Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [912,2,Mod(289,912)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(912, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("912.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.bo (of order \(9\), degree \(6\), 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: | \(7.28235666434\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 114) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 529.1 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 912.529 |
Dual form | 912.2.bo.a.481.1 |
$q$-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 \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) | \(1\) | \(1\) |
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 | ||||||||
\(3\) | 0.939693 | − | 0.342020i | 0.542532 | − | 0.197465i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.386659 | + | 2.19285i | −0.172919 | + | 0.980674i | 0.767599 | + | 0.640930i | \(0.221451\pi\) |
−0.940518 | + | 0.339743i | \(0.889660\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.32635 | − | 2.29731i | −0.501314 | − | 0.868301i | −0.999999 | − | 0.00151779i | \(-0.999517\pi\) |
0.498685 | − | 0.866783i | \(-0.333816\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.766044 | − | 0.642788i | 0.255348 | − | 0.214263i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.11334 | − | 1.92836i | 0.335685 | − | 0.581423i | −0.647931 | − | 0.761699i | \(-0.724366\pi\) |
0.983616 | + | 0.180276i | \(0.0576989\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.97178 | + | 1.80958i | 1.37892 | + | 0.501887i | 0.921852 | − | 0.387542i | \(-0.126676\pi\) |
0.457072 | + | 0.889430i | \(0.348898\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.386659 | + | 2.19285i | 0.0998350 | + | 0.566192i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.61334 | − | 2.19285i | −0.633828 | − | 0.531845i | 0.268288 | − | 0.963339i | \(-0.413542\pi\) |
−0.902116 | + | 0.431494i | \(0.857987\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.29813 | + | 0.725293i | 0.986059 | + | 0.166394i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.03209 | − | 1.70513i | −0.443438 | − | 0.372089i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.386659 | − | 2.19285i | −0.0806240 | − | 0.457242i | −0.998215 | − | 0.0597166i | \(-0.980980\pi\) |
0.917591 | − | 0.397525i | \(-0.130131\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.0393628 | + | 0.0143269i | 0.00787257 | + | 0.00286538i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.500000 | − | 0.866025i | 0.0962250 | − | 0.166667i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.68866 | − | 3.09516i | 0.684968 | − | 0.574756i | −0.232486 | − | 0.972600i | \(-0.574686\pi\) |
0.917453 | + | 0.397844i | \(0.130241\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.15657 | + | 8.93145i | 0.926148 | + | 1.60414i | 0.789704 | + | 0.613488i | \(0.210234\pi\) |
0.136444 | + | 0.990648i | \(0.456433\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.386659 | − | 2.19285i | 0.0673087 | − | 0.381727i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 5.55051 | − | 2.02022i | 0.938207 | − | 0.341479i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.30541 | 0.379007 | 0.189503 | − | 0.981880i | \(-0.439312\pi\) | ||||
0.189503 | + | 0.981880i | \(0.439312\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.29086 | 0.847216 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.79813 | − | 2.47432i | 1.06169 | − | 0.386424i | 0.248627 | − | 0.968599i | \(-0.420021\pi\) |
0.813063 | + | 0.582176i | \(0.197798\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.02822 | − | 5.83132i | 0.156802 | − | 0.889267i | −0.800318 | − | 0.599576i | \(-0.795336\pi\) |
0.957120 | − | 0.289692i | \(-0.0935528\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.11334 | + | 1.92836i | 0.165967 | + | 0.287463i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −8.43242 | + | 7.07564i | −1.22999 | + | 1.03209i | −0.231755 | + | 0.972774i | \(0.574447\pi\) |
−0.998239 | + | 0.0593140i | \(0.981109\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.0184183 | + | 0.0319015i | −0.00263119 | + | 0.00455735i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −3.20574 | − | 1.16679i | −0.448893 | − | 0.163384i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.70574 | + | 9.67372i | 0.234301 | + | 1.32879i | 0.844081 | + | 0.536216i | \(0.180147\pi\) |
−0.609780 | + | 0.792571i | \(0.708742\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.79813 | + | 3.18701i | 0.512140 | + | 0.429737i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4.28699 | − | 0.788496i | 0.567826 | − | 0.104439i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.79813 | − | 3.18701i | −0.494475 | − | 0.414914i | 0.361152 | − | 0.932507i | \(-0.382384\pi\) |
−0.855627 | + | 0.517593i | \(0.826828\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.990200 | − | 5.61570i | −0.126782 | − | 0.719017i | −0.980233 | − | 0.197844i | \(-0.936606\pi\) |
0.853451 | − | 0.521173i | \(-0.174505\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −2.49273 | − | 0.907278i | −0.314054 | − | 0.114306i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −5.89053 | + | 10.2027i | −0.730630 | + | 1.26549i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.56805 | + | 5.51125i | −0.802415 | + | 0.673306i | −0.948784 | − | 0.315924i | \(-0.897686\pi\) |
0.146370 | + | 0.989230i | \(0.453241\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.11334 | − | 1.92836i | −0.134030 | − | 0.232148i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.764700 | + | 4.33683i | −0.0907532 | + | 0.514687i | 0.905213 | + | 0.424958i | \(0.139711\pi\) |
−0.995966 | + | 0.0897290i | \(0.971400\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.62701 | − | 0.956154i | 0.307468 | − | 0.111909i | −0.183678 | − | 0.982987i | \(-0.558800\pi\) |
0.491146 | + | 0.871077i | \(0.336578\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.0418891 | 0.00483693 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −5.90673 | −0.673134 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 12.9684 | − | 4.72010i | 1.45906 | − | 0.531053i | 0.513951 | − | 0.857819i | \(-0.328181\pi\) |
0.945105 | + | 0.326766i | \(0.105959\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.173648 | − | 0.984808i | 0.0192942 | − | 0.109423i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −5.25150 | − | 9.09586i | −0.576427 | − | 0.998400i | −0.995885 | − | 0.0906256i | \(-0.971113\pi\) |
0.419458 | − | 0.907775i | \(-0.362220\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.81908 | − | 4.88279i | 0.631168 | − | 0.529613i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 2.40760 | − | 4.17009i | 0.258122 | − | 0.447081i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −7.34389 | − | 2.67296i | −0.778451 | − | 0.283333i | −0.0779244 | − | 0.996959i | \(-0.524829\pi\) |
−0.700527 | + | 0.713626i | \(0.747052\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.43717 | − | 13.8219i | −0.255484 | − | 1.44892i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 7.90033 | + | 6.62916i | 0.819226 | + | 0.687412i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.25237 | + | 9.14473i | −0.333687 | + | 0.938230i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −13.6270 | − | 11.4344i | −1.38361 | − | 1.16099i | −0.967853 | − | 0.251515i | \(-0.919071\pi\) |
−0.415760 | − | 0.909474i | \(-0.636484\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.386659 | − | 2.19285i | −0.0388607 | − | 0.220390i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −16.8268 | − | 6.12446i | −1.67433 | − | 0.609407i | −0.681815 | − | 0.731524i | \(-0.738809\pi\) |
−0.992516 | + | 0.122118i | \(0.961031\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.12314 | − | 3.67739i | 0.209199 | − | 0.362344i | −0.742263 | − | 0.670108i | \(-0.766248\pi\) |
0.951463 | + | 0.307765i | \(0.0995809\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 4.52481 | − | 3.79677i | 0.441577 | − | 0.370527i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 7.80200 | + | 13.5135i | 0.754248 | + | 1.30640i | 0.945747 | + | 0.324903i | \(0.105332\pi\) |
−0.191499 | + | 0.981493i | \(0.561335\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.236482 | + | 1.34115i | −0.0226508 | + | 0.128459i | −0.994036 | − | 0.109049i | \(-0.965220\pi\) |
0.971386 | + | 0.237508i | \(0.0763306\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.16637 | − | 0.788496i | 0.205623 | − | 0.0748407i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 17.2003 | 1.61807 | 0.809033 | − | 0.587763i | \(-0.199991\pi\) | ||||
0.809033 | + | 0.587763i | \(0.199991\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.95811 | 0.462346 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 4.97178 | − | 1.80958i | 0.459641 | − | 0.167296i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.57145 | + | 8.91215i | −0.144055 | + | 0.816975i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.02094 | + | 5.23243i | 0.274631 | + | 0.475675i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 5.54189 | − | 4.65020i | 0.499695 | − | 0.419294i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −5.61334 | + | 9.72259i | −0.502072 | + | 0.869615i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −12.3969 | − | 4.51211i | −1.10005 | − | 0.400385i | −0.272715 | − | 0.962095i | \(-0.587922\pi\) |
−0.827334 | + | 0.561710i | \(0.810144\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −1.02822 | − | 5.83132i | −0.0905296 | − | 0.513419i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −5.74763 | − | 4.82283i | −0.502172 | − | 0.421373i | 0.356192 | − | 0.934413i | \(-0.384075\pi\) |
−0.858365 | + | 0.513040i | \(0.828519\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.03462 | − | 10.8361i | −0.349845 | − | 0.939612i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.70574 | + | 1.43128i | 0.146806 | + | 0.123185i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.15136 | + | 6.52968i | 0.0983673 | + | 0.557869i | 0.993663 | + | 0.112397i | \(0.0358528\pi\) |
−0.895296 | + | 0.445472i | \(0.853036\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.99660 | − | 2.91052i | −0.678262 | − | 0.246867i | −0.0201612 | − | 0.999797i | \(-0.506418\pi\) |
−0.658101 | + | 0.752929i | \(0.728640\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −5.50387 | + | 9.53298i | −0.463510 | + | 0.802822i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 9.02481 | − | 7.57272i | 0.754693 | − | 0.633263i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 5.36097 | + | 9.28547i | 0.445204 | + | 0.771116i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.00639661 | + | 0.0362770i | −0.000527584 | + | 0.00299208i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 3.20574 | − | 1.16679i | 0.262624 | − | 0.0955874i | −0.207352 | − | 0.978266i | \(-0.566485\pi\) |
0.469976 | + | 0.882679i | \(0.344262\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.04189 | −0.247545 | −0.123773 | − | 0.992311i | \(-0.539499\pi\) | ||||
−0.123773 | + | 0.992311i | \(0.539499\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −3.41147 | −0.275801 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −21.5792 | + | 7.85418i | −1.73328 | + | 0.630863i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.69594 | + | 15.2894i | −0.215159 | + | 1.22023i | 0.665471 | + | 0.746424i | \(0.268231\pi\) |
−0.880630 | + | 0.473805i | \(0.842880\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 4.91147 | + | 8.50692i | 0.389505 | + | 0.674643i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −4.52481 | + | 3.79677i | −0.356605 | + | 0.299227i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.21941 | − | 3.84413i | 0.173837 | − | 0.301095i | −0.765921 | − | 0.642935i | \(-0.777717\pi\) |
0.939758 | + | 0.341840i | \(0.111050\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 4.65910 | + | 1.69577i | 0.362710 | + | 0.132016i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1.41534 | + | 8.02682i | 0.109523 | + | 0.621134i | 0.989317 | + | 0.145779i | \(0.0465690\pi\) |
−0.879794 | + | 0.475354i | \(0.842320\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.4855 | + | 9.63744i | 0.883496 | + | 0.741341i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.75877 | − | 2.20718i | 0.287440 | − | 0.168787i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −12.2306 | − | 10.2627i | −0.929872 | − | 0.780255i | 0.0459227 | − | 0.998945i | \(-0.485377\pi\) |
−0.975794 | + | 0.218690i | \(0.929822\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.0192957 | − | 0.109431i | −0.00145861 | − | 0.00827222i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.65910 | − | 1.69577i | −0.350199 | − | 0.127462i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 0.726682 | − | 1.25865i | 0.0543147 | − | 0.0940759i | −0.837590 | − | 0.546300i | \(-0.816036\pi\) |
0.891904 | + | 0.452224i | \(0.149369\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.862311 | + | 0.723565i | −0.0640951 | + | 0.0537822i | −0.674272 | − | 0.738483i | \(-0.735543\pi\) |
0.610177 | + | 0.792265i | \(0.291098\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.85117 | − | 4.93837i | −0.210764 | − | 0.365054i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.891407 | + | 5.05542i | −0.0655375 | + | 0.371682i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.13816 | + | 2.59808i | −0.521994 | + | 0.189990i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.65270 | −0.192956 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 1.32770 | 0.0960687 | 0.0480344 | − | 0.998846i | \(-0.484704\pi\) | ||||
0.0480344 | + | 0.998846i | \(0.484704\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.0817 | + | 5.12533i | −1.01362 | + | 0.368929i | −0.794824 | − | 0.606841i | \(-0.792437\pi\) |
−0.218801 | + | 0.975770i | \(0.570214\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −2.04576 | + | 11.6021i | −0.146500 | + | 0.830842i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −11.5039 | − | 19.9253i | −0.819617 | − | 1.41962i | −0.905965 | − | 0.423353i | \(-0.860853\pi\) |
0.0863480 | − | 0.996265i | \(-0.472480\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.41740 | + | 6.22394i | −0.525806 | + | 0.441203i | −0.866650 | − | 0.498916i | \(-0.833732\pi\) |
0.340844 | + | 0.940120i | \(0.389287\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −4.28699 | + | 7.42528i | −0.302381 | + | 0.523739i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −12.0030 | − | 4.36873i | −0.842445 | − | 0.306625i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.79726 | + | 15.8640i | 0.195369 | + | 1.10799i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −1.70574 | − | 1.43128i | −0.118557 | − | 0.0994811i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 6.18392 | − | 7.48086i | 0.427750 | − | 0.517462i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.847296 | + | 0.710966i | 0.0583303 | + | 0.0489449i | 0.671487 | − | 0.741017i | \(-0.265656\pi\) |
−0.613156 | + | 0.789962i | \(0.710100\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.764700 | + | 4.33683i | 0.0523964 | + | 0.297155i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 12.3897 | + | 4.50946i | 0.844967 | + | 0.307543i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 13.6789 | − | 23.6925i | 0.928582 | − | 1.60835i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 2.14156 | − | 1.79698i | 0.144713 | − | 0.121429i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −9.02481 | − | 15.6314i | −0.607075 | − | 1.05148i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.39100 | + | 24.9026i | −0.294043 | + | 1.66760i | 0.377024 | + | 0.926203i | \(0.376947\pi\) |
−0.671067 | + | 0.741397i | \(0.734164\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.0393628 | − | 0.0143269i | 0.00262419 | − | 0.000955127i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −3.42871 | −0.227572 | −0.113786 | − | 0.993505i | \(-0.536298\pi\) | ||||
−0.113786 | + | 0.993505i | \(0.536298\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 29.9418 | 1.97861 | 0.989305 | − | 0.145860i | \(-0.0465950\pi\) | ||||
0.989305 | + | 0.145860i | \(0.0465950\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −5.55051 | + | 2.02022i | −0.365197 | + | 0.132921i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −1.80200 | + | 10.2197i | −0.118053 | + | 0.669513i | 0.867140 | + | 0.498065i | \(0.165956\pi\) |
−0.985193 | + | 0.171448i | \(0.945155\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −12.2554 | − | 21.2269i | −0.799452 | − | 1.38469i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 10.5719 | − | 8.87089i | 0.686720 | − | 0.576226i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −8.00774 | + | 13.8698i | −0.517978 | + | 0.897164i | 0.481804 | + | 0.876279i | \(0.339982\pi\) |
−0.999782 | + | 0.0208848i | \(0.993352\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −24.0390 | − | 8.74946i | −1.54849 | − | 0.563602i | −0.580423 | − | 0.814315i | \(-0.697113\pi\) |
−0.968062 | + | 0.250712i | \(0.919335\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.173648 | − | 0.984808i | −0.0111395 | − | 0.0631754i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.0628336 | − | 0.0527236i | −0.00401429 | − | 0.00336839i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 20.0569 | + | 11.3838i | 1.27619 | + | 0.724335i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −8.04576 | − | 6.75119i | −0.509879 | − | 0.427840i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1.85622 | − | 10.5271i | −0.117164 | − | 0.664467i | −0.985656 | − | 0.168765i | \(-0.946022\pi\) |
0.868493 | − | 0.495702i | \(-0.165089\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.65910 | − | 1.69577i | −0.292915 | − | 0.106612i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 3.79813 | − | 6.57856i | 0.237848 | − | 0.411965i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −23.5783 | + | 19.7846i | −1.47077 | + | 1.23413i | −0.555363 | + | 0.831608i | \(0.687421\pi\) |
−0.915412 | + | 0.402519i | \(0.868135\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.05778 | − | 5.29623i | −0.190001 | − | 0.329092i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.836152 | − | 4.74205i | 0.0517565 | − | 0.293526i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 2.95336 | − | 1.07494i | 0.182112 | − | 0.0662834i | −0.249355 | − | 0.968412i | \(-0.580218\pi\) |
0.431467 | + | 0.902129i | \(0.357996\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −21.8726 | −1.34362 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −7.81521 | −0.478283 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −13.9829 | + | 5.08937i | −0.852554 | + | 0.310304i | −0.731081 | − | 0.682290i | \(-0.760984\pi\) |
−0.121473 | + | 0.992595i | \(0.538762\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.64543 | + | 15.0030i | −0.160698 | + | 0.911366i | 0.792691 | + | 0.609624i | \(0.208679\pi\) |
−0.953389 | + | 0.301742i | \(0.902432\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −7.01754 | − | 12.1547i | −0.424721 | − | 0.735638i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.0714517 | − | 0.0599551i | 0.00430870 | − | 0.00361543i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.10472 | − | 10.5737i | 0.366797 | − | 0.635311i | −0.622266 | − | 0.782806i | \(-0.713788\pi\) |
0.989063 | + | 0.147495i | \(0.0471209\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 9.69119 | + | 3.52730i | 0.580196 | + | 0.211174i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.389652 | − | 2.20983i | −0.0232447 | − | 0.131827i | 0.970977 | − | 0.239172i | \(-0.0768761\pi\) |
−0.994222 | + | 0.107345i | \(0.965765\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.3289 | + | 9.50606i | 0.673432 | + | 0.565076i | 0.914079 | − | 0.405536i | \(-0.132915\pi\) |
−0.240647 | + | 0.970613i | \(0.577360\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.0714517 | + | 9.70562i | 0.00423244 | + | 0.574911i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −14.7010 | − | 12.3356i | −0.867772 | − | 0.728147i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.931074 | − | 5.28039i | −0.0547691 | − | 0.310611i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −16.7160 | − | 6.08413i | −0.979910 | − | 0.356658i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 6.02481 | − | 10.4353i | 0.351973 | − | 0.609636i | −0.634622 | − | 0.772823i | \(-0.718844\pi\) |
0.986595 | + | 0.163187i | \(0.0521774\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 8.45723 | − | 7.09646i | 0.492399 | − | 0.413172i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −1.11334 | − | 1.92836i | −0.0646026 | − | 0.111895i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.04576 | − | 11.6021i | 0.118309 | − | 0.670966i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −14.7601 | + | 5.37224i | −0.850759 | + | 0.309651i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −17.9067 | −1.02871 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 12.6973 | 0.727044 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 21.2319 | − | 7.72778i | 1.21177 | − | 0.441048i | 0.344452 | − | 0.938804i | \(-0.388065\pi\) |
0.867317 | + | 0.497757i | \(0.165843\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.737359 | − | 4.18177i | 0.0419469 | − | 0.237893i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −5.66297 | − | 9.80855i | −0.321118 | − | 0.556192i | 0.659601 | − | 0.751616i | \(-0.270725\pi\) |
−0.980719 | + | 0.195424i | \(0.937392\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.56418 | + | 3.82980i | −0.257983 | + | 0.216473i | −0.762601 | − | 0.646870i | \(-0.776078\pi\) |
0.504618 | + | 0.863343i | \(0.331633\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.95336 | − | 5.11538i | 0.166403 | − | 0.288219i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 8.38578 | + | 3.05217i | 0.470992 | + | 0.171427i | 0.566602 | − | 0.823992i | \(-0.308258\pi\) |
−0.0956094 | + | 0.995419i | \(0.530480\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.86184 | − | 10.5590i | −0.104243 | − | 0.591193i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 11.9534 | + | 10.0301i | 0.667172 | + | 0.559824i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −9.64203 | − | 11.3206i | −0.536497 | − | 0.629896i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.169778 | + | 0.142460i | 0.00941758 | + | 0.00790229i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.236482 | + | 1.34115i | 0.0130775 | + | 0.0741660i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 27.4393 | + | 9.98708i | 1.51278 | + | 0.550606i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.32976 | − | 5.76731i | 0.183020 | − | 0.317000i | −0.759888 | − | 0.650054i | \(-0.774746\pi\) |
0.942908 | + | 0.333055i | \(0.108079\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.76604 | − | 1.48189i | 0.0967786 | − | 0.0812069i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −9.54576 | − | 16.5337i | −0.521541 | − | 0.903335i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.88057 | + | 10.6652i | −0.102441 | + | 0.580972i | 0.889771 | + | 0.456408i | \(0.150864\pi\) |
−0.992212 | + | 0.124564i | \(0.960247\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 16.1630 | − | 5.88284i | 0.877852 | − | 0.319512i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 22.9641 | 1.24358 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.4712 | −0.997352 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 4.65910 | − | 1.69577i | 0.250838 | − | 0.0912974i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −3.58781 | + | 20.3475i | −0.192604 | + | 1.09231i | 0.723186 | + | 0.690653i | \(0.242677\pi\) |
−0.915790 | + | 0.401657i | \(0.868434\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.01976 | + | 1.76628i | 0.0545866 | + | 0.0945468i | 0.892028 | − | 0.451981i | \(-0.149283\pi\) |
−0.837441 | + | 0.546528i | \(0.815949\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.05303 | − | 3.40090i | 0.216335 | − | 0.181527i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −15.6506 | + | 27.1077i | −0.833000 | + | 1.44280i | 0.0626489 | + | 0.998036i | \(0.480045\pi\) |
−0.895649 | + | 0.444762i | \(0.853288\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −9.21436 | − | 3.35375i | −0.489047 | − | 0.177999i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.57145 | + | 8.91215i | 0.0831700 | + | 0.471681i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 6.82295 | + | 5.72513i | 0.360101 | + | 0.302161i | 0.804831 | − | 0.593504i | \(-0.202256\pi\) |
−0.444730 | + | 0.895665i | \(0.646700\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.9479 | + | 6.23481i | 0.944626 | + | 0.328148i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 4.62836 | + | 3.88365i | 0.242926 | + | 0.203839i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1.08095 | + | 6.13036i | 0.0565794 | + | 0.320878i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.23308 | + | 1.17674i | 0.168765 | + | 0.0614255i | 0.425021 | − | 0.905183i | \(-0.360267\pi\) |
−0.256256 | + | 0.966609i | \(0.582489\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 3.61721 | − | 6.26519i | 0.188304 | − | 0.326153i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 19.9611 | − | 16.7494i | 1.03633 | − | 0.869583i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.15998 | + | 5.47324i | 0.163617 | + | 0.283394i | 0.936163 | − | 0.351565i | \(-0.114350\pi\) |
−0.772546 | + | 0.634959i | \(0.781017\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.94949 | + | 11.0561i | −0.100671 | + | 0.570936i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 23.9402 | − | 8.71351i | 1.23298 | − | 0.448768i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 14.4074 | 0.740056 | 0.370028 | − | 0.929021i | \(-0.379348\pi\) | ||||
0.370028 | + | 0.929021i | \(0.379348\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −13.1925 | −0.675874 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −1.77719 | + | 0.646844i | −0.0908101 | + | 0.0330522i | −0.387026 | − | 0.922069i | \(-0.626498\pi\) |
0.296216 | + | 0.955121i | \(0.404275\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.28389 | − | 12.9526i | 0.116398 | − | 0.660125i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −2.96064 | − | 5.12797i | −0.150498 | − | 0.260670i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −5.65136 | + | 4.74205i | −0.286535 | + | 0.240432i | −0.774714 | − | 0.632312i | \(-0.782106\pi\) |
0.488178 | + | 0.872744i | \(0.337662\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.79813 | + | 6.57856i | −0.192080 | + | 0.332692i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −7.05051 | − | 2.56617i | −0.355651 | − | 0.129446i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 5.33615 | + | 30.2628i | 0.268491 | + | 1.52269i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.86824 | − | 7.44134i | −0.445084 | − | 0.373470i | 0.392524 | − | 0.919742i | \(-0.371602\pi\) |
−0.837608 | + | 0.546272i | \(0.816047\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −7.49747 | − | 8.80271i | −0.375343 | − | 0.440687i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 11.6514 | + | 9.77665i | 0.581841 | + | 0.488223i | 0.885551 | − | 0.464542i | \(-0.153781\pi\) |
−0.303710 | + | 0.952765i | \(0.598225\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.47519 | + | 53.7364i | 0.471993 | + | 2.67680i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 2.09240 | + | 0.761570i | 0.103972 | + | 0.0378427i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.56670 | − | 4.44566i | 0.127227 | − | 0.220363i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.17293 | + | 0.984208i | −0.0579978 | + | 0.0486659i | −0.671326 | − | 0.741162i | \(-0.734275\pi\) |
0.613328 | + | 0.789828i | \(0.289830\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 3.31521 | + | 5.74211i | 0.163527 | + | 0.283237i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −2.28389 | + | 12.9526i | −0.112383 | + | 0.637355i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 21.9764 | − | 7.99876i | 1.07878 | − | 0.392644i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −8.50980 | −0.416727 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 26.7374 | 1.30621 | 0.653104 | − | 0.757268i | \(-0.273466\pi\) | ||||
0.653104 | + | 0.757268i | \(0.273466\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −22.4329 | + | 8.16490i | −1.09331 | + | 0.397933i | −0.824847 | − | 0.565356i | \(-0.808739\pi\) |
−0.268465 | + | 0.963289i | \(0.586516\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −1.91147 | + | 10.8405i | −0.0929391 | + | 0.527084i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.0714517 | − | 0.123758i | −0.00346592 | − | 0.00600315i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −11.5876 | + | 9.72319i | −0.560766 | + | 0.470538i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 5.89053 | − | 10.2027i | 0.284397 | − | 0.492591i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 14.8277 | + | 5.39684i | 0.714225 | + | 0.259957i | 0.673472 | − | 0.739213i | \(-0.264802\pi\) |
0.0407529 | + | 0.999169i | \(0.487024\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.33006 | − | 13.2144i | −0.111976 | − | 0.635045i | −0.988203 | − | 0.153148i | \(-0.951059\pi\) |
0.876228 | − | 0.481897i | \(-0.160052\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 8.21348 | + | 6.89193i | 0.393806 | + | 0.330443i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.0714517 | − | 9.70562i | −0.00341800 | − | 0.464283i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −14.4795 | − | 12.1498i | −0.691070 | − | 0.579876i | 0.228148 | − | 0.973627i | \(-0.426733\pi\) |
−0.919218 | + | 0.393750i | \(0.871178\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.00639661 | + | 0.0362770i | 0.000304601 | + | 0.00172748i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −10.6125 | − | 3.86262i | −0.504213 | − | 0.183519i | 0.0773747 | − | 0.997002i | \(-0.475346\pi\) |
−0.581588 | + | 0.813483i | \(0.697568\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 8.70099 | − | 15.0706i | 0.412466 | − | 0.714413i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2.61334 | − | 2.19285i | 0.123607 | − | 0.103718i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 4.37733 | + | 7.58175i | 0.206579 | + | 0.357805i | 0.950635 | − | 0.310313i | \(-0.100434\pi\) |
−0.744056 | + | 0.668117i | \(0.767100\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.79726 | − | 15.8640i | 0.131718 | − | 0.747008i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −2.85844 | + | 1.04039i | −0.134301 | + | 0.0488817i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 31.2517 | 1.46510 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 23.8334 | 1.11488 | 0.557439 | − | 0.830218i | \(-0.311784\pi\) | ||||
0.557439 | + | 0.830218i | \(0.311784\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −3.20574 | + | 1.16679i | −0.149631 | + | 0.0544612i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 2.73442 | − | 15.5077i | 0.127355 | − | 0.722265i | −0.852527 | − | 0.522684i | \(-0.824931\pi\) |
0.979881 | − | 0.199581i | \(-0.0639581\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.18732 | − | 3.78855i | −0.101653 | − | 0.176069i | 0.810713 | − | 0.585444i | \(-0.199080\pi\) |
−0.912366 | + | 0.409376i | \(0.865747\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −17.5915 | + | 14.7610i | −0.815787 | + | 0.684527i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 13.0535 | − | 22.6093i | 0.604044 | − | 1.04623i | −0.388158 | − | 0.921593i | \(-0.626888\pi\) |
0.992202 | − | 0.124642i | \(-0.0397782\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 21.3726 | + | 7.77898i | 0.986894 | + | 0.359200i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 2.69594 | + | 15.2894i | 0.124222 | + | 0.704499i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −10.1001 | − | 8.47502i | −0.464405 | − | 0.389682i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.158796 | + | 0.0901285i | 0.00728604 | + | 0.00413538i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 7.52481 | + | 6.31407i | 0.344538 | + | 0.289101i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 5.92556 | + | 33.6055i | 0.270746 | + | 1.53547i | 0.752160 | + | 0.658981i | \(0.229012\pi\) |
−0.481414 | + | 0.876493i | \(0.659877\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 11.4620 | + | 4.17182i | 0.522621 | + | 0.190219i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −2.95336 | + | 5.11538i | −0.134383 | + | 0.232758i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 30.3430 | − | 25.4608i | 1.37781 | − | 1.15612i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −7.88191 | − | 13.6519i | −0.357164 | − | 0.618625i | 0.630322 | − | 0.776334i | \(-0.282923\pi\) |
−0.987486 | + | 0.157708i | \(0.949589\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0.770792 | − | 4.37138i | 0.0348564 | − | 0.197681i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 13.0039 | − | 4.73302i | 0.586856 | − | 0.213598i | −0.0314898 | − | 0.999504i | \(-0.510025\pi\) |
0.618346 | + | 0.785906i | \(0.287803\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −16.4270 | −0.739833 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 4.95811 | 0.222851 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 10.9773 | − | 3.99541i | 0.492399 | − | 0.179219i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 3.46064 | − | 19.6262i | 0.154919 | − | 0.878592i | −0.803940 | − | 0.594710i | \(-0.797267\pi\) |
0.958859 | − | 0.283881i | \(-0.0916221\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 4.07532 | + | 7.05866i | 0.182072 | + | 0.315358i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 11.3990 | − | 9.56488i | 0.508256 | − | 0.426477i | −0.352259 | − | 0.935902i | \(-0.614586\pi\) |
0.860515 | + | 0.509425i | \(0.170142\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 19.9363 | − | 34.5307i | 0.887153 | − | 1.53659i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 14.0890 | + | 5.12797i | 0.625714 | + | 0.227741i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −6.37046 | − | 36.1287i | −0.282366 | − | 1.60138i | −0.714546 | − | 0.699589i | \(-0.753367\pi\) |
0.432180 | − | 0.901787i | \(-0.357744\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.68092 | − | 4.76686i | −0.251309 | − | 0.210873i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 2.77719 | − | 3.35965i | 0.122616 | − | 0.148332i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 7.24304 | + | 6.07763i | 0.319166 | + | 0.267812i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.25624 | + | 24.1384i | 0.187189 | + | 1.06160i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −15.0030 | − | 5.46064i | −0.658558 | − | 0.239696i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 18.7677 | − | 32.5066i | 0.822228 | − | 1.42414i | −0.0817923 | − | 0.996649i | \(-0.526064\pi\) |
0.904020 | − | 0.427491i | \(-0.140602\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.304063 | + | 0.255139i | −0.0132958 | + | 0.0111565i | −0.649411 | − | 0.760437i | \(-0.724985\pi\) |
0.636116 | + | 0.771594i | \(0.280540\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.0555596 | − | 0.0962321i | −0.00242482 | − | 0.00419991i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 6.10947 | − | 34.6485i | 0.266133 | − | 1.50931i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 16.9538 | − | 6.17069i | 0.737123 | − | 0.268291i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −4.95811 | −0.215164 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 38.2763 | 1.65793 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −32.6498 | + | 11.8835i | −1.41157 | + | 0.513770i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0.252374 | − | 1.43128i | 0.0108907 | − | 0.0617644i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0.0410117 | + | 0.0710344i | 0.00176650 | + | 0.00305967i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −15.9730 | + | 13.4029i | −0.686731 | + | 0.576236i | −0.917965 | − | 0.396662i | \(-0.870168\pi\) |
0.231233 | + | 0.972898i | \(0.425724\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.562834 | + | 0.974856i | −0.0241535 | + | 0.0418351i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −2.84952 | − | 1.03714i | −0.122060 | − | 0.0444262i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0.896926 | + | 5.08672i | 0.0383498 | + | 0.217492i | 0.997960 | − | 0.0638400i | \(-0.0203347\pi\) |
−0.959610 | + | 0.281332i | \(0.909224\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −4.36824 | − | 3.66539i | −0.186432 | − | 0.156435i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 18.0993 | − | 10.6280i | 0.771054 | − | 0.452769i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −28.0442 | − | 23.5319i | −1.19256 | − | 1.00068i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.891407 | + | 5.05542i | 0.0378381 | + | 0.214591i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −27.2173 | − | 9.90630i | −1.15324 | − | 0.419744i | −0.306560 | − | 0.951851i | \(-0.599178\pi\) |
−0.846677 | + | 0.532108i | \(0.821400\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 15.6643 | − | 27.1314i | 0.662530 | − | 1.14754i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −5.81908 | + | 4.88279i | −0.245682 | + | 0.206151i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −4.37892 | − | 7.58451i | −0.184549 | − | 0.319649i | 0.758875 | − | 0.651236i | \(-0.225749\pi\) |
−0.943425 | + | 0.331587i | \(0.892416\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.65064 | + | 37.7177i | −0.279795 | + | 1.58679i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −2.49273 | + | 0.907278i | −0.104685 | + | 0.0381021i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 11.3696 | 0.476638 | 0.238319 | − | 0.971187i | \(-0.423404\pi\) | ||||
0.238319 | + | 0.971187i | \(0.423404\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.98545 | −0.124937 | −0.0624686 | − | 0.998047i | \(-0.519897\pi\) | ||||
−0.0624686 | + | 0.998047i | \(0.519897\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 1.24763 | − | 0.454099i | 0.0521203 | − | 0.0189702i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.0161968 | − | 0.0918566i | 0.000675453 | − | 0.00383068i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.3735 | + | 19.6994i | 0.473483 | + | 0.820097i | 0.999539 | − | 0.0303530i | \(-0.00966315\pi\) |
−0.526056 | + | 0.850450i | \(0.676330\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −11.4795 | + | 9.63246i | −0.477073 | + | 0.400311i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −13.9307 | + | 24.1286i | −0.577941 | + | 1.00102i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 20.5535 | + | 7.48086i | 0.851239 | + | 0.309826i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 2.04576 | + | 11.6021i | 0.0845817 | + | 0.479687i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 12.6552 | + | 10.6190i | 0.522337 | + | 0.438293i | 0.865446 | − | 0.501003i | \(-0.167035\pi\) |
−0.343108 | + | 0.939296i | \(0.611480\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 15.6857 | + | 42.1286i | 0.646319 | + | 1.73588i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −17.6250 | − | 14.7891i | −0.724994 | − | 0.608342i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 2.62355 | + | 14.8789i | 0.107736 | + | 0.611003i | 0.990092 | + | 0.140420i | \(0.0448453\pi\) |
−0.882356 | + | 0.470583i | \(0.844044\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −18.9354 | − | 6.89193i | −0.776276 | − | 0.282541i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −4.84137 | + | 8.38549i | −0.198144 | + | 0.343195i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 14.0326 | − | 11.7747i | 0.573355 | − | 0.481102i | −0.309403 | − | 0.950931i | \(-0.600129\pi\) |
0.882757 | + | 0.469829i | \(0.155685\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.78746 | + | 3.09596i | 0.0729118 | + | 0.126287i | 0.900176 | − | 0.435526i | \(-0.143437\pi\) |
−0.827264 | + | 0.561813i | \(0.810104\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.48886 | + | 8.44372i | −0.0606309 | + | 0.343855i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −12.6420 | + | 4.60132i | −0.513971 | + | 0.187070i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −10.9436 | −0.444186 | −0.222093 | − | 0.975026i | \(-0.571289\pi\) | ||||
−0.222093 | + | 0.975026i | \(0.571289\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −12.7733 | −0.517601 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −54.7281 | + | 19.9194i | −2.21406 | + | 0.805852i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.74345 | − | 43.9153i | 0.312755 | − | 1.77372i | −0.271786 | − | 0.962358i | \(-0.587614\pi\) |
0.584541 | − | 0.811364i | \(-0.301275\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 8.05438 | + | 13.9506i | 0.324784 | + | 0.562542i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −1.10876 | + | 0.930356i | −0.0446368 | + | 0.0374547i | −0.664833 | − | 0.746992i | \(-0.731497\pi\) |
0.620196 | + | 0.784447i | \(0.287053\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −23.6236 | + | 40.9173i | −0.949513 | + | 1.64460i | −0.203060 | + | 0.979166i | \(0.565089\pi\) |
−0.746453 | + | 0.665438i | \(0.768245\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −2.09240 | − | 0.761570i | −0.0839650 | − | 0.0305607i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 3.59997 | + | 20.4165i | 0.144230 | + | 0.817969i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −18.9893 | − | 15.9339i | −0.759573 | − | 0.637357i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 3.25237 | − | 9.14473i | 0.129887 | − | 0.365206i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −6.02481 | − | 5.05542i | −0.240225 | − | 0.201573i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.05010 | − | 34.3118i | −0.240851 | − | 1.36593i | −0.829935 | − | 0.557860i | \(-0.811623\pi\) |
0.589085 | − | 0.808071i | \(-0.299488\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 1.03936 | + | 0.378297i | 0.0413110 | + | 0.0150360i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 14.6878 | − | 25.4400i | 0.582867 | − | 1.00956i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.149300 | + | 0.125278i | −0.00591548 | + | 0.00496368i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 2.20187 | + | 3.81374i | 0.0871045 | + | 0.150869i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 1.90286 | − | 10.7916i | 0.0751583 | − | 0.426244i | −0.923891 | − | 0.382655i | \(-0.875010\pi\) |
0.999050 | − | 0.0435888i | \(-0.0138791\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.47683 | − | 1.26546i | 0.137113 | − | 0.0499050i | −0.272552 | − | 0.962141i | \(-0.587868\pi\) |
0.409665 | + | 0.912236i | \(0.365646\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 13.1848 | 0.519151 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −26.2671 | −1.03267 | −0.516334 | − | 0.856387i | \(-0.672704\pi\) | ||||
−0.516334 | + | 0.856387i | \(0.672704\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −10.3743 | + | 3.77595i | −0.407228 | + | 0.148219i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 4.75062 | − | 26.9421i | 0.186191 | − | 1.05594i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −13.0783 | − | 22.6523i | −0.511794 | − | 0.886453i | −0.999907 | − | 0.0136725i | \(-0.995648\pi\) |
0.488113 | − | 0.872781i | \(-0.337686\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 12.7981 | − | 10.7389i | 0.500064 | − | 0.419604i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 1.39780 | − | 2.42107i | 0.0545335 | − | 0.0944548i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 25.2592 | + | 9.19361i | 0.983960 | + | 0.358132i | 0.783379 | − | 0.621545i | \(-0.213495\pi\) |
0.200582 | + | 0.979677i | \(0.435717\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.972086 | + | 5.51297i | 0.0378098 | + | 0.214430i | 0.997859 | − | 0.0654011i | \(-0.0208327\pi\) |
−0.960049 | + | 0.279831i | \(0.909722\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −13.8268 | − | 11.6021i | −0.536989 | − | 0.450587i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 25.3221 | − | 4.65743i | 0.981948 | − | 0.180607i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −8.21348 | − | 6.89193i | −0.318027 | − | 0.266856i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 4.39100 | + | 24.9026i | 0.169766 | + | 0.962789i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −11.9315 | − | 4.34273i | −0.460612 | − | 0.167649i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −11.4966 | + | 19.9127i | −0.443161 | + | 0.767578i | −0.997922 | − | 0.0644321i | \(-0.979476\pi\) |
0.554761 | + | 0.832010i | \(0.312810\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0.0320889 | − | 0.0269258i | 0.00123510 | − | 0.00103637i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −7.66772 | − | 13.2809i | −0.294694 | − | 0.510426i | 0.680219 | − | 0.733009i | \(-0.261885\pi\) |
−0.974914 | + | 0.222583i | \(0.928551\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −8.19418 | + | 46.4715i | −0.314464 | + | 1.78341i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −3.22193 | + | 1.17269i | −0.123465 | + | 0.0449375i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 19.6459 | 0.751729 | 0.375865 | − | 0.926675i | \(-0.377346\pi\) | ||||
0.375865 | + | 0.926675i | \(0.377346\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −14.7638 | −0.564097 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 28.1361 | − | 10.2407i | 1.07346 | − | 0.390707i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −9.02481 | + | 51.1823i | −0.343818 | + | 1.94989i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.73442 | + | 16.8605i | 0.370315 | + | 0.641404i | 0.989614 | − | 0.143751i | \(-0.0459165\pi\) |
−0.619299 | + | 0.785155i | \(0.712583\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −4.52481 | + | 3.79677i | −0.171884 | + | 0.144227i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 9.47431 | − | 16.4100i | 0.359381 | − | 0.622466i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −23.1917 | − | 8.44107i | −0.878447 | − | 0.319728i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 1.80200 | + | 10.2197i | 0.0681580 | + | 0.386543i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 16.9433 | + | 14.2171i | 0.639940 | + | 0.536974i | 0.904000 | − | 0.427533i | \(-0.140617\pi\) |
−0.264060 | + | 0.964506i | \(0.585062\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 9.90895 | + | 1.67210i | 0.373723 | + | 0.0630643i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −18.7763 | − | 15.7552i | −0.707157 | − | 0.593375i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 8.24850 | + | 46.7796i | 0.310217 | + | 1.75933i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −8.96451 | − | 3.26281i | −0.336669 | − | 0.122538i | 0.168153 | − | 0.985761i | \(-0.446220\pi\) |
−0.504822 | + | 0.863223i | \(0.668442\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 6.90033 | − | 11.9517i | 0.258783 | − | 0.448225i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 17.5915 | − | 14.7610i | 0.658808 | − | 0.552805i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 13.1163 | + | 22.7182i | 0.490523 | + | 0.849611i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −2.78106 | + | 15.7722i | −0.103861 | + | 0.589022i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −36.4479 | + | 13.2660i | −1.35928 | + | 0.494736i | −0.915831 | − | 0.401564i | \(-0.868467\pi\) |
−0.443447 | + | 0.896301i | \(0.646244\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −11.2641 | −0.419498 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −25.5817 | −0.951394 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.189540 | − | 0.0689870i | 0.00703935 | − | 0.00256211i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.22446 | − | 35.3007i | 0.230852 | − | 1.30923i | −0.620322 | − | 0.784347i | \(-0.712998\pi\) |
0.851175 | − | 0.524882i | \(-0.175891\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −15.4743 | + | 12.9845i | −0.572338 | + | 0.480249i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.201867 | + | 0.349643i | −0.00745612 | + | 0.0129144i | −0.869729 | − | 0.493529i | \(-0.835707\pi\) |
0.862273 | + | 0.506443i | \(0.169040\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −0.0770768 | − | 0.0280537i | −0.00284302 | − | 0.00103478i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 3.31521 | + | 18.8015i | 0.122117 | + | 0.692561i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.456052 | + | 0.382673i | 0.0167761 | + | 0.0140768i | 0.651137 | − | 0.758960i | \(-0.274292\pi\) |
−0.634361 | + | 0.773037i | \(0.718737\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 22.7408 | + | 3.83742i | 0.835405 | + | 0.140971i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −9.09627 | − | 7.63267i | −0.333710 | − | 0.280016i | 0.460500 | − | 0.887660i | \(-0.347670\pi\) |
−0.794209 | + | 0.607644i | \(0.792115\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.31908 | + | 7.48086i | 0.0483273 | + | 0.274078i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −9.86959 | − | 3.59224i | −0.361109 | − | 0.131433i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 20.6964 | − | 35.8472i | 0.756230 | − | 1.30983i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −4.18067 | + | 3.50800i | −0.152555 | + | 0.128009i | −0.715871 | − | 0.698233i | \(-0.753970\pi\) |
0.563316 | + | 0.826242i | \(0.309526\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −5.34477 | − | 9.25741i | −0.194774 | − | 0.337359i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 1.17617 | − | 6.67042i | 0.0428054 | − | 0.242761i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −11.3645 | + | 4.13635i | −0.413051 | + | 0.150338i | −0.540183 | − | 0.841548i | \(-0.681645\pi\) |
0.127132 | + | 0.991886i | \(0.459423\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −4.95811 | −0.179968 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −18.8726 | −0.684130 | −0.342065 | − | 0.939676i | \(-0.611126\pi\) | ||||
−0.342065 | + | 0.939676i | \(0.611126\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.39470 | − | 1.23557i | 0.122897 | − | 0.0447307i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 1.31908 | − | 7.48086i | 0.0476914 | − | 0.270471i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −13.1163 | − | 22.7182i | −0.473603 | − | 0.820305i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −38.5094 | + | 32.3132i | −1.38868 | + | 1.16524i | −0.422814 | + | 0.906216i | \(0.638958\pi\) |
−0.965870 | + | 0.259028i | \(0.916598\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −15.3897 | + | 26.6557i | −0.554245 | + | 0.959980i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 20.1887 | + | 7.34807i | 0.726136 | + | 0.264292i | 0.678528 | − | 0.734574i | \(-0.262618\pi\) |
0.0476075 | + | 0.998866i | \(0.484840\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.0750174 | + | 0.425445i | 0.00269471 | + | 0.0152824i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −4.68479 | − | 3.93101i | −0.168066 | − | 0.141024i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 31.0139 | − | 5.70431i | 1.11119 | − | 0.204378i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.51161 | + | 6.30299i | 0.268787 | + | 0.225539i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −0.836152 | − | 4.74205i | −0.0298816 | − | 0.169467i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −32.4850 | − | 11.8236i | −1.15944 | − | 0.422002i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −11.2750 | + | 19.5288i | −0.401909 | + | 0.696127i | −0.993956 | − | 0.109776i | \(-0.964987\pi\) |
0.592047 | + | 0.805903i | \(0.298320\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 2.40760 | − | 2.02022i | 0.0857130 | − | 0.0719217i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −22.8136 | − | 39.5143i | −0.811159 | − | 1.40497i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 5.23901 | − | 29.7119i | 0.186043 | − | 1.05510i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −20.5535 | + | 7.48086i | −0.728958 | + | 0.265319i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −27.2098 | −0.963819 | −0.481910 | − | 0.876221i | \(-0.660057\pi\) | ||||
−0.481910 | + | 0.876221i | \(0.660057\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 37.5526 | 1.32852 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −7.34389 | + | 2.67296i | −0.259484 | + | 0.0944443i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 1.08095 | − | 6.13036i | 0.0381458 | − | 0.216336i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −6.57620 | − | 11.3903i | −0.231781 | − | 0.401456i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −11.3990 | + | 9.56488i | −0.401263 | + | 0.336700i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 14.6762 | − | 25.4199i | 0.515987 | − | 0.893715i | −0.483841 | − | 0.875156i | \(-0.660759\pi\) |
0.999828 | − | 0.0185594i | \(-0.00590799\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 17.9547 | + | 6.53498i | 0.630475 | + | 0.229474i | 0.637438 | − | 0.770502i | \(-0.279994\pi\) |
−0.00696301 | + | 0.999976i | \(0.502216\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 2.64543 | + | 15.0030i | 0.0927793 | + | 0.526177i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 7.57145 | + | 6.35320i | 0.265216 | + | 0.222543i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 8.64883 | − | 24.3180i | 0.302584 | − | 0.850780i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −10.7515 | − | 9.02158i | −0.375688 | − | 0.315239i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 0.0730443 | + | 0.414255i | 0.00254926 | + | 0.0144576i | 0.986056 | − | 0.166415i | \(-0.0532190\pi\) |
−0.983507 | + | 0.180872i | \(0.942108\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −34.4286 | − | 12.5310i | −1.20011 | − | 0.436803i | −0.336845 | − | 0.941560i | \(-0.609360\pi\) |
−0.863261 | + | 0.504758i | \(0.831582\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.0466368 | − | 0.0807773i | 0.00162369 | − | 0.00281231i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −22.5876 | + | 18.9533i | −0.785449 | + | 0.659070i | −0.944615 | − | 0.328182i | \(-0.893564\pi\) |
0.159165 | + | 0.987252i | \(0.449120\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2.81315 | + | 4.87252i | 0.0977047 | + | 0.169229i | 0.910734 | − | 0.412993i | \(-0.135517\pi\) |
−0.813030 | + | 0.582222i | \(0.802183\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 2.12015 | − | 12.0240i | 0.0735471 | − | 0.417106i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0.118089 | − | 0.0429807i | 0.00409153 | − | 0.00148919i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −18.1489 | −0.628068 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 10.3131 | 0.356475 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 40.4213 | − | 14.7122i | 1.39550 | − | 0.507920i | 0.468660 | − | 0.883379i | \(-0.344737\pi\) |
0.926839 | + | 0.375458i | \(0.122515\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1.00955 | + | 5.72545i | −0.0348121 | + | 0.197429i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −1.12196 | − | 1.94329i | −0.0386423 | − | 0.0669305i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −25.5744 | + | 21.4595i | −0.879788 | + | 0.738229i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 8.01367 | − | 13.8801i | 0.275353 | − | 0.476925i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 13.8969 | + | 5.05807i | 0.476941 | + | 0.173592i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.891407 | − | 5.05542i | −0.0305570 | − | 0.173298i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 18.1480 | + | 15.2279i | 0.621374 | + | 0.521395i | 0.898235 | − | 0.439515i | \(-0.144850\pi\) |
−0.276861 | + | 0.960910i | \(0.589294\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 3.38666 | + | 9.09586i | 0.115821 | + | 0.311072i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 38.6862 | + | 32.4616i | 1.32150 | + | 1.10887i | 0.985986 | + | 0.166829i | \(0.0533529\pi\) |
0.335509 | + | 0.942037i | \(0.391092\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −0.864066 | − | 4.90036i | −0.0294815 | − | 0.167198i | 0.966512 | − | 0.256620i | \(-0.0826090\pi\) |
−0.995994 | + | 0.0894223i | \(0.971498\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −18.0334 | − | 6.56363i | −0.614578 | − | 0.223688i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −3.95424 | + | 6.84895i | −0.134604 | + | 0.233141i | −0.925446 | − | 0.378879i | \(-0.876310\pi\) |
0.790842 | + | 0.612020i | \(0.209643\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 27.2335 | − | 22.8517i | 0.925968 | − | 0.776980i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −2.68092 | − | 4.64349i | −0.0910489 | − | 0.157701i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 5.33615 | − | 30.2628i | 0.181017 | − | 1.02660i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −42.6279 | + | 15.5153i | −1.44439 | + | 0.525716i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −17.7888 | −0.602060 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 29.7811 | 1.00678 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 7.17664 | − | 2.61208i | 0.242338 | − | 0.0882038i | −0.217996 | − | 0.975950i | \(-0.569952\pi\) |
0.460334 | + | 0.887746i | \(0.347730\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 2.09240 | − | 11.8666i | 0.0705748 | − | 0.400249i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −9.44491 | − | 16.3591i | −0.318207 | − | 0.551151i | 0.661907 | − | 0.749586i | \(-0.269747\pi\) |
−0.980114 | + | 0.198435i | \(0.936414\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −41.1339 | + | 34.5154i | −1.38427 | + | 1.16154i | −0.416662 | + | 0.909062i | \(0.636800\pi\) |
−0.967604 | + | 0.252475i | \(0.918756\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 5.52007 | − | 9.56104i | 0.185555 | − | 0.321391i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −45.8680 | − | 16.6946i | −1.54010 | − | 0.560549i | −0.574028 | − | 0.818836i | \(-0.694620\pi\) |
−0.966068 | + | 0.258286i | \(0.916842\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.07697 | + | 34.4642i | 0.203815 | + | 1.15589i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.70574 | − | 1.43128i | −0.0571443 | − | 0.0479498i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −41.3756 | + | 24.2961i | −1.38458 | + | 0.813037i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 2.47906 | + | 2.08017i | 0.0828657 | + | 0.0695326i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −2.04576 | − | 11.6021i | −0.0683059 | − | 0.387382i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 46.6651 | + | 16.9847i | 1.55637 | + | 0.566472i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 16.7554 | − | 29.0211i | 0.558202 | − | 0.966835i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −12.0326 | + | 10.0965i | −0.400418 | + | 0.335991i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −1.25325 | − | 2.17069i | −0.0416595 | − | 0.0721563i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.04623 | − | 39.9611i | 0.233966 | − | 1.32689i | −0.610814 | − | 0.791774i | \(-0.709158\pi\) |
0.844780 | − | 0.535114i | \(-0.179731\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −16.8268 | + | 6.12446i | −0.558110 | + | 0.203136i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −36.0384 | −1.19400 | −0.597002 | − | 0.802239i | \(-0.703642\pi\) | ||||
−0.597002 | + | 0.802239i | \(0.703642\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −23.3868 | −0.773991 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 11.9315 | − | 4.34273i | 0.394445 | − | 0.143566i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −3.45616 | + | 19.6008i | −0.114132 | + | 0.647277i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 13.0959 | + | 22.6827i | 0.431992 | + | 0.748233i | 0.997045 | − | 0.0768222i | \(-0.0244774\pi\) |
−0.565052 | + | 0.825055i | \(0.691144\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 17.3084 | − | 14.5235i | 0.570331 | − | 0.478565i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −11.6498 | + | 20.1780i | −0.383457 | + | 0.664167i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.0907474 | + | 0.0330293i | 0.00298376 | + | 0.00108600i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −0.737359 | − | 4.18177i | −0.0242181 | − | 0.137347i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 37.0185 | + | 31.0622i | 1.21454 | + | 1.01912i | 0.999092 | + | 0.0426013i | \(0.0135645\pi\) |
0.215445 | + | 0.976516i | \(0.430880\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.102302 | + | 0.123758i | −0.00335282 | + | 0.00405601i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −8.67617 | − | 7.28017i | −0.284045 | − | 0.238342i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −2.93717 | − | 16.6575i | −0.0960556 | − | 0.544758i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −55.6220 | − | 20.2448i | −1.81709 | − | 0.661367i | −0.995873 | − | 0.0907538i | \(-0.971072\pi\) |
−0.821219 | − | 0.570614i | \(-0.806705\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −2.97906 | + | 5.15988i | −0.0972178 | + | 0.168386i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 4.43557 | − | 3.72189i | 0.144596 | − | 0.121330i | −0.567621 | − | 0.823290i | \(-0.692136\pi\) |
0.712216 | + | 0.701960i | \(0.247692\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −8.05438 | − | 13.9506i | −0.262287 | − | 0.454294i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 1.02569 | − | 5.81699i | 0.0333658 | − | 0.189227i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −43.1441 | + | 15.7032i | −1.40200 | + | 0.510285i | −0.928770 | − | 0.370656i | \(-0.879133\pi\) |
−0.473226 | + | 0.880941i | \(0.656911\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 14.7912 | 0.480142 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 8.92396 | 0.289379 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −26.8307 | + | 9.76557i | −0.869131 | + | 0.316338i | −0.737815 | − | 0.675003i | \(-0.764142\pi\) |
−0.131316 | + | 0.991341i | \(0.541920\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.513366 | + | 2.91144i | −0.0166121 | + | 0.0942121i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −5.36097 | − | 9.28547i | −0.173295 | − | 0.300157i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 13.4736 | − | 11.3057i | 0.435085 | − | 0.365080i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −37.6805 | + | 65.2646i | −1.21550 | + | 2.10531i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 14.6630 | + | 5.33688i | 0.472508 | + | 0.171979i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −5.79426 | − | 32.8609i | −0.186524 | − | 1.05783i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 16.9140 | + | 14.1925i | 0.543918 | + | 0.456401i | 0.872875 | − | 0.487944i | \(-0.162253\pi\) |
−0.328958 | + | 0.944345i | \(0.606697\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −12.9324 | − | 7.34013i | −0.415449 | − | 0.235799i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 9.70645 | + | 8.14468i | 0.311495 | + | 0.261375i | 0.785110 | − | 0.619357i | \(-0.212607\pi\) |
−0.473615 | + | 0.880732i | \(0.657051\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.91993 | + | 22.2310i | 0.125667 | + | 0.712694i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0.208263 | + | 0.0758016i | 0.00666976 | + | 0.00242760i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 8.62495 | − | 14.9389i | 0.275937 | − | 0.477936i | −0.694434 | − | 0.719556i | \(-0.744345\pi\) |
0.970371 | + | 0.241620i | \(0.0776787\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −13.3307 | + | 11.1858i | −0.426051 | + | 0.357499i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.680922 | + | 1.17939i | 0.0217402 | + | 0.0376551i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 1.05509 | − | 5.98373i | 0.0336522 | − | 0.190851i | −0.963347 | − | 0.268257i | \(-0.913552\pi\) |
0.997000 | + | 0.0774054i | \(0.0246636\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 48.1413 | − | 17.5220i | 1.53391 | − | 0.558297i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 29.2003 | 0.929455 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −13.1848 | −0.419252 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −9.37851 | + | 3.41350i | −0.297918 | + | 0.108433i | −0.486655 | − | 0.873594i | \(-0.661783\pi\) |
0.188737 | + | 0.982028i | \(0.439561\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 1.15641 | − | 6.55834i | 0.0366976 | − | 0.208123i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −10.7802 | − | 18.6718i | −0.341755 | − | 0.591937i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 19.3840 | − | 16.2651i | 0.613897 | − | 0.515120i | −0.281982 | − | 0.959420i | \(-0.590992\pi\) |
0.895878 | + | 0.444299i | \(0.146547\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 1.15270 | − | 1.99654i | 0.0364699 | − | 0.0631678i |
(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 | 912.2.bo.a.529.1 | 6 | ||
4.3 | odd | 2 | 114.2.i.a.73.1 | yes | 6 | ||
12.11 | even | 2 | 342.2.u.e.73.1 | 6 | |||
19.6 | even | 9 | inner | 912.2.bo.a.481.1 | 6 | ||
76.43 | odd | 18 | 2166.2.a.q.1.1 | 3 | |||
76.63 | odd | 18 | 114.2.i.a.25.1 | ✓ | 6 | ||
76.71 | even | 18 | 2166.2.a.s.1.1 | 3 | |||
228.71 | odd | 18 | 6498.2.a.bm.1.3 | 3 | |||
228.119 | even | 18 | 6498.2.a.br.1.3 | 3 | |||
228.215 | even | 18 | 342.2.u.e.253.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.i.a.25.1 | ✓ | 6 | 76.63 | odd | 18 | ||
114.2.i.a.73.1 | yes | 6 | 4.3 | odd | 2 | ||
342.2.u.e.73.1 | 6 | 12.11 | even | 2 | |||
342.2.u.e.253.1 | 6 | 228.215 | even | 18 | |||
912.2.bo.a.481.1 | 6 | 19.6 | even | 9 | inner | ||
912.2.bo.a.529.1 | 6 | 1.1 | even | 1 | trivial | ||
2166.2.a.q.1.1 | 3 | 76.43 | odd | 18 | |||
2166.2.a.s.1.1 | 3 | 76.71 | even | 18 | |||
6498.2.a.bm.1.3 | 3 | 228.71 | odd | 18 | |||
6498.2.a.br.1.3 | 3 | 228.119 | even | 18 |