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 | 207.2 | ||
Character | \(\chi\) | \(=\) | 260.207 |
Dual form | 260.2.p.d.103.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36804 | + | 0.358430i | −0.967349 | + | 0.253448i | ||||
\(3\) | 1.80624 | + | 1.80624i | 1.04283 | + | 1.04283i | 0.999041 | + | 0.0437910i | \(0.0139436\pi\) |
0.0437910 | + | 0.999041i | \(0.486056\pi\) | |||||||
\(4\) | 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 | \(-0.263940\pi\) |
−0.737385 | + | 0.675473i | \(0.763940\pi\) | |||||||
\(8\) | −2.03306 | + | 1.96639i | −0.718794 | + | 0.695223i | ||||
\(9\) | 3.52499i | 1.17500i | ||||||||
\(10\) | −2.23745 | − | 2.23468i | −0.707545 | − | 0.706668i | ||||
\(11\) | 5.50310 | 1.65925 | 0.829623 | − | 0.558324i | \(-0.188555\pi\) | ||||
0.829623 | + | 0.558324i | \(0.188555\pi\) | |||||||
\(12\) | 4.91974 | + | 1.37701i | 1.42021 | + | 0.397508i | ||||
\(13\) | −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 | −0.931856 | − | 0.362829i | \(-0.881811\pi\) |
−0.362829 | − | 0.931856i | \(-0.618189\pi\) | |||||||
\(18\) | −1.26346 | − | 4.82232i | −0.297801 | − | 1.13663i | ||||
\(19\) | − | 3.95414i | − | 0.907143i | −0.891220 | − | 0.453572i | \(-0.850150\pi\) | ||
0.891220 | − | 0.453572i | \(-0.149850\pi\) | |||||||
\(20\) | 3.86190 | + | 2.25516i | 0.863547 | + | 0.504268i | ||||
\(21\) | − | 0.591735i | − | 0.129127i | ||||||
\(22\) | −7.52845 | + | 1.97248i | −1.60507 | + | 0.420533i | ||||
\(23\) | 3.90248 | + | 3.90248i | 0.813722 | + | 0.813722i | 0.985190 | − | 0.171467i | \(-0.0548508\pi\) |
−0.171467 | + | 0.985190i | \(0.554851\pi\) | |||||||
\(24\) | −7.22395 | − | 0.120419i | −1.47458 | − | 0.0245804i | ||||
\(25\) | −2.44632 | + | 4.36068i | −0.489264 | + | 0.872136i | ||||
\(26\) | 4.99008 | − | 1.04836i | 0.978636 | − | 0.205601i | ||||
\(27\) | −0.948252 | + | 0.948252i | −0.182491 | + | 0.182491i | ||||
\(28\) | −0.446159 | − | 0.124878i | −0.0843161 | − | 0.0235997i | ||||
\(29\) | 2.85390i | 0.529955i | 0.964255 | + | 0.264978i | \(0.0853646\pi\) | ||||
−0.964255 | + | 0.264978i | \(0.914635\pi\) | |||||||
\(30\) | −0.00501172 | − | 8.07774i | −0.000915010 | − | 1.47479i | ||||
\(31\) | −4.84261 | −0.869759 | −0.434880 | − | 0.900489i | \(-0.643209\pi\) | ||||
−0.434880 | + | 0.900489i | \(0.643209\pi\) | |||||||
\(32\) | −1.61531 | + | 5.42133i | −0.285549 | + | 0.958364i | ||||
\(33\) | 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 | −0.840597 | − | 0.541660i | \(-0.817796\pi\) |
0.541660 | + | 0.840597i | \(0.317796\pi\) | |||||||
\(38\) | 1.41729 | + | 5.40942i | 0.229914 | + | 0.877524i | ||||
\(39\) | −6.18455 | − | 6.82467i | −0.990321 | − | 1.09282i | ||||
\(40\) | −6.09154 | − | 1.70092i | −0.963157 | − | 0.268939i | ||||
\(41\) | 1.07125i | 0.167301i | 0.996495 | + | 0.0836505i | \(0.0266579\pi\) | ||||
−0.996495 | + | 0.0836505i | \(0.973342\pi\) | |||||||
\(42\) | 0.212096 | + | 0.809516i | 0.0327271 | + | 0.124911i | ||||
\(43\) | −2.39102 | − | 2.39102i | −0.364627 | − | 0.364627i | 0.500886 | − | 0.865513i | \(-0.333008\pi\) |
−0.865513 | + | 0.500886i | \(0.833008\pi\) | |||||||
\(44\) | 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 | \(-0.151804\pi\) |
−0.459032 | + | 0.888420i | \(0.651804\pi\) | |||||||
\(48\) | 9.92579 | − | 2.42454i | 1.43267 | − | 0.349953i | ||||
\(49\) | − | 6.94634i | − | 0.992334i | ||||||
\(50\) | 1.78366 | − | 6.84241i | 0.252248 | − | 0.967663i | ||||
\(51\) | − | 19.2838i | − | 2.70028i | ||||||
\(52\) | −6.45086 | + | 3.22280i | −0.894573 | + | 0.446922i | ||||
\(53\) | 7.51087 | − | 7.51087i | 1.03170 | − | 1.03170i | 0.0322169 | − | 0.999481i | \(-0.489743\pi\) |
0.999481 | − | 0.0322169i | \(-0.0102567\pi\) | |||||||
\(54\) | 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 | ||||
\(58\) | −1.02292 | − | 3.90424i | −0.134316 | − | 0.512652i | ||||
\(59\) | − | 3.40057i | − | 0.442717i | −0.975193 | − | 0.221358i | \(-0.928951\pi\) | ||
0.975193 | − | 0.221358i | \(-0.0710491\pi\) | |||||||
\(60\) | 2.90216 | + | 11.0489i | 0.374667 | + | 1.42640i | ||||
\(61\) | −3.68135 | −0.471348 | −0.235674 | − | 0.971832i | \(-0.575730\pi\) | ||||
−0.235674 | + | 0.971832i | \(0.575730\pi\) | |||||||
\(62\) | 6.62488 | − | 1.73574i | 0.841360 | − | 0.220439i | ||||
\(63\) | 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 | \(-0.320966\pi\) |
−0.845950 | + | 0.533262i | \(0.820966\pi\) | |||||||
\(68\) | −14.5397 | − | 4.06959i | −1.76320 | − | 0.493510i | ||||
\(69\) | 14.0976i | 1.69715i | ||||||||
\(70\) | 0.000454500 | 0.732551i | 5.43232e−5 | 0.0875565i | ||||||
\(71\) | −0.845000 | −0.100283 | −0.0501415 | − | 0.998742i | \(-0.515967\pi\) | ||||
−0.0501415 | + | 0.998742i | \(0.515967\pi\) | |||||||
\(72\) | −6.93149 | − | 7.16650i | −0.816884 | − | 0.844580i | ||||
\(73\) | 3.98883 | + | 3.98883i | 0.466857 | + | 0.466857i | 0.900895 | − | 0.434037i | \(-0.142911\pi\) |
−0.434037 | + | 0.900895i | \(0.642911\pi\) | |||||||
\(74\) | 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 | ||||
\(78\) | 10.9069 | + | 7.11968i | 1.23496 | + | 0.806145i | ||||
\(79\) | 6.47326 | 0.728298 | 0.364149 | − | 0.931341i | \(-0.381360\pi\) | ||||
0.364149 | + | 0.931341i | \(0.381360\pi\) | |||||||
\(80\) | 8.94312 | + | 0.143526i | 0.999871 | + | 0.0160467i | ||||
\(81\) | 7.14942 | 0.794381 | ||||||||
\(82\) | −0.383968 | − | 1.46551i | −0.0424022 | − | 0.161838i | ||||
\(83\) | 8.45583 | − | 8.45583i | 0.928148 | − | 0.928148i | −0.0694385 | − | 0.997586i | \(-0.522121\pi\) |
0.997586 | + | 0.0694385i | \(0.0221208\pi\) | |||||||
\(84\) | −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 | ||||
\(88\) | −11.1881 | + | 10.8212i | −1.19266 | + | 1.15355i | ||||
\(89\) | −8.36507 | −0.886696 | −0.443348 | − | 0.896350i | \(-0.646209\pi\) | ||||
−0.443348 | + | 0.896350i | \(0.646209\pi\) | |||||||
\(90\) | 7.87722 | − | 7.88700i | 0.830332 | − | 0.831363i | ||||
\(91\) | 0.560862 | + | 0.618913i | 0.0587943 | + | 0.0648797i | ||||
\(92\) | 10.6294 | + | 2.97510i | 1.10819 | + | 0.310176i | ||||
\(93\) | −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 | −0.276624 | − | 0.960978i | \(-0.589216\pi\) |
0.960978 | + | 0.276624i | \(0.0892157\pi\) | |||||||
\(98\) | 2.48978 | + | 9.50285i | 0.251505 | + | 0.959933i | ||||
\(99\) | 19.3983i | 1.94961i | ||||||||
\(100\) | 0.0124087 | + | 9.99999i | 0.00124087 | + | 0.999999i | ||||
\(101\) | 4.74976 | 0.472618 | 0.236309 | − | 0.971678i | \(-0.424062\pi\) | ||||
0.236309 | + | 0.971678i | \(0.424062\pi\) | |||||||
\(102\) | 6.91191 | + | 26.3810i | 0.684381 | + | 2.61211i | ||||
\(103\) | −3.08067 | − | 3.08067i | −0.303548 | − | 0.303548i | 0.538852 | − | 0.842400i | \(-0.318858\pi\) |
−0.842400 | + | 0.538852i | \(0.818858\pi\) | |||||||
\(104\) | 7.66987 | − | 6.72109i | 0.752093 | − | 0.659057i | ||||
\(105\) | 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 | \(-0.868610\pi\) |
0.401153 | + | 0.916011i | \(0.368610\pi\) | |||||||
\(108\) | −0.722913 | + | 2.58280i | −0.0695623 | + | 0.248530i | ||||
\(109\) | −4.54240 | −0.435083 | −0.217541 | − | 0.976051i | \(-0.569804\pi\) | ||||
−0.217541 | + | 0.976051i | \(0.569804\pi\) | |||||||
\(110\) | −12.3129 | − | 12.2977i | −1.17399 | − | 1.17254i | ||||
\(111\) | −6.56879 | −0.623482 | ||||||||
\(112\) | −0.900146 | + | 0.219876i | −0.0850558 | + | 0.0207763i | ||||
\(113\) | −5.38073 | + | 5.38073i | −0.506176 | + | 0.506176i | −0.913351 | − | 0.407174i | \(-0.866514\pi\) |
0.407174 | + | 0.913351i | \(0.366514\pi\) | |||||||
\(114\) | −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 | ||||
\(118\) | 1.21887 | + | 4.65211i | 0.112206 | + | 0.428262i | ||||
\(119\) | 1.74880i | 0.160313i | ||||||||
\(120\) | −7.93051 | − | 14.0750i | −0.723953 | − | 1.28487i | ||||
\(121\) | 19.2841 | 1.75310 | ||||||||
\(122\) | 5.03622 | − | 1.31951i | 0.455958 | − | 0.119462i | ||||
\(123\) | −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 | \(-0.788225\pi\) |
0.617303 | + | 0.786726i | \(0.288225\pi\) | |||||||
\(128\) | 2.50108 | + | 11.0338i | 0.221066 | + | 0.975259i | ||||
\(129\) | − | 8.63750i | − | 0.760489i | ||||||
\(130\) | 7.66153 | + | 8.44399i | 0.671961 | + | 0.740587i | ||||
\(131\) | 12.9187i | 1.12871i | 0.825531 | + | 0.564357i | \(0.190876\pi\) | ||||
−0.825531 | + | 0.564357i | \(0.809124\pi\) | |||||||
\(132\) | 27.0738 | + | 7.57781i | 2.35647 | + | 0.659564i | ||||
\(133\) | −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 | −0.967465 | − | 0.253003i | \(-0.918582\pi\) |
0.253003 | + | 0.967465i | \(0.418582\pi\) | |||||||
\(138\) | −5.05300 | − | 19.2860i | −0.430140 | − | 1.64174i | ||||
\(139\) | 8.68654 | 0.736782 | 0.368391 | − | 0.929671i | \(-0.379909\pi\) | ||||
0.368391 | + | 0.929671i | \(0.379909\pi\) | |||||||
\(140\) | −0.263190 | − | 1.00199i | −0.0222436 | − | 0.0846840i | ||||
\(141\) | 10.6342i | 0.895558i | ||||||||
\(142\) | 1.15599 | − | 0.302874i | 0.0970087 | − | 0.0254166i | ||||
\(143\) | −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 | ||||
\(148\) | −1.38625 | + | 4.95276i | −0.113949 | + | 0.407115i | ||||
\(149\) | 0.123061 | 0.0100815 | 0.00504077 | − | 0.999987i | \(-0.498395\pi\) | ||||
0.00504077 | + | 0.999987i | \(0.498395\pi\) | |||||||
\(150\) | 15.5807 | − | 9.13730i | 1.27216 | − | 0.746057i | ||||
\(151\) | −10.1462 | −0.825688 | −0.412844 | − | 0.910802i | \(-0.635465\pi\) | ||||
−0.412844 | + | 0.910802i | \(0.635465\pi\) | |||||||
\(152\) | 7.77538 | + | 8.03900i | 0.630667 | + | 0.652049i | ||||
\(153\) | 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 | ||||
\(156\) | −17.4729 | − | 5.83064i | −1.39895 | − | 0.466825i | ||||
\(157\) | −1.00798 | − | 1.00798i | −0.0804455 | − | 0.0804455i | 0.665739 | − | 0.746185i | \(-0.268116\pi\) |
−0.746185 | + | 0.665739i | \(0.768116\pi\) | |||||||
\(158\) | −8.85566 | + | 2.32021i | −0.704518 | + | 0.184586i | ||||
\(159\) | 27.1328 | 2.15177 | ||||||||
\(160\) | −12.2860 | + | 3.00914i | −0.971291 | + | 0.237893i | ||||
\(161\) | − | 1.27848i | − | 0.100758i | ||||||
\(162\) | −9.78068 | + | 2.56257i | −0.768443 | + | 0.201335i | ||||
\(163\) | 7.07447 | − | 7.07447i | 0.554115 | − | 0.554115i | −0.373511 | − | 0.927626i | \(-0.621846\pi\) |
0.927626 | + | 0.373511i | \(0.121846\pi\) | |||||||
\(164\) | 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 | \(-0.164310\pi\) |
−0.493575 | + | 0.869703i | \(0.664310\pi\) | |||||||
\(168\) | 1.16358 | + | 1.20303i | 0.0897723 | + | 0.0928159i | ||||
\(169\) | 12.9372 | + | 1.27625i | 0.995169 | + | 0.0981728i | ||||
\(170\) | 0.0148115 | + | 23.8728i | 0.00113599 | + | 1.83096i | ||||
\(171\) | 13.9383 | 1.06589 | ||||||||
\(172\) | −6.51253 | − | 1.82283i | −0.496576 | − | 0.138989i | ||||
\(173\) | −10.2707 | + | 10.2707i | −0.780868 | + | 0.780868i | −0.979977 | − | 0.199109i | \(-0.936195\pi\) |
0.199109 | + | 0.979977i | \(0.436195\pi\) | |||||||
\(174\) | 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 | ||||
\(178\) | 11.4437 | − | 2.99830i | 0.857744 | − | 0.224732i | ||||
\(179\) | −2.77329 | −0.207286 | −0.103643 | − | 0.994615i | \(-0.533050\pi\) | ||||
−0.103643 | + | 0.994615i | \(0.533050\pi\) | |||||||
\(180\) | −7.94940 | + | 13.6132i | −0.592513 | + | 1.01466i | ||||
\(181\) | −17.0228 | −1.26530 | −0.632648 | − | 0.774439i | \(-0.718032\pi\) | ||||
−0.632648 | + | 0.774439i | \(0.718032\pi\) | |||||||
\(182\) | −0.989118 | − | 0.645667i | −0.0733183 | − | 0.0478600i | ||||
\(183\) | −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 | ||||
\(188\) | 8.01799 | + | 2.24419i | 0.584772 | + | 0.163675i | ||||
\(189\) | 0.310654 | 0.0225967 | ||||||||
\(190\) | −8.83625 | + | 8.84722i | −0.641049 | + | 0.641845i | ||||
\(191\) | − | 10.8719i | − | 0.786660i | −0.919397 | − | 0.393330i | \(-0.871323\pi\) | ||
0.919397 | − | 0.393330i | \(-0.128677\pi\) | |||||||
\(192\) | 14.9235 | − | 13.9603i | 1.07701 | − | 1.00750i | ||||
\(193\) | −1.45498 | − | 1.45498i | −0.104732 | − | 0.104732i | 0.652799 | − | 0.757531i | \(-0.273594\pi\) |
−0.757531 | + | 0.652799i | \(0.773594\pi\) | |||||||
\(194\) | −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 | −0.899320 | − | 0.437292i | \(-0.855938\pi\) |
0.437292 | + | 0.899320i | \(0.355938\pi\) | |||||||
\(198\) | −6.95295 | − | 26.5377i | −0.494125 | − | 1.88595i | ||||
\(199\) | −15.4094 | −1.09234 | −0.546172 | − | 0.837673i | \(-0.683916\pi\) | ||||
−0.546172 | + | 0.837673i | \(0.683916\pi\) | |||||||
\(200\) | −3.60128 | − | 13.6759i | −0.254649 | − | 0.967034i | ||||
\(201\) | − | 9.24600i | − | 0.652163i | ||||||
\(202\) | −6.49785 | + | 1.70246i | −0.457187 | + | 0.119784i | ||||
\(203\) | 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 | ||||
\(208\) | −8.08363 | + | 11.9438i | −0.560499 | + | 0.828155i | ||||
\(209\) | − | 21.7600i | − | 1.50517i | ||||||
\(210\) | −1.32234 | + | 1.32398i | −0.0912501 | + | 0.0913634i | ||||
\(211\) | 11.8632i | 0.816693i | 0.912827 | + | 0.408347i | \(0.133895\pi\) | ||||
−0.912827 | + | 0.408347i | \(0.866105\pi\) | |||||||
\(212\) | 5.72601 | − | 20.4577i | 0.393264 | − | 1.40504i | ||||
\(213\) | −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 | ||||
\(218\) | 6.21417 | − | 1.62813i | 0.420877 | − | 0.110271i | ||||
\(219\) | 14.4096i | 0.973707i | ||||||||
\(220\) | 21.2524 | + | 12.4103i | 1.43284 | + | 0.836705i | ||||
\(221\) | 18.2777 | + | 20.1695i | 1.22949 | + | 1.35675i | ||||
\(222\) | 8.98636 | − | 2.35445i | 0.603125 | − | 0.158021i | ||||
\(223\) | 13.3351 | − | 13.3351i | 0.892984 | − | 0.892984i | −0.101819 | − | 0.994803i | \(-0.532466\pi\) |
0.994803 | + | 0.101819i | \(0.0324664\pi\) | |||||||
\(224\) | 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 | \(-0.0506851\pi\) |
−0.158560 | + | 0.987349i | \(0.550685\pi\) | |||||||
\(228\) | 5.44489 | − | 19.4533i | 0.360597 | − | 1.28833i | ||||
\(229\) | −22.5006 | −1.48688 | −0.743442 | − | 0.668800i | \(-0.766808\pi\) | ||||
−0.743442 | + | 0.668800i | \(0.766808\pi\) | |||||||
\(230\) | −0.0108281 | − | 17.4524i | −0.000713983 | − | 1.15078i | ||||
\(231\) | − | 3.25638i | − | 0.214254i | ||||||
\(232\) | −5.61187 | − | 5.80213i | −0.368437 | − | 0.380929i | ||||
\(233\) | −2.41578 | + | 2.41578i | −0.158263 | + | 0.158263i | −0.781796 | − | 0.623534i | \(-0.785696\pi\) |
0.623534 | + | 0.781796i | \(0.285696\pi\) | |||||||
\(234\) | 3.69547 | + | 17.5900i | 0.241580 | + | 1.14989i | ||||
\(235\) | −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 | ||||
\(238\) | −0.626824 | − | 2.39243i | −0.0406310 | − | 0.155078i | ||||
\(239\) | 18.0281i | 1.16614i | 0.812422 | + | 0.583069i | \(0.198148\pi\) | ||||
−0.812422 | + | 0.583069i | \(0.801852\pi\) | |||||||
\(240\) | 15.8942 | + | 16.4126i | 1.02596 | + | 1.05943i | ||||
\(241\) | − | 6.86574i | − | 0.442261i | −0.975244 | − | 0.221131i | \(-0.929025\pi\) | ||
0.975244 | − | 0.221131i | \(-0.0709747\pi\) | |||||||
\(242\) | −26.3814 | + | 6.91200i | −1.69586 | + | 0.444320i | ||||
\(243\) | 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 | ||||
\(248\) | 9.84531 | − | 9.52246i | 0.625178 | − | 0.604677i | ||||
\(249\) | 30.5465 | 1.93580 | ||||||||
\(250\) | 15.2183 | − | 4.29007i | 0.962487 | − | 0.271328i | ||||
\(251\) | 29.5621i | 1.86594i | 0.359951 | + | 0.932971i | \(0.382793\pi\) | ||||
−0.359951 | + | 0.932971i | \(0.617207\pi\) | |||||||
\(252\) | 0.440192 | − | 1.57270i | 0.0277295 | − | 0.0990711i | ||||
\(253\) | 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 | −0.995560 | − | 0.0941336i | \(-0.969992\pi\) |
−0.0941336 | − | 0.995560i | \(-0.530008\pi\) | |||||||
\(258\) | 3.09594 | + | 11.8164i | 0.192745 | + | 0.735659i | ||||
\(259\) | 0.595708 | 0.0370155 | ||||||||
\(260\) | −13.5078 | − | 8.80557i | −0.837721 | − | 0.546099i | ||||
\(261\) | −10.0600 | −0.622695 | ||||||||
\(262\) | −4.63046 | − | 17.6733i | −0.286071 | − | 1.09186i | ||||
\(263\) | −11.9852 | − | 11.9852i | −0.739039 | − | 0.739039i | 0.233353 | − | 0.972392i | \(-0.425030\pi\) |
−0.972392 | + | 0.233353i | \(0.925030\pi\) | |||||||
\(264\) | −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 | ||||
\(268\) | −6.97134 | − | 1.95124i | −0.425842 | − | 0.119191i | ||||
\(269\) | 7.60815i | 0.463877i | 0.972730 | + | 0.231939i | \(0.0745069\pi\) | ||||
−0.972730 | + | 0.231939i | \(0.925493\pi\) | |||||||
\(270\) | 4.24071 | − | 0.00263109i | 0.258082 | − | 0.000160123i | ||||
\(271\) | 21.2833 | 1.29287 | 0.646435 | − | 0.762969i | \(-0.276259\pi\) | ||||
0.646435 | + | 0.762969i | \(0.276259\pi\) | |||||||
\(272\) | −29.3345 | + | 7.16545i | −1.77867 | + | 0.434469i | ||||
\(273\) | −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 | 0.780112 | − | 0.625640i | \(-0.215162\pi\) |
−0.625640 | + | 0.780112i | \(0.715162\pi\) | |||||||
\(278\) | −11.8835 | + | 3.11352i | −0.712726 | + | 0.186736i | ||||
\(279\) | − | 17.0702i | − | 1.02196i | ||||||
\(280\) | 0.719199 | + | 1.27643i | 0.0429804 | + | 0.0762813i | ||||
\(281\) | 21.5337i | 1.28459i | 0.766457 | + | 0.642296i | \(0.222018\pi\) | ||||
−0.766457 | + | 0.642296i | \(0.777982\pi\) | |||||||
\(282\) | −3.81160 | − | 14.5479i | −0.226978 | − | 0.866317i | ||||
\(283\) | −14.9022 | − | 14.9022i | −0.885845 | − | 0.885845i | 0.108275 | − | 0.994121i | \(-0.465467\pi\) |
−0.994121 | + | 0.108275i | \(0.965467\pi\) | |||||||
\(284\) | −1.47288 | + | 0.828685i | −0.0873995 | + | 0.0491734i | ||||
\(285\) | 21.8515 | + | 5.71067i | 1.29437 | + | 0.338271i | ||||
\(286\) | 27.4609 | − | 5.76925i | 1.62380 | − | 0.341143i | ||||
\(287\) | 0.175474 | − | 0.175474i | 0.0103579 | − | 0.0103579i | ||||
\(288\) | −19.1101 | − | 5.69394i | −1.12607 | − | 0.335519i | ||||
\(289\) | 39.9911i | 2.35242i | ||||||||
\(290\) | 6.37755 | − | 6.38547i | 0.374503 | − | 0.374968i | ||||
\(291\) | 24.3485 | 1.42733 | ||||||||
\(292\) | 10.8646 | + | 3.04094i | 0.635801 | + | 0.177957i | ||||
\(293\) | −19.5898 | − | 19.5898i | −1.14445 | − | 1.14445i | −0.987627 | − | 0.156819i | \(-0.949876\pi\) |
−0.156819 | − | 0.987627i | \(-0.550124\pi\) | |||||||
\(294\) | −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 | ||||
\(298\) | −0.168352 | + | 0.0441087i | −0.00975236 | + | 0.00255515i | ||||
\(299\) | −13.3621 | − | 14.7451i | −0.772748 | − | 0.852730i | ||||
\(300\) | −18.0399 | + | 18.0848i | −1.04154 | + | 1.04412i | ||||
\(301\) | 0.783314i | 0.0451495i | ||||||||
\(302\) | 13.8804 | − | 3.63672i | 0.798729 | − | 0.209269i | ||||
\(303\) | 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 | \(-0.124902\pi\) |
−0.382399 | + | 0.923997i | \(0.624902\pi\) | |||||||
\(308\) | −2.45526 | − | 0.687214i | −0.139901 | − | 0.0391576i | ||||
\(309\) | − | 11.1289i | − | 0.633098i | ||||||
\(310\) | 10.8351 | + | 10.8217i | 0.615394 | + | 0.614631i | ||||
\(311\) | 11.0553i | 0.626889i | 0.949606 | + | 0.313445i | \(0.101483\pi\) | ||||
−0.949606 | + | 0.313445i | \(0.898517\pi\) | |||||||
\(312\) | 25.9935 | + | 1.71372i | 1.47159 | + | 0.0970202i | ||||
\(313\) | 15.6291 | − | 15.6291i | 0.883412 | − | 0.883412i | −0.110468 | − | 0.993880i | \(-0.535235\pi\) |
0.993880 | + | 0.110468i | \(0.0352349\pi\) | |||||||
\(314\) | 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 | −0.929824 | − | 0.368003i | \(-0.880041\pi\) |
0.368003 | + | 0.929824i | \(0.380041\pi\) | |||||||
\(318\) | −37.1188 | + | 9.72523i | −2.08152 | + | 0.545364i | ||||
\(319\) | 15.7053i | 0.879327i | ||||||||
\(320\) | 15.7291 | − | 8.52027i | 0.879284 | − | 0.476298i | ||||
\(321\) | −19.2391 | −1.07382 | ||||||||
\(322\) | 0.458245 | + | 1.74900i | 0.0255370 | + | 0.0974682i | ||||
\(323\) | −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 | ||||
\(328\) | −2.10649 | − | 2.17791i | −0.116311 | − | 0.120255i | ||||
\(329\) | − | 0.964386i | − | 0.0531683i | ||||||
\(330\) | −0.0275800 | − | 44.4526i | −0.00151823 | − | 2.44703i | ||||
\(331\) | −12.4043 | −0.681800 | −0.340900 | − | 0.940100i | \(-0.610732\pi\) | ||||
−0.340900 | + | 0.940100i | \(0.610732\pi\) | |||||||
\(332\) | 6.44641 | − | 23.0315i | 0.353793 | − | 1.26402i | ||||
\(333\) | −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 | 0.845958 | − | 0.533250i | \(-0.179030\pi\) |
−0.533250 | + | 0.845958i | \(0.679030\pi\) | |||||||
\(338\) | −18.1560 | + | 2.89113i | −0.987558 | + | 0.157257i | ||||
\(339\) | −19.4378 | −1.05571 | ||||||||
\(340\) | −8.57700 | − | 32.6536i | −0.465153 | − | 1.77089i | ||||
\(341\) | −26.6494 | −1.44314 | ||||||||
\(342\) | −19.0681 | + | 4.99591i | −1.03109 | + | 0.270148i | ||||
\(343\) | −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 | 0.0187150 | − | 0.999825i | \(-0.494042\pi\) |
0.999825 | − | 0.0187150i | \(-0.00595752\pi\) | |||||||
\(348\) | −3.92984 | + | 14.0404i | −0.210662 | + | 0.752646i | ||||
\(349\) | −6.46256 | −0.345933 | −0.172966 | − | 0.984928i | \(-0.555335\pi\) | ||||
−0.172966 | + | 0.984928i | \(0.555335\pi\) | |||||||
\(350\) | −1.41298 | + | 0.828639i | −0.0755269 | + | 0.0442926i | ||||
\(351\) | 3.58287 | − | 3.24681i | 0.191239 | − | 0.173302i | ||||
\(352\) | −8.88920 | + | 29.8341i | −0.473796 | + | 1.59016i | ||||
\(353\) | 11.1294 | + | 11.1294i | 0.592358 | + | 0.592358i | 0.938268 | − | 0.345910i | \(-0.112430\pi\) |
−0.345910 | + | 0.938268i | \(0.612430\pi\) | |||||||
\(354\) | −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 | ||||
\(358\) | 3.79397 | − | 0.994032i | 0.200518 | − | 0.0525362i | ||||
\(359\) | − | 25.0442i | − | 1.32178i | −0.750481 | − | 0.660892i | \(-0.770178\pi\) | ||
0.750481 | − | 0.660892i | \(-0.229822\pi\) | |||||||
\(360\) | 5.99571 | − | 21.4726i | 0.316002 | − | 1.13171i | ||||
\(361\) | 3.36474 | 0.177091 | ||||||||
\(362\) | 23.2879 | − | 6.10149i | 1.22398 | − | 0.320687i | ||||
\(363\) | 34.8316 | + | 34.8316i | 1.82819 | + | 1.82819i | ||||
\(364\) | 1.58458 | + | 0.528767i | 0.0830544 | + | 0.0277149i | ||||
\(365\) | −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 | 0.0974934 | − | 0.995236i | \(-0.468918\pi\) |
0.995236 | − | 0.0974934i | \(-0.0310825\pi\) | |||||||
\(368\) | 21.4452 | − | 5.23836i | 1.11791 | − | 0.273068i | ||||
\(369\) | −3.77614 | −0.196578 | ||||||||
\(370\) | 8.13197 | − | 0.00504536i | 0.422761 | − | 0.000262296i | ||||
\(371\) | −2.46061 | −0.127749 | ||||||||
\(372\) | −23.8244 | − | 6.66832i | −1.23524 | − | 0.345736i | ||||
\(373\) | −6.04223 | + | 6.04223i | −0.312855 | + | 0.312855i | −0.846014 | − | 0.533160i | \(-0.821004\pi\) |
0.533160 | + | 0.846014i | \(0.321004\pi\) | |||||||
\(374\) | 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 | ||||
\(378\) | −0.424986 | + | 0.111348i | −0.0218589 | + | 0.00572711i | ||||
\(379\) | 7.86972i | 0.404241i | 0.979361 | + | 0.202120i | \(0.0647832\pi\) | ||||
−0.979361 | + | 0.202120i | \(0.935217\pi\) | |||||||
\(380\) | 8.91721 | − | 15.2705i | 0.457443 | − | 0.783361i | ||||
\(381\) | −6.89729 | −0.353359 | ||||||||
\(382\) | 3.89680 | + | 14.8731i | 0.199378 | + | 0.760974i | ||||
\(383\) | −14.1927 | + | 14.1927i | −0.725214 | + | 0.725214i | −0.969662 | − | 0.244448i | \(-0.921393\pi\) |
0.244448 | + | 0.969662i | \(0.421393\pi\) | |||||||
\(384\) | −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 | ||||
\(388\) | 5.13841 | − | 18.3584i | 0.260863 | − | 0.932004i | ||||
\(389\) | − | 6.86099i | − | 0.347866i | −0.984758 | − | 0.173933i | \(-0.944352\pi\) | ||
0.984758 | − | 0.173933i | \(-0.0556476\pi\) | |||||||
\(390\) | −1.41331 | + | 29.0904i | −0.0715656 | + | 1.47305i | ||||
\(391\) | − | 41.6638i | − | 2.10703i | ||||||
\(392\) | 13.6592 | + | 14.1223i | 0.689893 | + | 0.713284i | ||||
\(393\) | −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 | −0.00804162 | − | 0.999968i | \(-0.502560\pi\) |
0.999968 | + | 0.00804162i | \(0.00255975\pi\) | |||||||
\(398\) | 21.0807 | − | 5.52320i | 1.05668 | − | 0.276853i | ||||
\(399\) | −2.33981 | −0.117137 | ||||||||
\(400\) | 9.82854 | + | 17.4184i | 0.491427 | + | 0.870919i | ||||
\(401\) | − | 4.02695i | − | 0.201096i | −0.994932 | − | 0.100548i | \(-0.967940\pi\) | ||
0.994932 | − | 0.100548i | \(-0.0320596\pi\) | |||||||
\(402\) | 3.31405 | + | 12.6489i | 0.165290 | + | 0.630869i | ||||
\(403\) | 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 | ||||
\(408\) | 37.9195 | + | 39.2051i | 1.87729 | + | 1.94094i | ||||
\(409\) | −17.7152 | −0.875961 | −0.437981 | − | 0.898984i | \(-0.644306\pi\) | ||||
−0.437981 | + | 0.898984i | \(0.644306\pi\) | |||||||
\(410\) | 2.39390 | − | 2.39687i | 0.118226 | − | 0.118373i | ||||
\(411\) | −30.2095 | −1.49013 | ||||||||
\(412\) | −8.39098 | − | 2.34859i | −0.413394 | − | 0.115707i | ||||
\(413\) | −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 | ||||
\(416\) | 6.77769 | − | 19.2370i | 0.332303 | − | 0.943173i | ||||
\(417\) | 15.6899 | + | 15.6899i | 0.768340 | + | 0.768340i | ||||
\(418\) | 7.79946 | + | 29.7686i | 0.381484 | + | 1.45603i | ||||
\(419\) | −10.3928 | −0.507720 | −0.253860 | − | 0.967241i | \(-0.581700\pi\) | ||||
−0.253860 | + | 0.967241i | \(0.581700\pi\) | |||||||
\(420\) | 1.33446 | − | 2.28522i | 0.0651148 | − | 0.111507i | ||||
\(421\) | − | 21.0719i | − | 1.02698i | −0.858095 | − | 0.513491i | \(-0.828352\pi\) | ||
0.858095 | − | 0.513491i | \(-0.171648\pi\) | |||||||
\(422\) | −4.25211 | − | 16.2293i | −0.206990 | − | 0.790028i | ||||
\(423\) | −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 | ||||
\(428\) | −4.06014 | + | 14.5060i | −0.196254 | + | 0.701172i | ||||
\(429\) | −34.0342 | − | 37.5568i | −1.64319 | − | 1.81326i | ||||
\(430\) | 0.00663429 | + | 10.6930i | 0.000319934 | + | 0.515660i | ||||
\(431\) | 8.95805 | 0.431494 | 0.215747 | − | 0.976449i | \(-0.430781\pi\) | ||||
0.215747 | + | 0.976449i | \(0.430781\pi\) | |||||||
\(432\) | 1.27286 | + | 5.21092i | 0.0612403 | + | 0.250711i | ||||
\(433\) | −7.88055 | + | 7.88055i | −0.378715 | + | 0.378715i | −0.870638 | − | 0.491924i | \(-0.836294\pi\) |
0.491924 | + | 0.870638i | \(0.336294\pi\) | |||||||
\(434\) | −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 | ||||
\(438\) | −5.16482 | − | 19.7128i | −0.246785 | − | 0.941915i | ||||
\(439\) | −6.72857 | −0.321137 | −0.160569 | − | 0.987025i | \(-0.551333\pi\) | ||||
−0.160569 | + | 0.987025i | \(0.551333\pi\) | |||||||
\(440\) | −33.5223 | − | 9.36031i | −1.59812 | − | 0.446235i | ||||
\(441\) | 24.4858 | 1.16599 | ||||||||
\(442\) | −32.2340 | − | 21.0414i | −1.53321 | − | 1.00084i | ||||
\(443\) | −19.9839 | − | 19.9839i | −0.949463 | − | 0.949463i | 0.0493202 | − | 0.998783i | \(-0.484295\pi\) |
−0.998783 | + | 0.0493202i | \(0.984295\pi\) | |||||||
\(444\) | −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 | ||||
\(448\) | −1.35337 | + | 1.26602i | −0.0639409 | + | 0.0598139i | ||||
\(449\) | 26.2168 | 1.23725 | 0.618623 | − | 0.785688i | \(-0.287691\pi\) | ||||
0.618623 | + | 0.785688i | \(0.287691\pi\) | |||||||
\(450\) | 24.1194 | + | 6.28739i | 1.13700 | + | 0.296390i | ||||
\(451\) | 5.89519i | 0.277593i | ||||||||
\(452\) | −4.10207 | + | 14.6558i | −0.192945 | + | 0.689349i | ||||
\(453\) | −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 | −0.146559 | + | 0.989202i | \(0.546820\pi\) |
−0.989202 | + | 0.146559i | \(0.953180\pi\) | |||||||
\(458\) | 30.7817 | − | 8.06491i | 1.43834 | − | 0.376848i | ||||
\(459\) | 10.1238 | 0.472537 | ||||||||
\(460\) | 6.27028 | + | 23.8717i | 0.292353 | + | 1.11302i | ||||
\(461\) | − | 19.0541i | − | 0.887437i | −0.896166 | − | 0.443718i | \(-0.853659\pi\) | ||
0.896166 | − | 0.443718i | \(-0.146341\pi\) | |||||||
\(462\) | 1.16718 | + | 4.45485i | 0.0543023 | + | 0.207258i | ||||
\(463\) | −25.5890 | + | 25.5890i | −1.18922 | + | 1.18922i | −0.211938 | + | 0.977283i | \(0.567977\pi\) |
−0.977283 | + | 0.211938i | \(0.932023\pi\) | |||||||
\(464\) | 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 | \(-0.922722\pi\) |
0.240399 | + | 0.970674i | \(0.422722\pi\) | |||||||
\(468\) | −11.3603 | − | 22.7392i | −0.525131 | − | 1.05112i | ||||
\(469\) | 0.838498i | 0.0387182i | ||||||||
\(470\) | −0.00816789 | − | 13.1648i | −0.000376757 | − | 0.607246i | ||||
\(471\) | − | 3.64130i | − | 0.167782i | ||||||
\(472\) | 6.68684 | + | 6.91356i | 0.307787 | + | 0.318222i | ||||
\(473\) | −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 | ||||
\(478\) | −6.46180 | − | 24.6631i | −0.295556 | − | 1.12806i | ||||
\(479\) | − | 25.6415i | − | 1.17159i | −0.810459 | − | 0.585795i | \(-0.800782\pi\) | ||
0.810459 | − | 0.585795i | \(-0.199218\pi\) | |||||||
\(480\) | −27.6266 | − | 16.7562i | −1.26098 | − | 0.764811i | ||||
\(481\) | 6.87049 | − | 6.22607i | 0.313267 | − | 0.283884i | ||||
\(482\) | 2.46089 | + | 9.39259i | 0.112090 | + | 0.427821i | ||||
\(483\) | 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 | 0.902089 | + | 0.431551i | \(0.142033\pi\) |
0.431551 | + | 0.902089i | \(0.357967\pi\) | |||||||
\(488\) | 7.48439 | − | 7.23896i | 0.338802 | − | 0.327692i | ||||
\(489\) | 25.5564 | 1.15570 | ||||||||
\(490\) | −15.5228 | + | 15.5421i | −0.701251 | + | 0.702121i | ||||
\(491\) | 0.827418i | 0.0373409i | 0.999826 | + | 0.0186704i | \(0.00594333\pi\) | ||||
−0.999826 | + | 0.0186704i | \(0.994057\pi\) | |||||||
\(492\) | −1.47512 | + | 5.27026i | −0.0665035 | + | 0.237602i | ||||
\(493\) | 15.2345 | − | 15.2345i | 0.686125 | − | 0.686125i | ||||
\(494\) | −4.14538 | − | 19.7315i | −0.186510 | − | 0.887763i | ||||
\(495\) | −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 | ||||
\(498\) | −41.7887 | + | 10.9488i | −1.87260 | + | 0.490626i | ||||
\(499\) | − | 3.46199i | − | 0.154980i | −0.996993 | − | 0.0774901i | \(-0.975309\pi\) | ||
0.996993 | − | 0.0774901i | \(-0.0246906\pi\) | |||||||
\(500\) | −19.2815 | + | 11.3237i | −0.862293 | + | 0.506410i | ||||
\(501\) | 17.5589i | 0.784476i | ||||||||
\(502\) | −10.5959 | − | 40.4421i | −0.472920 | − | 1.80502i | ||||
\(503\) | 31.3922 | + | 31.3922i | 1.39971 | + | 1.39971i | 0.800868 | + | 0.598840i | \(0.204372\pi\) |
0.598840 | + | 0.800868i | \(0.295628\pi\) | |||||||
\(504\) | −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 | ||||
\(508\) | −1.45558 | + | 5.20045i | −0.0645809 | + | 0.230733i | ||||
\(509\) | −14.2413 | −0.631233 | −0.315616 | − | 0.948887i | \(-0.602211\pi\) | ||||
−0.315616 | + | 0.948887i | \(0.602211\pi\) | |||||||
\(510\) | −43.0932 | + | 43.1467i | −1.90820 | + | 1.91057i | ||||
\(511\) | − | 1.30677i | − | 0.0578080i | ||||||
\(512\) | 15.1803 | + | 16.7797i | 0.670880 | + | 0.741566i | ||||
\(513\) | 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 | ||||
\(518\) | −0.814951 | + | 0.213520i | −0.0358069 | + | 0.00938152i | ||||
\(519\) | −37.1027 | −1.62863 | ||||||||
\(520\) | 21.6354 | + | 7.20474i | 0.948776 | + | 0.315949i | ||||
\(521\) | −34.5357 | −1.51304 | −0.756519 | − | 0.653972i | \(-0.773101\pi\) | ||||
−0.756519 | + | 0.653972i | \(0.773101\pi\) | |||||||
\(522\) | 13.7624 | − | 3.60579i | 0.602364 | − | 0.157821i | ||||
\(523\) | −25.5110 | − | 25.5110i | −1.11552 | − | 1.11552i | −0.992391 | − | 0.123127i | \(-0.960708\pi\) |
−0.123127 | − | 0.992391i | \(-0.539292\pi\) | |||||||
\(524\) | 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 | ||||
\(528\) | 54.6226 | − | 13.3425i | 2.37714 | − | 0.580658i | ||||
\(529\) | 7.45862i | 0.324288i | ||||||||
\(530\) | −33.5896 | + | 0.0208402i | −1.45904 | + | 0.000905241i | ||||
\(531\) | 11.9870 | 0.520190 | ||||||||
\(532\) | −0.493784 | + | 1.76418i | −0.0214083 | + | 0.0764868i | ||||
\(533\) | 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 | ||||
\(538\) | −2.72699 | − | 10.4082i | −0.117569 | − | 0.448731i | ||||
\(539\) | − | 38.2264i | − | 1.64653i | ||||||
\(540\) | −5.80051 | + | 1.52360i | −0.249614 | + | 0.0655653i | ||||
\(541\) | 9.57872i | 0.411821i | 0.978571 | + | 0.205911i | \(0.0660156\pi\) | ||||
−0.978571 | + | 0.205911i | \(0.933984\pi\) | |||||||
\(542\) | −29.1164 | + | 7.62859i | −1.25066 | + | 0.327676i | ||||
\(543\) | −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 | ||||
\(546\) | −0.620354 | − | 2.95281i | −0.0265487 | − | 0.126369i | ||||
\(547\) | 13.2510 | − | 13.2510i | 0.566571 | − | 0.566571i | −0.364595 | − | 0.931166i | \(-0.618793\pi\) |
0.931166 | + | 0.364595i | \(0.118793\pi\) | |||||||
\(548\) | −6.37531 | + | 22.7775i | −0.272340 | + | 0.973007i | ||||
\(549\) | − | 12.9767i | − | 0.553832i | ||||||
\(550\) | 9.81567 | − | 37.6544i | 0.418541 | − | 1.60559i | ||||
\(551\) | 11.2847 | 0.480745 | ||||||||
\(552\) | −27.7213 | − | 28.6612i | −1.17990 | − | 1.21990i | ||||
\(553\) | −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 | −0.208224 | − | 0.978081i | \(-0.566768\pi\) |
0.978081 | + | 0.208224i | \(0.0667683\pi\) | |||||||
\(558\) | 6.11846 | + | 23.3526i | 0.259015 | + | 0.988595i | ||||
\(559\) | 8.18684 | + | 9.03421i | 0.346267 | + | 0.382106i | ||||
\(560\) | −1.44140 | − | 1.48842i | −0.0609104 | − | 0.0628973i | ||||
\(561\) | − | 106.121i | − | 4.48042i | ||||||
\(562\) | −7.71832 | − | 29.4589i | −0.325578 | − | 1.24265i | ||||
\(563\) | 3.38749 | + | 3.38749i | 0.142766 | + | 0.142766i | 0.774877 | − | 0.632112i | \(-0.217812\pi\) |
−0.632112 | + | 0.774877i | \(0.717812\pi\) | |||||||
\(564\) | 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 | ||||
\(568\) | 1.71793 | − | 1.66160i | 0.0720828 | − | 0.0697191i | ||||
\(569\) | 8.75169i | 0.366890i | 0.983030 | + | 0.183445i | \(0.0587249\pi\) | ||||
−0.983030 | + | 0.183445i | \(0.941275\pi\) | |||||||
\(570\) | −31.9405 | + | 0.0198171i | −1.33784 | + | 0.000830045i | ||||
\(571\) | 12.1139i | 0.506950i | 0.967342 | + | 0.253475i | \(0.0815736\pi\) | ||||
−0.967342 | + | 0.253475i | \(0.918426\pi\) | |||||||
\(572\) | −35.4997 | + | 17.7354i | −1.48432 | + | 0.741553i | ||||
\(573\) | 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 | −0.993215 | − | 0.116293i | \(-0.962899\pi\) |
0.116293 | + | 0.993215i | \(0.462899\pi\) | |||||||
\(578\) | −14.3340 | − | 54.7093i | −0.596216 | − | 2.27561i | ||||
\(579\) | − | 5.25607i | − | 0.218435i | ||||||
\(580\) | −6.43598 | + | 11.0215i | −0.267240 | + | 0.457642i | ||||
\(581\) | −2.77019 | −0.114927 | ||||||||
\(582\) | −33.3096 | + | 8.72723i | −1.38073 | + | 0.361755i | ||||
\(583\) | 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 | −0.996536 | − | 0.0831587i | \(-0.973499\pi\) |
−0.0831587 | − | 0.996536i | \(-0.526501\pi\) | |||||||
\(588\) | 9.56517 | − | 34.1741i | 0.394461 | − | 1.40932i | ||||
\(589\) | 19.1484i | 0.788996i | ||||||||
\(590\) | −7.59919 | + | 7.60863i | −0.312854 | + | 0.313242i | ||||
\(591\) | −23.4264 | −0.963634 | ||||||||
\(592\) | 2.44082 | + | 9.99243i | 0.100317 | + | 0.410686i | ||||
\(593\) | 13.0189 | + | 13.0189i | 0.534622 | + | 0.534622i | 0.921944 | − | 0.387323i | \(-0.126600\pi\) |
−0.387323 | + | 0.921944i | \(0.626600\pi\) | |||||||
\(594\) | 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 | ||||
\(598\) | 23.5649 | + | 15.3825i | 0.963640 | + | 0.629036i | ||||
\(599\) | 41.8791 | 1.71113 | 0.855566 | − | 0.517693i | \(-0.173209\pi\) | ||||
0.855566 | + | 0.517693i | \(0.173209\pi\) | |||||||
\(600\) | 18.1972 | − | 31.2067i | 0.742898 | − | 1.27401i | ||||
\(601\) | 10.5248 | 0.429314 | 0.214657 | − | 0.976689i | \(-0.431137\pi\) | ||||
0.214657 | + | 0.976689i | \(0.431137\pi\) | |||||||
\(602\) | −0.280763 | − | 1.07160i | −0.0114431 | − | 0.0436753i | ||||
\(603\) | 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 | \(-0.777661\pi\) |
0.643070 | + | 0.765808i | \(0.277661\pi\) | |||||||
\(608\) | 21.4367 | + | 6.38716i | 0.869373 | + | 0.259034i | ||||
\(609\) | 1.68875 | 0.0684317 | ||||||||
\(610\) | 8.23685 | + | 8.22663i | 0.333500 | + | 0.333087i | ||||
\(611\) | −10.0793 | − | 11.1226i | −0.407766 | − | 0.449971i | ||||
\(612\) | 14.3452 | − | 51.2523i | 0.579872 | − | 2.07175i | ||||
\(613\) | 8.41384 | + | 8.41384i | 0.339832 | + | 0.339832i | 0.856304 | − | 0.516472i | \(-0.172755\pi\) |
−0.516472 | + | 0.856304i | \(0.672755\pi\) | |||||||
\(614\) | −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 | −0.999912 | − | 0.0132885i | \(-0.995770\pi\) |
0.0132885 | + | 0.999912i | \(0.495770\pi\) | |||||||
\(618\) | 3.98892 | + | 15.2247i | 0.160458 | + | 0.612427i | ||||
\(619\) | 33.5082i | 1.34681i | 0.739274 | + | 0.673404i | \(0.235169\pi\) | ||||
−0.739274 | + | 0.673404i | \(0.764831\pi\) | |||||||
\(620\) | −18.7017 | − | 10.9208i | −0.751078 | − | 0.438592i | ||||
\(621\) | −7.40106 | −0.296994 | ||||||||
\(622\) | −3.96256 | − | 15.1241i | −0.158884 | − | 0.606421i | ||||
\(623\) | 1.37023 | + | 1.37023i | 0.0548970 | + | 0.0548970i | ||||
\(624\) | −36.1743 | + | 6.97242i | −1.44813 | + | 0.279120i | ||||
\(625\) | −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 | ||||
\(628\) | −2.74548 | − | 0.768446i | −0.109557 | − | 0.0306644i | ||||
\(629\) | 19.4133 | 0.774059 | ||||||||
\(630\) | −2.58223 | + | 0.00160211i | −0.102879 | + | 6.38295e-5i | ||||
\(631\) | −46.8580 | −1.86539 | −0.932693 | − | 0.360670i | \(-0.882548\pi\) | ||||
−0.932693 | + | 0.360670i | \(0.882548\pi\) | |||||||
\(632\) | −13.1605 | + | 12.7289i | −0.523496 | + | 0.506330i | ||||
\(633\) | −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 | ||||
\(638\) | −5.62925 | − | 21.4854i | −0.222864 | − | 0.850616i | ||||
\(639\) | − | 2.97861i | − | 0.117832i | ||||||
\(640\) | −18.4641 | + | 17.2938i | −0.729857 | + | 0.683599i | ||||
\(641\) | 13.8420 | 0.546726 | 0.273363 | − | 0.961911i | \(-0.411864\pi\) | ||||
0.273363 | + | 0.961911i | \(0.411864\pi\) | |||||||
\(642\) | 26.3198 | − | 6.89587i | 1.03876 | − | 0.272158i | ||||
\(643\) | 20.3351 | − | 20.3351i | 0.801937 | − | 0.801937i | −0.181461 | − | 0.983398i | \(-0.558083\pi\) |
0.983398 | + | 0.181461i | \(0.0580826\pi\) | |||||||
\(644\) | −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 | \(-0.755328\pi\) |
0.695173 | + | 0.718842i | \(0.255328\pi\) | |||||||
\(648\) | −14.5352 | + | 14.0585i | −0.570996 | + | 0.552272i | ||||
\(649\) | − | 18.7137i | − | 0.734576i | ||||||
\(650\) | −7.63577 | + | 24.3248i | −0.299500 | + | 0.954096i | ||||
\(651\) | 2.86555i | 0.112310i | ||||||||
\(652\) | 5.39332 | − | 19.2691i | 0.211219 | − | 0.754635i | ||||
\(653\) | 2.39210 | − | 2.39210i | 0.0936099 | − | 0.0936099i | −0.658751 | − | 0.752361i | \(-0.728915\pi\) |
0.752361 | + | 0.658751i | \(0.228915\pi\) | |||||||
\(654\) | 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 | ||||
\(658\) | 0.345665 | + | 1.31932i | 0.0134754 | + | 0.0514323i | ||||
\(659\) | −0.152371 | −0.00593552 | −0.00296776 | − | 0.999996i | \(-0.500945\pi\) | ||||
−0.00296776 | + | 0.999996i | \(0.500945\pi\) | |||||||
\(660\) | 15.9709 | + | 60.8029i | 0.621666 | + | 2.36675i | ||||
\(661\) | 20.9602i | 0.815256i | 0.913148 | + | 0.407628i | \(0.133644\pi\) | ||||
−0.913148 | + | 0.407628i | \(0.866356\pi\) | |||||||
\(662\) | 16.9695 | − | 4.44606i | 0.659538 | − | 0.172801i | ||||
\(663\) | −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 | ||||
\(668\) | 13.2392 | + | 3.70557i | 0.512239 | + | 0.143373i | ||||
\(669\) | 48.1727 | 1.86246 | ||||||||
\(670\) | 0.00710167 | + | 11.4463i | 0.000274362 | + | 0.442208i | ||||
\(671\) | −20.2588 | −0.782083 | ||||||||
\(672\) | 3.20799 | + | 0.955835i | 0.123751 | + | 0.0368721i | ||||
\(673\) | −6.41803 | + | 6.41803i | −0.247397 | + | 0.247397i | −0.819902 | − | 0.572505i | \(-0.805972\pi\) |
0.572505 | + | 0.819902i | \(0.305972\pi\) | |||||||
\(674\) | −9.91087 | − | 5.79570i | −0.381752 | − | 0.223242i | ||||
\(675\) | −1.81529 | − | 6.45475i | −0.0698707 | − | 0.248444i | ||||
\(676\) | 23.8019 | − | 10.4628i | 0.915456 | − | 0.402417i | ||||
\(677\) | −18.3806 | − | 18.3806i | −0.706425 | − | 0.706425i | 0.259356 | − | 0.965782i | \(-0.416490\pi\) |
−0.965782 | + | 0.259356i | \(0.916490\pi\) | |||||||
\(678\) | 26.5916 | − | 6.96708i | 1.02124 | − | 0.267569i | ||||
\(679\) | −2.20810 | −0.0847393 | ||||||||
\(680\) | 23.4377 | + | 41.5971i | 0.898794 | + | 1.59518i | ||||
\(681\) | 45.1089i | 1.72858i | ||||||||
\(682\) | 36.4574 | − | 9.55194i | 1.39602 | − | 0.365763i | ||||
\(683\) | 15.9897 | − | 15.9897i | 0.611831 | − | 0.611831i | −0.331592 | − | 0.943423i | \(-0.607586\pi\) |
0.943423 | + | 0.331592i | \(0.107586\pi\) | |||||||
\(684\) | 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 | ||||
\(688\) | −13.1393 | + | 3.20951i | −0.500933 | + | 0.122361i | ||||
\(689\) | −28.3790 | + | 25.7172i | −1.08115 | + | 0.979748i | ||||
\(690\) | 31.5036 | − | 31.5427i | 1.19932 | − | 1.20081i | ||||
\(691\) | −5.79082 | −0.220293 | −0.110147 | − | 0.993915i | \(-0.535132\pi\) | ||||
−0.110147 | + | 0.993915i | \(0.535132\pi\) | |||||||
\(692\) | −7.83002 | + | 27.9748i | −0.297653 | + | 1.06344i | ||||
\(693\) | 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 | ||||
\(698\) | 8.84103 | − | 2.31638i | 0.334638 | − | 0.0876762i | ||||
\(699\) | −8.72693 | −0.330083 | ||||||||
\(700\) | 1.63600 | − | 1.64006i | 0.0618350 | − | 0.0619886i | ||||
\(701\) | 28.4829 | 1.07578 | 0.537892 | − | 0.843014i | \(-0.319221\pi\) | ||||
0.537892 | + | 0.843014i | \(0.319221\pi\) | |||||||
\(702\) | −3.73775 | + | 5.72597i | −0.141072 | + | 0.216113i | ||||
\(703\) | 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 | ||||
\(708\) | 4.68262 | − | 16.7299i | 0.175984 | − | 0.628749i | ||||
\(709\) | 9.26359 | 0.347902 | 0.173951 | − | 0.984754i | \(-0.444347\pi\) | ||||
0.173951 | + | 0.984754i | \(0.444347\pi\) | |||||||
\(710\) | 1.89065 | + | 1.88830i | 0.0709548 | + | 0.0708668i | ||||
\(711\) | 22.8181i | 0.855747i | ||||||||
\(712\) | 17.0067 | − | 16.4490i | 0.637352 | − | 0.616452i | ||||
\(713\) | −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 | ||||
\(718\) | 8.97661 | + | 34.2615i | 0.335004 | + | 1.27863i | ||||
\(719\) | 41.2932 | 1.53998 | 0.769988 | − | 0.638059i | \(-0.220262\pi\) | ||||
0.769988 | + | 0.638059i | \(0.220262\pi\) | |||||||
\(720\) | −0.505928 | + | 31.5244i | −0.0188548 | + | 1.17484i | ||||
\(721\) | 1.00925i | 0.0375864i | ||||||||
\(722\) | −4.60309 | + | 1.20602i | −0.171309 | + | 0.0448836i | ||||
\(723\) | 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 | 0.00945375 | − | 0.999955i | \(-0.496991\pi\) |
0.999955 | − | 0.00945375i | \(-0.00300927\pi\) | |||||||
\(728\) | −2.35729 | − | 0.155413i | −0.0873669 | − | 0.00575999i | ||||
\(729\) | 35.4782i | 1.31401i | ||||||||
\(730\) | −0.0110677 | − | 17.8386i | −0.000409634 | − | 0.660236i | ||||
\(731\) | 25.5271i | 0.944154i | ||||||||
\(732\) | −18.1113 | − | 5.06925i | −0.669411 | − | 0.187365i | ||||
\(733\) | −21.4865 | − | 21.4865i | −0.793621 | − | 0.793621i | 0.188460 | − | 0.982081i | \(-0.439651\pi\) |
−0.982081 | + | 0.188460i | \(0.939651\pi\) | |||||||
\(734\) | −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 | ||||
\(738\) | 5.16590 | − | 1.35348i | 0.190159 | − | 0.0498224i | ||||
\(739\) | 6.00692i | 0.220968i | 0.993878 | + | 0.110484i | \(0.0352401\pi\) | ||||
−0.993878 | + | 0.110484i | \(0.964760\pi\) | |||||||
\(740\) | −11.1230 | + | 2.92165i | −0.408891 | + | 0.107402i | ||||
\(741\) | −26.9857 | + | 24.4546i | −0.991346 | + | 0.898363i | ||||
\(742\) | 3.36621 | − | 0.881958i | 0.123577 | − | 0.0323777i | ||||
\(743\) | 34.5313 | − | 34.5313i | 1.26683 | − | 1.26683i | 0.319112 | − | 0.947717i | \(-0.396615\pi\) |
0.947717 | − | 0.319112i | \(-0.103385\pi\) | |||||||
\(744\) | 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 | ||||
\(748\) | −80.0134 | − | 22.3953i | −2.92558 | − | 0.818855i | ||||
\(749\) | 1.74475 | 0.0637516 | ||||||||
\(750\) | 35.2367 | + | 19.7389i | 1.28666 | + | 0.720762i | ||||
\(751\) | 21.7044i | 0.792004i | 0.918250 | + | 0.396002i | \(0.129603\pi\) | ||||
−0.918250 | + | 0.396002i | \(0.870397\pi\) | |||||||
\(752\) | 16.1767 | − | 3.95142i | 0.589902 | − | 0.144094i | ||||
\(753\) | −53.3961 | + | 53.3961i | −1.94586 | + | 1.94586i | ||||
\(754\) | 2.99192 | + | 14.2412i | 0.108959 | + | 0.518633i | ||||
\(755\) | −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 | 0.946870 | − | 0.321615i | \(-0.104226\pi\) |
−0.321615 | + | 0.946870i | \(0.604226\pi\) | |||||||
\(758\) | −2.82075 | − | 10.7661i | −0.102454 | − | 0.391042i | ||||
\(759\) | 77.5804i | 2.81599i | ||||||||
\(760\) | −6.72567 | + | 24.0868i | −0.243966 | + | 0.873721i | ||||
\(761\) | − | 28.0417i | − | 1.01651i | −0.861206 | − | 0.508256i | \(-0.830291\pi\) | ||
0.861206 | − | 0.508256i | \(-0.169709\pi\) | |||||||
\(762\) | 9.43576 | − | 2.47220i | 0.341822 | − | 0.0895583i | ||||
\(763\) | 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 | ||||
\(768\) | 12.3217 | − | 38.9689i | 0.444622 | − | 1.40617i | ||||
\(769\) | 11.2528 | 0.405786 | 0.202893 | − | 0.979201i | \(-0.434966\pi\) | ||||
0.202893 | + | 0.979201i | \(0.434966\pi\) | |||||||
\(770\) | 0.00250116 | + | 4.03130i | 9.01355e−5 | + | 0.145278i | ||||
\(771\) | − | 63.1067i | − | 2.27273i | ||||||
\(772\) | −3.96299 | − | 1.10922i | −0.142631 | − | 0.0399217i | ||||
\(773\) | −16.3681 | − | 16.3681i | −0.588719 | − | 0.588719i | 0.348565 | − | 0.937285i | \(-0.386669\pi\) |
−0.937285 | + | 0.348565i | \(0.886669\pi\) | |||||||
\(774\) | −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 | ||||
\(778\) | 2.45918 | + | 9.38609i | 0.0881660 | + | 0.336508i | ||||
\(779\) | 4.23587 | 0.151766 | ||||||||
\(780\) | −8.49342 | − | 40.3033i | −0.304113 | − | 1.44309i | ||||
\(781\) | −4.65012 | −0.166394 | ||||||||
\(782\) | 14.9336 | + | 56.9976i | 0.534023 | + | 2.03823i | ||||
\(783\) | −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 | \(-0.292560\pi\) |
−0.795058 | + | 0.606533i | \(0.792560\pi\) | |||||||
\(788\) | −4.94382 | + | 17.6631i | −0.176116 | + | 0.629223i | ||||
\(789\) | − | 43.2962i | − | 1.54139i | ||||||
\(790\) | −14.4836 | − | 14.4657i | −0.515304 | − | 0.514665i | ||||
\(791\) | 1.76276 | 0.0626766 | ||||||||
\(792\) | −38.1447 | − | 39.4379i | −1.35541 | − | 1.40137i | ||||
\(793\) | 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 | 0.997189 | − | 0.0749300i | \(-0.0238733\pi\) |
−0.0749300 | + | 0.997189i | \(0.523873\pi\) | |||||||
\(798\) | 3.20095 | − | 0.838658i | 0.113312 | − | 0.0296882i | ||||
\(799\) | − | 31.4280i | − | 1.11184i | ||||||
\(800\) | −19.6891 | − | 20.3061i | −0.696115 | − | 0.717931i | ||||
\(801\) | − | 29.4868i | − | 1.04186i | ||||||
\(802\) | 1.44338 | + | 5.50902i | 0.0509675 | + | 0.194530i | ||||
\(803\) | 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 | ||||
\(806\) | −24.1650 | + | 5.07682i | −0.851177 | + | 0.178823i | ||||
\(807\) | −13.7421 | + | 13.7421i | −0.483746 | + | 0.483746i | ||||
\(808\) | −9.65652 | + | 9.33986i | −0.339715 | + | 0.328575i | ||||
\(809\) | 23.8154i | 0.837303i | 0.908147 | + | 0.418652i | \(0.137497\pi\) | ||||
−0.908147 | + | 0.418652i | \(0.862503\pi\) | |||||||
\(810\) | −15.9965 | − | 15.9767i | −0.562060 | − | 0.561363i | ||||
\(811\) | 30.0828 | 1.05635 | 0.528176 | − | 0.849135i | \(-0.322876\pi\) | ||||
0.528176 | + | 0.849135i | \(0.322876\pi\) | |||||||
\(812\) | 0.356388 | − | 1.27329i | 0.0125068 | − | 0.0446838i | ||||
\(813\) | 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 | ||||
\(818\) | 24.2351 | − | 6.34967i | 0.847360 | − | 0.222011i | ||||
\(819\) | −2.18166 | + | 1.97703i | −0.0762334 | + | 0.0690831i | ||||
\(820\) | −2.41583 | + | 4.13706i | −0.0843645 | + | 0.144472i | ||||
\(821\) | 2.94162i | 0.102663i | 0.998682 | + | 0.0513316i | \(0.0163465\pi\) | ||||
−0.998682 | + | 0.0513316i | \(0.983653\pi\) | |||||||
\(822\) | 41.3278 | − | 10.8280i | 1.44147 | − | 0.377670i | ||||
\(823\) | −1.41844 | − | 1.41844i | −0.0494436 | − | 0.0494436i | 0.681953 | − | 0.731396i | \(-0.261131\pi\) |
−0.731396 | + | 0.681953i | \(0.761131\pi\) | |||||||
\(824\) | 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 | \(-0.186847\pi\) |
−0.553863 | + | 0.832608i | \(0.686847\pi\) | |||||||
\(828\) | −10.4872 | + | 37.4684i | −0.364456 | + | 1.30212i | ||||
\(829\) | − | 23.0413i | − | 0.800256i | −0.916459 | − | 0.400128i | \(-0.868966\pi\) | ||
0.916459 | − | 0.400128i | \(-0.131034\pi\) | |||||||
\(830\) | −37.8156 | + | 0.0234621i | −1.31260 | + | 0.000814383i | ||||
\(831\) | 9.28736i | 0.322175i | ||||||||
\(832\) | −2.37700 | + | 28.7463i | −0.0824077 | + | 0.996599i | ||||
\(833\) | −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 | ||||
\(838\) | 14.2177 | − | 3.72508i | 0.491142 | − | 0.128681i | ||||
\(839\) | 26.0910i | 0.900763i | 0.892836 | + | 0.450381i | \(0.148712\pi\) | ||||
−0.892836 | + | 0.450381i | \(0.851288\pi\) | |||||||
\(840\) | −1.00649 | + | 3.60458i | −0.0347273 | + | 0.124370i | ||||
\(841\) | 20.8553 | 0.719147 | ||||||||
\(842\) | 7.55280 | + | 28.8272i | 0.260287 | + | 0.993449i | ||||
\(843\) | −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 | ||||
\(848\) | −10.0820 | − | 41.2744i | −0.346216 | − | 1.41737i | ||||
\(849\) | − | 53.8339i | − | 1.84758i | ||||||
\(850\) | −46.0470 | + | 27.0042i | −1.57940 | + | 0.926237i | ||||
\(851\) | −14.1922 | −0.486504 | ||||||||
\(852\) | −4.15718 | − | 1.16357i | −0.142423 | − | 0.0398633i | ||||
\(853\) | 3.64717 | + | 3.64717i | 0.124877 | + | 0.124877i | 0.766783 | − | 0.641906i | \(-0.221856\pi\) |
−0.641906 | + | 0.766783i | \(0.721856\pi\) | |||||||
\(854\) | −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 | 0.971906 | + | 0.235369i | \(0.0756300\pi\) |
0.235369 | + | 0.971906i | \(0.424370\pi\) | |||||||
\(858\) | 60.0216 | + | 39.1803i | 2.04910 | + | 1.33759i | ||||
\(859\) | 30.2247 | 1.03125 | 0.515626 | − | 0.856814i | \(-0.327559\pi\) | ||||
0.515626 | + | 0.856814i | \(0.327559\pi\) | |||||||
\(860\) | −3.84176 | − | 14.6260i | −0.131003 | − | 0.498742i | ||||
\(861\) | 0.633896 | 0.0216031 | ||||||||
\(862\) | −12.2549 | + | 3.21083i | −0.417405 | + | 0.109361i | ||||
\(863\) | −15.8426 | + | 15.8426i | −0.539287 | + | 0.539287i | −0.923320 | − | 0.384032i | \(-0.874535\pi\) |
0.384032 | + | 0.923320i | \(0.374535\pi\) | |||||||
\(864\) | −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 | ||||
\(868\) | 2.16058 | + | 0.604734i | 0.0733347 | + | 0.0205260i | ||||
\(869\) | 35.6230 | 1.20843 | ||||||||
\(870\) | 23.0530 | − | 0.0143029i | 0.781571 | − | 0.000484915i | ||||
\(871\) | 8.76360 | + | 9.67066i | 0.296943 | + | 0.327678i | ||||
\(872\) | 9.23495 | − | 8.93211i | 0.312735 | − | 0.302479i | ||||
\(873\) | 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 | −0.194382 | − | 0.980926i | \(-0.562270\pi\) |
0.980926 | + | 0.194382i | \(0.0622700\pi\) | |||||||
\(878\) | 9.20495 | − | 2.41172i | 0.310652 | − | 0.0813918i | ||||
\(879\) | − | 70.7675i | − | 2.38693i | ||||||
\(880\) | 49.2149 | + | 0.789839i | 1.65903 | + | 0.0266255i | ||||
\(881\) | 11.2014 | 0.377383 | 0.188692 | − | 0.982036i | \(-0.439575\pi\) | ||||
0.188692 | + | 0.982036i | \(0.439575\pi\) | |||||||
\(882\) | −33.4974 | + | 8.77643i | −1.12792 | + | 0.295518i | ||||
\(883\) | 1.25527 | + | 1.25527i | 0.0422433 | + | 0.0422433i | 0.727913 | − | 0.685670i | \(-0.240491\pi\) |
−0.685670 | + | 0.727913i | \(0.740491\pi\) | |||||||
\(884\) | 51.6392 | + | 17.2318i | 1.73681 | + | 0.579567i | ||||
\(885\) | 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 | −0.147730 | + | 0.989028i | \(0.547197\pi\) |
−0.989028 | + | 0.147730i | \(0.952803\pi\) | |||||||
\(888\) | 13.3547 | − | 12.9168i | 0.448155 | − | 0.433459i | ||||
\(889\) | 0.625499 | 0.0209786 | ||||||||
\(890\) | 18.7165 | + | 18.6933i | 0.627378 | + | 0.626600i | ||||
\(891\) | 39.3440 | 1.31807 | ||||||||
\(892\) | 10.1662 | − | 36.3214i | 0.340389 | − | 1.21613i | ||||
\(893\) | 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 | ||||
\(898\) | −35.8655 | + | 9.39688i | −1.19685 | + | 0.313578i | ||||
\(899\) | − | 13.8203i | − | 0.460934i | ||||||
\(900\) | −35.2498 | + | 0.0437405i | −1.17499 | + | 0.00145802i | ||||
\(901\) | −80.1879 | −2.67145 | ||||||||
\(902\) | −2.11301 | − | 8.06484i | −0.0703556 | − | 0.268530i | ||||
\(903\) | −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 | \(-0.743041\pi\) |
0.722396 | + | 0.691480i | \(0.243041\pi\) | |||||||
\(908\) | 34.0114 | + | 9.51961i | 1.12871 | + | 0.315919i | ||||
\(909\) | 16.7428i | 0.555325i | ||||||||
\(910\) | 0.128169 | − | 2.63814i | 0.00424878 | − | 0.0874534i | ||||
\(911\) | 42.6566i | 1.41328i | 0.707575 | + | 0.706638i | \(0.249789\pi\) | ||||
−0.707575 | + | 0.706638i | \(0.750211\pi\) | |||||||
\(912\) | −9.58700 | − | 39.2480i | −0.317457 | − | 1.29963i | ||||
\(913\) | 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 | ||||
\(918\) | −13.8497 | + | 3.62867i | −0.457108 | + | 0.119764i | ||||
\(919\) | −11.0769 | −0.365392 | −0.182696 | − | 0.983169i | \(-0.558482\pi\) | ||||
−0.182696 | + | 0.983169i | \(0.558482\pi\) | |||||||
\(920\) | −17.1343 | − | 30.4099i | −0.564901 | − | 1.00258i | ||||
\(921\) | 34.2808i | 1.12959i | ||||||||
\(922\) | 6.82956 | + | 26.0667i | 0.224919 | + | 0.858461i | ||||
\(923\) | 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 | ||||
\(928\) | −15.4719 | − | 4.60993i | −0.507890 | − | 0.151328i | ||||
\(929\) | 60.4609 | 1.98366 | 0.991828 | − | 0.127580i | \(-0.0407209\pi\) | ||||
0.991828 | + | 0.127580i | \(0.0407209\pi\) | |||||||
\(930\) | 0.0242698 | + | 39.1174i | 0.000795838 | + | 1.28271i | ||||
\(931\) | −27.4668 | −0.900189 | ||||||||
\(932\) | −1.84170 | + | 6.57997i | −0.0603269 | + | 0.215534i | ||||
\(933\) | −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 | ||||
\(936\) | 23.6918 | + | 27.0362i | 0.774390 | + | 0.883706i | ||||
\(937\) | 26.5016 | + | 26.5016i | 0.865769 | + | 0.865769i | 0.992001 | − | 0.126232i | \(-0.0402882\pi\) |
−0.126232 | + | 0.992001i | \(0.540288\pi\) | |||||||
\(938\) | −0.300543 | − | 1.14710i | −0.00981307 | − | 0.0374540i | ||||
\(939\) | 56.4599 | 1.84250 | ||||||||
\(940\) | 4.72983 | + | 18.0070i | 0.154270 | + | 0.587323i | ||||
\(941\) | 47.4704i | 1.54749i | 0.633497 | + | 0.773745i | \(0.281619\pi\) | ||||
−0.633497 | + | 0.773745i | \(0.718381\pi\) | |||||||
\(942\) | 1.30515 | + | 4.98144i | 0.0425242 | + | 0.162304i | ||||
\(943\) | −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 | \(-0.348816\pi\) |
−0.889312 | + | 0.457301i | \(0.848816\pi\) | |||||||
\(948\) | 31.8467 | + | 8.91373i | 1.03433 | + | 0.289505i | ||||
\(949\) | −13.6577 | − | 15.0714i | −0.443349 | − | 0.489237i | ||||
\(950\) | −27.0559 | − | 7.05286i | −0.877808 | − | 0.228825i | ||||
\(951\) | −36.1354 | −1.17177 | ||||||||
\(952\) | −3.43883 | − | 3.55542i | −0.111453 | − | 0.115232i | ||||
\(953\) | 9.18026 | − | 9.18026i | 0.297378 | − | 0.297378i | −0.542608 | − | 0.839986i | \(-0.682563\pi\) |
0.839986 | + | 0.542608i | \(0.182563\pi\) | |||||||
\(954\) | −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 | ||||
\(958\) | 9.19069 | + | 35.0786i | 0.296938 | + | 1.13334i | ||||
\(959\) | 2.73963 | 0.0884673 | ||||||||
\(960\) | 43.8001 | + | 13.0209i | 1.41364 | + | 0.420247i | ||||
\(961\) | −7.54909 | −0.243519 | ||||||||
\(962\) | −7.16748 | + | 10.9801i | −0.231089 | + | 0.354012i | ||||
\(963\) | −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 | 0.991686 | + | 0.128679i | \(0.0410738\pi\) |
0.128679 | + | 0.991686i | \(0.458926\pi\) | |||||||
\(968\) | −39.2056 | + | 37.9200i | −1.26012 | + | 1.21879i | ||||
\(969\) | −76.2511 | −2.44954 | ||||||||
\(970\) | −30.1427 | + | 0.0187016i | −0.967823 | + | 0.000600472i | ||||
\(971\) | − | 53.1110i | − | 1.70441i | −0.523206 | − | 0.852206i | \(-0.675264\pi\) | ||
0.523206 | − | 0.852206i | \(-0.324736\pi\) | |||||||
\(972\) | 42.9217 | + | 12.0136i | 1.37671 | + | 0.385335i | ||||
\(973\) | −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 | 0.496238 | − | 0.868187i | \(-0.334714\pi\) |
0.868187 | − | 0.496238i | \(-0.165286\pi\) | |||||||
\(978\) | −34.9621 | + | 9.16017i | −1.11796 | + | 0.292910i | ||||
\(979\) | −46.0338 | −1.47125 | ||||||||
\(980\) | 15.6651 | − | 26.8261i | 0.500402 | − | 0.856927i | ||||
\(981\) | − | 16.0119i | − | 0.511220i | ||||||
\(982\) | −0.296572 | − | 1.13194i | −0.00946398 | − | 0.0361216i | ||||
\(983\) | 20.3093 | − | 20.3093i | 0.647767 | − | 0.647767i | −0.304686 | − | 0.952453i | \(-0.598551\pi\) |
0.952453 | + | 0.304686i | \(0.0985514\pi\) | |||||||
\(984\) | 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 | ||||
\(988\) | 12.7434 | + | 25.5076i | 0.405422 | + | 0.811506i | ||||
\(989\) | − | 18.6618i | − | 0.593410i | ||||||
\(990\) | 43.3491 | − | 43.4029i | 1.37773 | − | 1.37944i | ||||
\(991\) | 10.5853i | 0.336254i | 0.985765 | + | 0.168127i | \(0.0537718\pi\) | ||||
−0.985765 | + | 0.168127i | \(0.946228\pi\) | |||||||
\(992\) | 7.82232 | − | 26.2534i | 0.248359 | − | 0.833546i | ||||
\(993\) | −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 | −0.970384 | − | 0.241566i | \(-0.922339\pi\) |
−0.241566 | − | 0.970384i | \(-0.577661\pi\) | |||||||
\(998\) | 1.24088 | + | 4.73614i | 0.0392795 | + | 0.149920i | ||||
\(999\) | − | 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.207.2 | yes | 64 | |
4.3 | odd | 2 | inner | 260.2.p.d.207.15 | yes | 64 | |
5.3 | odd | 4 | inner | 260.2.p.d.103.18 | yes | 64 | |
13.12 | even | 2 | inner | 260.2.p.d.207.31 | yes | 64 | |
20.3 | even | 4 | inner | 260.2.p.d.103.31 | yes | 64 | |
52.51 | odd | 2 | inner | 260.2.p.d.207.18 | yes | 64 | |
65.38 | odd | 4 | inner | 260.2.p.d.103.15 | yes | 64 | |
260.103 | even | 4 | inner | 260.2.p.d.103.2 | ✓ | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.p.d.103.2 | ✓ | 64 | 260.103 | even | 4 | inner | |
260.2.p.d.103.15 | yes | 64 | 65.38 | odd | 4 | inner | |
260.2.p.d.103.18 | yes | 64 | 5.3 | odd | 4 | inner | |
260.2.p.d.103.31 | yes | 64 | 20.3 | even | 4 | inner | |
260.2.p.d.207.2 | yes | 64 | 1.1 | even | 1 | trivial | |
260.2.p.d.207.15 | yes | 64 | 4.3 | odd | 2 | inner | |
260.2.p.d.207.18 | yes | 64 | 52.51 | odd | 2 | inner | |
260.2.p.d.207.31 | yes | 64 | 13.12 | even | 2 | inner |