Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,2,Mod(5,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 6, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bo (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: | \(2.68297350792\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 5.14 | ||
Character | \(\chi\) | \(=\) | 336.5 |
Dual form | 336.2.bo.a.269.14 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.05796 | − | 0.938469i | −0.748090 | − | 0.663597i | ||||
\(3\) | −1.55615 | − | 0.760516i | −0.898446 | − | 0.439084i | ||||
\(4\) | 0.238553 | + | 1.98572i | 0.119277 | + | 0.992861i | ||||
\(5\) | −0.772302 | + | 0.206938i | −0.345384 | + | 0.0925453i | −0.427341 | − | 0.904091i | \(-0.640550\pi\) |
0.0819572 | + | 0.996636i | \(0.473883\pi\) | |||||||
\(6\) | 0.932627 | + | 2.26500i | 0.380743 | + | 0.924681i | ||||
\(7\) | 1.91339 | − | 1.82728i | 0.723192 | − | 0.690647i | ||||
\(8\) | 1.61116 | − | 2.32469i | 0.569630 | − | 0.821901i | ||||
\(9\) | 1.84323 | + | 2.36696i | 0.614411 | + | 0.788986i | ||||
\(10\) | 1.01127 | + | 0.505849i | 0.319791 | + | 0.159964i | ||||
\(11\) | 3.96651 | + | 1.06282i | 1.19595 | + | 0.320453i | 0.801234 | − | 0.598351i | \(-0.204177\pi\) |
0.394714 | + | 0.918804i | \(0.370844\pi\) | |||||||
\(12\) | 1.13895 | − | 3.27151i | 0.328786 | − | 0.944405i | ||||
\(13\) | −4.84304 | − | 4.84304i | −1.34322 | − | 1.34322i | −0.892835 | − | 0.450384i | \(-0.851287\pi\) |
−0.450384 | − | 0.892835i | \(-0.648713\pi\) | |||||||
\(14\) | −3.73913 | + | 0.137532i | −0.999324 | + | 0.0367569i | ||||
\(15\) | 1.35920 | + | 0.265321i | 0.350944 | + | 0.0685055i | ||||
\(16\) | −3.88618 | + | 0.947402i | −0.971546 | + | 0.236850i | ||||
\(17\) | −1.28146 | − | 2.21956i | −0.310800 | − | 0.538322i | 0.667736 | − | 0.744398i | \(-0.267264\pi\) |
−0.978536 | + | 0.206077i | \(0.933930\pi\) | |||||||
\(18\) | 0.271254 | − | 4.23396i | 0.0639351 | − | 0.997954i | ||||
\(19\) | −2.65990 | + | 0.712717i | −0.610222 | + | 0.163509i | −0.550679 | − | 0.834717i | \(-0.685631\pi\) |
−0.0595434 | + | 0.998226i | \(0.518964\pi\) | |||||||
\(20\) | −0.595156 | − | 1.48421i | −0.133081 | − | 0.331880i | ||||
\(21\) | −4.36720 | + | 1.38837i | −0.953001 | + | 0.302966i | ||||
\(22\) | −3.19898 | − | 4.84687i | −0.682024 | − | 1.03336i | ||||
\(23\) | 1.87046 | − | 3.23974i | 0.390019 | − | 0.675533i | −0.602433 | − | 0.798170i | \(-0.705802\pi\) |
0.992452 | + | 0.122637i | \(0.0391351\pi\) | |||||||
\(24\) | −4.27517 | + | 2.39226i | −0.872666 | + | 0.488318i | ||||
\(25\) | −3.77650 | + | 2.18036i | −0.755300 | + | 0.436073i | ||||
\(26\) | 0.578696 | + | 9.66879i | 0.113492 | + | 1.89620i | ||||
\(27\) | −1.06824 | − | 5.08516i | −0.205584 | − | 0.978640i | ||||
\(28\) | 4.08491 | + | 3.36355i | 0.771976 | + | 0.635652i | ||||
\(29\) | −3.81398 | − | 3.81398i | −0.708238 | − | 0.708238i | 0.257926 | − | 0.966165i | \(-0.416961\pi\) |
−0.966165 | + | 0.257926i | \(0.916961\pi\) | |||||||
\(30\) | −1.18898 | − | 1.55626i | −0.217077 | − | 0.284134i | ||||
\(31\) | 3.73448 | − | 2.15610i | 0.670732 | − | 0.387247i | −0.125622 | − | 0.992078i | \(-0.540093\pi\) |
0.796354 | + | 0.604831i | \(0.206759\pi\) | |||||||
\(32\) | 5.00053 | + | 2.64475i | 0.883977 | + | 0.467530i | ||||
\(33\) | −5.36421 | − | 4.67051i | −0.933789 | − | 0.813031i | ||||
\(34\) | −0.727251 | + | 3.55081i | −0.124722 | + | 0.608959i | ||||
\(35\) | −1.09958 | + | 1.80716i | −0.185863 | + | 0.305466i | ||||
\(36\) | −4.26041 | + | 4.22479i | −0.710069 | + | 0.704132i | ||||
\(37\) | 0.311632 | − | 0.0835015i | 0.0512320 | − | 0.0137276i | −0.233112 | − | 0.972450i | \(-0.574891\pi\) |
0.284344 | + | 0.958722i | \(0.408224\pi\) | |||||||
\(38\) | 3.48292 | + | 1.74220i | 0.565005 | + | 0.282623i | ||||
\(39\) | 3.85331 | + | 11.2197i | 0.617024 | + | 1.79660i | ||||
\(40\) | −0.763235 | + | 2.12877i | −0.120678 | + | 0.336588i | ||||
\(41\) | − | 5.77477i | − | 0.901867i | −0.892558 | − | 0.450933i | \(-0.851091\pi\) | ||
0.892558 | − | 0.450933i | \(-0.148909\pi\) | |||||||
\(42\) | 5.92326 | + | 2.62965i | 0.913978 | + | 0.405763i | ||||
\(43\) | −5.64901 | − | 5.64901i | −0.861466 | − | 0.861466i | 0.130042 | − | 0.991508i | \(-0.458489\pi\) |
−0.991508 | + | 0.130042i | \(0.958489\pi\) | |||||||
\(44\) | −1.16425 | + | 8.12993i | −0.175517 | + | 1.22563i | ||||
\(45\) | −1.91334 | − | 1.44657i | −0.285224 | − | 0.215642i | ||||
\(46\) | −5.01927 | + | 1.67214i | −0.740051 | + | 0.246543i | ||||
\(47\) | −1.69030 | + | 2.92769i | −0.246556 | + | 0.427047i | −0.962568 | − | 0.271041i | \(-0.912632\pi\) |
0.716012 | + | 0.698088i | \(0.245966\pi\) | |||||||
\(48\) | 6.76802 | + | 1.48120i | 0.976879 | + | 0.213793i | ||||
\(49\) | 0.322103 | − | 6.99259i | 0.0460147 | − | 0.998941i | ||||
\(50\) | 6.04158 | + | 1.23739i | 0.854409 | + | 0.174994i | ||||
\(51\) | 0.306144 | + | 4.42855i | 0.0428688 | + | 0.620120i | ||||
\(52\) | 8.46161 | − | 10.7723i | 1.17341 | − | 1.49384i | ||||
\(53\) | −6.21901 | − | 1.66638i | −0.854247 | − | 0.228895i | −0.194983 | − | 0.980807i | \(-0.562465\pi\) |
−0.659264 | + | 0.751912i | \(0.729132\pi\) | |||||||
\(54\) | −3.64211 | + | 6.38240i | −0.495628 | + | 0.868535i | ||||
\(55\) | −3.28328 | −0.442717 | ||||||||
\(56\) | −1.16508 | − | 7.39206i | −0.155691 | − | 0.987806i | ||||
\(57\) | 4.68124 | + | 0.913796i | 0.620046 | + | 0.121035i | ||||
\(58\) | 0.455733 | + | 7.61434i | 0.0598407 | + | 0.999811i | ||||
\(59\) | 0.0299734 | − | 0.111862i | 0.00390220 | − | 0.0145632i | −0.963947 | − | 0.266093i | \(-0.914267\pi\) |
0.967849 | + | 0.251530i | \(0.0809337\pi\) | |||||||
\(60\) | −0.202611 | + | 2.76229i | −0.0261570 | + | 0.356610i | ||||
\(61\) | 11.4397 | − | 3.06526i | 1.46470 | − | 0.392466i | 0.563591 | − | 0.826054i | \(-0.309419\pi\) |
0.901111 | + | 0.433588i | \(0.142753\pi\) | |||||||
\(62\) | −5.97436 | − | 1.22362i | −0.758744 | − | 0.155400i | ||||
\(63\) | 7.85191 | + | 1.16081i | 0.989248 | + | 0.146248i | ||||
\(64\) | −2.80834 | − | 7.49088i | −0.351042 | − | 0.936360i | ||||
\(65\) | 4.74250 | + | 2.73808i | 0.588234 | + | 0.339617i | ||||
\(66\) | 1.29198 | + | 9.97535i | 0.159032 | + | 1.22788i | ||||
\(67\) | −0.567353 | − | 0.152022i | −0.0693133 | − | 0.0185724i | 0.223996 | − | 0.974590i | \(-0.428090\pi\) |
−0.293309 | + | 0.956018i | \(0.594756\pi\) | |||||||
\(68\) | 4.10173 | − | 3.07411i | 0.497407 | − | 0.372791i | ||||
\(69\) | −5.37460 | + | 3.61902i | −0.647026 | + | 0.435678i | ||||
\(70\) | 2.85927 | − | 0.879982i | 0.341749 | − | 0.105178i | ||||
\(71\) | 9.98237 | 1.18469 | 0.592344 | − | 0.805685i | \(-0.298202\pi\) | ||||
0.592344 | + | 0.805685i | \(0.298202\pi\) | |||||||
\(72\) | 8.47218 | − | 0.471391i | 0.998456 | − | 0.0555540i | ||||
\(73\) | 4.62974 | + | 8.01895i | 0.541871 | + | 0.938547i | 0.998797 | + | 0.0490427i | \(0.0156170\pi\) |
−0.456926 | + | 0.889505i | \(0.651050\pi\) | |||||||
\(74\) | −0.408057 | − | 0.204116i | −0.0474357 | − | 0.0237280i | ||||
\(75\) | 7.53502 | − | 0.520894i | 0.870069 | − | 0.0601477i | ||||
\(76\) | −2.04979 | − | 5.11180i | −0.235127 | − | 0.586363i | ||||
\(77\) | 9.53154 | − | 5.21433i | 1.08622 | − | 0.594228i | ||||
\(78\) | 6.45272 | − | 15.4862i | 0.730627 | − | 1.75347i | ||||
\(79\) | 6.10009 | − | 10.5657i | 0.686314 | − | 1.18873i | −0.286708 | − | 0.958018i | \(-0.592561\pi\) |
0.973022 | − | 0.230713i | \(-0.0741057\pi\) | |||||||
\(80\) | 2.80525 | − | 1.53588i | 0.313637 | − | 0.171716i | ||||
\(81\) | −2.20499 | + | 8.72571i | −0.244999 | + | 0.969523i | ||||
\(82\) | −5.41944 | + | 6.10946i | −0.598477 | + | 0.674677i | ||||
\(83\) | 2.68177 | − | 2.68177i | 0.294362 | − | 0.294362i | −0.544439 | − | 0.838801i | \(-0.683257\pi\) |
0.838801 | + | 0.544439i | \(0.183257\pi\) | |||||||
\(84\) | −3.79872 | − | 8.34085i | −0.414474 | − | 0.910061i | ||||
\(85\) | 1.44898 | + | 1.44898i | 0.157164 | + | 0.157164i | ||||
\(86\) | 0.675001 | + | 11.2778i | 0.0727873 | + | 1.21612i | ||||
\(87\) | 3.03455 | + | 8.83573i | 0.325338 | + | 0.947290i | ||||
\(88\) | 8.86140 | − | 7.50852i | 0.944629 | − | 0.800411i | ||||
\(89\) | −11.2991 | − | 6.52354i | −1.19770 | − | 0.691494i | −0.237660 | − | 0.971348i | \(-0.576380\pi\) |
−0.960042 | + | 0.279855i | \(0.909714\pi\) | |||||||
\(90\) | 0.666676 | + | 3.32603i | 0.0702738 | + | 0.350594i | ||||
\(91\) | −18.1162 | − | 0.417027i | −1.89910 | − | 0.0437163i | ||||
\(92\) | 6.87943 | + | 2.94137i | 0.717230 | + | 0.306659i | ||||
\(93\) | −7.45117 | + | 0.515098i | −0.772651 | + | 0.0534132i | ||||
\(94\) | 4.53581 | − | 1.51108i | 0.467833 | − | 0.155856i | ||||
\(95\) | 1.90675 | − | 1.10087i | 0.195629 | − | 0.112946i | ||||
\(96\) | −5.77022 | − | 7.91862i | −0.588921 | − | 0.808191i | ||||
\(97\) | 15.2445i | 1.54784i | 0.633283 | + | 0.773921i | \(0.281707\pi\) | ||||
−0.633283 | + | 0.773921i | \(0.718293\pi\) | |||||||
\(98\) | −6.90309 | + | 7.09558i | −0.697318 | + | 0.716762i | ||||
\(99\) | 4.79554 | + | 11.3476i | 0.481970 | + | 1.14048i | ||||
\(100\) | −5.23049 | − | 6.97895i | −0.523049 | − | 0.697895i | ||||
\(101\) | −4.52681 | + | 16.8943i | −0.450435 | + | 1.68105i | 0.250739 | + | 0.968055i | \(0.419327\pi\) |
−0.701173 | + | 0.712991i | \(0.747340\pi\) | |||||||
\(102\) | 3.83216 | − | 4.97252i | 0.379441 | − | 0.492353i | ||||
\(103\) | 4.12459 | − | 7.14401i | 0.406408 | − | 0.703920i | −0.588076 | − | 0.808806i | \(-0.700114\pi\) |
0.994484 | + | 0.104886i | \(0.0334477\pi\) | |||||||
\(104\) | −19.0615 | + | 3.45565i | −1.86913 | + | 0.338855i | ||||
\(105\) | 3.08549 | − | 1.97598i | 0.301113 | − | 0.192835i | ||||
\(106\) | 5.01561 | + | 7.59931i | 0.487159 | + | 0.738110i | ||||
\(107\) | 3.55532 | + | 13.2686i | 0.343706 | + | 1.28273i | 0.894117 | + | 0.447834i | \(0.147804\pi\) |
−0.550411 | + | 0.834894i | \(0.685529\pi\) | |||||||
\(108\) | 9.84288 | − | 3.33432i | 0.947132 | − | 0.320845i | ||||
\(109\) | 0.472606 | + | 0.126634i | 0.0452675 | + | 0.0121294i | 0.281382 | − | 0.959596i | \(-0.409207\pi\) |
−0.236114 | + | 0.971725i | \(0.575874\pi\) | |||||||
\(110\) | 3.47357 | + | 3.08125i | 0.331192 | + | 0.293786i | ||||
\(111\) | −0.548452 | − | 0.107060i | −0.0520567 | − | 0.0101617i | ||||
\(112\) | −5.70461 | + | 8.91389i | −0.539035 | + | 0.842283i | ||||
\(113\) | − | 7.82950i | − | 0.736537i | −0.929719 | − | 0.368269i | \(-0.879951\pi\) | ||
0.929719 | − | 0.368269i | \(-0.120049\pi\) | |||||||
\(114\) | −4.09499 | − | 5.35996i | −0.383531 | − | 0.502006i | ||||
\(115\) | −0.774139 | + | 2.88913i | −0.0721888 | + | 0.269412i | ||||
\(116\) | 6.66367 | − | 8.48334i | 0.618706 | − | 0.787659i | ||||
\(117\) | 2.53644 | − | 20.3901i | 0.234494 | − | 1.88507i | ||||
\(118\) | −0.136690 | + | 0.0902165i | −0.0125833 | + | 0.00830510i | ||||
\(119\) | −6.50768 | − | 1.90528i | −0.596558 | − | 0.174657i | ||||
\(120\) | 2.80667 | − | 2.73224i | 0.256213 | − | 0.249418i | ||||
\(121\) | 5.07733 | + | 2.93140i | 0.461575 | + | 0.266490i | ||||
\(122\) | −14.9794 | − | 7.49288i | −1.35617 | − | 0.678373i | ||||
\(123\) | −4.39180 | + | 8.98643i | −0.395995 | + | 0.810279i | ||||
\(124\) | 5.17229 | + | 6.90129i | 0.464486 | + | 0.619754i | ||||
\(125\) | 5.29222 | − | 5.29222i | 0.473350 | − | 0.473350i | ||||
\(126\) | −7.21761 | − | 8.59686i | −0.642996 | − | 0.765869i | ||||
\(127\) | −2.26444 | −0.200936 | −0.100468 | − | 0.994940i | \(-0.532034\pi\) | ||||
−0.100468 | + | 0.994940i | \(0.532034\pi\) | |||||||
\(128\) | −4.05885 | + | 10.5606i | −0.358755 | + | 0.933432i | ||||
\(129\) | 4.49457 | + | 13.0869i | 0.395725 | + | 1.15224i | ||||
\(130\) | −2.44776 | − | 7.34746i | −0.214683 | − | 0.644415i | ||||
\(131\) | −0.177292 | − | 0.661664i | −0.0154901 | − | 0.0578099i | 0.957748 | − | 0.287608i | \(-0.0928600\pi\) |
−0.973238 | + | 0.229798i | \(0.926193\pi\) | |||||||
\(132\) | 7.99468 | − | 11.7660i | 0.695848 | − | 1.02410i | ||||
\(133\) | −3.78708 | + | 6.22408i | −0.328382 | + | 0.539696i | ||||
\(134\) | 0.457569 | + | 0.693276i | 0.0395279 | + | 0.0598899i | ||||
\(135\) | 1.87732 | + | 3.70622i | 0.161574 | + | 0.318980i | ||||
\(136\) | −7.22441 | − | 0.597060i | −0.619488 | − | 0.0511974i | ||||
\(137\) | 4.89004 | + | 8.46980i | 0.417784 | + | 0.723624i | 0.995716 | − | 0.0924613i | \(-0.0294735\pi\) |
−0.577932 | + | 0.816085i | \(0.696140\pi\) | |||||||
\(138\) | 9.08244 | + | 1.21513i | 0.773149 | + | 0.103438i | ||||
\(139\) | 4.78683 | − | 4.78683i | 0.406014 | − | 0.406014i | −0.474332 | − | 0.880346i | \(-0.657310\pi\) |
0.880346 | + | 0.474332i | \(0.157310\pi\) | |||||||
\(140\) | −3.85083 | − | 1.75235i | −0.325455 | − | 0.148101i | ||||
\(141\) | 4.85692 | − | 3.27043i | 0.409027 | − | 0.275420i | ||||
\(142\) | −10.5609 | − | 9.36814i | −0.886254 | − | 0.786157i | ||||
\(143\) | −14.0627 | − | 24.3573i | −1.17598 | − | 2.03686i | ||||
\(144\) | −9.40560 | − | 7.45216i | −0.783800 | − | 0.621013i | ||||
\(145\) | 3.73480 | + | 2.15629i | 0.310158 | + | 0.179070i | ||||
\(146\) | 2.62746 | − | 12.8286i | 0.217450 | − | 1.06170i | ||||
\(147\) | −5.81921 | + | 10.6366i | −0.479961 | + | 0.877290i | ||||
\(148\) | 0.240152 | + | 0.598895i | 0.0197404 | + | 0.0492289i | ||||
\(149\) | −2.24500 | − | 8.37845i | −0.183918 | − | 0.686389i | −0.994860 | − | 0.101263i | \(-0.967712\pi\) |
0.810942 | − | 0.585126i | \(-0.198955\pi\) | |||||||
\(150\) | −8.46058 | − | 6.52029i | −0.690804 | − | 0.532380i | ||||
\(151\) | −5.04431 | + | 2.91233i | −0.410500 | + | 0.237002i | −0.691005 | − | 0.722850i | \(-0.742832\pi\) |
0.280505 | + | 0.959853i | \(0.409498\pi\) | |||||||
\(152\) | −2.62867 | + | 7.33173i | −0.213213 | + | 0.594682i | ||||
\(153\) | 2.89157 | − | 7.12433i | 0.233770 | − | 0.575968i | ||||
\(154\) | −14.9775 | − | 3.42851i | −1.20692 | − | 0.276277i | ||||
\(155\) | −2.43797 | + | 2.43797i | −0.195822 | + | 0.195822i | ||||
\(156\) | −21.3601 | + | 10.3281i | −1.71017 | + | 0.826911i | ||||
\(157\) | 0.401938 | − | 1.50005i | 0.0320781 | − | 0.119717i | −0.948030 | − | 0.318180i | \(-0.896928\pi\) |
0.980108 | + | 0.198463i | \(0.0635950\pi\) | |||||||
\(158\) | −16.3692 | + | 5.45330i | −1.30226 | + | 0.433841i | ||||
\(159\) | 8.41043 | + | 7.32280i | 0.666991 | + | 0.580736i | ||||
\(160\) | −4.40921 | − | 1.00775i | −0.348579 | − | 0.0796694i | ||||
\(161\) | −2.34099 | − | 9.61674i | −0.184495 | − | 0.757905i | ||||
\(162\) | 10.5216 | − | 7.16212i | 0.826655 | − | 0.562710i | ||||
\(163\) | 5.59801 | + | 20.8920i | 0.438470 | + | 1.63639i | 0.732624 | + | 0.680633i | \(0.238295\pi\) |
−0.294155 | + | 0.955758i | \(0.595038\pi\) | |||||||
\(164\) | 11.4671 | − | 1.37759i | 0.895429 | − | 0.107572i | ||||
\(165\) | 5.10929 | + | 2.49699i | 0.397758 | + | 0.194390i | ||||
\(166\) | −5.35395 | + | 0.320445i | −0.415547 | + | 0.0248713i | ||||
\(167\) | − | 7.60648i | − | 0.588607i | −0.955712 | − | 0.294304i | \(-0.904912\pi\) | ||
0.955712 | − | 0.294304i | \(-0.0950877\pi\) | |||||||
\(168\) | −3.80873 | + | 12.3893i | −0.293850 | + | 0.955852i | ||||
\(169\) | 33.9101i | 2.60847i | ||||||||
\(170\) | −0.173139 | − | 2.89279i | −0.0132792 | − | 0.221867i | ||||
\(171\) | −6.58978 | − | 4.98217i | −0.503933 | − | 0.380996i | ||||
\(172\) | 9.86977 | − | 12.5650i | 0.752563 | − | 0.958069i | ||||
\(173\) | −0.681956 | − | 2.54509i | −0.0518482 | − | 0.193500i | 0.935144 | − | 0.354267i | \(-0.115270\pi\) |
−0.986992 | + | 0.160767i | \(0.948603\pi\) | |||||||
\(174\) | 5.08163 | − | 12.1957i | 0.385237 | − | 0.924552i | ||||
\(175\) | −3.24178 | + | 11.0726i | −0.245055 | + | 0.837010i | ||||
\(176\) | −16.4215 | − | 0.372449i | −1.23782 | − | 0.0280744i | ||||
\(177\) | −0.131716 | + | 0.151280i | −0.00990039 | + | 0.0113709i | ||||
\(178\) | 5.83185 | + | 17.5055i | 0.437115 | + | 1.31209i | ||||
\(179\) | 2.18209 | − | 8.14366i | 0.163097 | − | 0.608686i | −0.835178 | − | 0.549979i | \(-0.814636\pi\) |
0.998275 | − | 0.0587066i | \(-0.0186976\pi\) | |||||||
\(180\) | 2.41606 | − | 4.14445i | 0.180082 | − | 0.308909i | ||||
\(181\) | −7.66335 | + | 7.66335i | −0.569612 | + | 0.569612i | −0.932020 | − | 0.362407i | \(-0.881955\pi\) |
0.362407 | + | 0.932020i | \(0.381955\pi\) | |||||||
\(182\) | 18.7748 | + | 17.4427i | 1.39168 | + | 1.29294i | ||||
\(183\) | −20.1331 | − | 3.93005i | −1.48828 | − | 0.290518i | ||||
\(184\) | −4.51777 | − | 9.56798i | −0.333054 | − | 0.705361i | ||||
\(185\) | −0.223394 | + | 0.128977i | −0.0164243 | + | 0.00948256i | ||||
\(186\) | 8.36644 | + | 6.44774i | 0.613457 | + | 0.472771i | ||||
\(187\) | −2.72393 | − | 10.1659i | −0.199194 | − | 0.743401i | ||||
\(188\) | −6.21680 | − | 2.65806i | −0.453407 | − | 0.193859i | ||||
\(189\) | −11.3360 | − | 7.77790i | −0.824570 | − | 0.565759i | ||||
\(190\) | −3.05040 | − | 0.624759i | −0.221299 | − | 0.0453248i | ||||
\(191\) | 15.0326 | + | 8.67905i | 1.08772 | + | 0.627994i | 0.932968 | − | 0.359960i | \(-0.117210\pi\) |
0.154750 | + | 0.987954i | \(0.450543\pi\) | |||||||
\(192\) | −1.32672 | + | 13.7927i | −0.0957478 | + | 0.995406i | ||||
\(193\) | −3.11155 | − | 5.38937i | −0.223974 | − | 0.387935i | 0.732037 | − | 0.681265i | \(-0.238570\pi\) |
−0.956011 | + | 0.293330i | \(0.905237\pi\) | |||||||
\(194\) | 14.3065 | − | 16.1280i | 1.02714 | − | 1.15792i | ||||
\(195\) | −5.29770 | − | 7.86762i | −0.379376 | − | 0.563412i | ||||
\(196\) | 13.9622 | − | 1.02850i | 0.997298 | − | 0.0734642i | ||||
\(197\) | 18.4497 | − | 18.4497i | 1.31449 | − | 1.31449i | 0.396415 | − | 0.918072i | \(-0.370254\pi\) |
0.918072 | − | 0.396415i | \(-0.129746\pi\) | |||||||
\(198\) | 5.57588 | − | 16.5058i | 0.396261 | − | 1.17301i | ||||
\(199\) | 0.589818 | + | 1.02159i | 0.0418111 | + | 0.0724189i | 0.886174 | − | 0.463353i | \(-0.153354\pi\) |
−0.844363 | + | 0.535772i | \(0.820021\pi\) | |||||||
\(200\) | −1.01588 | + | 12.2921i | −0.0718333 | + | 0.869182i | ||||
\(201\) | 0.767274 | + | 0.668051i | 0.0541194 | + | 0.0471207i | ||||
\(202\) | 20.6440 | − | 13.6252i | 1.45250 | − | 0.958666i | ||||
\(203\) | −14.2668 | − | 0.328416i | −1.00134 | − | 0.0230503i | ||||
\(204\) | −8.72083 | + | 1.66436i | −0.610580 | + | 0.116529i | ||||
\(205\) | 1.19502 | + | 4.45986i | 0.0834635 | + | 0.311490i | ||||
\(206\) | −11.0681 | + | 3.68726i | −0.771150 | + | 0.256904i | ||||
\(207\) | 11.1160 | − | 1.54428i | 0.772618 | − | 0.107335i | ||||
\(208\) | 23.4093 | + | 14.2327i | 1.62314 | + | 0.986857i | ||||
\(209\) | −11.3080 | −0.782191 | ||||||||
\(210\) | −5.11871 | − | 0.805135i | −0.353225 | − | 0.0555596i | ||||
\(211\) | 7.21278 | − | 7.21278i | 0.496548 | − | 0.496548i | −0.413813 | − | 0.910362i | \(-0.635803\pi\) |
0.910362 | + | 0.413813i | \(0.135803\pi\) | |||||||
\(212\) | 1.82540 | − | 12.7467i | 0.125369 | − | 0.875450i | ||||
\(213\) | −15.5341 | − | 7.59175i | −1.06438 | − | 0.520178i | ||||
\(214\) | 8.69082 | − | 17.3742i | 0.594092 | − | 1.18768i | ||||
\(215\) | 5.53173 | + | 3.19375i | 0.377261 | + | 0.217812i | ||||
\(216\) | −13.5425 | − | 5.70967i | −0.921451 | − | 0.388494i | ||||
\(217\) | 3.20570 | − | 10.9494i | 0.217617 | − | 0.743293i | ||||
\(218\) | −0.381156 | − | 0.577500i | −0.0258151 | − | 0.0391133i | ||||
\(219\) | −1.10606 | − | 15.9997i | −0.0747404 | − | 1.08116i | ||||
\(220\) | −0.783238 | − | 6.51968i | −0.0528059 | − | 0.439557i | ||||
\(221\) | −4.54324 | + | 16.9556i | −0.305611 | + | 1.14056i | ||||
\(222\) | 0.479767 | + | 0.627970i | 0.0321999 | + | 0.0421466i | ||||
\(223\) | 6.01995i | 0.403126i | 0.979476 | + | 0.201563i | \(0.0646021\pi\) | ||||
−0.979476 | + | 0.201563i | \(0.935398\pi\) | |||||||
\(224\) | 14.4006 | − | 4.07693i | 0.962184 | − | 0.272401i | ||||
\(225\) | −12.1218 | − | 4.91991i | −0.808120 | − | 0.327994i | ||||
\(226\) | −7.34774 | + | 8.28329i | −0.488764 | + | 0.550996i | ||||
\(227\) | 11.3007 | + | 3.02802i | 0.750055 | + | 0.200977i | 0.613542 | − | 0.789662i | \(-0.289744\pi\) |
0.136512 | + | 0.990638i | \(0.456411\pi\) | |||||||
\(228\) | −0.697817 | + | 9.51364i | −0.0462141 | + | 0.630056i | ||||
\(229\) | −1.95196 | − | 7.28481i | −0.128989 | − | 0.481394i | 0.870961 | − | 0.491352i | \(-0.163497\pi\) |
−0.999950 | + | 0.00995758i | \(0.996830\pi\) | |||||||
\(230\) | 3.53036 | − | 2.33007i | 0.232785 | − | 0.153640i | ||||
\(231\) | −18.7981 | + | 0.865409i | −1.23683 | + | 0.0569397i | ||||
\(232\) | −15.0112 | + | 2.72139i | −0.985536 | + | 0.178668i | ||||
\(233\) | −8.48448 | + | 14.6956i | −0.555837 | + | 0.962738i | 0.442001 | + | 0.897015i | \(0.354269\pi\) |
−0.997838 | + | 0.0657233i | \(0.979065\pi\) | |||||||
\(234\) | −21.8190 | + | 19.1916i | −1.42635 | + | 1.25459i | ||||
\(235\) | 0.699574 | − | 2.61085i | 0.0456352 | − | 0.170313i | ||||
\(236\) | 0.229278 | + | 0.0328337i | 0.0149247 | + | 0.00213729i | ||||
\(237\) | −17.5280 | + | 11.8026i | −1.13857 | + | 0.766661i | ||||
\(238\) | 5.09681 | + | 8.12297i | 0.330377 | + | 0.526534i | ||||
\(239\) | − | 1.11687i | − | 0.0722444i | −0.999347 | − | 0.0361222i | \(-0.988499\pi\) | ||
0.999347 | − | 0.0361222i | \(-0.0115005\pi\) | |||||||
\(240\) | −5.53347 | + | 0.256623i | −0.357184 | + | 0.0165649i | ||||
\(241\) | 4.92310 | − | 2.84235i | 0.317125 | − | 0.183092i | −0.332986 | − | 0.942932i | \(-0.608056\pi\) |
0.650110 | + | 0.759840i | \(0.274723\pi\) | |||||||
\(242\) | −2.62058 | − | 7.86621i | −0.168457 | − | 0.505659i | ||||
\(243\) | 10.0673 | − | 11.9016i | 0.645821 | − | 0.763489i | ||||
\(244\) | 8.81572 | + | 21.9848i | 0.564369 | + | 1.40743i | ||||
\(245\) | 1.19827 | + | 5.46704i | 0.0765545 | + | 0.349276i | ||||
\(246\) | 13.0798 | − | 5.38570i | 0.833939 | − | 0.343380i | ||||
\(247\) | 16.3337 | + | 9.43028i | 1.03929 | + | 0.600034i | ||||
\(248\) | 1.00457 | − | 12.1553i | 0.0637904 | − | 0.771863i | ||||
\(249\) | −6.21277 | + | 2.13372i | −0.393718 | + | 0.135219i | ||||
\(250\) | −10.5655 | + | 0.632368i | −0.668223 | + | 0.0399945i | ||||
\(251\) | 3.82022 | + | 3.82022i | 0.241130 | + | 0.241130i | 0.817318 | − | 0.576187i | \(-0.195460\pi\) |
−0.576187 | + | 0.817318i | \(0.695460\pi\) | |||||||
\(252\) | −0.431948 | + | 15.8686i | −0.0272102 | + | 0.999630i | ||||
\(253\) | 10.8625 | − | 10.8625i | 0.682919 | − | 0.682919i | ||||
\(254\) | 2.39568 | + | 2.12510i | 0.150318 | + | 0.133341i | ||||
\(255\) | −1.15287 | − | 3.35682i | −0.0721954 | − | 0.210212i | ||||
\(256\) | 14.2049 | − | 7.36356i | 0.887804 | − | 0.460222i | ||||
\(257\) | −10.9742 | + | 19.0078i | −0.684549 | + | 1.18567i | 0.289029 | + | 0.957320i | \(0.406667\pi\) |
−0.973578 | + | 0.228353i | \(0.926666\pi\) | |||||||
\(258\) | 7.52657 | − | 18.0634i | 0.468584 | − | 1.12458i | ||||
\(259\) | 0.443692 | − | 0.729209i | 0.0275697 | − | 0.0453109i | ||||
\(260\) | −4.30573 | + | 10.0705i | −0.267030 | + | 0.624544i | ||||
\(261\) | 1.99749 | − | 16.0576i | 0.123641 | − | 0.993940i | ||||
\(262\) | −0.433383 | + | 0.866396i | −0.0267745 | + | 0.0535262i | ||||
\(263\) | −9.95172 | − | 17.2369i | −0.613649 | − | 1.06287i | −0.990620 | − | 0.136647i | \(-0.956368\pi\) |
0.376971 | − | 0.926225i | \(-0.376966\pi\) | |||||||
\(264\) | −19.5001 | + | 4.94517i | −1.20015 | + | 0.304354i | ||||
\(265\) | 5.14779 | 0.316226 | ||||||||
\(266\) | 9.84768 | − | 3.03076i | 0.603800 | − | 0.185828i | ||||
\(267\) | 12.6219 | + | 18.7448i | 0.772447 | + | 1.14716i | ||||
\(268\) | 0.166529 | − | 1.16287i | 0.0101724 | − | 0.0710337i | ||||
\(269\) | 25.5554 | + | 6.84756i | 1.55814 | + | 0.417503i | 0.932075 | − | 0.362266i | \(-0.117997\pi\) |
0.626067 | + | 0.779769i | \(0.284664\pi\) | |||||||
\(270\) | 1.49205 | − | 5.68283i | 0.0908030 | − | 0.345846i | ||||
\(271\) | −0.253863 | − | 0.146568i | −0.0154211 | − | 0.00890337i | 0.492270 | − | 0.870443i | \(-0.336167\pi\) |
−0.507691 | + | 0.861539i | \(0.669501\pi\) | |||||||
\(272\) | 7.08281 | + | 7.41155i | 0.429458 | + | 0.449391i | ||||
\(273\) | 27.8745 | + | 14.4266i | 1.68704 | + | 0.873139i | ||||
\(274\) | 2.77518 | − | 13.5498i | 0.167655 | − | 0.818576i | ||||
\(275\) | −17.2969 | + | 4.63468i | −1.04304 | + | 0.279482i | ||||
\(276\) | −8.46849 | − | 9.80914i | −0.509743 | − | 0.590441i | ||||
\(277\) | 0.985453 | − | 3.67776i | 0.0592102 | − | 0.220975i | −0.929981 | − | 0.367608i | \(-0.880177\pi\) |
0.989191 | + | 0.146633i | \(0.0468435\pi\) | |||||||
\(278\) | −9.55657 | + | 0.571980i | −0.573165 | + | 0.0343051i | ||||
\(279\) | 11.9869 | + | 4.86516i | 0.717638 | + | 0.291270i | ||||
\(280\) | 2.42949 | + | 5.46780i | 0.145190 | + | 0.326764i | ||||
\(281\) | 16.9432 | 1.01075 | 0.505373 | − | 0.862901i | \(-0.331355\pi\) | ||||
0.505373 | + | 0.862901i | \(0.331355\pi\) | |||||||
\(282\) | −8.20762 | − | 1.09809i | −0.488757 | − | 0.0653901i | ||||
\(283\) | −6.46182 | − | 1.73144i | −0.384115 | − | 0.102923i | 0.0615938 | − | 0.998101i | \(-0.480382\pi\) |
−0.445709 | + | 0.895178i | \(0.647048\pi\) | |||||||
\(284\) | 2.38133 | + | 19.8222i | 0.141306 | + | 1.17623i | ||||
\(285\) | −3.80443 | + | 0.262999i | −0.225355 | + | 0.0155787i | ||||
\(286\) | −7.98080 | + | 38.9664i | −0.471915 | + | 2.30413i | ||||
\(287\) | −10.5521 | − | 11.0494i | −0.622871 | − | 0.652223i | ||||
\(288\) | 2.95712 | + | 16.7109i | 0.174250 | + | 0.984701i | ||||
\(289\) | 5.21571 | − | 9.03388i | 0.306807 | − | 0.531404i | ||||
\(290\) | −1.92766 | − | 5.78625i | −0.113196 | − | 0.339781i | ||||
\(291\) | 11.5937 | − | 23.7227i | 0.679632 | − | 1.39065i | ||||
\(292\) | −14.8190 | + | 11.1063i | −0.867215 | + | 0.649949i | ||||
\(293\) | 18.4200 | + | 18.4200i | 1.07611 | + | 1.07611i | 0.996854 | + | 0.0792562i | \(0.0252545\pi\) |
0.0792562 | + | 0.996854i | \(0.474745\pi\) | |||||||
\(294\) | 16.1386 | − | 5.79191i | 0.941221 | − | 0.337791i | ||||
\(295\) | 0.0925940i | 0.00539103i | ||||||||
\(296\) | 0.307973 | − | 0.858981i | 0.0179006 | − | 0.0499273i | ||||
\(297\) | 1.16743 | − | 21.3057i | 0.0677411 | − | 1.23628i | ||||
\(298\) | −5.48780 | + | 10.9709i | −0.317900 | + | 0.635528i | ||||
\(299\) | −24.7489 | + | 6.63146i | −1.43127 | + | 0.383507i | ||||
\(300\) | 2.83186 | + | 14.8382i | 0.163497 | + | 0.856683i | ||||
\(301\) | −21.1311 | − | 0.486427i | −1.21797 | − | 0.0280372i | ||||
\(302\) | 8.06980 | + | 1.65280i | 0.464365 | + | 0.0951078i | ||||
\(303\) | 19.8928 | − | 22.8474i | 1.14281 | − | 1.31255i | ||||
\(304\) | 9.66162 | − | 5.28974i | 0.554132 | − | 0.303388i | ||||
\(305\) | −8.20057 | + | 4.73460i | −0.469564 | + | 0.271103i | ||||
\(306\) | −9.74512 | + | 4.82360i | −0.557091 | + | 0.275747i | ||||
\(307\) | −8.09356 | − | 8.09356i | −0.461924 | − | 0.461924i | 0.437362 | − | 0.899286i | \(-0.355913\pi\) |
−0.899286 | + | 0.437362i | \(0.855913\pi\) | |||||||
\(308\) | 12.6280 | + | 17.6831i | 0.719546 | + | 1.00759i | ||||
\(309\) | −11.8516 | + | 7.98036i | −0.674216 | + | 0.453987i | ||||
\(310\) | 4.86722 | − | 0.291313i | 0.276440 | − | 0.0165455i | ||||
\(311\) | −7.30697 | + | 4.21868i | −0.414340 | + | 0.239219i | −0.692653 | − | 0.721271i | \(-0.743558\pi\) |
0.278313 | + | 0.960491i | \(0.410225\pi\) | |||||||
\(312\) | 32.2907 | + | 9.11902i | 1.82810 | + | 0.516263i | ||||
\(313\) | 5.95658 | − | 10.3171i | 0.336686 | − | 0.583157i | −0.647121 | − | 0.762387i | \(-0.724027\pi\) |
0.983807 | + | 0.179230i | \(0.0573607\pi\) | |||||||
\(314\) | −1.83299 | + | 1.20979i | −0.103441 | + | 0.0682723i | ||||
\(315\) | −6.30426 | + | 0.728359i | −0.355205 | + | 0.0410384i | ||||
\(316\) | 22.4357 | + | 9.59261i | 1.26211 | + | 0.539627i | ||||
\(317\) | 21.2135 | − | 5.68415i | 1.19147 | − | 0.319253i | 0.392003 | − | 0.919964i | \(-0.371782\pi\) |
0.799467 | + | 0.600710i | \(0.205116\pi\) | |||||||
\(318\) | −2.02568 | − | 15.6401i | −0.113594 | − | 0.877056i | ||||
\(319\) | −11.0746 | − | 19.1818i | −0.620059 | − | 1.07397i | ||||
\(320\) | 3.71903 | + | 5.20406i | 0.207900 | + | 0.290916i | ||||
\(321\) | 4.55838 | − | 23.3519i | 0.254424 | − | 1.30338i | ||||
\(322\) | −6.54834 | + | 12.3711i | −0.364925 | + | 0.689412i | ||||
\(323\) | 4.99047 | + | 4.99047i | 0.277677 | + | 0.277677i | ||||
\(324\) | −17.8528 | − | 2.29696i | −0.991825 | − | 0.127609i | ||||
\(325\) | 28.8494 | + | 7.73016i | 1.60027 | + | 0.428792i | ||||
\(326\) | 13.6841 | − | 27.3565i | 0.757890 | − | 1.51513i | ||||
\(327\) | −0.639141 | − | 0.556487i | −0.0353446 | − | 0.0307738i | ||||
\(328\) | −13.4245 | − | 9.30406i | −0.741245 | − | 0.513731i | ||||
\(329\) | 2.11550 | + | 8.69046i | 0.116631 | + | 0.479120i | ||||
\(330\) | −3.06207 | − | 7.43662i | −0.168562 | − | 0.409372i | ||||
\(331\) | −13.2817 | + | 3.55882i | −0.730028 | + | 0.195610i | −0.604642 | − | 0.796497i | \(-0.706684\pi\) |
−0.125386 | + | 0.992108i | \(0.540017\pi\) | |||||||
\(332\) | 5.96499 | + | 4.68550i | 0.327371 | + | 0.257150i | ||||
\(333\) | 0.772055 | + | 0.583708i | 0.0423083 | + | 0.0319870i | ||||
\(334\) | −7.13845 | + | 8.04735i | −0.390598 | + | 0.440331i | ||||
\(335\) | 0.469627 | 0.0256585 | ||||||||
\(336\) | 15.6564 | − | 9.53294i | 0.854127 | − | 0.520065i | ||||
\(337\) | 10.3141 | 0.561845 | 0.280923 | − | 0.959730i | \(-0.409360\pi\) | ||||
0.280923 | + | 0.959730i | \(0.409360\pi\) | |||||||
\(338\) | 31.8236 | − | 35.8755i | 1.73098 | − | 1.95137i | ||||
\(339\) | −5.95446 | + | 12.1839i | −0.323402 | + | 0.661739i | ||||
\(340\) | −2.53162 | + | 3.22294i | −0.137296 | + | 0.174789i | ||||
\(341\) | 17.1044 | − | 4.58311i | 0.926255 | − | 0.248189i | ||||
\(342\) | 2.29611 | + | 11.4552i | 0.124159 | + | 0.619428i | ||||
\(343\) | −12.1611 | − | 13.9681i | −0.656638 | − | 0.754206i | ||||
\(344\) | −22.2336 | + | 4.03073i | −1.19876 | + | 0.217323i | ||||
\(345\) | 3.40190 | − | 3.90718i | 0.183152 | − | 0.210356i | ||||
\(346\) | −1.66701 | + | 3.33260i | −0.0896190 | + | 0.179162i | ||||
\(347\) | 33.8322 | + | 9.06531i | 1.81621 | + | 0.486652i | 0.996308 | − | 0.0858542i | \(-0.0273619\pi\) |
0.819901 | + | 0.572506i | \(0.194029\pi\) | |||||||
\(348\) | −16.8214 | + | 8.13357i | −0.901722 | + | 0.436005i | ||||
\(349\) | −0.391705 | − | 0.391705i | −0.0209675 | − | 0.0209675i | 0.696545 | − | 0.717513i | \(-0.254720\pi\) |
−0.717513 | + | 0.696545i | \(0.754720\pi\) | |||||||
\(350\) | 13.8210 | − | 8.67205i | 0.738761 | − | 0.463541i | ||||
\(351\) | −19.4541 | + | 29.8012i | −1.03838 | + | 1.59067i | ||||
\(352\) | 17.0237 | + | 15.8051i | 0.907369 | + | 0.842415i | ||||
\(353\) | 3.10916 | + | 5.38523i | 0.165484 | + | 0.286627i | 0.936827 | − | 0.349793i | \(-0.113748\pi\) |
−0.771343 | + | 0.636420i | \(0.780415\pi\) | |||||||
\(354\) | 0.281321 | − | 0.0364361i | 0.0149521 | − | 0.00193656i | ||||
\(355\) | −7.70940 | + | 2.06573i | −0.409172 | + | 0.109637i | ||||
\(356\) | 10.2585 | − | 23.9931i | 0.543699 | − | 1.27163i | ||||
\(357\) | 8.67796 | + | 7.91411i | 0.459286 | + | 0.418859i | ||||
\(358\) | −9.95113 | + | 6.56784i | −0.525933 | + | 0.347121i | ||||
\(359\) | 9.73161 | − | 16.8556i | 0.513615 | − | 0.889607i | −0.486261 | − | 0.873814i | \(-0.661639\pi\) |
0.999875 | − | 0.0157929i | \(-0.00502725\pi\) | |||||||
\(360\) | −6.44553 | + | 2.11727i | −0.339709 | + | 0.111590i | ||||
\(361\) | −9.88739 | + | 5.70849i | −0.520389 | + | 0.300447i | ||||
\(362\) | 15.2993 | − | 0.915695i | 0.804114 | − | 0.0481279i | ||||
\(363\) | −5.67173 | − | 8.42309i | −0.297689 | − | 0.442098i | ||||
\(364\) | −3.49359 | − | 36.0732i | −0.183114 | − | 1.89075i | ||||
\(365\) | −5.23498 | − | 5.23498i | −0.274011 | − | 0.274011i | ||||
\(366\) | 17.6118 | + | 23.0521i | 0.920581 | + | 1.20495i | ||||
\(367\) | 5.88381 | − | 3.39702i | 0.307133 | − | 0.177323i | −0.338510 | − | 0.940963i | \(-0.609923\pi\) |
0.645643 | + | 0.763640i | \(0.276590\pi\) | |||||||
\(368\) | −4.19964 | + | 14.3623i | −0.218921 | + | 0.748687i | ||||
\(369\) | 13.6686 | − | 10.6442i | 0.711561 | − | 0.554117i | ||||
\(370\) | 0.357383 | + | 0.0731964i | 0.0185794 | + | 0.00380530i | ||||
\(371\) | −14.9443 | + | 8.17544i | −0.775870 | + | 0.424448i | ||||
\(372\) | −2.80034 | − | 14.6731i | −0.145191 | − | 0.760764i | ||||
\(373\) | 11.7034 | − | 3.13591i | 0.605978 | − | 0.162371i | 0.0572328 | − | 0.998361i | \(-0.481772\pi\) |
0.548745 | + | 0.835989i | \(0.315106\pi\) | |||||||
\(374\) | −6.65853 | + | 13.3114i | −0.344304 | + | 0.688316i | ||||
\(375\) | −12.2603 | + | 4.21069i | −0.633120 | + | 0.217439i | ||||
\(376\) | 4.08262 | + | 8.64639i | 0.210545 | + | 0.445904i | ||||
\(377\) | 36.9426i | 1.90264i | ||||||||
\(378\) | 4.69367 | + | 18.8672i | 0.241416 | + | 0.970422i | ||||
\(379\) | 24.4697 | + | 24.4697i | 1.25693 | + | 1.25693i | 0.952553 | + | 0.304372i | \(0.0984465\pi\) |
0.304372 | + | 0.952553i | \(0.401553\pi\) | |||||||
\(380\) | 2.64088 | + | 3.52367i | 0.135474 | + | 0.180760i | ||||
\(381\) | 3.52381 | + | 1.72214i | 0.180530 | + | 0.0882279i | ||||
\(382\) | −7.75881 | − | 23.2897i | −0.396975 | − | 1.19160i | ||||
\(383\) | −14.6633 | + | 25.3976i | −0.749260 | + | 1.29776i | 0.198919 | + | 0.980016i | \(0.436257\pi\) |
−0.948178 | + | 0.317740i | \(0.897076\pi\) | |||||||
\(384\) | 14.3477 | − | 13.3471i | 0.732177 | − | 0.681115i | ||||
\(385\) | −6.28219 | + | 5.99947i | −0.320170 | + | 0.305761i | ||||
\(386\) | −1.76586 | + | 8.62182i | −0.0898798 | + | 0.438839i | ||||
\(387\) | 2.95854 | − | 23.7834i | 0.150391 | − | 1.20898i | ||||
\(388\) | −30.2713 | + | 3.63662i | −1.53679 | + | 0.184621i | ||||
\(389\) | −25.3345 | − | 6.78837i | −1.28451 | − | 0.344184i | −0.448939 | − | 0.893562i | \(-0.648198\pi\) |
−0.835574 | + | 0.549378i | \(0.814865\pi\) | |||||||
\(390\) | −1.77876 | + | 13.2953i | −0.0900713 | + | 0.673236i | ||||
\(391\) | −9.58772 | −0.484872 | ||||||||
\(392\) | −15.7366 | − | 12.0149i | −0.794819 | − | 0.606847i | ||||
\(393\) | −0.227312 | + | 1.16448i | −0.0114664 | + | 0.0587405i | ||||
\(394\) | −36.8335 | + | 2.20456i | −1.85564 | + | 0.111064i | ||||
\(395\) | −2.52468 | + | 9.42222i | −0.127030 | + | 0.474083i | ||||
\(396\) | −21.3892 | + | 12.2296i | −1.07485 | + | 0.614561i | ||||
\(397\) | −6.00652 | + | 1.60944i | −0.301459 | + | 0.0807756i | −0.406378 | − | 0.913705i | \(-0.633208\pi\) |
0.104919 | + | 0.994481i | \(0.466542\pi\) | |||||||
\(398\) | 0.334731 | − | 1.63433i | 0.0167786 | − | 0.0819216i | ||||
\(399\) | 10.6268 | − | 6.80549i | 0.532005 | − | 0.340701i | ||||
\(400\) | 12.6105 | − | 12.0512i | 0.630525 | − | 0.602558i | ||||
\(401\) | −27.5972 | − | 15.9333i | −1.37814 | − | 0.795670i | −0.386205 | − | 0.922413i | \(-0.626214\pi\) |
−0.991936 | + | 0.126743i | \(0.959548\pi\) | |||||||
\(402\) | −0.184800 | − | 1.42683i | −0.00921699 | − | 0.0711640i | ||||
\(403\) | −28.5283 | − | 7.64415i | −1.42110 | − | 0.380782i | ||||
\(404\) | −34.6273 | − | 4.95880i | −1.72277 | − | 0.246710i | ||||
\(405\) | −0.102758 | − | 7.19517i | −0.00510607 | − | 0.357531i | ||||
\(406\) | 14.7855 | + | 13.7364i | 0.733793 | + | 0.681727i | ||||
\(407\) | 1.32484 | 0.0656698 | ||||||||
\(408\) | 10.7882 | + | 6.42340i | 0.534097 | + | 0.318006i | ||||
\(409\) | −11.4370 | − | 19.8094i | −0.565522 | − | 0.979512i | −0.997001 | − | 0.0773894i | \(-0.975342\pi\) |
0.431479 | − | 0.902123i | \(-0.357992\pi\) | |||||||
\(410\) | 2.92116 | − | 5.83983i | 0.144266 | − | 0.288409i | ||||
\(411\) | −1.16824 | − | 16.8993i | −0.0576251 | − | 0.833579i | ||||
\(412\) | 15.1700 | + | 6.48607i | 0.747370 | + | 0.319546i | ||||
\(413\) | −0.147053 | − | 0.268805i | −0.00723599 | − | 0.0132271i | ||||
\(414\) | −13.2096 | − | 8.79827i | −0.649215 | − | 0.432411i | ||||
\(415\) | −1.51617 | + | 2.62609i | −0.0744261 | + | 0.128910i | ||||
\(416\) | −11.4091 | − | 37.0264i | −0.559379 | − | 1.81537i | ||||
\(417\) | −11.0895 | + | 3.80859i | −0.543056 | + | 0.186507i | ||||
\(418\) | 11.9634 | + | 10.6122i | 0.585149 | + | 0.519060i | ||||
\(419\) | −3.03969 | + | 3.03969i | −0.148498 | + | 0.148498i | −0.777447 | − | 0.628949i | \(-0.783486\pi\) |
0.628949 | + | 0.777447i | \(0.283486\pi\) | |||||||
\(420\) | 4.65979 | + | 5.65555i | 0.227375 | + | 0.275963i | ||||
\(421\) | −8.07074 | − | 8.07074i | −0.393344 | − | 0.393344i | 0.482534 | − | 0.875877i | \(-0.339717\pi\) |
−0.875877 | + | 0.482534i | \(0.839717\pi\) | |||||||
\(422\) | −14.3998 | + | 0.861856i | −0.700971 | + | 0.0419545i | ||||
\(423\) | −10.0453 | + | 1.39553i | −0.488421 | + | 0.0678531i | ||||
\(424\) | −13.8936 | + | 11.7725i | −0.674734 | + | 0.571721i | ||||
\(425\) | 9.67888 | + | 5.58811i | 0.469495 | + | 0.271063i | ||||
\(426\) | 9.30982 | + | 22.6100i | 0.451062 | + | 1.09546i | ||||
\(427\) | 16.2875 | − | 26.7685i | 0.788207 | − | 1.29542i | ||||
\(428\) | −25.4997 | + | 10.2252i | −1.23257 | + | 0.494252i | ||||
\(429\) | 3.35961 | + | 48.5986i | 0.162203 | + | 2.34636i | ||||
\(430\) | −2.85511 | − | 8.57021i | −0.137686 | − | 0.413292i | ||||
\(431\) | −0.978915 | + | 0.565177i | −0.0471527 | + | 0.0272236i | −0.523391 | − | 0.852093i | \(-0.675333\pi\) |
0.476238 | + | 0.879316i | \(0.342000\pi\) | |||||||
\(432\) | 8.96908 | + | 18.7498i | 0.431525 | + | 0.902101i | ||||
\(433\) | 5.35407i | 0.257300i | 0.991690 | + | 0.128650i | \(0.0410644\pi\) | ||||
−0.991690 | + | 0.128650i | \(0.958936\pi\) | |||||||
\(434\) | −13.6672 | + | 8.57555i | −0.656045 | + | 0.411640i | ||||
\(435\) | −4.17203 | − | 6.19589i | −0.200034 | − | 0.297070i | ||||
\(436\) | −0.138719 | + | 0.968674i | −0.00664344 | + | 0.0463911i | ||||
\(437\) | −2.66623 | + | 9.95049i | −0.127543 | + | 0.475996i | ||||
\(438\) | −13.8451 | + | 17.9650i | −0.661543 | + | 0.858403i | ||||
\(439\) | 1.00125 | − | 1.73421i | 0.0477869 | − | 0.0827693i | −0.841143 | − | 0.540813i | \(-0.818117\pi\) |
0.888929 | + | 0.458044i | \(0.151450\pi\) | |||||||
\(440\) | −5.28988 | + | 7.63260i | −0.252185 | + | 0.363870i | ||||
\(441\) | 17.1449 | − | 12.1266i | 0.816423 | − | 0.577455i | ||||
\(442\) | 20.7188 | − | 13.6746i | 0.985495 | − | 0.650436i | ||||
\(443\) | −0.415854 | − | 1.55199i | −0.0197578 | − | 0.0737372i | 0.955343 | − | 0.295499i | \(-0.0954859\pi\) |
−0.975101 | + | 0.221762i | \(0.928819\pi\) | |||||||
\(444\) | 0.0817559 | − | 1.11461i | 0.00387996 | − | 0.0528972i | ||||
\(445\) | 10.0763 | + | 2.69993i | 0.477661 | + | 0.127989i | ||||
\(446\) | 5.64954 | − | 6.36886i | 0.267513 | − | 0.301574i | ||||
\(447\) | −2.87838 | + | 14.7455i | −0.136143 | + | 0.697439i | ||||
\(448\) | −19.0614 | − | 9.20133i | −0.900565 | − | 0.434722i | ||||
\(449\) | − | 33.4703i | − | 1.57956i | −0.613388 | − | 0.789782i | \(-0.710194\pi\) | ||
0.613388 | − | 0.789782i | \(-0.289806\pi\) | |||||||
\(450\) | 8.20718 | + | 16.5810i | 0.386890 | + | 0.781635i | ||||
\(451\) | 6.13755 | − | 22.9057i | 0.289006 | − | 1.07859i | ||||
\(452\) | 15.5472 | − | 1.86775i | 0.731279 | − | 0.0878517i | ||||
\(453\) | 10.0646 | − | 0.695763i | 0.472876 | − | 0.0326898i | ||||
\(454\) | −9.11399 | − | 13.8089i | −0.427741 | − | 0.648083i | ||||
\(455\) | 14.0775 | − | 3.42685i | 0.659962 | − | 0.160653i | ||||
\(456\) | 9.66651 | − | 9.41016i | 0.452676 | − | 0.440671i | ||||
\(457\) | −15.6355 | − | 9.02716i | −0.731398 | − | 0.422273i | 0.0875356 | − | 0.996161i | \(-0.472101\pi\) |
−0.818933 | + | 0.573889i | \(0.805434\pi\) | |||||||
\(458\) | −4.77148 | + | 9.53889i | −0.222956 | + | 0.445723i | ||||
\(459\) | −9.91789 | + | 8.88747i | −0.462928 | + | 0.414831i | ||||
\(460\) | −5.92167 | − | 0.848014i | −0.276099 | − | 0.0395388i | ||||
\(461\) | −10.0127 | + | 10.0127i | −0.466340 | + | 0.466340i | −0.900727 | − | 0.434387i | \(-0.856965\pi\) |
0.434387 | + | 0.900727i | \(0.356965\pi\) | |||||||
\(462\) | 20.6998 | + | 16.7259i | 0.963042 | + | 0.778159i | ||||
\(463\) | −35.1541 | −1.63375 | −0.816874 | − | 0.576816i | \(-0.804295\pi\) | ||||
−0.816874 | + | 0.576816i | \(0.804295\pi\) | |||||||
\(464\) | 18.4352 | + | 11.2085i | 0.855833 | + | 0.520340i | ||||
\(465\) | 5.64796 | − | 1.93974i | 0.261918 | − | 0.0899532i | ||||
\(466\) | 22.7676 | − | 7.58487i | 1.05469 | − | 0.351362i | ||||
\(467\) | −6.23032 | − | 23.2519i | −0.288305 | − | 1.07597i | −0.946390 | − | 0.323025i | \(-0.895300\pi\) |
0.658086 | − | 0.752943i | \(-0.271366\pi\) | |||||||
\(468\) | 41.0942 | + | 0.172518i | 1.89958 | + | 0.00797464i | ||||
\(469\) | −1.36335 | + | 0.745836i | −0.0629538 | + | 0.0344395i | ||||
\(470\) | −3.19032 | + | 2.10564i | −0.147158 | + | 0.0971259i | ||||
\(471\) | −1.76629 | + | 2.02863i | −0.0813864 | + | 0.0934745i | ||||
\(472\) | −0.211753 | − | 0.249906i | −0.00974671 | − | 0.0115029i | ||||
\(473\) | −16.4030 | − | 28.4108i | −0.754209 | − | 1.30633i | ||||
\(474\) | 29.6203 | + | 3.96286i | 1.36051 | + | 0.182020i | ||||
\(475\) | 8.49112 | − | 8.49112i | 0.389599 | − | 0.389599i | ||||
\(476\) | 2.23093 | − | 13.3770i | 0.102255 | − | 0.613132i | ||||
\(477\) | −7.51883 | − | 17.7917i | −0.344264 | − | 0.814625i | ||||
\(478\) | −1.04815 | + | 1.18160i | −0.0479412 | + | 0.0540453i | ||||
\(479\) | −3.73185 | − | 6.46375i | −0.170513 | − | 0.295336i | 0.768087 | − | 0.640346i | \(-0.221209\pi\) |
−0.938599 | + | 0.345010i | \(0.887876\pi\) | |||||||
\(480\) | 6.09501 | + | 4.92149i | 0.278198 | + | 0.224634i | ||||
\(481\) | −1.91365 | − | 1.10485i | −0.0872549 | − | 0.0503766i | ||||
\(482\) | −7.87589 | − | 1.61308i | −0.358737 | − | 0.0734738i | ||||
\(483\) | −3.67075 | + | 16.7455i | −0.167025 | + | 0.761946i | ||||
\(484\) | −4.60972 | + | 10.7815i | −0.209533 | + | 0.490066i | ||||
\(485\) | −3.15465 | − | 11.7733i | −0.143245 | − | 0.534599i | ||||
\(486\) | −21.8201 | + | 3.14353i | −0.989781 | + | 0.142593i | ||||
\(487\) | 16.6305 | − | 9.60162i | 0.753599 | − | 0.435091i | −0.0733936 | − | 0.997303i | \(-0.523383\pi\) |
0.826993 | + | 0.562212i | \(0.190050\pi\) | |||||||
\(488\) | 11.3054 | − | 31.5323i | 0.511771 | − | 1.42740i | ||||
\(489\) | 7.17737 | − | 36.7686i | 0.324572 | − | 1.66273i | ||||
\(490\) | 3.86293 | − | 6.90844i | 0.174509 | − | 0.312091i | ||||
\(491\) | −12.3610 | + | 12.3610i | −0.557845 | + | 0.557845i | −0.928694 | − | 0.370848i | \(-0.879067\pi\) |
0.370848 | + | 0.928694i | \(0.379067\pi\) | |||||||
\(492\) | −18.8922 | − | 6.57715i | −0.851727 | − | 0.296521i | ||||
\(493\) | −3.57788 | + | 13.3528i | −0.161139 | + | 0.601381i | ||||
\(494\) | −8.43038 | − | 25.3055i | −0.379301 | − | 1.13855i | ||||
\(495\) | −6.05185 | − | 7.77139i | −0.272010 | − | 0.349298i | ||||
\(496\) | −12.4702 | + | 11.9171i | −0.559928 | + | 0.535092i | ||||
\(497\) | 19.1001 | − | 18.2406i | 0.856758 | − | 0.818201i | ||||
\(498\) | 8.57528 | + | 3.57310i | 0.384267 | + | 0.160115i | ||||
\(499\) | 4.68841 | + | 17.4974i | 0.209882 | + | 0.783290i | 0.987906 | + | 0.155055i | \(0.0495556\pi\) |
−0.778024 | + | 0.628235i | \(0.783778\pi\) | |||||||
\(500\) | 11.7714 | + | 9.24640i | 0.526431 | + | 0.413511i | ||||
\(501\) | −5.78485 | + | 11.8369i | −0.258448 | + | 0.528832i | ||||
\(502\) | −0.456479 | − | 7.62680i | −0.0203737 | − | 0.340401i | ||||
\(503\) | 27.5591i | 1.22880i | 0.788995 | + | 0.614400i | \(0.210602\pi\) | ||||
−0.788995 | + | 0.614400i | \(0.789398\pi\) | |||||||
\(504\) | 15.3492 | − | 16.3830i | 0.683707 | − | 0.729756i | ||||
\(505\) | − | 13.9843i | − | 0.622291i | ||||||
\(506\) | −21.6862 | + | 1.29796i | −0.964068 | + | 0.0577014i | ||||
\(507\) | 25.7892 | − | 52.7694i | 1.14534 | − | 2.34357i | ||||
\(508\) | −0.540189 | − | 4.49654i | −0.0239670 | − | 0.199502i | ||||
\(509\) | 0.931585 | + | 3.47672i | 0.0412918 | + | 0.154103i | 0.983494 | − | 0.180943i | \(-0.0579149\pi\) |
−0.942202 | + | 0.335046i | \(0.891248\pi\) | |||||||
\(510\) | −1.93058 | + | 4.63331i | −0.0854876 | + | 0.205166i | ||||
\(511\) | 23.5114 | + | 6.88353i | 1.04008 | + | 0.304509i | ||||
\(512\) | −21.9386 | − | 5.54048i | −0.969559 | − | 0.244857i | ||||
\(513\) | 6.46570 | + | 12.7646i | 0.285468 | + | 0.563573i | ||||
\(514\) | 29.4484 | − | 9.81056i | 1.29891 | − | 0.432725i | ||||
\(515\) | −1.70707 | + | 6.37086i | −0.0752224 | + | 0.280734i | ||||
\(516\) | −24.9147 | + | 12.0469i | −1.09681 | + | 0.530335i | ||||
\(517\) | −9.81621 | + | 9.81621i | −0.431717 | + | 0.431717i | ||||
\(518\) | −1.15375 | + | 0.355082i | −0.0506928 | + | 0.0156014i | ||||
\(519\) | −0.874356 | + | 4.47920i | −0.0383800 | + | 0.196615i | ||||
\(520\) | 14.0061 | − | 6.61334i | 0.614208 | − | 0.290014i | ||||
\(521\) | 14.5793 | − | 8.41736i | 0.638731 | − | 0.368771i | −0.145395 | − | 0.989374i | \(-0.546445\pi\) |
0.784125 | + | 0.620602i | \(0.213112\pi\) | |||||||
\(522\) | −17.1828 | + | 15.1137i | −0.752071 | + | 0.661508i | ||||
\(523\) | 9.64668 | + | 36.0019i | 0.421820 | + | 1.57425i | 0.770771 | + | 0.637112i | \(0.219871\pi\) |
−0.348951 | + | 0.937141i | \(0.613462\pi\) | |||||||
\(524\) | 1.27159 | − | 0.509896i | 0.0555495 | − | 0.0222749i | ||||
\(525\) | 13.4656 | − | 14.7653i | 0.587687 | − | 0.644408i | ||||
\(526\) | −5.64777 | + | 27.5753i | −0.246254 | + | 1.20234i | ||||
\(527\) | −9.57118 | − | 5.52593i | −0.416927 | − | 0.240713i | ||||
\(528\) | 25.2711 | + | 13.0684i | 1.09979 | + | 0.568729i | ||||
\(529\) | 4.50272 | + | 7.79894i | 0.195771 | + | 0.339085i | ||||
\(530\) | −5.44615 | − | 4.83104i | −0.236566 | − | 0.209847i | ||||
\(531\) | 0.320021 | − | 0.135242i | 0.0138877 | − | 0.00586901i | ||||
\(532\) | −13.2627 | − | 6.03531i | −0.575012 | − | 0.261664i | ||||
\(533\) | −27.9674 | + | 27.9674i | −1.21140 | + | 1.21140i | ||||
\(534\) | 4.23794 | − | 31.6764i | 0.183394 | − | 1.37077i | ||||
\(535\) | −5.49156 | − | 9.51166i | −0.237421 | − | 0.411225i | ||||
\(536\) | −1.26750 | + | 1.07399i | −0.0547476 | + | 0.0463892i | ||||
\(537\) | −9.58904 | + | 11.0133i | −0.413798 | + | 0.475258i | ||||
\(538\) | −20.6104 | − | 31.2274i | −0.888576 | − | 1.34631i | ||||
\(539\) | 8.70950 | − | 27.3938i | 0.375145 | − | 1.17994i | ||||
\(540\) | −6.91168 | + | 4.61196i | −0.297431 | + | 0.198467i | ||||
\(541\) | 1.83812 | + | 6.85996i | 0.0790270 | + | 0.294933i | 0.994116 | − | 0.108319i | \(-0.0345467\pi\) |
−0.915089 | + | 0.403251i | \(0.867880\pi\) | |||||||
\(542\) | 0.131027 | + | 0.393306i | 0.00562811 | + | 0.0168939i | ||||
\(543\) | 17.7534 | − | 6.09726i | 0.761873 | − | 0.261658i | ||||
\(544\) | −0.537814 | − | 14.4881i | −0.0230586 | − | 0.621173i | ||||
\(545\) | −0.391200 | −0.0167572 | ||||||||
\(546\) | −15.9511 | − | 41.4221i | −0.682644 | − | 1.77270i | ||||
\(547\) | 25.8698 | − | 25.8698i | 1.10611 | − | 1.10611i | 0.112457 | − | 0.993657i | \(-0.464128\pi\) |
0.993657 | − | 0.112457i | \(-0.0358719\pi\) | |||||||
\(548\) | −15.6521 | + | 11.7308i | −0.668626 | + | 0.501113i | ||||
\(549\) | 28.3413 | + | 21.4273i | 1.20958 | + | 0.914495i | ||||
\(550\) | 22.6489 | + | 11.3293i | 0.965751 | + | 0.483081i | ||||
\(551\) | 12.8631 | + | 7.42651i | 0.547986 | + | 0.316380i | ||||
\(552\) | −0.246256 | + | 18.3251i | −0.0104813 | + | 0.779967i | ||||
\(553\) | −7.63459 | − | 31.3628i | −0.324656 | − | 1.33368i | ||||
\(554\) | −4.49403 | + | 2.96610i | −0.190933 | + | 0.126018i | ||||
\(555\) | 0.445725 | − | 0.0308129i | 0.0189200 | − | 0.00130793i | ||||
\(556\) | 10.6472 | + | 8.36341i | 0.451543 | + | 0.354687i | ||||
\(557\) | −2.44214 | + | 9.11418i | −0.103477 | + | 0.386180i | −0.998168 | − | 0.0605049i | \(-0.980729\pi\) |
0.894691 | + | 0.446685i | \(0.147396\pi\) | |||||||
\(558\) | −8.11586 | − | 16.3965i | −0.343572 | − | 0.694119i | ||||
\(559\) | 54.7168i | 2.31427i | ||||||||
\(560\) | 2.56106 | − | 8.06471i | 0.108225 | − | 0.340796i | ||||
\(561\) | −3.49244 | + | 17.8912i | −0.147451 | + | 0.755369i | ||||
\(562\) | −17.9252 | − | 15.9006i | −0.756128 | − | 0.670728i | ||||
\(563\) | −30.9965 | − | 8.30549i | −1.30635 | − | 0.350035i | −0.462500 | − | 0.886619i | \(-0.653048\pi\) |
−0.843847 | + | 0.536585i | \(0.819714\pi\) | |||||||
\(564\) | 7.65281 | + | 8.86433i | 0.322241 | + | 0.373255i | ||||
\(565\) | 1.62022 | + | 6.04673i | 0.0681631 | + | 0.254388i | ||||
\(566\) | 5.21143 | + | 7.89600i | 0.219053 | + | 0.331894i | ||||
\(567\) | 11.7253 | + | 20.7248i | 0.492416 | + | 0.870360i | ||||
\(568\) | 16.0832 | − | 23.2059i | 0.674835 | − | 0.973697i | ||||
\(569\) | −8.58044 | + | 14.8618i | −0.359711 | + | 0.623037i | −0.987912 | − | 0.155013i | \(-0.950458\pi\) |
0.628202 | + | 0.778051i | \(0.283791\pi\) | |||||||
\(570\) | 4.27175 | + | 3.29210i | 0.178924 | + | 0.137891i | ||||
\(571\) | −1.07584 | + | 4.01510i | −0.0450226 | + | 0.168027i | −0.984777 | − | 0.173825i | \(-0.944387\pi\) |
0.939754 | + | 0.341852i | \(0.111054\pi\) | |||||||
\(572\) | 45.0121 | − | 33.7351i | 1.88205 | − | 1.41053i | ||||
\(573\) | −16.7924 | − | 24.9384i | −0.701514 | − | 1.04182i | ||||
\(574\) | 0.794214 | + | 21.5926i | 0.0331499 | + | 0.901258i | ||||
\(575\) | 16.3132i | 0.680306i | ||||||||
\(576\) | 12.5542 | − | 20.4546i | 0.523091 | − | 0.852277i | ||||
\(577\) | −9.69166 | + | 5.59548i | −0.403469 | + | 0.232943i | −0.687980 | − | 0.725730i | \(-0.741502\pi\) |
0.284511 | + | 0.958673i | \(0.408169\pi\) | |||||||
\(578\) | −13.9960 | + | 4.66269i | −0.582158 | + | 0.193942i | ||||
\(579\) | 0.743357 | + | 10.7531i | 0.0308929 | + | 0.446882i | ||||
\(580\) | −3.39084 | + | 7.93066i | −0.140797 | + | 0.329303i | ||||
\(581\) | 0.230923 | − | 10.0316i | 0.00958028 | − | 0.416181i | ||||
\(582\) | −34.5287 | + | 14.2174i | −1.43126 | + | 0.589330i | ||||
\(583\) | −22.8967 | − | 13.2194i | −0.948285 | − | 0.547492i | ||||
\(584\) | 26.1008 | + | 2.15709i | 1.08006 | + | 0.0892612i | ||||
\(585\) | 2.26059 | + | 16.2722i | 0.0934640 | + | 0.672774i | ||||
\(586\) | −2.20101 | − | 36.7743i | −0.0909231 | − | 1.51913i | ||||
\(587\) | 30.0034 | + | 30.0034i | 1.23837 | + | 1.23837i | 0.960666 | + | 0.277707i | \(0.0895746\pi\) |
0.277707 | + | 0.960666i | \(0.410425\pi\) | |||||||
\(588\) | −22.5095 | − | 9.01795i | −0.928275 | − | 0.371894i | ||||
\(589\) | −8.39664 | + | 8.39664i | −0.345977 | + | 0.345977i | ||||
\(590\) | 0.0868965 | − | 0.0979606i | 0.00357747 | − | 0.00403297i | ||||
\(591\) | −42.7418 | + | 14.6793i | −1.75816 | + | 0.603825i | ||||
\(592\) | −1.13195 | + | 0.619743i | −0.0465229 | + | 0.0254713i | ||||
\(593\) | 4.85090 | − | 8.40201i | 0.199203 | − | 0.345029i | −0.749067 | − | 0.662494i | \(-0.769498\pi\) |
0.948270 | + | 0.317465i | \(0.102831\pi\) | |||||||
\(594\) | −21.2298 | + | 21.4449i | −0.871070 | + | 0.879897i | ||||
\(595\) | 5.42017 | + | 0.124770i | 0.222205 | + | 0.00511506i | ||||
\(596\) | 16.1017 | − | 6.45665i | 0.659552 | − | 0.264475i | ||||
\(597\) | −0.140909 | − | 2.03832i | −0.00576702 | − | 0.0834230i | ||||
\(598\) | 32.4068 | + | 16.2103i | 1.32521 | + | 0.662888i | ||||
\(599\) | 0.529267 | + | 0.916718i | 0.0216253 | + | 0.0374561i | 0.876636 | − | 0.481155i | \(-0.159783\pi\) |
−0.855010 | + | 0.518611i | \(0.826449\pi\) | |||||||
\(600\) | 10.9292 | − | 18.3558i | 0.446182 | − | 0.749372i | ||||
\(601\) | 33.7798 | 1.37791 | 0.688953 | − | 0.724806i | \(-0.258071\pi\) | ||||
0.688953 | + | 0.724806i | \(0.258071\pi\) | |||||||
\(602\) | 21.8993 | + | 20.3455i | 0.892549 | + | 0.829219i | ||||
\(603\) | −0.685934 | − | 1.62311i | −0.0279334 | − | 0.0660983i | ||||
\(604\) | −6.98642 | − | 9.32185i | −0.284273 | − | 0.379301i | ||||
\(605\) | −4.52784 | − | 1.21323i | −0.184083 | − | 0.0493249i | ||||
\(606\) | −42.4874 | + | 5.50286i | −1.72593 | + | 0.223539i | ||||
\(607\) | −25.8950 | − | 14.9505i | −1.05105 | − | 0.606822i | −0.128104 | − | 0.991761i | \(-0.540889\pi\) |
−0.922942 | + | 0.384939i | \(0.874223\pi\) | |||||||
\(608\) | −15.1859 | − | 3.47080i | −0.615868 | − | 0.140760i | ||||
\(609\) | 21.9516 | + | 11.3612i | 0.889525 | + | 0.460380i | ||||
\(610\) | 13.1191 | + | 2.68697i | 0.531179 | + | 0.108792i | ||||
\(611\) | 22.3651 | − | 5.99272i | 0.904796 | − | 0.242439i | ||||
\(612\) | 14.8367 | + | 4.04232i | 0.599739 | + | 0.163401i | ||||
\(613\) | −3.23477 | + | 12.0723i | −0.130651 | + | 0.487596i | −0.999978 | − | 0.00664139i | \(-0.997886\pi\) |
0.869327 | + | 0.494237i | \(0.164553\pi\) | |||||||
\(614\) | 0.967101 | + | 16.1582i | 0.0390290 | + | 0.652092i | ||||
\(615\) | 1.53216 | − | 7.84906i | 0.0617828 | − | 0.316505i | ||||
\(616\) | 3.23514 | − | 30.5590i | 0.130348 | − | 1.23126i | ||||
\(617\) | −33.1658 | −1.33521 | −0.667603 | − | 0.744517i | \(-0.732680\pi\) | ||||
−0.667603 | + | 0.744517i | \(0.732680\pi\) | |||||||
\(618\) | 20.0279 | + | 2.67950i | 0.805639 | + | 0.107785i | ||||
\(619\) | 17.6747 | + | 4.73593i | 0.710407 | + | 0.190353i | 0.595887 | − | 0.803068i | \(-0.296801\pi\) |
0.114519 | + | 0.993421i | \(0.463467\pi\) | |||||||
\(620\) | −5.42271 | − | 4.25954i | −0.217781 | − | 0.171067i | ||||
\(621\) | −18.4727 | − | 6.05078i | −0.741284 | − | 0.242810i | ||||
\(622\) | 11.6896 | + | 2.39417i | 0.468709 | + | 0.0959975i | ||||
\(623\) | −33.5399 | + | 8.16455i | −1.34375 | + | 0.327106i | ||||
\(624\) | −25.6043 | − | 39.9513i | −1.02499 | − | 1.59933i | ||||
\(625\) | 7.90979 | − | 13.7002i | 0.316392 | − | 0.548006i | ||||
\(626\) | −15.9841 | + | 5.32500i | −0.638853 | + | 0.212830i | ||||
\(627\) | 17.5970 | + | 8.59991i | 0.702756 | + | 0.343447i | ||||
\(628\) | 3.07457 | + | 0.440294i | 0.122689 | + | 0.0175697i | ||||
\(629\) | −0.584681 | − | 0.584681i | −0.0233128 | − | 0.0233128i | ||||
\(630\) | 7.35319 | + | 5.14578i | 0.292958 | + | 0.205013i | ||||
\(631\) | 12.6471i | 0.503472i | 0.967796 | + | 0.251736i | \(0.0810014\pi\) | ||||
−0.967796 | + | 0.251736i | \(0.918999\pi\) | |||||||
\(632\) | −14.7337 | − | 31.2038i | −0.586074 | − | 1.24122i | ||||
\(633\) | −16.7096 | + | 5.73877i | −0.664148 | + | 0.228095i | ||||
\(634\) | −27.7774 | − | 13.8946i | −1.10318 | − | 0.551826i | ||||
\(635\) | 1.74883 | − | 0.468597i | 0.0694001 | − | 0.0185957i | ||||
\(636\) | −12.5347 | + | 18.4477i | −0.497033 | + | 0.731497i | ||||
\(637\) | −35.4254 | + | 32.3054i | −1.40360 | + | 1.27999i | ||||
\(638\) | −6.28502 | + | 30.6867i | −0.248826 | + | 1.21490i | ||||
\(639\) | 18.3998 | + | 23.6279i | 0.727885 | + | 0.934704i | ||||
\(640\) | 0.949272 | − | 8.99588i | 0.0375233 | − | 0.355593i | ||||
\(641\) | −18.3872 | + | 10.6158i | −0.726250 | + | 0.419301i | −0.817049 | − | 0.576569i | \(-0.804391\pi\) |
0.0907987 | + | 0.995869i | \(0.471058\pi\) | |||||||
\(642\) | −26.7376 | + | 20.4275i | −1.05525 | + | 0.806208i | ||||
\(643\) | −11.2326 | − | 11.2326i | −0.442972 | − | 0.442972i | 0.450038 | − | 0.893010i | \(-0.351411\pi\) |
−0.893010 | + | 0.450038i | \(0.851411\pi\) | |||||||
\(644\) | 18.5377 | − | 6.94265i | 0.730489 | − | 0.273579i | ||||
\(645\) | −6.17933 | − | 9.17693i | −0.243311 | − | 0.361341i | ||||
\(646\) | −0.596313 | − | 9.96312i | −0.0234616 | − | 0.391994i | ||||
\(647\) | 36.4667 | − | 21.0540i | 1.43365 | − | 0.827720i | 0.436256 | − | 0.899823i | \(-0.356304\pi\) |
0.997397 | + | 0.0721029i | \(0.0229710\pi\) | |||||||
\(648\) | 16.7320 | + | 19.1844i | 0.657293 | + | 0.753635i | ||||
\(649\) | 0.237779 | − | 0.411846i | 0.00933366 | − | 0.0161664i | ||||
\(650\) | −23.2669 | − | 35.2524i | −0.912603 | − | 1.38271i | ||||
\(651\) | −13.3158 | + | 14.6010i | −0.521886 | + | 0.572257i | ||||
\(652\) | −40.1504 | + | 16.1000i | −1.57241 | + | 0.630523i | ||||
\(653\) | 6.37257 | − | 1.70752i | 0.249378 | − | 0.0668206i | −0.131965 | − | 0.991254i | \(-0.542129\pi\) |
0.381342 | + | 0.924434i | \(0.375462\pi\) | |||||||
\(654\) | 0.153939 | + | 1.18855i | 0.00601948 | + | 0.0464761i | ||||
\(655\) | 0.273846 | + | 0.474316i | 0.0107001 | + | 0.0185330i | ||||
\(656\) | 5.47102 | + | 22.4418i | 0.213608 | + | 0.876205i | ||||
\(657\) | −10.4468 | + | 25.7392i | −0.407570 | + | 1.00418i | ||||
\(658\) | 5.91761 | − | 11.1795i | 0.230692 | − | 0.435821i | ||||
\(659\) | 1.14982 | + | 1.14982i | 0.0447907 | + | 0.0447907i | 0.729147 | − | 0.684357i | \(-0.239917\pi\) |
−0.684357 | + | 0.729147i | \(0.739917\pi\) | |||||||
\(660\) | −3.73948 | + | 10.7413i | −0.145559 | + | 0.418104i | ||||
\(661\) | 14.9738 | + | 4.01223i | 0.582414 | + | 0.156057i | 0.537984 | − | 0.842955i | \(-0.319186\pi\) |
0.0444303 | + | 0.999012i | \(0.485853\pi\) | |||||||
\(662\) | 17.3913 | + | 8.69937i | 0.675933 | + | 0.338111i | ||||
\(663\) | 19.9650 | − | 22.9303i | 0.775375 | − | 0.890539i | ||||
\(664\) | −1.91352 | − | 10.5550i | −0.0742589 | − | 0.409614i | ||||
\(665\) | 1.63677 | − | 5.59056i | 0.0634713 | − | 0.216792i | ||||
\(666\) | −0.269011 | − | 1.34209i | −0.0104240 | − | 0.0520048i | ||||
\(667\) | −19.4902 | + | 5.22239i | −0.754664 | + | 0.202212i | ||||
\(668\) | 15.1044 | − | 1.81455i | 0.584405 | − | 0.0702072i | ||||
\(669\) | 4.57827 | − | 9.36797i | 0.177006 | − | 0.362187i | ||||
\(670\) | −0.496846 | − | 0.440730i | −0.0191948 | − | 0.0170269i | ||||
\(671\) | 48.6335 | 1.87747 | ||||||||
\(672\) | −25.5102 | − | 4.60758i | −0.984077 | − | 0.177741i | ||||
\(673\) | −32.7518 | −1.26249 | −0.631244 | − | 0.775584i | \(-0.717456\pi\) | ||||
−0.631244 | + | 0.775584i | \(0.717456\pi\) | |||||||
\(674\) | −10.9119 | − | 9.67947i | −0.420311 | − | 0.372839i | ||||
\(675\) | 15.1217 | + | 16.8750i | 0.582035 | + | 0.649517i | ||||
\(676\) | −67.3361 | + | 8.08938i | −2.58985 | + | 0.311130i | ||||
\(677\) | −18.6656 | + | 5.00142i | −0.717376 | + | 0.192220i | −0.599001 | − | 0.800749i | \(-0.704435\pi\) |
−0.118375 | + | 0.992969i | \(0.537769\pi\) | |||||||
\(678\) | 17.7338 | − | 7.30200i | 0.681062 | − | 0.280432i | ||||
\(679\) | 27.8559 | + | 29.1686i | 1.06901 | + | 1.11939i | ||||
\(680\) | 5.70298 | − | 1.03389i | 0.218699 | − | 0.0396480i | ||||
\(681\) | −15.2828 | − | 13.3064i | −0.585638 | − | 0.509903i | ||||
\(682\) | −22.3969 | − | 11.2032i | −0.857620 | − | 0.428993i | ||||
\(683\) | 8.09880 | + | 2.17007i | 0.309892 | + | 0.0830353i | 0.410413 | − | 0.911900i | \(-0.365384\pi\) |
−0.100521 | + | 0.994935i | \(0.532051\pi\) | |||||||
\(684\) | 8.32118 | − | 14.2740i | 0.318168 | − | 0.545779i | ||||
\(685\) | −5.52930 | − | 5.52930i | −0.211264 | − | 0.211264i | ||||
\(686\) | −0.242680 | + | 26.1905i | −0.00926558 | + | 0.999957i | ||||
\(687\) | −2.50266 | + | 12.8208i | −0.0954826 | + | 0.489144i | ||||
\(688\) | 27.3050 | + | 16.6012i | 1.04099 | + | 0.632915i | ||||
\(689\) | 22.0486 | + | 38.1893i | 0.839985 | + | 1.45490i | ||||
\(690\) | −7.26584 | + | 0.941055i | −0.276606 | + | 0.0358253i | ||||
\(691\) | 25.9533 | − | 6.95418i | 0.987312 | − | 0.264549i | 0.271191 | − | 0.962526i | \(-0.412583\pi\) |
0.716121 | + | 0.697976i | \(0.245916\pi\) | |||||||
\(692\) | 4.89117 | − | 1.96132i | 0.185934 | − | 0.0745581i | ||||
\(693\) | 29.9109 | + | 12.9496i | 1.13622 | + | 0.491913i | ||||
\(694\) | −27.2856 | − | 41.3412i | −1.03575 | − | 1.56929i | ||||
\(695\) | −2.70630 | + | 4.68745i | −0.102656 | + | 0.177805i | ||||
\(696\) | 25.4295 | + | 7.18139i | 0.963901 | + | 0.272210i | ||||
\(697\) | −12.8174 | + | 7.40014i | −0.485495 | + | 0.280300i | ||||
\(698\) | 0.0468049 | + | 0.782010i | 0.00177159 | + | 0.0295995i | ||||
\(699\) | 24.3794 | − | 16.4160i | 0.922112 | − | 0.620909i | ||||
\(700\) | −22.7604 | − | 3.79586i | −0.860264 | − | 0.143470i | ||||
\(701\) | −1.73634 | − | 1.73634i | −0.0655806 | − | 0.0655806i | 0.673556 | − | 0.739136i | \(-0.264766\pi\) |
−0.739136 | + | 0.673556i | \(0.764766\pi\) | |||||||
\(702\) | 48.5491 | − | 13.2714i | 1.83237 | − | 0.500896i | ||||
\(703\) | −0.769396 | + | 0.444211i | −0.0290183 | + | 0.0167537i | ||||
\(704\) | −3.17783 | − | 32.6974i | −0.119769 | − | 1.23233i | ||||
\(705\) | −3.07423 | + | 3.53084i | −0.115782 | + | 0.132979i | ||||
\(706\) | 1.76450 | − | 8.61520i | 0.0664079 | − | 0.324237i | ||||
\(707\) | 22.2091 | + | 40.5971i | 0.835257 | + | 1.52681i | ||||
\(708\) | −0.331821 | − | 0.225463i | −0.0124706 | − | 0.00847344i | ||||
\(709\) | −2.11854 | + | 0.567661i | −0.0795634 | + | 0.0213190i | −0.298381 | − | 0.954447i | \(-0.596447\pi\) |
0.218818 | + | 0.975766i | \(0.429780\pi\) | |||||||
\(710\) | 10.0948 | + | 5.04957i | 0.378853 | + | 0.189507i | ||||
\(711\) | 36.2524 | − | 5.03631i | 1.35957 | − | 0.188876i | ||||
\(712\) | −33.3698 | + | 15.7564i | −1.25059 | + | 0.590497i | ||||
\(713\) | − | 16.1317i | − | 0.604135i | ||||||
\(714\) | −1.75378 | − | 16.5168i | −0.0656335 | − | 0.618126i | ||||
\(715\) | 15.9011 | + | 15.9011i | 0.594666 | + | 0.594666i | ||||
\(716\) | 16.6916 | + | 2.39032i | 0.623794 | + | 0.0893305i | ||||
\(717\) | −0.849398 | + | 1.73802i | −0.0317213 | + | 0.0649077i | ||||
\(718\) | −26.1141 | + | 8.69976i | −0.974571 | + | 0.324672i | ||||
\(719\) | 4.98414 | − | 8.63278i | 0.185877 | − | 0.321948i | −0.757995 | − | 0.652261i | \(-0.773821\pi\) |
0.943872 | + | 0.330312i | \(0.107154\pi\) | |||||||
\(720\) | 8.80609 | + | 3.80894i | 0.328184 | + | 0.141951i | ||||
\(721\) | −5.16215 | − | 21.2060i | −0.192248 | − | 0.789754i | ||||
\(722\) | 15.8177 | + | 3.23966i | 0.588674 | + | 0.120568i | ||||
\(723\) | −9.82275 | + | 0.679045i | −0.365312 | + | 0.0252539i | ||||
\(724\) | −17.0454 | − | 13.3892i | −0.633487 | − | 0.497604i | ||||
\(725\) | 22.7194 | + | 6.08764i | 0.843776 | + | 0.226089i | ||||
\(726\) | −1.90435 | + | 14.2340i | −0.0706770 | + | 0.528274i | ||||
\(727\) | −29.3459 | −1.08838 | −0.544190 | − | 0.838962i | \(-0.683163\pi\) | ||||
−0.544190 | + | 0.838962i | \(0.683163\pi\) | |||||||
\(728\) | −30.1575 | + | 41.4426i | −1.11771 | + | 1.53597i | ||||
\(729\) | −24.7177 | + | 10.8644i | −0.915471 | + | 0.402384i | ||||
\(730\) | 0.625529 | + | 10.4513i | 0.0231519 | + | 0.386818i | ||||
\(731\) | −5.29931 | + | 19.7773i | −0.196002 | + | 0.731490i | ||||
\(732\) | 3.00117 | − | 40.9163i | 0.110927 | − | 1.51231i | ||||
\(733\) | 29.5310 | − | 7.91280i | 1.09075 | − | 0.292266i | 0.331758 | − | 0.943365i | \(-0.392358\pi\) |
0.758993 | + | 0.651099i | \(0.225692\pi\) | |||||||
\(734\) | −9.41283 | − | 1.92787i | −0.347434 | − | 0.0711588i | ||||
\(735\) | 2.29308 | − | 9.41886i | 0.0845815 | − | 0.347420i | ||||
\(736\) | 17.9216 | − | 11.2535i | 0.660600 | − | 0.414810i | ||||
\(737\) | −2.08884 | − | 1.20599i | −0.0769434 | − | 0.0444233i | ||||
\(738\) | −24.4501 | − | 1.56643i | −0.900022 | − | 0.0576610i | ||||
\(739\) | 35.8845 | + | 9.61523i | 1.32003 | + | 0.353702i | 0.848991 | − | 0.528408i | \(-0.177211\pi\) |
0.471043 | + | 0.882110i | \(0.343878\pi\) | |||||||
\(740\) | −0.309403 | − | 0.412831i | −0.0113739 | − | 0.0151760i | ||||
\(741\) | −18.2459 | − | 27.0970i | −0.670280 | − | 0.995434i | ||||
\(742\) | 23.4829 | + | 5.37549i | 0.862083 | + | 0.197341i | ||||
\(743\) | 16.7999 | 0.616330 | 0.308165 | − | 0.951333i | \(-0.400285\pi\) | ||||
0.308165 | + | 0.951333i | \(0.400285\pi\) | |||||||
\(744\) | −10.8076 | + | 18.1516i | −0.396225 | + | 0.665468i | ||||
\(745\) | 3.46763 | + | 6.00612i | 0.127044 | + | 0.220047i | ||||
\(746\) | −15.3247 | − | 7.66559i | −0.561075 | − | 0.280657i | ||||
\(747\) | 11.2907 | + | 1.40451i | 0.413107 | + | 0.0513885i | ||||
\(748\) | 19.5368 | − | 7.83408i | 0.714335 | − | 0.286442i | ||||
\(749\) | 31.0482 | + | 18.8915i | 1.13448 | + | 0.690280i | ||||
\(750\) | 16.9225 | + | 7.05119i | 0.617923 | + | 0.257473i | ||||
\(751\) | 0.792234 | − | 1.37219i | 0.0289090 | − | 0.0500719i | −0.851209 | − | 0.524827i | \(-0.824130\pi\) |
0.880118 | + | 0.474755i | \(0.157463\pi\) | |||||||
\(752\) | 3.79513 | − | 12.9789i | 0.138394 | − | 0.473293i | ||||
\(753\) | −3.03952 | − | 8.85019i | −0.110766 | − | 0.322519i | ||||
\(754\) | 34.6694 | − | 39.0837i | 1.26259 | − | 1.42334i | ||||
\(755\) | 3.29306 | − | 3.29306i | 0.119847 | − | 0.119847i | ||||
\(756\) | 12.7405 | − | 24.3655i | 0.463368 | − | 0.886166i | ||||
\(757\) | −26.3149 | − | 26.3149i | −0.956430 | − | 0.956430i | 0.0426596 | − | 0.999090i | \(-0.486417\pi\) |
−0.999090 | + | 0.0426596i | \(0.986417\pi\) | |||||||
\(758\) | −2.92389 | − | 48.8520i | −0.106201 | − | 1.77439i | ||||
\(759\) | −25.1648 | + | 8.64261i | −0.913424 | + | 0.313707i | ||||
\(760\) | 0.512916 | − | 6.20628i | 0.0186054 | − | 0.225125i | ||||
\(761\) | −24.1624 | − | 13.9502i | −0.875887 | − | 0.505694i | −0.00658710 | − | 0.999978i | \(-0.502097\pi\) |
−0.869300 | + | 0.494285i | \(0.835430\pi\) | |||||||
\(762\) | −2.11188 | − | 5.12894i | −0.0765052 | − | 0.185802i | ||||
\(763\) | 1.13568 | − | 0.621283i | 0.0411142 | − | 0.0224919i | ||||
\(764\) | −13.6481 | + | 31.9209i | −0.493772 | + | 1.15486i | ||||
\(765\) | −0.758873 | + | 6.10050i | −0.0274371 | + | 0.220564i | ||||
\(766\) | 39.3480 | − | 13.1085i | 1.42170 | − | 0.473631i | ||||
\(767\) | −0.686916 | + | 0.396591i | −0.0248031 | + | 0.0143201i | ||||
\(768\) | −27.7051 | + | 0.655809i | −0.999720 | + | 0.0236645i | ||||
\(769\) | − | 6.53834i | − | 0.235779i | −0.993027 | − | 0.117889i | \(-0.962387\pi\) | ||
0.993027 | − | 0.117889i | \(-0.0376128\pi\) | |||||||
\(770\) | 12.2766 | − | 0.451556i | 0.442418 | − | 0.0162729i | ||||
\(771\) | 31.5332 | − | 21.2330i | 1.13564 | − | 0.764689i | ||||
\(772\) | 9.95952 | − | 7.46433i | 0.358451 | − | 0.268647i | ||||
\(773\) | −0.725416 | + | 2.70729i | −0.0260914 | + | 0.0973744i | −0.977744 | − | 0.209803i | \(-0.932718\pi\) |
0.951652 | + | 0.307177i | \(0.0993845\pi\) | |||||||
\(774\) | −25.4500 | + | 22.3854i | −0.914781 | + | 0.804626i | ||||
\(775\) | −9.40217 | + | 16.2850i | −0.337736 | + | 0.584976i | ||||
\(776\) | 35.4386 | + | 24.5612i | 1.27217 | + | 0.881697i | ||||
\(777\) | −1.24503 | + | 0.797328i | −0.0446652 | + | 0.0286040i | ||||
\(778\) | 20.4322 | + | 30.9575i | 0.732531 | + | 1.10988i | ||||
\(779\) | 4.11578 | + | 15.3603i | 0.147463 | + | 0.550339i | ||||
\(780\) | 14.3591 | − | 12.3966i | 0.514139 | − | 0.443870i | ||||
\(781\) | 39.5952 | + | 10.6095i | 1.41683 | + | 0.379637i | ||||
\(782\) | 10.1434 | + | 8.99777i | 0.362728 | + | 0.321760i | ||||
\(783\) | −15.3204 | + | 23.4690i | −0.547508 | + | 0.838712i | ||||
\(784\) | 5.37304 | + | 27.4796i | 0.191894 | + | 0.981416i | ||||
\(785\) | 1.24167i | 0.0443171i | ||||||||
\(786\) | 1.33332 | − | 1.01865i | 0.0475579 | − | 0.0363341i | ||||
\(787\) | −7.34751 | + | 27.4213i | −0.261911 | + | 0.977464i | 0.702204 | + | 0.711976i | \(0.252200\pi\) |
−0.964114 | + | 0.265488i | \(0.914467\pi\) | |||||||
\(788\) | 41.0372 | + | 32.2347i | 1.46189 | + | 1.14831i | ||||
\(789\) | 2.37749 | + | 34.3917i | 0.0846409 | + | 1.22438i | ||||
\(790\) | 11.5135 | − | 7.59899i | 0.409631 | − | 0.270360i | ||||
\(791\) | −14.3067 | − | 14.9809i | −0.508687 | − | 0.532658i | ||||
\(792\) | 34.1060 | + | 7.13465i | 1.21190 | + | 0.253519i | ||||
\(793\) | −70.2481 | − | 40.5578i | −2.49458 | − | 1.44025i | ||||
\(794\) | 7.86506 | + | 3.93421i | 0.279121 | + | 0.139620i | ||||
\(795\) | −8.01075 | − | 3.91497i | −0.284112 | − | 0.138850i | ||||
\(796\) | −1.88790 | + | 1.41492i | −0.0669148 | + | 0.0501505i | ||||
\(797\) | 30.0823 | − | 30.0823i | 1.06557 | − | 1.06557i | 0.0678778 | − | 0.997694i | \(-0.478377\pi\) |
0.997694 | − | 0.0678778i | \(-0.0216228\pi\) | |||||||
\(798\) | −17.6294 | − | 2.77298i | −0.624076 | − | 0.0981624i | ||||
\(799\) | 8.66423 | 0.306518 | ||||||||
\(800\) | −24.6510 | + | 0.915072i | −0.871545 | + | 0.0323527i | ||||
\(801\) | −5.38591 | − | 38.7689i | −0.190302 | − | 1.36983i | ||||
\(802\) | 14.2439 | + | 42.7559i | 0.502968 | + | 1.50976i | ||||
\(803\) | 9.84120 | + | 36.7278i | 0.347288 | + | 1.29610i | ||||
\(804\) | −1.14353 | + | 1.68296i | −0.0403291 | + | 0.0593534i | ||||
\(805\) | 3.79801 | + | 6.94258i | 0.133862 | + | 0.244694i | ||||
\(806\) | 23.0080 | + | 34.8601i | 0.810423 | + | 1.22790i | ||||
\(807\) | −34.5605 | − | 30.0912i | −1.21659 | − | 1.05926i | ||||
\(808\) | 31.9805 | + | 37.7428i | 1.12507 | + | 1.32779i | ||||
\(809\) | 1.08417 | + | 1.87783i | 0.0381173 | + | 0.0660211i | 0.884455 | − | 0.466626i | \(-0.154531\pi\) |
−0.846337 | + | 0.532647i | \(0.821197\pi\) | |||||||
\(810\) | −6.64373 | + | 7.70863i | −0.233437 | + | 0.270854i | ||||
\(811\) | 24.6635 | − | 24.6635i | 0.866053 | − | 0.866053i | −0.125980 | − | 0.992033i | \(-0.540208\pi\) |
0.992033 | + | 0.125980i | \(0.0402075\pi\) | |||||||
\(812\) | −2.75126 | − | 28.4083i | −0.0965503 | − | 0.996936i | ||||
\(813\) | 0.283583 | + | 0.421149i | 0.00994569 | + | 0.0147704i | ||||
\(814\) | −1.40162 | − | 1.24332i | −0.0491269 | − | 0.0435783i | ||||
\(815\) | −8.64670 | − | 14.9765i | −0.302881 | − | 0.524605i | ||||
\(816\) | −5.38534 | − | 16.9201i | −0.188525 | − | 0.592322i | ||||
\(817\) | 19.0519 | + | 10.9996i | 0.666543 | + | 0.384829i | ||||
\(818\) | −6.49067 | + | 31.6908i | −0.226941 | + | 1.10804i | ||||
\(819\) | −32.4053 | − | 43.6490i | −1.13233 | − | 1.52522i | ||||
\(820\) | −8.57097 | + | 3.43689i | −0.299311 | + | 0.120021i | ||||
\(821\) | −5.27434 | − | 19.6841i | −0.184076 | − | 0.686980i | −0.994826 | − | 0.101589i | \(-0.967607\pi\) |
0.810751 | − | 0.585392i | \(-0.199059\pi\) | |||||||
\(822\) | −14.6235 | + | 18.9751i | −0.510052 | + | 0.661832i | ||||
\(823\) | −0.798483 | + | 0.461005i | −0.0278334 | + | 0.0160696i | −0.513852 | − | 0.857879i | \(-0.671782\pi\) |
0.486019 | + | 0.873948i | \(0.338449\pi\) | |||||||
\(824\) | −9.96221 | − | 21.0985i | −0.347050 | − | 0.735002i | ||||
\(825\) | 30.4413 | + | 5.94226i | 1.05983 | + | 0.206883i | ||||
\(826\) | −0.0966897 | + | 0.422390i | −0.00336427 | + | 0.0146968i | ||||
\(827\) | 33.1087 | − | 33.1087i | 1.15130 | − | 1.15130i | 0.165010 | − | 0.986292i | \(-0.447234\pi\) |
0.986292 | − | 0.165010i | \(-0.0527657\pi\) | |||||||
\(828\) | 5.71827 | + | 21.7050i | 0.198724 | + | 0.754300i | ||||
\(829\) | −10.6698 | + | 39.8202i | −0.370577 | + | 1.38301i | 0.489123 | + | 0.872215i | \(0.337317\pi\) |
−0.859701 | + | 0.510798i | \(0.829350\pi\) | |||||||
\(830\) | 4.06855 | − | 1.35541i | 0.141222 | − | 0.0470471i | ||||
\(831\) | −4.33051 | + | 4.97371i | −0.150224 | + | 0.172536i | ||||
\(832\) | −22.6777 | + | 49.8796i | −0.786209 | + | 1.72926i | ||||
\(833\) | −15.9332 | + | 8.24581i | −0.552053 | + | 0.285700i | ||||
\(834\) | 15.3065 | + | 6.37783i | 0.530020 | + | 0.220846i | ||||
\(835\) | 1.57407 | + | 5.87450i | 0.0544728 | + | 0.203295i | ||||
\(836\) | −2.69756 | − | 22.4545i | −0.0932972 | − | 0.776607i | ||||
\(837\) | −14.9535 | − | 16.6872i | −0.516867 | − | 0.576793i | ||||
\(838\) | 6.06851 | − | 0.363213i | 0.209633 | − | 0.0125470i | ||||
\(839\) | 17.9010i | 0.618011i | 0.951060 | + | 0.309006i | \(0.0999962\pi\) | ||||
−0.951060 | + | 0.309006i | \(0.900004\pi\) | |||||||
\(840\) | 0.377688 | − | 10.3564i | 0.0130315 | − | 0.357330i | ||||
\(841\) | 0.0929014i | 0.00320350i | ||||||||
\(842\) | 0.964374 | + | 16.1127i | 0.0332345 | + | 0.555279i | ||||
\(843\) | −26.3662 | − | 12.8855i | −0.908100 | − | 0.443802i | ||||
\(844\) | 16.0432 | + | 12.6019i | 0.552230 | + | 0.433777i | ||||
\(845\) | −7.01728 | − | 26.1889i | −0.241402 | − | 0.900924i | ||||
\(846\) | 11.9372 | + | 7.95082i | 0.410410 | + | 0.273355i | ||||
\(847\) | 15.0714 | − | 3.66880i | 0.517858 | − | 0.126061i | ||||
\(848\) | 25.7470 | + | 0.583955i | 0.884154 | + | 0.0200531i | ||||
\(849\) | 8.73880 | + | 7.60870i | 0.299915 | + | 0.261130i | ||||
\(850\) | −4.99560 | − | 14.9953i | −0.171348 | − | 0.514335i | ||||
\(851\) | 0.312373 | − | 1.16579i | 0.0107080 | − | 0.0399629i | ||||
\(852\) | 11.3694 | − | 32.6574i | 0.389509 | − | 1.11883i | ||||
\(853\) | 16.1682 | − | 16.1682i | 0.553590 | − | 0.553590i | −0.373885 | − | 0.927475i | \(-0.621975\pi\) |
0.927475 | + | 0.373885i | \(0.121975\pi\) | |||||||
\(854\) | −42.3529 | + | 13.0347i | −1.44929 | + | 0.446039i | ||||
\(855\) | 6.12030 | + | 2.48406i | 0.209310 | + | 0.0849531i | ||||
\(856\) | 36.5736 | + | 13.1129i | 1.25006 | + | 0.448188i | ||||
\(857\) | −24.5006 | + | 14.1455i | −0.836926 | + | 0.483200i | −0.856218 | − | 0.516614i | \(-0.827192\pi\) |
0.0192920 | + | 0.999814i | \(0.493859\pi\) | |||||||
\(858\) | 42.0539 | − | 54.5682i | 1.43570 | − | 1.86293i | ||||
\(859\) | 2.85106 | + | 10.6403i | 0.0972770 | + | 0.363043i | 0.997355 | − | 0.0726865i | \(-0.0231572\pi\) |
−0.900078 | + | 0.435729i | \(0.856491\pi\) | |||||||
\(860\) | −5.02228 | + | 11.7464i | −0.171258 | + | 0.400548i | ||||
\(861\) | 8.01749 | + | 25.2196i | 0.273235 | + | 0.859480i | ||||
\(862\) | 1.56605 | + | 0.320747i | 0.0533399 | + | 0.0109247i | ||||
\(863\) | −14.2102 | − | 8.20426i | −0.483721 | − | 0.279276i | 0.238245 | − | 0.971205i | \(-0.423428\pi\) |
−0.721966 | + | 0.691929i | \(0.756761\pi\) | |||||||
\(864\) | 8.10720 | − | 28.2537i | 0.275812 | − | 0.961211i | ||||
\(865\) | 1.05335 | + | 1.82446i | 0.0358150 | + | 0.0620334i | ||||
\(866\) | 5.02463 | − | 5.66439i | 0.170744 | − | 0.192484i | ||||
\(867\) | −14.9869 | + | 10.0915i | −0.508980 | + | 0.342724i | ||||
\(868\) | 22.5072 | + | 3.75362i | 0.763944 | + | 0.127406i | ||||
\(869\) | 35.4255 | − | 35.4255i | 1.20173 | − | 1.20173i | ||||
\(870\) | −1.40081 | + | 10.4703i | −0.0474918 | + | 0.354977i | ||||
\(871\) | 2.01147 | + | 3.48397i | 0.0681560 | + | 0.118050i | ||||
\(872\) | 1.05583 | − | 0.894634i | 0.0357549 | − | 0.0302961i | ||||
\(873\) | −36.0830 | + | 28.0991i | −1.22123 | + | 0.951010i | ||||
\(874\) | 12.1590 | − | 8.02504i | 0.411284 | − | 0.271451i | ||||
\(875\) | 0.455704 | − | 19.7964i | 0.0154056 | − | 0.669241i | ||||
\(876\) | 31.5071 | − | 6.01311i | 1.06453 | − | 0.203164i | ||||
\(877\) | −9.30456 | − | 34.7251i | −0.314193 | − | 1.17258i | −0.924739 | − | 0.380602i | \(-0.875717\pi\) |
0.610546 | − | 0.791981i | \(-0.290950\pi\) | |||||||
\(878\) | −2.68678 | + | 0.895084i | −0.0906744 | + | 0.0302076i | ||||
\(879\) | −14.6557 | − | 42.6732i | −0.494324 | − | 1.43933i | ||||
\(880\) | 12.7594 | − | 3.11058i | 0.430120 | − | 0.104858i | ||||
\(881\) | 17.0174 | 0.573331 | 0.286666 | − | 0.958031i | \(-0.407453\pi\) | ||||
0.286666 | + | 0.958031i | \(0.407453\pi\) | |||||||
\(882\) | −29.5190 | − | 3.26054i | −0.993955 | − | 0.109788i | ||||
\(883\) | −1.71357 | + | 1.71357i | −0.0576662 | + | 0.0576662i | −0.735352 | − | 0.677686i | \(-0.762983\pi\) |
0.677686 | + | 0.735352i | \(0.262983\pi\) | |||||||
\(884\) | −34.7529 | − | 4.97679i | −1.16887 | − | 0.167388i | ||||
\(885\) | 0.0704192 | − | 0.144091i | 0.00236711 | − | 0.00484355i | ||||
\(886\) | −1.01654 | + | 2.03221i | −0.0341512 | + | 0.0682733i | ||||
\(887\) | −45.7410 | − | 26.4086i | −1.53583 | − | 0.886714i | −0.999076 | − | 0.0429779i | \(-0.986316\pi\) |
−0.536758 | − | 0.843736i | \(-0.680351\pi\) | |||||||
\(888\) | −1.13252 | + | 1.10249i | −0.0380050 | + | 0.0369971i | ||||
\(889\) | −4.33275 | + | 4.13776i | −0.145316 | + | 0.138776i | ||||
\(890\) | −8.12649 | − | 12.3127i | −0.272400 | − | 0.412722i | ||||
\(891\) | −18.0200 | + | 32.2671i | −0.603693 | + | 1.08099i | ||||
\(892\) | −11.9540 | + | 1.43608i | −0.400248 | + | 0.0480835i | ||||
\(893\) | 2.40941 | − | 8.99206i | 0.0806280 | − | 0.300908i | ||||
\(894\) | 16.8834 | − | 12.8989i | 0.564666 | − | 0.431403i | ||||
\(895\) | 6.74092i | 0.225324i | ||||||||
\(896\) | 11.5310 | + | 27.6231i | 0.385223 | + | 0.922824i | ||||
\(897\) | 43.5565 | + | 8.50239i | 1.45431 | + | 0.283886i | ||||
\(898\) | −31.4109 | + | 35.4102i | −1.04819 | + | 1.18166i | ||||
\(899\) | −22.4666 | − | 6.01990i | −0.749302 | − | 0.200775i | ||||
\(900\) | 6.87787 | − | 25.2442i | 0.229262 | − | 0.841473i | ||||
\(901\) | 4.27080 | + | 15.9389i | 0.142281 | + | 0.531000i | ||||
\(902\) | −27.9895 | + | 18.4733i | −0.931949 | + | 0.615095i | ||||
\(903\) | 32.5133 | + | 16.8275i | 1.08197 | + | 0.559983i | ||||
\(904\) | −18.2011 | − | 12.6146i | −0.605361 | − | 0.419554i | ||||
\(905\) | 4.33258 | − | 7.50425i | 0.144020 | − | 0.249450i | ||||
\(906\) | −11.3009 | − | 8.70922i | −0.375447 | − | 0.289344i | ||||
\(907\) | −5.29094 | + | 19.7461i | −0.175683 | + | 0.655657i | 0.820752 | + | 0.571285i | \(0.193555\pi\) |
−0.996434 | + | 0.0843718i | \(0.973112\pi\) | |||||||
\(908\) | −3.31698 | + | 23.1624i | −0.110078 | + | 0.768672i | ||||
\(909\) | −48.3321 | + | 20.4253i | −1.60307 | + | 0.677465i | ||||
\(910\) | −18.1094 | − | 9.58580i | −0.600320 | − | 0.317766i | ||||
\(911\) | − | 40.9626i | − | 1.35715i | −0.734530 | − | 0.678576i | \(-0.762597\pi\) | ||
0.734530 | − | 0.678576i | \(-0.237403\pi\) | |||||||
\(912\) | −19.0579 | + | 0.883840i | −0.631070 | + | 0.0292669i | ||||
\(913\) | 13.4875 | − | 7.78701i | 0.446371 | − | 0.257712i | ||||
\(914\) | 8.07001 | + | 24.2238i | 0.266932 | + | 0.801251i | ||||
\(915\) | 16.3621 | − | 1.13111i | 0.540914 | − | 0.0373933i | ||||
\(916\) | 14.0000 | − | 5.61387i | 0.462572 | − | 0.185487i | ||||
\(917\) | −1.54827 | − | 0.942057i | −0.0511285 | − | 0.0311095i | ||||
\(918\) | 18.8333 | − | 0.0949435i | 0.621592 | − | 0.00313360i | ||||
\(919\) | 49.2908 | + | 28.4581i | 1.62595 | + | 0.938745i | 0.985283 | + | 0.170928i | \(0.0546766\pi\) |
0.640670 | + | 0.767816i | \(0.278657\pi\) | |||||||
\(920\) | 5.46905 | + | 6.45447i | 0.180309 | + | 0.212798i | ||||
\(921\) | 6.43955 | + | 18.7501i | 0.212190 | + | 0.617837i | ||||
\(922\) | 19.9897 | − | 1.19642i | 0.658326 | − | 0.0394021i | ||||
\(923\) | −48.3450 | − | 48.3450i | −1.59130 | − | 1.59130i | ||||
\(924\) | −6.20282 | − | 37.1214i | −0.204058 | − | 1.22120i | ||||
\(925\) | −0.994815 | + | 0.994815i | −0.0327093 | + | 0.0327093i | ||||
\(926\) | 37.1916 | + | 32.9910i | 1.22219 | + | 1.08415i | ||||
\(927\) | 24.5122 | − | 3.40531i | 0.805085 | − | 0.111845i | ||||
\(928\) | −8.98490 | − | 29.1590i | −0.294944 | − | 0.957189i | ||||
\(929\) | 12.9239 | − | 22.3849i | 0.424020 | − | 0.734424i | −0.572309 | − | 0.820038i | \(-0.693952\pi\) |
0.996328 | + | 0.0856147i | \(0.0272854\pi\) | |||||||
\(930\) | −7.79569 | − | 3.24827i | −0.255631 | − | 0.106515i | ||||
\(931\) | 4.12698 | + | 18.8291i | 0.135256 | + | 0.617100i | ||||
\(932\) | −31.2053 | − | 13.3421i | −1.02216 | − | 0.437037i | ||||
\(933\) | 14.5791 | − | 1.00785i | 0.477300 | − | 0.0329956i | ||||
\(934\) | −15.2297 | + | 30.4465i | −0.498332 | + | 0.996239i | ||||
\(935\) | 4.20740 | + | 7.28743i | 0.137597 | + | 0.238324i | ||||
\(936\) | −43.3141 | − | 38.7482i | −1.41577 | − | 1.26652i | ||||
\(937\) | 52.1716 | 1.70437 | 0.852186 | − | 0.523240i | \(-0.175277\pi\) | ||||
0.852186 | + | 0.523240i | \(0.175277\pi\) | |||||||
\(938\) | 2.14232 | + | 0.490400i | 0.0699491 | + | 0.0160121i | ||||
\(939\) | −17.1157 | + | 11.5249i | −0.558549 | + | 0.376102i | ||||
\(940\) | 5.35130 | + | 0.766333i | 0.174540 | + | 0.0249950i | ||||
\(941\) | −21.6584 | − | 5.80336i | −0.706044 | − | 0.189184i | −0.112108 | − | 0.993696i | \(-0.535760\pi\) |
−0.593936 | + | 0.804512i | \(0.702427\pi\) | |||||||
\(942\) | 3.77247 | − | 0.488602i | 0.122914 | − | 0.0159195i | ||||
\(943\) | −18.7087 | − | 10.8015i | −0.609240 | − | 0.351745i | ||||
\(944\) | −0.0105037 | + | 0.463114i | −0.000341865 | + | 0.0150731i | ||||
\(945\) | 10.3643 | + | 3.66105i | 0.337152 | + | 0.119094i | ||||
\(946\) | −9.30895 | + | 45.4511i | −0.302660 | + | 1.47774i | ||||
\(947\) | 12.7223 | − | 3.40893i | 0.413419 | − | 0.110775i | −0.0461133 | − | 0.998936i | \(-0.514684\pi\) |
0.459533 | + | 0.888161i | \(0.348017\pi\) | |||||||
\(948\) | −27.6180 | − | 31.9903i | −0.896993 | − | 1.03900i | ||||
\(949\) | 16.4141 | − | 61.2582i | 0.532824 | − | 1.98853i | ||||
\(950\) | −16.9519 | + | 1.01461i | −0.549992 | + | 0.0329181i | ||||
\(951\) | −37.3344 | − | 7.28781i | −1.21065 | − | 0.236323i | ||||
\(952\) | −14.9141 | + | 12.0586i | −0.483369 | + | 0.390822i | ||||
\(953\) | 45.5719 | 1.47622 | 0.738109 | − | 0.674682i | \(-0.235719\pi\) | ||||
0.738109 | + | 0.674682i | \(0.235719\pi\) | |||||||
\(954\) | −8.74231 | + | 25.8790i | −0.283043 | + | 0.837865i | ||||
\(955\) | −13.4057 | − | 3.59204i | −0.433798 | − | 0.116236i | ||||
\(956\) | 2.21779 | − | 0.266433i | 0.0717286 | − | 0.00861707i | ||||
\(957\) | 2.64575 | + | 38.2722i | 0.0855249 | + | 1.23717i | ||||
\(958\) | −2.11789 | + | 10.3406i | −0.0684258 | + | 0.334090i | ||||
\(959\) | 24.8332 | + | 7.27054i | 0.801907 | + | 0.234778i | ||||
\(960\) | −1.82961 | − | 10.9267i | −0.0590504 | − | 0.352658i | ||||
\(961\) | −6.20245 | + | 10.7430i | −0.200079 | + | 0.346547i | ||||
\(962\) | 0.987699 | + | 2.96478i | 0.0318447 | + | 0.0955884i | ||||
\(963\) | −24.8530 | + | 32.8725i | −0.800878 | + | 1.05930i | ||||
\(964\) | 6.81854 | + | 9.09785i | 0.219610 | + | 0.293022i | ||||
\(965\) | 3.51832 | + | 3.51832i | 0.113259 | + | 0.113259i | ||||
\(966\) | 19.5986 | − | 14.2712i | 0.630575 | − | 0.459167i | ||||
\(967\) | − | 40.2001i | − | 1.29275i | −0.763020 | − | 0.646374i | \(-0.776284\pi\) | ||
0.763020 | − | 0.646374i | \(-0.223716\pi\) | |||||||
\(968\) | 14.9950 | − | 7.08025i | 0.481956 | − | 0.227568i | ||||
\(969\) | −3.97061 | − | 11.5613i | −0.127554 | − | 0.371402i | ||||
\(970\) | −7.71140 | + | 15.4162i | −0.247598 | + | 0.494985i | ||||
\(971\) | 20.4364 | − | 5.47591i | 0.655834 | − | 0.175730i | 0.0844688 | − | 0.996426i | \(-0.473081\pi\) |
0.571365 | + | 0.820696i | \(0.306414\pi\) | |||||||
\(972\) | 26.0349 | + | 17.1518i | 0.835070 | + | 0.550144i | ||||
\(973\) | 0.412187 | − | 17.9059i | 0.0132141 | − | 0.574038i | ||||
\(974\) | −26.6052 | − | 5.44908i | −0.852485 | − | 0.174600i | ||||
\(975\) | −39.0151 | − | 33.9697i | −1.24948 | − | 1.08790i | ||||
\(976\) | −41.5527 | + | 22.7501i | −1.33007 | + | 0.728214i | ||||
\(977\) | −21.5127 | + | 12.4204i | −0.688252 | + | 0.397362i | −0.802957 | − | 0.596037i | \(-0.796741\pi\) |
0.114705 | + | 0.993400i | \(0.463408\pi\) | |||||||
\(978\) | −42.0995 | + | 32.1639i | −1.34620 | + | 1.02849i | ||||
\(979\) | −37.8846 | − | 37.8846i | −1.21080 | − | 1.21080i | ||||
\(980\) | −10.5702 | + | 3.68361i | −0.337652 | + | 0.117669i | ||||
\(981\) | 0.571384 | + | 1.35206i | 0.0182429 | + | 0.0431678i | ||||
\(982\) | 24.6779 | − | 1.47702i | 0.787503 | − | 0.0471336i | ||||
\(983\) | −7.48665 | + | 4.32242i | −0.238787 | + | 0.137864i | −0.614619 | − | 0.788824i | \(-0.710690\pi\) |
0.375832 | + | 0.926688i | \(0.377357\pi\) | |||||||
\(984\) | 13.8147 | + | 24.6881i | 0.440398 | + | 0.787028i | ||||
\(985\) | −10.4308 | + | 18.0667i | −0.332353 | + | 0.575652i | ||||
\(986\) | 16.3164 | − | 10.7690i | 0.519622 | − | 0.342955i | ||||
\(987\) | 3.31718 | − | 15.1326i | 0.105587 | − | 0.481675i | ||||
\(988\) | −14.8294 | + | 34.6839i | −0.471788 | + | 1.10344i | ||||
\(989\) | −28.8676 | + | 7.73505i | −0.917936 | + | 0.245960i | ||||
\(990\) | −0.890602 | + | 13.9013i | −0.0283052 | + | 0.441812i | ||||
\(991\) | −17.7772 | − | 30.7911i | −0.564713 | − | 0.978111i | −0.997076 | − | 0.0764118i | \(-0.975654\pi\) |
0.432364 | − | 0.901699i | \(-0.357680\pi\) | |||||||
\(992\) | 24.3767 | − | 0.904890i | 0.773962 | − | 0.0287303i | ||||
\(993\) | 23.3749 | + | 4.56287i | 0.741780 | + | 0.144798i | ||||
\(994\) | −37.3254 | + | 1.37289i | −1.18389 | + | 0.0435455i | ||||
\(995\) | −0.666923 | − | 0.666923i | −0.0211429 | − | 0.0211429i | ||||
\(996\) | −5.71905 | − | 11.8278i | −0.181215 | − | 0.374779i | ||||
\(997\) | −60.4741 | − | 16.2040i | −1.91523 | − | 0.513185i | −0.991492 | − | 0.130170i | \(-0.958448\pi\) |
−0.923742 | − | 0.383015i | \(-0.874886\pi\) | |||||||
\(998\) | 11.4606 | − | 22.9114i | 0.362779 | − | 0.725248i | ||||
\(999\) | −0.757518 | − | 1.49550i | −0.0239668 | − | 0.0473155i |
(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 | 336.2.bo.a.5.14 | ✓ | 240 | |
3.2 | odd | 2 | inner | 336.2.bo.a.5.47 | yes | 240 | |
7.3 | odd | 6 | inner | 336.2.bo.a.101.55 | yes | 240 | |
16.13 | even | 4 | inner | 336.2.bo.a.173.6 | yes | 240 | |
21.17 | even | 6 | inner | 336.2.bo.a.101.6 | yes | 240 | |
48.29 | odd | 4 | inner | 336.2.bo.a.173.55 | yes | 240 | |
112.45 | odd | 12 | inner | 336.2.bo.a.269.47 | yes | 240 | |
336.269 | even | 12 | inner | 336.2.bo.a.269.14 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.2.bo.a.5.14 | ✓ | 240 | 1.1 | even | 1 | trivial | |
336.2.bo.a.5.47 | yes | 240 | 3.2 | odd | 2 | inner | |
336.2.bo.a.101.6 | yes | 240 | 21.17 | even | 6 | inner | |
336.2.bo.a.101.55 | yes | 240 | 7.3 | odd | 6 | inner | |
336.2.bo.a.173.6 | yes | 240 | 16.13 | even | 4 | inner | |
336.2.bo.a.173.55 | yes | 240 | 48.29 | odd | 4 | inner | |
336.2.bo.a.269.14 | yes | 240 | 336.269 | even | 12 | inner | |
336.2.bo.a.269.47 | yes | 240 | 112.45 | odd | 12 | inner |