Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [832,2,Mod(321,832)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(832, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("832.321");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 832 = 2^{6} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 832.i (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.64355344817\) |
Analytic rank: | \(1\) |
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: | \(\Z[a_1, \ldots, a_{9}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 416) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 321.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 832.321 |
Dual form | 832.2.i.b.705.1 |
$q$-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 \(\left(\mathbb{Z}/832\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(703\) | \(769\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 | ||||||||
\(3\) | −1.00000 | + | 1.73205i | −0.577350 | + | 1.00000i | 0.418432 | + | 0.908248i | \(0.362580\pi\) |
−0.995782 | + | 0.0917517i | \(0.970753\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.00000 | −0.447214 | −0.223607 | − | 0.974679i | \(-0.571783\pi\) | ||||
−0.223607 | + | 0.974679i | \(0.571783\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.00000 | + | 3.46410i | −0.603023 | + | 1.04447i | 0.389338 | + | 0.921095i | \(0.372704\pi\) |
−0.992361 | + | 0.123371i | \(0.960630\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.50000 | − | 2.59808i | −0.693375 | − | 0.720577i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.00000 | − | 1.73205i | 0.258199 | − | 0.447214i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.50000 | − | 2.59808i | −0.363803 | − | 0.630126i | 0.624780 | − | 0.780801i | \(-0.285189\pi\) |
−0.988583 | + | 0.150675i | \(0.951855\pi\) | |||||||
\(18\) | 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 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.00000 | − | 1.73205i | 0.208514 | − | 0.361158i | −0.742732 | − | 0.669588i | \(-0.766471\pi\) |
0.951247 | + | 0.308431i | \(0.0998038\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.00000 | −0.800000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.00000 | −0.769800 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.50000 | − | 4.33013i | 0.464238 | − | 0.804084i | −0.534928 | − | 0.844897i | \(-0.679661\pi\) |
0.999167 | + | 0.0408130i | \(0.0129948\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.00000 | −0.359211 | −0.179605 | − | 0.983739i | \(-0.557482\pi\) | ||||
−0.179605 | + | 0.983739i | \(0.557482\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −4.00000 | − | 6.92820i | −0.696311 | − | 1.20605i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.50000 | − | 4.33013i | 0.410997 | − | 0.711868i | −0.584002 | − | 0.811752i | \(-0.698514\pi\) |
0.994999 | + | 0.0998840i | \(0.0318472\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 7.00000 | − | 1.73205i | 1.12090 | − | 0.277350i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.50000 | + | 2.59808i | −0.234261 | + | 0.405751i | −0.959058 | − | 0.283211i | \(-0.908600\pi\) |
0.724797 | + | 0.688963i | \(0.241934\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.00000 | + | 3.46410i | 0.304997 | + | 0.528271i | 0.977261 | − | 0.212041i | \(-0.0680112\pi\) |
−0.672264 | + | 0.740312i | \(0.734678\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.500000 | + | 0.866025i | 0.0745356 | + | 0.129099i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −6.00000 | −0.875190 | −0.437595 | − | 0.899172i | \(-0.644170\pi\) | ||||
−0.437595 | + | 0.899172i | \(0.644170\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.50000 | − | 6.06218i | 0.500000 | − | 0.866025i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 6.00000 | 0.840168 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −13.0000 | −1.78569 | −0.892844 | − | 0.450367i | \(-0.851293\pi\) | ||||
−0.892844 | + | 0.450367i | \(0.851293\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.00000 | − | 3.46410i | 0.269680 | − | 0.467099i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.00000 | −0.529813 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −6.00000 | − | 10.3923i | −0.781133 | − | 1.35296i | −0.931282 | − | 0.364299i | \(-0.881308\pi\) |
0.150148 | − | 0.988663i | \(-0.452025\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.50000 | − | 6.06218i | −0.448129 | − | 0.776182i | 0.550135 | − | 0.835076i | \(-0.314576\pi\) |
−0.998264 | + | 0.0588933i | \(0.981243\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.50000 | + | 2.59808i | 0.310087 | + | 0.322252i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.00000 | − | 12.1244i | 0.855186 | − | 1.48123i | −0.0212861 | − | 0.999773i | \(-0.506776\pi\) |
0.876472 | − | 0.481452i | \(-0.159891\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.00000 | + | 3.46410i | 0.240772 | + | 0.417029i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.00000 | + | 5.19615i | 0.356034 | + | 0.616670i | 0.987294 | − | 0.158901i | \(-0.0507952\pi\) |
−0.631260 | + | 0.775571i | \(0.717462\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.00000 | 0.819288 | 0.409644 | − | 0.912245i | \(-0.365653\pi\) | ||||
0.409644 | + | 0.912245i | \(0.365653\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 4.00000 | − | 6.92820i | 0.461880 | − | 0.800000i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.00000 | −0.900070 | −0.450035 | − | 0.893011i | \(-0.648589\pi\) | ||||
−0.450035 | + | 0.893011i | \(0.648589\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.50000 | − | 9.52628i | 0.611111 | − | 1.05848i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.00000 | 0.439057 | 0.219529 | − | 0.975606i | \(-0.429548\pi\) | ||||
0.219529 | + | 0.975606i | \(0.429548\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.50000 | + | 2.59808i | 0.162698 | + | 0.281801i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 5.00000 | + | 8.66025i | 0.536056 | + | 0.928477i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −7.00000 | + | 12.1244i | −0.741999 | + | 1.28518i | 0.209585 | + | 0.977790i | \(0.432789\pi\) |
−0.951584 | + | 0.307389i | \(0.900545\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 2.00000 | − | 3.46410i | 0.207390 | − | 0.359211i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.00000 | − | 1.73205i | −0.102598 | − | 0.177705i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.00000 | + | 1.73205i | 0.101535 | + | 0.175863i | 0.912317 | − | 0.409484i | \(-0.134291\pi\) |
−0.810782 | + | 0.585348i | \(0.800958\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 4.00000 | 0.402015 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −5.50000 | + | 9.52628i | −0.547270 | + | 0.947900i | 0.451190 | + | 0.892428i | \(0.351000\pi\) |
−0.998460 | + | 0.0554722i | \(0.982334\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −14.0000 | −1.37946 | −0.689730 | − | 0.724066i | \(-0.742271\pi\) | ||||
−0.689730 | + | 0.724066i | \(0.742271\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.00000 | + | 5.19615i | −0.290021 | + | 0.502331i | −0.973814 | − | 0.227345i | \(-0.926996\pi\) |
0.683793 | + | 0.729676i | \(0.260329\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 10.0000 | 0.957826 | 0.478913 | − | 0.877862i | \(-0.341031\pi\) | ||||
0.478913 | + | 0.877862i | \(0.341031\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.00000 | + | 8.66025i | 0.474579 | + | 0.821995i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.50000 | + | 7.79423i | 0.423324 | + | 0.733219i | 0.996262 | − | 0.0863794i | \(-0.0275297\pi\) |
−0.572938 | + | 0.819599i | \(0.694196\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.00000 | + | 1.73205i | −0.0932505 | + | 0.161515i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.00000 | + | 3.46410i | −0.0924500 | + | 0.320256i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.50000 | − | 4.33013i | −0.227273 | − | 0.393648i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −3.00000 | − | 5.19615i | −0.270501 | − | 0.468521i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.00000 | 0.804984 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −11.0000 | + | 19.0526i | −0.976092 | + | 1.69064i | −0.299809 | + | 0.953999i | \(0.596923\pi\) |
−0.676283 | + | 0.736642i | \(0.736410\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −8.00000 | −0.704361 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −18.0000 | −1.57267 | −0.786334 | − | 0.617802i | \(-0.788023\pi\) | ||||
−0.786334 | + | 0.617802i | \(0.788023\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 4.00000 | 0.344265 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 0.500000 | + | 0.866025i | 0.0427179 | + | 0.0739895i | 0.886594 | − | 0.462549i | \(-0.153065\pi\) |
−0.843876 | + | 0.536538i | \(0.819732\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.00000 | + | 13.8564i | 0.678551 | + | 1.17529i | 0.975417 | + | 0.220366i | \(0.0707252\pi\) |
−0.296866 | + | 0.954919i | \(0.595942\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.00000 | − | 10.3923i | 0.505291 | − | 0.875190i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 14.0000 | − | 3.46410i | 1.17074 | − | 0.289683i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.50000 | + | 4.33013i | −0.207614 | + | 0.359597i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 7.00000 | + | 12.1244i | 0.577350 | + | 1.00000i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 10.5000 | + | 18.1865i | 0.860194 | + | 1.48990i | 0.871742 | + | 0.489966i | \(0.162991\pi\) |
−0.0115483 | + | 0.999933i | \(0.503676\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −22.0000 | −1.79033 | −0.895167 | − | 0.445730i | \(-0.852944\pi\) | ||||
−0.895167 | + | 0.445730i | \(0.852944\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.50000 | + | 2.59808i | −0.121268 | + | 0.210042i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.00000 | 0.160644 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.00000 | −0.399043 | −0.199522 | − | 0.979893i | \(-0.563939\pi\) | ||||
−0.199522 | + | 0.979893i | \(0.563939\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 13.0000 | − | 22.5167i | 1.03097 | − | 1.78569i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.00000 | − | 13.8564i | −0.626608 | − | 1.08532i | −0.988227 | − | 0.152992i | \(-0.951109\pi\) |
0.361619 | − | 0.932326i | \(-0.382224\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 4.00000 | + | 6.92820i | 0.311400 | + | 0.539360i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.00000 | + | 3.46410i | −0.154765 | + | 0.268060i | −0.932973 | − | 0.359946i | \(-0.882795\pi\) |
0.778209 | + | 0.628006i | \(0.216129\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.500000 | + | 12.9904i | −0.0384615 | + | 0.999260i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.00000 | − | 1.73205i | 0.0764719 | − | 0.132453i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.00000 | − | 1.73205i | −0.0760286 | − | 0.131685i | 0.825505 | − | 0.564396i | \(-0.190891\pi\) |
−0.901533 | + | 0.432710i | \(0.857557\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 24.0000 | 1.80395 | ||||||||
\(178\) | 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 | ||||||||
\(181\) | −5.00000 | −0.371647 | −0.185824 | − | 0.982583i | \(-0.559495\pi\) | ||||
−0.185824 | + | 0.982583i | \(0.559495\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 14.0000 | 1.03491 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −2.50000 | + | 4.33013i | −0.183804 | + | 0.318357i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 12.0000 | 0.877527 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 3.00000 | + | 5.19615i | 0.217072 | + | 0.375980i | 0.953912 | − | 0.300088i | \(-0.0970159\pi\) |
−0.736839 | + | 0.676068i | \(0.763683\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.5000 | − | 18.1865i | 0.755807 | − | 1.30910i | −0.189166 | − | 0.981945i | \(-0.560578\pi\) |
0.944972 | − | 0.327150i | \(-0.106088\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −7.00000 | + | 1.73205i | −0.501280 | + | 0.124035i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −9.00000 | + | 15.5885i | −0.641223 | + | 1.11063i | 0.343937 | + | 0.938993i | \(0.388239\pi\) |
−0.985160 | + | 0.171639i | \(0.945094\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.00000 | − | 12.1244i | −0.496217 | − | 0.859473i | 0.503774 | − | 0.863836i | \(-0.331945\pi\) |
−0.999990 | + | 0.00436292i | \(0.998611\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 14.0000 | + | 24.2487i | 0.987484 | + | 1.71037i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.50000 | − | 2.59808i | 0.104765 | − | 0.181458i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −2.00000 | −0.139010 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −8.00000 | −0.553372 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.00000 | + | 15.5885i | −0.619586 | + | 1.07315i | 0.369976 | + | 0.929041i | \(0.379366\pi\) |
−0.989561 | + | 0.144112i | \(0.953967\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −12.0000 | −0.822226 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −2.00000 | − | 3.46410i | −0.136399 | − | 0.236250i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −7.00000 | + | 12.1244i | −0.473016 | + | 0.819288i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.00000 | + | 10.3923i | −0.201802 | + | 0.699062i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.00000 | − | 15.5885i | 0.602685 | − | 1.04388i | −0.389728 | − | 0.920930i | \(-0.627431\pi\) |
0.992413 | − | 0.122950i | \(-0.0392356\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.00000 | + | 3.46410i | 0.133333 | + | 0.230940i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −9.00000 | − | 15.5885i | −0.597351 | − | 1.03464i | −0.993210 | − | 0.116331i | \(-0.962887\pi\) |
0.395860 | − | 0.918311i | \(-0.370447\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 18.0000 | 1.18947 | 0.594737 | − | 0.803921i | \(-0.297256\pi\) | ||||
0.594737 | + | 0.803921i | \(0.297256\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 6.00000 | 0.393073 | 0.196537 | − | 0.980497i | \(-0.437031\pi\) | ||||
0.196537 | + | 0.980497i | \(0.437031\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.00000 | 0.391397 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 8.00000 | − | 13.8564i | 0.519656 | − | 0.900070i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 12.0000 | 0.776215 | 0.388108 | − | 0.921614i | \(-0.373129\pi\) | ||||
0.388108 | + | 0.921614i | \(0.373129\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.50000 | − | 6.06218i | −0.225455 | − | 0.390499i | 0.731001 | − | 0.682376i | \(-0.239053\pi\) |
−0.956456 | + | 0.291877i | \(0.905720\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 5.00000 | + | 8.66025i | 0.320750 | + | 0.555556i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −3.50000 | + | 6.06218i | −0.223607 | + | 0.387298i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.00000 | − | 6.92820i | 0.127257 | − | 0.440831i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −4.00000 | + | 6.92820i | −0.253490 | + | 0.439057i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 11.0000 | + | 19.0526i | 0.694314 | + | 1.20259i | 0.970411 | + | 0.241457i | \(0.0776254\pi\) |
−0.276098 | + | 0.961130i | \(0.589041\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.00000 | + | 6.92820i | 0.251478 | + | 0.435572i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −6.00000 | −0.375735 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −5.50000 | + | 9.52628i | −0.343081 | + | 0.594233i | −0.985003 | − | 0.172536i | \(-0.944804\pi\) |
0.641923 | + | 0.766769i | \(0.278137\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −5.00000 | −0.309492 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 12.0000 | − | 20.7846i | 0.739952 | − | 1.28163i | −0.212565 | − | 0.977147i | \(-0.568182\pi\) |
0.952517 | − | 0.304487i | \(-0.0984850\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 13.0000 | 0.798584 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −14.0000 | − | 24.2487i | −0.856786 | − | 1.48400i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 7.00000 | + | 12.1244i | 0.426798 | + | 0.739235i | 0.996586 | − | 0.0825561i | \(-0.0263084\pi\) |
−0.569789 | + | 0.821791i | \(0.692975\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.00000 | − | 10.3923i | 0.364474 | − | 0.631288i | −0.624218 | − | 0.781251i | \(-0.714582\pi\) |
0.988692 | + | 0.149963i | \(0.0479155\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 8.00000 | − | 13.8564i | 0.482418 | − | 0.835573i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.500000 | + | 0.866025i | 0.0300421 | + | 0.0520344i | 0.880656 | − | 0.473757i | \(-0.157103\pi\) |
−0.850613 | + | 0.525792i | \(0.823769\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.00000 | + | 1.73205i | 0.0598684 | + | 0.103695i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −21.0000 | −1.25275 | −0.626377 | − | 0.779520i | \(-0.715463\pi\) | ||||
−0.626377 | + | 0.779520i | \(0.715463\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 10.0000 | − | 17.3205i | 0.594438 | − | 1.02960i | −0.399188 | − | 0.916869i | \(-0.630708\pi\) |
0.993626 | − | 0.112728i | \(-0.0359589\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 4.00000 | 0.236940 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.00000 | − | 6.92820i | 0.235294 | − | 0.407541i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −4.00000 | −0.234484 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −9.50000 | − | 16.4545i | −0.554996 | − | 0.961281i | −0.997904 | − | 0.0647140i | \(-0.979386\pi\) |
0.442908 | − | 0.896567i | \(-0.353947\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 6.00000 | + | 10.3923i | 0.349334 | + | 0.605063i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 8.00000 | − | 13.8564i | 0.464207 | − | 0.804030i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −7.00000 | + | 1.73205i | −0.404820 | + | 0.100167i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −11.0000 | − | 19.0526i | −0.631933 | − | 1.09454i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 3.50000 | + | 6.06218i | 0.200409 | + | 0.347119i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 26.0000 | 1.48390 | 0.741949 | − | 0.670456i | \(-0.233902\pi\) | ||||
0.741949 | + | 0.670456i | \(0.233902\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 14.0000 | − | 24.2487i | 0.796432 | − | 1.37946i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −10.0000 | −0.567048 | −0.283524 | − | 0.958965i | \(-0.591504\pi\) | ||||
−0.283524 | + | 0.958965i | \(0.591504\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −34.0000 | −1.92179 | −0.960897 | − | 0.276907i | \(-0.910691\pi\) | ||||
−0.960897 | + | 0.276907i | \(0.910691\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 3.00000 | 0.168497 | 0.0842484 | − | 0.996445i | \(-0.473151\pi\) | ||||
0.0842484 | + | 0.996445i | \(0.473151\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 10.0000 | + | 17.3205i | 0.559893 | + | 0.969762i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −6.00000 | − | 10.3923i | −0.334887 | − | 0.580042i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.00000 | − | 5.19615i | 0.166924 | − | 0.289122i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 10.0000 | + | 10.3923i | 0.554700 | + | 0.576461i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −10.0000 | + | 17.3205i | −0.553001 | + | 0.957826i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.00000 | + | 6.92820i | 0.219860 | + | 0.380808i | 0.954765 | − | 0.297361i | \(-0.0961066\pi\) |
−0.734905 | + | 0.678170i | \(0.762773\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −5.00000 | −0.273998 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −7.00000 | + | 12.1244i | −0.382451 | + | 0.662424i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.00000 | −0.0544735 | −0.0272367 | − | 0.999629i | \(-0.508671\pi\) | ||||
−0.0272367 | + | 0.999629i | \(0.508671\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −18.0000 | −0.977626 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.00000 | − | 6.92820i | 0.216612 | − | 0.375183i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −2.00000 | − | 3.46410i | −0.107676 | − | 0.186501i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −5.00000 | − | 8.66025i | −0.268414 | − | 0.464907i | 0.700038 | − | 0.714105i | \(-0.253166\pi\) |
−0.968452 | + | 0.249198i | \(0.919833\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.00000 | + | 8.66025i | −0.267644 | + | 0.463573i | −0.968253 | − | 0.249973i | \(-0.919578\pi\) |
0.700609 | + | 0.713545i | \(0.252912\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 10.0000 | + | 10.3923i | 0.533761 | + | 0.554700i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −1.50000 | + | 2.59808i | −0.0798369 | + | 0.138282i | −0.903179 | − | 0.429263i | \(-0.858773\pi\) |
0.823343 | + | 0.567545i | \(0.192107\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.00000 | − | 5.19615i | −0.159223 | − | 0.275783i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −20.0000 | −1.05556 | −0.527780 | − | 0.849381i | \(-0.676975\pi\) | ||||
−0.527780 | + | 0.849381i | \(0.676975\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.50000 | − | 12.9904i | 0.394737 | − | 0.683704i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 10.0000 | 0.524864 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −7.00000 | −0.366397 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.0000 | + | 19.0526i | −0.574195 | + | 0.994535i | 0.421933 | + | 0.906627i | \(0.361352\pi\) |
−0.996129 | + | 0.0879086i | \(0.971982\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 3.00000 | 0.156174 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.50000 | − | 2.59808i | −0.0776671 | − | 0.134523i | 0.824576 | − | 0.565751i | \(-0.191414\pi\) |
−0.902243 | + | 0.431228i | \(0.858080\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −9.00000 | + | 15.5885i | −0.464758 | + | 0.804984i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −17.5000 | + | 4.33013i | −0.901296 | + | 0.223013i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.00000 | + | 1.73205i | −0.0513665 | + | 0.0889695i | −0.890565 | − | 0.454855i | \(-0.849691\pi\) |
0.839199 | + | 0.543825i | \(0.183024\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −22.0000 | − | 38.1051i | −1.12709 | − | 1.95218i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 2.00000 | + | 3.46410i | 0.102195 | + | 0.177007i | 0.912589 | − | 0.408879i | \(-0.134080\pi\) |
−0.810394 | + | 0.585886i | \(0.800747\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.00000 | − | 3.46410i | 0.101666 | − | 0.176090i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −33.0000 | −1.67317 | −0.836583 | − | 0.547840i | \(-0.815450\pi\) | ||||
−0.836583 | + | 0.547840i | \(0.815450\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.00000 | −0.303433 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 18.0000 | − | 31.1769i | 0.907980 | − | 1.57267i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 8.00000 | 0.402524 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −17.0000 | − | 29.4449i | −0.853206 | − | 1.47780i | −0.878300 | − | 0.478110i | \(-0.841322\pi\) |
0.0250943 | − | 0.999685i | \(-0.492011\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 16.5000 | − | 28.5788i | 0.823971 | − | 1.42716i | −0.0787327 | − | 0.996896i | \(-0.525087\pi\) |
0.902703 | − | 0.430263i | \(-0.141579\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.00000 | + | 5.19615i | 0.249068 | + | 0.258839i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −5.50000 | + | 9.52628i | −0.273297 | + | 0.473365i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 10.0000 | + | 17.3205i | 0.495682 | + | 0.858546i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.50000 | + | 7.79423i | 0.222511 | + | 0.385400i | 0.955570 | − | 0.294765i | \(-0.0952414\pi\) |
−0.733059 | + | 0.680165i | \(0.761908\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −2.00000 | −0.0986527 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.00000 | −0.196352 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −32.0000 | −1.56705 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −7.00000 | + | 12.1244i | −0.341972 | + | 0.592314i | −0.984799 | − | 0.173698i | \(-0.944428\pi\) |
0.642827 | + | 0.766012i | \(0.277762\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −9.00000 | −0.438633 | −0.219317 | − | 0.975654i | \(-0.570383\pi\) | ||||
−0.219317 | + | 0.975654i | \(0.570383\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 3.00000 | + | 5.19615i | 0.145865 | + | 0.252646i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 6.00000 | + | 10.3923i | 0.291043 | + | 0.504101i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −8.00000 | + | 27.7128i | −0.386244 | + | 1.33799i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −6.00000 | + | 10.3923i | −0.289010 | + | 0.500580i | −0.973574 | − | 0.228373i | \(-0.926659\pi\) |
0.684564 | + | 0.728953i | \(0.259993\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.500000 | + | 0.866025i | 0.0240285 | + | 0.0416185i | 0.877790 | − | 0.479046i | \(-0.159017\pi\) |
−0.853761 | + | 0.520665i | \(0.825684\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5.00000 | − | 8.66025i | −0.239732 | − | 0.415227i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 4.00000 | 0.191346 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.00000 | − | 6.92820i | 0.190910 | − | 0.330665i | −0.754642 | − | 0.656136i | \(-0.772190\pi\) |
0.945552 | + | 0.325471i | \(0.105523\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −7.00000 | −0.333333 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −4.00000 | −0.190046 | −0.0950229 | − | 0.995475i | \(-0.530292\pi\) | ||||
−0.0950229 | + | 0.995475i | \(0.530292\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.00000 | − | 12.1244i | 0.331832 | − | 0.574750i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −42.0000 | −1.98653 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.00000 | + | 8.66025i | 0.235965 | + | 0.408703i | 0.959553 | − | 0.281529i | \(-0.0908417\pi\) |
−0.723588 | + | 0.690232i | \(0.757508\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.00000 | − | 10.3923i | −0.282529 | − | 0.489355i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 22.0000 | − | 38.1051i | 1.03365 | − | 1.79033i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 12.5000 | − | 21.6506i | 0.584725 | − | 1.01277i | −0.410184 | − | 0.912003i | \(-0.634536\pi\) |
0.994910 | − | 0.100771i | \(-0.0321310\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 6.00000 | + | 10.3923i | 0.280056 | + | 0.485071i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 10.5000 | + | 18.1865i | 0.489034 | + | 0.847031i | 0.999920 | − | 0.0126168i | \(-0.00401615\pi\) |
−0.510887 | + | 0.859648i | \(0.670683\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 20.0000 | 0.929479 | 0.464739 | − | 0.885448i | \(-0.346148\pi\) | ||||
0.464739 | + | 0.885448i | \(0.346148\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −2.00000 | + | 3.46410i | −0.0927478 | + | 0.160644i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 24.0000 | 1.11059 | 0.555294 | − | 0.831654i | \(-0.312606\pi\) | ||||
0.555294 | + | 0.831654i | \(0.312606\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 5.00000 | − | 8.66025i | 0.230388 | − | 0.399043i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −16.0000 | −0.735681 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.00000 | − | 6.92820i | −0.183533 | − | 0.317888i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 6.50000 | + | 11.2583i | 0.297615 | + | 0.515484i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 3.00000 | − | 5.19615i | 0.137073 | − | 0.237418i | −0.789314 | − | 0.613990i | \(-0.789564\pi\) |
0.926388 | + | 0.376571i | \(0.122897\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −17.5000 | + | 4.33013i | −0.797931 | + | 0.197437i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.00000 | − | 1.73205i | −0.0454077 | − | 0.0786484i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 16.0000 | + | 27.7128i | 0.725029 | + | 1.25579i | 0.958962 | + | 0.283535i | \(0.0915071\pi\) |
−0.233933 | + | 0.972253i | \(0.575160\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 32.0000 | 1.44709 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 8.00000 | − | 13.8564i | 0.361035 | − | 0.625331i | −0.627096 | − | 0.778942i | \(-0.715757\pi\) |
0.988131 | + | 0.153611i | \(0.0490902\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −15.0000 | −0.675566 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −4.00000 | −0.179787 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −14.0000 | −0.626726 | −0.313363 | − | 0.949633i | \(-0.601456\pi\) | ||||
−0.313363 | + | 0.949633i | \(0.601456\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −4.00000 | − | 6.92820i | −0.178707 | − | 0.309529i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −14.0000 | − | 24.2487i | −0.624229 | − | 1.08120i | −0.988689 | − | 0.149978i | \(-0.952080\pi\) |
0.364460 | − | 0.931219i | \(-0.381254\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.50000 | − | 9.52628i | 0.244747 | − | 0.423914i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −22.0000 | − | 13.8564i | −0.977054 | − | 0.615385i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −1.50000 | + | 2.59808i | −0.0664863 | + | 0.115158i | −0.897352 | − | 0.441315i | \(-0.854512\pi\) |
0.830866 | + | 0.556473i | \(0.187846\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −4.00000 | − | 6.92820i | −0.176604 | − | 0.305888i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 14.0000 | 0.616914 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 12.0000 | − | 20.7846i | 0.527759 | − | 0.914106i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 4.00000 | 0.175581 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −25.0000 | −1.09527 | −0.547635 | − | 0.836717i | \(-0.684472\pi\) | ||||
−0.547635 | + | 0.836717i | \(0.684472\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8.00000 | + | 13.8564i | −0.349816 | + | 0.605898i | −0.986216 | − | 0.165460i | \(-0.947089\pi\) |
0.636401 | + | 0.771358i | \(0.280422\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 3.00000 | + | 5.19615i | 0.130682 | + | 0.226348i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.50000 | + | 16.4545i | 0.413043 | + | 0.715412i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −6.00000 | + | 10.3923i | −0.260378 | + | 0.450988i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 10.5000 | − | 2.59808i | 0.454805 | − | 0.112535i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.00000 | − | 5.19615i | 0.129701 | − | 0.224649i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −16.0000 | − | 27.7128i | −0.690451 | − | 1.19590i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 14.0000 | + | 24.2487i | 0.603023 | + | 1.04447i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 23.0000 | 0.988847 | 0.494424 | − | 0.869221i | \(-0.335379\pi\) | ||||
0.494424 | + | 0.869221i | \(0.335379\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 5.00000 | − | 8.66025i | 0.214571 | − | 0.371647i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −10.0000 | −0.428353 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 22.0000 | 0.940652 | 0.470326 | − | 0.882493i | \(-0.344136\pi\) | ||||
0.470326 | + | 0.882493i | \(0.344136\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −3.50000 | + | 6.06218i | −0.149376 | + | 0.258727i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 10.0000 | 0.426014 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −5.00000 | − | 8.66025i | −0.212238 | − | 0.367607i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −11.5000 | + | 19.9186i | −0.487271 | + | 0.843978i | −0.999893 | − | 0.0146368i | \(-0.995341\pi\) |
0.512622 | + | 0.858614i | \(0.328674\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.00000 | − | 13.8564i | 0.169182 | − | 0.586064i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −12.0000 | + | 20.7846i | −0.506640 | + | 0.877527i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −12.0000 | − | 20.7846i | −0.505740 | − | 0.875967i | −0.999978 | − | 0.00664037i | \(-0.997886\pi\) |
0.494238 | − | 0.869326i | \(-0.335447\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.50000 | − | 7.79423i | −0.189316 | − | 0.327906i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −3.00000 | + | 5.19615i | −0.125767 | + | 0.217834i | −0.922032 | − | 0.387113i | \(-0.873472\pi\) |
0.796266 | + | 0.604947i | \(0.206806\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −20.0000 | −0.836974 | −0.418487 | − | 0.908223i | \(-0.637439\pi\) | ||||
−0.418487 | + | 0.908223i | \(0.637439\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −12.0000 | −0.501307 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −4.00000 | + | 6.92820i | −0.166812 | + | 0.288926i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −29.0000 | −1.20729 | −0.603643 | − | 0.797255i | \(-0.706285\pi\) | ||||
−0.603643 | + | 0.797255i | \(0.706285\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 21.0000 | + | 36.3731i | 0.872730 | + | 1.51161i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 26.0000 | − | 45.0333i | 1.07681 | − | 1.86509i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 1.00000 | − | 3.46410i | 0.0413449 | − | 0.143223i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −8.00000 | + | 13.8564i | −0.330195 | + | 0.571915i | −0.982550 | − | 0.185999i | \(-0.940448\pi\) |
0.652355 | + | 0.757914i | \(0.273781\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.00000 | − | 3.46410i | −0.0824086 | − | 0.142736i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −18.0000 | − | 31.1769i | −0.740421 | − | 1.28245i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −1.00000 | −0.0410651 | −0.0205325 | − | 0.999789i | \(-0.506536\pi\) | ||||
−0.0205325 | + | 0.999789i | \(0.506536\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 28.0000 | 1.14596 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 30.0000 | 1.22577 | 0.612883 | − | 0.790173i | \(-0.290010\pi\) | ||||
0.612883 | + | 0.790173i | \(0.290010\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.50000 | − | 7.79423i | 0.183559 | − | 0.317933i | −0.759531 | − | 0.650471i | \(-0.774572\pi\) |
0.943090 | + | 0.332538i | \(0.107905\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −14.0000 | −0.570124 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 2.50000 | + | 4.33013i | 0.101639 | + | 0.176045i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −17.0000 | − | 29.4449i | −0.690009 | − | 1.19513i | −0.971834 | − | 0.235665i | \(-0.924273\pi\) |
0.281826 | − | 0.959466i | \(-0.409060\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 15.0000 | + | 15.5885i | 0.606835 | + | 0.630641i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0.500000 | − | 0.866025i | 0.0201948 | − | 0.0349784i | −0.855751 | − | 0.517387i | \(-0.826905\pi\) |
0.875946 | + | 0.482409i | \(0.160238\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 3.00000 | + | 5.19615i | 0.120972 | + | 0.209529i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 18.5000 | + | 32.0429i | 0.744782 | + | 1.29000i | 0.950297 | + | 0.311346i | \(0.100780\pi\) |
−0.205515 | + | 0.978654i | \(0.565887\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −36.0000 | −1.44696 | −0.723481 | − | 0.690344i | \(-0.757459\pi\) | ||||
−0.723481 | + | 0.690344i | \(0.757459\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −4.00000 | + | 6.92820i | −0.160514 | + | 0.278019i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.0000 | 0.440000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 8.00000 | − | 13.8564i | 0.319489 | − | 0.553372i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −15.0000 | −0.598089 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.0000 | + | 17.3205i | 0.398094 | + | 0.689519i | 0.993491 | − | 0.113913i | \(-0.0363385\pi\) |
−0.595397 | + | 0.803432i | \(0.703005\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −18.0000 | − | 31.1769i | −0.715436 | − | 1.23917i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 11.0000 | − | 19.0526i | 0.436522 | − | 0.756078i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −24.5000 | + | 6.06218i | −0.970725 | + | 0.240192i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 3.00000 | − | 5.19615i | 0.118678 | − | 0.205557i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 8.50000 | + | 14.7224i | 0.335730 | + | 0.581501i | 0.983625 | − | 0.180229i | \(-0.0576838\pi\) |
−0.647895 | + | 0.761730i | \(0.724350\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.00000 | + | 3.46410i | 0.0788723 | + | 0.136611i | 0.902764 | − | 0.430137i | \(-0.141535\pi\) |
−0.823891 | + | 0.566748i | \(0.808201\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 8.00000 | 0.315000 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 19.0000 | − | 32.9090i | 0.746967 | − | 1.29378i | −0.202303 | − | 0.979323i | \(-0.564843\pi\) |
0.949270 | − | 0.314462i | \(-0.101824\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 48.0000 | 1.88416 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 7.00000 | − | 12.1244i | 0.273931 | − | 0.474463i | −0.695934 | − | 0.718106i | \(-0.745009\pi\) |
0.969865 | + | 0.243643i | \(0.0783426\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 18.0000 | 0.703318 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −3.50000 | − | 6.06218i | −0.136548 | − | 0.236508i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −14.0000 | − | 24.2487i | −0.545363 | − | 0.944596i | −0.998584 | − | 0.0531977i | \(-0.983059\pi\) |
0.453221 | − | 0.891398i | \(-0.350275\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 6.50000 | − | 11.2583i | 0.252821 | − | 0.437898i | −0.711481 | − | 0.702706i | \(-0.751975\pi\) |
0.964301 | + | 0.264807i | \(0.0853084\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −15.0000 | − | 15.5885i | −0.582552 | − | 0.605406i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.00000 | − | 8.66025i | −0.193601 | − | 0.335326i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 18.0000 | + | 31.1769i | 0.695920 | + | 1.20537i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 28.0000 | 1.08093 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.50000 | − | 4.33013i | 0.0963679 | − | 0.166914i | −0.813811 | − | 0.581130i | \(-0.802611\pi\) |
0.910179 | + | 0.414216i | \(0.135944\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 16.0000 | 0.615840 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −26.0000 | −0.999261 | −0.499631 | − | 0.866239i | \(-0.666531\pi\) | ||||
−0.499631 | + | 0.866239i | \(0.666531\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 36.0000 | 1.37952 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 19.0000 | + | 32.9090i | 0.727015 | + | 1.25923i | 0.958139 | + | 0.286302i | \(0.0924262\pi\) |
−0.231125 | + | 0.972924i | \(0.574240\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.500000 | − | 0.866025i | −0.0191040 | − | 0.0330891i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −18.0000 | + | 31.1769i | −0.686743 | + | 1.18947i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 32.5000 | + | 33.7750i | 1.23815 | + | 1.28672i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −10.0000 | + | 17.3205i | −0.380418 | + | 0.658903i | −0.991122 | − | 0.132956i | \(-0.957553\pi\) |
0.610704 | + | 0.791859i | \(0.290887\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −8.00000 | − | 13.8564i | −0.303457 | − | 0.525603i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 9.00000 | 0.340899 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −6.00000 | + | 10.3923i | −0.226941 | + | 0.393073i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 10.0000 | 0.377695 | 0.188847 | − | 0.982006i | \(-0.439525\pi\) | ||||
0.188847 | + | 0.982006i | \(0.439525\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 10.0000 | 0.377157 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −6.00000 | + | 10.3923i | −0.225973 | + | 0.391397i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 10.5000 | + | 18.1865i | 0.394336 | + | 0.683010i | 0.993016 | − | 0.117978i | \(-0.0376414\pi\) |
−0.598680 | + | 0.800988i | \(0.704308\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.00000 | + | 6.92820i | 0.150012 | + | 0.259828i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −2.00000 | + | 3.46410i | −0.0749006 | + | 0.129732i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −14.0000 | + | 3.46410i | −0.523570 | + | 0.129550i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −12.0000 | + | 20.7846i | −0.448148 | + | 0.776215i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −24.0000 | − | 41.5692i | −0.895049 | − | 1.55027i | −0.833744 | − | 0.552151i | \(-0.813807\pi\) |
−0.0613050 | − | 0.998119i | \(-0.519526\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 14.0000 | 0.520666 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −10.0000 | + | 17.3205i | −0.371391 | + | 0.643268i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 28.0000 | 1.03846 | 0.519231 | − | 0.854634i | \(-0.326218\pi\) | ||||
0.519231 | + | 0.854634i | \(0.326218\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 13.0000 | 0.481481 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 6.00000 | − | 10.3923i | 0.221918 | − | 0.384373i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1.00000 | −0.0369358 | −0.0184679 | − | 0.999829i | \(-0.505879\pi\) | ||||
−0.0184679 | + | 0.999829i | \(0.505879\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −7.00000 | − | 12.1244i | −0.258199 | − | 0.447214i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 28.0000 | + | 48.4974i | 1.03139 | + | 1.78643i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −10.0000 | + | 17.3205i | −0.367856 | + | 0.637145i | −0.989230 | − | 0.146369i | \(-0.953241\pi\) |
0.621374 | + | 0.783514i | \(0.286575\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 10.0000 | + | 10.3923i | 0.367359 | + | 0.381771i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −24.0000 | + | 41.5692i | −0.880475 | + | 1.52503i | −0.0296605 | + | 0.999560i | \(0.509443\pi\) |
−0.850814 | + | 0.525467i | \(0.823891\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −10.5000 | − | 18.1865i | −0.384690 | − | 0.666303i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −2.00000 | − | 3.46410i | −0.0731762 | − | 0.126745i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −10.0000 | + | 17.3205i | −0.364905 | + | 0.632034i | −0.988761 | − | 0.149505i | \(-0.952232\pi\) |
0.623856 | + | 0.781540i | \(0.285565\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −44.0000 | −1.60345 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 22.0000 | 0.800662 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 19.0000 | − | 32.9090i | 0.690567 | − | 1.19610i | −0.281086 | − | 0.959683i | \(-0.590695\pi\) |
0.971652 | − | 0.236414i | \(-0.0759722\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −16.0000 | −0.580763 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −19.0000 | − | 32.9090i | −0.688749 | − | 1.19295i | −0.972243 | − | 0.233975i | \(-0.924827\pi\) |
0.283493 | − | 0.958974i | \(-0.408507\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 1.50000 | − | 2.59808i | 0.0542326 | − | 0.0939336i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −12.0000 | + | 41.5692i | −0.433295 | + | 1.50098i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −19.0000 | + | 32.9090i | −0.685158 | + | 1.18673i | 0.288230 | + | 0.957561i | \(0.406933\pi\) |
−0.973387 | + | 0.229166i | \(0.926400\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −11.0000 | − | 19.0526i | −0.396155 | − | 0.686161i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −3.00000 | − | 5.19615i | −0.107903 | − | 0.186893i | 0.807018 | − | 0.590527i | \(-0.201080\pi\) |
−0.914920 | + | 0.403634i | \(0.867747\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.00000 | 0.287368 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −6.00000 | −0.214972 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −24.0000 | −0.858788 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −10.0000 | + | 17.3205i | −0.357371 | + | 0.618984i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 5.00000 | 0.178458 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −11.0000 | − | 19.0526i | −0.392108 | − | 0.679150i | 0.600620 | − | 0.799535i | \(-0.294921\pi\) |
−0.992727 | + | 0.120384i | \(0.961587\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 24.0000 | + | 41.5692i | 0.854423 | + | 1.47990i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||