Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [476,2,Mod(137,476)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(476, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("476.137");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 476 = 2^{2} \cdot 7 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 476.i (of order \(3\), degree \(2\), 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: | \(3.80087913621\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 137.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 476.137 |
Dual form | 476.2.i.c.205.1 |
$q$-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 \(\left(\mathbb{Z}/476\mathbb{Z}\right)^\times\).
\(n\) | \(239\) | \(309\) | \(409\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 | 0 | ||||||||
\(3\) | 1.50000 | − | 2.59808i | 0.866025 | − | 1.50000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | − | 0.500000i | \(-0.166667\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.00000 | − | 3.46410i | −0.894427 | − | 1.54919i | −0.834512 | − | 0.550990i | \(-0.814250\pi\) |
−0.0599153 | − | 0.998203i | \(-0.519083\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.00000 | + | 1.73205i | 0.755929 | + | 0.654654i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −3.00000 | − | 5.19615i | −1.00000 | − | 1.73205i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.500000 | + | 0.866025i | −0.150756 | + | 0.261116i | −0.931505 | − | 0.363727i | \(-0.881504\pi\) |
0.780750 | + | 0.624844i | \(0.214837\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.00000 | 0.832050 | 0.416025 | − | 0.909353i | \(-0.363423\pi\) | ||||
0.416025 | + | 0.909353i | \(0.363423\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −12.0000 | −3.09839 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.500000 | − | 0.866025i | 0.121268 | − | 0.210042i | ||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.00000 | + | 1.73205i | 0.229416 | + | 0.397360i | 0.957635 | − | 0.287984i | \(-0.0929851\pi\) |
−0.728219 | + | 0.685344i | \(0.759652\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 7.50000 | − | 2.59808i | 1.63663 | − | 0.566947i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.00000 | − | 3.46410i | −0.417029 | − | 0.722315i | 0.578610 | − | 0.815604i | \(-0.303595\pi\) |
−0.995639 | + | 0.0932891i | \(0.970262\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −5.50000 | + | 9.52628i | −1.10000 | + | 1.90526i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −9.00000 | −1.73205 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.00000 | + | 6.92820i | −0.718421 | + | 1.24434i | 0.243204 | + | 0.969975i | \(0.421802\pi\) |
−0.961625 | + | 0.274367i | \(0.911532\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.50000 | + | 2.59808i | 0.261116 | + | 0.452267i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.00000 | − | 10.3923i | 0.338062 | − | 1.75662i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.00000 | − | 6.92820i | −0.657596 | − | 1.13899i | −0.981236 | − | 0.192809i | \(-0.938240\pi\) |
0.323640 | − | 0.946180i | \(-0.395093\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 4.50000 | − | 7.79423i | 0.720577 | − | 1.24808i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.0000 | 1.52499 | 0.762493 | − | 0.646997i | \(-0.223975\pi\) | ||||
0.762493 | + | 0.646997i | \(0.223975\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −12.0000 | + | 20.7846i | −1.78885 | + | 3.09839i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 5.00000 | + | 8.66025i | 0.729325 | + | 1.26323i | 0.957169 | + | 0.289530i | \(0.0934991\pi\) |
−0.227844 | + | 0.973698i | \(0.573168\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.00000 | + | 6.92820i | 0.142857 | + | 0.989743i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.50000 | − | 2.59808i | −0.210042 | − | 0.363803i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.50000 | + | 2.59808i | −0.206041 | + | 0.356873i | −0.950464 | − | 0.310835i | \(-0.899391\pi\) |
0.744423 | + | 0.667708i | \(0.232725\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.00000 | 0.539360 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6.00000 | 0.794719 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 7.00000 | − | 12.1244i | 0.911322 | − | 1.57846i | 0.0991242 | − | 0.995075i | \(-0.468396\pi\) |
0.812198 | − | 0.583382i | \(-0.198271\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.00000 | + | 6.92820i | 0.512148 | + | 0.887066i | 0.999901 | + | 0.0140840i | \(0.00448323\pi\) |
−0.487753 | + | 0.872982i | \(0.662183\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 3.00000 | − | 15.5885i | 0.377964 | − | 1.96396i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −6.00000 | − | 10.3923i | −0.744208 | − | 1.28901i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.00000 | − | 8.66025i | 0.610847 | − | 1.05802i | −0.380251 | − | 0.924883i | \(-0.624162\pi\) |
0.991098 | − | 0.133135i | \(-0.0425044\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −12.0000 | −1.44463 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −5.00000 | −0.593391 | −0.296695 | − | 0.954972i | \(-0.595885\pi\) | ||||
−0.296695 | + | 0.954972i | \(0.595885\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.00000 | − | 13.8564i | 0.936329 | − | 1.62177i | 0.164083 | − | 0.986447i | \(-0.447534\pi\) |
0.772246 | − | 0.635323i | \(-0.219133\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 16.5000 | + | 28.5788i | 1.90526 | + | 3.30000i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −2.50000 | + | 0.866025i | −0.284901 | + | 0.0986928i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.50000 | − | 9.52628i | −0.618798 | − | 1.07179i | −0.989705 | − | 0.143120i | \(-0.954286\pi\) |
0.370907 | − | 0.928670i | \(-0.379047\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −4.50000 | + | 7.79423i | −0.500000 | + | 0.866025i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 12.0000 | 1.31717 | 0.658586 | − | 0.752506i | \(-0.271155\pi\) | ||||
0.658586 | + | 0.752506i | \(0.271155\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.00000 | −0.433861 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −4.50000 | − | 7.79423i | −0.476999 | − | 0.826187i | 0.522654 | − | 0.852545i | \(-0.324942\pi\) |
−0.999653 | + | 0.0263586i | \(0.991609\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.00000 | + | 5.19615i | 0.628971 | + | 0.544705i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 12.0000 | + | 20.7846i | 1.24434 | + | 2.15526i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 4.00000 | − | 6.92820i | 0.410391 | − | 0.710819i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 10.0000 | 1.01535 | 0.507673 | − | 0.861550i | \(-0.330506\pi\) | ||||
0.507673 | + | 0.861550i | \(0.330506\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 6.00000 | 0.603023 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −5.00000 | + | 8.66025i | −0.497519 | + | 0.861727i | −0.999996 | − | 0.00286291i | \(-0.999089\pi\) |
0.502477 | + | 0.864590i | \(0.332422\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.00000 | + | 3.46410i | 0.197066 | + | 0.341328i | 0.947576 | − | 0.319531i | \(-0.103525\pi\) |
−0.750510 | + | 0.660859i | \(0.770192\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −24.0000 | − | 20.7846i | −2.34216 | − | 2.02837i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 1.50000 | + | 2.59808i | 0.145010 | + | 0.251166i | 0.929377 | − | 0.369132i | \(-0.120345\pi\) |
−0.784366 | + | 0.620298i | \(0.787012\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.00000 | + | 6.92820i | −0.383131 | + | 0.663602i | −0.991508 | − | 0.130046i | \(-0.958487\pi\) |
0.608377 | + | 0.793648i | \(0.291821\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −24.0000 | −2.27798 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −8.00000 | −0.752577 | −0.376288 | − | 0.926503i | \(-0.622800\pi\) | ||||
−0.376288 | + | 0.926503i | \(0.622800\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −8.00000 | + | 13.8564i | −0.746004 | + | 1.29212i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −9.00000 | − | 15.5885i | −0.832050 | − | 1.44115i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 2.50000 | − | 0.866025i | 0.229175 | − | 0.0793884i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.00000 | + | 8.66025i | 0.454545 | + | 0.787296i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 24.0000 | 2.14663 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 15.0000 | − | 25.9808i | 1.32068 | − | 2.28748i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 6.00000 | + | 10.3923i | 0.524222 | + | 0.907980i | 0.999602 | + | 0.0281993i | \(0.00897729\pi\) |
−0.475380 | + | 0.879781i | \(0.657689\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.00000 | + | 5.19615i | −0.0867110 | + | 0.450564i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 18.0000 | + | 31.1769i | 1.54919 | + | 2.68328i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −8.50000 | + | 14.7224i | −0.726204 | + | 1.25782i | 0.232273 | + | 0.972651i | \(0.425384\pi\) |
−0.958477 | + | 0.285171i | \(0.907949\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −21.0000 | −1.78120 | −0.890598 | − | 0.454791i | \(-0.849714\pi\) | ||||
−0.890598 | + | 0.454791i | \(0.849714\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 30.0000 | 2.52646 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1.50000 | + | 2.59808i | −0.125436 | + | 0.217262i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 19.5000 | + | 7.79423i | 1.60833 | + | 0.642857i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 5.50000 | + | 9.52628i | 0.450578 | + | 0.780423i | 0.998422 | − | 0.0561570i | \(-0.0178847\pi\) |
−0.547844 | + | 0.836580i | \(0.684551\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.00000 | + | 1.73205i | −0.0813788 | + | 0.140952i | −0.903842 | − | 0.427865i | \(-0.859266\pi\) |
0.822464 | + | 0.568818i | \(0.192599\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −6.00000 | −0.485071 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 32.0000 | 2.57030 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −8.50000 | + | 14.7224i | −0.678374 | + | 1.17498i | 0.297097 | + | 0.954847i | \(0.403982\pi\) |
−0.975470 | + | 0.220131i | \(0.929352\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 4.50000 | + | 7.79423i | 0.356873 | + | 0.618123i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.00000 | − | 10.3923i | 0.157622 | − | 0.819028i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.00000 | − | 10.3923i | −0.469956 | − | 0.813988i | 0.529454 | − | 0.848339i | \(-0.322397\pi\) |
−0.999410 | + | 0.0343508i | \(0.989064\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.00000 | − | 10.3923i | 0.467099 | − | 0.809040i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 17.0000 | 1.31550 | 0.657750 | − | 0.753237i | \(-0.271508\pi\) | ||||
0.657750 | + | 0.753237i | \(0.271508\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.00000 | −0.307692 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 6.00000 | − | 10.3923i | 0.458831 | − | 0.794719i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −3.00000 | − | 5.19615i | −0.228086 | − | 0.395056i | 0.729155 | − | 0.684349i | \(-0.239913\pi\) |
−0.957241 | + | 0.289292i | \(0.906580\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −27.5000 | + | 9.52628i | −2.07880 | + | 0.720119i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −21.0000 | − | 36.3731i | −1.57846 | − | 2.73397i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −8.00000 | + | 13.8564i | −0.597948 | + | 1.03568i | 0.395175 | + | 0.918606i | \(0.370684\pi\) |
−0.993124 | + | 0.117071i | \(0.962650\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.00000 | −0.445976 | −0.222988 | − | 0.974821i | \(-0.571581\pi\) | ||||
−0.222988 | + | 0.974821i | \(0.571581\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 24.0000 | 1.77413 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −16.0000 | + | 27.7128i | −1.17634 | + | 2.03749i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.500000 | + | 0.866025i | 0.0365636 | + | 0.0633300i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −18.0000 | − | 15.5885i | −1.30931 | − | 1.13389i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −6.00000 | − | 10.3923i | −0.434145 | − | 0.751961i | 0.563081 | − | 0.826402i | \(-0.309616\pi\) |
−0.997225 | + | 0.0744412i | \(0.976283\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.00000 | + | 12.1244i | −0.503871 | + | 0.872730i | 0.496119 | + | 0.868255i | \(0.334758\pi\) |
−0.999990 | + | 0.00447566i | \(0.998575\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −36.0000 | −2.57801 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −14.0000 | −0.997459 | −0.498729 | − | 0.866758i | \(-0.666200\pi\) | ||||
−0.498729 | + | 0.866758i | \(0.666200\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.50000 | − | 2.59808i | 0.106332 | − | 0.184173i | −0.807950 | − | 0.589252i | \(-0.799423\pi\) |
0.914282 | + | 0.405079i | \(0.132756\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −15.0000 | − | 25.9808i | −1.05802 | − | 1.83254i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −12.0000 | + | 20.7846i | −0.834058 | + | 1.44463i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −2.00000 | −0.138343 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 20.0000 | 1.37686 | 0.688428 | − | 0.725304i | \(-0.258301\pi\) | ||||
0.688428 | + | 0.725304i | \(0.258301\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −7.50000 | + | 12.9904i | −0.513892 | + | 0.890086i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −20.0000 | − | 34.6410i | −1.36399 | − | 2.36250i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −20.0000 | + | 6.92820i | −1.35769 | + | 0.470317i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −24.0000 | − | 41.5692i | −1.62177 | − | 2.80899i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.50000 | − | 2.59808i | 0.100901 | − | 0.174766i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.00000 | −0.401790 | −0.200895 | − | 0.979613i | \(-0.564385\pi\) | ||||
−0.200895 | + | 0.979613i | \(0.564385\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 66.0000 | 4.40000 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 1.50000 | − | 2.59808i | 0.0995585 | − | 0.172440i | −0.811943 | − | 0.583736i | \(-0.801590\pi\) |
0.911502 | + | 0.411296i | \(0.134924\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 5.00000 | + | 8.66025i | 0.330409 | + | 0.572286i | 0.982592 | − | 0.185776i | \(-0.0594799\pi\) |
−0.652183 | + | 0.758062i | \(0.726147\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.50000 | + | 7.79423i | −0.0986928 | + | 0.512823i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 10.0000 | + | 17.3205i | 0.655122 | + | 1.13470i | 0.981863 | + | 0.189590i | \(0.0607160\pi\) |
−0.326741 | + | 0.945114i | \(0.605951\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 20.0000 | − | 34.6410i | 1.30466 | − | 2.25973i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −33.0000 | −2.14358 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 2.00000 | 0.129369 | 0.0646846 | − | 0.997906i | \(-0.479396\pi\) | ||||
0.0646846 | + | 0.997906i | \(0.479396\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 22.0000 | − | 17.3205i | 1.40553 | − | 1.10657i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.00000 | + | 5.19615i | 0.190885 | + | 0.330623i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 18.0000 | − | 31.1769i | 1.14070 | − | 1.97576i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 8.00000 | 0.504956 | 0.252478 | − | 0.967603i | \(-0.418755\pi\) | ||||
0.252478 | + | 0.967603i | \(0.418755\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.00000 | 0.251478 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −6.00000 | + | 10.3923i | −0.375735 | + | 0.650791i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −5.50000 | − | 9.52628i | −0.343081 | − | 0.594233i | 0.641923 | − | 0.766769i | \(-0.278137\pi\) |
−0.985003 | + | 0.172536i | \(0.944804\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 4.00000 | − | 20.7846i | 0.248548 | − | 1.29149i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −6.00000 | + | 10.3923i | −0.369976 | + | 0.640817i | −0.989561 | − | 0.144112i | \(-0.953967\pi\) |
0.619586 | + | 0.784929i | \(0.287301\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 12.0000 | 0.737154 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −27.0000 | −1.65237 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 1.00000 | − | 1.73205i | 0.0609711 | − | 0.105605i | −0.833929 | − | 0.551872i | \(-0.813914\pi\) |
0.894900 | + | 0.446267i | \(0.147247\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.00000 | − | 6.92820i | −0.242983 | − | 0.420858i | 0.718580 | − | 0.695444i | \(-0.244792\pi\) |
−0.961563 | + | 0.274586i | \(0.911459\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 22.5000 | − | 7.79423i | 1.36176 | − | 0.471728i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −5.50000 | − | 9.52628i | −0.331662 | − | 0.574456i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.00000 | + | 6.92820i | −0.240337 | + | 0.416275i | −0.960810 | − | 0.277207i | \(-0.910591\pi\) |
0.720473 | + | 0.693482i | \(0.243925\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 48.0000 | 2.87368 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.00000 | −0.178965 | −0.0894825 | − | 0.995988i | \(-0.528521\pi\) | ||||
−0.0894825 | + | 0.995988i | \(0.528521\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.50000 | + | 16.4545i | −0.564716 | + | 0.978117i | 0.432360 | + | 0.901701i | \(0.357681\pi\) |
−0.997076 | + | 0.0764162i | \(0.975652\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −12.0000 | − | 20.7846i | −0.710819 | − | 1.23117i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.500000 | − | 0.866025i | −0.0294118 | − | 0.0509427i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 15.0000 | − | 25.9808i | 0.879316 | − | 1.52302i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 1.00000 | 0.0584206 | 0.0292103 | − | 0.999573i | \(-0.490701\pi\) | ||||
0.0292103 | + | 0.999573i | \(0.490701\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −56.0000 | −3.26045 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 4.50000 | − | 7.79423i | 0.261116 | − | 0.452267i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −6.00000 | − | 10.3923i | −0.346989 | − | 0.601003i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 20.0000 | + | 17.3205i | 1.15278 | + | 0.998337i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 15.0000 | + | 25.9808i | 0.861727 | + | 1.49256i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 16.0000 | − | 27.7128i | 0.916157 | − | 1.58683i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.00000 | 0.228292 | 0.114146 | − | 0.993464i | \(-0.463587\pi\) | ||||
0.114146 | + | 0.993464i | \(0.463587\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 12.0000 | 0.682656 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.50000 | − | 7.79423i | 0.255172 | − | 0.441970i | −0.709771 | − | 0.704433i | \(-0.751201\pi\) |
0.964942 | + | 0.262463i | \(0.0845347\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 9.00000 | + | 15.5885i | 0.508710 | + | 0.881112i | 0.999949 | + | 0.0100869i | \(0.00321082\pi\) |
−0.491239 | + | 0.871025i | \(0.663456\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −60.0000 | + | 20.7846i | −3.38062 | + | 1.17108i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −3.00000 | − | 5.19615i | −0.168497 | − | 0.291845i | 0.769395 | − | 0.638774i | \(-0.220558\pi\) |
−0.937892 | + | 0.346929i | \(0.887225\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 9.00000 | 0.502331 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2.00000 | 0.111283 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −16.5000 | + | 28.5788i | −0.915255 | + | 1.58527i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 12.0000 | + | 20.7846i | 0.663602 | + | 1.14939i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −5.00000 | + | 25.9808i | −0.275659 | + | 1.43237i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.00000 | − | 8.66025i | −0.274825 | − | 0.476011i | 0.695266 | − | 0.718752i | \(-0.255287\pi\) |
−0.970091 | + | 0.242742i | \(0.921953\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −24.0000 | + | 41.5692i | −1.31519 | + | 2.27798i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −40.0000 | −2.18543 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.00000 | −0.435788 | −0.217894 | − | 0.975972i | \(-0.569919\pi\) | ||||
−0.217894 | + | 0.975972i | \(0.569919\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −12.0000 | + | 20.7846i | −0.651751 | + | 1.12887i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −4.00000 | − | 6.92820i | −0.216612 | − | 0.375183i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.0000 | + | 15.5885i | −0.539949 | + | 0.841698i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 24.0000 | + | 41.5692i | 1.29212 | + | 2.23801i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 2.00000 | − | 3.46410i | 0.107366 | − | 0.185963i | −0.807337 | − | 0.590091i | \(-0.799092\pi\) |
0.914702 | + | 0.404128i | \(0.132425\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 30.0000 | 1.60586 | 0.802932 | − | 0.596071i | \(-0.203272\pi\) | ||||
0.802932 | + | 0.596071i | \(0.203272\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −27.0000 | −1.44115 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −5.50000 | + | 9.52628i | −0.292735 | + | 0.507033i | −0.974456 | − | 0.224580i | \(-0.927899\pi\) |
0.681720 | + | 0.731613i | \(0.261232\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 10.0000 | + | 17.3205i | 0.530745 | + | 0.919277i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.50000 | − | 7.79423i | 0.0793884 | − | 0.412514i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 5.00000 | + | 8.66025i | 0.263890 | + | 0.457071i | 0.967272 | − | 0.253741i | \(-0.0816611\pi\) |
−0.703382 | + | 0.710812i | \(0.748328\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.50000 | − | 12.9904i | 0.394737 | − | 0.683704i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 30.0000 | 1.57459 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −64.0000 | −3.34991 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.50000 | + | 2.59808i | −0.0782994 | + | 0.135618i | −0.902516 | − | 0.430656i | \(-0.858282\pi\) |
0.824217 | + | 0.566274i | \(0.191616\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −7.50000 | + | 2.59808i | −0.389381 | + | 0.134885i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.50000 | − | 6.06218i | −0.181223 | − | 0.313888i | 0.761074 | − | 0.648665i | \(-0.224672\pi\) |
−0.942297 | + | 0.334777i | \(0.891339\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 36.0000 | − | 62.3538i | 1.85903 | − | 3.21994i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 13.0000 | 0.667765 | 0.333883 | − | 0.942615i | \(-0.391641\pi\) | ||||
0.333883 | + | 0.942615i | \(0.391641\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −17.0000 | − | 29.4449i | −0.868659 | − | 1.50456i | −0.863367 | − | 0.504576i | \(-0.831649\pi\) |
−0.00529229 | − | 0.999986i | \(-0.501685\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 8.00000 | + | 6.92820i | 0.407718 | + | 0.353094i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −30.0000 | − | 51.9615i | −1.52499 | − | 2.64135i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 1.50000 | − | 2.59808i | 0.0760530 | − | 0.131728i | −0.825491 | − | 0.564416i | \(-0.809102\pi\) |
0.901544 | + | 0.432688i | \(0.142435\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.00000 | −0.202289 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 36.0000 | 1.81596 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −22.0000 | + | 38.1051i | −1.10694 | + | 1.91728i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.00000 | − | 1.73205i | −0.0501886 | − | 0.0869291i | 0.839840 | − | 0.542834i | \(-0.182649\pi\) |
−0.890028 | + | 0.455905i | \(0.849316\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 12.0000 | + | 10.3923i | 0.600751 | + | 0.520266i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 13.0000 | + | 22.5167i | 0.649189 | + | 1.12443i | 0.983317 | + | 0.181901i | \(0.0582249\pi\) |
−0.334128 | + | 0.942528i | \(0.608442\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −12.0000 | + | 20.7846i | −0.597763 | + | 1.03536i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 36.0000 | 1.78885 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.00000 | 0.396545 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.50000 | + | 9.52628i | −0.271957 | + | 0.471044i | −0.969363 | − | 0.245633i | \(-0.921004\pi\) |
0.697406 | + | 0.716677i | \(0.254338\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 25.5000 | + | 44.1673i | 1.25782 | + | 2.17861i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 35.0000 | − | 12.1244i | 1.72224 | − | 0.596601i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −24.0000 | − | 41.5692i | −1.17811 | − | 2.04055i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −31.5000 | + | 54.5596i | −1.54256 | + | 2.67180i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 9.00000 | 0.439679 | 0.219839 | − | 0.975536i | \(-0.429447\pi\) | ||||
0.219839 | + | 0.975536i | \(0.429447\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.00000 | 0.292422 | 0.146211 | − | 0.989253i | \(-0.453292\pi\) | ||||
0.146211 | + | 0.989253i | \(0.453292\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 30.0000 | − | 51.9615i | 1.45865 | − | 2.52646i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 5.50000 | + | 9.52628i | 0.266789 | + | 0.462092i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.00000 | + | 20.7846i | −0.193574 | + | 1.00584i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 4.50000 | + | 7.79423i | 0.217262 | + | 0.376309i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 9.50000 | − | 16.4545i | 0.457599 | − | 0.792585i | −0.541235 | − | 0.840872i | \(-0.682043\pi\) |
0.998833 | + | 0.0482871i | \(0.0153762\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 6.00000 | 0.288342 | 0.144171 | − | 0.989553i | \(-0.453949\pi\) | ||||
0.144171 | + | 0.989553i | \(0.453949\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 4.00000 | − | 6.92820i | 0.191346 | − | 0.331421i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 14.5000 | + | 25.1147i | 0.692047 | + | 1.19866i | 0.971166 | + | 0.238404i | \(0.0766244\pi\) |
−0.279119 | + | 0.960257i | \(0.590042\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 33.0000 | − | 25.9808i | 1.57143 | − | 1.23718i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 3.00000 | + | 5.19615i | 0.142534 | + | 0.246877i | 0.928450 | − | 0.371457i | \(-0.121142\pi\) |
−0.785916 | + | 0.618333i | \(0.787808\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −18.0000 | + | 31.1769i | −0.853282 | + | 1.47793i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 33.0000 | 1.56085 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −18.0000 | −0.849473 | −0.424736 | − | 0.905317i | \(-0.639633\pi\) | ||||
−0.424736 | + | 0.905317i | \(0.639633\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 3.00000 | + | 5.19615i | 0.140952 | + | 0.244137i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 6.00000 | − | 31.1769i | 0.281284 | − | 1.46160i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.00000 | + | 8.66025i | 0.233890 | + | 0.405110i | 0.958950 | − | 0.283577i | \(-0.0915211\pi\) |
−0.725059 | + | 0.688686i | \(0.758188\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −4.50000 | + | 7.79423i | −0.210042 | + | 0.363803i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −17.0000 | −0.791769 | −0.395884 | − | 0.918300i | \(-0.629562\pi\) | ||||
−0.395884 | + | 0.918300i | \(0.629562\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 8.00000 | 0.371792 | 0.185896 | − | 0.982569i | \(-0.440481\pi\) | ||||
0.185896 | + | 0.982569i | \(0.440481\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 48.0000 | − | 83.1384i | 2.22595 | − | 3.85545i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 18.0000 | + | 31.1769i | 0.832941 | + | 1.44270i | 0.895696 | + | 0.444667i | \(0.146678\pi\) |
−0.0627555 | + | 0.998029i | \(0.519989\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 25.0000 | − | 8.66025i | 1.15439 | − | 0.399893i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 25.5000 | + | 44.1673i | 1.17498 | + | 2.03512i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −5.00000 | + | 8.66025i | −0.229900 | + | 0.398199i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −22.0000 | −1.00943 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 18.0000 | 0.824163 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −12.0000 | + | 20.7846i | −0.548294 | + | 0.949673i | 0.450098 | + | 0.892979i | \(0.351389\pi\) |
−0.998392 | + | 0.0566937i | \(0.981944\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −12.0000 | − | 20.7846i | −0.547153 | − | 0.947697i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −24.0000 | − | 20.7846i | −1.09204 | − | 0.945732i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −20.0000 | − | 34.6410i | −0.908153 | − | 1.57297i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.5000 | + | 19.9186i | −0.521115 | + | 0.902597i | 0.478584 | + | 0.878042i | \(0.341150\pi\) |
−0.999698 | + | 0.0245553i | \(0.992183\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −36.0000 | −1.62798 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −26.0000 | −1.17336 | −0.586682 | − | 0.809818i | \(-0.699566\pi\) | ||||
−0.586682 | + | 0.809818i | \(0.699566\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −12.0000 | − | 20.7846i | −0.539360 | − | 0.934199i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −10.0000 | − | 8.66025i | −0.448561 | − | 0.388465i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.50000 | + | 4.33013i | 0.111915 | + | 0.193843i | 0.916542 | − | 0.399937i | \(-0.130968\pi\) |
−0.804627 | + | 0.593780i | \(0.797635\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 25.5000 | − | 44.1673i | 1.13926 | − | 1.97325i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 33.0000 | 1.47140 | 0.735699 | − | 0.677309i | \(-0.236854\pi\) | ||||
0.735699 | + | 0.677309i | \(0.236854\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 40.0000 | 1.77998 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −6.00000 | + | 10.3923i | −0.266469 | + | 0.461538i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −19.0000 | − | 32.9090i | −0.842160 | − | 1.45866i | −0.888065 | − | 0.459718i | \(-0.847950\pi\) |
0.0459045 | − | 0.998946i | \(-0.485383\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 40.0000 | − | 13.8564i | 1.76950 | − | 0.612971i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −9.00000 | − | 15.5885i | −0.397360 | − | 0.688247i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 8.00000 | − | 13.8564i | 0.352522 | − | 0.610586i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −10.0000 | −0.439799 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −18.0000 | −0.790112 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.0000 | − | 19.0526i | −0.480996 | − | 0.833110i | 0.518766 | − | 0.854916i | \(-0.326392\pi\) |
−0.999762 | + | 0.0218062i | \(0.993058\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −16.5000 | + | 85.7365i | −0.720119 | + | 3.74185i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 4.00000 | + | 6.92820i | 0.174243 | + | 0.301797i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.50000 | − | 6.06218i | 0.152174 | − | 0.263573i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −84.0000 | −3.64529 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.00000 | − | 10.3923i | 0.259403 | − | 0.449299i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 24.0000 | + | 41.5692i | 1.03568 | + | 1.79384i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −6.50000 | − | 2.59808i | −0.279975 | − | 0.111907i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −11.0000 | − | 19.0526i | −0.472927 | − | 0.819133i | 0.526593 | − | 0.850118i | \(-0.323469\pi\) |
−0.999520 | + | 0.0309841i | \(0.990136\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −9.00000 | + | 15.5885i | −0.386227 | + | 0.668965i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 32.0000 | 1.37073 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −1.00000 | −0.0427569 | −0.0213785 | − | 0.999771i | \(-0.506805\pi\) | ||||
−0.0213785 | + | 0.999771i | \(0.506805\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 24.0000 | − | 41.5692i | 1.02430 | − | 1.77413i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 5.50000 | − | 28.5788i | 0.233884 | − | 1.21530i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 48.0000 | + | 83.1384i | 2.03749 | + | 3.52903i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −7.50000 | + | 12.9904i | −0.317785 | + | 0.550420i | −0.980026 | − | 0.198871i | \(-0.936272\pi\) |
0.662240 | + | 0.749291i | \(0.269606\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 30.0000 | 1.26886 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.00000 | 0.126660 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 1.00000 | − | 1.73205i | 0.0421450 | − | 0.0729972i | −0.844183 | − | 0.536054i | \(-0.819914\pi\) |
0.886328 | + | 0.463057i | \(0.153248\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 16.0000 | + | 27.7128i | 0.673125 | + | 1.16589i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −22.5000 | + | 7.79423i | −0.944911 | + | 0.327327i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 7.50000 | + | 12.9904i | 0.314416 | + | 0.544585i | 0.979313 | − | 0.202350i | \(-0.0648579\pi\) |
−0.664897 | + | 0.746935i | \(0.731525\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.00000 | − | 3.46410i | 0.0836974 | − | 0.144968i | −0.821138 | − | 0.570730i | \(-0.806660\pi\) |
0.904835 | + | 0.425762i | \(0.139994\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −36.0000 | −1.50392 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 44.0000 | 1.83493 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 21.5000 | − | 37.2391i | 0.895057 | − | 1.55028i | 0.0613223 | − | 0.998118i | \(-0.480468\pi\) |
0.833734 | − | 0.552166i | \(-0.186198\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 21.0000 | + | 36.3731i | 0.872730 | + | 1.51161i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 24.0000 | + | 20.7846i | 0.995688 | + | 0.862291i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.50000 | − | 2.59808i | −0.0621237 | − | 0.107601i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −36.0000 | + | 62.3538i | −1.48842 | + | 2.57801i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −10.0000 | −0.412744 | −0.206372 | − | 0.978474i | \(-0.566166\pi\) | ||||
−0.206372 | + | 0.978474i | \(0.566166\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −16.0000 | −0.659269 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −21.0000 | + | 36.3731i | −0.863825 | + | 1.49619i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −10.5000 | − | 18.1865i | −0.431183 | − | 0.746831i | 0.565792 | − | 0.824548i | \(-0.308570\pi\) |
−0.996976 | + | 0.0777165i | \(0.975237\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −8.00000 | − | 6.92820i | −0.327968 | − | 0.284029i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −4.50000 | − | 7.79423i | −0.184173 | − | 0.318997i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −15.0000 | + | 25.9808i | −0.612883 | + | 1.06155i | 0.377869 | + | 0.925859i | \(0.376657\pi\) |
−0.990752 | + | 0.135686i | \(0.956676\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −46.0000 | −1.87638 | −0.938190 | − | 0.346122i | \(-0.887498\pi\) | ||||
−0.938190 | + | 0.346122i | \(0.887498\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −60.0000 | −2.44339 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 20.0000 | − | 34.6410i | 0.813116 | − | 1.40836i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −14.5000 | − | 25.1147i | −0.588537 | − | 1.01938i | −0.994424 | − | 0.105453i | \(-0.966371\pi\) |
0.405887 | − | 0.913923i | \(-0.366962\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 15.0000 | + | 25.9808i | 0.606835 | + | 1.05107i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −8.50000 | + | 14.7224i | −0.343312 | + | 0.594633i | −0.985046 | − | 0.172294i | \(-0.944882\pi\) |
0.641734 | + | 0.766927i | \(0.278215\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −44.0000 | −1.77137 | −0.885687 | − | 0.464283i | \(-0.846312\pi\) | ||||
−0.885687 | + | 0.464283i | \(0.846312\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 14.5000 | − | 25.1147i | 0.582804 | − | 1.00945i | −0.412341 | − | 0.911030i | \(-0.635289\pi\) |
0.995145 | − | 0.0984169i | \(-0.0313779\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 18.0000 | + | 31.1769i | 0.722315 | + | 1.25109i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 4.50000 | − | 23.3827i | 0.180289 | − | 0.936808i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −20.5000 | − | 35.5070i | −0.820000 | − | 1.42028i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −3.00000 | + | 5.19615i | −0.119808 | + | 0.207514i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −8.00000 | −0.318981 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −46.0000 | −1.83123 | −0.915616 | − | 0.402055i | \(-0.868296\pi\) | ||||
−0.915616 | + | 0.402055i | \(0.868296\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 30.0000 | − | 51.9615i | 1.19239 | − | 2.06529i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.00000 | + | 20.7846i | 0.118864 | + | 0.823516i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 15.0000 | + | 25.9808i | 0.593391 | + | 1.02778i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 13.0000 | − | 22.5167i | 0.513469 | − | 0.889355i | −0.486409 | − | 0.873731i | \(-0.661693\pi\) |
0.999878 | − | 0.0156233i | \(-0.00497325\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 27.0000 | 1.06478 | 0.532388 | − | 0.846500i | \(-0.321295\pi\) | ||||
0.532388 | + | 0.846500i | \(0.321295\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −120.000 | −4.72500 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −14.0000 | + | 24.2487i | −0.550397 | + | 0.953315i | 0.447849 | + | 0.894109i | \(0.352190\pi\) |
−0.998246 | + | 0.0592060i | \(0.981143\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 7.00000 | + | 12.1244i | 0.274774 | + | 0.475923i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −12.0000 | + | 62.3538i | −0.470317 | + | 2.44384i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −23.0000 | − | 39.8372i | −0.900060 | − | 1.55895i | −0.827415 | − | 0.561591i | \(-0.810189\pi\) |
−0.0726446 | − | 0.997358i | \(-0.523144\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 24.0000 | − | 41.5692i | 0.937758 | − | 1.62424i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −96.0000 | −3.74532 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 2.00000 | 0.0779089 | 0.0389545 | − | 0.999241i | \(-0.487597\pi\) | ||||
0.0389545 | + | 0.999241i | \(0.487597\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 15.0000 | − | 25.9808i | 0.583432 | − | 1.01053i | −0.411636 | − | 0.911348i | \(-0.635043\pi\) |
0.995069 | − | 0.0991864i | \(-0.0316240\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −4.50000 | − | 7.79423i | −0.174766 | − | 0.302703i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 20.0000 | − | 6.92820i | 0.775567 | − | 0.268664i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −9.00000 | + | 15.5885i | −0.347960 | + | 0.602685i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −8.00000 | −0.308837 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −44.0000 | −1.69608 | −0.848038 | − | 0.529936i | \(-0.822216\pi\) | ||||
−0.848038 | + | 0.529936i | \(0.822216\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 49.5000 | − | 85.7365i | 1.90526 | − | 3.30000i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 24.0000 | + | 41.5692i | 0.922395 | + | 1.59763i | 0.795698 | + | 0.605693i | \(0.207104\pi\) |
0.126697 | + | 0.991941i | \(0.459562\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 20.0000 | + | 17.3205i | 0.767530 | + | 0.664700i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −4.50000 | − | 7.79423i | −0.172440 | − | 0.298675i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 4.50000 | − | 7.79423i | 0.172188 | − | 0.298238i | −0.766997 | − | 0.641651i | \(-0.778250\pi\) |
0.939184 | + | 0.343413i | \(0.111583\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 68.0000 | 2.59815 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 30.0000 | 1.14457 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −4.50000 | + | 7.79423i | −0.171436 | + | 0.296936i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −8.00000 | − | 13.8564i | −0.304334 | − | 0.527123i | 0.672779 | − | 0.739844i | \(-0.265101\pi\) |
−0.977113 | + | 0.212721i | \(0.931767\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 12.0000 | + | 10.3923i | 0.455842 | + | 0.394771i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 42.0000 | + | 72.7461i | 1.59315 | + | 2.75942i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 60.0000 | 2.26941 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 39.0000 | 1.47301 | 0.736505 | − | 0.676432i | \(-0.236475\pi\) | ||||
0.736505 | + | 0.676432i | \(0.236475\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 8.00000 | − | 13.8564i | 0.301726 | − | 0.522604i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −60.0000 | − | 103.923i | −2.25973 | − | 3.91397i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −25.0000 | + | 8.66025i | −0.940222 | + | 0.325702i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.00000 | + | 1.73205i | 0.0375558 | + | 0.0650485i | 0.884192 | − | 0.467123i | \(-0.154709\pi\) |
−0.846637 | + | 0.532172i | \(0.821376\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −33.0000 | + | 57.1577i | −1.23760 | + | 2.14358i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 32.0000 | 1.19841 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 12.0000 | 0.448775 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 3.00000 | − | 5.19615i | 0.112037 | − | 0.194054i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 7.50000 | + | 12.9904i | 0.279703 | + | 0.484459i | 0.971311 | − | 0.237814i | \(-0.0764307\pi\) |
−0.691608 | + | 0.722273i | \(0.743097\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.00000 | + | 10.3923i | −0.0744839 | + | 0.387030i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −14.0000 | −0.519231 | −0.259616 | − | 0.965712i | \(-0.583596\pi\) | ||||
−0.259616 | + | 0.965712i | \(0.583596\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −27.0000 | −1.00000 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 5.00000 | − | 8.66025i | 0.184932 | − | 0.320311i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.50000 | + | 11.2583i | 0.240083 | + | 0.415836i | 0.960738 | − | 0.277458i | \(-0.0894920\pi\) |
−0.720655 | + | 0.693294i | \(0.756159\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −12.0000 | − | 83.1384i | −0.442627 | − | 3.06661i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 5.00000 | + | 8.66025i | 0.184177 | + | 0.319005i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 17.0000 | − | 29.4449i | 0.625355 | − | 1.08315i | −0.363117 | − | 0.931744i | \(-0.618287\pi\) |
0.988472 | − | 0.151403i | \(-0.0483792\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 18.0000 | 0.661247 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −27.0000 | −0.990534 | −0.495267 | − | 0.868741i | \(-0.664930\pi\) | ||||
−0.495267 | + | 0.868741i | \(0.664930\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 22.0000 | − | 38.1051i | 0.806018 | − | 1.39606i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −36.0000 | − | 62.3538i | −1.31717 | − | 2.28141i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1.50000 | + | 7.79423i | −0.0548088 | + | 0.284795i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11.5000 | − | 19.9186i | −0.419641 | − | 0.726839i | 0.576262 | − | 0.817265i | \(-0.304511\pi\) |
−0.995903 | + | 0.0904254i | \(0.971177\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 12.0000 | − | 20.7846i | 0.437304 | − | 0.757433i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8.00000 | 0.291150 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 17.0000 | 0.617876 | 0.308938 | − | 0.951082i | \(-0.400027\pi\) | ||||
0.308938 | + | 0.951082i | \(0.400027\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 6.00000 | − | 10.3923i | 0.217786 | − | 0.377217i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 13.5000 | + | 23.3827i | 0.489375 | + | 0.847622i | 0.999925 | − | 0.0122260i | \(-0.00389175\pi\) |
−0.510551 | + | 0.859848i | \(0.670558\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −20.0000 | + | 6.92820i | −0.724049 | + | 0.250818i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 12.0000 | + | 20.7846i | 0.433861 | + | 0.751469i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 21.0000 | − | 36.3731i | 0.758266 | − | 1.31336i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 25.0000 | 0.901523 | 0.450762 | − | 0.892644i | \(-0.351152\pi\) | ||||
0.450762 | + | 0.892644i | \(0.351152\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −33.0000 | −1.18847 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −16.5000 | + | 28.5788i | −0.593464 | + | 1.02791i | 0.400298 | + | 0.916385i | \(0.368907\pi\) |
−0.993762 | + | 0.111524i | \(0.964427\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −44.0000 | − | 76.2102i | −1.58053 | − | 2.73755i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −48.0000 | − | 41.5692i | −1.72199 | − | 1.49129i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.50000 | − | 4.33013i | 0.0894570 | − | 0.154944i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 68.0000 | 2.42702 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.00000 | − | 3.46410i | 0.0712923 | − | 0.123482i | −0.828176 | − | 0.560469i | \(-0.810621\pi\) |
0.899468 | + | 0.436987i | \(0.143954\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 18.0000 | + | 31.1769i | 0.640817 | + | 1.10993i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −16.0000 | − | 13.8564i | −0.568895 | − | 0.492677i | ||||
\(792\) | 0 | 0 |