Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(85,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bo (of order \(9\), degree \(6\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 337.2 | ||
Character | \(\chi\) | \(=\) | 756.337 |
Dual form | 756.2.bo.b.673.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(1\) | \(1\) |
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 | ||||||||
\(3\) | −1.09514 | + | 1.34189i | −0.632279 | + | 0.774741i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.684464 | + | 0.574334i | 0.306102 | + | 0.256850i | 0.782879 | − | 0.622175i | \(-0.213751\pi\) |
−0.476777 | + | 0.879024i | \(0.658195\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.939693 | + | 0.342020i | 0.355170 | + | 0.129271i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.601340 | − | 2.93911i | −0.200447 | − | 0.979705i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.74353 | − | 3.14120i | 1.12872 | − | 0.947107i | 0.129706 | − | 0.991552i | \(-0.458597\pi\) |
0.999012 | + | 0.0444458i | \(0.0141522\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.797816 | − | 4.52464i | 0.221274 | − | 1.25491i | −0.648406 | − | 0.761294i | \(-0.724564\pi\) |
0.869681 | − | 0.493615i | \(-0.164325\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.52028 | + | 0.289501i | −0.392534 | + | 0.0747487i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.183107 | + | 0.317150i | −0.0444099 | + | 0.0769203i | −0.887376 | − | 0.461047i | \(-0.847474\pi\) |
0.842966 | + | 0.537967i | \(0.180807\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.61024 | + | 2.78901i | 0.369414 | + | 0.639844i | 0.989474 | − | 0.144711i | \(-0.0462251\pi\) |
−0.620060 | + | 0.784554i | \(0.712892\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.48805 | + | 0.886405i | −0.324719 | + | 0.193429i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.34120 | − | 0.852125i | 0.488173 | − | 0.177680i | −0.0861940 | − | 0.996278i | \(-0.527470\pi\) |
0.574367 | + | 0.818598i | \(0.305248\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.729609 | − | 4.13782i | −0.145922 | − | 0.827564i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.60252 | + | 2.41181i | 0.885755 | + | 0.464152i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.646594 | + | 3.66701i | 0.120069 | + | 0.680947i | 0.984115 | + | 0.177533i | \(0.0568118\pi\) |
−0.864045 | + | 0.503414i | \(0.832077\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.605945 | − | 0.220546i | 0.108831 | − | 0.0396112i | −0.287031 | − | 0.957921i | \(-0.592668\pi\) |
0.395862 | + | 0.918310i | \(0.370446\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.115453 | + | 8.46346i | 0.0200978 | + | 1.47330i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.446752 | + | 0.773797i | 0.0755149 | + | 0.130796i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.115378 | − | 0.199840i | 0.0189680 | − | 0.0328535i | −0.856386 | − | 0.516337i | \(-0.827295\pi\) |
0.875354 | + | 0.483483i | \(0.160629\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.19785 | + | 6.02569i | 0.832322 | + | 0.964883i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.29956 | + | 7.37018i | −0.202957 | + | 1.15103i | 0.697664 | + | 0.716425i | \(0.254223\pi\) |
−0.900622 | + | 0.434604i | \(0.856888\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.0797498 | + | 0.0669180i | −0.0121617 | + | 0.0102049i | −0.648848 | − | 0.760918i | \(-0.724749\pi\) |
0.636686 | + | 0.771123i | \(0.280305\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.27644 | − | 2.35709i | 0.190280 | − | 0.351374i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 10.0754 | + | 3.66714i | 1.46964 | + | 0.534907i | 0.948004 | − | 0.318259i | \(-0.103098\pi\) |
0.521640 | + | 0.853165i | \(0.325320\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.766044 | + | 0.642788i | 0.109435 | + | 0.0918268i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.225054 | − | 0.593033i | −0.0315138 | − | 0.0830412i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.90672 | 0.261908 | 0.130954 | − | 0.991388i | \(-0.458196\pi\) | ||||
0.130954 | + | 0.991388i | \(0.458196\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.36641 | 0.588766 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −5.50599 | − | 0.893596i | −0.729286 | − | 0.118360i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.258925 | + | 0.217263i | 0.0337091 | + | 0.0282853i | 0.659487 | − | 0.751716i | \(-0.270774\pi\) |
−0.625777 | + | 0.780002i | \(0.715218\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.76707 | − | 1.37110i | −0.482323 | − | 0.175551i | 0.0894033 | − | 0.995996i | \(-0.471504\pi\) |
−0.571727 | + | 0.820444i | \(0.693726\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.440161 | − | 2.96753i | 0.0554551 | − | 0.373874i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.14473 | − | 2.63874i | 0.390055 | − | 0.327295i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.21990 | − | 12.5897i | 0.271204 | − | 1.53807i | −0.479565 | − | 0.877507i | \(-0.659205\pi\) |
0.750768 | − | 0.660566i | \(-0.229684\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.42048 | + | 4.07482i | −0.171005 | + | 0.490551i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.53427 | − | 4.38948i | 0.300762 | − | 0.520936i | −0.675546 | − | 0.737317i | \(-0.736092\pi\) |
0.976309 | + | 0.216382i | \(0.0694255\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.80034 | − | 6.58238i | −0.444796 | − | 0.770409i | 0.553242 | − | 0.833020i | \(-0.313390\pi\) |
−0.998038 | + | 0.0626116i | \(0.980057\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 6.35152 | + | 3.55243i | 0.733411 | + | 0.410199i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.59212 | − | 1.67140i | 0.523321 | − | 0.190473i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.59696 | + | 9.05683i | 0.179672 | + | 1.01897i | 0.932611 | + | 0.360883i | \(0.117524\pi\) |
−0.752939 | + | 0.658091i | \(0.771364\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −8.27678 | + | 3.53482i | −0.919642 | + | 0.392757i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.64348 | + | 14.9919i | 0.290159 | + | 1.64557i | 0.686252 | + | 0.727364i | \(0.259255\pi\) |
−0.396093 | + | 0.918211i | \(0.629634\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.307480 | + | 0.111914i | −0.0333509 | + | 0.0121387i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −5.62884 | − | 3.14823i | −0.603475 | − | 0.337526i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.494525 | + | 0.856542i | 0.0524195 | + | 0.0907932i | 0.891045 | − | 0.453916i | \(-0.149973\pi\) |
−0.838625 | + | 0.544709i | \(0.816640\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.29722 | − | 3.97890i | 0.240814 | − | 0.417102i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.367645 | + | 1.05464i | −0.0381230 | + | 0.109361i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.499674 | + | 2.83379i | −0.0512655 | + | 0.290741i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.75088 | − | 2.30827i | 0.279310 | − | 0.234369i | −0.492361 | − | 0.870391i | \(-0.663866\pi\) |
0.771671 | + | 0.636022i | \(0.219421\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −11.4835 | − | 9.11374i | −1.15413 | − | 0.915966i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −8.55236 | − | 3.11281i | −0.850992 | − | 0.309736i | −0.120547 | − | 0.992708i | \(-0.538465\pi\) |
−0.730445 | + | 0.682972i | \(0.760687\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 9.16078 | + | 7.68681i | 0.902639 | + | 0.757404i | 0.970704 | − | 0.240277i | \(-0.0772383\pi\) |
−0.0680656 | + | 0.997681i | \(0.521683\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.52761 | − | 0.247923i | −0.149079 | − | 0.0241948i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 9.64254 | 0.932179 | 0.466090 | − | 0.884738i | \(-0.345662\pi\) | ||||
0.466090 | + | 0.884738i | \(0.345662\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −19.2881 | −1.84746 | −0.923731 | − | 0.383043i | \(-0.874876\pi\) | ||||
−0.923731 | + | 0.383043i | \(0.874876\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.141809 | + | 0.373677i | 0.0134599 | + | 0.0354678i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 6.24442 | + | 5.23969i | 0.587426 | + | 0.492909i | 0.887376 | − | 0.461046i | \(-0.152526\pi\) |
−0.299950 | + | 0.953955i | \(0.596970\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.09187 | + | 0.761378i | 0.195068 | + | 0.0709988i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −13.7782 | + | 0.375976i | −1.27379 | + | 0.0347590i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.280536 | + | 0.235398i | −0.0257167 | + | 0.0215789i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.23679 | − | 12.6855i | 0.203345 | − | 1.15322i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −8.46677 | − | 9.81524i | −0.763423 | − | 0.885010i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 4.11086 | − | 7.12021i | 0.367686 | − | 0.636851i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.46371 | − | 16.3916i | −0.839768 | − | 1.45452i | −0.890088 | − | 0.455788i | \(-0.849358\pi\) |
0.0503203 | − | 0.998733i | \(-0.483976\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.00245954 | − | 0.180300i | −0.000216550 | − | 0.0158745i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −6.95629 | + | 2.53188i | −0.607774 | + | 0.221212i | −0.627529 | − | 0.778593i | \(-0.715934\pi\) |
0.0197551 | + | 0.999805i | \(0.493711\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.559230 | + | 3.17155i | 0.0484914 | + | 0.275008i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.76508 | + | 4.29418i | 0.151914 | + | 0.369584i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −1.72887 | − | 9.80490i | −0.147707 | − | 0.837689i | −0.965154 | − | 0.261684i | \(-0.915722\pi\) |
0.817446 | − | 0.576005i | \(-0.195389\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.90118 | + | 1.05594i | −0.246075 | + | 0.0895638i | −0.462113 | − | 0.886821i | \(-0.652909\pi\) |
0.216038 | + | 0.976385i | \(0.430686\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −15.9548 | + | 9.50402i | −1.34364 | + | 0.800383i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −11.2261 | − | 19.4442i | −0.938776 | − | 1.62601i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.66352 | + | 2.88130i | −0.138148 | + | 0.239279i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.70148 | + | 0.324006i | −0.140335 | + | 0.0267236i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1.51053 | + | 8.56662i | −0.123747 | + | 0.701804i | 0.858297 | + | 0.513153i | \(0.171523\pi\) |
−0.982044 | + | 0.188651i | \(0.939588\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.05506 | − | 4.24170i | 0.411375 | − | 0.345184i | −0.413496 | − | 0.910506i | \(-0.635692\pi\) |
0.824871 | + | 0.565322i | \(0.191248\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.04225 | + | 0.347457i | 0.0842610 | + | 0.0280902i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.541414 | + | 0.197059i | 0.0434874 | + | 0.0158281i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.26888 | − | 4.42112i | −0.420503 | − | 0.352844i | 0.407852 | − | 0.913048i | \(-0.366278\pi\) |
−0.828354 | + | 0.560205i | \(0.810722\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −2.08812 | + | 2.55861i | −0.165599 | + | 0.202911i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.49145 | 0.196354 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −23.0056 | −1.80194 | −0.900970 | − | 0.433880i | \(-0.857144\pi\) | ||||
−0.900970 | + | 0.433880i | \(0.857144\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −4.78183 | + | 5.85924i | −0.372265 | + | 0.456141i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 7.57034 | + | 6.35227i | 0.585810 | + | 0.491553i | 0.886849 | − | 0.462059i | \(-0.152889\pi\) |
−0.301039 | + | 0.953612i | \(0.597333\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.61984 | − | 2.77339i | −0.586141 | − | 0.213338i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 7.22893 | − | 6.40982i | 0.552810 | − | 0.490171i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 9.24217 | − | 7.75510i | 0.702669 | − | 0.589609i | −0.219863 | − | 0.975531i | \(-0.570561\pi\) |
0.922532 | + | 0.385922i | \(0.126116\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.729609 | − | 4.13782i | 0.0551532 | − | 0.312790i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.575102 | + | 0.109515i | −0.0432273 | + | 0.00823162i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −10.3782 | + | 17.9755i | −0.775701 | + | 1.34355i | 0.158699 | + | 0.987327i | \(0.449270\pi\) |
−0.934400 | + | 0.356226i | \(0.884063\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.71372 | − | 15.0926i | −0.647686 | − | 1.12183i | −0.983674 | − | 0.179959i | \(-0.942404\pi\) |
0.335988 | − | 0.941866i | \(-0.390930\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 5.96533 | − | 3.55345i | 0.440970 | − | 0.262678i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.193747 | − | 0.0705180i | 0.0142445 | − | 0.00518459i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.310765 | + | 1.76244i | 0.0227254 | + | 0.128882i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 3.50007 | + | 3.84051i | 0.254593 | + | 0.279356i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −0.367613 | − | 2.08484i | −0.0265995 | − | 0.150854i | 0.968615 | − | 0.248565i | \(-0.0799589\pi\) |
−0.995215 | + | 0.0977113i | \(0.968848\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 19.1792 | − | 6.98065i | 1.38055 | − | 0.502478i | 0.458203 | − | 0.888848i | \(-0.348493\pi\) |
0.922344 | + | 0.386369i | \(0.126271\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.0969855 | + | 7.10967i | 0.00694528 | + | 0.509134i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −6.45038 | − | 11.1724i | −0.459571 | − | 0.796000i | 0.539367 | − | 0.842070i | \(-0.318663\pi\) |
−0.998938 | + | 0.0460707i | \(0.985330\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.04634 | + | 3.54437i | −0.145061 | + | 0.251254i | −0.929396 | − | 0.369085i | \(-0.879671\pi\) |
0.784335 | + | 0.620338i | \(0.213005\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 14.4629 | + | 16.7663i | 1.02013 | + | 1.18260i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.646594 | + | 3.66701i | −0.0453820 | + | 0.257374i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.12244 | + | 4.29824i | −0.357767 | + | 0.300202i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −3.91235 | − | 6.36862i | −0.271927 | − | 0.442650i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 14.7888 | + | 5.38269i | 1.02296 | + | 0.372329i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −16.8246 | − | 14.1175i | −1.15825 | − | 0.971888i | −0.158371 | − | 0.987380i | \(-0.550624\pi\) |
−0.999880 | + | 0.0154918i | \(0.995069\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.11483 | + | 8.20781i | 0.213425 | + | 0.562390i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.0930191 | −0.00634385 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.644833 | 0.0437741 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 12.9947 | + | 2.10898i | 0.878102 | + | 0.142512i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.28891 | + | 1.08152i | 0.0867011 | + | 0.0727509i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 13.8829 | + | 5.05298i | 0.929671 | + | 0.338373i | 0.762079 | − | 0.647484i | \(-0.224179\pi\) |
0.167592 | + | 0.985856i | \(0.446401\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −11.7228 | + | 4.63264i | −0.781518 | + | 0.308843i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 3.19139 | − | 2.67790i | 0.211820 | − | 0.177738i | −0.530705 | − | 0.847557i | \(-0.678073\pi\) |
0.742525 | + | 0.669819i | \(0.233628\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.523436 | + | 2.96856i | −0.0345896 | + | 0.196168i | −0.997206 | − | 0.0747010i | \(-0.976200\pi\) |
0.962616 | + | 0.270869i | \(0.0873109\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.78618 | + | 7.99254i | −0.183317 | + | 0.525870i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −6.20626 | + | 10.7496i | −0.406586 | + | 0.704227i | −0.994505 | − | 0.104693i | \(-0.966614\pi\) |
0.587919 | + | 0.808920i | \(0.299947\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.79007 | + | 8.29665i | 0.312470 | + | 0.541214i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −13.9022 | − | 7.77554i | −0.903043 | − | 0.505076i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −25.7195 | + | 9.36113i | −1.66366 | + | 0.605521i | −0.990931 | − | 0.134372i | \(-0.957098\pi\) |
−0.672724 | + | 0.739893i | \(0.734876\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.60781 | + | 20.4609i | 0.232400 | + | 1.31800i | 0.848021 | + | 0.529962i | \(0.177794\pi\) |
−0.615622 | + | 0.788042i | \(0.711095\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 4.32089 | − | 14.9776i | 0.277185 | − | 0.960816i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.155155 | + | 0.879930i | 0.00991251 | + | 0.0562167i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 13.9040 | − | 5.06063i | 0.884688 | − | 0.322000i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −23.0125 | − | 12.8710i | −1.45836 | − | 0.815664i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −10.7425 | − | 18.6066i | −0.678063 | − | 1.17444i | −0.975563 | − | 0.219718i | \(-0.929486\pi\) |
0.297500 | − | 0.954722i | \(-0.403847\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.08765 | − | 10.5441i | 0.382727 | − | 0.662903i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.186558 | − | 0.535166i | 0.0116827 | − | 0.0335134i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −4.62621 | + | 26.2366i | −0.288575 | + | 1.63659i | 0.403652 | + | 0.914913i | \(0.367741\pi\) |
−0.692227 | + | 0.721680i | \(0.743370\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.176769 | − | 0.148327i | 0.0109839 | − | 0.00921657i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 10.3889 | − | 4.10554i | 0.643060 | − | 0.254126i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 21.3070 | + | 7.75513i | 1.31385 | + | 0.478202i | 0.901482 | − | 0.432816i | \(-0.142480\pi\) |
0.412367 | + | 0.911018i | \(0.364702\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.30508 | + | 1.09509i | 0.0801704 | + | 0.0672710i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.69096 | − | 0.274435i | −0.103485 | − | 0.0167951i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −15.8273 | −0.965008 | −0.482504 | − | 0.875894i | \(-0.660273\pi\) | ||||
−0.482504 | + | 0.875894i | \(0.660273\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 28.9400 | 1.75798 | 0.878991 | − | 0.476838i | \(-0.158217\pi\) | ||||
0.878991 | + | 0.476838i | \(0.158217\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.82347 | + | 7.44007i | 0.170884 | + | 0.450293i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −15.7290 | − | 13.1982i | −0.948495 | − | 0.795882i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.12579 | − | 3.32151i | −0.548315 | − | 0.199570i | 0.0529825 | − | 0.998595i | \(-0.483127\pi\) |
−0.601298 | + | 0.799025i | \(0.705349\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −1.01259 | − | 1.64832i | −0.0606221 | − | 0.0986822i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.99350 | − | 4.19004i | 0.297887 | − | 0.249957i | −0.481577 | − | 0.876404i | \(-0.659936\pi\) |
0.779464 | + | 0.626447i | \(0.215491\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.93380 | + | 22.3097i | −0.233840 | + | 1.32617i | 0.611203 | + | 0.791474i | \(0.290686\pi\) |
−0.845043 | + | 0.534699i | \(0.820425\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −3.25543 | − | 3.77391i | −0.192835 | − | 0.223547i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −3.74194 | + | 6.48123i | −0.220880 | + | 0.382575i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.43294 | + | 14.6063i | 0.496056 | + | 0.859193i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.0848391 | + | 6.21926i | 0.00497335 | + | 0.364579i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 18.7881 | − | 6.83831i | 1.09761 | − | 0.399498i | 0.271177 | − | 0.962530i | \(-0.412587\pi\) |
0.826435 | + | 0.563032i | \(0.190365\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.0524428 | + | 0.297418i | 0.00305334 | + | 0.0173164i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 24.8056 | − | 5.42875i | 1.43937 | − | 0.315008i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −1.98772 | − | 11.2729i | −0.114953 | − | 0.651929i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.0978276 | + | 0.0356063i | −0.00563869 | + | 0.00205231i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 13.5431 | − | 8.06738i | 0.778029 | − | 0.463459i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −1.79095 | − | 3.10202i | −0.102550 | − | 0.177621i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −9.63126 | + | 16.6818i | −0.549685 | + | 0.952082i | 0.448611 | + | 0.893727i | \(0.351919\pi\) |
−0.998296 | + | 0.0583551i | \(0.981414\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −20.3472 | + | 3.87464i | −1.15751 | + | 0.220421i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 2.48922 | − | 14.1171i | 0.141151 | − | 0.800506i | −0.829227 | − | 0.558912i | \(-0.811219\pi\) |
0.970378 | − | 0.241593i | \(-0.0776700\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.61141 | + | 2.19124i | −0.147606 | + | 0.123856i | −0.713600 | − | 0.700553i | \(-0.752937\pi\) |
0.565995 | + | 0.824409i | \(0.308492\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.00563 | − | 1.77837i | 0.113004 | − | 0.100200i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 23.4017 | + | 8.51753i | 1.31437 | + | 0.478392i | 0.901651 | − | 0.432465i | \(-0.142356\pi\) |
0.412721 | + | 0.910857i | \(0.364578\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 13.9394 | + | 11.6965i | 0.780454 | + | 0.654879i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −10.5599 | + | 12.9392i | −0.589397 | + | 0.722197i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.17938 | −0.0656226 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −19.3042 | −1.07081 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 21.1231 | − | 25.8825i | 1.16811 | − | 1.43130i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 8.21352 | + | 6.89196i | 0.452826 | + | 0.379966i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 23.5699 | + | 8.57873i | 1.29552 | + | 0.471530i | 0.895534 | − | 0.444993i | \(-0.146794\pi\) |
0.399983 | + | 0.916523i | \(0.369016\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.656734 | − | 0.218936i | −0.0359888 | − | 0.0119976i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 8.75011 | − | 7.34221i | 0.478069 | − | 0.401148i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.24634 | − | 24.0822i | 0.231313 | − | 1.31184i | −0.618928 | − | 0.785448i | \(-0.712433\pi\) |
0.850241 | − | 0.526394i | \(-0.176456\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −13.8696 | + | 2.64114i | −0.753294 | + | 0.143447i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.57560 | − | 2.72901i | 0.0853233 | − | 0.147784i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.500000 | + | 0.866025i | 0.0269975 | + | 0.0467610i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −3.31257 | + | 1.97324i | −0.178343 | + | 0.106236i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −10.4157 | + | 3.79102i | −0.559146 | + | 0.203513i | −0.606106 | − | 0.795384i | \(-0.707269\pi\) |
0.0469593 | + | 0.998897i | \(0.485047\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.03178 | + | 22.8653i | 0.215816 | + | 1.22395i | 0.879485 | + | 0.475927i | \(0.157887\pi\) |
−0.663669 | + | 0.748027i | \(0.731001\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 14.5845 | − | 18.9006i | 0.778464 | − | 1.00884i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −4.22962 | − | 23.9873i | −0.225120 | − | 1.27672i | −0.862456 | − | 0.506132i | \(-0.831075\pi\) |
0.637336 | − | 0.770586i | \(-0.280036\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.25564 | − | 1.54893i | 0.225866 | − | 0.0822085i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.00865192 | − | 0.634242i | −0.000457908 | − | 0.0335676i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −10.3164 | − | 17.8686i | −0.544481 | − | 0.943068i | −0.998639 | − | 0.0521473i | \(-0.983393\pi\) |
0.454159 | − | 0.890921i | \(-0.349940\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.31427 | − | 7.47253i | 0.227067 | − | 0.393291i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 14.5729 | + | 16.8939i | 0.764880 | + | 0.886699i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1.17929 | − | 6.68806i | 0.0617266 | − | 0.350069i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −22.4003 | + | 18.7961i | −1.16929 | + | 0.981147i | −0.999990 | − | 0.00441800i | \(-0.998594\pi\) |
−0.169296 | + | 0.985565i | \(0.554149\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 22.4433 | − | 0.612427i | 1.16835 | − | 0.0318817i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.79173 | + | 0.652136i | 0.0930219 | + | 0.0338572i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.40076 | − | 1.17538i | −0.0725286 | − | 0.0608587i | 0.605803 | − | 0.795615i | \(-0.292852\pi\) |
−0.678331 | + | 0.734756i | \(0.737297\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 5.05259 | + | 13.3139i | 0.260914 | + | 0.687529i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 17.1078 | 0.881095 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −12.2289 | −0.628154 | −0.314077 | − | 0.949397i | \(-0.601695\pi\) | ||||
−0.314077 | + | 0.949397i | \(0.601695\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 32.3598 | + | 5.25185i | 1.65784 | + | 0.269060i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −19.4030 | − | 16.2810i | −0.991446 | − | 0.831922i | −0.00566936 | − | 0.999984i | \(-0.501805\pi\) |
−0.985776 | + | 0.168062i | \(0.946249\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.10308 | + | 1.49340i | 0.209112 | + | 0.0761107i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.244636 | + | 0.194153i | 0.0124356 | + | 0.00986936i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −0.0175934 | + | 0.0147626i | −0.000892020 | + | 0.000748494i | −0.643234 | − | 0.765670i | \(-0.722408\pi\) |
0.642341 | + | 0.766419i | \(0.277963\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.158437 | + | 0.898541i | −0.00801250 | + | 0.0454412i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 4.22060 | − | 12.1073i | 0.212901 | − | 0.610735i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −4.10858 | + | 7.11626i | −0.206725 | + | 0.358058i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −15.5858 | − | 26.9954i | −0.782229 | − | 1.35486i | −0.930640 | − | 0.365935i | \(-0.880749\pi\) |
0.148411 | − | 0.988926i | \(-0.452584\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −4.86831 | − | 2.72286i | −0.243720 | − | 0.136314i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −28.6759 | + | 10.4372i | −1.43201 | + | 0.521207i | −0.937506 | − | 0.347970i | \(-0.886871\pi\) |
−0.494500 | + | 0.869178i | \(0.664649\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.514458 | − | 2.91764i | −0.0256270 | − | 0.145338i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −7.69532 | − | 2.33418i | −0.382384 | − | 0.115986i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.195817 | − | 1.11053i | −0.00970628 | − | 0.0550470i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.33268 | − | 0.485054i | 0.0658966 | − | 0.0239844i | −0.308862 | − | 0.951107i | \(-0.599948\pi\) |
0.374758 | + | 0.927123i | \(0.377726\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 15.0505 | + | 8.41778i | 0.742384 | + | 0.415218i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.169001 | + | 0.292718i | 0.00831600 | + | 0.0144037i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −6.80098 | + | 11.7797i | −0.333847 | + | 0.578240i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 1.76023 | − | 5.04946i | 0.0861990 | − | 0.247273i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −3.10293 | + | 17.5976i | −0.151588 | + | 0.859698i | 0.810251 | + | 0.586083i | \(0.199331\pi\) |
−0.961839 | + | 0.273616i | \(0.911780\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.03487 | − | 4.22476i | 0.245384 | − | 0.205902i | −0.511797 | − | 0.859106i | \(-0.671020\pi\) |
0.757182 | + | 0.653204i | \(0.226576\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 4.71940 | − | 31.8179i | 0.229465 | − | 1.54704i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.44591 | + | 0.526267i | 0.0701368 | + | 0.0255277i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.07094 | − | 2.57683i | −0.148613 | − | 0.124701i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 38.3862 | + | 6.22990i | 1.85330 | + | 0.300782i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 19.1386 | 0.921874 | 0.460937 | − | 0.887433i | \(-0.347513\pi\) | ||||
0.460937 | + | 0.887433i | \(0.347513\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −9.28393 | −0.446157 | −0.223079 | − | 0.974800i | \(-0.571611\pi\) | ||||
−0.223079 | + | 0.974800i | \(0.571611\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.04460 | − | 5.38768i | −0.0980312 | − | 0.258320i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 6.14647 | + | 5.15750i | 0.294026 | + | 0.246717i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.65772 | + | 1.69527i | 0.222301 | + | 0.0809110i | 0.450770 | − | 0.892640i | \(-0.351150\pi\) |
−0.228469 | + | 0.973551i | \(0.573372\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.42857 | − | 2.63803i | 0.0680273 | − | 0.125620i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −18.2983 | + | 15.3541i | −0.869378 | + | 0.729495i | −0.963967 | − | 0.266021i | \(-0.914291\pi\) |
0.0945887 | + | 0.995516i | \(0.469846\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.153456 | + | 0.870294i | −0.00727453 | + | 0.0412559i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −9.84122 | − | 11.4086i | −0.465474 | − | 0.539608i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −7.08811 | + | 12.2770i | −0.334509 | + | 0.579386i | −0.983390 | − | 0.181503i | \(-0.941904\pi\) |
0.648882 | + | 0.760889i | \(0.275237\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 18.2862 | + | 31.6727i | 0.861065 | + | 1.49141i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.155901 | + | 11.4286i | 0.00732488 | + | 0.536961i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 3.85758 | − | 1.40404i | 0.180846 | − | 0.0658226i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.76033 | + | 38.3398i | 0.316235 | + | 1.79346i | 0.565209 | + | 0.824948i | \(0.308796\pi\) |
−0.248974 | + | 0.968510i | \(0.580093\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −1.60766 | + | 1.01807i | −0.0750390 | + | 0.0475196i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 4.06095 | + | 23.0308i | 0.189137 | + | 1.07265i | 0.920523 | + | 0.390687i | \(0.127763\pi\) |
−0.731386 | + | 0.681964i | \(0.761126\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 11.4486 | − | 4.16697i | 0.532064 | − | 0.193655i | −0.0619958 | − | 0.998076i | \(-0.519747\pi\) |
0.594060 | + | 0.804421i | \(0.297524\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.857355 | + | 0.510712i | −0.0397589 | + | 0.0236837i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −9.28256 | − | 16.0779i | −0.429546 | − | 0.743995i | 0.567287 | − | 0.823520i | \(-0.307993\pi\) |
−0.996833 | + | 0.0795252i | \(0.974660\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.39194 | − | 11.0712i | 0.295152 | − | 0.511219i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 11.7028 | − | 2.22852i | 0.539237 | − | 0.102685i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.0883433 | + | 0.501019i | −0.00406203 | + | 0.0230369i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 10.3656 | − | 8.69776i | 0.475606 | − | 0.399081i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.14659 | − | 5.60406i | −0.0524986 | − | 0.256592i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −29.2799 | − | 10.6570i | −1.33783 | − | 0.486932i | −0.428704 | − | 0.903445i | \(-0.641030\pi\) |
−0.909130 | + | 0.416513i | \(0.863252\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.812154 | − | 0.681478i | −0.0370310 | − | 0.0310727i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −2.72848 | + | 3.34325i | −0.124150 | + | 0.152123i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 3.20859 | 0.145695 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 9.73155 | 0.440979 | 0.220489 | − | 0.975389i | \(-0.429235\pi\) | ||||
0.220489 | + | 0.975389i | \(0.429235\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 25.1944 | − | 30.8711i | 1.13933 | − | 1.39604i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 5.56165 | + | 4.66678i | 0.250994 | + | 0.210609i | 0.759600 | − | 0.650390i | \(-0.225395\pi\) |
−0.508606 | + | 0.860999i | \(0.669839\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.28139 | − | 0.466388i | −0.0577109 | − | 0.0210051i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −2.62570 | − | 12.8334i | −0.118016 | − | 0.576817i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 3.88273 | − | 3.25799i | 0.174164 | − | 0.146141i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.60440 | + | 14.7703i | −0.116589 | + | 0.661209i | 0.869362 | + | 0.494175i | \(0.164530\pi\) |
−0.985951 | + | 0.167033i | \(0.946581\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −16.8146 | + | 3.20195i | −0.751222 | + | 0.143052i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −4.47554 | + | 7.75187i | −0.199555 | + | 0.345639i | −0.948384 | − | 0.317124i | \(-0.897283\pi\) |
0.748830 | + | 0.662763i | \(0.230616\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −4.06600 | − | 7.04251i | −0.180934 | − | 0.313388i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 12.0664 | − | 7.18774i | 0.535886 | − | 0.319219i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 30.3798 | − | 11.0574i | 1.34656 | − | 0.490109i | 0.434689 | − | 0.900581i | \(-0.356858\pi\) |
0.911873 | + | 0.410472i | \(0.134636\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.31984 | − | 7.48520i | −0.0583864 | − | 0.331126i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.684593 | + | 16.7201i | 0.0302255 | + | 0.738209i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.85543 | + | 10.5227i | 0.0817602 | + | 0.463685i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 49.2367 | − | 17.9207i | 2.16543 | − | 0.788151i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.285035 | + | 20.8949i | 0.0125116 | + | 0.917184i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −18.9455 | − | 32.8147i | −0.830020 | − | 1.43764i | −0.898022 | − | 0.439951i | \(-0.854996\pi\) |
0.0680022 | − | 0.997685i | \(-0.478338\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −19.9422 | + | 34.5410i | −0.872013 | + | 1.51037i | −0.0121022 | + | 0.999927i | \(0.503852\pi\) |
−0.859911 | + | 0.510444i | \(0.829481\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 4.75347 | + | 5.51054i | 0.207459 | + | 0.240500i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.0410064 | + | 0.232559i | −0.00178627 | + | 0.0101304i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −12.8639 | + | 10.7941i | −0.559302 | + | 0.469310i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.482860 | − | 0.891658i | 0.0209544 | − | 0.0386947i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 32.3106 | + | 11.7601i | 1.39953 | + | 0.509386i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.59997 | + | 5.53803i | 0.285342 | + | 0.239430i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −12.7556 | − | 33.6121i | −0.550446 | − | 1.45047i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 4.88684 | 0.210491 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −23.3943 | −1.00580 | −0.502900 | − | 0.864345i | \(-0.667733\pi\) | ||||
−0.502900 | + | 0.864345i | \(0.667733\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 29.7954 | + | 4.83565i | 1.27864 | + | 0.207518i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −13.2020 | − | 11.0778i | −0.565511 | − | 0.474520i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 26.2630 | + | 9.55894i | 1.12292 | + | 0.408711i | 0.835718 | − | 0.549159i | \(-0.185052\pi\) |
0.287205 | + | 0.957869i | \(0.407274\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −1.76453 | + | 11.8963i | −0.0753083 | + | 0.507723i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −9.18619 | + | 7.70813i | −0.391345 | + | 0.328377i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.59696 | + | 9.05683i | −0.0679098 | + | 0.385136i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.117552 | + | 0.337214i | −0.00498981 | + | 0.0143139i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −0.909289 | + | 1.57494i | −0.0385278 | + | 0.0667321i | −0.884646 | − | 0.466263i | \(-0.845600\pi\) |
0.846118 | + | 0.532995i | \(0.178933\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.239154 | + | 0.414227i | 0.0101151 | + | 0.0175199i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.70533 | − | 1.51310i | −0.114219 | − | 0.0638832i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −37.1978 | + | 13.5389i | −1.56770 | + | 0.570597i | −0.972484 | − | 0.232968i | \(-0.925156\pi\) |
−0.595218 | + | 0.803565i | \(0.702934\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.26475 | + | 7.17276i | 0.0532085 | + | 0.301760i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −8.98661 | + | 0.490815i | −0.377402 | + | 0.0206123i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −0.442120 | − | 2.50739i | −0.0185346 | − | 0.105115i | 0.974137 | − | 0.225958i | \(-0.0725513\pi\) |
−0.992672 | + | 0.120843i | \(0.961440\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −26.8650 | + | 9.77804i | −1.12426 | + | 0.409198i | −0.836206 | − | 0.548415i | \(-0.815231\pi\) |
−0.288057 | + | 0.957613i | \(0.593009\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.20021 | + | 1.78989i | 0.133691 | + | 0.0747737i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −5.23410 | − | 9.06572i | −0.218277 | − | 0.378067i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.49478 | − | 2.58903i | 0.0622283 | − | 0.107783i | −0.833233 | − | 0.552922i | \(-0.813513\pi\) |
0.895461 | + | 0.445140i | \(0.146846\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −11.6366 | + | 33.3811i | −0.483601 | + | 1.38727i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −2.64348 | + | 14.9919i | −0.109670 | + | 0.621969i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.13786 | − | 5.98938i | 0.295620 | − | 0.248055i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −9.64661 | − | 7.65593i | −0.398838 | − | 0.316534i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −36.7883 | − | 13.3898i | −1.51842 | − | 0.552658i | −0.557664 | − | 0.830067i | \(-0.688302\pi\) |
−0.960752 | + | 0.277409i | \(0.910524\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.59082 | + | 1.33486i | 0.0655486 | + | 0.0550018i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 22.0562 | + | 3.57961i | 0.907270 | + | 0.147246i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −14.8845 | −0.611231 | −0.305616 | − | 0.952155i | \(-0.598862\pi\) | ||||
−0.305616 | + | 0.952155i | \(0.598862\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.327214 | −0.0134144 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −2.51512 | − | 6.62754i | −0.102937 | − | 0.271247i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 32.3935 | + | 27.1814i | 1.32356 | + | 1.11060i | 0.985536 | + | 0.169467i | \(0.0542045\pi\) |
0.338029 | + | 0.941136i | \(0.390240\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.10740 | − | 1.13100i | −0.126753 | − | 0.0461344i | 0.277865 | − | 0.960620i | \(-0.410373\pi\) |
−0.404618 | + | 0.914486i | \(0.632596\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −38.3374 | + | 1.04614i | −1.56122 | + | 0.0426022i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 8.81669 | − | 7.39809i | 0.358450 | − | 0.300775i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.95958 | + | 16.7846i | −0.120126 | + | 0.681267i | 0.863958 | + | 0.503563i | \(0.167978\pi\) |
−0.984084 | + | 0.177704i | \(0.943133\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −4.21262 | − | 4.88355i | −0.170704 | − | 0.197891i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 24.6308 | − | 42.6617i | 0.996454 | − | 1.72591i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −12.7310 | − | 22.0507i | −0.514200 | − | 0.890620i | −0.999864 | − | 0.0164750i | \(-0.994756\pi\) |
0.485664 | − | 0.874145i | \(-0.338578\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −0.157980 | − | 11.5809i | −0.00637035 | − | 0.466988i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −6.67657 | + | 2.43007i | −0.268789 | + | 0.0978311i | −0.472899 | − | 0.881117i | \(-0.656792\pi\) |
0.204110 | + | 0.978948i | \(0.434570\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.151804 | + | 0.860921i | 0.00610151 | + | 0.0346034i | 0.987707 | − | 0.156320i | \(-0.0499630\pi\) |
−0.981605 | + | 0.190923i | \(0.938852\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 12.8306 | + | 1.72458i | 0.514873 | + | 0.0692052i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0.171747 | + | 0.974023i | 0.00688088 | + | 0.0390234i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −12.8382 | + | 4.67272i | −0.513527 | + | 0.186909i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −23.4188 | + | 13.9502i | −0.935257 | + | 0.557117i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0.0422529 | + | 0.0731842i | 0.00168473 | + | 0.00291804i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.1990 | + | 24.5933i | −0.565252 | + | 0.979045i | 0.431774 | + | 0.901982i | \(0.357888\pi\) |
−0.997026 | + | 0.0770637i | \(0.975446\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 37.3694 | − | 7.11611i | 1.48530 | − | 0.282840i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 2.93669 | − | 16.6548i | 0.116539 | − | 0.660925i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.51954 | − | 2.95325i | 0.139449 | − | 0.117012i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −14.4251 | − | 4.80893i | −0.570650 | − | 0.190238i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −28.3863 | − | 10.3318i | −1.12119 | − | 0.408080i | −0.286104 | − | 0.958199i | \(-0.592360\pi\) |
−0.835086 | + | 0.550119i | \(0.814582\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.735073 | − | 0.616800i | −0.0289885 | − | 0.0243242i | 0.628178 | − | 0.778069i | \(-0.283801\pi\) |
−0.657167 | + | 0.753745i | \(0.728245\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.101869 | − | 0.124821i | 0.00401108 | − | 0.00491484i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −14.9346 | −0.587139 | −0.293570 | − | 0.955938i | \(-0.594843\pi\) | ||||
−0.293570 | + | 0.955938i | \(0.594843\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.65176 | 0.0648373 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.706182 | + | 0.865295i | −0.0276774 | + | 0.0339136i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −28.7934 | − | 24.1605i | −1.12677 | − | 0.945474i | −0.127845 | − | 0.991794i | \(-0.540806\pi\) |
−0.998927 | + | 0.0463201i | \(0.985251\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −6.21547 | − | 2.26225i | −0.242859 | − | 0.0883933i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −17.0611 | + | 15.1279i | −0.665615 | + | 0.590194i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −10.0088 | + | 8.39836i | −0.389887 | + | 0.327154i | −0.816569 | − | 0.577248i | \(-0.804127\pi\) |
0.426682 | + | 0.904401i | \(0.359682\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.64676 | + | 43.3669i | −0.297425 | + | 1.68678i | 0.359757 | + | 0.933046i | \(0.382860\pi\) |
−0.657182 | + | 0.753732i | \(0.728252\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −2.86281 | + | 0.545155i | −0.111182 | + | 0.0211721i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −1.43875 | + | 2.49200i | −0.0557925 | + | 0.0966355i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.63856 | + | 8.03422i | 0.179606 | + | 0.311086i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −21.9843 | + | 13.0957i | −0.849962 | + | 0.506308i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −18.4090 | + | 6.70034i | −0.710673 | + | 0.258664i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.336965 | − | 1.91102i | −0.0129891 | − | 0.0736646i | 0.977624 | − | 0.210359i | \(-0.0674633\pi\) |
−0.990613 | + | 0.136694i | \(0.956352\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 6.62157 | − | 20.8041i | 0.254864 | − | 0.800749i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −5.65333 | − | 32.0617i | −0.217275 | − | 1.23223i | −0.876914 | − | 0.480647i | \(-0.840402\pi\) |
0.659639 | − | 0.751583i | \(-0.270709\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.37446 | − | 1.22820i | 0.129500 | − | 0.0471341i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.0984246 | + | 7.21517i | 0.00377164 | + | 0.276486i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −8.97980 | − | 15.5535i | −0.343602 | − | 0.595137i | 0.641496 | − | 0.767126i | \(-0.278314\pi\) |
−0.985099 | + | 0.171989i | \(0.944981\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 4.44793 | − | 7.70405i | 0.169947 | − | 0.294357i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −3.41024 | − | 3.95338i | −0.130109 | − | 0.150831i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.52121 | − | 8.62721i | 0.0579535 | − | 0.328670i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.9979 | + | 19.2976i | −0.874883 | + | 0.734114i | −0.965120 | − | 0.261807i | \(-0.915682\pi\) |
0.0902377 | + | 0.995920i | \(0.471237\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −7.67385 | − | 12.4917i | −0.291506 | − | 0.474520i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −2.59221 | − | 0.943489i | −0.0983283 | − | 0.0357886i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.09950 | − | 1.76169i | −0.0795241 | − | 0.0667286i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −7.62802 | − | 20.1004i | −0.288518 | − | 0.760267i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 38.7016 | 1.46174 | 0.730869 | − | 0.682518i | \(-0.239115\pi\) | ||||
0.730869 | + | 0.682518i | \(0.239115\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.743142 | 0.0280281 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −16.3790 | − | 2.65823i | −0.616868 | − | 0.100115i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −6.97195 | − | 5.85016i | −0.262207 | − | 0.220018i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 14.9715 | + | 5.44919i | 0.562267 | + | 0.204648i | 0.607488 | − | 0.794329i | \(-0.292177\pi\) |
−0.0452214 | + | 0.998977i | \(0.514399\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 25.6587 | − | 10.1399i | 0.962278 | − | 0.380276i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1.23070 | − | 1.03268i | 0.0460901 | − | 0.0386742i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.48359 | − | 19.7564i | 0.130279 | − | 0.738848i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 15.6048 | − | 44.7645i | 0.582772 | − | 1.67176i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −23.9026 | + | 41.4005i | −0.891417 | + | 1.54398i | −0.0532387 | + | 0.998582i | \(0.516954\pi\) |
−0.838178 | + | 0.545397i | \(0.816379\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.97928 | + | 10.3564i | 0.222680 | + | 0.385693i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −31.4074 | − | 17.5663i | −1.16805 | − | 0.653297i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 14.7017 | − | 5.35097i | 0.546007 | − | 0.198730i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −7.61418 | − | 43.1821i | −0.282394 | − | 1.60154i | −0.714448 | − | 0.699689i | \(-0.753322\pi\) |
0.432053 | − | 0.901848i | \(-0.357789\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 15.3664 | + | 22.2008i | 0.569125 | + | 0.822251i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.00662034 | − | 0.0375458i | −0.000244862 | − | 0.00138868i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −9.80719 | + | 3.56953i | −0.362237 | + | 0.131843i | −0.516725 | − | 0.856151i | \(-0.672849\pi\) |
0.154489 | + | 0.987995i | \(0.450627\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1.35069 | − | 0.755444i | −0.0498208 | − | 0.0278650i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −31.2364 | − | 54.1030i | −1.15061 | − | 1.99291i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 22.4731 | − | 38.9246i | 0.826686 | − | 1.43186i | −0.0739372 | − | 0.997263i | \(-0.523556\pi\) |
0.900624 | − | 0.434600i | \(-0.143110\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −8.43596 | + | 24.1997i | −0.309903 | + | 0.888997i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.39131 | − | 7.89049i | 0.0510421 | − | 0.289474i | −0.948593 | − | 0.316500i | \(-0.897492\pi\) |
0.999635 | + | 0.0270255i | \(0.00860352\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.95399 | + | 4.99599i | −0.218137 | + | 0.183039i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 42.4733 | − | 16.7847i | 1.55402 | − | 0.614120i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 9.06102 | + | 3.29794i | 0.331082 | + | 0.120504i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −22.2618 | − | 18.6798i | −0.812344 | − | 0.681637i | 0.138822 | − | 0.990317i | \(-0.455668\pi\) |
−0.951166 | + | 0.308680i | \(0.900113\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 36.7326 | + | 5.96153i | 1.33861 | + | 0.217250i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 5.89615 | 0.214583 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 34.1940 | 1.24280 | 0.621401 | − | 0.783493i | \(-0.286564\pi\) | ||||
0.621401 | + | 0.783493i | \(0.286564\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 7.48223 | + | 19.7162i | 0.271588 | + | 0.715654i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 30.8097 | + | 25.8524i | 1.11685 | + | 0.937148i | 0.998441 | − | 0.0558168i | \(-0.0177763\pi\) |
0.118409 | + | 0.992965i | \(0.462221\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −18.1248 | − | 6.59691i | −0.656164 | − | 0.238824i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.513827 | + | 0.836421i | 0.0185775 | + | 0.0302409i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 1.18961 | − | 0.998204i | 0.0429544 | − | 0.0360430i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 5.66421 | − | 32.1234i | 0.204257 | − | 1.15840i | −0.694348 | − | 0.719639i | \(-0.744307\pi\) |
0.898605 | − | 0.438759i | \(-0.144582\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −30.1403 | − | 34.9406i | −1.08547 | − | 1.25835i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −21.5551 | + | 37.3345i | −0.775282 | + | 1.34283i | 0.159353 | + | 0.987222i | \(0.449059\pi\) |
−0.934636 | + | 0.355607i | \(0.884274\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.35468 | − | 2.34638i | −0.0486616 | − | 0.0842843i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.00545167 | + | 0.399643i | 0.000195578 | + | 0.0143371i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −22.6481 | + | 8.24325i | −0.811454 | + | 0.295345i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.30111 | − | 24.3928i | −0.153906 | − | 0.872844i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −5.86817 | + | 18.4370i | −0.209711 | + | 0.658883i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −1.06716 | − | 6.05219i | −0.0380887 | − | 0.216012i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −26.6167 | + | 9.68767i | −0.948781 | + | 0.345328i | −0.769628 | − | 0.638493i | \(-0.779558\pi\) |
−0.179154 | + | 0.983821i | \(0.557336\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −33.7407 | + | 20.0988i | −1.20120 | + | 0.715535i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 4.07576 | + | 7.05942i | 0.144917 | + | 0.251004i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −9.20916 | + | 15.9507i | −0.327027 | + | 0.566427i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −2.89874 | + | 0.551996i | −0.102808 | + | 0.0195773i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −0.0299368 | + | 0.169780i | −0.00106042 | + | 0.00601392i | −0.985333 | − | 0.170640i | \(-0.945416\pi\) |
0.984273 | + | 0.176654i | \(0.0565275\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.00790 | + | 2.52393i | −0.106412 | + | 0.0892903i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 2.22010 | − | 1.96854i | 0.0784432 | − | 0.0695548i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −34.9032 | − | 12.7037i | −1.23171 | − | 0.448305i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.70531 | + | 1.43092i | 0.0601042 | + | 0.0504334i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 17.3331 | − | 21.2385i | 0.610154 | − | 0.747631i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −15.4465 | −0.543070 | −0.271535 | − | 0.962429i | \(-0.587531\pi\) | ||||
−0.271535 | + | 0.962429i | \(0.587531\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −27.8000 | −0.976189 | −0.488095 | − | 0.872791i | \(-0.662308\pi\) | ||||
−0.488095 | + | 0.872791i | \(0.662308\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −31.6934 | + | 38.8344i | −1.11154 | + | 1.36198i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −15.7465 | − | 13.2129i | −0.551577 | − | 0.462828i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.315051 | − | 0.114669i | −0.0110223 | − | 0.00401177i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −13.0759 | − | 4.35911i | −0.456907 | − | 0.152320i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 19.4435 | − | 16.3151i | 0.678584 | − | 0.569400i | −0.237008 | − | 0.971508i | \(-0.576167\pi\) |
0.915592 | + | 0.402108i | \(0.131722\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.95460 | − | 16.7564i | 0.102991 | − | 0.584090i | −0.889013 | − | 0.457882i | \(-0.848608\pi\) |
0.992004 | − | 0.126208i | \(-0.0402807\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 34.9360 | − | 6.65274i | 1.21632 | − | 0.231619i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −9.25164 | + | 16.0243i | −0.321711 | + | 0.557220i | −0.980841 | − | 0.194809i | \(-0.937591\pi\) |
0.659130 | + | 0.752029i | \(0.270925\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 13.1951 | + | 22.8546i | 0.458286 | + | 0.793775i | 0.998871 | − | 0.0475152i | \(-0.0151302\pi\) |
−0.540585 | + | 0.841290i | \(0.681797\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 14.4511 | − | 8.60828i | 0.501304 | − | 0.298618i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −0.344128 | + | 0.125252i | −0.0119233 | + | 0.00433974i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.53330 | + | 8.69580i | 0.0530622 | + | 0.300930i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 3.32079 | + | 0.446354i | 0.114783 | + | 0.0154283i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 6.05748 | + | 34.3536i | 0.209127 | + | 1.18602i | 0.890811 | + | 0.454373i | \(0.150137\pi\) |
−0.681684 | + | 0.731647i | \(0.738752\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.2222 | − | 5.17645i | 0.490420 | − | 0.178498i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.154003 | + | 11.2894i | 0.00530414 | + | 0.388828i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −3.62265 | − | 6.27462i | −0.124623 | − | 0.215853i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 6.44058 | − | 11.1554i | 0.221301 | − | 0.383305i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −25.6291 | − | 29.7109i | −0.879588 | − | 1.01968i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.0998329 | − | 0.566181i | 0.00342223 | − | 0.0194084i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −6.76882 | + | 5.67972i | −0.231760 | + | 0.194470i | −0.751271 | − | 0.659994i | \(-0.770559\pi\) |
0.519511 | + | 0.854464i | \(0.326114\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 8.62932 | − | 0.235475i | 0.295116 | − | 0.00805307i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −15.2789 | − | 5.56108i | −0.521919 | − | 0.189963i | 0.0676076 | − | 0.997712i | \(-0.478463\pi\) |
−0.589526 | + | 0.807749i | \(0.700686\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −4.36299 | − | 3.66098i | −0.148863 | − | 0.124911i | 0.565315 | − | 0.824875i | \(-0.308755\pi\) |
−0.714178 | + | 0.699964i | \(0.753199\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −4.59915 | − | 12.1191i | −0.156739 | − | 0.413018i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 48.4940 | 1.65076 | 0.825378 | − | 0.564581i | \(-0.190962\pi\) | ||||
0.825378 | + | 0.564581i | \(0.190962\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 10.7799 | 0.366529 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −28.8353 | − | 4.67983i | −0.979298 | − | 0.158935i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 34.4276 | + | 28.8882i | 1.16788 | + | 0.979964i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −55.1926 | − | 20.0885i | −1.87013 | − | 0.680672i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −8.43847 | − | 6.69711i | −0.285599 | − | 0.226663i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 6.29820 | − | 5.28482i | 0.212918 | − | 0.178659i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 8.97467 | − | 50.8979i | 0.303053 | − | 1.71870i | −0.329477 | − | 0.944164i | \(-0.606872\pi\) |
0.632530 | − | 0.774536i | \(-0.282017\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −11.3993 | + | 32.7005i | −0.384489 | + | 1.10296i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −15.9983 | + | 27.7098i | −0.538995 | + | 0.933566i | 0.459964 | + | 0.887938i | \(0.347862\pi\) |
−0.998958 | + | 0.0456286i | \(0.985471\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −2.12219 | − | 3.67574i | −0.0714173 | − | 0.123698i | 0.828105 | − | 0.560572i | \(-0.189419\pi\) |
−0.899523 | + | 0.436874i | \(0.856086\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.456535 | − | 0.255342i | −0.0153462 | − | 0.00858322i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 18.2834 | − | 6.65462i | 0.613897 | − | 0.223440i | −0.0163107 | − | 0.999867i | \(-0.505192\pi\) |
0.630207 | + | 0.776427i | \(0.282970\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.28671 | − | 18.6399i | −0.110233 | − | 0.625161i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −19.8808 | + | 39.2317i | −0.666033 | + | 1.31431i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 5.99606 | + | 34.0053i | 0.200650 | + | 1.13794i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −17.4274 | + | 6.34306i | −0.582534 | + | 0.212025i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 17.3038 | + | 9.67810i | 0.577758 | + | 0.323142i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1.20054 | + | 2.07940i | 0.0400404 | + | 0.0693520i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.349133 | + | 0.604716i | −0.0116313 | + | 0.0201460i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.0593550 | − | 0.170268i | 0.00197521 | − | 0.00566616i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 2.70396 | − | 15.3349i | 0.0898828 | − | 0.509751i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 35.1526 | − | 29.4966i | 1.16722 | − | 0.979417i | 0.167245 | − | 0.985915i | \(-0.446513\pi\) |
0.999979 | + | 0.00649789i | \(0.00206836\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −4.00601 | + | 27.0082i | −0.132871 | + | 0.895806i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 12.7410 | + | 4.63734i | 0.422128 | + | 0.153642i | 0.544345 | − | 0.838861i | \(-0.316778\pi\) |
−0.122217 | + | 0.992503i | \(0.539000\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 56.9885 | + | 47.8190i | 1.88604 | + | 1.58258i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 6.12391 | + | 0.993882i | 0.202450 | + | 0.0328567i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −7.40273 | −0.244460 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 6.28122 | 0.207198 | 0.103599 | − | 0.994619i | \(-0.466964\pi\) | ||||
0.103599 | + | 0.994619i | \(0.466964\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −11.8376 | − | 31.1930i | −0.390063 | − | 1.02784i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −17.8389 | − | 14.9687i | −0.587176 | − | 0.492699i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.911082 | − | 0.331607i | −0.0299562 | − | 0.0109032i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 17.0837 | − | 31.5470i | 0.561101 | − | 1.03614i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −2.96548 | + | 2.48833i | −0.0972941 | + | 0.0816395i | −0.690137 | − | 0.723678i | \(-0.742450\pi\) |
0.592843 | + | 0.805318i | \(0.298005\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.559230 | + | 3.17155i | −0.0183280 | + | 0.103943i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 16.2175 | + | 18.8004i | 0.530938 | + | 0.615498i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −0.799519 | + | 1.38481i | −0.0261471 | + | 0.0452881i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −0.905715 | − | 1.56874i | −0.0295884 | − | 0.0512487i | 0.850852 | − | 0.525405i | \(-0.176086\pi\) |
−0.880440 | + | 0.474157i | \(0.842753\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −0.0805377 | − | 5.90394i | −0.00262825 | − | 0.192668i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 38.6899 | − | 14.0820i | 1.26125 | − | 0.459059i | 0.377065 | − | 0.926187i | \(-0.376933\pi\) |
0.884190 | + | 0.467128i | \(0.154711\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 3.23779 | + | 18.3624i | 0.105437 | + | 0.597963i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.189937 | + | 4.63890i | 0.00617864 | + | 0.150903i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 6.23602 | + | 35.3662i | 0.202643 | + | 1.14925i | 0.901105 | + | 0.433601i | \(0.142757\pi\) |
−0.698462 | + | 0.715647i | \(0.746132\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −32.8148 | + | 11.9436i | −1.06521 | + | 0.387706i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −37.0577 | + | 22.0747i | −1.20168 | + | 0.715820i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 30.3313 | + | 52.5353i | 0.982526 | + | 1.70178i | 0.652454 | + | 0.757828i | \(0.273740\pi\) |
0.330071 | + | 0.943956i | \(0.392927\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.945774 | − | 1.63813i | 0.0306045 | − | 0.0530086i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −30.9610 | + | 5.89579i | −1.00083 | + | 0.190584i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 1.72887 | − | 9.80490i | 0.0558281 | − | 0.316617i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −23.4288 | + | 19.6591i | −0.755769 | + | 0.634166i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −5.79845 | − | 28.3405i | −0.186852 | − | 0.913260i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 17.1367 | + | 6.23724i | 0.551649 | + | 0.200784i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 22.1183 | + | 18.5595i | 0.711278 | + | 0.596833i | 0.924957 | − | 0.380071i | \(-0.124100\pi\) |
−0.213680 | + | 0.976904i | \(0.568545\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 1.29159 | − | 1.58260i | 0.0414918 | − | 0.0508405i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 23.8246 | 0.764569 | 0.382284 | − | 0.924045i | \(-0.375137\pi\) | ||||
0.382284 | + | 0.924045i | \(0.375137\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.08737 | −0.0989764 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 21.1408 | − | 25.9042i | 0.677048 | − | 0.829597i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 18.6211 | + | 15.6250i | 0.595742 | + | 0.499887i | 0.890074 | − | 0.455816i | \(-0.150653\pi\) |
−0.294332 | + | 0.955703i | \(0.595097\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.54184 | + | 1.65309i | 0.145158 | + | 0.0528331i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 11.5987 | + | 56.6898i | 0.370318 | + | 1.80997i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 21.2589 | − | 17.8384i | 0.678055 | − | 0.568956i | −0.237382 | − | 0.971416i | \(-0.576289\pi\) |
0.915437 | + | 0.402461i | \(0.131845\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.00162 | − | 11.3518i | 0.0637770 | − | 0.361697i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −18.2432 | + | 3.47399i | −0.580688 | + | 0.110578i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −0.129687 | + | 0.224625i | −0.00412381 | + | 0.00714265i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.39172 | + | 11.0708i | 0.203040 | + | 0.351675i | 0.949506 | − | 0.313748i | \(-0.101585\pi\) |
−0.746467 | + | 0.665423i | \(0.768251\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −37.3240 | + | 22.2333i | −1.18444 | + | 0.705552i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −3.43630 | + | 1.25071i | −0.108938 | + | 0.0396502i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −4.92145 | − | 27.9109i | −0.155864 | − | 0.883948i | −0.957992 | − | 0.286796i | \(-0.907410\pi\) |
0.802128 | − | 0.597152i | \(-0.203701\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 1.01300 | − | 0.641499i | 0.0320500 | − | 0.0202961i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 756.2.bo.b.337.2 | ✓ | 54 | |
27.25 | even | 9 | inner | 756.2.bo.b.673.2 | yes | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bo.b.337.2 | ✓ | 54 | 1.1 | even | 1 | trivial | |
756.2.bo.b.673.2 | yes | 54 | 27.25 | even | 9 | inner |