Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(103,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.p (of order \(4\), degree \(2\), 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: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 103.15 | ||
Character | \(\chi\) | \(=\) | 260.103 |
Dual form | 260.2.p.d.207.15 |
$q$-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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.358430 | − | 1.36804i | −0.253448 | − | 0.967349i | ||||
\(3\) | −1.80624 | + | 1.80624i | −1.04283 | + | 1.04283i | −0.0437910 | + | 0.999041i | \(0.513944\pi\) |
−0.999041 | + | 0.0437910i | \(0.986056\pi\) | |||||||
\(4\) | −1.74306 | + | 0.980692i | −0.871528 | + | 0.490346i | ||||
\(5\) | 1.12997 | − | 1.92955i | 0.505339 | − | 0.862921i | ||||
\(6\) | 3.11841 | + | 1.82359i | 1.27309 | + | 0.744478i | ||||
\(7\) | 0.163803 | − | 0.163803i | 0.0619118 | − | 0.0619118i | −0.675473 | − | 0.737385i | \(-0.736060\pi\) |
0.737385 | + | 0.675473i | \(0.236060\pi\) | |||||||
\(8\) | 1.96639 | + | 2.03306i | 0.695223 | + | 0.718794i | ||||
\(9\) | − | 3.52499i | − | 1.17500i | ||||||
\(10\) | −3.04471 | − | 0.854237i | −0.962823 | − | 0.270134i | ||||
\(11\) | −5.50310 | −1.65925 | −0.829623 | − | 0.558324i | \(-0.811445\pi\) | ||||
−0.829623 | + | 0.558324i | \(0.811445\pi\) | |||||||
\(12\) | 1.37701 | − | 4.91974i | 0.397508 | − | 1.42021i | ||||
\(13\) | −3.60119 | + | 0.177198i | −0.998792 | + | 0.0491458i | ||||
\(14\) | −0.282801 | − | 0.165377i | −0.0755818 | − | 0.0441989i | ||||
\(15\) | 1.44422 | + | 5.52622i | 0.372897 | + | 1.42686i | ||||
\(16\) | 2.07649 | − | 3.41880i | 0.519121 | − | 0.854701i | ||||
\(17\) | −5.33812 | + | 5.33812i | −1.29468 | + | 1.29468i | −0.362829 | + | 0.931856i | \(0.618189\pi\) |
−0.931856 | + | 0.362829i | \(0.881811\pi\) | |||||||
\(18\) | −4.82232 | + | 1.26346i | −1.13663 | + | 0.297801i | ||||
\(19\) | − | 3.95414i | − | 0.907143i | −0.891220 | − | 0.453572i | \(-0.850150\pi\) | ||
0.891220 | − | 0.453572i | \(-0.149850\pi\) | |||||||
\(20\) | −0.0773117 | + | 4.47147i | −0.0172874 | + | 0.999851i | ||||
\(21\) | 0.591735i | 0.129127i | ||||||||
\(22\) | 1.97248 | + | 7.52845i | 0.420533 | + | 1.60507i | ||||
\(23\) | −3.90248 | + | 3.90248i | −0.813722 | + | 0.813722i | −0.985190 | − | 0.171467i | \(-0.945149\pi\) |
0.171467 | + | 0.985190i | \(0.445149\pi\) | |||||||
\(24\) | −7.22395 | − | 0.120419i | −1.47458 | − | 0.0245804i | ||||
\(25\) | −2.44632 | − | 4.36068i | −0.489264 | − | 0.872136i | ||||
\(26\) | 1.53319 | + | 4.86306i | 0.300683 | + | 0.953724i | ||||
\(27\) | 0.948252 | + | 0.948252i | 0.182491 | + | 0.182491i | ||||
\(28\) | −0.124878 | + | 0.446159i | −0.0235997 | + | 0.0843161i | ||||
\(29\) | − | 2.85390i | − | 0.529955i | −0.964255 | − | 0.264978i | \(-0.914635\pi\) | ||
0.964255 | − | 0.264978i | \(-0.0853646\pi\) | |||||||
\(30\) | 7.04243 | − | 3.95652i | 1.28577 | − | 0.722358i | ||||
\(31\) | 4.84261 | 0.869759 | 0.434880 | − | 0.900489i | \(-0.356791\pi\) | ||||
0.434880 | + | 0.900489i | \(0.356791\pi\) | |||||||
\(32\) | −5.42133 | − | 1.61531i | −0.958364 | − | 0.285549i | ||||
\(33\) | 9.93990 | − | 9.93990i | 1.73031 | − | 1.73031i | ||||
\(34\) | 9.21610 | + | 5.38941i | 1.58055 | + | 0.924276i | ||||
\(35\) | −0.130973 | − | 0.501160i | −0.0221385 | − | 0.0847115i | ||||
\(36\) | 3.45693 | + | 6.14425i | 0.576155 | + | 1.02404i | ||||
\(37\) | −1.81836 | − | 1.81836i | −0.298937 | − | 0.298937i | 0.541660 | − | 0.840597i | \(-0.317796\pi\) |
−0.840597 | + | 0.541660i | \(0.817796\pi\) | |||||||
\(38\) | −5.40942 | + | 1.41729i | −0.877524 | + | 0.229914i | ||||
\(39\) | 6.18455 | − | 6.82467i | 0.990321 | − | 1.09282i | ||||
\(40\) | 6.14485 | − | 1.49694i | 0.971586 | − | 0.236688i | ||||
\(41\) | − | 1.07125i | − | 0.167301i | −0.996495 | − | 0.0836505i | \(-0.973342\pi\) | ||
0.996495 | − | 0.0836505i | \(-0.0266579\pi\) | |||||||
\(42\) | 0.809516 | − | 0.212096i | 0.124911 | − | 0.0327271i | ||||
\(43\) | 2.39102 | − | 2.39102i | 0.364627 | − | 0.364627i | −0.500886 | − | 0.865513i | \(-0.666992\pi\) |
0.865513 | + | 0.500886i | \(0.166992\pi\) | |||||||
\(44\) | 9.59220 | − | 5.39684i | 1.44608 | − | 0.813605i | ||||
\(45\) | −6.80164 | − | 3.98314i | −1.01393 | − | 0.593772i | ||||
\(46\) | 6.73750 | + | 3.93997i | 0.993390 | + | 0.580917i | ||||
\(47\) | −2.94373 | + | 2.94373i | −0.429388 | + | 0.429388i | −0.888420 | − | 0.459032i | \(-0.848196\pi\) |
0.459032 | + | 0.888420i | \(0.348196\pi\) | |||||||
\(48\) | 2.42454 | + | 9.92579i | 0.349953 | + | 1.43267i | ||||
\(49\) | 6.94634i | 0.992334i | ||||||||
\(50\) | −5.08874 | + | 4.90966i | −0.719656 | + | 0.694331i | ||||
\(51\) | − | 19.2838i | − | 2.70028i | ||||||
\(52\) | 6.10331 | − | 3.84053i | 0.846376 | − | 0.532586i | ||||
\(53\) | 7.51087 | + | 7.51087i | 1.03170 | + | 1.03170i | 0.999481 | + | 0.0322169i | \(0.0102567\pi\) |
0.0322169 | + | 0.999481i | \(0.489743\pi\) | |||||||
\(54\) | 0.957363 | − | 1.63713i | 0.130281 | − | 0.222785i | ||||
\(55\) | −6.21835 | + | 10.6185i | −0.838482 | + | 1.43180i | ||||
\(56\) | 0.655122 | + | 0.0109205i | 0.0875444 | + | 0.00145931i | ||||
\(57\) | 7.14212 | + | 7.14212i | 0.945998 | + | 0.945998i | ||||
\(58\) | −3.90424 | + | 1.02292i | −0.512652 | + | 0.134316i | ||||
\(59\) | − | 3.40057i | − | 0.442717i | −0.975193 | − | 0.221358i | \(-0.928951\pi\) | ||
0.975193 | − | 0.221358i | \(-0.0710491\pi\) | |||||||
\(60\) | −7.93689 | − | 8.21618i | −1.02465 | − | 1.06070i | ||||
\(61\) | −3.68135 | −0.471348 | −0.235674 | − | 0.971832i | \(-0.575730\pi\) | ||||
−0.235674 | + | 0.971832i | \(0.575730\pi\) | |||||||
\(62\) | −1.73574 | − | 6.62488i | −0.220439 | − | 0.841360i | ||||
\(63\) | −0.577405 | − | 0.577405i | −0.0727462 | − | 0.0727462i | ||||
\(64\) | −0.266636 | + | 7.99556i | −0.0333295 | + | 0.999444i | ||||
\(65\) | −3.72734 | + | 7.14891i | −0.462320 | + | 0.886713i | ||||
\(66\) | −17.1609 | − | 10.0354i | −2.11236 | − | 1.23527i | ||||
\(67\) | 2.55946 | − | 2.55946i | 0.312688 | − | 0.312688i | −0.533262 | − | 0.845950i | \(-0.679034\pi\) |
0.845950 | + | 0.533262i | \(0.179034\pi\) | |||||||
\(68\) | 4.06959 | − | 14.5397i | 0.493510 | − | 1.76320i | ||||
\(69\) | − | 14.0976i | − | 1.69715i | ||||||
\(70\) | −0.638661 | + | 0.358807i | −0.0763346 | + | 0.0428857i | ||||
\(71\) | 0.845000 | 0.100283 | 0.0501415 | − | 0.998742i | \(-0.484033\pi\) | ||||
0.0501415 | + | 0.998742i | \(0.484033\pi\) | |||||||
\(72\) | 7.16650 | − | 6.93149i | 0.844580 | − | 0.816884i | ||||
\(73\) | 3.98883 | − | 3.98883i | 0.466857 | − | 0.466857i | −0.434037 | − | 0.900895i | \(-0.642911\pi\) |
0.900895 | + | 0.434037i | \(0.142911\pi\) | |||||||
\(74\) | −1.83583 | + | 3.13935i | −0.213411 | + | 0.364942i | ||||
\(75\) | 12.2951 | + | 3.45778i | 1.41971 | + | 0.399270i | ||||
\(76\) | 3.87780 | + | 6.89229i | 0.444814 | + | 0.790600i | ||||
\(77\) | −0.901426 | + | 0.901426i | −0.102727 | + | 0.102727i | ||||
\(78\) | −11.5531 | − | 6.01453i | −1.30814 | − | 0.681012i | ||||
\(79\) | −6.47326 | −0.728298 | −0.364149 | − | 0.931341i | \(-0.618640\pi\) | ||||
−0.364149 | + | 0.931341i | \(0.618640\pi\) | |||||||
\(80\) | −4.25038 | − | 7.86984i | −0.475206 | − | 0.879874i | ||||
\(81\) | 7.14942 | 0.794381 | ||||||||
\(82\) | −1.46551 | + | 0.383968i | −0.161838 | + | 0.0424022i | ||||
\(83\) | −8.45583 | − | 8.45583i | −0.928148 | − | 0.928148i | 0.0694385 | − | 0.997586i | \(-0.477879\pi\) |
−0.997586 | + | 0.0694385i | \(0.977879\pi\) | |||||||
\(84\) | −0.580310 | − | 1.03143i | −0.0633170 | − | 0.112538i | ||||
\(85\) | 4.26824 | + | 16.3321i | 0.462955 | + | 1.77147i | ||||
\(86\) | −4.12802 | − | 2.41399i | −0.445136 | − | 0.260307i | ||||
\(87\) | 5.15482 | + | 5.15482i | 0.552654 | + | 0.552654i | ||||
\(88\) | −10.8212 | − | 11.1881i | −1.15355 | − | 1.19266i | ||||
\(89\) | −8.36507 | −0.886696 | −0.443348 | − | 0.896350i | \(-0.646209\pi\) | ||||
−0.443348 | + | 0.896350i | \(0.646209\pi\) | |||||||
\(90\) | −3.01118 | + | 10.7326i | −0.317406 | + | 1.13131i | ||||
\(91\) | −0.560862 | + | 0.618913i | −0.0587943 | + | 0.0648797i | ||||
\(92\) | 2.97510 | − | 10.6294i | 0.310176 | − | 1.10819i | ||||
\(93\) | −8.74691 | + | 8.74691i | −0.907012 | + | 0.907012i | ||||
\(94\) | 5.08226 | + | 2.97202i | 0.524195 | + | 0.306540i | ||||
\(95\) | −7.62972 | − | 4.46808i | −0.782793 | − | 0.458415i | ||||
\(96\) | 12.7098 | − | 6.87457i | 1.29719 | − | 0.701633i | ||||
\(97\) | 6.74011 | + | 6.74011i | 0.684354 | + | 0.684354i | 0.960978 | − | 0.276624i | \(-0.0892157\pi\) |
−0.276624 | + | 0.960978i | \(0.589216\pi\) | |||||||
\(98\) | 9.50285 | − | 2.48978i | 0.959933 | − | 0.251505i | ||||
\(99\) | 19.3983i | 1.94961i | ||||||||
\(100\) | 8.54056 | + | 5.20181i | 0.854056 | + | 0.520181i | ||||
\(101\) | 4.74976 | 0.472618 | 0.236309 | − | 0.971678i | \(-0.424062\pi\) | ||||
0.236309 | + | 0.971678i | \(0.424062\pi\) | |||||||
\(102\) | −26.3810 | + | 6.91191i | −2.61211 | + | 0.684381i | ||||
\(103\) | 3.08067 | − | 3.08067i | 0.303548 | − | 0.303548i | −0.538852 | − | 0.842400i | \(-0.681142\pi\) |
0.842400 | + | 0.538852i | \(0.181142\pi\) | |||||||
\(104\) | −7.44160 | − | 6.97299i | −0.729709 | − | 0.683758i | ||||
\(105\) | 1.14178 | + | 0.668645i | 0.111427 | + | 0.0652531i | ||||
\(106\) | 7.58304 | − | 12.9673i | 0.736530 | − | 1.25949i | ||||
\(107\) | 5.32573 | + | 5.32573i | 0.514858 | + | 0.514858i | 0.916011 | − | 0.401153i | \(-0.131390\pi\) |
−0.401153 | + | 0.916011i | \(0.631390\pi\) | |||||||
\(108\) | −2.58280 | − | 0.722913i | −0.248530 | − | 0.0695623i | ||||
\(109\) | −4.54240 | −0.435083 | −0.217541 | − | 0.976051i | \(-0.569804\pi\) | ||||
−0.217541 | + | 0.976051i | \(0.569804\pi\) | |||||||
\(110\) | 16.7554 | + | 4.70095i | 1.59756 | + | 0.448218i | ||||
\(111\) | 6.56879 | 0.623482 | ||||||||
\(112\) | −0.219876 | − | 0.900146i | −0.0207763 | − | 0.0850558i | ||||
\(113\) | −5.38073 | − | 5.38073i | −0.506176 | − | 0.506176i | 0.407174 | − | 0.913351i | \(-0.366514\pi\) |
−0.913351 | + | 0.407174i | \(0.866514\pi\) | |||||||
\(114\) | 7.21074 | − | 12.3307i | 0.675348 | − | 1.15487i | ||||
\(115\) | 3.12033 | + | 11.9397i | 0.290972 | + | 1.11338i | ||||
\(116\) | 2.79880 | + | 4.97450i | 0.259862 | + | 0.461871i | ||||
\(117\) | 0.624619 | + | 12.6942i | 0.0577461 | + | 1.17358i | ||||
\(118\) | −4.65211 | + | 1.21887i | −0.428262 | + | 0.112206i | ||||
\(119\) | 1.74880i | 0.160313i | ||||||||
\(120\) | −8.39522 | + | 13.8029i | −0.766375 | + | 1.26003i | ||||
\(121\) | 19.2841 | 1.75310 | ||||||||
\(122\) | 1.31951 | + | 5.03622i | 0.119462 | + | 0.455958i | ||||
\(123\) | 1.93493 | + | 1.93493i | 0.174467 | + | 0.174467i | ||||
\(124\) | −8.44094 | + | 4.74911i | −0.758019 | + | 0.426483i | ||||
\(125\) | −11.1784 | − | 0.207150i | −0.999828 | − | 0.0185281i | ||||
\(126\) | −0.582952 | + | 0.996871i | −0.0519335 | + | 0.0888083i | ||||
\(127\) | 1.90930 | + | 1.90930i | 0.169423 | + | 0.169423i | 0.786726 | − | 0.617303i | \(-0.211775\pi\) |
−0.617303 | + | 0.786726i | \(0.711775\pi\) | |||||||
\(128\) | 11.0338 | − | 2.50108i | 0.975259 | − | 0.221066i | ||||
\(129\) | 8.63750i | 0.760489i | ||||||||
\(130\) | 11.1160 | + | 2.53676i | 0.974935 | + | 0.222488i | ||||
\(131\) | 12.9187i | 1.12871i | 0.825531 | + | 0.564357i | \(0.190876\pi\) | ||||
−0.825531 | + | 0.564357i | \(0.809124\pi\) | |||||||
\(132\) | −7.57781 | + | 27.0738i | −0.659564 | + | 2.35647i | ||||
\(133\) | −0.647702 | − | 0.647702i | −0.0561629 | − | 0.0561629i | ||||
\(134\) | −4.41883 | − | 2.58405i | −0.381729 | − | 0.223228i | ||||
\(135\) | 2.90120 | − | 0.758200i | 0.249696 | − | 0.0652555i | ||||
\(136\) | −21.3495 | − | 0.355884i | −1.83071 | − | 0.0305168i | ||||
\(137\) | −8.36256 | − | 8.36256i | −0.714462 | − | 0.714462i | 0.253003 | − | 0.967465i | \(-0.418582\pi\) |
−0.967465 | + | 0.253003i | \(0.918582\pi\) | |||||||
\(138\) | −19.2860 | + | 5.05300i | −1.64174 | + | 0.430140i | ||||
\(139\) | −8.68654 | −0.736782 | −0.368391 | − | 0.929671i | \(-0.620091\pi\) | ||||
−0.368391 | + | 0.929671i | \(0.620091\pi\) | |||||||
\(140\) | 0.719777 | + | 0.745105i | 0.0608323 | + | 0.0629729i | ||||
\(141\) | − | 10.6342i | − | 0.895558i | ||||||
\(142\) | −0.302874 | − | 1.15599i | −0.0254166 | − | 0.0970087i | ||||
\(143\) | 19.8177 | − | 0.975136i | 1.65724 | − | 0.0815450i | ||||
\(144\) | −12.0512 | − | 7.31959i | −1.00427 | − | 0.609965i | ||||
\(145\) | −5.50674 | − | 3.22483i | −0.457310 | − | 0.267807i | ||||
\(146\) | −6.88659 | − | 4.02715i | −0.569938 | − | 0.333290i | ||||
\(147\) | −12.5467 | − | 12.5467i | −1.03484 | − | 1.03484i | ||||
\(148\) | 4.95276 | + | 1.38625i | 0.407115 | + | 0.113949i | ||||
\(149\) | 0.123061 | 0.0100815 | 0.00504077 | − | 0.999987i | \(-0.498395\pi\) | ||||
0.00504077 | + | 0.999987i | \(0.498395\pi\) | |||||||
\(150\) | 0.323457 | − | 18.0595i | 0.0264101 | − | 1.47455i | ||||
\(151\) | 10.1462 | 0.825688 | 0.412844 | − | 0.910802i | \(-0.364535\pi\) | ||||
0.412844 | + | 0.910802i | \(0.364535\pi\) | |||||||
\(152\) | 8.03900 | − | 7.77538i | 0.652049 | − | 0.630667i | ||||
\(153\) | 18.8168 | + | 18.8168i | 1.52125 | + | 1.52125i | ||||
\(154\) | 1.55628 | + | 0.910086i | 0.125409 | + | 0.0733368i | ||||
\(155\) | 5.47202 | − | 9.34406i | 0.439523 | − | 0.750533i | ||||
\(156\) | −4.08711 | + | 17.9609i | −0.327231 | + | 1.43802i | ||||
\(157\) | −1.00798 | + | 1.00798i | −0.0804455 | + | 0.0804455i | −0.746185 | − | 0.665739i | \(-0.768116\pi\) |
0.665739 | + | 0.746185i | \(0.268116\pi\) | |||||||
\(158\) | 2.32021 | + | 8.85566i | 0.184586 | + | 0.704518i | ||||
\(159\) | −27.1328 | −2.15177 | ||||||||
\(160\) | −9.24277 | + | 8.63546i | −0.730705 | + | 0.682693i | ||||
\(161\) | 1.27848i | 0.100758i | ||||||||
\(162\) | −2.56257 | − | 9.78068i | −0.201335 | − | 0.768443i | ||||
\(163\) | −7.07447 | − | 7.07447i | −0.554115 | − | 0.554115i | 0.373511 | − | 0.927626i | \(-0.378154\pi\) |
−0.927626 | + | 0.373511i | \(0.878154\pi\) | |||||||
\(164\) | 1.05057 | + | 1.86725i | 0.0820354 | + | 0.145807i | ||||
\(165\) | −7.94771 | − | 30.4113i | −0.618728 | − | 2.36752i | ||||
\(166\) | −8.53707 | + | 14.5987i | −0.662605 | + | 1.13308i | ||||
\(167\) | −4.86064 | + | 4.86064i | −0.376128 | + | 0.376128i | −0.869703 | − | 0.493575i | \(-0.835690\pi\) |
0.493575 | + | 0.869703i | \(0.335690\pi\) | |||||||
\(168\) | −1.20303 | + | 1.16358i | −0.0928159 | + | 0.0897723i | ||||
\(169\) | 12.9372 | − | 1.27625i | 0.995169 | − | 0.0981728i | ||||
\(170\) | 20.8131 | − | 11.6930i | 1.59629 | − | 0.896814i | ||||
\(171\) | −13.9383 | −1.06589 | ||||||||
\(172\) | −1.82283 | + | 6.51253i | −0.138989 | + | 0.496576i | ||||
\(173\) | −10.2707 | − | 10.2707i | −0.780868 | − | 0.780868i | 0.199109 | − | 0.979977i | \(-0.436195\pi\) |
−0.979977 | + | 0.199109i | \(0.936195\pi\) | |||||||
\(174\) | 5.20434 | − | 8.89963i | 0.394540 | − | 0.674679i | ||||
\(175\) | −1.11501 | − | 0.313578i | −0.0842868 | − | 0.0237043i | ||||
\(176\) | −11.4271 | + | 18.8140i | −0.861350 | + | 1.41816i | ||||
\(177\) | 6.14224 | + | 6.14224i | 0.461679 | + | 0.461679i | ||||
\(178\) | 2.99830 | + | 11.4437i | 0.224732 | + | 0.857744i | ||||
\(179\) | 2.77329 | 0.207286 | 0.103643 | − | 0.994615i | \(-0.466950\pi\) | ||||
0.103643 | + | 0.994615i | \(0.466950\pi\) | |||||||
\(180\) | 15.7619 | + | 0.272523i | 1.17482 | + | 0.0203127i | ||||
\(181\) | −17.0228 | −1.26530 | −0.632648 | − | 0.774439i | \(-0.718032\pi\) | ||||
−0.632648 | + | 0.774439i | \(0.718032\pi\) | |||||||
\(182\) | 1.04773 | + | 0.545443i | 0.0776627 | + | 0.0404310i | ||||
\(183\) | 6.64939 | − | 6.64939i | 0.491537 | − | 0.491537i | ||||
\(184\) | −15.6077 | − | 0.260171i | −1.15062 | − | 0.0191801i | ||||
\(185\) | −5.56332 | + | 1.45392i | −0.409024 | + | 0.106894i | ||||
\(186\) | 15.1013 | + | 8.83095i | 1.10728 | + | 0.647517i | ||||
\(187\) | 29.3762 | − | 29.3762i | 2.14820 | − | 2.14820i | ||||
\(188\) | 2.24419 | − | 8.01799i | 0.163675 | − | 0.584772i | ||||
\(189\) | 0.310654 | 0.0225967 | ||||||||
\(190\) | −3.37778 | + | 12.0392i | −0.245050 | + | 0.873418i | ||||
\(191\) | − | 10.8719i | − | 0.786660i | −0.919397 | − | 0.393330i | \(-0.871323\pi\) | ||
0.919397 | − | 0.393330i | \(-0.128677\pi\) | |||||||
\(192\) | −13.9603 | − | 14.9235i | −1.00750 | − | 1.07701i | ||||
\(193\) | −1.45498 | + | 1.45498i | −0.104732 | + | 0.104732i | −0.757531 | − | 0.652799i | \(-0.773594\pi\) |
0.652799 | + | 0.757531i | \(0.273594\pi\) | |||||||
\(194\) | 6.80486 | − | 11.6366i | 0.488561 | − | 0.835458i | ||||
\(195\) | −6.18017 | − | 19.6451i | −0.442571 | − | 1.40681i | ||||
\(196\) | −6.81222 | − | 12.1079i | −0.486587 | − | 0.864847i | ||||
\(197\) | −6.48486 | − | 6.48486i | −0.462027 | − | 0.462027i | 0.437292 | − | 0.899320i | \(-0.355938\pi\) |
−0.899320 | + | 0.437292i | \(0.855938\pi\) | |||||||
\(198\) | 26.5377 | − | 6.95295i | 1.88595 | − | 0.494125i | ||||
\(199\) | 15.4094 | 1.09234 | 0.546172 | − | 0.837673i | \(-0.316084\pi\) | ||||
0.546172 | + | 0.837673i | \(0.316084\pi\) | |||||||
\(200\) | 4.05509 | − | 13.5483i | 0.286738 | − | 0.958009i | ||||
\(201\) | 9.24600i | 0.652163i | ||||||||
\(202\) | −1.70246 | − | 6.49785i | −0.119784 | − | 0.457187i | ||||
\(203\) | −0.467478 | − | 0.467478i | −0.0328105 | − | 0.0328105i | ||||
\(204\) | 18.9115 | + | 33.6128i | 1.32407 | + | 2.35337i | ||||
\(205\) | −2.06703 | − | 1.21048i | −0.144367 | − | 0.0845437i | ||||
\(206\) | −5.31868 | − | 3.11027i | −0.370570 | − | 0.216703i | ||||
\(207\) | 13.7562 | + | 13.7562i | 0.956120 | + | 0.956120i | ||||
\(208\) | −6.87202 | + | 12.6797i | −0.476489 | + | 0.879180i | ||||
\(209\) | 21.7600i | 1.50517i | ||||||||
\(210\) | 0.505482 | − | 1.80166i | 0.0348816 | − | 0.124327i | ||||
\(211\) | 11.8632i | 0.816693i | 0.912827 | + | 0.408347i | \(0.133895\pi\) | ||||
−0.912827 | + | 0.408347i | \(0.866105\pi\) | |||||||
\(212\) | −20.4577 | − | 5.72601i | −1.40504 | − | 0.393264i | ||||
\(213\) | −1.52627 | + | 1.52627i | −0.104578 | + | 0.104578i | ||||
\(214\) | 5.37690 | − | 9.19471i | 0.367557 | − | 0.628537i | ||||
\(215\) | −1.91180 | − | 7.31538i | −0.130384 | − | 0.498905i | ||||
\(216\) | −0.0632184 | + | 3.79248i | −0.00430147 | + | 0.258046i | ||||
\(217\) | 0.793236 | − | 0.793236i | 0.0538484 | − | 0.0538484i | ||||
\(218\) | 1.62813 | + | 6.21417i | 0.110271 | + | 0.420877i | ||||
\(219\) | 14.4096i | 0.973707i | ||||||||
\(220\) | 0.425454 | − | 24.6069i | 0.0286841 | − | 1.65900i | ||||
\(221\) | 18.2777 | − | 20.1695i | 1.22949 | − | 1.35675i | ||||
\(222\) | −2.35445 | − | 8.98636i | −0.158021 | − | 0.603125i | ||||
\(223\) | −13.3351 | − | 13.3351i | −0.892984 | − | 0.892984i | 0.101819 | − | 0.994803i | \(-0.467534\pi\) |
−0.994803 | + | 0.101819i | \(0.967534\pi\) | |||||||
\(224\) | −1.15262 | + | 0.623438i | −0.0770129 | + | 0.0416552i | ||||
\(225\) | −15.3713 | + | 8.62325i | −1.02476 | + | 0.574884i | ||||
\(226\) | −5.43243 | + | 9.28966i | −0.361360 | + | 0.617939i | ||||
\(227\) | −12.4870 | + | 12.4870i | −0.828789 | + | 0.828789i | −0.987349 | − | 0.158560i | \(-0.949315\pi\) |
0.158560 | + | 0.987349i | \(0.449315\pi\) | |||||||
\(228\) | −19.4533 | − | 5.44489i | −1.28833 | − | 0.360597i | ||||
\(229\) | −22.5006 | −1.48688 | −0.743442 | − | 0.668800i | \(-0.766808\pi\) | ||||
−0.743442 | + | 0.668800i | \(0.766808\pi\) | |||||||
\(230\) | 15.2156 | − | 8.54828i | 1.00328 | − | 0.563657i | ||||
\(231\) | − | 3.25638i | − | 0.214254i | ||||||
\(232\) | 5.80213 | − | 5.61187i | 0.380929 | − | 0.368437i | ||||
\(233\) | −2.41578 | − | 2.41578i | −0.158263 | − | 0.158263i | 0.623534 | − | 0.781796i | \(-0.285696\pi\) |
−0.781796 | + | 0.623534i | \(0.785696\pi\) | |||||||
\(234\) | 17.1422 | − | 5.40448i | 1.12062 | − | 0.353302i | ||||
\(235\) | 2.35374 | + | 9.00642i | 0.153541 | + | 0.587514i | ||||
\(236\) | 3.33492 | + | 5.92739i | 0.217084 | + | 0.385840i | ||||
\(237\) | 11.6922 | − | 11.6922i | 0.759492 | − | 0.759492i | ||||
\(238\) | 2.39243 | − | 0.626824i | 0.155078 | − | 0.0406310i | ||||
\(239\) | 18.0281i | 1.16614i | 0.812422 | + | 0.583069i | \(0.198148\pi\) | ||||
−0.812422 | + | 0.583069i | \(0.801852\pi\) | |||||||
\(240\) | 21.8920 | + | 6.53760i | 1.41312 | + | 0.422001i | ||||
\(241\) | 6.86574i | 0.442261i | 0.975244 | + | 0.221131i | \(0.0709747\pi\) | ||||
−0.975244 | + | 0.221131i | \(0.929025\pi\) | |||||||
\(242\) | −6.91200 | − | 26.3814i | −0.444320 | − | 1.69586i | ||||
\(243\) | −15.7583 | + | 15.7583i | −1.01090 | + | 1.01090i | ||||
\(244\) | 6.41679 | − | 3.61027i | 0.410793 | − | 0.231124i | ||||
\(245\) | 13.4033 | + | 7.84917i | 0.856305 | + | 0.501465i | ||||
\(246\) | 1.95352 | − | 3.34059i | 0.124552 | − | 0.212989i | ||||
\(247\) | 0.700665 | + | 14.2396i | 0.0445823 | + | 0.906047i | ||||
\(248\) | 9.52246 | + | 9.84531i | 0.604677 | + | 0.625178i | ||||
\(249\) | 30.5465 | 1.93580 | ||||||||
\(250\) | 3.72329 | + | 15.3668i | 0.235482 | + | 0.971879i | ||||
\(251\) | 29.5621i | 1.86594i | 0.359951 | + | 0.932971i | \(0.382793\pi\) | ||||
−0.359951 | + | 0.932971i | \(0.617207\pi\) | |||||||
\(252\) | 1.57270 | + | 0.440192i | 0.0990711 | + | 0.0277295i | ||||
\(253\) | 21.4757 | − | 21.4757i | 1.35017 | − | 1.35017i | ||||
\(254\) | 1.92764 | − | 3.29634i | 0.120951 | − | 0.206831i | ||||
\(255\) | −37.2091 | − | 21.7902i | −2.33012 | − | 1.36456i | ||||
\(256\) | −7.37642 | − | 14.1982i | −0.461026 | − | 0.887387i | ||||
\(257\) | −17.4691 | + | 17.4691i | −1.08969 | + | 1.08969i | −0.0941336 | + | 0.995560i | \(0.530008\pi\) |
−0.995560 | + | 0.0941336i | \(0.969992\pi\) | |||||||
\(258\) | 11.8164 | − | 3.09594i | 0.735659 | − | 0.192745i | ||||
\(259\) | −0.595708 | −0.0370155 | ||||||||
\(260\) | −0.513919 | − | 16.1163i | −0.0318719 | − | 0.999492i | ||||
\(261\) | −10.0600 | −0.622695 | ||||||||
\(262\) | 17.6733 | − | 4.63046i | 1.09186 | − | 0.286071i | ||||
\(263\) | 11.9852 | − | 11.9852i | 0.739039 | − | 0.739039i | −0.233353 | − | 0.972392i | \(-0.574970\pi\) |
0.972392 | + | 0.233353i | \(0.0749697\pi\) | |||||||
\(264\) | 39.7541 | + | 0.662676i | 2.44669 | + | 0.0407849i | ||||
\(265\) | 22.9797 | − | 6.00552i | 1.41163 | − | 0.368916i | ||||
\(266\) | −0.653925 | + | 1.11824i | −0.0400947 | + | 0.0685635i | ||||
\(267\) | 15.1093 | − | 15.1093i | 0.924675 | − | 0.924675i | ||||
\(268\) | −1.95124 | + | 6.97134i | −0.119191 | + | 0.425842i | ||||
\(269\) | − | 7.60815i | − | 0.463877i | −0.972730 | − | 0.231939i | \(-0.925493\pi\) | ||
0.972730 | − | 0.231939i | \(-0.0745069\pi\) | |||||||
\(270\) | −2.07712 | − | 3.69719i | −0.126410 | − | 0.225004i | ||||
\(271\) | −21.2833 | −1.29287 | −0.646435 | − | 0.762969i | \(-0.723741\pi\) | ||||
−0.646435 | + | 0.762969i | \(0.723741\pi\) | |||||||
\(272\) | 7.16545 | + | 29.3345i | 0.434469 | + | 1.77867i | ||||
\(273\) | −0.104854 | − | 2.13095i | −0.00634606 | − | 0.128971i | ||||
\(274\) | −8.44291 | + | 14.4377i | −0.510055 | + | 0.872213i | ||||
\(275\) | 13.4623 | + | 23.9972i | 0.811810 | + | 1.44709i | ||||
\(276\) | 13.8254 | + | 24.5729i | 0.832191 | + | 1.47911i | ||||
\(277\) | 2.57091 | − | 2.57091i | 0.154471 | − | 0.154471i | −0.625640 | − | 0.780112i | \(-0.715162\pi\) |
0.780112 | + | 0.625640i | \(0.215162\pi\) | |||||||
\(278\) | 3.11352 | + | 11.8835i | 0.186736 | + | 0.712726i | ||||
\(279\) | − | 17.0702i | − | 1.02196i | ||||||
\(280\) | 0.761342 | − | 1.25175i | 0.0454989 | − | 0.0748064i | ||||
\(281\) | − | 21.5337i | − | 1.28459i | −0.766457 | − | 0.642296i | \(-0.777982\pi\) | ||
0.766457 | − | 0.642296i | \(-0.222018\pi\) | |||||||
\(282\) | −14.5479 | + | 3.81160i | −0.866317 | + | 0.226978i | ||||
\(283\) | 14.9022 | − | 14.9022i | 0.885845 | − | 0.885845i | −0.108275 | − | 0.994121i | \(-0.534533\pi\) |
0.994121 | + | 0.108275i | \(0.0345329\pi\) | |||||||
\(284\) | −1.47288 | + | 0.828685i | −0.0873995 | + | 0.0491734i | ||||
\(285\) | 21.8515 | − | 5.71067i | 1.29437 | − | 0.338271i | ||||
\(286\) | −8.43729 | − | 26.7619i | −0.498908 | − | 1.58246i | ||||
\(287\) | −0.175474 | − | 0.175474i | −0.0103579 | − | 0.0103579i | ||||
\(288\) | −5.69394 | + | 19.1101i | −0.335519 | + | 1.12607i | ||||
\(289\) | − | 39.9911i | − | 2.35242i | ||||||
\(290\) | −2.43791 | + | 8.68930i | −0.143159 | + | 0.510253i | ||||
\(291\) | −24.3485 | −1.42733 | ||||||||
\(292\) | −3.04094 | + | 10.8646i | −0.177957 | + | 0.635801i | ||||
\(293\) | −19.5898 | + | 19.5898i | −1.14445 | + | 1.14445i | −0.156819 | + | 0.987627i | \(0.550124\pi\) |
−0.987627 | + | 0.156819i | \(0.949876\pi\) | |||||||
\(294\) | −12.6673 | + | 21.6615i | −0.738771 | + | 1.26333i | ||||
\(295\) | −6.56157 | − | 3.84256i | −0.382030 | − | 0.223722i | ||||
\(296\) | 0.121227 | − | 7.27244i | 0.00704619 | − | 0.422702i | ||||
\(297\) | −5.21833 | − | 5.21833i | −0.302798 | − | 0.302798i | ||||
\(298\) | −0.0441087 | − | 0.168352i | −0.00255515 | − | 0.00975236i | ||||
\(299\) | 13.3621 | − | 14.7451i | 0.772748 | − | 0.852730i | ||||
\(300\) | −24.8220 | + | 6.03056i | −1.43310 | + | 0.348175i | ||||
\(301\) | − | 0.783314i | − | 0.0451495i | ||||||
\(302\) | −3.63672 | − | 13.8804i | −0.209269 | − | 0.798729i | ||||
\(303\) | −8.57919 | + | 8.57919i | −0.492861 | + | 0.492861i | ||||
\(304\) | −13.5184 | − | 8.21072i | −0.775336 | − | 0.470917i | ||||
\(305\) | −4.15982 | + | 7.10334i | −0.238191 | + | 0.406736i | ||||
\(306\) | 18.9976 | − | 32.4866i | 1.08602 | − | 1.85714i | ||||
\(307\) | −9.48956 | + | 9.48956i | −0.541598 | + | 0.541598i | −0.923997 | − | 0.382399i | \(-0.875098\pi\) |
0.382399 | + | 0.923997i | \(0.375098\pi\) | |||||||
\(308\) | 0.687214 | − | 2.45526i | 0.0391576 | − | 0.139901i | ||||
\(309\) | 11.1289i | 0.633098i | ||||||||
\(310\) | −14.7444 | − | 4.13674i | −0.837424 | − | 0.234951i | ||||
\(311\) | 11.0553i | 0.626889i | 0.949606 | + | 0.313445i | \(0.101483\pi\) | ||||
−0.949606 | + | 0.313445i | \(0.898517\pi\) | |||||||
\(312\) | 26.0362 | − | 0.846415i | 1.47401 | − | 0.0479188i | ||||
\(313\) | 15.6291 | + | 15.6291i | 0.883412 | + | 0.883412i | 0.993880 | − | 0.110468i | \(-0.0352349\pi\) |
−0.110468 | + | 0.993880i | \(0.535235\pi\) | |||||||
\(314\) | 1.74024 | + | 1.01766i | 0.0982077 | + | 0.0574301i | ||||
\(315\) | −1.76658 | + | 0.461679i | −0.0995357 | + | 0.0260127i | ||||
\(316\) | 11.2832 | − | 6.34827i | 0.634732 | − | 0.357118i | ||||
\(317\) | −10.0029 | − | 10.0029i | −0.561821 | − | 0.561821i | 0.368003 | − | 0.929824i | \(-0.380041\pi\) |
−0.929824 | + | 0.368003i | \(0.880041\pi\) | |||||||
\(318\) | 9.72523 | + | 37.1188i | 0.545364 | + | 2.08152i | ||||
\(319\) | 15.7053i | 0.879327i | ||||||||
\(320\) | 15.1265 | + | 9.54925i | 0.845599 | + | 0.533819i | ||||
\(321\) | −19.2391 | −1.07382 | ||||||||
\(322\) | 1.74900 | − | 0.458245i | 0.0974682 | − | 0.0255370i | ||||
\(323\) | 21.1077 | + | 21.1077i | 1.17446 | + | 1.17446i | ||||
\(324\) | −12.4618 | + | 7.01139i | −0.692325 | + | 0.389521i | ||||
\(325\) | 9.58238 | + | 15.2702i | 0.531535 | + | 0.847036i | ||||
\(326\) | −7.14244 | + | 12.2138i | −0.395583 | + | 0.676463i | ||||
\(327\) | 8.20465 | − | 8.20465i | 0.453718 | − | 0.453718i | ||||
\(328\) | 2.17791 | − | 2.10649i | 0.120255 | − | 0.116311i | ||||
\(329\) | 0.964386i | 0.0531683i | ||||||||
\(330\) | −38.7552 | + | 21.7731i | −2.13340 | + | 1.19857i | ||||
\(331\) | 12.4043 | 0.681800 | 0.340900 | − | 0.940100i | \(-0.389268\pi\) | ||||
0.340900 | + | 0.940100i | \(0.389268\pi\) | |||||||
\(332\) | 23.0315 | + | 6.44641i | 1.26402 | + | 0.353793i | ||||
\(333\) | −6.40971 | + | 6.40971i | −0.351250 | + | 0.351250i | ||||
\(334\) | 8.39174 | + | 4.90734i | 0.459176 | + | 0.268518i | ||||
\(335\) | −2.04649 | − | 7.83074i | −0.111812 | − | 0.427839i | ||||
\(336\) | 2.02303 | + | 1.22873i | 0.110365 | + | 0.0670327i | ||||
\(337\) | 5.74054 | − | 5.74054i | 0.312707 | − | 0.312707i | −0.533250 | − | 0.845958i | \(-0.679030\pi\) |
0.845958 | + | 0.533250i | \(0.179030\pi\) | |||||||
\(338\) | −6.38304 | − | 17.2411i | −0.347191 | − | 0.937794i | ||||
\(339\) | 19.4378 | 1.05571 | ||||||||
\(340\) | −23.4565 | − | 24.2819i | −1.27211 | − | 1.31687i | ||||
\(341\) | −26.6494 | −1.44314 | ||||||||
\(342\) | 4.99591 | + | 19.0681i | 0.270148 | + | 1.03109i | ||||
\(343\) | 2.28446 | + | 2.28446i | 0.123349 | + | 0.123349i | ||||
\(344\) | 9.56275 | + | 0.159405i | 0.515589 | + | 0.00859455i | ||||
\(345\) | −27.2020 | − | 15.9299i | −1.46451 | − | 0.857637i | ||||
\(346\) | −10.3694 | + | 17.7321i | −0.557462 | + | 0.953282i | ||||
\(347\) | −18.9733 | − | 18.9733i | −1.01854 | − | 1.01854i | −0.999825 | − | 0.0187150i | \(-0.994042\pi\) |
−0.0187150 | − | 0.999825i | \(-0.505958\pi\) | |||||||
\(348\) | −14.0404 | − | 3.92984i | −0.752646 | − | 0.210662i | ||||
\(349\) | −6.46256 | −0.345933 | −0.172966 | − | 0.984928i | \(-0.555335\pi\) | ||||
−0.172966 | + | 0.984928i | \(0.555335\pi\) | |||||||
\(350\) | −0.0293335 | + | 1.63777i | −0.00156794 | + | 0.0875425i | ||||
\(351\) | −3.58287 | − | 3.24681i | −0.191239 | − | 0.173302i | ||||
\(352\) | 29.8341 | + | 8.88920i | 1.59016 | + | 0.473796i | ||||
\(353\) | 11.1294 | − | 11.1294i | 0.592358 | − | 0.592358i | −0.345910 | − | 0.938268i | \(-0.612430\pi\) |
0.938268 | + | 0.345910i | \(0.112430\pi\) | |||||||
\(354\) | 6.20125 | − | 10.6044i | 0.329593 | − | 0.563617i | ||||
\(355\) | 0.954827 | − | 1.63047i | 0.0506770 | − | 0.0865363i | ||||
\(356\) | 14.5808 | − | 8.20356i | 0.772780 | − | 0.434788i | ||||
\(357\) | −3.15876 | − | 3.15876i | −0.167179 | − | 0.167179i | ||||
\(358\) | −0.994032 | − | 3.79397i | −0.0525362 | − | 0.200518i | ||||
\(359\) | − | 25.0442i | − | 1.32178i | −0.750481 | − | 0.660892i | \(-0.770178\pi\) | ||
0.750481 | − | 0.660892i | \(-0.229822\pi\) | |||||||
\(360\) | −5.27671 | − | 21.6605i | −0.278107 | − | 1.14161i | ||||
\(361\) | 3.36474 | 0.177091 | ||||||||
\(362\) | 6.10149 | + | 23.2879i | 0.320687 | + | 1.22398i | ||||
\(363\) | −34.8316 | + | 34.8316i | −1.82819 | + | 1.82819i | ||||
\(364\) | 0.370650 | − | 1.62883i | 0.0194274 | − | 0.0853741i | ||||
\(365\) | −3.18937 | − | 12.2039i | −0.166939 | − | 0.638782i | ||||
\(366\) | −11.4800 | − | 6.71327i | −0.600067 | − | 0.350908i | ||||
\(367\) | −20.9337 | − | 20.9337i | −1.09273 | − | 1.09273i | −0.995236 | − | 0.0974934i | \(-0.968918\pi\) |
−0.0974934 | − | 0.995236i | \(-0.531082\pi\) | |||||||
\(368\) | 5.23836 | + | 21.4452i | 0.273068 | + | 1.11791i | ||||
\(369\) | −3.77614 | −0.196578 | ||||||||
\(370\) | 3.98308 | + | 7.08971i | 0.207071 | + | 0.368576i | ||||
\(371\) | 2.46061 | 0.127749 | ||||||||
\(372\) | 6.66832 | − | 23.8244i | 0.345736 | − | 1.23524i | ||||
\(373\) | −6.04223 | − | 6.04223i | −0.312855 | − | 0.312855i | 0.533160 | − | 0.846014i | \(-0.321004\pi\) |
−0.846014 | + | 0.533160i | \(0.821004\pi\) | |||||||
\(374\) | −50.7171 | − | 29.6584i | −2.62252 | − | 1.53360i | ||||
\(375\) | 20.5650 | − | 19.8167i | 1.06197 | − | 1.02333i | ||||
\(376\) | −11.7733 | − | 0.196254i | −0.607161 | − | 0.0101210i | ||||
\(377\) | 0.505704 | + | 10.2774i | 0.0260451 | + | 0.529315i | ||||
\(378\) | −0.111348 | − | 0.424986i | −0.00572711 | − | 0.0218589i | ||||
\(379\) | 7.86972i | 0.404241i | 0.979361 | + | 0.202120i | \(0.0647832\pi\) | ||||
−0.979361 | + | 0.202120i | \(0.935217\pi\) | |||||||
\(380\) | 17.6808 | + | 0.305702i | 0.907008 | + | 0.0156822i | ||||
\(381\) | −6.89729 | −0.353359 | ||||||||
\(382\) | −14.8731 | + | 3.89680i | −0.760974 | + | 0.199378i | ||||
\(383\) | 14.1927 | + | 14.1927i | 0.725214 | + | 0.725214i | 0.969662 | − | 0.244448i | \(-0.0786069\pi\) |
−0.244448 | + | 0.969662i | \(0.578607\pi\) | |||||||
\(384\) | −15.4121 | + | 24.4472i | −0.786496 | + | 1.24757i | ||||
\(385\) | 0.720759 | + | 2.75793i | 0.0367333 | + | 0.140557i | ||||
\(386\) | 2.51197 | + | 1.46896i | 0.127856 | + | 0.0747679i | ||||
\(387\) | −8.42831 | − | 8.42831i | −0.428435 | − | 0.428435i | ||||
\(388\) | −18.3584 | − | 5.13841i | −0.932004 | − | 0.260863i | ||||
\(389\) | 6.86099i | 0.347866i | 0.984758 | + | 0.173933i | \(0.0556476\pi\) | ||||
−0.984758 | + | 0.173933i | \(0.944352\pi\) | |||||||
\(390\) | −24.6601 | + | 15.4961i | −1.24871 | + | 0.784675i | ||||
\(391\) | − | 41.6638i | − | 2.10703i | ||||||
\(392\) | −14.1223 | + | 13.6592i | −0.713284 | + | 0.689893i | ||||
\(393\) | −23.3343 | − | 23.3343i | −1.17706 | − | 1.17706i | ||||
\(394\) | −6.54717 | + | 11.1959i | −0.329842 | + | 0.564042i | ||||
\(395\) | −7.31461 | + | 12.4905i | −0.368038 | + | 0.628464i | ||||
\(396\) | −19.0238 | − | 33.8124i | −0.955983 | − | 1.69914i | ||||
\(397\) | 19.7640 | + | 19.7640i | 0.991926 | + | 0.991926i | 0.999968 | − | 0.00804162i | \(-0.00255975\pi\) |
−0.00804162 | + | 0.999968i | \(0.502560\pi\) | |||||||
\(398\) | −5.52320 | − | 21.0807i | −0.276853 | − | 1.05668i | ||||
\(399\) | 2.33981 | 0.117137 | ||||||||
\(400\) | −19.9880 | − | 0.691394i | −0.999402 | − | 0.0345697i | ||||
\(401\) | 4.02695i | 0.201096i | 0.994932 | + | 0.100548i | \(0.0320596\pi\) | ||||
−0.994932 | + | 0.100548i | \(0.967940\pi\) | |||||||
\(402\) | 12.6489 | − | 3.31405i | 0.630869 | − | 0.165290i | ||||
\(403\) | −17.4392 | + | 0.858100i | −0.868708 | + | 0.0427450i | ||||
\(404\) | −8.27909 | + | 4.65805i | −0.411900 | + | 0.231747i | ||||
\(405\) | 8.07866 | − | 13.7952i | 0.401432 | − | 0.685487i | ||||
\(406\) | −0.471969 | + | 0.807086i | −0.0234234 | + | 0.0400550i | ||||
\(407\) | 10.0066 | + | 10.0066i | 0.496010 | + | 0.496010i | ||||
\(408\) | 39.2051 | − | 37.9195i | 1.94094 | − | 1.87729i | ||||
\(409\) | −17.7152 | −0.875961 | −0.437981 | − | 0.898984i | \(-0.644306\pi\) | ||||
−0.437981 | + | 0.898984i | \(0.644306\pi\) | |||||||
\(410\) | −0.915101 | + | 3.26165i | −0.0451936 | + | 0.161081i | ||||
\(411\) | 30.2095 | 1.49013 | ||||||||
\(412\) | −2.34859 | + | 8.39098i | −0.115707 | + | 0.413394i | ||||
\(413\) | −0.557025 | − | 0.557025i | −0.0274094 | − | 0.0274094i | ||||
\(414\) | 13.8883 | − | 23.7496i | 0.682575 | − | 1.16723i | ||||
\(415\) | −25.8708 | + | 6.76108i | −1.26995 | + | 0.331888i | ||||
\(416\) | 19.8095 | + | 4.85639i | 0.971240 | + | 0.238104i | ||||
\(417\) | 15.6899 | − | 15.6899i | 0.768340 | − | 0.768340i | ||||
\(418\) | 29.7686 | − | 7.79946i | 1.45603 | − | 0.381484i | ||||
\(419\) | 10.3928 | 0.507720 | 0.253860 | − | 0.967241i | \(-0.418300\pi\) | ||||
0.253860 | + | 0.967241i | \(0.418300\pi\) | |||||||
\(420\) | −2.64593 | − | 0.0457481i | −0.129108 | − | 0.00223228i | ||||
\(421\) | 21.0719i | 1.02698i | 0.858095 | + | 0.513491i | \(0.171648\pi\) | ||||
−0.858095 | + | 0.513491i | \(0.828352\pi\) | |||||||
\(422\) | 16.2293 | − | 4.25211i | 0.790028 | − | 0.206990i | ||||
\(423\) | 10.3766 | + | 10.3766i | 0.504529 | + | 0.504529i | ||||
\(424\) | −0.500737 | + | 30.0393i | −0.0243179 | + | 1.45884i | ||||
\(425\) | 36.3366 | + | 10.2191i | 1.76258 | + | 0.495698i | ||||
\(426\) | 2.63506 | + | 1.54093i | 0.127669 | + | 0.0746585i | ||||
\(427\) | −0.603017 | + | 0.603017i | −0.0291820 | + | 0.0291820i | ||||
\(428\) | −14.5060 | − | 4.06014i | −0.701172 | − | 0.196254i | ||||
\(429\) | −34.0342 | + | 37.5568i | −1.64319 | + | 1.81326i | ||||
\(430\) | −9.32247 | + | 5.23747i | −0.449569 | + | 0.252573i | ||||
\(431\) | −8.95805 | −0.431494 | −0.215747 | − | 0.976449i | \(-0.569219\pi\) | ||||
−0.215747 | + | 0.976449i | \(0.569219\pi\) | |||||||
\(432\) | 5.21092 | − | 1.27286i | 0.250711 | − | 0.0612403i | ||||
\(433\) | −7.88055 | − | 7.88055i | −0.378715 | − | 0.378715i | 0.491924 | − | 0.870638i | \(-0.336294\pi\) |
−0.870638 | + | 0.491924i | \(0.836294\pi\) | |||||||
\(434\) | −1.36950 | − | 0.800857i | −0.0657380 | − | 0.0384424i | ||||
\(435\) | 15.7713 | − | 4.12167i | 0.756175 | − | 0.197619i | ||||
\(436\) | 7.91765 | − | 4.45469i | 0.379187 | − | 0.213341i | ||||
\(437\) | 15.4310 | + | 15.4310i | 0.738163 | + | 0.738163i | ||||
\(438\) | 19.7128 | − | 5.16482i | 0.941915 | − | 0.246785i | ||||
\(439\) | 6.72857 | 0.321137 | 0.160569 | − | 0.987025i | \(-0.448667\pi\) | ||||
0.160569 | + | 0.987025i | \(0.448667\pi\) | |||||||
\(440\) | −33.8157 | + | 8.23783i | −1.61210 | + | 0.392723i | ||||
\(441\) | 24.4858 | 1.16599 | ||||||||
\(442\) | −34.1439 | − | 17.7752i | −1.62406 | − | 0.845482i | ||||
\(443\) | 19.9839 | − | 19.9839i | 0.949463 | − | 0.949463i | −0.0493202 | − | 0.998783i | \(-0.515705\pi\) |
0.998783 | + | 0.0493202i | \(0.0157055\pi\) | |||||||
\(444\) | −11.4498 | + | 6.44196i | −0.543382 | + | 0.305722i | ||||
\(445\) | −9.45231 | + | 16.1408i | −0.448082 | + | 0.765148i | ||||
\(446\) | −13.4632 | + | 23.0226i | −0.637501 | + | 1.09015i | ||||
\(447\) | −0.222277 | + | 0.222277i | −0.0105133 | + | 0.0105133i | ||||
\(448\) | 1.26602 | + | 1.35337i | 0.0598139 | + | 0.0639409i | ||||
\(449\) | 26.2168 | 1.23725 | 0.618623 | − | 0.785688i | \(-0.287691\pi\) | ||||
0.618623 | + | 0.785688i | \(0.287691\pi\) | |||||||
\(450\) | 17.3065 | + | 17.9377i | 0.815836 | + | 0.845593i | ||||
\(451\) | 5.89519i | 0.277593i | ||||||||
\(452\) | 14.6558 | + | 4.10207i | 0.689349 | + | 0.192945i | ||||
\(453\) | −18.3265 | + | 18.3265i | −0.861054 | + | 0.861054i | ||||
\(454\) | 21.5584 | + | 12.6069i | 1.01178 | + | 0.591673i | ||||
\(455\) | 0.560464 | + | 1.78157i | 0.0262750 | + | 0.0835211i | ||||
\(456\) | −0.476153 | + | 28.5645i | −0.0222979 | + | 1.33766i | ||||
\(457\) | −24.2798 | − | 24.2798i | −1.13576 | − | 1.13576i | −0.989202 | − | 0.146559i | \(-0.953180\pi\) |
−0.146559 | − | 0.989202i | \(-0.546820\pi\) | |||||||
\(458\) | 8.06491 | + | 30.7817i | 0.376848 | + | 1.43834i | ||||
\(459\) | −10.1238 | −0.472537 | ||||||||
\(460\) | −17.1481 | − | 17.7515i | −0.799534 | − | 0.827668i | ||||
\(461\) | 19.0541i | 0.887437i | 0.896166 | + | 0.443718i | \(0.146341\pi\) | ||||
−0.896166 | + | 0.443718i | \(0.853659\pi\) | |||||||
\(462\) | −4.45485 | + | 1.16718i | −0.207258 | + | 0.0543023i | ||||
\(463\) | 25.5890 | + | 25.5890i | 1.18922 | + | 1.18922i | 0.977283 | + | 0.211938i | \(0.0679774\pi\) |
0.211938 | + | 0.977283i | \(0.432023\pi\) | |||||||
\(464\) | −9.75691 | − | 5.92608i | −0.452953 | − | 0.275111i | ||||
\(465\) | 6.99382 | + | 26.7614i | 0.324331 | + | 1.24103i | ||||
\(466\) | −2.43899 | + | 4.17076i | −0.112984 | + | 0.193207i | ||||
\(467\) | 15.7814 | + | 15.7814i | 0.730276 | + | 0.730276i | 0.970674 | − | 0.240399i | \(-0.0772782\pi\) |
−0.240399 | + | 0.970674i | \(0.577278\pi\) | |||||||
\(468\) | −13.5378 | − | 21.5141i | −0.625786 | − | 0.994489i | ||||
\(469\) | − | 0.838498i | − | 0.0387182i | ||||||
\(470\) | 11.4775 | − | 6.44818i | 0.529416 | − | 0.297432i | ||||
\(471\) | − | 3.64130i | − | 0.167782i | ||||||
\(472\) | 6.91356 | − | 6.68684i | 0.318222 | − | 0.307787i | ||||
\(473\) | −13.1580 | + | 13.1580i | −0.605006 | + | 0.605006i | ||||
\(474\) | −20.1863 | − | 11.8046i | −0.927186 | − | 0.542202i | ||||
\(475\) | −17.2428 | + | 9.67311i | −0.791152 | + | 0.443833i | ||||
\(476\) | −1.71504 | − | 3.04826i | −0.0786087 | − | 0.139717i | ||||
\(477\) | 26.4757 | − | 26.4757i | 1.21224 | − | 1.21224i | ||||
\(478\) | 24.6631 | − | 6.46180i | 1.12806 | − | 0.295556i | ||||
\(479\) | − | 25.6415i | − | 1.17159i | −0.810459 | − | 0.585795i | \(-0.800782\pi\) | ||
0.810459 | − | 0.585795i | \(-0.199218\pi\) | |||||||
\(480\) | 1.09694 | − | 32.2923i | 0.0500684 | − | 1.47394i | ||||
\(481\) | 6.87049 | + | 6.22607i | 0.313267 | + | 0.283884i | ||||
\(482\) | 9.39259 | − | 2.46089i | 0.427821 | − | 0.112090i | ||||
\(483\) | −2.30923 | − | 2.30923i | −0.105074 | − | 0.105074i | ||||
\(484\) | −33.6132 | + | 18.9117i | −1.52787 | + | 0.859625i | ||||
\(485\) | 20.6215 | − | 5.38923i | 0.936375 | − | 0.244712i | ||||
\(486\) | 27.2062 | + | 15.9097i | 1.23410 | + | 0.721679i | ||||
\(487\) | −29.4309 | + | 29.4309i | −1.33364 | + | 1.33364i | −0.431551 | + | 0.902089i | \(0.642033\pi\) |
−0.902089 | + | 0.431551i | \(0.857967\pi\) | |||||||
\(488\) | −7.23896 | − | 7.48439i | −0.327692 | − | 0.338802i | ||||
\(489\) | 25.5564 | 1.15570 | ||||||||
\(490\) | 5.93382 | − | 21.1496i | 0.268063 | − | 0.955442i | ||||
\(491\) | 0.827418i | 0.0373409i | 0.999826 | + | 0.0186704i | \(0.00594333\pi\) | ||||
−0.999826 | + | 0.0186704i | \(0.994057\pi\) | |||||||
\(492\) | −5.27026 | − | 1.47512i | −0.237602 | − | 0.0665035i | ||||
\(493\) | 15.2345 | + | 15.2345i | 0.686125 | + | 0.686125i | ||||
\(494\) | 19.2292 | − | 6.06246i | 0.865164 | − | 0.272763i | ||||
\(495\) | 37.4301 | + | 21.9196i | 1.68236 | + | 0.985213i | ||||
\(496\) | 10.0556 | − | 16.5559i | 0.451510 | − | 0.743384i | ||||
\(497\) | 0.138414 | − | 0.138414i | 0.00620871 | − | 0.00620871i | ||||
\(498\) | −10.9488 | − | 41.7887i | −0.490626 | − | 1.87260i | ||||
\(499\) | − | 3.46199i | − | 0.154980i | −0.996993 | − | 0.0774901i | \(-0.975309\pi\) | ||
0.996993 | − | 0.0774901i | \(-0.0246906\pi\) | |||||||
\(500\) | 19.6878 | − | 10.6015i | 0.880463 | − | 0.474114i | ||||
\(501\) | − | 17.5589i | − | 0.784476i | ||||||
\(502\) | 40.4421 | − | 10.5959i | 1.80502 | − | 0.472920i | ||||
\(503\) | −31.3922 | + | 31.3922i | −1.39971 | + | 1.39971i | −0.598840 | + | 0.800868i | \(0.704372\pi\) |
−0.800868 | + | 0.598840i | \(0.795628\pi\) | |||||||
\(504\) | 0.0384946 | − | 2.30930i | 0.00171469 | − | 0.102864i | ||||
\(505\) | 5.36710 | − | 9.16489i | 0.238833 | − | 0.407832i | ||||
\(506\) | −37.0771 | − | 21.6820i | −1.64828 | − | 0.963884i | ||||
\(507\) | −21.0625 | + | 25.6729i | −0.935416 | + | 1.14017i | ||||
\(508\) | −5.20045 | − | 1.45558i | −0.230733 | − | 0.0645809i | ||||
\(509\) | −14.2413 | −0.631233 | −0.315616 | − | 0.948887i | \(-0.602211\pi\) | ||||
−0.315616 | + | 0.948887i | \(0.602211\pi\) | |||||||
\(510\) | −16.4730 | + | 58.7137i | −0.729435 | + | 2.59989i | ||||
\(511\) | − | 1.30677i | − | 0.0578080i | ||||||
\(512\) | −16.7797 | + | 15.1803i | −0.741566 | + | 0.670880i | ||||
\(513\) | 3.74953 | − | 3.74953i | 0.165546 | − | 0.165546i | ||||
\(514\) | 30.1599 | + | 17.6369i | 1.33029 | + | 0.777932i | ||||
\(515\) | −2.46323 | − | 9.42539i | −0.108543 | − | 0.415332i | ||||
\(516\) | −8.47073 | − | 15.0556i | −0.372903 | − | 0.662788i | ||||
\(517\) | 16.1996 | − | 16.1996i | 0.712460 | − | 0.712460i | ||||
\(518\) | 0.213520 | + | 0.814951i | 0.00938152 | + | 0.0358069i | ||||
\(519\) | 37.1027 | 1.62863 | ||||||||
\(520\) | −21.8635 | + | 6.47964i | −0.958780 | + | 0.284151i | ||||
\(521\) | −34.5357 | −1.51304 | −0.756519 | − | 0.653972i | \(-0.773101\pi\) | ||||
−0.756519 | + | 0.653972i | \(0.773101\pi\) | |||||||
\(522\) | 3.60579 | + | 13.7624i | 0.157821 | + | 0.602364i | ||||
\(523\) | 25.5110 | − | 25.5110i | 1.11552 | − | 1.11552i | 0.123127 | − | 0.992391i | \(-0.460708\pi\) |
0.992391 | − | 0.123127i | \(-0.0392921\pi\) | |||||||
\(524\) | −12.6693 | − | 22.5180i | −0.553460 | − | 0.983705i | ||||
\(525\) | 2.58037 | − | 1.44758i | 0.112616 | − | 0.0631774i | ||||
\(526\) | −20.6921 | − | 12.1004i | −0.902217 | − | 0.527601i | ||||
\(527\) | −25.8505 | + | 25.8505i | −1.12606 | + | 1.12606i | ||||
\(528\) | −13.3425 | − | 54.6226i | −0.580658 | − | 2.37714i | ||||
\(529\) | − | 7.45862i | − | 0.324288i | ||||||
\(530\) | −16.4524 | − | 29.2845i | −0.714646 | − | 1.27204i | ||||
\(531\) | −11.9870 | −0.520190 | ||||||||
\(532\) | 1.76418 | + | 0.493784i | 0.0764868 | + | 0.0214083i | ||||
\(533\) | 0.189823 | + | 3.85777i | 0.00822214 | + | 0.167099i | ||||
\(534\) | −26.0857 | − | 15.2545i | −1.12884 | − | 0.660126i | ||||
\(535\) | 16.2942 | − | 4.25833i | 0.704460 | − | 0.184104i | ||||
\(536\) | 10.2364 | + | 0.170635i | 0.442147 | + | 0.00737032i | ||||
\(537\) | −5.00923 | + | 5.00923i | −0.216164 | + | 0.216164i | ||||
\(538\) | −10.4082 | + | 2.72699i | −0.448731 | + | 0.117569i | ||||
\(539\) | − | 38.2264i | − | 1.64653i | ||||||
\(540\) | −4.31339 | + | 4.16677i | −0.185619 | + | 0.179309i | ||||
\(541\) | − | 9.57872i | − | 0.411821i | −0.978571 | − | 0.205911i | \(-0.933984\pi\) | ||
0.978571 | − | 0.205911i | \(-0.0660156\pi\) | |||||||
\(542\) | 7.62859 | + | 29.1164i | 0.327676 | + | 1.25066i | ||||
\(543\) | 30.7473 | − | 30.7473i | 1.31949 | − | 1.31949i | ||||
\(544\) | 37.5624 | − | 20.3170i | 1.61048 | − | 0.871084i | ||||
\(545\) | −5.13278 | + | 8.76478i | −0.219864 | + | 0.375442i | ||||
\(546\) | −2.87764 | + | 0.907243i | −0.123152 | + | 0.0388264i | ||||
\(547\) | −13.2510 | − | 13.2510i | −0.566571 | − | 0.566571i | 0.364595 | − | 0.931166i | \(-0.381207\pi\) |
−0.931166 | + | 0.364595i | \(0.881207\pi\) | |||||||
\(548\) | 22.7775 | + | 6.37531i | 0.973007 | + | 0.272340i | ||||
\(549\) | 12.9767i | 0.553832i | ||||||||
\(550\) | 28.0038 | − | 27.0183i | 1.19409 | − | 1.15207i | ||||
\(551\) | −11.2847 | −0.480745 | ||||||||
\(552\) | 28.6612 | − | 27.7213i | 1.21990 | − | 1.17990i | ||||
\(553\) | −1.06034 | + | 1.06034i | −0.0450903 | + | 0.0450903i | ||||
\(554\) | −4.43860 | − | 2.59561i | −0.188578 | − | 0.110277i | ||||
\(555\) | 7.42256 | − | 12.6748i | 0.315070 | − | 0.538016i | ||||
\(556\) | 15.1411 | − | 8.51882i | 0.642126 | − | 0.361278i | ||||
\(557\) | 18.1693 | + | 18.1693i | 0.769857 | + | 0.769857i | 0.978081 | − | 0.208224i | \(-0.0667683\pi\) |
−0.208224 | + | 0.978081i | \(0.566768\pi\) | |||||||
\(558\) | −23.3526 | + | 6.11846i | −0.988595 | + | 0.259015i | ||||
\(559\) | −8.18684 | + | 9.03421i | −0.346267 | + | 0.382106i | ||||
\(560\) | −1.98533 | − | 0.592880i | −0.0838955 | − | 0.0250537i | ||||
\(561\) | 106.121i | 4.48042i | ||||||||
\(562\) | −29.4589 | + | 7.71832i | −1.24265 | + | 0.325578i | ||||
\(563\) | −3.38749 | + | 3.38749i | −0.142766 | + | 0.142766i | −0.774877 | − | 0.632112i | \(-0.782188\pi\) |
0.632112 | + | 0.774877i | \(0.282188\pi\) | |||||||
\(564\) | 10.4288 | + | 18.5359i | 0.439133 | + | 0.780504i | ||||
\(565\) | −16.4625 | + | 4.30230i | −0.692581 | + | 0.180999i | ||||
\(566\) | −25.7282 | − | 15.0454i | −1.08144 | − | 0.632405i | ||||
\(567\) | 1.17110 | − | 1.17110i | 0.0491816 | − | 0.0491816i | ||||
\(568\) | 1.66160 | + | 1.71793i | 0.0697191 | + | 0.0720828i | ||||
\(569\) | − | 8.75169i | − | 0.366890i | −0.983030 | − | 0.183445i | \(-0.941275\pi\) | ||
0.983030 | − | 0.183445i | \(-0.0587249\pi\) | |||||||
\(570\) | −15.6447 | − | 27.8468i | −0.655282 | − | 1.16637i | ||||
\(571\) | 12.1139i | 0.506950i | 0.967342 | + | 0.253475i | \(0.0815736\pi\) | ||||
−0.967342 | + | 0.253475i | \(0.918426\pi\) | |||||||
\(572\) | −33.5871 | + | 21.1348i | −1.40435 | + | 0.883691i | ||||
\(573\) | 19.6371 | + | 19.6371i | 0.820354 | + | 0.820354i | ||||
\(574\) | −0.177160 | + | 0.302950i | −0.00739452 | + | 0.0126449i | ||||
\(575\) | 26.5641 | + | 7.47073i | 1.10780 | + | 0.311551i | ||||
\(576\) | 28.1842 | + | 0.939889i | 1.17434 | + | 0.0391621i | ||||
\(577\) | −21.0644 | − | 21.0644i | −0.876921 | − | 0.876921i | 0.116293 | − | 0.993215i | \(-0.462899\pi\) |
−0.993215 | + | 0.116293i | \(0.962899\pi\) | |||||||
\(578\) | −54.7093 | + | 14.3340i | −2.27561 | + | 0.596216i | ||||
\(579\) | − | 5.25607i | − | 0.218435i | ||||||
\(580\) | 12.7611 | + | 0.220640i | 0.529876 | + | 0.00916156i | ||||
\(581\) | −2.77019 | −0.114927 | ||||||||
\(582\) | 8.72723 | + | 33.3096i | 0.361755 | + | 1.38073i | ||||
\(583\) | −41.3331 | − | 41.3331i | −1.71184 | − | 1.71184i | ||||
\(584\) | 15.9531 | + | 0.265929i | 0.660144 | + | 0.0110042i | ||||
\(585\) | 25.1998 | + | 13.1388i | 1.04188 | + | 0.543224i | ||||
\(586\) | 33.8211 | + | 19.7780i | 1.39714 | + | 0.817021i | ||||
\(587\) | 26.1589 | − | 26.1589i | 1.07970 | − | 1.07970i | 0.0831587 | − | 0.996536i | \(-0.473499\pi\) |
0.996536 | − | 0.0831587i | \(-0.0265009\pi\) | |||||||
\(588\) | 34.1741 | + | 9.56517i | 1.40932 | + | 0.394461i | ||||
\(589\) | − | 19.1484i | − | 0.788996i | ||||||
\(590\) | −2.90490 | + | 10.3538i | −0.119593 | + | 0.426258i | ||||
\(591\) | 23.4264 | 0.963634 | ||||||||
\(592\) | −9.99243 | + | 2.44082i | −0.410686 | + | 0.100317i | ||||
\(593\) | 13.0189 | − | 13.0189i | 0.534622 | − | 0.534622i | −0.387323 | − | 0.921944i | \(-0.626600\pi\) |
0.921944 | + | 0.387323i | \(0.126600\pi\) | |||||||
\(594\) | −5.26846 | + | 9.00927i | −0.216168 | + | 0.369655i | ||||
\(595\) | 3.37440 | + | 1.97610i | 0.138337 | + | 0.0810123i | ||||
\(596\) | −0.214502 | + | 0.120685i | −0.00878634 | + | 0.00494344i | ||||
\(597\) | −27.8331 | + | 27.8331i | −1.13913 | + | 1.13913i | ||||
\(598\) | −24.9612 | − | 12.9947i | −1.02074 | − | 0.531394i | ||||
\(599\) | −41.8791 | −1.71113 | −0.855566 | − | 0.517693i | \(-0.826791\pi\) | ||||
−0.855566 | + | 0.517693i | \(0.826791\pi\) | |||||||
\(600\) | 17.1470 | + | 31.7959i | 0.700023 | + | 1.29806i | ||||
\(601\) | 10.5248 | 0.429314 | 0.214657 | − | 0.976689i | \(-0.431137\pi\) | ||||
0.214657 | + | 0.976689i | \(0.431137\pi\) | |||||||
\(602\) | −1.07160 | + | 0.280763i | −0.0436753 | + | 0.0114431i | ||||
\(603\) | −9.02208 | − | 9.02208i | −0.367408 | − | 0.367408i | ||||
\(604\) | −17.6854 | + | 9.95033i | −0.719610 | + | 0.404873i | ||||
\(605\) | 21.7905 | − | 37.2096i | 0.885909 | − | 1.51278i | ||||
\(606\) | 14.8117 | + | 8.66161i | 0.601684 | + | 0.351854i | ||||
\(607\) | 3.02394 | + | 3.02394i | 0.122738 | + | 0.122738i | 0.765808 | − | 0.643070i | \(-0.222339\pi\) |
−0.643070 | + | 0.765808i | \(0.722339\pi\) | |||||||
\(608\) | −6.38716 | + | 21.4367i | −0.259034 | + | 0.869373i | ||||
\(609\) | 1.68875 | 0.0684317 | ||||||||
\(610\) | 11.2086 | + | 3.14474i | 0.453825 | + | 0.127327i | ||||
\(611\) | 10.0793 | − | 11.1226i | 0.407766 | − | 0.449971i | ||||
\(612\) | −51.2523 | − | 14.3452i | −2.07175 | − | 0.579872i | ||||
\(613\) | 8.41384 | − | 8.41384i | 0.339832 | − | 0.339832i | −0.516472 | − | 0.856304i | \(-0.672755\pi\) |
0.856304 | + | 0.516472i | \(0.172755\pi\) | |||||||
\(614\) | 16.3834 | + | 9.58074i | 0.661181 | + | 0.386647i | ||||
\(615\) | 5.91996 | − | 1.54712i | 0.238716 | − | 0.0623861i | ||||
\(616\) | −3.60520 | − | 0.0600965i | −0.145258 | − | 0.00242136i | ||||
\(617\) | −24.5072 | − | 24.5072i | −0.986623 | − | 0.986623i | 0.0132885 | − | 0.999912i | \(-0.495770\pi\) |
−0.999912 | + | 0.0132885i | \(0.995770\pi\) | |||||||
\(618\) | 15.2247 | − | 3.98892i | 0.612427 | − | 0.160458i | ||||
\(619\) | 33.5082i | 1.34681i | 0.739274 | + | 0.673404i | \(0.235169\pi\) | ||||
−0.739274 | + | 0.673404i | \(0.764831\pi\) | |||||||
\(620\) | −0.374391 | + | 21.6536i | −0.0150359 | + | 0.869629i | ||||
\(621\) | −7.40106 | −0.296994 | ||||||||
\(622\) | 15.1241 | − | 3.96256i | 0.606421 | − | 0.158884i | ||||
\(623\) | −1.37023 | + | 1.37023i | −0.0548970 | + | 0.0548970i | ||||
\(624\) | −10.4901 | − | 35.3151i | −0.419939 | − | 1.41374i | ||||
\(625\) | −13.0310 | + | 21.3352i | −0.521241 | + | 0.853410i | ||||
\(626\) | 15.7793 | − | 26.9832i | 0.630668 | − | 1.07847i | ||||
\(627\) | −39.3038 | − | 39.3038i | −1.56964 | − | 1.56964i | ||||
\(628\) | 0.768446 | − | 2.74548i | 0.0306644 | − | 0.109557i | ||||
\(629\) | 19.4133 | 0.774059 | ||||||||
\(630\) | 1.26479 | + | 2.25127i | 0.0503905 | + | 0.0896928i | ||||
\(631\) | 46.8580 | 1.86539 | 0.932693 | − | 0.360670i | \(-0.117452\pi\) | ||||
0.932693 | + | 0.360670i | \(0.117452\pi\) | |||||||
\(632\) | −12.7289 | − | 13.1605i | −0.506330 | − | 0.523496i | ||||
\(633\) | −21.4277 | − | 21.4277i | −0.851674 | − | 0.851674i | ||||
\(634\) | −10.0990 | + | 17.2698i | −0.401084 | + | 0.685869i | ||||
\(635\) | 5.84154 | − | 1.52663i | 0.231815 | − | 0.0605825i | ||||
\(636\) | 47.2941 | − | 26.6090i | 1.87533 | − | 1.05511i | ||||
\(637\) | −1.23087 | − | 25.0151i | −0.0487690 | − | 0.991135i | ||||
\(638\) | 21.4854 | − | 5.62925i | 0.850616 | − | 0.222864i | ||||
\(639\) | − | 2.97861i | − | 0.117832i | ||||||
\(640\) | 7.64193 | − | 24.1164i | 0.302074 | − | 0.953285i | ||||
\(641\) | 13.8420 | 0.546726 | 0.273363 | − | 0.961911i | \(-0.411864\pi\) | ||||
0.273363 | + | 0.961911i | \(0.411864\pi\) | |||||||
\(642\) | 6.89587 | + | 26.3198i | 0.272158 | + | 1.03876i | ||||
\(643\) | −20.3351 | − | 20.3351i | −0.801937 | − | 0.801937i | 0.181461 | − | 0.983398i | \(-0.441917\pi\) |
−0.983398 | + | 0.181461i | \(0.941917\pi\) | |||||||
\(644\) | −1.25379 | − | 2.22846i | −0.0494063 | − | 0.0878135i | ||||
\(645\) | 16.6665 | + | 9.76014i | 0.656242 | + | 0.384305i | ||||
\(646\) | 21.3105 | − | 36.4418i | 0.838451 | − | 1.43378i | ||||
\(647\) | 0.602047 | + | 0.602047i | 0.0236689 | + | 0.0236689i | 0.718842 | − | 0.695173i | \(-0.244672\pi\) |
−0.695173 | + | 0.718842i | \(0.744672\pi\) | |||||||
\(648\) | 14.0585 | + | 14.5352i | 0.552272 | + | 0.570996i | ||||
\(649\) | 18.7137i | 0.734576i | ||||||||
\(650\) | 17.4556 | − | 18.5824i | 0.684663 | − | 0.728860i | ||||
\(651\) | 2.86555i | 0.112310i | ||||||||
\(652\) | 19.2691 | + | 5.39332i | 0.754635 | + | 0.211219i | ||||
\(653\) | 2.39210 | + | 2.39210i | 0.0936099 | + | 0.0936099i | 0.752361 | − | 0.658751i | \(-0.228915\pi\) |
−0.658751 | + | 0.752361i | \(0.728915\pi\) | |||||||
\(654\) | −14.1651 | − | 8.28347i | −0.553898 | − | 0.323909i | ||||
\(655\) | 24.9273 | + | 14.5978i | 0.973990 | + | 0.570383i | ||||
\(656\) | −3.66239 | − | 2.22443i | −0.142992 | − | 0.0868495i | ||||
\(657\) | −14.0606 | − | 14.0606i | −0.548555 | − | 0.548555i | ||||
\(658\) | 1.31932 | − | 0.345665i | 0.0514323 | − | 0.0134754i | ||||
\(659\) | 0.152371 | 0.00593552 | 0.00296776 | − | 0.999996i | \(-0.499055\pi\) | ||||
0.00296776 | + | 0.999996i | \(0.499055\pi\) | |||||||
\(660\) | 43.6775 | + | 45.2144i | 1.70014 | + | 1.75997i | ||||
\(661\) | − | 20.9602i | − | 0.815256i | −0.913148 | − | 0.407628i | \(-0.866356\pi\) | ||
0.913148 | − | 0.407628i | \(-0.133644\pi\) | |||||||
\(662\) | −4.44606 | − | 16.9695i | −0.172801 | − | 0.659538i | ||||
\(663\) | 3.41705 | + | 69.4448i | 0.132707 | + | 2.69701i | ||||
\(664\) | 0.563736 | − | 33.8186i | 0.0218772 | − | 1.31242i | ||||
\(665\) | −1.98166 | + | 0.517887i | −0.0768454 | + | 0.0200828i | ||||
\(666\) | 11.0662 | + | 6.47129i | 0.428805 | + | 0.250757i | ||||
\(667\) | 11.1373 | + | 11.1373i | 0.431237 | + | 0.431237i | ||||
\(668\) | 3.70557 | − | 13.2392i | 0.143373 | − | 0.512239i | ||||
\(669\) | 48.1727 | 1.86246 | ||||||||
\(670\) | −9.97922 | + | 5.60645i | −0.385531 | + | 0.216596i | ||||
\(671\) | 20.2588 | 0.782083 | ||||||||
\(672\) | 0.955835 | − | 3.20799i | 0.0368721 | − | 0.123751i | ||||
\(673\) | −6.41803 | − | 6.41803i | −0.247397 | − | 0.247397i | 0.572505 | − | 0.819902i | \(-0.305972\pi\) |
−0.819902 | + | 0.572505i | \(0.805972\pi\) | |||||||
\(674\) | −9.91087 | − | 5.79570i | −0.381752 | − | 0.223242i | ||||
\(675\) | 1.81529 | − | 6.45475i | 0.0698707 | − | 0.248444i | ||||
\(676\) | −21.2987 | + | 14.9120i | −0.819179 | + | 0.573538i | ||||
\(677\) | −18.3806 | + | 18.3806i | −0.706425 | + | 0.706425i | −0.965782 | − | 0.259356i | \(-0.916490\pi\) |
0.259356 | + | 0.965782i | \(0.416490\pi\) | |||||||
\(678\) | −6.96708 | − | 26.5916i | −0.267569 | − | 1.02124i | ||||
\(679\) | 2.20810 | 0.0847393 | ||||||||
\(680\) | −24.8111 | + | 40.7928i | −0.951462 | + | 1.56433i | ||||
\(681\) | − | 45.1089i | − | 1.72858i | ||||||
\(682\) | 9.55194 | + | 36.4574i | 0.365763 | + | 1.39602i | ||||
\(683\) | −15.9897 | − | 15.9897i | −0.611831 | − | 0.611831i | 0.331592 | − | 0.943423i | \(-0.392414\pi\) |
−0.943423 | + | 0.331592i | \(0.892414\pi\) | |||||||
\(684\) | 24.2953 | − | 13.6692i | 0.928952 | − | 0.522655i | ||||
\(685\) | −25.5854 | + | 6.68651i | −0.977570 | + | 0.255478i | ||||
\(686\) | 2.30640 | − | 3.94404i | 0.0880589 | − | 0.150584i | ||||
\(687\) | 40.6415 | − | 40.6415i | 1.55057 | − | 1.55057i | ||||
\(688\) | −3.20951 | − | 13.1393i | −0.122361 | − | 0.500933i | ||||
\(689\) | −28.3790 | − | 25.7172i | −1.08115 | − | 0.979748i | ||||
\(690\) | −12.0427 | + | 42.9231i | −0.458457 | + | 1.63406i | ||||
\(691\) | 5.79082 | 0.220293 | 0.110147 | − | 0.993915i | \(-0.464868\pi\) | ||||
0.110147 | + | 0.993915i | \(0.464868\pi\) | |||||||
\(692\) | 27.9748 | + | 7.83002i | 1.06344 | + | 0.297653i | ||||
\(693\) | 3.17751 | + | 3.17751i | 0.120704 | + | 0.120704i | ||||
\(694\) | −19.1556 | + | 32.7568i | −0.727136 | + | 1.24343i | ||||
\(695\) | −9.81555 | + | 16.7611i | −0.372325 | + | 0.635785i | ||||
\(696\) | −0.343663 | + | 20.6164i | −0.0130265 | + | 0.781463i | ||||
\(697\) | 5.71846 | + | 5.71846i | 0.216602 | + | 0.216602i | ||||
\(698\) | 2.31638 | + | 8.84103i | 0.0876762 | + | 0.334638i | ||||
\(699\) | 8.72693 | 0.330083 | ||||||||
\(700\) | 2.25105 | − | 0.546897i | 0.0850816 | − | 0.0206708i | ||||
\(701\) | 28.4829 | 1.07578 | 0.537892 | − | 0.843014i | \(-0.319221\pi\) | ||||
0.537892 | + | 0.843014i | \(0.319221\pi\) | |||||||
\(702\) | −3.15756 | + | 6.06526i | −0.119174 | + | 0.228918i | ||||
\(703\) | −7.19007 | + | 7.19007i | −0.271179 | + | 0.271179i | ||||
\(704\) | 1.46732 | − | 44.0003i | 0.0553019 | − | 1.65832i | ||||
\(705\) | −20.5191 | − | 12.0163i | −0.772795 | − | 0.452561i | ||||
\(706\) | −19.2145 | − | 11.2363i | −0.723149 | − | 0.422885i | ||||
\(707\) | 0.778026 | − | 0.778026i | 0.0292607 | − | 0.0292607i | ||||
\(708\) | −16.7299 | − | 4.68262i | −0.628749 | − | 0.175984i | ||||
\(709\) | 9.26359 | 0.347902 | 0.173951 | − | 0.984754i | \(-0.444347\pi\) | ||||
0.173951 | + | 0.984754i | \(0.444347\pi\) | |||||||
\(710\) | −2.57278 | − | 0.721830i | −0.0965548 | − | 0.0270898i | ||||
\(711\) | 22.8181i | 0.855747i | ||||||||
\(712\) | −16.4490 | − | 17.0067i | −0.616452 | − | 0.637352i | ||||
\(713\) | −18.8982 | + | 18.8982i | −0.707742 | + | 0.707742i | ||||
\(714\) | −3.18910 | + | 5.45349i | −0.119349 | + | 0.204092i | ||||
\(715\) | 20.5119 | − | 39.3412i | 0.767102 | − | 1.47128i | ||||
\(716\) | −4.83400 | + | 2.71975i | −0.180655 | + | 0.101642i | ||||
\(717\) | −32.5630 | − | 32.5630i | −1.21609 | − | 1.21609i | ||||
\(718\) | −34.2615 | + | 8.97661i | −1.27863 | + | 0.335004i | ||||
\(719\) | −41.2932 | −1.53998 | −0.769988 | − | 0.638059i | \(-0.779738\pi\) | ||||
−0.769988 | + | 0.638059i | \(0.779738\pi\) | |||||||
\(720\) | −27.7411 | + | 14.9825i | −1.03385 | + | 0.558366i | ||||
\(721\) | − | 1.00925i | − | 0.0375864i | ||||||
\(722\) | −1.20602 | − | 4.60309i | −0.0448836 | − | 0.171309i | ||||
\(723\) | −12.4012 | − | 12.4012i | −0.461204 | − | 0.461204i | ||||
\(724\) | 29.6717 | − | 16.6941i | 1.10274 | − | 0.620433i | ||||
\(725\) | −12.4449 | + | 6.98155i | −0.462193 | + | 0.259288i | ||||
\(726\) | 60.1357 | + | 35.1663i | 2.23184 | + | 1.30514i | ||||
\(727\) | −27.2166 | − | 27.2166i | −1.00941 | − | 1.00941i | −0.999955 | − | 0.00945375i | \(-0.996991\pi\) |
−0.00945375 | − | 0.999955i | \(-0.503009\pi\) | |||||||
\(728\) | −2.36116 | + | 0.0767593i | −0.0875103 | + | 0.00284489i | ||||
\(729\) | − | 35.4782i | − | 1.31401i | ||||||
\(730\) | −15.5523 | + | 8.73744i | −0.575615 | + | 0.323387i | ||||
\(731\) | 25.5271i | 0.944154i | ||||||||
\(732\) | −5.06925 | + | 18.1113i | −0.187365 | + | 0.669411i | ||||
\(733\) | −21.4865 | + | 21.4865i | −0.793621 | + | 0.793621i | −0.982081 | − | 0.188460i | \(-0.939651\pi\) |
0.188460 | + | 0.982081i | \(0.439651\pi\) | |||||||
\(734\) | −21.1348 | + | 36.1413i | −0.780100 | + | 1.33400i | ||||
\(735\) | −38.3870 | + | 10.0321i | −1.41593 | + | 0.370039i | ||||
\(736\) | 27.4603 | − | 14.8529i | 1.01220 | − | 0.547485i | ||||
\(737\) | −14.0850 | + | 14.0850i | −0.518827 | + | 0.518827i | ||||
\(738\) | 1.35348 | + | 5.16590i | 0.0498224 | + | 0.190159i | ||||
\(739\) | 6.00692i | 0.220968i | 0.993878 | + | 0.110484i | \(0.0352401\pi\) | ||||
−0.993878 | + | 0.110484i | \(0.964760\pi\) | |||||||
\(740\) | 8.27133 | − | 7.99017i | 0.304060 | − | 0.293725i | ||||
\(741\) | −26.9857 | − | 24.4546i | −0.991346 | − | 0.898363i | ||||
\(742\) | −0.881958 | − | 3.36621i | −0.0323777 | − | 0.123577i | ||||
\(743\) | −34.5313 | − | 34.5313i | −1.26683 | − | 1.26683i | −0.947717 | − | 0.319112i | \(-0.896615\pi\) |
−0.319112 | − | 0.947717i | \(-0.603385\pi\) | |||||||
\(744\) | −34.9828 | − | 0.583142i | −1.28253 | − | 0.0213790i | ||||
\(745\) | 0.139055 | − | 0.237452i | 0.00509460 | − | 0.00869957i | ||||
\(746\) | −6.10028 | + | 10.4317i | −0.223347 | + | 0.381932i | ||||
\(747\) | −29.8067 | + | 29.8067i | −1.09057 | + | 1.09057i | ||||
\(748\) | −22.3953 | + | 80.0134i | −0.818855 | + | 2.92558i | ||||
\(749\) | 1.74475 | 0.0637516 | ||||||||
\(750\) | −34.4812 | − | 21.0309i | −1.25907 | − | 0.767938i | ||||
\(751\) | 21.7044i | 0.792004i | 0.918250 | + | 0.396002i | \(0.129603\pi\) | ||||
−0.918250 | + | 0.396002i | \(0.870397\pi\) | |||||||
\(752\) | 3.95142 | + | 16.1767i | 0.144094 | + | 0.589902i | ||||
\(753\) | −53.3961 | − | 53.3961i | −1.94586 | − | 1.94586i | ||||
\(754\) | 13.8787 | − | 4.37557i | 0.505431 | − | 0.159349i | ||||
\(755\) | 11.4650 | − | 19.5777i | 0.417253 | − | 0.712504i | ||||
\(756\) | −0.541487 | + | 0.304656i | −0.0196937 | + | 0.0110802i | ||||
\(757\) | 17.2030 | − | 17.2030i | 0.625255 | − | 0.625255i | −0.321615 | − | 0.946870i | \(-0.604226\pi\) |
0.946870 | + | 0.321615i | \(0.104226\pi\) | |||||||
\(758\) | 10.7661 | − | 2.82075i | 0.391042 | − | 0.102454i | ||||
\(759\) | 77.5804i | 2.81599i | ||||||||
\(760\) | −5.91913 | − | 24.2976i | −0.214710 | − | 0.881367i | ||||
\(761\) | 28.0417i | 1.01651i | 0.861206 | + | 0.508256i | \(0.169709\pi\) | ||||
−0.861206 | + | 0.508256i | \(0.830291\pi\) | |||||||
\(762\) | 2.47220 | + | 9.43576i | 0.0895583 | + | 0.341822i | ||||
\(763\) | −0.744059 | + | 0.744059i | −0.0269368 | + | 0.0269368i | ||||
\(764\) | 10.6619 | + | 18.9502i | 0.385736 | + | 0.685596i | ||||
\(765\) | 57.5705 | − | 15.0455i | 2.08146 | − | 0.543970i | ||||
\(766\) | 14.3291 | − | 24.5033i | 0.517730 | − | 0.885339i | ||||
\(767\) | 0.602573 | + | 12.2461i | 0.0217577 | + | 0.442182i | ||||
\(768\) | 38.9689 | + | 12.3217i | 1.40617 | + | 0.444622i | ||||
\(769\) | 11.2528 | 0.405786 | 0.202893 | − | 0.979201i | \(-0.434966\pi\) | ||||
0.202893 | + | 0.979201i | \(0.434966\pi\) | |||||||
\(770\) | 3.51461 | − | 1.97455i | 0.126658 | − | 0.0711579i | ||||
\(771\) | − | 63.1067i | − | 2.27273i | ||||||
\(772\) | 1.10922 | − | 3.96299i | 0.0399217 | − | 0.142631i | ||||
\(773\) | −16.3681 | + | 16.3681i | −0.588719 | + | 0.588719i | −0.937285 | − | 0.348565i | \(-0.886669\pi\) |
0.348565 | + | 0.937285i | \(0.386669\pi\) | |||||||
\(774\) | −8.50929 | + | 14.5512i | −0.305860 | + | 0.523033i | ||||
\(775\) | −11.8466 | − | 21.1171i | −0.425542 | − | 0.758548i | ||||
\(776\) | −0.449352 | + | 26.9567i | −0.0161308 | + | 0.967689i | ||||
\(777\) | 1.07599 | − | 1.07599i | 0.0386009 | − | 0.0386009i | ||||
\(778\) | 9.38609 | − | 2.45918i | 0.336508 | − | 0.0881660i | ||||
\(779\) | −4.23587 | −0.151766 | ||||||||
\(780\) | 30.0382 | + | 28.1816i | 1.07554 | + | 1.00906i | ||||
\(781\) | −4.65012 | −0.166394 | ||||||||
\(782\) | −56.9976 | + | 14.9336i | −2.03823 | + | 0.534023i | ||||
\(783\) | 2.70622 | − | 2.70622i | 0.0967122 | − | 0.0967122i | ||||
\(784\) | 23.7482 | + | 14.4240i | 0.848148 | + | 0.515142i | ||||
\(785\) | 0.805956 | + | 3.08394i | 0.0287658 | + | 0.110070i | ||||
\(786\) | −23.5584 | + | 40.2859i | −0.840302 | + | 1.43695i | ||||
\(787\) | 5.28878 | − | 5.28878i | 0.188525 | − | 0.188525i | −0.606533 | − | 0.795058i | \(-0.707440\pi\) |
0.795058 | + | 0.606533i | \(0.207440\pi\) | |||||||
\(788\) | 17.6631 | + | 4.94382i | 0.629223 | + | 0.176116i | ||||
\(789\) | 43.2962i | 1.54139i | ||||||||
\(790\) | 19.7092 | + | 5.52970i | 0.701222 | + | 0.196738i | ||||
\(791\) | −1.76276 | −0.0626766 | ||||||||
\(792\) | −39.4379 | + | 38.1447i | −1.40137 | + | 1.35541i | ||||
\(793\) | 13.2572 | − | 0.652326i | 0.470779 | − | 0.0231648i | ||||
\(794\) | 19.9539 | − | 34.1219i | 0.708136 | − | 1.21094i | ||||
\(795\) | −30.6594 | + | 52.3542i | −1.08738 | + | 1.85681i | ||||
\(796\) | −26.8595 | + | 15.1119i | −0.952008 | + | 0.535627i | ||||
\(797\) | 26.0365 | − | 26.0365i | 0.922259 | − | 0.922259i | −0.0749300 | − | 0.997189i | \(-0.523873\pi\) |
0.997189 | + | 0.0749300i | \(0.0238733\pi\) | |||||||
\(798\) | −0.838658 | − | 3.20095i | −0.0296882 | − | 0.113312i | ||||
\(799\) | − | 31.4280i | − | 1.11184i | ||||||
\(800\) | 6.21847 | + | 27.5922i | 0.219856 | + | 0.975532i | ||||
\(801\) | 29.4868i | 1.04186i | ||||||||
\(802\) | 5.50902 | − | 1.44338i | 0.194530 | − | 0.0509675i | ||||
\(803\) | −21.9509 | + | 21.9509i | −0.774631 | + | 0.774631i | ||||
\(804\) | −9.06748 | − | 16.1163i | −0.319785 | − | 0.568378i | ||||
\(805\) | 2.46688 | + | 1.44464i | 0.0869462 | + | 0.0509170i | ||||
\(806\) | 7.42465 | + | 23.5499i | 0.261522 | + | 0.829510i | ||||
\(807\) | 13.7421 | + | 13.7421i | 0.483746 | + | 0.483746i | ||||
\(808\) | 9.33986 | + | 9.65652i | 0.328575 | + | 0.339715i | ||||
\(809\) | − | 23.8154i | − | 0.837303i | −0.908147 | − | 0.418652i | \(-0.862503\pi\) | ||
0.908147 | − | 0.418652i | \(-0.137497\pi\) | |||||||
\(810\) | −21.7679 | − | 6.10730i | −0.764848 | − | 0.214589i | ||||
\(811\) | −30.0828 | −1.05635 | −0.528176 | − | 0.849135i | \(-0.677124\pi\) | ||||
−0.528176 | + | 0.849135i | \(0.677124\pi\) | |||||||
\(812\) | 1.27329 | + | 0.356388i | 0.0446838 | + | 0.0125068i | ||||
\(813\) | 38.4427 | − | 38.4427i | 1.34825 | − | 1.34825i | ||||
\(814\) | 10.1028 | − | 17.2761i | 0.354102 | − | 0.605528i | ||||
\(815\) | −21.6445 | + | 5.65658i | −0.758174 | + | 0.198141i | ||||
\(816\) | −65.9276 | − | 40.0426i | −2.30793 | − | 1.40177i | ||||
\(817\) | −9.45444 | − | 9.45444i | −0.330769 | − | 0.330769i | ||||
\(818\) | 6.34967 | + | 24.2351i | 0.222011 | + | 0.847360i | ||||
\(819\) | 2.18166 | + | 1.97703i | 0.0762334 | + | 0.0690831i | ||||
\(820\) | 4.79005 | + | 0.0828201i | 0.167276 | + | 0.00289220i | ||||
\(821\) | − | 2.94162i | − | 0.102663i | −0.998682 | − | 0.0513316i | \(-0.983653\pi\) | ||
0.998682 | − | 0.0513316i | \(-0.0163465\pi\) | |||||||
\(822\) | −10.8280 | − | 41.3278i | −0.377670 | − | 1.44147i | ||||
\(823\) | 1.41844 | − | 1.41844i | 0.0494436 | − | 0.0494436i | −0.681953 | − | 0.731396i | \(-0.738869\pi\) |
0.731396 | + | 0.681953i | \(0.238869\pi\) | |||||||
\(824\) | 12.3210 | + | 0.205383i | 0.429222 | + | 0.00715487i | ||||
\(825\) | −67.6609 | − | 19.0285i | −2.35565 | − | 0.662488i | ||||
\(826\) | −0.562377 | + | 0.961686i | −0.0195676 | + | 0.0334613i | ||||
\(827\) | −8.01605 | + | 8.01605i | −0.278745 | + | 0.278745i | −0.832608 | − | 0.553863i | \(-0.813153\pi\) |
0.553863 | + | 0.832608i | \(0.313153\pi\) | |||||||
\(828\) | −37.4684 | − | 10.4872i | −1.30212 | − | 0.364456i | ||||
\(829\) | 23.0413i | 0.800256i | 0.916459 | + | 0.400128i | \(0.131034\pi\) | ||||
−0.916459 | + | 0.400128i | \(0.868966\pi\) | |||||||
\(830\) | 18.5223 | + | 32.9689i | 0.642918 | + | 1.14437i | ||||
\(831\) | 9.28736i | 0.322175i | ||||||||
\(832\) | −0.456585 | − | 28.8408i | −0.0158292 | − | 0.999875i | ||||
\(833\) | −37.0804 | − | 37.0804i | −1.28476 | − | 1.28476i | ||||
\(834\) | −27.0882 | − | 15.8407i | −0.937988 | − | 0.548518i | ||||
\(835\) | 3.88645 | + | 14.8712i | 0.134496 | + | 0.514641i | ||||
\(836\) | −21.3399 | − | 37.9290i | −0.738056 | − | 1.31180i | ||||
\(837\) | 4.59202 | + | 4.59202i | 0.158723 | + | 0.158723i | ||||
\(838\) | −3.72508 | − | 14.2177i | −0.128681 | − | 0.491142i | ||||
\(839\) | 26.0910i | 0.900763i | 0.892836 | + | 0.450381i | \(0.148712\pi\) | ||||
−0.892836 | + | 0.450381i | \(0.851288\pi\) | |||||||
\(840\) | 0.885795 | + | 3.63612i | 0.0305628 | + | 0.125458i | ||||
\(841\) | 20.8553 | 0.719147 | ||||||||
\(842\) | 28.8272 | − | 7.55280i | 0.993449 | − | 0.260287i | ||||
\(843\) | 38.8949 | + | 38.8949i | 1.33961 | + | 1.33961i | ||||
\(844\) | −11.6341 | − | 20.6781i | −0.400462 | − | 0.711771i | ||||
\(845\) | 12.1561 | − | 26.4051i | 0.418183 | − | 0.908363i | ||||
\(846\) | 10.4763 | − | 17.9149i | 0.360183 | − | 0.615927i | ||||
\(847\) | 3.15880 | − | 3.15880i | 0.108538 | − | 0.108538i | ||||
\(848\) | 41.2744 | − | 10.0820i | 1.41737 | − | 0.346216i | ||||
\(849\) | 53.8339i | 1.84758i | ||||||||
\(850\) | 0.955938 | − | 53.3727i | 0.0327884 | − | 1.83067i | ||||
\(851\) | 14.1922 | 0.486504 | ||||||||
\(852\) | 1.16357 | − | 4.15718i | 0.0398633 | − | 0.142423i | ||||
\(853\) | 3.64717 | − | 3.64717i | 0.124877 | − | 0.124877i | −0.641906 | − | 0.766783i | \(-0.721856\pi\) |
0.766783 | + | 0.641906i | \(0.221856\pi\) | |||||||
\(854\) | 1.04109 | + | 0.608810i | 0.0356253 | + | 0.0208331i | ||||
\(855\) | −15.7499 | + | 26.8947i | −0.538636 | + | 0.919778i | ||||
\(856\) | −0.355058 | + | 21.3000i | −0.0121356 | + | 0.728018i | ||||
\(857\) | 35.3425 | − | 35.3425i | 1.20728 | − | 1.20728i | 0.235369 | − | 0.971906i | \(-0.424370\pi\) |
0.971906 | − | 0.235369i | \(-0.0756300\pi\) | |||||||
\(858\) | 63.5781 | + | 33.0986i | 2.17052 | + | 1.12997i | ||||
\(859\) | −30.2247 | −1.03125 | −0.515626 | − | 0.856814i | \(-0.672441\pi\) | ||||
−0.515626 | + | 0.856814i | \(0.672441\pi\) | |||||||
\(860\) | 10.5065 | + | 10.8762i | 0.358269 | + | 0.370876i | ||||
\(861\) | 0.633896 | 0.0216031 | ||||||||
\(862\) | 3.21083 | + | 12.2549i | 0.109361 | + | 0.417405i | ||||
\(863\) | 15.8426 | + | 15.8426i | 0.539287 | + | 0.539287i | 0.923320 | − | 0.384032i | \(-0.125465\pi\) |
−0.384032 | + | 0.923320i | \(0.625465\pi\) | |||||||
\(864\) | −3.60907 | − | 6.67251i | −0.122783 | − | 0.227003i | ||||
\(865\) | −31.4235 | + | 8.21222i | −1.06843 | + | 0.279224i | ||||
\(866\) | −7.95626 | + | 13.6055i | −0.270365 | + | 0.462334i | ||||
\(867\) | 72.2334 | + | 72.2334i | 2.45318 | + | 2.45318i | ||||
\(868\) | −0.604734 | + | 2.16058i | −0.0205260 | + | 0.0733347i | ||||
\(869\) | 35.6230 | 1.20843 | ||||||||
\(870\) | −11.2915 | − | 20.0984i | −0.382818 | − | 0.681399i | ||||
\(871\) | −8.76360 | + | 9.67066i | −0.296943 | + | 0.327678i | ||||
\(872\) | −8.93211 | − | 9.23495i | −0.302479 | − | 0.312735i | ||||
\(873\) | 23.7588 | − | 23.7588i | 0.804113 | − | 0.804113i | ||||
\(874\) | 15.5792 | − | 26.6410i | 0.526975 | − | 0.901147i | ||||
\(875\) | −1.86499 | + | 1.79713i | −0.0630483 | + | 0.0607541i | ||||
\(876\) | −14.1313 | − | 25.1166i | −0.477454 | − | 0.848613i | ||||
\(877\) | 23.2929 | + | 23.2929i | 0.786544 | + | 0.786544i | 0.980926 | − | 0.194382i | \(-0.0622700\pi\) |
−0.194382 | + | 0.980926i | \(0.562270\pi\) | |||||||
\(878\) | −2.41172 | − | 9.20495i | −0.0813918 | − | 0.310652i | ||||
\(879\) | − | 70.7675i | − | 2.38693i | ||||||
\(880\) | 23.3902 | + | 43.3085i | 0.788484 | + | 1.45993i | ||||
\(881\) | 11.2014 | 0.377383 | 0.188692 | − | 0.982036i | \(-0.439575\pi\) | ||||
0.188692 | + | 0.982036i | \(0.439575\pi\) | |||||||
\(882\) | −8.77643 | − | 33.4974i | −0.295518 | − | 1.12792i | ||||
\(883\) | −1.25527 | + | 1.25527i | −0.0422433 | + | 0.0422433i | −0.727913 | − | 0.685670i | \(-0.759509\pi\) |
0.685670 | + | 0.727913i | \(0.259509\pi\) | |||||||
\(884\) | −12.0790 | + | 53.0814i | −0.406260 | + | 1.78532i | ||||
\(885\) | 18.7923 | − | 4.91119i | 0.631697 | − | 0.165088i | ||||
\(886\) | −34.5015 | − | 20.1759i | −1.15910 | − | 0.677822i | ||||
\(887\) | 33.8555 | + | 33.8555i | 1.13676 | + | 1.13676i | 0.989028 | + | 0.147730i | \(0.0471967\pi\) |
0.147730 | + | 0.989028i | \(0.452803\pi\) | |||||||
\(888\) | 12.9168 | + | 13.3547i | 0.433459 | + | 0.448155i | ||||
\(889\) | 0.625499 | 0.0209786 | ||||||||
\(890\) | 25.4692 | + | 7.14576i | 0.853731 | + | 0.239526i | ||||
\(891\) | −39.3440 | −1.31807 | ||||||||
\(892\) | 36.3214 | + | 10.1662i | 1.21613 | + | 0.340389i | ||||
\(893\) | 11.6399 | + | 11.6399i | 0.389516 | + | 0.389516i | ||||
\(894\) | 0.383754 | + | 0.224413i | 0.0128347 | + | 0.00750548i | ||||
\(895\) | 3.13375 | − | 5.35120i | 0.104750 | − | 0.178871i | ||||
\(896\) | 1.39769 | − | 2.21706i | 0.0466934 | − | 0.0740667i | ||||
\(897\) | 2.49806 | + | 50.7682i | 0.0834078 | + | 1.69510i | ||||
\(898\) | −9.39688 | − | 35.8655i | −0.313578 | − | 1.19685i | ||||
\(899\) | − | 13.8203i | − | 0.460934i | ||||||
\(900\) | 18.3363 | − | 30.1054i | 0.611211 | − | 1.00351i | ||||
\(901\) | −80.1879 | −2.67145 | ||||||||
\(902\) | 8.06484 | − | 2.11301i | 0.268530 | − | 0.0703556i | ||||
\(903\) | 1.41485 | + | 1.41485i | 0.0470833 | + | 0.0470833i | ||||
\(904\) | 0.358724 | − | 21.5199i | 0.0119310 | − | 0.715742i | ||||
\(905\) | −19.2353 | + | 32.8464i | −0.639404 | + | 1.09185i | ||||
\(906\) | 31.6401 | + | 18.5026i | 1.05117 | + | 0.614707i | ||||
\(907\) | −0.931097 | − | 0.931097i | −0.0309166 | − | 0.0309166i | 0.691480 | − | 0.722396i | \(-0.256959\pi\) |
−0.722396 | + | 0.691480i | \(0.756959\pi\) | |||||||
\(908\) | 9.51961 | − | 34.0114i | 0.315919 | − | 1.12871i | ||||
\(909\) | − | 16.7428i | − | 0.555325i | ||||||
\(910\) | 2.23636 | − | 1.40530i | 0.0741347 | − | 0.0465854i | ||||
\(911\) | 42.6566i | 1.41328i | 0.707575 | + | 0.706638i | \(0.249789\pi\) | ||||
−0.707575 | + | 0.706638i | \(0.750211\pi\) | |||||||
\(912\) | 39.2480 | − | 9.58700i | 1.29963 | − | 0.317457i | ||||
\(913\) | 46.5332 | + | 46.5332i | 1.54003 | + | 1.54003i | ||||
\(914\) | −24.5131 | + | 41.9183i | −0.810820 | + | 1.38653i | ||||
\(915\) | −5.31669 | − | 20.3439i | −0.175764 | − | 0.672550i | ||||
\(916\) | 39.2199 | − | 22.0662i | 1.29586 | − | 0.729088i | ||||
\(917\) | 2.11613 | + | 2.11613i | 0.0698807 | + | 0.0698807i | ||||
\(918\) | 3.62867 | + | 13.8497i | 0.119764 | + | 0.457108i | ||||
\(919\) | 11.0769 | 0.365392 | 0.182696 | − | 0.983169i | \(-0.441518\pi\) | ||||
0.182696 | + | 0.983169i | \(0.441518\pi\) | |||||||
\(920\) | −18.1383 | + | 29.8219i | −0.598003 | + | 0.983199i | ||||
\(921\) | − | 34.2808i | − | 1.12959i | ||||||
\(922\) | 26.0667 | − | 6.82956i | 0.858461 | − | 0.224919i | ||||
\(923\) | −3.04301 | + | 0.149732i | −0.100162 | + | 0.00492849i | ||||
\(924\) | 3.19350 | + | 5.67605i | 0.105059 | + | 0.186728i | ||||
\(925\) | −3.48100 | + | 12.3776i | −0.114454 | + | 0.406973i | ||||
\(926\) | 25.8348 | − | 44.1786i | 0.848985 | − | 1.45180i | ||||
\(927\) | −10.8593 | − | 10.8593i | −0.356667 | − | 0.356667i | ||||
\(928\) | −4.60993 | + | 15.4719i | −0.151328 | + | 0.507890i | ||||
\(929\) | 60.4609 | 1.98366 | 0.991828 | − | 0.127580i | \(-0.0407209\pi\) | ||||
0.991828 | + | 0.127580i | \(0.0407209\pi\) | |||||||
\(930\) | 34.1038 | − | 19.1599i | 1.11831 | − | 0.628278i | ||||
\(931\) | 27.4668 | 0.900189 | ||||||||
\(932\) | 6.57997 | + | 1.84170i | 0.215534 | + | 0.0603269i | ||||
\(933\) | −19.9685 | − | 19.9685i | −0.653740 | − | 0.653740i | ||||
\(934\) | 15.9330 | − | 27.2461i | 0.521344 | − | 0.891518i | ||||
\(935\) | −23.4885 | − | 89.8772i | −0.768157 | − | 2.93930i | ||||
\(936\) | −24.5797 | + | 26.2315i | −0.803413 | + | 0.857405i | ||||
\(937\) | 26.5016 | − | 26.5016i | 0.865769 | − | 0.865769i | −0.126232 | − | 0.992001i | \(-0.540288\pi\) |
0.992001 | + | 0.126232i | \(0.0402882\pi\) | |||||||
\(938\) | −1.14710 | + | 0.300543i | −0.0374540 | + | 0.00981307i | ||||
\(939\) | −56.4599 | −1.84250 | ||||||||
\(940\) | −12.9352 | − | 13.3904i | −0.421900 | − | 0.436746i | ||||
\(941\) | − | 47.4704i | − | 1.54749i | −0.633497 | − | 0.773745i | \(-0.718381\pi\) | ||
0.633497 | − | 0.773745i | \(-0.281619\pi\) | |||||||
\(942\) | −4.98144 | + | 1.30515i | −0.162304 | + | 0.0425242i | ||||
\(943\) | 4.18052 | + | 4.18052i | 0.136137 | + | 0.136137i | ||||
\(944\) | −11.6259 | − | 7.06124i | −0.378390 | − | 0.229824i | ||||
\(945\) | 0.351030 | − | 0.599422i | 0.0114190 | − | 0.0194992i | ||||
\(946\) | 22.7169 | + | 13.2844i | 0.738590 | + | 0.431914i | ||||
\(947\) | 13.2944 | − | 13.2944i | 0.432011 | − | 0.432011i | −0.457301 | − | 0.889312i | \(-0.651184\pi\) |
0.889312 | + | 0.457301i | \(0.151184\pi\) | |||||||
\(948\) | −8.91373 | + | 31.8467i | −0.289505 | + | 1.03433i | ||||
\(949\) | −13.6577 | + | 15.0714i | −0.443349 | + | 0.489237i | ||||
\(950\) | 19.4135 | + | 20.1216i | 0.629857 | + | 0.652831i | ||||
\(951\) | 36.1354 | 1.17177 | ||||||||
\(952\) | −3.55542 | + | 3.43883i | −0.115232 | + | 0.111453i | ||||
\(953\) | 9.18026 | + | 9.18026i | 0.297378 | + | 0.297378i | 0.839986 | − | 0.542608i | \(-0.182563\pi\) |
−0.542608 | + | 0.839986i | \(0.682563\pi\) | |||||||
\(954\) | −45.7095 | − | 26.7301i | −1.47990 | − | 0.865419i | ||||
\(955\) | −20.9778 | − | 12.2849i | −0.678825 | − | 0.397530i | ||||
\(956\) | −17.6800 | − | 31.4239i | −0.571812 | − | 1.01632i | ||||
\(957\) | −28.3675 | − | 28.3675i | −0.916990 | − | 0.916990i | ||||
\(958\) | −35.0786 | + | 9.19069i | −1.13334 | + | 0.296938i | ||||
\(959\) | −2.73963 | −0.0884673 | ||||||||
\(960\) | −44.5703 | + | 10.0739i | −1.43850 | + | 0.325133i | ||||
\(961\) | −7.54909 | −0.243519 | ||||||||
\(962\) | 6.05491 | − | 11.6307i | 0.195218 | − | 0.374989i | ||||
\(963\) | 18.7731 | − | 18.7731i | 0.604956 | − | 0.604956i | ||||
\(964\) | −6.73318 | − | 11.9674i | −0.216861 | − | 0.385443i | ||||
\(965\) | 1.16337 | + | 4.45154i | 0.0374501 | + | 0.143300i | ||||
\(966\) | −2.33142 | + | 3.98682i | −0.0750122 | + | 0.128274i | ||||
\(967\) | −34.8396 | + | 34.8396i | −1.12037 | + | 1.12037i | −0.128679 | + | 0.991686i | \(0.541074\pi\) |
−0.991686 | + | 0.128679i | \(0.958926\pi\) | |||||||
\(968\) | 37.9200 | + | 39.2056i | 1.21879 | + | 1.26012i | ||||
\(969\) | −76.2511 | −2.44954 | ||||||||
\(970\) | −14.7640 | − | 26.2793i | −0.474045 | − | 0.843779i | ||||
\(971\) | − | 53.1110i | − | 1.70441i | −0.523206 | − | 0.852206i | \(-0.675264\pi\) | ||
0.523206 | − | 0.852206i | \(-0.324736\pi\) | |||||||
\(972\) | 12.0136 | − | 42.9217i | 0.385335 | − | 1.37671i | ||||
\(973\) | −1.42288 | + | 1.42288i | −0.0456156 | + | 0.0456156i | ||||
\(974\) | 50.8114 | + | 29.7136i | 1.62810 | + | 0.952086i | ||||
\(975\) | −44.8896 | − | 10.2735i | −1.43762 | − | 0.329015i | ||||
\(976\) | −7.64426 | + | 12.5858i | −0.244687 | + | 0.402862i | ||||
\(977\) | 42.6478 | + | 42.6478i | 1.36442 | + | 1.36442i | 0.868187 | + | 0.496238i | \(0.165286\pi\) |
0.496238 | + | 0.868187i | \(0.334714\pi\) | |||||||
\(978\) | −9.16017 | − | 34.9621i | −0.292910 | − | 1.11796i | ||||
\(979\) | 46.0338 | 1.47125 | ||||||||
\(980\) | −31.0603 | − | 0.537033i | −0.992186 | − | 0.0171549i | ||||
\(981\) | 16.0119i | 0.511220i | ||||||||
\(982\) | 1.13194 | − | 0.296572i | 0.0361216 | − | 0.00946398i | ||||
\(983\) | −20.3093 | − | 20.3093i | −0.647767 | − | 0.647767i | 0.304686 | − | 0.952453i | \(-0.401449\pi\) |
−0.952453 | + | 0.304686i | \(0.901449\pi\) | |||||||
\(984\) | −0.128998 | + | 7.73864i | −0.00411232 | + | 0.246699i | ||||
\(985\) | −19.8406 | + | 5.18514i | −0.632174 | + | 0.165212i | ||||
\(986\) | 15.3808 | − | 26.3018i | 0.489825 | − | 0.837620i | ||||
\(987\) | −1.74191 | − | 1.74191i | −0.0554456 | − | 0.0554456i | ||||
\(988\) | −15.1860 | − | 24.1334i | −0.483131 | − | 0.767784i | ||||
\(989\) | 18.6618i | 0.593410i | ||||||||
\(990\) | 16.5708 | − | 59.0624i | 0.526654 | − | 1.87713i | ||||
\(991\) | 10.5853i | 0.336254i | 0.985765 | + | 0.168127i | \(0.0537718\pi\) | ||||
−0.985765 | + | 0.168127i | \(0.946228\pi\) | |||||||
\(992\) | −26.2534 | − | 7.82232i | −0.833546 | − | 0.248359i | ||||
\(993\) | −22.4050 | + | 22.4050i | −0.711002 | + | 0.711002i | ||||
\(994\) | −0.238967 | − | 0.139744i | −0.00757957 | − | 0.00443240i | ||||
\(995\) | 17.4122 | − | 29.7332i | 0.552004 | − | 0.942606i | ||||
\(996\) | −53.2442 | + | 29.9567i | −1.68711 | + | 0.949214i | ||||
\(997\) | −38.2677 | + | 38.2677i | −1.21195 | + | 1.21195i | −0.241566 | + | 0.970384i | \(0.577661\pi\) |
−0.970384 | + | 0.241566i | \(0.922339\pi\) | |||||||
\(998\) | −4.73614 | + | 1.24088i | −0.149920 | + | 0.0392795i | ||||
\(999\) | − | 3.44854i | − | 0.109107i |
(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 | 260.2.p.d.103.15 | yes | 64 | |
4.3 | odd | 2 | inner | 260.2.p.d.103.2 | ✓ | 64 | |
5.2 | odd | 4 | inner | 260.2.p.d.207.31 | yes | 64 | |
13.12 | even | 2 | inner | 260.2.p.d.103.18 | yes | 64 | |
20.7 | even | 4 | inner | 260.2.p.d.207.18 | yes | 64 | |
52.51 | odd | 2 | inner | 260.2.p.d.103.31 | yes | 64 | |
65.12 | odd | 4 | inner | 260.2.p.d.207.2 | yes | 64 | |
260.207 | even | 4 | inner | 260.2.p.d.207.15 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.p.d.103.2 | ✓ | 64 | 4.3 | odd | 2 | inner | |
260.2.p.d.103.15 | yes | 64 | 1.1 | even | 1 | trivial | |
260.2.p.d.103.18 | yes | 64 | 13.12 | even | 2 | inner | |
260.2.p.d.103.31 | yes | 64 | 52.51 | odd | 2 | inner | |
260.2.p.d.207.2 | yes | 64 | 65.12 | odd | 4 | inner | |
260.2.p.d.207.15 | yes | 64 | 260.207 | even | 4 | inner | |
260.2.p.d.207.18 | yes | 64 | 20.7 | even | 4 | inner | |
260.2.p.d.207.31 | yes | 64 | 5.2 | odd | 4 | inner |