Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(17,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.t (of order \(6\), degree \(2\), not minimal) |
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: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 23 x^{14} - 8 x^{13} - 131 x^{12} + 380 x^{11} - 289 x^{10} - 880 x^{9} + \cdots + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3^{4} \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 17.1 | ||
Root | \(1.73109 + 0.0577511i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.17 |
Dual form | 378.2.t.a.89.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −2.28190 | −1.02050 | −0.510248 | − | 0.860027i | \(-0.670447\pi\) | ||||
−0.510248 | + | 0.860027i | \(0.670447\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.21977 | + | 2.34780i | 0.461029 | + | 0.887385i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.97618 | + | 1.14095i | 0.624924 | + | 0.360800i | ||||
\(11\) | − | 1.09303i | − | 0.329560i | −0.986330 | − | 0.164780i | \(-0.947309\pi\) | ||
0.986330 | − | 0.164780i | \(-0.0526915\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.91448 | − | 3.41473i | −1.64038 | − | 0.947075i | −0.980697 | − | 0.195533i | \(-0.937356\pi\) |
−0.659685 | − | 0.751542i | \(-0.729310\pi\) | |||||||
\(14\) | 0.117551 | − | 2.64314i | 0.0314168 | − | 0.706409i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −3.35863 | + | 5.81732i | −0.814588 | + | 1.41091i | 0.0950352 | + | 0.995474i | \(0.469704\pi\) |
−0.909623 | + | 0.415434i | \(0.863630\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.47987 | + | 1.43175i | −0.568922 | + | 0.328467i | −0.756718 | − | 0.653741i | \(-0.773199\pi\) |
0.187797 | + | 0.982208i | \(0.439865\pi\) | |||||||
\(20\) | −1.14095 | − | 1.97618i | −0.255124 | − | 0.441888i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.546514 | + | 0.946590i | −0.116517 | + | 0.201814i | ||||
\(23\) | 3.90593i | 0.814443i | 0.913329 | + | 0.407221i | \(0.133502\pi\) | ||||
−0.913329 | + | 0.407221i | \(0.866498\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.207069 | 0.0414139 | ||||||||
\(26\) | 3.41473 | + | 5.91448i | 0.669683 | + | 1.15993i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.42337 | + | 2.23025i | −0.268992 | + | 0.421478i | ||||
\(29\) | −1.59933 | + | 0.923371i | −0.296987 | + | 0.171466i | −0.641089 | − | 0.767467i | \(-0.721517\pi\) |
0.344101 | + | 0.938933i | \(0.388184\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.75081 | + | 1.01083i | −0.314455 | + | 0.181551i | −0.648918 | − | 0.760858i | \(-0.724778\pi\) |
0.334463 | + | 0.942409i | \(0.391445\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.81732 | − | 3.35863i | 0.997663 | − | 0.576001i | ||||
\(35\) | −2.78339 | − | 5.35745i | −0.470478 | − | 0.905574i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.57920 | + | 6.19935i | 0.588416 | + | 1.01917i | 0.994440 | + | 0.105305i | \(0.0335818\pi\) |
−0.406024 | + | 0.913863i | \(0.633085\pi\) | |||||||
\(38\) | 2.86351 | 0.464522 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.28190i | 0.360800i | ||||||||
\(41\) | 2.45515 | − | 4.25245i | 0.383431 | − | 0.664121i | −0.608120 | − | 0.793845i | \(-0.708076\pi\) |
0.991550 | + | 0.129724i | \(0.0414092\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.74246 | − | 6.48214i | −0.570721 | − | 0.988517i | −0.996492 | − | 0.0836863i | \(-0.973331\pi\) |
0.425772 | − | 0.904831i | \(-0.360003\pi\) | |||||||
\(44\) | 0.946590 | − | 0.546514i | 0.142704 | − | 0.0823901i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.95297 | − | 3.38264i | 0.287949 | − | 0.498742i | ||||
\(47\) | −3.40174 | + | 5.89199i | −0.496195 | + | 0.859435i | −0.999990 | − | 0.00438774i | \(-0.998603\pi\) |
0.503795 | + | 0.863823i | \(0.331937\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.02434 | + | 5.72754i | −0.574905 | + | 0.818220i | ||||
\(50\) | −0.179327 | − | 0.103535i | −0.0253607 | − | 0.0146420i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | − | 6.82946i | − | 0.947075i | ||||||
\(53\) | 0.222069 | + | 0.128212i | 0.0305036 | + | 0.0176112i | 0.515174 | − | 0.857085i | \(-0.327727\pi\) |
−0.484671 | + | 0.874697i | \(0.661061\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.49418i | 0.336315i | ||||||||
\(56\) | 2.34780 | − | 1.21977i | 0.313738 | − | 0.162998i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.84674 | 0.242489 | ||||||||
\(59\) | −0.971009 | − | 1.68184i | −0.126415 | − | 0.218957i | 0.795870 | − | 0.605467i | \(-0.207014\pi\) |
−0.922285 | + | 0.386510i | \(0.873680\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.15315 | + | 0.665771i | 0.147646 | + | 0.0852432i | 0.572003 | − | 0.820252i | \(-0.306167\pi\) |
−0.424357 | + | 0.905495i | \(0.639500\pi\) | |||||||
\(62\) | 2.02166 | 0.256752 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 13.4963 | + | 7.79207i | 1.67400 | + | 0.966487i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.54959 | − | 4.41602i | −0.311482 | − | 0.539503i | 0.667201 | − | 0.744877i | \(-0.267492\pi\) |
−0.978683 | + | 0.205375i | \(0.934159\pi\) | |||||||
\(68\) | −6.71727 | −0.814588 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.268240 | + | 6.03138i | −0.0320608 | + | 0.720888i | ||||
\(71\) | 0.233507i | 0.0277121i | 0.999904 | + | 0.0138561i | \(0.00441066\pi\) | ||||
−0.999904 | + | 0.0138561i | \(0.995589\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.89272 | + | 3.40216i | 0.689690 | + | 0.398193i | 0.803496 | − | 0.595310i | \(-0.202971\pi\) |
−0.113806 | + | 0.993503i | \(0.536304\pi\) | |||||||
\(74\) | − | 7.15840i | − | 0.832147i | ||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.47987 | − | 1.43175i | −0.284461 | − | 0.164233i | ||||
\(77\) | 2.56621 | − | 1.33324i | 0.292447 | − | 0.151937i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.63624 | − | 6.29816i | 0.409109 | − | 0.708598i | −0.585681 | − | 0.810542i | \(-0.699173\pi\) |
0.994790 | + | 0.101944i | \(0.0325062\pi\) | |||||||
\(80\) | 1.14095 | − | 1.97618i | 0.127562 | − | 0.220944i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.25245 | + | 2.45515i | −0.469605 | + | 0.271126i | ||||
\(83\) | −2.91353 | − | 5.04638i | −0.319801 | − | 0.553912i | 0.660645 | − | 0.750698i | \(-0.270283\pi\) |
−0.980446 | + | 0.196786i | \(0.936950\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 7.66407 | − | 13.2746i | 0.831285 | − | 1.43983i | ||||
\(86\) | 7.48493i | 0.807121i | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.09303 | −0.116517 | ||||||||
\(89\) | −8.99707 | − | 15.5834i | −0.953687 | − | 1.65184i | −0.737344 | − | 0.675518i | \(-0.763920\pi\) |
−0.216344 | − | 0.976317i | \(-0.569413\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.802809 | − | 18.0512i | 0.0841573 | − | 1.89228i | ||||
\(92\) | −3.38264 | + | 1.95297i | −0.352664 | + | 0.203611i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 5.89199 | − | 3.40174i | 0.607713 | − | 0.350863i | ||||
\(95\) | 5.65882 | − | 3.26712i | 0.580583 | − | 0.335200i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.13903 | − | 2.38967i | 0.420255 | − | 0.242634i | −0.274931 | − | 0.961464i | \(-0.588655\pi\) |
0.695186 | + | 0.718830i | \(0.255322\pi\) | |||||||
\(98\) | 6.34895 | − | 2.94803i | 0.641341 | − | 0.297796i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.103535 | + | 0.179327i | 0.0103535 | + | 0.0179327i | ||||
\(101\) | 10.4596 | 1.04077 | 0.520385 | − | 0.853932i | \(-0.325788\pi\) | ||||
0.520385 | + | 0.853932i | \(0.325788\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 12.7477i | 1.25607i | 0.778187 | + | 0.628033i | \(0.216140\pi\) | ||||
−0.778187 | + | 0.628033i | \(0.783860\pi\) | |||||||
\(104\) | −3.41473 | + | 5.91448i | −0.334842 | + | 0.579963i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.128212 | − | 0.222069i | −0.0124530 | − | 0.0215693i | ||||
\(107\) | 8.25865 | − | 4.76813i | 0.798394 | − | 0.460953i | −0.0445153 | − | 0.999009i | \(-0.514174\pi\) |
0.842909 | + | 0.538056i | \(0.180841\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.88251 | + | 4.99266i | −0.276095 | + | 0.478210i | −0.970411 | − | 0.241460i | \(-0.922374\pi\) |
0.694316 | + | 0.719670i | \(0.255707\pi\) | |||||||
\(110\) | 1.24709 | − | 2.16002i | 0.118905 | − | 0.205950i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.64314 | − | 0.117551i | −0.249753 | − | 0.0111075i | ||||
\(113\) | 10.3333 | + | 5.96592i | 0.972073 | + | 0.561227i | 0.899868 | − | 0.436163i | \(-0.143663\pi\) |
0.0722053 | + | 0.997390i | \(0.476996\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | − | 8.91294i | − | 0.831136i | ||||||
\(116\) | −1.59933 | − | 0.923371i | −0.148494 | − | 0.0857329i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.94202i | 0.178777i | ||||||||
\(119\) | −17.7547 | − | 0.789621i | −1.62757 | − | 0.0723844i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 9.80529 | 0.891390 | ||||||||
\(122\) | −0.665771 | − | 1.15315i | −0.0602760 | − | 0.104401i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.75081 | − | 1.01083i | −0.157228 | − | 0.0907754i | ||||
\(125\) | 10.9370 | 0.978234 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.9133 | −0.968400 | −0.484200 | − | 0.874957i | \(-0.660889\pi\) | ||||
−0.484200 | + | 0.874957i | \(0.660889\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −7.79207 | − | 13.4963i | −0.683410 | − | 1.18370i | ||||
\(131\) | −1.97935 | −0.172937 | −0.0864684 | − | 0.996255i | \(-0.527558\pi\) | ||||
−0.0864684 | + | 0.996255i | \(0.527558\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.38634 | − | 4.07584i | −0.553766 | − | 0.353420i | ||||
\(134\) | 5.09918i | 0.440502i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 5.81732 | + | 3.35863i | 0.498831 | + | 0.288000i | ||||
\(137\) | 3.31310i | 0.283057i | 0.989934 | + | 0.141528i | \(0.0452017\pi\) | ||||
−0.989934 | + | 0.141528i | \(0.954798\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.00698 | + | 1.73608i | 0.255048 | + | 0.147252i | 0.622074 | − | 0.782959i | \(-0.286290\pi\) |
−0.367025 | + | 0.930211i | \(0.619624\pi\) | |||||||
\(140\) | 3.24799 | − | 5.08921i | 0.274505 | − | 0.430117i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.116753 | − | 0.202223i | 0.00979772 | − | 0.0169701i | ||||
\(143\) | −3.73239 | + | 6.46469i | −0.312118 | + | 0.540605i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.64950 | − | 2.10704i | 0.303075 | − | 0.174980i | ||||
\(146\) | −3.40216 | − | 5.89272i | −0.281565 | − | 0.487685i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.57920 | + | 6.19935i | −0.294208 | + | 0.509584i | ||||
\(149\) | 13.3407i | 1.09291i | 0.837487 | + | 0.546457i | \(0.184024\pi\) | ||||
−0.837487 | + | 0.546457i | \(0.815976\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.33991 | −0.434556 | −0.217278 | − | 0.976110i | \(-0.569718\pi\) | ||||
−0.217278 | + | 0.976110i | \(0.569718\pi\) | |||||||
\(152\) | 1.43175 | + | 2.47987i | 0.116131 | + | 0.201144i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.88902 | − | 0.128486i | −0.232804 | − | 0.0103537i | ||||
\(155\) | 3.99518 | − | 2.30662i | 0.320901 | − | 0.185272i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −15.3003 | + | 8.83364i | −1.22110 | + | 0.705002i | −0.965152 | − | 0.261689i | \(-0.915720\pi\) |
−0.255946 | + | 0.966691i | \(0.582387\pi\) | |||||||
\(158\) | −6.29816 | + | 3.63624i | −0.501054 | + | 0.289284i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.97618 | + | 1.14095i | −0.156231 | + | 0.0902000i | ||||
\(161\) | −9.17035 | + | 4.76433i | −0.722725 | + | 0.375481i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.94915 | + | 13.7683i | 0.622625 | + | 1.07842i | 0.988995 | + | 0.147949i | \(0.0472672\pi\) |
−0.366370 | + | 0.930469i | \(0.619400\pi\) | |||||||
\(164\) | 4.91031 | 0.383431 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.82706i | 0.452268i | ||||||||
\(167\) | 2.85878 | − | 4.95155i | 0.221219 | − | 0.383163i | −0.733959 | − | 0.679193i | \(-0.762330\pi\) |
0.955178 | + | 0.296031i | \(0.0956631\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 16.8207 | + | 29.1344i | 1.29390 | + | 2.24110i | ||||
\(170\) | −13.2746 | + | 7.66407i | −1.01811 | + | 0.587807i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.74246 | − | 6.48214i | 0.285360 | − | 0.494258i | ||||
\(173\) | −7.60258 | + | 13.1681i | −0.578013 | + | 1.00115i | 0.417694 | + | 0.908588i | \(0.362839\pi\) |
−0.995707 | + | 0.0925606i | \(0.970495\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.252577 | + | 0.486158i | 0.0190930 | + | 0.0367501i | ||||
\(176\) | 0.946590 | + | 0.546514i | 0.0713519 | + | 0.0411950i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 17.9941i | 1.34872i | ||||||||
\(179\) | 3.51582 | + | 2.02986i | 0.262785 | + | 0.151719i | 0.625604 | − | 0.780141i | \(-0.284852\pi\) |
−0.362819 | + | 0.931859i | \(0.618186\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.68452i | 0.273869i | 0.990580 | + | 0.136934i | \(0.0437249\pi\) | ||||
−0.990580 | + | 0.136934i | \(0.956275\pi\) | |||||||
\(182\) | −9.72085 | + | 15.2314i | −0.720557 | + | 1.12903i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 3.90593 | 0.287949 | ||||||||
\(185\) | −8.16737 | − | 14.1463i | −0.600477 | − | 1.04006i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.35850 | + | 3.67108i | 0.464979 | + | 0.268456i | ||||
\(188\) | −6.80349 | −0.496195 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.53424 | −0.474044 | ||||||||
\(191\) | −22.3425 | − | 12.8994i | −1.61664 | − | 0.933370i | −0.987780 | − | 0.155854i | \(-0.950187\pi\) |
−0.628864 | − | 0.777516i | \(-0.716480\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.64331 | + | 8.04245i | 0.334233 | + | 0.578908i | 0.983337 | − | 0.181791i | \(-0.0581894\pi\) |
−0.649104 | + | 0.760699i | \(0.724856\pi\) | |||||||
\(194\) | −4.77934 | −0.343137 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.97236 | − | 0.621407i | −0.498026 | − | 0.0443862i | ||||
\(197\) | − | 5.86237i | − | 0.417677i | −0.977950 | − | 0.208838i | \(-0.933032\pi\) | ||
0.977950 | − | 0.208838i | \(-0.0669683\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −13.9117 | − | 8.03191i | −0.986173 | − | 0.569367i | −0.0820447 | − | 0.996629i | \(-0.526145\pi\) |
−0.904128 | + | 0.427262i | \(0.859478\pi\) | |||||||
\(200\) | − | 0.207069i | − | 0.0146420i | ||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −9.05829 | − | 5.22981i | −0.637339 | − | 0.367968i | ||||
\(203\) | −4.11870 | − | 2.62860i | −0.289076 | − | 0.184492i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.60242 | + | 9.70367i | −0.391290 | + | 0.677734i | ||||
\(206\) | 6.37383 | − | 11.0398i | 0.444086 | − | 0.769180i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 5.91448 | − | 3.41473i | 0.410096 | − | 0.236769i | ||||
\(209\) | 1.56495 | + | 2.71057i | 0.108250 | + | 0.187494i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.3741 | − | 21.4325i | 0.851867 | − | 1.47548i | −0.0276550 | − | 0.999618i | \(-0.508804\pi\) |
0.879522 | − | 0.475859i | \(-0.157863\pi\) | |||||||
\(212\) | 0.256424i | 0.0176112i | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −9.53627 | −0.651886 | ||||||||
\(215\) | 8.53993 | + | 14.7916i | 0.582419 | + | 1.00878i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.50882 | − | 2.87758i | −0.306078 | − | 0.195343i | ||||
\(218\) | 4.99266 | − | 2.88251i | 0.338146 | − | 0.195228i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.16002 | + | 1.24709i | −0.145629 | + | 0.0840788i | ||||
\(221\) | 39.7291 | − | 22.9376i | 2.67247 | − | 1.54295i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −3.20041 | + | 1.84776i | −0.214315 | + | 0.123735i | −0.603315 | − | 0.797503i | \(-0.706154\pi\) |
0.389000 | + | 0.921238i | \(0.372821\pi\) | |||||||
\(224\) | 2.23025 | + | 1.42337i | 0.149015 | + | 0.0951030i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −5.96592 | − | 10.3333i | −0.396847 | − | 0.687359i | ||||
\(227\) | −4.61097 | −0.306041 | −0.153020 | − | 0.988223i | \(-0.548900\pi\) | ||||
−0.153020 | + | 0.988223i | \(0.548900\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 15.9603i | 1.05469i | 0.849652 | + | 0.527344i | \(0.176812\pi\) | ||||
−0.849652 | + | 0.527344i | \(0.823188\pi\) | |||||||
\(230\) | −4.45647 | + | 7.71884i | −0.293851 | + | 0.508965i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.923371 | + | 1.59933i | 0.0606223 | + | 0.105001i | ||||
\(233\) | −6.17609 | + | 3.56577i | −0.404609 | + | 0.233601i | −0.688471 | − | 0.725264i | \(-0.741718\pi\) |
0.283862 | + | 0.958865i | \(0.408384\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.76244 | − | 13.4449i | 0.506366 | − | 0.877051i | ||||
\(236\) | 0.971009 | − | 1.68184i | 0.0632073 | − | 0.109478i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 14.9812 | + | 9.56116i | 0.971086 | + | 0.619758i | ||||
\(239\) | −13.6219 | − | 7.86462i | −0.881129 | − | 0.508720i | −0.0100987 | − | 0.999949i | \(-0.503215\pi\) |
−0.871031 | + | 0.491229i | \(0.836548\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.60840i | 0.103606i | 0.998657 | + | 0.0518031i | \(0.0164968\pi\) | ||||
−0.998657 | + | 0.0518031i | \(0.983503\pi\) | |||||||
\(242\) | −8.49163 | − | 4.90265i | −0.545863 | − | 0.315154i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1.33154i | 0.0852432i | ||||||||
\(245\) | 9.18313 | − | 13.0697i | 0.586689 | − | 0.834991i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 19.5562 | 1.24433 | ||||||||
\(248\) | 1.01083 | + | 1.75081i | 0.0641879 | + | 0.111177i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −9.47171 | − | 5.46850i | −0.599044 | − | 0.345858i | ||||
\(251\) | −18.3728 | −1.15968 | −0.579841 | − | 0.814729i | \(-0.696885\pi\) | ||||
−0.579841 | + | 0.814729i | \(0.696885\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.26929 | 0.268408 | ||||||||
\(254\) | 9.45121 | + | 5.45666i | 0.593021 | + | 0.342381i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −17.4736 | −1.08997 | −0.544986 | − | 0.838445i | \(-0.683465\pi\) | ||||
−0.544986 | + | 0.838445i | \(0.683465\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.1891 | + | 15.9650i | −0.633117 | + | 0.992017i | ||||
\(260\) | 15.5841i | 0.966487i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.71417 | + | 0.989677i | 0.105902 | + | 0.0611424i | ||||
\(263\) | 27.6144i | 1.70278i | 0.524535 | + | 0.851389i | \(0.324239\pi\) | ||||
−0.524535 | + | 0.851389i | \(0.675761\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.506740 | − | 0.292567i | −0.0311288 | − | 0.0179722i | ||||
\(266\) | 3.49281 | + | 6.72295i | 0.214158 | + | 0.412210i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.54959 | − | 4.41602i | 0.155741 | − | 0.269751i | ||||
\(269\) | −3.38607 | + | 5.86484i | −0.206452 | + | 0.357586i | −0.950594 | − | 0.310435i | \(-0.899525\pi\) |
0.744142 | + | 0.668021i | \(0.232858\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.23822 | − | 4.17899i | 0.439691 | − | 0.253856i | −0.263776 | − | 0.964584i | \(-0.584968\pi\) |
0.703466 | + | 0.710729i | \(0.251635\pi\) | |||||||
\(272\) | −3.35863 | − | 5.81732i | −0.203647 | − | 0.352727i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.65655 | − | 2.86923i | 0.100076 | − | 0.173336i | ||||
\(275\) | − | 0.226333i | − | 0.0136484i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −16.2123 | −0.974105 | −0.487053 | − | 0.873373i | \(-0.661928\pi\) | ||||
−0.487053 | + | 0.873373i | \(0.661928\pi\) | |||||||
\(278\) | −1.73608 | − | 3.00698i | −0.104123 | − | 0.180346i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.35745 | + | 2.78339i | −0.320169 | + | 0.166339i | ||||
\(281\) | 25.3352 | − | 14.6273i | 1.51137 | − | 0.872590i | 0.511458 | − | 0.859308i | \(-0.329105\pi\) |
0.999912 | − | 0.0132818i | \(-0.00422786\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.24230 | − | 0.717242i | 0.0738470 | − | 0.0426356i | −0.462622 | − | 0.886556i | \(-0.653091\pi\) |
0.536469 | + | 0.843920i | \(0.319758\pi\) | |||||||
\(284\) | −0.202223 | + | 0.116753i | −0.0119997 | + | 0.00692803i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 6.46469 | − | 3.73239i | 0.382265 | − | 0.220701i | ||||
\(287\) | 12.9786 | + | 0.577211i | 0.766104 | + | 0.0340717i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.0608 | − | 24.3541i | −0.827108 | − | 1.43259i | ||||
\(290\) | −4.21408 | −0.247459 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 6.80432i | 0.398193i | ||||||||
\(293\) | −10.8260 | + | 18.7511i | −0.632459 | + | 1.09545i | 0.354588 | + | 0.935023i | \(0.384621\pi\) |
−0.987047 | + | 0.160429i | \(0.948712\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.21575 | + | 3.83779i | 0.129006 | + | 0.223444i | ||||
\(296\) | 6.19935 | − | 3.57920i | 0.360330 | − | 0.208037i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.67036 | − | 11.5534i | 0.386404 | − | 0.669271i | ||||
\(299\) | 13.3377 | − | 23.1016i | 0.771338 | − | 1.33600i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 10.6538 | − | 16.6933i | 0.614077 | − | 0.962184i | ||||
\(302\) | 4.62450 | + | 2.66995i | 0.266110 | + | 0.153639i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | − | 2.86351i | − | 0.164233i | ||||||
\(305\) | −2.63137 | − | 1.51922i | −0.150672 | − | 0.0869904i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 13.4732i | 0.768957i | 0.923134 | + | 0.384479i | \(0.125619\pi\) | ||||
−0.923134 | + | 0.384479i | \(0.874381\pi\) | |||||||
\(308\) | 2.43773 | + | 1.55578i | 0.138902 | + | 0.0886491i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −4.61324 | −0.262014 | ||||||||
\(311\) | 14.3669 | + | 24.8842i | 0.814672 | + | 1.41105i | 0.909563 | + | 0.415565i | \(0.136416\pi\) |
−0.0948916 | + | 0.995488i | \(0.530250\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −20.4636 | − | 11.8147i | −1.15667 | − | 0.667805i | −0.206167 | − | 0.978517i | \(-0.566099\pi\) |
−0.950504 | + | 0.310712i | \(0.899433\pi\) | |||||||
\(314\) | 17.6673 | 0.997023 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.27248 | 0.409109 | ||||||||
\(317\) | 0.760093 | + | 0.438840i | 0.0426911 | + | 0.0246477i | 0.521194 | − | 0.853438i | \(-0.325487\pi\) |
−0.478503 | + | 0.878086i | \(0.658820\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.00927 | + | 1.74811i | 0.0565083 | + | 0.0978753i | ||||
\(320\) | 2.28190 | 0.127562 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 10.3239 | + | 0.459146i | 0.575329 | + | 0.0255872i | ||||
\(323\) | − | 19.2349i | − | 1.07026i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.22471 | − | 0.707086i | −0.0679346 | − | 0.0392221i | ||||
\(326\) | − | 15.8983i | − | 0.880525i | ||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −4.25245 | − | 2.45515i | −0.234802 | − | 0.135563i | ||||
\(329\) | −17.9826 | − | 0.799756i | −0.991411 | − | 0.0440920i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.0915 | − | 17.4790i | 0.554680 | − | 0.960733i | −0.443249 | − | 0.896399i | \(-0.646174\pi\) |
0.997928 | − | 0.0643345i | \(-0.0204925\pi\) | |||||||
\(332\) | 2.91353 | − | 5.04638i | 0.159901 | − | 0.276956i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −4.95155 | + | 2.85878i | −0.270937 | + | 0.156425i | ||||
\(335\) | 5.81791 | + | 10.0769i | 0.317866 | + | 0.550561i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.757605 | − | 1.31221i | 0.0412694 | − | 0.0714807i | −0.844653 | − | 0.535314i | \(-0.820193\pi\) |
0.885922 | + | 0.463834i | \(0.153526\pi\) | |||||||
\(338\) | − | 33.6415i | − | 1.82985i | ||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 15.3281 | 0.831285 | ||||||||
\(341\) | 1.10487 | + | 1.91369i | 0.0598319 | + | 0.103632i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.3559 | − | 2.46207i | −0.991124 | − | 0.132939i | ||||
\(344\) | −6.48214 | + | 3.74246i | −0.349494 | + | 0.201780i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 13.1681 | − | 7.60258i | 0.707919 | − | 0.408717i | ||||
\(347\) | −31.2622 | + | 18.0492i | −1.67824 | + | 0.968934i | −0.715461 | + | 0.698652i | \(0.753783\pi\) |
−0.962781 | + | 0.270281i | \(0.912883\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 16.7962 | − | 9.69727i | 0.899078 | − | 0.519083i | 0.0221769 | − | 0.999754i | \(-0.492940\pi\) |
0.876901 | + | 0.480671i | \(0.159607\pi\) | |||||||
\(350\) | 0.0243412 | − | 0.547313i | 0.00130109 | − | 0.0292551i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.546514 | − | 0.946590i | −0.0291293 | − | 0.0504534i | ||||
\(353\) | −4.03818 | −0.214931 | −0.107465 | − | 0.994209i | \(-0.534273\pi\) | ||||
−0.107465 | + | 0.994209i | \(0.534273\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | − | 0.532839i | − | 0.0282801i | ||||||
\(356\) | 8.99707 | − | 15.5834i | 0.476844 | − | 0.825918i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.02986 | − | 3.51582i | −0.107281 | − | 0.185817i | ||||
\(359\) | 21.2649 | − | 12.2773i | 1.12232 | − | 0.647970i | 0.180326 | − | 0.983607i | \(-0.442285\pi\) |
0.941991 | + | 0.335637i | \(0.108952\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.40016 | + | 9.35335i | −0.284219 | + | 0.492282i | ||||
\(362\) | 1.84226 | − | 3.19089i | 0.0968272 | − | 0.167710i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 16.0342 | − | 8.33035i | 0.840420 | − | 0.436629i | ||||
\(365\) | −13.4466 | − | 7.76339i | −0.703827 | − | 0.406354i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 7.25277i | − | 0.378592i | −0.981920 | − | 0.189296i | \(-0.939379\pi\) | ||
0.981920 | − | 0.189296i | \(-0.0606205\pi\) | |||||||
\(368\) | −3.38264 | − | 1.95297i | −0.176332 | − | 0.101805i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 16.3347i | 0.849203i | ||||||||
\(371\) | −0.0301428 | + | 0.677763i | −0.00156494 | + | 0.0351877i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −29.7842 | −1.54217 | −0.771083 | − | 0.636735i | \(-0.780285\pi\) | ||||
−0.771083 | + | 0.636735i | \(0.780285\pi\) | |||||||
\(374\) | −3.67108 | − | 6.35850i | −0.189827 | − | 0.328790i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.89199 | + | 3.40174i | 0.303856 | + | 0.175432i | ||||
\(377\) | 12.6122 | 0.649564 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.11280 | 0.313993 | 0.156997 | − | 0.987599i | \(-0.449819\pi\) | ||||
0.156997 | + | 0.987599i | \(0.449819\pi\) | |||||||
\(380\) | 5.65882 | + | 3.26712i | 0.290291 | + | 0.167600i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 12.8994 | + | 22.3425i | 0.659992 | + | 1.14314i | ||||
\(383\) | 32.4903 | 1.66018 | 0.830088 | − | 0.557632i | \(-0.188290\pi\) | ||||
0.830088 | + | 0.557632i | \(0.188290\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.85584 | + | 3.04232i | −0.298441 | + | 0.155051i | ||||
\(386\) | − | 9.28662i | − | 0.472677i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4.13903 | + | 2.38967i | 0.210127 | + | 0.121317i | ||||
\(389\) | 2.08210i | 0.105567i | 0.998606 | + | 0.0527834i | \(0.0168093\pi\) | ||||
−0.998606 | + | 0.0527834i | \(0.983191\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −22.7221 | − | 13.1186i | −1.14910 | − | 0.663435i | ||||
\(392\) | 5.72754 | + | 4.02434i | 0.289284 | + | 0.203260i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.93119 | + | 5.07696i | −0.147671 | + | 0.255774i | ||||
\(395\) | −8.29754 | + | 14.3718i | −0.417495 | + | 0.723122i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 16.3994 | − | 9.46822i | 0.823064 | − | 0.475196i | −0.0284077 | − | 0.999596i | \(-0.509044\pi\) |
0.851472 | + | 0.524400i | \(0.175710\pi\) | |||||||
\(398\) | 8.03191 | + | 13.9117i | 0.402603 | + | 0.697329i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.103535 | + | 0.179327i | −0.00517674 | + | 0.00896637i | ||||
\(401\) | − | 3.87654i | − | 0.193585i | −0.995305 | − | 0.0967926i | \(-0.969142\pi\) | ||
0.995305 | − | 0.0967926i | \(-0.0308584\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 13.8069 | 0.687769 | ||||||||
\(404\) | 5.22981 | + | 9.05829i | 0.260193 | + | 0.450667i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.25260 | + | 4.33578i | 0.111794 | + | 0.215181i | ||||
\(407\) | 6.77606 | − | 3.91216i | 0.335877 | − | 0.193919i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 14.0286 | − | 8.09940i | 0.693669 | − | 0.400490i | −0.111316 | − | 0.993785i | \(-0.535507\pi\) |
0.804985 | + | 0.593295i | \(0.202173\pi\) | |||||||
\(410\) | 9.70367 | − | 5.60242i | 0.479230 | − | 0.276684i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −11.0398 | + | 6.37383i | −0.543892 | + | 0.314016i | ||||
\(413\) | 2.76421 | − | 4.33119i | 0.136018 | − | 0.213124i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6.64838 | + | 11.5153i | 0.326356 | + | 0.565266i | ||||
\(416\) | −6.82946 | −0.334842 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | − | 3.12989i | − | 0.153088i | ||||||
\(419\) | −1.63790 | + | 2.83692i | −0.0800165 | + | 0.138593i | −0.903257 | − | 0.429100i | \(-0.858831\pi\) |
0.823240 | + | 0.567693i | \(0.192164\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.844823 | − | 1.46328i | −0.0411741 | − | 0.0713157i | 0.844704 | − | 0.535234i | \(-0.179777\pi\) |
−0.885878 | + | 0.463918i | \(0.846443\pi\) | |||||||
\(422\) | −21.4325 | + | 12.3741i | −1.04332 | + | 0.602361i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.128212 | − | 0.222069i | 0.00622651 | − | 0.0107846i | ||||
\(425\) | −0.695470 | + | 1.20459i | −0.0337353 | + | 0.0584312i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.156524 | + | 3.51945i | −0.00757473 | + | 0.170318i | ||||
\(428\) | 8.25865 | + | 4.76813i | 0.399197 | + | 0.230476i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | − | 17.0799i | − | 0.823664i | ||||||
\(431\) | 0.0157083 | + | 0.00906921i | 0.000756644 | + | 0.000436848i | 0.500378 | − | 0.865807i | \(-0.333194\pi\) |
−0.499622 | + | 0.866244i | \(0.666528\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 5.36964i | − | 0.258048i | −0.991641 | − | 0.129024i | \(-0.958815\pi\) | ||
0.991641 | − | 0.129024i | \(-0.0411845\pi\) | |||||||
\(434\) | 2.46596 | + | 4.74646i | 0.118370 | + | 0.227838i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.76503 | −0.276095 | ||||||||
\(437\) | −5.59233 | − | 9.68621i | −0.267518 | − | 0.463354i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −18.9141 | − | 10.9201i | −0.902720 | − | 0.521186i | −0.0246384 | − | 0.999696i | \(-0.507843\pi\) |
−0.878082 | + | 0.478511i | \(0.841177\pi\) | |||||||
\(440\) | 2.49418 | 0.118905 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −45.8753 | −2.18206 | ||||||||
\(443\) | −1.81806 | − | 1.04966i | −0.0863785 | − | 0.0498707i | 0.456189 | − | 0.889883i | \(-0.349214\pi\) |
−0.542567 | + | 0.840012i | \(0.682548\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 20.5304 | + | 35.5597i | 0.973235 | + | 1.68569i | ||||
\(446\) | 3.69551 | 0.174988 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.21977 | − | 2.34780i | −0.0576286 | − | 0.110923i | ||||
\(449\) | 27.1356i | 1.28061i | 0.768122 | + | 0.640303i | \(0.221191\pi\) | ||||
−0.768122 | + | 0.640303i | \(0.778809\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.64805 | − | 2.68355i | −0.218868 | − | 0.126364i | ||||
\(452\) | 11.9318i | 0.561227i | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 3.99322 | + | 2.30549i | 0.187411 | + | 0.108202i | ||||
\(455\) | −1.83193 | + | 41.1910i | −0.0858822 | + | 1.93107i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.21598 | + | 7.30229i | −0.197215 | + | 0.341587i | −0.947624 | − | 0.319387i | \(-0.896523\pi\) |
0.750409 | + | 0.660974i | \(0.229856\pi\) | |||||||
\(458\) | 7.98016 | − | 13.8220i | 0.372888 | − | 0.645862i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 7.71884 | − | 4.45647i | 0.359893 | − | 0.207784i | ||||
\(461\) | 4.67153 | + | 8.09133i | 0.217575 | + | 0.376851i | 0.954066 | − | 0.299596i | \(-0.0968520\pi\) |
−0.736491 | + | 0.676447i | \(0.763519\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −12.7281 | + | 22.0458i | −0.591526 | + | 1.02455i | 0.402501 | + | 0.915420i | \(0.368141\pi\) |
−0.994027 | + | 0.109134i | \(0.965192\pi\) | |||||||
\(464\) | − | 1.84674i | − | 0.0857329i | ||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.13153 | 0.330362 | ||||||||
\(467\) | −10.3199 | − | 17.8746i | −0.477547 | − | 0.827136i | 0.522122 | − | 0.852871i | \(-0.325141\pi\) |
−0.999669 | + | 0.0257351i | \(0.991807\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 7.25803 | − | 11.3724i | 0.335145 | − | 0.525131i | ||||
\(470\) | −13.4449 | + | 7.76244i | −0.620169 | + | 0.358055i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −1.68184 | + | 0.971009i | −0.0774128 | + | 0.0446943i | ||||
\(473\) | −7.08516 | + | 4.09062i | −0.325776 | + | 0.188087i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.513506 | + | 0.296473i | −0.0235613 | + | 0.0136031i | ||||
\(476\) | −8.19350 | − | 15.7708i | −0.375548 | − | 0.722853i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 7.86462 | + | 13.6219i | 0.359720 | + | 0.623053i | ||||
\(479\) | −6.14884 | −0.280948 | −0.140474 | − | 0.990084i | \(-0.544863\pi\) | ||||
−0.140474 | + | 0.990084i | \(0.544863\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 48.8879i | − | 2.22910i | ||||||
\(482\) | 0.804201 | − | 1.39292i | 0.0366303 | − | 0.0634456i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.90265 | + | 8.49163i | 0.222848 | + | 0.385983i | ||||
\(485\) | −9.44486 | + | 5.45299i | −0.428869 | + | 0.247608i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −9.86365 | + | 17.0843i | −0.446965 | + | 0.774166i | −0.998187 | − | 0.0601930i | \(-0.980828\pi\) |
0.551222 | + | 0.834359i | \(0.314162\pi\) | |||||||
\(488\) | 0.665771 | − | 1.15315i | 0.0301380 | − | 0.0522006i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −14.4877 | + | 6.72711i | −0.654486 | + | 0.303900i | ||||
\(491\) | −3.42935 | − | 1.97994i | −0.154764 | − | 0.0893533i | 0.420618 | − | 0.907238i | \(-0.361813\pi\) |
−0.575382 | + | 0.817885i | \(0.695147\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 12.4051i | − | 0.558696i | ||||||
\(494\) | −16.9362 | − | 9.77810i | −0.761994 | − | 0.439938i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 2.02166i | − | 0.0907754i | ||||||
\(497\) | −0.548227 | + | 0.284824i | −0.0245913 | + | 0.0127761i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −36.8183 | −1.64822 | −0.824108 | − | 0.566433i | \(-0.808323\pi\) | ||||
−0.824108 | + | 0.566433i | \(0.808323\pi\) | |||||||
\(500\) | 5.46850 | + | 9.47171i | 0.244559 | + | 0.423588i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 15.9113 | + | 9.18641i | 0.710158 | + | 0.410010i | ||||
\(503\) | 12.3802 | 0.552004 | 0.276002 | − | 0.961157i | \(-0.410990\pi\) | ||||
0.276002 | + | 0.961157i | \(0.410990\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −23.8678 | −1.06210 | ||||||||
\(506\) | −3.69731 | − | 2.13465i | −0.164366 | − | 0.0948966i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −5.45666 | − | 9.45121i | −0.242100 | − | 0.419329i | ||||
\(509\) | 15.0906 | 0.668877 | 0.334438 | − | 0.942418i | \(-0.391453\pi\) | ||||
0.334438 | + | 0.942418i | \(0.391453\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.799855 | + | 17.9848i | −0.0353835 | + | 0.795599i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 15.1326 | + | 8.73678i | 0.667468 | + | 0.385363i | ||||
\(515\) | − | 29.0889i | − | 1.28181i | ||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.44011 | + | 3.71820i | 0.283236 | + | 0.163526i | ||||
\(518\) | 16.8065 | − | 8.73158i | 0.738435 | − | 0.383643i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 7.79207 | − | 13.4963i | 0.341705 | − | 0.591850i | ||||
\(521\) | −12.4908 | + | 21.6347i | −0.547231 | + | 0.947832i | 0.451232 | + | 0.892407i | \(0.350985\pi\) |
−0.998463 | + | 0.0554255i | \(0.982348\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 21.6818 | − | 12.5180i | 0.948077 | − | 0.547372i | 0.0555939 | − | 0.998453i | \(-0.482295\pi\) |
0.892483 | + | 0.451081i | \(0.148961\pi\) | |||||||
\(524\) | −0.989677 | − | 1.71417i | −0.0432342 | − | 0.0748839i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 13.8072 | − | 23.9148i | 0.602023 | − | 1.04273i | ||||
\(527\) | − | 13.5801i | − | 0.591556i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 7.74371 | 0.336683 | ||||||||
\(530\) | 0.292567 | + | 0.506740i | 0.0127083 | + | 0.0220114i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.336608 | − | 7.56865i | 0.0145938 | − | 0.328143i | ||||
\(533\) | −29.0419 | + | 16.7674i | −1.25795 | + | 0.726275i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −18.8454 | + | 10.8804i | −0.814759 | + | 0.470401i | ||||
\(536\) | −4.41602 | + | 2.54959i | −0.190743 | + | 0.110126i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 5.86484 | − | 3.38607i | 0.252851 | − | 0.145984i | ||||
\(539\) | 6.26036 | + | 4.39871i | 0.269653 | + | 0.189466i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.23042 | + | 12.5235i | 0.310860 | + | 0.538426i | 0.978549 | − | 0.206015i | \(-0.0660496\pi\) |
−0.667689 | + | 0.744441i | \(0.732716\pi\) | |||||||
\(542\) | −8.35798 | −0.359006 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 6.71727i | 0.288000i | ||||||||
\(545\) | 6.57761 | − | 11.3928i | 0.281754 | − | 0.488012i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 16.9160 | + | 29.2994i | 0.723277 | + | 1.25275i | 0.959679 | + | 0.281098i | \(0.0906985\pi\) |
−0.236402 | + | 0.971655i | \(0.575968\pi\) | |||||||
\(548\) | −2.86923 | + | 1.65655i | −0.122567 | + | 0.0707642i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.113166 | + | 0.196010i | −0.00482543 | + | 0.00835789i | ||||
\(551\) | 2.64408 | − | 4.57968i | 0.112642 | − | 0.195101i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 19.2222 | + | 0.854888i | 0.817410 | + | 0.0363535i | ||||
\(554\) | 14.0403 | + | 8.10617i | 0.596515 | + | 0.344398i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.47216i | 0.147252i | ||||||||
\(557\) | −5.09456 | − | 2.94134i | −0.215863 | − | 0.124629i | 0.388170 | − | 0.921588i | \(-0.373107\pi\) |
−0.604033 | + | 0.796959i | \(0.706441\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 51.1180i | 2.16206i | ||||||||
\(560\) | 6.03138 | + | 0.268240i | 0.254872 | + | 0.0113352i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −29.2545 | −1.23403 | ||||||||
\(563\) | −7.78184 | − | 13.4785i | −0.327966 | − | 0.568053i | 0.654142 | − | 0.756371i | \(-0.273030\pi\) |
−0.982108 | + | 0.188318i | \(0.939696\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −23.5795 | − | 13.6136i | −0.991997 | − | 0.572730i | ||||
\(566\) | −1.43448 | −0.0602958 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.233507 | 0.00979772 | ||||||||
\(569\) | −22.6993 | − | 13.1055i | −0.951606 | − | 0.549410i | −0.0580267 | − | 0.998315i | \(-0.518481\pi\) |
−0.893580 | + | 0.448905i | \(0.851814\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −12.8090 | − | 22.1859i | −0.536041 | − | 0.928451i | −0.999112 | − | 0.0421295i | \(-0.986586\pi\) |
0.463071 | − | 0.886321i | \(-0.346748\pi\) | |||||||
\(572\) | −7.46479 | −0.312118 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −10.9512 | − | 6.98919i | −0.457095 | − | 0.291723i | ||||
\(575\) | 0.808799i | 0.0337292i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 28.0540 | + | 16.1970i | 1.16790 | + | 0.674288i | 0.953185 | − | 0.302388i | \(-0.0977839\pi\) |
0.214717 | + | 0.976676i | \(0.431117\pi\) | |||||||
\(578\) | 28.1217i | 1.16971i | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3.64950 | + | 2.10704i | 0.151537 | + | 0.0874901i | ||||
\(581\) | 8.29407 | − | 12.9958i | 0.344096 | − | 0.539157i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.140139 | − | 0.242728i | 0.00580397 | − | 0.0100528i | ||||
\(584\) | 3.40216 | − | 5.89272i | 0.140782 | − | 0.243842i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 18.7511 | − | 10.8260i | 0.774601 | − | 0.447216i | ||||
\(587\) | −4.76851 | − | 8.25931i | −0.196818 | − | 0.340898i | 0.750677 | − | 0.660669i | \(-0.229727\pi\) |
−0.947495 | + | 0.319771i | \(0.896394\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.89453 | − | 5.01347i | 0.119267 | − | 0.206576i | ||||
\(590\) | − | 4.43149i | − | 0.182442i | ||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −7.15840 | −0.294208 | ||||||||
\(593\) | −1.89409 | − | 3.28065i | −0.0777808 | − | 0.134720i | 0.824511 | − | 0.565845i | \(-0.191450\pi\) |
−0.902292 | + | 0.431125i | \(0.858117\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 40.5144 | + | 1.80184i | 1.66093 | + | 0.0738681i | ||||
\(596\) | −11.5534 | + | 6.67036i | −0.473246 | + | 0.273229i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −23.1016 | + | 13.3377i | −0.944693 | + | 0.545419i | ||||
\(599\) | −31.2971 | + | 18.0694i | −1.27876 | + | 0.738295i | −0.976621 | − | 0.214968i | \(-0.931035\pi\) |
−0.302143 | + | 0.953263i | \(0.597702\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.8275 | − | 7.98332i | 0.564036 | − | 0.325646i | −0.190728 | − | 0.981643i | \(-0.561085\pi\) |
0.754764 | + | 0.655997i | \(0.227751\pi\) | |||||||
\(602\) | −17.5731 | + | 9.12987i | −0.716227 | + | 0.372106i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −2.66995 | − | 4.62450i | −0.108639 | − | 0.188168i | ||||
\(605\) | −22.3747 | −0.909661 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 22.6540i | 0.919498i | 0.888049 | + | 0.459749i | \(0.152061\pi\) | ||||
−0.888049 | + | 0.459749i | \(0.847939\pi\) | |||||||
\(608\) | −1.43175 | + | 2.47987i | −0.0580653 | + | 0.100572i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.51922 | + | 2.63137i | 0.0615115 | + | 0.106541i | ||||
\(611\) | 40.2391 | − | 23.2321i | 1.62790 | − | 0.939868i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.84758 | + | 3.20011i | −0.0746232 | + | 0.129251i | −0.900922 | − | 0.433980i | \(-0.857109\pi\) |
0.826299 | + | 0.563231i | \(0.190442\pi\) | |||||||
\(614\) | 6.73661 | − | 11.6682i | 0.271868 | − | 0.470888i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.33324 | − | 2.56621i | −0.0537178 | − | 0.103396i | ||||
\(617\) | −22.5187 | − | 13.0011i | −0.906567 | − | 0.523407i | −0.0272418 | − | 0.999629i | \(-0.508672\pi\) |
−0.879325 | + | 0.476222i | \(0.842006\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 23.7321i | 0.953873i | 0.878938 | + | 0.476937i | \(0.158253\pi\) | ||||
−0.878938 | + | 0.476937i | \(0.841747\pi\) | |||||||
\(620\) | 3.99518 | + | 2.30662i | 0.160450 | + | 0.0926360i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 28.7338i | − | 1.15212i | ||||||
\(623\) | 25.6123 | − | 40.1314i | 1.02614 | − | 1.60783i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −25.9925 | −1.03970 | ||||||||
\(626\) | 11.8147 | + | 20.4636i | 0.472209 | + | 0.817890i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −15.3003 | − | 8.83364i | −0.610549 | − | 0.352501i | ||||
\(629\) | −48.0848 | −1.91727 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.664631 | −0.0264586 | −0.0132293 | − | 0.999912i | \(-0.504211\pi\) | ||||
−0.0132293 | + | 0.999912i | \(0.504211\pi\) | |||||||
\(632\) | −6.29816 | − | 3.63624i | −0.250527 | − | 0.144642i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.438840 | − | 0.760093i | −0.0174286 | − | 0.0301872i | ||||
\(635\) | 24.9031 | 0.988249 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 43.3599 | − | 20.1334i | 1.71798 | − | 0.797715i | ||||
\(638\) | − | 2.01854i | − | 0.0799148i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.97618 | − | 1.14095i | −0.0781155 | − | 0.0451000i | ||||
\(641\) | 8.40006i | 0.331782i | 0.986144 | + | 0.165891i | \(0.0530500\pi\) | ||||
−0.986144 | + | 0.165891i | \(0.946950\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.237974 | + | 0.137394i | 0.00938478 | + | 0.00541831i | 0.504685 | − | 0.863304i | \(-0.331609\pi\) |
−0.495300 | + | 0.868722i | \(0.664942\pi\) | |||||||
\(644\) | −8.71120 | − | 5.55959i | −0.343269 | − | 0.219079i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.61747 | + | 16.6580i | −0.378394 | + | 0.655398i | ||||
\(647\) | 17.0508 | − | 29.5328i | 0.670335 | − | 1.16105i | −0.307474 | − | 0.951556i | \(-0.599484\pi\) |
0.977809 | − | 0.209498i | \(-0.0671829\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.83830 | + | 1.06134i | −0.0721594 | + | 0.0416612i | ||||
\(650\) | 0.707086 | + | 1.22471i | 0.0277342 | + | 0.0480370i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −7.94915 | + | 13.7683i | −0.311313 | + | 0.539209i | ||||
\(653\) | 1.71306i | 0.0670373i | 0.999438 | + | 0.0335187i | \(0.0106713\pi\) | ||||
−0.999438 | + | 0.0335187i | \(0.989329\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 4.51669 | 0.176482 | ||||||||
\(656\) | 2.45515 | + | 4.25245i | 0.0958576 | + | 0.166030i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 15.1735 | + | 9.68389i | 0.591524 | + | 0.377517i | ||||
\(659\) | −30.0556 | + | 17.3526i | −1.17080 | + | 0.675961i | −0.953868 | − | 0.300226i | \(-0.902938\pi\) |
−0.216930 | + | 0.976187i | \(0.569604\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −33.2075 | + | 19.1724i | −1.29162 | + | 0.745718i | −0.978942 | − | 0.204140i | \(-0.934560\pi\) |
−0.312681 | + | 0.949858i | \(0.601227\pi\) | |||||||
\(662\) | −17.4790 | + | 10.0915i | −0.679341 | + | 0.392218i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −5.04638 | + | 2.91353i | −0.195838 | + | 0.113067i | ||||
\(665\) | 14.5730 | + | 9.30065i | 0.565116 | + | 0.360664i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.60662 | − | 6.24686i | −0.139649 | − | 0.241879i | ||||
\(668\) | 5.71756 | 0.221219 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | − | 11.6358i | − | 0.449531i | ||||||
\(671\) | 0.727706 | − | 1.26042i | 0.0280928 | − | 0.0486581i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.33538 | − | 14.4373i | −0.321305 | − | 0.556517i | 0.659452 | − | 0.751746i | \(-0.270788\pi\) |
−0.980758 | + | 0.195229i | \(0.937455\pi\) | |||||||
\(674\) | −1.31221 | + | 0.757605i | −0.0505445 | + | 0.0291819i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −16.8207 | + | 29.1344i | −0.646951 | + | 1.12055i | ||||
\(677\) | −10.4682 | + | 18.1315i | −0.402327 | + | 0.696850i | −0.994006 | − | 0.109323i | \(-0.965132\pi\) |
0.591680 | + | 0.806173i | \(0.298465\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 10.6591 | + | 6.80278i | 0.409060 | + | 0.261067i | ||||
\(680\) | −13.2746 | − | 7.66407i | −0.509056 | − | 0.293903i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | − | 2.20974i | − | 0.0846151i | ||||||
\(683\) | 6.62003 | + | 3.82208i | 0.253308 | + | 0.146248i | 0.621278 | − | 0.783590i | \(-0.286614\pi\) |
−0.367970 | + | 0.929838i | \(0.619947\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 7.56016i | − | 0.288859i | ||||||
\(686\) | 14.6656 | + | 11.3102i | 0.559936 | + | 0.431824i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7.48493 | 0.285360 | ||||||||
\(689\) | −0.875617 | − | 1.51661i | −0.0333583 | − | 0.0577783i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.10461 | + | 5.25655i | 0.346356 | + | 0.199969i | 0.663079 | − | 0.748549i | \(-0.269249\pi\) |
−0.316723 | + | 0.948518i | \(0.602583\pi\) | |||||||
\(692\) | −15.2052 | −0.578013 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 36.0985 | 1.37028 | ||||||||
\(695\) | −6.86162 | − | 3.96156i | −0.260276 | − | 0.150270i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 16.4919 | + | 28.5648i | 0.624676 | + | 1.08197i | ||||
\(698\) | −19.3945 | −0.734094 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.294737 | + | 0.461817i | −0.0111400 | + | 0.0174550i | ||||
\(701\) | 15.7336i | 0.594250i | 0.954839 | + | 0.297125i | \(0.0960277\pi\) | ||||
−0.954839 | + | 0.297125i | \(0.903972\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −17.7519 | − | 10.2491i | −0.669526 | − | 0.386551i | ||||
\(704\) | 1.09303i | 0.0411950i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.49717 | + | 2.01909i | 0.131618 | + | 0.0759895i | ||||
\(707\) | 12.7583 | + | 24.5571i | 0.479825 | + | 0.923565i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.44973 | − | 2.51100i | 0.0544456 | − | 0.0943025i | −0.837518 | − | 0.546410i | \(-0.815994\pi\) |
0.891964 | + | 0.452107i | \(0.149328\pi\) | |||||||
\(710\) | −0.266419 | + | 0.461452i | −0.00999854 | + | 0.0173180i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −15.5834 | + | 8.99707i | −0.584012 | + | 0.337179i | ||||
\(713\) | −3.94824 | − | 6.83855i | −0.147863 | − | 0.256106i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 8.51695 | − | 14.7518i | 0.318516 | − | 0.551686i | ||||
\(716\) | 4.05972i | 0.151719i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −24.5546 | −0.916368 | ||||||||
\(719\) | 20.5644 | + | 35.6186i | 0.766924 | + | 1.32835i | 0.939223 | + | 0.343307i | \(0.111547\pi\) |
−0.172299 | + | 0.985045i | \(0.555120\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −29.9290 | + | 15.5492i | −1.11461 | + | 0.579082i | ||||
\(722\) | 9.35335 | − | 5.40016i | 0.348096 | − | 0.200973i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −3.19089 | + | 1.84226i | −0.118589 | + | 0.0684671i | ||||
\(725\) | −0.331172 | + | 0.191202i | −0.0122994 | + | 0.00710106i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 33.6212 | − | 19.4112i | 1.24694 | − | 0.719921i | 0.276442 | − | 0.961031i | \(-0.410845\pi\) |
0.970498 | + | 0.241109i | \(0.0775112\pi\) | |||||||
\(728\) | −18.0512 | − | 0.802809i | −0.669022 | − | 0.0297541i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 7.76339 | + | 13.4466i | 0.287336 | + | 0.497681i | ||||
\(731\) | 50.2783 | 1.85961 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 26.0226i | − | 0.961166i | −0.876949 | − | 0.480583i | \(-0.840425\pi\) | ||
0.876949 | − | 0.480583i | \(-0.159575\pi\) | |||||||
\(734\) | −3.62639 | + | 6.28109i | −0.133852 | + | 0.231839i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.95297 | + | 3.38264i | 0.0719873 | + | 0.124686i | ||||
\(737\) | −4.82683 | + | 2.78677i | −0.177799 | + | 0.102652i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.70004 | + | 6.40866i | −0.136108 | + | 0.235746i | −0.926020 | − | 0.377474i | \(-0.876793\pi\) |
0.789912 | + | 0.613220i | \(0.210126\pi\) | |||||||
\(740\) | 8.16737 | − | 14.1463i | 0.300239 | − | 0.520028i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.364986 | − | 0.571889i | 0.0133991 | − | 0.0209947i | ||||
\(743\) | 24.3241 | + | 14.0435i | 0.892366 | + | 0.515208i | 0.874716 | − | 0.484636i | \(-0.161048\pi\) |
0.0176504 | + | 0.999844i | \(0.494381\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 30.4422i | − | 1.11532i | ||||||
\(746\) | 25.7939 | + | 14.8921i | 0.944380 | + | 0.545238i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 7.34216i | 0.268456i | ||||||||
\(749\) | 21.2683 | + | 13.5737i | 0.777125 | + | 0.495971i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 42.3793 | 1.54644 | 0.773221 | − | 0.634136i | \(-0.218644\pi\) | ||||
0.773221 | + | 0.634136i | \(0.218644\pi\) | |||||||
\(752\) | −3.40174 | − | 5.89199i | −0.124049 | − | 0.214859i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −10.9225 | − | 6.30612i | −0.397775 | − | 0.229655i | ||||
\(755\) | 12.1851 | 0.443463 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −41.6462 | −1.51366 | −0.756828 | − | 0.653614i | \(-0.773252\pi\) | ||||
−0.756828 | + | 0.653614i | \(0.773252\pi\) | |||||||
\(758\) | −5.29384 | − | 3.05640i | −0.192281 | − | 0.111013i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.26712 | − | 5.65882i | −0.118511 | − | 0.205267i | ||||
\(761\) | 34.9645 | 1.26746 | 0.633732 | − | 0.773553i | \(-0.281522\pi\) | ||||
0.633732 | + | 0.773553i | \(0.281522\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −15.2378 | − | 0.677684i | −0.551644 | − | 0.0245338i | ||||
\(764\) | − | 25.7989i | − | 0.933370i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −28.1374 | − | 16.2451i | −1.01665 | − | 0.586961i | ||||
\(767\) | 13.2629i | 0.478897i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −18.9307 | − | 10.9296i | −0.682658 | − | 0.394133i | 0.118198 | − | 0.992990i | \(-0.462288\pi\) |
−0.800856 | + | 0.598857i | \(0.795622\pi\) | |||||||
\(770\) | 6.59247 | + | 0.293193i | 0.237576 | + | 0.0105660i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.64331 | + | 8.04245i | −0.167116 | + | 0.289454i | ||||
\(773\) | 10.6368 | − | 18.4235i | 0.382579 | − | 0.662646i | −0.608851 | − | 0.793285i | \(-0.708369\pi\) |
0.991430 | + | 0.130638i | \(0.0417026\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.362540 | + | 0.209312i | −0.0130228 | + | 0.00751872i | ||||
\(776\) | −2.38967 | − | 4.13903i | −0.0857842 | − | 0.148583i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.04105 | − | 1.80316i | 0.0373235 | − | 0.0646463i | ||||
\(779\) | 14.0607i | 0.503777i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.255229 | 0.00913282 | ||||||||
\(782\) | 13.1186 | + | 22.7221i | 0.469120 | + | 0.812539i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −2.94803 | − | 6.34895i | −0.105287 | − | 0.226748i | ||||
\(785\) | 34.9138 | − | 20.1575i | 1.24613 | − | 0.719452i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 40.7238 | − | 23.5119i | 1.45165 | − | 0.838108i | 0.453070 | − | 0.891475i | \(-0.350329\pi\) |
0.998575 | + | 0.0533671i | \(0.0169954\pi\) | |||||||
\(788\) | 5.07696 | − | 2.93119i | 0.180859 | − | 0.104419i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 14.3718 | − | 8.29754i | 0.511325 | − | 0.295213i | ||||
\(791\) | −1.40260 | + | 31.5375i | −0.0498707 | + | 1.12134i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.54685 | − | 7.87538i | −0.161463 | − | 0.279663i | ||||
\(794\) | −18.9364 | −0.672029 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | − | 16.0638i | − | 0.569367i | ||||||
\(797\) | 14.5203 | − | 25.1499i | 0.514336 | − | 0.890856i | −0.485526 | − | 0.874222i | \(-0.661372\pi\) |
0.999862 | − | 0.0166334i | \(-0.00529483\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −22.8504 | − | 39.5781i | −0.808390 | − | 1.40017i | ||||
\(800\) | 0.179327 | − | 0.103535i | 0.00634018 | − | 0.00366051i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −1.93827 | + | 3.35718i | −0.0684427 | + | 0.118546i | ||||
\(803\) | 3.71866 | − | 6.44090i | 0.131229 | − | 0.227294i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 20.9258 | − | 10.8717i | 0.737538 | − | 0.383178i | ||||
\(806\) | −11.9571 | − | 6.90343i | −0.421171 | − | 0.243163i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | − | 10.4596i | − | 0.367968i | ||||||
\(809\) | 47.5777 | + | 27.4690i | 1.67274 | + | 0.965759i | 0.966093 | + | 0.258195i | \(0.0831279\pi\) |
0.706650 | + | 0.707563i | \(0.250205\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 34.0190i | − | 1.19457i | −0.802030 | − | 0.597284i | \(-0.796246\pi\) | ||
0.802030 | − | 0.597284i | \(-0.203754\pi\) | |||||||
\(812\) | 0.217086 | − | 4.88120i | 0.00761824 | − | 0.171296i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −7.82433 | −0.274242 | ||||||||
\(815\) | −18.1392 | − | 31.4179i | −0.635387 | − | 1.10052i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 18.5617 | + | 10.7166i | 0.649390 | + | 0.374926i | ||||
\(818\) | −16.1988 | −0.566378 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −11.2048 | −0.391290 | ||||||||
\(821\) | 6.92921 | + | 4.00058i | 0.241831 | + | 0.139621i | 0.616018 | − | 0.787732i | \(-0.288745\pi\) |
−0.374187 | + | 0.927353i | \(0.622078\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.51245 | − | 6.08375i | −0.122436 | − | 0.212066i | 0.798291 | − | 0.602271i | \(-0.205737\pi\) |
−0.920728 | + | 0.390205i | \(0.872404\pi\) | |||||||
\(824\) | 12.7477 | 0.444086 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −4.55947 | + | 2.36881i | −0.158644 | + | 0.0824215i | ||||
\(827\) | − | 37.4952i | − | 1.30384i | −0.758290 | − | 0.651918i | \(-0.773965\pi\) | ||
0.758290 | − | 0.651918i | \(-0.226035\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −2.96310 | − | 1.71074i | −0.102913 | − | 0.0594166i | 0.447660 | − | 0.894204i | \(-0.352257\pi\) |
−0.550573 | + | 0.834787i | \(0.685591\pi\) | |||||||
\(830\) | − | 13.2968i | − | 0.461538i | ||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 5.91448 | + | 3.41473i | 0.205048 | + | 0.118384i | ||||
\(833\) | −19.8027 | − | 42.6476i | −0.686122 | − | 1.47765i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −6.52345 | + | 11.2989i | −0.225753 | + | 0.391016i | ||||
\(836\) | −1.56495 | + | 2.71057i | −0.0541248 | + | 0.0937470i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 2.83692 | − | 1.63790i | 0.0979998 | − | 0.0565802i | ||||
\(839\) | 4.87530 | + | 8.44428i | 0.168314 | + | 0.291529i | 0.937827 | − | 0.347102i | \(-0.112834\pi\) |
−0.769513 | + | 0.638631i | \(0.779501\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −12.7948 | + | 22.1612i | −0.441199 | + | 0.764179i | ||||
\(842\) | 1.68965i | 0.0582290i | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 24.7482 | 0.851867 | ||||||||
\(845\) | −38.3832 | − | 66.4817i | −1.32042 | − | 2.28704i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 11.9602 | + | 23.0209i | 0.410956 | + | 0.791006i | ||||
\(848\) | −0.222069 | + | 0.128212i | −0.00762589 | + | 0.00440281i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 1.20459 | − | 0.695470i | 0.0413171 | − | 0.0238544i | ||||
\(851\) | −24.2142 | + | 13.9801i | −0.830053 | + | 0.479232i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 21.2846 | − | 12.2887i | 0.728771 | − | 0.420756i | −0.0892016 | − | 0.996014i | \(-0.528432\pi\) |
0.817972 | + | 0.575258i | \(0.195098\pi\) | |||||||
\(854\) | 1.89528 | − | 2.96967i | 0.0648551 | − | 0.101620i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.76813 | − | 8.25865i | −0.162971 | − | 0.282275i | ||||
\(857\) | 29.9367 | 1.02262 | 0.511309 | − | 0.859397i | \(-0.329161\pi\) | ||||
0.511309 | + | 0.859397i | \(0.329161\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 53.8556i | 1.83753i | 0.394805 | + | 0.918765i | \(0.370812\pi\) | ||||
−0.394805 | + | 0.918765i | \(0.629188\pi\) | |||||||
\(860\) | −8.53993 | + | 14.7916i | −0.291209 | + | 0.504389i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.00906921 | − | 0.0157083i | −0.000308899 | − | 0.000535028i | ||||
\(863\) | −42.6599 | + | 24.6297i | −1.45216 | + | 0.838404i | −0.998604 | − | 0.0528239i | \(-0.983178\pi\) |
−0.453555 | + | 0.891228i | \(0.649844\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 17.3483 | − | 30.0482i | 0.589861 | − | 1.02167i | ||||
\(866\) | −2.68482 | + | 4.65025i | −0.0912339 | + | 0.158022i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.237649 | − | 5.34354i | 0.00806632 | − | 0.181372i | ||||
\(869\) | −6.88406 | − | 3.97451i | −0.233526 | − | 0.134826i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 34.8246i | 1.17999i | ||||||||
\(872\) | 4.99266 | + | 2.88251i | 0.169073 | + | 0.0976142i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 11.1847i | 0.378327i | ||||||||
\(875\) | 13.3406 | + | 25.6779i | 0.450994 | + | 0.868071i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 19.6076 | 0.662103 | 0.331051 | − | 0.943613i | \(-0.392597\pi\) | ||||
0.331051 | + | 0.943613i | \(0.392597\pi\) | |||||||
\(878\) | 10.9201 | + | 18.9141i | 0.368534 | + | 0.638319i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.16002 | − | 1.24709i | −0.0728144 | − | 0.0420394i | ||||
\(881\) | −6.20452 | −0.209036 | −0.104518 | − | 0.994523i | \(-0.533330\pi\) | ||||
−0.104518 | + | 0.994523i | \(0.533330\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 26.8733 | 0.904359 | 0.452180 | − | 0.891927i | \(-0.350647\pi\) | ||||
0.452180 | + | 0.891927i | \(0.350647\pi\) | |||||||
\(884\) | 39.7291 | + | 22.9376i | 1.33624 | + | 0.771476i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 1.04966 | + | 1.81806i | 0.0352639 | + | 0.0610788i | ||||
\(887\) | −5.87359 | −0.197216 | −0.0986079 | − | 0.995126i | \(-0.531439\pi\) | ||||
−0.0986079 | + | 0.995126i | \(0.531439\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −13.3117 | − | 25.6223i | −0.446460 | − | 0.859344i | ||||
\(890\) | − | 41.0608i | − | 1.37636i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −3.20041 | − | 1.84776i | −0.107158 | − | 0.0618675i | ||||
\(893\) | − | 19.4818i | − | 0.651935i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −8.02276 | − | 4.63194i | −0.268171 | − | 0.154829i | ||||
\(896\) | −0.117551 | + | 2.64314i | −0.00392710 | + | 0.0883011i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 13.5678 | − | 23.5001i | 0.452763 | − | 0.784208i | ||||
\(899\) | 1.86675 | − | 3.23330i | 0.0622595 | − | 0.107837i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.49170 | + | 0.861233i | −0.0496957 | + | 0.0286918i | ||||
\(902\) | 2.68355 | + | 4.64805i | 0.0893525 | + | 0.154763i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 5.96592 | − | 10.3333i | 0.198424 | − | 0.343680i | ||||
\(905\) | − | 8.40772i | − | 0.279482i | ||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −49.2610 | −1.63568 | −0.817842 | − | 0.575443i | \(-0.804830\pi\) | ||||
−0.817842 | + | 0.575443i | \(0.804830\pi\) | |||||||
\(908\) | −2.30549 | − | 3.99322i | −0.0765102 | − | 0.132520i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 22.1820 | − | 34.7565i | 0.735327 | − | 1.15217i | ||||
\(911\) | −14.0032 | + | 8.08474i | −0.463946 | + | 0.267859i | −0.713702 | − | 0.700450i | \(-0.752983\pi\) |
0.249756 | + | 0.968309i | \(0.419650\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.51584 | + | 3.18457i | −0.182548 | + | 0.105394i | ||||
\(914\) | 7.30229 | − | 4.21598i | 0.241538 | − | 0.139452i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −13.8220 | + | 7.98016i | −0.456693 | + | 0.263672i | ||||
\(917\) | −2.41435 | − | 4.64713i | −0.0797289 | − | 0.153462i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −26.5159 | − | 45.9269i | −0.874680 | − | 1.51499i | −0.857104 | − | 0.515144i | \(-0.827738\pi\) |
−0.0175762 | − | 0.999846i | \(-0.505595\pi\) | |||||||
\(920\) | −8.91294 | −0.293851 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | − | 9.34306i | − | 0.307697i | ||||||
\(923\) | 0.797361 | − | 1.38107i | 0.0262455 | − | 0.0454585i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.741142 | + | 1.28370i | 0.0243686 | + | 0.0422077i | ||||
\(926\) | 22.0458 | − | 12.7281i | 0.724469 | − | 0.418272i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.923371 | + | 1.59933i | −0.0303112 | + | 0.0525005i | ||||
\(929\) | −1.47585 | + | 2.55624i | −0.0484209 | + | 0.0838675i | −0.889220 | − | 0.457480i | \(-0.848752\pi\) |
0.840799 | + | 0.541347i | \(0.182086\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.77940 | − | 19.9654i | 0.0583176 | − | 0.654340i | ||||
\(932\) | −6.17609 | − | 3.56577i | −0.202305 | − | 0.116801i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 20.6398i | 0.675354i | ||||||||
\(935\) | −14.5095 | − | 8.37704i | −0.474510 | − | 0.273958i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 27.1986i | 0.888540i | 0.895893 | + | 0.444270i | \(0.146537\pi\) | ||||
−0.895893 | + | 0.444270i | \(0.853463\pi\) | |||||||
\(938\) | −11.9719 | + | 6.21981i | −0.390895 | + | 0.203084i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 15.5249 | 0.506366 | ||||||||
\(941\) | 7.56366 | + | 13.1007i | 0.246568 | + | 0.427069i | 0.962571 | − | 0.271028i | \(-0.0873637\pi\) |
−0.716003 | + | 0.698097i | \(0.754030\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 16.6098 | + | 9.58966i | 0.540889 | + | 0.312282i | ||||
\(944\) | 1.94202 | 0.0632073 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 8.18124 | 0.265995 | ||||||||
\(947\) | −15.6804 | − | 9.05308i | −0.509545 | − | 0.294186i | 0.223102 | − | 0.974795i | \(-0.428382\pi\) |
−0.732646 | + | 0.680609i | \(0.761715\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −23.2349 | − | 40.2440i | −0.754237 | − | 1.30638i | ||||
\(950\) | 0.592945 | 0.0192377 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.789621 | + | 17.7547i | −0.0255918 | + | 0.575432i | ||||
\(953\) | 31.8552i | 1.03189i | 0.856621 | + | 0.515946i | \(0.172559\pi\) | ||||
−0.856621 | + | 0.515946i | \(0.827441\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 50.9833 | + | 29.4352i | 1.64978 | + | 0.952501i | ||||
\(956\) | − | 15.7292i | − | 0.508720i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 5.32505 | + | 3.07442i | 0.172045 | + | 0.0993300i | ||||
\(959\) | −7.77849 | + | 4.04121i | −0.251181 | + | 0.130497i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −13.4564 | + | 23.3072i | −0.434079 | + | 0.751846i | ||||
\(962\) | −24.4440 | + | 42.3382i | −0.788105 | + | 1.36504i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1.39292 | + | 0.804201i | −0.0448628 | + | 0.0259016i | ||||
\(965\) | −10.5956 | − | 18.3521i | −0.341084 | − | 0.590774i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1.32305 | − | 2.29159i | 0.0425464 | − | 0.0736925i | −0.843968 | − | 0.536393i | \(-0.819786\pi\) |
0.886514 | + | 0.462701i | \(0.153120\pi\) | |||||||
\(968\) | − | 9.80529i | − | 0.315154i | ||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 10.9060 | 0.350170 | ||||||||
\(971\) | −17.9023 | − | 31.0077i | −0.574513 | − | 0.995086i | −0.996094 | − | 0.0882950i | \(-0.971858\pi\) |
0.421581 | − | 0.906791i | \(-0.361475\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.408155 | + | 9.17739i | −0.0130849 | + | 0.294214i | ||||
\(974\) | 17.0843 | − | 9.86365i | 0.547418 | − | 0.316052i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.15315 | + | 0.665771i | −0.0369114 | + | 0.0213108i | ||||
\(977\) | −3.83398 | + | 2.21355i | −0.122660 | + | 0.0708178i | −0.560075 | − | 0.828442i | \(-0.689228\pi\) |
0.437415 | + | 0.899260i | \(0.355894\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −17.0331 | + | 9.83405i | −0.544379 | + | 0.314298i | ||||
\(980\) | 15.9102 | + | 1.41799i | 0.508234 | + | 0.0452960i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 1.97994 | + | 3.42935i | 0.0631823 | + | 0.109435i | ||||
\(983\) | 17.8127 | 0.568137 | 0.284068 | − | 0.958804i | \(-0.408316\pi\) | ||||
0.284068 | + | 0.958804i | \(0.408316\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 13.3774i | 0.426238i | ||||||||
\(986\) | −6.20253 | + | 10.7431i | −0.197529 | + | 0.342130i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 9.77810 | + | 16.9362i | 0.311083 | + | 0.538811i | ||||
\(989\) | 25.3188 | − | 14.6178i | 0.805091 | − | 0.464819i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 7.62877 | − | 13.2134i | 0.242336 | − | 0.419738i | −0.719043 | − | 0.694965i | \(-0.755420\pi\) |
0.961379 | + | 0.275227i | \(0.0887531\pi\) | |||||||
\(992\) | −1.01083 | + | 1.75081i | −0.0320940 | + | 0.0555884i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.617190 | + | 0.0274489i | 0.0195761 | + | 0.000870627i | ||||
\(995\) | 31.7451 | + | 18.3280i | 1.00639 | + | 0.581037i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 41.2999i | 1.30798i | 0.756502 | + | 0.653991i | \(0.226907\pi\) | ||||
−0.756502 | + | 0.653991i | \(0.773093\pi\) | |||||||
\(998\) | 31.8856 | + | 18.4092i | 1.00932 | + | 0.582732i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))