Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [44,3,Mod(3,44)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(44, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 8]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("44.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 44 = 2^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 44.h (of order \(10\), 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: | \(1.19891316319\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 15.7 | ||
Character | \(\chi\) | \(=\) | 44.15 |
Dual form | 44.3.h.a.3.7 |
$q$-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 \(\left(\mathbb{Z}/44\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.844007 | + | 1.81319i | 0.422004 | + | 0.906594i | ||||
\(3\) | 1.03917 | + | 0.337648i | 0.346391 | + | 0.112549i | 0.477045 | − | 0.878879i | \(-0.341708\pi\) |
−0.130654 | + | 0.991428i | \(0.541708\pi\) | |||||||
\(4\) | −2.57530 | + | 3.06069i | −0.643826 | + | 0.765172i | ||||
\(5\) | 0.605291 | − | 0.439770i | 0.121058 | − | 0.0879539i | −0.525609 | − | 0.850726i | \(-0.676162\pi\) |
0.646667 | + | 0.762773i | \(0.276162\pi\) | |||||||
\(6\) | 0.264851 | + | 2.16920i | 0.0441418 | + | 0.361533i | ||||
\(7\) | 3.68852 | − | 1.19847i | 0.526931 | − | 0.171210i | −0.0334574 | − | 0.999440i | \(-0.510652\pi\) |
0.560389 | + | 0.828230i | \(0.310652\pi\) | |||||||
\(8\) | −7.72318 | − | 2.08627i | −0.965397 | − | 0.260783i | ||||
\(9\) | −6.31528 | − | 4.58832i | −0.701697 | − | 0.509813i | ||||
\(10\) | 1.30826 | + | 0.726338i | 0.130826 | + | 0.0726338i | ||||
\(11\) | 10.4619 | − | 3.39827i | 0.951084 | − | 0.308934i | ||||
\(12\) | −3.70962 | + | 2.31104i | −0.309135 | + | 0.192587i | ||||
\(13\) | −2.78472 | − | 2.02322i | −0.214210 | − | 0.155632i | 0.475507 | − | 0.879712i | \(-0.342265\pi\) |
−0.689716 | + | 0.724080i | \(0.742265\pi\) | |||||||
\(14\) | 5.28619 | + | 5.67646i | 0.377585 | + | 0.405461i | ||||
\(15\) | 0.777490 | − | 0.252622i | 0.0518327 | − | 0.0168415i | ||||
\(16\) | −2.73563 | − | 15.7644i | −0.170977 | − | 0.985275i | ||||
\(17\) | 6.28791 | − | 4.56843i | 0.369877 | − | 0.268731i | −0.387283 | − | 0.921961i | \(-0.626586\pi\) |
0.757160 | + | 0.653230i | \(0.226586\pi\) | |||||||
\(18\) | 2.98934 | − | 15.3234i | 0.166075 | − | 0.851298i | ||||
\(19\) | −18.2467 | − | 5.92872i | −0.960354 | − | 0.312038i | −0.213438 | − | 0.976957i | \(-0.568466\pi\) |
−0.746916 | + | 0.664919i | \(0.768466\pi\) | |||||||
\(20\) | −0.212810 | + | 2.98515i | −0.0106405 | + | 0.149257i | ||||
\(21\) | 4.23767 | 0.201794 | ||||||||
\(22\) | 14.9916 | + | 16.1013i | 0.681438 | + | 0.731876i | ||||
\(23\) | 15.0061i | 0.652441i | 0.945294 | + | 0.326220i | \(0.105775\pi\) | ||||
−0.945294 | + | 0.326220i | \(0.894225\pi\) | |||||||
\(24\) | −7.32131 | − | 4.77571i | −0.305054 | − | 0.198988i | ||||
\(25\) | −7.55245 | + | 23.2440i | −0.302098 | + | 0.929761i | ||||
\(26\) | 1.31815 | − | 6.75684i | 0.0506982 | − | 0.259879i | ||||
\(27\) | −10.7936 | − | 14.8562i | −0.399764 | − | 0.550229i | ||||
\(28\) | −5.83090 | + | 14.3758i | −0.208247 | + | 0.513423i | ||||
\(29\) | 4.31911 | + | 13.2929i | 0.148935 | + | 0.458374i | 0.997496 | − | 0.0707231i | \(-0.0225307\pi\) |
−0.848561 | + | 0.529097i | \(0.822531\pi\) | |||||||
\(30\) | 1.11426 | + | 1.19652i | 0.0371420 | + | 0.0398840i | ||||
\(31\) | −32.6981 | + | 45.0051i | −1.05478 | + | 1.45178i | −0.170185 | + | 0.985412i | \(0.554436\pi\) |
−0.884593 | + | 0.466364i | \(0.845564\pi\) | |||||||
\(32\) | 26.2749 | − | 18.2655i | 0.821092 | − | 0.570796i | ||||
\(33\) | 12.0192 | + | 0.00105272i | 0.364218 | + | 3.19005e-5i | ||||
\(34\) | 13.5905 | + | 7.54537i | 0.399720 | + | 0.221923i | ||||
\(35\) | 1.70557 | − | 2.34752i | 0.0487307 | − | 0.0670721i | ||||
\(36\) | 30.3072 | − | 7.51279i | 0.841865 | − | 0.208688i | ||||
\(37\) | 11.3339 | + | 34.8823i | 0.306323 | + | 0.942764i | 0.979180 | + | 0.202992i | \(0.0650666\pi\) |
−0.672858 | + | 0.739772i | \(0.734933\pi\) | |||||||
\(38\) | −4.65049 | − | 38.0886i | −0.122381 | − | 1.00233i | ||||
\(39\) | −2.21068 | − | 3.04274i | −0.0566840 | − | 0.0780189i | ||||
\(40\) | −5.59225 | + | 2.13362i | −0.139806 | + | 0.0533405i | ||||
\(41\) | 17.0545 | − | 52.4884i | 0.415964 | − | 1.28020i | −0.495422 | − | 0.868652i | \(-0.664987\pi\) |
0.911386 | − | 0.411553i | \(-0.135013\pi\) | |||||||
\(42\) | 3.57663 | + | 7.68370i | 0.0851578 | + | 0.182945i | ||||
\(43\) | − | 43.0444i | − | 1.00103i | −0.865727 | − | 0.500517i | \(-0.833143\pi\) | ||
0.865727 | − | 0.500517i | \(-0.166857\pi\) | |||||||
\(44\) | −16.5416 | + | 40.7723i | −0.375945 | + | 0.926642i | ||||
\(45\) | −5.84038 | −0.129786 | ||||||||
\(46\) | −27.2090 | + | 12.6653i | −0.591499 | + | 0.275332i | ||||
\(47\) | 46.1847 | + | 15.0063i | 0.982653 | + | 0.319283i | 0.755913 | − | 0.654672i | \(-0.227193\pi\) |
0.226740 | + | 0.973955i | \(0.427193\pi\) | |||||||
\(48\) | 2.48003 | − | 17.3056i | 0.0516673 | − | 0.360534i | ||||
\(49\) | −27.4730 | + | 19.9603i | −0.560674 | + | 0.407353i | ||||
\(50\) | −48.5201 | + | 5.92413i | −0.970403 | + | 0.118483i | ||||
\(51\) | 8.07676 | − | 2.62430i | 0.158368 | − | 0.0514568i | ||||
\(52\) | 13.3640 | − | 3.31277i | 0.256999 | − | 0.0637071i | ||||
\(53\) | −74.7736 | − | 54.3262i | −1.41082 | − | 1.02502i | −0.993202 | − | 0.116402i | \(-0.962864\pi\) |
−0.417621 | − | 0.908621i | \(-0.637136\pi\) | |||||||
\(54\) | 17.8271 | − | 32.1096i | 0.330132 | − | 0.594623i | ||||
\(55\) | 4.83805 | − | 6.65778i | 0.0879645 | − | 0.121050i | ||||
\(56\) | −30.9874 | + | 1.56078i | −0.553347 | + | 0.0278712i | ||||
\(57\) | −16.9597 | − | 12.3220i | −0.297539 | − | 0.216175i | ||||
\(58\) | −20.4571 | + | 19.0506i | −0.352708 | + | 0.328459i | ||||
\(59\) | 76.2995 | − | 24.7912i | 1.29321 | − | 0.420190i | 0.419997 | − | 0.907525i | \(-0.362031\pi\) |
0.873215 | + | 0.487335i | \(0.162031\pi\) | |||||||
\(60\) | −1.22908 | + | 3.03023i | −0.0204846 | + | 0.0505039i | ||||
\(61\) | 62.8898 | − | 45.6921i | 1.03098 | − | 0.749052i | 0.0624763 | − | 0.998046i | \(-0.480100\pi\) |
0.968505 | + | 0.248995i | \(0.0801002\pi\) | |||||||
\(62\) | −109.200 | − | 21.3032i | −1.76129 | − | 0.343600i | ||||
\(63\) | −28.7930 | − | 9.35541i | −0.457031 | − | 0.148499i | ||||
\(64\) | 55.2950 | + | 32.2252i | 0.863984 | + | 0.503519i | ||||
\(65\) | −2.57532 | −0.0396203 | ||||||||
\(66\) | 10.1424 | + | 21.7939i | 0.153672 | + | 0.330211i | ||||
\(67\) | − | 57.7376i | − | 0.861755i | −0.902411 | − | 0.430877i | \(-0.858204\pi\) | ||
0.902411 | − | 0.430877i | \(-0.141796\pi\) | |||||||
\(68\) | −2.21072 | + | 31.0104i | −0.0325106 | + | 0.456036i | ||||
\(69\) | −5.06680 | + | 15.5940i | −0.0734318 | + | 0.226000i | ||||
\(70\) | 5.69602 | + | 1.11120i | 0.0813717 | + | 0.0158743i | ||||
\(71\) | 57.7740 | + | 79.5191i | 0.813719 | + | 1.11999i | 0.990739 | + | 0.135780i | \(0.0433541\pi\) |
−0.177020 | + | 0.984207i | \(0.556646\pi\) | |||||||
\(72\) | 39.2016 | + | 48.6117i | 0.544466 | + | 0.675163i | ||||
\(73\) | 23.1219 | + | 71.1618i | 0.316738 | + | 0.974820i | 0.975033 | + | 0.222060i | \(0.0712780\pi\) |
−0.658295 | + | 0.752760i | \(0.728722\pi\) | |||||||
\(74\) | −53.6822 | + | 49.9914i | −0.725435 | + | 0.675560i | ||||
\(75\) | −15.6966 | + | 21.6045i | −0.209288 | + | 0.288060i | ||||
\(76\) | 65.1368 | − | 40.5793i | 0.857064 | − | 0.533938i | ||||
\(77\) | 34.5162 | − | 25.0729i | 0.448263 | − | 0.325622i | ||||
\(78\) | 3.65123 | − | 6.57647i | 0.0468106 | − | 0.0843137i | ||||
\(79\) | −44.4641 | + | 61.1996i | −0.562837 | + | 0.774678i | −0.991684 | − | 0.128699i | \(-0.958920\pi\) |
0.428847 | + | 0.903377i | \(0.358920\pi\) | |||||||
\(80\) | −8.58856 | − | 8.33900i | −0.107357 | − | 0.104238i | ||||
\(81\) | 15.5097 | + | 47.7339i | 0.191477 | + | 0.589307i | ||||
\(82\) | 109.565 | − | 13.3775i | 1.33616 | − | 0.163141i | ||||
\(83\) | −38.8192 | − | 53.4301i | −0.467701 | − | 0.643736i | 0.508382 | − | 0.861132i | \(-0.330244\pi\) |
−0.976084 | + | 0.217396i | \(0.930244\pi\) | |||||||
\(84\) | −10.9133 | + | 12.9702i | −0.129920 | + | 0.154407i | ||||
\(85\) | 1.79696 | − | 5.53046i | 0.0211407 | − | 0.0650643i | ||||
\(86\) | 78.0477 | − | 36.3298i | 0.907531 | − | 0.422440i | ||||
\(87\) | 15.2719i | 0.175539i | ||||||||
\(88\) | −87.8890 | + | 4.41910i | −0.998738 | + | 0.0502171i | ||||
\(89\) | 46.7420 | 0.525191 | 0.262596 | − | 0.964906i | \(-0.415421\pi\) | ||||
0.262596 | + | 0.964906i | \(0.415421\pi\) | |||||||
\(90\) | −4.92933 | − | 10.5897i | −0.0547703 | − | 0.117663i | ||||
\(91\) | −12.6963 | − | 4.12527i | −0.139520 | − | 0.0453327i | ||||
\(92\) | −45.9291 | − | 38.6454i | −0.499229 | − | 0.420058i | ||||
\(93\) | −49.1749 | + | 35.7277i | −0.528762 | + | 0.384168i | ||||
\(94\) | 11.7709 | + | 96.4070i | 0.125223 | + | 1.02561i | ||||
\(95\) | −13.6519 | + | 4.43576i | −0.143704 | + | 0.0466922i | ||||
\(96\) | 33.4715 | − | 10.1093i | 0.348662 | − | 0.105306i | ||||
\(97\) | −86.8069 | − | 63.0689i | −0.894916 | − | 0.650195i | 0.0422389 | − | 0.999108i | \(-0.486551\pi\) |
−0.937155 | + | 0.348913i | \(0.886551\pi\) | |||||||
\(98\) | −59.3792 | − | 32.9671i | −0.605910 | − | 0.336399i | ||||
\(99\) | −81.6622 | − | 26.5416i | −0.824871 | − | 0.268097i | ||||
\(100\) | −51.6929 | − | 82.9761i | −0.516929 | − | 0.829761i | ||||
\(101\) | 58.6040 | + | 42.5783i | 0.580238 | + | 0.421568i | 0.838810 | − | 0.544424i | \(-0.183252\pi\) |
−0.258572 | + | 0.965992i | \(0.583252\pi\) | |||||||
\(102\) | 11.5752 | + | 12.4298i | 0.113482 | + | 0.121860i | ||||
\(103\) | −19.9403 | + | 6.47899i | −0.193595 | + | 0.0629029i | −0.404210 | − | 0.914666i | \(-0.632453\pi\) |
0.210615 | + | 0.977569i | \(0.432453\pi\) | |||||||
\(104\) | 17.2859 | + | 21.4354i | 0.166211 | + | 0.206109i | ||||
\(105\) | 2.56503 | − | 1.86360i | 0.0244288 | − | 0.0177486i | ||||
\(106\) | 35.3942 | − | 181.430i | 0.333907 | − | 1.71161i | ||||
\(107\) | −24.9694 | − | 8.11306i | −0.233359 | − | 0.0758230i | 0.190003 | − | 0.981783i | \(-0.439150\pi\) |
−0.423362 | + | 0.905961i | \(0.639150\pi\) | |||||||
\(108\) | 73.2670 | + | 5.22318i | 0.678398 | + | 0.0483628i | ||||
\(109\) | −79.3568 | −0.728044 | −0.364022 | − | 0.931390i | \(-0.618597\pi\) | ||||
−0.364022 | + | 0.931390i | \(0.618597\pi\) | |||||||
\(110\) | 16.1552 | + | 3.15308i | 0.146865 | + | 0.0286644i | ||||
\(111\) | 40.0756i | 0.361042i | ||||||||
\(112\) | −28.9836 | − | 54.8687i | −0.258782 | − | 0.489899i | ||||
\(113\) | −7.02958 | + | 21.6348i | −0.0622087 | + | 0.191459i | −0.977331 | − | 0.211718i | \(-0.932094\pi\) |
0.915122 | + | 0.403177i | \(0.132094\pi\) | |||||||
\(114\) | 8.02790 | − | 41.1510i | 0.0704202 | − | 0.360973i | ||||
\(115\) | 6.59924 | + | 9.08308i | 0.0573847 | + | 0.0789833i | ||||
\(116\) | −51.8083 | − | 21.0137i | −0.446623 | − | 0.181152i | ||||
\(117\) | 8.30313 | + | 25.5544i | 0.0709669 | + | 0.218414i | ||||
\(118\) | 109.348 | + | 117.421i | 0.926682 | + | 0.995097i | ||||
\(119\) | 17.7179 | − | 24.3866i | 0.148890 | − | 0.204930i | ||||
\(120\) | −6.53173 | + | 0.328993i | −0.0544311 | + | 0.00274160i | ||||
\(121\) | 97.9035 | − | 71.1049i | 0.809120 | − | 0.587644i | ||||
\(122\) | 135.928 | + | 75.4666i | 1.11416 | + | 0.618579i | ||||
\(123\) | 35.4452 | − | 48.7862i | 0.288173 | − | 0.396636i | ||||
\(124\) | −53.5390 | − | 215.980i | −0.431766 | − | 1.74178i | ||||
\(125\) | 11.4306 | + | 35.1798i | 0.0914449 | + | 0.281438i | ||||
\(126\) | −7.33837 | − | 60.1031i | −0.0582411 | − | 0.477009i | ||||
\(127\) | −52.1961 | − | 71.8418i | −0.410993 | − | 0.565683i | 0.552467 | − | 0.833535i | \(-0.313686\pi\) |
−0.963460 | + | 0.267851i | \(0.913686\pi\) | |||||||
\(128\) | −11.7610 | + | 127.459i | −0.0918828 | + | 0.995770i | ||||
\(129\) | 14.5339 | − | 44.7307i | 0.112666 | − | 0.346749i | ||||
\(130\) | −2.17359 | − | 4.66954i | −0.0167199 | − | 0.0359195i | ||||
\(131\) | 170.654i | 1.30271i | 0.758775 | + | 0.651353i | \(0.225798\pi\) | ||||
−0.758775 | + | 0.651353i | \(0.774202\pi\) | |||||||
\(132\) | −30.9562 | + | 36.7842i | −0.234517 | + | 0.278669i | ||||
\(133\) | −74.4088 | −0.559465 | ||||||||
\(134\) | 104.689 | − | 48.7309i | 0.781262 | − | 0.363664i | ||||
\(135\) | −13.0666 | − | 4.24559i | −0.0967895 | − | 0.0314488i | ||||
\(136\) | −58.0936 | + | 22.1646i | −0.427159 | + | 0.162975i | ||||
\(137\) | −72.1395 | + | 52.4124i | −0.526565 | + | 0.382572i | −0.819071 | − | 0.573692i | \(-0.805511\pi\) |
0.292506 | + | 0.956264i | \(0.405511\pi\) | |||||||
\(138\) | −32.5513 | + | 3.97439i | −0.235879 | + | 0.0287999i | ||||
\(139\) | 170.380 | − | 55.3599i | 1.22576 | − | 0.398273i | 0.376582 | − | 0.926383i | \(-0.377099\pi\) |
0.849176 | + | 0.528111i | \(0.177099\pi\) | |||||||
\(140\) | 2.79266 | + | 11.2658i | 0.0199476 | + | 0.0804701i | ||||
\(141\) | 42.9271 | + | 31.1884i | 0.304447 | + | 0.221194i | ||||
\(142\) | −95.4214 | + | 171.870i | −0.671982 | + | 1.21035i | ||||
\(143\) | −36.0090 | − | 11.7035i | −0.251811 | − | 0.0818428i | ||||
\(144\) | −55.0558 | + | 112.108i | −0.382332 | + | 0.778531i | ||||
\(145\) | 8.46011 | + | 6.14663i | 0.0583456 | + | 0.0423906i | ||||
\(146\) | −109.515 | + | 101.985i | −0.750101 | + | 0.698530i | ||||
\(147\) | −35.2888 | + | 11.4660i | −0.240060 | + | 0.0780002i | ||||
\(148\) | −135.952 | − | 55.1428i | −0.918595 | − | 0.372586i | ||||
\(149\) | 95.8450 | − | 69.6355i | 0.643255 | − | 0.467352i | −0.217712 | − | 0.976013i | \(-0.569859\pi\) |
0.860967 | + | 0.508661i | \(0.169859\pi\) | |||||||
\(150\) | −52.4211 | − | 10.2265i | −0.349474 | − | 0.0681769i | ||||
\(151\) | 138.124 | + | 44.8793i | 0.914731 | + | 0.297214i | 0.728303 | − | 0.685255i | \(-0.240309\pi\) |
0.186427 | + | 0.982469i | \(0.440309\pi\) | |||||||
\(152\) | 128.554 | + | 83.8561i | 0.845749 | + | 0.551685i | ||||
\(153\) | −60.6713 | −0.396544 | ||||||||
\(154\) | 74.5939 | + | 41.4227i | 0.484376 | + | 0.268979i | ||||
\(155\) | 41.6208i | 0.268521i | ||||||||
\(156\) | 15.0060 | + | 1.06977i | 0.0961925 | + | 0.00685753i | ||||
\(157\) | 27.4296 | − | 84.4196i | 0.174711 | − | 0.537705i | −0.824909 | − | 0.565265i | \(-0.808774\pi\) |
0.999620 | + | 0.0275605i | \(0.00877388\pi\) | |||||||
\(158\) | −148.494 | − | 28.9689i | −0.939838 | − | 0.183347i | ||||
\(159\) | −59.3597 | − | 81.7016i | −0.373331 | − | 0.513847i | ||||
\(160\) | 7.87138 | − | 22.6108i | 0.0491961 | − | 0.141318i | ||||
\(161\) | 17.9844 | + | 55.3504i | 0.111705 | + | 0.343791i | ||||
\(162\) | −73.4602 | + | 68.4097i | −0.453458 | + | 0.422282i | ||||
\(163\) | −13.3585 | + | 18.3864i | −0.0819539 | + | 0.112800i | −0.848026 | − | 0.529955i | \(-0.822209\pi\) |
0.766072 | + | 0.642755i | \(0.222209\pi\) | |||||||
\(164\) | 116.730 | + | 187.372i | 0.711769 | + | 1.14251i | ||||
\(165\) | 7.27556 | − | 5.28503i | 0.0440943 | − | 0.0320305i | ||||
\(166\) | 64.1151 | − | 115.482i | 0.386235 | − | 0.695674i | ||||
\(167\) | 175.977 | − | 242.212i | 1.05376 | − | 1.45037i | 0.168247 | − | 0.985745i | \(-0.446189\pi\) |
0.885508 | − | 0.464624i | \(-0.153811\pi\) | |||||||
\(168\) | −32.7283 | − | 8.84092i | −0.194811 | − | 0.0526245i | ||||
\(169\) | −48.5626 | − | 149.460i | −0.287353 | − | 0.884381i | ||||
\(170\) | 11.5444 | − | 1.40953i | 0.0679083 | − | 0.00829136i | ||||
\(171\) | 88.0303 | + | 121.163i | 0.514797 | + | 0.708557i | ||||
\(172\) | 131.746 | + | 110.852i | 0.765963 | + | 0.644491i | ||||
\(173\) | −14.5428 | + | 44.7583i | −0.0840627 | + | 0.258718i | −0.984249 | − | 0.176786i | \(-0.943430\pi\) |
0.900187 | + | 0.435504i | \(0.143430\pi\) | |||||||
\(174\) | −27.6909 | + | 12.8896i | −0.159143 | + | 0.0740783i | ||||
\(175\) | 94.7874i | 0.541642i | ||||||||
\(176\) | −82.1916 | − | 155.629i | −0.466998 | − | 0.884258i | ||||
\(177\) | 87.6592 | 0.495250 | ||||||||
\(178\) | 39.4506 | + | 84.7521i | 0.221633 | + | 0.476135i | ||||
\(179\) | −86.7866 | − | 28.1987i | −0.484842 | − | 0.157535i | 0.0563889 | − | 0.998409i | \(-0.482041\pi\) |
−0.541230 | + | 0.840874i | \(0.682041\pi\) | |||||||
\(180\) | 15.0408 | − | 17.8756i | 0.0835597 | − | 0.0993088i | ||||
\(181\) | 16.1873 | − | 11.7607i | 0.0894324 | − | 0.0649764i | −0.542171 | − | 0.840268i | \(-0.682397\pi\) |
0.631603 | + | 0.775292i | \(0.282397\pi\) | |||||||
\(182\) | −3.23586 | − | 26.5025i | −0.0177795 | − | 0.145618i | ||||
\(183\) | 80.7814 | − | 26.2475i | 0.441428 | − | 0.143429i | ||||
\(184\) | 31.3068 | − | 115.895i | 0.170146 | − | 0.629865i | ||||
\(185\) | 22.2005 | + | 16.1296i | 0.120003 | + | 0.0871870i | ||||
\(186\) | −106.285 | − | 59.0090i | −0.571424 | − | 0.317252i | ||||
\(187\) | 50.2588 | − | 69.1626i | 0.268764 | − | 0.369854i | ||||
\(188\) | −164.869 | + | 102.711i | −0.876964 | + | 0.546336i | ||||
\(189\) | −57.6172 | − | 41.8614i | −0.304853 | − | 0.221489i | ||||
\(190\) | −19.5651 | − | 21.0096i | −0.102974 | − | 0.110577i | ||||
\(191\) | −208.998 | + | 67.9075i | −1.09423 | + | 0.355537i | −0.799879 | − | 0.600161i | \(-0.795103\pi\) |
−0.294350 | + | 0.955698i | \(0.595103\pi\) | |||||||
\(192\) | 46.5803 | + | 52.1579i | 0.242606 | + | 0.271656i | ||||
\(193\) | −72.6595 | + | 52.7902i | −0.376474 | + | 0.273524i | −0.759890 | − | 0.650051i | \(-0.774747\pi\) |
0.383416 | + | 0.923576i | \(0.374747\pi\) | |||||||
\(194\) | 41.0901 | − | 210.628i | 0.211805 | − | 1.08571i | ||||
\(195\) | −2.67621 | − | 0.869552i | −0.0137241 | − | 0.00445924i | ||||
\(196\) | 9.65904 | − | 135.490i | 0.0492808 | − | 0.691276i | ||||
\(197\) | −113.348 | −0.575370 | −0.287685 | − | 0.957725i | \(-0.592886\pi\) | ||||
−0.287685 | + | 0.957725i | \(0.592886\pi\) | |||||||
\(198\) | −20.7987 | − | 170.470i | −0.105044 | − | 0.860961i | ||||
\(199\) | − | 128.213i | − | 0.644289i | −0.946691 | − | 0.322144i | \(-0.895596\pi\) | ||
0.946691 | − | 0.322144i | \(-0.104404\pi\) | |||||||
\(200\) | 106.822 | − | 163.761i | 0.534111 | − | 0.818807i | ||||
\(201\) | 19.4950 | − | 59.9994i | 0.0969900 | − | 0.298504i | ||||
\(202\) | −27.7403 | + | 142.197i | −0.137328 | + | 0.703943i | ||||
\(203\) | 31.8622 | + | 43.8546i | 0.156957 | + | 0.216032i | ||||
\(204\) | −12.7679 | + | 31.4788i | −0.0625880 | + | 0.154308i | ||||
\(205\) | −12.7599 | − | 39.2708i | −0.0622432 | − | 0.191565i | ||||
\(206\) | −28.5774 | − | 30.6872i | −0.138725 | − | 0.148967i | ||||
\(207\) | 68.8529 | − | 94.7679i | 0.332623 | − | 0.457816i | ||||
\(208\) | −24.2769 | + | 49.4343i | −0.116716 | + | 0.237665i | ||||
\(209\) | −211.043 | − | 0.0184845i | −1.00978 | − | 8.84427e-5i | ||||
\(210\) | 5.54396 | + | 3.07798i | 0.0263998 | + | 0.0146571i | ||||
\(211\) | −169.233 | + | 232.929i | −0.802053 | + | 1.10393i | 0.190449 | + | 0.981697i | \(0.439006\pi\) |
−0.992501 | + | 0.122234i | \(0.960994\pi\) | |||||||
\(212\) | 358.840 | − | 88.9523i | 1.69264 | − | 0.419586i | ||||
\(213\) | 33.1878 | + | 102.142i | 0.155811 | + | 0.479538i | ||||
\(214\) | −6.36388 | − | 52.1217i | −0.0297377 | − | 0.243560i | ||||
\(215\) | −18.9296 | − | 26.0544i | −0.0880448 | − | 0.121183i | ||||
\(216\) | 52.3673 | + | 137.255i | 0.242441 | + | 0.635441i | ||||
\(217\) | −66.6702 | + | 205.190i | −0.307236 | + | 0.945575i | ||||
\(218\) | −66.9777 | − | 143.889i | −0.307237 | − | 0.660040i | ||||
\(219\) | 81.7566i | 0.373318i | ||||||||
\(220\) | 7.91794 | + | 31.9536i | 0.0359906 | + | 0.145243i | ||||
\(221\) | −26.7530 | −0.121055 | ||||||||
\(222\) | −72.6647 | + | 33.8241i | −0.327318 | + | 0.152361i | ||||
\(223\) | −146.310 | − | 47.5389i | −0.656097 | − | 0.213179i | −0.0379966 | − | 0.999278i | \(-0.512098\pi\) |
−0.618101 | + | 0.786099i | \(0.712098\pi\) | |||||||
\(224\) | 75.0249 | − | 98.8623i | 0.334933 | − | 0.441350i | ||||
\(225\) | 154.347 | − | 112.139i | 0.685986 | − | 0.498398i | ||||
\(226\) | −45.1610 | + | 5.51400i | −0.199827 | + | 0.0243982i | ||||
\(227\) | −307.232 | + | 99.8258i | −1.35345 | + | 0.439761i | −0.893850 | − | 0.448367i | \(-0.852006\pi\) |
−0.459596 | + | 0.888128i | \(0.652006\pi\) | |||||||
\(228\) | 81.3901 | − | 20.1756i | 0.356974 | − | 0.0884896i | ||||
\(229\) | 230.677 | + | 167.597i | 1.00732 | + | 0.731864i | 0.963646 | − | 0.267181i | \(-0.0860922\pi\) |
0.0436787 | + | 0.999046i | \(0.486092\pi\) | |||||||
\(230\) | −10.8995 | + | 19.6319i | −0.0473892 | + | 0.0853559i | ||||
\(231\) | 44.3342 | − | 14.4008i | 0.191923 | − | 0.0623410i | ||||
\(232\) | −5.62483 | − | 111.674i | −0.0242450 | − | 0.481353i | ||||
\(233\) | 157.782 | + | 114.636i | 0.677178 | + | 0.491999i | 0.872420 | − | 0.488756i | \(-0.162549\pi\) |
−0.195242 | + | 0.980755i | \(0.562549\pi\) | |||||||
\(234\) | −39.3270 | + | 36.6232i | −0.168064 | + | 0.156510i | ||||
\(235\) | 34.5545 | − | 11.2274i | 0.147040 | − | 0.0477763i | ||||
\(236\) | −120.616 | + | 297.374i | −0.511086 | + | 1.26006i | ||||
\(237\) | −66.8699 | + | 48.5838i | −0.282151 | + | 0.204995i | ||||
\(238\) | 59.1716 | + | 11.5434i | 0.248620 | + | 0.0485018i | ||||
\(239\) | −200.985 | − | 65.3040i | −0.840941 | − | 0.273238i | −0.143294 | − | 0.989680i | \(-0.545770\pi\) |
−0.697647 | + | 0.716442i | \(0.745770\pi\) | |||||||
\(240\) | −6.10936 | − | 11.5656i | −0.0254557 | − | 0.0481900i | ||||
\(241\) | 328.286 | 1.36218 | 0.681092 | − | 0.732198i | \(-0.261505\pi\) | ||||
0.681092 | + | 0.732198i | \(0.261505\pi\) | |||||||
\(242\) | 211.558 | + | 117.504i | 0.874206 | + | 0.485556i | ||||
\(243\) | 220.110i | 0.905802i | ||||||||
\(244\) | −22.1110 | + | 310.157i | −0.0906188 | + | 1.27114i | ||||
\(245\) | −7.85123 | + | 24.1636i | −0.0320458 | + | 0.0986269i | ||||
\(246\) | 118.375 | + | 23.0930i | 0.481197 | + | 0.0938739i | ||||
\(247\) | 38.8170 | + | 53.4270i | 0.157154 | + | 0.216304i | ||||
\(248\) | 346.426 | − | 279.365i | 1.39688 | − | 1.12647i | ||||
\(249\) | −22.2994 | − | 68.6304i | −0.0895557 | − | 0.275624i | ||||
\(250\) | −54.1401 | + | 50.4179i | −0.216560 | + | 0.201671i | ||||
\(251\) | 49.3072 | − | 67.8655i | 0.196443 | − | 0.270380i | −0.699420 | − | 0.714711i | \(-0.746558\pi\) |
0.895863 | + | 0.444330i | \(0.146558\pi\) | |||||||
\(252\) | 102.785 | − | 64.0333i | 0.407876 | − | 0.254100i | ||||
\(253\) | 50.9949 | + | 156.993i | 0.201561 | + | 0.620526i | ||||
\(254\) | 86.2088 | − | 155.276i | 0.339405 | − | 0.611324i | ||||
\(255\) | 3.73470 | − | 5.14038i | 0.0146459 | − | 0.0201583i | ||||
\(256\) | −241.033 | + | 86.2510i | −0.941534 | + | 0.336918i | ||||
\(257\) | −50.0346 | − | 153.991i | −0.194687 | − | 0.599185i | −0.999980 | − | 0.00630817i | \(-0.997992\pi\) |
0.805293 | − | 0.592877i | \(-0.202008\pi\) | |||||||
\(258\) | 93.3718 | − | 11.4004i | 0.361906 | − | 0.0441874i | ||||
\(259\) | 83.6108 | + | 115.080i | 0.322822 | + | 0.444326i | ||||
\(260\) | 6.63223 | − | 7.88225i | 0.0255086 | − | 0.0303164i | ||||
\(261\) | 33.7154 | − | 103.765i | 0.129178 | − | 0.397569i | ||||
\(262\) | −309.429 | + | 144.034i | −1.18103 | + | 0.549747i | ||||
\(263\) | − | 399.263i | − | 1.51811i | −0.651027 | − | 0.759055i | \(-0.725661\pi\) | ||
0.651027 | − | 0.759055i | \(-0.274339\pi\) | |||||||
\(264\) | −92.8241 | − | 25.0833i | −0.351606 | − | 0.0950126i | ||||
\(265\) | −69.1508 | −0.260947 | ||||||||
\(266\) | −62.8016 | − | 134.917i | −0.236096 | − | 0.507207i | ||||
\(267\) | 48.5731 | + | 15.7824i | 0.181922 | + | 0.0591100i | ||||
\(268\) | 176.717 | + | 148.692i | 0.659391 | + | 0.554820i | ||||
\(269\) | 51.6076 | − | 37.4951i | 0.191850 | − | 0.139387i | −0.487714 | − | 0.873003i | \(-0.662169\pi\) |
0.679564 | + | 0.733617i | \(0.262169\pi\) | |||||||
\(270\) | −3.33024 | − | 27.2755i | −0.0123342 | − | 0.101020i | ||||
\(271\) | −162.436 | + | 52.7786i | −0.599394 | + | 0.194755i | −0.592970 | − | 0.805225i | \(-0.702045\pi\) |
−0.00642369 | + | 0.999979i | \(0.502045\pi\) | |||||||
\(272\) | −89.2200 | − | 86.6276i | −0.328015 | − | 0.318484i | ||||
\(273\) | −11.8008 | − | 8.57375i | −0.0432262 | − | 0.0314057i | ||||
\(274\) | −155.920 | − | 86.5660i | −0.569050 | − | 0.315934i | ||||
\(275\) | −0.0235469 | + | 268.842i | −8.56253e−5 | + | 0.977609i | ||||
\(276\) | −34.6798 | − | 55.6671i | −0.125652 | − | 0.201693i | ||||
\(277\) | −261.885 | − | 190.270i | −0.945432 | − | 0.686897i | 0.00428992 | − | 0.999991i | \(-0.498634\pi\) |
−0.949722 | + | 0.313094i | \(0.898634\pi\) | |||||||
\(278\) | 244.180 | + | 262.207i | 0.878346 | + | 0.943192i | ||||
\(279\) | 412.995 | − | 134.190i | 1.48027 | − | 0.480969i | ||||
\(280\) | −18.0700 | + | 14.5721i | −0.0645358 | + | 0.0520430i | ||||
\(281\) | −309.396 | + | 224.789i | −1.10105 | + | 0.799961i | −0.981231 | − | 0.192834i | \(-0.938232\pi\) |
−0.119821 | + | 0.992796i | \(0.538232\pi\) | |||||||
\(282\) | −20.3196 | + | 104.158i | −0.0720552 | + | 0.369355i | ||||
\(283\) | 419.260 | + | 136.226i | 1.48148 | + | 0.481364i | 0.934556 | − | 0.355816i | \(-0.115797\pi\) |
0.546928 | + | 0.837179i | \(0.315797\pi\) | |||||||
\(284\) | −392.169 | − | 27.9576i | −1.38088 | − | 0.0984421i | ||||
\(285\) | −15.6844 | −0.0550329 | ||||||||
\(286\) | −9.17118 | − | 75.1690i | −0.0320671 | − | 0.262829i | ||||
\(287\) | − | 214.044i | − | 0.745797i | ||||||
\(288\) | −249.741 | − | 5.20621i | −0.867157 | − | 0.0180771i | ||||
\(289\) | −70.6387 | + | 217.404i | −0.244425 | + | 0.752261i | ||||
\(290\) | −4.00460 | + | 20.5276i | −0.0138090 | + | 0.0707847i | ||||
\(291\) | −68.9124 | − | 94.8498i | −0.236812 | − | 0.325944i | ||||
\(292\) | −277.350 | − | 112.494i | −0.949829 | − | 0.385255i | ||||
\(293\) | −161.544 | − | 497.182i | −0.551345 | − | 1.69687i | −0.705404 | − | 0.708805i | \(-0.749235\pi\) |
0.154059 | − | 0.988062i | \(-0.450765\pi\) | |||||||
\(294\) | −50.5741 | − | 54.3078i | −0.172021 | − | 0.184721i | ||||
\(295\) | 35.2810 | − | 48.5601i | 0.119597 | − | 0.164611i | ||||
\(296\) | −14.7603 | − | 293.048i | −0.0498659 | − | 0.990026i | ||||
\(297\) | −163.408 | − | 118.744i | −0.550194 | − | 0.399813i | ||||
\(298\) | 207.156 | + | 115.012i | 0.695155 | + | 0.385947i | ||||
\(299\) | 30.3607 | − | 41.7880i | 0.101541 | − | 0.139759i | ||||
\(300\) | −25.7012 | − | 103.681i | −0.0856707 | − | 0.345602i | ||||
\(301\) | −51.5875 | − | 158.770i | −0.171387 | − | 0.527476i | ||||
\(302\) | 35.2033 | + | 288.324i | 0.116567 | + | 0.954715i | ||||
\(303\) | 46.5233 | + | 64.0339i | 0.153542 | + | 0.211333i | ||||
\(304\) | −43.5465 | + | 303.868i | −0.143245 | + | 0.999564i | ||||
\(305\) | 17.9726 | − | 55.3141i | 0.0589267 | − | 0.181358i | ||||
\(306\) | −51.2070 | − | 110.008i | −0.167343 | − | 0.359505i | ||||
\(307\) | − | 528.080i | − | 1.72013i | −0.510183 | − | 0.860066i | \(-0.670422\pi\) | ||
0.510183 | − | 0.860066i | \(-0.329578\pi\) | |||||||
\(308\) | −12.1495 | + | 170.214i | −0.0394463 | + | 0.552642i | ||||
\(309\) | −22.9091 | −0.0741394 | ||||||||
\(310\) | −75.4663 | + | 35.1283i | −0.243440 | + | 0.113317i | ||||
\(311\) | 303.245 | + | 98.5302i | 0.975064 | + | 0.316817i | 0.752859 | − | 0.658182i | \(-0.228674\pi\) |
0.222205 | + | 0.975000i | \(0.428674\pi\) | |||||||
\(312\) | 10.7255 | + | 28.1117i | 0.0343766 | + | 0.0901015i | ||||
\(313\) | 260.815 | − | 189.493i | 0.833274 | − | 0.605409i | −0.0872100 | − | 0.996190i | \(-0.527795\pi\) |
0.920484 | + | 0.390781i | \(0.127795\pi\) | |||||||
\(314\) | 176.219 | − | 21.5158i | 0.561208 | − | 0.0685215i | ||||
\(315\) | −21.5424 | + | 6.99953i | −0.0683884 | + | 0.0222207i | ||||
\(316\) | −72.8043 | − | 293.698i | −0.230393 | − | 0.929425i | ||||
\(317\) | 293.298 | + | 213.093i | 0.925230 | + | 0.672219i | 0.944820 | − | 0.327589i | \(-0.106236\pi\) |
−0.0195904 | + | 0.999808i | \(0.506236\pi\) | |||||||
\(318\) | 98.0404 | − | 176.587i | 0.308303 | − | 0.555305i | ||||
\(319\) | 90.3589 | + | 124.391i | 0.283257 | + | 0.389941i | ||||
\(320\) | 47.6412 | − | 4.81143i | 0.148879 | − | 0.0150357i | ||||
\(321\) | −23.2082 | − | 16.8618i | −0.0722998 | − | 0.0525289i | ||||
\(322\) | −85.1817 | + | 79.3253i | −0.264539 | + | 0.246352i | ||||
\(323\) | −141.819 | + | 46.0797i | −0.439067 | + | 0.142662i | ||||
\(324\) | −186.041 | − | 75.4589i | −0.574199 | − | 0.232898i | ||||
\(325\) | 68.0593 | − | 49.4480i | 0.209413 | − | 0.152148i | ||||
\(326\) | −44.6126 | − | 8.70321i | −0.136848 | − | 0.0266970i | ||||
\(327\) | −82.4655 | − | 26.7947i | −0.252188 | − | 0.0819409i | ||||
\(328\) | −241.220 | + | 369.797i | −0.735426 | + | 1.12743i | ||||
\(329\) | 188.338 | 0.572455 | ||||||||
\(330\) | 15.7234 | + | 8.73136i | 0.0476466 | + | 0.0264587i | ||||
\(331\) | 88.0333i | 0.265962i | 0.991119 | + | 0.132981i | \(0.0424549\pi\) | ||||
−0.991119 | + | 0.132981i | \(0.957545\pi\) | |||||||
\(332\) | 263.504 | + | 18.7851i | 0.793687 | + | 0.0565816i | ||||
\(333\) | 88.4739 | − | 272.295i | 0.265688 | − | 0.817702i | ||||
\(334\) | 587.701 | + | 114.651i | 1.75958 | + | 0.343267i | ||||
\(335\) | −25.3912 | − | 34.9480i | −0.0757947 | − | 0.104322i | ||||
\(336\) | −11.5927 | − | 66.8044i | −0.0345021 | − | 0.198823i | ||||
\(337\) | −3.58012 | − | 11.0185i | −0.0106235 | − | 0.0326957i | 0.945604 | − | 0.325319i | \(-0.105472\pi\) |
−0.956228 | + | 0.292623i | \(0.905472\pi\) | |||||||
\(338\) | 230.013 | − | 214.199i | 0.680510 | − | 0.633724i | ||||
\(339\) | −14.6099 | + | 20.1088i | −0.0430971 | + | 0.0593181i | ||||
\(340\) | 12.2993 | + | 19.7425i | 0.0361745 | + | 0.0580663i | ||||
\(341\) | −189.145 | + | 581.956i | −0.554679 | + | 1.70662i | ||||
\(342\) | −145.394 | + | 261.878i | −0.425128 | + | 0.765726i | ||||
\(343\) | −189.115 | + | 260.294i | −0.551355 | + | 0.758875i | ||||
\(344\) | −89.8021 | + | 332.440i | −0.261053 | + | 0.966395i | ||||
\(345\) | 3.79088 | + | 11.6671i | 0.0109881 | + | 0.0338178i | ||||
\(346\) | −93.4295 | + | 11.4074i | −0.270027 | + | 0.0329694i | ||||
\(347\) | 15.5579 | + | 21.4136i | 0.0448355 | + | 0.0617108i | 0.830846 | − | 0.556502i | \(-0.187857\pi\) |
−0.786011 | + | 0.618213i | \(0.787857\pi\) | |||||||
\(348\) | −46.7426 | − | 39.3299i | −0.134318 | − | 0.113017i | ||||
\(349\) | −89.5402 | + | 275.576i | −0.256562 | + | 0.789617i | 0.736956 | + | 0.675941i | \(0.236263\pi\) |
−0.993518 | + | 0.113676i | \(0.963737\pi\) | |||||||
\(350\) | −171.867 | + | 80.0013i | −0.491050 | + | 0.228575i | ||||
\(351\) | 63.2083i | 0.180081i | ||||||||
\(352\) | 212.815 | − | 280.381i | 0.604589 | − | 0.796538i | ||||
\(353\) | 217.033 | 0.614825 | 0.307413 | − | 0.951576i | \(-0.400537\pi\) | ||||
0.307413 | + | 0.951576i | \(0.400537\pi\) | |||||||
\(354\) | 73.9850 | + | 158.943i | 0.208997 | + | 0.448991i | ||||
\(355\) | 69.9402 | + | 22.7249i | 0.197015 | + | 0.0640139i | ||||
\(356\) | −120.375 | + | 143.063i | −0.338132 | + | 0.401862i | ||||
\(357\) | 26.6461 | − | 19.3595i | 0.0746390 | − | 0.0542284i | ||||
\(358\) | −22.1190 | − | 181.160i | −0.0617850 | − | 0.506035i | ||||
\(359\) | −222.876 | + | 72.4169i | −0.620825 | + | 0.201718i | −0.602507 | − | 0.798114i | \(-0.705831\pi\) |
−0.0183184 | + | 0.999832i | \(0.505831\pi\) | |||||||
\(360\) | 45.1063 | + | 12.1846i | 0.125295 | + | 0.0338461i | ||||
\(361\) | 5.73832 | + | 4.16913i | 0.0158956 | + | 0.0115488i | ||||
\(362\) | 34.9866 | + | 19.4244i | 0.0966480 | + | 0.0536586i | ||||
\(363\) | 125.747 | − | 40.8334i | 0.346411 | − | 0.112489i | ||||
\(364\) | 45.3229 | − | 28.2355i | 0.124514 | − | 0.0775701i | ||||
\(365\) | 45.2903 | + | 32.9053i | 0.124083 | + | 0.0901516i | ||||
\(366\) | 115.772 | + | 124.319i | 0.316316 | + | 0.339669i | ||||
\(367\) | −269.892 | + | 87.6932i | −0.735400 | + | 0.238946i | −0.652687 | − | 0.757627i | \(-0.726358\pi\) |
−0.0827128 | + | 0.996573i | \(0.526358\pi\) | |||||||
\(368\) | 236.563 | − | 41.0512i | 0.642834 | − | 0.111552i | ||||
\(369\) | −348.537 | + | 253.227i | −0.944546 | + | 0.686253i | ||||
\(370\) | −10.5086 | + | 53.8672i | −0.0284017 | + | 0.145587i | ||||
\(371\) | −340.912 | − | 110.769i | −0.918901 | − | 0.298569i | ||||
\(372\) | 17.2891 | − | 242.519i | 0.0464760 | − | 0.651932i | ||||
\(373\) | 377.208 | 1.01128 | 0.505640 | − | 0.862744i | \(-0.331256\pi\) | ||||
0.505640 | + | 0.862744i | \(0.331256\pi\) | |||||||
\(374\) | 167.824 | + | 32.7550i | 0.448726 | + | 0.0875801i | ||||
\(375\) | 40.4175i | 0.107780i | ||||||||
\(376\) | −325.385 | − | 212.250i | −0.865387 | − | 0.564495i | ||||
\(377\) | 14.8668 | − | 45.7554i | 0.0394346 | − | 0.121367i | ||||
\(378\) | 27.2732 | − | 139.802i | 0.0721513 | − | 0.369847i | ||||
\(379\) | −237.957 | − | 327.520i | −0.627855 | − | 0.864168i | 0.370040 | − | 0.929016i | \(-0.379344\pi\) |
−0.997895 | + | 0.0648476i | \(0.979344\pi\) | |||||||
\(380\) | 21.5812 | − | 53.2075i | 0.0567926 | − | 0.140020i | ||||
\(381\) | −29.9836 | − | 92.2801i | −0.0786971 | − | 0.242205i | ||||
\(382\) | −299.525 | − | 321.638i | −0.784097 | − | 0.841985i | ||||
\(383\) | −106.026 | + | 145.932i | −0.276830 | + | 0.381023i | −0.924681 | − | 0.380744i | \(-0.875668\pi\) |
0.647851 | + | 0.761767i | \(0.275668\pi\) | |||||||
\(384\) | −55.2579 | + | 128.481i | −0.143901 | + | 0.334585i | ||||
\(385\) | 9.86607 | − | 30.3556i | 0.0256262 | − | 0.0788457i | ||||
\(386\) | −157.044 | − | 87.1900i | −0.406849 | − | 0.225881i | ||||
\(387\) | −197.501 | + | 271.837i | −0.510340 | + | 0.702422i | ||||
\(388\) | 416.588 | − | 103.267i | 1.07368 | − | 0.266153i | ||||
\(389\) | 65.7531 | + | 202.367i | 0.169031 | + | 0.520224i | 0.999311 | − | 0.0371228i | \(-0.0118193\pi\) |
−0.830280 | + | 0.557347i | \(0.811819\pi\) | |||||||
\(390\) | −0.682076 | − | 5.58637i | −0.00174891 | − | 0.0143240i | ||||
\(391\) | 68.5545 | + | 94.3572i | 0.175331 | + | 0.241323i | ||||
\(392\) | 253.821 | − | 96.8410i | 0.647504 | − | 0.247043i | ||||
\(393\) | −57.6212 | + | 177.340i | −0.146619 | + | 0.451246i | ||||
\(394\) | −95.6664 | − | 205.521i | −0.242808 | − | 0.521627i | ||||
\(395\) | 56.5975i | 0.143285i | ||||||||
\(396\) | 291.541 | − | 181.590i | 0.736214 | − | 0.458561i | ||||
\(397\) | −510.883 | −1.28686 | −0.643430 | − | 0.765505i | \(-0.722489\pi\) | ||||
−0.643430 | + | 0.765505i | \(0.722489\pi\) | |||||||
\(398\) | 232.475 | − | 108.213i | 0.584108 | − | 0.271892i | ||||
\(399\) | −77.3237 | − | 25.1240i | −0.193794 | − | 0.0629674i | ||||
\(400\) | 387.089 | + | 55.4728i | 0.967722 | + | 0.138682i | ||||
\(401\) | 22.1925 | − | 16.1238i | 0.0553429 | − | 0.0402090i | −0.559770 | − | 0.828648i | \(-0.689110\pi\) |
0.615113 | + | 0.788439i | \(0.289110\pi\) | |||||||
\(402\) | 125.244 | − | 15.2918i | 0.311552 | − | 0.0380394i | ||||
\(403\) | 182.110 | − | 59.1713i | 0.451887 | − | 0.146827i | ||||
\(404\) | −281.242 | + | 69.7166i | −0.696144 | + | 0.172566i | ||||
\(405\) | 30.3798 | + | 22.0722i | 0.0750118 | + | 0.0544992i | ||||
\(406\) | −52.6247 | + | 94.7858i | −0.129617 | + | 0.233463i | ||||
\(407\) | 237.114 | + | 326.420i | 0.582590 | + | 0.802014i | ||||
\(408\) | −67.8532 | + | 3.41765i | −0.166307 | + | 0.00837661i | ||||
\(409\) | −107.946 | − | 78.4274i | −0.263927 | − | 0.191754i | 0.447950 | − | 0.894059i | \(-0.352154\pi\) |
−0.711876 | + | 0.702305i | \(0.752154\pi\) | |||||||
\(410\) | 60.4360 | − | 56.2809i | 0.147405 | − | 0.137270i | ||||
\(411\) | −92.6624 | + | 30.1078i | −0.225456 | + | 0.0732551i | ||||
\(412\) | 31.5221 | − | 77.7164i | 0.0765100 | − | 0.188632i | ||||
\(413\) | 251.721 | − | 182.886i | 0.609493 | − | 0.442822i | ||||
\(414\) | 229.944 | + | 44.8585i | 0.555421 | + | 0.108354i | ||||
\(415\) | −46.9938 | − | 15.2692i | −0.113238 | − | 0.0367933i | ||||
\(416\) | −110.124 | − | 2.29568i | −0.264720 | − | 0.00551847i | ||||
\(417\) | 195.747 | 0.469417 | ||||||||
\(418\) | −178.089 | − | 382.677i | −0.426049 | − | 0.915495i | ||||
\(419\) | − | 302.402i | − | 0.721723i | −0.932619 | − | 0.360861i | \(-0.882483\pi\) | ||
0.932619 | − | 0.360861i | \(-0.117517\pi\) | |||||||
\(420\) | −0.901820 | + | 12.6501i | −0.00214719 | + | 0.0301192i | ||||
\(421\) | −32.1608 | + | 98.9806i | −0.0763914 | + | 0.235108i | −0.981959 | − | 0.189093i | \(-0.939445\pi\) |
0.905568 | + | 0.424202i | \(0.139445\pi\) | |||||||
\(422\) | −565.179 | − | 110.257i | −1.33929 | − | 0.261273i | ||||
\(423\) | −222.815 | − | 306.679i | −0.526750 | − | 0.725009i | ||||
\(424\) | 464.151 | + | 575.569i | 1.09470 | + | 1.35747i | ||||
\(425\) | 58.6997 | + | 180.659i | 0.138117 | + | 0.425081i | ||||
\(426\) | −157.191 | + | 146.384i | −0.368993 | + | 0.343624i | ||||
\(427\) | 177.210 | − | 243.908i | 0.415011 | − | 0.571213i | ||||
\(428\) | 89.1354 | − | 55.5300i | 0.208260 | − | 0.129743i | ||||
\(429\) | −33.4680 | − | 24.3204i | −0.0780139 | − | 0.0566909i | ||||
\(430\) | 31.2648 | − | 56.3131i | 0.0727088 | − | 0.130961i | ||||
\(431\) | 197.345 | − | 271.622i | 0.457876 | − | 0.630213i | −0.516190 | − | 0.856474i | \(-0.672650\pi\) |
0.974067 | + | 0.226261i | \(0.0726503\pi\) | |||||||
\(432\) | −204.671 | + | 210.796i | −0.473776 | + | 0.487954i | ||||
\(433\) | −197.554 | − | 608.008i | −0.456244 | − | 1.40418i | −0.869668 | − | 0.493637i | \(-0.835667\pi\) |
0.413424 | − | 0.910539i | \(-0.364333\pi\) | |||||||
\(434\) | −428.318 | + | 52.2961i | −0.986907 | + | 0.120498i | ||||
\(435\) | 6.71613 | + | 9.24396i | 0.0154394 | + | 0.0212505i | ||||
\(436\) | 204.368 | − | 242.886i | 0.468733 | − | 0.557079i | ||||
\(437\) | 88.9672 | − | 273.813i | 0.203586 | − | 0.626574i | ||||
\(438\) | −148.240 | + | 69.0032i | −0.338448 | + | 0.157542i | ||||
\(439\) | 419.823i | 0.956317i | 0.878273 | + | 0.478159i | \(0.158696\pi\) | ||||
−0.878273 | + | 0.478159i | \(0.841304\pi\) | |||||||
\(440\) | −51.2550 | + | 41.3257i | −0.116489 | + | 0.0939221i | ||||
\(441\) | 265.084 | 0.601097 | ||||||||
\(442\) | −22.5798 | − | 48.5083i | −0.0510855 | − | 0.109747i | ||||
\(443\) | 238.218 | + | 77.4017i | 0.537738 | + | 0.174722i | 0.565280 | − | 0.824899i | \(-0.308768\pi\) |
−0.0275424 | + | 0.999621i | \(0.508768\pi\) | |||||||
\(444\) | −122.659 | − | 103.207i | −0.276259 | − | 0.232448i | ||||
\(445\) | 28.2925 | − | 20.5557i | 0.0635787 | − | 0.0461926i | ||||
\(446\) | −37.2895 | − | 305.410i | −0.0836087 | − | 0.684776i | ||||
\(447\) | 123.112 | − | 40.0015i | 0.275418 | − | 0.0894888i | ||||
\(448\) | 242.578 | + | 52.5938i | 0.541468 | + | 0.117397i | ||||
\(449\) | −88.8032 | − | 64.5193i | −0.197780 | − | 0.143695i | 0.484488 | − | 0.874798i | \(-0.339006\pi\) |
−0.682268 | + | 0.731103i | \(0.739006\pi\) | |||||||
\(450\) | 333.600 | + | 185.213i | 0.741333 | + | 0.411585i | ||||
\(451\) | 0.0531724 | − | 607.085i | 0.000117899 | − | 1.34609i | ||||
\(452\) | −48.1141 | − | 77.2316i | −0.106447 | − | 0.170866i | ||||
\(453\) | 128.382 | + | 93.2749i | 0.283404 | + | 0.205905i | ||||
\(454\) | −440.309 | − | 472.816i | −0.969844 | − | 1.04145i | ||||
\(455\) | −9.49911 | + | 3.08645i | −0.0208772 | + | 0.00678340i | ||||
\(456\) | 105.276 | + | 130.547i | 0.230868 | + | 0.286288i | ||||
\(457\) | −258.376 | + | 187.721i | −0.565375 | + | 0.410769i | −0.833422 | − | 0.552637i | \(-0.813622\pi\) |
0.268047 | + | 0.963406i | \(0.413622\pi\) | |||||||
\(458\) | −109.191 | + | 559.715i | −0.238409 | + | 1.22208i | ||||
\(459\) | −135.739 | − | 44.1042i | −0.295727 | − | 0.0960877i | ||||
\(460\) | −44.7955 | − | 3.19346i | −0.0973816 | − | 0.00694230i | ||||
\(461\) | −635.144 | −1.37775 | −0.688876 | − | 0.724879i | \(-0.741896\pi\) | ||||
−0.688876 | + | 0.724879i | \(0.741896\pi\) | |||||||
\(462\) | 63.5297 | + | 68.2319i | 0.137510 | + | 0.147688i | ||||
\(463\) | 735.608i | 1.58879i | 0.607404 | + | 0.794393i | \(0.292211\pi\) | ||||
−0.607404 | + | 0.794393i | \(0.707789\pi\) | |||||||
\(464\) | 197.738 | − | 104.452i | 0.426160 | − | 0.225113i | ||||
\(465\) | −14.0532 | + | 43.2513i | −0.0302219 | + | 0.0930135i | ||||
\(466\) | −74.6865 | + | 382.843i | −0.160271 | + | 0.821551i | ||||
\(467\) | 172.418 | + | 237.313i | 0.369204 | + | 0.508166i | 0.952684 | − | 0.303962i | \(-0.0983094\pi\) |
−0.583480 | + | 0.812127i | \(0.698309\pi\) | |||||||
\(468\) | −99.5971 | − | 40.3970i | −0.212814 | − | 0.0863185i | ||||
\(469\) | −69.1969 | − | 212.966i | −0.147541 | − | 0.454085i | ||||
\(470\) | 49.5217 | + | 53.1778i | 0.105365 | + | 0.113144i | ||||
\(471\) | 57.0083 | − | 78.4652i | 0.121037 | − | 0.166593i | ||||
\(472\) | −640.996 | + | 32.2859i | −1.35804 | + | 0.0684023i | ||||
\(473\) | −146.277 | − | 450.327i | −0.309253 | − | 0.952066i | ||||
\(474\) | −144.530 | − | 80.2426i | −0.304916 | − | 0.169288i | ||||
\(475\) | 275.615 | − | 379.351i | 0.580242 | − | 0.798634i | ||||
\(476\) | 29.0109 | + | 117.032i | 0.0609472 | + | 0.245866i | ||||
\(477\) | 222.950 | + | 686.170i | 0.467401 | + | 1.43851i | ||||
\(478\) | −51.2244 | − | 419.541i | −0.107164 | − | 0.877700i | ||||
\(479\) | 59.1076 | + | 81.3546i | 0.123398 | + | 0.169843i | 0.866247 | − | 0.499617i | \(-0.166526\pi\) |
−0.742849 | + | 0.669459i | \(0.766526\pi\) | |||||||
\(480\) | 15.8142 | − | 20.8389i | 0.0329464 | − | 0.0434143i | ||||
\(481\) | 39.0126 | − | 120.069i | 0.0811074 | − | 0.249623i | ||||
\(482\) | 277.076 | + | 595.245i | 0.574847 | + | 1.23495i | ||||
\(483\) | 63.5911i | 0.131659i | ||||||||
\(484\) | −34.5014 | + | 482.769i | −0.0712839 | + | 0.997456i | ||||
\(485\) | −80.2792 | −0.165524 | ||||||||
\(486\) | −399.100 | + | 185.774i | −0.821194 | + | 0.382252i | ||||
\(487\) | −113.789 | − | 36.9723i | −0.233653 | − | 0.0759186i | 0.189850 | − | 0.981813i | \(-0.439200\pi\) |
−0.423503 | + | 0.905895i | \(0.639200\pi\) | |||||||
\(488\) | −581.036 | + | 221.684i | −1.19065 | + | 0.454270i | ||||
\(489\) | −20.0899 | + | 14.5962i | −0.0410837 | + | 0.0298490i | ||||
\(490\) | −50.4396 | + | 6.15849i | −0.102938 | + | 0.0125684i | ||||
\(491\) | 265.485 | − | 86.2615i | 0.540704 | − | 0.175685i | −0.0259170 | − | 0.999664i | \(-0.508251\pi\) |
0.566621 | + | 0.823979i | \(0.308251\pi\) | |||||||
\(492\) | 58.0371 | + | 234.126i | 0.117962 | + | 0.475866i | ||||
\(493\) | 87.8857 | + | 63.8527i | 0.178267 | + | 0.129519i | ||||
\(494\) | −64.1114 | + | 115.475i | −0.129780 | + | 0.233756i | ||||
\(495\) | −61.1016 | + | 19.8472i | −0.123438 | + | 0.0400953i | ||||
\(496\) | 798.928 | + | 392.349i | 1.61074 | + | 0.791026i | ||||
\(497\) | 308.402 | + | 224.067i | 0.620527 | + | 0.450839i | ||||
\(498\) | 105.619 | − | 98.3575i | 0.212086 | − | 0.197505i | ||||
\(499\) | 160.821 | − | 52.2540i | 0.322287 | − | 0.104717i | −0.143405 | − | 0.989664i | \(-0.545805\pi\) |
0.465693 | + | 0.884947i | \(0.345805\pi\) | |||||||
\(500\) | −137.112 | − | 55.6131i | −0.274223 | − | 0.111226i | ||||
\(501\) | 264.653 | − | 192.282i | 0.528250 | − | 0.383796i | ||||
\(502\) | 164.668 | + | 32.1242i | 0.328025 | + | 0.0639924i | ||||
\(503\) | 591.543 | + | 192.204i | 1.17603 | + | 0.382115i | 0.830890 | − | 0.556436i | \(-0.187832\pi\) |
0.345139 | + | 0.938552i | \(0.387832\pi\) | |||||||
\(504\) | 202.855 | + | 132.323i | 0.402491 | + | 0.262546i | ||||
\(505\) | 54.1971 | 0.107321 | ||||||||
\(506\) | −241.618 | + | 224.967i | −0.477505 | + | 0.444598i | ||||
\(507\) | − | 171.712i | − | 0.338683i | ||||||
\(508\) | 354.306 | + | 25.2583i | 0.697453 | + | 0.0497212i | ||||
\(509\) | 97.9151 | − | 301.352i | 0.192367 | − | 0.592046i | −0.807630 | − | 0.589690i | \(-0.799250\pi\) |
0.999997 | − | 0.00235633i | \(-0.000750043\pi\) | |||||||
\(510\) | 12.4726 | + | 2.43320i | 0.0244561 | + | 0.00477099i | ||||
\(511\) | 170.571 | + | 234.771i | 0.333798 | + | 0.459434i | ||||
\(512\) | −359.823 | − | 364.241i | −0.702779 | − | 0.711408i | ||||
\(513\) | 108.871 | + | 335.069i | 0.212223 | + | 0.653156i | ||||
\(514\) | 236.984 | − | 220.691i | 0.461059 | − | 0.429360i | ||||
\(515\) | −9.22042 | + | 12.6908i | −0.0179037 | + | 0.0246424i | ||||
\(516\) | 99.4775 | + | 159.679i | 0.192786 | + | 0.309455i | ||||
\(517\) | 534.176 | + | 0.0467866i | 1.03322 | + | 9.04962e-5i | ||||
\(518\) | −138.094 | + | 248.731i | −0.266591 | + | 0.480176i | ||||
\(519\) | −30.2251 | + | 41.6013i | −0.0582372 | + | 0.0801566i | ||||
\(520\) | 19.8897 | + | 5.37280i | 0.0382493 | + | 0.0103323i | ||||
\(521\) | −108.271 | − | 333.223i | −0.207814 | − | 0.639584i | −0.999586 | − | 0.0287683i | \(-0.990842\pi\) |
0.791773 | − | 0.610816i | \(-0.209158\pi\) | |||||||
\(522\) | 216.602 | − | 26.4464i | 0.414947 | − | 0.0506635i | ||||
\(523\) | −397.190 | − | 546.685i | −0.759445 | − | 1.04529i | −0.997260 | − | 0.0739759i | \(-0.976431\pi\) |
0.237815 | − | 0.971310i | \(-0.423569\pi\) | |||||||
\(524\) | −522.320 | − | 439.487i | −0.996794 | − | 0.838716i | ||||
\(525\) | −32.0048 | + | 98.5007i | −0.0609615 | + | 0.187620i | ||||
\(526\) | 723.939 | − | 336.981i | 1.37631 | − | 0.640648i | ||||
\(527\) | 432.367i | 0.820431i | ||||||||
\(528\) | −32.8634 | − | 189.478i | −0.0622413 | − | 0.358860i | ||||
\(529\) | 303.816 | 0.574321 | ||||||||
\(530\) | −58.3638 | − | 125.383i | −0.110120 | − | 0.236573i | ||||
\(531\) | −595.602 | − | 193.523i | −1.12166 | − | 0.364450i | ||||
\(532\) | 191.625 | − | 227.742i | 0.360198 | − | 0.428087i | ||||
\(533\) | −153.688 | + | 111.661i | −0.288345 | + | 0.209495i | ||||
\(534\) | 12.3797 | + | 101.393i | 0.0231829 | + | 0.189874i | ||||
\(535\) | −18.6816 | + | 6.07003i | −0.0349190 | + | 0.0113459i | ||||
\(536\) | −120.456 | + | 445.917i | −0.224731 | + | 0.831936i | ||||
\(537\) | −80.6652 | − | 58.6067i | −0.150215 | − | 0.109137i | ||||
\(538\) | 111.543 | + | 61.9281i | 0.207329 | + | 0.115108i | ||||
\(539\) | −219.590 | + | 302.184i | −0.407402 | + | 0.560638i | ||||
\(540\) | 46.6449 | − | 29.0591i | 0.0863794 | − | 0.0538131i | ||||
\(541\) | −307.422 | − | 223.355i | −0.568247 | − | 0.412856i | 0.266221 | − | 0.963912i | \(-0.414225\pi\) |
−0.834468 | + | 0.551056i | \(0.814225\pi\) | |||||||
\(542\) | −232.794 | − | 249.981i | −0.429510 | − | 0.461220i | ||||
\(543\) | 20.7924 | − | 6.75585i | 0.0382917 | − | 0.0124417i | ||||
\(544\) | 81.7698 | − | 234.887i | 0.150312 | − | 0.431778i | ||||
\(545\) | −48.0339 | + | 34.8987i | −0.0881357 | + | 0.0640343i | ||||
\(546\) | 5.58590 | − | 28.6333i | 0.0102306 | − | 0.0524420i | ||||
\(547\) | 222.878 | + | 72.4175i | 0.407455 | + | 0.132390i | 0.505571 | − | 0.862785i | \(-0.331282\pi\) |
−0.0981162 | + | 0.995175i | \(0.531282\pi\) | |||||||
\(548\) | 25.3630 | − | 355.774i | 0.0462829 | − | 0.649223i | ||||
\(549\) | −606.817 | −1.10531 | ||||||||
\(550\) | −487.482 | + | 226.862i | −0.886331 | + | 0.412477i | ||||
\(551\) | − | 268.158i | − | 0.486675i | ||||||
\(552\) | 71.6650 | − | 109.865i | 0.129828 | − | 0.199030i | ||||
\(553\) | −90.6606 | + | 279.025i | −0.163943 | + | 0.504566i | ||||
\(554\) | 123.963 | − | 635.436i | 0.223761 | − | 1.14700i | ||||
\(555\) | 17.6240 | + | 24.2574i | 0.0317550 | + | 0.0437071i | ||||
\(556\) | −269.341 | + | 664.049i | −0.484427 | + | 1.19433i | ||||
\(557\) | −15.6464 | − | 48.1548i | −0.0280906 | − | 0.0864539i | 0.936028 | − | 0.351925i | \(-0.114473\pi\) |
−0.964119 | + | 0.265471i | \(0.914473\pi\) | |||||||
\(558\) | 591.883 | + | 635.580i | 1.06072 | + | 1.13903i | ||||
\(559\) | −87.0884 | + | 119.867i | −0.155793 | + | 0.214431i | ||||
\(560\) | −41.6731 | − | 20.4654i | −0.0744163 | − | 0.0365454i | ||||
\(561\) | 75.5803 | − | 54.9022i | 0.134724 | − | 0.0978649i | ||||
\(562\) | −668.717 | − | 371.269i | −1.18989 | − | 0.660621i | ||||
\(563\) | 306.745 | − | 422.198i | 0.544840 | − | 0.749908i | −0.444460 | − | 0.895798i | \(-0.646605\pi\) |
0.989301 | + | 0.145890i | \(0.0466046\pi\) | |||||||
\(564\) | −206.008 | + | 51.0670i | −0.365263 | + | 0.0905443i | ||||
\(565\) | 5.25940 | + | 16.1868i | 0.00930866 | + | 0.0286491i | ||||
\(566\) | 106.855 | + | 875.173i | 0.188791 | + | 1.54624i | ||||
\(567\) | 114.415 | + | 157.479i | 0.201791 | + | 0.277741i | ||||
\(568\) | −280.301 | − | 734.672i | −0.493488 | − | 1.29344i | ||||
\(569\) | 87.5395 | − | 269.419i | 0.153848 | − | 0.473495i | −0.844194 | − | 0.536037i | \(-0.819921\pi\) |
0.998042 | + | 0.0625419i | \(0.0199207\pi\) | |||||||
\(570\) | −13.2377 | − | 28.4387i | −0.0232241 | − | 0.0498925i | ||||
\(571\) | − | 187.846i | − | 0.328977i | −0.986379 | − | 0.164488i | \(-0.947403\pi\) | ||
0.986379 | − | 0.164488i | \(-0.0525973\pi\) | |||||||
\(572\) | 128.555 | − | 80.0723i | 0.224746 | − | 0.139986i | ||||
\(573\) | −240.114 | −0.419047 | ||||||||
\(574\) | 388.102 | − | 180.655i | 0.676135 | − | 0.314729i | ||||
\(575\) | −348.803 | − | 113.333i | −0.606614 | − | 0.197101i | ||||
\(576\) | −201.344 | − | 457.222i | −0.349555 | − | 0.793788i | ||||
\(577\) | −762.773 | + | 554.187i | −1.32196 | + | 0.960463i | −0.322058 | + | 0.946720i | \(0.604374\pi\) |
−0.999906 | + | 0.0137424i | \(0.995626\pi\) | |||||||
\(578\) | −453.813 | + | 55.4089i | −0.785144 | + | 0.0958632i | ||||
\(579\) | −93.3304 | + | 30.3249i | −0.161192 | + | 0.0523746i | ||||
\(580\) | −40.6003 | + | 10.0643i | −0.0700005 | + | 0.0173523i | ||||
\(581\) | −207.220 | − | 150.554i | −0.356661 | − | 0.259129i | ||||
\(582\) | 113.818 | − | 205.005i | 0.195563 | − | 0.352242i | ||||
\(583\) | −966.891 | − | 314.256i | −1.65848 | − | 0.539032i | ||||
\(584\) | −30.1119 | − | 597.834i | −0.0515615 | − | 1.02369i | ||||
\(585\) | 16.2639 | + | 11.8164i | 0.0278015 | + | 0.0201989i | ||||
\(586\) | 765.140 | − | 712.535i | 1.30570 | − | 1.21593i | ||||
\(587\) | 29.3693 | − | 9.54266i | 0.0500329 | − | 0.0162567i | −0.283894 | − | 0.958856i | \(-0.591626\pi\) |
0.333927 | + | 0.942599i | \(0.391626\pi\) | |||||||
\(588\) | 55.7854 | − | 137.537i | 0.0948732 | − | 0.233906i | ||||
\(589\) | 863.456 | − | 627.337i | 1.46597 | − | 1.06509i | ||||
\(590\) | 117.826 | + | 22.9860i | 0.199705 | + | 0.0389593i | ||||
\(591\) | −117.788 | − | 38.2717i | −0.199303 | − | 0.0647575i | ||||
\(592\) | 518.893 | − | 274.098i | 0.876508 | − | 0.463003i | ||||
\(593\) | −313.027 | −0.527870 | −0.263935 | − | 0.964540i | \(-0.585020\pi\) | ||||
−0.263935 | + | 0.964540i | \(0.585020\pi\) | |||||||
\(594\) | 77.3888 | − | 396.510i | 0.130284 | − | 0.667525i | ||||
\(595\) | − | 22.5528i | − | 0.0379039i | ||||||
\(596\) | −33.6975 | + | 472.684i | −0.0565394 | + | 0.793094i | ||||
\(597\) | 43.2910 | − | 133.236i | 0.0725143 | − | 0.223176i | ||||
\(598\) | 101.394 | + | 19.7804i | 0.169555 | + | 0.0330776i | ||||
\(599\) | 533.190 | + | 733.872i | 0.890133 | + | 1.22516i | 0.973510 | + | 0.228645i | \(0.0734294\pi\) |
−0.0833771 | + | 0.996518i | \(0.526571\pi\) | |||||||
\(600\) | 166.301 | − | 134.108i | 0.277168 | − | 0.223514i | ||||
\(601\) | 320.006 | + | 984.877i | 0.532456 | + | 1.63873i | 0.749083 | + | 0.662477i | \(0.230495\pi\) |
−0.216627 | + | 0.976255i | \(0.569505\pi\) | |||||||
\(602\) | 244.340 | − | 227.541i | 0.405880 | − | 0.377975i | ||||
\(603\) | −264.918 | + | 364.629i | −0.439334 | + | 0.604691i | ||||
\(604\) | −493.074 | + | 307.178i | −0.816347 | + | 0.508572i | ||||
\(605\) | 27.9904 | − | 86.0941i | 0.0462650 | − | 0.142304i | ||||
\(606\) | −76.8394 | + | 138.401i | −0.126798 | + | 0.228384i | ||||
\(607\) | −290.604 | + | 399.983i | −0.478755 | + | 0.658950i | −0.978265 | − | 0.207358i | \(-0.933513\pi\) |
0.499510 | + | 0.866308i | \(0.333513\pi\) | |||||||
\(608\) | −587.723 | + | 177.508i | −0.966649 | + | 0.291955i | ||||
\(609\) | 18.3030 | + | 56.3308i | 0.0300542 | + | 0.0924972i | ||||
\(610\) | 115.464 | − | 14.0977i | 0.189285 | − | 0.0231110i | ||||
\(611\) | −98.2505 | − | 135.230i | −0.160803 | − | 0.221326i | ||||
\(612\) | 156.247 | − | 185.696i | 0.255306 | − | 0.303425i | ||||
\(613\) | −252.174 | + | 776.112i | −0.411377 | + | 1.26609i | 0.504075 | + | 0.863660i | \(0.331834\pi\) |
−0.915452 | + | 0.402428i | \(0.868166\pi\) | |||||||
\(614\) | 957.509 | − | 445.704i | 1.55946 | − | 0.725902i | ||||
\(615\) | − | 45.1176i | − | 0.0733619i | ||||||
\(616\) | −318.884 | + | 121.632i | −0.517669 | + | 0.197455i | ||||
\(617\) | 965.796 | 1.56531 | 0.782654 | − | 0.622457i | \(-0.213865\pi\) | ||||
0.782654 | + | 0.622457i | \(0.213865\pi\) | |||||||
\(618\) | −19.3354 | − | 41.5384i | −0.0312871 | − | 0.0672143i | ||||
\(619\) | −1.84967 | − | 0.600994i | −0.00298816 | − | 0.000970911i | 0.307523 | − | 0.951541i | \(-0.400500\pi\) |
−0.310511 | + | 0.950570i | \(0.600500\pi\) | |||||||
\(620\) | −127.388 | − | 107.186i | −0.205465 | − | 0.172881i | ||||
\(621\) | 222.934 | − | 161.971i | 0.358992 | − | 0.260823i | ||||
\(622\) | 77.2870 | + | 633.000i | 0.124256 | + | 1.01769i | ||||
\(623\) | 172.409 | − | 56.0190i | 0.276740 | − | 0.0899182i | ||||
\(624\) | −41.9193 | + | 43.1738i | −0.0671784 | + | 0.0691888i | ||||
\(625\) | −471.924 | − | 342.873i | −0.755079 | − | 0.548597i | ||||
\(626\) | 563.716 | + | 312.973i | 0.900504 | + | 0.499956i | ||||
\(627\) | −219.304 | − | 71.2776i | −0.349768 | − | 0.113680i | ||||
\(628\) | 187.743 | + | 301.360i | 0.298953 | + | 0.479872i | ||||
\(629\) | 230.624 | + | 167.558i | 0.366652 | + | 0.266388i | ||||
\(630\) | −30.8734 | − | 33.1527i | −0.0490054 | − | 0.0526233i | ||||
\(631\) | −408.093 | + | 132.598i | −0.646740 | + | 0.210139i | −0.613976 | − | 0.789324i | \(-0.710431\pi\) |
−0.0327641 | + | 0.999463i | \(0.510431\pi\) | |||||||
\(632\) | 471.083 | − | 379.891i | 0.745384 | − | 0.601094i | ||||
\(633\) | −254.511 | + | 184.913i | −0.402071 | + | 0.292122i | ||||
\(634\) | −138.833 | + | 711.657i | −0.218979 | + | 1.12249i | ||||
\(635\) | −63.1877 | − | 20.5309i | −0.0995081 | − | 0.0323322i | ||||
\(636\) | 402.932 | + | 28.7249i | 0.633542 | + | 0.0451649i | ||||
\(637\) | 116.889 | 0.183499 | ||||||||
\(638\) | −149.281 | + | 268.825i | −0.233983 | + | 0.421355i | ||||
\(639\) | − | 767.271i | − | 1.20074i | ||||||
\(640\) | 48.9336 | + | 82.3216i | 0.0764587 | + | 0.128628i | ||||
\(641\) | −86.8750 | + | 267.374i | −0.135530 | + | 0.417120i | −0.995672 | − | 0.0929354i | \(-0.970375\pi\) |
0.860142 | + | 0.510055i | \(0.170375\pi\) | |||||||
\(642\) | 10.9856 | − | 56.3123i | 0.0171116 | − | 0.0877139i | ||||
\(643\) | 367.425 | + | 505.717i | 0.571422 | + | 0.786495i | 0.992722 | − | 0.120426i | \(-0.0384260\pi\) |
−0.421300 | + | 0.906921i | \(0.638426\pi\) | |||||||
\(644\) | −215.726 | − | 87.4993i | −0.334978 | − | 0.135869i | ||||
\(645\) | −10.8740 | − | 33.4666i | −0.0168589 | − | 0.0518862i | ||||
\(646\) | −203.247 | − | 218.253i | −0.314624 | − | 0.337852i | ||||
\(647\) | −4.40525 | + | 6.06331i | −0.00680874 | + | 0.00937142i | −0.812408 | − | 0.583090i | \(-0.801844\pi\) |
0.805599 | + | 0.592461i | \(0.201844\pi\) | |||||||
\(648\) | −20.1984 | − | 401.014i | −0.0311704 | − | 0.618849i | ||||
\(649\) | 713.992 | − | 518.650i | 1.10014 | − | 0.799153i | ||||
\(650\) | 147.101 | + | 81.6699i | 0.226309 | + | 0.125646i | ||||
\(651\) | −138.564 | + | 190.717i | −0.212848 | + | 0.292960i | ||||
\(652\) | −21.8728 | − | 88.2366i | −0.0335473 | − | 0.135332i | ||||
\(653\) | 338.138 | + | 1040.68i | 0.517823 | + | 1.59369i | 0.778087 | + | 0.628157i | \(0.216190\pi\) |
−0.260264 | + | 0.965538i | \(0.583810\pi\) | |||||||
\(654\) | −21.0177 | − | 172.140i | −0.0321372 | − | 0.263212i | ||||
\(655\) | 75.0487 | + | 103.296i | 0.114578 | + | 0.157703i | ||||
\(656\) | −874.103 | − | 125.266i | −1.33247 | − | 0.190954i | ||||
\(657\) | 180.492 | − | 555.497i | 0.274721 | − | 0.845506i | ||||
\(658\) | 158.958 | + | 341.492i | 0.241578 | + | 0.518984i | ||||
\(659\) | 690.561i | 1.04789i | 0.851752 | + | 0.523946i | \(0.175541\pi\) | ||||
−0.851752 | + | 0.523946i | \(0.824459\pi\) | |||||||
\(660\) | −2.56094 | + | 35.8788i | −0.00388022 | + | 0.0543618i | ||||
\(661\) | −981.006 | −1.48412 | −0.742062 | − | 0.670331i | \(-0.766152\pi\) | ||||
−0.742062 | + | 0.670331i | \(0.766152\pi\) | |||||||
\(662\) | −159.621 | + | 74.3008i | −0.241119 | + | 0.112237i | ||||
\(663\) | −27.8011 | − | 9.03312i | −0.0419322 | − | 0.0136246i | ||||
\(664\) | 188.338 | + | 493.637i | 0.283642 | + | 0.743429i | ||||
\(665\) | −45.0390 | + | 32.7227i | −0.0677278 | + | 0.0492071i | ||||
\(666\) | 568.394 | − | 69.3989i | 0.853445 | − | 0.104203i | ||||
\(667\) | −199.474 | + | 64.8132i | −0.299062 | + | 0.0971711i | ||||
\(668\) | 288.140 | + | 1162.38i | 0.431347 | + | 1.74009i | ||||
\(669\) | −135.990 | − | 98.8024i | −0.203273 | − | 0.147687i | ||||
\(670\) | 41.9370 | − | 75.5355i | 0.0625925 | − | 0.112739i | ||||
\(671\) | 502.674 | − | 691.744i | 0.749142 | − | 1.03092i | ||||
\(672\) | 111.345 | − | 77.4032i | 0.165691 | − | 0.115183i | ||||
\(673\) | 173.221 | + | 125.852i | 0.257386 | + | 0.187002i | 0.708994 | − | 0.705214i | \(-0.249149\pi\) |
−0.451608 | + | 0.892217i | \(0.649149\pi\) | |||||||
\(674\) | 16.9569 | − | 15.7911i | 0.0251586 | − | 0.0234289i | ||||
\(675\) | 426.836 | − | 138.687i | 0.632349 | − | 0.205463i | ||||
\(676\) | 582.515 | + | 236.271i | 0.861708 | + | 0.349513i | ||||
\(677\) | 909.036 | − | 660.454i | 1.34274 | − | 0.975559i | 0.343404 | − | 0.939188i | \(-0.388420\pi\) |
0.999338 | − | 0.0363712i | \(-0.0115799\pi\) | |||||||
\(678\) | −48.7920 | − | 9.51853i | −0.0719645 | − | 0.0140391i | ||||
\(679\) | −395.775 | − | 128.595i | −0.582879 | − | 0.189389i | ||||
\(680\) | −25.4162 | + | 38.9638i | −0.0373768 | + | 0.0572998i | ||||
\(681\) | −352.974 | −0.518317 | ||||||||
\(682\) | −1214.84 | + | 148.219i | −1.78129 | + | 0.217330i | ||||
\(683\) | 87.6213i | 0.128289i | 0.997941 | + | 0.0641445i | \(0.0204318\pi\) | ||||
−0.997941 | + | 0.0641445i | \(0.979568\pi\) | |||||||
\(684\) | −597.548 | − | 42.5990i | −0.873608 | − | 0.0622792i | ||||
\(685\) | −20.6160 | + | 63.4495i | −0.0300963 | + | 0.0926270i | ||||
\(686\) | −631.576 | − | 123.210i | −0.920665 | − | 0.179607i | ||||
\(687\) | 183.125 | + | 252.050i | 0.266558 | + | 0.366885i | ||||
\(688\) | −678.570 | + | 117.753i | −0.986293 | + | 0.171153i | ||||
\(689\) | 98.3100 | + | 302.567i | 0.142685 | + | 0.439140i | ||||
\(690\) | −17.9552 | + | 16.7207i | −0.0260220 | + | 0.0242329i | ||||
\(691\) | 316.481 | − | 435.598i | 0.458004 | − | 0.630388i | −0.516090 | − | 0.856535i | \(-0.672613\pi\) |
0.974093 | + | 0.226147i | \(0.0726129\pi\) | |||||||
\(692\) | −99.5389 | − | 159.777i | −0.143842 | − | 0.230892i | ||||
\(693\) | −333.022 | − | 0.0291682i | −0.480551 | − | 4.20898e-5i | ||||
\(694\) | −25.6960 | + | 46.2827i | −0.0370259 | + | 0.0666898i | ||||
\(695\) | 78.7840 | − | 108.437i | 0.113358 | − | 0.156024i | ||||
\(696\) | 31.8613 | − | 117.948i | 0.0457777 | − | 0.169465i | ||||
\(697\) | −132.553 | − | 407.955i | −0.190176 | − | 0.585301i | ||||
\(698\) | −575.244 | + | 70.2352i | −0.824132 | + | 0.100624i | ||||
\(699\) | 125.257 | + | 172.401i | 0.179195 | + | 0.246640i | ||||
\(700\) | −290.115 | − | 244.106i | −0.414450 | − | 0.348723i | ||||
\(701\) | 253.827 | − | 781.200i | 0.362093 | − | 1.11441i | −0.589688 | − | 0.807631i | \(-0.700749\pi\) |
0.951781 | − | 0.306777i | \(-0.0992506\pi\) | |||||||
\(702\) | −114.608 | + | 53.3482i | −0.163260 | + | 0.0759947i | ||||
\(703\) | − | 703.683i | − | 1.00097i | ||||||
\(704\) | 688.002 | + | 149.230i | 0.977275 | + | 0.211975i | ||||
\(705\) | 39.6991 | 0.0563107 | ||||||||
\(706\) | 183.178 | + | 393.522i | 0.259459 | + | 0.557397i | ||||
\(707\) | 267.191 | + | 86.8156i | 0.377922 | + | 0.122794i | ||||
\(708\) | −225.749 | + | 268.298i | −0.318855 | + | 0.378951i | ||||
\(709\) | −574.514 | + | 417.409i | −0.810315 | + | 0.588729i | −0.913922 | − | 0.405890i | \(-0.866962\pi\) |
0.103607 | + | 0.994618i | \(0.466962\pi\) | |||||||
\(710\) | 17.8254 | + | 145.995i | 0.0251062 | + | 0.205626i | ||||
\(711\) | 561.606 | − | 182.477i | 0.789882 | − | 0.256648i | ||||
\(712\) | −360.997 | − | 97.5163i | −0.507018 | − | 0.136961i | ||||
\(713\) | −675.352 | − | 490.672i | −0.947198 | − | 0.688180i | ||||
\(714\) | 57.5920 | + | 31.9748i | 0.0806611 | + | 0.0447827i | ||||
\(715\) | −26.9428 | + | 8.75163i | −0.0376822 | + | 0.0122400i | ||||
\(716\) | 309.809 | − | 193.007i | 0.432695 | − | 0.269562i | ||||
\(717\) | −186.809 | − | 135.724i | −0.260542 | − | 0.189295i | ||||
\(718\) | −319.415 | − | 342.996i | −0.444867 | − | 0.477710i | ||||
\(719\) | 878.206 | − | 285.347i | 1.22143 | − | 0.396866i | 0.373826 | − | 0.927499i | \(-0.378046\pi\) |
0.847602 | + | 0.530633i | \(0.178046\pi\) | |||||||
\(720\) | 15.9771 | + | 92.0701i | 0.0221904 | + | 0.127875i | ||||
\(721\) | −65.7852 | + | 47.7958i | −0.0912417 | + | 0.0662909i | ||||
\(722\) | −2.71624 | + | 13.9234i | −0.00376210 | + | 0.0192845i | ||||
\(723\) | 341.147 | + | 110.845i | 0.471849 | + | 0.153313i | ||||
\(724\) | −5.69117 | + | 79.8316i | −0.00786073 | + | 0.110265i | ||||
\(725\) | −341.599 | −0.471172 | ||||||||
\(726\) | 180.170 | + | 193.540i | 0.248168 | + | 0.266584i | ||||
\(727\) | 824.285i | 1.13382i | 0.823781 | + | 0.566909i | \(0.191861\pi\) | ||||
−0.823781 | + | 0.566909i | \(0.808139\pi\) | |||||||
\(728\) | 89.4492 | + | 58.3480i | 0.122870 | + | 0.0801484i | ||||
\(729\) | 65.2674 | − | 200.872i | 0.0895300 | − | 0.275545i | ||||
\(730\) | −21.4382 | + | 109.892i | −0.0293674 | + | 0.150537i | ||||
\(731\) | −196.646 | − | 270.659i | −0.269009 | − | 0.370259i | ||||
\(732\) | −127.701 | + | 314.842i | −0.174455 | + | 0.430112i | ||||
\(733\) | −0.267616 | − | 0.823639i | −0.000365098 | − | 0.00112365i | 0.950874 | − | 0.309579i | \(-0.100188\pi\) |
−0.951239 | + | 0.308455i | \(0.900188\pi\) | |||||||
\(734\) | −386.795 | − | 415.351i | −0.526968 | − | 0.565873i | ||||
\(735\) | −16.3176 | + | 22.4592i | −0.0222008 | + | 0.0305568i | ||||
\(736\) | 274.094 | + | 394.285i | 0.372411 | + | 0.535714i | ||||
\(737\) | −196.208 | − | 604.046i | −0.266225 | − | 0.819601i | ||||
\(738\) | −753.317 | − | 418.238i | −1.02075 | − | 0.566718i | ||||
\(739\) | 247.106 | − | 340.112i | 0.334378 | − | 0.460232i | −0.608411 | − | 0.793622i | \(-0.708193\pi\) |
0.942789 | + | 0.333390i | \(0.108193\pi\) | |||||||
\(740\) | −106.541 | + | 26.4102i | −0.143974 | + | 0.0356894i | ||||
\(741\) | 22.2981 | + | 68.6265i | 0.0300919 | + | 0.0926133i | ||||
\(742\) | −86.8872 | − | 711.628i | −0.117099 | − | 0.959068i | ||||
\(743\) | −814.385 | − | 1120.90i | −1.09608 | − | 1.50862i | −0.840485 | − | 0.541835i | \(-0.817730\pi\) |
−0.255591 | − | 0.966785i | \(-0.582270\pi\) | |||||||
\(744\) | 454.324 | − | 173.339i | 0.610651 | − | 0.232983i | ||||
\(745\) | 27.3905 | − | 84.2994i | 0.0367658 | − | 0.113154i | ||||
\(746\) | 318.366 | + | 683.948i | 0.426764 | + | 0.916821i | ||||
\(747\) | 515.540i | 0.690148i | ||||||||
\(748\) | 82.2535 | + | 331.941i | 0.109965 | + | 0.443772i | ||||
\(749\) | −101.823 | −0.135946 | ||||||||
\(750\) | −73.2845 | + | 34.1126i | −0.0977126 | + | 0.0454835i | ||||
\(751\) | 1243.83 | + | 404.146i | 1.65624 | + | 0.538144i | 0.980078 | − | 0.198612i | \(-0.0636434\pi\) |
0.676159 | + | 0.736756i | \(0.263643\pi\) | |||||||
\(752\) | 110.222 | − | 769.126i | 0.146571 | − | 1.02277i | ||||
\(753\) | 74.1534 | − | 53.8756i | 0.0984773 | − | 0.0715479i | ||||
\(754\) | 95.5110 | − | 11.6615i | 0.126672 | − | 0.0154662i | ||||
\(755\) | 103.342 | − | 33.5778i | 0.136877 | − | 0.0444740i | ||||
\(756\) | 276.507 | − | 68.5427i | 0.365749 | − | 0.0906649i | ||||
\(757\) | 27.1049 | + | 19.6929i | 0.0358057 | + | 0.0260143i | 0.605544 | − | 0.795812i | \(-0.292956\pi\) |
−0.569738 | + | 0.821826i | \(0.692956\pi\) | |||||||
\(758\) | 393.017 | − | 707.890i | 0.518493 | − | 0.933892i | ||||
\(759\) | −0.0157972 | + | 180.361i | −2.08132e−5 | + | 0.237630i | ||||
\(760\) | 114.690 | − | 5.77674i | 0.150908 | − | 0.00760097i | ||||
\(761\) | −53.4377 | − | 38.8247i | −0.0702203 | − | 0.0510181i | 0.552121 | − | 0.833764i | \(-0.313819\pi\) |
−0.622342 | + | 0.782746i | \(0.713819\pi\) | |||||||
\(762\) | 142.015 | − | 132.251i | 0.186371 | − | 0.173558i | ||||
\(763\) | −292.709 | + | 95.1069i | −0.383629 | + | 0.124649i | ||||
\(764\) | 330.389 | − | 814.560i | 0.432447 | − | 1.06618i | ||||
\(765\) | −36.7238 | + | 26.6814i | −0.0480050 | + | 0.0348776i | ||||
\(766\) | −354.089 | − | 69.0771i | −0.462257 | − | 0.0901789i | ||||
\(767\) | −262.631 | − | 85.3341i | −0.342414 | − | 0.111257i | ||||
\(768\) | −279.597 | + | 8.24560i | −0.364059 | + | 0.0107365i | ||||
\(769\) | 1115.14 | 1.45012 | 0.725062 | − | 0.688684i | \(-0.241811\pi\) | ||||
0.725062 | + | 0.688684i | \(0.241811\pi\) | |||||||
\(770\) | 63.3674 | − | 7.73130i | 0.0822954 | − | 0.0100407i | ||||
\(771\) | − | 176.917i | − | 0.229465i | ||||||
\(772\) | 25.5458 | − | 358.339i | 0.0330905 | − | 0.464170i | ||||
\(773\) | −52.6568 | + | 162.061i | −0.0681200 | + | 0.209652i | −0.979322 | − | 0.202308i | \(-0.935156\pi\) |
0.911202 | + | 0.411960i | \(0.135156\pi\) | |||||||
\(774\) | −659.585 | − | 128.675i | −0.852177 | − | 0.166246i | ||||
\(775\) | −799.149 | − | 1099.93i | −1.03116 | − | 1.41927i | ||||
\(776\) | 538.847 | + | 668.195i | 0.694390 | + | 0.861075i | ||||
\(777\) | 48.0295 | + | 147.820i | 0.0618141 | + | 0.190244i | ||||
\(778\) | −311.434 | + | 290.022i | −0.400301 | + | 0.372779i | ||||
\(779\) | −622.378 | + | 856.630i | −0.798945 | + | 1.09965i | ||||
\(780\) | 9.55347 | − | 5.95167i | 0.0122480 | − | 0.00763035i | ||||
\(781\) | 874.655 | + | 635.591i | 1.11992 | + | 0.813817i | ||||
\(782\) | −113.227 | + | 203.940i | −0.144791 | + | 0.260793i | ||||
\(783\) | 150.862 | − | 207.644i | 0.192672 | − | 0.265190i | ||||
\(784\) | 389.818 | + | 378.492i | 0.497217 | + | 0.482770i | ||||
\(785\) | −20.5223 | − | 63.1611i | −0.0261431 | − | 0.0804601i | ||||
\(786\) | −370.183 | + | 45.1980i | −0.470971 | + | 0.0575038i | ||||
\(787\) | 306.107 | + | 421.320i | 0.388954 | + | 0.535350i | 0.957929 | − | 0.287005i | \(-0.0926598\pi\) |
−0.568975 | + | 0.822355i | \(0.692660\pi\) | |||||||
\(788\) | 291.905 | − | 346.922i | 0.370438 | − | 0.440257i | ||||
\(789\) | 134.810 | − | 414.904i | 0.170862 | − | 0.525860i | ||||
\(790\) | −102.622 | + | 47.7687i | −0.129901 | + | 0.0604667i | ||||
\(791\) | 88.2252i | 0.111536i | ||||||||
\(792\) | 575.319 | + | 375.355i | 0.726413 | + | 0.473933i | ||||
\(793\) | −267.576 | −0.337423 | ||||||||
\(794\) | −431.189 | − | 926.327i | −0.543059 | − | 1.16666i | ||||
\(795\) | −71.8598 | − | 23.3487i | −0.0903897 | − | 0.0293694i | ||||
\(796\) | 392.421 | + | 330.189i | 0.492992 | + | 0.414810i | ||||
\(797\) | −332.100 | + | 241.285i | −0.416688 | + | 0.302742i | −0.776304 | − | 0.630359i | \(-0.782908\pi\) |
0.359616 | + | 0.933100i | \(0.382908\pi\) | |||||||
\(798\) | −19.7072 | − | 161.407i | −0.0246958 | − | 0.202265i | ||||
\(799\) | 358.960 | − | 116.633i | 0.449262 | − | 0.145974i | ||||
\(800\) | 226.123 | + | 748.685i | 0.282654 | + | 0.935856i | ||||
\(801\) | −295.189 | − | 214.467i | −0.368525 | − | 0.267749i | ||||
\(802\) | 47.9662 | + | 26.6306i | 0.0598082 | + | 0.0332052i | ||||
\(803\) | 483.727 | + | 665.915i | 0.602399 | + | 0.829284i | ||||
\(804\) | 133.434 | + | 214.185i | 0.165963 | + | 0.266399i | ||||
\(805\) | 35.2272 | + | 25.5941i | 0.0437606 | + | 0.0317939i | ||||
\(806\) | 260.991 | + | 280.259i | 0.323810 | + | 0.347716i | ||||
\(807\) | 66.2894 | − | 21.5387i | 0.0821430 | − | 0.0266899i | ||||
\(808\) | −363.780 | − | 451.104i | −0.450222 | − | 0.558297i | ||||
\(809\) | −1064.09 | + | 773.105i | −1.31531 | + | 0.955630i | −0.315334 | + | 0.948981i | \(0.602117\pi\) |
−0.999978 | + | 0.00664931i | \(0.997883\pi\) | |||||||
\(810\) | −14.3803 | + | 73.7133i | −0.0177535 | + | 0.0910041i | ||||
\(811\) | −967.742 | − | 314.438i | −1.19327 | − | 0.387717i | −0.355989 | − | 0.934490i | \(-0.615856\pi\) |
−0.837281 | + | 0.546773i | \(0.815856\pi\) | |||||||
\(812\) | −216.280 | − | 15.4185i | −0.266355 | − | 0.0189883i | ||||
\(813\) | −186.620 | −0.229544 | ||||||||
\(814\) | −391.734 | + | 705.433i | −0.481246 | + | 0.866625i | ||||
\(815\) | 17.0038i | 0.0208635i | ||||||||
\(816\) | −63.4655 | − | 120.146i | −0.0777763 | − | 0.147238i | ||||
\(817\) | −255.198 | + | 785.420i | −0.312360 | + | 0.961347i | ||||
\(818\) | 51.0964 | − | 261.920i | 0.0624650 | − | 0.320195i | ||||
\(819\) | 61.2525 | + | 84.3068i | 0.0747893 | + | 0.102939i | ||||
\(820\) | 153.056 | + | 62.0803i | 0.186654 | + | 0.0757077i | ||||
\(821\) | 1.01822 | + | 3.13376i | 0.00124022 | + | 0.00381700i | 0.951675 | − | 0.307108i | \(-0.0993612\pi\) |
−0.950434 | + | 0.310925i | \(0.899361\pi\) | |||||||
\(822\) | −132.799 | − | 142.603i | −0.161556 | − | 0.173483i | ||||
\(823\) | −686.883 | + | 945.413i | −0.834608 | + | 1.14874i | 0.152440 | + | 0.988313i | \(0.451287\pi\) |
−0.987048 | + | 0.160427i | \(0.948713\pi\) | |||||||
\(824\) | 167.519 | − | 8.43767i | 0.203300 | − | 0.0102399i | ||||
\(825\) | −90.7987 | + | 279.366i | −0.110059 | + | 0.338626i | ||||
\(826\) | 544.060 | + | 302.060i | 0.658668 | + | 0.365690i | ||||
\(827\) | −629.832 | + | 866.889i | −0.761586 | + | 1.04823i | 0.235494 | + | 0.971876i | \(0.424329\pi\) |
−0.997080 | + | 0.0763576i | \(0.975671\pi\) | |||||||
\(828\) | 112.738 | + | 454.793i | 0.136157 | + | 0.549267i | ||||
\(829\) | 74.0327 | + | 227.849i | 0.0893036 | + | 0.274848i | 0.985727 | − | 0.168350i | \(-0.0538438\pi\) |
−0.896424 | + | 0.443198i | \(0.853844\pi\) | |||||||
\(830\) | −11.9772 | − | 98.0960i | −0.0144303 | − | 0.118188i | ||||
\(831\) | −207.899 | − | 286.149i | −0.250180 | − | 0.344343i | ||||
\(832\) | −88.7826 | − | 201.612i | −0.106710 | − | 0.242323i | ||||
\(833\) | −81.5604 | + | 251.017i | −0.0979117 | + | 0.301341i | ||||
\(834\) | 165.212 | + | 354.926i | 0.198096 | + | 0.425571i | ||||
\(835\) | − | 223.998i | − | 0.268261i | ||||||
\(836\) | 543.557 | − | 645.890i | 0.650188 | − | 0.772596i | ||||
\(837\) | 1021.53 | 1.22047 | ||||||||
\(838\) | 548.311 | − | 255.229i | 0.654309 | − | 0.304570i | ||||
\(839\) | −826.516 | − | 268.551i | −0.985120 | − | 0.320085i | −0.228216 | − | 0.973611i | \(-0.573289\pi\) |
−0.756904 | + | 0.653526i | \(0.773289\pi\) | |||||||
\(840\) | −23.6981 | + | 9.04159i | −0.0282121 | + | 0.0107638i | ||||
\(841\) | 522.338 | − | 379.501i | 0.621092 | − | 0.451249i | ||||
\(842\) | −206.614 | + | 25.2269i | −0.245385 | + | 0.0299607i | ||||
\(843\) | −397.416 | + | 129.128i | −0.471430 | + | 0.153177i | ||||
\(844\) | −277.098 | − | 1117.83i | −0.328315 | − | 1.32445i | ||||
\(845\) | −95.1226 | − | 69.1106i | −0.112571 | − | 0.0817877i | ||||
\(846\) | 368.009 | − | 662.845i | 0.434999 | − | 0.783505i | ||||
\(847\) | 275.902 | − | 379.606i | 0.325740 | − | 0.448177i | ||||
\(848\) | −651.868 | + | 1327.38i | −0.768712 | + | 1.56530i | ||||
\(849\) | 389.688 | + | 283.125i | 0.458996 | + | 0.333480i | ||||
\(850\) | −278.026 | + | 258.911i | −0.327090 | + | 0.304602i | ||||
\(851\) | −523.448 | + | 170.079i | −0.615098 | + | 0.199857i | ||||
\(852\) | −398.092 | − | 161.468i | −0.467244 | − | 0.189516i | ||||
\(853\) | 1053.49 | − | 765.403i | 1.23504 | − | 0.897307i | 0.237780 | − | 0.971319i | \(-0.423580\pi\) |
0.997257 | + | 0.0740115i | \(0.0235802\pi\) | |||||||
\(854\) | 591.817 | + | 115.454i | 0.692995 | + | 0.135192i | ||||
\(855\) | 106.568 | + | 34.6260i | 0.124641 | + | 0.0404982i | ||||
\(856\) | 175.917 | + | 114.751i | 0.205511 | + | 0.134055i | ||||
\(857\) | 676.267 | 0.789110 | 0.394555 | − | 0.918872i | \(-0.370899\pi\) | ||||
0.394555 | + | 0.918872i | \(0.370899\pi\) | |||||||
\(858\) | 15.8502 | − | 81.2103i | 0.0184735 | − | 0.0946507i | ||||
\(859\) | 745.506i | 0.867877i | 0.900943 | + | 0.433938i | \(0.142876\pi\) | ||||
−0.900943 | + | 0.433938i | \(0.857124\pi\) | |||||||
\(860\) | 128.494 | + | 9.16028i | 0.149412 | + | 0.0106515i | ||||
\(861\) | 72.2715 | − | 222.429i | 0.0839390 | − | 0.258338i | ||||
\(862\) | 659.062 | + | 128.572i | 0.764573 | + | 0.149156i | ||||
\(863\) | −783.896 | − | 1078.94i | −0.908338 | − | 1.25022i | −0.967731 | − | 0.251986i | \(-0.918916\pi\) |
0.0593926 | − | 0.998235i | \(-0.481084\pi\) | |||||||
\(864\) | −554.957 | − | 193.194i | −0.642312 | − | 0.223604i | ||||
\(865\) | 10.8807 | + | 33.4873i | 0.0125788 | + | 0.0387136i | ||||
\(866\) | 935.696 | − | 871.365i | 1.08048 | − | 1.00620i | ||||
\(867\) | −146.812 | + | 202.069i | −0.169333 | + | 0.233067i | ||||
\(868\) | −456.326 | − | 732.483i | −0.525721 | − | 0.843874i | ||||
\(869\) | −257.207 | + | 791.366i | −0.295981 | + | 0.910663i | ||||
\(870\) | −11.0926 | + | 19.9796i | −0.0127501 | + | 0.0229650i | ||||
\(871\) | −116.816 | + | 160.783i | −0.134117 | + | 0.184596i | ||||
\(872\) | 612.887 | + | 165.559i | 0.702852 | + | 0.189862i | ||||
\(873\) | 258.829 | + | 796.595i | 0.296483 | + | 0.912480i | ||||
\(874\) | 571.563 | − | 69.7858i | 0.653963 | − | 0.0798465i | ||||
\(875\) | 84.3240 | + | 116.062i | 0.0963703 | + | 0.132642i | ||||
\(876\) | −250.232 | − | 210.548i | −0.285652 | − | 0.240352i | ||||
\(877\) | −122.743 | + | 377.764i | −0.139958 | + | 0.430746i | −0.996328 | − | 0.0856163i | \(-0.972714\pi\) |
0.856370 | + | 0.516362i | \(0.172714\pi\) | |||||||
\(878\) | −761.219 | + | 354.334i | −0.866992 | + | 0.403569i | ||||
\(879\) | − | 571.204i | − | 0.649834i | ||||||
\(880\) | −118.191 | − | 58.0558i | −0.134308 | − | 0.0659725i | ||||
\(881\) | 473.383 | 0.537325 | 0.268662 | − | 0.963234i | \(-0.413418\pi\) | ||||
0.268662 | + | 0.963234i | \(0.413418\pi\) | |||||||
\(882\) | 223.733 | + | 480.647i | 0.253665 | + | 0.544951i | ||||
\(883\) | 1305.74 | + | 424.260i | 1.47875 | + | 0.480475i | 0.933739 | − | 0.357954i | \(-0.116525\pi\) |
0.545011 | + | 0.838429i | \(0.316525\pi\) | |||||||
\(884\) | 68.8972 | − | 81.8827i | 0.0779380 | − | 0.0926275i | ||||
\(885\) | 53.0593 | − | 38.5499i | 0.0599540 | − | 0.0435592i | ||||
\(886\) | 60.7138 | + | 497.261i | 0.0685257 | + | 0.561243i | ||||
\(887\) | −266.937 | + | 86.7330i | −0.300943 | + | 0.0977824i | −0.455597 | − | 0.890186i | \(-0.650574\pi\) |
0.154653 | + | 0.987969i | \(0.450574\pi\) | |||||||
\(888\) | 83.6084 | − | 309.511i | 0.0941536 | − | 0.348549i | ||||
\(889\) | −278.627 | − | 202.434i | −0.313416 | − | 0.227710i | ||||
\(890\) | 61.1505 | + | 33.9505i | 0.0687084 | + | 0.0381466i | ||||
\(891\) | 324.474 | + | 446.682i | 0.364168 | + | 0.501326i | ||||
\(892\) | 522.294 | − | 325.381i | 0.585531 | − | 0.364777i | ||||
\(893\) | −753.751 | − | 547.632i | −0.844066 | − | 0.613250i | ||||
\(894\) | 176.438 | + | 189.464i | 0.197358 | + | 0.211928i | ||||
\(895\) | −64.9321 | + | 21.0977i | −0.0725498 | + | 0.0235729i | ||||
\(896\) | 109.375 | + | 484.228i | 0.122070 | + | 0.540433i | ||||
\(897\) | 45.6597 | − | 33.1737i | 0.0509027 | − | 0.0369830i | ||||
\(898\) | 42.0351 | − | 215.472i | 0.0468097 | − | 0.239946i | ||||
\(899\) | −739.472 | − | 240.269i | −0.822550 | − | 0.267263i | ||||
\(900\) | −54.2657 | + | 761.201i | −0.0602952 | + | 0.845778i | ||||
\(901\) | −718.356 | −0.797287 | ||||||||
\(902\) | 1100.80 | − | 512.288i | 1.22040 | − | 0.567947i | ||||
\(903\) | − | 182.408i | − | 0.202003i | ||||||
\(904\) | 99.4267 | − | 152.424i | 0.109985 | − | 0.168611i | ||||
\(905\) | 4.62599 | − | 14.2373i | 0.00511159 | − | 0.0157319i | ||||
\(906\) | −60.7697 | + | 311.505i | −0.0670747 | + | 0.343825i | ||||
\(907\) | 286.376 | + | 394.163i | 0.315740 | + | 0.434578i | 0.937160 | − | 0.348899i | \(-0.113444\pi\) |
−0.621421 | + | 0.783477i | \(0.713444\pi\) | |||||||
\(908\) | 485.680 | − | 1197.42i | 0.534890 | − | 1.31875i | ||||
\(909\) | −174.738 | − | 537.788i | −0.192231 | − | 0.591626i | ||||
\(910\) | −13.6136 | − | 14.6187i | −0.0149600 | − | 0.0160645i | ||||
\(911\) | 627.748 | − | 864.021i | 0.689076 | − | 0.948431i | −0.310922 | − | 0.950435i | \(-0.600638\pi\) |
0.999998 | + | 0.00200421i | \(0.000637960\pi\) | |||||||
\(912\) | −147.853 | + | 301.068i | −0.162119 | + | 0.330118i | ||||
\(913\) | −587.693 | − | 427.063i | −0.643695 | − | 0.467758i | ||||
\(914\) | −558.446 | − | 310.047i | −0.610991 | − | 0.339219i | ||||
\(915\) | 37.3534 | − | 51.4126i | 0.0408234 | − | 0.0561886i | ||||
\(916\) | −1107.03 | + | 274.419i | −1.20854 | + | 0.299584i | ||||
\(917\) | 204.525 | + | 629.462i | 0.223037 | + | 0.686436i | ||||
\(918\) | −34.5953 | − | 283.344i | −0.0376855 | − | 0.308654i | ||||
\(919\) | 170.812 | + | 235.102i | 0.185867 | + | 0.255824i | 0.891774 | − | 0.452480i | \(-0.149461\pi\) |
−0.705908 | + | 0.708304i | \(0.749461\pi\) | |||||||
\(920\) | −32.0174 | − | 83.9180i | −0.0348015 | − | 0.0912152i | ||||
\(921\) | 178.305 | − | 548.768i | 0.193600 | − | 0.595839i | ||||
\(922\) | −536.066 | − | 1151.64i | −0.581417 | − | 1.24906i | ||||
\(923\) | − | 338.328i | − | 0.366553i | ||||||
\(924\) | −70.0978 | + | 172.780i | −0.0758634 | + | 0.186991i | ||||
\(925\) | −896.403 | −0.969085 | ||||||||
\(926\) | −1333.80 | + | 620.859i | −1.44038 | + | 0.670474i | ||||
\(927\) | 155.656 | + | 50.5757i | 0.167914 | + | 0.0545585i | ||||
\(928\) | 356.285 | + | 270.378i | 0.383927 | + | 0.291356i | ||||
\(929\) | 139.029 | − | 101.011i | 0.149655 | − | 0.108731i | −0.510438 | − | 0.859914i | \(-0.670517\pi\) |
0.660093 | + | 0.751184i | \(0.270517\pi\) | |||||||
\(930\) | −90.2837 | + | 11.0233i | −0.0970792 | + | 0.0118530i | ||||
\(931\) | 619.632 | − | 201.331i | 0.665555 | − | 0.216252i | ||||
\(932\) | −757.202 | + | 187.701i | −0.812448 | + | 0.201396i | ||||
\(933\) | 281.856 | + | 204.780i | 0.302096 | + | 0.219486i | ||||
\(934\) | −284.772 | + | 512.921i | −0.304895 | + | 0.549166i | ||||
\(935\) | 0.00560254 | − | 63.9658i | 5.99202e−6 | − | 0.0684126i | ||||
\(936\) | −10.8133 | − | 214.684i | −0.0115526 | − | 0.229363i | ||||
\(937\) | −694.695 | − | 504.726i | −0.741404 | − | 0.538661i | 0.151747 | − | 0.988419i | \(-0.451510\pi\) |
−0.893150 | + | 0.449758i | \(0.851510\pi\) | |||||||
\(938\) | 327.745 | − | 305.212i | 0.349408 | − | 0.325386i | ||||
\(939\) | 335.014 | − | 108.853i | 0.356777 | − | 0.115924i | ||||
\(940\) | −54.6246 | + | 134.675i | −0.0581113 | + | 0.143271i | ||||
\(941\) | −755.437 | + | 548.857i | −0.802802 | + | 0.583270i | −0.911735 | − | 0.410779i | \(-0.865257\pi\) |
0.108932 | + | 0.994049i | \(0.465257\pi\) | |||||||
\(942\) | 190.387 | + | 37.1416i | 0.202110 | + | 0.0394284i | ||||
\(943\) | 787.648 | + | 255.922i | 0.835258 | + | 0.271392i | ||||
\(944\) | −599.546 | − | 1135.00i | −0.635112 | − | 1.20233i | ||||
\(945\) | −53.2846 | −0.0563858 | ||||||||
\(946\) | 693.070 | − | 645.307i | 0.732632 | − | 0.682142i | ||||
\(947\) | − | 588.592i | − | 0.621533i | −0.950486 | − | 0.310767i | \(-0.899414\pi\) | ||
0.950486 | − | 0.310767i | \(-0.100586\pi\) | |||||||
\(948\) | 23.5103 | − | 329.786i | 0.0247999 | − | 0.347875i | ||||
\(949\) | 79.5881 | − | 244.947i | 0.0838652 | − | 0.258110i | ||||
\(950\) | 920.456 | + | 179.566i | 0.968901 | + | 0.189017i | ||||
\(951\) | 232.837 | + | 320.473i | 0.244834 | + | 0.336985i | ||||
\(952\) | −187.716 | + | 151.378i | −0.197180 | + | 0.159011i | ||||
\(953\) | −4.59701 | − | 14.1481i | −0.00482373 | − | 0.0148459i | 0.948616 | − | 0.316431i | \(-0.102484\pi\) |
−0.953439 | + | 0.301585i | \(0.902484\pi\) | |||||||
\(954\) | −1055.98 | + | 983.384i | −1.10690 | + | 1.03080i | ||||
\(955\) | −96.6409 | + | 133.015i | −0.101195 | + | 0.139282i | ||||
\(956\) | 717.473 | − | 446.975i | 0.750494 | − | 0.467547i | ||||
\(957\) | 51.8982 | + | 159.774i | 0.0542300 | + | 0.166953i | ||||
\(958\) | −97.6240 | + | 175.837i | −0.101904 | + | 0.183546i | ||||
\(959\) | −203.273 | + | 279.781i | −0.211963 | + | 0.291743i | ||||
\(960\) | 51.1321 | + | 11.0861i | 0.0532626 | + | 0.0115480i | ||||
\(961\) | −659.325 | − | 2029.19i | −0.686083 | − | 2.11155i | ||||
\(962\) | 250.634 | − | 30.6015i | 0.260534 | − | 0.0318103i | ||||
\(963\) | 120.464 | + | 165.804i | 0.125092 | + | 0.172174i | ||||
\(964\) | −845.437 | + | 1004.78i | −0.877009 | + | 1.04231i | ||||
\(965\) | −20.7646 | + | 63.9069i | −0.0215177 | + | 0.0662248i | ||||
\(966\) | −115.303 | + | 53.6714i | −0.119361 | + | 0.0555604i | ||||
\(967\) | − | 974.002i | − | 1.00724i | −0.863925 | − | 0.503621i | \(-0.832001\pi\) | ||
0.863925 | − | 0.503621i | \(-0.167999\pi\) | |||||||
\(968\) | −904.470 | + | 344.903i | −0.934370 | + | 0.356305i | ||||
\(969\) | −162.933 | −0.168146 | ||||||||
\(970\) | −67.7562 | − | 145.561i | −0.0698518 | − | 0.150063i | ||||
\(971\) | −408.637 | − | 132.774i | −0.420841 | − | 0.136740i | 0.0909380 | − | 0.995857i | \(-0.471013\pi\) |
−0.511779 | + | 0.859117i | \(0.671013\pi\) | |||||||
\(972\) | −673.687 | − | 566.849i | −0.693094 | − | 0.583178i | ||||
\(973\) | 562.103 | − | 408.392i | 0.577701 | − | 0.419725i | ||||
\(974\) | −29.0011 | − | 237.526i | −0.0297752 | − | 0.243867i | ||||
\(975\) | 87.4215 | − | 28.4050i | 0.0896631 | − | 0.0291333i | ||||
\(976\) | −892.353 | − | 866.424i | −0.914296 | − | 0.887730i | ||||
\(977\) | 258.647 | + | 187.918i | 0.264736 | + | 0.192342i | 0.712232 | − | 0.701944i | \(-0.247684\pi\) |
−0.447496 | + | 0.894286i | \(0.647684\pi\) | |||||||
\(978\) | −43.4217 | − | 24.1075i | −0.0443984 | − | 0.0246498i | ||||
\(979\) | 489.011 | − | 158.842i | 0.499501 | − | 0.162249i | ||||
\(980\) | −53.7379 | − | 86.2587i | −0.0548346 | − | 0.0880191i | ||||
\(981\) | 501.160 | + | 364.114i | 0.510866 | + | 0.371166i | ||||
\(982\) | 380.480 | + | 408.570i | 0.387454 | + | 0.416059i | ||||
\(983\) | 281.950 | − | 91.6112i | 0.286826 | − | 0.0931955i | −0.162070 | − | 0.986779i | \(-0.551817\pi\) |
0.448897 | + | 0.893584i | \(0.351817\pi\) | |||||||
\(984\) | −375.531 | + | 302.836i | −0.381637 | + | 0.307760i | ||||
\(985\) | −68.6084 | + | 49.8469i | −0.0696532 | + | 0.0506060i | ||||
\(986\) | −41.6008 | + | 213.245i | −0.0421915 | + | 0.216273i | ||||
\(987\) | 195.716 | + | 63.5919i | 0.198293 | + | 0.0644295i | ||||
\(988\) | −263.489 | − | 18.7840i | −0.266689 | − | 0.0190122i | ||||
\(989\) | 645.931 | 0.653115 | ||||||||
\(990\) | −87.5569 | − | 94.0375i | −0.0884413 | − | 0.0949874i | ||||
\(991\) | − | 418.812i | − | 0.422616i | −0.977420 | − | 0.211308i | \(-0.932228\pi\) | ||
0.977420 | − | 0.211308i | \(-0.0677723\pi\) | |||||||
\(992\) | −37.1014 | + | 1779.75i | −0.0374006 | + | 1.79410i | ||||
\(993\) | −29.7243 | + | 91.4820i | −0.0299338 | + | 0.0921269i | ||||
\(994\) | −145.982 | + | 748.305i | −0.146864 | + | 0.752822i | ||||
\(995\) | −56.3844 | − | 77.6065i | −0.0566677 | − | 0.0779964i | ||||
\(996\) | 267.484 | + | 108.493i | 0.268558 | + | 0.108928i | ||||
\(997\) | −474.883 | − | 1461.54i | −0.476312 | − | 1.46594i | −0.844180 | − | 0.536059i | \(-0.819912\pi\) |
0.367868 | − | 0.929878i | \(-0.380088\pi\) | |||||||
\(998\) | 230.481 | + | 247.496i | 0.230943 | + | 0.247992i | ||||
\(999\) | 395.882 | − | 544.886i | 0.396279 | − | 0.545431i |
(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 | 44.3.h.a.15.7 | yes | 40 | |
3.2 | odd | 2 | 396.3.s.a.235.4 | 40 | |||
4.3 | odd | 2 | inner | 44.3.h.a.15.10 | yes | 40 | |
11.3 | even | 5 | inner | 44.3.h.a.3.10 | yes | 40 | |
11.5 | even | 5 | 484.3.b.j.243.3 | 20 | |||
11.6 | odd | 10 | 484.3.b.k.243.18 | 20 | |||
12.11 | even | 2 | 396.3.s.a.235.1 | 40 | |||
33.14 | odd | 10 | 396.3.s.a.91.1 | 40 | |||
44.3 | odd | 10 | inner | 44.3.h.a.3.7 | ✓ | 40 | |
44.27 | odd | 10 | 484.3.b.j.243.4 | 20 | |||
44.39 | even | 10 | 484.3.b.k.243.17 | 20 | |||
132.47 | even | 10 | 396.3.s.a.91.4 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
44.3.h.a.3.7 | ✓ | 40 | 44.3 | odd | 10 | inner | |
44.3.h.a.3.10 | yes | 40 | 11.3 | even | 5 | inner | |
44.3.h.a.15.7 | yes | 40 | 1.1 | even | 1 | trivial | |
44.3.h.a.15.10 | yes | 40 | 4.3 | odd | 2 | inner | |
396.3.s.a.91.1 | 40 | 33.14 | odd | 10 | |||
396.3.s.a.91.4 | 40 | 132.47 | even | 10 | |||
396.3.s.a.235.1 | 40 | 12.11 | even | 2 | |||
396.3.s.a.235.4 | 40 | 3.2 | odd | 2 | |||
484.3.b.j.243.3 | 20 | 11.5 | even | 5 | |||
484.3.b.j.243.4 | 20 | 44.27 | odd | 10 | |||
484.3.b.k.243.17 | 20 | 44.39 | even | 10 | |||
484.3.b.k.243.18 | 20 | 11.6 | odd | 10 |