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 | 69.2 | ||
Root | \(-0.841995 + 1.13624i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 80.69 |
Dual form | 80.2.q.c.29.2 |
$q$-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 \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
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 | 0.997029 | + | 0.0770310i | \(0.0245441\pi\) |
0.0770310 | + | 0.997029i | \(0.475456\pi\) | |||||||
\(4\) | 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 | 0.692673 | − | 0.721252i | \(-0.256433\pi\) |
−0.721252 | + | 0.692673i | \(0.756433\pi\) | |||||||
\(12\) | 4.64246 | − | 2.47671i | 1.34016 | − | 0.714964i | ||||
\(13\) | −2.59462 | − | 2.59462i | −0.719618 | − | 0.719618i | 0.248909 | − | 0.968527i | \(-0.419928\pi\) |
−0.968527 | + | 0.248909i | \(0.919928\pi\) | |||||||
\(14\) | 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 | \(-0.926018\pi\) | ||
0.973111 | − | 0.230335i | \(-0.0739823\pi\) | |||||||
\(18\) | −3.30199 | − | 4.45591i | −0.778286 | − | 1.05027i | ||||
\(19\) | −2.16418 | + | 2.16418i | −0.496496 | + | 0.496496i | −0.910345 | − | 0.413849i | \(-0.864184\pi\) |
0.413849 | + | 0.910345i | \(0.364184\pi\) | |||||||
\(20\) | −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 | −0.580486 | − | 0.814270i | \(-0.697137\pi\) |
0.814270 | + | 0.580486i | \(0.197137\pi\) | |||||||
\(30\) | −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 | −0.867564 | − | 0.497326i | \(-0.834315\pi\) |
0.497326 | + | 0.867564i | \(0.334315\pi\) | |||||||
\(38\) | 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 | \(0.231847\pi\) | ||||
−0.746262 | + | 0.665652i | \(0.768153\pi\) | |||||||
\(42\) | 13.2998 | + | 1.97824i | 2.05221 | + | 0.305249i | ||||
\(43\) | −1.61439 | + | 1.61439i | −0.246192 | + | 0.246192i | −0.819406 | − | 0.573214i | \(-0.805696\pi\) |
0.573214 | + | 0.819406i | \(0.305696\pi\) | |||||||
\(44\) | −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 | \(0.0592816\pi\) | ||||
−0.982708 | + | 0.185164i | \(0.940718\pi\) | |||||||
\(48\) | −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 | −0.979656 | − | 0.200684i | \(-0.935683\pi\) |
0.200684 | + | 0.979656i | \(0.435683\pi\) | |||||||
\(54\) | 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 | −0.999839 | − | 0.0179591i | \(-0.994283\pi\) |
−0.0179591 | − | 0.999839i | \(-0.505717\pi\) | |||||||
\(60\) | 5.93713 | − | 10.1579i | 0.766480 | − | 1.31138i | ||||
\(61\) | 3.46410 | − | 3.46410i | 0.443533 | − | 0.443533i | −0.449665 | − | 0.893197i | \(-0.648457\pi\) |
0.893197 | + | 0.449665i | \(0.148457\pi\) | |||||||
\(62\) | 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 | 0.208526 | − | 0.978017i | \(-0.433134\pi\) |
−0.978017 | + | 0.208526i | \(0.933134\pi\) | |||||||
\(68\) | −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 | \(0.234121\pi\) | ||||
−0.741486 | + | 0.670968i | \(0.765879\pi\) | |||||||
\(72\) | −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 | 0.882488 | − | 0.470335i | \(-0.155867\pi\) |
−0.470335 | + | 0.882488i | \(0.655867\pi\) | |||||||
\(84\) | −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 | \(-0.932313\pi\) | ||
0.977476 | − | 0.211047i | \(-0.0676874\pi\) | |||||||
\(90\) | −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 | \(0.175231\pi\) | ||||
−0.852261 | + | 0.523117i | \(0.824769\pi\) | |||||||
\(98\) | −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 | 0.766963 | − | 0.641691i | \(-0.221767\pi\) |
−0.641691 | + | 0.766963i | \(0.721767\pi\) | |||||||
\(102\) | −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 | −0.0801549 | − | 0.996782i | \(-0.525541\pi\) |
0.996782 | + | 0.0801549i | \(0.0255415\pi\) | |||||||
\(108\) | 2.28260 | + | 4.27861i | 0.219643 | + | 0.411709i | ||||
\(109\) | −8.57530 | + | 8.57530i | −0.821365 | + | 0.821365i | −0.986304 | − | 0.164939i | \(-0.947257\pi\) |
0.164939 | + | 0.986304i | \(0.447257\pi\) | |||||||
\(110\) | 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 | \(0.200595\pi\) | ||||
−0.807916 | + | 0.589298i | \(0.799405\pi\) | |||||||
\(114\) | 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 | \(0.0416680\pi\) | ||||
−0.991444 | + | 0.130530i | \(0.958332\pi\) | |||||||
\(128\) | 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 | −0.360908 | − | 0.932601i | \(-0.617533\pi\) |
0.932601 | + | 0.360908i | \(0.117533\pi\) | |||||||
\(132\) | −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 | 0.441729 | − | 0.897148i | \(-0.354365\pi\) |
−0.897148 | + | 0.441729i | \(0.854365\pi\) | |||||||
\(140\) | 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 | 0.863354 | − | 0.504600i | \(-0.168360\pi\) |
−0.504600 | + | 0.863354i | \(0.668360\pi\) | |||||||
\(150\) | −10.7316 | + | 15.1959i | −0.876231 | + | 1.24074i | ||||
\(151\) | − | 12.9610i | − | 1.05475i | −0.849631 | − | 0.527377i | \(-0.823176\pi\) | ||
0.849631 | − | 0.527377i | \(-0.176824\pi\) | |||||||
\(152\) | −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 | 0.970307 | − | 0.241875i | \(-0.0777624\pi\) |
−0.241875 | + | 0.970307i | \(0.577762\pi\) | |||||||
\(158\) | −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 | 0.423918 | − | 0.905701i | \(-0.360654\pi\) |
−0.905701 | + | 0.423918i | \(0.860654\pi\) | |||||||
\(164\) | 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 | −0.996700 | − | 0.0811779i | \(-0.974132\pi\) |
−0.0811779 | − | 0.996700i | \(-0.525868\pi\) | |||||||
\(174\) | −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 | −0.285355 | − | 0.958422i | \(-0.592111\pi\) |
0.958422 | + | 0.285355i | \(0.0921115\pi\) | |||||||
\(180\) | 16.9644 | − | 4.44877i | 1.26445 | − | 0.331592i | ||||
\(181\) | 14.1872 | + | 14.1872i | 1.05452 | + | 1.05452i | 0.998425 | + | 0.0560986i | \(0.0178661\pi\) |
0.0560986 | + | 0.998425i | \(0.482134\pi\) | |||||||
\(182\) | −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 | \(-0.720370\pi\) | ||
0.638319 | − | 0.769772i | \(-0.279630\pi\) | |||||||
\(194\) | −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 | −0.897179 | − | 0.441667i | \(-0.854387\pi\) |
0.441667 | + | 0.897179i | \(0.354387\pi\) | |||||||
\(198\) | −0.109378 | + | 0.735353i | −0.00777313 | + | 0.0522593i | ||||
\(199\) | 5.85641i | 0.415150i | 0.978219 | + | 0.207575i | \(0.0665570\pi\) | ||||
−0.978219 | + | 0.207575i | \(0.933443\pi\) | |||||||
\(200\) | 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 | −0.417520 | + | 0.908668i | \(0.637100\pi\) |
−0.908668 | + | 0.417520i | \(0.862900\pi\) | |||||||
\(212\) | 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 | \(-0.764837\pi\) | ||
0.739287 | − | 0.673390i | \(-0.235163\pi\) | |||||||
\(224\) | −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 | 0.553282 | − | 0.832994i | \(-0.313375\pi\) |
−0.832994 | + | 0.553282i | \(0.813375\pi\) | |||||||
\(228\) | −4.68706 | + | 15.4071i | −0.310408 | + | 1.02036i | ||||
\(229\) | −18.0304 | − | 18.0304i | −1.19148 | − | 1.19148i | −0.976651 | − | 0.214833i | \(-0.931079\pi\) |
−0.214833 | − | 0.976651i | \(-0.568921\pi\) | |||||||
\(230\) | −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 | 0.0979143 | − | 0.995195i | \(-0.468783\pi\) |
−0.995195 | + | 0.0979143i | \(0.968783\pi\) | |||||||
\(252\) | −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 | \(0.179468\pi\) | ||||
−0.845222 | + | 0.534416i | \(0.820532\pi\) | |||||||
\(258\) | 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 | 0.184870 | − | 0.982763i | \(-0.440814\pi\) |
0.982763 | − | 0.184870i | \(-0.0591864\pi\) | |||||||
\(270\) | −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 | −0.204466 | − | 0.978874i | \(-0.565546\pi\) |
0.978874 | + | 0.204466i | \(0.0655457\pi\) | |||||||
\(278\) | 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 | \(0.163718\pi\) | ||||
−0.870620 | + | 0.491956i | \(0.836282\pi\) | |||||||
\(282\) | 1.38974 | − | 9.34334i | 0.0827581 | − | 0.556388i | ||||
\(283\) | 7.69771 | − | 7.69771i | 0.457581 | − | 0.457581i | −0.440279 | − | 0.897861i | \(-0.645121\pi\) |
0.897861 | + | 0.440279i | \(0.145121\pi\) | |||||||
\(284\) | 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 | −0.518715 | − | 0.854947i | \(-0.673589\pi\) |
0.854947 | + | 0.518715i | \(0.173589\pi\) | |||||||
\(294\) | −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 | 0.377711 | − | 0.925924i | \(-0.376711\pi\) |
−0.925924 | + | 0.377711i | \(0.876711\pi\) | |||||||
\(308\) | 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 | \(-0.804328\pi\) | ||
0.816934 | − | 0.576731i | \(-0.195672\pi\) | |||||||
\(312\) | 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 | 0.680041 | − | 0.733174i | \(-0.261962\pi\) |
−0.733174 | + | 0.680041i | \(0.761962\pi\) | |||||||
\(318\) | 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 | 0.855921 | − | 0.517107i | \(-0.172991\pi\) |
−0.517107 | + | 0.855921i | \(0.672991\pi\) | |||||||
\(332\) | 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 | \(0.279237\pi\) | ||||
−0.639269 | + | 0.768983i | \(0.720763\pi\) | |||||||
\(338\) | −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 | −0.964586 | − | 0.263770i | \(-0.915034\pi\) |
0.263770 | + | 0.964586i | \(0.415034\pi\) | |||||||
\(348\) | 2.72660 | − | 8.96278i | 0.146161 | − | 0.480455i | ||||
\(349\) | −20.3080 | + | 20.3080i | −1.08706 | + | 1.08706i | −0.0912314 | + | 0.995830i | \(0.529080\pi\) |
−0.995830 | + | 0.0912314i | \(0.970920\pi\) | |||||||
\(350\) | −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 | \(-0.834378\pi\) | ||
0.867662 | − | 0.497155i | \(-0.165622\pi\) | |||||||
\(354\) | 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 | \(0.142534\pi\) | ||||
−0.901409 | + | 0.432968i | \(0.857466\pi\) | |||||||
\(360\) | −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 | \(0.0297895\pi\) | ||||
−0.995624 | + | 0.0934500i | \(0.970210\pi\) | |||||||
\(368\) | −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 | −0.896023 | − | 0.444008i | \(-0.853556\pi\) |
0.444008 | + | 0.896023i | \(0.353556\pi\) | |||||||
\(374\) | 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 | 0.846454 | − | 0.532462i | \(-0.178733\pi\) |
−0.532462 | + | 0.846454i | \(0.678733\pi\) | |||||||
\(380\) | 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 | \(0.0598351\pi\) | ||||
−0.982384 | + | 0.186873i | \(0.940165\pi\) | |||||||
\(384\) | 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 | 0.415618 | − | 0.909539i | \(-0.363565\pi\) |
−0.909539 | + | 0.415618i | \(0.863565\pi\) | |||||||
\(390\) | 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 | 0.475888 | − | 0.879506i | \(-0.342127\pi\) |
−0.879506 | + | 0.475888i | \(0.842127\pi\) | |||||||
\(398\) | −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 | \(-0.868313\pi\) | ||
0.915637 | − | 0.402005i | \(-0.131687\pi\) | |||||||
\(410\) | −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 | −0.910005 | − | 0.414596i | \(-0.863923\pi\) |
0.414596 | + | 0.910005i | \(0.363923\pi\) | |||||||
\(420\) | −21.4563 | + | 36.7098i | −1.04696 | + | 1.79126i | ||||
\(421\) | −13.5849 | − | 13.5849i | −0.662088 | − | 0.662088i | 0.293784 | − | 0.955872i | \(-0.405085\pi\) |
−0.955872 | + | 0.293784i | \(0.905085\pi\) | |||||||
\(422\) | 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 | \(-0.841034\pi\) | ||
0.877867 | − | 0.478905i | \(-0.158966\pi\) | |||||||
\(434\) | −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 | \(0.207409\pi\) | ||||
−0.795117 | + | 0.606455i | \(0.792591\pi\) | |||||||
\(440\) | −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 | −0.193402 | + | 0.981120i | \(0.561952\pi\) |
−0.981120 | + | 0.193402i | \(0.938048\pi\) | |||||||
\(444\) | −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 | −0.371868 | − | 0.928286i | \(-0.621283\pi\) |
0.928286 | + | 0.371868i | \(0.121283\pi\) | |||||||
\(462\) | −1.07315 | − | 1.44817i | −0.0499272 | − | 0.0673749i | ||||
\(463\) | − | 0.530134i | − | 0.0246374i | −0.999924 | − | 0.0123187i | \(-0.996079\pi\) | ||
0.999924 | − | 0.0123187i | \(-0.00392127\pi\) | |||||||
\(464\) | −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 | 0.920138 | − | 0.391595i | \(-0.128077\pi\) |
−0.391595 | + | 0.920138i | \(0.628077\pi\) | |||||||
\(468\) | −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 | 0.949527 | − | 0.313684i | \(-0.101563\pi\) |
−0.313684 | + | 0.949527i | \(0.601563\pi\) | |||||||
\(492\) | 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 | −0.756760 | − | 0.653693i | \(-0.773219\pi\) |
0.653693 | + | 0.756760i | \(0.273219\pi\) | |||||||
\(500\) | −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 | −0.862315 | − | 0.506373i | \(-0.830986\pi\) |
0.506373 | + | 0.862315i | \(0.330986\pi\) | |||||||
\(510\) | 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 | \(0.0973259\pi\) | ||||
−0.953619 | + | 0.301017i | \(0.902674\pi\) | |||||||
\(522\) | −9.76692 | − | 1.45275i | −0.427487 | − | 0.0635851i | ||||
\(523\) | 6.77116 | − | 6.77116i | 0.296082 | − | 0.296082i | −0.543395 | − | 0.839477i | \(-0.682861\pi\) |
0.839477 | + | 0.543395i | \(0.182861\pi\) | |||||||
\(524\) | −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 | −0.518570 | − | 0.855035i | \(-0.673535\pi\) |
0.855035 | + | 0.518570i | \(0.173535\pi\) | |||||||
\(542\) | −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 | 0.962124 | − | 0.272613i | \(-0.0878878\pi\) |
−0.272613 | + | 0.962124i | \(0.587888\pi\) | |||||||
\(548\) | 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 | 0.935424 | − | 0.353527i | \(-0.115018\pi\) |
−0.353527 | + | 0.935424i | \(0.615018\pi\) | |||||||
\(558\) | 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 | 0.371872 | − | 0.928284i | \(-0.378716\pi\) |
−0.928284 | + | 0.371872i | \(0.878716\pi\) | |||||||
\(564\) | 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 | \(-0.950934\pi\) | ||
0.988143 | − | 0.153536i | \(-0.0490661\pi\) | |||||||
\(570\) | 9.47489 | − | 23.6347i | 0.396860 | − | 0.989947i | ||||
\(571\) | −22.1916 | − | 22.1916i | −0.928688 | − | 0.928688i | 0.0689332 | − | 0.997621i | \(-0.478040\pi\) |
−0.997621 | + | 0.0689332i | \(0.978040\pi\) | |||||||
\(572\) | 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 | \(0.0626504\pi\) | ||||
−0.980693 | + | 0.195554i | \(0.937350\pi\) | |||||||
\(578\) | −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 | −0.450252 | − | 0.892902i | \(-0.648666\pi\) |
0.892902 | + | 0.450252i | \(0.148666\pi\) | |||||||
\(588\) | 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 | \(0.287267\pi\) | ||||
−0.619670 | + | 0.784863i | \(0.712733\pi\) | |||||||
\(594\) | −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 | \(0.323071\pi\) | ||||
−0.527656 | + | 0.849458i | \(0.676929\pi\) | |||||||
\(600\) | 22.8293 | + | 29.3794i | 0.932003 | + | 1.19941i | ||||
\(601\) | − | 23.1081i | − | 0.942599i | −0.881973 | − | 0.471299i | \(-0.843785\pi\) | ||
0.881973 | − | 0.471299i | \(-0.156215\pi\) | |||||||
\(602\) | −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 | \(-0.900759\pi\) | ||
0.951790 | − | 0.306750i | \(-0.0992415\pi\) | |||||||
\(608\) | −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 | −0.682727 | − | 0.730674i | \(-0.739206\pi\) |
0.730674 | + | 0.682727i | \(0.239206\pi\) | |||||||
\(614\) | 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 | 0.563628 | − | 0.826029i | \(-0.309405\pi\) |
−0.826029 | + | 0.563628i | \(0.809405\pi\) | |||||||
\(620\) | 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 | \(0.142304\pi\) | ||||
−0.901722 | + | 0.432316i | \(0.857696\pi\) | |||||||
\(632\) | 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 | 0.984641 | − | 0.174592i | \(-0.0558607\pi\) |
−0.174592 | + | 0.984641i | \(0.555861\pi\) | |||||||
\(644\) | −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 | 0.617930 | − | 0.786233i | \(-0.287971\pi\) |
−0.786233 | + | 0.617930i | \(0.787971\pi\) | |||||||
\(654\) | 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 | −0.966447 | − | 0.256868i | \(-0.917310\pi\) |
0.256868 | + | 0.966447i | \(0.417310\pi\) | |||||||
\(660\) | −1.52561 | + | 0.400077i | −0.0593843 | + | 0.0155730i | ||||
\(661\) | −19.7679 | − | 19.7679i | −0.768883 | − | 0.768883i | 0.209027 | − | 0.977910i | \(-0.432970\pi\) |
−0.977910 | + | 0.209027i | \(0.932970\pi\) | |||||||
\(662\) | −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 | \(0.0519634\pi\) | ||||
−0.986705 | + | 0.162524i | \(0.948037\pi\) | |||||||
\(674\) | −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 | −0.181346 | − | 0.983419i | \(-0.558046\pi\) |
0.983419 | + | 0.181346i | \(0.0580455\pi\) | |||||||
\(678\) | 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 | −0.318778 | − | 0.947829i | \(-0.603272\pi\) |
0.947829 | + | 0.318778i | \(0.103272\pi\) | |||||||
\(684\) | −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 | −0.293686 | − | 0.955902i | \(-0.594882\pi\) |
0.955902 | + | 0.293686i | \(0.0948821\pi\) | |||||||
\(692\) | −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 | −0.999189 | − | 0.0402687i | \(-0.987179\pi\) |
0.0402687 | + | 0.999189i | \(0.487179\pi\) | |||||||
\(702\) | −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 | 0.955790 | − | 0.294051i | \(-0.0950036\pi\) |
−0.294051 | + | 0.955790i | \(0.595004\pi\) | |||||||
\(710\) | −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 | 0.583854 | − | 0.811859i | \(-0.301544\pi\) |
−0.811859 | + | 0.583854i | \(0.801544\pi\) | |||||||
\(734\) | −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 | −0.146864 | − | 0.989157i | \(-0.546918\pi\) |
0.989157 | + | 0.146864i | \(0.0469178\pi\) | |||||||
\(740\) | 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 | −0.470763 | − | 0.882260i | \(-0.656021\pi\) |
0.882260 | + | 0.470763i | \(0.156021\pi\) | |||||||
\(758\) | −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 | \(-0.950555\pi\) | ||
0.987959 | − | 0.154713i | \(-0.0494453\pi\) | |||||||
\(762\) | 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 | ||||
\(769\) | −17.8384 | −0.643270 | −0.321635 | − | 0.946864i | \(-0.604232\pi\) | ||||
−0.321635 | + | 0.946864i | \(0.604232\pi\) | |||||||
\(770\) | −1.40855 | + | 0.602385i | −0.0507605 | + | 0.0217085i | ||||
\(771\) | −31.8761 | + | 31.8761i | −1.14799 | + | 1.14799i | ||||
\(772\) | −40.9243 | − | 12.4497i | −1.47290 | − | 0.448076i | ||||
\(773\) | −23.9457 | + | 23.9457i | −0.861267 | + | 0.861267i | −0.991485 | − | 0.130219i | \(-0.958432\pi\) |
0.130219 | + | 0.991485i | \(0.458432\pi\) | |||||||
\(774\) | 12.5243 | + | 1.86288i | 0.450176 | + | 0.0669599i | ||||
\(775\) | −2.87032 | + | 5.68962i | −0.103105 | + | 0.204377i | ||||
\(776\) | −27.4527 | + | 9.78588i | −0.985495 | + | 0.351293i | ||||
\(777\) | 30.2816 | 1.08635 | ||||||||
\(778\) | 19.2713 | + | 2.86645i | 0.690910 | + | 0.102767i | ||||
\(779\) | −18.4485 | − | 18.4485i | −0.660988 | − | 0.660988i | ||||
\(780\) | −41.7605 | + | 10.9513i | −1.49527 | + | 0.392120i | ||||
\(781\) | 1.07180 | − | 1.07180i | 0.0383519 | − | 0.0383519i | ||||
\(782\) | 8.12835 | + | 10.9689i | 0.290669 | + | 0.392247i | ||||
\(783\) | 4.31705i | 0.154279i | ||||||||
\(784\) | −20.1348 | − | 13.4999i | −0.719099 | − | 0.482139i | ||||
\(785\) | 28.0788 | + | 6.68160i | 1.00218 | + | 0.238476i | ||||
\(786\) | −27.6623 | + | 20.4987i | −0.986682 | + | 0.731166i | ||||
\(787\) | −32.3914 | − | 32.3914i | −1.15463 | − | 1.15463i | −0.985614 | − | 0.169014i | \(-0.945942\pi\) |
−0.169014 | − | 0.985614i | \(-0.554058\pi\) | |||||||
\(788\) | 8.51174 | + | 15.9548i | 0.303218 | + | 0.568366i | ||||
\(789\) | 9.51731 | + | 9.51731i | 0.338825 | + | 0.338825i | ||||
\(790\) | −1.33642 | + | 3.33365i | −0.0475478 | + | 0.118606i | ||||
\(791\) | − | 45.2775i | − | 1.60988i | ||||||
\(792\) | 1.34337 | + | 0.637326i | 0.0477346 | + | 0.0226464i | ||||
\(793\) | −17.9761 | −0.638348 | ||||||||
\(794\) | 15.9090 | + | 2.36634i | 0.564591 | + | 0.0839782i | ||||
\(795\) | −40.1786 | + | 24.7324i | −1.42499 | + | 0.877169i | ||||
\(796\) | 11.2058 | + | 3.40895i | 0.397178 | + | 0.120827i | ||||
\(797\) | −1.92658 | − | 1.92658i | −0.0682428 | − | 0.0682428i | 0.672162 | − | 0.740404i | \(-0.265366\pi\) |
−0.740404 | + | 0.672162i | \(0.765366\pi\) | |||||||
\(798\) | −33.0644 | + | 24.5019i | −1.17047 | + | 0.867358i | ||||
\(799\) | 4.82225 | 0.170599 | ||||||||
\(800\) | 11.5364 | − | 25.8246i | 0.407875 | − | 0.913038i | ||||
\(801\) | 15.6160 | 0.551765 | ||||||||
\(802\) | 7.69948 | − | 5.70559i | 0.271878 | − | 0.201471i | ||||
\(803\) | −1.53353 | − | 1.53353i | −0.0541170 | − | 0.0541170i | ||||
\(804\) | −44.8405 | − | 13.6411i | −1.58140 | − | 0.481084i | ||||
\(805\) | −34.9761 | + | 21.5300i | −1.23275 | + | 0.758833i | ||||
\(806\) | −6.54185 | − | 0.973046i | −0.230427 | − | 0.0342741i | ||||
\(807\) | 71.2527 | 2.50822 | ||||||||
\(808\) | −2.15853 | + | 4.54979i | −0.0759367 | + | 0.160061i | ||||
\(809\) | 49.8993i | 1.75437i | 0.480157 | + | 0.877183i | \(0.340580\pi\) | ||||
−0.480157 | + | 0.877183i | \(0.659420\pi\) | |||||||
\(810\) | −6.33734 | + | 15.8082i | −0.222671 | + | 0.555443i | ||||
\(811\) | 22.9363 | + | 22.9363i | 0.805401 | + | 0.805401i | 0.983934 | − | 0.178533i | \(-0.0571351\pi\) |
−0.178533 | + | 0.983934i | \(0.557135\pi\) | |||||||
\(812\) | 6.05728 | + | 11.3540i | 0.212569 | + | 0.398449i | ||||
\(813\) | 8.78196 | + | 8.78196i | 0.307997 | + | 0.307997i | ||||
\(814\) | −0.485102 | + | 0.359478i | −0.0170028 | + | 0.0125997i | ||||
\(815\) | −18.9228 | − | 4.50284i | −0.662836 | − | 0.157727i | ||||
\(816\) | −19.6105 | + | 3.86842i | −0.686506 | + | 0.135422i | ||||
\(817\) | − | 6.98764i | − | 0.244467i | ||||||
\(818\) | 13.6909 | + | 18.4754i | 0.478692 | + | 0.645977i | ||||
\(819\) | −36.7721 | + | 36.7721i | −1.28492 | + | 1.28492i | ||||
\(820\) | 36.8758 | − | 9.67036i | 1.28776 | − | 0.337704i | ||||
\(821\) | 10.7321 | + | 10.7321i | 0.374551 | + | 0.374551i | 0.869132 | − | 0.494581i | \(-0.164678\pi\) |
−0.494581 | + | 0.869132i | \(0.664678\pi\) | |||||||
\(822\) | −6.71678 | − | 0.999064i | −0.234274 | − | 0.0348464i | ||||
\(823\) | 8.56875 | 0.298688 | 0.149344 | − | 0.988785i | \(-0.452284\pi\) | ||||
0.149344 | + | 0.988785i | \(0.452284\pi\) | |||||||
\(824\) | −10.3190 | − | 28.9482i | −0.359478 | − | 1.00846i | ||||
\(825\) | −1.57436 | − | 0.794239i | −0.0548123 | − | 0.0276519i | ||||
\(826\) | −55.8913 | − | 8.31336i | −1.94471 | − | 0.289259i | ||||
\(827\) | 10.0841 | − | 10.0841i | 0.350660 | − | 0.350660i | −0.509695 | − | 0.860355i | \(-0.670242\pi\) |
0.860355 | + | 0.509695i | \(0.170242\pi\) | |||||||
\(828\) | 38.1377 | + | 11.6020i | 1.32538 | + | 0.403197i | ||||
\(829\) | 0.656708 | − | 0.656708i | 0.0228084 | − | 0.0228084i | −0.695611 | − | 0.718419i | \(-0.744866\pi\) |
0.718419 | + | 0.695611i | \(0.244866\pi\) | |||||||
\(830\) | −15.4397 | + | 6.60301i | −0.535920 | + | 0.229194i | ||||
\(831\) | 47.9544 | 1.66352 | ||||||||
\(832\) | 29.2065 | + | 2.94683i | 1.01255 | + | 0.102163i | ||||
\(833\) | − | 11.5111i | − | 0.398836i | ||||||
\(834\) | 16.8208 | + | 22.6991i | 0.582458 | + | 0.786005i | ||||
\(835\) | 1.35232 | − | 0.832439i | 0.0467990 | − | 0.0288077i | ||||
\(836\) | 0.238816 | − | 0.785027i | 0.00825962 | − | 0.0271507i | ||||
\(837\) | 2.18521 | − | 2.18521i | 0.0755318 | − | 0.0755318i | ||||
\(838\) | 2.98388 | − | 20.0608i | 0.103077 | − | 0.692990i | ||||
\(839\) | − | 5.41206i | − | 0.186845i | −0.995627 | − | 0.0934225i | \(-0.970219\pi\) | ||
0.995627 | − | 0.0934225i | \(-0.0297807\pi\) | |||||||
\(840\) | −6.52998 | − | 59.7773i | −0.225306 | − | 2.06251i | ||||
\(841\) | 25.8300i | 0.890690i | ||||||||
\(842\) | 26.8742 | + | 3.99731i | 0.926145 | + | 0.137756i | ||||
\(843\) | −30.6831 | + | 30.6831i | −1.05678 | + | 1.05678i | ||||
\(844\) | 25.6467 | + | 48.0734i | 0.882797 | + | 1.65476i | ||||
\(845\) | 0.544003 | + | 0.883749i | 0.0187143 | + | 0.0304019i | ||||
\(846\) | 11.3128 | − | 8.38322i | 0.388943 | − | 0.288221i | ||||
\(847\) | 39.6882i | 1.36370i | ||||||||
\(848\) | 31.4735 | − | 6.20854i | 1.08080 | − | 0.213202i | ||||
\(849\) | 28.6405 | 0.982939 | ||||||||
\(850\) | 13.2360 | − | 2.27901i | 0.453990 | − | 0.0781694i | ||||
\(851\) | −11.4461 | + | 11.4461i | −0.392368 | + | 0.392368i | ||||
\(852\) | 28.0050 | + | 52.4939i | 0.959436 | + | 1.79841i | ||||
\(853\) | −17.0301 | + | 17.0301i | −0.583098 | + | 0.583098i | −0.935753 | − | 0.352655i | \(-0.885279\pi\) |
0.352655 | + | 0.935753i | \(0.385279\pi\) | |||||||
\(854\) | 3.68366 | − | 24.7655i | 0.126052 | − | 0.847458i | ||||
\(855\) | −26.1095 | − | 6.21298i | −0.892926 | − | 0.212480i | ||||
\(856\) | 34.2660 | + | 16.2566i | 1.17119 | + | 0.555638i | ||||
\(857\) | 53.1079 | 1.81413 | 0.907066 | − | 0.420988i | \(-0.138317\pi\) | ||||
0.907066 | + | 0.420988i | \(0.138317\pi\) | |||||||
\(858\) | 0.269250 | − | 1.81018i | 0.00919203 | − | 0.0617986i | ||||
\(859\) | −10.7609 | − | 10.7609i | −0.367158 | − | 0.367158i | 0.499282 | − | 0.866440i | \(-0.333597\pi\) |
−0.866440 | + | 0.499282i | \(0.833597\pi\) | |||||||
\(860\) | 8.81502 | + | 5.15223i | 0.300590 | + | 0.175690i | ||||
\(861\) | 57.3108 | − | 57.3108i | 1.95315 | − | 1.95315i | ||||
\(862\) | −1.56360 | + | 1.15869i | −0.0532566 | + | 0.0394650i | ||||
\(863\) | 21.2106i | 0.722016i | 0.932563 | + | 0.361008i | \(0.117567\pi\) | ||||
−0.932563 | + | 0.361008i | \(0.882433\pi\) | |||||||
\(864\) | −9.23139 | + | 10.1447i | −0.314058 | + | 0.345131i | ||||
\(865\) | −43.6146 | − | 10.3785i | −1.48294 | − | 0.352879i | ||||
\(866\) | 16.7816 | + | 22.6461i | 0.570261 | + | 0.769546i | ||||
\(867\) | 24.9141 | + | 24.9141i | 0.846126 | + | 0.846126i | ||||
\(868\) | 2.68112 | − | 8.81327i | 0.0910031 | − | 0.299142i | ||||
\(869\) | −0.107655 | − | 0.107655i | −0.00365194 | − | 0.00365194i | ||||
\(870\) | −5.51182 | + | 13.7490i | −0.186868 | + | 0.466134i | ||||
\(871\) | 32.6847i | 1.10748i | ||||||||
\(872\) | −30.9904 | − | 14.7026i | −1.04947 | − | 0.497892i | ||||
\(873\) | −40.4093 | −1.36765 | ||||||||
\(874\) | 3.23654 | − | 21.7595i | 0.109478 | − | 0.736026i | ||||
\(875\) | 3.41242 | + | 40.2605i | 0.115361 | + | 1.36105i | ||||
\(876\) | 75.1083 | − | 40.0696i | 2.53767 | − | 1.35383i | ||||
\(877\) | −25.6041 | − | 25.6041i | −0.864589 | − | 0.864589i | 0.127278 | − | 0.991867i | \(-0.459376\pi\) |
−0.991867 | + | 0.127278i | \(0.959376\pi\) | |||||||
\(878\) | −21.3979 | − | 28.8756i | −0.722143 | − | 0.974506i | ||||
\(879\) | 21.4138 | 0.722268 | ||||||||
\(880\) | 0.814235 | + | 0.880097i | 0.0274479 | + | 0.0296681i | ||||
\(881\) | −13.0675 | −0.440255 | −0.220128 | − | 0.975471i | \(-0.570647\pi\) | ||||
−0.220128 | + | 0.975471i | \(0.570647\pi\) | |||||||
\(882\) | −20.0114 | − | 27.0046i | −0.673819 | − | 0.909293i | ||||
\(883\) | −12.1957 | − | 12.1957i | −0.410419 | − | 0.410419i | 0.471466 | − | 0.881884i | \(-0.343725\pi\) |
−0.881884 | + | 0.471466i | \(0.843725\pi\) | |||||||
\(884\) | 6.56107 | + | 12.2984i | 0.220673 | + | 0.413639i | ||||
\(885\) | −34.0953 | − | 55.3889i | −1.14610 | − | 1.86188i | ||||
\(886\) | 7.27401 | − | 48.9036i | 0.244375 | − | 1.64295i | ||||
\(887\) | −36.3716 | −1.22124 | −0.610619 | − | 0.791924i | \(-0.709079\pi\) | ||||
−0.610619 | + | 0.791924i | \(0.709079\pi\) | |||||||
\(888\) | −7.95765 | − | 22.3239i | −0.267041 | − | 0.749141i | ||||
\(889\) | − | 10.6322i | − | 0.356591i | ||||||
\(890\) | 11.6881 | + | 4.68562i | 0.391785 | + | 0.157062i | ||||
\(891\) | −0.510500 | − | 0.510500i | −0.0171024 | − | 0.0171024i | ||||
\(892\) | −38.4822 | − | 11.7068i | −1.28848 | − | 0.391973i | ||||
\(893\) | −5.49449 | − | 5.49449i | −0.183866 | − | 0.183866i | ||||
\(894\) | −13.7189 | − | 18.5131i | −0.458828 | − | 0.619171i | ||||
\(895\) | 6.59213 | − | 27.7028i | 0.220351 | − | 0.926004i | ||||
\(896\) | −10.0448 | + | 39.6337i | −0.335575 | + | 1.32407i | ||||
\(897\) | − | 49.0649i | − | 1.63823i | ||||||
\(898\) | −6.39411 | + | 4.73827i | −0.213374 | + | 0.158118i | ||||
\(899\) | −1.60458 | + | 1.60458i | −0.0535159 | + | 0.0535159i | ||||
\(900\) | 27.0892 | − | 28.3565i | 0.902974 | − | 0.945216i | ||||
\(901\) | 10.7715 | + | 10.7715i | 0.358849 | + | 0.358849i | ||||
\(902\) | −0.237756 | + | 1.59845i | −0.00791641 | + | 0.0532225i | ||||
\(903\) | 21.7073 | 0.722373 | ||||||||
\(904\) | −33.3791 | + | 11.8984i | −1.11017 | + | 0.395735i | ||||
\(905\) | 43.6451 | + | 10.3857i | 1.45081 | + | 0.345233i | ||||
\(906\) | −7.09479 | + | 47.6987i | −0.235709 | + | 1.58468i | ||||
\(907\) | −35.4831 | + | 35.4831i | −1.17820 | + | 1.17820i | −0.197996 | + | 0.980203i | \(0.563443\pi\) |
−0.980203 | + | 0.197996i | \(0.936557\pi\) | |||||||
\(908\) | −10.5168 | + | 5.61062i | −0.349012 | + | 0.186195i | ||||
\(909\) | −4.93719 | + | 4.93719i | −0.163756 | + | 0.163756i | ||||
\(910\) | −38.5561 | + | 16.4891i | −1.27812 | + | 0.546608i | ||||
\(911\) | 22.6536 | 0.750547 | 0.375274 | − | 0.926914i | \(-0.377549\pi\) | ||||
0.375274 | + | 0.926914i | \(0.377549\pi\) | |||||||
\(912\) | 26.7520 | + | 17.9366i | 0.885848 | + | 0.593941i | ||||
\(913\) | − | 0.711834i | − | 0.0235583i | ||||||
\(914\) | 30.2286 | − | 22.4004i | 0.999872 | − | 0.740941i | ||||
\(915\) | 24.5429 | − | 15.1077i | 0.811363 | − | 0.499445i | ||||
\(916\) | −44.9951 | + | 24.0045i | −1.48668 | + | 0.793129i | ||||
\(917\) | −23.6470 | + | 23.6470i | −0.780894 | + | 0.780894i | ||||
\(918\) | −6.44224 | − | 0.958229i | −0.212626 | − | 0.0316263i | ||||
\(919\) | − | 19.9532i | − | 0.658195i | −0.944296 | − | 0.329097i | \(-0.893256\pi\) | ||
0.944296 | − | 0.329097i | \(-0.106744\pi\) | |||||||
\(920\) | 25.0635 | + | 20.1270i | 0.826319 | + | 0.663567i | ||||
\(921\) | − | 35.7386i | − | 1.17763i | ||||||
\(922\) | −3.51530 | + | 23.6336i | −0.115770 | + | 0.778331i | ||||
\(923\) | 29.3383 | − | 29.3383i | 0.965681 | − | 0.965681i | ||||
\(924\) | 2.43870 | + | 0.741887i | 0.0802275 | + | 0.0244063i | ||||
\(925\) | 4.98165 | + | 15.1252i | 0.163796 | + | 0.497315i | ||||
\(926\) | 0.446370 | + | 0.602360i | 0.0146686 | + | 0.0197948i | ||||
\(927\) | − | 42.6105i | − | 1.39951i | ||||||
\(928\) | 6.77855 | − | 7.44921i | 0.222517 | − | 0.244532i | ||||
\(929\) | 11.0293 | 0.361859 | 0.180929 | − | 0.983496i | \(-0.442089\pi\) | ||||
0.180929 | + | 0.983496i | \(0.442089\pi\) | |||||||
\(930\) | 9.74944 | − | 4.16949i | 0.319697 | − | 0.136723i | ||||
\(931\) | −13.1158 | + | 13.1158i | −0.429853 | + | 0.429853i | ||||
\(932\) | 2.66503 | − | 8.76039i | 0.0872960 | − | 0.286956i | ||||
\(933\) | 37.8418 | − | 37.8418i | 1.23889 | − | 1.23889i | ||||
\(934\) | −22.5952 | − | 3.36085i | −0.739338 | − | 0.109970i | ||||
\(935\) | −0.131798 | + | 0.553868i | −0.00431024 | + | 0.0181134i | ||||
\(936\) | 36.7721 | + | 17.4455i | 1.20193 | + | 0.570224i | ||||
\(937\) | −36.6851 | −1.19845 | −0.599225 | − | 0.800581i | \(-0.704524\pi\) | ||||
−0.599225 | + | 0.800581i | \(0.704524\pi\) | |||||||
\(938\) | −45.0295 | − | 6.69777i | −1.47027 | − | 0.218690i | ||||
\(939\) | −47.7014 | − | 47.7014i | −1.55668 | − | 1.55668i | ||||
\(940\) | 10.9827 | − | 2.88011i | 0.358215 | − | 0.0939387i | ||||
\(941\) | −26.8618 | + | 26.8618i | −0.875671 | + | 0.875671i | −0.993083 | − | 0.117412i | \(-0.962540\pi\) |
0.117412 | + | 0.993083i | \(0.462540\pi\) | |||||||
\(942\) | −28.5935 | − | 38.5859i | −0.931627 | − | 1.25720i | ||||
\(943\) | 43.3258i | 1.41088i | ||||||||
\(944\) | 8.55889 | + | 43.3883i | 0.278568 | + | 1.41217i | ||||
\(945\) | 4.53590 | − | 19.0617i | 0.147553 | − | 0.620077i | ||||
\(946\) | −0.347744 | + | 0.257691i | −0.0113061 | + | 0.00837825i | ||||
\(947\) | 42.0944 | + | 42.0944i | 1.36788 | + | 1.36788i | 0.863451 | + | 0.504433i | \(0.168299\pi\) |
0.504433 | + | 0.863451i | \(0.331701\pi\) | |||||||
\(948\) | 5.27266 | − | 2.81292i | 0.171248 | − | 0.0913593i | ||||
\(949\) | −41.9772 | − | 41.9772i | −1.36264 | − | 1.36264i | ||||
\(950\) | −17.6778 | − | 12.4844i | −0.573545 | − | 0.405048i | ||||
\(951\) | − | 3.51971i | − | 0.114135i | ||||||
\(952\) | −18.2879 | + | 6.51896i | −0.592714 | + | 0.211281i | ||||
\(953\) | −5.32619 | −0.172532 | −0.0862661 | − | 0.996272i | \(-0.527494\pi\) | ||||
−0.0862661 | + | 0.996272i | \(0.527494\pi\) | |||||||
\(954\) | 43.9951 | + | 6.54390i | 1.42439 | + | 0.211866i | ||||
\(955\) | 36.0434 | − | 22.1870i | 1.16634 | − | 0.717953i | ||||
\(956\) | 10.6583 | − | 35.0354i | 0.344713 | − | 1.13313i | ||||
\(957\) | −0.444001 | − | 0.444001i | −0.0143525 | − | 0.0143525i | ||||
\(958\) | −7.24278 | + | 5.36716i | −0.234004 | + | 0.173405i | ||||
\(959\) | −6.59587 | −0.212992 | ||||||||
\(960\) | −42.3525 | + | 20.5228i | −1.36692 | + | 0.662370i | ||||
\(961\) | −29.3756 | −0.947599 | ||||||||
\(962\) | −13.2787 | + | 9.83998i | −0.428122 | + | 0.317254i | ||||
\(963\) | 37.1836 | + | 37.1836i | 1.19822 | + | 1.19822i | ||||
\(964\) | −5.42153 | + | 17.8215i | −0.174616 | + | 0.573990i | ||||
\(965\) | −25.0703 | − | 40.7274i | −0.807041 | − | 1.31106i | ||||
\(966\) | 67.5964 | + | 10.0544i | 2.17488 | + | 0.323495i | ||||
\(967\) | −29.9668 | −0.963667 | −0.481833 | − | 0.876263i | \(-0.660029\pi\) | ||||
−0.481833 | + | 0.876263i | \(0.660029\pi\) | |||||||
\(968\) | 29.2586 | − | 10.4296i | 0.940406 | − | 0.335220i | ||||
\(969\) | 15.2942i | 0.491320i | ||||||||
\(970\) | −30.2449 | − | 12.1249i | −0.971106 | − | 0.389306i | ||||
\(971\) | 0.750872 | + | 0.750872i | 0.0240966 | + | 0.0240966i | 0.719052 | − | 0.694956i | \(-0.244576\pi\) |
−0.694956 | + | 0.719052i | \(0.744576\pi\) | |||||||
\(972\) | 37.8388 | − | 20.1867i | 1.21368 | − | 0.647488i | ||||
\(973\) | 19.4043 | + | 19.4043i | 0.622072 | + | 0.622072i | ||||
\(974\) | −35.5874 | + | 26.3715i | −1.14029 | + | 0.844999i | ||||
\(975\) | −43.0950 | − | 21.7407i | −1.38014 | − | 0.696260i | ||||
\(976\) | −19.2254 | + | 3.79246i | −0.615391 | + | 0.121394i | ||||
\(977\) | − | 26.2513i | − | 0.839854i | −0.907558 | − | 0.419927i | \(-0.862056\pi\) | ||
0.907558 | − | 0.419927i | \(-0.137944\pi\) | |||||||
\(978\) | 19.2696 | + | 26.0037i | 0.616175 | + | 0.831505i | ||||
\(979\) | −0.377447 | + | 0.377447i | −0.0120633 | + | 0.0120633i | ||||
\(980\) | −6.87504 | − | 26.2165i | −0.219615 | − | 0.837455i | ||||
\(981\) | −33.6291 | − | 33.6291i | −1.07370 | − | 1.07370i | ||||
\(982\) | −27.8721 | − | 4.14574i | −0.889433 | − | 0.132296i | ||||
\(983\) | −13.0227 | −0.415360 | −0.207680 | − | 0.978197i | \(-0.566591\pi\) | ||||
−0.207680 | + | 0.978197i | \(0.566591\pi\) | |||||||
\(984\) | −57.3108 | − | 27.1896i | −1.82700 | − | 0.866771i | ||||
\(985\) | −4.68030 | + | 19.6685i | −0.149127 | + | 0.626692i | ||||
\(986\) | 4.73050 | + | 0.703622i | 0.150650 | + | 0.0224079i | ||||
\(987\) | 17.0688 | − | 17.0688i | 0.543305 | − | 0.543305i | ||||
\(988\) | 6.53710 | − | 21.4885i | 0.207973 | − | 0.683641i | ||||
\(989\) | −8.20514 | + | 8.20514i | −0.260908 | + | 0.260908i | ||||
\(990\) | 0.653676 | + | 1.52848i | 0.0207752 | + | 0.0485782i | ||||
\(991\) | 44.7487 | 1.42149 | 0.710744 | − | 0.703451i | \(-0.248358\pi\) | ||||
0.710744 | + | 0.703451i | \(0.248358\pi\) | |||||||
\(992\) | −7.20181 | + | 0.339477i | −0.228658 | + | 0.0107784i | ||||
\(993\) | 22.9348i | 0.727813i | ||||||||
\(994\) | 34.4072 | + | 46.4312i | 1.09133 | + | 1.47271i | ||||
\(995\) | 6.86467 | + | 11.1519i | 0.217625 | + | 0.353538i | ||||
\(996\) | 26.7317 | + | 8.13215i | 0.847026 | + | 0.257677i | ||||
\(997\) | 21.2387 | − | 21.2387i | 0.672637 | − | 0.672637i | −0.285686 | − | 0.958323i | \(-0.592222\pi\) |
0.958323 | + | 0.285686i | \(0.0922215\pi\) | |||||||
\(998\) | 0.677452 | − | 4.55456i | 0.0214444 | − | 0.144172i | ||||
\(999\) | − | 7.72244i | − | 0.244327i |
(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 | 80.2.q.c.69.2 | yes | 16 | |
3.2 | odd | 2 | 720.2.bm.f.469.7 | 16 | |||
4.3 | odd | 2 | 320.2.q.c.49.2 | 16 | |||
5.2 | odd | 4 | 400.2.l.i.101.3 | 16 | |||
5.3 | odd | 4 | 400.2.l.i.101.6 | 16 | |||
5.4 | even | 2 | inner | 80.2.q.c.69.7 | yes | 16 | |
8.3 | odd | 2 | 640.2.q.f.609.7 | 16 | |||
8.5 | even | 2 | 640.2.q.e.609.2 | 16 | |||
15.14 | odd | 2 | 720.2.bm.f.469.2 | 16 | |||
16.3 | odd | 4 | 320.2.q.c.209.7 | 16 | |||
16.5 | even | 4 | 640.2.q.e.289.7 | 16 | |||
16.11 | odd | 4 | 640.2.q.f.289.2 | 16 | |||
16.13 | even | 4 | inner | 80.2.q.c.29.7 | yes | 16 | |
20.3 | even | 4 | 1600.2.l.h.1201.7 | 16 | |||
20.7 | even | 4 | 1600.2.l.h.1201.2 | 16 | |||
20.19 | odd | 2 | 320.2.q.c.49.7 | 16 | |||
40.19 | odd | 2 | 640.2.q.f.609.2 | 16 | |||
40.29 | even | 2 | 640.2.q.e.609.7 | 16 | |||
48.29 | odd | 4 | 720.2.bm.f.109.2 | 16 | |||
80.3 | even | 4 | 1600.2.l.h.401.7 | 16 | |||
80.13 | odd | 4 | 400.2.l.i.301.6 | 16 | |||
80.19 | odd | 4 | 320.2.q.c.209.2 | 16 | |||
80.29 | even | 4 | inner | 80.2.q.c.29.2 | ✓ | 16 | |
80.59 | odd | 4 | 640.2.q.f.289.7 | 16 | |||
80.67 | even | 4 | 1600.2.l.h.401.2 | 16 | |||
80.69 | even | 4 | 640.2.q.e.289.2 | 16 | |||
80.77 | odd | 4 | 400.2.l.i.301.3 | 16 | |||
240.29 | odd | 4 | 720.2.bm.f.109.7 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
80.2.q.c.29.2 | ✓ | 16 | 80.29 | even | 4 | inner | |
80.2.q.c.29.7 | yes | 16 | 16.13 | even | 4 | inner | |
80.2.q.c.69.2 | yes | 16 | 1.1 | even | 1 | trivial | |
80.2.q.c.69.7 | yes | 16 | 5.4 | even | 2 | inner | |
320.2.q.c.49.2 | 16 | 4.3 | odd | 2 | |||
320.2.q.c.49.7 | 16 | 20.19 | odd | 2 | |||
320.2.q.c.209.2 | 16 | 80.19 | odd | 4 | |||
320.2.q.c.209.7 | 16 | 16.3 | odd | 4 | |||
400.2.l.i.101.3 | 16 | 5.2 | odd | 4 | |||
400.2.l.i.101.6 | 16 | 5.3 | odd | 4 | |||
400.2.l.i.301.3 | 16 | 80.77 | odd | 4 | |||
400.2.l.i.301.6 | 16 | 80.13 | odd | 4 | |||
640.2.q.e.289.2 | 16 | 80.69 | even | 4 | |||
640.2.q.e.289.7 | 16 | 16.5 | even | 4 | |||
640.2.q.e.609.2 | 16 | 8.5 | even | 2 | |||
640.2.q.e.609.7 | 16 | 40.29 | even | 2 | |||
640.2.q.f.289.2 | 16 | 16.11 | odd | 4 | |||
640.2.q.f.289.7 | 16 | 80.59 | odd | 4 | |||
640.2.q.f.609.2 | 16 | 40.19 | odd | 2 | |||
640.2.q.f.609.7 | 16 | 8.3 | odd | 2 | |||
720.2.bm.f.109.2 | 16 | 48.29 | odd | 4 | |||
720.2.bm.f.109.7 | 16 | 240.29 | odd | 4 | |||
720.2.bm.f.469.2 | 16 | 15.14 | odd | 2 | |||
720.2.bm.f.469.7 | 16 | 3.2 | odd | 2 | |||
1600.2.l.h.401.2 | 16 | 80.67 | even | 4 | |||
1600.2.l.h.401.7 | 16 | 80.3 | even | 4 | |||
1600.2.l.h.1201.2 | 16 | 20.7 | even | 4 | |||
1600.2.l.h.1201.7 | 16 | 20.3 | even | 4 |