Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [80,2,Mod(29,80)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(80, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("80.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 80 = 2^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 80.q (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.638803216170\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(i)\) |
Coefficient field: | 16.0.534694406811304329216.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2x^{14} - 2x^{12} + 4x^{10} + 4x^{8} + 16x^{6} - 32x^{4} - 128x^{2} + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{5} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 29.2 | ||
Root | \(-0.841995 - 1.13624i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 80.29 |
Dual form | 80.2.q.c.69.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.13624 | − | 0.841995i | −0.803444 | − | 0.595380i | ||||
\(3\) | 1.86033 | − | 1.86033i | 1.07406 | − | 1.07406i | 0.0770310 | − | 0.997029i | \(-0.475456\pi\) |
0.997029 | − | 0.0770310i | \(-0.0245441\pi\) | |||||||
\(4\) | 0.582088 | + | 1.91342i | 0.291044 | + | 0.956710i | ||||
\(5\) | 1.90421 | + | 1.17216i | 0.851591 | + | 0.524207i | ||||
\(6\) | −3.68016 | + | 0.547394i | −1.50242 | + | 0.223473i | ||||
\(7\) | −3.61392 | −1.36593 | −0.682966 | − | 0.730450i | \(-0.739310\pi\) | ||||
−0.682966 | + | 0.730450i | \(0.739310\pi\) | |||||||
\(8\) | 0.949697 | − | 2.66422i | 0.335768 | − | 0.941945i | ||||
\(9\) | − | 3.92163i | − | 1.30721i | ||||||
\(10\) | −1.17669 | − | 2.93520i | −0.372102 | − | 0.928192i | ||||
\(11\) | −0.0947876 | + | 0.0947876i | −0.0285795 | + | 0.0285795i | −0.721252 | − | 0.692673i | \(-0.756433\pi\) |
0.692673 | + | 0.721252i | \(0.256433\pi\) | |||||||
\(12\) | 4.64246 | + | 2.47671i | 1.34016 | + | 0.714964i | ||||
\(13\) | −2.59462 | + | 2.59462i | −0.719618 | + | 0.719618i | −0.968527 | − | 0.248909i | \(-0.919928\pi\) |
0.248909 | + | 0.968527i | \(0.419928\pi\) | |||||||
\(14\) | 4.10628 | + | 3.04290i | 1.09745 | + | 0.813250i | ||||
\(15\) | 5.72307 | − | 1.36185i | 1.47769 | − | 0.351629i | ||||
\(16\) | −3.32235 | + | 2.22756i | −0.830587 | + | 0.556890i | ||||
\(17\) | 1.89939i | 0.460671i | 0.973111 | + | 0.230335i | \(0.0739823\pi\) | ||||
−0.973111 | + | 0.230335i | \(0.926018\pi\) | |||||||
\(18\) | −3.30199 | + | 4.45591i | −0.778286 | + | 1.05027i | ||||
\(19\) | −2.16418 | − | 2.16418i | −0.496496 | − | 0.496496i | 0.413849 | − | 0.910345i | \(-0.364184\pi\) |
−0.910345 | + | 0.413849i | \(0.864184\pi\) | |||||||
\(20\) | −1.13442 | + | 4.32586i | −0.253664 | + | 0.967292i | ||||
\(21\) | −6.72307 | + | 6.72307i | −1.46709 | + | 1.46709i | ||||
\(22\) | 0.187512 | − | 0.0278909i | 0.0399777 | − | 0.00594636i | ||||
\(23\) | 5.08251 | 1.05978 | 0.529888 | − | 0.848068i | \(-0.322234\pi\) | ||||
0.529888 | + | 0.848068i | \(0.322234\pi\) | |||||||
\(24\) | −3.18958 | − | 6.72307i | −0.651069 | − | 1.37234i | ||||
\(25\) | 2.25207 | + | 4.46410i | 0.450413 | + | 0.892820i | ||||
\(26\) | 5.13277 | − | 0.763457i | 1.00662 | − | 0.149726i | ||||
\(27\) | −1.71452 | − | 1.71452i | −0.329960 | − | 0.329960i | ||||
\(28\) | −2.10362 | − | 6.91494i | −0.397547 | − | 1.30680i | ||||
\(29\) | 1.25896 | + | 1.25896i | 0.233784 | + | 0.233784i | 0.814270 | − | 0.580486i | \(-0.197137\pi\) |
−0.580486 | + | 0.814270i | \(0.697137\pi\) | |||||||
\(30\) | −7.64946 | − | 3.27140i | −1.39659 | − | 0.597273i | ||||
\(31\) | −1.27453 | −0.228912 | −0.114456 | − | 0.993428i | \(-0.536512\pi\) | ||||
−0.114456 | + | 0.993428i | \(0.536512\pi\) | |||||||
\(32\) | 5.65058 | + | 0.266355i | 0.998891 | + | 0.0470854i | ||||
\(33\) | 0.352672i | 0.0613923i | ||||||||
\(34\) | 1.59928 | − | 2.15817i | 0.274274 | − | 0.370123i | ||||
\(35\) | −6.88168 | − | 4.23610i | −1.16322 | − | 0.716032i | ||||
\(36\) | 7.50371 | − | 2.28273i | 1.25062 | − | 0.380456i | ||||
\(37\) | −2.25207 | − | 2.25207i | −0.370237 | − | 0.370237i | 0.497326 | − | 0.867564i | \(-0.334315\pi\) |
−0.867564 | + | 0.497326i | \(0.834315\pi\) | |||||||
\(38\) | 0.636801 | + | 4.28125i | 0.103303 | + | 0.694511i | ||||
\(39\) | 9.65368i | 1.54583i | ||||||||
\(40\) | 4.93133 | − | 3.96005i | 0.779712 | − | 0.626139i | ||||
\(41\) | − | 8.52451i | − | 1.33130i | −0.746262 | − | 0.665652i | \(-0.768153\pi\) | ||
0.746262 | − | 0.665652i | \(-0.231847\pi\) | |||||||
\(42\) | 13.2998 | − | 1.97824i | 2.05221 | − | 0.305249i | ||||
\(43\) | −1.61439 | − | 1.61439i | −0.246192 | − | 0.246192i | 0.573214 | − | 0.819406i | \(-0.305696\pi\) |
−0.819406 | + | 0.573214i | \(0.805696\pi\) | |||||||
\(44\) | −0.236543 | − | 0.126194i | −0.0356602 | − | 0.0190244i | ||||
\(45\) | 4.59679 | − | 7.46762i | 0.685249 | − | 1.11321i | ||||
\(46\) | −5.77495 | − | 4.27944i | −0.851470 | − | 0.630970i | ||||
\(47\) | − | 2.53884i | − | 0.370328i | −0.982708 | − | 0.185164i | \(-0.940718\pi\) | ||
0.982708 | − | 0.185164i | \(-0.0592816\pi\) | |||||||
\(48\) | −2.03666 | + | 10.3246i | −0.293967 | + | 1.49023i | ||||
\(49\) | 6.06040 | 0.865772 | ||||||||
\(50\) | 1.19986 | − | 6.96852i | 0.169686 | − | 0.985498i | ||||
\(51\) | 3.53349 | + | 3.53349i | 0.494788 | + | 0.494788i | ||||
\(52\) | −6.47489 | − | 3.45430i | −0.897906 | − | 0.479025i | ||||
\(53\) | −5.67100 | − | 5.67100i | −0.778971 | − | 0.778971i | 0.200684 | − | 0.979656i | \(-0.435683\pi\) |
−0.979656 | + | 0.200684i | \(0.935683\pi\) | |||||||
\(54\) | 0.504492 | + | 3.39174i | 0.0686527 | + | 0.461557i | ||||
\(55\) | −0.291602 | + | 0.0693893i | −0.0393197 | + | 0.00935646i | ||||
\(56\) | −3.43213 | + | 9.62828i | −0.458637 | + | 1.28663i | ||||
\(57\) | −8.05215 | −1.06653 | ||||||||
\(58\) | −0.370445 | − | 2.49053i | −0.0486419 | − | 0.327023i | ||||
\(59\) | −7.81785 | + | 7.81785i | −1.01780 | + | 1.01780i | −0.0179591 | + | 0.999839i | \(0.505717\pi\) |
−0.999839 | + | 0.0179591i | \(0.994283\pi\) | |||||||
\(60\) | 5.93713 | + | 10.1579i | 0.766480 | + | 1.31138i | ||||
\(61\) | 3.46410 | + | 3.46410i | 0.443533 | + | 0.443533i | 0.893197 | − | 0.449665i | \(-0.148457\pi\) |
−0.449665 | + | 0.893197i | \(0.648457\pi\) | |||||||
\(62\) | 1.44817 | + | 1.07315i | 0.183918 | + | 0.136290i | ||||
\(63\) | 14.1724i | 1.78556i | ||||||||
\(64\) | −6.19615 | − | 5.06040i | −0.774519 | − | 0.632551i | ||||
\(65\) | −7.98203 | + | 1.89939i | −0.990049 | + | 0.235591i | ||||
\(66\) | 0.296948 | − | 0.400720i | 0.0365517 | − | 0.0493252i | ||||
\(67\) | −6.29856 | + | 6.29856i | −0.769491 | + | 0.769491i | −0.978017 | − | 0.208526i | \(-0.933134\pi\) |
0.208526 | + | 0.978017i | \(0.433134\pi\) | |||||||
\(68\) | −3.63434 | + | 1.10561i | −0.440728 | + | 0.134076i | ||||
\(69\) | 9.45512 | − | 9.45512i | 1.13826 | − | 1.13826i | ||||
\(70\) | 4.25246 | + | 10.6076i | 0.508267 | + | 1.26785i | ||||
\(71\) | − | 11.3074i | − | 1.34194i | −0.741486 | − | 0.670968i | \(-0.765879\pi\) | ||
0.741486 | − | 0.670968i | \(-0.234121\pi\) | |||||||
\(72\) | −10.4481 | − | 3.72436i | −1.23132 | − | 0.438919i | ||||
\(73\) | 16.1786 | 1.89356 | 0.946779 | − | 0.321885i | \(-0.104316\pi\) | ||||
0.946779 | + | 0.321885i | \(0.104316\pi\) | |||||||
\(74\) | 0.662661 | + | 4.45512i | 0.0770328 | + | 0.517897i | ||||
\(75\) | 12.4943 | + | 4.11511i | 1.44271 | + | 0.475172i | ||||
\(76\) | 2.88124 | − | 5.40072i | 0.330500 | − | 0.619505i | ||||
\(77\) | 0.342555 | − | 0.342555i | 0.0390377 | − | 0.0390377i | ||||
\(78\) | 8.12835 | − | 10.9689i | 0.920354 | − | 1.24198i | ||||
\(79\) | 1.13575 | 0.127782 | 0.0638908 | − | 0.997957i | \(-0.479649\pi\) | ||||
0.0638908 | + | 0.997957i | \(0.479649\pi\) | |||||||
\(80\) | −8.93752 | + | 0.347416i | −0.999245 | + | 0.0388423i | ||||
\(81\) | 5.38573 | 0.598414 | ||||||||
\(82\) | −7.17759 | + | 9.68590i | −0.792633 | + | 1.06963i | ||||
\(83\) | 3.75489 | − | 3.75489i | 0.412153 | − | 0.412153i | −0.470335 | − | 0.882488i | \(-0.655867\pi\) |
0.882488 | + | 0.470335i | \(0.155867\pi\) | |||||||
\(84\) | −16.7775 | − | 8.95062i | −1.83057 | − | 0.976593i | ||||
\(85\) | −2.22640 | + | 3.61685i | −0.241487 | + | 0.392303i | ||||
\(86\) | 0.475028 | + | 3.19364i | 0.0512235 | + | 0.344379i | ||||
\(87\) | 4.68417 | 0.502196 | ||||||||
\(88\) | 0.162516 | + | 0.342555i | 0.0173242 | + | 0.0365164i | ||||
\(89\) | 3.98203i | 0.422094i | 0.977476 | + | 0.211047i | \(0.0676874\pi\) | ||||
−0.977476 | + | 0.211047i | \(0.932313\pi\) | |||||||
\(90\) | −11.5108 | + | 4.61454i | −1.21334 | + | 0.486415i | ||||
\(91\) | 9.37674 | − | 9.37674i | 0.982950 | − | 0.982950i | ||||
\(92\) | 2.95847 | + | 9.72496i | 0.308442 | + | 1.01390i | ||||
\(93\) | −2.37103 | + | 2.37103i | −0.245865 | + | 0.245865i | ||||
\(94\) | −2.13769 | + | 2.88473i | −0.220486 | + | 0.297537i | ||||
\(95\) | −1.58429 | − | 6.65783i | −0.162544 | − | 0.683079i | ||||
\(96\) | 11.0074 | − | 10.0164i | 1.12344 | − | 1.02230i | ||||
\(97\) | − | 10.3042i | − | 1.04623i | −0.852261 | − | 0.523117i | \(-0.824769\pi\) | ||
0.852261 | − | 0.523117i | \(-0.175231\pi\) | |||||||
\(98\) | −6.88608 | − | 5.10283i | −0.695599 | − | 0.515464i | ||||
\(99\) | 0.371721 | + | 0.371721i | 0.0373594 | + | 0.0373594i | ||||
\(100\) | −7.23080 | + | 6.90765i | −0.723080 | + | 0.690765i | ||||
\(101\) | 1.25896 | − | 1.25896i | 0.125272 | − | 0.125272i | −0.641691 | − | 0.766963i | \(-0.721767\pi\) |
0.766963 | + | 0.641691i | \(0.221767\pi\) | |||||||
\(102\) | −1.03972 | − | 6.99008i | −0.102947 | − | 0.692121i | ||||
\(103\) | −10.8655 | −1.07061 | −0.535306 | − | 0.844658i | \(-0.679804\pi\) | ||||
−0.535306 | + | 0.844658i | \(0.679804\pi\) | |||||||
\(104\) | 4.44854 | + | 9.37674i | 0.436215 | + | 0.919465i | ||||
\(105\) | −20.6827 | + | 4.92163i | −2.01842 | + | 0.480302i | ||||
\(106\) | 1.66867 | + | 11.2186i | 0.162075 | + | 1.08964i | ||||
\(107\) | 9.48167 | + | 9.48167i | 0.916628 | + | 0.916628i | 0.996782 | − | 0.0801549i | \(-0.0255415\pi\) |
−0.0801549 | + | 0.996782i | \(0.525541\pi\) | |||||||
\(108\) | 2.28260 | − | 4.27861i | 0.219643 | − | 0.411709i | ||||
\(109\) | −8.57530 | − | 8.57530i | −0.821365 | − | 0.821365i | 0.164939 | − | 0.986304i | \(-0.447257\pi\) |
−0.986304 | + | 0.164939i | \(0.947257\pi\) | |||||||
\(110\) | 0.389756 | + | 0.166685i | 0.0371618 | + | 0.0158928i | ||||
\(111\) | −8.37915 | −0.795314 | ||||||||
\(112\) | 12.0067 | − | 8.05021i | 1.13453 | − | 0.760674i | ||||
\(113\) | − | 12.5286i | − | 1.17860i | −0.807916 | − | 0.589298i | \(-0.799405\pi\) | ||
0.807916 | − | 0.589298i | \(-0.200595\pi\) | |||||||
\(114\) | 9.14918 | + | 6.77987i | 0.856900 | + | 0.634993i | ||||
\(115\) | 9.67818 | + | 5.95753i | 0.902495 | + | 0.555542i | ||||
\(116\) | −1.67610 | + | 3.14176i | −0.155622 | + | 0.291705i | ||||
\(117\) | 10.1751 | + | 10.1751i | 0.940691 | + | 0.940691i | ||||
\(118\) | 15.4656 | − | 2.30037i | 1.42372 | − | 0.211767i | ||||
\(119\) | − | 6.86425i | − | 0.629245i | ||||||
\(120\) | 1.80690 | − | 16.5409i | 0.164946 | − | 1.50997i | ||||
\(121\) | 10.9820i | 0.998366i | ||||||||
\(122\) | −1.01930 | − | 6.85281i | −0.0922830 | − | 0.620424i | ||||
\(123\) | −15.8584 | − | 15.8584i | −1.42990 | − | 1.42990i | ||||
\(124\) | −0.741887 | − | 2.43870i | −0.0666234 | − | 0.219002i | ||||
\(125\) | −0.944243 | + | 11.1404i | −0.0844556 | + | 0.996427i | ||||
\(126\) | 11.9331 | − | 16.1033i | 1.06309 | − | 1.43460i | ||||
\(127\) | − | 2.94200i | − | 0.261061i | −0.991444 | − | 0.130530i | \(-0.958332\pi\) | ||
0.991444 | − | 0.130530i | \(-0.0416680\pi\) | |||||||
\(128\) | 2.77949 | + | 10.9670i | 0.245674 | + | 0.969352i | ||||
\(129\) | −6.00658 | −0.528850 | ||||||||
\(130\) | 10.6688 | + | 4.56266i | 0.935715 | + | 0.400172i | ||||
\(131\) | 6.54333 | + | 6.54333i | 0.571693 | + | 0.571693i | 0.932601 | − | 0.360908i | \(-0.117533\pi\) |
−0.360908 | + | 0.932601i | \(0.617533\pi\) | |||||||
\(132\) | −0.674809 | + | 0.205286i | −0.0587346 | + | 0.0178679i | ||||
\(133\) | 7.82116 | + | 7.82116i | 0.678180 | + | 0.678180i | ||||
\(134\) | 12.4600 | − | 1.85333i | 1.07638 | − | 0.160103i | ||||
\(135\) | −1.25512 | − | 5.27453i | −0.108023 | − | 0.453959i | ||||
\(136\) | 5.06040 | + | 1.80385i | 0.433926 | + | 0.154679i | ||||
\(137\) | 1.82513 | 0.155931 | 0.0779657 | − | 0.996956i | \(-0.475158\pi\) | ||||
0.0779657 | + | 0.996956i | \(0.475158\pi\) | |||||||
\(138\) | −18.7045 | + | 2.78213i | −1.59223 | + | 0.236831i | ||||
\(139\) | −5.36931 | + | 5.36931i | −0.455419 | + | 0.455419i | −0.897148 | − | 0.441729i | \(-0.854365\pi\) |
0.441729 | + | 0.897148i | \(0.354365\pi\) | |||||||
\(140\) | 4.09970 | − | 15.6333i | 0.346488 | − | 1.32126i | ||||
\(141\) | −4.72307 | − | 4.72307i | −0.397754 | − | 0.397754i | ||||
\(142\) | −9.52074 | + | 12.8479i | −0.798962 | + | 1.07817i | ||||
\(143\) | − | 0.491875i | − | 0.0411327i | ||||||
\(144\) | 8.73565 | + | 13.0290i | 0.727971 | + | 1.08575i | ||||
\(145\) | 0.921626 | + | 3.87305i | 0.0765369 | + | 0.321639i | ||||
\(146\) | −18.3828 | − | 13.6223i | −1.52137 | − | 1.12739i | ||||
\(147\) | 11.2743 | − | 11.2743i | 0.929891 | − | 0.929891i | ||||
\(148\) | 2.99824 | − | 5.62005i | 0.246454 | − | 0.461965i | ||||
\(149\) | 4.37915 | − | 4.37915i | 0.358754 | − | 0.358754i | −0.504600 | − | 0.863354i | \(-0.668360\pi\) |
0.863354 | + | 0.504600i | \(0.168360\pi\) | |||||||
\(150\) | −10.7316 | − | 15.1959i | −0.876231 | − | 1.24074i | ||||
\(151\) | 12.9610i | 1.05475i | 0.849631 | + | 0.527377i | \(0.176824\pi\) | ||||
−0.849631 | + | 0.527377i | \(0.823176\pi\) | |||||||
\(152\) | −7.82116 | + | 3.71054i | −0.634380 | + | 0.300964i | ||||
\(153\) | 7.44871 | 0.602193 | ||||||||
\(154\) | −0.677654 | + | 0.100795i | −0.0546069 | + | 0.00812232i | ||||
\(155\) | −2.42697 | − | 1.49395i | −0.194939 | − | 0.119997i | ||||
\(156\) | −18.4715 | + | 5.61929i | −1.47891 | + | 0.449904i | ||||
\(157\) | 9.12723 | − | 9.12723i | 0.728432 | − | 0.728432i | −0.241875 | − | 0.970307i | \(-0.577762\pi\) |
0.970307 | + | 0.241875i | \(0.0777624\pi\) | |||||||
\(158\) | −1.29048 | − | 0.956294i | −0.102665 | − | 0.0760787i | ||||
\(159\) | −21.0998 | −1.67332 | ||||||||
\(160\) | 10.4477 | + | 7.13060i | 0.825964 | + | 0.563724i | ||||
\(161\) | −18.3678 | −1.44758 | ||||||||
\(162\) | −6.11949 | − | 4.53476i | −0.480792 | − | 0.356284i | ||||
\(163\) | −6.15099 | + | 6.15099i | −0.481783 | + | 0.481783i | −0.905701 | − | 0.423918i | \(-0.860654\pi\) |
0.423918 | + | 0.905701i | \(0.360654\pi\) | |||||||
\(164\) | 16.3110 | − | 4.96202i | 1.27367 | − | 0.387468i | ||||
\(165\) | −0.413389 | + | 0.671562i | −0.0321823 | + | 0.0522811i | ||||
\(166\) | −7.42806 | + | 1.10486i | −0.576529 | + | 0.0857539i | ||||
\(167\) | 0.710173 | 0.0549548 | 0.0274774 | − | 0.999622i | \(-0.491253\pi\) | ||||
0.0274774 | + | 0.999622i | \(0.491253\pi\) | |||||||
\(168\) | 11.5269 | + | 24.2966i | 0.889317 | + | 1.87452i | ||||
\(169\) | − | 0.464102i | − | 0.0357001i | ||||||
\(170\) | 5.57510 | − | 2.23500i | 0.427591 | − | 0.171417i | ||||
\(171\) | −8.48709 | + | 8.48709i | −0.649024 | + | 0.649024i | ||||
\(172\) | 2.14928 | − | 4.02872i | 0.163881 | − | 0.307187i | ||||
\(173\) | −14.1773 | + | 14.1773i | −1.07788 | + | 1.07788i | −0.0811779 | + | 0.996700i | \(0.525868\pi\) |
−0.996700 | + | 0.0811779i | \(0.974132\pi\) | |||||||
\(174\) | −5.32235 | − | 3.94405i | −0.403486 | − | 0.298997i | ||||
\(175\) | −8.13878 | − | 16.1329i | −0.615234 | − | 1.21953i | ||||
\(176\) | 0.103772 | − | 0.526062i | 0.00782213 | − | 0.0396534i | ||||
\(177\) | 29.0875i | 2.18635i | ||||||||
\(178\) | 3.35285 | − | 4.52455i | 0.251307 | − | 0.339129i | ||||
\(179\) | 9.00502 | + | 9.00502i | 0.673067 | + | 0.673067i | 0.958422 | − | 0.285355i | \(-0.0921115\pi\) |
−0.285355 | + | 0.958422i | \(0.592111\pi\) | |||||||
\(180\) | 16.9644 | + | 4.44877i | 1.26445 | + | 0.331592i | ||||
\(181\) | 14.1872 | − | 14.1872i | 1.05452 | − | 1.05452i | 0.0560986 | − | 0.998425i | \(-0.482134\pi\) |
0.998425 | − | 0.0560986i | \(-0.0178661\pi\) | |||||||
\(182\) | −18.5494 | + | 2.75907i | −1.37497 | + | 0.204516i | ||||
\(183\) | 12.8887 | 0.952761 | ||||||||
\(184\) | 4.82684 | − | 13.5409i | 0.355839 | − | 0.998250i | ||||
\(185\) | −1.64863 | − | 6.92820i | −0.121209 | − | 0.509372i | ||||
\(186\) | 4.69047 | − | 0.697668i | 0.343922 | − | 0.0511555i | ||||
\(187\) | −0.180039 | − | 0.180039i | −0.0131657 | − | 0.0131657i | ||||
\(188\) | 4.85786 | − | 1.47783i | 0.354296 | − | 0.107782i | ||||
\(189\) | 6.19615 | + | 6.19615i | 0.450704 | + | 0.450704i | ||||
\(190\) | −3.80572 | + | 8.89886i | −0.276096 | + | 0.645591i | ||||
\(191\) | 18.9282 | 1.36960 | 0.684798 | − | 0.728733i | \(-0.259890\pi\) | ||||
0.684798 | + | 0.728733i | \(0.259890\pi\) | |||||||
\(192\) | −20.9409 | + | 2.11286i | −1.51128 | + | 0.152483i | ||||
\(193\) | 21.3880i | 1.53954i | 0.638319 | + | 0.769772i | \(0.279630\pi\) | ||||
−0.638319 | + | 0.769772i | \(0.720370\pi\) | |||||||
\(194\) | −8.67610 | + | 11.7081i | −0.622908 | + | 0.840591i | ||||
\(195\) | −11.3157 | + | 18.3827i | −0.810333 | + | 1.31641i | ||||
\(196\) | 3.52769 | + | 11.5961i | 0.251978 | + | 0.828292i | ||||
\(197\) | −6.39341 | − | 6.39341i | −0.455511 | − | 0.455511i | 0.441667 | − | 0.897179i | \(-0.354387\pi\) |
−0.897179 | + | 0.441667i | \(0.854387\pi\) | |||||||
\(198\) | −0.109378 | − | 0.735353i | −0.00777313 | − | 0.0522593i | ||||
\(199\) | − | 5.85641i | − | 0.415150i | −0.978219 | − | 0.207575i | \(-0.933443\pi\) | ||
0.978219 | − | 0.207575i | \(-0.0665570\pi\) | |||||||
\(200\) | 14.0321 | − | 1.76046i | 0.992222 | − | 0.124483i | ||||
\(201\) | 23.4347i | 1.65296i | ||||||||
\(202\) | −2.49053 | + | 0.370445i | −0.175233 | + | 0.0260645i | ||||
\(203\) | −4.54979 | − | 4.54979i | −0.319333 | − | 0.319333i | ||||
\(204\) | −4.70425 | + | 8.81785i | −0.329363 | + | 0.617373i | ||||
\(205\) | 9.99212 | − | 16.2325i | 0.697880 | − | 1.13373i | ||||
\(206\) | 12.3459 | + | 9.14872i | 0.860177 | + | 0.637421i | ||||
\(207\) | − | 19.9317i | − | 1.38535i | ||||||
\(208\) | 2.84056 | − | 14.3999i | 0.196957 | − | 0.998453i | ||||
\(209\) | 0.410274 | 0.0283793 | ||||||||
\(210\) | 27.6445 | + | 11.8226i | 1.90765 | + | 0.815835i | ||||
\(211\) | −19.2640 | − | 19.2640i | −1.32619 | − | 1.32619i | −0.908668 | − | 0.417520i | \(-0.862900\pi\) |
−0.417520 | − | 0.908668i | \(-0.637100\pi\) | |||||||
\(212\) | 7.54997 | − | 14.1520i | 0.518534 | − | 0.971965i | ||||
\(213\) | −21.0354 | − | 21.0354i | −1.44132 | − | 1.44132i | ||||
\(214\) | −2.78994 | − | 18.7570i | −0.190717 | − | 1.28220i | ||||
\(215\) | −1.18181 | − | 4.96647i | −0.0805991 | − | 0.338710i | ||||
\(216\) | −6.19615 | + | 2.93960i | −0.421595 | + | 0.200014i | ||||
\(217\) | 4.60603 | 0.312678 | ||||||||
\(218\) | 2.52325 | + | 16.9640i | 0.170896 | + | 1.14895i | ||||
\(219\) | 30.0974 | − | 30.0974i | 2.03379 | − | 2.03379i | ||||
\(220\) | −0.302509 | − | 0.517567i | −0.0203952 | − | 0.0348944i | ||||
\(221\) | −4.92820 | − | 4.92820i | −0.331507 | − | 0.331507i | ||||
\(222\) | 9.52074 | + | 7.05520i | 0.638990 | + | 0.473514i | ||||
\(223\) | 20.1117i | 1.34678i | 0.739287 | + | 0.673390i | \(0.235163\pi\) | ||||
−0.739287 | + | 0.673390i | \(0.764837\pi\) | |||||||
\(224\) | −20.4207 | − | 0.962586i | −1.36442 | − | 0.0643155i | ||||
\(225\) | 17.5065 | − | 8.83176i | 1.16710 | − | 0.588784i | ||||
\(226\) | −10.5491 | + | 14.2356i | −0.701713 | + | 0.946935i | ||||
\(227\) | −4.21430 | + | 4.21430i | −0.279713 | + | 0.279713i | −0.832994 | − | 0.553282i | \(-0.813375\pi\) |
0.553282 | + | 0.832994i | \(0.313375\pi\) | |||||||
\(228\) | −4.68706 | − | 15.4071i | −0.310408 | − | 1.02036i | ||||
\(229\) | −18.0304 | + | 18.0304i | −1.19148 | + | 1.19148i | −0.214833 | + | 0.976651i | \(0.568921\pi\) |
−0.976651 | + | 0.214833i | \(0.931079\pi\) | |||||||
\(230\) | −5.98054 | − | 14.9182i | −0.394345 | − | 0.983675i | ||||
\(231\) | − | 1.27453i | − | 0.0838577i | ||||||
\(232\) | 4.54979 | − | 2.15853i | 0.298709 | − | 0.141714i | ||||
\(233\) | 4.57839 | 0.299941 | 0.149970 | − | 0.988691i | \(-0.452082\pi\) | ||||
0.149970 | + | 0.988691i | \(0.452082\pi\) | |||||||
\(234\) | −2.99399 | − | 20.1288i | −0.195723 | − | 1.31586i | ||||
\(235\) | 2.97593 | − | 4.83449i | 0.194128 | − | 0.315367i | ||||
\(236\) | −19.5095 | − | 10.4081i | −1.26996 | − | 0.677513i | ||||
\(237\) | 2.11286 | − | 2.11286i | 0.137245 | − | 0.137245i | ||||
\(238\) | −5.77967 | + | 7.79945i | −0.374640 | + | 0.505563i | ||||
\(239\) | 18.3104 | 1.18440 | 0.592200 | − | 0.805791i | \(-0.298259\pi\) | ||||
0.592200 | + | 0.805791i | \(0.298259\pi\) | |||||||
\(240\) | −15.9804 | + | 17.2730i | −1.03153 | + | 1.11497i | ||||
\(241\) | −9.31393 | −0.599963 | −0.299982 | − | 0.953945i | \(-0.596981\pi\) | ||||
−0.299982 | + | 0.953945i | \(0.596981\pi\) | |||||||
\(242\) | 9.24682 | − | 12.4782i | 0.594408 | − | 0.802131i | ||||
\(243\) | 15.1628 | − | 15.1628i | 0.972693 | − | 0.972693i | ||||
\(244\) | −4.61186 | + | 8.64469i | −0.295244 | + | 0.553420i | ||||
\(245\) | 11.5403 | + | 7.10379i | 0.737283 | + | 0.453844i | ||||
\(246\) | 4.66626 | + | 31.3716i | 0.297510 | + | 2.00018i | ||||
\(247\) | 11.2304 | 0.714575 | ||||||||
\(248\) | −1.21041 | + | 3.39562i | −0.0768613 | + | 0.215622i | ||||
\(249\) | − | 13.9706i | − | 0.885353i | ||||||
\(250\) | 10.4530 | − | 11.8631i | 0.661109 | − | 0.750290i | ||||
\(251\) | −14.2156 | + | 14.2156i | −0.897281 | + | 0.897281i | −0.995195 | − | 0.0979143i | \(-0.968783\pi\) |
0.0979143 | + | 0.995195i | \(0.468783\pi\) | |||||||
\(252\) | −27.1178 | + | 8.24961i | −1.70826 | + | 0.519677i | ||||
\(253\) | −0.481758 | + | 0.481758i | −0.0302879 | + | 0.0302879i | ||||
\(254\) | −2.47715 | + | 3.34283i | −0.155430 | + | 0.209748i | ||||
\(255\) | 2.58669 | + | 10.8704i | 0.161985 | + | 0.680728i | ||||
\(256\) | 6.07597 | − | 14.8014i | 0.379748 | − | 0.925090i | ||||
\(257\) | − | 17.1347i | − | 1.06883i | −0.845222 | − | 0.534416i | \(-0.820532\pi\) | ||
0.845222 | − | 0.534416i | \(-0.179468\pi\) | |||||||
\(258\) | 6.82492 | + | 5.05751i | 0.424901 | + | 0.314867i | ||||
\(259\) | 8.13878 | + | 8.13878i | 0.505719 | + | 0.505719i | ||||
\(260\) | −8.28058 | − | 14.1674i | −0.513540 | − | 0.878622i | ||||
\(261\) | 4.93719 | − | 4.93719i | 0.305604 | − | 0.305604i | ||||
\(262\) | −1.92535 | − | 12.9442i | −0.118948 | − | 0.799698i | ||||
\(263\) | 5.11593 | 0.315462 | 0.157731 | − | 0.987482i | \(-0.449582\pi\) | ||||
0.157731 | + | 0.987482i | \(0.449582\pi\) | |||||||
\(264\) | 0.939595 | + | 0.334931i | 0.0578281 | + | 0.0206136i | ||||
\(265\) | −4.15146 | − | 17.4461i | −0.255022 | − | 1.07171i | ||||
\(266\) | −2.30135 | − | 15.4721i | −0.141105 | − | 0.948655i | ||||
\(267\) | 7.40788 | + | 7.40788i | 0.453355 | + | 0.453355i | ||||
\(268\) | −15.7181 | − | 8.38546i | −0.960136 | − | 0.512224i | ||||
\(269\) | 19.1506 | + | 19.1506i | 1.16763 | + | 1.16763i | 0.982763 | + | 0.184870i | \(0.0591864\pi\) |
0.184870 | + | 0.982763i | \(0.440814\pi\) | |||||||
\(270\) | −3.01501 | + | 7.04994i | −0.183487 | + | 0.429046i | ||||
\(271\) | 4.72066 | 0.286760 | 0.143380 | − | 0.989668i | \(-0.454203\pi\) | ||||
0.143380 | + | 0.989668i | \(0.454203\pi\) | |||||||
\(272\) | −4.23101 | − | 6.31044i | −0.256543 | − | 0.382627i | ||||
\(273\) | − | 34.8876i | − | 2.11149i | ||||||
\(274\) | −2.07379 | − | 1.53675i | −0.125282 | − | 0.0928385i | ||||
\(275\) | −0.636609 | − | 0.209674i | −0.0383890 | − | 0.0126438i | ||||
\(276\) | 23.5953 | + | 12.5879i | 1.42027 | + | 0.757702i | ||||
\(277\) | 12.8887 | + | 12.8887i | 0.774408 | + | 0.774408i | 0.978874 | − | 0.204466i | \(-0.0655457\pi\) |
−0.204466 | + | 0.978874i | \(0.565546\pi\) | |||||||
\(278\) | 10.6218 | − | 1.57990i | 0.637052 | − | 0.0947561i | ||||
\(279\) | 4.99822i | 0.299235i | ||||||||
\(280\) | −17.8214 | + | 14.3113i | −1.06503 | + | 0.855263i | ||||
\(281\) | − | 16.4934i | − | 0.983913i | −0.870620 | − | 0.491956i | \(-0.836282\pi\) | ||
0.870620 | − | 0.491956i | \(-0.163718\pi\) | |||||||
\(282\) | 1.38974 | + | 9.34334i | 0.0827581 | + | 0.556388i | ||||
\(283\) | 7.69771 | + | 7.69771i | 0.457581 | + | 0.457581i | 0.897861 | − | 0.440279i | \(-0.145121\pi\) |
−0.440279 | + | 0.897861i | \(0.645121\pi\) | |||||||
\(284\) | 21.6357 | − | 6.58188i | 1.28384 | − | 0.390563i | ||||
\(285\) | −15.3330 | − | 9.43844i | −0.908250 | − | 0.559085i | ||||
\(286\) | −0.414157 | + | 0.558889i | −0.0244896 | + | 0.0330478i | ||||
\(287\) | 30.8069i | 1.81847i | ||||||||
\(288\) | 1.04455 | − | 22.1595i | 0.0615504 | − | 1.30576i | ||||
\(289\) | 13.3923 | 0.787783 | ||||||||
\(290\) | 2.21390 | − | 5.17672i | 0.130005 | − | 0.303988i | ||||
\(291\) | −19.1692 | − | 19.1692i | −1.12372 | − | 1.12372i | ||||
\(292\) | 9.41735 | + | 30.9564i | 0.551109 | + | 1.81158i | ||||
\(293\) | 5.75538 | + | 5.75538i | 0.336233 | + | 0.336233i | 0.854947 | − | 0.518715i | \(-0.173589\pi\) |
−0.518715 | + | 0.854947i | \(0.673589\pi\) | |||||||
\(294\) | −22.3033 | + | 3.31743i | −1.30075 | + | 0.193476i | ||||
\(295\) | −24.0507 | + | 5.72307i | −1.40028 | + | 0.333210i | ||||
\(296\) | −8.13878 | + | 3.86122i | −0.473057 | + | 0.224429i | ||||
\(297\) | 0.325031 | 0.0188602 | ||||||||
\(298\) | −8.66299 | + | 1.28855i | −0.501834 | + | 0.0746436i | ||||
\(299\) | −13.1872 | + | 13.1872i | −0.762634 | + | 0.762634i | ||||
\(300\) | −0.601165 | + | 26.3021i | −0.0347083 | + | 1.51855i | ||||
\(301\) | 5.83427 | + | 5.83427i | 0.336282 | + | 0.336282i | ||||
\(302\) | 10.9131 | − | 14.7269i | 0.627980 | − | 0.847435i | ||||
\(303\) | − | 4.68417i | − | 0.269098i | ||||||
\(304\) | 12.0110 | + | 2.36931i | 0.688877 | + | 0.135889i | ||||
\(305\) | 2.53590 | + | 10.6569i | 0.145205 | + | 0.610212i | ||||
\(306\) | −8.46353 | − | 6.27178i | −0.483828 | − | 0.358534i | ||||
\(307\) | −9.60547 | + | 9.60547i | −0.548213 | + | 0.548213i | −0.925924 | − | 0.377711i | \(-0.876711\pi\) |
0.377711 | + | 0.925924i | \(0.376711\pi\) | |||||||
\(308\) | 0.854848 | + | 0.456053i | 0.0487095 | + | 0.0259861i | ||||
\(309\) | −20.2134 | + | 20.2134i | −1.14990 | + | 1.14990i | ||||
\(310\) | 1.49972 | + | 3.74099i | 0.0851786 | + | 0.212474i | ||||
\(311\) | 20.3415i | 1.15346i | 0.816934 | + | 0.576731i | \(0.195672\pi\) | ||||
−0.816934 | + | 0.576731i | \(0.804328\pi\) | |||||||
\(312\) | 25.7195 | + | 9.16806i | 1.45608 | + | 0.519039i | ||||
\(313\) | −25.6414 | −1.44934 | −0.724669 | − | 0.689097i | \(-0.758007\pi\) | ||||
−0.724669 | + | 0.689097i | \(0.758007\pi\) | |||||||
\(314\) | −18.0558 | + | 2.68565i | −1.01895 | + | 0.151560i | ||||
\(315\) | −16.6124 | + | 26.9874i | −0.936003 | + | 1.52057i | ||||
\(316\) | 0.661106 | + | 2.17316i | 0.0371901 | + | 0.122250i | ||||
\(317\) | −0.945994 | + | 0.945994i | −0.0531323 | + | 0.0531323i | −0.733174 | − | 0.680041i | \(-0.761962\pi\) |
0.680041 | + | 0.733174i | \(0.261962\pi\) | |||||||
\(318\) | 23.9745 | + | 17.7659i | 1.34442 | + | 0.996264i | ||||
\(319\) | −0.238668 | −0.0133629 | ||||||||
\(320\) | −5.86718 | − | 16.8990i | −0.327985 | − | 0.944683i | ||||
\(321\) | 35.2780 | 1.96903 | ||||||||
\(322\) | 20.8702 | + | 15.4656i | 1.16305 | + | 0.861862i | ||||
\(323\) | 4.11062 | − | 4.11062i | 0.228721 | − | 0.228721i | ||||
\(324\) | 3.13497 | + | 10.3052i | 0.174165 | + | 0.572509i | ||||
\(325\) | −17.4259 | − | 5.73939i | −0.966615 | − | 0.318364i | ||||
\(326\) | 12.1681 | − | 1.80990i | 0.673929 | − | 0.100241i | ||||
\(327\) | −31.9057 | −1.76439 | ||||||||
\(328\) | −22.7112 | − | 8.09570i | −1.25401 | − | 0.447010i | ||||
\(329\) | 9.17515i | 0.505843i | ||||||||
\(330\) | 1.03516 | − | 0.414986i | 0.0569838 | − | 0.0228442i | ||||
\(331\) | 6.16418 | − | 6.16418i | 0.338814 | − | 0.338814i | −0.517107 | − | 0.855921i | \(-0.672991\pi\) |
0.855921 | + | 0.517107i | \(0.172991\pi\) | |||||||
\(332\) | 9.37036 | + | 4.99900i | 0.514265 | + | 0.274356i | ||||
\(333\) | −8.83176 | + | 8.83176i | −0.483977 | + | 0.483977i | ||||
\(334\) | −0.806928 | − | 0.597962i | −0.0441531 | − | 0.0327190i | ||||
\(335\) | −19.3767 | + | 4.61086i | −1.05866 | + | 0.251918i | ||||
\(336\) | 7.36033 | − | 37.3124i | 0.401539 | − | 2.03556i | ||||
\(337\) | − | 28.2333i | − | 1.53797i | −0.639269 | − | 0.768983i | \(-0.720763\pi\) | ||
0.639269 | − | 0.768983i | \(-0.279237\pi\) | |||||||
\(338\) | −0.390771 | + | 0.527331i | −0.0212552 | + | 0.0286830i | ||||
\(339\) | −23.3074 | − | 23.3074i | −1.26588 | − | 1.26588i | ||||
\(340\) | −8.21652 | − | 2.15471i | −0.445603 | − | 0.116855i | ||||
\(341\) | 0.120809 | − | 0.120809i | 0.00654219 | − | 0.00654219i | ||||
\(342\) | 16.7895 | − | 2.49729i | 0.907871 | − | 0.135038i | ||||
\(343\) | 3.39562 | 0.183346 | ||||||||
\(344\) | −5.83427 | + | 2.76791i | −0.314563 | + | 0.149236i | ||||
\(345\) | 29.0875 | − | 6.92163i | 1.56602 | − | 0.372648i | ||||
\(346\) | 28.0460 | − | 4.17161i | 1.50776 | − | 0.224267i | ||||
\(347\) | −13.0548 | − | 13.0548i | −0.700816 | − | 0.700816i | 0.263770 | − | 0.964586i | \(-0.415034\pi\) |
−0.964586 | + | 0.263770i | \(0.915034\pi\) | |||||||
\(348\) | 2.72660 | + | 8.96278i | 0.146161 | + | 0.480455i | ||||
\(349\) | −20.3080 | − | 20.3080i | −1.08706 | − | 1.08706i | −0.995830 | − | 0.0912314i | \(-0.970920\pi\) |
−0.0912314 | − | 0.995830i | \(-0.529080\pi\) | |||||||
\(350\) | −4.33621 | + | 25.1837i | −0.231780 | + | 1.34612i | ||||
\(351\) | 8.89708 | 0.474891 | ||||||||
\(352\) | −0.560852 | + | 0.510358i | −0.0298935 | + | 0.0272022i | ||||
\(353\) | 18.6814i | 0.994310i | 0.867662 | + | 0.497155i | \(0.165622\pi\) | ||||
−0.867662 | + | 0.497155i | \(0.834378\pi\) | |||||||
\(354\) | 24.4915 | − | 33.0504i | 1.30171 | − | 1.75661i | ||||
\(355\) | 13.2541 | − | 21.5316i | 0.703453 | − | 1.14278i | ||||
\(356\) | −7.61929 | + | 2.31789i | −0.403822 | + | 0.122848i | ||||
\(357\) | −12.7697 | − | 12.7697i | −0.675847 | − | 0.675847i | ||||
\(358\) | −2.64969 | − | 17.8141i | −0.140041 | − | 0.941502i | ||||
\(359\) | − | 16.4072i | − | 0.865937i | −0.901409 | − | 0.432968i | \(-0.857466\pi\) | ||
0.901409 | − | 0.432968i | \(-0.142534\pi\) | |||||||
\(360\) | −15.5298 | − | 19.3388i | −0.818494 | − | 1.01925i | ||||
\(361\) | − | 9.63268i | − | 0.506983i | ||||||
\(362\) | −28.0656 | + | 4.17452i | −1.47509 | + | 0.219408i | ||||
\(363\) | 20.4302 | + | 20.4302i | 1.07231 | + | 1.07231i | ||||
\(364\) | 23.3997 | + | 12.4835i | 1.22648 | + | 0.654316i | ||||
\(365\) | 30.8075 | + | 18.9639i | 1.61254 | + | 0.992617i | ||||
\(366\) | −14.6447 | − | 10.8522i | −0.765490 | − | 0.567255i | ||||
\(367\) | − | 3.58049i | − | 0.186900i | −0.995624 | − | 0.0934500i | \(-0.970210\pi\) | ||
0.995624 | − | 0.0934500i | \(-0.0297895\pi\) | |||||||
\(368\) | −16.8858 | + | 11.3216i | −0.880235 | + | 0.590178i | ||||
\(369\) | −33.4299 | −1.74029 | ||||||||
\(370\) | −3.96028 | + | 9.26025i | −0.205885 | + | 0.481417i | ||||
\(371\) | 20.4945 | + | 20.4945i | 1.06402 | + | 1.06402i | ||||
\(372\) | −5.91694 | − | 3.15663i | −0.306779 | − | 0.163664i | ||||
\(373\) | −8.72985 | − | 8.72985i | −0.452015 | − | 0.452015i | 0.444008 | − | 0.896023i | \(-0.353556\pi\) |
−0.896023 | + | 0.444008i | \(0.853556\pi\) | |||||||
\(374\) | 0.0529758 | + | 0.356160i | 0.00273931 | + | 0.0184166i | ||||
\(375\) | 18.9682 | + | 22.4814i | 0.979512 | + | 1.16093i | ||||
\(376\) | −6.76403 | − | 2.41113i | −0.348828 | − | 0.124344i | ||||
\(377\) | −6.53307 | −0.336470 | ||||||||
\(378\) | −1.82319 | − | 12.2575i | −0.0937750 | − | 0.630455i | ||||
\(379\) | 6.11276 | − | 6.11276i | 0.313991 | − | 0.313991i | −0.532462 | − | 0.846454i | \(-0.678733\pi\) |
0.846454 | + | 0.532462i | \(0.178733\pi\) | |||||||
\(380\) | 11.8170 | − | 6.90685i | 0.606200 | − | 0.354314i | ||||
\(381\) | −5.47309 | − | 5.47309i | −0.280395 | − | 0.280395i | ||||
\(382\) | −21.5070 | − | 15.9375i | −1.10039 | − | 0.815431i | ||||
\(383\) | − | 7.31434i | − | 0.373745i | −0.982384 | − | 0.186873i | \(-0.940165\pi\) | ||
0.982384 | − | 0.186873i | \(-0.0598351\pi\) | |||||||
\(384\) | 25.5729 | + | 15.2314i | 1.30501 | + | 0.777273i | ||||
\(385\) | 1.05383 | − | 0.250767i | 0.0537080 | − | 0.0127803i | ||||
\(386\) | 18.0086 | − | 24.3020i | 0.916615 | − | 1.23694i | ||||
\(387\) | −6.33103 | + | 6.33103i | −0.321824 | + | 0.321824i | ||||
\(388\) | 19.7163 | − | 5.99796i | 1.00094 | − | 0.304501i | ||||
\(389\) | −9.74166 | + | 9.74166i | −0.493922 | + | 0.493922i | −0.909539 | − | 0.415618i | \(-0.863565\pi\) |
0.415618 | + | 0.909539i | \(0.363565\pi\) | |||||||
\(390\) | 28.3355 | − | 11.3594i | 1.43482 | − | 0.575205i | ||||
\(391\) | 9.65368i | 0.488207i | ||||||||
\(392\) | 5.75555 | − | 16.1463i | 0.290699 | − | 0.815509i | ||||
\(393\) | 24.3454 | 1.22807 | ||||||||
\(394\) | 1.88124 | + | 12.6477i | 0.0947753 | + | 0.637180i | ||||
\(395\) | 2.16271 | + | 1.33128i | 0.108818 | + | 0.0669841i | ||||
\(396\) | −0.494884 | + | 0.927634i | −0.0248689 | + | 0.0466154i | ||||
\(397\) | −8.04203 | + | 8.04203i | −0.403618 | + | 0.403618i | −0.879506 | − | 0.475888i | \(-0.842127\pi\) |
0.475888 | + | 0.879506i | \(0.342127\pi\) | |||||||
\(398\) | −4.93107 | + | 6.65429i | −0.247172 | + | 0.333549i | ||||
\(399\) | 29.0998 | 1.45681 | ||||||||
\(400\) | −17.4262 | − | 9.81468i | −0.871309 | − | 0.490734i | ||||
\(401\) | −6.77627 | −0.338391 | −0.169195 | − | 0.985583i | \(-0.554117\pi\) | ||||
−0.169195 | + | 0.985583i | \(0.554117\pi\) | |||||||
\(402\) | 19.7319 | − | 26.6275i | 0.984140 | − | 1.32806i | ||||
\(403\) | 3.30691 | − | 3.30691i | 0.164729 | − | 0.164729i | ||||
\(404\) | 3.14176 | + | 1.67610i | 0.156308 | + | 0.0833890i | ||||
\(405\) | 10.2556 | + | 6.31295i | 0.509604 | + | 0.313693i | ||||
\(406\) | 1.33876 | + | 9.00057i | 0.0664415 | + | 0.446691i | ||||
\(407\) | 0.426936 | 0.0211624 | ||||||||
\(408\) | 12.7697 | − | 6.05826i | 0.632197 | − | 0.299928i | ||||
\(409\) | 16.2601i | 0.804010i | 0.915637 | + | 0.402005i | \(0.131687\pi\) | ||||
−0.915637 | + | 0.402005i | \(0.868313\pi\) | |||||||
\(410\) | −25.0211 | + | 10.0307i | −1.23571 | + | 0.495381i | ||||
\(411\) | 3.39534 | − | 3.39534i | 0.167480 | − | 0.167480i | ||||
\(412\) | −6.32470 | − | 20.7903i | −0.311595 | − | 1.02426i | ||||
\(413\) | 28.2531 | − | 28.2531i | 1.39024 | − | 1.39024i | ||||
\(414\) | −16.7824 | + | 22.6472i | −0.824809 | + | 1.11305i | ||||
\(415\) | 11.5515 | − | 2.74877i | 0.567039 | − | 0.134932i | ||||
\(416\) | −15.3522 | + | 13.9700i | −0.752703 | + | 0.684936i | ||||
\(417\) | 19.9773i | 0.978295i | ||||||||
\(418\) | −0.466171 | − | 0.345449i | −0.0228011 | − | 0.0168965i | ||||
\(419\) | −10.1408 | − | 10.1408i | −0.495409 | − | 0.495409i | 0.414596 | − | 0.910005i | \(-0.363923\pi\) |
−0.910005 | + | 0.414596i | \(0.863923\pi\) | |||||||
\(420\) | −21.4563 | − | 36.7098i | −1.04696 | − | 1.79126i | ||||
\(421\) | −13.5849 | + | 13.5849i | −0.662088 | + | 0.662088i | −0.955872 | − | 0.293784i | \(-0.905085\pi\) |
0.293784 | + | 0.955872i | \(0.405085\pi\) | |||||||
\(422\) | 5.66835 | + | 38.1087i | 0.275931 | + | 1.85510i | ||||
\(423\) | −9.95637 | −0.484095 | ||||||||
\(424\) | −20.4945 | + | 9.72307i | −0.995302 | + | 0.472194i | ||||
\(425\) | −8.47908 | + | 4.27756i | −0.411296 | + | 0.207492i | ||||
\(426\) | 6.18958 | + | 41.6129i | 0.299886 | + | 2.01615i | ||||
\(427\) | −12.5190 | − | 12.5190i | −0.605836 | − | 0.605836i | ||||
\(428\) | −12.6232 | + | 23.6616i | −0.610167 | + | 1.14373i | ||||
\(429\) | −0.915049 | − | 0.915049i | −0.0441790 | − | 0.0441790i | ||||
\(430\) | −2.83892 | + | 6.63819i | −0.136905 | + | 0.320122i | ||||
\(431\) | 1.37612 | 0.0662853 | 0.0331427 | − | 0.999451i | \(-0.489448\pi\) | ||||
0.0331427 | + | 0.999451i | \(0.489448\pi\) | |||||||
\(432\) | 9.51545 | + | 1.87704i | 0.457812 | + | 0.0903092i | ||||
\(433\) | 19.9307i | 0.957810i | 0.877867 | + | 0.478905i | \(0.158966\pi\) | ||||
−0.877867 | + | 0.478905i | \(0.841034\pi\) | |||||||
\(434\) | −5.23357 | − | 3.87826i | −0.251219 | − | 0.186162i | ||||
\(435\) | 8.91966 | + | 5.49061i | 0.427665 | + | 0.263255i | ||||
\(436\) | 11.4166 | − | 21.3997i | 0.546754 | − | 1.02486i | ||||
\(437\) | −10.9994 | − | 10.9994i | −0.526175 | − | 0.526175i | ||||
\(438\) | −59.5398 | + | 8.85604i | −2.84492 | + | 0.423158i | ||||
\(439\) | − | 25.4133i | − | 1.21291i | −0.795117 | − | 0.606455i | \(-0.792591\pi\) | ||
0.795117 | − | 0.606455i | \(-0.207409\pi\) | |||||||
\(440\) | −0.0920653 | + | 0.842792i | −0.00438904 | + | 0.0401785i | ||||
\(441\) | − | 23.7666i | − | 1.13174i | ||||||
\(442\) | 1.45010 | + | 9.74915i | 0.0689745 | + | 0.463720i | ||||
\(443\) | −24.7208 | − | 24.7208i | −1.17452 | − | 1.17452i | −0.981120 | − | 0.193402i | \(-0.938048\pi\) |
−0.193402 | − | 0.981120i | \(-0.561952\pi\) | |||||||
\(444\) | −4.87741 | − | 16.0328i | −0.231471 | − | 0.760884i | ||||
\(445\) | −4.66759 | + | 7.58264i | −0.221265 | + | 0.359452i | ||||
\(446\) | 16.9340 | − | 22.8518i | 0.801847 | − | 1.08206i | ||||
\(447\) | − | 16.2933i | − | 0.770646i | ||||||
\(448\) | 22.3924 | + | 18.2879i | 1.05794 | + | 0.864022i | ||||
\(449\) | 5.62743 | 0.265575 | 0.132787 | − | 0.991145i | \(-0.457607\pi\) | ||||
0.132787 | + | 0.991145i | \(0.457607\pi\) | |||||||
\(450\) | −27.3279 | − | 4.70541i | −1.28825 | − | 0.221815i | ||||
\(451\) | 0.808017 | + | 0.808017i | 0.0380481 | + | 0.0380481i | ||||
\(452\) | 23.9725 | − | 7.29278i | 1.12757 | − | 0.343023i | ||||
\(453\) | 24.1117 | + | 24.1117i | 1.13287 | + | 1.13287i | ||||
\(454\) | 8.33687 | − | 1.24004i | 0.391269 | − | 0.0581980i | ||||
\(455\) | 28.8464 | − | 6.86425i | 1.35234 | − | 0.321801i | ||||
\(456\) | −7.64710 | + | 21.4527i | −0.358108 | + | 1.00462i | ||||
\(457\) | −26.6040 | −1.24448 | −0.622241 | − | 0.782825i | \(-0.713778\pi\) | ||||
−0.622241 | + | 0.782825i | \(0.713778\pi\) | |||||||
\(458\) | 35.6684 | − | 5.30538i | 1.66668 | − | 0.247904i | ||||
\(459\) | 3.25656 | − | 3.25656i | 0.152003 | − | 0.152003i | ||||
\(460\) | −5.76569 | + | 21.9862i | −0.268827 | + | 1.02511i | ||||
\(461\) | 11.9468 | + | 11.9468i | 0.556418 | + | 0.556418i | 0.928286 | − | 0.371868i | \(-0.121283\pi\) |
−0.371868 | + | 0.928286i | \(0.621283\pi\) | |||||||
\(462\) | −1.07315 | + | 1.44817i | −0.0499272 | + | 0.0673749i | ||||
\(463\) | 0.530134i | 0.0246374i | 0.999924 | + | 0.0123187i | \(0.00392127\pi\) | ||||
−0.999924 | + | 0.0123187i | \(0.996079\pi\) | |||||||
\(464\) | −6.98713 | − | 1.37830i | −0.324369 | − | 0.0639859i | ||||
\(465\) | −7.29420 | + | 1.73572i | −0.338260 | + | 0.0804920i | ||||
\(466\) | −5.20216 | − | 3.85499i | −0.240985 | − | 0.178579i | ||||
\(467\) | 11.4219 | − | 11.4219i | 0.528542 | − | 0.528542i | −0.391595 | − | 0.920138i | \(-0.628077\pi\) |
0.920138 | + | 0.391595i | \(0.128077\pi\) | |||||||
\(468\) | −13.5465 | + | 25.3921i | −0.626185 | + | 1.17375i | ||||
\(469\) | 22.7625 | − | 22.7625i | 1.05107 | − | 1.05107i | ||||
\(470\) | −7.45200 | + | 2.98743i | −0.343735 | + | 0.137800i | ||||
\(471\) | − | 33.9592i | − | 1.56476i | ||||||
\(472\) | 13.4039 | + | 28.2531i | 0.616965 | + | 1.30045i | ||||
\(473\) | 0.306048 | 0.0140721 | ||||||||
\(474\) | −4.17974 | + | 0.621701i | −0.191982 | + | 0.0285557i | ||||
\(475\) | 4.78724 | − | 14.5350i | 0.219654 | − | 0.666910i | ||||
\(476\) | 13.1342 | − | 3.99560i | 0.602005 | − | 0.183138i | ||||
\(477\) | −22.2395 | + | 22.2395i | −1.01828 | + | 1.01828i | ||||
\(478\) | −20.8050 | − | 15.4173i | −0.951599 | − | 0.705169i | ||||
\(479\) | 6.37434 | 0.291251 | 0.145625 | − | 0.989340i | \(-0.453481\pi\) | ||||
0.145625 | + | 0.989340i | \(0.453481\pi\) | |||||||
\(480\) | 32.7014 | − | 6.17089i | 1.49261 | − | 0.281661i | ||||
\(481\) | 11.6865 | 0.532859 | ||||||||
\(482\) | 10.5829 | + | 7.84228i | 0.482037 | + | 0.357206i | ||||
\(483\) | −34.1700 | + | 34.1700i | −1.55479 | + | 1.55479i | ||||
\(484\) | −21.0132 | + | 6.39251i | −0.955147 | + | 0.290569i | ||||
\(485\) | 12.0782 | − | 19.6214i | 0.548444 | − | 0.890963i | ||||
\(486\) | −29.9956 | + | 4.46159i | −1.36063 | + | 0.202382i | ||||
\(487\) | 31.3203 | 1.41926 | 0.709629 | − | 0.704575i | \(-0.248862\pi\) | ||||
0.709629 | + | 0.704575i | \(0.248862\pi\) | |||||||
\(488\) | 12.5190 | − | 5.93929i | 0.566708 | − | 0.268859i | ||||
\(489\) | 22.8857i | 1.03493i | ||||||||
\(490\) | −7.13122 | − | 17.7885i | −0.322156 | − | 0.803602i | ||||
\(491\) | 14.0893 | − | 14.0893i | 0.635843 | − | 0.635843i | −0.313684 | − | 0.949527i | \(-0.601563\pi\) |
0.949527 | + | 0.313684i | \(0.101563\pi\) | |||||||
\(492\) | 21.1127 | − | 39.5747i | 0.951835 | − | 1.78416i | ||||
\(493\) | −2.39127 | + | 2.39127i | −0.107697 | + | 0.107697i | ||||
\(494\) | −12.7605 | − | 9.45597i | −0.574121 | − | 0.425444i | ||||
\(495\) | 0.272119 | + | 1.14356i | 0.0122308 | + | 0.0513990i | ||||
\(496\) | 4.23442 | − | 2.83908i | 0.190131 | − | 0.127479i | ||||
\(497\) | 40.8639i | 1.83299i | ||||||||
\(498\) | −11.7632 | + | 15.8740i | −0.527122 | + | 0.711332i | ||||
\(499\) | −2.30233 | − | 2.30233i | −0.103067 | − | 0.103067i | 0.653693 | − | 0.756760i | \(-0.273219\pi\) |
−0.756760 | + | 0.653693i | \(0.773219\pi\) | |||||||
\(500\) | −21.8659 | + | 4.67796i | −0.977872 | + | 0.209205i | ||||
\(501\) | 1.32115 | − | 1.32115i | 0.0590248 | − | 0.0590248i | ||||
\(502\) | 28.1218 | − | 4.18288i | 1.25514 | − | 0.186691i | ||||
\(503\) | −14.7556 | −0.657921 | −0.328961 | − | 0.944344i | \(-0.606698\pi\) | ||||
−0.328961 | + | 0.944344i | \(0.606698\pi\) | |||||||
\(504\) | 37.7585 | + | 13.4595i | 1.68190 | + | 0.599534i | ||||
\(505\) | 3.87305 | − | 0.921626i | 0.172348 | − | 0.0410118i | ||||
\(506\) | 0.953032 | − | 0.141756i | 0.0423674 | − | 0.00630180i | ||||
\(507\) | −0.863380 | − | 0.863380i | −0.0383441 | − | 0.0383441i | ||||
\(508\) | 5.62929 | − | 1.71251i | 0.249759 | − | 0.0759802i | ||||
\(509\) | −8.03042 | − | 8.03042i | −0.355942 | − | 0.355942i | 0.506373 | − | 0.862315i | \(-0.330986\pi\) |
−0.862315 | + | 0.506373i | \(0.830986\pi\) | |||||||
\(510\) | 6.21368 | − | 14.5293i | 0.275146 | − | 0.643370i | ||||
\(511\) | −58.4680 | −2.58647 | ||||||||
\(512\) | −19.3665 | + | 11.7021i | −0.855887 | + | 0.517163i | ||||
\(513\) | 7.42107i | 0.327648i | ||||||||
\(514\) | −14.4273 | + | 19.4691i | −0.636361 | + | 0.858746i | ||||
\(515\) | −20.6903 | − | 12.7362i | −0.911723 | − | 0.561223i | ||||
\(516\) | −3.49636 | − | 11.4931i | −0.153919 | − | 0.505956i | ||||
\(517\) | 0.240650 | + | 0.240650i | 0.0105838 | + | 0.0105838i | ||||
\(518\) | −2.39480 | − | 16.1004i | −0.105222 | − | 0.707412i | ||||
\(519\) | 52.7487i | 2.31541i | ||||||||
\(520\) | −2.52010 | + | 23.0697i | −0.110514 | + | 1.01168i | ||||
\(521\) | − | 13.7417i | − | 0.602033i | −0.953619 | − | 0.301017i | \(-0.902674\pi\) | ||
0.953619 | − | 0.301017i | \(-0.0973259\pi\) | |||||||
\(522\) | −9.76692 | + | 1.45275i | −0.427487 | + | 0.0635851i | ||||
\(523\) | 6.77116 | + | 6.77116i | 0.296082 | + | 0.296082i | 0.839477 | − | 0.543395i | \(-0.182861\pi\) |
−0.543395 | + | 0.839477i | \(0.682861\pi\) | |||||||
\(524\) | −8.71133 | + | 16.3289i | −0.380556 | + | 0.713332i | ||||
\(525\) | −45.1532 | − | 14.8717i | −1.97065 | − | 0.649053i | ||||
\(526\) | −5.81294 | − | 4.30759i | −0.253456 | − | 0.187820i | ||||
\(527\) | − | 2.42083i | − | 0.105453i | ||||||
\(528\) | −0.785597 | − | 1.17170i | −0.0341887 | − | 0.0509916i | ||||
\(529\) | 2.83186 | 0.123124 | ||||||||
\(530\) | −9.97250 | + | 23.3185i | −0.433178 | + | 1.01289i | ||||
\(531\) | 30.6587 | + | 30.6587i | 1.33047 | + | 1.33047i | ||||
\(532\) | −10.4125 | + | 19.5178i | −0.451441 | + | 0.846202i | ||||
\(533\) | 22.1179 | + | 22.1179i | 0.958030 | + | 0.958030i | ||||
\(534\) | −2.17974 | − | 14.6545i | −0.0943265 | − | 0.634163i | ||||
\(535\) | 6.94106 | + | 29.1692i | 0.300088 | + | 1.26109i | ||||
\(536\) | 10.7990 | + | 22.7625i | 0.466447 | + | 0.983189i | ||||
\(537\) | 33.5046 | 1.44583 | ||||||||
\(538\) | −5.63499 | − | 37.8844i | −0.242942 | − | 1.63331i | ||||
\(539\) | −0.574451 | + | 0.574451i | −0.0247434 | + | 0.0247434i | ||||
\(540\) | 9.36179 | − | 5.47181i | 0.402867 | − | 0.235469i | ||||
\(541\) | 7.82599 | + | 7.82599i | 0.336465 | + | 0.336465i | 0.855035 | − | 0.518570i | \(-0.173535\pi\) |
−0.518570 | + | 0.855035i | \(0.673535\pi\) | |||||||
\(542\) | −5.36381 | − | 3.97477i | −0.230395 | − | 0.170731i | ||||
\(543\) | − | 52.7855i | − | 2.26524i | ||||||
\(544\) | −0.505913 | + | 10.7327i | −0.0216909 | + | 0.460160i | ||||
\(545\) | −6.27756 | − | 26.3809i | −0.268901 | − | 1.13003i | ||||
\(546\) | −29.3752 | + | 39.6407i | −1.25714 | + | 1.69647i | ||||
\(547\) | 16.1263 | − | 16.1263i | 0.689511 | − | 0.689511i | −0.272613 | − | 0.962124i | \(-0.587888\pi\) |
0.962124 | + | 0.272613i | \(0.0878878\pi\) | |||||||
\(548\) | 1.06239 | + | 3.49224i | 0.0453829 | + | 0.149181i | ||||
\(549\) | 13.5849 | − | 13.5849i | 0.579790 | − | 0.579790i | ||||
\(550\) | 0.546798 | + | 0.774262i | 0.0233155 | + | 0.0330146i | ||||
\(551\) | − | 5.44924i | − | 0.232146i | ||||||
\(552\) | −16.2110 | − | 34.1700i | −0.689987 | − | 1.45437i | ||||
\(553\) | −4.10450 | −0.174541 | ||||||||
\(554\) | −3.79246 | − | 25.4969i | −0.161126 | − | 1.08326i | ||||
\(555\) | −15.9557 | − | 9.82174i | −0.677282 | − | 0.416909i | ||||
\(556\) | −13.3992 | − | 7.14833i | −0.568251 | − | 0.303157i | ||||
\(557\) | 13.7333 | − | 13.7333i | 0.581897 | − | 0.581897i | −0.353527 | − | 0.935424i | \(-0.615018\pi\) |
0.935424 | + | 0.353527i | \(0.115018\pi\) | |||||||
\(558\) | 4.20847 | − | 5.67918i | 0.178159 | − | 0.240419i | ||||
\(559\) | 8.37745 | 0.354328 | ||||||||
\(560\) | 32.2995 | − | 1.25553i | 1.36490 | − | 0.0530559i | ||||
\(561\) | −0.669862 | −0.0282816 | ||||||||
\(562\) | −13.8873 | + | 18.7405i | −0.585802 | + | 0.790519i | ||||
\(563\) | −13.2023 | + | 13.2023i | −0.556412 | + | 0.556412i | −0.928284 | − | 0.371872i | \(-0.878716\pi\) |
0.371872 | + | 0.928284i | \(0.378716\pi\) | |||||||
\(564\) | 6.28796 | − | 11.7864i | 0.264771 | − | 0.496299i | ||||
\(565\) | 14.6856 | − | 23.8572i | 0.617828 | − | 1.00368i | ||||
\(566\) | −2.26502 | − | 15.2279i | −0.0952060 | − | 0.640076i | ||||
\(567\) | −19.4636 | −0.817393 | ||||||||
\(568\) | −30.1253 | − | 10.7386i | −1.26403 | − | 0.450580i | ||||
\(569\) | 7.32481i | 0.307072i | 0.988143 | + | 0.153536i | \(0.0490661\pi\) | ||||
−0.988143 | + | 0.153536i | \(0.950934\pi\) | |||||||
\(570\) | 9.47489 | + | 23.6347i | 0.396860 | + | 0.989947i | ||||
\(571\) | −22.1916 | + | 22.1916i | −0.928688 | + | 0.928688i | −0.997621 | − | 0.0689332i | \(-0.978040\pi\) |
0.0689332 | + | 0.997621i | \(0.478040\pi\) | |||||||
\(572\) | 0.941164 | − | 0.286315i | 0.0393520 | − | 0.0119714i | ||||
\(573\) | 35.2126 | − | 35.2126i | 1.47103 | − | 1.47103i | ||||
\(574\) | 25.9392 | − | 35.0040i | 1.08268 | − | 1.46104i | ||||
\(575\) | 11.4461 | + | 22.6888i | 0.477337 | + | 0.946189i | ||||
\(576\) | −19.8450 | + | 24.2990i | −0.826876 | + | 1.01246i | ||||
\(577\) | − | 9.39473i | − | 0.391108i | −0.980693 | − | 0.195554i | \(-0.937350\pi\) | ||
0.980693 | − | 0.195554i | \(-0.0626504\pi\) | |||||||
\(578\) | −15.2169 | − | 11.2763i | −0.632939 | − | 0.469030i | ||||
\(579\) | 39.7887 | + | 39.7887i | 1.65356 | + | 1.65356i | ||||
\(580\) | −6.87430 | + | 4.01791i | −0.285440 | + | 0.166835i | ||||
\(581\) | −13.5699 | + | 13.5699i | −0.562973 | + | 0.562973i | ||||
\(582\) | 5.64046 | + | 37.9212i | 0.233805 | + | 1.57188i | ||||
\(583\) | 1.07508 | 0.0445253 | ||||||||
\(584\) | 15.3647 | − | 43.1033i | 0.635797 | − | 1.78363i | ||||
\(585\) | 7.44871 | + | 31.3025i | 0.307966 | + | 1.29420i | ||||
\(586\) | −1.69350 | − | 11.3855i | −0.0699578 | − | 0.470331i | ||||
\(587\) | 10.7246 | + | 10.7246i | 0.442650 | + | 0.442650i | 0.892902 | − | 0.450252i | \(-0.148666\pi\) |
−0.450252 | + | 0.892902i | \(0.648666\pi\) | |||||||
\(588\) | 28.1352 | + | 15.0099i | 1.16027 | + | 0.618996i | ||||
\(589\) | 2.75830 | + | 2.75830i | 0.113654 | + | 0.113654i | ||||
\(590\) | 32.1462 | + | 13.7478i | 1.32344 | + | 0.565987i | ||||
\(591\) | −23.7876 | −0.978493 | ||||||||
\(592\) | 12.4987 | + | 2.46553i | 0.513695 | + | 0.101333i | ||||
\(593\) | − | 38.2253i | − | 1.56973i | −0.619670 | − | 0.784863i | \(-0.712733\pi\) | ||
0.619670 | − | 0.784863i | \(-0.287267\pi\) | |||||||
\(594\) | −0.369314 | − | 0.273675i | −0.0151531 | − | 0.0112290i | ||||
\(595\) | 8.04603 | − | 13.0710i | 0.329855 | − | 0.535859i | ||||
\(596\) | 10.9282 | + | 5.83010i | 0.447637 | + | 0.238810i | ||||
\(597\) | −10.8948 | − | 10.8948i | −0.445896 | − | 0.445896i | ||||
\(598\) | 26.0873 | − | 3.88027i | 1.06679 | − | 0.158676i | ||||
\(599\) | − | 41.5801i | − | 1.69892i | −0.527656 | − | 0.849458i | \(-0.676929\pi\) | ||
0.527656 | − | 0.849458i | \(-0.323071\pi\) | |||||||
\(600\) | 22.8293 | − | 29.3794i | 0.932003 | − | 1.19941i | ||||
\(601\) | 23.1081i | 0.942599i | 0.881973 | + | 0.471299i | \(0.156215\pi\) | ||||
−0.881973 | + | 0.471299i | \(0.843785\pi\) | |||||||
\(602\) | −1.71671 | − | 11.5416i | −0.0699679 | − | 0.470399i | ||||
\(603\) | 24.7006 | + | 24.7006i | 1.00589 | + | 1.00589i | ||||
\(604\) | −24.7999 | + | 7.54447i | −1.00909 | + | 0.306980i | ||||
\(605\) | −12.8727 | + | 20.9121i | −0.523351 | + | 0.850199i | ||||
\(606\) | −3.94405 | + | 5.32235i | −0.160216 | + | 0.216206i | ||||
\(607\) | 15.1150i | 0.613500i | 0.951790 | + | 0.306750i | \(0.0992415\pi\) | ||||
−0.951790 | + | 0.306750i | \(0.900759\pi\) | |||||||
\(608\) | −11.6524 | − | 12.8053i | −0.472568 | − | 0.519323i | ||||
\(609\) | −16.9282 | −0.685965 | ||||||||
\(610\) | 6.09165 | − | 14.2440i | 0.246644 | − | 0.576723i | ||||
\(611\) | 6.58732 | + | 6.58732i | 0.266494 | + | 0.266494i | ||||
\(612\) | 4.33581 | + | 14.2525i | 0.175265 | + | 0.576123i | ||||
\(613\) | 1.18710 | + | 1.18710i | 0.0479466 | + | 0.0479466i | 0.730674 | − | 0.682727i | \(-0.239206\pi\) |
−0.682727 | + | 0.730674i | \(0.739206\pi\) | |||||||
\(614\) | 19.0019 | − | 2.82637i | 0.766854 | − | 0.114063i | ||||
\(615\) | −11.6091 | − | 48.7863i | −0.468125 | − | 1.96725i | ||||
\(616\) | −0.587318 | − | 1.23796i | −0.0236637 | − | 0.0498790i | ||||
\(617\) | −5.23711 | −0.210838 | −0.105419 | − | 0.994428i | \(-0.533618\pi\) | ||||
−0.105419 | + | 0.994428i | \(0.533618\pi\) | |||||||
\(618\) | 39.9869 | − | 5.94772i | 1.60851 | − | 0.239252i | ||||
\(619\) | −6.52847 | + | 6.52847i | −0.262401 | + | 0.262401i | −0.826029 | − | 0.563628i | \(-0.809405\pi\) |
0.563628 | + | 0.826029i | \(0.309405\pi\) | |||||||
\(620\) | 1.44585 | − | 5.51343i | 0.0580666 | − | 0.221425i | ||||
\(621\) | −8.71408 | − | 8.71408i | −0.349684 | − | 0.349684i | ||||
\(622\) | 17.1275 | − | 23.1129i | 0.686748 | − | 0.926741i | ||||
\(623\) | − | 14.3907i | − | 0.576553i | ||||||
\(624\) | −21.5041 | − | 32.0729i | −0.860854 | − | 1.28394i | ||||
\(625\) | −14.8564 | + | 20.1069i | −0.594256 | + | 0.804276i | ||||
\(626\) | 29.1348 | + | 21.5899i | 1.16446 | + | 0.862907i | ||||
\(627\) | 0.763244 | − | 0.763244i | 0.0304810 | − | 0.0304810i | ||||
\(628\) | 22.7771 | + | 12.1514i | 0.908904 | + | 0.484892i | ||||
\(629\) | 4.27756 | − | 4.27756i | 0.170557 | − | 0.170557i | ||||
\(630\) | 41.5989 | − | 16.6766i | 1.65734 | − | 0.664411i | ||||
\(631\) | − | 21.7193i | − | 0.864633i | −0.901722 | − | 0.432316i | \(-0.857696\pi\) | ||
0.901722 | − | 0.432316i | \(-0.142304\pi\) | |||||||
\(632\) | 1.07862 | − | 3.02588i | 0.0429050 | − | 0.120363i | ||||
\(633\) | −71.6746 | −2.84881 | ||||||||
\(634\) | 1.87140 | − | 0.278355i | 0.0743227 | − | 0.0110549i | ||||
\(635\) | 3.44851 | − | 5.60221i | 0.136850 | − | 0.222317i | ||||
\(636\) | −12.2820 | − | 40.3728i | −0.487011 | − | 1.60088i | ||||
\(637\) | −15.7244 | + | 15.7244i | −0.623025 | + | 0.623025i | ||||
\(638\) | 0.271185 | + | 0.200958i | 0.0107363 | + | 0.00795599i | ||||
\(639\) | −44.3432 | −1.75419 | ||||||||
\(640\) | −7.56234 | + | 24.1415i | −0.298928 | + | 0.954276i | ||||
\(641\) | −45.3927 | −1.79291 | −0.896453 | − | 0.443139i | \(-0.853865\pi\) | ||||
−0.896453 | + | 0.443139i | \(0.853865\pi\) | |||||||
\(642\) | −40.0843 | − | 29.7039i | −1.58200 | − | 1.17232i | ||||
\(643\) | 20.5408 | − | 20.5408i | 0.810049 | − | 0.810049i | −0.174592 | − | 0.984641i | \(-0.555861\pi\) |
0.984641 | + | 0.174592i | \(0.0558607\pi\) | |||||||
\(644\) | −10.6917 | − | 35.1452i | −0.421310 | − | 1.38492i | ||||
\(645\) | −11.4378 | − | 7.04069i | −0.450363 | − | 0.277227i | ||||
\(646\) | −8.13178 | + | 1.20954i | −0.319941 | + | 0.0475885i | ||||
\(647\) | −31.7472 | −1.24811 | −0.624056 | − | 0.781379i | \(-0.714516\pi\) | ||||
−0.624056 | + | 0.781379i | \(0.714516\pi\) | |||||||
\(648\) | 5.11481 | − | 14.3488i | 0.200929 | − | 0.563673i | ||||
\(649\) | − | 1.48207i | − | 0.0581764i | ||||||
\(650\) | 14.9675 | + | 21.1939i | 0.587073 | + | 0.831291i | ||||
\(651\) | 8.56873 | − | 8.56873i | 0.335835 | − | 0.335835i | ||||
\(652\) | −15.3498 | − | 8.18900i | −0.601146 | − | 0.320706i | ||||
\(653\) | −4.30078 | + | 4.30078i | −0.168302 | + | 0.168302i | −0.786233 | − | 0.617930i | \(-0.787971\pi\) |
0.617930 | + | 0.786233i | \(0.287971\pi\) | |||||||
\(654\) | 36.2526 | + | 26.8645i | 1.41759 | + | 1.05048i | ||||
\(655\) | 4.79005 | + | 20.1297i | 0.187163 | + | 0.786534i | ||||
\(656\) | 18.9888 | + | 28.3214i | 0.741389 | + | 1.10576i | ||||
\(657\) | − | 63.4463i | − | 2.47527i | ||||||
\(658\) | 7.72543 | − | 10.4252i | 0.301169 | − | 0.406416i | ||||
\(659\) | −18.2156 | − | 18.2156i | −0.709579 | − | 0.709579i | 0.256868 | − | 0.966447i | \(-0.417310\pi\) |
−0.966447 | + | 0.256868i | \(0.917310\pi\) | |||||||
\(660\) | −1.52561 | − | 0.400077i | −0.0593843 | − | 0.0155730i | ||||
\(661\) | −19.7679 | + | 19.7679i | −0.768883 | + | 0.768883i | −0.977910 | − | 0.209027i | \(-0.932970\pi\) |
0.209027 | + | 0.977910i | \(0.432970\pi\) | |||||||
\(662\) | −12.1942 | + | 1.81379i | −0.473941 | + | 0.0704948i | ||||
\(663\) | −18.3361 | −0.712116 | ||||||||
\(664\) | −6.43785 | − | 13.5699i | −0.249837 | − | 0.526613i | ||||
\(665\) | 5.72549 | + | 24.0608i | 0.222025 | + | 0.933039i | ||||
\(666\) | 17.4713 | − | 2.59871i | 0.676999 | − | 0.100698i | ||||
\(667\) | 6.39869 | + | 6.39869i | 0.247758 | + | 0.247758i | ||||
\(668\) | 0.413383 | + | 1.35886i | 0.0159943 | + | 0.0525758i | ||||
\(669\) | 37.4144 | + | 37.4144i | 1.44652 | + | 1.44652i | ||||
\(670\) | 25.8990 | + | 11.0761i | 1.00056 | + | 0.427906i | ||||
\(671\) | −0.656708 | −0.0253519 | ||||||||
\(672\) | −39.7799 | + | 36.1985i | −1.53454 | + | 1.39639i | ||||
\(673\) | − | 8.43246i | − | 0.325047i | −0.986705 | − | 0.162524i | \(-0.948037\pi\) | ||
0.986705 | − | 0.162524i | \(-0.0519634\pi\) | |||||||
\(674\) | −23.7723 | + | 32.0798i | −0.915675 | + | 1.23567i | ||||
\(675\) | 3.79259 | − | 11.5150i | 0.145977 | − | 0.443214i | ||||
\(676\) | 0.888021 | − | 0.270148i | 0.0341547 | − | 0.0103903i | ||||
\(677\) | 20.8693 | + | 20.8693i | 0.802073 | + | 0.802073i | 0.983419 | − | 0.181346i | \(-0.0580455\pi\) |
−0.181346 | + | 0.983419i | \(0.558046\pi\) | |||||||
\(678\) | 6.85810 | + | 46.1075i | 0.263384 | + | 1.77075i | ||||
\(679\) | 37.2386i | 1.42909i | ||||||||
\(680\) | 7.52169 | + | 9.36653i | 0.288444 | + | 0.359190i | ||||
\(681\) | 15.6799i | 0.600856i | ||||||||
\(682\) | −0.238989 | + | 0.0355477i | −0.00915137 | + | 0.00136119i | ||||
\(683\) | 16.4398 | + | 16.4398i | 0.629051 | + | 0.629051i | 0.947829 | − | 0.318778i | \(-0.103272\pi\) |
−0.318778 | + | 0.947829i | \(0.603272\pi\) | |||||||
\(684\) | −21.1796 | − | 11.2991i | −0.809822 | − | 0.432033i | ||||
\(685\) | 3.47544 | + | 2.13935i | 0.132790 | + | 0.0817404i | ||||
\(686\) | −3.85824 | − | 2.85910i | −0.147308 | − | 0.109161i | ||||
\(687\) | 67.0849i | 2.55945i | ||||||||
\(688\) | 8.95970 | + | 1.76741i | 0.341585 | + | 0.0673820i | ||||
\(689\) | 29.4282 | 1.12112 | ||||||||
\(690\) | −38.8784 | − | 16.6269i | −1.48008 | − | 0.632976i | ||||
\(691\) | 17.4076 | + | 17.4076i | 0.662216 | + | 0.662216i | 0.955902 | − | 0.293686i | \(-0.0948821\pi\) |
−0.293686 | + | 0.955902i | \(0.594882\pi\) | |||||||
\(692\) | −35.3795 | − | 18.8746i | −1.34493 | − | 0.717506i | ||||
\(693\) | −1.34337 | − | 1.34337i | −0.0510304 | − | 0.0510304i | ||||
\(694\) | 3.84131 | + | 25.8254i | 0.145814 | + | 0.980318i | ||||
\(695\) | −16.5180 | + | 3.93061i | −0.626565 | + | 0.149097i | ||||
\(696\) | 4.44854 | − | 12.4797i | 0.168621 | − | 0.473040i | ||||
\(697\) | 16.1914 | 0.613293 | ||||||||
\(698\) | 5.97554 | + | 40.1740i | 0.226178 | + | 1.52061i | ||||
\(699\) | 8.51731 | − | 8.51731i | 0.322154 | − | 0.322154i | ||||
\(700\) | 26.1315 | − | 24.9637i | 0.987678 | − | 0.943538i | ||||
\(701\) | −25.3888 | − | 25.3888i | −0.958920 | − | 0.958920i | 0.0402687 | − | 0.999189i | \(-0.487179\pi\) |
−0.999189 | + | 0.0402687i | \(0.987179\pi\) | |||||||
\(702\) | −10.1092 | − | 7.49130i | −0.381548 | − | 0.282741i | ||||
\(703\) | 9.74773i | 0.367643i | ||||||||
\(704\) | 1.06698 | − | 0.107655i | 0.0402134 | − | 0.00405739i | ||||
\(705\) | −3.45752 | − | 14.5299i | −0.130218 | − | 0.547229i | ||||
\(706\) | 15.7296 | − | 21.2266i | 0.591993 | − | 0.798873i | ||||
\(707\) | −4.54979 | + | 4.54979i | −0.171113 | + | 0.171113i | ||||
\(708\) | −55.6566 | + | 16.9315i | −2.09170 | + | 0.636325i | ||||
\(709\) | 17.6201 | − | 17.6201i | 0.661738 | − | 0.661738i | −0.294051 | − | 0.955790i | \(-0.595004\pi\) |
0.955790 | + | 0.294051i | \(0.0950036\pi\) | |||||||
\(710\) | −33.1893 | + | 13.3053i | −1.24557 | + | 0.499338i | ||||
\(711\) | − | 4.45398i | − | 0.167037i | ||||||
\(712\) | 10.6090 | + | 3.78172i | 0.397590 | + | 0.141726i | ||||
\(713\) | −6.47779 | −0.242595 | ||||||||
\(714\) | 3.75745 | + | 25.2616i | 0.140619 | + | 0.945391i | ||||
\(715\) | 0.576559 | − | 0.936636i | 0.0215621 | − | 0.0350282i | ||||
\(716\) | −11.9887 | + | 22.4721i | −0.448037 | + | 0.839822i | ||||
\(717\) | 34.0633 | − | 34.0633i | 1.27212 | − | 1.27212i | ||||
\(718\) | −13.8148 | + | 18.6425i | −0.515562 | + | 0.695732i | ||||
\(719\) | −42.6068 | −1.58896 | −0.794482 | − | 0.607287i | \(-0.792258\pi\) | ||||
−0.794482 | + | 0.607287i | \(0.792258\pi\) | |||||||
\(720\) | 1.36243 | + | 35.0496i | 0.0507750 | + | 1.30622i | ||||
\(721\) | 39.2671 | 1.46238 | ||||||||
\(722\) | −8.11067 | + | 10.9450i | −0.301848 | + | 0.407332i | ||||
\(723\) | −17.3269 | + | 17.3269i | −0.644396 | + | 0.644396i | ||||
\(724\) | 35.4042 | + | 18.8878i | 1.31579 | + | 0.701960i | ||||
\(725\) | −2.78488 | + | 8.45542i | −0.103428 | + | 0.314026i | ||||
\(726\) | −6.01150 | − | 40.4157i | −0.223108 | − | 1.49997i | ||||
\(727\) | 50.5830 | 1.87602 | 0.938010 | − | 0.346609i | \(-0.112667\pi\) | ||||
0.938010 | + | 0.346609i | \(0.112667\pi\) | |||||||
\(728\) | −16.0767 | − | 33.8868i | −0.595841 | − | 1.25593i | ||||
\(729\) | − | 40.2583i | − | 1.49105i | ||||||
\(730\) | −19.0372 | − | 47.4873i | −0.704597 | − | 1.75758i | ||||
\(731\) | 3.06636 | − | 3.06636i | 0.113413 | − | 0.113413i | ||||
\(732\) | 7.50237 | + | 24.6615i | 0.277296 | + | 0.911516i | ||||
\(733\) | −6.17299 | + | 6.17299i | −0.228005 | + | 0.228005i | −0.811859 | − | 0.583854i | \(-0.801544\pi\) |
0.583854 | + | 0.811859i | \(0.301544\pi\) | |||||||
\(734\) | −3.01475 | + | 4.06830i | −0.111277 | + | 0.150164i | ||||
\(735\) | 34.6841 | − | 8.25338i | 1.27934 | − | 0.304431i | ||||
\(736\) | 28.7191 | + | 1.35375i | 1.05860 | + | 0.0499000i | ||||
\(737\) | − | 1.19405i | − | 0.0439834i | ||||||
\(738\) | 37.9845 | + | 28.1478i | 1.39823 | + | 1.03614i | ||||
\(739\) | 22.8974 | + | 22.8974i | 0.842293 | + | 0.842293i | 0.989157 | − | 0.146864i | \(-0.0469178\pi\) |
−0.146864 | + | 0.989157i | \(0.546918\pi\) | |||||||
\(740\) | 12.2969 | − | 7.18734i | 0.452043 | − | 0.264212i | ||||
\(741\) | 20.8923 | − | 20.8923i | 0.767497 | − | 0.767497i | ||||
\(742\) | −6.03043 | − | 40.5430i | −0.221384 | − | 1.48838i | ||||
\(743\) | 11.8975 | 0.436478 | 0.218239 | − | 0.975895i | \(-0.429969\pi\) | ||||
0.218239 | + | 0.975895i | \(0.429969\pi\) | |||||||
\(744\) | 4.06520 | + | 8.56873i | 0.149037 | + | 0.314145i | ||||
\(745\) | 13.4719 | − | 3.20576i | 0.493573 | − | 0.117450i | ||||
\(746\) | 2.56873 | + | 17.2697i | 0.0940477 | + | 0.632289i | ||||
\(747\) | −14.7253 | − | 14.7253i | −0.538770 | − | 0.538770i | ||||
\(748\) | 0.239691 | − | 0.449288i | 0.00876398 | − | 0.0164276i | ||||
\(749\) | −34.2660 | − | 34.2660i | −1.25205 | − | 1.25205i | ||||
\(750\) | −2.62321 | − | 41.5154i | −0.0957862 | − | 1.51593i | ||||
\(751\) | 23.4102 | 0.854250 | 0.427125 | − | 0.904193i | \(-0.359526\pi\) | ||||
0.427125 | + | 0.904193i | \(0.359526\pi\) | |||||||
\(752\) | 5.65541 | + | 8.43490i | 0.206232 | + | 0.307589i | ||||
\(753\) | 52.8913i | 1.92747i | ||||||||
\(754\) | 7.42314 | + | 5.50081i | 0.270335 | + | 0.200328i | ||||
\(755\) | −15.1924 | + | 24.6806i | −0.552910 | + | 0.898218i | ||||
\(756\) | −8.24913 | + | 15.4625i | −0.300018 | + | 0.562367i | ||||
\(757\) | 11.3218 | + | 11.3218i | 0.411496 | + | 0.411496i | 0.882260 | − | 0.470763i | \(-0.156021\pi\) |
−0.470763 | + | 0.882260i | \(0.656021\pi\) | |||||||
\(758\) | −12.0925 | + | 1.79866i | −0.439219 | + | 0.0653301i | ||||
\(759\) | 1.79246i | 0.0650620i | ||||||||
\(760\) | −19.2425 | − | 2.10202i | −0.697999 | − | 0.0762484i | ||||
\(761\) | 8.53590i | 0.309426i | 0.987959 | + | 0.154713i | \(0.0494453\pi\) | ||||
−0.987959 | + | 0.154713i | \(0.950555\pi\) | |||||||
\(762\) | 1.61043 | + | 10.8271i | 0.0583399 | + | 0.392223i | ||||
\(763\) | 30.9904 | + | 30.9904i | 1.12193 | + | 1.12193i | ||||
\(764\) | 11.0179 | + | 36.2176i | 0.398613 | + | 1.31031i | ||||
\(765\) | 14.1839 | + | 8.73111i | 0.512821 | + | 0.315674i | ||||
\(766\) | −6.15864 | + | 8.31085i | −0.222521 | + | 0.300283i | ||||
\(767\) | − | 40.5687i | − | 1.46485i | ||||||
\(768\) | −16.2322 | − | 38.8388i | −0.585730 | − | 1.40147i | ||||