 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −38.3331 | −1.47326 | −0.736630 | − | 0.676296i | \(-0.763584\pi\) | ||||
−0.736630 | + | 0.676296i | \(0.763584\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −17.8093 | −0.683456 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −8.86324 | −0.339640 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −10.3756 | −0.397010 | −0.198505 | − | 0.980100i | \(-0.563609\pi\) | ||||
−0.198505 | + | 0.980100i | \(0.563609\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −12.9644 | −0.495345 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 66.1278 | 2.52293 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −2.27861 | −0.0868082 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.05581 | 0.230374 | 0.115187 | − | 0.993344i | \(-0.463253\pi\) | ||||
0.115187 | + | 0.993344i | \(0.463253\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 32.9089 | 1.25010 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −21.4183 | −0.812442 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −7.44233 | −0.281898 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 19.0422 | 0.720244 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 0.497075 | 0.0187743 | 0.00938714 | − | 0.999956i | \(-0.497012\pi\) | ||||
0.00938714 | + | 0.999956i | \(0.497012\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.734914 | 0.0277178 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −47.1442 | −1.77555 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −55.3974 | −2.08343 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.5856 | 0.472661 | 0.236330 | − | 0.971673i | \(-0.424055\pi\) | ||||
0.236330 | + | 0.971673i | \(0.424055\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 23.9173 | 0.896967 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 49.3630 | 1.84866 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.309186 | −0.0115629 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 42.8268 | 1.59940 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 6.17724 | 0.230372 | 0.115186 | − | 0.993344i | \(-0.463254\pi\) | ||||
0.115186 | + | 0.993344i | \(0.463254\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −36.3225 | −1.35272 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 87.2639 | 3.24538 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −16.4420 | −0.610641 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.90914 | −0.219158 | −0.109579 | − | 0.993978i | \(-0.534950\pi\) | ||||
−0.109579 | + | 0.993978i | \(0.534950\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 83.3141 | 3.08571 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −42.3416 | −1.56606 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 24.0990 | 0.890118 | 0.445059 | − | 0.895501i | \(-0.353183\pi\) | ||||
0.445059 | + | 0.895501i | \(0.353183\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 52.8405 | 1.94905 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −12.5025 | −0.460537 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 5.74460 | 0.211319 | 0.105659 | − | 0.994402i | \(-0.466305\pi\) | ||||
0.105659 | + | 0.994402i | \(0.466305\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.637837 | −0.0234315 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −16.8092 | −0.616671 | −0.308335 | − | 0.951278i | \(-0.599772\pi\) | ||||
−0.308335 | + | 0.951278i | \(0.599772\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 25.1699 | 0.922155 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −50.7330 | −1.85622 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −50.2431 | −1.83584 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −32.6804 | −1.19252 | −0.596262 | − | 0.802790i | \(-0.703348\pi\) | ||||
−0.596262 | + | 0.802790i | \(0.703348\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 19.1658 | 0.698439 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 28.7499 | 1.04632 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 40.3897 | 1.46799 | 0.733994 | − | 0.679156i | \(-0.237654\pi\) | ||||
0.733994 | + | 0.679156i | \(0.237654\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −22.3272 | −0.810425 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −45.6390 | −1.65441 | −0.827207 | − | 0.561898i | \(-0.810071\pi\) | ||||
−0.827207 | + | 0.561898i | \(0.810071\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 31.0103 | 1.12265 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −98.1001 | −3.54682 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.635051 | 0.0229303 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −24.4815 | −0.882826 | −0.441413 | − | 0.897304i | \(-0.645523\pi\) | ||||
−0.441413 | + | 0.897304i | \(0.645523\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −68.4339 | −2.46459 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −1.74051 | −0.0626018 | −0.0313009 | − | 0.999510i | \(-0.509965\pi\) | ||||
−0.0313009 | + | 0.999510i | \(0.509965\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 17.7072 | 0.636063 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 10.0238 | 0.359601 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.976345 | 0.0349812 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.12228 | −0.147507 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 113.029 | 4.03933 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 11.3743 | 0.405965 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 25.4670 | 0.907801 | 0.453901 | − | 0.891052i | \(-0.350032\pi\) | ||||
0.453901 | + | 0.891052i | \(0.350032\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −44.7604 | −1.59351 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 15.1544 | 0.538829 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.81100 | −0.0643106 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 63.2083 | 2.24177 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 17.4228 | 0.617146 | 0.308573 | − | 0.951201i | \(-0.400149\pi\) | ||||
0.308573 | + | 0.951201i | \(0.400149\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 67.3734 | 2.38350 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −108.604 | −3.83733 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −6.15694 | −0.217274 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −44.5012 | −1.56846 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −21.7129 | −0.764332 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 26.1897 | 0.920779 | 0.460390 | − | 0.887717i | \(-0.347710\pi\) | ||||
0.460390 | + | 0.887717i | \(0.347710\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −50.4597 | −1.77188 | −0.885939 | − | 0.463801i | \(-0.846485\pi\) | ||||
−0.885939 | + | 0.463801i | \(0.846485\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.402365 | −0.0141115 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 5.53715 | 0.193958 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 5.55470 | 0.194334 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −6.32783 | −0.221112 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 5.99962 | 0.209388 | 0.104694 | − | 0.994504i | \(-0.466614\pi\) | ||||
0.104694 | + | 0.994504i | \(0.466614\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.615783 | −0.0214649 | −0.0107324 | − | 0.999942i | \(-0.503416\pi\) | ||||
−0.0107324 | + | 0.999942i | \(0.503416\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −8.00909 | −0.278841 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −40.7839 | −1.41820 | −0.709098 | − | 0.705110i | \(-0.750898\pi\) | ||||
−0.709098 | + | 0.705110i | \(0.750898\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 38.6707 | 1.34309 | 0.671544 | − | 0.740964i | \(-0.265631\pi\) | ||||
0.671544 | + | 0.740964i | \(0.265631\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 44.7056 | 1.55082 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −75.5140 | −2.61640 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.530696 | 0.0183655 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −121.727 | −4.20749 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −18.6821 | −0.644978 | −0.322489 | − | 0.946573i | \(-0.604520\pi\) | ||||
−0.322489 | + | 0.946573i | \(0.604520\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 17.3745 | 0.599121 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −12.0464 | −0.414901 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −20.8442 | −0.717061 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4.11176 | 0.141282 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −56.2408 | −1.93018 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −4.94655 | −0.169566 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 44.3592 | 1.51883 | 0.759415 | − | 0.650607i | \(-0.225485\pi\) | ||||
0.759415 | + | 0.650607i | \(0.225485\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 12.8696 | 0.440130 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 22.4643 | 0.767367 | 0.383684 | − | 0.923465i | \(-0.374655\pi\) | ||||
0.383684 | + | 0.923465i | \(0.374655\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −7.80075 | −0.266158 | −0.133079 | − | 0.991105i | \(-0.542486\pi\) | ||||
−0.133079 | + | 0.991105i | \(0.542486\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 13.3167 | 0.453833 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −42.3672 | −1.44220 | −0.721098 | − | 0.692833i | \(-0.756362\pi\) | ||||
−0.721098 | + | 0.692833i | \(0.756362\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 7.44420 | 0.253110 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 136.351 | 4.63074 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 2.98831 | 0.101371 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.40403 | 0.0814575 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −34.6660 | −1.17327 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −49.0211 | −1.65722 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 16.7160 | 0.564458 | 0.282229 | − | 0.959347i | \(-0.408926\pi\) | ||||
0.282229 | + | 0.959347i | \(0.408926\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −35.9274 | −1.21180 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −34.5007 | −1.16236 | −0.581179 | − | 0.813776i | \(-0.697408\pi\) | ||||
−0.581179 | + | 0.813776i | \(0.697408\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −20.0083 | −0.673333 | −0.336667 | − | 0.941624i | \(-0.609300\pi\) | ||||
−0.336667 | + | 0.941624i | \(0.609300\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −17.6162 | −0.592161 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −51.5291 | −1.73018 | −0.865089 | − | 0.501618i | \(-0.832738\pi\) | ||||
−0.865089 | + | 0.501618i | \(0.832738\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 17.2402 | 0.578219 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 31.0469 | 1.04011 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −8.83859 | −0.295772 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 8.28218 | 0.276843 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 4.29315 | 0.143344 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −49.9430 | −1.66569 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −90.3305 | −3.00934 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 75.7627 | 2.52123 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 19.7879 | 0.657772 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 46.9324 | 1.55836 | 0.779182 | − | 0.626798i | \(-0.215635\pi\) | ||||
0.779182 | + | 0.626798i | \(0.215635\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −107.832 | −3.57656 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −43.3927 | −1.43766 | −0.718831 | − | 0.695184i | \(-0.755323\pi\) | ||||
−0.718831 | + | 0.695184i | \(0.755323\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −6.33876 | −0.209783 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 50.2368 | 1.66078 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 36.0187 | 1.18944 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −46.1195 | −1.52134 | −0.760671 | − | 0.649138i | \(-0.775130\pi\) | ||||
−0.760671 | + | 0.649138i | \(0.775130\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −8.09325 | −0.266682 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0.792646 | 0.0260903 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.77440 | −0.0583419 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −70.7024 | −2.32217 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −50.6414 | −1.66149 | −0.830745 | − | 0.556653i | \(-0.812085\pi\) | ||||
−0.830745 | + | 0.556653i | \(0.812085\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 9.90653 | 0.324673 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 87.3436 | 2.85950 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −12.2570 | −0.400846 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 52.6225 | 1.71910 | 0.859551 | − | 0.511051i | \(-0.170744\pi\) | ||||
0.859551 | + | 0.511051i | \(0.170744\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −12.4966 | −0.407810 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −39.1834 | −1.27734 | −0.638671 | − | 0.769480i | \(-0.720516\pi\) | ||||
−0.638671 | + | 0.769480i | \(0.720516\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −6.57158 | −0.214000 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 109.738 | 3.56977 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 1.35590 | 0.0440608 | 0.0220304 | − | 0.999757i | \(-0.492987\pi\) | ||||
0.0220304 | + | 0.999757i | \(0.492987\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.18388 | 0.0384303 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 3.39427 | 0.110067 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −10.3667 | −0.335812 | −0.167906 | − | 0.985803i | \(-0.553701\pi\) | ||||
−0.167906 | + | 0.985803i | \(0.553701\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 25.4057 | 0.822111 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 22.5895 | 0.730216 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −33.1515 | −1.07052 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 22.7862 | 0.735038 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −97.7992 | −3.15154 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 42.7860 | 1.37733 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 11.8273 | 0.380340 | 0.190170 | − | 0.981751i | \(-0.439096\pi\) | ||||
0.190170 | + | 0.981751i | \(0.439096\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −25.2856 | −0.812291 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −4.74148 | −0.152161 | −0.0760806 | − | 0.997102i | \(-0.524241\pi\) | ||||
−0.0760806 | + | 0.997102i | \(0.524241\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −54.7689 | −1.75581 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 1.54001 | 0.0493199 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 35.1330 | 1.12401 | 0.562003 | − | 0.827135i | \(-0.310031\pi\) | ||||
0.562003 | + | 0.827135i | \(0.310031\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −13.5694 | −0.433679 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 60.3621 | 1.92721 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 13.8563 | 0.441948 | 0.220974 | − | 0.975280i | \(-0.429076\pi\) | ||||
0.220974 | + | 0.975280i | \(0.429076\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.59293 | −0.0826178 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −120.553 | −3.83724 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −37.3876 | −1.18886 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −8.08672 | −0.256883 | −0.128442 | − | 0.991717i | \(-0.540997\pi\) | ||||
−0.128442 | + | 0.991717i | \(0.540997\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −45.0873 | −1.43080 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 22.8334 | 0.723867 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −4.02300 | −0.127410 | −0.0637049 | − | 0.997969i | \(-0.520292\pi\) | ||||
−0.0637049 | + | 0.997969i | \(0.520292\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 12.1980 | 0.385926 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 3344.2.a.w.1.6 | 6 | ||
4.3 | odd | 2 | 836.2.a.e.1.1 | ✓ | 6 | ||
12.11 | even | 2 | 7524.2.a.q.1.3 | 6 | |||
44.43 | even | 2 | 9196.2.a.n.1.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
836.2.a.e.1.1 | ✓ | 6 | 4.3 | odd | 2 | ||
3344.2.a.w.1.6 | 6 | 1.1 | even | 1 | trivial | ||
7524.2.a.q.1.3 | 6 | 12.11 | even | 2 | |||
9196.2.a.n.1.1 | 6 | 44.43 | even | 2 |