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 | 29.7 | ||
Root | \(0.841995 + 1.13624i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 80.29 |
Dual form | 80.2.q.c.69.7 |
$q$-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 | \(0.524544\pi\) |
−0.997029 | + | 0.0770310i | \(0.975456\pi\) | |||||||
\(4\) | 0.582088 | + | 1.91342i | 0.291044 | + | 0.956710i | ||||
\(5\) | −1.17216 | − | 1.90421i | −0.524207 | − | 0.851591i | ||||
\(6\) | −3.68016 | + | 0.547394i | −1.50242 | + | 0.223473i | ||||
\(7\) | 3.61392 | 1.36593 | 0.682966 | − | 0.730450i | \(-0.260690\pi\) | ||||
0.682966 | + | 0.730450i | \(0.260690\pi\) | |||||||
\(8\) | −0.949697 | + | 2.66422i | −0.335768 | + | 0.941945i | ||||
\(9\) | − | 3.92163i | − | 1.30721i | ||||||
\(10\) | 0.271479 | − | 3.15060i | 0.0858491 | − | 0.996308i | ||||
\(11\) | −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 | −0.248909 | − | 0.968527i | \(-0.580072\pi\) |
0.968527 | + | 0.248909i | \(0.0800720\pi\) | |||||||
\(14\) | 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 | 0.413849 | − | 0.910345i | \(-0.364184\pi\) |
−0.910345 | + | 0.413849i | \(0.864184\pi\) | |||||||
\(20\) | 2.96126 | − | 3.35126i | 0.662157 | − | 0.749365i | ||||
\(21\) | −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 | \(-0.677766\pi\) | ||||
−0.529888 | + | 0.848068i | \(0.677766\pi\) | |||||||
\(24\) | −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 | \(0.697137\pi\) | |||||||
\(30\) | 5.35611 | + | 6.36619i | 0.977887 | + | 1.16230i | ||||
\(31\) | −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 | ||||
\(35\) | −4.23610 | − | 6.88168i | −0.716032 | − | 1.16322i | ||||
\(36\) | 7.50371 | − | 2.28273i | 1.25062 | − | 0.380456i | ||||
\(37\) | 2.25207 | + | 2.25207i | 0.370237 | + | 0.370237i | 0.867564 | − | 0.497326i | \(-0.165685\pi\) |
−0.497326 | + | 0.867564i | \(0.665685\pi\) | |||||||
\(38\) | −0.636801 | − | 4.28125i | −0.103303 | − | 0.694511i | ||||
\(39\) | 9.65368i | 1.54583i | ||||||||
\(40\) | 6.18645 | − | 1.31448i | 0.978163 | − | 0.207837i | ||||
\(41\) | − | 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 | 0.819406 | − | 0.573214i | \(-0.194304\pi\) |
−0.573214 | + | 0.819406i | \(0.694304\pi\) | |||||||
\(44\) | −0.236543 | − | 0.126194i | −0.0356602 | − | 0.0190244i | ||||
\(45\) | −7.46762 | + | 4.59679i | −1.11321 | + | 0.685249i | ||||
\(46\) | −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 | ||||||||
\(50\) | −6.31764 | + | 3.17607i | −0.893449 | + | 0.449164i | ||||
\(51\) | 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 | \(-0.0643166\pi\) |
−0.200684 | + | 0.979656i | \(0.564317\pi\) | |||||||
\(54\) | 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 | \(0.994283\pi\) | |||||||
\(60\) | 0.725535 | + | 11.7433i | 0.0936661 | + | 1.51606i | ||||
\(61\) | 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 | −0.208526 | − | 0.978017i | \(-0.566866\pi\) |
0.978017 | + | 0.208526i | \(0.0668665\pi\) | |||||||
\(68\) | 3.63434 | − | 1.10561i | 0.440728 | − | 0.134076i | ||||
\(69\) | 9.45512 | − | 9.45512i | 1.13826 | − | 1.13826i | ||||
\(70\) | 0.981101 | − | 11.3860i | 0.117264 | − | 1.36089i | ||||
\(71\) | − | 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 | \(-0.895684\pi\) | ||||
−0.946779 | + | 0.321885i | \(0.895684\pi\) | |||||||
\(74\) | 0.662661 | + | 4.45512i | 0.0770328 | + | 0.517897i | ||||
\(75\) | −4.11511 | − | 12.4943i | −0.475172 | − | 1.44271i | ||||
\(76\) | 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 | \(0.479649\pi\) | |||||||
\(80\) | 8.13608 | + | 3.71540i | 0.909642 | + | 0.415394i | ||||
\(81\) | 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 | \(-0.844133\pi\) |
0.470335 | + | 0.882488i | \(0.344133\pi\) | |||||||
\(84\) | −16.7775 | − | 8.95062i | −1.83057 | − | 0.976593i | ||||
\(85\) | −3.61685 | + | 2.22640i | −0.392303 | + | 0.241487i | ||||
\(86\) | 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 | \(0.932313\pi\) | |||||||
\(90\) | −12.3555 | − | 1.06464i | −1.30238 | − | 0.112223i | ||||
\(91\) | 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 | ||||
\(100\) | −9.85260 | − | 1.71064i | −0.985260 | − | 0.171064i | ||||
\(101\) | 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 | \(-0.320196\pi\) | ||||
0.535306 | + | 0.844658i | \(0.320196\pi\) | |||||||
\(104\) | 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 | \(-0.474459\pi\) |
−0.996782 | + | 0.0801549i | \(0.974459\pi\) | |||||||
\(108\) | −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 | \(0.947257\pi\) | |||||||
\(110\) | 0.272905 | + | 0.324371i | 0.0260205 | + | 0.0309275i | ||||
\(111\) | −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 | ||||
\(115\) | 5.95753 | + | 9.67818i | 0.555542 | + | 0.902495i | ||||
\(116\) | −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 | ||||||
\(120\) | −9.06346 | + | 13.9542i | −0.827376 | + | 1.27384i | ||||
\(121\) | 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 | ||||
\(125\) | 11.1404 | − | 0.944243i | 0.996427 | − | 0.0844556i | ||||
\(126\) | 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 | ||||||||
\(130\) | −7.47023 | − | 8.87900i | −0.655183 | − | 0.778740i | ||||
\(131\) | 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 | \(-0.524842\pi\) | ||||
−0.0779657 | + | 0.996956i | \(0.524842\pi\) | |||||||
\(138\) | 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 | \(0.354365\pi\) | |||||||
\(140\) | 10.7017 | − | 12.1112i | 0.904462 | − | 1.02358i | ||||
\(141\) | −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 | \(0.168360\pi\) | |||||||
\(150\) | 5.84435 | − | 17.6614i | 0.477189 | − | 1.44205i | ||||
\(151\) | 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 | ||||
\(155\) | 1.49395 | + | 2.42697i | 0.119997 | + | 0.194939i | ||||
\(156\) | −18.4715 | + | 5.61929i | −1.47891 | + | 0.449904i | ||||
\(157\) | −9.12723 | + | 9.12723i | −0.728432 | + | 0.728432i | −0.970307 | − | 0.241875i | \(-0.922238\pi\) |
0.241875 | + | 0.970307i | \(0.422238\pi\) | |||||||
\(158\) | 1.29048 | + | 0.956294i | 0.102665 | + | 0.0760787i | ||||
\(159\) | −21.0998 | −1.67332 | ||||||||
\(160\) | 6.11621 | + | 11.0721i | 0.483529 | + | 0.875329i | ||||
\(161\) | −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 | \(-0.639346\pi\) |
0.905701 | + | 0.423918i | \(0.139346\pi\) | |||||||
\(164\) | 16.3110 | − | 4.96202i | 1.27367 | − | 0.387468i | ||||
\(165\) | −0.671562 | + | 0.413389i | −0.0522811 | + | 0.0321823i | ||||
\(166\) | −7.42806 | + | 1.10486i | −0.576529 | + | 0.0857539i | ||||
\(167\) | −0.710173 | −0.0549548 | −0.0274774 | − | 0.999622i | \(-0.508747\pi\) | ||||
−0.0274774 | + | 0.999622i | \(0.508747\pi\) | |||||||
\(168\) | −11.5269 | − | 24.2966i | −0.889317 | − | 1.87452i | ||||
\(169\) | − | 0.464102i | − | 0.0357001i | ||||||
\(170\) | −5.98423 | − | 0.515645i | −0.458970 | − | 0.0395481i | ||||
\(171\) | −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 | \(-0.474132\pi\) |
0.996700 | − | 0.0811779i | \(-0.0258682\pi\) | |||||||
\(174\) | −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 | \(0.592111\pi\) | |||||||
\(180\) | −13.1424 | − | 11.6129i | −0.979576 | − | 0.865578i | ||||
\(181\) | 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 | ||||
\(190\) | −7.40599 | + | 6.23093i | −0.537287 | + | 0.452040i | ||||
\(191\) | 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 | ||||
\(195\) | 18.3827 | − | 11.3157i | 1.31641 | − | 0.810333i | ||||
\(196\) | 3.52769 | + | 11.5961i | 0.251978 | + | 0.828292i | ||||
\(197\) | 6.39341 | + | 6.39341i | 0.455511 | + | 0.455511i | 0.897179 | − | 0.441667i | \(-0.145613\pi\) |
−0.441667 | + | 0.897179i | \(0.645613\pi\) | |||||||
\(198\) | 0.109378 | + | 0.735353i | 0.00777313 | + | 0.0522593i | ||||
\(199\) | − | 5.85641i | − | 0.415150i | −0.978219 | − | 0.207575i | \(-0.933443\pi\) | ||
0.978219 | − | 0.207575i | \(-0.0665570\pi\) | |||||||
\(200\) | −9.75458 | − | 10.2395i | −0.689753 | − | 0.724045i | ||||
\(201\) | 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 | ||||
\(205\) | −16.2325 | + | 9.99212i | −1.13373 | + | 0.697880i | ||||
\(206\) | 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 | ||||||||
\(210\) | 19.3565 | + | 23.0069i | 1.33573 | + | 1.58763i | ||||
\(211\) | −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 | ||||
\(220\) | 0.0369675 | + | 0.598348i | 0.00249235 | + | 0.0403406i | ||||
\(221\) | −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 | \(-0.686625\pi\) |
0.832994 | + | 0.553282i | \(0.186625\pi\) | |||||||
\(228\) | 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 | \(0.931079\pi\) | |||||||
\(230\) | −1.37979 | + | 16.0130i | −0.0909807 | + | 1.05586i | ||||
\(231\) | − | 1.27453i | − | 0.0838577i | ||||||
\(232\) | −4.54979 | + | 2.15853i | −0.298709 | + | 0.141714i | ||||
\(233\) | −4.57839 | −0.299941 | −0.149970 | − | 0.988691i | \(-0.547918\pi\) | ||||
−0.149970 | + | 0.988691i | \(0.547918\pi\) | |||||||
\(234\) | −2.99399 | − | 20.1288i | −0.195723 | − | 1.31586i | ||||
\(235\) | 4.83449 | − | 2.97593i | 0.315367 | − | 0.194128i | ||||
\(236\) | −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 | \(0.298259\pi\) | |||||||
\(240\) | −22.0476 | + | 8.22392i | −1.42317 | + | 0.530852i | ||||
\(241\) | −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 | ||||
\(245\) | −7.10379 | − | 11.5403i | −0.453844 | − | 0.737283i | ||||
\(246\) | 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 | ||||||
\(250\) | 13.4532 | + | 8.30727i | 0.850857 | + | 0.525398i | ||||
\(251\) | −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 | \(0.179468\pi\) | ||||
−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 | ||||
\(260\) | −1.01191 | − | 16.3786i | −0.0627561 | − | 1.01576i | ||||
\(261\) | 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 | \(-0.550418\pi\) | ||||
−0.157731 | + | 0.987482i | \(0.550418\pi\) | |||||||
\(264\) | 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 | \(0.440814\pi\) | |||||||
\(270\) | 5.86724 | − | 4.93633i | 0.357069 | − | 0.300415i | ||||
\(271\) | 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 | ||||
\(275\) | −0.209674 | − | 0.636609i | −0.0126438 | − | 0.0383890i | ||||
\(276\) | 23.5953 | + | 12.5879i | 1.42027 | + | 0.757702i | ||||
\(277\) | −12.8887 | − | 12.8887i | −0.774408 | − | 0.774408i | 0.204466 | − | 0.978874i | \(-0.434454\pi\) |
−0.978874 | + | 0.204466i | \(0.934454\pi\) | |||||||
\(278\) | −10.6218 | + | 1.57990i | −0.637052 | + | 0.0947561i | ||||
\(279\) | 4.99822i | 0.299235i | ||||||||
\(280\) | 22.3573 | − | 4.75041i | 1.33611 | − | 0.283892i | ||||
\(281\) | − | 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 | 0.440279 | − | 0.897861i | \(-0.354879\pi\) |
−0.897861 | + | 0.440279i | \(0.854879\pi\) | |||||||
\(284\) | 21.6357 | − | 6.58188i | 1.28384 | − | 0.390563i | ||||
\(285\) | −9.43844 | − | 15.3330i | −0.559085 | − | 0.908250i | ||||
\(286\) | −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 | ||||||||
\(290\) | 4.30828 | − | 3.62472i | 0.252991 | − | 0.212851i | ||||
\(291\) | −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 | \(-0.326411\pi\) |
−0.854947 | + | 0.518715i | \(0.826411\pi\) | |||||||
\(294\) | −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 | ||||
\(300\) | 21.5114 | − | 15.1467i | 1.24196 | − | 0.874495i | ||||
\(301\) | 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 | \(-0.623289\pi\) |
0.925924 | + | 0.377711i | \(0.123289\pi\) | |||||||
\(308\) | −0.854848 | − | 0.456053i | −0.0487095 | − | 0.0259861i | ||||
\(309\) | −20.2134 | + | 20.2134i | −1.14990 | + | 1.14990i | ||||
\(310\) | −0.346007 | + | 4.01553i | −0.0196519 | + | 0.228067i | ||||
\(311\) | 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 | \(-0.241993\pi\) | ||||
0.724669 | + | 0.689097i | \(0.241993\pi\) | |||||||
\(314\) | −18.0558 | + | 2.68565i | −1.01895 | + | 0.151560i | ||||
\(315\) | −26.9874 | + | 16.6124i | −1.52057 | + | 0.936003i | ||||
\(316\) | 0.661106 | + | 2.17316i | 0.0371901 | + | 0.122250i | ||||
\(317\) | 0.945994 | − | 0.945994i | 0.0531323 | − | 0.0531323i | −0.680041 | − | 0.733174i | \(-0.738038\pi\) |
0.733174 | + | 0.680041i | \(0.238038\pi\) | |||||||
\(318\) | −23.9745 | − | 17.7659i | −1.34442 | − | 0.996264i | ||||
\(319\) | −0.238668 | −0.0133629 | ||||||||
\(320\) | −2.37319 | + | 17.7304i | −0.132665 | + | 0.991161i | ||||
\(321\) | 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 | ||||
\(325\) | 5.73939 | + | 17.4259i | 0.318364 | + | 0.966615i | ||||
\(326\) | 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 | ||||||||
\(330\) | −1.11113 | − | 0.0957428i | −0.0611656 | − | 0.00527047i | ||||
\(331\) | 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 | \(0.279237\pi\) | ||||
−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 | ||||
\(340\) | −6.36536 | − | 5.62459i | −0.345210 | − | 0.305036i | ||||
\(341\) | 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 | \(-0.0849659\pi\) |
−0.263770 | + | 0.964586i | \(0.584966\pi\) | |||||||
\(348\) | −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 | \(-0.529080\pi\) | |||||||
\(350\) | −22.8314 | + | 11.4781i | −1.22039 | + | 0.613528i | ||||
\(351\) | 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 | ||||
\(355\) | −21.5316 | + | 13.2541i | −1.14278 | + | 0.703453i | ||||
\(356\) | −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 | \(-0.142534\pi\) | |||||||
\(360\) | −5.15489 | − | 24.2609i | −0.271686 | − | 1.27866i | ||||
\(361\) | − | 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 | ||||
\(365\) | 18.9639 | + | 30.8075i | 0.992617 | + | 1.61254i | ||||
\(366\) | −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 | ||||||||
\(370\) | 7.70675 | − | 6.48398i | 0.400655 | − | 0.337086i | ||||
\(371\) | 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 | \(-0.146444\pi\) |
−0.444008 | + | 0.896023i | \(0.646444\pi\) | |||||||
\(374\) | 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 | \(0.178733\pi\) | |||||||
\(380\) | −13.6614 | + | 0.844038i | −0.700815 | + | 0.0432982i | ||||
\(381\) | −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 | −0.909539 | − | 0.415618i | \(-0.863565\pi\) |
0.415618 | + | 0.909539i | \(0.363565\pi\) | |||||||
\(390\) | 30.4149 | + | 2.62077i | 1.54012 | + | 0.132708i | ||||
\(391\) | 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 | ||||
\(395\) | −1.33128 | − | 2.16271i | −0.0669841 | − | 0.108818i | ||||
\(396\) | −0.494884 | + | 0.927634i | −0.0248689 | + | 0.0466154i | ||||
\(397\) | 8.04203 | − | 8.04203i | 0.403618 | − | 0.403618i | −0.475888 | − | 0.879506i | \(-0.657873\pi\) |
0.879506 | + | 0.475888i | \(0.157873\pi\) | |||||||
\(398\) | 4.93107 | − | 6.65429i | 0.247172 | − | 0.333549i | ||||
\(399\) | 29.0998 | 1.45681 | ||||||||
\(400\) | −2.46191 | − | 19.8479i | −0.123095 | − | 0.992395i | ||||
\(401\) | −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 | ||||
\(405\) | −6.31295 | − | 10.2556i | −0.313693 | − | 0.509604i | ||||
\(406\) | 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 | \(0.868313\pi\) | |||||||
\(410\) | −26.8573 | − | 2.31422i | −1.32639 | − | 0.114291i | ||||
\(411\) | 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 | \(0.863923\pi\) | |||||||
\(420\) | 2.62202 | + | 42.4395i | 0.127942 | + | 2.07083i | ||||
\(421\) | −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 | ||||
\(430\) | 5.52457 | − | 4.64802i | 0.266418 | − | 0.224148i | ||||
\(431\) | 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 | ||||
\(435\) | 5.49061 | + | 8.91966i | 0.263255 | + | 0.427665i | ||||
\(436\) | 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 | \(-0.207409\pi\) | |||||||
\(440\) | −0.461802 | + | 0.710995i | −0.0220156 | + | 0.0338953i | ||||
\(441\) | − | 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 | \(0.0619522\pi\) |
0.193402 | + | 0.981120i | \(0.438048\pi\) | |||||||
\(444\) | −4.87741 | − | 16.0328i | −0.231471 | − | 0.760884i | ||||
\(445\) | 7.58264 | − | 4.66759i | 0.359452 | − | 0.221265i | ||||
\(446\) | 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 | \(0.457607\pi\) | |||||||
\(450\) | 12.4554 | + | 24.7754i | 0.587151 | + | 1.16792i | ||||
\(451\) | 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 | \(-0.286222\pi\) | ||||
0.622241 | + | 0.782825i | \(0.286222\pi\) | |||||||
\(458\) | −35.6684 | + | 5.30538i | −1.66668 | + | 0.247904i | ||||
\(459\) | 3.25656 | − | 3.25656i | 0.152003 | − | 0.152003i | ||||
\(460\) | −15.0506 | + | 17.0328i | −0.701738 | + | 0.794159i | ||||
\(461\) | 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 | \(-0.996079\pi\) | ||
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 | \(-0.871923\pi\) |
0.391595 | + | 0.920138i | \(0.371923\pi\) | |||||||
\(468\) | 13.5465 | − | 25.3921i | 0.626185 | − | 1.17375i | ||||
\(469\) | 22.7625 | − | 22.7625i | 1.05107 | − | 1.05107i | ||||
\(470\) | 7.99887 | + | 0.689240i | 0.368960 | + | 0.0317923i | ||||
\(471\) | − | 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 | ||||
\(475\) | 14.5350 | − | 4.78724i | 0.666910 | − | 0.219654i | ||||
\(476\) | 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 | \(0.453481\pi\) | |||||||
\(480\) | −31.9759 | − | 9.21963i | −1.45949 | − | 0.420817i | ||||
\(481\) | 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 | ||||
\(485\) | 19.6214 | − | 12.0782i | 0.890963 | − | 0.548444i | ||||
\(486\) | −29.9956 | + | 4.46159i | −1.36063 | + | 0.202382i | ||||
\(487\) | −31.3203 | −1.41926 | −0.709629 | − | 0.704575i | \(-0.751138\pi\) | ||||
−0.709629 | + | 0.704575i | \(0.751138\pi\) | |||||||
\(488\) | −12.5190 | + | 5.93929i | −0.566708 | + | 0.268859i | ||||
\(489\) | 22.8857i | 1.03493i | ||||||||
\(490\) | 1.64527 | − | 19.0939i | 0.0743257 | − | 0.862576i | ||||
\(491\) | 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 | \(0.773219\pi\) | |||||||
\(500\) | 8.29143 | + | 20.7666i | 0.370804 | + | 0.928711i | ||||
\(501\) | 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 | \(-0.393302\pi\) | ||||
0.328961 | + | 0.944344i | \(0.393302\pi\) | |||||||
\(504\) | 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 | \(0.830986\pi\) | |||||||
\(510\) | 12.0919 | − | 10.1734i | 0.535438 | − | 0.450484i | ||||
\(511\) | −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 | ||||
\(515\) | −12.7362 | − | 20.6903i | −0.561223 | − | 0.911723i | ||||
\(516\) | −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 | ||||||||
\(520\) | 12.6409 | − | 19.4621i | 0.554341 | − | 0.853467i | ||||
\(521\) | − | 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 | 0.543395 | − | 0.839477i | \(-0.317139\pi\) |
−0.839477 | + | 0.543395i | \(0.817139\pi\) | |||||||
\(524\) | −8.71133 | + | 16.3289i | −0.380556 | + | 0.713332i | ||||
\(525\) | −14.8717 | − | 45.1532i | −0.649053 | − | 1.97065i | ||||
\(526\) | −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 | ||||||||
\(530\) | 19.4066 | − | 16.3275i | 0.842970 | − | 0.709222i | ||||
\(531\) | 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 | ||||
\(540\) | 10.8230 | − | 0.668672i | 0.465746 | − | 0.0287750i | ||||
\(541\) | 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 | −0.962124 | − | 0.272613i | \(-0.912112\pi\) |
0.272613 | + | 0.962124i | \(0.412112\pi\) | |||||||
\(548\) | −1.06239 | − | 3.49224i | −0.0453829 | − | 0.149181i | ||||
\(549\) | 13.5849 | − | 13.5849i | 0.579790 | − | 0.579790i | ||||
\(550\) | 0.297782 | − | 0.899886i | 0.0126975 | − | 0.0383713i | ||||
\(551\) | − | 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 | ||||
\(555\) | 9.82174 | + | 15.9557i | 0.416909 | + | 0.677282i | ||||
\(556\) | −13.3992 | − | 7.14833i | −0.568251 | − | 0.303157i | ||||
\(557\) | −13.7333 | + | 13.7333i | −0.581897 | + | 0.581897i | −0.935424 | − | 0.353527i | \(-0.884982\pi\) |
0.353527 | + | 0.935424i | \(0.384982\pi\) | |||||||
\(558\) | −4.20847 | + | 5.67918i | −0.178159 | + | 0.240419i | ||||
\(559\) | 8.37745 | 0.354328 | ||||||||
\(560\) | 29.4031 | + | 13.4271i | 1.24251 | + | 0.567400i | ||||
\(561\) | −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 | \(-0.621284\pi\) |
0.928284 | + | 0.371872i | \(0.121284\pi\) | |||||||
\(564\) | 6.28796 | − | 11.7864i | 0.264771 | − | 0.496299i | ||||
\(565\) | 23.8572 | − | 14.6856i | 1.00368 | − | 0.617828i | ||||
\(566\) | −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 | \(0.950934\pi\) | |||||||
\(570\) | 2.18599 | − | 25.3691i | 0.0915609 | − | 1.06260i | ||||
\(571\) | −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 | \(0.0626504\pi\) | ||||
−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 | ||||
\(580\) | 7.94724 | − | 0.491001i | 0.329991 | − | 0.0203877i | ||||
\(581\) | −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 | \(-0.351334\pi\) |
−0.892902 | + | 0.450252i | \(0.851334\pi\) | |||||||
\(588\) | −28.1352 | − | 15.0099i | −1.16027 | − | 0.618996i | ||||
\(589\) | 2.75830 | + | 2.75830i | 0.113654 | + | 0.113654i | ||||
\(590\) | 22.5086 | + | 26.7533i | 0.926663 | + | 1.10142i | ||||
\(591\) | −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 | ||||
\(595\) | −13.0710 | + | 8.04603i | −0.535859 | + | 0.329855i | ||||
\(596\) | 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 | \(-0.323071\pi\) | |||||||
\(600\) | 37.1956 | + | 0.902194i | 1.51850 | + | 0.0368319i | ||||
\(601\) | 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 | ||||
\(605\) | 20.9121 | − | 12.8727i | 0.850199 | − | 0.523351i | ||||
\(606\) | −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 | ||||||||
\(610\) | 11.8544 | − | 9.97358i | 0.479972 | − | 0.403818i | ||||
\(611\) | 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 | \(-0.260794\pi\) |
−0.730674 | + | 0.682727i | \(0.760794\pi\) | |||||||
\(614\) | 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 | \(-0.466382\pi\) | ||||
0.105419 | + | 0.994428i | \(0.466382\pi\) | |||||||
\(618\) | −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 | \(0.309405\pi\) | |||||||
\(620\) | −3.77420 | + | 4.27127i | −0.151576 | + | 0.171538i | ||||
\(621\) | −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 | ||||
\(630\) | −44.6517 | − | 3.84751i | −1.77897 | − | 0.153289i | ||||
\(631\) | − | 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 | ||||
\(635\) | 5.60221 | − | 3.44851i | 0.222317 | − | 0.136850i | ||||
\(636\) | −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 | ||||||||
\(640\) | −17.6254 | + | 18.1478i | −0.696707 | + | 0.717356i | ||||
\(641\) | −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 | \(-0.944139\pi\) |
0.174592 | + | 0.984641i | \(0.444139\pi\) | |||||||
\(644\) | −10.6917 | − | 35.1452i | −0.421310 | − | 1.38492i | ||||
\(645\) | 7.04069 | + | 11.4378i | 0.277227 | + | 0.450363i | ||||
\(646\) | −8.13178 | + | 1.20954i | −0.319941 | + | 0.0475885i | ||||
\(647\) | 31.7472 | 1.24811 | 0.624056 | − | 0.781379i | \(-0.285484\pi\) | ||||
0.624056 | + | 0.781379i | \(0.285484\pi\) | |||||||
\(648\) | −5.11481 | + | 14.3488i | −0.200929 | + | 0.563673i | ||||
\(649\) | − | 1.48207i | − | 0.0581764i | ||||||
\(650\) | −8.15118 | + | 24.6326i | −0.319716 | + | 0.966169i | ||||
\(651\) | 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 | \(-0.712029\pi\) |
0.786233 | + | 0.617930i | \(0.212029\pi\) | |||||||
\(654\) | 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 | \(0.917310\pi\) | |||||||
\(660\) | −1.18189 | − | 1.04435i | −0.0460052 | − | 0.0406513i | ||||
\(661\) | −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 | ||||
\(670\) | −18.1343 | − | 21.5542i | −0.700590 | − | 0.832710i | ||||
\(671\) | −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 | ||||
\(675\) | −11.5150 | + | 3.79259i | −0.443214 | + | 0.145977i | ||||
\(676\) | 0.888021 | − | 0.270148i | 0.0341547 | − | 0.0103903i | ||||
\(677\) | −20.8693 | − | 20.8693i | −0.802073 | − | 0.802073i | 0.181346 | − | 0.983419i | \(-0.441954\pi\) |
−0.983419 | + | 0.181346i | \(0.941954\pi\) | |||||||
\(678\) | −6.85810 | − | 46.1075i | −0.263384 | − | 1.77075i | ||||
\(679\) | 37.2386i | 1.42909i | ||||||||
\(680\) | −2.49671 | − | 11.7505i | −0.0957444 | − | 0.450611i | ||||
\(681\) | 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 | \(-0.396728\pi\) |
−0.947829 | + | 0.318778i | \(0.896728\pi\) | |||||||
\(684\) | −21.1796 | − | 11.2991i | −0.809822 | − | 0.432033i | ||||
\(685\) | 2.13935 | + | 3.47544i | 0.0817404 | + | 0.132790i | ||||
\(686\) | −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 | ||||||||
\(690\) | −27.2225 | − | 32.3562i | −1.03634 | − | 1.23178i | ||||
\(691\) | 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 | ||||
\(700\) | −35.6065 | − | 6.18212i | −1.34580 | − | 0.233662i | ||||
\(701\) | −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 | \(0.0950036\pi\) | |||||||
\(710\) | −35.6250 | − | 3.06970i | −1.33698 | − | 0.115204i | ||||
\(711\) | − | 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 | ||||
\(715\) | 0.936636 | − | 0.576559i | 0.0350282 | − | 0.0215621i | ||||
\(716\) | −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 | \(0.792258\pi\) | |||||||
\(720\) | 14.5704 | − | 31.9067i | 0.543007 | − | 1.18909i | ||||
\(721\) | 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 | ||||
\(725\) | −8.45542 | + | 2.78488i | −0.314026 | + | 0.103428i | ||||
\(726\) | −6.01150 | − | 40.4157i | −0.223108 | − | 1.49997i | ||||
\(727\) | −50.5830 | −1.87602 | −0.938010 | − | 0.346609i | \(-0.887333\pi\) | ||||
−0.938010 | + | 0.346609i | \(0.887333\pi\) | |||||||
\(728\) | 16.0767 | + | 33.8868i | 0.595841 | + | 1.25593i | ||||
\(729\) | − | 40.2583i | − | 1.49105i | ||||||
\(730\) | −4.39213 | + | 50.9722i | −0.162560 | + | 1.88657i | ||||
\(731\) | 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 | \(-0.698456\pi\) |
0.811859 | + | 0.583854i | \(0.198456\pi\) | |||||||
\(734\) | −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 | \(0.546918\pi\) | |||||||
\(740\) | 14.2162 | − | 0.878314i | 0.522598 | − | 0.0322875i | ||||
\(741\) | 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 | \(-0.570031\pi\) | ||||
−0.218239 | + | 0.975895i | \(0.570031\pi\) | |||||||
\(744\) | 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 | ||||
\(750\) | −40.4816 | + | 9.57315i | −1.47818 | + | 0.349562i | ||||
\(751\) | 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 | ||||
\(755\) | 24.6806 | − | 15.1924i | 0.898218 | − | 0.552910i | ||||
\(756\) | −8.24913 | + | 15.4625i | −0.300018 | + | 0.562367i | ||||
\(757\) | −11.3218 | − | 11.3218i | −0.411496 | − | 0.411496i | 0.470763 | − | 0.882260i | \(-0.343979\pi\) |
−0.882260 | + | 0.470763i | \(0.843979\pi\) | |||||||
\(758\) | 12.0925 | − | 1.79866i | 0.439219 | − | 0.0653301i | ||||
\(759\) | 1.79246i | 0.0650620i | ||||||||
\(760\) | −16.2333 | − | 10.5438i | −0.588845 | − | 0.382464i | ||||
\(761\) | 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 | ||||
\(765\) | 8.73111 | + | 14.1839i | 0.315674 | + | 0.512821i | ||||
\(766\) | −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 | \(0.604232\pi\) | |||||||
\(770\) | 0.986257 | + | 1.17225i | 0.0355422 | + | 0.0422449i | ||||
\(771\) | −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 | \(-0.0415679\pi\) |
−0.130219 | + | 0.991485i | \(0.541568\pi\) | |||||||
\(774\) | 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 | ||||
\(780\) | 32.3520 | + | 28.5870i | 1.15839 | + | 1.02358i | ||||
\(781\) | 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 | 0.169014 | − | 0.985614i | \(-0.445942\pi\) |
0.985614 | − | 0.169014i | \(-0.0540582\pi\) | |||||||
\(788\) | −8.51174 | + | 15.9548i | −0.303218 | + | 0.568366i | ||||
\(789\) | 9.51731 | − | 9.51731i | 0.338825 | − | 0.338825i | ||||
\(790\) | 0.308331 | − | 3.57829i | 0.0109699 | − | 0.127310i | ||||
\(791\) | 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 | ||||
\(795\) | 24.7324 | + | 40.1786i | 0.877169 | + | 1.42499i | ||||
\(796\) | 11.2058 | − | 3.40895i | 0.397178 | − | 0.120827i | ||||
\(797\) | 1.92658 | − | 1.92658i | 0.0682428 | − | 0.0682428i | −0.672162 | − | 0.740404i | \(-0.734634\pi\) |
0.740404 | + | 0.672162i | \(0.234634\pi\) | |||||||
\(798\) | 33.0644 | + | 24.5019i | 1.17047 | + | 0.867358i | ||||
\(799\) | 4.82225 | 0.170599 | ||||||||
\(800\) | 13.9145 | − | 24.6249i | 0.491952 | − | 0.870622i | ||||
\(801\) | 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 | ||||
\(805\) | 21.5300 | + | 34.9761i | 0.758833 | + | 1.23275i | ||||
\(806\) | −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 | \(-0.659420\pi\) | ||
0.480157 | − | 0.877183i | \(-0.340580\pi\) | |||||||
\(810\) | 1.46211 | − | 16.9683i | 0.0513733 | − | 0.596205i | ||||
\(811\) | 22.9363 | − | 22.9363i | 0.805401 | − | 0.805401i | −0.178533 | − | 0.983934i | \(-0.557135\pi\) |
0.983934 | + | 0.178533i | \(0.0571351\pi\) | |||||||
\(812\) | −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 | ||||
\(820\) | −28.5679 | − | 25.2433i | −0.997633 | − | 0.881533i | ||||
\(821\) | 10.7321 | − | 10.7321i | 0.374551 | − | 0.374551i | −0.494581 | − | 0.869132i | \(-0.664678\pi\) |
0.869132 | + | 0.494581i | \(0.164678\pi\) | |||||||
\(822\) | 6.71678 | − | 0.999064i | 0.234274 | − | 0.0348464i | ||||
\(823\) | −8.56875 | −0.298688 | −0.149344 | − | 0.988785i | \(-0.547716\pi\) | ||||
−0.149344 | + | 0.988785i | \(0.547716\pi\) | |||||||
\(824\) | −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 | \(-0.329758\pi\) |
−0.860355 | + | 0.509695i | \(0.829758\pi\) | |||||||
\(828\) | −38.1377 | + | 11.6020i | −1.32538 | + | 0.403197i | ||||
\(829\) | 0.656708 | + | 0.656708i | 0.0228084 | + | 0.0228084i | 0.718419 | − | 0.695611i | \(-0.244866\pi\) |
−0.695611 | + | 0.718419i | \(0.744866\pi\) | |||||||
\(830\) | 10.8108 | + | 12.8495i | 0.375248 | + | 0.446014i | ||||
\(831\) | 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 | ||||
\(835\) | 0.832439 | + | 1.35232i | 0.0288077 | + | 0.0467990i | ||||
\(836\) | 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 | \(0.0297807\pi\) | ||||
−0.995627 | + | 0.0934225i | \(0.970219\pi\) | |||||||
\(840\) | −32.7546 | + | 50.4292i | −1.13014 | + | 1.73997i | ||||
\(841\) | − | 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 | ||||
\(845\) | −0.883749 | + | 0.544003i | −0.0304019 | + | 0.0187143i | ||||
\(846\) | 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 | ||||||||
\(850\) | 6.03260 | + | 11.9997i | 0.206917 | + | 0.411586i | ||||
\(851\) | −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 | \(-0.114721\pi\) |
−0.352655 | + | 0.935753i | \(0.614721\pi\) | |||||||
\(854\) | 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 | \(-0.861683\pi\) | ||||
−0.907066 | + | 0.420988i | \(0.861683\pi\) | |||||||
\(858\) | −0.269250 | − | 1.81018i | −0.00919203 | − | 0.0617986i | ||||
\(859\) | −10.7609 | + | 10.7609i | −0.367158 | + | 0.367158i | −0.866440 | − | 0.499282i | \(-0.833597\pi\) |
0.499282 | + | 0.866440i | \(0.333597\pi\) | |||||||
\(860\) | 10.1909 | − | 0.629618i | 0.347505 | − | 0.0214698i | ||||
\(861\) | 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 | ||||
\(870\) | −1.27165 | + | 14.7580i | −0.0431130 | + | 0.500342i | ||||
\(871\) | − | 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 | ||||
\(875\) | 40.2605 | − | 3.41242i | 1.36105 | − | 0.115361i | ||||
\(876\) | 75.1083 | + | 40.0696i | 2.53767 | + | 1.35383i | ||||
\(877\) | 25.6041 | − | 25.6041i | 0.864589 | − | 0.864589i | −0.127278 | − | 0.991867i | \(-0.540624\pi\) |
0.991867 | + | 0.127278i | \(0.0406241\pi\) | |||||||
\(878\) | 21.3979 | − | 28.8756i | 0.722143 | − | 0.974506i | ||||
\(879\) | 21.4138 | 0.722268 | ||||||||
\(880\) | −1.12337 | + | 0.419026i | −0.0378689 | + | 0.0141254i | ||||
\(881\) | −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 | \(-0.656275\pi\) |
0.881884 | + | 0.471466i | \(0.156275\pi\) | |||||||
\(884\) | 6.56107 | − | 12.2984i | 0.220673 | − | 0.413639i | ||||
\(885\) | −55.3889 | + | 34.0953i | −1.86188 | + | 1.14610i | ||||
\(886\) | 7.27401 | + | 48.9036i | 0.244375 | + | 1.64295i | ||||
\(887\) | 36.3716 | 1.22124 | 0.610619 | − | 0.791924i | \(-0.290921\pi\) | ||||
0.610619 | + | 0.791924i | \(0.290921\pi\) | |||||||
\(888\) | 7.95765 | − | 22.3239i | 0.267041 | − | 0.749141i | ||||
\(889\) | 10.6322i | 0.356591i | ||||||||
\(890\) | 12.5458 | + | 1.08104i | 0.420536 | + | 0.0362364i | ||||
\(891\) | −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 | ||||
\(900\) | −6.70850 | + | 38.6382i | −0.223617 | + | 1.28794i | ||||
\(901\) | 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 | 0.980203 | + | 0.197996i | \(0.0634432\pi\) |
0.197996 | + | 0.980203i | \(0.436557\pi\) | |||||||
\(908\) | 10.5168 | + | 5.61062i | 0.349012 | + | 0.186195i | ||||
\(909\) | −4.93719 | − | 4.93719i | −0.163756 | − | 0.163756i | ||||
\(910\) | −26.9968 | − | 32.0880i | −0.894936 | − | 1.06371i | ||||
\(911\) | 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 | ||||
\(915\) | 15.1077 | + | 24.5429i | 0.499445 | + | 0.811363i | ||||
\(916\) | −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 | \(0.106744\pi\) | ||||
−0.944296 | + | 0.329097i | \(0.893256\pi\) | |||||||
\(920\) | −31.4427 | + | 6.68084i | −1.03663 | + | 0.220261i | ||||
\(921\) | 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 | ||||
\(925\) | −15.1252 | + | 4.98165i | −0.497315 | + | 0.163796i | ||||
\(926\) | 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 | \(0.442089\pi\) | |||||||
\(930\) | −6.82650 | − | 8.11387i | −0.223850 | − | 0.266064i | ||||
\(931\) | −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 | \(-0.295476\pi\) | ||||
0.599225 | + | 0.800581i | \(0.295476\pi\) | |||||||
\(938\) | 45.0295 | − | 6.69777i | 1.47027 | − | 0.218690i | ||||
\(939\) | −47.7014 | + | 47.7014i | −1.55668 | + | 1.55668i | ||||
\(940\) | 8.50831 | + | 7.51815i | 0.277510 | + | 0.245215i | ||||
\(941\) | −26.8618 | − | 26.8618i | −0.875671 | − | 0.875671i | 0.117412 | − | 0.993083i | \(-0.462540\pi\) |
−0.993083 | + | 0.117412i | \(0.962540\pi\) | |||||||
\(942\) | 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 | −0.504433 | + | 0.863451i | \(0.668299\pi\) |
−0.863451 | + | 0.504433i | \(0.831701\pi\) | |||||||
\(948\) | −5.27266 | − | 2.81292i | −0.171248 | − | 0.0913593i | ||||
\(949\) | −41.9772 | + | 41.9772i | −1.36264 | + | 1.36264i | ||||
\(950\) | 20.5461 | + | 6.79892i | 0.666602 | + | 0.220586i | ||||
\(951\) | 3.51971i | 0.114135i | ||||||||
\(952\) | 18.2879 | + | 6.51896i | 0.592714 | + | 0.211281i | ||||
\(953\) | 5.32619 | 0.172532 | 0.0862661 | − | 0.996272i | \(-0.472506\pi\) | ||||
0.0862661 | + | 0.996272i | \(0.472506\pi\) | |||||||
\(954\) | 43.9951 | − | 6.54390i | 1.42439 | − | 0.211866i | ||||
\(955\) | −22.1870 | − | 36.0434i | −0.717953 | − | 1.16634i | ||||
\(956\) | 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 | ||||||||
\(960\) | −28.5695 | − | 37.3993i | −0.922075 | − | 1.20706i | ||||
\(961\) | −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 | ||||
\(965\) | −40.7274 | + | 25.0703i | −1.31106 | + | 0.807041i | ||||
\(966\) | 67.5964 | − | 10.0544i | 2.17488 | − | 0.323495i | ||||
\(967\) | 29.9668 | 0.963667 | 0.481833 | − | 0.876263i | \(-0.339971\pi\) | ||||
0.481833 | + | 0.876263i | \(0.339971\pi\) | |||||||
\(968\) | −29.2586 | − | 10.4296i | −0.940406 | − | 0.335220i | ||||
\(969\) | − | 15.2942i | − | 0.491320i | ||||||
\(970\) | 32.4645 | + | 2.79737i | 1.04237 | + | 0.0898182i | ||||
\(971\) | 0.750872 | − | 0.750872i | 0.0240966 | − | 0.0240966i | −0.694956 | − | 0.719052i | \(-0.744576\pi\) |
0.719052 | + | 0.694956i | \(0.244576\pi\) | |||||||
\(972\) | −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 | ||||
\(980\) | 17.9464 | − | 20.3100i | 0.573277 | − | 0.648779i | ||||
\(981\) | −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 | \(-0.433409\pi\) | ||||
0.207680 | + | 0.978197i | \(0.433409\pi\) | |||||||
\(984\) | −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 | ||||
\(990\) | 1.27206 | − | 1.07023i | 0.0404288 | − | 0.0340142i | ||||
\(991\) | 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 | ||||
\(995\) | −11.1519 | + | 6.86467i | −0.353538 | + | 0.217625i | ||||
\(996\) | 26.7317 | − | 8.13215i | 0.847026 | − | 0.257677i | ||||
\(997\) | −21.2387 | − | 21.2387i | −0.672637 | − | 0.672637i | 0.285686 | − | 0.958323i | \(-0.407778\pi\) |
−0.958323 | + | 0.285686i | \(0.907778\pi\) | |||||||
\(998\) | −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.29.7 | yes | 16 | |
3.2 | odd | 2 | 720.2.bm.f.109.2 | 16 | |||
4.3 | odd | 2 | 320.2.q.c.209.7 | 16 | |||
5.2 | odd | 4 | 400.2.l.i.301.3 | 16 | |||
5.3 | odd | 4 | 400.2.l.i.301.6 | 16 | |||
5.4 | even | 2 | inner | 80.2.q.c.29.2 | ✓ | 16 | |
8.3 | odd | 2 | 640.2.q.f.289.2 | 16 | |||
8.5 | even | 2 | 640.2.q.e.289.7 | 16 | |||
15.14 | odd | 2 | 720.2.bm.f.109.7 | 16 | |||
16.3 | odd | 4 | 640.2.q.f.609.7 | 16 | |||
16.5 | even | 4 | inner | 80.2.q.c.69.2 | yes | 16 | |
16.11 | odd | 4 | 320.2.q.c.49.2 | 16 | |||
16.13 | even | 4 | 640.2.q.e.609.2 | 16 | |||
20.3 | even | 4 | 1600.2.l.h.401.7 | 16 | |||
20.7 | even | 4 | 1600.2.l.h.401.2 | 16 | |||
20.19 | odd | 2 | 320.2.q.c.209.2 | 16 | |||
40.19 | odd | 2 | 640.2.q.f.289.7 | 16 | |||
40.29 | even | 2 | 640.2.q.e.289.2 | 16 | |||
48.5 | odd | 4 | 720.2.bm.f.469.7 | 16 | |||
80.19 | odd | 4 | 640.2.q.f.609.2 | 16 | |||
80.27 | even | 4 | 1600.2.l.h.1201.2 | 16 | |||
80.29 | even | 4 | 640.2.q.e.609.7 | 16 | |||
80.37 | odd | 4 | 400.2.l.i.101.3 | 16 | |||
80.43 | even | 4 | 1600.2.l.h.1201.7 | 16 | |||
80.53 | odd | 4 | 400.2.l.i.101.6 | 16 | |||
80.59 | odd | 4 | 320.2.q.c.49.7 | 16 | |||
80.69 | even | 4 | inner | 80.2.q.c.69.7 | yes | 16 | |
240.149 | odd | 4 | 720.2.bm.f.469.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
80.2.q.c.29.2 | ✓ | 16 | 5.4 | even | 2 | inner | |
80.2.q.c.29.7 | yes | 16 | 1.1 | even | 1 | trivial | |
80.2.q.c.69.2 | yes | 16 | 16.5 | even | 4 | inner | |
80.2.q.c.69.7 | yes | 16 | 80.69 | even | 4 | inner | |
320.2.q.c.49.2 | 16 | 16.11 | odd | 4 | |||
320.2.q.c.49.7 | 16 | 80.59 | odd | 4 | |||
320.2.q.c.209.2 | 16 | 20.19 | odd | 2 | |||
320.2.q.c.209.7 | 16 | 4.3 | odd | 2 | |||
400.2.l.i.101.3 | 16 | 80.37 | odd | 4 | |||
400.2.l.i.101.6 | 16 | 80.53 | odd | 4 | |||
400.2.l.i.301.3 | 16 | 5.2 | odd | 4 | |||
400.2.l.i.301.6 | 16 | 5.3 | odd | 4 | |||
640.2.q.e.289.2 | 16 | 40.29 | even | 2 | |||
640.2.q.e.289.7 | 16 | 8.5 | even | 2 | |||
640.2.q.e.609.2 | 16 | 16.13 | even | 4 | |||
640.2.q.e.609.7 | 16 | 80.29 | even | 4 | |||
640.2.q.f.289.2 | 16 | 8.3 | odd | 2 | |||
640.2.q.f.289.7 | 16 | 40.19 | odd | 2 | |||
640.2.q.f.609.2 | 16 | 80.19 | odd | 4 | |||
640.2.q.f.609.7 | 16 | 16.3 | odd | 4 | |||
720.2.bm.f.109.2 | 16 | 3.2 | odd | 2 | |||
720.2.bm.f.109.7 | 16 | 15.14 | odd | 2 | |||
720.2.bm.f.469.2 | 16 | 240.149 | odd | 4 | |||
720.2.bm.f.469.7 | 16 | 48.5 | odd | 4 | |||
1600.2.l.h.401.2 | 16 | 20.7 | even | 4 | |||
1600.2.l.h.401.7 | 16 | 20.3 | even | 4 | |||
1600.2.l.h.1201.2 | 16 | 80.27 | even | 4 | |||
1600.2.l.h.1201.7 | 16 | 80.43 | even | 4 |