Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [342,2,Mod(55,342)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(342, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("342.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 342 = 2 \cdot 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 342.u (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: | \(2.73088374913\) |
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: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 114) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 199.1 | ||
Root | \(-0.173648 - 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 342.199 |
Dual form | 342.2.u.a.55.1 |
$q$-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 \(\left(\mathbb{Z}/342\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(325\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.173648 | + | 0.984808i | 0.122788 | + | 0.696364i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | −3.20574 | − | 1.16679i | −1.43365 | − | 0.521806i | −0.495674 | − | 0.868509i | \(-0.665079\pi\) |
−0.937975 | + | 0.346703i | \(0.887301\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.43969 | − | 2.49362i | 0.544153 | − | 0.942500i | −0.454507 | − | 0.890743i | \(-0.650185\pi\) |
0.998660 | − | 0.0517569i | \(-0.0164821\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.592396 | − | 3.35965i | 0.187332 | − | 1.06241i | ||||
\(11\) | −0.173648 | − | 0.300767i | −0.0523569 | − | 0.0906848i | 0.838659 | − | 0.544657i | \(-0.183340\pi\) |
−0.891016 | + | 0.453972i | \(0.850007\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.26604 | − | 1.06234i | −0.351138 | − | 0.294639i | 0.450109 | − | 0.892974i | \(-0.351385\pi\) |
−0.801247 | + | 0.598334i | \(0.795830\pi\) | |||||||
\(14\) | 2.70574 | + | 0.984808i | 0.723139 | + | 0.263201i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | −1.20574 | − | 6.83807i | −0.292434 | − | 1.65848i | −0.677452 | − | 0.735567i | \(-0.736916\pi\) |
0.385017 | − | 0.922909i | \(-0.374195\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.82635 | − | 3.31839i | −0.648410 | − | 0.761292i | ||||
\(20\) | 3.41147 | 0.762829 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.266044 | − | 0.223238i | 0.0567209 | − | 0.0475945i | ||||
\(23\) | 6.39053 | − | 2.32596i | 1.33252 | − | 0.484997i | 0.425069 | − | 0.905161i | \(-0.360250\pi\) |
0.907448 | + | 0.420164i | \(0.138027\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 5.08512 | + | 4.26692i | 1.01702 | + | 0.853385i | ||||
\(26\) | 0.826352 | − | 1.43128i | 0.162061 | − | 0.280698i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.500000 | + | 2.83564i | −0.0944911 | + | 0.535886i | ||||
\(29\) | −1.10354 | + | 6.25849i | −0.204922 | + | 1.16217i | 0.692640 | + | 0.721284i | \(0.256448\pi\) |
−0.897562 | + | 0.440888i | \(0.854663\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.798133 | + | 1.38241i | −0.143349 | + | 0.248288i | −0.928756 | − | 0.370692i | \(-0.879120\pi\) |
0.785407 | + | 0.618980i | \(0.212454\pi\) | |||||||
\(32\) | 0.766044 | + | 0.642788i | 0.135419 | + | 0.113630i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.52481 | − | 2.37484i | 1.11900 | − | 0.407281i | ||||
\(35\) | −7.52481 | + | 6.31407i | −1.27193 | + | 1.06727i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −11.2121 | −1.84326 | −0.921632 | − | 0.388066i | \(-0.873143\pi\) | ||||
−0.921632 | + | 0.388066i | \(0.873143\pi\) | |||||||
\(38\) | 2.77719 | − | 3.35965i | 0.450520 | − | 0.545007i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.592396 | + | 3.35965i | 0.0936661 | + | 0.531207i | ||||
\(41\) | 2.67365 | − | 2.24346i | 0.417554 | − | 0.350369i | −0.409678 | − | 0.912230i | \(-0.634359\pi\) |
0.827232 | + | 0.561861i | \(0.189914\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.14543 | − | 0.780873i | −0.327175 | − | 0.119082i | 0.173210 | − | 0.984885i | \(-0.444586\pi\) |
−0.500385 | + | 0.865803i | \(0.666808\pi\) | |||||||
\(44\) | 0.266044 | + | 0.223238i | 0.0401077 | + | 0.0336544i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.40033 | + | 5.88954i | 0.501351 | + | 0.868366i | ||||
\(47\) | −0.971782 | + | 5.51125i | −0.141749 | + | 0.803898i | 0.828171 | + | 0.560475i | \(0.189381\pi\) |
−0.969920 | + | 0.243423i | \(0.921730\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.645430 | − | 1.11792i | −0.0922042 | − | 0.159702i | ||||
\(50\) | −3.31908 | + | 5.74881i | −0.469388 | + | 0.813005i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.55303 | + | 0.565258i | 0.215367 | + | 0.0783872i | ||||
\(53\) | 1.86097 | − | 0.677337i | 0.255623 | − | 0.0930393i | −0.211030 | − | 0.977480i | \(-0.567682\pi\) |
0.466653 | + | 0.884440i | \(0.345460\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.205737 | + | 1.16679i | 0.0277416 | + | 0.157330i | ||||
\(56\) | −2.87939 | −0.384774 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.35504 | −0.834457 | ||||||||
\(59\) | −0.0773815 | − | 0.438852i | −0.0100742 | − | 0.0571337i | 0.979356 | − | 0.202142i | \(-0.0647902\pi\) |
−0.989430 | + | 0.145008i | \(0.953679\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 11.7763 | − | 4.28623i | 1.50780 | − | 0.548795i | 0.549735 | − | 0.835339i | \(-0.314729\pi\) |
0.958067 | + | 0.286544i | \(0.0925064\pi\) | |||||||
\(62\) | −1.50000 | − | 0.545955i | −0.190500 | − | 0.0693364i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 2.81908 | + | 4.88279i | 0.349664 | + | 0.605635i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.187319 | + | 1.06234i | −0.0228846 | + | 0.129785i | −0.994110 | − | 0.108378i | \(-0.965434\pi\) |
0.971225 | + | 0.238163i | \(0.0765454\pi\) | |||||||
\(68\) | 3.47178 | + | 6.01330i | 0.421015 | + | 0.729220i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −7.52481 | − | 6.31407i | −0.899387 | − | 0.754676i | ||||
\(71\) | −15.6211 | − | 5.68561i | −1.85388 | − | 0.674758i | −0.983095 | − | 0.183096i | \(-0.941388\pi\) |
−0.870786 | − | 0.491662i | \(-0.836390\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 9.51367 | − | 7.98292i | 1.11349 | − | 0.934330i | 0.115233 | − | 0.993338i | \(-0.463238\pi\) |
0.998257 | + | 0.0590086i | \(0.0187939\pi\) | |||||||
\(74\) | −1.94697 | − | 11.0418i | −0.226330 | − | 1.28358i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.79086 | + | 2.15160i | 0.434841 | + | 0.246806i | ||||
\(77\) | −1.00000 | −0.113961 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.36824 | + | 7.02179i | −0.941501 | + | 0.790013i | −0.977846 | − | 0.209326i | \(-0.932873\pi\) |
0.0363452 | + | 0.999339i | \(0.488428\pi\) | |||||||
\(80\) | −3.20574 | + | 1.16679i | −0.358412 | + | 0.130451i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.67365 | + | 2.24346i | 0.295255 | + | 0.247748i | ||||
\(83\) | 5.85844 | − | 10.1471i | 0.643047 | − | 1.11379i | −0.341701 | − | 0.939809i | \(-0.611003\pi\) |
0.984749 | − | 0.173982i | \(-0.0556635\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.11334 | + | 23.3279i | −0.446154 | + | 2.53027i | ||||
\(86\) | 0.396459 | − | 2.24843i | 0.0427513 | − | 0.242455i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.173648 | + | 0.300767i | −0.0185110 | + | 0.0320619i | ||||
\(89\) | −1.37346 | − | 1.15247i | −0.145586 | − | 0.122161i | 0.567086 | − | 0.823659i | \(-0.308071\pi\) |
−0.712672 | + | 0.701497i | \(0.752515\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.47178 | + | 1.62760i | −0.468770 | + | 0.170618i | ||||
\(92\) | −5.20961 | + | 4.37138i | −0.543139 | + | 0.455748i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −5.59627 | −0.577211 | ||||||||
\(95\) | 5.18866 | + | 13.9357i | 0.532346 | + | 1.42977i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.634285 | + | 3.59721i | 0.0644019 | + | 0.365241i | 0.999928 | + | 0.0119843i | \(0.00381481\pi\) |
−0.935526 | + | 0.353257i | \(0.885074\pi\) | |||||||
\(98\) | 0.988856 | − | 0.829748i | 0.0998895 | − | 0.0838172i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −6.23783 | − | 2.27038i | −0.623783 | − | 0.227038i | ||||
\(101\) | 7.58899 | + | 6.36792i | 0.755133 | + | 0.633632i | 0.936855 | − | 0.349718i | \(-0.113723\pi\) |
−0.181722 | + | 0.983350i | \(0.558167\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.92262 | − | 6.79417i | −0.386507 | − | 0.669450i | 0.605470 | − | 0.795868i | \(-0.292985\pi\) |
−0.991977 | + | 0.126418i | \(0.959652\pi\) | |||||||
\(104\) | −0.286989 | + | 1.62760i | −0.0281416 | + | 0.159599i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.990200 | + | 1.71508i | 0.0961767 | + | 0.166583i | ||||
\(107\) | −0.0136706 | + | 0.0236781i | −0.00132158 | + | 0.00228905i | −0.866685 | − | 0.498855i | \(-0.833754\pi\) |
0.865364 | + | 0.501144i | \(0.167087\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 10.1236 | + | 3.68469i | 0.969666 | + | 0.352929i | 0.777814 | − | 0.628494i | \(-0.216329\pi\) |
0.191852 | + | 0.981424i | \(0.438551\pi\) | |||||||
\(110\) | −1.11334 | + | 0.405223i | −0.106153 | + | 0.0386365i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.500000 | − | 2.83564i | −0.0472456 | − | 0.267943i | ||||
\(113\) | 11.6604 | 1.09692 | 0.548461 | − | 0.836176i | \(-0.315214\pi\) | ||||
0.548461 | + | 0.836176i | \(0.315214\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −23.2003 | −2.16344 | ||||||||
\(116\) | −1.10354 | − | 6.25849i | −0.102461 | − | 0.581086i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.418748 | − | 0.152412i | 0.0385489 | − | 0.0140306i | ||||
\(119\) | −18.7875 | − | 6.83807i | −1.72224 | − | 0.626845i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.43969 | − | 9.42182i | 0.494518 | − | 0.856529i | ||||
\(122\) | 6.26604 | + | 10.8531i | 0.567301 | + | 0.982594i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.277189 | − | 1.57202i | 0.0248923 | − | 0.141171i | ||||
\(125\) | −2.79426 | − | 4.83981i | −0.249926 | − | 0.432885i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.4192 | + | 10.4210i | 1.10203 | + | 0.924711i | 0.997560 | − | 0.0698178i | \(-0.0222418\pi\) |
0.104467 | + | 0.994528i | \(0.466686\pi\) | |||||||
\(128\) | −0.939693 | − | 0.342020i | −0.0830579 | − | 0.0302306i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.31908 | + | 3.62414i | −0.378808 | + | 0.317858i | ||||
\(131\) | 0.486329 | + | 2.75811i | 0.0424908 | + | 0.240977i | 0.998655 | − | 0.0518550i | \(-0.0165134\pi\) |
−0.956164 | + | 0.292832i | \(0.905402\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −12.3439 | + | 2.27038i | −1.07035 | + | 0.196867i | ||||
\(134\) | −1.07873 | −0.0931877 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.31908 | + | 4.46324i | −0.456107 | + | 0.382719i | ||||
\(137\) | 15.0680 | − | 5.48432i | 1.28735 | − | 0.468557i | 0.394494 | − | 0.918899i | \(-0.370920\pi\) |
0.892856 | + | 0.450341i | \(0.148698\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.59240 | − | 1.33618i | −0.135065 | − | 0.113333i | 0.572752 | − | 0.819728i | \(-0.305876\pi\) |
−0.707818 | + | 0.706395i | \(0.750320\pi\) | |||||||
\(140\) | 4.91147 | − | 8.50692i | 0.415095 | − | 0.718966i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.88666 | − | 16.3711i | 0.242243 | − | 1.37383i | ||||
\(143\) | −0.0996702 | + | 0.565258i | −0.00833484 | + | 0.0472692i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 10.8400 | − | 18.7755i | 0.900215 | − | 1.55922i | ||||
\(146\) | 9.51367 | + | 7.98292i | 0.787357 | + | 0.660671i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 10.5360 | − | 3.83478i | 0.866051 | − | 0.315217i | ||||
\(149\) | 1.27719 | − | 1.07169i | 0.104631 | − | 0.0877962i | −0.588971 | − | 0.808154i | \(-0.700467\pi\) |
0.693603 | + | 0.720358i | \(0.256022\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 20.0523 | 1.63183 | 0.815917 | − | 0.578169i | \(-0.196232\pi\) | ||||
0.815917 | + | 0.578169i | \(0.196232\pi\) | |||||||
\(152\) | −1.46064 | + | 4.10689i | −0.118473 | + | 0.333113i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.173648 | − | 0.984808i | −0.0139930 | − | 0.0793581i | ||||
\(155\) | 4.17159 | − | 3.50038i | 0.335070 | − | 0.281157i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.85117 | + | 1.40171i | 0.307357 | + | 0.111869i | 0.491094 | − | 0.871107i | \(-0.336597\pi\) |
−0.183737 | + | 0.982975i | \(0.558820\pi\) | |||||||
\(158\) | −8.36824 | − | 7.02179i | −0.665741 | − | 0.558623i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.70574 | − | 2.95442i | −0.134850 | − | 0.233568i | ||||
\(161\) | 3.40033 | − | 19.2842i | 0.267984 | − | 1.51981i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.06758 | + | 7.04526i | 0.318598 | + | 0.551827i | 0.980196 | − | 0.198031i | \(-0.0634548\pi\) |
−0.661598 | + | 0.749859i | \(0.730121\pi\) | |||||||
\(164\) | −1.74510 | + | 3.02260i | −0.136269 | + | 0.236026i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 11.0103 | + | 4.00741i | 0.854562 | + | 0.311035i | ||||
\(167\) | −12.5890 | + | 4.58202i | −0.974166 | + | 0.354567i | −0.779569 | − | 0.626316i | \(-0.784562\pi\) |
−0.194596 | + | 0.980883i | \(0.562340\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.78312 | − | 10.1126i | −0.137163 | − | 0.777890i | ||||
\(170\) | −23.6878 | −1.81677 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.28312 | 0.174086 | ||||||||
\(173\) | 0.177519 | + | 1.00676i | 0.0134965 | + | 0.0765424i | 0.990812 | − | 0.135246i | \(-0.0431824\pi\) |
−0.977316 | + | 0.211788i | \(0.932071\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 17.9611 | − | 6.53731i | 1.35773 | − | 0.494174i | ||||
\(176\) | −0.326352 | − | 0.118782i | −0.0245997 | − | 0.00895356i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.896459 | − | 1.55271i | 0.0671925 | − | 0.116381i | ||||
\(179\) | 1.01754 | + | 1.76243i | 0.0760546 | + | 0.131730i | 0.901544 | − | 0.432687i | \(-0.142434\pi\) |
−0.825490 | + | 0.564417i | \(0.809101\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.87299 | − | 21.9648i | 0.287877 | − | 1.63263i | −0.406947 | − | 0.913452i | \(-0.633407\pi\) |
0.694824 | − | 0.719180i | \(-0.255482\pi\) | |||||||
\(182\) | −2.37939 | − | 4.12122i | −0.176372 | − | 0.305485i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −5.20961 | − | 4.37138i | −0.384057 | − | 0.322262i | ||||
\(185\) | 35.9432 | + | 13.0822i | 2.64259 | + | 0.961825i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.84730 | + | 1.55007i | −0.135088 | + | 0.113352i | ||||
\(188\) | −0.971782 | − | 5.51125i | −0.0708745 | − | 0.401949i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −12.8229 | + | 7.52974i | −0.930274 | + | 0.546265i | ||||
\(191\) | −10.7861 | −0.780456 | −0.390228 | − | 0.920718i | \(-0.627604\pi\) | ||||
−0.390228 | + | 0.920718i | \(0.627604\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.19459 | + | 1.84148i | −0.157970 | + | 0.132553i | −0.718347 | − | 0.695685i | \(-0.755101\pi\) |
0.560377 | + | 0.828238i | \(0.310656\pi\) | |||||||
\(194\) | −3.43242 | + | 1.24930i | −0.246433 | + | 0.0896944i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.988856 | + | 0.829748i | 0.0706325 | + | 0.0592677i | ||||
\(197\) | −4.16772 | + | 7.21870i | −0.296938 | + | 0.514311i | −0.975434 | − | 0.220293i | \(-0.929299\pi\) |
0.678496 | + | 0.734604i | \(0.262632\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.526874 | + | 2.98805i | −0.0373491 | + | 0.211817i | −0.997771 | − | 0.0667324i | \(-0.978743\pi\) |
0.960422 | + | 0.278550i | \(0.0898537\pi\) | |||||||
\(200\) | 1.15270 | − | 6.53731i | 0.0815085 | − | 0.462257i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −4.95336 | + | 8.57948i | −0.348517 | + | 0.603650i | ||||
\(203\) | 14.0175 | + | 11.7621i | 0.983839 | + | 0.825539i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −11.1887 | + | 4.07234i | −0.781450 | + | 0.284425i | ||||
\(206\) | 6.00980 | − | 5.04282i | 0.418723 | − | 0.351350i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.65270 | −0.114594 | ||||||||
\(209\) | −0.507274 | + | 1.42631i | −0.0350889 | + | 0.0986598i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.88919 | − | 16.3854i | −0.198900 | − | 1.12802i | −0.906755 | − | 0.421659i | \(-0.861448\pi\) |
0.707855 | − | 0.706358i | \(-0.249663\pi\) | |||||||
\(212\) | −1.51707 | + | 1.27298i | −0.104193 | + | 0.0874284i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.0256923 | − | 0.00935122i | −0.00175629 | − | 0.000639236i | ||||
\(215\) | 5.96657 | + | 5.00654i | 0.406916 | + | 0.341443i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.29813 | + | 3.98048i | 0.156007 | + | 0.270213i | ||||
\(218\) | −1.87077 | + | 10.6096i | −0.126704 | + | 0.718576i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.592396 | − | 1.02606i | −0.0399393 | − | 0.0691770i | ||||
\(221\) | −5.73783 | + | 9.93821i | −0.385968 | + | 0.668516i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.67752 | + | 2.79439i | 0.514125 | + | 0.187126i | 0.586036 | − | 0.810285i | \(-0.300688\pi\) |
−0.0719114 | + | 0.997411i | \(0.522910\pi\) | |||||||
\(224\) | 2.70574 | − | 0.984808i | 0.180785 | − | 0.0658002i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.02481 | + | 11.4833i | 0.134689 | + | 0.763857i | ||||
\(227\) | −1.80066 | −0.119514 | −0.0597570 | − | 0.998213i | \(-0.519033\pi\) | ||||
−0.0597570 | + | 0.998213i | \(0.519033\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −18.7392 | −1.23832 | −0.619160 | − | 0.785265i | \(-0.712527\pi\) | ||||
−0.619160 | + | 0.785265i | \(0.712527\pi\) | |||||||
\(230\) | −4.02869 | − | 22.8478i | −0.265644 | − | 1.50654i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 5.97178 | − | 2.17355i | 0.392067 | − | 0.142701i | ||||
\(233\) | −3.85117 | − | 1.40171i | −0.252298 | − | 0.0918291i | 0.212775 | − | 0.977101i | \(-0.431750\pi\) |
−0.465073 | + | 0.885272i | \(0.653972\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 9.54576 | − | 16.5337i | 0.622697 | − | 1.07854i | ||||
\(236\) | 0.222811 | + | 0.385920i | 0.0145038 | + | 0.0251213i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 3.47178 | − | 19.6895i | 0.225042 | − | 1.27628i | ||||
\(239\) | −14.1138 | − | 24.4458i | −0.912946 | − | 1.58127i | −0.809881 | − | 0.586595i | \(-0.800468\pi\) |
−0.103066 | − | 0.994675i | \(-0.532865\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.02687 | + | 4.21805i | 0.323809 | + | 0.271708i | 0.790172 | − | 0.612885i | \(-0.209991\pi\) |
−0.466362 | + | 0.884594i | \(0.654436\pi\) | |||||||
\(242\) | 10.2233 | + | 3.72097i | 0.657177 | + | 0.239193i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −9.60014 | + | 8.05547i | −0.614586 | + | 0.515699i | ||||
\(245\) | 0.764700 | + | 4.33683i | 0.0488549 | + | 0.277070i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.0530334 | + | 7.20377i | 0.00337444 | + | 0.458365i | ||||
\(248\) | 1.59627 | 0.101363 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 4.28106 | − | 3.59224i | 0.270758 | − | 0.227193i | ||||
\(251\) | 8.35756 | − | 3.04190i | 0.527525 | − | 0.192003i | −0.0645080 | − | 0.997917i | \(-0.520548\pi\) |
0.592033 | + | 0.805914i | \(0.298326\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.80928 | − | 1.51816i | −0.113748 | − | 0.0954462i | ||||
\(254\) | −8.10607 | + | 14.0401i | −0.508620 | + | 0.880955i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 2.33837 | − | 13.2616i | 0.145864 | − | 0.827234i | −0.820806 | − | 0.571207i | \(-0.806475\pi\) |
0.966670 | − | 0.256027i | \(-0.0824136\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −16.1420 | + | 27.9588i | −1.00302 | + | 1.73728i | ||||
\(260\) | −4.31908 | − | 3.62414i | −0.267858 | − | 0.224759i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.63176 | + | 0.957882i | −0.162591 | + | 0.0591781i | ||||
\(263\) | 12.8327 | − | 10.7680i | 0.791301 | − | 0.663981i | −0.154766 | − | 0.987951i | \(-0.549462\pi\) |
0.946067 | + | 0.323971i | \(0.105018\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.75608 | −0.415023 | ||||||||
\(266\) | −4.37939 | − | 11.7621i | −0.268517 | − | 0.721181i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.187319 | − | 1.06234i | −0.0114423 | − | 0.0648926i | ||||
\(269\) | −2.74969 | + | 2.30726i | −0.167651 | + | 0.140676i | −0.722753 | − | 0.691106i | \(-0.757124\pi\) |
0.555102 | + | 0.831782i | \(0.312679\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −22.5141 | − | 8.19448i | −1.36764 | − | 0.497779i | −0.449230 | − | 0.893416i | \(-0.648301\pi\) |
−0.918407 | + | 0.395637i | \(0.870524\pi\) | |||||||
\(272\) | −5.31908 | − | 4.46324i | −0.322516 | − | 0.270623i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 8.01754 | + | 13.8868i | 0.484357 | + | 0.838932i | ||||
\(275\) | 0.400330 | − | 2.27038i | 0.0241408 | − | 0.136909i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.36097 | + | 16.2137i | 0.562446 | + | 0.974185i | 0.997282 | + | 0.0736755i | \(0.0234729\pi\) |
−0.434836 | + | 0.900510i | \(0.643194\pi\) | |||||||
\(278\) | 1.03936 | − | 1.80023i | 0.0623368 | − | 0.107971i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 9.23055 | + | 3.35965i | 0.551631 | + | 0.200777i | ||||
\(281\) | −9.99660 | + | 3.63846i | −0.596347 | + | 0.217053i | −0.622519 | − | 0.782605i | \(-0.713891\pi\) |
0.0261718 | + | 0.999657i | \(0.491668\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.43330 | − | 13.7999i | −0.144644 | − | 0.820319i | −0.967652 | − | 0.252289i | \(-0.918817\pi\) |
0.823008 | − | 0.568030i | \(-0.192294\pi\) | |||||||
\(284\) | 16.6236 | 0.986430 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.573978 | −0.0339400 | ||||||||
\(287\) | −1.74510 | − | 9.89695i | −0.103010 | − | 0.584199i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −29.3307 | + | 10.6755i | −1.72533 | + | 0.627970i | ||||
\(290\) | 20.3726 | + | 7.41501i | 1.19632 | + | 0.435424i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −6.20961 | + | 10.7554i | −0.363390 | + | 0.629410i | ||||
\(293\) | −5.76011 | − | 9.97681i | −0.336509 | − | 0.582852i | 0.647264 | − | 0.762266i | \(-0.275913\pi\) |
−0.983774 | + | 0.179414i | \(0.942580\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.263985 | + | 1.49713i | −0.0153698 | + | 0.0871665i | ||||
\(296\) | 5.60607 | + | 9.70999i | 0.325846 | + | 0.564382i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.27719 | + | 1.07169i | 0.0739856 | + | 0.0620813i | ||||
\(299\) | −10.5617 | − | 3.84413i | −0.610796 | − | 0.222312i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.03596 | + | 4.22567i | −0.290268 | + | 0.243564i | ||||
\(302\) | 3.48205 | + | 19.7477i | 0.200369 | + | 1.13635i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −4.29813 | − | 0.725293i | −0.246515 | − | 0.0415984i | ||||
\(305\) | −42.7529 | −2.44802 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.29220 | − | 2.76249i | 0.187896 | − | 0.157663i | −0.543987 | − | 0.839093i | \(-0.683086\pi\) |
0.731883 | + | 0.681430i | \(0.238642\pi\) | |||||||
\(308\) | 0.939693 | − | 0.342020i | 0.0535440 | − | 0.0194884i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.17159 | + | 3.50038i | 0.236930 | + | 0.198808i | ||||
\(311\) | −11.4966 | + | 19.9127i | −0.651912 | + | 1.12915i | 0.330746 | + | 0.943720i | \(0.392700\pi\) |
−0.982658 | + | 0.185425i | \(0.940634\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.59926 | + | 9.06985i | −0.0903955 | + | 0.512658i | 0.905666 | + | 0.423992i | \(0.139372\pi\) |
−0.996061 | + | 0.0886663i | \(0.971740\pi\) | |||||||
\(314\) | −0.711667 | + | 4.03606i | −0.0401617 | + | 0.227768i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 5.46198 | − | 9.46043i | 0.307260 | − | 0.532191i | ||||
\(317\) | −2.57011 | − | 2.15658i | −0.144352 | − | 0.121125i | 0.567752 | − | 0.823199i | \(-0.307813\pi\) |
−0.712104 | + | 0.702074i | \(0.752258\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.07398 | − | 0.754866i | 0.116120 | − | 0.0422644i | ||||
\(320\) | 2.61334 | − | 2.19285i | 0.146090 | − | 0.122584i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 19.5817 | 1.09125 | ||||||||
\(323\) | −19.2836 | + | 23.3279i | −1.07297 | + | 1.29800i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.90508 | − | 10.8042i | −0.105675 | − | 0.599311i | ||||
\(326\) | −6.23190 | + | 5.22918i | −0.345153 | + | 0.289618i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −3.27972 | − | 1.19372i | −0.181092 | − | 0.0659121i | ||||
\(329\) | 12.3439 | + | 10.3578i | 0.680541 | + | 0.571042i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.0371 | + | 19.1169i | 0.606656 | + | 1.05076i | 0.991787 | + | 0.127897i | \(0.0408228\pi\) |
−0.385131 | + | 0.922862i | \(0.625844\pi\) | |||||||
\(332\) | −2.03462 | + | 11.5389i | −0.111664 | + | 0.633278i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −6.69846 | − | 11.6021i | −0.366524 | − | 0.634837i | ||||
\(335\) | 1.84002 | − | 3.18701i | 0.100531 | − | 0.174125i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 12.3255 | + | 4.48611i | 0.671411 | + | 0.244374i | 0.655155 | − | 0.755494i | \(-0.272603\pi\) |
0.0162559 | + | 0.999868i | \(0.494825\pi\) | |||||||
\(338\) | 9.64930 | − | 3.51206i | 0.524853 | − | 0.191031i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.11334 | − | 23.3279i | −0.223077 | − | 1.26513i | ||||
\(341\) | 0.554378 | 0.0300212 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.4388 | 0.887613 | ||||||||
\(344\) | 0.396459 | + | 2.24843i | 0.0213757 | + | 0.121227i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.960637 | + | 0.349643i | −0.0516442 | + | 0.0187969i | ||||
\(347\) | 8.23055 | + | 2.99568i | 0.441839 | + | 0.160816i | 0.553354 | − | 0.832947i | \(-0.313348\pi\) |
−0.111514 | + | 0.993763i | \(0.535570\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.63176 | + | 2.82629i | −0.0873461 | + | 0.151288i | −0.906389 | − | 0.422445i | \(-0.861172\pi\) |
0.819042 | + | 0.573733i | \(0.194505\pi\) | |||||||
\(350\) | 9.55690 | + | 16.5530i | 0.510838 | + | 0.884797i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.0603074 | − | 0.342020i | 0.00321439 | − | 0.0182297i | ||||
\(353\) | 14.5419 | + | 25.1873i | 0.773987 | + | 1.34058i | 0.935362 | + | 0.353691i | \(0.115074\pi\) |
−0.161376 | + | 0.986893i | \(0.551593\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 43.4432 | + | 36.4531i | 2.30572 | + | 1.93473i | ||||
\(356\) | 1.68479 | + | 0.613214i | 0.0892938 | + | 0.0325003i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.55896 | + | 1.30813i | −0.0823938 | + | 0.0691366i | ||||
\(359\) | −1.14796 | − | 6.51038i | −0.0605868 | − | 0.343605i | −1.00000 | 0.000817017i | \(-0.999740\pi\) | |
0.939413 | − | 0.342788i | \(-0.111371\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.02347 | + | 18.7579i | −0.159130 | + | 0.987258i | ||||
\(362\) | 22.3037 | 1.17225 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.64543 | − | 3.05888i | 0.191072 | − | 0.160329i | ||||
\(365\) | −39.8127 | + | 14.4907i | −2.08389 | + | 0.758475i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4.43969 | − | 3.72534i | −0.231750 | − | 0.194461i | 0.519516 | − | 0.854461i | \(-0.326112\pi\) |
−0.751266 | + | 0.659999i | \(0.770557\pi\) | |||||||
\(368\) | 3.40033 | − | 5.88954i | 0.177254 | − | 0.307014i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −6.64203 | + | 37.6688i | −0.345302 | + | 1.95831i | ||||
\(371\) | 0.990200 | − | 5.61570i | 0.0514086 | − | 0.291553i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.9449 | − | 22.4212i | 0.670262 | − | 1.16093i | −0.307568 | − | 0.951526i | \(-0.599515\pi\) |
0.977830 | − | 0.209401i | \(-0.0671516\pi\) | |||||||
\(374\) | −1.84730 | − | 1.55007i | −0.0955214 | − | 0.0801520i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.25877 | − | 1.91404i | 0.271200 | − | 0.0987089i | ||||
\(377\) | 8.04576 | − | 6.75119i | 0.414378 | − | 0.347704i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −19.1557 | −0.983962 | −0.491981 | − | 0.870606i | \(-0.663727\pi\) | ||||
−0.491981 | + | 0.870606i | \(0.663727\pi\) | |||||||
\(380\) | −9.64203 | − | 11.3206i | −0.494626 | − | 0.580735i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.87299 | − | 10.6222i | −0.0958304 | − | 0.543481i | ||||
\(383\) | 7.42649 | − | 6.23156i | 0.379476 | − | 0.318418i | −0.433021 | − | 0.901384i | \(-0.642552\pi\) |
0.812497 | + | 0.582966i | \(0.198108\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.20574 | + | 1.16679i | 0.163379 | + | 0.0594653i | ||||
\(386\) | −2.19459 | − | 1.84148i | −0.111702 | − | 0.0937290i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −1.82635 | − | 3.16333i | −0.0927190 | − | 0.160594i | ||||
\(389\) | 0.142026 | − | 0.805470i | 0.00720101 | − | 0.0408390i | −0.980996 | − | 0.194030i | \(-0.937844\pi\) |
0.988197 | + | 0.153191i | \(0.0489551\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −23.6104 | − | 40.8944i | −1.19403 | − | 2.06812i | ||||
\(392\) | −0.645430 | + | 1.11792i | −0.0325991 | + | 0.0564633i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −7.83275 | − | 2.85089i | −0.394608 | − | 0.143626i | ||||
\(395\) | 35.0194 | − | 12.7460i | 1.76201 | − | 0.641321i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.642026 | − | 3.64111i | −0.0322224 | − | 0.182742i | 0.964449 | − | 0.264270i | \(-0.0851311\pi\) |
−0.996671 | + | 0.0815281i | \(0.974020\pi\) | |||||||
\(398\) | −3.03415 | −0.152088 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 6.63816 | 0.331908 | ||||||||
\(401\) | 3.77513 | + | 21.4098i | 0.188521 | + | 1.06916i | 0.921347 | + | 0.388740i | \(0.127090\pi\) |
−0.732827 | + | 0.680416i | \(0.761799\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.47906 | − | 0.902302i | 0.123491 | − | 0.0449469i | ||||
\(404\) | −9.30928 | − | 3.38830i | −0.463154 | − | 0.168574i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −9.14930 | + | 15.8471i | −0.454072 | + | 0.786476i | ||||
\(407\) | 1.94697 | + | 3.37225i | 0.0965076 | + | 0.167156i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.704088 | + | 3.99308i | −0.0348149 | + | 0.197445i | −0.997254 | − | 0.0740509i | \(-0.976407\pi\) |
0.962440 | + | 0.271496i | \(0.0875184\pi\) | |||||||
\(410\) | −5.95336 | − | 10.3115i | −0.294016 | − | 0.509250i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 6.00980 | + | 5.04282i | 0.296082 | + | 0.248442i | ||||
\(413\) | −1.20574 | − | 0.438852i | −0.0593304 | − | 0.0215945i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −30.6202 | + | 25.6934i | −1.50309 | + | 1.26124i | ||||
\(416\) | −0.286989 | − | 1.62760i | −0.0140708 | − | 0.0797994i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.49273 | − | 0.251892i | −0.0730116 | − | 0.0123204i | ||||
\(419\) | −23.4989 | −1.14800 | −0.573998 | − | 0.818857i | \(-0.694608\pi\) | ||||
−0.573998 | + | 0.818857i | \(0.694608\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −17.6748 | + | 14.8309i | −0.861419 | + | 0.722816i | −0.962273 | − | 0.272085i | \(-0.912287\pi\) |
0.100855 | + | 0.994901i | \(0.467842\pi\) | |||||||
\(422\) | 15.6348 | − | 5.69058i | 0.761088 | − | 0.277013i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.51707 | − | 1.27298i | −0.0736756 | − | 0.0618212i | ||||
\(425\) | 23.0462 | − | 39.9172i | 1.11791 | − | 1.93627i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.26604 | − | 35.5365i | 0.303235 | − | 1.71973i | ||||
\(428\) | 0.00474774 | − | 0.0269258i | 0.000229491 | − | 0.00130151i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.89440 | + | 6.74530i | −0.187805 | + | 0.325287i | ||||
\(431\) | 2.69253 | + | 2.25930i | 0.129695 | + | 0.108827i | 0.705328 | − | 0.708881i | \(-0.250800\pi\) |
−0.575633 | + | 0.817708i | \(0.695244\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 32.0574 | − | 11.6679i | 1.54058 | − | 0.560725i | 0.574395 | − | 0.818578i | \(-0.305237\pi\) |
0.966184 | + | 0.257853i | \(0.0830152\pi\) | |||||||
\(434\) | −3.52094 | + | 2.95442i | −0.169011 | + | 0.141817i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.7733 | −0.515948 | ||||||||
\(437\) | −25.7803 | − | 14.6323i | −1.23324 | − | 0.699958i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.68463 | + | 9.55401i | 0.0804030 | + | 0.455988i | 0.998254 | + | 0.0590636i | \(0.0188115\pi\) |
−0.917851 | + | 0.396925i | \(0.870077\pi\) | |||||||
\(440\) | 0.907604 | − | 0.761570i | 0.0432683 | − | 0.0363064i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −10.7836 | − | 3.92490i | −0.512923 | − | 0.186689i | ||||
\(443\) | −11.6302 | − | 9.75887i | −0.552566 | − | 0.463658i | 0.323243 | − | 0.946316i | \(-0.395227\pi\) |
−0.875809 | + | 0.482658i | \(0.839671\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.05825 | + | 5.29704i | 0.144975 | + | 0.251104i | ||||
\(446\) | −1.41875 | + | 8.04612i | −0.0671797 | + | 0.380995i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.43969 | + | 2.49362i | 0.0680191 | + | 0.117813i | ||||
\(449\) | 17.4192 | − | 30.1710i | 0.822064 | − | 1.42386i | −0.0820794 | − | 0.996626i | \(-0.526156\pi\) |
0.904143 | − | 0.427230i | \(-0.140511\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.13903 | − | 0.414574i | −0.0536350 | − | 0.0195215i | ||||
\(452\) | −10.9572 | + | 3.98811i | −0.515385 | + | 0.187585i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.312681 | − | 1.77330i | −0.0146749 | − | 0.0832253i | ||||
\(455\) | 16.2344 | 0.761081 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −31.8749 | −1.49105 | −0.745523 | − | 0.666479i | \(-0.767800\pi\) | ||||
−0.745523 | + | 0.666479i | \(0.767800\pi\) | |||||||
\(458\) | −3.25402 | − | 18.4545i | −0.152050 | − | 0.862321i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 21.8011 | − | 7.93496i | 1.01648 | − | 0.369969i | ||||
\(461\) | −10.0449 | − | 3.65604i | −0.467837 | − | 0.170279i | 0.0973354 | − | 0.995252i | \(-0.468968\pi\) |
−0.565172 | + | 0.824973i | \(0.691190\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.65910 | + | 13.2660i | −0.355949 | + | 0.616521i | −0.987280 | − | 0.158992i | \(-0.949176\pi\) |
0.631331 | + | 0.775513i | \(0.282509\pi\) | |||||||
\(464\) | 3.17752 | + | 5.50362i | 0.147513 | + | 0.255499i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.711667 | − | 4.03606i | 0.0329673 | − | 0.186967i | ||||
\(467\) | 14.2562 | + | 24.6925i | 0.659700 | + | 1.14263i | 0.980693 | + | 0.195553i | \(0.0626501\pi\) |
−0.320993 | + | 0.947082i | \(0.604017\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.37939 | + | 1.99654i | 0.109870 | + | 0.0921917i | ||||
\(470\) | 17.9402 | + | 6.52968i | 0.827518 | + | 0.301192i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.341367 | + | 0.286441i | −0.0157127 | + | 0.0131845i | ||||
\(473\) | 0.137689 | + | 0.780873i | 0.00633094 | + | 0.0359046i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.213011 | − | 28.9343i | −0.00977362 | − | 1.32760i | ||||
\(476\) | 19.9932 | 0.916386 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 21.6236 | − | 18.1444i | 0.989041 | − | 0.829904i | ||||
\(479\) | 7.56583 | − | 2.75374i | 0.345691 | − | 0.125821i | −0.163339 | − | 0.986570i | \(-0.552226\pi\) |
0.509030 | + | 0.860749i | \(0.330004\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 14.1951 | + | 11.9111i | 0.647239 | + | 0.543098i | ||||
\(482\) | −3.28106 | + | 5.68296i | −0.149448 | + | 0.258852i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.88919 | + | 10.7141i | −0.0858721 | + | 0.487005i | ||||
\(485\) | 2.16385 | − | 12.2718i | 0.0982553 | − | 0.557233i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.05778 | + | 5.29623i | −0.138561 | + | 0.239995i | −0.926952 | − | 0.375179i | \(-0.877581\pi\) |
0.788391 | + | 0.615175i | \(0.210914\pi\) | |||||||
\(488\) | −9.60014 | − | 8.05547i | −0.434578 | − | 0.364654i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −4.13816 | + | 1.50617i | −0.186943 | + | 0.0680416i | ||||
\(491\) | 17.3778 | − | 14.5817i | 0.784249 | − | 0.658063i | −0.160066 | − | 0.987106i | \(-0.551171\pi\) |
0.944315 | + | 0.329043i | \(0.106726\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 44.1266 | 1.98736 | ||||||||
\(494\) | −7.08512 | + | 1.30315i | −0.318775 | + | 0.0586315i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.277189 | + | 1.57202i | 0.0124461 | + | 0.0705856i | ||||
\(497\) | −36.6673 | + | 30.7675i | −1.64475 | + | 1.38011i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −23.3567 | − | 8.50114i | −1.04559 | − | 0.380563i | −0.238593 | − | 0.971120i | \(-0.576686\pi\) |
−0.806996 | + | 0.590557i | \(0.798908\pi\) | |||||||
\(500\) | 4.28106 | + | 3.59224i | 0.191455 | + | 0.160650i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 4.44697 | + | 7.70237i | 0.198478 | + | 0.343774i | ||||
\(503\) | −4.34524 | + | 24.6431i | −0.193745 | + | 1.09878i | 0.720451 | + | 0.693506i | \(0.243935\pi\) |
−0.914195 | + | 0.405274i | \(0.867176\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −16.8983 | − | 29.2687i | −0.751963 | − | 1.30244i | ||||
\(506\) | 1.18092 | − | 2.04542i | 0.0524984 | − | 0.0909299i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −15.2344 | − | 5.54488i | −0.675918 | − | 0.246014i | ||||
\(509\) | 0.845075 | − | 0.307582i | 0.0374573 | − | 0.0136333i | −0.323224 | − | 0.946323i | \(-0.604767\pi\) |
0.360681 | + | 0.932689i | \(0.382544\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.20961 | − | 35.2164i | −0.274697 | − | 1.55788i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 13.4662 | 0.593967 | ||||||||
\(515\) | 4.64749 | + | 26.3572i | 0.204793 | + | 1.16144i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.82635 | − | 0.664738i | 0.0803229 | − | 0.0292351i | ||||
\(518\) | −30.3371 | − | 11.0418i | −1.33294 | − | 0.485149i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.81908 | − | 4.88279i | 0.123625 | − | 0.214124i | ||||
\(521\) | −3.31773 | − | 5.74648i | −0.145353 | − | 0.251758i | 0.784152 | − | 0.620569i | \(-0.213098\pi\) |
−0.929504 | + | 0.368811i | \(0.879765\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.59034 | − | 37.3757i | 0.288175 | − | 1.63432i | −0.405542 | − | 0.914076i | \(-0.632917\pi\) |
0.693718 | − | 0.720247i | \(-0.255972\pi\) | |||||||
\(524\) | −1.40033 | − | 2.42544i | −0.0611737 | − | 0.105956i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 12.8327 | + | 10.7680i | 0.559534 | + | 0.469505i | ||||
\(527\) | 10.4153 | + | 3.79088i | 0.453700 | + | 0.165133i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 17.8097 | − | 14.9442i | 0.774337 | − | 0.649746i | ||||
\(530\) | −1.17318 | − | 6.65344i | −0.0509597 | − | 0.289007i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 10.8229 | − | 6.35532i | 0.469234 | − | 0.275538i | ||||
\(533\) | −5.76827 | −0.249851 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.0714517 | − | 0.0599551i | 0.00308913 | − | 0.00259209i | ||||
\(536\) | 1.01367 | − | 0.368946i | 0.0437839 | − | 0.0159360i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −2.74969 | − | 2.30726i | −0.118547 | − | 0.0994730i | ||||
\(539\) | −0.224155 | + | 0.388249i | −0.00965506 | + | 0.0167230i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.62742 | − | 14.9009i | 0.112962 | − | 0.640638i | −0.874778 | − | 0.484525i | \(-0.838993\pi\) |
0.987739 | − | 0.156113i | \(-0.0498963\pi\) | |||||||
\(542\) | 4.16044 | − | 23.5951i | 0.178706 | − | 1.01349i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.47178 | − | 6.01330i | 0.148851 | − | 0.257818i | ||||
\(545\) | −28.1544 | − | 23.6243i | −1.20600 | − | 1.01195i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −30.6215 | + | 11.1453i | −1.30928 | + | 0.476540i | −0.900009 | − | 0.435872i | \(-0.856440\pi\) |
−0.409274 | + | 0.912412i | \(0.634218\pi\) | |||||||
\(548\) | −12.2836 | + | 10.3072i | −0.524729 | + | 0.440300i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.30541 | 0.0983029 | ||||||||
\(551\) | 23.8871 | − | 14.0267i | 1.01763 | − | 0.597558i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 5.46198 | + | 30.9764i | 0.232267 | + | 1.31725i | ||||
\(554\) | −14.3418 | + | 12.0342i | −0.609326 | + | 0.511285i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.95336 | + | 0.710966i | 0.0828411 | + | 0.0301517i | ||||
\(557\) | 15.2777 | + | 12.8195i | 0.647335 | + | 0.543179i | 0.906261 | − | 0.422719i | \(-0.138924\pi\) |
−0.258926 | + | 0.965897i | \(0.583369\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.88666 | + | 3.26779i | 0.0797972 | + | 0.138213i | ||||
\(560\) | −1.70574 | + | 9.67372i | −0.0720805 | + | 0.408789i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.31908 | − | 9.21291i | −0.224372 | − | 0.388623i | ||||
\(563\) | 1.98411 | − | 3.43658i | 0.0836202 | − | 0.144834i | −0.821182 | − | 0.570666i | \(-0.806685\pi\) |
0.904802 | + | 0.425832i | \(0.140018\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −37.3803 | − | 13.6053i | −1.57260 | − | 0.572380i | ||||
\(566\) | 13.1677 | − | 4.79266i | 0.553480 | − | 0.201450i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 2.88666 | + | 16.3711i | 0.121122 | + | 0.686914i | ||||
\(569\) | −14.8135 | −0.621012 | −0.310506 | − | 0.950571i | \(-0.600499\pi\) | ||||
−0.310506 | + | 0.950571i | \(0.600499\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 21.0615 | 0.881396 | 0.440698 | − | 0.897655i | \(-0.354731\pi\) | ||||
0.440698 | + | 0.897655i | \(0.354731\pi\) | |||||||
\(572\) | −0.0996702 | − | 0.565258i | −0.00416742 | − | 0.0236346i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 9.44356 | − | 3.43718i | 0.394167 | − | 0.143465i | ||||
\(575\) | 42.4213 | + | 15.4401i | 1.76909 | + | 0.643897i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 22.1211 | − | 38.3148i | 0.920913 | − | 1.59507i | 0.122907 | − | 0.992418i | \(-0.460778\pi\) |
0.798006 | − | 0.602649i | \(-0.205888\pi\) | |||||||
\(578\) | −15.6065 | − | 27.0313i | −0.649146 | − | 1.12435i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −3.76470 | + | 21.3507i | −0.156321 | + | 0.886539i | ||||
\(581\) | −16.8687 | − | 29.2175i | −0.699832 | − | 1.21214i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.526874 | − | 0.442100i | −0.0218209 | − | 0.0183099i | ||||
\(584\) | −11.6702 | − | 4.24762i | −0.482918 | − | 0.175768i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 8.82501 | − | 7.40506i | 0.364558 | − | 0.305900i | ||||
\(587\) | −1.73689 | − | 9.85041i | −0.0716892 | − | 0.406570i | −0.999443 | − | 0.0333765i | \(-0.989374\pi\) |
0.927754 | − | 0.373193i | \(-0.121737\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 6.84318 | − | 1.25865i | 0.281968 | − | 0.0518617i | ||||
\(590\) | −1.52023 | −0.0625869 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −8.58899 | + | 7.20702i | −0.353005 | + | 0.296207i | ||||
\(593\) | −10.7981 | + | 3.93020i | −0.443426 | + | 0.161394i | −0.554077 | − | 0.832465i | \(-0.686929\pi\) |
0.110651 | + | 0.993859i | \(0.464706\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 52.2490 | + | 43.8421i | 2.14200 | + | 1.79735i | ||||
\(596\) | −0.833626 | + | 1.44388i | −0.0341466 | + | 0.0591437i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.95171 | − | 11.0687i | 0.0798115 | − | 0.452634i | ||||
\(599\) | −1.11422 | + | 6.31905i | −0.0455257 | + | 0.258189i | −0.999073 | − | 0.0430552i | \(-0.986291\pi\) |
0.953547 | + | 0.301244i | \(0.0974020\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −15.7579 | + | 27.2935i | −0.642778 | + | 1.11332i | 0.342032 | + | 0.939688i | \(0.388885\pi\) |
−0.984810 | + | 0.173636i | \(0.944448\pi\) | |||||||
\(602\) | −5.03596 | − | 4.22567i | −0.205250 | − | 0.172226i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −18.8430 | + | 6.85830i | −0.766711 | + | 0.279060i | ||||
\(605\) | −28.4315 | + | 23.8569i | −1.15591 | + | 0.969921i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.748341 | 0.0303742 | 0.0151871 | − | 0.999885i | \(-0.495166\pi\) | ||||
0.0151871 | + | 0.999885i | \(0.495166\pi\) | |||||||
\(608\) | −0.0320889 | − | 4.35878i | −0.00130138 | − | 0.176772i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −7.42396 | − | 42.1034i | −0.300587 | − | 1.70472i | ||||
\(611\) | 7.08512 | − | 5.94512i | 0.286633 | − | 0.240514i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 28.8371 | + | 10.4958i | 1.16472 | + | 0.423923i | 0.850781 | − | 0.525520i | \(-0.176129\pi\) |
0.313938 | + | 0.949443i | \(0.398352\pi\) | |||||||
\(614\) | 3.29220 | + | 2.76249i | 0.132863 | + | 0.111485i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.500000 | + | 0.866025i | 0.0201456 | + | 0.0348932i | ||||
\(617\) | 4.73917 | − | 26.8772i | 0.190792 | − | 1.08203i | −0.727493 | − | 0.686115i | \(-0.759315\pi\) |
0.918285 | − | 0.395919i | \(-0.129574\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 6.61856 | + | 11.4637i | 0.266022 | + | 0.460764i | 0.967831 | − | 0.251601i | \(-0.0809572\pi\) |
−0.701809 | + | 0.712365i | \(0.747624\pi\) | |||||||
\(620\) | −2.72281 | + | 4.71605i | −0.109351 | + | 0.189401i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −21.6065 | − | 7.86414i | −0.866343 | − | 0.315323i | ||||
\(623\) | −4.85117 | + | 1.76568i | −0.194358 | + | 0.0707405i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.45290 | − | 13.9111i | −0.0981159 | − | 0.556443i | ||||
\(626\) | −9.20977 | −0.368096 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4.09833 | −0.163541 | ||||||||
\(629\) | 13.5189 | + | 76.6694i | 0.539033 | + | 3.05701i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 11.5013 | − | 4.18615i | 0.457861 | − | 0.166648i | −0.102784 | − | 0.994704i | \(-0.532775\pi\) |
0.560646 | + | 0.828056i | \(0.310553\pi\) | |||||||
\(632\) | 10.2652 | + | 3.73622i | 0.408326 | + | 0.148619i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 1.67752 | − | 2.90555i | 0.0666228 | − | 0.115394i | ||||
\(635\) | −27.6536 | − | 47.8975i | −1.09740 | − | 1.90075i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.370462 | + | 2.10100i | −0.0146783 | + | 0.0832445i | ||||
\(638\) | 1.10354 | + | 1.91139i | 0.0436896 | + | 0.0756726i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 2.61334 | + | 2.19285i | 0.103301 | + | 0.0866801i | ||||
\(641\) | 8.41370 | + | 3.06233i | 0.332321 | + | 0.120955i | 0.502791 | − | 0.864408i | \(-0.332306\pi\) |
−0.170470 | + | 0.985363i | \(0.554529\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −24.0305 | + | 20.1640i | −0.947670 | + | 0.795190i | −0.978904 | − | 0.204322i | \(-0.934501\pi\) |
0.0312334 | + | 0.999512i | \(0.490056\pi\) | |||||||
\(644\) | 3.40033 | + | 19.2842i | 0.133992 | + | 0.759905i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −26.3221 | − | 14.9398i | −1.03563 | − | 0.587798i | ||||
\(647\) | 5.54933 | 0.218166 | 0.109083 | − | 0.994033i | \(-0.465208\pi\) | ||||
0.109083 | + | 0.994033i | \(0.465208\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.118555 | + | 0.0994798i | −0.00465371 | + | 0.00390492i | ||||
\(650\) | 10.3093 | − | 3.75227i | 0.404363 | − | 0.147176i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.23190 | − | 5.22918i | −0.244060 | − | 0.204791i | ||||
\(653\) | 19.4552 | − | 33.6974i | 0.761340 | − | 1.31868i | −0.180820 | − | 0.983516i | \(-0.557875\pi\) |
0.942160 | − | 0.335163i | \(-0.108791\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.65910 | − | 9.40923i | 0.0648264 | − | 0.367649i | ||||
\(656\) | 0.606067 | − | 3.43718i | 0.0236629 | − | 0.134199i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −8.05690 | + | 13.9550i | −0.314091 | + | 0.544021i | ||||
\(659\) | 30.2708 | + | 25.4003i | 1.17918 | + | 0.989454i | 0.999984 | + | 0.00564104i | \(0.00179561\pi\) |
0.179201 | + | 0.983813i | \(0.442649\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.0859997 | − | 0.0313013i | 0.00334500 | − | 0.00121748i | −0.340347 | − | 0.940300i | \(-0.610545\pi\) |
0.343692 | + | 0.939082i | \(0.388322\pi\) | |||||||
\(662\) | −16.9099 | + | 14.1891i | −0.657221 | + | 0.551474i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −11.7169 | −0.454703 | ||||||||
\(665\) | 42.2203 | + | 7.12452i | 1.63723 | + | 0.276277i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 7.50480 | + | 42.5619i | 0.290587 | + | 1.64800i | ||||
\(668\) | 10.2626 | − | 8.61138i | 0.397073 | − | 0.333184i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.45811 | + | 1.25865i | 0.133598 | + | 0.0486259i | ||||
\(671\) | −3.33409 | − | 2.79764i | −0.128711 | − | 0.108002i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 19.9281 | + | 34.5165i | 0.768173 | + | 1.33052i | 0.938552 | + | 0.345137i | \(0.112167\pi\) |
−0.170379 | + | 0.985379i | \(0.554499\pi\) | |||||||
\(674\) | −2.27766 | + | 12.9172i | −0.0877320 | + | 0.497553i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.13429 | + | 8.89284i | 0.197473 | + | 0.342032i | ||||
\(677\) | 14.6912 | − | 25.4459i | 0.564628 | − | 0.977965i | −0.432456 | − | 0.901655i | \(-0.642353\pi\) |
0.997084 | − | 0.0763098i | \(-0.0243138\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 9.88326 | + | 3.59721i | 0.379285 | + | 0.138048i | ||||
\(680\) | 22.2592 | − | 8.10170i | 0.853603 | − | 0.310686i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.0962667 | + | 0.545955i | 0.00368624 | + | 0.0209057i | ||||
\(683\) | 21.0933 | 0.807112 | 0.403556 | − | 0.914955i | \(-0.367774\pi\) | ||||
0.403556 | + | 0.914955i | \(0.367774\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −54.7033 | −2.09010 | ||||||||
\(686\) | 2.85457 | + | 16.1891i | 0.108988 | + | 0.618102i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.14543 | + | 0.780873i | −0.0817937 | + | 0.0297705i | ||||
\(689\) | −3.07563 | − | 1.11944i | −0.117172 | − | 0.0426471i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.08172 | − | 13.9979i | 0.307443 | − | 0.532507i | −0.670359 | − | 0.742037i | \(-0.733860\pi\) |
0.977802 | + | 0.209530i | \(0.0671933\pi\) | |||||||
\(692\) | −0.511144 | − | 0.885328i | −0.0194308 | − | 0.0336551i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −1.52094 | + | 8.62571i | −0.0577343 | + | 0.327427i | ||||
\(695\) | 3.54576 | + | 6.14144i | 0.134498 | + | 0.232958i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −18.5646 | − | 15.5776i | −0.703186 | − | 0.590043i | ||||
\(698\) | −3.06670 | − | 1.11619i | −0.116076 | − | 0.0422484i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −14.6420 | + | 12.2861i | −0.553417 | + | 0.464372i | ||||
\(701\) | 3.48561 | + | 19.7679i | 0.131650 | + | 0.746623i | 0.977134 | + | 0.212623i | \(0.0682007\pi\) |
−0.845484 | + | 0.534000i | \(0.820688\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 31.6894 | + | 37.2063i | 1.19519 | + | 1.40326i | ||||
\(704\) | 0.347296 | 0.0130892 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −22.2795 | + | 18.6947i | −0.838499 | + | 0.703584i | ||||
\(707\) | 26.8050 | − | 9.75622i | 1.00811 | − | 0.366920i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −29.7998 | − | 25.0050i | −1.11915 | − | 0.939082i | −0.120593 | − | 0.992702i | \(-0.538480\pi\) |
−0.998561 | + | 0.0536201i | \(0.982924\pi\) | |||||||
\(710\) | −28.3555 | + | 49.1132i | −1.06416 | + | 1.84318i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.311337 | + | 1.76568i | −0.0116679 | + | 0.0661717i | ||||
\(713\) | −1.88507 | + | 10.6907i | −0.0705963 | + | 0.400372i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.979055 | − | 1.69577i | 0.0366146 | − | 0.0634183i | ||||
\(716\) | −1.55896 | − | 1.30813i | −0.0582612 | − | 0.0488869i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 6.21213 | − | 2.26103i | 0.231835 | − | 0.0843810i | ||||
\(719\) | −2.34549 | + | 1.96810i | −0.0874718 | + | 0.0733976i | −0.685475 | − | 0.728096i | \(-0.740405\pi\) |
0.598003 | + | 0.801494i | \(0.295961\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −22.5895 | −0.841275 | ||||||||
\(722\) | −18.9979 | + | 0.279737i | −0.707030 | + | 0.0104107i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 3.87299 | + | 21.9648i | 0.143938 | + | 0.816316i | ||||
\(725\) | −32.3161 | + | 27.1165i | −1.20019 | + | 1.00708i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 16.4226 | + | 5.97734i | 0.609081 | + | 0.221687i | 0.628101 | − | 0.778132i | \(-0.283832\pi\) |
−0.0190200 | + | 0.999819i | \(0.506055\pi\) | |||||||
\(728\) | 3.64543 | + | 3.05888i | 0.135109 | + | 0.113370i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −21.1839 | − | 36.6916i | −0.784052 | − | 1.35802i | ||||
\(731\) | −2.75284 | + | 15.6121i | −0.101817 | + | 0.577436i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 20.7087 | + | 35.8686i | 0.764894 | + | 1.32484i | 0.940302 | + | 0.340340i | \(0.110542\pi\) |
−0.175408 | + | 0.984496i | \(0.556124\pi\) | |||||||
\(734\) | 2.89780 | − | 5.01914i | 0.106960 | − | 0.185260i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.39053 | + | 2.32596i | 0.235558 | + | 0.0857361i | ||||
\(737\) | 0.352044 | − | 0.128134i | 0.0129677 | − | 0.00471986i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 4.59358 | + | 26.0515i | 0.168978 | + | 0.958319i | 0.944868 | + | 0.327451i | \(0.106190\pi\) |
−0.775890 | + | 0.630868i | \(0.782699\pi\) | |||||||
\(740\) | −38.2499 | −1.40609 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 5.70233 | 0.209339 | ||||||||
\(743\) | 2.61793 | + | 14.8470i | 0.0960424 | + | 0.544684i | 0.994423 | + | 0.105466i | \(0.0336333\pi\) |
−0.898381 | + | 0.439218i | \(0.855256\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.34477 | + | 1.94534i | −0.195817 | + | 0.0712716i | ||||
\(746\) | 24.3285 | + | 8.85484i | 0.890728 | + | 0.324199i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.20574 | − | 2.08840i | 0.0440861 | − | 0.0763594i | ||||
\(749\) | 0.0393628 | + | 0.0681784i | 0.00143829 | + | 0.00249119i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.921274 | + | 5.22481i | −0.0336178 | + | 0.190656i | −0.996992 | − | 0.0775048i | \(-0.975305\pi\) |
0.963374 | + | 0.268161i | \(0.0864158\pi\) | |||||||
\(752\) | 2.79813 | + | 4.84651i | 0.102037 | + | 0.176734i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 8.04576 | + | 6.75119i | 0.293009 | + | 0.245864i | ||||
\(755\) | −64.2825 | − | 23.3969i | −2.33948 | − | 0.851500i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.23442 | − | 5.23130i | 0.226594 | − | 0.190135i | −0.522422 | − | 0.852687i | \(-0.674971\pi\) |
0.749016 | + | 0.662552i | \(0.230527\pi\) | |||||||
\(758\) | −3.32635 | − | 18.8647i | −0.120819 | − | 0.685196i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 9.47431 | − | 11.4613i | 0.343669 | − | 0.415747i | ||||
\(761\) | 46.2113 | 1.67516 | 0.837579 | − | 0.546316i | \(-0.183970\pi\) | ||||
0.837579 | + | 0.546316i | \(0.183970\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 23.7631 | − | 19.9396i | 0.860282 | − | 0.721863i | ||||
\(764\) | 10.1356 | − | 3.68907i | 0.366694 | − | 0.133466i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 7.42649 | + | 6.23156i | 0.268330 | + | 0.225156i | ||||
\(767\) | −0.368241 | + | 0.637812i | −0.0132964 | + | 0.0230301i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −4.66132 | + | 26.4357i | −0.168092 | + | 0.953295i | 0.777728 | + | 0.628601i | \(0.216372\pi\) |
−0.945819 | + | 0.324693i | \(0.894739\pi\) | |||||||
\(770\) | −0.592396 | + | 3.35965i | −0.0213485 | + | 0.121073i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1.43242 | − | 2.48102i | 0.0515539 | − | 0.0892939i | ||||
\(773\) | 16.1065 | + | 13.5150i | 0.579312 | + | 0.486100i | 0.884721 | − | 0.466121i | \(-0.154349\pi\) |
−0.305409 | + | 0.952221i | \(0.598793\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −9.95723 | + | 3.62414i | −0.357674 | + | 0.130183i | ||||
\(776\) | 2.79813 | − | 2.34791i | 0.100447 | − | 0.0842852i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.817896 | 0.0293230 | ||||||||
\(779\) | −15.0013 | − | 2.53142i | −0.537479 | − | 0.0906974i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.00253 | + | 5.68561i | 0.0358732 | + | 0.203447i | ||||
\(782\) | 36.1732 | − | 30.3530i | 1.29355 | − | 1.08542i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −1.21301 | − | 0.441500i | −0.0433218 | − | 0.0157679i | ||||
\(785\) | −10.7103 | − | 8.98703i | −0.382268 | − | 0.320761i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −22.7656 | − | 39.4312i | −0.811507 | − | 1.40557i | −0.911809 | − | 0.410615i | \(-0.865314\pi\) |
0.100302 | − | 0.994957i | \(-0.468019\pi\) | |||||||
\(788\) | 1.44743 | − | 8.20880i | 0.0515627 | − | 0.292426i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 18.6334 | + | 32.2740i | 0.662947 | + | 1.14826i | ||||
\(791\) | 16.7875 | − | 29.0767i | 0.596893 | − | 1.03385i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −19.4628 | − | 7.08386i | −0.691143 | − | 0.251555i | ||||
\(794\) | 3.47431 | − | 1.26454i | 0.123299 | − | 0.0448770i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.526874 | − | 2.98805i | −0.0186746 | − | 0.105909i | ||||
\(797\) | −36.1780 | −1.28149 | −0.640745 | − | 0.767754i | \(-0.721374\pi\) | ||||
−0.640745 | + | 0.767754i | \(0.721374\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 38.8580 | 1.37470 | ||||||||
\(800\) | 1.15270 | + | 6.53731i | 0.0407542 | + | 0.231129i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −20.4290 | + | 7.43555i | −0.721374 | + | 0.262559i | ||||
\(803\) | −4.05303 | − | 1.47518i | −0.143028 | − | 0.0520581i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −33.4013 | + | 57.8527i | −1.17724 | + | 2.03904i | ||||
\(806\) | 1.31908 | + | 2.28471i | 0.0464625 | + | 0.0804755i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1.72028 | − | 9.75622i | 0.0605194 | − | 0.343223i | ||||
\(809\) | 1.18938 | + | 2.06006i | 0.0418163 | + | 0.0724280i | 0.886176 | − | 0.463349i | \(-0.153352\pi\) |
−0.844360 | + | 0.535777i | \(0.820019\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −28.3904 | − | 23.8223i | −0.996921 | − | 0.836516i | −0.0103658 | − | 0.999946i | \(-0.503300\pi\) |
−0.986555 | + | 0.163431i | \(0.947744\pi\) | |||||||
\(812\) | −17.1951 | − | 6.25849i | −0.603428 | − | 0.219630i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.98293 | + | 2.50297i | −0.104551 | + | 0.0877291i | ||||
\(815\) | −4.81924 | − | 27.3313i | −0.168811 | − | 0.957373i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 3.47250 | + | 9.32640i | 0.121487 | + | 0.326289i | ||||
\(818\) | −4.05468 | −0.141769 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 9.12108 | − | 7.65350i | 0.318522 | − | 0.267272i | ||||
\(821\) | −24.3949 | + | 8.87901i | −0.851387 | + | 0.309879i | −0.730606 | − | 0.682800i | \(-0.760762\pi\) |
−0.120781 | + | 0.992679i | \(0.538540\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −34.4805 | − | 28.9325i | −1.20191 | − | 1.00852i | −0.999573 | − | 0.0292095i | \(-0.990701\pi\) |
−0.202340 | − | 0.979315i | \(-0.564855\pi\) | |||||||
\(824\) | −3.92262 | + | 6.79417i | −0.136651 | + | 0.236686i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.222811 | − | 1.26363i | 0.00775259 | − | 0.0439671i | ||||
\(827\) | 2.92473 | − | 16.5870i | 0.101703 | − | 0.576786i | −0.890783 | − | 0.454429i | \(-0.849843\pi\) |
0.992486 | − | 0.122358i | \(-0.0390455\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.50000 | − | 11.2583i | 0.225754 | − | 0.391018i | −0.730791 | − | 0.682601i | \(-0.760849\pi\) |
0.956545 | + | 0.291583i | \(0.0941820\pi\) | |||||||
\(830\) | −30.6202 | − | 25.6934i | −1.06284 | − | 0.891831i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.55303 | − | 0.565258i | 0.0538417 | − | 0.0195968i | ||||
\(833\) | −6.86618 | + | 5.76141i | −0.237899 | + | 0.199621i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 45.7033 | 1.58163 | ||||||||
\(836\) | −0.0111444 | − | 1.51379i | −0.000385436 | − | 0.0523555i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −4.08054 | − | 23.1419i | −0.140960 | − | 0.799423i | ||||
\(839\) | −1.02687 | + | 0.861650i | −0.0354516 | + | 0.0297475i | −0.660341 | − | 0.750966i | \(-0.729588\pi\) |
0.624890 | + | 0.780713i | \(0.285144\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.6998 | − | 3.89441i | −0.368959 | − | 0.134290i | ||||
\(842\) | −17.6748 | − | 14.8309i | −0.609115 | − | 0.511108i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 8.31908 | + | 14.4091i | 0.286354 | + | 0.495980i | ||||
\(845\) | −6.08306 | + | 34.4988i | −0.209264 | + | 1.18679i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −15.6630 | − | 27.1291i | −0.538186 | − | 0.932166i | ||||
\(848\) | 0.990200 | − | 1.71508i | 0.0340036 | − | 0.0588960i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 43.3127 | + | 15.7645i | 1.48561 | + | 0.540720i | ||||
\(851\) | −71.6515 | + | 26.0790i | −2.45618 | + | 0.893977i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1.37969 | − | 7.82461i | −0.0472397 | − | 0.267910i | 0.952035 | − | 0.305989i | \(-0.0989871\pi\) |
−0.999275 | + | 0.0380795i | \(0.987876\pi\) | |||||||
\(854\) | 36.0847 | 1.23479 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.0273411 | 0.000934501 | ||||||||
\(857\) | −8.31356 | − | 47.1485i | −0.283986 | − | 1.61056i | −0.708886 | − | 0.705323i | \(-0.750802\pi\) |
0.424900 | − | 0.905240i | \(-0.360309\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.53849 | + | 0.559963i | −0.0524924 | + | 0.0191057i | −0.368133 | − | 0.929773i | \(-0.620003\pi\) |
0.315640 | + | 0.948879i | \(0.397781\pi\) | |||||||
\(860\) | −7.31908 | − | 2.66393i | −0.249578 | − | 0.0908391i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −1.75743 | + | 3.04395i | −0.0598582 | + | 0.103677i | ||||
\(863\) | 17.4616 | + | 30.2443i | 0.594399 | + | 1.02953i | 0.993631 | + | 0.112679i | \(0.0359432\pi\) |
−0.399233 | + | 0.916850i | \(0.630723\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.605600 | − | 3.43453i | 0.0205910 | − | 0.116777i | ||||
\(866\) | 17.0574 | + | 29.5442i | 0.579633 | + | 1.00395i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −3.52094 | − | 2.95442i | −0.119509 | − | 0.100280i | ||||
\(869\) | 3.56506 | + | 1.29757i | 0.120936 | + | 0.0440172i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.36571 | − | 1.14597i | 0.0462755 | − | 0.0388297i | ||||
\(872\) | −1.87077 | − | 10.6096i | −0.0633522 | − | 0.359288i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 9.93330 | − | 27.9296i | 0.335999 | − | 0.944731i | ||||
\(875\) | −16.0915 | −0.543993 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −4.88120 | + | 4.09581i | −0.164826 | + | 0.138306i | −0.721470 | − | 0.692446i | \(-0.756533\pi\) |
0.556644 | + | 0.830751i | \(0.312089\pi\) | |||||||
\(878\) | −9.11633 | + | 3.31807i | −0.307661 | + | 0.111980i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.907604 | + | 0.761570i | 0.0305953 | + | 0.0256725i | ||||
\(881\) | 2.63697 | − | 4.56737i | 0.0888419 | − | 0.153879i | −0.818180 | − | 0.574962i | \(-0.805017\pi\) |
0.907022 | + | 0.421084i | \(0.138350\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −0.564588 | + | 3.20194i | −0.0189999 | + | 0.107754i | −0.992833 | − | 0.119511i | \(-0.961867\pi\) |
0.973833 | + | 0.227265i | \(0.0729784\pi\) | |||||||
\(884\) | 1.99273 | − | 11.3013i | 0.0670226 | − | 0.380104i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 7.59105 | − | 13.1481i | 0.255026 | − | 0.441719i | ||||
\(887\) | 17.1368 | + | 14.3795i | 0.575398 | + | 0.482816i | 0.883432 | − | 0.468559i | \(-0.155227\pi\) |
−0.308034 | + | 0.951375i | \(0.599671\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 43.8658 | − | 15.9658i | 1.47121 | − | 0.535477i | ||||
\(890\) | −4.68551 | + | 3.93161i | −0.157059 | + | 0.131788i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −8.17024 | −0.273560 | ||||||||
\(893\) | 21.0351 | − | 12.3520i | 0.703912 | − | 0.413343i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.20557 | − | 6.83716i | −0.0402979 | − | 0.228541i | ||||
\(896\) | −2.20574 | + | 1.85083i | −0.0736885 | + | 0.0618320i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 32.7374 | + | 11.9154i | 1.09246 | + | 0.397624i | ||||
\(899\) | −7.77101 | − | 6.52065i | −0.259178 | − | 0.217476i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −6.87551 | − | 11.9087i | −0.229057 | − | 0.396738i | ||||
\(902\) | 0.210485 | − | 1.19372i | 0.00700838 | − | 0.0397465i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −5.83022 | − | 10.0982i | −0.193910 | − | 0.335863i | ||||
\(905\) | −38.0442 | + | 65.8944i | −1.26463 | + | 2.19040i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −2.96703 | − | 1.07991i | −0.0985187 | − | 0.0358579i | 0.292291 | − | 0.956330i | \(-0.405583\pi\) |
−0.390809 | + | 0.920472i | \(0.627805\pi\) | |||||||
\(908\) | 1.69207 | − | 0.615862i | 0.0561532 | − | 0.0204381i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 2.81908 | + | 15.9878i | 0.0934515 | + | 0.529990i | ||||
\(911\) | 44.3387 | 1.46901 | 0.734504 | − | 0.678604i | \(-0.237415\pi\) | ||||
0.734504 | + | 0.678604i | \(0.237415\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −4.06923 | −0.134672 | ||||||||
\(914\) | −5.53503 | − | 31.3907i | −0.183082 | − | 1.03831i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 17.6091 | − | 6.40917i | 0.581820 | − | 0.211765i | ||||
\(917\) | 7.57785 | + | 2.75811i | 0.250243 | + | 0.0910809i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −7.10220 | + | 12.3014i | −0.234280 | + | 0.405785i | −0.959063 | − | 0.283192i | \(-0.908607\pi\) |
0.724783 | + | 0.688977i | \(0.241940\pi\) | |||||||
\(920\) | 11.6001 | + | 20.0920i | 0.382445 | + | 0.662415i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.85622 | − | 10.5271i | 0.0611313 | − | 0.346693i | ||||
\(923\) | 13.7369 | + | 23.7931i | 0.452157 | + | 0.783159i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −57.0151 | − | 47.8413i | −1.87464 | − | 1.57301i | ||||
\(926\) | −14.3944 | − | 5.23913i | −0.473029 | − | 0.172169i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.86824 | + | 4.08494i | −0.159808 | + | 0.134095i | ||||
\(929\) | 2.67881 | + | 15.1923i | 0.0878888 | + | 0.498442i | 0.996696 | + | 0.0812253i | \(0.0258833\pi\) |
−0.908807 | + | 0.417217i | \(0.863006\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.88548 | + | 5.30142i | −0.0617940 | + | 0.173747i | ||||
\(932\) | 4.09833 | 0.134245 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −21.8418 | + | 18.3275i | −0.714687 | + | 0.599693i | ||||
\(935\) | 7.73055 | − | 2.81369i | 0.252816 | − | 0.0920175i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −7.42830 | − | 6.23308i | −0.242672 | − | 0.203626i | 0.513337 | − | 0.858187i | \(-0.328409\pi\) |
−0.756009 | + | 0.654561i | \(0.772853\pi\) | |||||||
\(938\) | −1.55303 | + | 2.68993i | −0.0507083 | + | 0.0878294i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −3.31521 | + | 18.8015i | −0.108130 | + | 0.613237i | ||||
\(941\) | 3.12314 | − | 17.7122i | 0.101811 | − | 0.577402i | −0.890635 | − | 0.454720i | \(-0.849739\pi\) |
0.992446 | − | 0.122682i | \(-0.0391495\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 11.8678 | − | 20.5557i | 0.386470 | − | 0.669385i | ||||
\(944\) | −0.341367 | − | 0.286441i | −0.0111105 | − | 0.00932285i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.745100 | + | 0.271194i | −0.0242253 | + | 0.00881728i | ||||
\(947\) | −1.68067 | + | 1.41025i | −0.0546146 | + | 0.0458271i | −0.669686 | − | 0.742644i | \(-0.733571\pi\) |
0.615072 | + | 0.788471i | \(0.289127\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −20.5253 | −0.666279 | ||||||||
\(950\) | 28.4577 | − | 5.23416i | 0.923290 | − | 0.169818i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 3.47178 | + | 19.6895i | 0.112521 | + | 0.638139i | ||||
\(953\) | 8.66456 | − | 7.27043i | 0.280673 | − | 0.235512i | −0.491573 | − | 0.870836i | \(-0.663578\pi\) |
0.772246 | + | 0.635324i | \(0.219133\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 34.5774 | + | 12.5852i | 1.11890 | + | 0.407246i | ||||
\(956\) | 21.6236 | + | 18.1444i | 0.699357 | + | 0.586831i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 4.02569 | + | 6.97270i | 0.130064 | + | 0.225278i | ||||
\(959\) | 8.01754 | − | 45.4697i | 0.258900 | − | 1.46829i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 14.2260 | + | 24.6401i | 0.458902 | + | 0.794842i | ||||
\(962\) | −9.26517 | + | 16.0477i | −0.298721 | + | 0.517400i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −6.16637 | − | 2.24438i | −0.198606 | − | 0.0722865i | ||||
\(965\) | 9.18392 | − | 3.34267i | 0.295641 | − | 0.107604i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 8.12402 | + | 46.0736i | 0.261251 | + | 1.48163i | 0.779503 | + | 0.626399i | \(0.215472\pi\) |
−0.518252 | + | 0.855228i | \(0.673417\pi\) | |||||||
\(968\) | −10.8794 | −0.349677 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 12.4611 | 0.400102 | ||||||||
\(971\) | −10.4834 | − | 59.4543i | −0.336428 | − | 1.90798i | −0.412654 | − | 0.910888i | \(-0.635398\pi\) |
0.0762258 | − | 0.997091i | \(-0.475713\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −5.62449 | + | 2.04715i | −0.180313 | + | 0.0656285i | ||||
\(974\) | −5.74675 | − | 2.09165i | −0.184138 | − | 0.0670206i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 6.26604 | − | 10.8531i | 0.200571 | − | 0.347400i | ||||
\(977\) | 11.3978 | + | 19.7416i | 0.364648 | + | 0.631589i | 0.988720 | − | 0.149778i | \(-0.0478560\pi\) |
−0.624072 | + | 0.781367i | \(0.714523\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.108126 | + | 0.613214i | −0.00345573 | + | 0.0195984i | ||||
\(980\) | −2.20187 | − | 3.81374i | −0.0703361 | − | 0.121826i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 17.3778 | + | 14.5817i | 0.554548 | + | 0.465321i | ||||
\(983\) | −28.9359 | − | 10.5318i | −0.922911 | − | 0.335912i | −0.163515 | − | 0.986541i | \(-0.552283\pi\) |
−0.759396 | + | 0.650629i | \(0.774505\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 21.7833 | − | 18.2784i | 0.694075 | − | 0.582398i | ||||
\(986\) | 7.66250 | + | 43.4562i | 0.244024 | + | 1.38393i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.51367 | − | 6.75119i | −0.0799705 | − | 0.214784i | ||||
\(989\) | −15.5267 | −0.493721 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −29.2467 | + | 24.5409i | −0.929054 | + | 0.779569i | −0.975647 | − | 0.219345i | \(-0.929608\pi\) |
0.0465937 | + | 0.998914i | \(0.485163\pi\) | |||||||
\(992\) | −1.50000 | + | 0.545955i | −0.0476250 | + | 0.0173341i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −36.6673 | − | 30.7675i | −1.16302 | − | 0.975887i | ||||
\(995\) | 5.17546 | − | 8.96416i | 0.164073 | − | 0.284183i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 5.37423 | − | 30.4788i | 0.170203 | − | 0.965272i | −0.773332 | − | 0.634001i | \(-0.781411\pi\) |
0.943536 | − | 0.331271i | \(-0.107477\pi\) | |||||||
\(998\) | 4.31614 | − | 24.4781i | 0.136625 | − | 0.774839i | ||||
\(999\) | 0 | 0 |
(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 | 342.2.u.a.199.1 | 6 | ||
3.2 | odd | 2 | 114.2.i.d.85.1 | yes | 6 | ||
12.11 | even | 2 | 912.2.bo.f.769.1 | 6 | |||
19.6 | even | 9 | 6498.2.a.bs.1.3 | 3 | |||
19.13 | odd | 18 | 6498.2.a.bn.1.3 | 3 | |||
19.17 | even | 9 | inner | 342.2.u.a.55.1 | 6 | ||
57.17 | odd | 18 | 114.2.i.d.55.1 | ✓ | 6 | ||
57.32 | even | 18 | 2166.2.a.u.1.1 | 3 | |||
57.44 | odd | 18 | 2166.2.a.o.1.1 | 3 | |||
228.131 | even | 18 | 912.2.bo.f.625.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.i.d.55.1 | ✓ | 6 | 57.17 | odd | 18 | ||
114.2.i.d.85.1 | yes | 6 | 3.2 | odd | 2 | ||
342.2.u.a.55.1 | 6 | 19.17 | even | 9 | inner | ||
342.2.u.a.199.1 | 6 | 1.1 | even | 1 | trivial | ||
912.2.bo.f.625.1 | 6 | 228.131 | even | 18 | |||
912.2.bo.f.769.1 | 6 | 12.11 | even | 2 | |||
2166.2.a.o.1.1 | 3 | 57.44 | odd | 18 | |||
2166.2.a.u.1.1 | 3 | 57.32 | even | 18 | |||
6498.2.a.bn.1.3 | 3 | 19.13 | odd | 18 | |||
6498.2.a.bs.1.3 | 3 | 19.6 | even | 9 |