Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [112,2,Mod(3,112)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(112, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("112.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 112 = 2^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 112.v (of order \(12\), degree \(4\), 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: | \(0.894324502638\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 3.13 | ||
Character | \(\chi\) | \(=\) | 112.3 |
Dual form | 112.2.v.a.75.13 |
$q$-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 \(\left(\mathbb{Z}/112\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(85\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.31418 | + | 0.522432i | 0.929265 | + | 0.369415i | ||||
\(3\) | −2.48480 | + | 0.665801i | −1.43460 | + | 0.384400i | −0.890640 | − | 0.454710i | \(-0.849743\pi\) |
−0.543962 | + | 0.839110i | \(0.683076\pi\) | |||||||
\(4\) | 1.45413 | + | 1.37314i | 0.727065 | + | 0.686568i | ||||
\(5\) | −0.837076 | + | 3.12401i | −0.374352 | + | 1.39710i | 0.479938 | + | 0.877302i | \(0.340659\pi\) |
−0.854290 | + | 0.519797i | \(0.826008\pi\) | |||||||
\(6\) | −3.61331 | − | 0.423158i | −1.47513 | − | 0.172753i | ||||
\(7\) | 1.56215 | − | 2.13534i | 0.590436 | − | 0.807084i | ||||
\(8\) | 1.19362 | + | 2.56423i | 0.422007 | + | 0.906592i | ||||
\(9\) | 3.13287 | − | 1.80877i | 1.04429 | − | 0.602922i | ||||
\(10\) | −2.73215 | + | 3.66819i | −0.863981 | + | 1.15998i | ||||
\(11\) | −1.40398 | + | 0.376195i | −0.423315 | + | 0.113427i | −0.464187 | − | 0.885737i | \(-0.653653\pi\) |
0.0408713 | + | 0.999164i | \(0.486987\pi\) | |||||||
\(12\) | −4.52746 | − | 2.44381i | −1.30697 | − | 0.705468i | ||||
\(13\) | 3.11315 | − | 3.11315i | 0.863433 | − | 0.863433i | −0.128303 | − | 0.991735i | \(-0.540953\pi\) |
0.991735 | + | 0.128303i | \(0.0409528\pi\) | |||||||
\(14\) | 3.16851 | − | 1.99011i | 0.846820 | − | 0.531879i | ||||
\(15\) | − | 8.31987i | − | 2.14818i | ||||||
\(16\) | 0.228992 | + | 3.99344i | 0.0572479 | + | 0.998360i | ||||
\(17\) | 2.02443 | + | 1.16881i | 0.490997 | + | 0.283477i | 0.724988 | − | 0.688761i | \(-0.241845\pi\) |
−0.233991 | + | 0.972239i | \(0.575179\pi\) | |||||||
\(18\) | 5.06211 | − | 0.740329i | 1.19315 | − | 0.174497i | ||||
\(19\) | 1.18070 | − | 4.40643i | 0.270871 | − | 1.01090i | −0.687687 | − | 0.726007i | \(-0.741374\pi\) |
0.958558 | − | 0.284897i | \(-0.0919594\pi\) | |||||||
\(20\) | −5.50691 | + | 3.39330i | −1.23138 | + | 0.758764i | ||||
\(21\) | −2.45991 | + | 6.34599i | −0.536797 | + | 1.38481i | ||||
\(22\) | −2.04161 | − | 0.239095i | −0.435274 | − | 0.0509753i | ||||
\(23\) | −1.15450 | − | 1.99965i | −0.240729 | − | 0.416955i | 0.720193 | − | 0.693774i | \(-0.244053\pi\) |
−0.960922 | + | 0.276819i | \(0.910720\pi\) | |||||||
\(24\) | −4.67317 | − | 5.57689i | −0.953907 | − | 1.13838i | ||||
\(25\) | −4.72861 | − | 2.73006i | −0.945722 | − | 0.546013i | ||||
\(26\) | 5.71764 | − | 2.46483i | 1.12132 | − | 0.483392i | ||||
\(27\) | −1.12329 | + | 1.12329i | −0.216177 | + | 0.216177i | ||||
\(28\) | 5.20369 | − | 0.960029i | 0.983404 | − | 0.181428i | ||||
\(29\) | −1.55163 | − | 1.55163i | −0.288130 | − | 0.288130i | 0.548210 | − | 0.836341i | \(-0.315309\pi\) |
−0.836341 | + | 0.548210i | \(0.815309\pi\) | |||||||
\(30\) | 4.34656 | − | 10.9338i | 0.793570 | − | 1.99623i | ||||
\(31\) | −3.88952 | + | 6.73685i | −0.698579 | + | 1.20997i | 0.270380 | + | 0.962754i | \(0.412851\pi\) |
−0.968959 | + | 0.247221i | \(0.920483\pi\) | |||||||
\(32\) | −1.78536 | + | 5.36773i | −0.315611 | + | 0.948889i | ||||
\(33\) | 3.23814 | − | 1.86954i | 0.563687 | − | 0.325445i | ||||
\(34\) | 2.04984 | + | 2.59365i | 0.351545 | + | 0.444807i | ||||
\(35\) | 5.36320 | + | 6.66761i | 0.906546 | + | 1.12703i | ||||
\(36\) | 7.03929 | + | 1.67168i | 1.17322 | + | 0.278614i | ||||
\(37\) | −1.01669 | − | 0.272421i | −0.167142 | − | 0.0447857i | 0.174277 | − | 0.984697i | \(-0.444241\pi\) |
−0.341420 | + | 0.939911i | \(0.610908\pi\) | |||||||
\(38\) | 3.85371 | − | 5.17400i | 0.625154 | − | 0.839333i | ||||
\(39\) | −5.66282 | + | 9.80830i | −0.906778 | + | 1.57058i | ||||
\(40\) | −9.00983 | + | 1.58242i | −1.42458 | + | 0.250202i | ||||
\(41\) | 2.77210 | 0.432929 | 0.216464 | − | 0.976290i | \(-0.430547\pi\) | ||||
0.216464 | + | 0.976290i | \(0.430547\pi\) | |||||||
\(42\) | −6.54811 | + | 7.05462i | −1.01039 | + | 1.08855i | ||||
\(43\) | 7.12142 | + | 7.12142i | 1.08601 | + | 1.08601i | 0.995935 | + | 0.0900717i | \(0.0287096\pi\) |
0.0900717 | + | 0.995935i | \(0.471290\pi\) | |||||||
\(44\) | −2.55813 | − | 1.38082i | −0.385653 | − | 0.208166i | ||||
\(45\) | 3.02815 | + | 11.3012i | 0.451410 | + | 1.68468i | ||||
\(46\) | −0.472536 | − | 3.23104i | −0.0696716 | − | 0.476390i | ||||
\(47\) | −1.42516 | − | 2.46844i | −0.207880 | − | 0.360059i | 0.743166 | − | 0.669107i | \(-0.233323\pi\) |
−0.951047 | + | 0.309047i | \(0.899990\pi\) | |||||||
\(48\) | −3.22783 | − | 9.77044i | −0.465898 | − | 1.41024i | ||||
\(49\) | −2.11939 | − | 6.67144i | −0.302770 | − | 0.953064i | ||||
\(50\) | −4.78797 | − | 6.05817i | −0.677121 | − | 0.856754i | ||||
\(51\) | −5.80851 | − | 1.55638i | −0.813354 | − | 0.217937i | ||||
\(52\) | 8.80171 | − | 0.252146i | 1.22058 | − | 0.0349664i | ||||
\(53\) | −2.97221 | − | 11.0925i | −0.408265 | − | 1.52367i | −0.797954 | − | 0.602719i | \(-0.794084\pi\) |
0.389689 | − | 0.920947i | \(-0.372583\pi\) | |||||||
\(54\) | −2.06305 | + | 0.889362i | −0.280745 | + | 0.121027i | ||||
\(55\) | − | 4.70094i | − | 0.633875i | ||||||
\(56\) | 7.34012 | + | 1.45692i | 0.980865 | + | 0.194689i | ||||
\(57\) | 11.7352i | 1.55437i | ||||||||
\(58\) | −1.22850 | − | 2.84974i | −0.161310 | − | 0.374189i | ||||
\(59\) | 1.01120 | + | 3.77383i | 0.131646 | + | 0.491311i | 0.999989 | − | 0.00465348i | \(-0.00148125\pi\) |
−0.868343 | + | 0.495965i | \(0.834815\pi\) | |||||||
\(60\) | 11.4243 | − | 12.0982i | 1.47487 | − | 1.56187i | ||||
\(61\) | −13.9045 | − | 3.72571i | −1.78029 | − | 0.477028i | −0.789655 | − | 0.613551i | \(-0.789741\pi\) |
−0.990637 | + | 0.136523i | \(0.956407\pi\) | |||||||
\(62\) | −8.63107 | + | 6.82142i | −1.09615 | + | 0.866321i | ||||
\(63\) | 1.03167 | − | 9.51532i | 0.129978 | − | 1.19882i | ||||
\(64\) | −5.15056 | + | 6.12142i | −0.643819 | + | 0.765177i | ||||
\(65\) | 7.11957 | + | 12.3315i | 0.883074 | + | 1.52953i | ||||
\(66\) | 5.23220 | − | 0.765203i | 0.644039 | − | 0.0941900i | ||||
\(67\) | −0.695627 | − | 2.59612i | −0.0849844 | − | 0.317166i | 0.910327 | − | 0.413890i | \(-0.135830\pi\) |
−0.995311 | + | 0.0967240i | \(0.969164\pi\) | |||||||
\(68\) | 1.33886 | + | 4.47942i | 0.162360 | + | 0.543210i | ||||
\(69\) | 4.20006 | + | 4.20006i | 0.505628 | + | 0.505628i | ||||
\(70\) | 3.56484 | + | 11.5643i | 0.426079 | + | 1.38220i | ||||
\(71\) | −7.48345 | −0.888122 | −0.444061 | − | 0.895997i | \(-0.646463\pi\) | ||||
−0.444061 | + | 0.895997i | \(0.646463\pi\) | |||||||
\(72\) | 8.37754 | + | 5.87444i | 0.987303 | + | 0.692309i | ||||
\(73\) | 5.65210 | − | 9.78973i | 0.661529 | − | 1.14580i | −0.318685 | − | 0.947861i | \(-0.603241\pi\) |
0.980214 | − | 0.197941i | \(-0.0634253\pi\) | |||||||
\(74\) | −1.19379 | − | 0.889159i | −0.138775 | − | 0.103363i | ||||
\(75\) | 13.5673 | + | 3.63536i | 1.56662 | + | 0.419775i | ||||
\(76\) | 7.76752 | − | 4.78626i | 0.890995 | − | 0.549022i | ||||
\(77\) | −1.38991 | + | 3.58565i | −0.158395 | + | 0.408623i | ||||
\(78\) | −12.5661 | + | 9.93142i | −1.42283 | + | 1.12451i | ||||
\(79\) | 0.706717 | − | 0.408024i | 0.0795119 | − | 0.0459062i | −0.459717 | − | 0.888066i | \(-0.652049\pi\) |
0.539229 | + | 0.842159i | \(0.318716\pi\) | |||||||
\(80\) | −12.6672 | − | 2.62744i | −1.41624 | − | 0.293757i | ||||
\(81\) | −3.38303 | + | 5.85958i | −0.375892 | + | 0.651065i | ||||
\(82\) | 3.64303 | + | 1.44823i | 0.402306 | + | 0.159930i | ||||
\(83\) | −2.65285 | − | 2.65285i | −0.291188 | − | 0.291188i | 0.546361 | − | 0.837550i | \(-0.316013\pi\) |
−0.837550 | + | 0.546361i | \(0.816013\pi\) | |||||||
\(84\) | −12.2909 | + | 5.85010i | −1.34105 | + | 0.638298i | ||||
\(85\) | −5.34597 | + | 5.34597i | −0.579852 | + | 0.579852i | ||||
\(86\) | 5.63837 | + | 13.0793i | 0.608001 | + | 1.41038i | ||||
\(87\) | 4.88857 | + | 2.82241i | 0.524109 | + | 0.302595i | ||||
\(88\) | −2.64046 | − | 3.15109i | −0.281474 | − | 0.335907i | ||||
\(89\) | 2.40944 | + | 4.17328i | 0.255400 | + | 0.442367i | 0.965004 | − | 0.262234i | \(-0.0844594\pi\) |
−0.709604 | + | 0.704601i | \(0.751126\pi\) | |||||||
\(90\) | −1.92458 | + | 16.4338i | −0.202868 | + | 1.73227i | ||||
\(91\) | −1.78445 | − | 11.5108i | −0.187061 | − | 1.20666i | ||||
\(92\) | 1.06700 | − | 4.49303i | 0.111242 | − | 0.468430i | ||||
\(93\) | 5.17929 | − | 19.3294i | 0.537068 | − | 2.00436i | ||||
\(94\) | −0.583317 | − | 3.98852i | −0.0601646 | − | 0.411384i | ||||
\(95\) | 12.7774 | + | 7.37703i | 1.31093 | + | 0.756867i | ||||
\(96\) | 0.862438 | − | 14.5264i | 0.0880223 | − | 1.48260i | ||||
\(97\) | − | 5.86541i | − | 0.595542i | −0.954637 | − | 0.297771i | \(-0.903757\pi\) | ||
0.954637 | − | 0.297771i | \(-0.0962432\pi\) | |||||||
\(98\) | 0.700112 | − | 9.87471i | 0.0707220 | − | 0.997496i | ||||
\(99\) | −3.71804 | + | 3.71804i | −0.373677 | + | 0.373677i | ||||
\(100\) | −3.12727 | − | 10.4629i | −0.312727 | − | 1.04629i | ||||
\(101\) | 1.39442 | − | 0.373632i | 0.138749 | − | 0.0371778i | −0.188776 | − | 0.982020i | \(-0.560452\pi\) |
0.327525 | + | 0.944842i | \(0.393785\pi\) | |||||||
\(102\) | −6.82031 | − | 5.07992i | −0.675311 | − | 0.502987i | ||||
\(103\) | −2.10134 | + | 1.21321i | −0.207051 | + | 0.119541i | −0.599940 | − | 0.800045i | \(-0.704809\pi\) |
0.392889 | + | 0.919586i | \(0.371476\pi\) | |||||||
\(104\) | 11.6987 | + | 4.26692i | 1.14716 | + | 0.418406i | ||||
\(105\) | −17.7658 | − | 12.9969i | −1.73376 | − | 1.26836i | ||||
\(106\) | 1.88903 | − | 16.1302i | 0.183479 | − | 1.56671i | ||||
\(107\) | 1.16493 | − | 4.34758i | 0.112618 | − | 0.420297i | −0.886480 | − | 0.462768i | \(-0.846856\pi\) |
0.999098 | + | 0.0424712i | \(0.0135231\pi\) | |||||||
\(108\) | −3.17584 | + | 0.0909797i | −0.305595 | + | 0.00875453i | ||||
\(109\) | −3.14518 | + | 0.842750i | −0.301254 | + | 0.0807208i | −0.406280 | − | 0.913749i | \(-0.633174\pi\) |
0.105026 | + | 0.994470i | \(0.466507\pi\) | |||||||
\(110\) | 2.45592 | − | 6.17788i | 0.234163 | − | 0.589038i | ||||
\(111\) | 2.70765 | 0.256998 | ||||||||
\(112\) | 8.88509 | + | 5.74936i | 0.839562 | + | 0.543264i | ||||
\(113\) | 11.5397 | 1.08556 | 0.542781 | − | 0.839875i | \(-0.317372\pi\) | ||||
0.542781 | + | 0.839875i | \(0.317372\pi\) | |||||||
\(114\) | −6.13084 | + | 15.4222i | −0.574206 | + | 1.44442i | ||||
\(115\) | 7.21331 | − | 1.93280i | 0.672645 | − | 0.180235i | ||||
\(116\) | −0.125673 | − | 4.38687i | −0.0116684 | − | 0.407311i | ||||
\(117\) | 4.12215 | − | 15.3841i | 0.381093 | − | 1.42226i | ||||
\(118\) | −0.642678 | + | 5.48777i | −0.0591633 | + | 0.505190i | ||||
\(119\) | 5.65827 | − | 2.49701i | 0.518693 | − | 0.228901i | ||||
\(120\) | 21.3341 | − | 9.93074i | 1.94752 | − | 0.906548i | ||||
\(121\) | −7.69665 | + | 4.44366i | −0.699695 | + | 0.403969i | ||||
\(122\) | −16.3266 | − | 12.1604i | −1.47814 | − | 1.10095i | ||||
\(123\) | −6.88811 | + | 1.84566i | −0.621080 | + | 0.166418i | ||||
\(124\) | −14.9065 | + | 4.45542i | −1.33864 | + | 0.400108i | ||||
\(125\) | 1.05228 | − | 1.05228i | 0.0941192 | − | 0.0941192i | ||||
\(126\) | 6.32691 | − | 11.9659i | 0.563646 | − | 1.06600i | ||||
\(127\) | − | 4.49210i | − | 0.398610i | −0.979938 | − | 0.199305i | \(-0.936132\pi\) | ||
0.979938 | − | 0.199305i | \(-0.0638684\pi\) | |||||||
\(128\) | −9.96677 | + | 5.35383i | −0.880946 | + | 0.473216i | ||||
\(129\) | −22.4368 | − | 12.9539i | −1.97545 | − | 1.14053i | ||||
\(130\) | 2.91404 | + | 19.9252i | 0.255579 | + | 1.74756i | ||||
\(131\) | −3.58012 | + | 13.3612i | −0.312796 | + | 1.16737i | 0.613227 | + | 0.789907i | \(0.289871\pi\) |
−0.926024 | + | 0.377465i | \(0.876796\pi\) | |||||||
\(132\) | 7.27581 | + | 1.72785i | 0.633278 | + | 0.150390i | ||||
\(133\) | −7.56482 | − | 9.40469i | −0.655953 | − | 0.815490i | ||||
\(134\) | 0.442115 | − | 3.77518i | 0.0381929 | − | 0.326126i | ||||
\(135\) | −2.56889 | − | 4.44945i | −0.221095 | − | 0.382947i | ||||
\(136\) | −0.580692 | + | 6.58622i | −0.0497939 | + | 0.564764i | ||||
\(137\) | 2.18423 | + | 1.26106i | 0.186611 | + | 0.107740i | 0.590395 | − | 0.807114i | \(-0.298972\pi\) |
−0.403784 | + | 0.914854i | \(0.632305\pi\) | |||||||
\(138\) | 3.32538 | + | 7.71387i | 0.283075 | + | 0.656648i | ||||
\(139\) | −6.00381 | + | 6.00381i | −0.509237 | + | 0.509237i | −0.914292 | − | 0.405055i | \(-0.867252\pi\) |
0.405055 | + | 0.914292i | \(0.367252\pi\) | |||||||
\(140\) | −1.35674 | + | 17.0600i | −0.114666 | + | 1.44183i | ||||
\(141\) | 5.18472 | + | 5.18472i | 0.436632 | + | 0.436632i | ||||
\(142\) | −9.83459 | − | 3.90959i | −0.825300 | − | 0.328085i | ||||
\(143\) | −3.19964 | + | 5.54195i | −0.267568 | + | 0.463441i | ||||
\(144\) | 7.94060 | + | 12.0968i | 0.661717 | + | 1.00806i | ||||
\(145\) | 6.14613 | − | 3.54847i | 0.510409 | − | 0.294685i | ||||
\(146\) | 12.5423 | − | 9.91262i | 1.03801 | − | 0.820374i | ||||
\(147\) | 9.70812 | + | 15.1661i | 0.800713 | + | 1.25088i | ||||
\(148\) | −1.10433 | − | 1.79219i | −0.0907750 | − | 0.147317i | ||||
\(149\) | 8.20870 | + | 2.19951i | 0.672483 | + | 0.180191i | 0.578873 | − | 0.815418i | \(-0.303493\pi\) |
0.0936097 | + | 0.995609i | \(0.470159\pi\) | |||||||
\(150\) | 15.9307 | + | 11.8655i | 1.30073 | + | 0.968815i | ||||
\(151\) | 5.11927 | − | 8.86683i | 0.416600 | − | 0.721572i | −0.578995 | − | 0.815331i | \(-0.696555\pi\) |
0.995595 | + | 0.0937588i | \(0.0298882\pi\) | |||||||
\(152\) | 12.7084 | − | 2.23201i | 1.03079 | − | 0.181040i | ||||
\(153\) | 8.45639 | 0.683659 | ||||||||
\(154\) | −3.69985 | + | 3.98605i | −0.298143 | + | 0.321205i | ||||
\(155\) | −17.7902 | − | 17.7902i | −1.42894 | − | 1.42894i | ||||
\(156\) | −21.7026 | + | 6.48672i | −1.73760 | + | 0.519353i | ||||
\(157\) | 3.79998 | + | 14.1817i | 0.303272 | + | 1.13183i | 0.934423 | + | 0.356166i | \(0.115916\pi\) |
−0.631151 | + | 0.775660i | \(0.717417\pi\) | |||||||
\(158\) | 1.14192 | − | 0.167004i | 0.0908461 | − | 0.0132861i | ||||
\(159\) | 14.7707 | + | 25.5836i | 1.17139 | + | 2.02892i | ||||
\(160\) | −15.2743 | − | 10.0707i | −1.20754 | − | 0.796157i | ||||
\(161\) | −6.07342 | − | 0.658494i | −0.478653 | − | 0.0518966i | ||||
\(162\) | −7.50714 | + | 5.93313i | −0.589816 | + | 0.466151i | ||||
\(163\) | 22.2047 | + | 5.94974i | 1.73921 | + | 0.466019i | 0.982271 | − | 0.187468i | \(-0.0600282\pi\) |
0.756937 | + | 0.653488i | \(0.226695\pi\) | |||||||
\(164\) | 4.03099 | + | 3.80647i | 0.314768 | + | 0.297235i | ||||
\(165\) | 3.12989 | + | 11.6809i | 0.243662 | + | 0.909358i | ||||
\(166\) | −2.10039 | − | 4.87225i | −0.163022 | − | 0.378160i | ||||
\(167\) | 3.82099i | 0.295677i | 0.989011 | + | 0.147839i | \(0.0472316\pi\) | ||||
−0.989011 | + | 0.147839i | \(0.952768\pi\) | |||||||
\(168\) | −19.2088 | + | 1.26690i | −1.48199 | + | 0.0977434i | ||||
\(169\) | − | 6.38341i | − | 0.491032i | ||||||
\(170\) | −9.81846 | + | 4.23265i | −0.753041 | + | 0.324630i | ||||
\(171\) | −4.27121 | − | 15.9404i | −0.326628 | − | 1.21899i | ||||
\(172\) | 0.576792 | + | 20.1342i | 0.0439800 | + | 1.53522i | ||||
\(173\) | 8.02996 | + | 2.15162i | 0.610506 | + | 0.163585i | 0.550808 | − | 0.834632i | \(-0.314320\pi\) |
0.0596981 | + | 0.998216i | \(0.480986\pi\) | |||||||
\(174\) | 4.94993 | + | 6.26310i | 0.375253 | + | 0.474804i | ||||
\(175\) | −13.2164 | + | 5.83245i | −0.999067 | + | 0.440892i | ||||
\(176\) | −1.82381 | − | 5.52056i | −0.137475 | − | 0.416128i | ||||
\(177\) | −5.02524 | − | 8.70397i | −0.377720 | − | 0.654230i | ||||
\(178\) | 0.986187 | + | 6.74320i | 0.0739178 | + | 0.505424i | ||||
\(179\) | −5.00112 | − | 18.6644i | −0.373801 | − | 1.39504i | −0.855089 | − | 0.518482i | \(-0.826497\pi\) |
0.481288 | − | 0.876563i | \(-0.340169\pi\) | |||||||
\(180\) | −11.1148 | + | 20.5915i | −0.828446 | + | 1.53480i | ||||
\(181\) | 6.07189 | + | 6.07189i | 0.451320 | + | 0.451320i | 0.895793 | − | 0.444472i | \(-0.146609\pi\) |
−0.444472 | + | 0.895793i | \(0.646609\pi\) | |||||||
\(182\) | 3.66854 | − | 16.0596i | 0.271931 | − | 1.19041i | ||||
\(183\) | 37.0306 | 2.73738 | ||||||||
\(184\) | 3.74953 | − | 5.34720i | 0.276419 | − | 0.394201i | ||||
\(185\) | 1.70209 | − | 2.94810i | 0.125140 | − | 0.216749i | ||||
\(186\) | 16.9048 | − | 22.6964i | 1.23952 | − | 1.66418i | ||||
\(187\) | −3.28196 | − | 0.879398i | −0.240001 | − | 0.0643080i | ||||
\(188\) | 1.31715 | − | 5.54637i | 0.0960627 | − | 0.404511i | ||||
\(189\) | 0.643867 | + | 4.15336i | 0.0468344 | + | 0.302112i | ||||
\(190\) | 12.9378 | + | 16.3700i | 0.938605 | + | 1.18761i | ||||
\(191\) | −13.1707 | + | 7.60410i | −0.952997 | + | 0.550213i | −0.894011 | − | 0.448046i | \(-0.852120\pi\) |
−0.0589865 | + | 0.998259i | \(0.518787\pi\) | |||||||
\(192\) | 8.72246 | − | 18.6398i | 0.629490 | − | 1.34521i | ||||
\(193\) | −11.2397 | + | 19.4678i | −0.809053 | + | 1.40132i | 0.104468 | + | 0.994528i | \(0.466686\pi\) |
−0.913521 | + | 0.406792i | \(0.866647\pi\) | |||||||
\(194\) | 3.06428 | − | 7.70820i | 0.220002 | − | 0.553416i | ||||
\(195\) | −25.9010 | − | 25.9010i | −1.85481 | − | 1.85481i | ||||
\(196\) | 6.07893 | − | 12.6114i | 0.434209 | − | 0.900812i | ||||
\(197\) | −8.31581 | + | 8.31581i | −0.592477 | + | 0.592477i | −0.938300 | − | 0.345823i | \(-0.887600\pi\) |
0.345823 | + | 0.938300i | \(0.387600\pi\) | |||||||
\(198\) | −6.82859 | + | 2.94375i | −0.485286 | + | 0.209203i | ||||
\(199\) | 8.85088 | + | 5.11006i | 0.627422 | + | 0.362242i | 0.779753 | − | 0.626087i | \(-0.215345\pi\) |
−0.152331 | + | 0.988330i | \(0.548678\pi\) | |||||||
\(200\) | 1.35636 | − | 15.3839i | 0.0959093 | − | 1.08781i | ||||
\(201\) | 3.45699 | + | 5.98769i | 0.243837 | + | 0.422339i | ||||
\(202\) | 2.02771 | + | 0.237467i | 0.142669 | + | 0.0167081i | ||||
\(203\) | −5.73713 | + | 0.889390i | −0.402668 | + | 0.0624229i | ||||
\(204\) | −6.30920 | − | 10.2391i | −0.441732 | − | 0.716878i | ||||
\(205\) | −2.32046 | + | 8.66006i | −0.162068 | + | 0.604845i | ||||
\(206\) | −3.39535 | + | 0.496567i | −0.236565 | + | 0.0345974i | ||||
\(207\) | −7.23378 | − | 4.17642i | −0.502782 | − | 0.290282i | ||||
\(208\) | 13.1451 | + | 11.7193i | 0.911446 | + | 0.812587i | ||||
\(209\) | 6.63070i | 0.458655i | ||||||||
\(210\) | −16.5574 | − | 26.3616i | −1.14257 | − | 1.81912i | ||||
\(211\) | 5.73766 | − | 5.73766i | 0.394997 | − | 0.394997i | −0.481467 | − | 0.876464i | \(-0.659896\pi\) |
0.876464 | + | 0.481467i | \(0.159896\pi\) | |||||||
\(212\) | 10.9095 | − | 20.2111i | 0.749265 | − | 1.38811i | ||||
\(213\) | 18.5949 | − | 4.98248i | 1.27410 | − | 0.341394i | ||||
\(214\) | 3.80224 | − | 5.10490i | 0.259916 | − | 0.348964i | ||||
\(215\) | −28.2086 | + | 16.2862i | −1.92381 | + | 1.11071i | ||||
\(216\) | −4.22115 | − | 1.53960i | −0.287213 | − | 0.104756i | ||||
\(217\) | 8.30949 | + | 18.8294i | 0.564085 | + | 1.27822i | ||||
\(218\) | −4.57361 | − | 0.535620i | −0.309764 | − | 0.0362768i | ||||
\(219\) | −7.52635 | + | 28.0887i | −0.508583 | + | 1.89806i | ||||
\(220\) | 6.45504 | − | 6.83579i | 0.435199 | − | 0.460869i | ||||
\(221\) | 9.94104 | − | 2.66369i | 0.668706 | − | 0.179179i | ||||
\(222\) | 3.55833 | + | 1.41456i | 0.238819 | + | 0.0949390i | ||||
\(223\) | −17.4929 | −1.17141 | −0.585705 | − | 0.810524i | \(-0.699182\pi\) | ||||
−0.585705 | + | 0.810524i | \(0.699182\pi\) | |||||||
\(224\) | 8.67294 | + | 12.1975i | 0.579485 | + | 0.814983i | ||||
\(225\) | −19.7522 | −1.31681 | ||||||||
\(226\) | 15.1652 | + | 6.02869i | 1.00877 | + | 0.401022i | ||||
\(227\) | −16.9291 | + | 4.53614i | −1.12362 | + | 0.301074i | −0.772349 | − | 0.635198i | \(-0.780919\pi\) |
−0.351275 | + | 0.936272i | \(0.614252\pi\) | |||||||
\(228\) | −16.1140 | + | 17.0645i | −1.06718 | + | 1.13013i | ||||
\(229\) | 1.80926 | − | 6.75227i | 0.119560 | − | 0.446202i | −0.880028 | − | 0.474922i | \(-0.842476\pi\) |
0.999588 | + | 0.0287195i | \(0.00914296\pi\) | |||||||
\(230\) | 10.4893 | + | 1.22842i | 0.691646 | + | 0.0809993i | ||||
\(231\) | 1.06634 | − | 9.83503i | 0.0701597 | − | 0.647098i | ||||
\(232\) | 2.12668 | − | 5.83078i | 0.139624 | − | 0.382810i | ||||
\(233\) | −25.0933 | + | 14.4876i | −1.64392 | + | 0.949116i | −0.664495 | + | 0.747293i | \(0.731353\pi\) |
−0.979422 | + | 0.201823i | \(0.935313\pi\) | |||||||
\(234\) | 13.4544 | − | 18.0639i | 0.879539 | − | 1.18087i | ||||
\(235\) | 8.90440 | − | 2.38593i | 0.580859 | − | 0.155641i | ||||
\(236\) | −3.71158 | + | 6.87615i | −0.241603 | + | 0.447599i | ||||
\(237\) | −1.48439 | + | 1.48439i | −0.0964215 | + | 0.0964215i | ||||
\(238\) | 8.74049 | − | 0.325465i | 0.566562 | − | 0.0210967i | ||||
\(239\) | − | 13.3587i | − | 0.864105i | −0.901848 | − | 0.432053i | \(-0.857789\pi\) | ||
0.901848 | − | 0.432053i | \(-0.142211\pi\) | |||||||
\(240\) | 33.2249 | − | 1.90518i | 2.14466 | − | 0.122979i | ||||
\(241\) | 10.5510 | + | 6.09164i | 0.679651 | + | 0.392397i | 0.799724 | − | 0.600368i | \(-0.204979\pi\) |
−0.120072 | + | 0.992765i | \(0.538313\pi\) | |||||||
\(242\) | −12.4363 | + | 1.81879i | −0.799434 | + | 0.116916i | ||||
\(243\) | 5.73831 | − | 21.4157i | 0.368113 | − | 1.37381i | ||||
\(244\) | −15.1031 | − | 24.5105i | −0.966877 | − | 1.56912i | ||||
\(245\) | 22.6157 | − | 1.03650i | 1.44487 | − | 0.0662195i | ||||
\(246\) | −10.0164 | − | 1.17304i | −0.638625 | − | 0.0747900i | ||||
\(247\) | −10.0422 | − | 17.3936i | −0.638969 | − | 1.10673i | ||||
\(248\) | −21.9174 | − | 1.93241i | −1.39176 | − | 0.122708i | ||||
\(249\) | 8.35808 | + | 4.82554i | 0.529672 | + | 0.305806i | ||||
\(250\) | 1.93264 | − | 0.833143i | 0.122231 | − | 0.0526926i | ||||
\(251\) | 6.68926 | − | 6.68926i | 0.422223 | − | 0.422223i | −0.463746 | − | 0.885968i | \(-0.653495\pi\) |
0.885968 | + | 0.463746i | \(0.153495\pi\) | |||||||
\(252\) | 14.5660 | − | 12.4199i | 0.917573 | − | 0.782380i | ||||
\(253\) | 2.37314 | + | 2.37314i | 0.149198 | + | 0.149198i | ||||
\(254\) | 2.34682 | − | 5.90343i | 0.147252 | − | 0.370414i | ||||
\(255\) | 9.72432 | − | 16.8430i | 0.608961 | − | 1.05475i | ||||
\(256\) | −15.8951 | + | 1.82893i | −0.993445 | + | 0.114308i | ||||
\(257\) | 3.32837 | − | 1.92163i | 0.207618 | − | 0.119868i | −0.392586 | − | 0.919715i | \(-0.628419\pi\) |
0.600204 | + | 0.799847i | \(0.295086\pi\) | |||||||
\(258\) | −22.7184 | − | 28.7454i | −1.41439 | − | 1.78961i | ||||
\(259\) | −2.16993 | + | 1.74542i | −0.134833 | + | 0.108455i | ||||
\(260\) | −6.57999 | + | 27.7077i | −0.408074 | + | 1.71836i | ||||
\(261\) | −7.66759 | − | 2.05452i | −0.474612 | − | 0.127172i | ||||
\(262\) | −11.6852 | + | 15.6886i | −0.721915 | + | 0.969246i | ||||
\(263\) | 3.15784 | − | 5.46953i | 0.194720 | − | 0.337266i | −0.752088 | − | 0.659062i | \(-0.770953\pi\) |
0.946809 | + | 0.321797i | \(0.104287\pi\) | |||||||
\(264\) | 8.65903 | + | 6.07181i | 0.532926 | + | 0.373694i | ||||
\(265\) | 37.1409 | 2.28155 | ||||||||
\(266\) | −5.02822 | − | 16.3115i | −0.308300 | − | 1.00012i | ||||
\(267\) | −8.76556 | − | 8.76556i | −0.536444 | − | 0.536444i | ||||
\(268\) | 2.55329 | − | 4.73028i | 0.155967 | − | 0.288948i | ||||
\(269\) | −6.24090 | − | 23.2914i | −0.380514 | − | 1.42010i | −0.845118 | − | 0.534580i | \(-0.820470\pi\) |
0.464603 | − | 0.885519i | \(-0.346197\pi\) | |||||||
\(270\) | −1.05145 | − | 7.18944i | −0.0639891 | − | 0.437535i | ||||
\(271\) | 4.73315 | + | 8.19805i | 0.287518 | + | 0.497996i | 0.973217 | − | 0.229890i | \(-0.0738365\pi\) |
−0.685699 | + | 0.727886i | \(0.740503\pi\) | |||||||
\(272\) | −4.20398 | + | 8.35210i | −0.254904 | + | 0.506420i | ||||
\(273\) | 12.0979 | + | 27.4141i | 0.732200 | + | 1.65918i | ||||
\(274\) | 2.21165 | + | 2.79837i | 0.133610 | + | 0.169056i | ||||
\(275\) | 7.66590 | + | 2.05407i | 0.462271 | + | 0.123865i | ||||
\(276\) | 0.340179 | + | 11.8747i | 0.0204764 | + | 0.714772i | ||||
\(277\) | −3.03526 | − | 11.3278i | −0.182371 | − | 0.680619i | −0.995178 | − | 0.0980853i | \(-0.968728\pi\) |
0.812807 | − | 0.582533i | \(-0.197938\pi\) | |||||||
\(278\) | −11.0267 | + | 4.75350i | −0.661335 | + | 0.285096i | ||||
\(279\) | 28.1409i | 1.68475i | ||||||||
\(280\) | −10.6957 | + | 21.7111i | −0.639189 | + | 1.29748i | ||||
\(281\) | 5.59517i | 0.333780i | 0.985976 | + | 0.166890i | \(0.0533724\pi\) | ||||
−0.985976 | + | 0.166890i | \(0.946628\pi\) | |||||||
\(282\) | 4.10499 | + | 9.52231i | 0.244448 | + | 0.567045i | ||||
\(283\) | 0.992910 | + | 3.70559i | 0.0590224 | + | 0.220275i | 0.989137 | − | 0.146994i | \(-0.0469597\pi\) |
−0.930115 | + | 0.367268i | \(0.880293\pi\) | |||||||
\(284\) | −10.8819 | − | 10.2758i | −0.645723 | − | 0.609756i | ||||
\(285\) | −36.6609 | − | 9.82326i | −2.17160 | − | 0.581880i | ||||
\(286\) | −7.10019 | + | 5.61151i | −0.419843 | + | 0.331816i | ||||
\(287\) | 4.33042 | − | 5.91938i | 0.255617 | − | 0.349410i | ||||
\(288\) | 4.11564 | + | 20.0457i | 0.242516 | + | 1.18120i | ||||
\(289\) | −5.76778 | − | 9.99009i | −0.339281 | − | 0.587652i | ||||
\(290\) | 9.93095 | − | 1.45239i | 0.583165 | − | 0.0852874i | ||||
\(291\) | 3.90519 | + | 14.5744i | 0.228927 | + | 0.854365i | ||||
\(292\) | 21.6615 | − | 6.47444i | 1.26765 | − | 0.378888i | ||||
\(293\) | −9.74731 | − | 9.74731i | −0.569444 | − | 0.569444i | 0.362529 | − | 0.931973i | \(-0.381913\pi\) |
−0.931973 | + | 0.362529i | \(0.881913\pi\) | |||||||
\(294\) | 4.83495 | + | 25.0028i | 0.281980 | + | 1.45819i | ||||
\(295\) | −12.6359 | −0.735692 | ||||||||
\(296\) | −0.514987 | − | 2.93219i | −0.0299330 | − | 0.170430i | ||||
\(297\) | 1.15450 | − | 1.99965i | 0.0669908 | − | 0.116031i | ||||
\(298\) | 9.63860 | + | 7.17904i | 0.558349 | + | 0.415870i | ||||
\(299\) | −9.81932 | − | 2.63108i | −0.567866 | − | 0.152159i | ||||
\(300\) | 14.7368 | + | 23.9161i | 0.850832 | + | 1.38080i | ||||
\(301\) | 26.3314 | − | 4.08198i | 1.51772 | − | 0.235282i | ||||
\(302\) | 11.3599 | − | 8.97813i | 0.653691 | − | 0.516633i | ||||
\(303\) | −3.21608 | + | 1.85681i | −0.184759 | + | 0.106671i | ||||
\(304\) | 17.8672 | + | 3.70601i | 1.02475 | + | 0.212555i | ||||
\(305\) | 23.2783 | − | 40.3192i | 1.33291 | − | 2.30867i | ||||
\(306\) | 11.1132 | + | 4.41789i | 0.635300 | + | 0.252554i | ||||
\(307\) | 20.5735 | + | 20.5735i | 1.17419 | + | 1.17419i | 0.981201 | + | 0.192988i | \(0.0618178\pi\) |
0.192988 | + | 0.981201i | \(0.438182\pi\) | |||||||
\(308\) | −6.94470 | + | 3.30546i | −0.395711 | + | 0.188346i | ||||
\(309\) | 4.41365 | − | 4.41365i | 0.251084 | − | 0.251084i | ||||
\(310\) | −14.0853 | − | 32.6736i | −0.799992 | − | 1.85574i | ||||
\(311\) | 0.495271 | + | 0.285945i | 0.0280843 | + | 0.0162145i | 0.513976 | − | 0.857804i | \(-0.328172\pi\) |
−0.485892 | + | 0.874019i | \(0.661505\pi\) | |||||||
\(312\) | −31.9100 | − | 2.81343i | −1.80655 | − | 0.159279i | ||||
\(313\) | −0.707287 | − | 1.22506i | −0.0399782 | − | 0.0692443i | 0.845344 | − | 0.534222i | \(-0.179396\pi\) |
−0.885322 | + | 0.464978i | \(0.846062\pi\) | |||||||
\(314\) | −2.41513 | + | 20.6226i | −0.136294 | + | 1.16380i | ||||
\(315\) | 28.8624 | + | 11.1880i | 1.62621 | + | 0.630372i | ||||
\(316\) | 1.58793 | + | 0.377100i | 0.0893281 | + | 0.0212135i | ||||
\(317\) | 6.77681 | − | 25.2914i | 0.380624 | − | 1.42051i | −0.464328 | − | 0.885663i | \(-0.653704\pi\) |
0.844951 | − | 0.534843i | \(-0.179629\pi\) | |||||||
\(318\) | 6.04567 | + | 41.3382i | 0.339024 | + | 2.31813i | ||||
\(319\) | 2.76217 | + | 1.59474i | 0.154652 | + | 0.0892882i | ||||
\(320\) | −14.8120 | − | 21.2145i | −0.828014 | − | 1.18593i | ||||
\(321\) | 11.5785i | 0.646248i | ||||||||
\(322\) | −7.63755 | − | 4.03833i | −0.425624 | − | 0.225047i | ||||
\(323\) | 7.54051 | − | 7.54051i | 0.419565 | − | 0.419565i | ||||
\(324\) | −12.9654 | + | 3.87523i | −0.720299 | + | 0.215291i | ||||
\(325\) | −23.2200 | + | 6.22177i | −1.28801 | + | 0.345122i | ||||
\(326\) | 26.0726 | + | 19.4195i | 1.44403 | + | 1.07554i | ||||
\(327\) | 7.25406 | − | 4.18813i | 0.401150 | − | 0.231604i | ||||
\(328\) | 3.30882 | + | 7.10830i | 0.182699 | + | 0.392490i | ||||
\(329\) | −7.49728 | − | 0.812871i | −0.413338 | − | 0.0448150i | ||||
\(330\) | −1.98924 | + | 16.9860i | −0.109504 | + | 0.935046i | ||||
\(331\) | −0.727156 | + | 2.71378i | −0.0399681 | + | 0.149163i | −0.983026 | − | 0.183465i | \(-0.941269\pi\) |
0.943058 | + | 0.332628i | \(0.107935\pi\) | |||||||
\(332\) | −0.214865 | − | 7.50032i | −0.0117922 | − | 0.411633i | ||||
\(333\) | −3.67790 | + | 0.985490i | −0.201548 | + | 0.0540045i | ||||
\(334\) | −1.99621 | + | 5.02147i | −0.109228 | + | 0.274763i | ||||
\(335\) | 8.69259 | 0.474927 | ||||||||
\(336\) | −25.9056 | − | 8.37033i | −1.41327 | − | 0.456639i | ||||
\(337\) | −23.9205 | −1.30303 | −0.651517 | − | 0.758634i | \(-0.725867\pi\) | ||||
−0.651517 | + | 0.758634i | \(0.725867\pi\) | |||||||
\(338\) | 3.33490 | − | 8.38894i | 0.181394 | − | 0.456298i | ||||
\(339\) | −28.6738 | + | 7.68312i | −1.55735 | + | 0.417290i | ||||
\(340\) | −15.1145 | + | 0.432991i | −0.819698 | + | 0.0234822i | ||||
\(341\) | 2.92644 | − | 10.9216i | 0.158475 | − | 0.591438i | ||||
\(342\) | 2.71462 | − | 23.1799i | 0.146790 | − | 1.25343i | ||||
\(343\) | −17.5566 | − | 5.89614i | −0.947969 | − | 0.318362i | ||||
\(344\) | −9.76072 | + | 26.7612i | −0.526263 | + | 1.44287i | ||||
\(345\) | −16.6368 | + | 9.60525i | −0.895695 | + | 0.517130i | ||||
\(346\) | 9.42872 | + | 7.02272i | 0.506891 | + | 0.377544i | ||||
\(347\) | 12.0814 | − | 3.23720i | 0.648563 | − | 0.173782i | 0.0804837 | − | 0.996756i | \(-0.474353\pi\) |
0.568079 | + | 0.822974i | \(0.307687\pi\) | |||||||
\(348\) | 3.23305 | + | 10.8168i | 0.173310 | + | 0.579843i | ||||
\(349\) | −21.9157 | + | 21.9157i | −1.17312 | + | 1.17312i | −0.191662 | + | 0.981461i | \(0.561388\pi\) |
−0.981461 | + | 0.191662i | \(0.938612\pi\) | |||||||
\(350\) | −20.4158 | + | 0.760211i | −1.09127 | + | 0.0406350i | ||||
\(351\) | 6.99394i | 0.373309i | ||||||||
\(352\) | 0.487300 | − | 8.20781i | 0.0259732 | − | 0.437478i | ||||
\(353\) | −18.1984 | − | 10.5069i | −0.968604 | − | 0.559224i | −0.0697939 | − | 0.997561i | \(-0.522234\pi\) |
−0.898810 | + | 0.438337i | \(0.855567\pi\) | |||||||
\(354\) | −2.05683 | − | 14.0639i | −0.109319 | − | 0.747489i | ||||
\(355\) | 6.26421 | − | 23.3784i | 0.332470 | − | 1.24079i | ||||
\(356\) | −2.22684 | + | 9.37699i | −0.118022 | + | 0.496979i | ||||
\(357\) | −12.3972 | + | 9.97186i | −0.656127 | + | 0.527767i | ||||
\(358\) | 3.17852 | − | 27.1411i | 0.167990 | − | 1.43445i | ||||
\(359\) | 4.78310 | + | 8.28458i | 0.252443 | + | 0.437243i | 0.964198 | − | 0.265184i | \(-0.0854328\pi\) |
−0.711755 | + | 0.702428i | \(0.752099\pi\) | |||||||
\(360\) | −25.3644 | + | 21.2542i | −1.33682 | + | 1.12019i | ||||
\(361\) | −1.56807 | − | 0.905328i | −0.0825302 | − | 0.0476488i | ||||
\(362\) | 4.80740 | + | 11.1517i | 0.252671 | + | 0.586120i | ||||
\(363\) | 16.1661 | − | 16.1661i | 0.848498 | − | 0.848498i | ||||
\(364\) | 13.2111 | − | 19.1886i | 0.692452 | − | 1.00575i | ||||
\(365\) | 25.8520 | + | 25.8520i | 1.35315 | + | 1.35315i | ||||
\(366\) | 48.6648 | + | 19.3459i | 2.54375 | + | 1.01123i | ||||
\(367\) | 3.06305 | − | 5.30536i | 0.159890 | − | 0.276938i | −0.774939 | − | 0.632036i | \(-0.782219\pi\) |
0.934829 | + | 0.355099i | \(0.115553\pi\) | |||||||
\(368\) | 7.72109 | − | 5.06831i | 0.402490 | − | 0.264204i | ||||
\(369\) | 8.68463 | − | 5.01408i | 0.452104 | − | 0.261022i | ||||
\(370\) | 3.77703 | − | 2.98511i | 0.196359 | − | 0.155189i | ||||
\(371\) | −28.3292 | − | 10.9813i | −1.47078 | − | 0.570123i | ||||
\(372\) | 34.0733 | − | 20.9956i | 1.76662 | − | 1.08857i | ||||
\(373\) | 15.8673 | + | 4.25162i | 0.821575 | + | 0.220140i | 0.645035 | − | 0.764153i | \(-0.276843\pi\) |
0.176540 | + | 0.984293i | \(0.443509\pi\) | |||||||
\(374\) | −3.85365 | − | 2.87028i | −0.199268 | − | 0.148419i | ||||
\(375\) | −1.91411 | + | 3.31533i | −0.0988440 | + | 0.171203i | ||||
\(376\) | 4.62856 | − | 6.60080i | 0.238700 | − | 0.340410i | ||||
\(377\) | −9.66091 | −0.497562 | ||||||||
\(378\) | −1.32369 | + | 5.79463i | −0.0680831 | + | 0.298043i | ||||
\(379\) | 6.05253 | + | 6.05253i | 0.310897 | + | 0.310897i | 0.845257 | − | 0.534360i | \(-0.179447\pi\) |
−0.534360 | + | 0.845257i | \(0.679447\pi\) | |||||||
\(380\) | 8.45032 | + | 28.2723i | 0.433492 | + | 1.45034i | ||||
\(381\) | 2.99085 | + | 11.1620i | 0.153226 | + | 0.571846i | ||||
\(382\) | −21.2813 | + | 3.11236i | −1.08884 | + | 0.159242i | ||||
\(383\) | −9.64030 | − | 16.6975i | −0.492596 | − | 0.853202i | 0.507367 | − | 0.861730i | \(-0.330619\pi\) |
−0.999964 | + | 0.00852805i | \(0.997285\pi\) | |||||||
\(384\) | 21.2009 | − | 19.9391i | 1.08190 | − | 1.01751i | ||||
\(385\) | −10.0381 | − | 7.34357i | −0.511591 | − | 0.374263i | ||||
\(386\) | −24.9416 | + | 19.7121i | −1.26949 | + | 1.00332i | ||||
\(387\) | 35.1915 | + | 9.42954i | 1.78889 | + | 0.479330i | ||||
\(388\) | 8.05401 | − | 8.52907i | 0.408880 | − | 0.432998i | ||||
\(389\) | 7.40814 | + | 27.6476i | 0.375608 | + | 1.40179i | 0.852455 | + | 0.522801i | \(0.175113\pi\) |
−0.476847 | + | 0.878986i | \(0.658221\pi\) | |||||||
\(390\) | −20.5070 | − | 47.5700i | −1.03841 | − | 2.40880i | ||||
\(391\) | − | 5.39753i | − | 0.272965i | ||||||
\(392\) | 14.5774 | − | 13.3978i | 0.736269 | − | 0.676689i | ||||
\(393\) | − | 35.5835i | − | 1.79495i | ||||||
\(394\) | −15.2729 | + | 6.58402i | −0.769438 | + | 0.331698i | ||||
\(395\) | 0.683093 | + | 2.54934i | 0.0343701 | + | 0.128271i | ||||
\(396\) | −10.5119 | + | 0.301139i | −0.528242 | + | 0.0151328i | ||||
\(397\) | −8.95799 | − | 2.40028i | −0.449588 | − | 0.120467i | 0.0269184 | − | 0.999638i | \(-0.491431\pi\) |
−0.476507 | + | 0.879171i | \(0.658097\pi\) | |||||||
\(398\) | 8.96198 | + | 11.3395i | 0.449223 | + | 0.568398i | ||||
\(399\) | 25.0587 | + | 18.3321i | 1.25451 | + | 0.917754i | ||||
\(400\) | 9.81954 | − | 19.5086i | 0.490977 | − | 0.975429i | ||||
\(401\) | 17.5281 | + | 30.3596i | 0.875312 | + | 1.51609i | 0.856430 | + | 0.516264i | \(0.172678\pi\) |
0.0188827 | + | 0.999822i | \(0.493989\pi\) | |||||||
\(402\) | 1.41495 | + | 9.67493i | 0.0705713 | + | 0.482542i | ||||
\(403\) | 8.86416 | + | 33.0815i | 0.441555 | + | 1.64791i | ||||
\(404\) | 2.54071 | + | 1.37141i | 0.126405 | + | 0.0682303i | ||||
\(405\) | −15.4735 | − | 15.4735i | −0.768886 | − | 0.768886i | ||||
\(406\) | −8.00426 | − | 1.82844i | −0.397245 | − | 0.0907441i | ||||
\(407\) | 1.52989 | 0.0758338 | ||||||||
\(408\) | −2.94221 | − | 16.7521i | −0.145661 | − | 0.829352i | ||||
\(409\) | 17.4392 | − | 30.2056i | 0.862314 | − | 1.49357i | −0.00737621 | − | 0.999973i | \(-0.502348\pi\) |
0.869690 | − | 0.493598i | \(-0.164319\pi\) | |||||||
\(410\) | −7.57378 | + | 10.1686i | −0.374042 | + | 0.502191i | ||||
\(411\) | −6.26699 | − | 1.67923i | −0.309128 | − | 0.0828306i | ||||
\(412\) | −4.72152 | − | 1.12126i | −0.232613 | − | 0.0552406i | ||||
\(413\) | 9.63807 | + | 3.73603i | 0.474258 | + | 0.183838i | ||||
\(414\) | −7.32458 | − | 9.26772i | −0.359984 | − | 0.455484i | ||||
\(415\) | 10.5082 | − | 6.06689i | 0.515826 | − | 0.297812i | ||||
\(416\) | 11.1524 | + | 22.2686i | 0.546793 | + | 1.09181i | ||||
\(417\) | 10.9209 | − | 18.9156i | 0.534801 | − | 0.926302i | ||||
\(418\) | −3.46409 | + | 8.71392i | −0.169434 | + | 0.426212i | ||||
\(419\) | −8.57828 | − | 8.57828i | −0.419076 | − | 0.419076i | 0.465809 | − | 0.884885i | \(-0.345763\pi\) |
−0.884885 | + | 0.465809i | \(0.845763\pi\) | |||||||
\(420\) | −7.98731 | − | 43.2940i | −0.389741 | − | 2.11253i | ||||
\(421\) | −7.41183 | + | 7.41183i | −0.361230 | + | 0.361230i | −0.864266 | − | 0.503035i | \(-0.832217\pi\) |
0.503035 | + | 0.864266i | \(0.332217\pi\) | |||||||
\(422\) | 10.5379 | − | 4.54278i | 0.512975 | − | 0.221139i | ||||
\(423\) | −8.92967 | − | 5.15555i | −0.434175 | − | 0.250671i | ||||
\(424\) | 24.8959 | − | 20.8616i | 1.20905 | − | 1.01313i | ||||
\(425\) | −6.38184 | − | 11.0537i | −0.309565 | − | 0.536182i | ||||
\(426\) | 27.0400 | + | 3.16668i | 1.31009 | + | 0.153426i | ||||
\(427\) | −29.6766 | + | 23.8709i | −1.43615 | + | 1.15519i | ||||
\(428\) | 7.66379 | − | 4.72234i | 0.370443 | − | 0.228263i | ||||
\(429\) | 4.26065 | − | 15.9010i | 0.205706 | − | 0.767706i | ||||
\(430\) | −45.5795 | + | 6.66596i | −2.19804 | + | 0.321461i | ||||
\(431\) | 1.39637 | + | 0.806195i | 0.0672608 | + | 0.0388331i | 0.533253 | − | 0.845956i | \(-0.320969\pi\) |
−0.465992 | + | 0.884789i | \(0.654303\pi\) | |||||||
\(432\) | −4.74302 | − | 4.22857i | −0.228198 | − | 0.203447i | ||||
\(433\) | − | 13.0869i | − | 0.628917i | −0.949271 | − | 0.314458i | \(-0.898177\pi\) | ||
0.949271 | − | 0.314458i | \(-0.101823\pi\) | |||||||
\(434\) | 1.08307 | + | 29.0864i | 0.0519891 | + | 1.39619i | ||||
\(435\) | −12.9093 | + | 12.9093i | −0.618956 | + | 0.618956i | ||||
\(436\) | −5.73072 | − | 3.09330i | −0.274452 | − | 0.148142i | ||||
\(437\) | −10.1744 | + | 2.72622i | −0.486708 | + | 0.130413i | ||||
\(438\) | −24.5654 | + | 32.9816i | −1.17378 | + | 1.57592i | ||||
\(439\) | 1.71358 | − | 0.989334i | 0.0817846 | − | 0.0472184i | −0.458550 | − | 0.888669i | \(-0.651631\pi\) |
0.540335 | + | 0.841450i | \(0.318298\pi\) | |||||||
\(440\) | 12.0543 | − | 5.61113i | 0.574666 | − | 0.267500i | ||||
\(441\) | −18.7069 | − | 17.0673i | −0.890803 | − | 0.812729i | ||||
\(442\) | 14.4559 | + | 1.69294i | 0.687597 | + | 0.0805251i | ||||
\(443\) | 8.98048 | − | 33.5156i | 0.426675 | − | 1.59237i | −0.333562 | − | 0.942728i | \(-0.608251\pi\) |
0.760237 | − | 0.649646i | \(-0.225083\pi\) | |||||||
\(444\) | 3.93727 | + | 3.71797i | 0.186855 | + | 0.176447i | ||||
\(445\) | −15.0542 | + | 4.03377i | −0.713640 | + | 0.191219i | ||||
\(446\) | −22.9888 | − | 9.13884i | −1.08855 | − | 0.432736i | ||||
\(447\) | −21.8614 | −1.03401 | ||||||||
\(448\) | 5.02542 | + | 20.5608i | 0.237429 | + | 0.971405i | ||||
\(449\) | 20.0460 | 0.946031 | 0.473015 | − | 0.881054i | \(-0.343166\pi\) | ||||
0.473015 | + | 0.881054i | \(0.343166\pi\) | |||||||
\(450\) | −25.9579 | − | 10.3192i | −1.22367 | − | 0.486450i | ||||
\(451\) | −3.89196 | + | 1.04285i | −0.183265 | + | 0.0491058i | ||||
\(452\) | 16.7802 | + | 15.8455i | 0.789274 | + | 0.745312i | ||||
\(453\) | −6.81682 | + | 25.4407i | −0.320282 | + | 1.19531i | ||||
\(454\) | −24.6177 | − | 2.88300i | −1.15537 | − | 0.135306i | ||||
\(455\) | 37.4537 | + | 4.06081i | 1.75586 | + | 0.190374i | ||||
\(456\) | −30.0918 | + | 14.0074i | −1.40918 | + | 0.655954i | ||||
\(457\) | 25.9859 | − | 15.0030i | 1.21557 | − | 0.701810i | 0.251603 | − | 0.967830i | \(-0.419042\pi\) |
0.963967 | + | 0.266020i | \(0.0857088\pi\) | |||||||
\(458\) | 5.90529 | − | 7.92847i | 0.275936 | − | 0.370473i | ||||
\(459\) | −3.58693 | + | 0.961116i | −0.167424 | + | 0.0448611i | ||||
\(460\) | 13.1431 | + | 7.09432i | 0.612800 | + | 0.330774i | ||||
\(461\) | −18.2334 | + | 18.2334i | −0.849213 | + | 0.849213i | −0.990035 | − | 0.140822i | \(-0.955026\pi\) |
0.140822 | + | 0.990035i | \(0.455026\pi\) | |||||||
\(462\) | 6.53949 | − | 12.3679i | 0.304244 | − | 0.575407i | ||||
\(463\) | 31.3804i | 1.45837i | 0.684316 | + | 0.729186i | \(0.260101\pi\) | ||||
−0.684316 | + | 0.729186i | \(0.739899\pi\) | |||||||
\(464\) | 5.84103 | − | 6.55165i | 0.271163 | − | 0.304153i | ||||
\(465\) | 56.0497 | + | 32.3603i | 2.59924 | + | 1.50067i | ||||
\(466\) | −40.5459 | + | 5.92979i | −1.87825 | + | 0.274692i | ||||
\(467\) | −6.17115 | + | 23.0310i | −0.285567 | + | 1.06575i | 0.662858 | + | 0.748745i | \(0.269343\pi\) |
−0.948424 | + | 0.317004i | \(0.897323\pi\) | |||||||
\(468\) | 27.1186 | − | 16.7102i | 1.25356 | − | 0.772428i | ||||
\(469\) | −6.63028 | − | 2.57011i | −0.306158 | − | 0.118677i | ||||
\(470\) | 12.9485 | + | 1.51641i | 0.597268 | + | 0.0699466i | ||||
\(471\) | −18.8844 | − | 32.7088i | −0.870148 | − | 1.50714i | ||||
\(472\) | −8.46999 | + | 7.09745i | −0.389863 | + | 0.326687i | ||||
\(473\) | −12.6774 | − | 7.31928i | −0.582906 | − | 0.336541i | ||||
\(474\) | −2.72625 | + | 1.17526i | −0.125221 | + | 0.0539816i | ||||
\(475\) | −17.6129 | + | 17.6129i | −0.808135 | + | 0.808135i | ||||
\(476\) | 11.6566 | + | 4.13859i | 0.534279 | + | 0.189692i | ||||
\(477\) | −29.3752 | − | 29.3752i | −1.34500 | − | 1.34500i | ||||
\(478\) | 6.97903 | − | 17.5558i | 0.319213 | − | 0.802982i | ||||
\(479\) | 17.6784 | − | 30.6199i | 0.807747 | − | 1.39906i | −0.106674 | − | 0.994294i | \(-0.534020\pi\) |
0.914421 | − | 0.404764i | \(-0.132646\pi\) | |||||||
\(480\) | 44.6588 | + | 14.8540i | 2.03838 | + | 0.677989i | ||||
\(481\) | −4.01319 | + | 2.31701i | −0.182986 | + | 0.105647i | ||||
\(482\) | 10.6835 | + | 13.5177i | 0.486619 | + | 0.615714i | ||||
\(483\) | 15.5297 | − | 2.40746i | 0.706625 | − | 0.109543i | ||||
\(484\) | −17.2937 | − | 4.10688i | −0.786077 | − | 0.186677i | ||||
\(485\) | 18.3236 | + | 4.90979i | 0.832032 | + | 0.222942i | ||||
\(486\) | 18.7294 | − | 25.1461i | 0.849582 | − | 1.14065i | ||||
\(487\) | 5.31153 | − | 9.19984i | 0.240688 | − | 0.416884i | −0.720222 | − | 0.693743i | \(-0.755960\pi\) |
0.960911 | + | 0.276859i | \(0.0892935\pi\) | |||||||
\(488\) | −7.04312 | − | 40.1015i | −0.318827 | − | 1.81531i | ||||
\(489\) | −59.1357 | −2.67421 | ||||||||
\(490\) | 30.2626 | + | 10.4530i | 1.36713 | + | 0.472220i | ||||
\(491\) | 26.9088 | + | 26.9088i | 1.21438 | + | 1.21438i | 0.969572 | + | 0.244806i | \(0.0787243\pi\) |
0.244806 | + | 0.969572i | \(0.421276\pi\) | |||||||
\(492\) | −12.5506 | − | 6.77448i | −0.565823 | − | 0.305417i | ||||
\(493\) | −1.32761 | − | 4.95472i | −0.0597927 | − | 0.223149i | ||||
\(494\) | −4.11027 | − | 28.1046i | −0.184930 | − | 1.26449i | ||||
\(495\) | −8.50291 | − | 14.7275i | −0.382177 | − | 0.661950i | ||||
\(496\) | −27.7939 | − | 13.9899i | −1.24798 | − | 0.628165i | ||||
\(497\) | −11.6902 | + | 15.9797i | −0.524379 | + | 0.716789i | ||||
\(498\) | 8.46299 | + | 10.7081i | 0.379236 | + | 0.479843i | ||||
\(499\) | −12.2441 | − | 3.28081i | −0.548123 | − | 0.146869i | −0.0258790 | − | 0.999665i | \(-0.508238\pi\) |
−0.522244 | + | 0.852796i | \(0.674905\pi\) | |||||||
\(500\) | 2.97509 | − | 0.0852287i | 0.133050 | − | 0.00381154i | ||||
\(501\) | −2.54402 | − | 9.49441i | −0.113658 | − | 0.424179i | ||||
\(502\) | 12.2856 | − | 5.29621i | 0.548332 | − | 0.236381i | ||||
\(503\) | 13.7074i | 0.611183i | 0.952163 | + | 0.305591i | \(0.0988542\pi\) | ||||
−0.952163 | + | 0.305591i | \(0.901146\pi\) | |||||||
\(504\) | 25.6309 | − | 8.71221i | 1.14169 | − | 0.388073i | ||||
\(505\) | 4.66892i | 0.207764i | ||||||||
\(506\) | 1.87893 | + | 4.35854i | 0.0835286 | + | 0.193761i | ||||
\(507\) | 4.25008 | + | 15.8615i | 0.188753 | + | 0.704434i | ||||
\(508\) | 6.16827 | − | 6.53211i | 0.273673 | − | 0.289815i | ||||
\(509\) | 23.0168 | + | 6.16734i | 1.02020 | + | 0.273363i | 0.729887 | − | 0.683568i | \(-0.239573\pi\) |
0.290317 | + | 0.956931i | \(0.406239\pi\) | |||||||
\(510\) | 21.5788 | − | 17.0544i | 0.955526 | − | 0.755183i | ||||
\(511\) | −12.0750 | − | 27.3622i | −0.534168 | − | 1.21043i | ||||
\(512\) | −21.8445 | − | 5.90058i | −0.965401 | − | 0.260771i | ||||
\(513\) | 3.62343 | + | 6.27596i | 0.159978 | + | 0.277091i | ||||
\(514\) | 5.37799 | − | 0.786525i | 0.237213 | − | 0.0346922i | ||||
\(515\) | −2.03109 | − | 7.58014i | −0.0895007 | − | 0.334021i | ||||
\(516\) | −14.8386 | − | 49.6454i | −0.653231 | − | 2.18552i | ||||
\(517\) | 2.92950 | + | 2.92950i | 0.128839 | + | 0.128839i | ||||
\(518\) | −3.76353 | + | 1.16015i | −0.165360 | + | 0.0509741i | ||||
\(519\) | −21.3854 | −0.938715 | ||||||||
\(520\) | −23.1226 | + | 32.9752i | −1.01400 | + | 1.44606i | ||||
\(521\) | −11.8589 | + | 20.5402i | −0.519548 | + | 0.899884i | 0.480194 | + | 0.877163i | \(0.340566\pi\) |
−0.999742 | + | 0.0227214i | \(0.992767\pi\) | |||||||
\(522\) | −9.00323 | − | 6.70580i | −0.394061 | − | 0.293505i | ||||
\(523\) | 18.1369 | + | 4.85978i | 0.793073 | + | 0.212503i | 0.632540 | − | 0.774527i | \(-0.282012\pi\) |
0.160532 | + | 0.987031i | \(0.448679\pi\) | |||||||
\(524\) | −23.5527 | + | 14.5129i | −1.02890 | + | 0.634000i | ||||
\(525\) | 28.9569 | − | 23.2920i | 1.26378 | − | 1.01655i | ||||
\(526\) | 7.00742 | − | 5.53819i | 0.305538 | − | 0.241476i | ||||
\(527\) | −15.7482 | + | 9.09220i | −0.686000 | + | 0.396063i | ||||
\(528\) | 8.20740 | + | 12.5032i | 0.357181 | + | 0.544132i | ||||
\(529\) | 8.83428 | − | 15.3014i | 0.384099 | − | 0.665279i | ||||
\(530\) | 48.8098 | + | 19.4036i | 2.12016 | + | 0.842837i | ||||
\(531\) | 9.99392 | + | 9.99392i | 0.433699 | + | 0.433699i | ||||
\(532\) | 1.91369 | − | 24.0632i | 0.0829689 | − | 1.04327i | ||||
\(533\) | 8.62996 | − | 8.62996i | 0.373805 | − | 0.373805i | ||||
\(534\) | −6.94011 | − | 16.0989i | −0.300328 | − | 0.696668i | ||||
\(535\) | 12.6067 | + | 7.27851i | 0.545037 | + | 0.314677i | ||||
\(536\) | 5.82673 | − | 4.88252i | 0.251676 | − | 0.210893i | ||||
\(537\) | 24.8536 | + | 43.0476i | 1.07251 | + | 1.85764i | ||||
\(538\) | 3.96648 | − | 33.8694i | 0.171007 | − | 1.46022i | ||||
\(539\) | 5.48534 | + | 8.56926i | 0.236271 | + | 0.369104i | ||||
\(540\) | 2.37420 | − | 9.99751i | 0.102169 | − | 0.430224i | ||||
\(541\) | −6.76561 | + | 25.2496i | −0.290876 | + | 1.08556i | 0.653561 | + | 0.756874i | \(0.273274\pi\) |
−0.944437 | + | 0.328691i | \(0.893392\pi\) | |||||||
\(542\) | 1.93728 | + | 13.2464i | 0.0832133 | + | 0.568984i | ||||
\(543\) | −19.1301 | − | 11.0448i | −0.820952 | − | 0.473977i | ||||
\(544\) | −9.88818 | + | 8.77986i | −0.423952 | + | 0.376433i | ||||
\(545\) | − | 10.5310i | − | 0.451100i | ||||||
\(546\) | 1.57686 | + | 42.3474i | 0.0674835 | + | 1.81230i | ||||
\(547\) | −23.8532 | + | 23.8532i | −1.01989 | + | 1.01989i | −0.0200929 | + | 0.999798i | \(0.506396\pi\) |
−0.999798 | + | 0.0200929i | \(0.993604\pi\) | |||||||
\(548\) | 1.44454 | + | 4.83299i | 0.0617076 | + | 0.206455i | ||||
\(549\) | −50.3001 | + | 13.4779i | −2.14675 | + | 0.575221i | ||||
\(550\) | 9.00125 | + | 6.70433i | 0.383815 | + | 0.285873i | ||||
\(551\) | −8.66915 | + | 5.00513i | −0.369318 | + | 0.213226i | ||||
\(552\) | −5.75665 | + | 15.7832i | −0.245020 | + | 0.671777i | ||||
\(553\) | 0.232726 | − | 2.14648i | 0.00989651 | − | 0.0912775i | ||||
\(554\) | 1.92910 | − | 16.4724i | 0.0819595 | − | 0.699845i | ||||
\(555\) | −2.26650 | + | 8.45871i | −0.0962077 | + | 0.359052i | ||||
\(556\) | −16.9744 | + | 0.486273i | −0.719874 | + | 0.0206225i | ||||
\(557\) | −41.6206 | + | 11.1522i | −1.76352 | + | 0.472534i | −0.987426 | − | 0.158083i | \(-0.949468\pi\) |
−0.776094 | + | 0.630617i | \(0.782802\pi\) | |||||||
\(558\) | −14.7017 | + | 36.9822i | −0.622373 | + | 1.56558i | ||||
\(559\) | 44.3401 | 1.87539 | ||||||||
\(560\) | −25.3986 | + | 22.9444i | −1.07329 | + | 0.969580i | ||||
\(561\) | 8.74052 | 0.369025 | ||||||||
\(562\) | −2.92309 | + | 7.35305i | −0.123303 | + | 0.310170i | ||||
\(563\) | −8.61735 | + | 2.30901i | −0.363178 | + | 0.0973133i | −0.435793 | − | 0.900047i | \(-0.643532\pi\) |
0.0726153 | + | 0.997360i | \(0.476865\pi\) | |||||||
\(564\) | 0.419931 | + | 14.6586i | 0.0176823 | + | 0.617238i | ||||
\(565\) | −9.65958 | + | 36.0500i | −0.406382 | + | 1.51664i | ||||
\(566\) | −0.631056 | + | 5.38854i | −0.0265253 | + | 0.226497i | ||||
\(567\) | 7.22743 | + | 16.3775i | 0.303524 | + | 0.687789i | ||||
\(568\) | −8.93237 | − | 19.1893i | −0.374794 | − | 0.805164i | ||||
\(569\) | 5.49552 | − | 3.17284i | 0.230384 | − | 0.133012i | −0.380365 | − | 0.924836i | \(-0.624202\pi\) |
0.610749 | + | 0.791824i | \(0.290868\pi\) | |||||||
\(570\) | −43.0470 | − | 32.0623i | −1.80304 | − | 1.34294i | ||||
\(571\) | 36.2565 | − | 9.71490i | 1.51729 | − | 0.406556i | 0.598439 | − | 0.801168i | \(-0.295788\pi\) |
0.918848 | + | 0.394612i | \(0.129121\pi\) | |||||||
\(572\) | −12.2625 | + | 3.66516i | −0.512723 | + | 0.153248i | ||||
\(573\) | 27.6637 | − | 27.6637i | 1.15567 | − | 1.15567i | ||||
\(574\) | 8.78342 | − | 5.51678i | 0.366613 | − | 0.230266i | ||||
\(575\) | 12.6074i | 0.525765i | ||||||||
\(576\) | −5.06383 | + | 28.4938i | −0.210993 | + | 1.18724i | ||||
\(577\) | −1.63907 | − | 0.946316i | −0.0682353 | − | 0.0393957i | 0.465494 | − | 0.885051i | \(-0.345877\pi\) |
−0.533729 | + | 0.845655i | \(0.679210\pi\) | |||||||
\(578\) | −2.36076 | − | 16.1420i | −0.0981945 | − | 0.671420i | ||||
\(579\) | 14.9668 | − | 55.8569i | 0.622000 | − | 2.32134i | ||||
\(580\) | 13.8098 | + | 3.27954i | 0.573421 | + | 0.136175i | ||||
\(581\) | −9.80889 | + | 1.52061i | −0.406941 | + | 0.0630854i | ||||
\(582\) | −2.48199 | + | 21.1935i | −0.102882 | + | 0.878500i | ||||
\(583\) | 8.34585 | + | 14.4554i | 0.345650 | + | 0.598683i | ||||
\(584\) | 31.8496 | + | 2.80810i | 1.31794 | + | 0.116200i | ||||
\(585\) | 44.6094 | + | 25.7553i | 1.84437 | + | 1.06485i | ||||
\(586\) | −7.71740 | − | 17.9020i | −0.318803 | − | 0.739525i | ||||
\(587\) | −26.8519 | + | 26.8519i | −1.10830 | + | 1.10830i | −0.114923 | + | 0.993374i | \(0.536662\pi\) |
−0.993374 | + | 0.114923i | \(0.963338\pi\) | |||||||
\(588\) | −6.70828 | + | 35.3841i | −0.276645 | + | 1.45922i | ||||
\(589\) | 25.0931 | + | 25.0931i | 1.03394 | + | 1.03394i | ||||
\(590\) | −16.6059 | − | 6.60141i | −0.683653 | − | 0.271776i | ||||
\(591\) | 15.1265 | − | 26.1998i | 0.622220 | − | 1.07772i | ||||
\(592\) | 0.855082 | − | 4.12246i | 0.0351437 | − | 0.169432i | ||||
\(593\) | −23.8885 | + | 13.7920i | −0.980984 | + | 0.566372i | −0.902567 | − | 0.430549i | \(-0.858320\pi\) |
−0.0784171 | + | 0.996921i | \(0.524987\pi\) | |||||||
\(594\) | 2.56190 | − | 2.02475i | 0.105116 | − | 0.0830765i | ||||
\(595\) | 3.06430 | + | 19.7667i | 0.125624 | + | 0.810354i | ||||
\(596\) | 8.91628 | + | 14.4700i | 0.365225 | + | 0.592716i | ||||
\(597\) | −25.3950 | − | 6.80456i | −1.03935 | − | 0.278492i | ||||
\(598\) | −11.5298 | − | 8.58763i | −0.471488 | − | 0.351174i | ||||
\(599\) | −11.8101 | + | 20.4557i | −0.482548 | + | 0.835797i | −0.999799 | − | 0.0200365i | \(-0.993622\pi\) |
0.517252 | + | 0.855833i | \(0.326955\pi\) | |||||||
\(600\) | 6.87232 | + | 39.1290i | 0.280561 | + | 1.59744i | ||||
\(601\) | −5.61717 | −0.229129 | −0.114565 | − | 0.993416i | \(-0.536547\pi\) | ||||
−0.114565 | + | 0.993416i | \(0.536547\pi\) | |||||||
\(602\) | 36.7367 | + | 8.39190i | 1.49728 | + | 0.342028i | ||||
\(603\) | −6.87508 | − | 6.87508i | −0.279975 | − | 0.279975i | ||||
\(604\) | 19.6195 | − | 5.86408i | 0.798304 | − | 0.238606i | ||||
\(605\) | −7.43936 | − | 27.7641i | −0.302453 | − | 1.12877i | ||||
\(606\) | −5.19656 | + | 0.759991i | −0.211096 | + | 0.0308725i | ||||
\(607\) | 2.43281 | + | 4.21375i | 0.0987446 | + | 0.171031i | 0.911165 | − | 0.412041i | \(-0.135184\pi\) |
−0.812421 | + | 0.583072i | \(0.801851\pi\) | |||||||
\(608\) | 21.5445 | + | 14.2047i | 0.873746 | + | 0.576078i | ||||
\(609\) | 13.6635 | − | 6.02975i | 0.553672 | − | 0.244338i | ||||
\(610\) | 51.6558 | − | 40.8253i | 2.09148 | − | 1.65297i | ||||
\(611\) | −12.1214 | − | 3.24791i | −0.490378 | − | 0.131396i | ||||
\(612\) | 12.2967 | + | 11.6118i | 0.497065 | + | 0.469378i | ||||
\(613\) | −1.06941 | − | 3.99109i | −0.0431931 | − | 0.161199i | 0.940961 | − | 0.338516i | \(-0.109925\pi\) |
−0.984154 | + | 0.177317i | \(0.943258\pi\) | |||||||
\(614\) | 16.2890 | + | 37.7854i | 0.657369 | + | 1.52490i | ||||
\(615\) | − | 23.0635i | − | 0.930010i | ||||||
\(616\) | −10.8535 | + | 0.715831i | −0.437298 | + | 0.0288417i | ||||
\(617\) | − | 25.3025i | − | 1.01864i | −0.860578 | − | 0.509319i | \(-0.829897\pi\) | ||
0.860578 | − | 0.509319i | \(-0.170103\pi\) | |||||||
\(618\) | 8.10616 | − | 3.49450i | 0.326078 | − | 0.140569i | ||||
\(619\) | −4.75356 | − | 17.7405i | −0.191062 | − | 0.713051i | −0.993251 | − | 0.115982i | \(-0.962998\pi\) |
0.802190 | − | 0.597069i | \(-0.203668\pi\) | |||||||
\(620\) | −1.44090 | − | 50.2975i | −0.0578678 | − | 2.02000i | ||||
\(621\) | 3.54302 | + | 0.949348i | 0.142176 | + | 0.0380960i | ||||
\(622\) | 0.501488 | + | 0.634528i | 0.0201078 | + | 0.0254423i | ||||
\(623\) | 12.6753 | + | 1.37428i | 0.507825 | + | 0.0550595i | ||||
\(624\) | −40.4656 | − | 20.3681i | −1.61992 | − | 0.815378i | ||||
\(625\) | −11.2438 | − | 19.4749i | −0.449753 | − | 0.778995i | ||||
\(626\) | −0.289493 | − | 1.97945i | −0.0115705 | − | 0.0791148i | ||||
\(627\) | −4.41472 | − | 16.4760i | −0.176307 | − | 0.657987i | ||||
\(628\) | −13.9478 | + | 25.8400i | −0.556577 | + | 1.03113i | ||||
\(629\) | −1.73981 | − | 1.73981i | −0.0693707 | − | 0.0693707i | ||||
\(630\) | 32.0853 | + | 29.7816i | 1.27831 | + | 1.18653i | ||||
\(631\) | −41.4293 | −1.64928 | −0.824638 | − | 0.565661i | \(-0.808621\pi\) | ||||
−0.824638 | + | 0.565661i | \(0.808621\pi\) | |||||||
\(632\) | 1.88982 | + | 1.32516i | 0.0751729 | + | 0.0527121i | ||||
\(633\) | −10.4368 | + | 18.0771i | −0.414826 | + | 0.718500i | ||||
\(634\) | 22.1190 | − | 29.6970i | 0.878456 | − | 1.17942i | ||||
\(635\) | 14.0334 | + | 3.76023i | 0.556897 | + | 0.149220i | ||||
\(636\) | −13.6513 | + | 57.4842i | −0.541308 | + | 2.27940i | ||||
\(637\) | −27.3672 | − | 14.1712i | −1.08433 | − | 0.561484i | ||||
\(638\) | 2.79684 | + | 3.53881i | 0.110728 | + | 0.140103i | ||||
\(639\) | −23.4447 | + | 13.5358i | −0.927458 | + | 0.535468i | ||||
\(640\) | −8.38246 | − | 35.6178i | −0.331346 | − | 1.40792i | ||||
\(641\) | −17.0933 | + | 29.6065i | −0.675146 | + | 1.16939i | 0.301280 | + | 0.953536i | \(0.402586\pi\) |
−0.976426 | + | 0.215852i | \(0.930747\pi\) | |||||||
\(642\) | −6.04897 | + | 15.2162i | −0.238734 | + | 0.600536i | ||||
\(643\) | 3.46526 | + | 3.46526i | 0.136657 | + | 0.136657i | 0.772126 | − | 0.635469i | \(-0.219193\pi\) |
−0.635469 | + | 0.772126i | \(0.719193\pi\) | |||||||
\(644\) | −7.92735 | − | 9.29718i | −0.312381 | − | 0.366360i | ||||
\(645\) | 59.2493 | − | 59.2493i | 2.33294 | − | 2.33294i | ||||
\(646\) | 13.8490 | − | 5.97018i | 0.544881 | − | 0.234893i | ||||
\(647\) | 27.2890 | + | 15.7553i | 1.07284 | + | 0.619406i | 0.928957 | − | 0.370188i | \(-0.120707\pi\) |
0.143886 | + | 0.989594i | \(0.454040\pi\) | |||||||
\(648\) | −19.0634 | − | 1.68077i | −0.748880 | − | 0.0660270i | ||||
\(649\) | −2.83939 | − | 4.91797i | −0.111456 | − | 0.193047i | ||||
\(650\) | −33.7656 | − | 3.95433i | −1.32440 | − | 0.155101i | ||||
\(651\) | −33.1841 | − | 41.2549i | −1.30059 | − | 1.61691i | ||||
\(652\) | 24.1188 | + | 39.1418i | 0.944563 | + | 1.53291i | ||||
\(653\) | −5.18880 | + | 19.3649i | −0.203053 | + | 0.757805i | 0.786981 | + | 0.616977i | \(0.211643\pi\) |
−0.990034 | + | 0.140828i | \(0.955024\pi\) | |||||||
\(654\) | 11.7211 | − | 1.71420i | 0.458333 | − | 0.0670307i | ||||
\(655\) | −38.7436 | − | 22.3686i | −1.51384 | − | 0.874015i | ||||
\(656\) | 0.634787 | + | 11.0702i | 0.0247843 | + | 0.432219i | ||||
\(657\) | − | 40.8933i | − | 1.59540i | ||||||
\(658\) | −9.42809 | − | 4.98507i | −0.367545 | − | 0.194338i | ||||
\(659\) | 29.3969 | − | 29.3969i | 1.14514 | − | 1.14514i | 0.157643 | − | 0.987496i | \(-0.449610\pi\) |
0.987496 | − | 0.157643i | \(-0.0503896\pi\) | |||||||
\(660\) | −11.4882 | + | 21.2833i | −0.447178 | + | 0.828453i | ||||
\(661\) | 46.8440 | − | 12.5518i | 1.82202 | − | 0.488208i | 0.824984 | − | 0.565157i | \(-0.191184\pi\) |
0.997035 | + | 0.0769483i | \(0.0245176\pi\) | |||||||
\(662\) | −2.37338 | + | 3.18651i | −0.0922440 | + | 0.123847i | ||||
\(663\) | −22.9280 | + | 13.2375i | −0.890450 | + | 0.514102i | ||||
\(664\) | 3.63603 | − | 9.96901i | 0.141105 | − | 0.386873i | ||||
\(665\) | 35.7127 | − | 15.7601i | 1.38488 | − | 0.611151i | ||||
\(666\) | −5.34827 | − | 0.626340i | −0.207241 | − | 0.0242702i | ||||
\(667\) | −1.31136 | + | 4.89406i | −0.0507760 | + | 0.189499i | ||||
\(668\) | −5.24675 | + | 5.55622i | −0.203003 | + | 0.214977i | ||||
\(669\) | 43.4664 | − | 11.6468i | 1.68051 | − | 0.450290i | ||||
\(670\) | 11.4236 | + | 4.54128i | 0.441333 | + | 0.175445i | ||||
\(671\) | 20.9232 | 0.807733 | ||||||||
\(672\) | −29.6717 | − | 24.5340i | −1.14461 | − | 0.946421i | ||||
\(673\) | 11.6457 | 0.448909 | 0.224454 | − | 0.974485i | \(-0.427940\pi\) | ||||
0.224454 | + | 0.974485i | \(0.427940\pi\) | |||||||
\(674\) | −31.4359 | − | 12.4968i | −1.21086 | − | 0.481360i | ||||
\(675\) | 8.37826 | − | 2.24495i | 0.322479 | − | 0.0864080i | ||||
\(676\) | 8.76530 | − | 9.28231i | 0.337127 | − | 0.357012i | ||||
\(677\) | 8.74138 | − | 32.6233i | 0.335959 | − | 1.25381i | −0.566868 | − | 0.823809i | \(-0.691845\pi\) |
0.902826 | − | 0.430006i | \(-0.141488\pi\) | |||||||
\(678\) | −41.6964 | − | 4.88310i | −1.60134 | − | 0.187534i | ||||
\(679\) | −12.5247 | − | 9.16263i | −0.480653 | − | 0.351630i | ||||
\(680\) | −20.0893 | − | 7.32725i | −0.770391 | − | 0.280987i | ||||
\(681\) | 39.0453 | − | 22.5428i | 1.49622 | − | 0.863843i | ||||
\(682\) | 9.55165 | − | 12.8241i | 0.365752 | − | 0.491060i | ||||
\(683\) | −6.57460 | + | 1.76166i | −0.251570 | + | 0.0674080i | −0.382400 | − | 0.923997i | \(-0.624902\pi\) |
0.130830 | + | 0.991405i | \(0.458236\pi\) | |||||||
\(684\) | 15.6774 | − | 29.0444i | 0.599441 | − | 1.11054i | ||||
\(685\) | −5.76794 | + | 5.76794i | −0.220382 | + | 0.220382i | ||||
\(686\) | −19.9922 | − | 16.9207i | −0.763307 | − | 0.646036i | ||||
\(687\) | 17.9827i | 0.686081i | ||||||||
\(688\) | −26.8082 | + | 30.0697i | −1.02205 | + | 1.14640i | ||||
\(689\) | −43.7854 | − | 25.2795i | −1.66809 | − | 0.963073i | ||||
\(690\) | −26.8818 | + | 3.93144i | −1.02337 | + | 0.149667i | ||||
\(691\) | 7.97267 | − | 29.7544i | 0.303295 | − | 1.13191i | −0.631108 | − | 0.775695i | \(-0.717400\pi\) |
0.934403 | − | 0.356217i | \(-0.115934\pi\) | |||||||
\(692\) | 8.72214 | + | 14.1550i | 0.331566 | + | 0.538091i | ||||
\(693\) | 2.13117 | + | 13.7474i | 0.0809565 | + | 0.522221i | ||||
\(694\) | 17.5683 | + | 2.05744i | 0.666884 | + | 0.0780994i | ||||
\(695\) | −13.7303 | − | 23.7816i | −0.520821 | − | 0.902088i | ||||
\(696\) | −1.40224 | + | 15.9043i | −0.0531519 | + | 0.602851i | ||||
\(697\) | 5.61193 | + | 3.24005i | 0.212567 | + | 0.122726i | ||||
\(698\) | −40.2507 | + | 17.3517i | −1.52351 | + | 0.656773i | ||||
\(699\) | 52.7060 | − | 52.7060i | 1.99352 | − | 1.99352i | ||||
\(700\) | −27.2271 | − | 9.66680i | −1.02909 | − | 0.365371i | ||||
\(701\) | −28.2191 | − | 28.2191i | −1.06582 | − | 1.06582i | −0.997675 | − | 0.0681440i | \(-0.978292\pi\) |
−0.0681440 | − | 0.997675i | \(-0.521708\pi\) | |||||||
\(702\) | −3.65386 | + | 9.19129i | −0.137906 | + | 0.346903i | ||||
\(703\) | −2.40080 | + | 4.15831i | −0.0905480 | + | 0.156834i | ||||
\(704\) | 4.92842 | − | 10.5320i | 0.185747 | − | 0.396938i | ||||
\(705\) | −20.5371 | + | 11.8571i | −0.773473 | + | 0.446565i | ||||
\(706\) | −18.4269 | − | 23.3153i | −0.693504 | − | 0.877484i | ||||
\(707\) | 1.38045 | − | 3.56123i | 0.0519171 | − | 0.133934i | ||||
\(708\) | 4.64439 | − | 19.5571i | 0.174547 | − | 0.734999i | ||||
\(709\) | 18.5805 | + | 4.97862i | 0.697804 | + | 0.186976i | 0.590247 | − | 0.807223i | \(-0.299030\pi\) |
0.107557 | + | 0.994199i | \(0.465697\pi\) | |||||||
\(710\) | 20.4459 | − | 27.4507i | 0.767320 | − | 1.03021i | ||||
\(711\) | 1.47604 | − | 2.55657i | 0.0553557 | − | 0.0958790i | ||||
\(712\) | −7.82529 | + | 11.1597i | −0.293265 | + | 0.418226i | ||||
\(713\) | 17.9618 | 0.672673 | ||||||||
\(714\) | −21.5017 | + | 6.62814i | −0.804681 | + | 0.248052i | ||||
\(715\) | −14.6347 | − | 14.6347i | −0.547308 | − | 0.547308i | ||||
\(716\) | 18.3565 | − | 34.0077i | 0.686016 | − | 1.27093i | ||||
\(717\) | 8.89426 | + | 33.1938i | 0.332162 | + | 1.23965i | ||||
\(718\) | 1.95773 | + | 13.3863i | 0.0730617 | + | 0.499571i | ||||
\(719\) | −11.9289 | − | 20.6615i | −0.444873 | − | 0.770543i | 0.553170 | − | 0.833068i | \(-0.313418\pi\) |
−0.998043 | + | 0.0625253i | \(0.980085\pi\) | |||||||
\(720\) | −44.4372 | + | 14.6806i | −1.65608 | + | 0.547114i | ||||
\(721\) | −0.691981 | + | 6.38229i | −0.0257707 | + | 0.237689i | ||||
\(722\) | −1.58776 | − | 2.00897i | −0.0590902 | − | 0.0747662i | ||||
\(723\) | −30.2730 | − | 8.11163i | −1.12587 | − | 0.301675i | ||||
\(724\) | 0.491786 | + | 17.1669i | 0.0182771 | + | 0.638001i | ||||
\(725\) | 3.10100 | + | 11.5731i | 0.115168 | + | 0.429814i | ||||
\(726\) | 29.6907 | − | 12.7994i | 1.10193 | − | 0.475031i | ||||
\(727\) | − | 28.5645i | − | 1.05940i | −0.848185 | − | 0.529700i | \(-0.822305\pi\) | ||
0.848185 | − | 0.529700i | \(-0.177695\pi\) | |||||||
\(728\) | 27.3865 | − | 18.3153i | 1.01501 | − | 0.678810i | ||||
\(729\) | 36.7360i | 1.36059i | ||||||||
\(730\) | 20.4682 | + | 47.4800i | 0.757563 | + | 1.75731i | ||||
\(731\) | 6.09328 | + | 22.7404i | 0.225368 | + | 0.841085i | ||||
\(732\) | 53.8473 | + | 50.8480i | 1.99025 | + | 1.87940i | ||||
\(733\) | 22.5582 | + | 6.04445i | 0.833206 | + | 0.223257i | 0.650112 | − | 0.759839i | \(-0.274722\pi\) |
0.183094 | + | 0.983095i | \(0.441389\pi\) | |||||||
\(734\) | 6.79708 | − | 5.37196i | 0.250885 | − | 0.198283i | ||||
\(735\) | −55.5055 | + | 17.6331i | −2.04735 | + | 0.650406i | ||||
\(736\) | 12.7947 | − | 2.62692i | 0.471620 | − | 0.0968297i | ||||
\(737\) | 1.95329 | + | 3.38320i | 0.0719504 | + | 0.124622i | ||||
\(738\) | 14.0327 | − | 2.05226i | 0.516550 | − | 0.0755449i | ||||
\(739\) | −0.460947 | − | 1.72028i | −0.0169562 | − | 0.0632814i | 0.956929 | − | 0.290321i | \(-0.0937620\pi\) |
−0.973886 | + | 0.227039i | \(0.927095\pi\) | |||||||
\(740\) | 6.52321 | − | 1.94973i | 0.239798 | − | 0.0716734i | ||||
\(741\) | 36.5335 | + | 36.5335i | 1.34209 | + | 1.34209i | ||||
\(742\) | −31.4927 | − | 29.2315i | −1.15613 | − | 1.07312i | ||||
\(743\) | 16.7041 | 0.612815 | 0.306407 | − | 0.951900i | \(-0.400873\pi\) | ||||
0.306407 | + | 0.951900i | \(0.400873\pi\) | |||||||
\(744\) | 55.7471 | − | 9.79099i | 2.04379 | − | 0.358955i | ||||
\(745\) | −13.7426 | + | 23.8029i | −0.503490 | + | 0.872070i | ||||
\(746\) | 18.6312 | + | 13.8769i | 0.682138 | + | 0.508071i | ||||
\(747\) | −13.1094 | − | 3.51266i | −0.479649 | − | 0.128522i | ||||
\(748\) | −3.56486 | − | 5.78534i | −0.130344 | − | 0.211533i | ||||
\(749\) | −7.46379 | − | 9.27909i | −0.272721 | − | 0.339051i | ||||
\(750\) | −4.24751 | + | 3.35695i | −0.155097 | + | 0.122578i | ||||
\(751\) | −1.51512 | + | 0.874754i | −0.0552874 | + | 0.0319202i | −0.527389 | − | 0.849624i | \(-0.676829\pi\) |
0.472101 | + | 0.881544i | \(0.343496\pi\) | |||||||
\(752\) | 9.53123 | − | 6.25653i | 0.347568 | − | 0.228152i | ||||
\(753\) | −12.1678 | + | 21.0752i | −0.443419 | + | 0.768024i | ||||
\(754\) | −12.6962 | − | 5.04716i | −0.462367 | − | 0.183807i | ||||
\(755\) | 23.4148 | + | 23.4148i | 0.852153 | + | 0.852153i | ||||
\(756\) | −4.76686 | + | 6.92364i | −0.173369 | + | 0.251810i | ||||
\(757\) | −15.6771 | + | 15.6771i | −0.569792 | + | 0.569792i | −0.932070 | − | 0.362278i | \(-0.881999\pi\) |
0.362278 | + | 0.932070i | \(0.381999\pi\) | |||||||
\(758\) | 4.79207 | + | 11.1161i | 0.174056 | + | 0.403756i | ||||
\(759\) | −7.47683 | − | 4.31675i | −0.271392 | − | 0.156688i | ||||
\(760\) | −3.66509 | + | 41.5695i | −0.132947 | + | 1.50788i | ||||
\(761\) | 25.9814 | + | 45.0012i | 0.941826 | + | 1.63129i | 0.761984 | + | 0.647596i | \(0.224225\pi\) |
0.179842 | + | 0.983695i | \(0.442441\pi\) | |||||||
\(762\) | −1.90087 | + | 16.2314i | −0.0688612 | + | 0.588000i | ||||
\(763\) | −3.11368 | + | 8.03255i | −0.112723 | + | 0.290798i | ||||
\(764\) | −29.5934 | − | 7.02780i | −1.07065 | − | 0.254257i | ||||
\(765\) | −7.07864 | + | 26.4178i | −0.255929 | + | 0.955139i | ||||
\(766\) | −3.94578 | − | 26.9799i | −0.142567 | − | 0.974823i | ||||
\(767\) | 14.8965 | + | 8.60050i | 0.537882 | + | 0.310546i | ||||
\(768\) | 38.2785 | − | 15.1275i | 1.38126 | − | 0.545867i | ||||
\(769\) | 34.9699i | 1.26105i | 0.776170 | + | 0.630524i | \(0.217160\pi\) | ||||
−0.776170 | + | 0.630524i | \(0.782840\pi\) | |||||||
\(770\) | −9.35539 | − | 14.8950i | −0.337145 | − | 0.536778i | ||||
\(771\) | −6.99090 | + | 6.99090i | −0.251771 | + | 0.251771i | ||||
\(772\) | −43.0759 | + | 12.8750i | −1.55034 | + | 0.463381i | ||||
\(773\) | −13.2793 | + | 3.55817i | −0.477622 | + | 0.127978i | −0.489595 | − | 0.871950i | \(-0.662855\pi\) |
0.0119731 | + | 0.999928i | \(0.496189\pi\) | |||||||
\(774\) | 41.3216 | + | 30.7773i | 1.48528 | + | 1.10627i | ||||
\(775\) | 36.7841 | − | 21.2373i | 1.32132 | − | 0.762866i | ||||
\(776\) | 15.0403 | − | 7.00106i | 0.539914 | − | 0.251323i | ||||
\(777\) | 4.22974 | − | 5.78176i | 0.151741 | − | 0.207419i | ||||
\(778\) | −4.70834 | + | 40.2041i | −0.168802 | + | 1.44139i | ||||
\(779\) | 3.27301 | − | 12.2150i | 0.117268 | − | 0.437650i | ||||
\(780\) | −2.09783 | − | 73.2291i | −0.0751142 | − | 2.62202i | ||||
\(781\) | 10.5066 | − | 2.81523i | 0.375956 | − | 0.100737i | ||||
\(782\) | 2.81984 | − | 7.09332i | 0.100837 | − | 0.253657i | ||||
\(783\) | 3.48586 | 0.124574 | ||||||||
\(784\) | 26.1567 | − | 9.99137i | 0.934168 | − | 0.356835i | ||||
\(785\) | −47.4847 | −1.69480 | ||||||||
\(786\) | 18.5900 | − | 46.7631i | 0.663082 | − | 1.66799i | ||||
\(787\) | 23.9812 | − | 6.42575i | 0.854838 | − | 0.229053i | 0.195318 | − | 0.980740i | \(-0.437426\pi\) |
0.659520 | + | 0.751687i | \(0.270760\pi\) | |||||||
\(788\) | −23.5110 | + | 0.673530i | −0.837545 | + | 0.0239935i | ||||
\(789\) | −4.20498 | + | 15.6932i | −0.149701 | + | 0.558692i | ||||
\(790\) | −0.434148 | + | 3.70716i | −0.0154463 | + | 0.131895i | ||||
\(791\) | 18.0267 | − | 24.6412i | 0.640954 | − | 0.876139i | ||||
\(792\) | −13.9718 | − | 5.09599i | −0.496467 | − | 0.181078i | ||||
\(793\) | −54.8856 | + | 31.6882i | −1.94904 | + | 1.12528i | ||||
\(794\) | −10.5184 | − | 7.83434i | −0.373284 | − | 0.278030i | ||||
\(795\) | −92.2878 | + | 24.7284i | −3.27311 | + | 0.877027i | ||||
\(796\) | 5.85352 | + | 19.5842i | 0.207473 | + | 0.694142i | ||||
\(797\) | 13.3302 | − | 13.3302i | 0.472179 | − | 0.472179i | −0.430440 | − | 0.902619i | \(-0.641642\pi\) |
0.902619 | + | 0.430440i | \(0.141642\pi\) | |||||||
\(798\) | 23.3544 | + | 37.1831i | 0.826735 | + | 1.31627i | ||||
\(799\) | − | 6.66293i | − | 0.235717i | ||||||
\(800\) | 23.0965 | − | 20.5077i | 0.816585 | − | 0.725058i | ||||
\(801\) | 15.0970 | + | 8.71624i | 0.533425 | + | 0.307973i | ||||
\(802\) | 7.17427 | + | 49.0552i | 0.253332 | + | 1.73220i | ||||
\(803\) | −4.25258 | + | 15.8709i | −0.150070 | + | 0.560070i | ||||
\(804\) | −3.19499 | + | 13.4538i | −0.112679 | + | 0.474479i | ||||
\(805\) | 7.14106 | − | 18.4222i | 0.251689 | − | 0.649298i | ||||
\(806\) | −5.63373 | + | 48.1059i | −0.198440 | + | 1.69446i | ||||
\(807\) | 31.0148 | + | 53.7192i | 1.09177 | + | 1.89101i | ||||
\(808\) | 2.62248 | + | 3.12963i | 0.0922584 | + | 0.110100i | ||||
\(809\) | −18.7601 | − | 10.8311i | −0.659569 | − | 0.380803i | 0.132544 | − | 0.991177i | \(-0.457686\pi\) |
−0.792113 | + | 0.610375i | \(0.791019\pi\) | |||||||
\(810\) | −12.2511 | − | 28.4188i | −0.430461 | − | 0.998536i | ||||
\(811\) | 1.51326 | − | 1.51326i | 0.0531379 | − | 0.0531379i | −0.680039 | − | 0.733176i | \(-0.738037\pi\) |
0.733176 | + | 0.680039i | \(0.238037\pi\) | |||||||
\(812\) | −9.56380 | − | 6.58458i | −0.335623 | − | 0.231073i | ||||
\(813\) | −17.2192 | − | 17.2192i | −0.603904 | − | 0.603904i | ||||
\(814\) | 2.01055 | + | 0.799263i | 0.0704697 | + | 0.0280142i | ||||
\(815\) | −37.1741 | + | 64.3874i | −1.30215 | + | 2.25539i | ||||
\(816\) | 4.88523 | − | 23.5523i | 0.171017 | − | 0.824496i | ||||
\(817\) | 39.7883 | − | 22.9718i | 1.39202 | − | 0.803681i | ||||
\(818\) | 38.6986 | − | 30.5848i | 1.35307 | − | 1.06937i | ||||
\(819\) | −26.4109 | − | 32.8344i | −0.922871 | − | 1.14733i | ||||
\(820\) | −15.2657 | + | 9.40655i | −0.533101 | + | 0.328491i | ||||
\(821\) | −46.3574 | − | 12.4214i | −1.61788 | − | 0.433511i | −0.667506 | − | 0.744605i | \(-0.732638\pi\) |
−0.950379 | + | 0.311094i | \(0.899305\pi\) | |||||||
\(822\) | −7.35866 | − | 5.48089i | −0.256663 | − | 0.191168i | ||||
\(823\) | −15.0408 | + | 26.0514i | −0.524290 | + | 0.908096i | 0.475310 | + | 0.879818i | \(0.342336\pi\) |
−0.999600 | + | 0.0282782i | \(0.990998\pi\) | |||||||
\(824\) | −5.61914 | − | 3.94021i | −0.195752 | − | 0.137264i | ||||
\(825\) | −20.4158 | −0.710789 | ||||||||
\(826\) | 10.7143 | + | 9.94504i | 0.372799 | + | 0.346032i | ||||
\(827\) | 22.5866 | + | 22.5866i | 0.785414 | + | 0.785414i | 0.980739 | − | 0.195325i | \(-0.0625760\pi\) |
−0.195325 | + | 0.980739i | \(0.562576\pi\) | |||||||
\(828\) | −4.78406 | − | 16.0060i | −0.166258 | − | 0.556248i | ||||
\(829\) | 8.56747 | + | 31.9742i | 0.297561 | + | 1.11051i | 0.939162 | + | 0.343473i | \(0.111603\pi\) |
−0.641602 | + | 0.767038i | \(0.721730\pi\) | |||||||
\(830\) | 16.9791 | − | 2.48318i | 0.589355 | − | 0.0861925i | ||||
\(831\) | 15.0840 | + | 26.1263i | 0.523260 | + | 0.906313i | ||||
\(832\) | 3.02245 | + | 35.0914i | 0.104785 | + | 1.21657i | ||||
\(833\) | 3.50706 | − | 15.9831i | 0.121512 | − | 0.553780i | ||||
\(834\) | 24.2342 | − | 19.1531i | 0.839161 | − | 0.663216i | ||||
\(835\) | −11.9368 | − | 3.19846i | −0.413091 | − | 0.110687i | ||||
\(836\) | −9.10486 | + | 9.64190i | −0.314898 | + | 0.333472i | ||||
\(837\) | −3.19838 | − | 11.9365i | −0.110552 | − | 0.412586i | ||||
\(838\) | −6.79183 | − | 15.7550i | −0.234620 | − | 0.544246i | ||||
\(839\) | − | 35.7894i | − | 1.23559i | −0.786340 | − | 0.617794i | \(-0.788027\pi\) | ||
0.786340 | − | 0.617794i | \(-0.211973\pi\) | |||||||
\(840\) | 12.1214 | − | 61.0689i | 0.418228 | − | 2.10708i | ||||
\(841\) | − | 24.1849i | − | 0.833962i | ||||||
\(842\) | −13.6126 | + | 5.86829i | −0.469123 | + | 0.202235i | ||||
\(843\) | −3.72527 | − | 13.9029i | −0.128305 | − | 0.478841i | ||||
\(844\) | 16.2219 | − | 0.464716i | 0.558381 | − | 0.0159962i | ||||
\(845\) | 19.9418 | + | 5.34340i | 0.686020 | + | 0.183818i | ||||
\(846\) | −9.04176 | − | 11.4404i | −0.310862 | − | 0.393331i | ||||
\(847\) | −2.53455 | + | 23.3766i | −0.0870880 | + | 0.803231i | ||||
\(848\) | 43.6164 | − | 14.4094i | 1.49779 | − | 0.494822i | ||||
\(849\) | −4.93437 | − | 8.54658i | −0.169347 | − | 0.293318i | ||||
\(850\) | −2.61209 | − | 17.8606i | −0.0895939 | − | 0.612612i | ||||
\(851\) | 0.629017 | + | 2.34752i | 0.0215624 | + | 0.0804721i | ||||
\(852\) | 33.8810 | + | 18.2881i | 1.16074 | + | 0.626541i | ||||
\(853\) | −1.27195 | − | 1.27195i | −0.0435507 | − | 0.0435507i | 0.684996 | − | 0.728547i | \(-0.259804\pi\) |
−0.728547 | + | 0.684996i | \(0.759804\pi\) | |||||||
\(854\) | −51.4712 | + | 15.8666i | −1.76131 | + | 0.542943i | ||||
\(855\) | 53.3733 | 1.82533 | ||||||||
\(856\) | 12.5387 | − | 2.20220i | 0.428563 | − | 0.0752696i | ||||
\(857\) | 17.1377 | − | 29.6834i | 0.585412 | − | 1.01396i | −0.409411 | − | 0.912350i | \(-0.634266\pi\) |
0.994824 | − | 0.101614i | \(-0.0324008\pi\) | |||||||
\(858\) | 13.9064 | − | 18.6708i | 0.474757 | − | 0.637411i | ||||
\(859\) | −43.1714 | − | 11.5677i | −1.47299 | − | 0.394686i | −0.569034 | − | 0.822314i | \(-0.692683\pi\) |
−0.903955 | + | 0.427628i | \(0.859349\pi\) | |||||||
\(860\) | −63.3821 | − | 15.0519i | −2.16131 | − | 0.513266i | ||||
\(861\) | −6.81912 | + | 17.5917i | −0.232395 | + | 0.599523i | ||||
\(862\) | 1.41390 | + | 1.78899i | 0.0481576 | + | 0.0609333i | ||||
\(863\) | 32.5858 | − | 18.8134i | 1.10923 | − | 0.640416i | 0.170602 | − | 0.985340i | \(-0.445429\pi\) |
0.938631 | + | 0.344924i | \(0.112095\pi\) | |||||||
\(864\) | −4.02403 | − | 8.03499i | −0.136900 | − | 0.273356i | ||||
\(865\) | −13.4434 | + | 23.2846i | −0.457088 | + | 0.791700i | ||||
\(866\) | 6.83701 | − | 17.1985i | 0.232331 | − | 0.584430i | ||||
\(867\) | 20.9832 | + | 20.9832i | 0.712627 | + | 0.712627i | ||||
\(868\) | −13.7723 | + | 38.7905i | −0.467462 | + | 1.31664i | ||||
\(869\) | −0.838719 | + | 0.838719i | −0.0284516 | + | 0.0284516i | ||||
\(870\) | −23.7094 | + | 10.2209i | −0.803825 | + | 0.346522i | ||||
\(871\) | −10.2477 | − | 5.91651i | −0.347230 | − | 0.200473i | ||||
\(872\) | −5.91515 | − | 7.05906i | −0.200312 | − | 0.239050i | ||||
\(873\) | −10.6092 | − | 18.3756i | −0.359065 | − | 0.621920i | ||||
\(874\) | −14.7952 | − | 1.73269i | −0.500457 | − | 0.0586090i | ||||
\(875\) | −0.603167 | − | 3.89081i | −0.0203908 | − | 0.131533i | ||||
\(876\) | −49.5139 | + | 30.5100i | −1.67292 | + | 1.03084i | ||||
\(877\) | 5.49616 | − | 20.5119i | 0.185592 | − | 0.692639i | −0.808911 | − | 0.587931i | \(-0.799943\pi\) |
0.994503 | − | 0.104708i | \(-0.0333907\pi\) | |||||||
\(878\) | 2.76881 | − | 0.404935i | 0.0934427 | − | 0.0136659i | ||||
\(879\) | 30.7099 | + | 17.7304i | 1.03582 | + | 0.598031i | ||||
\(880\) | 18.7729 | − | 1.07648i | 0.632836 | − | 0.0362880i | ||||
\(881\) | 3.13017i | 0.105458i | 0.998609 | + | 0.0527291i | \(0.0167920\pi\) | ||||
−0.998609 | + | 0.0527291i | \(0.983208\pi\) | |||||||
\(882\) | −15.6677 | − | 32.2026i | −0.527558 | − | 1.08432i | ||||
\(883\) | 5.90657 | − | 5.90657i | 0.198772 | − | 0.198772i | −0.600702 | − | 0.799473i | \(-0.705112\pi\) |
0.799473 | + | 0.600702i | \(0.205112\pi\) | |||||||
\(884\) | 18.1132 | + | 9.77704i | 0.609212 | + | 0.328838i | ||||
\(885\) | 31.3978 | − | 8.41301i | 1.05543 | − | 0.282800i | ||||
\(886\) | 29.3116 | − | 39.3538i | 0.984741 | − | 1.32212i | ||||
\(887\) | 41.9702 | − | 24.2315i | 1.40922 | − | 0.813615i | 0.413908 | − | 0.910318i | \(-0.364163\pi\) |
0.995313 | + | 0.0967040i | \(0.0308300\pi\) | |||||||
\(888\) | 3.23189 | + | 6.94303i | 0.108455 | + | 0.232993i | ||||
\(889\) | −9.59219 | − | 7.01733i | −0.321712 | − | 0.235354i | ||||
\(890\) | −21.8913 | − | 2.56371i | −0.733799 | − | 0.0859359i | ||||
\(891\) | 2.54536 | − | 9.49940i | 0.0852727 | − | 0.318242i | ||||
\(892\) | −25.4369 | − | 24.0201i | −0.851692 | − | 0.804253i | ||||
\(893\) | −12.5597 | + | 3.36536i | −0.420294 | + | 0.112617i | ||||
\(894\) | −28.7298 | − | 11.4211i | −0.960869 | − | 0.381979i | ||||
\(895\) | 62.4941 | 2.08895 | ||||||||
\(896\) | −4.13730 | + | 29.6460i | −0.138217 | + | 0.990402i | ||||
\(897\) | 26.1508 | 0.873151 | ||||||||
\(898\) | 26.3441 | + | 10.4727i | 0.879113 | + | 0.349478i | ||||
\(899\) | 16.4882 | − | 4.41800i | 0.549912 | − | 0.147348i | ||||
\(900\) | −28.7223 | − | 27.1225i | −0.957409 | − | 0.904082i | ||||
\(901\) | 6.94789 | − | 25.9299i | 0.231468 | − | 0.863849i | ||||
\(902\) | −5.65955 | − | 0.662796i | −0.188443 | − | 0.0220687i | ||||
\(903\) | −62.7105 | + | 27.6744i | −2.08688 | + | 0.920946i | ||||
\(904\) | 13.7740 | + | 29.5904i | 0.458115 | + | 0.984161i | ||||
\(905\) | −24.0513 | + | 13.8860i | −0.799491 | + | 0.461587i | ||||
\(906\) | −22.2496 | + | 29.8723i | −0.739192 | + | 0.992442i | ||||
\(907\) | 36.1999 | − | 9.69974i | 1.20200 | − | 0.322075i | 0.398381 | − | 0.917220i | \(-0.369572\pi\) |
0.803618 | + | 0.595146i | \(0.202906\pi\) | |||||||
\(908\) | −30.8459 | − | 16.6498i | −1.02366 | − | 0.552544i | ||||
\(909\) | 3.69271 | − | 3.69271i | 0.122480 | − | 0.122480i | ||||
\(910\) | 47.0994 | + | 24.9036i | 1.56133 | + | 0.825547i | ||||
\(911\) | − | 12.0871i | − | 0.400463i | −0.979749 | − | 0.200231i | \(-0.935831\pi\) | ||
0.979749 | − | 0.200231i | \(-0.0641694\pi\) | |||||||
\(912\) | −46.8639 | + | 2.68726i | −1.55182 | + | 0.0889842i | ||||
\(913\) | 4.72253 | + | 2.72656i | 0.156293 | + | 0.0902358i | ||||
\(914\) | 41.9882 | − | 6.14073i | 1.38885 | − | 0.203117i | ||||
\(915\) | −30.9974 | + | 115.684i | −1.02474 | + | 3.82439i | ||||
\(916\) | 11.9027 | − | 7.33431i | 0.393276 | − | 0.242332i | ||||
\(917\) | 22.9381 | + | 28.5169i | 0.757481 | + | 0.941712i | ||||
\(918\) | −5.21599 | − | 0.610849i | −0.172153 | − | 0.0201610i | ||||
\(919\) | 27.6308 | + | 47.8579i | 0.911455 | + | 1.57869i | 0.812010 | + | 0.583643i | \(0.198373\pi\) |
0.0994447 | + | 0.995043i | \(0.468293\pi\) | |||||||
\(920\) | 13.5661 | + | 16.1896i | 0.447260 | + | 0.533754i | ||||
\(921\) | −64.8188 | − | 37.4231i | −2.13585 | − | 1.23313i | ||||
\(922\) | −33.4876 | + | 14.4362i | −1.10286 | + | 0.475432i | ||||
\(923\) | −23.2971 | + | 23.2971i | −0.766833 | + | 0.766833i | ||||
\(924\) | 15.0554 | − | 12.8372i | 0.495287 | − | 0.422313i | ||||
\(925\) | 4.06379 | + | 4.06379i | 0.133617 | + | 0.133617i | ||||
\(926\) | −16.3941 | + | 41.2395i | −0.538744 | + | 1.35521i | ||||
\(927\) | −4.38882 | + | 7.60165i | −0.144148 | + | 0.249671i | ||||
\(928\) | 11.0989 | − | 5.55850i | 0.364340 | − | 0.182467i | ||||
\(929\) | 8.64695 | − | 4.99232i | 0.283697 | − | 0.163793i | −0.351399 | − | 0.936226i | \(-0.614294\pi\) |
0.635096 | + | 0.772433i | \(0.280961\pi\) | |||||||
\(930\) | 56.7533 | + | 71.8094i | 1.86101 | + | 2.35472i | ||||
\(931\) | −31.8996 | + | 1.46199i | −1.04547 | + | 0.0479147i | ||||
\(932\) | −56.3824 | − | 13.3896i | −1.84687 | − | 0.438592i | ||||
\(933\) | −1.42103 | − | 0.380765i | −0.0465226 | − | 0.0124657i | ||||
\(934\) | −20.1421 | + | 27.0429i | −0.659071 | + | 0.884871i | ||||
\(935\) | 5.49450 | − | 9.51675i | 0.179689 | − | 0.311231i | ||||
\(936\) | 44.3686 | − | 7.79255i | 1.45023 | − | 0.254708i | ||||
\(937\) | 7.92416 | 0.258871 | 0.129436 | − | 0.991588i | \(-0.458683\pi\) | ||||
0.129436 | + | 0.991588i | \(0.458683\pi\) | |||||||
\(938\) | −7.37066 | − | 6.84145i | −0.240661 | − | 0.223381i | ||||
\(939\) | 2.57311 | + | 2.57311i | 0.0839703 | + | 0.0839703i | ||||
\(940\) | 16.2244 | + | 8.75751i | 0.529180 | + | 0.285638i | ||||
\(941\) | 1.63637 | + | 6.10702i | 0.0533441 | + | 0.199083i | 0.987455 | − | 0.157900i | \(-0.0504722\pi\) |
−0.934111 | + | 0.356983i | \(0.883806\pi\) | |||||||
\(942\) | −7.72940 | − | 52.8510i | −0.251838 | − | 1.72198i | ||||
\(943\) | −3.20038 | − | 5.54321i | −0.104219 | − | 0.180512i | ||||
\(944\) | −14.8390 | + | 4.90232i | −0.482969 | + | 0.159557i | ||||
\(945\) | −13.5141 | − | 1.46523i | −0.439613 | − | 0.0476638i | ||||
\(946\) | −12.8365 | − | 16.2419i | −0.417351 | − | 0.528070i | ||||
\(947\) | 10.9891 | + | 2.94453i | 0.357098 | + | 0.0956843i | 0.432908 | − | 0.901438i | \(-0.357487\pi\) |
−0.0758096 | + | 0.997122i | \(0.524154\pi\) | |||||||
\(948\) | −4.19677 | + | 0.120227i | −0.136305 | + | 0.00390478i | ||||
\(949\) | −12.8811 | − | 48.0727i | −0.418137 | − | 1.56051i | ||||
\(950\) | −32.3480 | + | 13.9450i | −1.04951 | + | 0.452434i | ||||
\(951\) | 67.3561i | 2.18417i | ||||||||
\(952\) | 13.1567 | + | 11.5286i | 0.426412 | + | 0.373645i | ||||
\(953\) | − | 12.7329i | − | 0.412460i | −0.978504 | − | 0.206230i | \(-0.933880\pi\) | ||
0.978504 | − | 0.206230i | \(-0.0661195\pi\) | |||||||
\(954\) | −23.2577 | − | 53.9508i | −0.752997 | − | 1.74672i | ||||
\(955\) | −12.7304 | − | 47.5105i | −0.411946 | − | 1.53741i | ||||
\(956\) | 18.3434 | − | 19.4254i | 0.593267 | − | 0.628261i | ||||
\(957\) | −7.92522 | − | 2.12356i | −0.256186 | − | 0.0686448i | ||||
\(958\) | 39.2294 | − | 31.0042i | 1.26744 | − | 1.00170i | ||||
\(959\) | 6.10489 | − | 2.69411i | 0.197137 | − | 0.0869974i | ||||
\(960\) | 50.9294 | + | 42.8519i | 1.64374 | + | 1.38304i | ||||
\(961\) | −14.7568 | − | 25.5595i | −0.476025 | − | 0.824500i | ||||
\(962\) | −6.48453 | + | 0.948356i | −0.209070 | + | 0.0305762i | ||||
\(963\) | −4.21417 | − | 15.7275i | −0.135800 | − | 0.506812i | ||||
\(964\) | 6.97792 | + | 23.3460i | 0.224744 | + | 0.751925i | ||||
\(965\) | −51.4090 | − | 51.4090i | −1.65491 | − | 1.65491i | ||||
\(966\) | 21.6665 | + | 4.94936i | 0.697109 | + | 0.159243i | ||||
\(967\) | −10.6644 | −0.342944 | −0.171472 | − | 0.985189i | \(-0.554852\pi\) | ||||
−0.171472 | + | 0.985189i | \(0.554852\pi\) | |||||||
\(968\) | −20.5814 | − | 14.4319i | −0.661512 | − | 0.463860i | ||||
\(969\) | −13.7162 | + | 23.7571i | −0.440628 | + | 0.763190i | ||||
\(970\) | 21.5154 | + | 16.0252i | 0.690819 | + | 0.514537i | ||||
\(971\) | 2.22623 | + | 0.596517i | 0.0714431 | + | 0.0191431i | 0.294364 | − | 0.955694i | \(-0.404892\pi\) |
−0.222920 | + | 0.974837i | \(0.571559\pi\) | |||||||
\(972\) | 37.7509 | − | 23.2617i | 1.21086 | − | 0.746119i | ||||
\(973\) | 3.44137 | + | 22.1990i | 0.110325 | + | 0.711669i | ||||
\(974\) | 11.7866 | − | 9.31532i | 0.377666 | − | 0.298482i | ||||
\(975\) | 53.5546 | − | 30.9198i | 1.71512 | − | 0.990225i | ||||
\(976\) | 11.6944 | − | 56.3801i | 0.374328 | − | 1.80468i | ||||
\(977\) | 7.66274 | − | 13.2723i | 0.245153 | − | 0.424617i | −0.717022 | − | 0.697051i | \(-0.754495\pi\) |
0.962175 | + | 0.272434i | \(0.0878286\pi\) | |||||||
\(978\) | −77.7148 | − | 30.8943i | −2.48505 | − | 0.987892i | ||||
\(979\) | −4.95277 | − | 4.95277i | −0.158291 | − | 0.158291i | ||||
\(980\) | 34.3095 | + | 29.5473i | 1.09598 | + | 0.943854i | ||||
\(981\) | −8.32913 | + | 8.32913i | −0.265929 | + | 0.265929i | ||||
\(982\) | 21.3050 | + | 49.4210i | 0.679869 | + | 1.57709i | ||||
\(983\) | 16.1184 | + | 9.30595i | 0.514097 | + | 0.296814i | 0.734516 | − | 0.678591i | \(-0.237409\pi\) |
−0.220419 | + | 0.975405i | \(0.570743\pi\) | |||||||
\(984\) | −12.9545 | − | 15.4597i | −0.412974 | − | 0.492837i | ||||
\(985\) | −19.0177 | − | 32.9396i | −0.605954 | − | 1.04954i | ||||
\(986\) | 0.843782 | − | 7.20498i | 0.0268715 | − | 0.229453i | ||||
\(987\) | 19.1705 | − | 2.97187i | 0.610202 | − | 0.0945956i | ||||
\(988\) | 9.28110 | − | 39.0818i | 0.295271 | − | 1.24336i | ||||
\(989\) | 6.01867 | − | 22.4620i | 0.191383 | − | 0.714249i | ||||
\(990\) | −3.48024 | − | 23.7967i | −0.110609 | − | 0.756309i | ||||
\(991\) | −23.7555 | − | 13.7153i | −0.754619 | − | 0.435680i | 0.0727413 | − | 0.997351i | \(-0.476825\pi\) |
−0.827361 | + | 0.561671i | \(0.810159\pi\) | |||||||
\(992\) | −29.2174 | − | 32.9056i | −0.927652 | − | 1.04475i | ||||
\(993\) | − | 7.22736i | − | 0.229353i | ||||||
\(994\) | −23.7114 | + | 14.8929i | −0.752080 | + | 0.472373i | ||||
\(995\) | −23.3727 | + | 23.3727i | −0.740965 | + | 0.740965i | ||||
\(996\) | 5.52761 | + | 18.4937i | 0.175149 | + | 0.585997i | ||||
\(997\) | 18.7595 | − | 5.02660i | 0.594120 | − | 0.159194i | 0.0507843 | − | 0.998710i | \(-0.483828\pi\) |
0.543335 | + | 0.839516i | \(0.317161\pi\) | |||||||
\(998\) | −14.3770 | − | 10.7083i | −0.455096 | − | 0.338965i | ||||
\(999\) | 1.44804 | − | 0.836028i | 0.0458140 | − | 0.0264507i |
(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 | 112.2.v.a.3.13 | ✓ | 56 | |
4.3 | odd | 2 | 448.2.z.a.367.12 | 56 | |||
7.2 | even | 3 | 784.2.w.f.19.7 | 56 | |||
7.3 | odd | 6 | 784.2.j.a.195.5 | 56 | |||
7.4 | even | 3 | 784.2.j.a.195.6 | 56 | |||
7.5 | odd | 6 | inner | 112.2.v.a.19.7 | yes | 56 | |
7.6 | odd | 2 | 784.2.w.f.227.13 | 56 | |||
8.3 | odd | 2 | 896.2.z.a.479.3 | 56 | |||
8.5 | even | 2 | 896.2.z.b.479.12 | 56 | |||
16.3 | odd | 4 | 896.2.z.b.31.12 | 56 | |||
16.5 | even | 4 | 448.2.z.a.143.12 | 56 | |||
16.11 | odd | 4 | inner | 112.2.v.a.59.7 | yes | 56 | |
16.13 | even | 4 | 896.2.z.a.31.3 | 56 | |||
28.19 | even | 6 | 448.2.z.a.47.12 | 56 | |||
56.5 | odd | 6 | 896.2.z.b.607.12 | 56 | |||
56.19 | even | 6 | 896.2.z.a.607.3 | 56 | |||
112.5 | odd | 12 | 448.2.z.a.271.12 | 56 | |||
112.11 | odd | 12 | 784.2.j.a.587.5 | 56 | |||
112.19 | even | 12 | 896.2.z.b.159.12 | 56 | |||
112.27 | even | 4 | 784.2.w.f.619.7 | 56 | |||
112.59 | even | 12 | 784.2.j.a.587.6 | 56 | |||
112.61 | odd | 12 | 896.2.z.a.159.3 | 56 | |||
112.75 | even | 12 | inner | 112.2.v.a.75.13 | yes | 56 | |
112.107 | odd | 12 | 784.2.w.f.411.13 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.v.a.3.13 | ✓ | 56 | 1.1 | even | 1 | trivial | |
112.2.v.a.19.7 | yes | 56 | 7.5 | odd | 6 | inner | |
112.2.v.a.59.7 | yes | 56 | 16.11 | odd | 4 | inner | |
112.2.v.a.75.13 | yes | 56 | 112.75 | even | 12 | inner | |
448.2.z.a.47.12 | 56 | 28.19 | even | 6 | |||
448.2.z.a.143.12 | 56 | 16.5 | even | 4 | |||
448.2.z.a.271.12 | 56 | 112.5 | odd | 12 | |||
448.2.z.a.367.12 | 56 | 4.3 | odd | 2 | |||
784.2.j.a.195.5 | 56 | 7.3 | odd | 6 | |||
784.2.j.a.195.6 | 56 | 7.4 | even | 3 | |||
784.2.j.a.587.5 | 56 | 112.11 | odd | 12 | |||
784.2.j.a.587.6 | 56 | 112.59 | even | 12 | |||
784.2.w.f.19.7 | 56 | 7.2 | even | 3 | |||
784.2.w.f.227.13 | 56 | 7.6 | odd | 2 | |||
784.2.w.f.411.13 | 56 | 112.107 | odd | 12 | |||
784.2.w.f.619.7 | 56 | 112.27 | even | 4 | |||
896.2.z.a.31.3 | 56 | 16.13 | even | 4 | |||
896.2.z.a.159.3 | 56 | 112.61 | odd | 12 | |||
896.2.z.a.479.3 | 56 | 8.3 | odd | 2 | |||
896.2.z.a.607.3 | 56 | 56.19 | even | 6 | |||
896.2.z.b.31.12 | 56 | 16.3 | odd | 4 | |||
896.2.z.b.159.12 | 56 | 112.19 | even | 12 | |||
896.2.z.b.479.12 | 56 | 8.5 | even | 2 | |||
896.2.z.b.607.12 | 56 | 56.5 | odd | 6 |