Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(73,630)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(630, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("630.73");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 630.bv (of order \(12\), degree \(4\), 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: | \(5.03057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 10x^{14} + 61x^{12} + 266x^{10} + 852x^{8} + 1438x^{6} + 1933x^{4} + 3038x^{2} + 2401 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 70) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 577.2 | ||
Root | \(0.144868 - 1.25092i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 630.577 |
Dual form | 630.2.bv.c.523.2 |
$q$-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 \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | + | 0.965926i | −0.183013 | + | 0.683013i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.866025 | − | 0.500000i | −0.433013 | − | 0.250000i | ||||
\(5\) | 1.82591 | − | 1.29076i | 0.816571 | − | 0.577245i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.90155 | + | 1.83959i | −0.718719 | + | 0.695300i | ||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.774197 | + | 2.09777i | 0.244822 | + | 0.663372i | ||||
\(11\) | −2.01999 | + | 3.49872i | −0.609049 | + | 1.05490i | 0.382349 | + | 0.924018i | \(0.375115\pi\) |
−0.991397 | + | 0.130886i | \(0.958218\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.204875 | − | 0.204875i | −0.0568221 | − | 0.0568221i | 0.678125 | − | 0.734947i | \(-0.262793\pi\) |
−0.734947 | + | 0.678125i | \(0.762793\pi\) | |||||||
\(14\) | −1.28475 | − | 2.31288i | −0.343364 | − | 0.618143i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 0.527924 | + | 1.97024i | 0.128040 | + | 0.477853i | 0.999930 | − | 0.0118498i | \(-0.00377201\pi\) |
−0.871890 | + | 0.489703i | \(0.837105\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.10166 | + | 5.37224i | 0.711571 | + | 1.23248i | 0.964267 | + | 0.264931i | \(0.0853491\pi\) |
−0.252697 | + | 0.967545i | \(0.581318\pi\) | |||||||
\(20\) | −2.22666 | + | 0.204875i | −0.497897 | + | 0.0458114i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.85669 | − | 2.85669i | −0.609049 | − | 0.609049i | ||||
\(23\) | 4.38350 | + | 1.17456i | 0.914023 | + | 0.244912i | 0.685029 | − | 0.728516i | \(-0.259790\pi\) |
0.228994 | + | 0.973428i | \(0.426456\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.66789 | − | 4.71361i | 0.333577 | − | 0.942723i | ||||
\(26\) | 0.250919 | − | 0.144868i | 0.0492094 | − | 0.0284110i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.56659 | − | 0.642357i | 0.485040 | − | 0.121394i | ||||
\(29\) | 7.15869i | 1.32934i | 0.747139 | + | 0.664668i | \(0.231427\pi\) | ||||
−0.747139 | + | 0.664668i | \(0.768573\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.33287 | + | 3.65628i | 1.13742 | + | 0.656688i | 0.945790 | − | 0.324780i | \(-0.105290\pi\) |
0.191627 | + | 0.981468i | \(0.438624\pi\) | |||||||
\(32\) | −0.965926 | + | 0.258819i | −0.170753 | + | 0.0457532i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.03974 | −0.349813 | ||||||||
\(35\) | −1.09759 | + | 5.81337i | −0.185527 | + | 0.982639i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.19723 | − | 4.46814i | 0.196824 | − | 0.734558i | −0.794963 | − | 0.606658i | \(-0.792510\pi\) |
0.991787 | − | 0.127900i | \(-0.0408236\pi\) | |||||||
\(38\) | −5.99195 | + | 1.60554i | −0.972023 | + | 0.260453i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.378409 | − | 2.20382i | 0.0598317 | − | 0.348454i | ||||
\(41\) | 2.58745i | 0.404093i | 0.979376 | + | 0.202046i | \(0.0647591\pi\) | ||||
−0.979376 | + | 0.202046i | \(0.935241\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.97801 | + | 4.97801i | −0.759140 | + | 0.759140i | −0.976166 | − | 0.217026i | \(-0.930364\pi\) |
0.217026 | + | 0.976166i | \(0.430364\pi\) | |||||||
\(44\) | 3.49872 | − | 2.01999i | 0.527452 | − | 0.304524i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.26907 | + | 3.93014i | −0.334556 | + | 0.579468i | ||||
\(47\) | 0.304388 | + | 0.0815604i | 0.0443995 | + | 0.0118968i | 0.280950 | − | 0.959722i | \(-0.409350\pi\) |
−0.236551 | + | 0.971619i | \(0.576017\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.231803 | − | 6.99616i | 0.0331148 | − | 0.999452i | ||||
\(50\) | 4.12132 | + | 2.83103i | 0.582843 | + | 0.400368i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.0749894 | + | 0.279864i | 0.0103992 | + | 0.0388102i | ||||
\(53\) | −2.14370 | − | 8.00039i | −0.294460 | − | 1.09894i | −0.941646 | − | 0.336606i | \(-0.890721\pi\) |
0.647186 | − | 0.762332i | \(-0.275946\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.827689 | + | 8.99566i | 0.111606 | + | 1.21297i | ||||
\(56\) | −0.0438127 | + | 2.64539i | −0.00585472 | + | 0.353505i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.91477 | − | 1.85281i | −0.907953 | − | 0.243285i | ||||
\(59\) | 0.427702 | − | 0.740802i | 0.0556821 | − | 0.0964442i | −0.836841 | − | 0.547446i | \(-0.815600\pi\) |
0.892523 | + | 0.451002i | \(0.148933\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.99356 | + | 3.46038i | −0.767397 | + | 0.443057i | −0.831945 | − | 0.554858i | \(-0.812773\pi\) |
0.0645484 | + | 0.997915i | \(0.479439\pi\) | |||||||
\(62\) | −5.17076 | + | 5.17076i | −0.656688 | + | 0.656688i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −0.638527 | − | 0.109639i | −0.0791995 | − | 0.0135990i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.05106 | − | 0.817530i | 0.372747 | − | 0.0998772i | −0.0675822 | − | 0.997714i | \(-0.521528\pi\) |
0.440329 | + | 0.897837i | \(0.354862\pi\) | |||||||
\(68\) | 0.527924 | − | 1.97024i | 0.0640201 | − | 0.238926i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.33121 | − | 2.56480i | −0.637201 | − | 0.306553i | ||||
\(71\) | −7.12240 | −0.845273 | −0.422637 | − | 0.906299i | \(-0.638895\pi\) | ||||
−0.422637 | + | 0.906299i | \(0.638895\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −11.1331 | + | 2.98311i | −1.30303 | + | 0.349147i | −0.842597 | − | 0.538545i | \(-0.818974\pi\) |
−0.460438 | + | 0.887692i | \(0.652307\pi\) | |||||||
\(74\) | 4.00603 | + | 2.31288i | 0.465691 | + | 0.268867i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | − | 6.20333i | − | 0.711571i | ||||||
\(77\) | −2.59511 | − | 10.3690i | −0.295740 | − | 1.18165i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.39618 | − | 2.53813i | 0.494609 | − | 0.285562i | −0.231876 | − | 0.972745i | \(-0.574486\pi\) |
0.726484 | + | 0.687183i | \(0.241153\pi\) | |||||||
\(80\) | 2.03078 | + | 0.935904i | 0.227049 | + | 0.104637i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.49929 | − | 0.669683i | −0.276000 | − | 0.0739541i | ||||
\(83\) | −3.85372 | − | 3.85372i | −0.423001 | − | 0.423001i | 0.463235 | − | 0.886236i | \(-0.346689\pi\) |
−0.886236 | + | 0.463235i | \(0.846689\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.50704 | + | 2.91605i | 0.380392 | + | 0.316290i | ||||
\(86\) | −3.51999 | − | 6.09680i | −0.379570 | − | 0.657434i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.04562 | + | 3.90231i | 0.111464 | + | 0.415988i | ||||
\(89\) | −1.53615 | − | 2.66069i | −0.162832 | − | 0.282033i | 0.773051 | − | 0.634343i | \(-0.218729\pi\) |
−0.935883 | + | 0.352310i | \(0.885396\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.766467 | + | 0.0126942i | 0.0803475 | + | 0.00133071i | ||||
\(92\) | −3.20895 | − | 3.20895i | −0.334556 | − | 0.334556i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.157563 | + | 0.272906i | −0.0162513 | + | 0.0281481i | ||||
\(95\) | 12.5976 | + | 5.80572i | 1.29249 | + | 0.595655i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.63103 | − | 6.63103i | 0.673279 | − | 0.673279i | −0.285191 | − | 0.958471i | \(-0.592057\pi\) |
0.958471 | + | 0.285191i | \(0.0920572\pi\) | |||||||
\(98\) | 6.69778 | + | 2.03464i | 0.676578 | + | 0.205530i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.80124 | + | 3.24817i | −0.380124 | + | 0.324817i | ||||
\(101\) | 8.56364 | + | 4.94422i | 0.852114 | + | 0.491968i | 0.861364 | − | 0.507989i | \(-0.169611\pi\) |
−0.00924966 | + | 0.999957i | \(0.502944\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.10827 | − | 4.13612i | 0.109201 | − | 0.407544i | −0.889587 | − | 0.456766i | \(-0.849008\pi\) |
0.998788 | + | 0.0492221i | \(0.0156742\pi\) | |||||||
\(104\) | −0.289737 | −0.0284110 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 8.28261 | 0.804479 | ||||||||
\(107\) | 3.84918 | − | 14.3653i | 0.372114 | − | 1.38875i | −0.485402 | − | 0.874291i | \(-0.661327\pi\) |
0.857516 | − | 0.514457i | \(-0.172007\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 11.4586 | + | 6.61564i | 1.09754 | + | 0.633664i | 0.935573 | − | 0.353133i | \(-0.114884\pi\) |
0.161964 | + | 0.986797i | \(0.448217\pi\) | |||||||
\(110\) | −8.90336 | − | 1.52876i | −0.848902 | − | 0.145762i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.54391 | − | 0.726997i | −0.240377 | − | 0.0686947i | ||||
\(113\) | −9.75336 | + | 9.75336i | −0.917519 | + | 0.917519i | −0.996848 | − | 0.0793296i | \(-0.974722\pi\) |
0.0793296 | + | 0.996848i | \(0.474722\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 9.51994 | − | 3.51341i | 0.887739 | − | 0.327627i | ||||
\(116\) | 3.57935 | − | 6.19961i | 0.332334 | − | 0.575619i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.604862 | + | 0.604862i | 0.0556821 | + | 0.0556821i | ||||
\(119\) | −4.62831 | − | 2.77535i | −0.424276 | − | 0.254416i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.66069 | − | 4.60846i | −0.241881 | − | 0.418951i | ||||
\(122\) | −1.79123 | − | 6.68495i | −0.162170 | − | 0.605227i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.65628 | − | 6.33287i | −0.328344 | − | 0.568708i | ||||
\(125\) | −3.03873 | − | 10.7595i | −0.271792 | − | 0.962356i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.19984 | − | 2.19984i | −0.195204 | − | 0.195204i | 0.602736 | − | 0.797940i | \(-0.294077\pi\) |
−0.797940 | + | 0.602736i | \(0.794077\pi\) | |||||||
\(128\) | 0.965926 | + | 0.258819i | 0.0853766 | + | 0.0228766i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.271166 | − | 0.588393i | 0.0237828 | − | 0.0516055i | ||||
\(131\) | 6.32091 | − | 3.64938i | 0.552260 | − | 0.318848i | −0.197773 | − | 0.980248i | \(-0.563371\pi\) |
0.750033 | + | 0.661400i | \(0.230037\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −15.7807 | − | 4.50980i | −1.36836 | − | 0.391049i | ||||
\(134\) | 3.15869i | 0.272870i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.76647 | + | 1.01987i | 0.151473 | + | 0.0874531i | ||||
\(137\) | 6.93431 | − | 1.85804i | 0.592438 | − | 0.158743i | 0.0498710 | − | 0.998756i | \(-0.484119\pi\) |
0.542567 | + | 0.840012i | \(0.317452\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.4172 | −1.05321 | −0.526605 | − | 0.850110i | \(-0.676535\pi\) | ||||
−0.526605 | + | 0.850110i | \(0.676535\pi\) | |||||||
\(140\) | 3.85723 | − | 4.48573i | 0.325995 | − | 0.379113i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.84341 | − | 6.87971i | 0.154696 | − | 0.577332i | ||||
\(143\) | 1.13064 | − | 0.302955i | 0.0945492 | − | 0.0253344i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 9.24014 | + | 13.0711i | 0.767352 | + | 1.08550i | ||||
\(146\) | − | 11.5259i | − | 0.953887i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.27091 | + | 3.27091i | −0.268867 | + | 0.268867i | ||||
\(149\) | 20.7399 | − | 11.9742i | 1.69908 | − | 0.980963i | 0.752440 | − | 0.658661i | \(-0.228877\pi\) |
0.946637 | − | 0.322302i | \(-0.104457\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.77167 | − | 3.06862i | 0.144176 | − | 0.249721i | −0.784889 | − | 0.619636i | \(-0.787280\pi\) |
0.929065 | + | 0.369916i | \(0.120613\pi\) | |||||||
\(152\) | 5.99195 | + | 1.60554i | 0.486012 | + | 0.130226i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 10.6873 | + | 0.177002i | 0.861207 | + | 0.0142632i | ||||
\(155\) | 16.2826 | − | 1.49816i | 1.30785 | − | 0.120335i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.58462 | − | 5.91389i | −0.126467 | − | 0.471980i | 0.873421 | − | 0.486966i | \(-0.161896\pi\) |
−0.999888 | + | 0.0149859i | \(0.995230\pi\) | |||||||
\(158\) | 1.31384 | + | 4.90330i | 0.104523 | + | 0.390086i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.42962 | + | 1.71936i | −0.113021 | + | 0.135927i | ||||
\(161\) | −10.4962 | + | 5.83037i | −0.827213 | + | 0.459498i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 15.9937 | + | 4.28549i | 1.25272 | + | 0.335666i | 0.823387 | − | 0.567480i | \(-0.192082\pi\) |
0.429334 | + | 0.903146i | \(0.358748\pi\) | |||||||
\(164\) | 1.29373 | − | 2.24080i | 0.101023 | − | 0.174977i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.71983 | − | 2.72499i | 0.366329 | − | 0.211500i | ||||
\(167\) | −10.2873 | + | 10.2873i | −0.796056 | + | 0.796056i | −0.982471 | − | 0.186415i | \(-0.940313\pi\) |
0.186415 | + | 0.982471i | \(0.440313\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 12.9161i | − | 0.993543i | ||||||
\(170\) | −3.72438 | + | 2.63281i | −0.285647 | + | 0.201927i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.80009 | − | 1.82208i | 0.518502 | − | 0.138932i | ||||
\(173\) | −2.01155 | + | 7.50720i | −0.152935 | + | 0.570762i | 0.846338 | + | 0.532646i | \(0.178802\pi\) |
−0.999273 | + | 0.0381159i | \(0.987864\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.49955 | + | 12.0314i | 0.415727 | + | 0.909489i | ||||
\(176\) | −4.03997 | −0.304524 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 2.96762 | − | 0.795171i | 0.222432 | − | 0.0596006i | ||||
\(179\) | 3.34695 | + | 1.93236i | 0.250163 | + | 0.144431i | 0.619839 | − | 0.784729i | \(-0.287198\pi\) |
−0.369676 | + | 0.929161i | \(0.620531\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.99107i | 0.519642i | 0.965657 | + | 0.259821i | \(0.0836636\pi\) | ||||
−0.965657 | + | 0.259821i | \(0.916336\pi\) | |||||||
\(182\) | −0.210638 | + | 0.737064i | −0.0156135 | + | 0.0546348i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 3.93014 | − | 2.26907i | 0.289734 | − | 0.167278i | ||||
\(185\) | −3.58125 | − | 9.70376i | −0.263299 | − | 0.713435i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.95971 | − | 2.13280i | −0.582071 | − | 0.155966i | ||||
\(188\) | −0.222827 | − | 0.222827i | −0.0162513 | − | 0.0162513i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −8.86840 | + | 10.6657i | −0.643381 | + | 0.773774i | ||||
\(191\) | 2.23721 | + | 3.87496i | 0.161879 | + | 0.280383i | 0.935543 | − | 0.353214i | \(-0.114911\pi\) |
−0.773664 | + | 0.633597i | \(0.781578\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.19573 | − | 19.3907i | −0.373997 | − | 1.39577i | −0.854805 | − | 0.518949i | \(-0.826324\pi\) |
0.480809 | − | 0.876825i | \(-0.340343\pi\) | |||||||
\(194\) | 4.68885 | + | 8.12132i | 0.336640 | + | 0.583077i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.69883 | + | 5.94295i | −0.264202 | + | 0.424497i | ||||
\(197\) | 7.84901 | + | 7.84901i | 0.559219 | + | 0.559219i | 0.929085 | − | 0.369866i | \(-0.120596\pi\) |
−0.369866 | + | 0.929085i | \(0.620596\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.40103 | − | 9.35485i | 0.382869 | − | 0.663148i | −0.608602 | − | 0.793475i | \(-0.708270\pi\) |
0.991471 | + | 0.130327i | \(0.0416028\pi\) | |||||||
\(200\) | −2.15365 | − | 4.51240i | −0.152286 | − | 0.319075i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.99218 | + | 6.99218i | −0.491968 | + | 0.491968i | ||||
\(203\) | −13.1691 | − | 13.6126i | −0.924288 | − | 0.955419i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.33978 | + | 4.72446i | 0.233260 | + | 0.329970i | ||||
\(206\) | 3.70835 | + | 2.14101i | 0.258373 | + | 0.149172i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.0749894 | − | 0.279864i | 0.00519958 | − | 0.0194051i | ||||
\(209\) | −25.0613 | −1.73353 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.56555 | 0.520834 | 0.260417 | − | 0.965496i | \(-0.416140\pi\) | ||||
0.260417 | + | 0.965496i | \(0.416140\pi\) | |||||||
\(212\) | −2.14370 | + | 8.00039i | −0.147230 | + | 0.549469i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 12.8796 | + | 7.43604i | 0.880431 | + | 0.508317i | ||||
\(215\) | −2.66399 | + | 15.5148i | −0.181682 | + | 1.05810i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −18.7683 | + | 4.69728i | −1.27408 | + | 0.318872i | ||||
\(218\) | −9.35593 | + | 9.35593i | −0.633664 | + | 0.633664i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 3.78103 | − | 8.20431i | 0.254917 | − | 0.553135i | ||||
\(221\) | 0.295494 | − | 0.511811i | 0.0198771 | − | 0.0344281i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −9.35230 | − | 9.35230i | −0.626277 | − | 0.626277i | 0.320853 | − | 0.947129i | \(-0.396031\pi\) |
−0.947129 | + | 0.320853i | \(0.896031\pi\) | |||||||
\(224\) | 1.36064 | − | 2.26907i | 0.0909114 | − | 0.151608i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.89667 | − | 11.9454i | −0.458759 | − | 0.794595i | ||||
\(227\) | −4.19127 | − | 15.6420i | −0.278184 | − | 1.03820i | −0.953677 | − | 0.300832i | \(-0.902736\pi\) |
0.675493 | − | 0.737367i | \(-0.263931\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.88820 | − | 10.1987i | −0.389103 | − | 0.673947i | 0.603226 | − | 0.797570i | \(-0.293882\pi\) |
−0.992329 | + | 0.123624i | \(0.960548\pi\) | |||||||
\(230\) | 0.929750 | + | 10.1049i | 0.0613059 | + | 0.666297i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 5.06196 | + | 5.06196i | 0.332334 | + | 0.332334i | ||||
\(233\) | −5.52920 | − | 1.48154i | −0.362230 | − | 0.0970591i | 0.0731138 | − | 0.997324i | \(-0.476706\pi\) |
−0.435343 | + | 0.900264i | \(0.643373\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.661059 | − | 0.243969i | 0.0431227 | − | 0.0159148i | ||||
\(236\) | −0.740802 | + | 0.427702i | −0.0482221 | + | 0.0278410i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 3.87867 | − | 3.75229i | 0.251417 | − | 0.243225i | ||||
\(239\) | − | 8.33794i | − | 0.539337i | −0.962953 | − | 0.269668i | \(-0.913086\pi\) | ||
0.962953 | − | 0.269668i | \(-0.0869141\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.56723 | + | 1.48219i | 0.165370 | + | 0.0954763i | 0.580401 | − | 0.814331i | \(-0.302896\pi\) |
−0.415031 | + | 0.909807i | \(0.636229\pi\) | |||||||
\(242\) | 5.14006 | − | 1.37728i | 0.330416 | − | 0.0885347i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 6.92077 | 0.443057 | ||||||||
\(245\) | −8.60710 | − | 13.0736i | −0.549887 | − | 0.835239i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.465184 | − | 1.73609i | 0.0295989 | − | 0.110465i | ||||
\(248\) | 7.06340 | − | 1.89263i | 0.448526 | − | 0.120182i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 11.1793 | − | 0.150429i | 0.707043 | − | 0.00951396i | ||||
\(251\) | 16.1800i | 1.02127i | 0.859796 | + | 0.510637i | \(0.170590\pi\) | ||||
−0.859796 | + | 0.510637i | \(0.829410\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −12.9641 | + | 12.9641i | −0.815043 | + | 0.815043i | ||||
\(254\) | 2.69424 | − | 1.55552i | 0.169052 | − | 0.0976020i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 5.62621 | + | 1.50754i | 0.350954 | + | 0.0940377i | 0.429989 | − | 0.902834i | \(-0.358517\pi\) |
−0.0790355 | + | 0.996872i | \(0.525184\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.94295 | + | 10.6988i | 0.369277 | + | 0.664793i | ||||
\(260\) | 0.498161 | + | 0.414214i | 0.0308946 | + | 0.0256884i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.88906 | + | 7.05006i | 0.116706 | + | 0.435554i | ||||
\(263\) | −0.449601 | − | 1.67793i | −0.0277236 | − | 0.103466i | 0.950678 | − | 0.310180i | \(-0.100389\pi\) |
−0.978401 | + | 0.206715i | \(0.933723\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −14.2408 | − | 11.8410i | −0.874803 | − | 0.727386i | ||||
\(266\) | 8.44048 | − | 14.0758i | 0.517519 | − | 0.863041i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.05106 | − | 0.817530i | −0.186373 | − | 0.0499386i | ||||
\(269\) | −1.89169 | + | 3.27650i | −0.115338 | + | 0.199772i | −0.917915 | − | 0.396777i | \(-0.870128\pi\) |
0.802577 | + | 0.596549i | \(0.203462\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −18.4029 | + | 10.6249i | −1.11789 | + | 0.645416i | −0.940862 | − | 0.338789i | \(-0.889983\pi\) |
−0.177032 | + | 0.984205i | \(0.556649\pi\) | |||||||
\(272\) | −1.44231 | + | 1.44231i | −0.0874531 | + | 0.0874531i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 7.17893i | 0.433695i | ||||||||
\(275\) | 13.1225 | + | 15.3569i | 0.791317 | + | 0.926056i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.72353 | − | 1.26567i | 0.283810 | − | 0.0760465i | −0.114106 | − | 0.993469i | \(-0.536400\pi\) |
0.397916 | + | 0.917422i | \(0.369734\pi\) | |||||||
\(278\) | 3.21380 | − | 11.9941i | 0.192751 | − | 0.719356i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.33456 | + | 4.88679i | 0.199278 | + | 0.292042i | ||||
\(281\) | 29.4776 | 1.75849 | 0.879243 | − | 0.476373i | \(-0.158049\pi\) | ||||
0.879243 | + | 0.476373i | \(0.158049\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.8991 | + | 2.92041i | −0.647886 | + | 0.173601i | −0.567773 | − | 0.823185i | \(-0.692195\pi\) |
−0.0801133 | + | 0.996786i | \(0.525528\pi\) | |||||||
\(284\) | 6.16818 | + | 3.56120i | 0.366014 | + | 0.211318i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.17053i | 0.0692148i | ||||||||
\(287\) | −4.75986 | − | 4.92018i | −0.280966 | − | 0.290429i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 11.1193 | − | 6.41973i | 0.654076 | − | 0.377631i | ||||
\(290\) | −15.0173 | + | 5.54224i | −0.881844 | + | 0.325451i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 11.1331 | + | 2.98311i | 0.651517 | + | 0.174573i | ||||
\(293\) | −7.23407 | − | 7.23407i | −0.422619 | − | 0.422619i | 0.463485 | − | 0.886105i | \(-0.346599\pi\) |
−0.886105 | + | 0.463485i | \(0.846599\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.175251 | − | 1.90470i | −0.0102035 | − | 0.110896i | ||||
\(296\) | −2.31288 | − | 4.00603i | −0.134433 | − | 0.232846i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.19829 | + | 23.1323i | 0.359057 | + | 1.34002i | ||||
\(299\) | −0.657432 | − | 1.13871i | −0.0380203 | − | 0.0658531i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.308440 | − | 18.6235i | 0.0177782 | − | 1.07344i | ||||
\(302\) | 2.50552 | + | 2.50552i | 0.144176 | + | 0.144176i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −3.10166 | + | 5.37224i | −0.177893 | + | 0.308119i | ||||
\(305\) | −6.47718 | + | 14.0546i | −0.370882 | + | 0.804763i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.07859 | − | 1.07859i | 0.0615584 | − | 0.0615584i | −0.675657 | − | 0.737216i | \(-0.736140\pi\) |
0.737216 | + | 0.675657i | \(0.236140\pi\) | |||||||
\(308\) | −2.93705 | + | 10.2773i | −0.167354 | + | 0.585605i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2.76714 | + | 16.1156i | −0.157163 | + | 0.915302i | ||||
\(311\) | 8.33830 | + | 4.81412i | 0.472821 | + | 0.272984i | 0.717420 | − | 0.696641i | \(-0.245323\pi\) |
−0.244599 | + | 0.969624i | \(0.578656\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.783378 | − | 2.92361i | 0.0442791 | − | 0.165252i | −0.940246 | − | 0.340496i | \(-0.889405\pi\) |
0.984525 | + | 0.175244i | \(0.0560716\pi\) | |||||||
\(314\) | 6.12251 | 0.345513 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.07627 | −0.285562 | ||||||||
\(317\) | −0.504353 | + | 1.88227i | −0.0283273 | + | 0.105719i | −0.978642 | − | 0.205572i | \(-0.934095\pi\) |
0.950315 | + | 0.311291i | \(0.100761\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −25.0463 | − | 14.4605i | −1.40232 | − | 0.809631i | ||||
\(320\) | −1.29076 | − | 1.82591i | −0.0721556 | − | 0.102071i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.91510 | − | 11.6475i | −0.162452 | − | 0.649091i | ||||
\(323\) | −8.94715 | + | 8.94715i | −0.497833 | + | 0.497833i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.30741 | + | 0.623993i | −0.0725220 | + | 0.0346129i | ||||
\(326\) | −8.27894 | + | 14.3395i | −0.458528 | + | 0.794194i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.82961 | + | 1.82961i | 0.101023 | + | 0.101023i | ||||
\(329\) | −0.728847 | + | 0.404858i | −0.0401826 | + | 0.0223205i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.4468 | + | 25.0225i | 0.794066 | + | 1.37536i | 0.923431 | + | 0.383765i | \(0.125373\pi\) |
−0.129365 | + | 0.991597i | \(0.541294\pi\) | |||||||
\(332\) | 1.41056 | + | 5.26428i | 0.0774145 | + | 0.288915i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −7.27423 | − | 12.5993i | −0.398028 | − | 0.689405i | ||||
\(335\) | 4.51573 | − | 5.43092i | 0.246721 | − | 0.296723i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.823226 | − | 0.823226i | −0.0448440 | − | 0.0448440i | 0.684329 | − | 0.729173i | \(-0.260095\pi\) |
−0.729173 | + | 0.684329i | \(0.760095\pi\) | |||||||
\(338\) | 12.4759 | + | 3.34292i | 0.678602 | + | 0.181831i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.57916 | − | 4.27890i | −0.0856420 | − | 0.232056i | ||||
\(341\) | −25.5846 | + | 14.7713i | −1.38548 | + | 0.799910i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 12.4293 | + | 13.7300i | 0.671119 | + | 0.741350i | ||||
\(344\) | 7.03997i | 0.379570i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −6.73077 | − | 3.88601i | −0.361849 | − | 0.208913i | ||||
\(347\) | −16.1350 | + | 4.32336i | −0.866172 | + | 0.232090i | −0.664432 | − | 0.747349i | \(-0.731326\pi\) |
−0.201740 | + | 0.979439i | \(0.564660\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −36.7146 | −1.96529 | −0.982644 | − | 0.185503i | \(-0.940608\pi\) | ||||
−0.982644 | + | 0.185503i | \(0.940608\pi\) | |||||||
\(350\) | −13.0448 | + | 2.19820i | −0.697276 | + | 0.117499i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.04562 | − | 3.90231i | 0.0557318 | − | 0.207994i | ||||
\(353\) | 13.7845 | − | 3.69356i | 0.733677 | − | 0.196588i | 0.127411 | − | 0.991850i | \(-0.459333\pi\) |
0.606266 | + | 0.795262i | \(0.292667\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −13.0048 | + | 9.19329i | −0.690226 | + | 0.487929i | ||||
\(356\) | 3.07230i | 0.162832i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.73277 | + | 2.73277i | −0.144431 | + | 0.144431i | ||||
\(359\) | −23.4596 | + | 13.5444i | −1.23815 | + | 0.714847i | −0.968716 | − | 0.248172i | \(-0.920170\pi\) |
−0.269435 | + | 0.963019i | \(0.586837\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.74064 | + | 16.8713i | −0.512665 | + | 0.887962i | ||||
\(362\) | −6.75285 | − | 1.80942i | −0.354922 | − | 0.0951011i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.657432 | − | 0.394227i | −0.0344588 | − | 0.0206631i | ||||
\(365\) | −16.4776 | + | 19.8171i | −0.862477 | + | 1.03727i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.86782 | + | 21.8990i | 0.306298 | + | 1.14312i | 0.931823 | + | 0.362914i | \(0.118218\pi\) |
−0.625525 | + | 0.780204i | \(0.715115\pi\) | |||||||
\(368\) | 1.17456 | + | 4.38350i | 0.0612279 | + | 0.228506i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 10.3000 | − | 0.947702i | 0.535472 | − | 0.0492687i | ||||
\(371\) | 18.7938 | + | 11.2696i | 0.975726 | + | 0.585090i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.3984 | + | 3.32215i | 0.641966 | + | 0.172014i | 0.565094 | − | 0.825027i | \(-0.308840\pi\) |
0.0768720 | + | 0.997041i | \(0.475507\pi\) | |||||||
\(374\) | 4.12025 | − | 7.13648i | 0.213053 | − | 0.369019i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.272906 | − | 0.157563i | 0.0140741 | − | 0.00812567i | ||||
\(377\) | 1.46664 | − | 1.46664i | 0.0755356 | − | 0.0755356i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 14.4739i | 0.743476i | 0.928338 | + | 0.371738i | \(0.121238\pi\) | ||||
−0.928338 | + | 0.371738i | \(0.878762\pi\) | |||||||
\(380\) | −8.00700 | − | 11.3267i | −0.410750 | − | 0.581048i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −4.32196 | + | 1.15807i | −0.221131 | + | 0.0592518i | ||||
\(383\) | −0.453341 | + | 1.69189i | −0.0231647 | + | 0.0864517i | −0.976540 | − | 0.215334i | \(-0.930916\pi\) |
0.953376 | + | 0.301786i | \(0.0975827\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −18.1222 | − | 15.5831i | −0.923595 | − | 0.794189i | ||||
\(386\) | 20.0747 | 1.02178 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −9.05816 | + | 2.42713i | −0.459858 | + | 0.123219i | ||||
\(389\) | −2.40954 | − | 1.39115i | −0.122169 | − | 0.0705341i | 0.437670 | − | 0.899135i | \(-0.355804\pi\) |
−0.559839 | + | 0.828601i | \(0.689137\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.25661i | 0.468127i | ||||||||
\(392\) | −4.78312 | − | 5.11094i | −0.241584 | − | 0.258142i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −9.61304 | + | 5.55009i | −0.484298 | + | 0.279610i | ||||
\(395\) | 4.75090 | − | 10.3088i | 0.239044 | − | 0.518692i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 38.3163 | + | 10.2668i | 1.92304 | + | 0.515277i | 0.986212 | + | 0.165486i | \(0.0529193\pi\) |
0.936828 | + | 0.349791i | \(0.113747\pi\) | |||||||
\(398\) | 7.63821 | + | 7.63821i | 0.382869 | + | 0.382869i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.91605 | − | 0.912375i | 0.245803 | − | 0.0456187i | ||||
\(401\) | −9.98528 | − | 17.2950i | −0.498641 | − | 0.863672i | 0.501358 | − | 0.865240i | \(-0.332834\pi\) |
−0.999999 | + | 0.00156835i | \(0.999501\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.548365 | − | 2.04653i | −0.0273160 | − | 0.101945i | ||||
\(404\) | −4.94422 | − | 8.56364i | −0.245984 | − | 0.426057i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 16.5572 | − | 9.19714i | 0.821720 | − | 0.456446i | ||||
\(407\) | 13.2144 | + | 13.2144i | 0.655012 | + | 0.655012i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 7.65280 | − | 13.2550i | 0.378407 | − | 0.655419i | −0.612424 | − | 0.790529i | \(-0.709805\pi\) |
0.990831 | + | 0.135110i | \(0.0431388\pi\) | |||||||
\(410\) | −5.42787 | + | 2.00320i | −0.268064 | + | 0.0989309i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −3.02785 | + | 3.02785i | −0.149172 | + | 0.149172i | ||||
\(413\) | 0.549475 | + | 2.19547i | 0.0270379 | + | 0.108032i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −12.0108 | − | 2.06232i | −0.589585 | − | 0.101235i | ||||
\(416\) | 0.250919 | + | 0.144868i | 0.0123023 | + | 0.00710276i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 6.48634 | − | 24.2073i | 0.317257 | − | 1.18402i | ||||
\(419\) | −27.7027 | −1.35337 | −0.676684 | − | 0.736274i | \(-0.736584\pi\) | ||||
−0.676684 | + | 0.736274i | \(0.736584\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 33.0159 | 1.60910 | 0.804549 | − | 0.593887i | \(-0.202407\pi\) | ||||
0.804549 | + | 0.593887i | \(0.202407\pi\) | |||||||
\(422\) | −1.95811 | + | 7.30776i | −0.0953192 | + | 0.355736i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −7.17295 | − | 4.14131i | −0.348349 | − | 0.201120i | ||||
\(425\) | 10.1675 | + | 0.797705i | 0.493194 | + | 0.0386944i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.03138 | − | 17.6058i | 0.243485 | − | 0.852005i | ||||
\(428\) | −10.5161 | + | 10.5161i | −0.508317 | + | 0.508317i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −14.2967 | − | 6.58874i | −0.689446 | − | 0.317737i | ||||
\(431\) | 11.9586 | − | 20.7129i | 0.576027 | − | 0.997708i | −0.419902 | − | 0.907569i | \(-0.637936\pi\) |
0.995929 | − | 0.0901384i | \(-0.0287309\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 13.2515 | + | 13.2515i | 0.636829 | + | 0.636829i | 0.949772 | − | 0.312943i | \(-0.101315\pi\) |
−0.312943 | + | 0.949772i | \(0.601315\pi\) | |||||||
\(434\) | 0.320383 | − | 19.3446i | 0.0153789 | − | 0.928569i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −6.61564 | − | 11.4586i | −0.316832 | − | 0.548769i | ||||
\(437\) | 7.28615 | + | 27.1923i | 0.348544 | + | 1.30078i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.05383 | + | 12.2176i | 0.336661 | + | 0.583114i | 0.983802 | − | 0.179256i | \(-0.0573690\pi\) |
−0.647141 | + | 0.762370i | \(0.724036\pi\) | |||||||
\(440\) | 6.94616 | + | 5.77563i | 0.331145 | + | 0.275342i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.417892 | + | 0.417892i | 0.0198771 | + | 0.0198771i | ||||
\(443\) | 20.3457 | + | 5.45161i | 0.966652 | + | 0.259014i | 0.707414 | − | 0.706800i | \(-0.249862\pi\) |
0.259238 | + | 0.965813i | \(0.416528\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.23919 | − | 2.87538i | −0.295766 | − | 0.136306i | ||||
\(446\) | 11.4542 | − | 6.61308i | 0.542371 | − | 0.313138i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.83959 | + | 1.90155i | 0.0869125 | + | 0.0898399i | ||||
\(449\) | − | 31.3247i | − | 1.47831i | −0.673538 | − | 0.739153i | \(-0.735226\pi\) | ||
0.673538 | − | 0.739153i | \(-0.264774\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9.05278 | − | 5.22662i | −0.426279 | − | 0.246112i | ||||
\(452\) | 13.3233 | − | 3.56998i | 0.626677 | − | 0.167918i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 16.1938 | 0.760014 | ||||||||
\(455\) | 1.41588 | − | 0.966145i | 0.0663776 | − | 0.0452936i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.740622 | + | 2.76404i | −0.0346448 | + | 0.129296i | −0.981082 | − | 0.193591i | \(-0.937987\pi\) |
0.946438 | + | 0.322887i | \(0.104653\pi\) | |||||||
\(458\) | 11.3751 | − | 3.04796i | 0.531525 | − | 0.142422i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −10.0012 | − | 1.71727i | −0.466309 | − | 0.0800681i | ||||
\(461\) | − | 3.02674i | − | 0.140969i | −0.997513 | − | 0.0704846i | \(-0.977545\pi\) | ||
0.997513 | − | 0.0704846i | \(-0.0224546\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 19.2889 | − | 19.2889i | 0.896431 | − | 0.896431i | −0.0986876 | − | 0.995118i | \(-0.531464\pi\) |
0.995118 | + | 0.0986876i | \(0.0314644\pi\) | |||||||
\(464\) | −6.19961 | + | 3.57935i | −0.287810 | + | 0.166167i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.86212 | − | 4.95734i | 0.132585 | − | 0.229644i | ||||
\(467\) | 24.2727 | + | 6.50385i | 1.12321 | + | 0.300962i | 0.772180 | − | 0.635403i | \(-0.219166\pi\) |
0.351026 | + | 0.936366i | \(0.385833\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.29784 | + | 7.16729i | −0.198456 | + | 0.330955i | ||||
\(470\) | 0.0645612 | + | 0.701677i | 0.00297799 | + | 0.0323660i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.221395 | − | 0.826257i | −0.0101905 | − | 0.0380316i | ||||
\(473\) | −7.36115 | − | 27.4722i | −0.338466 | − | 1.26317i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 30.4959 | − | 5.65976i | 1.39925 | − | 0.259688i | ||||
\(476\) | 2.62056 | + | 4.71767i | 0.120113 | + | 0.216234i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 8.05384 | + | 2.15802i | 0.368374 | + | 0.0987055i | ||||
\(479\) | −4.14346 | + | 7.17668i | −0.189319 | + | 0.327911i | −0.945024 | − | 0.327002i | \(-0.893961\pi\) |
0.755704 | + | 0.654913i | \(0.227295\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.16069 | + | 0.670127i | −0.0529231 | + | 0.0305551i | ||||
\(482\) | −2.09613 | + | 2.09613i | −0.0954763 | + | 0.0954763i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 5.32139i | 0.241881i | ||||||||
\(485\) | 3.54860 | − | 20.6667i | 0.161134 | − | 0.938427i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −10.3144 | + | 2.76375i | −0.467392 | + | 0.125237i | −0.484826 | − | 0.874611i | \(-0.661117\pi\) |
0.0174340 | + | 0.999848i | \(0.494450\pi\) | |||||||
\(488\) | −1.79123 | + | 6.68495i | −0.0810850 | + | 0.302613i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 14.8558 | − | 4.93014i | 0.671115 | − | 0.222721i | ||||
\(491\) | −25.7259 | −1.16100 | −0.580498 | − | 0.814262i | \(-0.697142\pi\) | ||||
−0.580498 | + | 0.814262i | \(0.697142\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −14.1043 | + | 3.77924i | −0.635227 | + | 0.170209i | ||||
\(494\) | 1.55654 | + | 0.898666i | 0.0700319 | + | 0.0404329i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 7.31256i | 0.328344i | ||||||||
\(497\) | 13.5436 | − | 13.1023i | 0.607514 | − | 0.587719i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.6429 | − | 7.29940i | 0.565975 | − | 0.326766i | −0.189565 | − | 0.981868i | \(-0.560708\pi\) |
0.755540 | + | 0.655102i | \(0.227374\pi\) | |||||||
\(500\) | −2.74812 | + | 10.8373i | −0.122900 | + | 0.484660i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −15.6287 | − | 4.18770i | −0.697543 | − | 0.186906i | ||||
\(503\) | 13.9891 | + | 13.9891i | 0.623744 | + | 0.623744i | 0.946487 | − | 0.322743i | \(-0.104605\pi\) |
−0.322743 | + | 0.946487i | \(0.604605\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 22.0182 | − | 2.02589i | 0.979798 | − | 0.0901510i | ||||
\(506\) | −9.16697 | − | 15.8777i | −0.407522 | − | 0.705848i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.805197 | + | 3.00504i | 0.0357248 | + | 0.133327i | ||||
\(509\) | 1.42883 | + | 2.47481i | 0.0633319 | + | 0.109694i | 0.895953 | − | 0.444149i | \(-0.146494\pi\) |
−0.832621 | + | 0.553843i | \(0.813161\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 15.6825 | − | 26.1530i | 0.693754 | − | 1.15694i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −2.91234 | + | 5.04433i | −0.128458 | + | 0.222496i | ||||
\(515\) | −3.31513 | − | 8.98269i | −0.146082 | − | 0.395825i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.900216 | + | 0.900216i | −0.0395914 | + | 0.0395914i | ||||
\(518\) | −11.8724 | + | 2.97139i | −0.521644 | + | 0.130555i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.529033 | + | 0.373980i | −0.0231996 | + | 0.0164001i | ||||
\(521\) | −24.7917 | − | 14.3135i | −1.08614 | − | 0.627084i | −0.153595 | − | 0.988134i | \(-0.549085\pi\) |
−0.932547 | + | 0.361049i | \(0.882419\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8.17429 | − | 30.5069i | 0.357437 | − | 1.33397i | −0.519954 | − | 0.854195i | \(-0.674051\pi\) |
0.877390 | − | 0.479777i | \(-0.159283\pi\) | |||||||
\(524\) | −7.29876 | −0.318848 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.73712 | 0.0757422 | ||||||||
\(527\) | −3.86048 | + | 14.4075i | −0.168165 | + | 0.627600i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2.08308 | − | 1.20267i | −0.0905687 | − | 0.0522899i | ||||
\(530\) | 15.1233 | − | 10.6909i | 0.656914 | − | 0.464381i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 11.4116 | + | 11.7960i | 0.494755 | + | 0.511419i | ||||
\(533\) | 0.530105 | − | 0.530105i | 0.0229614 | − | 0.0229614i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −11.5139 | − | 31.1981i | −0.497790 | − | 1.34881i | ||||
\(536\) | 1.57935 | − | 2.73551i | 0.0682174 | − | 0.118156i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −2.67525 | − | 2.67525i | −0.115338 | − | 0.115338i | ||||
\(539\) | 24.0094 | + | 14.9432i | 1.03416 | + | 0.643648i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −18.4994 | − | 32.0420i | −0.795353 | − | 1.37759i | −0.922615 | − | 0.385722i | \(-0.873952\pi\) |
0.127262 | − | 0.991869i | \(-0.459381\pi\) | |||||||
\(542\) | −5.49985 | − | 20.5257i | −0.236239 | − | 0.881655i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.01987 | − | 1.76647i | −0.0437266 | − | 0.0757366i | ||||
\(545\) | 29.4616 | − | 2.71076i | 1.26200 | − | 0.116116i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −20.0765 | − | 20.0765i | −0.858409 | − | 0.858409i | 0.132742 | − | 0.991151i | \(-0.457622\pi\) |
−0.991151 | + | 0.132742i | \(0.957622\pi\) | |||||||
\(548\) | −6.93431 | − | 1.85804i | −0.296219 | − | 0.0793717i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −18.2300 | + | 8.70071i | −0.777329 | + | 0.370999i | ||||
\(551\) | −38.4582 | + | 22.2039i | −1.63838 | + | 0.945916i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.69043 | + | 12.9136i | −0.156933 | + | 0.549141i | ||||
\(554\) | 4.89016i | 0.207763i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 10.7536 | + | 6.20859i | 0.456054 | + | 0.263303i | ||||
\(557\) | −24.8367 | + | 6.65499i | −1.05237 | + | 0.281981i | −0.743229 | − | 0.669037i | \(-0.766707\pi\) |
−0.309137 | + | 0.951017i | \(0.600040\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.03974 | 0.0862718 | ||||||||
\(560\) | −5.58332 | + | 1.95614i | −0.235939 | + | 0.0826621i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −7.62937 | + | 28.4732i | −0.321825 | + | 1.20107i | ||||
\(563\) | −5.18407 | + | 1.38907i | −0.218482 | + | 0.0585422i | −0.366400 | − | 0.930458i | \(-0.619410\pi\) |
0.147917 | + | 0.989000i | \(0.452743\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5.21952 | + | 30.3980i | −0.219587 | + | 1.27885i | ||||
\(566\) | − | 11.2836i | − | 0.474286i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.03630 | + | 5.03630i | −0.211318 | + | 0.211318i | ||||
\(569\) | 22.0839 | − | 12.7502i | 0.925806 | − | 0.534514i | 0.0403234 | − | 0.999187i | \(-0.487161\pi\) |
0.885483 | + | 0.464672i | \(0.153828\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.95235 | + | 13.7739i | −0.332795 | + | 0.576419i | −0.983059 | − | 0.183290i | \(-0.941325\pi\) |
0.650263 | + | 0.759709i | \(0.274659\pi\) | |||||||
\(572\) | −1.13064 | − | 0.302955i | −0.0472746 | − | 0.0126672i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 5.98447 | − | 3.32424i | 0.249787 | − | 0.138751i | ||||
\(575\) | 12.8476 | − | 18.7031i | 0.535781 | − | 0.779973i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.96565 | − | 22.2641i | −0.248353 | − | 0.926867i | −0.971668 | − | 0.236349i | \(-0.924049\pi\) |
0.723315 | − | 0.690518i | \(-0.242617\pi\) | |||||||
\(578\) | 3.32310 | + | 12.4020i | 0.138223 | + | 0.515854i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.46664 | − | 15.9400i | −0.0608988 | − | 0.661872i | ||||
\(581\) | 14.4173 | + | 0.238779i | 0.598132 | + | 0.00990621i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 32.3214 | + | 8.66048i | 1.33861 | + | 0.358681i | ||||
\(584\) | −5.76293 | + | 9.98169i | −0.238472 | + | 0.413045i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 8.85989 | − | 5.11526i | 0.365999 | − | 0.211310i | ||||
\(587\) | 28.2277 | − | 28.2277i | 1.16508 | − | 1.16508i | 0.181734 | − | 0.983348i | \(-0.441829\pi\) |
0.983348 | − | 0.181734i | \(-0.0581711\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 45.3622i | 1.86912i | ||||||||
\(590\) | 1.88515 | + | 0.323692i | 0.0776105 | + | 0.0133262i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 4.46814 | − | 1.19723i | 0.183639 | − | 0.0492060i | ||||
\(593\) | 9.16977 | − | 34.2220i | 0.376557 | − | 1.40533i | −0.474499 | − | 0.880256i | \(-0.657371\pi\) |
0.851056 | − | 0.525075i | \(-0.175963\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −12.0332 | + | 0.906496i | −0.493312 | + | 0.0371627i | ||||
\(596\) | −23.9483 | −0.980963 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.27006 | − | 0.340312i | 0.0519367 | − | 0.0139164i | ||||
\(599\) | 14.5339 | + | 8.39115i | 0.593839 | + | 0.342853i | 0.766614 | − | 0.642108i | \(-0.221940\pi\) |
−0.172775 | + | 0.984961i | \(0.555273\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.73528i | 0.0707833i | 0.999374 | + | 0.0353917i | \(0.0112679\pi\) | ||||
−0.999374 | + | 0.0353917i | \(0.988732\pi\) | |||||||
\(602\) | 17.9091 | + | 5.11804i | 0.729919 | + | 0.208596i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.06862 | + | 1.77167i | −0.124860 | + | 0.0720881i | ||||
\(605\) | −10.8066 | − | 4.98031i | −0.439350 | − | 0.202478i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 38.0930 | + | 10.2070i | 1.54615 | + | 0.414288i | 0.928245 | − | 0.371968i | \(-0.121317\pi\) |
0.617900 | + | 0.786257i | \(0.287984\pi\) | |||||||
\(608\) | −4.38642 | − | 4.38642i | −0.177893 | − | 0.177893i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −11.8993 | − | 9.89407i | −0.481787 | − | 0.400599i | ||||
\(611\) | −0.0456517 | − | 0.0790711i | −0.00184687 | − | 0.00319887i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0.0885018 | + | 0.330293i | 0.00357455 | + | 0.0133404i | 0.967690 | − | 0.252143i | \(-0.0811352\pi\) |
−0.964116 | + | 0.265483i | \(0.914469\pi\) | |||||||
\(614\) | 0.762678 | + | 1.32100i | 0.0307792 | + | 0.0533111i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −9.16697 | − | 5.49694i | −0.369348 | − | 0.221478i | ||||
\(617\) | −11.1876 | − | 11.1876i | −0.450397 | − | 0.450397i | 0.445089 | − | 0.895486i | \(-0.353172\pi\) |
−0.895486 | + | 0.445089i | \(0.853172\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −18.2682 | + | 31.6414i | −0.734260 | + | 1.27178i | 0.220787 | + | 0.975322i | \(0.429138\pi\) |
−0.955047 | + | 0.296454i | \(0.904196\pi\) | |||||||
\(620\) | −14.8502 | − | 6.84386i | −0.596400 | − | 0.274856i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −6.80819 | + | 6.80819i | −0.272984 | + | 0.272984i | ||||
\(623\) | 7.81566 | + | 2.23356i | 0.313128 | + | 0.0894855i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.4363 | − | 15.7235i | −0.777452 | − | 0.628942i | ||||
\(626\) | 2.62123 | + | 1.51337i | 0.104766 | + | 0.0604864i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.58462 | + | 5.91389i | −0.0632333 | + | 0.235990i | ||||
\(629\) | 9.43535 | 0.376212 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −35.8189 | −1.42593 | −0.712964 | − | 0.701201i | \(-0.752648\pi\) | ||||
−0.712964 | + | 0.701201i | \(0.752648\pi\) | |||||||
\(632\) | 1.31384 | − | 4.90330i | 0.0522616 | − | 0.195043i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.68760 | − | 0.974335i | −0.0670231 | − | 0.0386958i | ||||
\(635\) | −6.85616 | − | 1.17725i | −0.272079 | − | 0.0467176i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.48083 | + | 1.38585i | −0.0586726 | + | 0.0549093i | ||||
\(638\) | 20.4502 | − | 20.4502i | 0.809631 | − | 0.809631i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 2.09777 | − | 0.774197i | 0.0829215 | − | 0.0306028i | ||||
\(641\) | −7.16573 | + | 12.4114i | −0.283029 | + | 0.490221i | −0.972129 | − | 0.234445i | \(-0.924673\pi\) |
0.689100 | + | 0.724666i | \(0.258006\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.65201 | − | 7.65201i | −0.301766 | − | 0.301766i | 0.539939 | − | 0.841704i | \(-0.318447\pi\) |
−0.841704 | + | 0.539939i | \(0.818447\pi\) | |||||||
\(644\) | 12.0051 | + | 0.198828i | 0.473068 | + | 0.00783492i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −6.32659 | − | 10.9580i | −0.248916 | − | 0.431136i | ||||
\(647\) | −8.37254 | − | 31.2468i | −0.329159 | − | 1.22844i | −0.910065 | − | 0.414466i | \(-0.863968\pi\) |
0.580906 | − | 0.813971i | \(-0.302698\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.72791 | + | 2.99282i | 0.0678262 | + | 0.117478i | ||||
\(650\) | −0.264349 | − | 1.42436i | −0.0103686 | − | 0.0558681i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −11.7082 | − | 11.7082i | −0.458528 | − | 0.458528i | ||||
\(653\) | −0.494788 | − | 0.132578i | −0.0193625 | − | 0.00518818i | 0.249125 | − | 0.968471i | \(-0.419857\pi\) |
−0.268487 | + | 0.963283i | \(0.586524\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 6.83094 | − | 14.8222i | 0.266907 | − | 0.579151i | ||||
\(656\) | −2.24080 | + | 1.29373i | −0.0874886 | + | 0.0505116i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.202423 | − | 0.808797i | −0.00789127 | − | 0.0315302i | ||||
\(659\) | − | 19.5542i | − | 0.761723i | −0.924632 | − | 0.380862i | \(-0.875627\pi\) | ||
0.924632 | − | 0.380862i | \(-0.124373\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 34.0324 | + | 19.6486i | 1.32371 | + | 0.764242i | 0.984318 | − | 0.176405i | \(-0.0564468\pi\) |
0.339388 | + | 0.940647i | \(0.389780\pi\) | |||||||
\(662\) | −27.9090 | + | 7.47819i | −1.08471 | + | 0.290648i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −5.44998 | −0.211500 | ||||||||
\(665\) | −34.6352 | + | 12.1346i | −1.34310 | + | 0.470559i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −8.40828 | + | 31.3801i | −0.325570 | + | 1.21504i | ||||
\(668\) | 14.0527 | − | 3.76542i | 0.543716 | − | 0.145688i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 4.07711 | + | 5.76749i | 0.157512 | + | 0.222817i | ||||
\(671\) | − | 27.9597i | − | 1.07937i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 18.4813 | − | 18.4813i | 0.712401 | − | 0.712401i | −0.254636 | − | 0.967037i | \(-0.581956\pi\) |
0.967037 | + | 0.254636i | \(0.0819556\pi\) | |||||||
\(674\) | 1.00824 | − | 0.582108i | 0.0388360 | − | 0.0224220i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −6.45803 | + | 11.1856i | −0.248386 | + | 0.430217i | ||||
\(677\) | 39.7951 | + | 10.6631i | 1.52945 | + | 0.409815i | 0.922840 | − | 0.385183i | \(-0.125862\pi\) |
0.606611 | + | 0.794999i | \(0.292528\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.410862 | + | 24.8076i | −0.0157674 | + | 0.952030i | ||||
\(680\) | 4.54181 | − | 0.417892i | 0.174171 | − | 0.0160254i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −7.64618 | − | 28.5359i | −0.292787 | − | 1.09270i | ||||
\(683\) | 2.36248 | + | 8.81689i | 0.0903978 | + | 0.337369i | 0.996282 | − | 0.0861573i | \(-0.0274588\pi\) |
−0.905884 | + | 0.423526i | \(0.860792\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 10.2631 | − | 12.3431i | 0.392134 | − | 0.471607i | ||||
\(686\) | −16.4791 | + | 8.45219i | −0.629175 | + | 0.322706i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −6.80009 | − | 1.82208i | −0.259251 | − | 0.0694661i | ||||
\(689\) | −1.19989 | + | 2.07827i | −0.0457121 | + | 0.0791758i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −41.9971 | + | 24.2470i | −1.59765 | + | 0.922401i | −0.605706 | + | 0.795689i | \(0.707109\pi\) |
−0.991940 | + | 0.126712i | \(0.959558\pi\) | |||||||
\(692\) | 5.49565 | − | 5.49565i | 0.208913 | − | 0.208913i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 16.7042i | − | 0.634082i | ||||||
\(695\) | −22.6726 | + | 16.0276i | −0.860022 | + | 0.607960i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.09790 | + | 1.36598i | −0.193097 | + | 0.0517401i | ||||
\(698\) | 9.50244 | − | 35.4636i | 0.359673 | − | 1.34232i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.25296 | − | 13.1693i | 0.0473573 | − | 0.497752i | ||||
\(701\) | 30.8898 | 1.16669 | 0.583347 | − | 0.812223i | \(-0.301743\pi\) | ||||
0.583347 | + | 0.812223i | \(0.301743\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 27.7173 | − | 7.42684i | 1.04538 | − | 0.280109i | ||||
\(704\) | 3.49872 | + | 2.01999i | 0.131863 | + | 0.0761311i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 14.2708i | 0.537089i | ||||||||
\(707\) | −25.3796 | + | 6.35191i | −0.954496 | + | 0.238888i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.7354 | − | 7.35277i | 0.478287 | − | 0.276139i | −0.241416 | − | 0.970422i | \(-0.577612\pi\) |
0.719702 | + | 0.694283i | \(0.244278\pi\) | |||||||
\(710\) | −5.51414 | − | 14.9411i | −0.206942 | − | 0.560730i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −2.96762 | − | 0.795171i | −0.111216 | − | 0.0298003i | ||||
\(713\) | 23.4656 | + | 23.4656i | 0.878795 | + | 0.878795i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.67341 | − | 2.01256i | 0.0625821 | − | 0.0752654i | ||||
\(716\) | −1.93236 | − | 3.34695i | −0.0722157 | − | 0.125081i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −7.01110 | − | 26.1658i | −0.261652 | − | 0.976499i | ||||
\(719\) | 11.7360 | + | 20.3273i | 0.437679 | + | 0.758082i | 0.997510 | − | 0.0705247i | \(-0.0224674\pi\) |
−0.559831 | + | 0.828607i | \(0.689134\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.50134 | + | 9.90382i | 0.204881 | + | 0.368837i | ||||
\(722\) | −13.7753 | − | 13.7753i | −0.512665 | − | 0.512665i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 3.49553 | − | 6.05444i | 0.129911 | − | 0.225012i | ||||
\(725\) | 33.7433 | + | 11.9399i | 1.25320 | + | 0.443436i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 14.1380 | − | 14.1380i | 0.524349 | − | 0.524349i | −0.394533 | − | 0.918882i | \(-0.629093\pi\) |
0.918882 | + | 0.394533i | \(0.129093\pi\) | |||||||
\(728\) | 0.550950 | − | 0.532998i | 0.0204196 | − | 0.0197542i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −14.8771 | − | 21.0452i | −0.550626 | − | 0.778917i | ||||
\(731\) | −12.4359 | − | 7.17986i | −0.459958 | − | 0.265557i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.17859 | + | 26.7908i | −0.265147 | + | 0.989543i | 0.697013 | + | 0.717058i | \(0.254512\pi\) |
−0.962160 | + | 0.272484i | \(0.912155\pi\) | |||||||
\(734\) | −22.6715 | −0.836821 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.53813 | −0.167278 | ||||||||
\(737\) | −3.30280 | + | 12.3262i | −0.121660 | + | 0.454042i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 11.7451 | + | 6.78102i | 0.432050 | + | 0.249444i | 0.700219 | − | 0.713928i | \(-0.253085\pi\) |
−0.268170 | + | 0.963372i | \(0.586419\pi\) | |||||||
\(740\) | −1.75043 | + | 10.1943i | −0.0643470 | + | 0.374751i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −15.7498 | + | 15.2366i | −0.578194 | + | 0.559354i | ||||
\(743\) | −13.5961 | + | 13.5961i | −0.498791 | + | 0.498791i | −0.911062 | − | 0.412270i | \(-0.864736\pi\) |
0.412270 | + | 0.911062i | \(0.364736\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 22.4134 | − | 48.6339i | 0.821162 | − | 1.78181i | ||||
\(746\) | −6.41789 | + | 11.1161i | −0.234976 | + | 0.406990i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 5.82691 | + | 5.82691i | 0.213053 | + | 0.213053i | ||||
\(749\) | 19.1069 | + | 34.3973i | 0.698152 | + | 1.25685i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −21.8309 | − | 37.8123i | −0.796622 | − | 1.37979i | −0.921804 | − | 0.387656i | \(-0.873285\pi\) |
0.125182 | − | 0.992134i | \(-0.460049\pi\) | |||||||
\(752\) | 0.0815604 | + | 0.304388i | 0.00297420 | + | 0.0110999i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.03707 | + | 1.79626i | 0.0377678 | + | 0.0654158i | ||||
\(755\) | −0.725941 | − | 7.88981i | −0.0264197 | − | 0.287140i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 7.88896 | + | 7.88896i | 0.286729 | + | 0.286729i | 0.835785 | − | 0.549056i | \(-0.185013\pi\) |
−0.549056 | + | 0.835785i | \(0.685013\pi\) | |||||||
\(758\) | −13.9807 | − | 3.74613i | −0.507803 | − | 0.136065i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 13.0131 | − | 4.80260i | 0.472036 | − | 0.174208i | ||||
\(761\) | 1.70923 | − | 0.986825i | 0.0619596 | − | 0.0357724i | −0.468700 | − | 0.883357i | \(-0.655278\pi\) |
0.530660 | + | 0.847585i | \(0.321944\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −33.9593 | + | 8.49921i | −1.22941 | + | 0.307692i | ||||
\(764\) | − | 4.47442i | − | 0.161879i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1.51691 | − | 0.875788i | −0.0548082 | − | 0.0316435i | ||||
\(767\) | −0.239397 | + | 0.0641463i | −0.00864413 | + | 0.00231619i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 17.4914 | 0.630756 | 0.315378 | − | 0.948966i | \(-0.397869\pi\) | ||||
0.315378 | + | 0.948966i | \(0.397869\pi\) | |||||||
\(770\) | 19.7425 | − | 13.4715i | 0.711470 | − | 0.485480i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −5.19573 | + | 19.3907i | −0.186998 | + | 0.697887i | ||||
\(773\) | −43.1933 | + | 11.5736i | −1.55355 | + | 0.416274i | −0.930616 | − | 0.365997i | \(-0.880728\pi\) |
−0.622939 | + | 0.782271i | \(0.714061\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 27.7968 | − | 23.7524i | 0.998491 | − | 0.853212i | ||||
\(776\) | − | 9.37769i | − | 0.336640i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.96738 | − | 1.96738i | 0.0705341 | − | 0.0705341i | ||||
\(779\) | −13.9004 | + | 8.02542i | −0.498035 | + | 0.287540i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 14.3871 | − | 24.9193i | 0.514813 | − | 0.891682i | ||||
\(782\) | −8.94120 | − | 2.39579i | −0.319737 | − | 0.0856732i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.17475 | − | 3.29733i | 0.220527 | − | 0.117762i | ||||
\(785\) | −10.5268 | − | 8.75286i | −0.375717 | − | 0.312403i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 6.71595 | + | 25.0643i | 0.239398 | + | 0.893445i | 0.976117 | + | 0.217246i | \(0.0697074\pi\) |
−0.736719 | + | 0.676199i | \(0.763626\pi\) | |||||||
\(788\) | −2.87294 | − | 10.7220i | −0.102344 | − | 0.381954i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 8.72792 | + | 7.25713i | 0.310525 | + | 0.258197i | ||||
\(791\) | 0.604323 | − | 36.4887i | 0.0214873 | − | 1.29739i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.93688 | + | 0.518984i | 0.0687805 | + | 0.0184297i | ||||
\(794\) | −19.8340 | + | 34.3535i | −0.703881 | + | 1.21916i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −9.35485 | + | 5.40103i | −0.331574 | + | 0.191434i | ||||
\(797\) | −37.3374 | + | 37.3374i | −1.32256 | + | 1.32256i | −0.410861 | + | 0.911698i | \(0.634772\pi\) |
−0.911698 | + | 0.410861i | \(0.865228\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.642773i | 0.0227397i | ||||||||
\(800\) | −0.391082 | + | 4.98468i | −0.0138268 | + | 0.176235i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 19.2901 | − | 5.16876i | 0.681156 | − | 0.182515i | ||||
\(803\) | 12.0517 | − | 44.9776i | 0.425295 | − | 1.58722i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −11.6394 | + | 24.1937i | −0.410236 | + | 0.852717i | ||||
\(806\) | 2.11872 | 0.0746287 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 9.55150 | − | 2.55932i | 0.336021 | − | 0.0900364i | ||||
\(809\) | −13.9001 | − | 8.02525i | −0.488703 | − | 0.282153i | 0.235333 | − | 0.971915i | \(-0.424382\pi\) |
−0.724036 | + | 0.689762i | \(0.757715\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 35.4040i | − | 1.24320i | −0.783334 | − | 0.621602i | \(-0.786482\pi\) | ||
0.783334 | − | 0.621602i | \(-0.213518\pi\) | |||||||
\(812\) | 4.59844 | + | 18.3734i | 0.161374 | + | 0.644781i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −16.1842 | + | 9.34397i | −0.567257 | + | 0.327506i | ||||
\(815\) | 34.7345 | − | 12.8190i | 1.21670 | − | 0.449032i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −42.1832 | − | 11.3030i | −1.47580 | − | 0.395440i | ||||
\(818\) | 10.8227 | + | 10.8227i | 0.378407 | + | 0.378407i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.530105 | − | 5.76139i | −0.0185121 | − | 0.201196i | ||||
\(821\) | 13.4231 | + | 23.2495i | 0.468469 | + | 0.811412i | 0.999351 | − | 0.0360337i | \(-0.0114724\pi\) |
−0.530881 | + | 0.847446i | \(0.678139\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 7.24225 | + | 27.0285i | 0.252449 | + | 0.942153i | 0.969492 | + | 0.245124i | \(0.0788286\pi\) |
−0.717043 | + | 0.697029i | \(0.754505\pi\) | |||||||
\(824\) | −2.14101 | − | 3.70835i | −0.0745858 | − | 0.129186i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −2.26288 | − | 0.0374776i | −0.0787355 | − | 0.00130401i | ||||
\(827\) | −16.8901 | − | 16.8901i | −0.587325 | − | 0.587325i | 0.349581 | − | 0.936906i | \(-0.386324\pi\) |
−0.936906 | + | 0.349581i | \(0.886324\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −7.08412 | + | 12.2701i | −0.246042 | + | 0.426157i | −0.962424 | − | 0.271551i | \(-0.912463\pi\) |
0.716382 | + | 0.697708i | \(0.245797\pi\) | |||||||
\(830\) | 5.10066 | − | 11.0677i | 0.177047 | − | 0.384167i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.204875 | + | 0.204875i | −0.00710276 | + | 0.00710276i | ||||
\(833\) | 13.9065 | − | 3.23673i | 0.481831 | − | 0.112146i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −5.50526 | + | 32.0621i | −0.190517 | + | 1.10956i | ||||
\(836\) | 21.7037 | + | 12.5306i | 0.750638 | + | 0.433381i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 7.17000 | − | 26.7588i | 0.247683 | − | 0.924367i | ||||
\(839\) | 18.1874 | 0.627900 | 0.313950 | − | 0.949439i | \(-0.398348\pi\) | ||||
0.313950 | + | 0.949439i | \(0.398348\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −22.2469 | −0.767134 | ||||||||
\(842\) | −8.54515 | + | 31.8909i | −0.294485 | + | 1.09903i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −6.55196 | − | 3.78278i | −0.225528 | − | 0.130209i | ||||
\(845\) | −16.6715 | − | 23.5835i | −0.573517 | − | 0.811298i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 13.5371 | + | 3.86863i | 0.465141 | + | 0.132928i | ||||
\(848\) | 5.85669 | − | 5.85669i | 0.201120 | − | 0.201120i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −3.40206 | + | 9.61455i | −0.116690 | + | 0.329776i | ||||
\(851\) | 10.4962 | − | 18.1799i | 0.359804 | − | 0.623198i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 17.4820 | + | 17.4820i | 0.598574 | + | 0.598574i | 0.939933 | − | 0.341359i | \(-0.110887\pi\) |
−0.341359 | + | 0.939933i | \(0.610887\pi\) | |||||||
\(854\) | 15.7037 | + | 9.41665i | 0.537369 | + | 0.322231i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −7.43604 | − | 12.8796i | −0.254159 | − | 0.440216i | ||||
\(857\) | 6.76932 | + | 25.2634i | 0.231235 | + | 0.862982i | 0.979810 | + | 0.199932i | \(0.0640720\pi\) |
−0.748574 | + | 0.663051i | \(0.769261\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −24.4126 | − | 42.2838i | −0.832946 | − | 1.44271i | −0.895692 | − | 0.444676i | \(-0.853319\pi\) |
0.0627455 | − | 0.998030i | \(-0.480014\pi\) | |||||||
\(860\) | 10.0645 | − | 12.1042i | 0.343196 | − | 0.412751i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 16.9121 | + | 16.9121i | 0.576027 | + | 0.576027i | ||||
\(863\) | 14.8258 | + | 3.97256i | 0.504676 | + | 0.135228i | 0.502169 | − | 0.864769i | \(-0.332535\pi\) |
0.00250685 | + | 0.999997i | \(0.499202\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 6.01708 | + | 16.3039i | 0.204587 | + | 0.554349i | ||||
\(866\) | −16.2298 | + | 9.37026i | −0.551510 | + | 0.318414i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 18.6025 | + | 5.31621i | 0.631410 | + | 0.180444i | ||||
\(869\) | 20.5080i | 0.695686i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.792578 | − | 0.457595i | −0.0268555 | − | 0.0155050i | ||||
\(872\) | 12.7804 | − | 3.42451i | 0.432800 | − | 0.115968i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −28.1515 | −0.952240 | ||||||||
\(875\) | 25.5713 | + | 14.8697i | 0.864469 | + | 0.502687i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −10.2134 | + | 38.1169i | −0.344882 | + | 1.28712i | 0.547868 | + | 0.836565i | \(0.315440\pi\) |
−0.892750 | + | 0.450552i | \(0.851227\pi\) | |||||||
\(878\) | −13.6270 | + | 3.65133i | −0.459888 | + | 0.123227i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −7.37662 | + | 5.21463i | −0.248666 | + | 0.175785i | ||||
\(881\) | 52.5926i | 1.77189i | 0.463791 | + | 0.885945i | \(0.346489\pi\) | ||||
−0.463791 | + | 0.885945i | \(0.653511\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 13.0940 | − | 13.0940i | 0.440649 | − | 0.440649i | −0.451581 | − | 0.892230i | \(-0.649140\pi\) |
0.892230 | + | 0.451581i | \(0.149140\pi\) | |||||||
\(884\) | −0.511811 | + | 0.295494i | −0.0172141 | + | 0.00993854i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −10.5317 | + | 18.2414i | −0.353819 | + | 0.612833i | ||||
\(887\) | −35.6990 | − | 9.56553i | −1.19866 | − | 0.321179i | −0.396354 | − | 0.918098i | \(-0.629725\pi\) |
−0.802302 | + | 0.596919i | \(0.796391\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 8.22991 | + | 0.136303i | 0.276022 | + | 0.00457146i | ||||
\(890\) | 4.39223 | − | 5.28239i | 0.147228 | − | 0.177066i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 3.42318 | + | 12.7755i | 0.114617 | + | 0.427755i | ||||
\(893\) | 0.505946 | + | 1.88822i | 0.0169308 | + | 0.0631867i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 8.60543 | − | 0.791785i | 0.287648 | − | 0.0264664i | ||||
\(896\) | −2.31288 | + | 1.28475i | −0.0772679 | + | 0.0429205i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 30.2574 | + | 8.10744i | 1.00970 | + | 0.270549i | ||||
\(899\) | −26.1742 | + | 45.3351i | −0.872959 | + | 1.51201i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 14.6310 | − | 8.44719i | 0.487428 | − | 0.281417i | ||||
\(902\) | 7.39156 | − | 7.39156i | 0.246112 | − | 0.246112i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 13.7933i | 0.458759i | ||||||||
\(905\) | 9.02378 | + | 12.7651i | 0.299961 | + | 0.424325i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 16.0061 | − | 4.28883i | 0.531474 | − | 0.142408i | 0.0169054 | − | 0.999857i | \(-0.494619\pi\) |
0.514569 | + | 0.857449i | \(0.327952\pi\) | |||||||
\(908\) | −4.19127 | + | 15.6420i | −0.139092 | + | 0.519099i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.566767 | + | 1.61769i | 0.0187881 | + | 0.0536261i | ||||
\(911\) | 1.46770 | 0.0486270 | 0.0243135 | − | 0.999704i | \(-0.492260\pi\) | ||||
0.0243135 | + | 0.999704i | \(0.492260\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 21.2676 | − | 5.69862i | 0.703853 | − | 0.188597i | ||||
\(914\) | −2.47817 | − | 1.43077i | −0.0819705 | − | 0.0473257i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 11.7764i | 0.389103i | ||||||||
\(917\) | −5.30617 | + | 18.5674i | −0.175225 | + | 0.613149i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −24.1523 | + | 13.9443i | −0.796710 | + | 0.459981i | −0.842319 | − | 0.538979i | \(-0.818810\pi\) |
0.0456096 | + | 0.998959i | \(0.485477\pi\) | |||||||
\(920\) | 4.24726 | − | 9.21597i | 0.140028 | − | 0.303842i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 2.92361 | + | 0.783378i | 0.0962838 | + | 0.0257992i | ||||
\(923\) | 1.45920 | + | 1.45920i | 0.0480302 | + | 0.0480302i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −19.0642 | − | 13.0957i | −0.626828 | − | 0.430582i | ||||
\(926\) | 13.6393 | + | 23.6240i | 0.448215 | + | 0.776332i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.85281 | − | 6.91477i | −0.0608213 | − | 0.226988i | ||||
\(929\) | −16.6468 | − | 28.8331i | −0.546164 | − | 0.945984i | −0.998533 | − | 0.0541530i | \(-0.982754\pi\) |
0.452368 | − | 0.891831i | \(-0.350579\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 38.3040 | − | 20.4544i | 1.25536 | − | 0.670367i | ||||
\(932\) | 4.04765 | + | 4.04765i | 0.132585 | + | 0.132585i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −12.5645 | + | 21.7623i | −0.411122 | + | 0.712084i | ||||
\(935\) | −17.2866 | + | 6.37976i | −0.565333 | + | 0.208641i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −25.6651 | + | 25.6651i | −0.838442 | + | 0.838442i | −0.988654 | − | 0.150212i | \(-0.952004\pi\) |
0.150212 | + | 0.988654i | \(0.452004\pi\) | |||||||
\(938\) | −5.81071 | − | 6.00642i | −0.189726 | − | 0.196117i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.694478 | − | 0.119246i | −0.0226514 | − | 0.00388938i | ||||
\(941\) | 21.0732 | + | 12.1666i | 0.686967 | + | 0.396621i | 0.802475 | − | 0.596686i | \(-0.203516\pi\) |
−0.115508 | + | 0.993307i | \(0.536849\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −3.03911 | + | 11.3421i | −0.0989670 | + | 0.369350i | ||||
\(944\) | 0.855404 | 0.0278410 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 28.4413 | 0.924707 | ||||||||
\(947\) | 0.556477 | − | 2.07680i | 0.0180831 | − | 0.0674869i | −0.956295 | − | 0.292405i | \(-0.905545\pi\) |
0.974378 | + | 0.224918i | \(0.0722113\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.89206 | + | 1.66973i | 0.0938804 | + | 0.0542019i | ||||
\(950\) | −2.42601 | + | 30.9216i | −0.0787101 | + | 1.00323i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −5.23517 | + | 1.31024i | −0.169673 | + | 0.0424652i | ||||
\(953\) | 13.1863 | − | 13.1863i | 0.427146 | − | 0.427146i | −0.460509 | − | 0.887655i | \(-0.652333\pi\) |
0.887655 | + | 0.460509i | \(0.152333\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 9.08659 | + | 4.18763i | 0.294035 | + | 0.135509i | ||||
\(956\) | −4.16897 | + | 7.22087i | −0.134834 | + | 0.233540i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −5.85973 | − | 5.85973i | −0.189319 | − | 0.189319i | ||||
\(959\) | −9.76792 | + | 16.2895i | −0.315423 | + | 0.526015i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 11.2368 | + | 19.4627i | 0.362477 | + | 0.627829i | ||||
\(962\) | −0.346883 | − | 1.29459i | −0.0111840 | − | 0.0417391i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1.48219 | − | 2.56723i | −0.0477381 | − | 0.0826849i | ||||
\(965\) | −34.5156 | − | 28.6993i | −1.11110 | − | 0.923862i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −27.7931 | − | 27.7931i | −0.893766 | − | 0.893766i | 0.101109 | − | 0.994875i | \(-0.467761\pi\) |
−0.994875 | + | 0.101109i | \(0.967761\pi\) | |||||||
\(968\) | −5.14006 | − | 1.37728i | −0.165208 | − | 0.0442673i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 19.0441 | + | 8.77662i | 0.611468 | + | 0.281800i | ||||
\(971\) | −12.1029 | + | 6.98760i | −0.388400 | + | 0.224243i | −0.681467 | − | 0.731849i | \(-0.738658\pi\) |
0.293067 | + | 0.956092i | \(0.405324\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 23.6119 | − | 22.8425i | 0.756963 | − | 0.732298i | ||||
\(974\) | − | 10.6783i | − | 0.342155i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −5.99356 | − | 3.46038i | −0.191849 | − | 0.110764i | ||||
\(977\) | 8.06456 | − | 2.16089i | 0.258008 | − | 0.0691331i | −0.127496 | − | 0.991839i | \(-0.540694\pi\) |
0.385505 | + | 0.922706i | \(0.374027\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 12.4120 | 0.396690 | ||||||||
\(980\) | 0.917190 | + | 15.6256i | 0.0292986 | + | 0.499141i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 6.65836 | − | 24.8494i | 0.212477 | − | 0.792975i | ||||
\(983\) | 23.5262 | − | 6.30383i | 0.750370 | − | 0.201061i | 0.136688 | − | 0.990614i | \(-0.456354\pi\) |
0.613682 | + | 0.789553i | \(0.289688\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 24.4628 | + | 4.20041i | 0.779449 | + | 0.133836i | ||||
\(986\) | − | 14.6019i | − | 0.465018i | ||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.27091 | + | 1.27091i | −0.0404329 | + | 0.0404329i | ||||
\(989\) | −27.6681 | + | 15.9742i | −0.879794 | + | 0.507949i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −8.72002 | + | 15.1035i | −0.277000 | + | 0.479779i | −0.970638 | − | 0.240545i | \(-0.922674\pi\) |
0.693637 | + | 0.720324i | \(0.256007\pi\) | |||||||
\(992\) | −7.06340 | − | 1.89263i | −0.224263 | − | 0.0600911i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 9.15051 | + | 16.4733i | 0.290237 | + | 0.522500i | ||||
\(995\) | −2.21307 | − | 24.0525i | −0.0701590 | − | 0.762516i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 6.77324 | + | 25.2781i | 0.214511 | + | 0.800565i | 0.986338 | + | 0.164733i | \(0.0526762\pi\) |
−0.771827 | + | 0.635832i | \(0.780657\pi\) | |||||||
\(998\) | 3.77845 | + | 14.1014i | 0.119605 | + | 0.446371i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 630.2.bv.c.577.2 | 16 | ||
3.2 | odd | 2 | 70.2.k.a.17.4 | yes | 16 | ||
5.3 | odd | 4 | inner | 630.2.bv.c.73.4 | 16 | ||
7.5 | odd | 6 | inner | 630.2.bv.c.397.4 | 16 | ||
12.11 | even | 2 | 560.2.ci.c.17.1 | 16 | |||
15.2 | even | 4 | 350.2.o.c.143.3 | 16 | |||
15.8 | even | 4 | 70.2.k.a.3.2 | ✓ | 16 | ||
15.14 | odd | 2 | 350.2.o.c.157.1 | 16 | |||
21.2 | odd | 6 | 490.2.l.c.117.1 | 16 | |||
21.5 | even | 6 | 70.2.k.a.47.2 | yes | 16 | ||
21.11 | odd | 6 | 490.2.g.c.97.5 | 16 | |||
21.17 | even | 6 | 490.2.g.c.97.8 | 16 | |||
21.20 | even | 2 | 490.2.l.c.227.3 | 16 | |||
35.33 | even | 12 | inner | 630.2.bv.c.523.2 | 16 | ||
60.23 | odd | 4 | 560.2.ci.c.353.1 | 16 | |||
84.47 | odd | 6 | 560.2.ci.c.257.1 | 16 | |||
105.23 | even | 12 | 490.2.l.c.313.3 | 16 | |||
105.38 | odd | 12 | 490.2.g.c.293.5 | 16 | |||
105.47 | odd | 12 | 350.2.o.c.243.1 | 16 | |||
105.53 | even | 12 | 490.2.g.c.293.8 | 16 | |||
105.68 | odd | 12 | 70.2.k.a.33.4 | yes | 16 | ||
105.83 | odd | 4 | 490.2.l.c.423.1 | 16 | |||
105.89 | even | 6 | 350.2.o.c.257.3 | 16 | |||
420.383 | even | 12 | 560.2.ci.c.33.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
70.2.k.a.3.2 | ✓ | 16 | 15.8 | even | 4 | ||
70.2.k.a.17.4 | yes | 16 | 3.2 | odd | 2 | ||
70.2.k.a.33.4 | yes | 16 | 105.68 | odd | 12 | ||
70.2.k.a.47.2 | yes | 16 | 21.5 | even | 6 | ||
350.2.o.c.143.3 | 16 | 15.2 | even | 4 | |||
350.2.o.c.157.1 | 16 | 15.14 | odd | 2 | |||
350.2.o.c.243.1 | 16 | 105.47 | odd | 12 | |||
350.2.o.c.257.3 | 16 | 105.89 | even | 6 | |||
490.2.g.c.97.5 | 16 | 21.11 | odd | 6 | |||
490.2.g.c.97.8 | 16 | 21.17 | even | 6 | |||
490.2.g.c.293.5 | 16 | 105.38 | odd | 12 | |||
490.2.g.c.293.8 | 16 | 105.53 | even | 12 | |||
490.2.l.c.117.1 | 16 | 21.2 | odd | 6 | |||
490.2.l.c.227.3 | 16 | 21.20 | even | 2 | |||
490.2.l.c.313.3 | 16 | 105.23 | even | 12 | |||
490.2.l.c.423.1 | 16 | 105.83 | odd | 4 | |||
560.2.ci.c.17.1 | 16 | 12.11 | even | 2 | |||
560.2.ci.c.33.1 | 16 | 420.383 | even | 12 | |||
560.2.ci.c.257.1 | 16 | 84.47 | odd | 6 | |||
560.2.ci.c.353.1 | 16 | 60.23 | odd | 4 | |||
630.2.bv.c.73.4 | 16 | 5.3 | odd | 4 | inner | ||
630.2.bv.c.397.4 | 16 | 7.5 | odd | 6 | inner | ||
630.2.bv.c.523.2 | 16 | 35.33 | even | 12 | inner | ||
630.2.bv.c.577.2 | 16 | 1.1 | even | 1 | trivial |