Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1280,2,Mod(127,1280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1280, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 2, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1280.127");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1280 = 2^{8} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1280.o (of order \(4\), 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: | \(10.2208514587\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(i)\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{3} \) |
Twist minimal: | no (minimal twist has level 80) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 127.1 | ||
Root | \(0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1280.127 |
Dual form | 1280.2.o.r.383.1 |
$q$-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 \(\left(\mathbb{Z}/1280\mathbb{Z}\right)^\times\).
\(n\) | \(257\) | \(261\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) |
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 | ||||||||
\(3\) | −1.73205 | + | 1.73205i | −1.00000 | + | 1.00000i | 1.00000i | \(0.5\pi\) | ||
−1.00000 | \(\pi\) | |||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.00000 | − | 1.00000i | 0.894427 | − | 0.447214i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.73205 | + | 1.73205i | −0.654654 | + | 0.654654i | −0.954110 | − | 0.299456i | \(-0.903195\pi\) |
0.299456 | + | 0.954110i | \(0.403195\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | − | 3.00000i | − | 1.00000i | ||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.46410 | −1.04447 | −0.522233 | − | 0.852803i | \(-0.674901\pi\) | ||||
−0.522233 | + | 0.852803i | \(0.674901\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.00000 | − | 1.00000i | −0.277350 | − | 0.277350i | 0.554700 | − | 0.832050i | \(-0.312833\pi\) |
−0.832050 | + | 0.554700i | \(0.812833\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.73205 | + | 5.19615i | −0.447214 | + | 1.34164i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.00000 | + | 1.00000i | 0.242536 | + | 0.242536i | 0.817898 | − | 0.575363i | \(-0.195139\pi\) |
−0.575363 | + | 0.817898i | \(0.695139\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 6.92820i | − | 1.58944i | −0.606977 | − | 0.794719i | \(-0.707618\pi\) | ||
0.606977 | − | 0.794719i | \(-0.292382\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 6.00000i | − | 1.30931i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.73205 | + | 1.73205i | 0.361158 | + | 0.361158i | 0.864239 | − | 0.503081i | \(-0.167800\pi\) |
−0.503081 | + | 0.864239i | \(0.667800\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.00000 | − | 4.00000i | 0.600000 | − | 0.800000i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.00000 | −0.742781 | −0.371391 | − | 0.928477i | \(-0.621119\pi\) | ||||
−0.371391 | + | 0.928477i | \(0.621119\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 3.46410i | − | 0.622171i | −0.950382 | − | 0.311086i | \(-0.899307\pi\) | ||
0.950382 | − | 0.311086i | \(-0.100693\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 6.00000 | − | 6.00000i | 1.04447 | − | 1.04447i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.73205 | + | 5.19615i | −0.292770 | + | 0.878310i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.00000 | + | 5.00000i | −0.821995 | + | 0.821995i | −0.986394 | − | 0.164399i | \(-0.947432\pi\) |
0.164399 | + | 0.986394i | \(0.447432\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.46410 | 0.554700 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.00000 | −0.312348 | −0.156174 | − | 0.987730i | \(-0.549916\pi\) | ||||
−0.156174 | + | 0.987730i | \(0.549916\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.73205 | − | 1.73205i | 0.264135 | − | 0.264135i | −0.562596 | − | 0.826732i | \(-0.690197\pi\) |
0.826732 | + | 0.562596i | \(0.190197\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −3.00000 | − | 6.00000i | −0.447214 | − | 0.894427i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.73205 | − | 1.73205i | 0.252646 | − | 0.252646i | −0.569409 | − | 0.822054i | \(-0.692828\pi\) |
0.822054 | + | 0.569409i | \(0.192828\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.00000i | 0.142857i | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −3.46410 | −0.485071 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −7.00000 | − | 7.00000i | −0.961524 | − | 0.961524i | 0.0377628 | − | 0.999287i | \(-0.487977\pi\) |
−0.999287 | + | 0.0377628i | \(0.987977\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −6.92820 | + | 3.46410i | −0.934199 | + | 0.467099i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 12.0000 | + | 12.0000i | 1.58944 | + | 1.58944i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | − | 6.92820i | − | 0.901975i | −0.892530 | − | 0.450988i | \(-0.851072\pi\) | ||
0.892530 | − | 0.450988i | \(-0.148928\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 6.00000i | − | 0.768221i | −0.923287 | − | 0.384111i | \(-0.874508\pi\) | ||
0.923287 | − | 0.384111i | \(-0.125492\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 5.19615 | + | 5.19615i | 0.654654 | + | 0.654654i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −3.00000 | − | 1.00000i | −0.372104 | − | 0.124035i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.19615 | + | 5.19615i | 0.634811 | + | 0.634811i | 0.949271 | − | 0.314460i | \(-0.101823\pi\) |
−0.314460 | + | 0.949271i | \(0.601823\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −6.00000 | −0.722315 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 10.3923i | − | 1.23334i | −0.787222 | − | 0.616670i | \(-0.788481\pi\) | ||
0.787222 | − | 0.616670i | \(-0.211519\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.00000 | − | 7.00000i | 0.819288 | − | 0.819288i | −0.166717 | − | 0.986005i | \(-0.553317\pi\) |
0.986005 | + | 0.166717i | \(0.0533166\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.73205 | + | 12.1244i | 0.200000 | + | 1.40000i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 6.00000 | − | 6.00000i | 0.683763 | − | 0.683763i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 9.00000 | 1.00000 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 12.1244 | − | 12.1244i | 1.33082 | − | 1.33082i | 0.426185 | − | 0.904636i | \(-0.359857\pi\) |
0.904636 | − | 0.426185i | \(-0.140143\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.00000 | + | 1.00000i | 0.325396 | + | 0.108465i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 6.92820 | − | 6.92820i | 0.742781 | − | 0.742781i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 8.00000i | 0.847998i | 0.905663 | + | 0.423999i | \(0.139374\pi\) | ||||
−0.905663 | + | 0.423999i | \(0.860626\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.46410 | 0.363137 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.00000 | + | 6.00000i | 0.622171 | + | 0.622171i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −6.92820 | − | 13.8564i | −0.710819 | − | 1.42164i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −7.00000 | − | 7.00000i | −0.710742 | − | 0.710742i | 0.255948 | − | 0.966691i | \(-0.417612\pi\) |
−0.966691 | + | 0.255948i | \(0.917612\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 10.3923i | 1.04447i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − | 10.0000i | − | 0.995037i | −0.867453 | − | 0.497519i | \(-0.834245\pi\) | ||
0.867453 | − | 0.497519i | \(-0.165755\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.73205 | + | 1.73205i | 0.170664 | + | 0.170664i | 0.787271 | − | 0.616607i | \(-0.211493\pi\) |
−0.616607 | + | 0.787271i | \(0.711493\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −6.00000 | − | 12.0000i | −0.585540 | − | 1.17108i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 8.66025 | + | 8.66025i | 0.837218 | + | 0.837218i | 0.988492 | − | 0.151274i | \(-0.0483374\pi\) |
−0.151274 | + | 0.988492i | \(0.548337\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.0000 | −1.14939 | −0.574696 | − | 0.818367i | \(-0.694880\pi\) | ||||
−0.574696 | + | 0.818367i | \(0.694880\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 17.3205i | − | 1.64399i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 9.00000 | − | 9.00000i | 0.846649 | − | 0.846649i | −0.143065 | − | 0.989713i | \(-0.545696\pi\) |
0.989713 | + | 0.143065i | \(0.0456957\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.19615 | + | 1.73205i | 0.484544 | + | 0.161515i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −3.00000 | + | 3.00000i | −0.277350 | + | 0.277350i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −3.46410 | −0.317554 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 3.46410 | − | 3.46410i | 0.312348 | − | 0.312348i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 2.00000 | − | 11.0000i | 0.178885 | − | 0.983870i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −12.1244 | + | 12.1244i | −1.07586 | + | 1.07586i | −0.0789869 | + | 0.996876i | \(0.525169\pi\) |
−0.996876 | + | 0.0789869i | \(0.974831\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 6.00000i | 0.528271i | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −10.3923 | −0.907980 | −0.453990 | − | 0.891007i | \(-0.650000\pi\) | ||||
−0.453990 | + | 0.891007i | \(0.650000\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 12.0000 | + | 12.0000i | 1.04053 | + | 1.04053i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −9.00000 | − | 9.00000i | −0.768922 | − | 0.768922i | 0.208995 | − | 0.977917i | \(-0.432981\pi\) |
−0.977917 | + | 0.208995i | \(0.932981\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 6.92820i | − | 0.587643i | −0.955860 | − | 0.293821i | \(-0.905073\pi\) | ||
0.955860 | − | 0.293821i | \(-0.0949270\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.00000i | 0.505291i | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 3.46410 | + | 3.46410i | 0.289683 | + | 0.289683i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −8.00000 | + | 4.00000i | −0.664364 | + | 0.332182i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.73205 | − | 1.73205i | −0.142857 | − | 0.142857i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 4.00000 | 0.327693 | 0.163846 | − | 0.986486i | \(-0.447610\pi\) | ||||
0.163846 | + | 0.986486i | \(0.447610\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 10.3923i | − | 0.845714i | −0.906196 | − | 0.422857i | \(-0.861027\pi\) | ||
0.906196 | − | 0.422857i | \(-0.138973\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 3.00000 | − | 3.00000i | 0.242536 | − | 0.242536i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.46410 | − | 6.92820i | −0.278243 | − | 0.556487i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −11.0000 | + | 11.0000i | −0.877896 | + | 0.877896i | −0.993317 | − | 0.115421i | \(-0.963178\pi\) |
0.115421 | + | 0.993317i | \(0.463178\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 24.2487 | 1.92305 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −6.00000 | −0.472866 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.73205 | + | 1.73205i | −0.135665 | + | 0.135665i | −0.771678 | − | 0.636013i | \(-0.780582\pi\) |
0.636013 | + | 0.771678i | \(0.280582\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.00000 | − | 18.0000i | 0.467099 | − | 1.40130i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −15.5885 | + | 15.5885i | −1.20627 | + | 1.20627i | −0.234045 | + | 0.972226i | \(0.575196\pi\) |
−0.972226 | + | 0.234045i | \(0.924804\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 11.0000i | − | 0.846154i | ||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −20.7846 | −1.58944 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 15.0000 | + | 15.0000i | 1.14043 | + | 1.14043i | 0.988372 | + | 0.152057i | \(0.0485898\pi\) |
0.152057 | + | 0.988372i | \(0.451410\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.73205 | + | 12.1244i | 0.130931 | + | 0.916515i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 12.0000 | + | 12.0000i | 0.901975 | + | 0.901975i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | − | 6.92820i | − | 0.517838i | −0.965899 | − | 0.258919i | \(-0.916634\pi\) | ||
0.965899 | − | 0.258919i | \(-0.0833663\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.00000i | 0.445976i | 0.974821 | + | 0.222988i | \(0.0715812\pi\) | ||||
−0.974821 | + | 0.222988i | \(0.928419\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 10.3923 | + | 10.3923i | 0.768221 | + | 0.768221i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −5.00000 | + | 15.0000i | −0.367607 | + | 1.10282i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.46410 | − | 3.46410i | −0.253320 | − | 0.253320i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 24.2487i | 1.75458i | 0.479965 | + | 0.877288i | \(0.340649\pi\) | ||||
−0.479965 | + | 0.877288i | \(0.659351\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.00000 | − | 1.00000i | 0.0719816 | − | 0.0719816i | −0.670199 | − | 0.742181i | \(-0.733791\pi\) |
0.742181 | + | 0.670199i | \(0.233791\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 6.92820 | − | 3.46410i | 0.496139 | − | 0.248069i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.00000 | − | 3.00000i | 0.213741 | − | 0.213741i | −0.592113 | − | 0.805855i | \(-0.701706\pi\) |
0.805855 | + | 0.592113i | \(0.201706\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 13.8564 | 0.982255 | 0.491127 | − | 0.871088i | \(-0.336585\pi\) | ||||
0.491127 | + | 0.871088i | \(0.336585\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −18.0000 | −1.26962 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 6.92820 | − | 6.92820i | 0.486265 | − | 0.486265i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.00000 | + | 2.00000i | −0.279372 | + | 0.139686i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 5.19615 | − | 5.19615i | 0.361158 | − | 0.361158i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 24.0000i | 1.66011i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.3923 | −0.715436 | −0.357718 | − | 0.933830i | \(-0.616445\pi\) | ||||
−0.357718 | + | 0.933830i | \(0.616445\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 18.0000 | + | 18.0000i | 1.23334 | + | 1.23334i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 1.73205 | − | 5.19615i | 0.118125 | − | 0.354375i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.00000 | + | 6.00000i | 0.407307 | + | 0.407307i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 24.2487i | 1.63858i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | − | 2.00000i | − | 0.134535i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −15.5885 | − | 15.5885i | −1.04388 | − | 1.04388i | −0.998992 | − | 0.0448883i | \(-0.985707\pi\) |
−0.0448883 | − | 0.998992i | \(-0.514293\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −12.0000 | − | 9.00000i | −0.800000 | − | 0.600000i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −8.66025 | − | 8.66025i | −0.574801 | − | 0.574801i | 0.358665 | − | 0.933466i | \(-0.383232\pi\) |
−0.933466 | + | 0.358665i | \(0.883232\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −20.0000 | −1.32164 | −0.660819 | − | 0.750546i | \(-0.729791\pi\) | ||||
−0.660819 | + | 0.750546i | \(0.729791\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 20.7846i | 1.36753i | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −1.00000 | + | 1.00000i | −0.0655122 | + | 0.0655122i | −0.739104 | − | 0.673592i | \(-0.764751\pi\) |
0.673592 | + | 0.739104i | \(0.264751\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.73205 | − | 5.19615i | 0.112987 | − | 0.338960i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −27.7128 | −1.79259 | −0.896296 | − | 0.443455i | \(-0.853752\pi\) | ||||
−0.896296 | + | 0.443455i | \(0.853752\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −22.0000 | −1.41714 | −0.708572 | − | 0.705638i | \(-0.750660\pi\) | ||||
−0.708572 | + | 0.705638i | \(0.750660\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −15.5885 | + | 15.5885i | −1.00000 | + | 1.00000i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 1.00000 | + | 2.00000i | 0.0638877 | + | 0.127775i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −6.92820 | + | 6.92820i | −0.440831 | + | 0.440831i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 42.0000i | 2.66164i | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −3.46410 | −0.218652 | −0.109326 | − | 0.994006i | \(-0.534869\pi\) | ||||
−0.109326 | + | 0.994006i | \(0.534869\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.00000 | − | 6.00000i | −0.377217 | − | 0.377217i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −6.92820 | + | 3.46410i | −0.433861 | + | 0.216930i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 9.00000 | + | 9.00000i | 0.561405 | + | 0.561405i | 0.929706 | − | 0.368302i | \(-0.120061\pi\) |
−0.368302 | + | 0.929706i | \(0.620061\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | − | 17.3205i | − | 1.07624i | ||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 12.0000i | 0.742781i | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −12.1244 | − | 12.1244i | −0.747620 | − | 0.747620i | 0.226412 | − | 0.974032i | \(-0.427300\pi\) |
−0.974032 | + | 0.226412i | \(0.927300\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −21.0000 | − | 7.00000i | −1.29002 | − | 0.430007i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −13.8564 | − | 13.8564i | −0.847998 | − | 0.847998i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 4.00000 | 0.243884 | 0.121942 | − | 0.992537i | \(-0.461088\pi\) | ||||
0.121942 | + | 0.992537i | \(0.461088\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 3.46410i | − | 0.210429i | −0.994450 | − | 0.105215i | \(-0.966447\pi\) | ||
0.994450 | − | 0.105215i | \(-0.0335529\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −6.00000 | + | 6.00000i | −0.363137 | + | 0.363137i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −10.3923 | + | 13.8564i | −0.626680 | + | 0.835573i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −13.0000 | + | 13.0000i | −0.781094 | + | 0.781094i | −0.980015 | − | 0.198921i | \(-0.936256\pi\) |
0.198921 | + | 0.980015i | \(0.436256\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −10.3923 | −0.622171 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 14.0000 | 0.835170 | 0.417585 | − | 0.908638i | \(-0.362877\pi\) | ||||
0.417585 | + | 0.908638i | \(0.362877\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.1244 | + | 12.1244i | −0.720718 | + | 0.720718i | −0.968751 | − | 0.248033i | \(-0.920216\pi\) |
0.248033 | + | 0.968751i | \(0.420216\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 36.0000 | + | 12.0000i | 2.13246 | + | 0.710819i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 3.46410 | − | 3.46410i | 0.204479 | − | 0.204479i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | − | 15.0000i | − | 0.882353i | ||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 24.2487 | 1.42148 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 9.00000 | + | 9.00000i | 0.525786 | + | 0.525786i | 0.919313 | − | 0.393527i | \(-0.128745\pi\) |
−0.393527 | + | 0.919313i | \(0.628745\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.92820 | − | 13.8564i | −0.403376 | − | 0.806751i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | − | 3.46410i | − | 0.200334i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.00000i | 0.345834i | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 17.3205 | + | 17.3205i | 0.995037 | + | 0.995037i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −6.00000 | − | 12.0000i | −0.343559 | − | 0.687118i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.19615 | + | 5.19615i | 0.296560 | + | 0.296560i | 0.839665 | − | 0.543105i | \(-0.182751\pi\) |
−0.543105 | + | 0.839665i | \(0.682751\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −6.00000 | −0.341328 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 17.3205i | 0.982156i | 0.871116 | + | 0.491078i | \(0.163397\pi\) | ||||
−0.871116 | + | 0.491078i | \(0.836603\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 7.00000 | − | 7.00000i | 0.395663 | − | 0.395663i | −0.481037 | − | 0.876700i | \(-0.659740\pi\) |
0.876700 | + | 0.481037i | \(0.159740\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 15.5885 | + | 5.19615i | 0.878310 | + | 0.292770i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −19.0000 | + | 19.0000i | −1.06715 | + | 1.06715i | −0.0695692 | + | 0.997577i | \(0.522162\pi\) |
−0.997577 | + | 0.0695692i | \(0.977838\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 13.8564 | 0.775810 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −30.0000 | −1.67444 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 6.92820 | − | 6.92820i | 0.385496 | − | 0.385496i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −7.00000 | + | 1.00000i | −0.388290 | + | 0.0554700i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 20.7846 | − | 20.7846i | 1.14939 | − | 1.14939i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 6.00000i | 0.330791i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 24.2487 | 1.33283 | 0.666415 | − | 0.745581i | \(-0.267828\pi\) | ||||
0.666415 | + | 0.745581i | \(0.267828\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 15.0000 | + | 15.0000i | 0.821995 | + | 0.821995i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 15.5885 | + | 5.19615i | 0.851688 | + | 0.283896i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.00000 | + | 1.00000i | 0.0544735 | + | 0.0544735i | 0.733819 | − | 0.679345i | \(-0.237736\pi\) |
−0.679345 | + | 0.733819i | \(0.737736\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 31.1769i | 1.69330i | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.0000i | 0.649836i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −13.8564 | − | 13.8564i | −0.748176 | − | 0.748176i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −12.0000 | + | 6.00000i | −0.646058 | + | 0.323029i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −5.19615 | − | 5.19615i | −0.278944 | − | 0.278944i | 0.553743 | − | 0.832687i | \(-0.313199\pi\) |
−0.832687 | + | 0.553743i | \(0.813199\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 12.0000 | 0.642345 | 0.321173 | − | 0.947021i | \(-0.395923\pi\) | ||||
0.321173 | + | 0.947021i | \(0.395923\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 1.00000 | − | 1.00000i | 0.0532246 | − | 0.0532246i | −0.679994 | − | 0.733218i | \(-0.738017\pi\) |
0.733218 | + | 0.679994i | \(0.238017\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −10.3923 | − | 20.7846i | −0.551566 | − | 1.10313i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 6.00000 | − | 6.00000i | 0.317554 | − | 0.317554i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 13.8564 | 0.731313 | 0.365657 | − | 0.930750i | \(-0.380844\pi\) | ||||
0.365657 | + | 0.930750i | \(0.380844\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −29.0000 | −1.52632 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.73205 | + | 1.73205i | −0.0909091 | + | 0.0909091i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 7.00000 | − | 21.0000i | 0.366397 | − | 1.09919i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 15.5885 | − | 15.5885i | 0.813711 | − | 0.813711i | −0.171477 | − | 0.985188i | \(-0.554854\pi\) |
0.985188 | + | 0.171477i | \(0.0548540\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 6.00000i | 0.312348i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 24.2487 | 1.25893 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.00000 | + | 1.00000i | 0.0517780 | + | 0.0517780i | 0.732522 | − | 0.680744i | \(-0.238343\pi\) |
−0.680744 | + | 0.732522i | \(0.738343\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 15.5885 | + | 22.5167i | 0.804984 | + | 1.16276i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 4.00000 | + | 4.00000i | 0.206010 | + | 0.206010i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 6.92820i | − | 0.355878i | −0.984042 | − | 0.177939i | \(-0.943057\pi\) | ||
0.984042 | − | 0.177939i | \(-0.0569430\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − | 42.0000i | − | 2.15173i | ||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −15.5885 | − | 15.5885i | −0.796533 | − | 0.796533i | 0.186014 | − | 0.982547i | \(-0.440443\pi\) |
−0.982547 | + | 0.186014i | \(0.940443\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 6.00000 | − | 18.0000i | 0.305788 | − | 0.917365i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −5.19615 | − | 5.19615i | −0.264135 | − | 0.264135i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 20.0000 | 1.01404 | 0.507020 | − | 0.861934i | \(-0.330747\pi\) | ||||
0.507020 | + | 0.861934i | \(0.330747\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.46410i | 0.175187i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 18.0000 | − | 18.0000i | 0.907980 | − | 0.907980i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −11.0000 | + | 11.0000i | −0.552074 | + | 0.552074i | −0.927039 | − | 0.374965i | \(-0.877655\pi\) |
0.374965 | + | 0.927039i | \(0.377655\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −41.5692 | −2.08106 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.00000 | 0.0998752 | 0.0499376 | − | 0.998752i | \(-0.484098\pi\) | ||||
0.0499376 | + | 0.998752i | \(0.484098\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.46410 | + | 3.46410i | −0.172559 | + | 0.172559i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 18.0000 | − | 9.00000i | 0.894427 | − | 0.447214i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 17.3205 | − | 17.3205i | 0.858546 | − | 0.858546i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 31.1769 | 1.53784 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 12.0000 | + | 12.0000i | 0.590481 | + | 0.590481i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 12.1244 | − | 36.3731i | 0.595161 | − | 1.78548i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 12.0000 | + | 12.0000i | 0.587643 | + | 0.587643i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 6.92820i | − | 0.338465i | −0.985576 | − | 0.169232i | \(-0.945871\pi\) | ||
0.985576 | − | 0.169232i | \(-0.0541289\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 2.00000i | − | 0.0974740i | −0.998812 | − | 0.0487370i | \(-0.984480\pi\) | ||
0.998812 | − | 0.0487370i | \(-0.0155196\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −5.19615 | − | 5.19615i | −0.252646 | − | 0.252646i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 7.00000 | − | 1.00000i | 0.339550 | − | 0.0485071i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 10.3923 | + | 10.3923i | 0.502919 | + | 0.502919i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −12.0000 | −0.579365 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 3.46410i | − | 0.166860i | −0.996514 | − | 0.0834300i | \(-0.973413\pi\) | ||
0.996514 | − | 0.0834300i | \(-0.0265875\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −7.00000 | + | 7.00000i | −0.336399 | + | 0.336399i | −0.855010 | − | 0.518611i | \(-0.826449\pi\) |
0.518611 | + | 0.855010i | \(0.326449\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 6.92820 | − | 20.7846i | 0.332182 | − | 0.996546i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 12.0000 | − | 12.0000i | 0.574038 | − | 0.574038i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −13.8564 | −0.661330 | −0.330665 | − | 0.943748i | \(-0.607273\pi\) | ||||
−0.330665 | + | 0.943748i | \(0.607273\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.00000 | 0.142857 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −12.1244 | + | 12.1244i | −0.576046 | + | 0.576046i | −0.933811 | − | 0.357766i | \(-0.883539\pi\) |
0.357766 | + | 0.933811i | \(0.383539\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 8.00000 | + | 16.0000i | 0.379236 | + | 0.758473i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −6.92820 | + | 6.92820i | −0.327693 | + | 0.327693i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 8.00000i | 0.377543i | 0.982021 | + | 0.188772i | \(0.0604506\pi\) | ||||
−0.982021 | + | 0.188772i | \(0.939549\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.92820 | 0.326236 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 18.0000 | + | 18.0000i | 0.845714 | + | 0.845714i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 6.92820 | − | 3.46410i | 0.324799 | − | 0.162400i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −17.0000 | − | 17.0000i | −0.795226 | − | 0.795226i | 0.187112 | − | 0.982339i | \(-0.440087\pi\) |
−0.982339 | + | 0.187112i | \(0.940087\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 2.00000i | 0.0931493i | 0.998915 | + | 0.0465746i | \(0.0148305\pi\) | ||||
−0.998915 | + | 0.0465746i | \(0.985169\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.73205 | − | 1.73205i | −0.0804952 | − | 0.0804952i | 0.665713 | − | 0.746208i | \(-0.268128\pi\) |
−0.746208 | + | 0.665713i | \(0.768128\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 18.0000 | + | 6.00000i | 0.834730 | + | 0.278243i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 19.0526 | + | 19.0526i | 0.881647 | + | 0.881647i | 0.993702 | − | 0.112055i | \(-0.0357432\pi\) |
−0.112055 | + | 0.993702i | \(0.535743\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −18.0000 | −0.831163 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | − | 38.1051i | − | 1.75579i | ||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −6.00000 | + | 6.00000i | −0.275880 | + | 0.275880i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −27.7128 | − | 20.7846i | −1.27155 | − | 0.953663i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −21.0000 | + | 21.0000i | −0.961524 | + | 0.961524i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 27.7128 | 1.26623 | 0.633115 | − | 0.774057i | \(-0.281776\pi\) | ||||
0.633115 | + | 0.774057i | \(0.281776\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 10.0000 | 0.455961 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 10.3923 | − | 10.3923i | 0.472866 | − | 0.472866i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −21.0000 | − | 7.00000i | −0.953561 | − | 0.317854i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.73205 | + | 1.73205i | −0.0784867 | + | 0.0784867i | −0.745260 | − | 0.666774i | \(-0.767675\pi\) |
0.666774 | + | 0.745260i | \(0.267675\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | − | 6.00000i | − | 0.271329i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 24.2487 | 1.09433 | 0.547165 | − | 0.837025i | \(-0.315707\pi\) | ||||
0.547165 | + | 0.837025i | \(0.315707\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.00000 | − | 4.00000i | −0.180151 | − | 0.180151i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 10.3923 | + | 20.7846i | 0.467099 | + | 0.934199i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 18.0000 | + | 18.0000i | 0.807410 | + | 0.807410i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 20.7846i | 0.930447i | 0.885193 | + | 0.465223i | \(0.154026\pi\) | ||||
−0.885193 | + | 0.465223i | \(0.845974\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | − | 54.0000i | − | 2.41254i | ||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 1.73205 | + | 1.73205i | 0.0772283 | + | 0.0772283i | 0.744666 | − | 0.667437i | \(-0.232609\pi\) |
−0.667437 | + | 0.744666i | \(0.732609\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.0000 | − | 20.0000i | −0.444994 | − | 0.889988i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 19.0526 | + | 19.0526i | 0.846154 | + | 0.846154i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −20.0000 | −0.886484 | −0.443242 | − | 0.896402i | \(-0.646172\pi\) | ||||
−0.443242 | + | 0.896402i | \(0.646172\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 24.2487i | 1.07270i | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 5.19615 | + | 1.73205i | 0.228970 | + | 0.0763233i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −6.00000 | + | 6.00000i | −0.263880 | + | 0.263880i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −51.9615 | −2.28086 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 38.0000 | 1.66481 | 0.832405 | − | 0.554168i | \(-0.186963\pi\) | ||||
0.832405 | + | 0.554168i | \(0.186963\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −12.1244 | + | 12.1244i | −0.530161 | + | 0.530161i | −0.920620 | − | 0.390459i | \(-0.872316\pi\) |
0.390459 | + | 0.920620i | \(0.372316\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −24.0000 | − | 18.0000i | −1.04745 | − | 0.785584i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 3.46410 | − | 3.46410i | 0.150899 | − | 0.150899i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 17.0000i | − | 0.739130i | ||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −20.7846 | −0.901975 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.00000 | + | 2.00000i | 0.0866296 | + | 0.0866296i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 25.9808 | + | 8.66025i | 1.12325 | + | 0.374415i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 12.0000 | + | 12.0000i | 0.517838 | + | 0.517838i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | − | 3.46410i | − | 0.149209i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 18.0000i | 0.773880i | 0.922105 | + | 0.386940i | \(0.126468\pi\) | ||||
−0.922105 | + | 0.386940i | \(0.873532\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −10.3923 | − | 10.3923i | −0.445976 | − | 0.445976i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −24.0000 | + | 12.0000i | −1.02805 | + | 0.514024i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.66025 | − | 8.66025i | −0.370286 | − | 0.370286i | 0.497296 | − | 0.867581i | \(-0.334326\pi\) |
−0.867581 | + | 0.497296i | \(0.834326\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −18.0000 | −0.768221 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 27.7128i | 1.18061i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −17.3205 | − | 34.6410i | −0.735215 | − | 1.47043i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 29.0000 | − | 29.0000i | 1.22877 | − | 1.22877i | 0.264340 | − | 0.964430i | \(-0.414846\pi\) |
0.964430 | − | 0.264340i | \(-0.0851541\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.46410 | −0.146516 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 12.0000 | 0.506640 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −29.4449 | + | 29.4449i | −1.24095 | + | 1.24095i | −0.281347 | + | 0.959606i | \(0.590781\pi\) |
−0.959606 | + | 0.281347i | \(0.909219\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 9.00000 | − | 27.0000i | 0.378633 | − | 1.13590i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −15.5885 | + | 15.5885i | −0.654654 | + | 0.654654i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | − | 16.0000i | − | 0.670755i | −0.942084 | − | 0.335377i | \(-0.891136\pi\) | ||
0.942084 | − | 0.335377i | \(-0.108864\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −31.1769 | −1.30471 | −0.652357 | − | 0.757912i | \(-0.726220\pi\) | ||||
−0.652357 | + | 0.757912i | \(0.726220\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −42.0000 | − | 42.0000i | −1.75458 | − | 1.75458i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 12.1244 | − | 1.73205i | 0.505621 | − | 0.0722315i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −7.00000 | − | 7.00000i | −0.291414 | − | 0.291414i | 0.546225 | − | 0.837639i | \(-0.316064\pi\) |
−0.837639 | + | 0.546225i | \(0.816064\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 3.46410i | 0.143963i | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 42.0000i | 1.74245i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 24.2487 | + | 24.2487i | 1.00428 | + | 1.00428i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −3.00000 | + | 9.00000i | −0.124035 | + | 0.372104i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −5.19615 | − | 5.19615i | −0.214468 | − | 0.214468i | 0.591694 | − | 0.806162i | \(-0.298459\pi\) |
−0.806162 | + | 0.591694i | \(0.798459\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −24.0000 | −0.988903 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 10.3923i | 0.427482i | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 33.0000 | − | 33.0000i | 1.35515 | − | 1.35515i | 0.475352 | − | 0.879796i | \(-0.342321\pi\) |
0.879796 | − | 0.475352i | \(-0.157679\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −6.92820 | + | 3.46410i | −0.284029 | + | 0.142014i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −24.0000 | + | 24.0000i | −0.982255 | + | 0.982255i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −13.8564 | −0.566157 | −0.283079 | − | 0.959097i | \(-0.591356\pi\) | ||||
−0.283079 | + | 0.959097i | \(0.591356\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −18.0000 | −0.734235 | −0.367118 | − | 0.930175i | \(-0.619655\pi\) | ||||
−0.367118 | + | 0.930175i | \(0.619655\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 15.5885 | − | 15.5885i | 0.634811 | − | 0.634811i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 2.00000 | − | 1.00000i | 0.0813116 | − | 0.0406558i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −25.9808 | + | 25.9808i | −1.05453 | + | 1.05453i | −0.0561015 | + | 0.998425i | \(0.517867\pi\) |
−0.998425 | + | 0.0561015i | \(0.982133\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 24.0000i | 0.972529i | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −3.46410 | −0.140143 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −31.0000 | − | 31.0000i | −1.25208 | − | 1.25208i | −0.954787 | − | 0.297291i | \(-0.903917\pi\) |
−0.297291 | − | 0.954787i | \(-0.596083\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 3.46410 | − | 10.3923i | 0.139686 | − | 0.419058i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 7.00000 | + | 7.00000i | 0.281809 | + | 0.281809i | 0.833830 | − | 0.552021i | \(-0.186143\pi\) |
−0.552021 | + | 0.833830i | \(0.686143\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 20.7846i | 0.835404i | 0.908584 | + | 0.417702i | \(0.137164\pi\) | ||||
−0.908584 | + | 0.417702i | \(0.862836\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −13.8564 | − | 13.8564i | −0.555145 | − | 0.555145i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −7.00000 | − | 24.0000i | −0.280000 | − | 0.960000i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −41.5692 | − | 41.5692i | −1.66011 | − | 1.66011i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −10.0000 | −0.398726 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 17.3205i | 0.689519i | 0.938691 | + | 0.344759i | \(0.112039\pi\) | ||||
−0.938691 | + | 0.344759i | \(0.887961\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 18.0000 | − | 18.0000i | 0.715436 | − | 0.715436i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −12.1244 | + | 36.3731i | −0.481140 | + | 1.44342i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.00000 | − | 1.00000i | 0.0396214 | − | 0.0396214i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −31.1769 | −1.23334 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 26.0000 | 1.02694 | 0.513469 | − | 0.858108i | \(-0.328360\pi\) | ||||
0.513469 | + | 0.858108i | \(0.328360\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −15.5885 | + | 15.5885i | −0.614749 | + | 0.614749i | −0.944180 | − | 0.329431i | \(-0.893143\pi\) |
0.329431 | + | 0.944180i | \(0.393143\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 6.00000 | + | 12.0000i | 0.236250 | + | 0.472500i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −1.73205 | + | 1.73205i | −0.0680939 | + | 0.0680939i | −0.740334 | − | 0.672240i | \(-0.765332\pi\) |
0.672240 | + | 0.740334i | \(0.265332\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 24.0000i | 0.942082i | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −20.7846 | −0.814613 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 23.0000 | + | 23.0000i | 0.900060 | + | 0.900060i | 0.995441 | − | 0.0953813i | \(-0.0304070\pi\) |
−0.0953813 | + | 0.995441i | \(0.530407\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −20.7846 | + | 10.3923i | −0.812122 | + | 0.406061i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −21.0000 | − | 21.0000i | −0.819288 | − | 0.819288i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 34.6410i | − | 1.34942i | −0.738082 | − | 0.674711i | \(-0.764268\pi\) | ||
0.738082 | − | 0.674711i | \(-0.235732\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 18.0000i | − | 0.700119i | −0.936727 | − | 0.350059i | \(-0.886161\pi\) | ||
0.936727 | − | 0.350059i | \(-0.113839\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 3.46410 | + | 3.46410i | 0.134535 | + | 0.134535i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 36.0000 | + | 12.0000i | 1.39602 | + | 0.465340i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.92820 | − | 6.92820i | −0.268261 | − | 0.268261i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 54.0000 | 2.08776 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 20.7846i | 0.802381i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 25.0000 | − | 25.0000i | 0.963679 | − | 0.963679i | −0.0356839 | − | 0.999363i | \(-0.511361\pi\) |
0.999363 | + | 0.0356839i | \(0.0113610\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 35.0000 | − | 35.0000i | 1.34516 | − | 1.34516i | 0.454321 | − | 0.890838i | \(-0.349882\pi\) |
0.890838 | − | 0.454321i | \(-0.150118\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 24.2487 | 0.930580 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 30.0000 | 1.14960 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 1.73205 | − | 1.73205i | 0.0662751 | − | 0.0662751i | −0.673192 | − | 0.739467i | \(-0.735077\pi\) |
0.739467 | + | 0.673192i | \(0.235077\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −27.0000 | − | 9.00000i | −1.03162 | − | 0.343872i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 34.6410 | − | 34.6410i | 1.32164 | − | 1.32164i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 14.0000i | 0.533358i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 45.0333 | 1.71315 | 0.856574 | − | 0.516024i | \(-0.172588\pi\) | ||||
0.856574 | + | 0.516024i | \(0.172588\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −18.0000 | − | 18.0000i | −0.683763 | − | 0.683763i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −6.92820 | − | 13.8564i | −0.262802 | − | 0.525603i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.00000 | − | 2.00000i | −0.0757554 | − | 0.0757554i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | − | 3.46410i | − | 0.131024i | ||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 38.0000i | − | 1.43524i | −0.696435 | − | 0.717620i | \(-0.745231\pi\) | ||
0.696435 | − | 0.717620i | \(-0.254769\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 34.6410 | + | 34.6410i | 1.30651 | + | 1.30651i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 6.00000 | + | 12.0000i | 0.225973 | + | 0.451946i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 17.3205 | + | 17.3205i | 0.651405 | + | 0.651405i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.00000 | −0.150223 | −0.0751116 | − | 0.997175i | \(-0.523931\pi\) | ||||
−0.0751116 | + | 0.997175i | \(0.523931\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 6.00000 | − | 6.00000i | 0.224702 | − | 0.224702i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 10.3923 | + | 3.46410i | 0.388650 | + | 0.129550i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 48.0000 | − | 48.0000i | 1.79259 | − | 1.79259i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 27.7128 | 1.03351 | 0.516757 | − | 0.856132i | \(-0.327139\pi\) | ||||
0.516757 | + | 0.856132i | \(0.327139\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −6.00000 | −0.223452 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 38.1051 | − | 38.1051i | 1.41714 | − | 1.41714i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −12.0000 | + | 16.0000i | −0.445669 | + | 0.594225i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.73205 | + | 1.73205i | −0.0642382 | + | 0.0642382i | −0.738496 | − | 0.674258i | \(-0.764464\pi\) |
0.674258 | + | 0.738496i | \(0.264464\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 27.0000i | − | 1.00000i | ||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 3.46410 | 0.128124 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1.00000 | − | 1.00000i | −0.0369358 | − | 0.0369358i | 0.688398 | − | 0.725333i | \(-0.258314\pi\) |
−0.725333 | + | 0.688398i | \(0.758314\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −5.19615 | − | 1.73205i | −0.191663 | − | 0.0638877i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −18.0000 | − | 18.0000i | −0.663039 | − | 0.663039i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 20.7846i | 0.764574i | 0.924044 | + | 0.382287i | \(0.124863\pi\) | ||||
−0.924044 | + | 0.382287i | \(0.875137\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − | 24.0000i | − | 0.881662i | ||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −12.1244 | − | 12.1244i | −0.444799 | − | 0.444799i | 0.448822 | − | 0.893621i | \(-0.351844\pi\) |
−0.893621 | + | 0.448822i | \(0.851844\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 8.00000 | − | 4.00000i | 0.293097 | − | 0.146549i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −36.3731 | − | 36.3731i | −1.33082 | − | 1.33082i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −30.0000 | −1.09618 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 3.46410i | − | 0.126407i | −0.998001 | − | 0.0632034i | \(-0.979868\pi\) | ||
0.998001 | − | 0.0632034i | \(-0.0201317\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 6.00000 | − | 6.00000i | 0.218652 | − | 0.218652i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −10.3923 | − | 20.7846i | −0.378215 | − | 0.756429i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −29.0000 | + | 29.0000i | −1.05402 | + | 1.05402i | −0.0555680 | + | 0.998455i | \(0.517697\pi\) |
−0.998455 | + | 0.0555680i | \(0.982303\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 20.7846 | 0.754434 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −10.0000 | −0.362500 | −0.181250 | − | 0.983437i | \(-0.558014\pi\) | ||||
−0.181250 | + | 0.983437i | \(0.558014\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 20.7846 | − | 20.7846i | 0.752453 | − | 0.752453i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 3.00000 | − | 9.00000i | 0.108465 | − | 0.325396i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −6.92820 | + | 6.92820i | −0.250163 | + | 0.250163i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 48.0000i | − | 1.73092i | −0.500974 | − | 0.865462i | \(-0.667025\pi\) | ||
0.500974 | − | 0.865462i | \(-0.332975\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −31.1769 | −1.12281 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 1.00000 | + | 1.00000i | 0.0359675 | + | 0.0359675i | 0.724862 | − | 0.688894i | \(-0.241904\pi\) |
−0.688894 | + | 0.724862i | \(0.741904\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −13.8564 | − | 10.3923i | −0.497737 | − | 0.373303i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 30.0000 | + | 30.0000i | 1.07624 | + | 1.07624i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 13.8564i | 0.496457i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 36.0000i | 1.28818i | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −11.0000 | + | 33.0000i | −0.392607 | + | 1.17782i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 5.19615 | + | 5.19615i | 0.185223 | + | 0.185223i | 0.793627 | − | 0.608404i | \(-0.208190\pi\) |
−0.608404 | + | 0.793627i | \(0.708190\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 42.0000 | 1.49524 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 31.1769i |