Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [50,2,Mod(11,50)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(50, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("50.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 50 = 2 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 50.d (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.399252010106\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 8.0.58140625.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 3x^{7} + 4x^{6} - 7x^{5} + 11x^{4} + 5x^{3} - 10x^{2} - 25x + 25 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 5 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Root | \(-0.357358 - 1.86824i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 50.11 |
Dual form | 50.2.d.b.41.2 |
$q$-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 \(\left(\mathbb{Z}/50\mathbb{Z}\right)^\times\).
\(n\) | \(27\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | + | 0.587785i | −0.572061 | + | 0.415627i | ||||
\(3\) | 0.529876 | − | 1.63079i | 0.305924 | − | 0.941538i | −0.673407 | − | 0.739272i | \(-0.735170\pi\) |
0.979331 | − | 0.202265i | \(-0.0648303\pi\) | |||||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | 2.02373 | + | 0.951057i | 0.905040 | + | 0.425325i | ||||
\(6\) | 0.529876 | + | 1.63079i | 0.216321 | + | 0.665768i | ||||
\(7\) | −2.77447 | −1.04865 | −0.524325 | − | 0.851518i | \(-0.675682\pi\) | ||||
−0.524325 | + | 0.851518i | \(0.675682\pi\) | |||||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | 0.0483405 | + | 0.0351215i | 0.0161135 | + | 0.0117072i | ||||
\(10\) | −2.19625 | + | 0.420099i | −0.694515 | + | 0.132847i | ||||
\(11\) | −2.24459 | + | 1.63079i | −0.676770 | + | 0.491702i | −0.872284 | − | 0.488999i | \(-0.837362\pi\) |
0.195515 | + | 0.980701i | \(0.437362\pi\) | |||||||
\(12\) | −1.38723 | − | 1.00788i | −0.400460 | − | 0.290951i | ||||
\(13\) | −4.59343 | − | 3.33732i | −1.27399 | − | 0.925606i | −0.274633 | − | 0.961549i | \(-0.588556\pi\) |
−0.999354 | + | 0.0359433i | \(0.988556\pi\) | |||||||
\(14\) | 2.24459 | − | 1.63079i | 0.599892 | − | 0.435847i | ||||
\(15\) | 2.62330 | − | 2.79634i | 0.677334 | − | 0.722012i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 1.59343 | + | 4.90406i | 0.386462 | + | 1.18941i | 0.935414 | + | 0.353555i | \(0.115027\pi\) |
−0.548951 | + | 0.835854i | \(0.684973\pi\) | |||||||
\(18\) | −0.0597522 | −0.0140837 | ||||||||
\(19\) | 0.436451 | + | 1.34326i | 0.100129 | + | 0.308164i | 0.988556 | − | 0.150852i | \(-0.0482018\pi\) |
−0.888428 | + | 0.459017i | \(0.848202\pi\) | |||||||
\(20\) | 1.52988 | − | 1.63079i | 0.342091 | − | 0.364656i | ||||
\(21\) | −1.47012 | + | 4.52458i | −0.320807 | + | 0.987343i | ||||
\(22\) | 0.857358 | − | 2.63868i | 0.182789 | − | 0.562567i | ||||
\(23\) | 0.529876 | − | 0.384978i | 0.110487 | − | 0.0802734i | −0.531170 | − | 0.847265i | \(-0.678247\pi\) |
0.641657 | + | 0.766992i | \(0.278247\pi\) | |||||||
\(24\) | 1.71472 | 0.350015 | ||||||||
\(25\) | 3.19098 | + | 3.84937i | 0.638197 | + | 0.769873i | ||||
\(26\) | 5.67779 | 1.11351 | ||||||||
\(27\) | 4.24459 | − | 3.08388i | 0.816872 | − | 0.593492i | ||||
\(28\) | −0.857358 | + | 2.63868i | −0.162025 | + | 0.498663i | ||||
\(29\) | 1.26594 | − | 3.89618i | 0.235080 | − | 0.723502i | −0.762031 | − | 0.647541i | \(-0.775798\pi\) |
0.997111 | − | 0.0759609i | \(-0.0242024\pi\) | |||||||
\(30\) | −0.478647 | + | 3.80423i | −0.0873886 | + | 0.694553i | ||||
\(31\) | −2.20239 | − | 6.77827i | −0.395562 | − | 1.21741i | −0.928523 | − | 0.371274i | \(-0.878921\pi\) |
0.532961 | − | 0.846140i | \(-0.321079\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 1.47012 | + | 4.52458i | 0.255916 | + | 0.787628i | ||||
\(34\) | −4.17164 | − | 3.03088i | −0.715431 | − | 0.519791i | ||||
\(35\) | −5.61478 | − | 2.63868i | −0.949071 | − | 0.446018i | ||||
\(36\) | 0.0483405 | − | 0.0351215i | 0.00805676 | − | 0.00585358i | ||||
\(37\) | 0.847416 | + | 0.615684i | 0.139314 | + | 0.101218i | 0.655260 | − | 0.755404i | \(-0.272559\pi\) |
−0.515945 | + | 0.856622i | \(0.672559\pi\) | |||||||
\(38\) | −1.14264 | − | 0.830178i | −0.185361 | − | 0.134673i | ||||
\(39\) | −7.87642 | + | 5.72255i | −1.26124 | + | 0.916342i | ||||
\(40\) | −0.279141 | + | 2.21858i | −0.0441361 | + | 0.350788i | ||||
\(41\) | −7.36789 | − | 5.35309i | −1.15067 | − | 0.836012i | −0.162101 | − | 0.986774i | \(-0.551827\pi\) |
−0.988570 | + | 0.150762i | \(0.951827\pi\) | |||||||
\(42\) | −1.47012 | − | 4.52458i | −0.226845 | − | 0.698157i | ||||
\(43\) | 9.24660 | 1.41009 | 0.705047 | − | 0.709161i | \(-0.250926\pi\) | ||||
0.705047 | + | 0.709161i | \(0.250926\pi\) | |||||||
\(44\) | 0.857358 | + | 2.63868i | 0.129252 | + | 0.397795i | ||||
\(45\) | 0.0644258 | + | 0.117051i | 0.00960403 | + | 0.0174489i | ||||
\(46\) | −0.202395 | + | 0.622907i | −0.0298415 | + | 0.0918426i | ||||
\(47\) | −0.857358 | + | 2.63868i | −0.125058 | + | 0.384890i | −0.993912 | − | 0.110179i | \(-0.964857\pi\) |
0.868853 | + | 0.495070i | \(0.164857\pi\) | |||||||
\(48\) | −1.38723 | + | 1.00788i | −0.200230 | + | 0.145476i | ||||
\(49\) | 0.697669 | 0.0996670 | ||||||||
\(50\) | −4.84416 | − | 1.23859i | −0.685068 | − | 0.175163i | ||||
\(51\) | 8.84181 | 1.23810 | ||||||||
\(52\) | −4.59343 | + | 3.33732i | −0.636994 | + | 0.462803i | ||||
\(53\) | −0.162577 | + | 0.500362i | −0.0223317 | + | 0.0687299i | −0.961601 | − | 0.274450i | \(-0.911504\pi\) |
0.939270 | + | 0.343180i | \(0.111504\pi\) | |||||||
\(54\) | −1.62129 | + | 4.98982i | −0.220630 | + | 0.679028i | ||||
\(55\) | −6.09343 | + | 1.16555i | −0.821637 | + | 0.157163i | ||||
\(56\) | −0.857358 | − | 2.63868i | −0.114569 | − | 0.352608i | ||||
\(57\) | 2.42184 | 0.320780 | ||||||||
\(58\) | 1.26594 | + | 3.89618i | 0.166227 | + | 0.511593i | ||||
\(59\) | 3.05975 | + | 2.22304i | 0.398346 | + | 0.289415i | 0.768867 | − | 0.639409i | \(-0.220821\pi\) |
−0.370521 | + | 0.928824i | \(0.620821\pi\) | |||||||
\(60\) | −1.84883 | − | 3.35903i | −0.238683 | − | 0.433648i | ||||
\(61\) | 8.76365 | − | 6.36716i | 1.12207 | − | 0.815232i | 0.137549 | − | 0.990495i | \(-0.456078\pi\) |
0.984522 | + | 0.175263i | \(0.0560776\pi\) | |||||||
\(62\) | 5.76594 | + | 4.18920i | 0.732276 | + | 0.532029i | ||||
\(63\) | −0.134119 | − | 0.0974433i | −0.0168974 | − | 0.0122767i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −6.12188 | − | 11.1224i | −0.759326 | − | 1.37957i | ||||
\(66\) | −3.84883 | − | 2.79634i | −0.473759 | − | 0.344206i | ||||
\(67\) | −1.33600 | − | 4.11180i | −0.163219 | − | 0.502336i | 0.835682 | − | 0.549214i | \(-0.185073\pi\) |
−0.998901 | + | 0.0468778i | \(0.985073\pi\) | |||||||
\(68\) | 5.15643 | 0.625309 | ||||||||
\(69\) | −0.347049 | − | 1.06811i | −0.0417798 | − | 0.128585i | ||||
\(70\) | 6.09343 | − | 1.16555i | 0.728304 | − | 0.139310i | ||||
\(71\) | −4.09343 | + | 12.5983i | −0.485800 | + | 1.49514i | 0.345018 | + | 0.938596i | \(0.387873\pi\) |
−0.830819 | + | 0.556543i | \(0.812127\pi\) | |||||||
\(72\) | −0.0184644 | + | 0.0568277i | −0.00217606 | + | 0.00669721i | ||||
\(73\) | −3.40859 | + | 2.47648i | −0.398945 | + | 0.289850i | −0.769111 | − | 0.639115i | \(-0.779301\pi\) |
0.370166 | + | 0.928966i | \(0.379301\pi\) | |||||||
\(74\) | −1.04746 | −0.121765 | ||||||||
\(75\) | 7.96834 | − | 3.16414i | 0.920105 | − | 0.365363i | ||||
\(76\) | 1.41238 | 0.162012 | ||||||||
\(77\) | 6.22754 | − | 4.52458i | 0.709695 | − | 0.515623i | ||||
\(78\) | 3.00852 | − | 9.25928i | 0.340648 | − | 1.04841i | ||||
\(79\) | −3.05975 | + | 9.41695i | −0.344249 | + | 1.05949i | 0.617736 | + | 0.786386i | \(0.288050\pi\) |
−0.961985 | + | 0.273104i | \(0.911950\pi\) | |||||||
\(80\) | −1.07822 | − | 1.95894i | −0.120548 | − | 0.219016i | ||||
\(81\) | −2.72466 | − | 8.38563i | −0.302740 | − | 0.931737i | ||||
\(82\) | 9.10722 | 1.00572 | ||||||||
\(83\) | 1.44497 | + | 4.44717i | 0.158606 | + | 0.488141i | 0.998508 | − | 0.0545976i | \(-0.0173876\pi\) |
−0.839902 | + | 0.542738i | \(0.817388\pi\) | |||||||
\(84\) | 3.84883 | + | 2.79634i | 0.419942 | + | 0.305106i | ||||
\(85\) | −1.43937 | + | 11.4399i | −0.156122 | + | 1.24084i | ||||
\(86\) | −7.48066 | + | 5.43502i | −0.806660 | + | 0.586073i | ||||
\(87\) | −5.68305 | − | 4.12898i | −0.609287 | − | 0.442673i | ||||
\(88\) | −2.24459 | − | 1.63079i | −0.239274 | − | 0.173843i | ||||
\(89\) | 7.43002 | − | 5.39823i | 0.787581 | − | 0.572211i | −0.119664 | − | 0.992814i | \(-0.538182\pi\) |
0.907245 | + | 0.420603i | \(0.138182\pi\) | |||||||
\(90\) | −0.120922 | − | 0.0568277i | −0.0127463 | − | 0.00599017i | ||||
\(91\) | 12.7443 | + | 9.25928i | 1.33597 | + | 0.970637i | ||||
\(92\) | −0.202395 | − | 0.622907i | −0.0211011 | − | 0.0649425i | ||||
\(93\) | −12.2209 | −1.26725 | ||||||||
\(94\) | −0.857358 | − | 2.63868i | −0.0884297 | − | 0.272159i | ||||
\(95\) | −0.394254 | + | 3.13348i | −0.0404496 | + | 0.321488i | ||||
\(96\) | 0.529876 | − | 1.63079i | 0.0540803 | − | 0.166442i | ||||
\(97\) | −0.0278640 | + | 0.0857567i | −0.00282917 | + | 0.00870727i | −0.952461 | − | 0.304660i | \(-0.901457\pi\) |
0.949632 | + | 0.313367i | \(0.101457\pi\) | |||||||
\(98\) | −0.564426 | + | 0.410079i | −0.0570156 | + | 0.0414243i | ||||
\(99\) | −0.165781 | −0.0166616 | ||||||||
\(100\) | 4.64703 | − | 1.84529i | 0.464703 | − | 0.184529i | ||||
\(101\) | −7.90632 | −0.786709 | −0.393354 | − | 0.919387i | \(-0.628685\pi\) | ||||
−0.393354 | + | 0.919387i | \(0.628685\pi\) | |||||||
\(102\) | −7.15318 | + | 5.19709i | −0.708270 | + | 0.514588i | ||||
\(103\) | 2.42091 | − | 7.45079i | 0.238539 | − | 0.734148i | −0.758093 | − | 0.652146i | \(-0.773869\pi\) |
0.996632 | − | 0.0820014i | \(-0.0261312\pi\) | |||||||
\(104\) | 1.75453 | − | 5.39990i | 0.172046 | − | 0.529503i | ||||
\(105\) | −7.27826 | + | 7.75836i | −0.710286 | + | 0.757138i | ||||
\(106\) | −0.162577 | − | 0.500362i | −0.0157909 | − | 0.0485994i | ||||
\(107\) | −10.2220 | −0.988194 | −0.494097 | − | 0.869407i | \(-0.664501\pi\) | ||||
−0.494097 | + | 0.869407i | \(0.664501\pi\) | |||||||
\(108\) | −1.62129 | − | 4.98982i | −0.156009 | − | 0.480145i | ||||
\(109\) | −3.16400 | − | 2.29878i | −0.303056 | − | 0.220183i | 0.425855 | − | 0.904791i | \(-0.359973\pi\) |
−0.728911 | + | 0.684608i | \(0.759973\pi\) | |||||||
\(110\) | 4.24459 | − | 4.52458i | 0.404706 | − | 0.431401i | ||||
\(111\) | 1.45308 | − | 1.05572i | 0.137920 | − | 0.100205i | ||||
\(112\) | 2.24459 | + | 1.63079i | 0.212094 | + | 0.154095i | ||||
\(113\) | 5.15785 | + | 3.74740i | 0.485210 | + | 0.352526i | 0.803339 | − | 0.595522i | \(-0.203055\pi\) |
−0.318129 | + | 0.948047i | \(0.603055\pi\) | |||||||
\(114\) | −1.95931 | + | 1.42352i | −0.183506 | + | 0.133325i | ||||
\(115\) | 1.43846 | − | 0.275149i | 0.134137 | − | 0.0256578i | ||||
\(116\) | −3.31428 | − | 2.40797i | −0.307724 | − | 0.223574i | ||||
\(117\) | −0.104837 | − | 0.322656i | −0.00969220 | − | 0.0298295i | ||||
\(118\) | −3.78206 | −0.348167 | ||||||||
\(119\) | −4.42091 | − | 13.6062i | −0.405264 | − | 1.24727i | ||||
\(120\) | 3.47012 | + | 1.63079i | 0.316778 | + | 0.148870i | ||||
\(121\) | −1.02048 | + | 3.14070i | −0.0927706 | + | 0.285519i | ||||
\(122\) | −3.34742 | + | 10.3023i | −0.303061 | + | 0.932725i | ||||
\(123\) | −12.6338 | + | 9.17902i | −1.13915 | + | 0.827644i | ||||
\(124\) | −7.12710 | −0.640032 | ||||||||
\(125\) | 2.79673 | + | 10.8249i | 0.250147 | + | 0.968208i | ||||
\(126\) | 0.165781 | 0.0147689 | ||||||||
\(127\) | −7.72525 | + | 5.61272i | −0.685505 | + | 0.498049i | −0.875179 | − | 0.483798i | \(-0.839257\pi\) |
0.189674 | + | 0.981847i | \(0.439257\pi\) | |||||||
\(128\) | 0.309017 | − | 0.951057i | 0.0273135 | − | 0.0840623i | ||||
\(129\) | 4.89955 | − | 15.0793i | 0.431382 | − | 1.32766i | ||||
\(130\) | 11.4903 | + | 5.39990i | 1.00777 | + | 0.473602i | ||||
\(131\) | 1.73026 | + | 5.32519i | 0.151173 | + | 0.465264i | 0.997753 | − | 0.0669981i | \(-0.0213421\pi\) |
−0.846580 | + | 0.532262i | \(0.821342\pi\) | |||||||
\(132\) | 4.75742 | 0.414080 | ||||||||
\(133\) | −1.21092 | − | 3.72682i | −0.105000 | − | 0.323156i | ||||
\(134\) | 3.49771 | + | 2.54123i | 0.302156 | + | 0.219529i | ||||
\(135\) | 11.5229 | − | 2.20409i | 0.991730 | − | 0.189698i | ||||
\(136\) | −4.17164 | + | 3.03088i | −0.357715 | + | 0.259895i | ||||
\(137\) | −6.45931 | − | 4.69296i | −0.551856 | − | 0.400947i | 0.276613 | − | 0.960981i | \(-0.410788\pi\) |
−0.828469 | + | 0.560035i | \(0.810788\pi\) | |||||||
\(138\) | 0.908587 | + | 0.660127i | 0.0773440 | + | 0.0561937i | ||||
\(139\) | 17.8699 | − | 12.9832i | 1.51571 | − | 1.10122i | 0.552140 | − | 0.833751i | \(-0.313811\pi\) |
0.963565 | − | 0.267473i | \(-0.0861887\pi\) | |||||||
\(140\) | −4.24459 | + | 4.52458i | −0.358733 | + | 0.382396i | ||||
\(141\) | 3.84883 | + | 2.79634i | 0.324130 | + | 0.235494i | ||||
\(142\) | −4.09343 | − | 12.5983i | −0.343513 | − | 1.05722i | ||||
\(143\) | 15.7528 | 1.31732 | ||||||||
\(144\) | −0.0184644 | − | 0.0568277i | −0.00153870 | − | 0.00473564i | ||||
\(145\) | 6.26741 | − | 6.68083i | 0.520480 | − | 0.554813i | ||||
\(146\) | 1.30196 | − | 4.00703i | 0.107751 | − | 0.331624i | ||||
\(147\) | 0.369678 | − | 1.13775i | 0.0304905 | − | 0.0938402i | ||||
\(148\) | 0.847416 | − | 0.615684i | 0.0696572 | − | 0.0506089i | ||||
\(149\) | 4.18401 | 0.342768 | 0.171384 | − | 0.985204i | \(-0.445176\pi\) | ||||
0.171384 | + | 0.985204i | \(0.445176\pi\) | |||||||
\(150\) | −4.58669 | + | 7.24351i | −0.374501 | + | 0.591430i | ||||
\(151\) | −0.331561 | −0.0269821 | −0.0134910 | − | 0.999909i | \(-0.504294\pi\) | ||||
−0.0134910 | + | 0.999909i | \(0.504294\pi\) | |||||||
\(152\) | −1.14264 | + | 0.830178i | −0.0926805 | + | 0.0673364i | ||||
\(153\) | −0.0952107 | + | 0.293028i | −0.00769733 | + | 0.0236899i | ||||
\(154\) | −2.37871 | + | 7.32092i | −0.191682 | + | 0.589936i | ||||
\(155\) | 1.98946 | − | 15.8120i | 0.159798 | − | 1.27005i | ||||
\(156\) | 3.00852 | + | 9.25928i | 0.240875 | + | 0.741336i | ||||
\(157\) | 3.60750 | 0.287910 | 0.143955 | − | 0.989584i | \(-0.454018\pi\) | ||||
0.143955 | + | 0.989584i | \(0.454018\pi\) | |||||||
\(158\) | −3.05975 | − | 9.41695i | −0.243421 | − | 0.749172i | ||||
\(159\) | 0.729839 | + | 0.530259i | 0.0578800 | + | 0.0420523i | ||||
\(160\) | 2.02373 | + | 0.951057i | 0.159990 | + | 0.0751876i | ||||
\(161\) | −1.47012 | + | 1.06811i | −0.115862 | + | 0.0841787i | ||||
\(162\) | 7.13324 | + | 5.18260i | 0.560440 | + | 0.407184i | ||||
\(163\) | −4.12101 | − | 2.99409i | −0.322782 | − | 0.234515i | 0.414580 | − | 0.910013i | \(-0.363929\pi\) |
−0.737362 | + | 0.675498i | \(0.763929\pi\) | |||||||
\(164\) | −7.36789 | + | 5.35309i | −0.575336 | + | 0.418006i | ||||
\(165\) | −1.32799 | + | 10.5547i | −0.103384 | + | 0.821682i | ||||
\(166\) | −3.78299 | − | 2.74850i | −0.293617 | − | 0.213325i | ||||
\(167\) | 6.44699 | + | 19.8418i | 0.498883 | + | 1.53540i | 0.810817 | + | 0.585300i | \(0.199023\pi\) |
−0.311934 | + | 0.950104i | \(0.600977\pi\) | |||||||
\(168\) | −4.75742 | −0.367043 | ||||||||
\(169\) | 5.94464 | + | 18.2957i | 0.457280 | + | 1.40736i | ||||
\(170\) | −5.55975 | − | 10.1011i | −0.426414 | − | 0.774723i | ||||
\(171\) | −0.0260789 | + | 0.0802625i | −0.00199430 | + | 0.00613783i | ||||
\(172\) | 2.85736 | − | 8.79404i | 0.217871 | − | 0.670539i | ||||
\(173\) | 9.69826 | − | 7.04620i | 0.737345 | − | 0.535713i | −0.154533 | − | 0.987988i | \(-0.549387\pi\) |
0.891879 | + | 0.452275i | \(0.149387\pi\) | |||||||
\(174\) | 7.02464 | 0.532537 | ||||||||
\(175\) | −8.85328 | − | 10.6799i | −0.669245 | − | 0.807328i | ||||
\(176\) | 2.77447 | 0.209133 | ||||||||
\(177\) | 5.24660 | − | 3.81188i | 0.394359 | − | 0.286518i | ||||
\(178\) | −2.83802 | + | 8.73452i | −0.212718 | + | 0.654680i | ||||
\(179\) | −2.63942 | + | 8.12330i | −0.197279 | + | 0.607164i | 0.802663 | + | 0.596433i | \(0.203416\pi\) |
−0.999942 | + | 0.0107309i | \(0.996584\pi\) | |||||||
\(180\) | 0.131231 | − | 0.0251018i | 0.00978137 | − | 0.00187098i | ||||
\(181\) | 2.41912 | + | 7.44529i | 0.179812 | + | 0.553404i | 0.999820 | − | 0.0189471i | \(-0.00603140\pi\) |
−0.820009 | + | 0.572351i | \(0.806031\pi\) | |||||||
\(182\) | −15.7528 | −1.16768 | ||||||||
\(183\) | −5.73987 | − | 17.6655i | −0.424303 | − | 1.30587i | ||||
\(184\) | 0.529876 | + | 0.384978i | 0.0390630 | + | 0.0283809i | ||||
\(185\) | 1.12939 | + | 2.05192i | 0.0830346 | + | 0.150860i | ||||
\(186\) | 9.88695 | − | 7.18329i | 0.724946 | − | 0.526704i | ||||
\(187\) | −11.5741 | − | 8.40906i | −0.846381 | − | 0.614932i | ||||
\(188\) | 2.24459 | + | 1.63079i | 0.163704 | + | 0.118938i | ||||
\(189\) | −11.7765 | + | 8.55611i | −0.856613 | + | 0.622366i | ||||
\(190\) | −1.52286 | − | 2.76678i | −0.110480 | − | 0.200723i | ||||
\(191\) | −2.72324 | − | 1.97855i | −0.197047 | − | 0.143163i | 0.484887 | − | 0.874577i | \(-0.338861\pi\) |
−0.681934 | + | 0.731414i | \(0.738861\pi\) | |||||||
\(192\) | 0.529876 | + | 1.63079i | 0.0382405 | + | 0.117692i | ||||
\(193\) | −15.4211 | −1.11004 | −0.555018 | − | 0.831839i | \(-0.687288\pi\) | ||||
−0.555018 | + | 0.831839i | \(0.687288\pi\) | |||||||
\(194\) | −0.0278640 | − | 0.0857567i | −0.00200052 | − | 0.00615697i | ||||
\(195\) | −21.3822 | + | 4.08999i | −1.53121 | + | 0.292891i | ||||
\(196\) | 0.215591 | − | 0.663522i | 0.0153994 | − | 0.0473945i | ||||
\(197\) | 2.72086 | − | 8.37394i | 0.193853 | − | 0.596619i | −0.806135 | − | 0.591732i | \(-0.798444\pi\) |
0.999988 | − | 0.00488692i | \(-0.00155556\pi\) | |||||||
\(198\) | 0.134119 | − | 0.0974433i | 0.00953144 | − | 0.00692500i | ||||
\(199\) | −17.6222 | −1.24920 | −0.624601 | − | 0.780944i | \(-0.714738\pi\) | ||||
−0.624601 | + | 0.780944i | \(0.714738\pi\) | |||||||
\(200\) | −2.67490 | + | 4.22433i | −0.189144 | + | 0.298705i | ||||
\(201\) | −7.41340 | −0.522901 | ||||||||
\(202\) | 6.39635 | − | 4.64722i | 0.450046 | − | 0.326977i | ||||
\(203\) | −3.51232 | + | 10.8098i | −0.246517 | + | 0.758700i | ||||
\(204\) | 2.73227 | − | 8.40906i | 0.191297 | − | 0.588752i | ||||
\(205\) | −9.81955 | − | 17.8405i | −0.685827 | − | 1.24603i | ||||
\(206\) | 2.42091 | + | 7.45079i | 0.168673 | + | 0.519121i | ||||
\(207\) | 0.0391355 | 0.00272010 | ||||||||
\(208\) | 1.75453 | + | 5.39990i | 0.121655 | + | 0.374415i | ||||
\(209\) | −3.17022 | − | 2.30330i | −0.219289 | − | 0.159323i | ||||
\(210\) | 1.32799 | − | 10.5547i | 0.0916401 | − | 0.728344i | ||||
\(211\) | −4.93617 | + | 3.58634i | −0.339820 | + | 0.246894i | −0.744586 | − | 0.667527i | \(-0.767353\pi\) |
0.404766 | + | 0.914420i | \(0.367353\pi\) | |||||||
\(212\) | 0.425633 | + | 0.309240i | 0.0292326 | + | 0.0212387i | ||||
\(213\) | 18.3761 | + | 13.3510i | 1.25911 | + | 0.914798i | ||||
\(214\) | 8.26974 | − | 6.00832i | 0.565308 | − | 0.410720i | ||||
\(215\) | 18.7126 | + | 8.79404i | 1.27619 | + | 0.599749i | ||||
\(216\) | 4.24459 | + | 3.08388i | 0.288808 | + | 0.209831i | ||||
\(217\) | 6.11047 | + | 18.8061i | 0.414806 | + | 1.27664i | ||||
\(218\) | 3.91091 | 0.264880 | ||||||||
\(219\) | 2.23250 | + | 6.87092i | 0.150858 | + | 0.464294i | ||||
\(220\) | −0.774467 | + | 6.15537i | −0.0522146 | + | 0.414995i | ||||
\(221\) | 9.04713 | − | 27.8442i | 0.608576 | − | 1.87300i | ||||
\(222\) | −0.555026 | + | 1.70820i | −0.0372509 | + | 0.114647i | ||||
\(223\) | 4.06828 | − | 2.95578i | 0.272432 | − | 0.197933i | −0.443178 | − | 0.896434i | \(-0.646149\pi\) |
0.715610 | + | 0.698500i | \(0.246149\pi\) | |||||||
\(224\) | −2.77447 | −0.185377 | ||||||||
\(225\) | 0.0190585 | + | 0.298152i | 0.00127056 | + | 0.0198768i | ||||
\(226\) | −6.37545 | −0.424089 | ||||||||
\(227\) | 14.4314 | − | 10.4851i | 0.957848 | − | 0.695918i | 0.00519840 | − | 0.999986i | \(-0.498345\pi\) |
0.952650 | + | 0.304069i | \(0.0983453\pi\) | |||||||
\(228\) | 0.748388 | − | 2.30330i | 0.0495632 | − | 0.152540i | ||||
\(229\) | −6.66137 | + | 20.5016i | −0.440195 | + | 1.35478i | 0.447472 | + | 0.894298i | \(0.352324\pi\) |
−0.887668 | + | 0.460485i | \(0.847676\pi\) | |||||||
\(230\) | −1.00201 | + | 1.06811i | −0.0660707 | + | 0.0704289i | ||||
\(231\) | −4.07881 | − | 12.5533i | −0.268366 | − | 0.825946i | ||||
\(232\) | 4.09668 | 0.268960 | ||||||||
\(233\) | 4.54454 | + | 13.9867i | 0.297723 | + | 0.916297i | 0.982293 | + | 0.187350i | \(0.0599899\pi\) |
−0.684570 | + | 0.728947i | \(0.740010\pi\) | |||||||
\(234\) | 0.274467 | + | 0.199412i | 0.0179425 | + | 0.0130360i | ||||
\(235\) | −4.24459 | + | 4.52458i | −0.276887 | + | 0.295151i | ||||
\(236\) | 3.05975 | − | 2.22304i | 0.199173 | − | 0.144708i | ||||
\(237\) | 13.7358 | + | 9.97963i | 0.892235 | + | 0.648247i | ||||
\(238\) | 11.5741 | + | 8.40906i | 0.750236 | + | 0.545079i | ||||
\(239\) | −5.61478 | + | 4.07938i | −0.363190 | + | 0.263873i | −0.754381 | − | 0.656436i | \(-0.772063\pi\) |
0.391192 | + | 0.920309i | \(0.372063\pi\) | |||||||
\(240\) | −3.76594 | + | 0.720350i | −0.243091 | + | 0.0464984i | ||||
\(241\) | −2.67787 | − | 1.94559i | −0.172497 | − | 0.125326i | 0.498187 | − | 0.867070i | \(-0.333999\pi\) |
−0.670684 | + | 0.741743i | \(0.733999\pi\) | |||||||
\(242\) | −1.02048 | − | 3.14070i | −0.0655987 | − | 0.201892i | ||||
\(243\) | 0.620870 | 0.0398288 | ||||||||
\(244\) | −3.34742 | − | 10.3023i | −0.214296 | − | 0.659536i | ||||
\(245\) | 1.41189 | + | 0.663522i | 0.0902026 | + | 0.0423909i | ||||
\(246\) | 4.82570 | − | 14.8520i | 0.307675 | − | 0.946927i | ||||
\(247\) | 2.47807 | − | 7.62672i | 0.157676 | − | 0.485277i | ||||
\(248\) | 5.76594 | − | 4.18920i | 0.366138 | − | 0.266015i | ||||
\(249\) | 8.01806 | 0.508124 | ||||||||
\(250\) | −8.62531 | − | 7.11365i | −0.545513 | − | 0.449906i | ||||
\(251\) | −9.46454 | −0.597397 | −0.298698 | − | 0.954348i | \(-0.596552\pi\) | ||||
−0.298698 | + | 0.954348i | \(0.596552\pi\) | |||||||
\(252\) | −0.134119 | + | 0.0974433i | −0.00844872 | + | 0.00613835i | ||||
\(253\) | −0.561537 | + | 1.72823i | −0.0353036 | + | 0.108653i | ||||
\(254\) | 2.95078 | − | 9.08158i | 0.185149 | − | 0.569829i | ||||
\(255\) | 17.8935 | + | 8.40906i | 1.12053 | + | 0.526596i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −7.07963 | −0.441615 | −0.220808 | − | 0.975317i | \(-0.570869\pi\) | ||||
−0.220808 | + | 0.975317i | \(0.570869\pi\) | |||||||
\(258\) | 4.89955 | + | 15.0793i | 0.305033 | + | 0.938795i | ||||
\(259\) | −2.35113 | − | 1.70820i | −0.146092 | − | 0.106142i | ||||
\(260\) | −12.4698 | + | 2.38523i | −0.773347 | + | 0.147926i | ||||
\(261\) | 0.198036 | − | 0.143881i | 0.0122581 | − | 0.00890604i | ||||
\(262\) | −4.52988 | − | 3.29115i | −0.279857 | − | 0.203328i | ||||
\(263\) | −1.15969 | − | 0.842563i | −0.0715095 | − | 0.0519547i | 0.551456 | − | 0.834204i | \(-0.314072\pi\) |
−0.622966 | + | 0.782249i | \(0.714072\pi\) | |||||||
\(264\) | −3.84883 | + | 2.79634i | −0.236879 | + | 0.172103i | ||||
\(265\) | −0.804885 | + | 0.857977i | −0.0494437 | + | 0.0527051i | ||||
\(266\) | 3.17022 | + | 2.30330i | 0.194379 | + | 0.141225i | ||||
\(267\) | −4.86639 | − | 14.9772i | −0.297818 | − | 0.916590i | ||||
\(268\) | −4.32340 | −0.264094 | ||||||||
\(269\) | −4.41368 | − | 13.5839i | −0.269107 | − | 0.828226i | −0.990719 | − | 0.135928i | \(-0.956598\pi\) |
0.721612 | − | 0.692298i | \(-0.243402\pi\) | |||||||
\(270\) | −8.02665 | + | 8.55611i | −0.488487 | + | 0.520708i | ||||
\(271\) | 9.51325 | − | 29.2788i | 0.577889 | − | 1.77856i | −0.0482363 | − | 0.998836i | \(-0.515360\pi\) |
0.626125 | − | 0.779723i | \(-0.284640\pi\) | |||||||
\(272\) | 1.59343 | − | 4.90406i | 0.0966156 | − | 0.297352i | ||||
\(273\) | 21.8529 | − | 15.8770i | 1.32260 | − | 0.960922i | ||||
\(274\) | 7.98414 | 0.482340 | ||||||||
\(275\) | −13.4400 | − | 3.43643i | −0.810460 | − | 0.207224i | ||||
\(276\) | −1.12307 | −0.0676012 | ||||||||
\(277\) | −2.58051 | + | 1.87485i | −0.155048 | + | 0.112649i | −0.662604 | − | 0.748970i | \(-0.730549\pi\) |
0.507556 | + | 0.861619i | \(0.330549\pi\) | |||||||
\(278\) | −6.82570 | + | 21.0073i | −0.409378 | + | 1.25994i | ||||
\(279\) | 0.131598 | − | 0.405017i | 0.00787856 | − | 0.0242477i | ||||
\(280\) | 0.774467 | − | 6.15537i | 0.0462833 | − | 0.367854i | ||||
\(281\) | 6.30053 | + | 19.3910i | 0.375858 | + | 1.15677i | 0.942898 | + | 0.333081i | \(0.108088\pi\) |
−0.567040 | + | 0.823690i | \(0.691912\pi\) | |||||||
\(282\) | −4.75742 | −0.283300 | ||||||||
\(283\) | −4.10897 | − | 12.6461i | −0.244253 | − | 0.751733i | −0.995758 | − | 0.0920063i | \(-0.970672\pi\) |
0.751506 | − | 0.659727i | \(-0.229328\pi\) | |||||||
\(284\) | 10.7167 | + | 7.78616i | 0.635921 | + | 0.462023i | ||||
\(285\) | 4.90115 | + | 2.30330i | 0.290319 | + | 0.136436i | ||||
\(286\) | −12.7443 | + | 9.25928i | −0.753587 | + | 0.547513i | ||||
\(287\) | 20.4420 | + | 14.8520i | 1.20665 | + | 0.876684i | ||||
\(288\) | 0.0483405 | + | 0.0351215i | 0.00284849 | + | 0.00206955i | ||||
\(289\) | −7.75751 | + | 5.63616i | −0.456324 | + | 0.331539i | ||||
\(290\) | −1.14355 | + | 9.08880i | −0.0671516 | + | 0.533713i | ||||
\(291\) | 0.125087 | + | 0.0908809i | 0.00733272 | + | 0.00532753i | ||||
\(292\) | 1.30196 | + | 4.00703i | 0.0761917 | + | 0.234494i | ||||
\(293\) | −26.0420 | −1.52139 | −0.760696 | − | 0.649108i | \(-0.775142\pi\) | ||||
−0.760696 | + | 0.649108i | \(0.775142\pi\) | |||||||
\(294\) | 0.369678 | + | 1.13775i | 0.0215601 | + | 0.0663550i | ||||
\(295\) | 4.07788 | + | 7.40883i | 0.237423 | + | 0.431359i | ||||
\(296\) | −0.323684 | + | 0.996198i | −0.0188138 | + | 0.0579028i | ||||
\(297\) | −4.49821 | + | 13.8441i | −0.261013 | + | 0.803315i | ||||
\(298\) | −3.38494 | + | 2.45930i | −0.196084 | + | 0.142464i | ||||
\(299\) | −3.71874 | −0.215060 | ||||||||
\(300\) | −0.546923 | − | 8.55611i | −0.0315766 | − | 0.493987i | ||||
\(301\) | −25.6544 | −1.47869 | ||||||||
\(302\) | 0.268239 | − | 0.194887i | 0.0154354 | − | 0.0112145i | ||||
\(303\) | −4.18937 | + | 12.8936i | −0.240673 | + | 0.740716i | ||||
\(304\) | 0.436451 | − | 1.34326i | 0.0250322 | − | 0.0770411i | ||||
\(305\) | 23.7908 | − | 4.55071i | 1.36226 | − | 0.260573i | ||||
\(306\) | −0.0952107 | − | 0.293028i | −0.00544283 | − | 0.0167513i | ||||
\(307\) | 25.1000 | 1.43253 | 0.716267 | − | 0.697826i | \(-0.245849\pi\) | ||||
0.716267 | + | 0.697826i | \(0.245849\pi\) | |||||||
\(308\) | −2.37871 | − | 7.32092i | −0.135540 | − | 0.417148i | ||||
\(309\) | −10.8679 | − | 7.89599i | −0.618253 | − | 0.449187i | ||||
\(310\) | 7.68456 | + | 13.9616i | 0.436453 | + | 0.792964i | ||||
\(311\) | −0.585185 | + | 0.425162i | −0.0331828 | + | 0.0241087i | −0.604253 | − | 0.796792i | \(-0.706528\pi\) |
0.571070 | + | 0.820901i | \(0.306528\pi\) | |||||||
\(312\) | −7.87642 | − | 5.72255i | −0.445914 | − | 0.323976i | ||||
\(313\) | −17.4879 | − | 12.7057i | −0.988477 | − | 0.718170i | −0.0288898 | − | 0.999583i | \(-0.509197\pi\) |
−0.959587 | + | 0.281412i | \(0.909197\pi\) | |||||||
\(314\) | −2.91853 | + | 2.12043i | −0.164702 | + | 0.119663i | ||||
\(315\) | −0.178747 | − | 0.324754i | −0.0100713 | − | 0.0182978i | ||||
\(316\) | 8.01054 | + | 5.81999i | 0.450628 | + | 0.327400i | ||||
\(317\) | −5.81992 | − | 17.9119i | −0.326879 | − | 1.00603i | −0.970585 | − | 0.240758i | \(-0.922604\pi\) |
0.643706 | − | 0.765273i | \(-0.277396\pi\) | |||||||
\(318\) | −0.902131 | −0.0505890 | ||||||||
\(319\) | 3.51232 | + | 10.8098i | 0.196652 | + | 0.605233i | ||||
\(320\) | −2.19625 | + | 0.420099i | −0.122774 | + | 0.0234842i | ||||
\(321\) | −5.41637 | + | 16.6699i | −0.302312 | + | 0.930422i | ||||
\(322\) | 0.561537 | − | 1.72823i | 0.0312933 | − | 0.0963107i | ||||
\(323\) | −5.89196 | + | 4.28076i | −0.327837 | + | 0.238188i | ||||
\(324\) | −8.81717 | −0.489843 | ||||||||
\(325\) | −1.81098 | − | 28.3311i | −0.100455 | − | 1.57153i | ||||
\(326\) | 5.09385 | 0.282122 | ||||||||
\(327\) | −5.42535 | + | 3.94175i | −0.300023 | + | 0.217979i | ||||
\(328\) | 2.81428 | − | 8.66148i | 0.155393 | − | 0.478250i | ||||
\(329\) | 2.37871 | − | 7.32092i | 0.131143 | − | 0.403615i | ||||
\(330\) | −5.12953 | − | 9.31951i | −0.282371 | − | 0.513022i | ||||
\(331\) | 5.21494 | + | 16.0499i | 0.286639 | + | 0.882185i | 0.985903 | + | 0.167320i | \(0.0535115\pi\) |
−0.699263 | + | 0.714864i | \(0.746489\pi\) | |||||||
\(332\) | 4.67603 | 0.256631 | ||||||||
\(333\) | 0.0193408 | + | 0.0595250i | 0.00105987 | + | 0.00326195i | ||||
\(334\) | −16.8784 | − | 12.2629i | −0.923546 | − | 0.670996i | ||||
\(335\) | 1.20684 | − | 9.59180i | 0.0659366 | − | 0.524056i | ||||
\(336\) | 3.84883 | − | 2.79634i | 0.209971 | − | 0.152553i | ||||
\(337\) | −15.6562 | − | 11.3749i | −0.852845 | − | 0.619628i | 0.0730841 | − | 0.997326i | \(-0.476716\pi\) |
−0.925929 | + | 0.377698i | \(0.876716\pi\) | |||||||
\(338\) | −15.5633 | − | 11.3074i | −0.846530 | − | 0.615040i | ||||
\(339\) | 8.84425 | − | 6.42572i | 0.480353 | − | 0.348997i | ||||
\(340\) | 10.4352 | + | 4.90406i | 0.565930 | + | 0.265960i | ||||
\(341\) | 15.9974 | + | 11.6228i | 0.866309 | + | 0.629410i | ||||
\(342\) | −0.0260789 | − | 0.0802625i | −0.00141018 | − | 0.00434010i | ||||
\(343\) | 17.4856 | 0.944134 | ||||||||
\(344\) | 2.85736 | + | 8.79404i | 0.154058 | + | 0.474143i | ||||
\(345\) | 0.313496 | − | 2.49163i | 0.0168781 | − | 0.134145i | ||||
\(346\) | −3.70441 | + | 11.4010i | −0.199150 | + | 0.612921i | ||||
\(347\) | −2.79311 | + | 8.59630i | −0.149942 | + | 0.461473i | −0.997613 | − | 0.0690480i | \(-0.978004\pi\) |
0.847672 | + | 0.530521i | \(0.178004\pi\) | |||||||
\(348\) | −5.68305 | + | 4.12898i | −0.304644 | + | 0.221337i | ||||
\(349\) | 36.7305 | 1.96614 | 0.983068 | − | 0.183240i | \(-0.0586584\pi\) | ||||
0.983068 | + | 0.183240i | \(0.0586584\pi\) | |||||||
\(350\) | 13.4400 | + | 3.43643i | 0.718396 | + | 0.183685i | ||||
\(351\) | −29.7891 | −1.59002 | ||||||||
\(352\) | −2.24459 | + | 1.63079i | −0.119637 | + | 0.0869214i | ||||
\(353\) | 5.67779 | − | 17.4744i | 0.302198 | − | 0.930070i | −0.678510 | − | 0.734591i | \(-0.737374\pi\) |
0.980708 | − | 0.195479i | \(-0.0626261\pi\) | |||||||
\(354\) | −2.00402 | + | 6.16775i | −0.106513 | + | 0.327812i | ||||
\(355\) | −20.2657 | + | 21.6024i | −1.07559 | + | 1.14654i | ||||
\(356\) | −2.83802 | − | 8.73452i | −0.150415 | − | 0.462928i | ||||
\(357\) | −24.5313 | −1.29834 | ||||||||
\(358\) | −2.63942 | − | 8.12330i | −0.139498 | − | 0.429330i | ||||
\(359\) | 19.7609 | + | 14.3572i | 1.04294 | + | 0.757742i | 0.970858 | − | 0.239657i | \(-0.0770348\pi\) |
0.0720846 | + | 0.997399i | \(0.477035\pi\) | |||||||
\(360\) | −0.0914135 | + | 0.0974433i | −0.00481791 | + | 0.00513572i | ||||
\(361\) | 13.7575 | − | 9.99539i | 0.724078 | − | 0.526073i | ||||
\(362\) | −6.33334 | − | 4.60144i | −0.332873 | − | 0.241846i | ||||
\(363\) | 4.58111 | + | 3.32837i | 0.240446 | + | 0.174694i | ||||
\(364\) | 12.7443 | − | 9.25928i | 0.667983 | − | 0.485318i | ||||
\(365\) | −9.25334 | + | 1.76998i | −0.484342 | + | 0.0926450i | ||||
\(366\) | 15.0272 | + | 10.9179i | 0.785482 | + | 0.570686i | ||||
\(367\) | 4.48768 | + | 13.8117i | 0.234255 | + | 0.720963i | 0.997219 | + | 0.0745221i | \(0.0237431\pi\) |
−0.762964 | + | 0.646441i | \(0.776257\pi\) | |||||||
\(368\) | −0.654963 | −0.0341423 | ||||||||
\(369\) | −0.168160 | − | 0.517542i | −0.00875404 | − | 0.0269422i | ||||
\(370\) | −2.11979 | − | 0.996198i | −0.110202 | − | 0.0517898i | ||||
\(371\) | 0.451065 | − | 1.38824i | 0.0234182 | − | 0.0720737i | ||||
\(372\) | −3.77648 | + | 11.6228i | −0.195801 | + | 0.602615i | ||||
\(373\) | 18.8410 | − | 13.6888i | 0.975549 | − | 0.708778i | 0.0188399 | − | 0.999823i | \(-0.494003\pi\) |
0.956710 | + | 0.291044i | \(0.0940027\pi\) | |||||||
\(374\) | 14.3064 | 0.739764 | ||||||||
\(375\) | 19.1351 | + | 1.17497i | 0.988130 | + | 0.0606753i | ||||
\(376\) | −2.77447 | −0.143082 | ||||||||
\(377\) | −18.8178 | + | 13.6719i | −0.969166 | + | 0.704140i | ||||
\(378\) | 4.49821 | − | 13.8441i | 0.231363 | − | 0.712063i | ||||
\(379\) | 8.84332 | − | 27.2169i | 0.454251 | − | 1.39804i | −0.417762 | − | 0.908556i | \(-0.637185\pi\) |
0.872013 | − | 0.489483i | \(-0.162815\pi\) | |||||||
\(380\) | 2.85829 | + | 1.34326i | 0.146627 | + | 0.0689076i | ||||
\(381\) | 5.05975 | + | 15.5723i | 0.259219 | + | 0.797794i | ||||
\(382\) | 3.36611 | 0.172225 | ||||||||
\(383\) | −5.13454 | − | 15.8025i | −0.262363 | − | 0.807469i | −0.992289 | − | 0.123944i | \(-0.960446\pi\) |
0.729927 | − | 0.683526i | \(-0.239554\pi\) | |||||||
\(384\) | −1.38723 | − | 1.00788i | −0.0707920 | − | 0.0514334i | ||||
\(385\) | 16.9060 | − | 3.23378i | 0.861610 | − | 0.164809i | ||||
\(386\) | 12.4759 | − | 9.06430i | 0.635008 | − | 0.461361i | ||||
\(387\) | 0.446986 | + | 0.324754i | 0.0227216 | + | 0.0165082i | ||||
\(388\) | 0.0729490 | + | 0.0530006i | 0.00370343 | + | 0.00269070i | ||||
\(389\) | −21.3392 | + | 15.5039i | −1.08194 | + | 0.786077i | −0.978021 | − | 0.208508i | \(-0.933139\pi\) |
−0.103922 | + | 0.994585i | \(0.533139\pi\) | |||||||
\(390\) | 14.8945 | − | 15.8770i | 0.754215 | − | 0.803965i | ||||
\(391\) | 2.73227 | + | 1.98511i | 0.138177 | + | 0.100391i | ||||
\(392\) | 0.215591 | + | 0.663522i | 0.0108890 | + | 0.0335129i | ||||
\(393\) | 9.60109 | 0.484311 | ||||||||
\(394\) | 2.72086 | + | 8.37394i | 0.137075 | + | 0.421873i | ||||
\(395\) | −15.1482 | + | 16.1474i | −0.762187 | + | 0.812463i | ||||
\(396\) | −0.0512290 | + | 0.157667i | −0.00257435 | + | 0.00792305i | ||||
\(397\) | −5.53406 | + | 17.0321i | −0.277747 | + | 0.854816i | 0.710733 | + | 0.703462i | \(0.248363\pi\) |
−0.988480 | + | 0.151354i | \(0.951637\pi\) | |||||||
\(398\) | 14.2566 | − | 10.3580i | 0.714620 | − | 0.519202i | ||||
\(399\) | −6.71930 | −0.336386 | ||||||||
\(400\) | −0.318958 | − | 4.98982i | −0.0159479 | − | 0.249491i | ||||
\(401\) | 32.0164 | 1.59882 | 0.799411 | − | 0.600785i | \(-0.205145\pi\) | ||||
0.799411 | + | 0.600785i | \(0.205145\pi\) | |||||||
\(402\) | 5.99757 | − | 4.35749i | 0.299132 | − | 0.217332i | ||||
\(403\) | −12.5047 | + | 38.4856i | −0.622905 | + | 1.91710i | ||||
\(404\) | −2.44319 | + | 7.51936i | −0.121553 | + | 0.374102i | ||||
\(405\) | 2.46123 | − | 19.5616i | 0.122300 | − | 0.972022i | ||||
\(406\) | −3.51232 | − | 10.8098i | −0.174314 | − | 0.536482i | ||||
\(407\) | −2.90615 | −0.144053 | ||||||||
\(408\) | 2.73227 | + | 8.40906i | 0.135268 | + | 0.416311i | ||||
\(409\) | −14.5901 | − | 10.6003i | −0.721435 | − | 0.524153i | 0.165407 | − | 0.986225i | \(-0.447106\pi\) |
−0.886842 | + | 0.462072i | \(0.847106\pi\) | |||||||
\(410\) | 18.4306 | + | 8.66148i | 0.910221 | + | 0.427760i | ||||
\(411\) | −11.0759 | + | 8.04709i | −0.546332 | + | 0.396934i | ||||
\(412\) | −6.33802 | − | 4.60484i | −0.312252 | − | 0.226864i | ||||
\(413\) | −8.48918 | − | 6.16775i | −0.417725 | − | 0.303495i | ||||
\(414\) | −0.0316613 | + | 0.0230033i | −0.00155607 | + | 0.00113055i | ||||
\(415\) | −1.30527 | + | 10.3741i | −0.0640733 | + | 0.509246i | ||||
\(416\) | −4.59343 | − | 3.33732i | −0.225211 | − | 0.163626i | ||||
\(417\) | −11.7041 | − | 36.0216i | −0.573153 | − | 1.76398i | ||||
\(418\) | 3.91861 | 0.191666 | ||||||||
\(419\) | −6.03511 | − | 18.5742i | −0.294834 | − | 0.907407i | −0.983277 | − | 0.182116i | \(-0.941705\pi\) |
0.688443 | − | 0.725291i | \(-0.258295\pi\) | |||||||
\(420\) | 5.12953 | + | 9.31951i | 0.250295 | + | 0.454745i | ||||
\(421\) | −6.04242 | + | 18.5967i | −0.294490 | + | 0.906346i | 0.688903 | + | 0.724854i | \(0.258093\pi\) |
−0.983392 | + | 0.181492i | \(0.941907\pi\) | |||||||
\(422\) | 1.88545 | − | 5.80281i | 0.0917822 | − | 0.282477i | ||||
\(423\) | −0.134119 | + | 0.0974433i | −0.00652110 | + | 0.00473786i | ||||
\(424\) | −0.526111 | −0.0255502 | ||||||||
\(425\) | −13.7929 | + | 21.7825i | −0.669055 | + | 1.05660i | ||||
\(426\) | −22.7142 | −1.10050 | ||||||||
\(427\) | −24.3145 | + | 17.6655i | −1.17666 | + | 0.854893i | ||||
\(428\) | −3.15876 | + | 9.72166i | −0.152684 | + | 0.469914i | ||||
\(429\) | 8.34705 | − | 25.6896i | 0.402999 | − | 1.24030i | ||||
\(430\) | −20.3079 | + | 3.88449i | −0.979332 | + | 0.187327i | ||||
\(431\) | −6.55002 | − | 20.1589i | −0.315503 | − | 0.971019i | −0.975547 | − | 0.219792i | \(-0.929462\pi\) |
0.660044 | − | 0.751227i | \(-0.270538\pi\) | |||||||
\(432\) | −5.24660 | −0.252427 | ||||||||
\(433\) | 2.64199 | + | 8.13122i | 0.126966 | + | 0.390761i | 0.994254 | − | 0.107045i | \(-0.0341389\pi\) |
−0.867288 | + | 0.497807i | \(0.834139\pi\) | |||||||
\(434\) | −15.9974 | − | 11.6228i | −0.767901 | − | 0.557913i | ||||
\(435\) | −7.57408 | − | 13.7609i | −0.363150 | − | 0.659783i | ||||
\(436\) | −3.16400 | + | 2.29878i | −0.151528 | + | 0.110091i | ||||
\(437\) | 0.748388 | + | 0.543736i | 0.0358003 | + | 0.0260104i | ||||
\(438\) | −5.84475 | − | 4.24646i | −0.279273 | − | 0.202904i | ||||
\(439\) | 22.7102 | − | 16.4999i | 1.08390 | − | 0.787499i | 0.105541 | − | 0.994415i | \(-0.466343\pi\) |
0.978359 | + | 0.206916i | \(0.0663427\pi\) | |||||||
\(440\) | −2.99148 | − | 5.43502i | −0.142613 | − | 0.259104i | ||||
\(441\) | 0.0337257 | + | 0.0245031i | 0.00160598 | + | 0.00116682i | ||||
\(442\) | 9.04713 | + | 27.8442i | 0.430328 | + | 1.32441i | ||||
\(443\) | −33.0546 | −1.57047 | −0.785236 | − | 0.619197i | \(-0.787458\pi\) | ||||
−0.785236 | + | 0.619197i | \(0.787458\pi\) | |||||||
\(444\) | −0.555026 | − | 1.70820i | −0.0263404 | − | 0.0810673i | ||||
\(445\) | 20.1704 | − | 3.85820i | 0.956169 | − | 0.182896i | ||||
\(446\) | −1.55394 | + | 4.78254i | −0.0735813 | + | 0.226460i | ||||
\(447\) | 2.21701 | − | 6.82325i | 0.104861 | − | 0.322729i | ||||
\(448\) | 2.24459 | − | 1.63079i | 0.106047 | − | 0.0770476i | ||||
\(449\) | −37.1628 | −1.75382 | −0.876911 | − | 0.480652i | \(-0.840400\pi\) | ||||
−0.876911 | + | 0.480652i | \(0.840400\pi\) | |||||||
\(450\) | −0.190668 | − | 0.230008i | −0.00898819 | − | 0.0108427i | ||||
\(451\) | 25.2677 | 1.18981 | ||||||||
\(452\) | 5.15785 | − | 3.74740i | 0.242605 | − | 0.176263i | ||||
\(453\) | −0.175686 | + | 0.540707i | −0.00825446 | + | 0.0254046i | ||||
\(454\) | −5.51232 | + | 16.9652i | −0.258706 | + | 0.796215i | ||||
\(455\) | 16.9850 | + | 30.8589i | 0.796267 | + | 1.44669i | ||||
\(456\) | 0.748388 | + | 2.30330i | 0.0350465 | + | 0.107862i | ||||
\(457\) | 29.3139 | 1.37125 | 0.685624 | − | 0.727956i | \(-0.259529\pi\) | ||||
0.685624 | + | 0.727956i | \(0.259529\pi\) | |||||||
\(458\) | −6.66137 | − | 20.5016i | −0.311265 | − | 0.957976i | ||||
\(459\) | 21.8870 | + | 15.9018i | 1.02160 | + | 0.742233i | ||||
\(460\) | 0.182827 | − | 1.45309i | 0.00852435 | − | 0.0677504i | ||||
\(461\) | −7.20624 | + | 5.23564i | −0.335628 | + | 0.243848i | −0.742815 | − | 0.669497i | \(-0.766510\pi\) |
0.407187 | + | 0.913345i | \(0.366510\pi\) | |||||||
\(462\) | 10.6785 | + | 7.75836i | 0.496807 | + | 0.360952i | ||||
\(463\) | 14.7865 | + | 10.7430i | 0.687187 | + | 0.499271i | 0.875734 | − | 0.482793i | \(-0.160378\pi\) |
−0.188547 | + | 0.982064i | \(0.560378\pi\) | |||||||
\(464\) | −3.31428 | + | 2.40797i | −0.153862 | + | 0.111787i | ||||
\(465\) | −24.7319 | − | 11.6228i | −1.14692 | − | 0.538995i | ||||
\(466\) | −11.8978 | − | 8.64424i | −0.551154 | − | 0.400436i | ||||
\(467\) | −11.3360 | − | 34.8886i | −0.524568 | − | 1.61445i | −0.765169 | − | 0.643829i | \(-0.777345\pi\) |
0.240601 | − | 0.970624i | \(-0.422655\pi\) | |||||||
\(468\) | −0.339260 | −0.0156823 | ||||||||
\(469\) | 3.70670 | + | 11.4081i | 0.171160 | + | 0.526775i | ||||
\(470\) | 0.774467 | − | 6.15537i | 0.0357235 | − | 0.283926i | ||||
\(471\) | 1.91153 | − | 5.88308i | 0.0880785 | − | 0.271078i | ||||
\(472\) | −1.16872 | + | 3.59695i | −0.0537948 | + | 0.165563i | ||||
\(473\) | −20.7548 | + | 15.0793i | −0.954309 | + | 0.693346i | ||||
\(474\) | −16.9784 | −0.779842 | ||||||||
\(475\) | −3.77798 | + | 5.96637i | −0.173346 | + | 0.273756i | ||||
\(476\) | −14.3064 | −0.655731 | ||||||||
\(477\) | −0.0254325 | + | 0.0184778i | −0.00116447 | + | 0.000846040i | ||||
\(478\) | 2.14465 | − | 6.60057i | 0.0980942 | − | 0.301903i | ||||
\(479\) | −3.89046 | + | 11.9736i | −0.177760 | + | 0.547088i | −0.999749 | − | 0.0224155i | \(-0.992864\pi\) |
0.821989 | + | 0.569503i | \(0.192864\pi\) | |||||||
\(480\) | 2.62330 | − | 2.79634i | 0.119737 | − | 0.127635i | ||||
\(481\) | −1.83781 | − | 5.65620i | −0.0837969 | − | 0.257900i | ||||
\(482\) | 3.31003 | 0.150768 | ||||||||
\(483\) | 0.962877 | + | 2.96343i | 0.0438124 | + | 0.134841i | ||||
\(484\) | 2.67164 | + | 1.94106i | 0.121438 | + | 0.0882301i | ||||
\(485\) | −0.137949 | + | 0.147048i | −0.00626393 | + | 0.00667712i | ||||
\(486\) | −0.502294 | + | 0.364938i | −0.0227845 | + | 0.0165539i | ||||
\(487\) | 14.8257 | + | 10.7715i | 0.671816 | + | 0.488103i | 0.870633 | − | 0.491934i | \(-0.163710\pi\) |
−0.198816 | + | 0.980037i | \(0.563710\pi\) | |||||||
\(488\) | 8.76365 | + | 6.36716i | 0.396712 | + | 0.288228i | ||||
\(489\) | −7.06635 | + | 5.13401i | −0.319552 | + | 0.232168i | ||||
\(490\) | −1.53226 | + | 0.293090i | −0.0692202 | + | 0.0132405i | ||||
\(491\) | −17.5595 | − | 12.7577i | −0.792448 | − | 0.575747i | 0.116241 | − | 0.993221i | \(-0.462915\pi\) |
−0.908689 | + | 0.417474i | \(0.862915\pi\) | |||||||
\(492\) | 4.82570 | + | 14.8520i | 0.217559 | + | 0.669578i | ||||
\(493\) | 21.1243 | 0.951389 | ||||||||
\(494\) | 2.47807 | + | 7.62672i | 0.111494 | + | 0.343143i | ||||
\(495\) | −0.335495 | − | 0.157667i | −0.0150794 | − | 0.00708659i | ||||
\(496\) | −2.20239 | + | 6.77827i | −0.0988904 | + | 0.304353i | ||||
\(497\) | 11.3571 | − | 34.9535i | 0.509434 | − | 1.56788i | ||||
\(498\) | −6.48675 | + | 4.71290i | −0.290678 | + | 0.211190i | ||||
\(499\) | 15.8391 | 0.709055 | 0.354527 | − | 0.935046i | \(-0.384642\pi\) | ||||
0.354527 | + | 0.935046i | \(0.384642\pi\) | |||||||
\(500\) | 11.1593 | + | 0.685229i | 0.499060 | + | 0.0306444i | ||||
\(501\) | 35.7739 | 1.59826 | ||||||||
\(502\) | 7.65697 | − | 5.56312i | 0.341748 | − | 0.248294i | ||||
\(503\) | 8.51433 | − | 26.2044i | 0.379635 | − | 1.16840i | −0.560662 | − | 0.828044i | \(-0.689453\pi\) |
0.940298 | − | 0.340353i | \(-0.110547\pi\) | |||||||
\(504\) | 0.0512290 | − | 0.157667i | 0.00228192 | − | 0.00702303i | ||||
\(505\) | −16.0003 | − | 7.51936i | −0.712003 | − | 0.334607i | ||||
\(506\) | −0.561537 | − | 1.72823i | −0.0249634 | − | 0.0768294i | ||||
\(507\) | 32.9864 | 1.46498 | ||||||||
\(508\) | 2.95078 | + | 9.08158i | 0.130920 | + | 0.402930i | ||||
\(509\) | 22.3386 | + | 16.2300i | 0.990142 | + | 0.719380i | 0.959952 | − | 0.280164i | \(-0.0903889\pi\) |
0.0301894 | + | 0.999544i | \(0.490389\pi\) | |||||||
\(510\) | −19.4188 | + | 3.71444i | −0.859881 | + | 0.164478i | ||||
\(511\) | 9.45701 | − | 6.87092i | 0.418354 | − | 0.303952i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | 5.99499 | + | 4.35562i | 0.264685 | + | 0.192305i | ||||
\(514\) | 5.72754 | − | 4.16130i | 0.252631 | − | 0.183547i | ||||
\(515\) | 11.9854 | − | 12.7760i | 0.528139 | − | 0.562977i | ||||
\(516\) | −12.8272 | − | 9.31951i | −0.564686 | − | 0.410268i | ||||
\(517\) | −2.37871 | − | 7.32092i | −0.104616 | − | 0.321974i | ||||
\(518\) | 2.90615 | 0.127689 | ||||||||
\(519\) | −6.35200 | − | 19.5495i | −0.278822 | − | 0.858126i | ||||
\(520\) | 8.68631 | − | 9.25928i | 0.380920 | − | 0.406046i | ||||
\(521\) | 5.28084 | − | 16.2527i | 0.231358 | − | 0.712046i | −0.766226 | − | 0.642571i | \(-0.777868\pi\) |
0.997584 | − | 0.0694747i | \(-0.0221323\pi\) | |||||||
\(522\) | −0.0756429 | + | 0.232805i | −0.00331080 | + | 0.0101896i | ||||
\(523\) | −29.3796 | + | 21.3456i | −1.28468 | + | 0.933376i | −0.999684 | − | 0.0251516i | \(-0.991993\pi\) |
−0.284999 | + | 0.958528i | \(0.591993\pi\) | |||||||
\(524\) | 5.59923 | 0.244604 | ||||||||
\(525\) | −22.1079 | + | 8.77880i | −0.964868 | + | 0.383138i | ||||
\(526\) | 1.43345 | 0.0625016 | ||||||||
\(527\) | 29.7317 | − | 21.6013i | 1.29513 | − | 0.940970i | ||||
\(528\) | 1.47012 | − | 4.52458i | 0.0639789 | − | 0.196907i | ||||
\(529\) | −6.97483 | + | 21.4663i | −0.303253 | + | 0.933318i | ||||
\(530\) | 0.146859 | − | 1.16722i | 0.00637915 | − | 0.0507007i | ||||
\(531\) | 0.0698337 | + | 0.214926i | 0.00303052 | + | 0.00932699i | ||||
\(532\) | −3.91861 | −0.169893 | ||||||||
\(533\) | 15.9789 | + | 49.1780i | 0.692123 | + | 2.13014i | ||||
\(534\) | 12.7404 | + | 9.25642i | 0.551330 | + | 0.400565i | ||||
\(535\) | −20.6865 | − | 9.72166i | −0.894356 | − | 0.420304i | ||||
\(536\) | 3.49771 | − | 2.54123i | 0.151078 | − | 0.109764i | ||||
\(537\) | 11.8488 | + | 8.60868i | 0.511315 | + | 0.371492i | ||||
\(538\) | 11.5552 | + | 8.39532i | 0.498178 | + | 0.361948i | ||||
\(539\) | −1.56598 | + | 1.13775i | −0.0674516 | + | 0.0490064i | ||||
\(540\) | 1.46454 | − | 11.6400i | 0.0630238 | − | 0.500905i | ||||
\(541\) | −20.1742 | − | 14.6574i | −0.867355 | − | 0.630170i | 0.0625209 | − | 0.998044i | \(-0.480086\pi\) |
−0.929876 | + | 0.367873i | \(0.880086\pi\) | |||||||
\(542\) | 9.51325 | + | 29.2788i | 0.408629 | + | 1.25763i | ||||
\(543\) | 13.4235 | 0.576060 | ||||||||
\(544\) | 1.59343 | + | 4.90406i | 0.0683176 | + | 0.210260i | ||||
\(545\) | −4.21681 | − | 7.66125i | −0.180628 | − | 0.328172i | ||||
\(546\) | −8.34705 | + | 25.6896i | −0.357221 | + | 1.09941i | ||||
\(547\) | 2.06176 | − | 6.34546i | 0.0881547 | − | 0.271312i | −0.897255 | − | 0.441513i | \(-0.854442\pi\) |
0.985409 | + | 0.170201i | \(0.0544418\pi\) | |||||||
\(548\) | −6.45931 | + | 4.69296i | −0.275928 | + | 0.200473i | ||||
\(549\) | 0.647264 | 0.0276245 | ||||||||
\(550\) | 12.8930 | − | 5.11968i | 0.549761 | − | 0.218304i | ||||
\(551\) | 5.78609 | 0.246496 | ||||||||
\(552\) | 0.908587 | − | 0.660127i | 0.0386720 | − | 0.0280969i | ||||
\(553\) | 8.48918 | − | 26.1270i | 0.360997 | − | 1.11103i | ||||
\(554\) | 0.985668 | − | 3.03357i | 0.0418770 | − | 0.128884i | ||||
\(555\) | 3.94469 | − | 0.754541i | 0.167443 | − | 0.0320285i | ||||
\(556\) | −6.82570 | − | 21.0073i | −0.289474 | − | 0.890909i | ||||
\(557\) | −20.4328 | −0.865765 | −0.432882 | − | 0.901450i | \(-0.642503\pi\) | ||||
−0.432882 | + | 0.901450i | \(0.642503\pi\) | |||||||
\(558\) | 0.131598 | + | 0.405017i | 0.00557098 | + | 0.0171457i | ||||
\(559\) | −42.4736 | − | 30.8589i | −1.79644 | − | 1.30519i | ||||
\(560\) | 2.99148 | + | 5.43502i | 0.126413 | + | 0.229671i | ||||
\(561\) | −19.8463 | + | 14.4192i | −0.837910 | + | 0.608777i | ||||
\(562\) | −16.4950 | − | 11.9843i | −0.695799 | − | 0.505528i | ||||
\(563\) | 0.487680 | + | 0.354320i | 0.0205532 | + | 0.0149328i | 0.598014 | − | 0.801485i | \(-0.295957\pi\) |
−0.577461 | + | 0.816418i | \(0.695957\pi\) | |||||||
\(564\) | 3.84883 | − | 2.79634i | 0.162065 | − | 0.117747i | ||||
\(565\) | 6.87412 | + | 12.4891i | 0.289196 | + | 0.525422i | ||||
\(566\) | 10.7574 | + | 7.81572i | 0.452168 | + | 0.328519i | ||||
\(567\) | 7.55947 | + | 23.2657i | 0.317468 | + | 0.977066i | ||||
\(568\) | −13.2466 | −0.555815 | ||||||||
\(569\) | 10.4688 | + | 32.2195i | 0.438873 | + | 1.35071i | 0.889065 | + | 0.457781i | \(0.151356\pi\) |
−0.450192 | + | 0.892932i | \(0.648644\pi\) | |||||||
\(570\) | −5.31896 | + | 1.01741i | −0.222787 | + | 0.0426146i | ||||
\(571\) | −1.92521 | + | 5.92520i | −0.0805677 | + | 0.247962i | −0.983225 | − | 0.182399i | \(-0.941614\pi\) |
0.902657 | + | 0.430361i | \(0.141614\pi\) | |||||||
\(572\) | 4.86789 | − | 14.9818i | 0.203537 | − | 0.626422i | ||||
\(573\) | −4.66958 | + | 3.39265i | −0.195074 | + | 0.141730i | ||||
\(574\) | −25.2677 | −1.05465 | ||||||||
\(575\) | 3.17275 | + | 0.811231i | 0.132313 | + | 0.0338307i | ||||
\(576\) | −0.0597522 | −0.00248967 | ||||||||
\(577\) | −3.05893 | + | 2.22244i | −0.127345 | + | 0.0925214i | −0.649634 | − | 0.760247i | \(-0.725078\pi\) |
0.522290 | + | 0.852768i | \(0.325078\pi\) | |||||||
\(578\) | 2.96310 | − | 9.11949i | 0.123249 | − | 0.379321i | ||||
\(579\) | −8.17127 | + | 25.1486i | −0.339587 | + | 1.04514i | ||||
\(580\) | −4.41711 | − | 8.02516i | −0.183410 | − | 0.333226i | ||||
\(581\) | −4.00903 | − | 12.3385i | −0.166323 | − | 0.511889i | ||||
\(582\) | −0.154616 | −0.00640903 | ||||||||
\(583\) | −0.451065 | − | 1.38824i | −0.0186812 | − | 0.0574949i | ||||
\(584\) | −3.40859 | − | 2.47648i | −0.141048 | − | 0.102478i | ||||
\(585\) | 0.0947014 | − | 0.752675i | 0.00391542 | − | 0.0311193i | ||||
\(586\) | 21.0684 | − | 15.3071i | 0.870330 | − | 0.632332i | ||||
\(587\) | −13.2296 | − | 9.61184i | −0.546042 | − | 0.396723i | 0.280282 | − | 0.959918i | \(-0.409572\pi\) |
−0.826324 | + | 0.563195i | \(0.809572\pi\) | |||||||
\(588\) | −0.967829 | − | 0.703169i | −0.0399126 | − | 0.0289982i | ||||
\(589\) | 8.14373 | − | 5.91676i | 0.335556 | − | 0.243796i | ||||
\(590\) | −7.65388 | − | 3.59695i | −0.315105 | − | 0.148084i | ||||
\(591\) | −12.2144 | − | 8.87430i | −0.502435 | − | 0.365040i | ||||
\(592\) | −0.323684 | − | 0.996198i | −0.0133033 | − | 0.0409435i | ||||
\(593\) | 9.53314 | 0.391479 | 0.195740 | − | 0.980656i | \(-0.437289\pi\) | ||||
0.195740 | + | 0.980656i | \(0.437289\pi\) | |||||||
\(594\) | −4.49821 | − | 13.8441i | −0.184564 | − | 0.568030i | ||||
\(595\) | 3.99349 | − | 31.7397i | 0.163717 | − | 1.30120i | ||||
\(596\) | 1.29293 | − | 3.97923i | 0.0529605 | − | 0.162996i | ||||
\(597\) | −9.33756 | + | 28.7381i | −0.382161 | + | 1.17617i | ||||
\(598\) | 3.00852 | − | 2.18582i | 0.123028 | − | 0.0893848i | ||||
\(599\) | −16.0682 | −0.656528 | −0.328264 | − | 0.944586i | \(-0.606464\pi\) | ||||
−0.328264 | + | 0.944586i | \(0.606464\pi\) | |||||||
\(600\) | 5.47163 | + | 6.60057i | 0.223378 | + | 0.269467i | ||||
\(601\) | 15.0380 | 0.613413 | 0.306707 | − | 0.951804i | \(-0.400773\pi\) | ||||
0.306707 | + | 0.951804i | \(0.400773\pi\) | |||||||
\(602\) | 20.7548 | − | 15.0793i | 0.845904 | − | 0.614585i | ||||
\(603\) | 0.0798292 | − | 0.245689i | 0.00325090 | − | 0.0100052i | ||||
\(604\) | −0.102458 | + | 0.315333i | −0.00416896 | + | 0.0128307i | ||||
\(605\) | −5.05216 | + | 5.38541i | −0.205399 | + | 0.218948i | ||||
\(606\) | −4.18937 | − | 12.8936i | −0.170182 | − | 0.523765i | ||||
\(607\) | −44.8348 | −1.81979 | −0.909894 | − | 0.414840i | \(-0.863837\pi\) | ||||
−0.909894 | + | 0.414840i | \(0.863837\pi\) | |||||||
\(608\) | 0.436451 | + | 1.34326i | 0.0177004 | + | 0.0544763i | ||||
\(609\) | 15.7674 | + | 11.4557i | 0.638929 | + | 0.464209i | ||||
\(610\) | −16.5723 | + | 17.6655i | −0.670994 | + | 0.715255i | ||||
\(611\) | 12.7443 | − | 9.25928i | 0.515580 | − | 0.374590i | ||||
\(612\) | 0.249265 | + | 0.181101i | 0.0100759 | + | 0.00732059i | ||||
\(613\) | 12.5793 | + | 9.13937i | 0.508072 | + | 0.369136i | 0.812092 | − | 0.583530i | \(-0.198329\pi\) |
−0.304020 | + | 0.952666i | \(0.598329\pi\) | |||||||
\(614\) | −20.3064 | + | 14.7534i | −0.819498 | + | 0.595400i | ||||
\(615\) | −34.2973 | + | 6.56038i | −1.38300 | + | 0.264540i | ||||
\(616\) | 6.22754 | + | 4.52458i | 0.250915 | + | 0.182300i | ||||
\(617\) | 5.43852 | + | 16.7380i | 0.218946 | + | 0.673848i | 0.998850 | + | 0.0479478i | \(0.0152681\pi\) |
−0.779903 | + | 0.625900i | \(0.784732\pi\) | |||||||
\(618\) | 13.4335 | 0.540373 | ||||||||
\(619\) | −11.5229 | − | 35.4637i | −0.463143 | − | 1.42541i | −0.861303 | − | 0.508091i | \(-0.830351\pi\) |
0.398161 | − | 0.917316i | \(-0.369649\pi\) | |||||||
\(620\) | −14.4233 | − | 6.77827i | −0.579255 | − | 0.272222i | ||||
\(621\) | 1.06188 | − | 3.26814i | 0.0426120 | − | 0.131146i | ||||
\(622\) | 0.223521 | − | 0.687926i | 0.00896236 | − | 0.0275833i | ||||
\(623\) | −20.6144 | + | 14.9772i | −0.825897 | + | 0.600049i | ||||
\(624\) | 9.73579 | 0.389743 | ||||||||
\(625\) | −4.63525 | + | 24.5665i | −0.185410 | + | 0.982661i | ||||
\(626\) | 21.6163 | 0.863960 | ||||||||
\(627\) | −5.43603 | + | 3.94951i | −0.217094 | + | 0.157728i | ||||
\(628\) | 1.11478 | − | 3.43094i | 0.0444845 | − | 0.136909i | ||||
\(629\) | −1.66906 | + | 5.13683i | −0.0665496 | + | 0.204819i | ||||
\(630\) | 0.335495 | + | 0.157667i | 0.0133665 | + | 0.00628159i | ||||
\(631\) | 2.64380 | + | 8.13677i | 0.105248 | + | 0.323920i | 0.989789 | − | 0.142543i | \(-0.0455280\pi\) |
−0.884541 | + | 0.466463i | \(0.845528\pi\) | |||||||
\(632\) | −9.90157 | −0.393863 | ||||||||
\(633\) | 3.23301 | + | 9.95017i | 0.128500 | + | 0.395484i | ||||
\(634\) | 15.2367 | + | 11.0701i | 0.605129 | + | 0.439652i | ||||
\(635\) | −20.9719 | + | 4.01150i | −0.832243 | + | 0.159191i | ||||
\(636\) | 0.729839 | − | 0.530259i | 0.0289400 | − | 0.0210261i | ||||
\(637\) | −3.20469 | − | 2.32834i | −0.126974 | − | 0.0922523i | ||||
\(638\) | −9.19537 | − | 6.68083i | −0.364048 | − | 0.264497i | ||||
\(639\) | −0.640348 | + | 0.465240i | −0.0253318 | + | 0.0184046i | ||||
\(640\) | 1.52988 | − | 1.63079i | 0.0604737 | − | 0.0644627i | ||||
\(641\) | 18.4582 | + | 13.4107i | 0.729055 | + | 0.529690i | 0.889264 | − | 0.457394i | \(-0.151217\pi\) |
−0.160209 | + | 0.987083i | \(0.551217\pi\) | |||||||
\(642\) | −5.41637 | − | 16.6699i | −0.213767 | − | 0.657908i | ||||
\(643\) | 34.7745 | 1.37137 | 0.685686 | − | 0.727898i | \(-0.259503\pi\) | ||||
0.685686 | + | 0.727898i | \(0.259503\pi\) | |||||||
\(644\) | 0.561537 | + | 1.72823i | 0.0221277 | + | 0.0681020i | ||||
\(645\) | 24.2566 | − | 25.8567i | 0.955104 | − | 1.01811i | ||||
\(646\) | 2.25053 | − | 6.92641i | 0.0885459 | − | 0.272516i | ||||
\(647\) | −5.08583 | + | 15.6526i | −0.199945 | + | 0.615366i | 0.799939 | + | 0.600082i | \(0.204865\pi\) |
−0.999883 | + | 0.0152844i | \(0.995135\pi\) | |||||||
\(648\) | 7.13324 | − | 5.18260i | 0.280220 | − | 0.203592i | ||||
\(649\) | −10.4932 | −0.411894 | ||||||||
\(650\) | 18.1177 | + | 21.8559i | 0.710635 | + | 0.857258i | ||||
\(651\) | 33.9066 | 1.32890 | ||||||||
\(652\) | −4.12101 | + | 2.99409i | −0.161391 | + | 0.117257i | ||||
\(653\) | 9.33515 | − | 28.7306i | 0.365313 | − | 1.12432i | −0.584473 | − | 0.811414i | \(-0.698699\pi\) |
0.949785 | − | 0.312903i | \(-0.101301\pi\) | |||||||
\(654\) | 2.07230 | − | 6.37788i | 0.0810333 | − | 0.249395i | ||||
\(655\) | −1.56298 | + | 12.4223i | −0.0610705 | + | 0.485381i | ||||
\(656\) | 2.81428 | + | 8.66148i | 0.109879 | + | 0.338174i | ||||
\(657\) | −0.251751 | −0.00982173 | ||||||||
\(658\) | 2.37871 | + | 7.32092i | 0.0927318 | + | 0.285399i | ||||
\(659\) | 23.0523 | + | 16.7485i | 0.897991 | + | 0.652428i | 0.937949 | − | 0.346773i | \(-0.112723\pi\) |
−0.0399585 | + | 0.999201i | \(0.512723\pi\) | |||||||
\(660\) | 9.62775 | + | 4.52458i | 0.374759 | + | 0.176119i | ||||
\(661\) | −41.0448 | + | 29.8208i | −1.59646 | + | 1.15990i | −0.702562 | + | 0.711622i | \(0.747961\pi\) |
−0.893897 | + | 0.448273i | \(0.852039\pi\) | |||||||
\(662\) | −13.6529 | − | 9.91941i | −0.530635 | − | 0.385529i | ||||
\(663\) | −40.6142 | − | 29.5080i | −1.57733 | − | 1.14599i | ||||
\(664\) | −3.78299 | + | 2.74850i | −0.146809 | + | 0.106663i | ||||
\(665\) | 1.09385 | − | 8.69374i | 0.0424175 | − | 0.337129i | ||||
\(666\) | −0.0506350 | − | 0.0367885i | −0.00196207 | − | 0.00142552i | ||||
\(667\) | −0.829146 | − | 2.55185i | −0.0321047 | − | 0.0988080i | ||||
\(668\) | 20.8629 | 0.807209 | ||||||||
\(669\) | −2.66457 | − | 8.20070i | −0.103018 | − | 0.317057i | ||||
\(670\) | 4.66156 | + | 8.46929i | 0.180092 | + | 0.327197i | ||||
\(671\) | −9.28730 | + | 28.5834i | −0.358532 | + | 1.10345i | ||||
\(672\) | −1.47012 | + | 4.52458i | −0.0567113 | + | 0.174539i | ||||
\(673\) | 16.5401 | − | 12.0171i | 0.637573 | − | 0.463224i | −0.221442 | − | 0.975173i | \(-0.571077\pi\) |
0.859016 | + | 0.511949i | \(0.171077\pi\) | |||||||
\(674\) | 19.3521 | 0.745414 | ||||||||
\(675\) | 25.4154 | + | 6.49839i | 0.978239 | + | 0.250123i | ||||
\(676\) | 19.2373 | 0.739894 | ||||||||
\(677\) | −6.90383 | + | 5.01592i | −0.265336 | + | 0.192778i | −0.712496 | − | 0.701676i | \(-0.752435\pi\) |
0.447160 | + | 0.894454i | \(0.352435\pi\) | |||||||
\(678\) | −3.37820 | + | 10.3970i | −0.129739 | + | 0.399296i | ||||
\(679\) | 0.0773079 | − | 0.237929i | 0.00296680 | − | 0.00913088i | ||||
\(680\) | −11.3248 | + | 2.16621i | −0.434287 | + | 0.0830705i | ||||
\(681\) | −9.45206 | − | 29.0904i | −0.362204 | − | 1.11475i | ||||
\(682\) | −19.7739 | −0.757182 | ||||||||
\(683\) | −15.0085 | − | 46.1913i | −0.574283 | − | 1.76746i | −0.638608 | − | 0.769532i | \(-0.720489\pi\) |
0.0643246 | − | 0.997929i | \(-0.479511\pi\) | |||||||
\(684\) | 0.0682754 | + | 0.0496050i | 0.00261058 | + | 0.00189669i | ||||
\(685\) | −8.60863 | − | 15.6405i | −0.328919 | − | 0.597591i | ||||
\(686\) | −14.1462 | + | 10.2778i | −0.540103 | + | 0.392408i | ||||
\(687\) | 29.9041 | + | 21.7266i | 1.14091 | + | 0.828921i | ||||
\(688\) | −7.48066 | − | 5.43502i | −0.285197 | − | 0.207208i | ||||
\(689\) | 2.41665 | − | 1.75580i | 0.0920671 | − | 0.0668907i | ||||
\(690\) | 1.21092 | + | 2.20004i | 0.0460989 | + | 0.0837540i | ||||
\(691\) | −36.2501 | − | 26.3373i | −1.37902 | − | 1.00192i | −0.996971 | − | 0.0777740i | \(-0.975219\pi\) |
−0.382048 | − | 0.924142i | \(-0.624781\pi\) | |||||||
\(692\) | −3.70441 | − | 11.4010i | −0.140820 | − | 0.433401i | ||||
\(693\) | 0.459953 | 0.0174722 | ||||||||
\(694\) | −2.79311 | − | 8.59630i | −0.106025 | − | 0.326311i | ||||
\(695\) | 48.5117 | − | 9.27932i | 1.84015 | − | 0.351985i | ||||
\(696\) | 2.17073 | − | 6.68083i | 0.0822814 | − | 0.253236i | ||||
\(697\) | 14.5117 | − | 44.6623i | 0.549669 | − | 1.69171i | ||||
\(698\) | −29.7156 | + | 21.5896i | −1.12475 | + | 0.817179i | ||||
\(699\) | 25.2174 | 0.953809 | ||||||||
\(700\) | −12.8930 | + | 5.11968i | −0.487311 | + | 0.193506i | ||||
\(701\) | 2.21913 | 0.0838152 | 0.0419076 | − | 0.999121i | \(-0.486656\pi\) | ||||
0.0419076 | + | 0.999121i | \(0.486656\pi\) | |||||||
\(702\) | 24.0999 | − | 17.5096i | 0.909591 | − | 0.660857i | ||||
\(703\) | −0.457166 | + | 1.40701i | −0.0172424 | + | 0.0530665i | ||||
\(704\) | 0.857358 | − | 2.63868i | 0.0323129 | − | 0.0994488i | ||||
\(705\) | 5.12953 | + | 9.31951i | 0.193189 | + | 0.350993i | ||||
\(706\) | 5.67779 | + | 17.4744i | 0.213686 | + | 0.657659i | ||||
\(707\) | 21.9358 | 0.824982 | ||||||||
\(708\) | −2.00402 | − | 6.16775i | −0.0753158 | − | 0.231798i | ||||
\(709\) | −27.7968 | − | 20.1955i | −1.04393 | − | 0.758459i | −0.0728805 | − | 0.997341i | \(-0.523219\pi\) |
−0.971049 | + | 0.238882i | \(0.923219\pi\) | |||||||
\(710\) | 3.69767 | − | 29.3886i | 0.138771 | − | 1.10293i | ||||
\(711\) | −0.478647 | + | 0.347757i | −0.0179507 | + | 0.0130419i | ||||
\(712\) | 7.43002 | + | 5.39823i | 0.278452 | + | 0.202307i | ||||
\(713\) | −3.77648 | − | 2.74377i | −0.141430 | − | 0.102755i | ||||
\(714\) | 19.8463 | − | 14.4192i | 0.742728 | − | 0.539623i | ||||
\(715\) | 31.8795 | + | 14.9818i | 1.19223 | + | 0.560289i | ||||
\(716\) | 6.91009 | + | 5.02047i | 0.258242 | + | 0.187624i | ||||
\(717\) | 3.67747 | + | 11.3181i | 0.137338 | + | 0.422682i | ||||
\(718\) | −24.4259 | −0.911565 | ||||||||
\(719\) | 3.70511 | + | 11.4032i | 0.138177 | + | 0.425266i | 0.996071 | − | 0.0885618i | \(-0.0282271\pi\) |
−0.857893 | + | 0.513828i | \(0.828227\pi\) | |||||||
\(720\) | 0.0166793 | − | 0.132565i | 0.000621600 | − | 0.00494040i | ||||
\(721\) | −6.71673 | + | 20.6720i | −0.250144 | + | 0.769864i | ||||
\(722\) | −5.25489 | + | 16.1729i | −0.195567 | + | 0.601892i | ||||
\(723\) | −4.59179 | + | 3.33613i | −0.170770 | + | 0.124072i | ||||
\(724\) | 7.82844 | 0.290942 | ||||||||
\(725\) | 19.0374 | − | 7.55955i | 0.707032 | − | 0.280754i | ||||
\(726\) | −5.66256 | −0.210157 | ||||||||
\(727\) | −34.1265 | + | 24.7944i | −1.26568 | + | 0.919573i | −0.999022 | − | 0.0442177i | \(-0.985920\pi\) |
−0.266661 | + | 0.963790i | \(0.585920\pi\) | |||||||
\(728\) | −4.86789 | + | 14.9818i | −0.180416 | + | 0.555264i | ||||
\(729\) | 8.50295 | − | 26.1694i | 0.314924 | − | 0.969237i | ||||
\(730\) | 6.44574 | − | 6.87092i | 0.238568 | − | 0.254304i | ||||
\(731\) | 14.7338 | + | 45.3459i | 0.544948 | + | 1.67718i | ||||
\(732\) | −18.5746 | −0.686537 | ||||||||
\(733\) | −0.0996219 | − | 0.306605i | −0.00367962 | − | 0.0113247i | 0.949200 | − | 0.314674i | \(-0.101895\pi\) |
−0.952879 | + | 0.303349i | \(0.901895\pi\) | |||||||
\(734\) | −11.7489 | − | 8.53607i | −0.433660 | − | 0.315072i | ||||
\(735\) | 1.83020 | − | 1.95092i | 0.0675078 | − | 0.0719608i | ||||
\(736\) | 0.529876 | − | 0.384978i | 0.0195315 | − | 0.0141905i | ||||
\(737\) | 9.70427 | + | 7.05056i | 0.357461 | + | 0.259711i | ||||
\(738\) | 0.440248 | + | 0.319859i | 0.0162057 | + | 0.0117742i | ||||
\(739\) | 4.44942 | − | 3.23269i | 0.163674 | − | 0.118916i | −0.502933 | − | 0.864325i | \(-0.667746\pi\) |
0.666607 | + | 0.745409i | \(0.267746\pi\) | |||||||
\(740\) | 2.30049 | − | 0.440039i | 0.0845678 | − | 0.0161761i | ||||
\(741\) | −11.1245 | − | 8.08244i | −0.408670 | − | 0.296916i | ||||
\(742\) | 0.451065 | + | 1.38824i | 0.0165591 | + | 0.0509638i | ||||
\(743\) | −6.03812 | −0.221517 | −0.110759 | − | 0.993847i | \(-0.535328\pi\) | ||||
−0.110759 | + | 0.993847i | \(0.535328\pi\) | |||||||
\(744\) | −3.77648 | − | 11.6228i | −0.138452 | − | 0.426113i | ||||
\(745\) | 8.46733 | + | 3.97923i | 0.310219 | + | 0.145788i | ||||
\(746\) | −7.19662 | + | 22.1489i | −0.263487 | + | 0.810929i | ||||
\(747\) | −0.0863404 | + | 0.265728i | −0.00315903 | + | 0.00972249i | ||||
\(748\) | −11.5741 | + | 8.40906i | −0.423190 | + | 0.307466i | ||||
\(749\) | 28.3605 | 1.03627 | ||||||||
\(750\) | −16.1712 | + | 10.2967i | −0.590489 | + | 0.375984i | ||||
\(751\) | −13.5719 | −0.495244 | −0.247622 | − | 0.968857i | \(-0.579649\pi\) | ||||
−0.247622 | + | 0.968857i | \(0.579649\pi\) | |||||||
\(752\) | 2.24459 | − | 1.63079i | 0.0818518 | − | 0.0594688i | ||||
\(753\) | −5.01503 | + | 15.4347i | −0.182758 | + | 0.562471i | ||||
\(754\) | 7.18776 | − | 22.1216i | 0.261763 | − | 0.805623i | ||||
\(755\) | −0.670991 | − | 0.315333i | −0.0244199 | − | 0.0114762i | ||||
\(756\) | 4.49821 | + | 13.8441i | 0.163598 | + | 0.503504i | ||||
\(757\) | 33.0661 | 1.20181 | 0.600904 | − | 0.799321i | \(-0.294807\pi\) | ||||
0.600904 | + | 0.799321i | \(0.294807\pi\) | |||||||
\(758\) | 8.84332 | + | 27.2169i | 0.321204 | + | 0.988563i | ||||
\(759\) | 2.52084 | + | 1.83150i | 0.0915008 | + | 0.0664792i | ||||
\(760\) | −3.10195 | + | 0.593341i | −0.112520 | + | 0.0215227i | ||||
\(761\) | −4.19767 | + | 3.04978i | −0.152165 | + | 0.110555i | −0.661263 | − | 0.750154i | \(-0.729979\pi\) |
0.509098 | + | 0.860709i | \(0.329979\pi\) | |||||||
\(762\) | −13.2466 | − | 9.62422i | −0.479874 | − | 0.348649i | ||||
\(763\) | 8.77840 | + | 6.37788i | 0.317799 | + | 0.230895i | ||||
\(764\) | −2.72324 | + | 1.97855i | −0.0985233 | + | 0.0715814i | ||||
\(765\) | −0.471367 | + | 0.502460i | −0.0170423 | + | 0.0181665i | ||||
\(766\) | 13.4424 | + | 9.76647i | 0.485694 | + | 0.352877i | ||||
\(767\) | −6.63575 | − | 20.4227i | −0.239603 | − | 0.737422i | ||||
\(768\) | 1.71472 | 0.0618745 | ||||||||
\(769\) | 10.2191 | + | 31.4512i | 0.368511 | + | 1.13416i | 0.947753 | + | 0.319005i | \(0.103349\pi\) |
−0.579242 | + | 0.815156i | \(0.696651\pi\) | |||||||
\(770\) | −11.7765 | + | 12.5533i | −0.424395 | + | 0.452389i | ||||
\(771\) | −3.75133 | + | 11.5454i | −0.135101 | + | 0.415798i | ||||
\(772\) | −4.76538 | + | 14.6663i | −0.171510 | + | 0.527853i | ||||
\(773\) | 0.914961 | − | 0.664758i | 0.0329088 | − | 0.0239097i | −0.571209 | − | 0.820804i | \(-0.693526\pi\) |
0.604118 | + | 0.796895i | \(0.293526\pi\) | |||||||
\(774\) | −0.552505 | −0.0198594 | ||||||||
\(775\) | 19.0643 | − | 30.1072i | 0.684808 | − | 1.08148i | ||||
\(776\) | −0.0901699 | −0.00323691 | ||||||||
\(777\) | −4.03152 | + | 2.92907i | −0.144630 | + | 0.105080i | ||||
\(778\) | 8.15086 | − | 25.0858i | 0.292223 | − | 0.899369i | ||||
\(779\) | 3.97485 | − | 12.2333i | 0.142414 | − | 0.438305i | ||||
\(780\) | −2.71766 | + | 21.5996i | −0.0973077 | + | 0.773389i | ||||
\(781\) | −11.3571 | − | 34.9535i | −0.406388 | − | 1.25073i | ||||
\(782\) | −3.37727 | −0.120771 | ||||||||
\(783\) | −6.64191 | − | 20.4417i | −0.237362 | − | 0.730526i | ||||
\(784\) | −0.564426 | − | 0.410079i | −0.0201581 | − | 0.0146457i | ||||
\(785\) | 7.30061 | + | 3.43094i | 0.260570 | + | 0.122455i | ||||
\(786\) | −7.76745 | + | 5.64338i | −0.277056 | + | 0.201293i | ||||
\(787\) | −12.7509 | − | 9.26408i | −0.454521 | − | 0.330229i | 0.336857 | − | 0.941556i | \(-0.390636\pi\) |
−0.791378 | + | 0.611327i | \(0.790636\pi\) | |||||||
\(788\) | −7.12330 | − | 5.17538i | −0.253757 | − | 0.184365i | ||||
\(789\) | −1.98854 | + | 1.44476i | −0.0707938 | + | 0.0514347i | ||||
\(790\) | 2.76393 | − | 21.9674i | 0.0983363 | − | 0.781564i | ||||
\(791\) | −14.3103 | − | 10.3970i | −0.508815 | − | 0.369676i | ||||
\(792\) | −0.0512290 | − | 0.157667i | −0.00182034 | − | 0.00560244i | ||||
\(793\) | −61.5044 | −2.18409 | ||||||||
\(794\) | −5.53406 | − | 17.0321i | −0.196396 | − | 0.604446i | ||||
\(795\) | 0.972693 | + | 1.76722i | 0.0344978 | + | 0.0626769i | ||||
\(796\) | −5.44555 | + | 16.7597i | −0.193012 | + | 0.594031i | ||||
\(797\) | −7.15055 | + | 22.0071i | −0.253285 | + | 0.779532i | 0.740877 | + | 0.671640i | \(0.234410\pi\) |
−0.994163 | + | 0.107892i | \(0.965590\pi\) | |||||||
\(798\) | 5.43603 | − | 3.94951i | 0.192433 | − | 0.139811i | ||||
\(799\) | −14.3064 | −0.506122 | ||||||||
\(800\) | 3.19098 | + | 3.84937i | 0.112818 | + | 0.136096i | ||||
\(801\) | 0.548765 | 0.0193897 | ||||||||
\(802\) | −25.9018 | + | 18.8188i | −0.914624 | + | 0.664513i | ||||
\(803\) | 3.61226 | − | 11.1174i | 0.127474 | − | 0.392324i | ||||
\(804\) | −2.29087 | + | 7.05056i | −0.0807927 | + | 0.248654i | ||||
\(805\) | −3.99097 | + | 0.763393i | −0.140663 | + | 0.0269061i | ||||
\(806\) | −12.5047 | − | 38.4856i | −0.440460 | − | 1.35560i | ||||
\(807\) | −24.4912 | −0.862132 | ||||||||
\(808\) | −2.44319 | − | 7.51936i | −0.0859511 | − | 0.264530i | ||||
\(809\) | −27.1345 | − | 19.7143i | −0.953997 | − | 0.693119i | −0.00224811 | − | 0.999997i | \(-0.500716\pi\) |
−0.951749 | + | 0.306878i | \(0.900716\pi\) | |||||||
\(810\) | 9.50682 | + | 17.2723i | 0.334036 | + | 0.606887i | ||||
\(811\) | 9.67796 | − | 7.03145i | 0.339839 | − | 0.246907i | −0.404755 | − | 0.914425i | \(-0.632643\pi\) |
0.744594 | + | 0.667518i | \(0.232643\pi\) | |||||||
\(812\) | 9.19537 | + | 6.68083i | 0.322694 | + | 0.234451i | ||||
\(813\) | −42.7067 | − | 31.0282i | −1.49779 | − | 1.08821i | ||||
\(814\) | 2.35113 | − | 1.70820i | 0.0824070 | − | 0.0598722i | ||||
\(815\) | −5.49227 | − | 9.97854i | −0.192386 | − | 0.349533i | ||||
\(816\) | −7.15318 | − | 5.19709i | −0.250411 | − | 0.181934i | ||||
\(817\) | 4.03569 | + | 12.4206i | 0.141191 | + | 0.434540i | ||||
\(818\) | 18.0344 | 0.630557 | ||||||||
\(819\) | 0.290867 | + | 0.895198i | 0.0101637 | + | 0.0312807i | ||||
\(820\) | −20.0017 | + | 3.82593i | −0.698491 | + | 0.133607i | ||||
\(821\) | −3.30466 | + | 10.1707i | −0.115333 | + | 0.354960i | −0.992016 | − | 0.126109i | \(-0.959751\pi\) |
0.876683 | + | 0.481068i | \(0.159751\pi\) | |||||||
\(822\) | 4.23061 | − | 13.0205i | 0.147559 | − | 0.454141i | ||||
\(823\) | 9.72525 | − | 7.06581i | 0.339001 | − | 0.246299i | −0.405239 | − | 0.914211i | \(-0.632812\pi\) |
0.744240 | + | 0.667912i | \(0.232812\pi\) | |||||||
\(824\) | 7.83422 | 0.272918 | ||||||||
\(825\) | −12.7256 | + | 20.0969i | −0.443049 | + | 0.699684i | ||||
\(826\) | 10.4932 | 0.365105 | ||||||||
\(827\) | 3.34912 | − | 2.43328i | 0.116460 | − | 0.0846133i | −0.528031 | − | 0.849225i | \(-0.677069\pi\) |
0.644491 | + | 0.764612i | \(0.277069\pi\) | |||||||
\(828\) | 0.0120935 | − | 0.0372200i | 0.000420279 | − | 0.00129349i | ||||
\(829\) | −6.28859 | + | 19.3543i | −0.218412 | + | 0.672203i | 0.780482 | + | 0.625178i | \(0.214974\pi\) |
−0.998894 | + | 0.0470242i | \(0.985026\pi\) | |||||||
\(830\) | −5.04178 | − | 9.16007i | −0.175003 | − | 0.317951i | ||||
\(831\) | 1.69014 | + | 5.20171i | 0.0586303 | + | 0.180445i | ||||
\(832\) | 5.67779 | 0.196842 | ||||||||
\(833\) | 1.11168 | + | 3.42141i | 0.0385175 | + | 0.118545i | ||||
\(834\) | 30.6418 | + | 22.2626i | 1.06104 | + | 0.770890i | ||||
\(835\) | −5.82368 | + | 46.2859i | −0.201537 | + | 1.60179i | ||||
\(836\) | −3.17022 | + | 2.30330i | −0.109644 | + | 0.0796614i | ||||
\(837\) | −30.2516 | − | 21.9791i | −1.04565 | − | 0.759708i | ||||
\(838\) | 15.8001 | + | 11.4795i | 0.545806 | + | 0.396552i | ||||
\(839\) | −2.53639 | + | 1.84279i | −0.0875658 | + | 0.0636203i | −0.630707 | − | 0.776021i | \(-0.717235\pi\) |
0.543141 | + | 0.839642i | \(0.317235\pi\) | |||||||
\(840\) | −9.62775 | − | 4.52458i | −0.332189 | − | 0.156113i | ||||
\(841\) | 9.88393 | + | 7.18109i | 0.340825 | + | 0.247624i | ||||
\(842\) | −6.04242 | − | 18.5967i | −0.208236 | − | 0.640883i | ||||
\(843\) | 34.9612 | 1.20413 | ||||||||
\(844\) | 1.88545 | + | 5.80281i | 0.0648998 | + | 0.199741i | ||||
\(845\) | −5.36990 | + | 42.6793i | −0.184730 | + | 1.46821i | ||||
\(846\) | 0.0512290 | − | 0.157667i | 0.00176129 | − | 0.00542069i | ||||
\(847\) | 2.83128 | − | 8.71378i | 0.0972839 | − | 0.299409i | ||||
\(848\) | 0.425633 | − | 0.309240i | 0.0146163 | − | 0.0106194i | ||||
\(849\) | −22.8004 | −0.782508 | ||||||||
\(850\) | −1.64469 | − | 25.7297i | −0.0564123 | − | 0.882520i | ||||
\(851\) | 0.686050 | 0.0235175 | ||||||||
\(852\) | 18.3761 | − | 13.3510i | 0.629556 | − | 0.457399i | ||||
\(853\) | 7.21464 | − | 22.2044i | 0.247025 | − | 0.760263i | −0.748272 | − | 0.663392i | \(-0.769116\pi\) |
0.995297 | − | 0.0968717i | \(-0.0308837\pi\) | |||||||
\(854\) | 9.28730 | − | 28.5834i | 0.317805 | − | 0.978102i | ||||
\(855\) | −0.129111 | + | 0.137627i | −0.00441550 | + | 0.00470676i | ||||
\(856\) | −3.15876 | − | 9.72166i | −0.107964 | − | 0.332280i | ||||
\(857\) | 15.3036 | 0.522762 | 0.261381 | − | 0.965236i | \(-0.415822\pi\) | ||||
0.261381 | + | 0.965236i | \(0.415822\pi\) | |||||||
\(858\) | 8.34705 | + | 25.6896i | 0.284964 | + | 0.877028i | ||||
\(859\) | 2.39576 | + | 1.74062i | 0.0817422 | + | 0.0593892i | 0.627906 | − | 0.778289i | \(-0.283912\pi\) |
−0.546164 | + | 0.837679i | \(0.683912\pi\) | |||||||
\(860\) | 14.1462 | − | 15.0793i | 0.482380 | − | 0.514199i | ||||
\(861\) | 35.0522 | − | 25.4669i | 1.19457 | − | 0.867909i | ||||
\(862\) | 17.1482 | + | 12.4589i | 0.584069 | + | 0.424351i | ||||
\(863\) | 30.5987 | + | 22.2312i | 1.04159 | + | 0.756760i | 0.970595 | − | 0.240717i | \(-0.0773824\pi\) |
0.0709954 | + | 0.997477i | \(0.477382\pi\) | |||||||
\(864\) | 4.24459 | − | 3.08388i | 0.144404 | − | 0.104916i | ||||
\(865\) | 26.3280 | − | 5.03603i | 0.895180 | − | 0.171230i | ||||
\(866\) | −6.91683 | − | 5.02537i | −0.235043 | − | 0.170769i | ||||
\(867\) | 5.08088 | + | 15.6373i | 0.172556 | + | 0.531072i | ||||
\(868\) | 19.7739 | 0.671170 | ||||||||
\(869\) | −8.48918 | − | 26.1270i | −0.287976 | − | 0.886298i | ||||
\(870\) | 14.2160 | + | 6.68083i | 0.481967 | + | 0.226501i | ||||
\(871\) | −7.58555 | + | 23.3459i | −0.257027 | + | 0.791046i | ||||
\(872\) | 1.20854 | − | 3.71950i | 0.0409263 | − | 0.125958i | ||||
\(873\) | −0.00435886 | + | 0.00316690i | −0.000147525 | + | 0.000107183i | ||||
\(874\) | −0.925059 | −0.0312906 | ||||||||
\(875\) | −7.75943 | − | 30.0333i | −0.262317 | − | 1.01531i | ||||
\(876\) | 7.22451 | 0.244094 | ||||||||
\(877\) | 12.6215 | − | 9.17007i | 0.426198 | − | 0.309651i | −0.353929 | − | 0.935272i | \(-0.615154\pi\) |
0.780127 | + | 0.625621i | \(0.215154\pi\) | |||||||
\(878\) | −8.67453 | + | 26.6975i | −0.292751 | + | 0.900996i | ||||
\(879\) | −13.7991 | + | 42.4691i | −0.465430 | + | 1.43245i | ||||
\(880\) | 5.61478 | + | 2.63868i | 0.189274 | + | 0.0889497i | ||||
\(881\) | 0.359812 | + | 1.10739i | 0.0121224 | + | 0.0373089i | 0.956935 | − | 0.290303i | \(-0.0937561\pi\) |
−0.944812 | + | 0.327612i | \(0.893756\pi\) | |||||||
\(882\) | −0.0416872 | −0.00140368 | ||||||||
\(883\) | 15.1063 | + | 46.4925i | 0.508368 | + | 1.56460i | 0.795033 | + | 0.606566i | \(0.207453\pi\) |
−0.286665 | + | 0.958031i | \(0.592547\pi\) | |||||||
\(884\) | −23.6857 | − | 17.2087i | −0.796636 | − | 0.578790i | ||||
\(885\) | 14.2430 | − | 2.72441i | 0.478774 | − | 0.0915800i | ||||
\(886\) | 26.7417 | − | 19.4290i | 0.898406 | − | 0.652730i | ||||
\(887\) | −6.98094 | − | 5.07195i | −0.234397 | − | 0.170299i | 0.464386 | − | 0.885633i | \(-0.346275\pi\) |
−0.698783 | + | 0.715333i | \(0.746275\pi\) | |||||||
\(888\) | 1.45308 | + | 1.05572i | 0.0487621 | + | 0.0354277i | ||||
\(889\) | 21.4335 | − | 15.5723i | 0.718855 | − | 0.522279i | ||||
\(890\) | −14.0504 | + | 14.9772i | −0.470971 | + | 0.502037i | ||||
\(891\) | 19.7909 | + | 14.3790i | 0.663022 | + | 0.481713i | ||||
\(892\) | −1.55394 | − | 4.78254i | −0.0520299 | − | 0.160131i | ||||
\(893\) | −3.91861 | −0.131131 | ||||||||
\(894\) | 2.21701 | + | 6.82325i | 0.0741479 | + | 0.228204i | ||||
\(895\) | −13.0672 | + | 13.9291i | −0.436788 | + | 0.465600i | ||||
\(896\) | −0.857358 | + | 2.63868i | −0.0286423 | + | 0.0881520i | ||||
\(897\) | −1.97047 | + | 6.06449i | −0.0657921 | + | 0.202487i | ||||
\(898\) | 30.0654 | − | 21.8438i | 1.00329 | − | 0.728936i | ||||
\(899\) | −29.1975 | −0.973790 | ||||||||
\(900\) | 0.289449 | + | 0.0740085i | 0.00964831 | + | 0.00246695i | ||||
\(901\) | −2.71286 | −0.0903784 | ||||||||
\(902\) | −20.4420 | + | 14.8520i | −0.680643 | + | 0.494516i | ||||
\(903\) | −13.5937 | + | 41.8370i | −0.452368 | + | 1.39225i | ||||
\(904\) | −1.97012 | + | 6.06342i | −0.0655253 | + | 0.201666i | ||||
\(905\) | −2.18524 | + | 17.3680i | −0.0726398 | + | 0.577332i | ||||
\(906\) | −0.175686 | − | 0.540707i | −0.00583679 | − | 0.0179638i | ||||
\(907\) | 29.5085 | 0.979815 | 0.489907 | − | 0.871774i | \(-0.337031\pi\) | ||||
0.489907 | + | 0.871774i | \(0.337031\pi\) | |||||||
\(908\) | −5.51232 | − | 16.9652i | −0.182933 | − | 0.563009i | ||||
\(909\) | −0.382196 | − | 0.277682i | −0.0126766 | − | 0.00921012i | ||||
\(910\) | −31.8795 | − | 14.9818i | −1.05680 | − | 0.496643i | ||||
\(911\) | 31.0734 | − | 22.5761i | 1.02951 | − | 0.747981i | 0.0612971 | − | 0.998120i | \(-0.480476\pi\) |
0.968210 | + | 0.250139i | \(0.0804763\pi\) | |||||||
\(912\) | −1.95931 | − | 1.42352i | −0.0648791 | − | 0.0471374i | ||||
\(913\) | −10.4958 | − | 7.62563i | −0.347360 | − | 0.252372i | ||||
\(914\) | −23.7155 | + | 17.2303i | −0.784438 | + | 0.569928i | ||||
\(915\) | 5.18493 | − | 41.2092i | 0.171408 | − | 1.36233i | ||||
\(916\) | 17.4397 | + | 12.6707i | 0.576223 | + | 0.418651i | ||||
\(917\) | −4.80055 | − | 14.7746i | −0.158528 | − | 0.487899i | ||||
\(918\) | −27.0538 | −0.892907 | ||||||||
\(919\) | 12.8831 | + | 39.6500i | 0.424974 | + | 1.30793i | 0.903020 | + | 0.429600i | \(0.141345\pi\) |
−0.478046 | + | 0.878335i | \(0.658655\pi\) | |||||||
\(920\) | 0.706192 | + | 1.28303i | 0.0232825 | + | 0.0423004i | ||||
\(921\) | 13.2999 | − | 40.9329i | 0.438247 | − | 1.34879i | ||||
\(922\) | 2.75254 | − | 8.47145i | 0.0906501 | − | 0.278992i | ||||
\(923\) | 60.8473 | − | 44.2081i | 2.00281 | − | 1.45513i | ||||
\(924\) | −13.1993 | −0.434225 | ||||||||
\(925\) | 0.334097 | + | 5.22665i | 0.0109851 | + | 0.171851i | ||||
\(926\) | −18.2771 | −0.600624 | ||||||||
\(927\) | 0.378710 | − | 0.275149i | 0.0124385 | − | 0.00903709i | ||||
\(928\) | 1.26594 | − | 3.89618i | 0.0415567 | − | 0.127898i | ||||
\(929\) | 8.68484 | − | 26.7292i | 0.284940 | − | 0.876956i | −0.701476 | − | 0.712693i | \(-0.747475\pi\) |
0.986417 | − | 0.164263i | \(-0.0525247\pi\) | |||||||
\(930\) | 26.8403 | − | 5.13401i | 0.880127 | − | 0.168351i | ||||
\(931\) | 0.304498 | + | 0.937148i | 0.00997952 | + | 0.0307138i | ||||
\(932\) | 14.7065 | 0.481726 | ||||||||
\(933\) | 0.383274 | + | 1.17960i | 0.0125478 | + | 0.0386183i | ||||
\(934\) | 29.6780 | + | 21.5624i | 0.971095 | + | 0.705542i | ||||
\(935\) | −15.4254 | − | 28.0253i | −0.504463 | − | 0.916525i | ||||
\(936\) | 0.274467 | − | 0.199412i | 0.00897124 | − | 0.00651799i | ||||
\(937\) | 10.4164 | + | 7.56796i | 0.340289 | + | 0.247234i | 0.744784 | − | 0.667306i | \(-0.232553\pi\) |
−0.404495 | + | 0.914540i | \(0.632553\pi\) | |||||||
\(938\) | −9.70427 | − | 7.05056i | −0.316856 | − | 0.230209i | ||||
\(939\) | −29.9868 | + | 21.7867i | −0.978583 | + | 0.710982i | ||||
\(940\) | 2.99148 | + | 5.43502i | 0.0975712 | + | 0.177271i | ||||
\(941\) | −8.21234 | − | 5.96661i | −0.267714 | − | 0.194506i | 0.445827 | − | 0.895119i | \(-0.352910\pi\) |
−0.713541 | + | 0.700613i | \(0.752910\pi\) | |||||||
\(942\) | 1.91153 | + | 5.88308i | 0.0622809 | + | 0.191681i | ||||
\(943\) | −5.96489 | −0.194243 | ||||||||
\(944\) | −1.16872 | − | 3.59695i | −0.0380386 | − | 0.117071i | ||||
\(945\) | −31.9698 | + | 6.11518i | −1.03998 | + | 0.198927i | ||||
\(946\) | 7.92764 | − | 24.3988i | 0.257750 | − | 0.793273i | ||||
\(947\) | −17.7298 | + | 54.5669i | −0.576143 | + | 1.77318i | 0.0561124 | + | 0.998424i | \(0.482129\pi\) |
−0.632255 | + | 0.774760i | \(0.717871\pi\) | |||||||
\(948\) | 13.7358 | − | 9.97963i | 0.446118 | − | 0.324123i | ||||
\(949\) | 23.9219 | 0.776538 | ||||||||
\(950\) | −0.450491 | − | 7.04754i | −0.0146159 | − | 0.228652i | ||||
\(951\) | −32.2944 | −1.04722 | ||||||||
\(952\) | 11.5741 | − | 8.40906i | 0.375118 | − | 0.272539i | ||||
\(953\) | 1.59843 | − | 4.91947i | 0.0517784 | − | 0.159357i | −0.921824 | − | 0.387609i | \(-0.873301\pi\) |
0.973602 | + | 0.228252i | \(0.0733010\pi\) | |||||||
\(954\) | 0.00971435 | − | 0.0298977i | 0.000314514 | − | 0.000967974i | ||||
\(955\) | −3.62939 | − | 6.59401i | −0.117444 | − | 0.213377i | ||||
\(956\) | 2.14465 | + | 6.60057i | 0.0693631 | + | 0.213478i | ||||
\(957\) | 19.4896 | 0.630010 | ||||||||
\(958\) | −3.89046 | − | 11.9736i | −0.125695 | − | 0.386849i | ||||
\(959\) | 17.9211 | + | 13.0205i | 0.578704 | + | 0.420453i | ||||
\(960\) | −0.478647 | + | 3.80423i | −0.0154483 | + | 0.122781i | ||||
\(961\) | −16.0149 | + | 11.6355i | −0.516611 | + | 0.375340i | ||||
\(962\) | 4.81145 | + | 3.49572i | 0.155127 | + | 0.112707i | ||||
\(963\) | −0.494135 | − | 0.359010i | −0.0159233 | − | 0.0115689i | ||||
\(964\) | −2.67787 | + | 1.94559i | −0.0862484 | + | 0.0626631i | ||||
\(965\) | −31.2082 | − | 14.6663i | −1.00463 | − | 0.472126i | ||||
\(966\) | −2.52084 | − | 1.83150i | −0.0811068 | − | 0.0589275i | ||||
\(967\) | −12.7927 | − | 39.3718i | −0.411384 | − | 1.26611i | −0.915445 | − | 0.402443i | \(-0.868161\pi\) |
0.504061 | − | 0.863668i | \(-0.331839\pi\) | |||||||
\(968\) | −3.30233 | −0.106141 | ||||||||
\(969\) | 3.85901 | + | 11.8768i | 0.123969 | + | 0.381539i | ||||
\(970\) | 0.0251701 | − | 0.200049i | 0.000808164 | − | 0.00642318i | ||||
\(971\) | 13.3139 | − | 40.9761i | 0.427265 | − | 1.31499i | −0.473544 | − | 0.880770i | \(-0.657025\pi\) |
0.900809 | − | 0.434216i | \(-0.142975\pi\) | |||||||
\(972\) | 0.191859 | − | 0.590483i | 0.00615389 | − | 0.0189397i | ||||
\(973\) | −49.5795 | + | 36.0216i | −1.58944 | + | 1.15480i | ||||
\(974\) | −18.3256 | −0.587189 | ||||||||
\(975\) | −47.1617 | − | 12.0587i | −1.51038 | − | 0.386186i | ||||
\(976\) | −10.8325 | −0.346739 | ||||||||
\(977\) | −32.7340 | + | 23.7826i | −1.04725 | + | 0.760874i | −0.971688 | − | 0.236267i | \(-0.924076\pi\) |
−0.0755652 | + | 0.997141i | \(0.524076\pi\) | |||||||
\(978\) | 2.69911 | − | 8.30700i | 0.0863079 | − | 0.265628i | ||||
\(979\) | −7.87398 | + | 24.2336i | −0.251654 | + | 0.774510i | ||||
\(980\) | 1.06735 | − | 1.13775i | 0.0340951 | − | 0.0363441i | ||||
\(981\) | −0.0722128 | − | 0.222248i | −0.00230558 | − | 0.00709584i | ||||
\(982\) | 21.7047 | 0.692625 | ||||||||
\(983\) | 12.4777 | + | 38.4023i | 0.397976 | + | 1.22484i | 0.926620 | + | 0.376000i | \(0.122701\pi\) |
−0.528644 | + | 0.848844i | \(0.677299\pi\) | |||||||
\(984\) | −12.6338 | − | 9.17902i | −0.402752 | − | 0.292616i | ||||
\(985\) | 13.4704 | − | 14.3589i | 0.429202 | − | 0.457513i | ||||
\(986\) | −17.0899 | + | 12.4165i | −0.544253 | + | 0.395423i | ||||
\(987\) | −10.6785 | − | 7.75836i | −0.339899 | − | 0.246951i | ||||
\(988\) | −6.48768 | − | 4.71358i | −0.206401 | − | 0.149959i | ||||
\(989\) | 4.89955 | − | 3.55973i | 0.155797 | − | 0.113193i | ||||
\(990\) | 0.364096 | − | 0.0696442i | 0.0115717 | − | 0.00221344i | ||||
\(991\) | 47.0391 | + | 34.1759i | 1.49424 | + | 1.08563i | 0.972604 | + | 0.232467i | \(0.0746798\pi\) |
0.521641 | + | 0.853165i | \(0.325320\pi\) | |||||||
\(992\) | −2.20239 | − | 6.77827i | −0.0699261 | − | 0.215210i | ||||
\(993\) | 28.9374 | 0.918300 | ||||||||
\(994\) | 11.3571 | + | 34.9535i | 0.360225 | + | 1.10866i | ||||
\(995\) | −35.6625 | − | 16.7597i | −1.13058 | − | 0.531317i | ||||
\(996\) | 2.47772 | − | 7.62563i | 0.0785095 | − | 0.241627i | ||||
\(997\) | 12.1434 | − | 37.3735i | 0.384585 | − | 1.18363i | −0.552197 | − | 0.833714i | \(-0.686210\pi\) |
0.936781 | − | 0.349916i | \(-0.113790\pi\) | |||||||
\(998\) | −12.8141 | + | 9.30998i | −0.405623 | + | 0.294702i | ||||
\(999\) | 5.49563 | 0.173874 |
(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 | 50.2.d.b.11.2 | ✓ | 8 | |
3.2 | odd | 2 | 450.2.h.e.361.1 | 8 | |||
4.3 | odd | 2 | 400.2.u.d.161.1 | 8 | |||
5.2 | odd | 4 | 250.2.e.c.199.1 | 16 | |||
5.3 | odd | 4 | 250.2.e.c.199.4 | 16 | |||
5.4 | even | 2 | 250.2.d.d.51.1 | 8 | |||
25.3 | odd | 20 | 1250.2.b.e.1249.3 | 8 | |||
25.4 | even | 10 | 1250.2.a.f.1.2 | 4 | |||
25.9 | even | 10 | 250.2.d.d.201.1 | 8 | |||
25.12 | odd | 20 | 250.2.e.c.49.4 | 16 | |||
25.13 | odd | 20 | 250.2.e.c.49.1 | 16 | |||
25.16 | even | 5 | inner | 50.2.d.b.41.2 | yes | 8 | |
25.21 | even | 5 | 1250.2.a.l.1.3 | 4 | |||
25.22 | odd | 20 | 1250.2.b.e.1249.6 | 8 | |||
75.41 | odd | 10 | 450.2.h.e.91.1 | 8 | |||
100.71 | odd | 10 | 10000.2.a.t.1.2 | 4 | |||
100.79 | odd | 10 | 10000.2.a.x.1.3 | 4 | |||
100.91 | odd | 10 | 400.2.u.d.241.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
50.2.d.b.11.2 | ✓ | 8 | 1.1 | even | 1 | trivial | |
50.2.d.b.41.2 | yes | 8 | 25.16 | even | 5 | inner | |
250.2.d.d.51.1 | 8 | 5.4 | even | 2 | |||
250.2.d.d.201.1 | 8 | 25.9 | even | 10 | |||
250.2.e.c.49.1 | 16 | 25.13 | odd | 20 | |||
250.2.e.c.49.4 | 16 | 25.12 | odd | 20 | |||
250.2.e.c.199.1 | 16 | 5.2 | odd | 4 | |||
250.2.e.c.199.4 | 16 | 5.3 | odd | 4 | |||
400.2.u.d.161.1 | 8 | 4.3 | odd | 2 | |||
400.2.u.d.241.1 | 8 | 100.91 | odd | 10 | |||
450.2.h.e.91.1 | 8 | 75.41 | odd | 10 | |||
450.2.h.e.361.1 | 8 | 3.2 | odd | 2 | |||
1250.2.a.f.1.2 | 4 | 25.4 | even | 10 | |||
1250.2.a.l.1.3 | 4 | 25.21 | even | 5 | |||
1250.2.b.e.1249.3 | 8 | 25.3 | odd | 20 | |||
1250.2.b.e.1249.6 | 8 | 25.22 | odd | 20 | |||
10000.2.a.t.1.2 | 4 | 100.71 | odd | 10 | |||
10000.2.a.x.1.3 | 4 | 100.79 | odd | 10 |