Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [51,4,Mod(5,51)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(51, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("51.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 51 = 3 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 51.i (of order \(16\), degree \(8\), 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: | \(3.00909741029\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 5.11 | ||
Character | \(\chi\) | \(=\) | 51.5 |
Dual form | 51.4.i.a.41.11 |
$q$-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 \(\left(\mathbb{Z}/51\mathbb{Z}\right)^\times\).
\(n\) | \(35\) | \(37\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.54951 | − | 0.641828i | 0.547835 | − | 0.226921i | −0.0915595 | − | 0.995800i | \(-0.529185\pi\) |
0.639394 | + | 0.768879i | \(0.279185\pi\) | |||||||
\(3\) | −5.02033 | − | 1.34024i | −0.966164 | − | 0.257929i | ||||
\(4\) | −3.66781 | + | 3.66781i | −0.458477 | + | 0.458477i | ||||
\(5\) | −11.5824 | − | 2.30388i | −1.03596 | − | 0.206065i | −0.352316 | − | 0.935881i | \(-0.614606\pi\) |
−0.683643 | + | 0.729816i | \(0.739606\pi\) | |||||||
\(6\) | −8.63927 | + | 1.14548i | −0.587828 | + | 0.0779398i | ||||
\(7\) | −7.03184 | − | 35.3514i | −0.379684 | − | 1.90880i | −0.415811 | − | 0.909451i | \(-0.636502\pi\) |
0.0361269 | − | 0.999347i | \(-0.488498\pi\) | |||||||
\(8\) | −8.46384 | + | 20.4335i | −0.374052 | + | 0.903042i | ||||
\(9\) | 23.4075 | + | 13.4569i | 0.866945 | + | 0.498404i | ||||
\(10\) | −19.4257 | + | 3.86401i | −0.614295 | + | 0.122191i | ||||
\(11\) | −21.8822 | + | 32.7490i | −0.599793 | + | 0.897653i | −0.999822 | − | 0.0188488i | \(-0.994000\pi\) |
0.400029 | + | 0.916502i | \(0.369000\pi\) | |||||||
\(12\) | 23.3294 | − | 13.4979i | 0.561218 | − | 0.324709i | ||||
\(13\) | 15.5736 | + | 15.5736i | 0.332256 | + | 0.332256i | 0.853443 | − | 0.521187i | \(-0.174510\pi\) |
−0.521187 | + | 0.853443i | \(0.674510\pi\) | |||||||
\(14\) | −33.5855 | − | 50.2642i | −0.641150 | − | 0.959548i | ||||
\(15\) | 55.0596 | + | 27.0894i | 0.947756 | + | 0.466297i | ||||
\(16\) | − | 4.40231i | − | 0.0687861i | ||||||
\(17\) | 16.2279 | − | 68.1884i | 0.231520 | − | 0.972830i | ||||
\(18\) | 44.9072 | + | 5.82802i | 0.588041 | + | 0.0763155i | ||||
\(19\) | −8.01190 | − | 19.3424i | −0.0967398 | − | 0.233550i | 0.868100 | − | 0.496389i | \(-0.165341\pi\) |
−0.964840 | + | 0.262839i | \(0.915341\pi\) | |||||||
\(20\) | 50.9322 | − | 34.0318i | 0.569439 | − | 0.380487i | ||||
\(21\) | −12.0773 | + | 186.900i | −0.125499 | + | 1.94214i | ||||
\(22\) | −12.8874 | + | 64.7895i | −0.124891 | + | 0.627871i | ||||
\(23\) | −109.889 | − | 73.4256i | −0.996239 | − | 0.665665i | −0.0532816 | − | 0.998580i | \(-0.516968\pi\) |
−0.942957 | + | 0.332914i | \(0.891968\pi\) | |||||||
\(24\) | 69.8771 | − | 91.2395i | 0.594317 | − | 0.776007i | ||||
\(25\) | 13.3586 | + | 5.53330i | 0.106868 | + | 0.0442664i | ||||
\(26\) | 34.1269 | + | 14.1358i | 0.257417 | + | 0.106626i | ||||
\(27\) | −99.4780 | − | 98.9299i | −0.709058 | − | 0.705151i | ||||
\(28\) | 155.454 | + | 103.871i | 1.04922 | + | 0.701064i | ||||
\(29\) | −14.7040 | + | 73.9219i | −0.0941538 | + | 0.473343i | 0.904725 | + | 0.425997i | \(0.140076\pi\) |
−0.998879 | + | 0.0473464i | \(0.984924\pi\) | |||||||
\(30\) | 102.702 | + | 6.63648i | 0.625026 | + | 0.0403883i | ||||
\(31\) | −48.7720 | + | 32.5884i | −0.282571 | + | 0.188808i | −0.688776 | − | 0.724974i | \(-0.741852\pi\) |
0.406205 | + | 0.913782i | \(0.366852\pi\) | |||||||
\(32\) | −70.5362 | − | 170.290i | −0.389661 | − | 0.940726i | ||||
\(33\) | 153.747 | − | 135.083i | 0.811029 | − | 0.712576i | ||||
\(34\) | −18.6200 | − | 116.074i | −0.0939207 | − | 0.585487i | ||||
\(35\) | 425.654i | 2.05568i | ||||||||
\(36\) | −135.212 | + | 36.4970i | −0.625981 | + | 0.168967i | ||||
\(37\) | 88.0107 | + | 131.717i | 0.391051 | + | 0.585248i | 0.973801 | − | 0.227403i | \(-0.0730234\pi\) |
−0.582750 | + | 0.812651i | \(0.698023\pi\) | |||||||
\(38\) | −24.8290 | − | 24.8290i | −0.105995 | − | 0.105995i | ||||
\(39\) | −57.3122 | − | 99.0568i | −0.235315 | − | 0.406712i | ||||
\(40\) | 145.108 | − | 217.169i | 0.573588 | − | 0.858435i | ||||
\(41\) | −172.474 | + | 34.3072i | −0.656973 | + | 0.130680i | −0.512310 | − | 0.858801i | \(-0.671210\pi\) |
−0.144663 | + | 0.989481i | \(0.546210\pi\) | |||||||
\(42\) | 101.244 | + | 297.356i | 0.371960 | + | 1.09245i | ||||
\(43\) | 72.0268 | − | 173.888i | 0.255441 | − | 0.616690i | −0.743185 | − | 0.669086i | \(-0.766686\pi\) |
0.998626 | + | 0.0523958i | \(0.0166857\pi\) | |||||||
\(44\) | −39.8574 | − | 200.377i | −0.136562 | − | 0.686544i | ||||
\(45\) | −240.111 | − | 209.791i | −0.795416 | − | 0.694973i | ||||
\(46\) | −217.401 | − | 43.2438i | −0.696827 | − | 0.138608i | ||||
\(47\) | 189.372 | − | 189.372i | 0.587718 | − | 0.587718i | −0.349295 | − | 0.937013i | \(-0.613579\pi\) |
0.937013 | + | 0.349295i | \(0.113579\pi\) | |||||||
\(48\) | −5.90015 | + | 22.1011i | −0.0177419 | + | 0.0664586i | ||||
\(49\) | −883.387 | + | 365.911i | −2.57547 | + | 1.06680i | ||||
\(50\) | 24.2507 | 0.0685912 | ||||||||
\(51\) | −172.858 | + | 320.579i | −0.474607 | + | 0.880198i | ||||
\(52\) | −114.242 | −0.304663 | ||||||||
\(53\) | −451.305 | + | 186.937i | −1.16965 | + | 0.484486i | −0.881077 | − | 0.472972i | \(-0.843181\pi\) |
−0.288574 | + | 0.957458i | \(0.593181\pi\) | |||||||
\(54\) | −217.638 | − | 89.4451i | −0.548460 | − | 0.225406i | ||||
\(55\) | 328.897 | − | 328.897i | 0.806336 | − | 0.806336i | ||||
\(56\) | 781.870 | + | 155.524i | 1.86575 | + | 0.371120i | ||||
\(57\) | 14.2989 | + | 107.843i | 0.0332269 | + | 0.250600i | ||||
\(58\) | 24.6612 | + | 123.980i | 0.0558306 | + | 0.280679i | ||||
\(59\) | 12.0927 | − | 29.1943i | 0.0266836 | − | 0.0644198i | −0.909976 | − | 0.414661i | \(-0.863900\pi\) |
0.936660 | + | 0.350241i | \(0.113900\pi\) | |||||||
\(60\) | −301.307 | + | 102.590i | −0.648310 | + | 0.220738i | ||||
\(61\) | 916.816 | − | 182.366i | 1.92437 | − | 0.382780i | 0.924366 | − | 0.381506i | \(-0.124595\pi\) |
0.999999 | − | 0.00127364i | \(-0.000405411\pi\) | |||||||
\(62\) | −54.6565 | + | 81.7993i | −0.111958 | + | 0.167557i | ||||
\(63\) | 311.123 | − | 922.116i | 0.622188 | − | 1.84406i | ||||
\(64\) | −193.690 | − | 193.690i | −0.378301 | − | 0.378301i | ||||
\(65\) | −144.499 | − | 216.258i | −0.275737 | − | 0.412670i | ||||
\(66\) | 151.533 | − | 307.993i | 0.282612 | − | 0.574413i | ||||
\(67\) | − | 169.800i | − | 0.309618i | −0.987944 | − | 0.154809i | \(-0.950524\pi\) | ||
0.987944 | − | 0.154809i | \(-0.0494762\pi\) | |||||||
\(68\) | 190.582 | + | 309.623i | 0.339874 | + | 0.552166i | ||||
\(69\) | 453.273 | + | 515.899i | 0.790835 | + | 0.900101i | ||||
\(70\) | 273.197 | + | 659.556i | 0.466475 | + | 1.12617i | ||||
\(71\) | 362.622 | − | 242.296i | 0.606131 | − | 0.405004i | −0.214285 | − | 0.976771i | \(-0.568742\pi\) |
0.820416 | + | 0.571768i | \(0.193742\pi\) | |||||||
\(72\) | −473.089 | + | 364.401i | −0.774363 | + | 0.596459i | ||||
\(73\) | −77.2244 | + | 388.233i | −0.123814 | + | 0.622456i | 0.868188 | + | 0.496235i | \(0.165285\pi\) |
−0.992002 | + | 0.126221i | \(0.959715\pi\) | |||||||
\(74\) | 220.913 | + | 147.610i | 0.347036 | + | 0.231882i | ||||
\(75\) | −59.6485 | − | 45.6827i | −0.0918348 | − | 0.0703331i | ||||
\(76\) | 100.331 | + | 41.5583i | 0.151430 | + | 0.0627245i | ||||
\(77\) | 1311.60 | + | 543.281i | 1.94117 | + | 0.804059i | ||||
\(78\) | −152.383 | − | 116.705i | −0.221205 | − | 0.169413i | ||||
\(79\) | −224.064 | − | 149.714i | −0.319103 | − | 0.213218i | 0.385694 | − | 0.922627i | \(-0.373962\pi\) |
−0.704797 | + | 0.709409i | \(0.748962\pi\) | |||||||
\(80\) | −10.1424 | + | 50.9892i | −0.0141744 | + | 0.0712595i | ||||
\(81\) | 366.823 | + | 629.986i | 0.503187 | + | 0.864178i | ||||
\(82\) | −245.231 | + | 163.858i | −0.330259 | + | 0.220672i | ||||
\(83\) | −224.772 | − | 542.649i | −0.297253 | − | 0.717632i | −0.999981 | − | 0.00617317i | \(-0.998035\pi\) |
0.702728 | − | 0.711458i | \(-0.251965\pi\) | |||||||
\(84\) | −641.219 | − | 729.813i | −0.832889 | − | 0.947966i | ||||
\(85\) | −345.055 | + | 752.396i | −0.440311 | + | 0.960104i | ||||
\(86\) | − | 315.670i | − | 0.395809i | ||||||
\(87\) | 172.892 | − | 351.406i | 0.213057 | − | 0.433042i | ||||
\(88\) | −483.969 | − | 724.312i | −0.586265 | − | 0.877408i | ||||
\(89\) | −284.743 | − | 284.743i | −0.339132 | − | 0.339132i | 0.516909 | − | 0.856041i | \(-0.327083\pi\) |
−0.856041 | + | 0.516909i | \(0.827083\pi\) | |||||||
\(90\) | −506.705 | − | 170.963i | −0.593460 | − | 0.200234i | ||||
\(91\) | 441.037 | − | 660.059i | 0.508058 | − | 0.760362i | ||||
\(92\) | 672.365 | − | 133.742i | 0.761945 | − | 0.151560i | ||||
\(93\) | 288.528 | − | 98.2384i | 0.321709 | − | 0.109536i | ||||
\(94\) | 171.890 | − | 414.978i | 0.188607 | − | 0.455337i | ||||
\(95\) | 48.2342 | + | 242.490i | 0.0520918 | + | 0.261883i | ||||
\(96\) | 125.887 | + | 949.446i | 0.133836 | + | 1.00940i | ||||
\(97\) | −457.813 | − | 91.0646i | −0.479215 | − | 0.0953217i | −0.0504284 | − | 0.998728i | \(-0.516059\pi\) |
−0.428786 | + | 0.903406i | \(0.641059\pi\) | |||||||
\(98\) | −1133.97 | + | 1133.97i | −1.16886 | + | 1.16886i | ||||
\(99\) | −952.907 | + | 472.106i | −0.967381 | + | 0.479277i | ||||
\(100\) | −69.2918 | + | 28.7016i | −0.0692918 | + | 0.0287016i | ||||
\(101\) | −224.899 | −0.221567 | −0.110783 | − | 0.993845i | \(-0.535336\pi\) | ||||
−0.110783 | + | 0.993845i | \(0.535336\pi\) | |||||||
\(102\) | −62.0886 | + | 607.686i | −0.0602715 | + | 0.589901i | ||||
\(103\) | 947.307 | 0.906223 | 0.453112 | − | 0.891454i | \(-0.350314\pi\) | ||||
0.453112 | + | 0.891454i | \(0.350314\pi\) | |||||||
\(104\) | −450.035 | + | 186.410i | −0.424322 | + | 0.175760i | ||||
\(105\) | 570.479 | − | 2136.93i | 0.530219 | − | 1.98612i | ||||
\(106\) | −579.321 | + | 579.321i | −0.530836 | + | 0.530836i | ||||
\(107\) | −1267.90 | − | 252.202i | −1.14554 | − | 0.227862i | −0.414404 | − | 0.910093i | \(-0.636010\pi\) |
−0.731137 | + | 0.682230i | \(0.761010\pi\) | |||||||
\(108\) | 727.723 | − | 2.01050i | 0.648382 | − | 0.00179130i | ||||
\(109\) | −114.392 | − | 575.089i | −0.100521 | − | 0.505353i | −0.997939 | − | 0.0641716i | \(-0.979559\pi\) |
0.897418 | − | 0.441182i | \(-0.145441\pi\) | |||||||
\(110\) | 298.534 | − | 720.725i | 0.258765 | − | 0.624713i | ||||
\(111\) | −265.310 | − | 779.220i | −0.226866 | − | 0.666309i | ||||
\(112\) | −155.628 | + | 30.9563i | −0.131299 | + | 0.0261169i | ||||
\(113\) | −511.468 | + | 765.466i | −0.425795 | + | 0.637248i | −0.980895 | − | 0.194536i | \(-0.937680\pi\) |
0.555100 | + | 0.831784i | \(0.312680\pi\) | |||||||
\(114\) | 91.3732 | + | 157.927i | 0.0750692 | + | 0.129748i | ||||
\(115\) | 1103.61 | + | 1103.61i | 0.894892 | + | 0.894892i | ||||
\(116\) | −217.200 | − | 325.063i | −0.173849 | − | 0.260184i | ||||
\(117\) | 154.966 | + | 574.110i | 0.122450 | + | 0.453645i | ||||
\(118\) | − | 52.9982i | − | 0.0413465i | ||||||
\(119\) | −2524.67 | − | 94.1883i | −1.94484 | − | 0.0725565i | ||||
\(120\) | −1019.55 | + | 895.781i | −0.775596 | + | 0.681444i | ||||
\(121\) | −84.3146 | − | 203.553i | −0.0633468 | − | 0.152933i | ||||
\(122\) | 1303.57 | − | 871.017i | 0.967374 | − | 0.646378i | ||||
\(123\) | 911.856 | + | 58.9229i | 0.668450 | + | 0.0431943i | ||||
\(124\) | 59.3584 | − | 298.415i | 0.0429882 | − | 0.216116i | ||||
\(125\) | 1085.41 | + | 725.246i | 0.776654 | + | 0.518944i | ||||
\(126\) | −109.751 | − | 1628.52i | −0.0775986 | − | 1.15143i | ||||
\(127\) | 437.383 | + | 181.170i | 0.305602 | + | 0.126585i | 0.530214 | − | 0.847864i | \(-0.322111\pi\) |
−0.224612 | + | 0.974448i | \(0.572111\pi\) | |||||||
\(128\) | 937.875 | + | 388.481i | 0.647635 | + | 0.268259i | ||||
\(129\) | −594.650 | + | 776.443i | −0.405861 | + | 0.529938i | ||||
\(130\) | −362.704 | − | 242.351i | −0.244702 | − | 0.163504i | ||||
\(131\) | −67.5378 | + | 339.535i | −0.0450443 | + | 0.226453i | −0.996750 | − | 0.0805595i | \(-0.974329\pi\) |
0.951706 | + | 0.307012i | \(0.0993293\pi\) | |||||||
\(132\) | −68.4556 | + | 1059.38i | −0.0451386 | + | 0.698538i | ||||
\(133\) | −627.444 | + | 419.245i | −0.409070 | + | 0.273332i | ||||
\(134\) | −108.983 | − | 263.107i | −0.0702587 | − | 0.169619i | ||||
\(135\) | 924.269 | + | 1375.03i | 0.589248 | + | 0.876619i | ||||
\(136\) | 1255.98 | + | 908.728i | 0.791906 | + | 0.572961i | ||||
\(137\) | − | 1379.37i | − | 0.860202i | −0.902781 | − | 0.430101i | \(-0.858478\pi\) | ||
0.902781 | − | 0.430101i | \(-0.141522\pi\) | |||||||
\(138\) | 1033.47 | + | 508.468i | 0.637498 | + | 0.313650i | ||||
\(139\) | −594.250 | − | 889.358i | −0.362616 | − | 0.542693i | 0.604639 | − | 0.796500i | \(-0.293317\pi\) |
−0.967255 | + | 0.253806i | \(0.918317\pi\) | |||||||
\(140\) | −1561.22 | − | 1561.22i | −0.942480 | − | 0.942480i | ||||
\(141\) | −1204.51 | + | 696.906i | −0.719421 | + | 0.416242i | ||||
\(142\) | 406.374 | − | 608.181i | 0.240156 | − | 0.359419i | ||||
\(143\) | −850.801 | + | 169.235i | −0.497536 | + | 0.0989660i | ||||
\(144\) | 59.2415 | − | 103.047i | 0.0342833 | − | 0.0596337i | ||||
\(145\) | 340.614 | − | 822.314i | 0.195079 | − | 0.470962i | ||||
\(146\) | 129.519 | + | 651.137i | 0.0734184 | + | 0.369099i | ||||
\(147\) | 4925.31 | − | 653.044i | 2.76349 | − | 0.366409i | ||||
\(148\) | −805.922 | − | 160.308i | −0.447610 | − | 0.0890353i | ||||
\(149\) | 1933.40 | − | 1933.40i | 1.06302 | − | 1.06302i | 0.0651485 | − | 0.997876i | \(-0.479248\pi\) |
0.997876 | − | 0.0651485i | \(-0.0207521\pi\) | |||||||
\(150\) | −121.746 | − | 32.5017i | −0.0662703 | − | 0.0176917i | ||||
\(151\) | −2275.88 | + | 942.700i | −1.22655 | + | 0.508052i | −0.899485 | − | 0.436952i | \(-0.856058\pi\) |
−0.327061 | + | 0.945003i | \(0.606058\pi\) | |||||||
\(152\) | 463.045 | 0.247092 | ||||||||
\(153\) | 1297.46 | − | 1377.74i | 0.685577 | − | 0.728000i | ||||
\(154\) | 2381.02 | 1.24590 | ||||||||
\(155\) | 639.975 | − | 265.086i | 0.331639 | − | 0.137369i | ||||
\(156\) | 573.532 | + | 153.112i | 0.294355 | + | 0.0785816i | ||||
\(157\) | −1288.61 | + | 1288.61i | −0.655046 | + | 0.655046i | −0.954204 | − | 0.299157i | \(-0.903294\pi\) |
0.299157 | + | 0.954204i | \(0.403294\pi\) | |||||||
\(158\) | −443.280 | − | 88.1738i | −0.223199 | − | 0.0443971i | ||||
\(159\) | 2516.24 | − | 333.627i | 1.25504 | − | 0.166405i | ||||
\(160\) | 424.651 | + | 2134.86i | 0.209822 | + | 1.05485i | ||||
\(161\) | −1822.98 | + | 4401.06i | −0.892366 | + | 2.15436i | ||||
\(162\) | 972.739 | + | 740.732i | 0.471763 | + | 0.359243i | ||||
\(163\) | 202.447 | − | 40.2691i | 0.0972812 | − | 0.0193504i | −0.146210 | − | 0.989254i | \(-0.546707\pi\) |
0.243491 | + | 0.969903i | \(0.421707\pi\) | |||||||
\(164\) | 506.770 | − | 758.435i | 0.241293 | − | 0.361121i | ||||
\(165\) | −2091.97 | + | 1210.37i | −0.987030 | + | 0.571075i | ||||
\(166\) | −696.575 | − | 696.575i | −0.325691 | − | 0.325691i | ||||
\(167\) | −696.182 | − | 1041.91i | −0.322588 | − | 0.482787i | 0.634364 | − | 0.773035i | \(-0.281262\pi\) |
−0.956951 | + | 0.290248i | \(0.906262\pi\) | |||||||
\(168\) | −3716.81 | − | 1828.68i | −1.70689 | − | 0.839794i | ||||
\(169\) | − | 1711.93i | − | 0.779212i | ||||||
\(170\) | −51.7567 | + | 1387.31i | −0.0233503 | + | 0.625894i | ||||
\(171\) | 72.7508 | − | 560.574i | 0.0325345 | − | 0.250691i | ||||
\(172\) | 373.608 | + | 901.970i | 0.165624 | + | 0.399852i | ||||
\(173\) | 1055.70 | − | 705.395i | 0.463950 | − | 0.310001i | −0.301535 | − | 0.953455i | \(-0.597499\pi\) |
0.765485 | + | 0.643454i | \(0.222499\pi\) | |||||||
\(174\) | 42.3558 | − | 655.474i | 0.0184540 | − | 0.285582i | ||||
\(175\) | 101.675 | − | 511.154i | 0.0439194 | − | 0.220798i | ||||
\(176\) | 144.171 | + | 96.3320i | 0.0617460 | + | 0.0412574i | ||||
\(177\) | −99.8365 | + | 130.358i | −0.0423965 | + | 0.0553576i | ||||
\(178\) | −623.969 | − | 258.457i | −0.262744 | − | 0.108832i | ||||
\(179\) | −1389.71 | − | 575.638i | −0.580291 | − | 0.240364i | 0.0731766 | − | 0.997319i | \(-0.476686\pi\) |
−0.653467 | + | 0.756955i | \(0.726686\pi\) | |||||||
\(180\) | 1650.16 | − | 111.210i | 0.683309 | − | 0.0460505i | ||||
\(181\) | −3421.51 | − | 2286.18i | −1.40508 | − | 0.938841i | −0.999695 | − | 0.0246929i | \(-0.992139\pi\) |
−0.405380 | − | 0.914148i | \(-0.632861\pi\) | |||||||
\(182\) | 259.747 | − | 1305.84i | 0.105790 | − | 0.531841i | ||||
\(183\) | −4847.14 | − | 313.216i | −1.95798 | − | 0.126522i | ||||
\(184\) | 2430.43 | − | 1623.96i | 0.973769 | − | 0.650652i | ||||
\(185\) | −715.912 | − | 1728.36i | −0.284513 | − | 0.686875i | ||||
\(186\) | 384.025 | − | 337.407i | 0.151387 | − | 0.133010i | ||||
\(187\) | 1878.00 | + | 2023.56i | 0.734401 | + | 0.791321i | ||||
\(188\) | 1389.16i | 0.538910i | ||||||||
\(189\) | −2797.80 | + | 4212.35i | −1.07677 | + | 1.62118i | ||||
\(190\) | 230.376 | + | 344.782i | 0.0879644 | + | 0.131648i | ||||
\(191\) | 744.818 | + | 744.818i | 0.282163 | + | 0.282163i | 0.833971 | − | 0.551808i | \(-0.186062\pi\) |
−0.551808 | + | 0.833971i | \(0.686062\pi\) | |||||||
\(192\) | 712.798 | + | 1231.98i | 0.267926 | + | 0.463076i | ||||
\(193\) | −1206.82 | + | 1806.13i | −0.450097 | + | 0.673618i | −0.985247 | − | 0.171139i | \(-0.945255\pi\) |
0.535150 | + | 0.844757i | \(0.320255\pi\) | |||||||
\(194\) | −767.833 | + | 152.732i | −0.284161 | + | 0.0565231i | ||||
\(195\) | 435.596 | + | 1279.35i | 0.159968 | + | 0.469827i | ||||
\(196\) | 1898.01 | − | 4582.19i | 0.691693 | − | 1.66990i | ||||
\(197\) | 756.356 | + | 3802.46i | 0.273544 | + | 1.37520i | 0.836163 | + | 0.548482i | \(0.184794\pi\) |
−0.562619 | + | 0.826716i | \(0.690206\pi\) | |||||||
\(198\) | −1173.53 | + | 1343.14i | −0.421207 | + | 0.482083i | ||||
\(199\) | −1150.36 | − | 228.820i | −0.409782 | − | 0.0815107i | −0.0141052 | − | 0.999901i | \(-0.504490\pi\) |
−0.395677 | + | 0.918390i | \(0.629490\pi\) | |||||||
\(200\) | −226.129 | + | 226.129i | −0.0799488 | + | 0.0799488i | ||||
\(201\) | −227.573 | + | 852.454i | −0.0798596 | + | 0.299142i | ||||
\(202\) | −348.483 | + | 144.346i | −0.121382 | + | 0.0502781i | ||||
\(203\) | 2716.64 | 0.939265 | ||||||||
\(204\) | −541.814 | − | 1809.84i | −0.185954 | − | 0.621147i | ||||
\(205\) | 2076.70 | 0.707526 | ||||||||
\(206\) | 1467.86 | − | 608.009i | 0.496461 | − | 0.205641i | ||||
\(207\) | −1584.15 | − | 3197.48i | −0.531914 | − | 1.07362i | ||||
\(208\) | 68.5596 | − | 68.5596i | 0.0228546 | − | 0.0228546i | ||||
\(209\) | 808.762 | + | 160.873i | 0.267671 | + | 0.0532431i | ||||
\(210\) | −487.576 | − | 3677.34i | −0.160219 | − | 1.20838i | ||||
\(211\) | 60.2207 | + | 302.750i | 0.0196482 | + | 0.0987781i | 0.989365 | − | 0.145454i | \(-0.0464642\pi\) |
−0.969717 | + | 0.244232i | \(0.921464\pi\) | |||||||
\(212\) | 969.654 | − | 2340.95i | 0.314133 | − | 0.758383i | ||||
\(213\) | −2145.22 | + | 730.407i | −0.690084 | + | 0.234961i | ||||
\(214\) | −2126.50 | + | 422.987i | −0.679274 | + | 0.135116i | ||||
\(215\) | −1234.86 | + | 1848.10i | −0.391705 | + | 0.586228i | ||||
\(216\) | 2863.45 | − | 1195.36i | 0.902005 | − | 0.376546i | ||||
\(217\) | 1495.00 | + | 1495.00i | 0.467684 | + | 0.467684i | ||||
\(218\) | −546.360 | − | 817.686i | −0.169744 | − | 0.254040i | ||||
\(219\) | 908.019 | − | 1845.56i | 0.280174 | − | 0.569459i | ||||
\(220\) | 2412.67i | 0.739372i | ||||||||
\(221\) | 1314.66 | − | 809.210i | 0.400152 | − | 0.246305i | ||||
\(222\) | −911.227 | − | 1037.13i | −0.275484 | − | 0.313547i | ||||
\(223\) | −1408.96 | − | 3401.54i | −0.423100 | − | 1.02145i | −0.981428 | − | 0.191833i | \(-0.938557\pi\) |
0.558328 | − | 0.829620i | \(-0.311443\pi\) | |||||||
\(224\) | −5523.98 | + | 3691.01i | −1.64771 | + | 1.10096i | ||||
\(225\) | 238.230 | + | 309.286i | 0.0705865 | + | 0.0916402i | ||||
\(226\) | −301.228 | + | 1514.37i | −0.0886609 | + | 0.445728i | ||||
\(227\) | 570.859 | + | 381.436i | 0.166913 | + | 0.111528i | 0.636221 | − | 0.771507i | \(-0.280497\pi\) |
−0.469308 | + | 0.883034i | \(0.655497\pi\) | |||||||
\(228\) | −447.995 | − | 343.104i | −0.130128 | − | 0.0996605i | ||||
\(229\) | 2578.75 | + | 1068.15i | 0.744143 | + | 0.308234i | 0.722349 | − | 0.691528i | \(-0.243062\pi\) |
0.0217940 | + | 0.999762i | \(0.493062\pi\) | |||||||
\(230\) | 2418.39 | + | 1001.73i | 0.693322 | + | 0.287184i | ||||
\(231\) | −5856.52 | − | 4485.30i | −1.66810 | − | 1.27754i | ||||
\(232\) | −1386.03 | − | 926.116i | −0.392230 | − | 0.262080i | ||||
\(233\) | 442.037 | − | 2222.27i | 0.124287 | − | 0.624832i | −0.867553 | − | 0.497344i | \(-0.834309\pi\) |
0.991840 | − | 0.127488i | \(-0.0406914\pi\) | |||||||
\(234\) | 608.602 | + | 790.128i | 0.170024 | + | 0.220736i | ||||
\(235\) | −2629.67 | + | 1757.09i | −0.729959 | + | 0.487743i | ||||
\(236\) | 62.7255 | + | 151.433i | 0.0173012 | + | 0.0417688i | ||||
\(237\) | 924.220 | + | 1051.92i | 0.253310 | + | 0.288309i | ||||
\(238\) | −3972.46 | + | 1474.46i | −1.08192 | + | 0.401576i | ||||
\(239\) | 4686.45i | 1.26837i | 0.773180 | + | 0.634187i | \(0.218665\pi\) | ||||
−0.773180 | + | 0.634187i | \(0.781335\pi\) | |||||||
\(240\) | 119.256 | − | 242.389i | 0.0320747 | − | 0.0651924i | ||||
\(241\) | 614.941 | + | 920.324i | 0.164364 | + | 0.245989i | 0.904505 | − | 0.426464i | \(-0.140241\pi\) |
−0.740140 | + | 0.672453i | \(0.765241\pi\) | |||||||
\(242\) | −261.293 | − | 261.293i | −0.0694072 | − | 0.0694072i | ||||
\(243\) | −997.242 | − | 3654.37i | −0.263264 | − | 0.964724i | ||||
\(244\) | −2693.83 | + | 4031.60i | −0.706781 | + | 1.05777i | ||||
\(245\) | 11074.7 | − | 2202.90i | 2.88791 | − | 0.574442i | ||||
\(246\) | 1450.75 | − | 493.954i | 0.376002 | − | 0.128022i | ||||
\(247\) | 176.457 | − | 426.004i | 0.0454562 | − | 0.109741i | ||||
\(248\) | −253.097 | − | 1272.40i | −0.0648052 | − | 0.325798i | ||||
\(249\) | 401.153 | + | 3025.53i | 0.102097 | + | 0.770020i | ||||
\(250\) | 2147.33 | + | 427.131i | 0.543237 | + | 0.108057i | ||||
\(251\) | 1227.94 | − | 1227.94i | 0.308792 | − | 0.308792i | −0.535649 | − | 0.844441i | \(-0.679933\pi\) |
0.844441 | + | 0.535649i | \(0.179933\pi\) | |||||||
\(252\) | 2241.01 | + | 4523.29i | 0.560199 | + | 1.13072i | ||||
\(253\) | 4809.23 | − | 1992.05i | 1.19507 | − | 0.495016i | ||||
\(254\) | 794.010 | 0.196144 | ||||||||
\(255\) | 2740.68 | − | 3314.82i | 0.673052 | − | 0.814049i | ||||
\(256\) | 3893.94 | 0.950669 | ||||||||
\(257\) | 1252.77 | − | 518.916i | 0.304070 | − | 0.125950i | −0.225431 | − | 0.974259i | \(-0.572379\pi\) |
0.529501 | + | 0.848309i | \(0.322379\pi\) | |||||||
\(258\) | −423.074 | + | 1584.77i | −0.102091 | + | 0.382417i | ||||
\(259\) | 4037.52 | − | 4037.52i | 0.968646 | − | 0.968646i | ||||
\(260\) | 1323.19 | + | 263.199i | 0.315619 | + | 0.0627805i | ||||
\(261\) | −1338.94 | + | 1532.46i | −0.317542 | + | 0.363436i | ||||
\(262\) | 113.273 | + | 569.461i | 0.0267100 | + | 0.134280i | ||||
\(263\) | 361.732 | − | 873.298i | 0.0848112 | − | 0.204752i | −0.875784 | − | 0.482703i | \(-0.839655\pi\) |
0.960595 | + | 0.277951i | \(0.0896551\pi\) | |||||||
\(264\) | 1458.94 | + | 4284.92i | 0.340119 | + | 0.998934i | ||||
\(265\) | 5657.86 | − | 1125.42i | 1.31155 | − | 0.260883i | ||||
\(266\) | −703.149 | + | 1052.34i | −0.162078 | + | 0.242567i | ||||
\(267\) | 1047.88 | + | 1811.13i | 0.240185 | + | 0.415129i | ||||
\(268\) | 622.796 | + | 622.796i | 0.141953 | + | 0.141953i | ||||
\(269\) | −4778.84 | − | 7152.04i | −1.08316 | − | 1.62107i | −0.726989 | − | 0.686649i | \(-0.759081\pi\) |
−0.356174 | − | 0.934420i | \(-0.615919\pi\) | |||||||
\(270\) | 2314.70 | + | 1537.40i | 0.521733 | + | 0.346530i | ||||
\(271\) | − | 1264.39i | − | 0.283417i | −0.989908 | − | 0.141709i | \(-0.954740\pi\) | ||
0.989908 | − | 0.141709i | \(-0.0452596\pi\) | |||||||
\(272\) | −300.186 | − | 71.4400i | −0.0669172 | − | 0.0159253i | ||||
\(273\) | −3098.79 | + | 2722.62i | −0.686987 | + | 0.603591i | ||||
\(274\) | −885.319 | − | 2137.35i | −0.195197 | − | 0.471248i | ||||
\(275\) | −473.524 | + | 316.399i | −0.103835 | + | 0.0693802i | ||||
\(276\) | −3554.74 | − | 229.703i | −0.775255 | − | 0.0500959i | ||||
\(277\) | −1420.09 | + | 7139.29i | −0.308033 | + | 1.54859i | 0.447989 | + | 0.894039i | \(0.352140\pi\) |
−0.756022 | + | 0.654547i | \(0.772860\pi\) | |||||||
\(278\) | −1491.61 | − | 996.663i | −0.321802 | − | 0.215021i | ||||
\(279\) | −1580.17 | + | 106.493i | −0.339076 | + | 0.0228515i | ||||
\(280\) | −8697.61 | − | 3602.67i | −1.85636 | − | 0.768930i | ||||
\(281\) | −6599.43 | − | 2733.58i | −1.40103 | − | 0.580325i | −0.451011 | − | 0.892519i | \(-0.648936\pi\) |
−0.950019 | + | 0.312193i | \(0.898936\pi\) | |||||||
\(282\) | −1419.11 | + | 1852.96i | −0.299670 | + | 0.391283i | ||||
\(283\) | 5012.59 | + | 3349.30i | 1.05289 | + | 0.703518i | 0.956472 | − | 0.291824i | \(-0.0942620\pi\) |
0.0964163 | + | 0.995341i | \(0.469262\pi\) | |||||||
\(284\) | −441.332 | + | 2218.73i | −0.0922121 | + | 0.463582i | ||||
\(285\) | 82.8427 | − | 1282.02i | 0.0172182 | − | 0.266458i | ||||
\(286\) | −1209.71 | + | 808.300i | −0.250110 | + | 0.167118i | ||||
\(287\) | 2425.62 | + | 5855.96i | 0.498884 | + | 1.20441i | ||||
\(288\) | 640.493 | − | 4935.25i | 0.131047 | − | 1.00977i | ||||
\(289\) | −4386.31 | − | 2213.10i | −0.892797 | − | 0.450459i | ||||
\(290\) | − | 1492.80i | − | 0.302277i | ||||||
\(291\) | 2176.32 | + | 1070.75i | 0.438414 | + | 0.215700i | ||||
\(292\) | −1140.72 | − | 1707.21i | −0.228616 | − | 0.342148i | ||||
\(293\) | 1320.23 | + | 1320.23i | 0.263238 | + | 0.263238i | 0.826368 | − | 0.563130i | \(-0.190403\pi\) |
−0.563130 | + | 0.826368i | \(0.690403\pi\) | |||||||
\(294\) | 7212.67 | − | 4173.10i | 1.43079 | − | 0.827824i | ||||
\(295\) | −207.322 | + | 310.279i | −0.0409177 | + | 0.0612377i | ||||
\(296\) | −3436.36 | + | 683.534i | −0.674777 | + | 0.134222i | ||||
\(297\) | 5416.65 | − | 1093.00i | 1.05827 | − | 0.213544i | ||||
\(298\) | 1754.92 | − | 4236.74i | 0.341140 | − | 0.823584i | ||||
\(299\) | −567.868 | − | 2854.87i | −0.109835 | − | 0.552178i | ||||
\(300\) | 386.335 | − | 51.2240i | 0.0743502 | − | 0.00985806i | ||||
\(301\) | −6653.68 | − | 1323.50i | −1.27412 | − | 0.253439i | ||||
\(302\) | −2921.45 | + | 2921.45i | −0.556657 | + | 0.556657i | ||||
\(303\) | 1129.07 | + | 301.418i | 0.214070 | + | 0.0571486i | ||||
\(304\) | −85.1513 | + | 35.2708i | −0.0160650 | + | 0.00665435i | ||||
\(305\) | −11039.1 | −2.07244 | ||||||||
\(306\) | 1126.15 | − | 2967.57i | 0.210385 | − | 0.554395i | ||||
\(307\) | −7057.20 | −1.31197 | −0.655987 | − | 0.754772i | \(-0.727747\pi\) | ||||
−0.655987 | + | 0.754772i | \(0.727747\pi\) | |||||||
\(308\) | −6803.34 | + | 2818.04i | −1.25862 | + | 0.521339i | ||||
\(309\) | −4755.80 | − | 1269.62i | −0.875560 | − | 0.233742i | ||||
\(310\) | 821.508 | − | 821.508i | 0.150511 | − | 0.150511i | ||||
\(311\) | 7329.87 | + | 1458.00i | 1.33646 | + | 0.265838i | 0.811032 | − | 0.585001i | \(-0.198906\pi\) |
0.525426 | + | 0.850839i | \(0.323906\pi\) | |||||||
\(312\) | 2509.16 | − | 332.688i | 0.455299 | − | 0.0603678i | ||||
\(313\) | −778.307 | − | 3912.81i | −0.140551 | − | 0.706598i | −0.985218 | − | 0.171306i | \(-0.945201\pi\) |
0.844667 | − | 0.535292i | \(-0.179799\pi\) | |||||||
\(314\) | −1169.65 | + | 2823.78i | −0.210214 | + | 0.507501i | ||||
\(315\) | −5727.99 | + | 9963.50i | −1.02456 | + | 1.78216i | ||||
\(316\) | 1370.95 | − | 272.699i | 0.244057 | − | 0.0485459i | ||||
\(317\) | 4441.94 | − | 6647.83i | 0.787016 | − | 1.17785i | −0.193439 | − | 0.981112i | \(-0.561964\pi\) |
0.980456 | − | 0.196741i | \(-0.0630357\pi\) | |||||||
\(318\) | 3684.81 | − | 2131.96i | 0.649793 | − | 0.375956i | ||||
\(319\) | −2099.11 | − | 2099.11i | −0.368425 | − | 0.368425i | ||||
\(320\) | 1797.15 | + | 2689.63i | 0.313950 | + | 0.469859i | ||||
\(321\) | 6027.29 | + | 2965.43i | 1.04801 | + | 0.515621i | ||||
\(322\) | 7989.53i | 1.38273i | ||||||||
\(323\) | −1448.95 | + | 232.432i | −0.249602 | + | 0.0400399i | ||||
\(324\) | −3656.11 | − | 965.231i | −0.626905 | − | 0.165506i | ||||
\(325\) | 121.867 | + | 294.213i | 0.0207999 | + | 0.0502155i | ||||
\(326\) | 287.847 | − | 192.333i | 0.0489030 | − | 0.0326760i | ||||
\(327\) | −196.470 | + | 3040.45i | −0.0332257 | + | 0.514181i | ||||
\(328\) | 758.775 | − | 3814.62i | 0.127733 | − | 0.642156i | ||||
\(329\) | −8026.20 | − | 5362.94i | −1.34498 | − | 0.898688i | ||||
\(330\) | −2464.69 | + | 3218.17i | −0.411141 | + | 0.536832i | ||||
\(331\) | −6346.83 | − | 2628.94i | −1.05394 | − | 0.436555i | −0.212642 | − | 0.977130i | \(-0.568207\pi\) |
−0.841296 | + | 0.540575i | \(0.818207\pi\) | |||||||
\(332\) | 2814.76 | + | 1165.91i | 0.465301 | + | 0.192734i | ||||
\(333\) | 287.603 | + | 4267.53i | 0.0473290 | + | 0.702279i | ||||
\(334\) | −1747.47 | − | 1167.62i | −0.286279 | − | 0.191286i | ||||
\(335\) | −391.199 | + | 1966.69i | −0.0638014 | + | 0.320751i | ||||
\(336\) | 822.793 | + | 53.1678i | 0.133592 | + | 0.00863256i | ||||
\(337\) | 9559.44 | − | 6387.42i | 1.54521 | − | 1.03248i | 0.567286 | − | 0.823521i | \(-0.307993\pi\) |
0.977925 | − | 0.208956i | \(-0.0670066\pi\) | |||||||
\(338\) | −1098.76 | − | 2652.65i | −0.176819 | − | 0.426879i | ||||
\(339\) | 3593.65 | − | 3157.41i | 0.575753 | − | 0.505861i | ||||
\(340\) | −1494.05 | − | 4025.25i | −0.238313 | − | 0.642058i | ||||
\(341\) | − | 2310.34i | − | 0.366896i | ||||||
\(342\) | −247.064 | − | 915.308i | −0.0390634 | − | 0.144720i | ||||
\(343\) | 12278.7 | + | 18376.4i | 1.93292 | + | 2.89281i | ||||
\(344\) | 2943.52 | + | 2943.52i | 0.461349 | + | 0.461349i | ||||
\(345\) | −4061.40 | − | 7019.62i | −0.633793 | − | 1.09543i | ||||
\(346\) | 1183.07 | − | 1770.59i | 0.183822 | − | 0.275109i | ||||
\(347\) | −11424.1 | + | 2272.40i | −1.76737 | + | 0.351553i | −0.968321 | − | 0.249708i | \(-0.919665\pi\) |
−0.799053 | + | 0.601261i | \(0.794665\pi\) | |||||||
\(348\) | 654.755 | + | 1923.03i | 0.100858 | + | 0.296221i | ||||
\(349\) | −485.515 | + | 1172.14i | −0.0744671 | + | 0.179780i | −0.956730 | − | 0.290978i | \(-0.906019\pi\) |
0.882263 | + | 0.470758i | \(0.156019\pi\) | |||||||
\(350\) | −170.527 | − | 857.296i | −0.0260430 | − | 0.130927i | ||||
\(351\) | −8.53660 | − | 3089.92i | −0.00129815 | − | 0.469879i | ||||
\(352\) | 7120.29 | + | 1416.31i | 1.07816 | + | 0.214460i | ||||
\(353\) | 7656.77 | − | 7656.77i | 1.15447 | − | 1.15447i | 0.168826 | − | 0.985646i | \(-0.446002\pi\) |
0.985646 | − | 0.168826i | \(-0.0539977\pi\) | |||||||
\(354\) | −71.0304 | + | 266.069i | −0.0106645 | + | 0.0399475i | ||||
\(355\) | −4758.24 | + | 1970.93i | −0.711383 | + | 0.294665i | ||||
\(356\) | 2088.77 | 0.310968 | ||||||||
\(357\) | 12548.5 | + | 3856.52i | 1.86032 | + | 0.571733i | ||||
\(358\) | −2522.84 | −0.372447 | ||||||||
\(359\) | 7963.13 | − | 3298.44i | 1.17069 | − | 0.484916i | 0.289270 | − | 0.957248i | \(-0.406588\pi\) |
0.881421 | + | 0.472332i | \(0.156588\pi\) | |||||||
\(360\) | 6319.03 | − | 3130.68i | 0.925117 | − | 0.458337i | ||||
\(361\) | 4540.11 | − | 4540.11i | 0.661920 | − | 0.661920i | ||||
\(362\) | −6769.00 | − | 1346.44i | −0.982791 | − | 0.195489i | ||||
\(363\) | 150.477 | + | 1134.91i | 0.0217575 | + | 0.164097i | ||||
\(364\) | 803.330 | + | 4038.61i | 0.115676 | + | 0.581541i | ||||
\(365\) | 1788.88 | − | 4318.75i | 0.256533 | − | 0.619325i | ||||
\(366\) | −7711.72 | + | 2625.70i | −1.10136 | + | 0.374993i | ||||
\(367\) | 8481.04 | − | 1686.98i | 1.20629 | − | 0.239945i | 0.449302 | − | 0.893380i | \(-0.351673\pi\) |
0.756983 | + | 0.653435i | \(0.226673\pi\) | |||||||
\(368\) | −323.242 | + | 483.766i | −0.0457885 | + | 0.0685273i | ||||
\(369\) | −4498.85 | − | 1517.92i | −0.634691 | − | 0.214146i | ||||
\(370\) | −2218.63 | − | 2218.63i | −0.311732 | − | 0.311732i | ||||
\(371\) | 9781.99 | + | 14639.8i | 1.36888 | + | 2.04868i | ||||
\(372\) | −697.946 | + | 1418.59i | −0.0972764 | + | 0.197716i | ||||
\(373\) | 7283.73i | 1.01109i | 0.862800 | + | 0.505546i | \(0.168709\pi\) | ||||
−0.862800 | + | 0.505546i | \(0.831291\pi\) | |||||||
\(374\) | 4208.76 | + | 1930.17i | 0.581897 | + | 0.266863i | ||||
\(375\) | −4477.10 | − | 5095.68i | −0.616524 | − | 0.701706i | ||||
\(376\) | 2266.72 | + | 5472.35i | 0.310897 | + | 0.750571i | ||||
\(377\) | −1380.22 | + | 922.233i | −0.188554 | + | 0.125988i | ||||
\(378\) | −1631.62 | + | 8322.79i | −0.222014 | + | 1.13248i | ||||
\(379\) | −713.029 | + | 3584.64i | −0.0966382 | + | 0.485833i | 0.901908 | + | 0.431928i | \(0.142167\pi\) |
−0.998546 | + | 0.0539045i | \(0.982833\pi\) | |||||||
\(380\) | −1066.32 | − | 712.493i | −0.143950 | − | 0.0961845i | ||||
\(381\) | −1953.00 | − | 1495.73i | −0.262612 | − | 0.201125i | ||||
\(382\) | 1632.15 | + | 676.058i | 0.218607 | + | 0.0905502i | ||||
\(383\) | −3091.52 | − | 1280.55i | −0.412452 | − | 0.170843i | 0.166802 | − | 0.985990i | \(-0.446656\pi\) |
−0.579254 | + | 0.815147i | \(0.696656\pi\) | |||||||
\(384\) | −4187.79 | − | 3207.28i | −0.556529 | − | 0.426226i | ||||
\(385\) | −13939.7 | − | 9314.23i | −1.84528 | − | 1.23298i | ||||
\(386\) | −710.752 | + | 3573.19i | −0.0937210 | + | 0.471168i | ||||
\(387\) | 4025.96 | − | 3101.03i | 0.528815 | − | 0.407323i | ||||
\(388\) | 2013.18 | − | 1345.16i | 0.263412 | − | 0.176006i | ||||
\(389\) | 1270.22 | + | 3066.58i | 0.165560 | + | 0.399697i | 0.984785 | − | 0.173775i | \(-0.0555964\pi\) |
−0.819226 | + | 0.573471i | \(0.805596\pi\) | |||||||
\(390\) | 1496.09 | + | 1702.79i | 0.194249 | + | 0.221088i | ||||
\(391\) | −6790.04 | + | 6301.63i | −0.878228 | + | 0.815057i | ||||
\(392\) | − | 21147.7i | − | 2.72480i | ||||||
\(393\) | 794.121 | − | 1614.06i | 0.101929 | − | 0.207172i | ||||
\(394\) | 3612.51 | + | 5406.50i | 0.461918 | + | 0.691309i | ||||
\(395\) | 2250.26 | + | 2250.26i | 0.286641 | + | 0.286641i | ||||
\(396\) | 1763.49 | − | 5226.68i | 0.223785 | − | 0.663259i | ||||
\(397\) | −1244.87 | + | 1863.08i | −0.157376 | + | 0.235530i | −0.901776 | − | 0.432205i | \(-0.857736\pi\) |
0.744400 | + | 0.667734i | \(0.232736\pi\) | |||||||
\(398\) | −1929.35 | + | 383.772i | −0.242989 | + | 0.0483336i | ||||
\(399\) | 3711.87 | − | 1263.82i | 0.465729 | − | 0.158572i | ||||
\(400\) | 24.3593 | − | 58.8085i | 0.00304491 | − | 0.00735106i | ||||
\(401\) | 738.417 | + | 3712.27i | 0.0919570 | + | 0.462299i | 0.999136 | + | 0.0415547i | \(0.0132311\pi\) |
−0.907179 | + | 0.420744i | \(0.861769\pi\) | |||||||
\(402\) | 194.502 | + | 1466.95i | 0.0241315 | + | 0.182002i | ||||
\(403\) | −1267.07 | − | 252.036i | −0.156618 | − | 0.0311534i | ||||
\(404\) | 824.887 | − | 824.887i | 0.101583 | − | 0.101583i | ||||
\(405\) | −2797.27 | − | 8141.84i | −0.343204 | − | 0.998942i | ||||
\(406\) | 4209.46 | − | 1743.62i | 0.514562 | − | 0.213139i | ||||
\(407\) | −6239.47 | −0.759900 | ||||||||
\(408\) | −5087.52 | − | 6245.43i | −0.617328 | − | 0.757830i | ||||
\(409\) | 11576.8 | 1.39960 | 0.699800 | − | 0.714339i | \(-0.253273\pi\) | ||||
0.699800 | + | 0.714339i | \(0.253273\pi\) | |||||||
\(410\) | 3217.86 | − | 1332.88i | 0.387607 | − | 0.160552i | ||||
\(411\) | −1848.69 | + | 6924.90i | −0.221871 | + | 0.831096i | ||||
\(412\) | −3474.55 | + | 3474.55i | −0.415482 | + | 0.415482i | ||||
\(413\) | −1117.09 | − | 222.204i | −0.133096 | − | 0.0264744i | ||||
\(414\) | −4506.89 | − | 3937.78i | −0.535028 | − | 0.467467i | ||||
\(415\) | 1353.20 | + | 6803.01i | 0.160063 | + | 0.804690i | ||||
\(416\) | 1553.51 | − | 3750.51i | 0.183094 | − | 0.442029i | ||||
\(417\) | 1791.38 | + | 5261.31i | 0.210370 | + | 0.617860i | ||||
\(418\) | 1356.44 | − | 269.812i | 0.158722 | − | 0.0315717i | ||||
\(419\) | −3171.83 | + | 4746.98i | −0.369818 | + | 0.553472i | −0.968975 | − | 0.247160i | \(-0.920503\pi\) |
0.599156 | + | 0.800632i | \(0.295503\pi\) | |||||||
\(420\) | 5745.44 | + | 9930.26i | 0.667497 | + | 1.15368i | ||||
\(421\) | 1500.09 | + | 1500.09i | 0.173658 | + | 0.173658i | 0.788584 | − | 0.614927i | \(-0.210814\pi\) |
−0.614927 | + | 0.788584i | \(0.710814\pi\) | |||||||
\(422\) | 287.626 | + | 430.463i | 0.0331787 | + | 0.0496555i | ||||
\(423\) | 6981.09 | − | 1884.36i | 0.802440 | − | 0.216598i | ||||
\(424\) | − | 10804.0i | − | 1.23747i | ||||||
\(425\) | 594.087 | − | 821.105i | 0.0678058 | − | 0.0937164i | ||||
\(426\) | −2855.24 | + | 2508.63i | −0.324734 | + | 0.285314i | ||||
\(427\) | −12893.8 | − | 31128.4i | −1.46130 | − | 3.52789i | ||||
\(428\) | 5575.47 | − | 3725.41i | 0.629674 | − | 0.420735i | ||||
\(429\) | 4498.12 | + | 290.663i | 0.506227 | + | 0.0327117i | ||||
\(430\) | −727.266 | + | 3656.21i | −0.0815625 | + | 0.410042i | ||||
\(431\) | 7772.59 | + | 5193.48i | 0.868660 | + | 0.580420i | 0.908077 | − | 0.418803i | \(-0.137550\pi\) |
−0.0394171 | + | 0.999223i | \(0.512550\pi\) | |||||||
\(432\) | −435.520 | + | 437.933i | −0.0485045 | + | 0.0487733i | ||||
\(433\) | −9894.89 | − | 4098.60i | −1.09819 | − | 0.454887i | −0.241337 | − | 0.970441i | \(-0.577586\pi\) |
−0.856857 | + | 0.515555i | \(0.827586\pi\) | |||||||
\(434\) | 3276.06 | + | 1356.99i | 0.362341 | + | 0.150086i | ||||
\(435\) | −2812.09 | + | 3671.79i | −0.309953 | + | 0.404710i | ||||
\(436\) | 2528.89 | + | 1689.75i | 0.277779 | + | 0.185606i | ||||
\(437\) | −539.809 | + | 2713.80i | −0.0590906 | + | 0.297068i | ||||
\(438\) | 222.450 | − | 3442.51i | 0.0242673 | − | 0.375547i | ||||
\(439\) | −4669.66 | + | 3120.17i | −0.507679 | + | 0.339220i | −0.782886 | − | 0.622165i | \(-0.786253\pi\) |
0.275208 | + | 0.961385i | \(0.411253\pi\) | |||||||
\(440\) | 3936.79 | + | 9504.25i | 0.426543 | + | 1.02977i | ||||
\(441\) | −25601.9 | − | 3322.60i | −2.76449 | − | 0.358773i | ||||
\(442\) | 1517.71 | − | 2097.67i | 0.163326 | − | 0.225737i | ||||
\(443\) | 9633.29i | 1.03316i | 0.856238 | + | 0.516582i | \(0.172796\pi\) | ||||
−0.856238 | + | 0.516582i | \(0.827204\pi\) | |||||||
\(444\) | 3831.14 | + | 1884.93i | 0.409500 | + | 0.201475i | ||||
\(445\) | 2641.99 | + | 3954.02i | 0.281443 | + | 0.421210i | ||||
\(446\) | −4366.41 | − | 4366.41i | −0.463577 | − | 0.463577i | ||||
\(447\) | −12297.6 | + | 7115.11i | −1.30124 | + | 0.752870i | ||||
\(448\) | −5485.23 | + | 8209.22i | −0.578466 | + | 0.865735i | ||||
\(449\) | 1712.84 | − | 340.705i | 0.180031 | − | 0.0358103i | −0.104252 | − | 0.994551i | \(-0.533245\pi\) |
0.284282 | + | 0.958741i | \(0.408245\pi\) | |||||||
\(450\) | 567.648 | + | 326.339i | 0.0594648 | + | 0.0341861i | ||||
\(451\) | 2650.58 | − | 6399.06i | 0.276742 | − | 0.668115i | ||||
\(452\) | −931.618 | − | 4683.56i | −0.0969460 | − | 0.487381i | ||||
\(453\) | 12689.1 | − | 1682.44i | 1.31609 | − | 0.174499i | ||||
\(454\) | 1129.37 | + | 224.645i | 0.116749 | + | 0.0232227i | ||||
\(455\) | −6628.95 | + | 6628.95i | −0.683011 | + | 0.683011i | ||||
\(456\) | −2324.64 | − | 620.592i | −0.238731 | − | 0.0637322i | ||||
\(457\) | 9154.03 | − | 3791.72i | 0.936996 | − | 0.388117i | 0.138668 | − | 0.990339i | \(-0.455718\pi\) |
0.798328 | + | 0.602222i | \(0.205718\pi\) | |||||||
\(458\) | 4681.38 | 0.477612 | ||||||||
\(459\) | −8360.18 | + | 5177.83i | −0.850153 | + | 0.526537i | ||||
\(460\) | −8095.71 | −0.820574 | ||||||||
\(461\) | 2342.58 | − | 970.327i | 0.236670 | − | 0.0980318i | −0.261197 | − | 0.965286i | \(-0.584117\pi\) |
0.497866 | + | 0.867254i | \(0.334117\pi\) | |||||||
\(462\) | −11953.5 | − | 3191.15i | −1.20374 | − | 0.321354i | ||||
\(463\) | 206.916 | − | 206.916i | 0.0207694 | − | 0.0207694i | −0.696646 | − | 0.717415i | \(-0.745325\pi\) |
0.717415 | + | 0.696646i | \(0.245325\pi\) | |||||||
\(464\) | 325.427 | + | 64.7314i | 0.0325594 | + | 0.00647647i | ||||
\(465\) | −3568.17 | + | 473.101i | −0.355849 | + | 0.0471818i | ||||
\(466\) | −741.375 | − | 3727.15i | −0.0736986 | − | 0.370508i | ||||
\(467\) | 536.158 | − | 1294.40i | 0.0531273 | − | 0.128261i | −0.895087 | − | 0.445891i | \(-0.852887\pi\) |
0.948215 | + | 0.317630i | \(0.102887\pi\) | |||||||
\(468\) | −2674.12 | − | 1537.34i | −0.264126 | − | 0.151845i | ||||
\(469\) | −6002.68 | + | 1194.01i | −0.590998 | + | 0.117557i | ||||
\(470\) | −2946.95 | + | 4410.42i | −0.289218 | + | 0.432846i | ||||
\(471\) | 8196.30 | − | 4742.21i | 0.801838 | − | 0.463926i | ||||
\(472\) | 494.191 | + | 494.191i | 0.0481928 | + | 0.0481928i | ||||
\(473\) | 4118.55 | + | 6163.85i | 0.400362 | + | 0.599184i | ||||
\(474\) | 2107.24 | + | 1036.76i | 0.204196 | + | 0.100464i | ||||
\(475\) | − | 302.719i | − | 0.0292415i | ||||||
\(476\) | 9605.48 | − | 8914.55i | 0.924930 | − | 0.858399i | ||||
\(477\) | −13079.5 | − | 1697.45i | −1.25549 | − | 0.162937i | ||||
\(478\) | 3007.90 | + | 7261.71i | 0.287820 | + | 0.694859i | ||||
\(479\) | −10380.3 | + | 6935.88i | −0.990160 | + | 0.661604i | −0.941430 | − | 0.337208i | \(-0.890517\pi\) |
−0.0487302 | + | 0.998812i | \(0.515517\pi\) | |||||||
\(480\) | 729.342 | − | 11286.9i | 0.0693536 | − | 1.07328i | ||||
\(481\) | −680.668 | + | 3421.95i | −0.0645234 | + | 0.324381i | ||||
\(482\) | 1543.55 | + | 1031.37i | 0.145865 | + | 0.0974635i | ||||
\(483\) | 15050.4 | − | 19651.6i | 1.41784 | − | 1.85130i | ||||
\(484\) | 1055.85 | + | 437.346i | 0.0991592 | + | 0.0410731i | ||||
\(485\) | 5092.76 | + | 2109.49i | 0.476804 | + | 0.197499i | ||||
\(486\) | −3890.72 | − | 5022.43i | −0.363141 | − | 0.468769i | ||||
\(487\) | −11095.5 | − | 7413.75i | −1.03241 | − | 0.689834i | −0.0806703 | − | 0.996741i | \(-0.525706\pi\) |
−0.951740 | + | 0.306907i | \(0.900706\pi\) | |||||||
\(488\) | −4033.40 | + | 20277.3i | −0.374147 | + | 1.88096i | ||||
\(489\) | −1070.32 | − | 69.1626i | −0.0989807 | − | 0.00639600i | ||||
\(490\) | 15746.5 | − | 10521.5i | 1.45175 | − | 0.970026i | ||||
\(491\) | 2077.16 | + | 5014.70i | 0.190918 | + | 0.460917i | 0.990133 | − | 0.140128i | \(-0.0447513\pi\) |
−0.799215 | + | 0.601045i | \(0.794751\pi\) | |||||||
\(492\) | −3560.64 | + | 3128.40i | −0.326272 | + | 0.286665i | ||||
\(493\) | 4802.00 | + | 2202.23i | 0.438684 | + | 0.201184i | ||||
\(494\) | − | 773.353i | − | 0.0704348i | ||||||
\(495\) | 12124.6 | − | 3272.72i | 1.10093 | − | 0.297168i | ||||
\(496\) | 143.464 | + | 214.709i | 0.0129874 | + | 0.0194369i | ||||
\(497\) | −11115.4 | − | 11115.4i | −1.00321 | − | 1.00321i | ||||
\(498\) | 2563.46 | + | 4430.61i | 0.230665 | + | 0.398676i | ||||
\(499\) | −11202.1 | + | 16765.1i | −1.00496 | + | 1.50403i | −0.147775 | + | 0.989021i | \(0.547211\pi\) |
−0.857185 | + | 0.515008i | \(0.827789\pi\) | |||||||
\(500\) | −6641.14 | + | 1321.00i | −0.594001 | + | 0.118154i | ||||
\(501\) | 2098.66 | + | 6163.79i | 0.187148 | + | 0.549656i | ||||
\(502\) | 1114.58 | − | 2690.83i | 0.0990958 | − | 0.239238i | ||||
\(503\) | −3403.28 | − | 17109.4i | −0.301679 | − | 1.51664i | −0.772843 | − | 0.634597i | \(-0.781166\pi\) |
0.471164 | − | 0.882046i | \(-0.343834\pi\) | |||||||
\(504\) | 16208.8 | + | 14162.0i | 1.43253 | + | 1.25164i | ||||
\(505\) | 2604.86 | + | 518.139i | 0.229534 | + | 0.0456572i | ||||
\(506\) | 6173.40 | − | 6173.40i | 0.542374 | − | 0.542374i | ||||
\(507\) | −2294.40 | + | 8594.45i | −0.200982 | + | 0.752846i | ||||
\(508\) | −2268.74 | + | 939.742i | −0.198148 | + | 0.0820754i | ||||
\(509\) | 13618.5 | 1.18591 | 0.592957 | − | 0.805234i | \(-0.297960\pi\) | ||||
0.592957 | + | 0.805234i | \(0.297960\pi\) | |||||||
\(510\) | 2119.17 | − | 6895.40i | 0.183997 | − | 0.598693i | ||||
\(511\) | 14267.6 | 1.23515 | ||||||||
\(512\) | −1469.30 | + | 608.605i | −0.126826 | + | 0.0525328i | ||||
\(513\) | −1116.54 | + | 2716.76i | −0.0960941 | + | 0.233817i | ||||
\(514\) | 1608.13 | − | 1608.13i | 0.137999 | − | 0.137999i | ||||
\(515\) | −10972.1 | − | 2182.48i | −0.938810 | − | 0.186741i | ||||
\(516\) | −666.781 | − | 5028.92i | −0.0568865 | − | 0.429042i | ||||
\(517\) | 2057.87 | + | 10345.6i | 0.175058 | + | 0.880076i | ||||
\(518\) | 3664.79 | − | 8847.58i | 0.310852 | − | 0.750464i | ||||
\(519\) | −6245.36 | + | 2126.43i | −0.528210 | + | 0.179846i | ||||
\(520\) | 5641.93 | − | 1122.25i | 0.475798 | − | 0.0946422i | ||||
\(521\) | 6071.25 | − | 9086.27i | 0.510530 | − | 0.764063i | −0.483243 | − | 0.875486i | \(-0.660541\pi\) |
0.993773 | + | 0.111424i | \(0.0355411\pi\) | |||||||
\(522\) | −1091.13 | + | 3233.93i | −0.0914896 | + | 0.271160i | ||||
\(523\) | −1875.45 | − | 1875.45i | −0.156803 | − | 0.156803i | 0.624346 | − | 0.781148i | \(-0.285366\pi\) |
−0.781148 | + | 0.624346i | \(0.785366\pi\) | |||||||
\(524\) | −997.636 | − | 1493.07i | −0.0831716 | − | 0.124475i | ||||
\(525\) | −1195.51 | + | 2429.89i | −0.0993835 | + | 0.201999i | ||||
\(526\) | − | 1585.35i | − | 0.131416i | ||||||
\(527\) | 1430.68 | + | 3854.52i | 0.118257 | + | 0.318606i | ||||
\(528\) | −594.679 | − | 676.843i | −0.0490153 | − | 0.0557875i | ||||
\(529\) | 2028.21 | + | 4896.53i | 0.166698 | + | 0.402444i | ||||
\(530\) | 8044.59 | − | 5375.23i | 0.659311 | − | 0.440538i | ||||
\(531\) | 675.924 | − | 520.635i | 0.0552403 | − | 0.0425492i | ||||
\(532\) | 763.637 | − | 3839.06i | 0.0622328 | − | 0.312866i | ||||
\(533\) | −3220.32 | − | 2151.75i | −0.261702 | − | 0.174864i | ||||
\(534\) | 2786.14 | + | 2133.81i | 0.225783 | + | 0.172919i | ||||
\(535\) | 14104.3 | + | 5842.19i | 1.13978 | + | 0.472112i | ||||
\(536\) | 3469.61 | + | 1437.16i | 0.279598 | + | 0.115813i | ||||
\(537\) | 6205.33 | + | 4752.45i | 0.498659 | + | 0.381905i | ||||
\(538\) | −11995.2 | − | 8014.96i | −0.961248 | − | 0.642286i | ||||
\(539\) | 7347.22 | − | 36936.9i | 0.587137 | − | 2.95174i | ||||
\(540\) | −8433.40 | − | 1653.30i | −0.672066 | − | 0.131753i | ||||
\(541\) | −10013.2 | + | 6690.61i | −0.795751 | + | 0.531704i | −0.885709 | − | 0.464242i | \(-0.846327\pi\) |
0.0899572 | + | 0.995946i | \(0.471327\pi\) | |||||||
\(542\) | −811.519 | − | 1959.18i | −0.0643132 | − | 0.155266i | ||||
\(543\) | 14113.1 | + | 16063.0i | 1.11538 | + | 1.26948i | ||||
\(544\) | −12756.4 | + | 2046.32i | −1.00538 | + | 0.161278i | ||||
\(545\) | 6924.44i | 0.544239i | ||||||||
\(546\) | −3054.16 | + | 6207.62i | −0.239388 | + | 0.486560i | ||||
\(547\) | −3401.37 | − | 5090.50i | −0.265872 | − | 0.397905i | 0.674380 | − | 0.738384i | \(-0.264411\pi\) |
−0.940252 | + | 0.340479i | \(0.889411\pi\) | |||||||
\(548\) | 5059.28 | + | 5059.28i | 0.394382 | + | 0.394382i | ||||
\(549\) | 23914.5 | + | 8068.78i | 1.85910 | + | 0.627262i | ||||
\(550\) | −530.657 | + | 794.184i | −0.0411405 | + | 0.0615711i | ||||
\(551\) | 1547.64 | − | 307.844i | 0.119658 | − | 0.0238014i | ||||
\(552\) | −14378.1 | + | 4895.46i | −1.10864 | + | 0.377473i | ||||
\(553\) | −3717.04 | + | 8973.74i | −0.285831 | + | 0.690058i | ||||
\(554\) | 2381.75 | + | 11973.9i | 0.182655 | + | 0.918268i | ||||
\(555\) | 1277.69 | + | 9636.46i | 0.0977209 | + | 0.737018i | ||||
\(556\) | 5441.60 | + | 1082.40i | 0.415063 | + | 0.0825612i | ||||
\(557\) | −15073.7 | + | 15073.7i | −1.14667 | + | 1.14667i | −0.159465 | + | 0.987204i | \(0.550977\pi\) |
−0.987204 | + | 0.159465i | \(0.949023\pi\) | |||||||
\(558\) | −2380.14 | + | 1179.21i | −0.180572 | + | 0.0894622i | ||||
\(559\) | 3829.77 | − | 1586.34i | 0.289771 | − | 0.120027i | ||||
\(560\) | 1873.86 | 0.141402 | ||||||||
\(561\) | −6716.13 | − | 12675.9i | −0.505446 | − | 0.953969i | ||||
\(562\) | −11980.4 | −0.899220 | ||||||||
\(563\) | −16208.6 | + | 6713.81i | −1.21334 | + | 0.502581i | −0.895286 | − | 0.445492i | \(-0.853029\pi\) |
−0.318052 | + | 0.948073i | \(0.603029\pi\) | |||||||
\(564\) | 1861.81 | − | 6974.06i | 0.139001 | − | 0.520675i | ||||
\(565\) | 7687.56 | − | 7687.56i | 0.572421 | − | 0.572421i | ||||
\(566\) | 9916.74 | + | 1972.56i | 0.736452 | + | 0.146489i | ||||
\(567\) | 19691.5 | − | 17397.7i | 1.45849 | − | 1.28860i | ||||
\(568\) | 1881.79 | + | 9460.39i | 0.139011 | + | 0.698854i | ||||
\(569\) | −74.4574 | + | 179.756i | −0.00548580 | + | 0.0132439i | −0.926599 | − | 0.376052i | \(-0.877282\pi\) |
0.921113 | + | 0.389296i | \(0.127282\pi\) | |||||||
\(570\) | −694.474 | − | 2039.68i | −0.0510321 | − | 0.149882i | ||||
\(571\) | −1971.97 | + | 392.249i | −0.144526 | + | 0.0287480i | −0.266823 | − | 0.963746i | \(-0.585974\pi\) |
0.122297 | + | 0.992494i | \(0.460974\pi\) | |||||||
\(572\) | 2499.86 | − | 3741.30i | 0.182735 | − | 0.273482i | ||||
\(573\) | −2741.00 | − | 4737.47i | −0.199838 | − | 0.345394i | ||||
\(574\) | 7517.04 | + | 7517.04i | 0.546612 | + | 0.546612i | ||||
\(575\) | −1061.68 | − | 1588.91i | −0.0769999 | − | 0.115239i | ||||
\(576\) | −1927.33 | − | 7140.27i | −0.139419 | − | 0.516513i | ||||
\(577\) | 4860.33i | 0.350672i | 0.984509 | + | 0.175336i | \(0.0561012\pi\) | ||||
−0.984509 | + | 0.175336i | \(0.943899\pi\) | |||||||
\(578\) | −8217.07 | − | 613.966i | −0.591324 | − | 0.0441827i | ||||
\(579\) | 8479.29 | − | 7449.96i | 0.608613 | − | 0.534732i | ||||
\(580\) | 1766.79 | + | 4265.41i | 0.126486 | + | 0.305364i | ||||
\(581\) | −17602.8 | + | 11761.8i | −1.25695 | + | 0.839869i | ||||
\(582\) | 4059.48 | + | 262.318i | 0.289125 | + | 0.0186829i | ||||
\(583\) | 3753.55 | − | 18870.4i | 0.266649 | − | 1.34053i | ||||
\(584\) | −7279.36 | − | 4863.91i | −0.515791 | − | 0.344641i | ||||
\(585\) | −472.197 | − | 7006.58i | −0.0333726 | − | 0.495191i | ||||
\(586\) | 2893.07 | + | 1198.35i | 0.203945 | + | 0.0844767i | ||||
\(587\) | −22940.0 | − | 9502.04i | −1.61300 | − | 0.668128i | −0.619827 | − | 0.784739i | \(-0.712797\pi\) |
−0.993178 | + | 0.116610i | \(0.962797\pi\) | |||||||
\(588\) | −15669.9 | + | 20460.4i | −1.09900 | + | 1.43498i | ||||
\(589\) | 1021.09 | + | 682.273i | 0.0714320 | + | 0.0477293i | ||||
\(590\) | −122.101 | + | 613.845i | −0.00852006 | + | 0.0428332i | ||||
\(591\) | 1299.05 | − | 20103.3i | 0.0904158 | − | 1.39922i | ||||
\(592\) | 579.860 | − | 387.450i | 0.0402569 | − | 0.0268988i | ||||
\(593\) | −7912.63 | − | 19102.8i | −0.547948 | − | 1.32286i | −0.919002 | − | 0.394252i | \(-0.871004\pi\) |
0.371055 | − | 0.928611i | \(-0.378996\pi\) | |||||||
\(594\) | 7691.63 | − | 5170.18i | 0.531299 | − | 0.357130i | ||||
\(595\) | 29024.7 | + | 6907.45i | 1.99982 | + | 0.475929i | ||||
\(596\) | 14182.7i | 0.974744i | ||||||||
\(597\) | 5468.50 | + | 2690.51i | 0.374893 | + | 0.184448i | ||||
\(598\) | −2712.25 | − | 4059.17i | −0.185472 | − | 0.277578i | ||||
\(599\) | 13322.3 | + | 13322.3i | 0.908741 | + | 0.908741i | 0.996171 | − | 0.0874297i | \(-0.0278653\pi\) |
−0.0874297 | + | 0.996171i | \(0.527865\pi\) | |||||||
\(600\) | 1438.31 | − | 832.177i | 0.0978648 | − | 0.0566225i | ||||
\(601\) | 11881.5 | − | 17781.9i | 0.806416 | − | 1.20689i | −0.168803 | − | 0.985650i | \(-0.553990\pi\) |
0.975220 | − | 0.221238i | \(-0.0710097\pi\) | |||||||
\(602\) | −11159.4 | + | 2219.74i | −0.755520 | + | 0.150282i | ||||
\(603\) | 2284.99 | − | 3974.60i | 0.154315 | − | 0.268422i | ||||
\(604\) | 4889.85 | − | 11805.1i | 0.329413 | − | 0.795273i | ||||
\(605\) | 507.601 | + | 2551.88i | 0.0341106 | + | 0.171486i | ||||
\(606\) | 1942.96 | − | 257.616i | 0.130243 | − | 0.0172689i | ||||
\(607\) | −27304.1 | − | 5431.12i | −1.82577 | − | 0.363167i | −0.841555 | − | 0.540171i | \(-0.818359\pi\) |
−0.984210 | + | 0.177004i | \(0.943359\pi\) | |||||||
\(608\) | −2728.68 | + | 2728.68i | −0.182011 | + | 0.182011i | ||||
\(609\) | −13638.4 | − | 3640.95i | −0.907484 | − | 0.242264i | ||||
\(610\) | −17105.1 | + | 7085.18i | −1.13536 | + | 0.470280i | ||||
\(611\) | 5898.39 | 0.390545 | ||||||||
\(612\) | 294.470 | + | 9812.15i | 0.0194498 | + | 0.648092i | ||||
\(613\) | 14136.0 | 0.931398 | 0.465699 | − | 0.884943i | \(-0.345803\pi\) | ||||
0.465699 | + | 0.884943i | \(0.345803\pi\) | |||||||
\(614\) | −10935.2 | + | 4529.51i | −0.718745 | + | 0.297714i | ||||
\(615\) | −10425.7 | − | 2783.27i | −0.683586 | − | 0.182492i | ||||
\(616\) | −22202.3 | + | 22202.3i | −1.45220 | + | 1.45220i | ||||
\(617\) | 8847.64 | + | 1759.91i | 0.577298 | + | 0.114832i | 0.475099 | − | 0.879932i | \(-0.342412\pi\) |
0.102199 | + | 0.994764i | \(0.467412\pi\) | |||||||
\(618\) | −8184.04 | + | 1085.12i | −0.532703 | + | 0.0706308i | ||||
\(619\) | 1974.71 | + | 9927.51i | 0.128223 | + | 0.644621i | 0.990425 | + | 0.138055i | \(0.0440852\pi\) |
−0.862201 | + | 0.506566i | \(0.830915\pi\) | |||||||
\(620\) | −1375.02 | + | 3319.59i | −0.0890680 | + | 0.215029i | ||||
\(621\) | 3667.57 | + | 18175.6i | 0.236996 | + | 1.17449i | ||||
\(622\) | 12293.5 | − | 2445.33i | 0.792482 | − | 0.157635i | ||||
\(623\) | −8063.82 | + | 12068.4i | −0.518572 | + | 0.776097i | ||||
\(624\) | −436.078 | + | 252.306i | −0.0279761 | + | 0.0161864i | ||||
\(625\) | −12178.7 | − | 12178.7i | −0.779439 | − | 0.779439i | ||||
\(626\) | −3717.35 | − | 5563.41i | −0.237340 | − | 0.355205i | ||||
\(627\) | −3844.65 | − | 1891.57i | −0.244881 | − | 0.120482i | ||||
\(628\) | − | 9452.76i | − | 0.600647i | ||||||
\(629\) | 10409.8 | − | 3863.82i | 0.659883 | − | 0.244929i | ||||
\(630\) | −2480.72 | + | 19114.9i | −0.156880 | + | 1.20882i | ||||
\(631\) | 4262.26 | + | 10290.0i | 0.268903 | + | 0.649190i | 0.999432 | − | 0.0336920i | \(-0.0107265\pi\) |
−0.730529 | + | 0.682882i | \(0.760727\pi\) | |||||||
\(632\) | 4955.63 | − | 3311.25i | 0.311906 | − | 0.208409i | ||||
\(633\) | 103.430 | − | 1600.62i | 0.00649441 | − | 0.100504i | ||||
\(634\) | 2616.07 | − | 13151.8i | 0.163876 | − | 0.823859i | ||||
\(635\) | −4648.54 | − | 3106.06i | −0.290507 | − | 0.194110i | ||||
\(636\) | −8005.43 | + | 10452.8i | −0.499113 | + | 0.651699i | ||||
\(637\) | −19456.0 | − | 8058.95i | −1.21017 | − | 0.501267i | ||||
\(638\) | −4599.86 | − | 1905.33i | −0.285439 | − | 0.118233i | ||||
\(639\) | 11748.6 | − | 791.780i | 0.727337 | − | 0.0490177i | ||||
\(640\) | −9967.81 | − | 6660.28i | −0.615644 | − | 0.411360i | ||||
\(641\) | −1881.18 | + | 9457.32i | −0.115916 | + | 0.582748i | 0.878547 | + | 0.477656i | \(0.158514\pi\) |
−0.994463 | + | 0.105092i | \(0.966486\pi\) | |||||||
\(642\) | 11242.7 | + | 726.485i | 0.691140 | + | 0.0446606i | ||||
\(643\) | 18070.1 | − | 12074.0i | 1.10827 | − | 0.740519i | 0.139927 | − | 0.990162i | \(-0.455313\pi\) |
0.968338 | + | 0.249643i | \(0.0803132\pi\) | |||||||
\(644\) | −9455.92 | − | 22828.6i | −0.578596 | − | 1.39685i | ||||
\(645\) | 8676.29 | − | 7623.05i | 0.529657 | − | 0.465360i | ||||
\(646\) | −2095.97 | + | 1290.13i | −0.127655 | + | 0.0785751i | ||||
\(647\) | − | 11597.9i | − | 0.704731i | −0.935862 | − | 0.352365i | \(-0.885377\pi\) | ||
0.935862 | − | 0.352365i | \(-0.114623\pi\) | |||||||
\(648\) | −15977.5 | + | 2163.39i | −0.968607 | + | 0.131151i | ||||
\(649\) | 691.469 | + | 1034.86i | 0.0418221 | + | 0.0625911i | ||||
\(650\) | 377.669 | + | 377.669i | 0.0227898 | + | 0.0227898i | ||||
\(651\) | −5501.75 | − | 9509.08i | −0.331230 | − | 0.572489i | ||||
\(652\) | −594.837 | + | 890.236i | −0.0357295 | + | 0.0534729i | ||||
\(653\) | 23604.0 | − | 4695.13i | 1.41454 | − | 0.281370i | 0.572112 | − | 0.820176i | \(-0.306124\pi\) |
0.842430 | + | 0.538806i | \(0.181124\pi\) | |||||||
\(654\) | 1647.01 | + | 4837.31i | 0.0984761 | + | 0.289226i | ||||
\(655\) | 1564.49 | − | 3777.02i | 0.0933281 | − | 0.225314i | ||||
\(656\) | 151.031 | + | 759.283i | 0.00898897 | + | 0.0451906i | ||||
\(657\) | −7032.05 | + | 8048.38i | −0.417575 | + | 0.477925i | ||||
\(658\) | −15878.8 | − | 3158.48i | −0.940758 | − | 0.187128i | ||||
\(659\) | 3836.23 | − | 3836.23i | 0.226765 | − | 0.226765i | −0.584575 | − | 0.811340i | \(-0.698739\pi\) |
0.811340 | + | 0.584575i | \(0.198739\pi\) | |||||||
\(660\) | 3233.55 | − | 12112.4i | 0.190706 | − | 0.714355i | ||||
\(661\) | −13827.2 | + | 5727.41i | −0.813639 | + | 0.337020i | −0.750405 | − | 0.660978i | \(-0.770142\pi\) |
−0.0632343 | + | 0.997999i | \(0.520142\pi\) | |||||||
\(662\) | −11521.8 | −0.676447 | ||||||||
\(663\) | −7684.58 | + | 2300.54i | −0.450142 | + | 0.134760i | ||||
\(664\) | 12990.7 | 0.759240 | ||||||||
\(665\) | 8233.18 | − | 3410.30i | 0.480104 | − | 0.198866i | ||||
\(666\) | 3184.66 | + | 6427.99i | 0.185290 | + | 0.373993i | ||||
\(667\) | 7043.57 | − | 7043.57i | 0.408888 | − | 0.408888i | ||||
\(668\) | 6375.00 | + | 1268.07i | 0.369246 | + | 0.0734475i | ||||
\(669\) | 2514.59 | + | 18965.2i | 0.145321 | + | 1.09602i | ||||
\(670\) | 656.110 | + | 3298.49i | 0.0378325 | + | 0.190197i | ||||
\(671\) | −14089.6 | + | 34015.4i | −0.810617 | + | 1.95700i | ||||
\(672\) | 32679.1 | − | 11126.6i | 1.87593 | − | 0.638718i | ||||
\(673\) | −20286.7 | + | 4035.28i | −1.16195 | + | 0.231127i | −0.738156 | − | 0.674630i | \(-0.764303\pi\) |
−0.423798 | + | 0.905757i | \(0.639303\pi\) | |||||||
\(674\) | 10712.8 | − | 16032.9i | 0.612230 | − | 0.916267i | ||||
\(675\) | −781.475 | − | 1872.00i | −0.0445614 | − | 0.106746i | ||||
\(676\) | 6279.04 | + | 6279.04i | 0.357251 | + | 0.357251i | ||||
\(677\) | −12519.7 | − | 18737.1i | −0.710742 | − | 1.06370i | −0.994493 | − | 0.104803i | \(-0.966579\pi\) |
0.283751 | − | 0.958898i | \(-0.408421\pi\) | |||||||
\(678\) | 3541.89 | − | 7198.94i | 0.200627 | − | 0.407778i | ||||
\(679\) | 16824.7i | 0.950917i | ||||||||
\(680\) | −12453.6 | − | 13418.8i | −0.702315 | − | 0.756749i | ||||
\(681\) | −2354.69 | − | 2680.02i | −0.132499 | − | 0.150806i | ||||
\(682\) | −1482.84 | − | 3579.89i | −0.0832564 | − | 0.200999i | ||||
\(683\) | 22517.5 | − | 15045.7i | 1.26151 | − | 0.842912i | 0.268768 | − | 0.963205i | \(-0.413383\pi\) |
0.992738 | + | 0.120293i | \(0.0383834\pi\) | |||||||
\(684\) | 1789.24 | + | 2322.92i | 0.100020 | + | 0.129852i | ||||
\(685\) | −3177.90 | + | 15976.4i | −0.177257 | + | 0.891133i | ||||
\(686\) | 30820.6 | + | 20593.6i | 1.71536 | + | 1.14616i | ||||
\(687\) | −11514.6 | − | 8818.64i | −0.639462 | − | 0.489741i | ||||
\(688\) | −765.509 | − | 317.084i | −0.0424197 | − | 0.0175708i | ||||
\(689\) | −9939.70 | − | 4117.16i | −0.549597 | − | 0.227651i | ||||
\(690\) | −10798.6 | − | 8270.26i | −0.595790 | − | 0.456295i | ||||
\(691\) | 12536.5 | + | 8376.65i | 0.690177 | + | 0.461162i | 0.850549 | − | 0.525895i | \(-0.176270\pi\) |
−0.160372 | + | 0.987057i | \(0.551270\pi\) | |||||||
\(692\) | −1284.85 | + | 6459.37i | −0.0705818 | + | 0.354838i | ||||
\(693\) | 23390.3 | + | 30366.9i | 1.28214 | + | 1.66456i | ||||
\(694\) | −16243.3 | + | 10853.4i | −0.888455 | + | 0.593646i | ||||
\(695\) | 4833.85 | + | 11670.0i | 0.263825 | + | 0.636930i | ||||
\(696\) | 5717.12 | + | 6507.03i | 0.311361 | + | 0.354380i | ||||
\(697\) | −459.529 | + | 12317.4i | −0.0249726 | + | 0.669378i | ||||
\(698\) | 2127.86i | 0.115388i | ||||||||
\(699\) | −5197.55 | + | 10564.1i | −0.281244 | + | 0.571633i | ||||
\(700\) | 1501.89 | + | 2247.74i | 0.0810946 | + | 0.121367i | ||||
\(701\) | 11163.1 | + | 11163.1i | 0.601459 | + | 0.601459i | 0.940700 | − | 0.339241i | \(-0.110170\pi\) |
−0.339241 | + | 0.940700i | \(0.610170\pi\) | |||||||
\(702\) | −1996.42 | − | 4782.38i | −0.107336 | − | 0.257122i | ||||
\(703\) | 1842.60 | − | 2757.65i | 0.0988549 | − | 0.147947i | ||||
\(704\) | 10581.5 | − | 2104.79i | 0.566485 | − | 0.112681i | ||||
\(705\) | 15556.7 | − | 5296.78i | 0.831064 | − | 0.282962i | ||||
\(706\) | 6949.91 | − | 16778.6i | 0.370486 | − | 0.894434i | ||||
\(707\) | 1581.45 | + | 7950.49i | 0.0841253 | + | 0.422927i | ||||
\(708\) | −111.947 | − | 844.310i | −0.00594239 | − | 0.0448180i | ||||
\(709\) | 18419.2 | + | 3663.81i | 0.975666 | + | 0.194072i | 0.657079 | − | 0.753821i | \(-0.271792\pi\) |
0.318587 | + | 0.947894i | \(0.396792\pi\) | |||||||
\(710\) | −6107.95 | + | 6107.95i | −0.322855 | + | 0.322855i | ||||
\(711\) | −3230.08 | − | 6519.65i | −0.170376 | − | 0.343890i | ||||
\(712\) | 8228.33 | − | 3408.29i | 0.433103 | − | 0.179397i | ||||
\(713\) | 7752.34 | 0.407191 | ||||||||
\(714\) | 21919.2 | − | 2078.23i | 1.14889 | − | 0.108930i | ||||
\(715\) | 10244.2 | 0.535820 | ||||||||
\(716\) | 7208.54 | − | 2985.88i | 0.376251 | − | 0.155848i | ||||
\(717\) | 6280.97 | − | 23527.5i | 0.327151 | − | 1.22546i | ||||
\(718\) | 10221.9 | − | 10221.9i | 0.531308 | − | 0.531308i | ||||
\(719\) | −14447.7 | − | 2873.82i | −0.749385 | − | 0.149062i | −0.194400 | − | 0.980922i | \(-0.562276\pi\) |
−0.554985 | + | 0.831860i | \(0.687276\pi\) | |||||||
\(720\) | −923.564 | + | 1057.04i | −0.0478045 | + | 0.0547135i | ||||
\(721\) | −6661.31 | − | 33488.7i | −0.344078 | − | 1.72980i | ||||
\(722\) | 4120.97 | − | 9948.91i | 0.212419 | − | 0.512826i | ||||
\(723\) | −1853.75 | − | 5444.50i | −0.0953552 | − | 0.280060i | ||||
\(724\) | 20934.7 | − | 4164.18i | 1.07463 | − | 0.213757i | ||||
\(725\) | −605.456 | + | 906.128i | −0.0310152 | + | 0.0464176i | ||||
\(726\) | 961.582 | + | 1661.97i | 0.0491566 | + | 0.0849609i | ||||
\(727\) | 8356.62 | + | 8356.62i | 0.426314 | + | 0.426314i | 0.887371 | − | 0.461057i | \(-0.152530\pi\) |
−0.461057 | + | 0.887371i | \(0.652530\pi\) | |||||||
\(728\) | 9754.45 | + | 14598.6i | 0.496599 | + | 0.743213i | ||||
\(729\) | 108.757 | + | 19682.7i | 0.00552541 | + | 0.999985i | ||||
\(730\) | − | 7840.10i | − | 0.397500i | ||||||
\(731\) | −10688.3 | − | 7733.22i | −0.540795 | − | 0.391277i | ||||
\(732\) | 18927.2 | − | 16629.6i | 0.955697 | − | 0.839682i | ||||
\(733\) | 1482.44 | + | 3578.92i | 0.0747000 | + | 0.180342i | 0.956819 | − | 0.290686i | \(-0.0938833\pi\) |
−0.882119 | + | 0.471027i | \(0.843883\pi\) | |||||||
\(734\) | 12058.7 | − | 8057.37i | 0.606396 | − | 0.405181i | ||||
\(735\) | −58551.3 | − | 3783.50i | −2.93836 | − | 0.189873i | ||||
\(736\) | −4752.44 | + | 23892.2i | −0.238013 | + | 1.19657i | ||||
\(737\) | 5560.78 | + | 3715.60i | 0.277930 | + | 0.185707i | ||||
\(738\) | −7945.26 | + | 535.459i | −0.396300 | + | 0.0267080i | ||||
\(739\) | 2326.16 | + | 963.527i | 0.115791 | + | 0.0479620i | 0.439827 | − | 0.898083i | \(-0.355040\pi\) |
−0.324036 | + | 0.946045i | \(0.605040\pi\) | |||||||
\(740\) | 8965.15 | + | 3713.49i | 0.445359 | + | 0.184474i | ||||
\(741\) | −1456.82 | + | 1902.19i | −0.0722235 | + | 0.0943032i | ||||
\(742\) | 24553.5 | + | 16406.1i | 1.21481 | + | 0.811709i | ||||
\(743\) | 7355.39 | − | 36978.1i | 0.363181 | − | 1.82583i | −0.176912 | − | 0.984227i | \(-0.556611\pi\) |
0.540093 | − | 0.841605i | \(-0.318389\pi\) | |||||||
\(744\) | −434.697 | + | 6727.11i | −0.0214204 | + | 0.331489i | ||||
\(745\) | −26847.7 | + | 17939.1i | −1.32030 | + | 0.882197i | ||||
\(746\) | 4674.90 | + | 11286.2i | 0.229438 | + | 0.553911i | ||||
\(747\) | 2041.01 | − | 15726.8i | 0.0999688 | − | 0.770299i | ||||
\(748\) | −14310.2 | − | 533.872i | −0.699508 | − | 0.0260967i | ||||
\(749\) | 46595.7i | 2.27312i | ||||||||
\(750\) | −10207.9 | − | 5022.28i | −0.496985 | − | 0.244517i | ||||
\(751\) | −21537.0 | − | 32232.4i | −1.04647 | − | 1.56615i | −0.802762 | − | 0.596300i | \(-0.796637\pi\) |
−0.243706 | − | 0.969849i | \(-0.578363\pi\) | |||||||
\(752\) | −833.673 | − | 833.673i | −0.0404268 | − | 0.0404268i | ||||
\(753\) | −7810.40 | + | 4518.93i | −0.377990 | + | 0.218697i | ||||
\(754\) | −1546.75 | + | 2314.87i | −0.0747073 | + | 0.111807i | ||||
\(755\) | 28531.9 | − | 5675.36i | 1.37534 | − | 0.273573i | ||||
\(756\) | −5188.31 | − | 25711.9i | −0.249599 | − | 1.23695i | ||||
\(757\) | 3152.94 | − | 7611.86i | 0.151381 | − | 0.365466i | −0.829937 | − | 0.557856i | \(-0.811624\pi\) |
0.981318 | + | 0.192390i | \(0.0616240\pi\) | |||||||
\(758\) | 1195.88 | + | 6012.08i | 0.0573037 | + | 0.288085i | ||||
\(759\) | −26813.8 | + | 3555.22i | −1.28232 | + | 0.170022i | ||||
\(760\) | −5363.16 | − | 1066.80i | −0.255977 | − | 0.0509169i | ||||
\(761\) | −10462.2 | + | 10462.2i | −0.498364 | + | 0.498364i | −0.910928 | − | 0.412564i | \(-0.864633\pi\) |
0.412564 | + | 0.910928i | \(0.364633\pi\) | |||||||
\(762\) | −3986.19 | − | 1064.16i | −0.189507 | − | 0.0505913i | ||||
\(763\) | −19525.8 | + | 8087.86i | −0.926451 | + | 0.383749i | ||||
\(764\) | −5463.71 | −0.258731 | ||||||||
\(765\) | −18201.8 | + | 12968.4i | −0.860245 | + | 0.612904i | ||||
\(766\) | −5612.23 | −0.264724 | ||||||||
\(767\) | 642.984 | − | 266.333i | 0.0302696 | − | 0.0125381i | ||||
\(768\) | −19548.9 | − | 5218.81i | −0.918502 | − | 0.245205i | ||||
\(769\) | 5409.05 | − | 5409.05i | 0.253648 | − | 0.253648i | −0.568816 | − | 0.822465i | \(-0.692598\pi\) |
0.822465 | + | 0.568816i | \(0.192598\pi\) | |||||||
\(770\) | −27577.9 | − | 5485.59i | −1.29070 | − | 0.256736i | ||||
\(771\) | −6984.82 | + | 926.113i | −0.326267 | + | 0.0432596i | ||||
\(772\) | −2198.17 | − | 11050.9i | −0.102479 | − | 0.515197i | ||||
\(773\) | −1148.41 | + | 2772.51i | −0.0534354 | + | 0.129004i | −0.948343 | − | 0.317247i | \(-0.897241\pi\) |
0.894907 | + | 0.446252i | \(0.147241\pi\) | |||||||
\(774\) | 4247.95 | − | 7389.06i | 0.197273 | − | 0.343145i | ||||
\(775\) | −831.844 | + | 165.464i | −0.0385558 | + | 0.00766922i | ||||
\(776\) | 5735.62 | − | 8583.96i | 0.265331 | − | 0.397096i | ||||
\(777\) | −25680.9 | + | 14858.5i | −1.18571 | + | 0.686028i | ||||
\(778\) | 3936.44 | + | 3936.44i | 0.181399 | + | 0.181399i | ||||
\(779\) | 2045.43 | + | 3061.20i | 0.0940758 | + | 0.140794i | ||||
\(780\) | −6290.11 | − | 3094.74i | −0.288746 | − | 0.142064i | ||||
\(781\) | 17177.4i | 0.787013i | ||||||||
\(782\) | −6476.68 | + | 14122.5i | −0.296171 | + | 0.645804i | ||||
\(783\) | 8775.80 | − | 5898.94i | 0.400539 | − | 0.269235i | ||||
\(784\) | 1610.85 | + | 3888.94i | 0.0733807 | + | 0.177157i | ||||
\(785\) | 17894.0 | − | 11956.4i | 0.813583 | − | 0.543619i | ||||
\(786\) | 194.547 | − | 3010.70i | 0.00882859 | − | 0.136626i | ||||
\(787\) | −5409.11 | + | 27193.4i | −0.244999 | + | 1.23169i | 0.640831 | + | 0.767682i | \(0.278590\pi\) |
−0.885830 | + | 0.464010i | \(0.846410\pi\) | |||||||
\(788\) | −16720.9 | − | 11172.5i | −0.755910 | − | 0.505083i | ||||
\(789\) | −2986.44 | + | 3899.44i | −0.134753 | + | 0.175949i | ||||
\(790\) | 4931.09 | + | 2042.52i | 0.222076 | + | 0.0919870i | ||||
\(791\) | 30656.9 | + | 12698.5i | 1.37805 | + | 0.570805i | ||||
\(792\) | −1581.53 | − | 23467.1i | −0.0709559 | − | 1.05286i | ||||
\(793\) | 17118.2 | + | 11438.0i | 0.766563 | + | 0.512201i | ||||
\(794\) | −733.162 | + | 3685.85i | −0.0327695 | + | 0.164743i | ||||
\(795\) | −29912.7 | − | 1932.92i | −1.33446 | − | 0.0862309i | ||||
\(796\) | 5058.57 | − | 3380.03i | 0.225246 | − | 0.150505i | ||||
\(797\) | −9664.87 | − | 23333.1i | −0.429545 | − | 1.03701i | −0.979432 | − | 0.201774i | \(-0.935329\pi\) |
0.549887 | − | 0.835239i | \(-0.314671\pi\) | |||||||
\(798\) | 4940.42 | − | 4340.69i | 0.219159 | − | 0.192555i | ||||
\(799\) | −9839.87 | − | 15986.1i | −0.435681 | − | 0.707818i | ||||
\(800\) | − | 2665.12i | − | 0.117783i | ||||||
\(801\) | −2833.37 | − | 10496.9i | −0.124984 | − | 0.463033i | ||||
\(802\) | 3526.83 | + | 5278.27i | 0.155282 | + | 0.232397i | ||||
\(803\) | −11024.4 | − | 11024.4i | −0.484487 | − | 0.484487i | ||||
\(804\) | −2291.95 | − | 3961.34i | −0.100536 | − | 0.173763i | ||||
\(805\) | 31253.9 | − | 46774.8i | 1.36839 | − | 2.04794i | ||||
\(806\) | −2125.10 | + | 422.709i | −0.0928704 | + | 0.0184731i | ||||
\(807\) | 14405.9 | + | 42310.4i | 0.628392 | + | 1.84560i | ||||
\(808\) | 1903.51 | − | 4595.47i | 0.0828776 | − | 0.200084i | ||||
\(809\) | −2913.14 | − | 14645.3i | −0.126601 | − | 0.636468i | −0.991022 | − | 0.133699i | \(-0.957314\pi\) |
0.864421 | − | 0.502769i | \(-0.167686\pi\) | |||||||
\(810\) | −9560.07 | − | 10820.5i | −0.414700 | − | 0.469375i | ||||
\(811\) | −2857.90 | − | 568.472i | −0.123742 | − | 0.0246137i | 0.132831 | − | 0.991139i | \(-0.457593\pi\) |
−0.256573 | + | 0.966525i | \(0.582593\pi\) | |||||||
\(812\) | −9964.13 | + | 9964.13i | −0.430631 | + | 0.430631i | ||||
\(813\) | −1694.58 | + | 6347.64i | −0.0731016 | + | 0.273827i | ||||
\(814\) | −9668.13 | + | 4004.67i | −0.416299 | + | 0.172437i | ||||
\(815\) | −2437.59 | −0.104767 | ||||||||
\(816\) | 1411.29 | + | 760.975i | 0.0605453 | + | 0.0326464i | ||||
\(817\) | −3940.49 | −0.168740 | ||||||||
\(818\) | 17938.4 | − | 7430.32i | 0.766749 | − | 0.317598i | ||||
\(819\) | 19205.9 | − | 9515.33i | 0.819425 | − | 0.405974i | ||||
\(820\) | −7616.94 | + | 7616.94i | −0.324384 | + | 0.324384i | ||||
\(821\) | −20481.3 | − | 4073.99i | −0.870649 | − | 0.173183i | −0.260504 | − | 0.965473i | \(-0.583889\pi\) |
−0.610145 | + | 0.792290i | \(0.708889\pi\) | |||||||
\(822\) | 1580.04 | + | 11916.8i | 0.0670439 | + | 0.505650i | ||||
\(823\) | −2500.90 | − | 12572.9i | −0.105924 | − | 0.532518i | −0.996914 | − | 0.0784953i | \(-0.974988\pi\) |
0.890990 | − | 0.454023i | \(-0.150012\pi\) | |||||||
\(824\) | −8017.86 | + | 19356.8i | −0.338975 | + | 0.818358i | ||||
\(825\) | 2801.30 | − | 953.791i | 0.118217 | − | 0.0402506i | ||||
\(826\) | −1873.56 | + | 372.675i | −0.0789221 | + | 0.0156986i | ||||
\(827\) | −12051.3 | + | 18036.0i | −0.506727 | + | 0.758371i | −0.993337 | − | 0.115249i | \(-0.963233\pi\) |
0.486610 | + | 0.873620i | \(0.338233\pi\) | |||||||
\(828\) | 17538.1 | + | 5917.39i | 0.736102 | + | 0.248362i | ||||
\(829\) | −18300.6 | − | 18300.6i | −0.766712 | − | 0.766712i | 0.210814 | − | 0.977526i | \(-0.432389\pi\) |
−0.977526 | + | 0.210814i | \(0.932389\pi\) | |||||||
\(830\) | 6463.16 | + | 9672.81i | 0.270289 | + | 0.404516i | ||||
\(831\) | 16697.7 | − | 33938.4i | 0.697036 | − | 1.41674i | ||||
\(832\) | − | 6032.89i | − | 0.251386i | ||||||
\(833\) | 10615.4 | + | 66174.7i | 0.441539 | + | 2.75248i | ||||
\(834\) | 6152.62 | + | 7002.70i | 0.255453 | + | 0.290748i | ||||
\(835\) | 5663.00 | + | 13671.7i | 0.234702 | + | 0.566621i | ||||
\(836\) | −3556.44 | + | 2376.34i | −0.147132 | + | 0.0983103i | ||||
\(837\) | 8075.70 | + | 1583.18i | 0.333497 | + | 0.0653794i | ||||
\(838\) | −1868.04 | + | 9391.26i | −0.0770051 | + | 0.387131i | ||||
\(839\) | 19848.1 | + | 13262.1i | 0.816724 | + | 0.545718i | 0.892311 | − | 0.451422i | \(-0.149083\pi\) |
−0.0755867 | + | 0.997139i | \(0.524083\pi\) | |||||||
\(840\) | 38836.5 | + | 29743.5i | 1.59522 | + | 1.22172i | ||||
\(841\) | 17284.3 | + | 7159.38i | 0.708691 | + | 0.293549i | ||||
\(842\) | 3287.20 | + | 1361.60i | 0.134542 | + | 0.0557292i | ||||
\(843\) | 29467.7 | + | 22568.3i | 1.20394 | + | 0.922056i | ||||
\(844\) | −1331.31 | − | 889.553i | −0.0542957 | − | 0.0362792i | ||||
\(845\) | −3944.07 | + | 19828.2i | −0.160568 | + | 0.807231i | ||||
\(846\) | 9607.83 | − | 7400.50i | 0.390454 | − | 0.300750i | ||||
\(847\) | −6603.02 | + | 4412.00i | −0.267866 | + | 0.178982i | ||||
\(848\) | 822.953 | + | 1986.78i | 0.0333258 | + | 0.0804557i | ||||
\(849\) | −20676.0 | − | 23532.7i | −0.835805 | − | 0.951284i | ||||
\(850\) | 393.536 | − | 1653.61i | 0.0158802 | − | 0.0667276i | ||||
\(851\) | − | 20936.6i | − | 0.843356i | ||||||
\(852\) | 5189.26 | − | 10547.3i | 0.208663 | − | 0.424111i | ||||
\(853\) | −4620.51 | − | 6915.08i | −0.185467 | − | 0.277571i | 0.727072 | − | 0.686562i | \(-0.240881\pi\) |
−0.912538 | + | 0.408991i | \(0.865881\pi\) | |||||||
\(854\) | −39958.2 | − | 39958.2i | −1.60110 | − | 1.60110i | ||||
\(855\) | −2134.12 | + | 6325.16i | −0.0853630 | + | 0.253001i | ||||
\(856\) | 15884.7 | − | 23773.1i | 0.634262 | − | 0.949240i | ||||
\(857\) | −36240.9 | + | 7208.76i | −1.44453 | + | 0.287335i | −0.854250 | − | 0.519862i | \(-0.825983\pi\) |
−0.590282 | + | 0.807197i | \(0.700983\pi\) | |||||||
\(858\) | 7156.44 | − | 2436.64i | 0.284752 | − | 0.0969527i | ||||
\(859\) | −5715.81 | + | 13799.2i | −0.227032 | + | 0.548105i | −0.995814 | − | 0.0914072i | \(-0.970864\pi\) |
0.768781 | + | 0.639512i | \(0.220864\pi\) | |||||||
\(860\) | −2249.24 | − | 11307.7i | −0.0891843 | − | 0.448360i | ||||
\(861\) | −4329.02 | − | 32649.8i | −0.171350 | − | 1.29234i | ||||
\(862\) | 15377.0 | + | 3058.68i | 0.607592 | + | 0.120857i | ||||
\(863\) | 15788.0 | − | 15788.0i | 0.622747 | − | 0.622747i | −0.323486 | − | 0.946233i | \(-0.604855\pi\) |
0.946233 | + | 0.323486i | \(0.104855\pi\) | |||||||
\(864\) | −9829.92 | + | 23918.2i | −0.387061 | + | 0.941798i | ||||
\(865\) | −13852.6 | + | 5737.95i | −0.544513 | + | 0.225545i | ||||
\(866\) | −17962.8 | −0.704852 | ||||||||
\(867\) | 19054.7 | + | 16989.2i | 0.746402 | + | 0.665495i | ||||
\(868\) | −10966.8 | −0.428844 | ||||||||
\(869\) | 9805.99 | − | 4061.77i | 0.382791 | − | 0.158557i | ||||
\(870\) | −2000.71 | + | 7494.36i | −0.0779661 | + | 0.292049i | ||||
\(871\) | 2644.39 | − | 2644.39i | 0.102872 | − | 0.102872i | ||||
\(872\) | 12719.3 | + | 2530.02i | 0.493955 | + | 0.0982538i | ||||
\(873\) | −9490.81 | − | 8292.34i | −0.367944 | − | 0.321481i | ||||
\(874\) | 905.356 | + | 4551.53i | 0.0350391 | + | 0.176153i | ||||
\(875\) | 18006.1 | − | 43470.5i | 0.695676 | − | 1.67951i | ||||
\(876\) | 3438.74 | + | 10099.6i | 0.132630 | + | 0.389537i | ||||
\(877\) | −25009.0 | + | 4974.61i | −0.962937 | + | 0.191540i | −0.651434 | − | 0.758705i | \(-0.725832\pi\) |
−0.311503 | + | 0.950245i | \(0.600832\pi\) | |||||||
\(878\) | −5233.08 | + | 7831.86i | −0.201148 | + | 0.301039i | ||||
\(879\) | −4858.57 | − | 8397.42i | −0.186434 | − | 0.322228i | ||||
\(880\) | −1447.91 | − | 1447.91i | −0.0554647 | − | 0.0554647i | ||||
\(881\) | −25626.0 | − | 38352.0i | −0.979979 | − | 1.46664i | −0.881885 | − | 0.471464i | \(-0.843726\pi\) |
−0.0980934 | − | 0.995177i | \(-0.531274\pi\) | |||||||
\(882\) | −41803.0 | + | 11283.6i | −1.59590 | + | 0.430771i | ||||
\(883\) | − | 29736.3i | − | 1.13330i | −0.823958 | − | 0.566652i | \(-0.808239\pi\) | ||
0.823958 | − | 0.566652i | \(-0.191761\pi\) | |||||||
\(884\) | −1853.90 | + | 7789.97i | −0.0705355 | + | 0.296386i | ||||
\(885\) | 1456.67 | − | 1279.84i | 0.0553282 | − | 0.0486118i | ||||
\(886\) | 6182.92 | + | 14926.9i | 0.234446 | + | 0.566003i | ||||
\(887\) | 3708.83 | − | 2478.16i | 0.140395 | − | 0.0938089i | −0.483389 | − | 0.875406i | \(-0.660594\pi\) |
0.623784 | + | 0.781597i | \(0.285594\pi\) | |||||||
\(888\) | 18167.8 | + | 1173.98i | 0.686565 | + | 0.0443649i | ||||
\(889\) | 3329.01 | − | 16736.1i | 0.125592 | − | 0.631395i | ||||
\(890\) | 6631.59 | + | 4431.09i | 0.249766 | + | 0.166888i | ||||
\(891\) | −28658.3 | − | 1772.37i | −1.07754 | − | 0.0666403i | ||||
\(892\) | 17644.0 | + | 7308.40i | 0.662294 | + | 0.274331i | ||||
\(893\) | −5180.14 | − | 2145.68i | −0.194117 | − | 0.0804061i | ||||
\(894\) | −14488.5 | + | 18917.9i | −0.542023 | + | 0.707727i | ||||
\(895\) | 14770.0 | + | 9868.98i | 0.551627 | + | 0.368585i | ||||
\(896\) | 7138.37 | − | 35887.0i | 0.266156 | − | 1.33806i | ||||
\(897\) | −975.319 | + | 15093.5i | −0.0363043 | + | 0.561824i | ||||
\(898\) | 2435.39 | − | 1627.27i | 0.0905010 | − | 0.0604708i | ||||
\(899\) | −1691.85 | − | 4084.49i | −0.0627658 | − | 0.151530i | ||||
\(900\) | −2008.18 | − | 260.621i | −0.0743772 | − | 0.00965261i | ||||
\(901\) | 5423.20 | + | 33807.4i | 0.200525 | + | 1.25004i | ||||
\(902\) | − | 11616.6i | − | 0.428815i | ||||||
\(903\) | 31629.9 | + | 15561.9i | 1.16564 | + | 0.573498i | ||||
\(904\) | −11312.2 | − | 16929.9i | −0.416192 | − | 0.622875i | ||||
\(905\) | 34362.1 | + | 34362.1i | 1.26214 | + | 1.26214i | ||||
\(906\) | 18582.1 | − | 10751.2i | 0.681400 | − | 0.394244i | ||||
\(907\) | −18428.8 | + | 27580.7i | −0.674662 | + | 1.00970i | 0.323325 | + | 0.946288i | \(0.395199\pi\) |
−0.997987 | + | 0.0634150i | \(0.979801\pi\) | |||||||
\(908\) | −3492.84 | + | 694.769i | −0.127658 | + | 0.0253929i | ||||
\(909\) | −5264.32 | − | 3026.44i | −0.192086 | − | 0.110430i | ||||
\(910\) | −6016.98 | + | 14526.3i | −0.219188 | + | 0.529166i | ||||
\(911\) | 2316.78 | + | 11647.2i | 0.0842572 | + | 0.423590i | 0.999773 | + | 0.0213075i | \(0.00678289\pi\) |
−0.915516 | + | 0.402282i | \(0.868217\pi\) | |||||||
\(912\) | 474.760 | − | 62.9481i | 0.0172378 | − | 0.00228555i | ||||
\(913\) | 22689.7 | + | 4513.26i | 0.822475 | + | 0.163600i | ||||
\(914\) | 11750.6 | − | 11750.6i | 0.425247 | − | 0.425247i | ||||
\(915\) | 55419.7 | + | 14795.0i | 2.00232 | + | 0.534543i | ||||
\(916\) | −13376.2 | + | 5540.60i | −0.482491 | + | 0.199854i | ||||
\(917\) | 12478.0 | 0.449356 | ||||||||
\(918\) | −9630.92 | + | 13388.9i | −0.346261 | + | 0.481372i | ||||
\(919\) | −29890.2 | −1.07289 | −0.536445 | − | 0.843935i | \(-0.680233\pi\) | ||||
−0.536445 | + | 0.843935i | \(0.680233\pi\) | |||||||
\(920\) | −31891.5 | + | 13209.9i | −1.14286 | + | 0.473389i | ||||
\(921\) | 35429.5 | + | 9458.35i | 1.26758 | + | 0.338397i | ||||
\(922\) | 3007.06 | − | 3007.06i | 0.107410 | − | 0.107410i | ||||
\(923\) | 9420.72 | + | 1873.90i | 0.335955 | + | 0.0668257i | ||||
\(924\) | 37931.9 | − | 5029.37i | 1.35051 | − | 0.179063i | ||||
\(925\) | 446.865 | + | 2246.54i | 0.0158841 | + | 0.0798550i | ||||
\(926\) | 187.814 | − | 453.424i | 0.00666519 | − | 0.0160912i | ||||
\(927\) | 22174.1 | + | 12747.8i | 0.785645 | + | 0.451665i | ||||
\(928\) | 13625.3 | − | 2710.24i | 0.481974 | − | 0.0958706i | ||||
\(929\) | 18423.8 | − | 27573.1i | 0.650662 | − | 0.973784i | −0.348671 | − | 0.937245i | \(-0.613367\pi\) |
0.999332 | − | 0.0365387i | \(-0.0116332\pi\) | |||||||
\(930\) | −5225.26 | + | 3023.22i | −0.184240 | + | 0.106597i | ||||
\(931\) | 14155.2 | + | 14155.2i | 0.498301 | + | 0.498301i | ||||
\(932\) | 6529.57 | + | 9772.19i | 0.229488 | + | 0.343454i | ||||
\(933\) | −34844.3 | − | 17143.4i | −1.22267 | − | 0.601555i | ||||
\(934\) | − | 2349.81i | − | 0.0823213i | ||||||
\(935\) | −17089.7 | − | 27764.3i | −0.597745 | − | 0.971110i | ||||
\(936\) | −13042.7 | − | 1692.67i | −0.455464 | − | 0.0591097i | ||||
\(937\) | −4699.97 | − | 11346.7i | −0.163865 | − | 0.395605i | 0.820524 | − | 0.571612i | \(-0.193682\pi\) |
−0.984389 | + | 0.176007i | \(0.943682\pi\) | |||||||
\(938\) | −8534.87 | + | 5702.82i | −0.297093 | + | 0.198511i | ||||
\(939\) | −1336.75 | + | 20686.7i | −0.0464571 | + | 0.718942i | ||||
\(940\) | 3200.46 | − | 16089.8i | 0.111050 | − | 0.558288i | ||||
\(941\) | 17455.3 | + | 11663.3i | 0.604705 | + | 0.404051i | 0.819889 | − | 0.572523i | \(-0.194035\pi\) |
−0.215184 | + | 0.976574i | \(0.569035\pi\) | |||||||
\(942\) | 9656.57 | − | 12608.7i | 0.334000 | − | 0.436108i | ||||
\(943\) | 21472.1 | + | 8894.01i | 0.741491 | + | 0.307136i | ||||
\(944\) | −128.522 | − | 53.2356i | −0.00443118 | − | 0.00183546i | ||||
\(945\) | 42109.9 | − | 42343.2i | 1.44956 | − | 1.45759i | ||||
\(946\) | 10337.9 | + | 6907.55i | 0.355300 | + | 0.237404i | ||||
\(947\) | 2409.27 | − | 12112.2i | 0.0826725 | − | 0.415623i | −0.917180 | − | 0.398472i | \(-0.869541\pi\) |
0.999853 | − | 0.0171505i | \(-0.00545944\pi\) | |||||||
\(948\) | −7248.10 | − | 468.363i | −0.248320 | − | 0.0160461i | ||||
\(949\) | −7248.84 | + | 4843.52i | −0.247953 | + | 0.165677i | ||||
\(950\) | −194.294 | − | 469.067i | −0.00663550 | − | 0.0160195i | ||||
\(951\) | −31209.7 | + | 27421.1i | −1.06419 | + | 0.935004i | ||||
\(952\) | 23293.0 | − | 50790.7i | 0.792994 | − | 1.72913i | ||||
\(953\) | − | 12117.6i | − | 0.411885i | −0.978564 | − | 0.205943i | \(-0.933974\pi\) | ||
0.978564 | − | 0.205943i | \(-0.0660260\pi\) | |||||||
\(954\) | −21356.3 | + | 5764.59i | −0.724776 | + | 0.195635i | ||||
\(955\) | −6910.79 | − | 10342.7i | −0.234165 | − | 0.350453i | ||||
\(956\) | −17189.0 | − | 17189.0i | −0.581520 | − | 0.581520i | ||||
\(957\) | 7724.92 | + | 13351.6i | 0.260931 | + | 0.450987i | ||||
\(958\) | −11632.7 | + | 17409.6i | −0.392313 | + | 0.587137i | ||||
\(959\) | −48762.8 | + | 9699.51i | −1.64195 | + | 0.326604i | ||||
\(960\) | −5417.56 | − | 15911.5i | −0.182136 | − | 0.534937i | ||||
\(961\) | −10083.8 | + | 24344.5i | −0.338485 | + | 0.817176i | ||||
\(962\) | 1141.60 | + | 5739.22i | 0.0382606 | + | 0.192349i | ||||
\(963\) | −26284.6 | − | 22965.5i | −0.879554 | − | 0.768487i | ||||
\(964\) | −5631.07 | − | 1120.09i | −0.188137 | − | 0.0374229i | ||||
\(965\) | 18138.9 | − | 18138.9i | 0.605091 | − | 0.605091i | ||||
\(966\) | 10707.9 | − | 40110.1i | 0.356647 | − | 1.33594i | ||||
\(967\) | 35390.4 | − | 14659.2i | 1.17692 | − | 0.487495i | 0.293443 | − | 0.955977i | \(-0.405199\pi\) |
0.883473 | + | 0.468482i | \(0.155199\pi\) | |||||||
\(968\) | 4872.94 | 0.161800 | ||||||||
\(969\) | 7585.70 | + | 775.048i | 0.251484 | + | 0.0256947i | ||||
\(970\) | 9245.21 | 0.306027 | ||||||||
\(971\) | −38230.0 | + | 15835.4i | −1.26350 | + | 0.523359i | −0.910982 | − | 0.412445i | \(-0.864675\pi\) |
−0.352519 | + | 0.935805i | \(0.614675\pi\) | |||||||
\(972\) | 17061.2 | + | 9745.85i | 0.563004 | + | 0.321603i | ||||
\(973\) | −27261.4 | + | 27261.4i | −0.898213 | + | 0.898213i | ||||
\(974\) | −21950.9 | − | 4366.31i | −0.722128 | − | 0.143640i | ||||
\(975\) | −217.497 | − | 1640.38i | −0.00714409 | − | 0.0538813i | ||||
\(976\) | −802.832 | − | 4036.11i | −0.0263299 | − | 0.132370i | ||||
\(977\) | −4274.91 | + | 10320.6i | −0.139986 | + | 0.337957i | −0.978288 | − | 0.207250i | \(-0.933549\pi\) |
0.838302 | + | 0.545206i | \(0.183549\pi\) | |||||||
\(978\) | −1702.86 | + | 579.793i | −0.0556764 | + | 0.0189568i | ||||
\(979\) | 15555.9 | − | 3094.25i | 0.507832 | − | 0.101014i | ||||
\(980\) | −32540.2 | + | 48699.9i | −1.06067 | + | 1.58741i | ||||
\(981\) | 5061.28 | − | 15000.8i | 0.164724 | − | 0.488213i | ||||
\(982\) | 6437.16 | + | 6437.16i | 0.209183 | + | 0.209183i | ||||
\(983\) | 1257.67 | + | 1882.24i | 0.0408072 | + | 0.0610722i | 0.851312 | − | 0.524659i | \(-0.175807\pi\) |
−0.810505 | + | 0.585732i | \(0.800807\pi\) | |||||||
\(984\) | −8921.81 | + | 18133.7i | −0.289041 | + | 0.587481i | ||||
\(985\) | − | 45784.1i | − | 1.48102i | ||||||
\(986\) | 8854.21 | + | 330.325i | 0.285979 | + | 0.0106691i | ||||
\(987\) | 33106.6 | + | 37680.8i | 1.06767 | + | 1.21519i | ||||
\(988\) | 915.294 | + | 2209.72i | 0.0294731 | + | 0.0711543i | ||||
\(989\) | −20682.8 | + | 13819.8i | −0.664990 | + | 0.444332i | ||||
\(990\) | 16686.7 | − | 12853.0i | 0.535694 | − | 0.412622i | ||||
\(991\) | 5192.58 | − | 26104.9i | 0.166446 | − | 0.836779i | −0.803845 | − | 0.594838i | \(-0.797216\pi\) |
0.970291 | − | 0.241941i | \(-0.0777839\pi\) | |||||||
\(992\) | 8989.65 | + | 6006.69i | 0.287723 | + | 0.192251i | ||||
\(993\) | 28339.8 | + | 21704.4i | 0.905676 | + | 0.693625i | ||||
\(994\) | −24357.6 | − | 10089.3i | −0.777241 | − | 0.321944i | ||||
\(995\) | 12796.7 | + | 5300.56i | 0.407721 | + | 0.168884i | ||||
\(996\) | −12568.4 | − | 9625.71i | −0.399845 | − | 0.306227i | ||||
\(997\) | −22517.0 | − | 15045.3i | −0.715265 | − | 0.477925i | 0.143920 | − | 0.989589i | \(-0.454029\pi\) |
−0.859185 | + | 0.511665i | \(0.829029\pi\) | |||||||
\(998\) | −6597.44 | + | 33167.6i | −0.209257 | + | 1.05201i | ||||
\(999\) | 4275.65 | − | 21809.9i | 0.135411 | − | 0.690724i |
(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 | 51.4.i.a.5.11 | yes | 128 | |
3.2 | odd | 2 | inner | 51.4.i.a.5.6 | ✓ | 128 | |
17.7 | odd | 16 | inner | 51.4.i.a.41.6 | yes | 128 | |
51.41 | even | 16 | inner | 51.4.i.a.41.11 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
51.4.i.a.5.6 | ✓ | 128 | 3.2 | odd | 2 | inner | |
51.4.i.a.5.11 | yes | 128 | 1.1 | even | 1 | trivial | |
51.4.i.a.41.6 | yes | 128 | 17.7 | odd | 16 | inner | |
51.4.i.a.41.11 | yes | 128 | 51.41 | even | 16 | inner |