Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,3,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.790192766645\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 3.4 | ||
Character | \(\chi\) | \(=\) | 29.3 |
Dual form | 29.3.f.a.10.4 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{28}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.05804 | + | 1.29315i | 1.02902 | + | 0.646575i | 0.937053 | − | 0.349188i | \(-0.113542\pi\) |
0.0919649 | + | 0.995762i | \(0.470685\pi\) | |||||||
\(3\) | −2.93183 | + | 1.02589i | −0.977275 | + | 0.341963i | −0.771214 | − | 0.636576i | \(-0.780350\pi\) |
−0.206061 | + | 0.978539i | \(0.566065\pi\) | |||||||
\(4\) | 0.827740 | + | 1.71882i | 0.206935 | + | 0.429705i | ||||
\(5\) | 5.87720 | − | 1.34143i | 1.17544 | − | 0.268286i | 0.410177 | − | 0.912006i | \(-0.365467\pi\) |
0.765262 | + | 0.643719i | \(0.222610\pi\) | |||||||
\(6\) | −7.36043 | − | 1.67997i | −1.22674 | − | 0.279995i | ||||
\(7\) | −9.36468 | − | 4.50979i | −1.33781 | − | 0.644256i | −0.378237 | − | 0.925709i | \(-0.623470\pi\) |
−0.959575 | + | 0.281452i | \(0.909184\pi\) | |||||||
\(8\) | 0.569384 | − | 5.05343i | 0.0711730 | − | 0.631678i | ||||
\(9\) | 0.506667 | − | 0.404053i | 0.0562963 | − | 0.0448948i | ||||
\(10\) | 13.8301 | + | 4.83938i | 1.38301 | + | 0.483938i | ||||
\(11\) | 0.977326 | + | 8.67401i | 0.0888478 | + | 0.788546i | 0.956571 | + | 0.291499i | \(0.0941540\pi\) |
−0.867723 | + | 0.497048i | \(0.834417\pi\) | |||||||
\(12\) | −4.19011 | − | 4.19011i | −0.349176 | − | 0.349176i | ||||
\(13\) | 8.98997 | + | 7.16926i | 0.691536 | + | 0.551482i | 0.904970 | − | 0.425476i | \(-0.139893\pi\) |
−0.213433 | + | 0.976958i | \(0.568465\pi\) | |||||||
\(14\) | −13.4410 | − | 21.3913i | −0.960073 | − | 1.52795i | ||||
\(15\) | −15.8548 | + | 9.96220i | −1.05698 | + | 0.664147i | ||||
\(16\) | 12.4645 | − | 15.6300i | 0.779031 | − | 0.976873i | ||||
\(17\) | −9.77422 | + | 9.77422i | −0.574954 | + | 0.574954i | −0.933509 | − | 0.358554i | \(-0.883270\pi\) |
0.358554 | + | 0.933509i | \(0.383270\pi\) | |||||||
\(18\) | 1.56524 | − | 0.176360i | 0.0869578 | − | 0.00979779i | ||||
\(19\) | −4.49203 | + | 12.8375i | −0.236423 | + | 0.675658i | 0.763144 | + | 0.646228i | \(0.223655\pi\) |
−0.999567 | + | 0.0294292i | \(0.990631\pi\) | |||||||
\(20\) | 7.17047 | + | 8.99148i | 0.358523 | + | 0.449574i | ||||
\(21\) | 32.0822 | + | 3.61479i | 1.52772 | + | 0.172133i | ||||
\(22\) | −9.20542 | + | 19.1153i | −0.418428 | + | 0.868875i | ||||
\(23\) | 6.44949 | − | 28.2571i | 0.280413 | − | 1.22857i | −0.616853 | − | 0.787078i | \(-0.711593\pi\) |
0.897266 | − | 0.441490i | \(-0.145550\pi\) | |||||||
\(24\) | 3.51492 | + | 15.3999i | 0.146455 | + | 0.641662i | ||||
\(25\) | 10.2178 | − | 4.92062i | 0.408711 | − | 0.196825i | ||||
\(26\) | 9.23075 | + | 26.3800i | 0.355029 | + | 1.01461i | ||||
\(27\) | 13.8021 | − | 21.9659i | 0.511189 | − | 0.813553i | ||||
\(28\) | − | 19.8291i | − | 0.708184i | ||||||
\(29\) | −28.9618 | − | 1.48885i | −0.998681 | − | 0.0513395i | ||||
\(30\) | −45.5123 | −1.51708 | ||||||||
\(31\) | 32.8240 | + | 20.6247i | 1.05884 | + | 0.665313i | 0.944628 | − | 0.328144i | \(-0.106423\pi\) |
0.114212 | + | 0.993456i | \(0.463566\pi\) | |||||||
\(32\) | 26.6642 | − | 9.33019i | 0.833255 | − | 0.291568i | ||||
\(33\) | −11.7639 | − | 24.4281i | −0.356483 | − | 0.740244i | ||||
\(34\) | −32.7552 | + | 7.47617i | −0.963389 | + | 0.219887i | ||||
\(35\) | −61.0877 | − | 13.9429i | −1.74536 | − | 0.398367i | ||||
\(36\) | 1.11388 | + | 0.536418i | 0.0309412 | + | 0.0149005i | ||||
\(37\) | 6.61609 | − | 58.7194i | 0.178813 | − | 1.58701i | −0.508768 | − | 0.860904i | \(-0.669899\pi\) |
0.687581 | − | 0.726107i | \(-0.258672\pi\) | |||||||
\(38\) | −25.8456 | + | 20.6112i | −0.680146 | + | 0.542399i | ||||
\(39\) | −33.7119 | − | 11.7963i | −0.864408 | − | 0.302469i | ||||
\(40\) | −3.43244 | − | 30.4638i | −0.0858110 | − | 0.761594i | ||||
\(41\) | 28.8990 | + | 28.8990i | 0.704854 | + | 0.704854i | 0.965448 | − | 0.260594i | \(-0.0839185\pi\) |
−0.260594 | + | 0.965448i | \(0.583919\pi\) | |||||||
\(42\) | 61.3518 | + | 48.9264i | 1.46076 | + | 1.16491i | ||||
\(43\) | 23.3701 | + | 37.1932i | 0.543490 | + | 0.864959i | 0.999689 | − | 0.0249182i | \(-0.00793254\pi\) |
−0.456200 | + | 0.889877i | \(0.650790\pi\) | |||||||
\(44\) | −14.1001 | + | 8.85967i | −0.320457 | + | 0.201356i | ||||
\(45\) | 2.43577 | − | 3.05436i | 0.0541282 | − | 0.0678747i | ||||
\(46\) | 49.8139 | − | 49.8139i | 1.08291 | − | 1.08291i | ||||
\(47\) | −16.5298 | + | 1.86246i | −0.351698 | + | 0.0396269i | −0.286047 | − | 0.958216i | \(-0.592341\pi\) |
−0.0656518 | + | 0.997843i | \(0.520913\pi\) | |||||||
\(48\) | −20.5091 | + | 58.6116i | −0.427272 | + | 1.22107i | ||||
\(49\) | 36.8081 | + | 46.1559i | 0.751185 | + | 0.941956i | ||||
\(50\) | 27.3916 | + | 3.08629i | 0.547832 | + | 0.0617259i | ||||
\(51\) | 18.6290 | − | 38.6836i | 0.365275 | − | 0.758502i | ||||
\(52\) | −4.88131 | + | 21.3864i | −0.0938714 | + | 0.411278i | ||||
\(53\) | −12.8958 | − | 56.5002i | −0.243317 | − | 1.06604i | −0.937975 | − | 0.346702i | \(-0.887302\pi\) |
0.694659 | − | 0.719340i | \(-0.255555\pi\) | |||||||
\(54\) | 56.8105 | − | 27.3585i | 1.05205 | − | 0.506638i | ||||
\(55\) | 17.3795 | + | 49.6678i | 0.315991 | + | 0.903052i | ||||
\(56\) | −28.1220 | + | 44.7559i | −0.502179 | + | 0.799213i | ||||
\(57\) | − | 42.2456i | − | 0.741151i | ||||||
\(58\) | −57.6790 | − | 40.5160i | −0.994466 | − | 0.698551i | ||||
\(59\) | −34.0756 | −0.577552 | −0.288776 | − | 0.957397i | \(-0.593248\pi\) | ||||
−0.288776 | + | 0.957397i | \(0.593248\pi\) | |||||||
\(60\) | −30.2468 | − | 19.0053i | −0.504114 | − | 0.316756i | ||||
\(61\) | 5.90275 | − | 2.06546i | 0.0967664 | − | 0.0338600i | −0.281462 | − | 0.959572i | \(-0.590819\pi\) |
0.378228 | + | 0.925712i | \(0.376534\pi\) | |||||||
\(62\) | 40.8822 | + | 84.8927i | 0.659390 | + | 1.36924i | ||||
\(63\) | −6.56698 | + | 1.49887i | −0.104238 | + | 0.0237916i | ||||
\(64\) | −11.0199 | − | 2.51523i | −0.172186 | − | 0.0393004i | ||||
\(65\) | 62.4529 | + | 30.0757i | 0.960814 | + | 0.462704i | ||||
\(66\) | 7.37854 | − | 65.4863i | 0.111796 | − | 0.992217i | ||||
\(67\) | −53.1751 | + | 42.4058i | −0.793659 | + | 0.632922i | −0.934037 | − | 0.357176i | \(-0.883740\pi\) |
0.140378 | + | 0.990098i | \(0.455168\pi\) | |||||||
\(68\) | −24.8906 | − | 8.70961i | −0.366039 | − | 0.128083i | ||||
\(69\) | 10.0799 | + | 89.4613i | 0.146085 | + | 1.29654i | ||||
\(70\) | −107.690 | − | 107.690i | −1.53843 | − | 1.53843i | ||||
\(71\) | −24.4740 | − | 19.5174i | −0.344704 | − | 0.274893i | 0.435799 | − | 0.900044i | \(-0.356466\pi\) |
−0.780504 | + | 0.625151i | \(0.785037\pi\) | |||||||
\(72\) | −1.75337 | − | 2.79047i | −0.0243523 | − | 0.0387565i | ||||
\(73\) | −43.4053 | + | 27.2734i | −0.594593 | + | 0.373608i | −0.795456 | − | 0.606012i | \(-0.792768\pi\) |
0.200862 | + | 0.979619i | \(0.435626\pi\) | |||||||
\(74\) | 89.5491 | − | 112.291i | 1.21012 | − | 1.51745i | ||||
\(75\) | −24.9087 | + | 24.9087i | −0.332116 | + | 0.332116i | ||||
\(76\) | −25.7836 | + | 2.90511i | −0.339258 | + | 0.0382252i | ||||
\(77\) | 29.9657 | − | 85.6369i | 0.389164 | − | 1.11217i | ||||
\(78\) | −54.1259 | − | 67.8718i | −0.693922 | − | 0.870151i | ||||
\(79\) | 36.9784 | + | 4.16647i | 0.468081 | + | 0.0527401i | 0.342855 | − | 0.939388i | \(-0.388606\pi\) |
0.125226 | + | 0.992128i | \(0.460034\pi\) | |||||||
\(80\) | 52.2897 | − | 108.581i | 0.653621 | − | 1.35726i | ||||
\(81\) | −19.2286 | + | 84.2460i | −0.237390 | + | 1.04007i | ||||
\(82\) | 22.1045 | + | 96.8459i | 0.269566 | + | 1.18105i | ||||
\(83\) | 62.9075 | − | 30.2947i | 0.757922 | − | 0.364996i | −0.0146754 | − | 0.999892i | \(-0.504671\pi\) |
0.772597 | + | 0.634896i | \(0.218957\pi\) | |||||||
\(84\) | 20.3425 | + | 58.1356i | 0.242173 | + | 0.692090i | ||||
\(85\) | −44.3336 | + | 70.5565i | −0.521571 | + | 0.830076i | ||||
\(86\) | 106.766i | 1.24147i | ||||||||
\(87\) | 86.4382 | − | 25.3465i | 0.993543 | − | 0.291340i | ||||
\(88\) | 44.3899 | 0.504431 | ||||||||
\(89\) | 23.7527 | + | 14.9248i | 0.266885 | + | 0.167695i | 0.658826 | − | 0.752296i | \(-0.271053\pi\) |
−0.391941 | + | 0.919990i | \(0.628196\pi\) | |||||||
\(90\) | 8.96265 | − | 3.13617i | 0.0995850 | − | 0.0348463i | ||||
\(91\) | −51.8564 | − | 107.681i | −0.569850 | − | 1.18331i | ||||
\(92\) | 53.9073 | − | 12.3040i | 0.585949 | − | 0.133739i | ||||
\(93\) | −117.393 | − | 26.7942i | −1.26229 | − | 0.288109i | ||||
\(94\) | −36.4274 | − | 17.5425i | −0.387526 | − | 0.186623i | ||||
\(95\) | −9.17994 | + | 81.4742i | −0.0966310 | + | 0.857623i | ||||
\(96\) | −68.6029 | + | 54.7090i | −0.714614 | + | 0.569885i | ||||
\(97\) | −33.9244 | − | 11.8707i | −0.349736 | − | 0.122378i | 0.149693 | − | 0.988732i | \(-0.452171\pi\) |
−0.499430 | + | 0.866354i | \(0.666457\pi\) | |||||||
\(98\) | 16.0659 | + | 142.589i | 0.163938 | + | 1.45499i | ||||
\(99\) | 3.99994 | + | 3.99994i | 0.0404035 | + | 0.0404035i | ||||
\(100\) | 16.9153 | + | 13.4895i | 0.169153 | + | 0.134895i | ||||
\(101\) | −33.1691 | − | 52.7883i | −0.328407 | − | 0.522657i | 0.641184 | − | 0.767387i | \(-0.278443\pi\) |
−0.969591 | + | 0.244730i | \(0.921301\pi\) | |||||||
\(102\) | 88.3629 | − | 55.5221i | 0.866303 | − | 0.544334i | ||||
\(103\) | −73.2496 | + | 91.8521i | −0.711161 | + | 0.891768i | −0.997802 | − | 0.0662704i | \(-0.978890\pi\) |
0.286641 | + | 0.958038i | \(0.407461\pi\) | |||||||
\(104\) | 41.3481 | − | 41.3481i | 0.397578 | − | 0.397578i | ||||
\(105\) | 193.402 | − | 21.7912i | 1.84193 | − | 0.207535i | ||||
\(106\) | 46.5232 | − | 132.956i | 0.438898 | − | 1.25430i | ||||
\(107\) | −42.6207 | − | 53.4447i | −0.398324 | − | 0.499483i | 0.541709 | − | 0.840566i | \(-0.317778\pi\) |
−0.940033 | + | 0.341083i | \(0.889206\pi\) | |||||||
\(108\) | 49.1800 | + | 5.54126i | 0.455371 | + | 0.0513080i | ||||
\(109\) | 5.04985 | − | 10.4861i | 0.0463289 | − | 0.0962029i | −0.876519 | − | 0.481366i | \(-0.840141\pi\) |
0.922848 | + | 0.385163i | \(0.125855\pi\) | |||||||
\(110\) | −28.4603 | + | 124.693i | −0.258730 | + | 1.13357i | ||||
\(111\) | 40.8424 | + | 178.942i | 0.367950 | + | 1.61209i | ||||
\(112\) | −187.214 | + | 90.1575i | −1.67155 | + | 0.804978i | ||||
\(113\) | −14.1909 | − | 40.5554i | −0.125584 | − | 0.358897i | 0.863876 | − | 0.503704i | \(-0.168030\pi\) |
−0.989460 | + | 0.144807i | \(0.953744\pi\) | |||||||
\(114\) | 54.6299 | − | 86.9430i | 0.479210 | − | 0.762658i | ||||
\(115\) | − | 174.724i | − | 1.51934i | ||||||
\(116\) | −21.4137 | − | 51.0124i | −0.184601 | − | 0.439762i | ||||
\(117\) | 7.45169 | 0.0636896 | ||||||||
\(118\) | −70.1287 | − | 44.0648i | −0.594311 | − | 0.373431i | ||||
\(119\) | 135.612 | − | 47.4528i | 1.13960 | − | 0.398763i | ||||
\(120\) | 41.3158 | + | 85.7931i | 0.344298 | + | 0.714943i | ||||
\(121\) | 43.6830 | − | 9.97036i | 0.361016 | − | 0.0823996i | ||||
\(122\) | 14.8190 | + | 3.38234i | 0.121467 | + | 0.0277241i | ||||
\(123\) | −114.374 | − | 55.0796i | −0.929870 | − | 0.447802i | ||||
\(124\) | −8.28039 | + | 73.4905i | −0.0667773 | + | 0.592665i | ||||
\(125\) | −64.3775 | + | 51.3393i | −0.515020 | + | 0.410715i | ||||
\(126\) | −15.4533 | − | 5.40735i | −0.122645 | − | 0.0429155i | ||||
\(127\) | 14.8633 | + | 131.916i | 0.117034 | + | 1.03871i | 0.905710 | + | 0.423897i | \(0.139338\pi\) |
−0.788676 | + | 0.614809i | \(0.789233\pi\) | |||||||
\(128\) | −99.3283 | − | 99.3283i | −0.776002 | − | 0.776002i | ||||
\(129\) | −106.673 | − | 85.0690i | −0.826924 | − | 0.659450i | ||||
\(130\) | 89.6379 | + | 142.658i | 0.689522 | + | 1.09737i | ||||
\(131\) | 66.7432 | − | 41.9375i | 0.509490 | − | 0.320134i | −0.252637 | − | 0.967561i | \(-0.581298\pi\) |
0.762127 | + | 0.647427i | \(0.224155\pi\) | |||||||
\(132\) | 32.2500 | − | 40.4402i | 0.244318 | − | 0.306365i | ||||
\(133\) | 99.9609 | − | 99.9609i | 0.751586 | − | 0.751586i | ||||
\(134\) | −164.273 | + | 18.5092i | −1.22592 | + | 0.138128i | ||||
\(135\) | 51.6519 | − | 147.613i | 0.382607 | − | 1.09343i | ||||
\(136\) | 43.8280 | + | 54.9586i | 0.322265 | + | 0.404107i | ||||
\(137\) | −160.789 | − | 18.1166i | −1.17364 | − | 0.132238i | −0.496465 | − | 0.868057i | \(-0.665369\pi\) |
−0.677179 | + | 0.735819i | \(0.736798\pi\) | |||||||
\(138\) | −94.9421 | + | 197.149i | −0.687986 | + | 1.42862i | ||||
\(139\) | 24.4796 | − | 107.252i | 0.176112 | − | 0.771599i | −0.807289 | − | 0.590156i | \(-0.799066\pi\) |
0.983401 | − | 0.181443i | \(-0.0580767\pi\) | |||||||
\(140\) | −26.5994 | − | 116.540i | −0.189996 | − | 0.832427i | ||||
\(141\) | 46.5519 | − | 22.4182i | 0.330155 | − | 0.158994i | ||||
\(142\) | −25.1295 | − | 71.8160i | −0.176968 | − | 0.505747i | ||||
\(143\) | −53.4001 | + | 84.9858i | −0.373428 | + | 0.594306i | ||||
\(144\) | − | 12.9555i | − | 0.0899688i | ||||||
\(145\) | −172.211 | + | 30.1000i | −1.18766 | + | 0.207586i | ||||
\(146\) | −124.598 | −0.853412 | ||||||||
\(147\) | −155.266 | − | 97.5599i | −1.05623 | − | 0.663673i | ||||
\(148\) | 106.404 | − | 37.2325i | 0.718949 | − | 0.251571i | ||||
\(149\) | 62.5002 | + | 129.783i | 0.419464 | + | 0.871027i | 0.998448 | + | 0.0556878i | \(0.0177351\pi\) |
−0.578984 | + | 0.815339i | \(0.696551\pi\) | |||||||
\(150\) | −83.4736 | + | 19.0523i | −0.556491 | + | 0.127015i | ||||
\(151\) | 279.422 | + | 63.7763i | 1.85048 | + | 0.422359i | 0.995372 | − | 0.0960946i | \(-0.0306351\pi\) |
0.855105 | + | 0.518454i | \(0.173492\pi\) | |||||||
\(152\) | 62.3156 | + | 30.0096i | 0.409971 | + | 0.197432i | ||||
\(153\) | −1.00297 | + | 8.90159i | −0.00655535 | + | 0.0581803i | ||||
\(154\) | 172.412 | − | 137.494i | 1.11956 | − | 0.892817i | ||||
\(155\) | 220.580 | + | 77.1842i | 1.42310 | + | 0.497963i | ||||
\(156\) | −7.62897 | − | 67.7090i | −0.0489037 | − | 0.434032i | ||||
\(157\) | 181.866 | + | 181.866i | 1.15838 | + | 1.15838i | 0.984824 | + | 0.173555i | \(0.0555255\pi\) |
0.173555 | + | 0.984824i | \(0.444474\pi\) | |||||||
\(158\) | 70.7150 | + | 56.3934i | 0.447564 | + | 0.356920i | ||||
\(159\) | 95.7712 | + | 152.419i | 0.602335 | + | 0.958610i | ||||
\(160\) | 144.195 | − | 90.6035i | 0.901216 | − | 0.566272i | ||||
\(161\) | −187.831 | + | 235.533i | −1.16665 | + | 1.46294i | ||||
\(162\) | −148.516 | + | 148.516i | −0.916764 | + | 0.916764i | ||||
\(163\) | 59.4854 | − | 6.70239i | 0.364941 | − | 0.0411190i | 0.0724098 | − | 0.997375i | \(-0.476931\pi\) |
0.292531 | + | 0.956256i | \(0.405502\pi\) | |||||||
\(164\) | −25.7513 | + | 73.5931i | −0.157020 | + | 0.448738i | ||||
\(165\) | −101.907 | − | 127.788i | −0.617621 | − | 0.774472i | ||||
\(166\) | 168.641 | + | 19.0013i | 1.01591 | + | 0.114466i | ||||
\(167\) | 79.8635 | − | 165.838i | 0.478225 | − | 0.993044i | −0.512693 | − | 0.858572i | \(-0.671352\pi\) |
0.990917 | − | 0.134472i | \(-0.0429337\pi\) | |||||||
\(168\) | 36.5342 | − | 160.067i | 0.217465 | − | 0.952778i | ||||
\(169\) | −8.18478 | − | 35.8598i | −0.0484306 | − | 0.212188i | ||||
\(170\) | −182.480 | + | 87.8778i | −1.07341 | + | 0.516928i | ||||
\(171\) | 2.91107 | + | 8.31936i | 0.0170238 | + | 0.0486512i | ||||
\(172\) | −44.5842 | + | 70.9553i | −0.259210 | + | 0.412531i | ||||
\(173\) | 24.3883i | 0.140973i | 0.997513 | + | 0.0704864i | \(0.0224551\pi\) | ||||
−0.997513 | + | 0.0704864i | \(0.977545\pi\) | |||||||
\(174\) | 210.670 | + | 59.6134i | 1.21075 | + | 0.342606i | ||||
\(175\) | −117.877 | −0.673584 | ||||||||
\(176\) | 147.756 | + | 92.8415i | 0.839525 | + | 0.527509i | ||||
\(177\) | 99.9036 | − | 34.9578i | 0.564427 | − | 0.197502i | ||||
\(178\) | 29.5840 | + | 61.4317i | 0.166202 | + | 0.345122i | ||||
\(179\) | −109.960 | + | 25.0977i | −0.614303 | + | 0.140211i | −0.518340 | − | 0.855174i | \(-0.673450\pi\) |
−0.0959623 | + | 0.995385i | \(0.530593\pi\) | |||||||
\(180\) | 7.26608 | + | 1.65844i | 0.0403671 | + | 0.00921353i | ||||
\(181\) | −181.835 | − | 87.5671i | −1.00461 | − | 0.483796i | −0.142111 | − | 0.989851i | \(-0.545389\pi\) |
−0.862501 | + | 0.506055i | \(0.831103\pi\) | |||||||
\(182\) | 32.5252 | − | 288.669i | 0.178710 | − | 1.58609i | ||||
\(183\) | −15.1869 | + | 12.1111i | −0.0829885 | + | 0.0661811i | ||||
\(184\) | −139.123 | − | 48.6812i | −0.756102 | − | 0.264572i | ||||
\(185\) | −39.8840 | − | 353.980i | −0.215589 | − | 1.91341i | ||||
\(186\) | −206.950 | − | 206.950i | −1.11263 | − | 1.11263i | ||||
\(187\) | −94.3343 | − | 75.2291i | −0.504462 | − | 0.402295i | ||||
\(188\) | −16.8836 | − | 26.8702i | −0.0898066 | − | 0.142926i | ||||
\(189\) | −228.314 | + | 143.459i | −1.20801 | + | 0.759044i | ||||
\(190\) | −124.251 | + | 155.806i | −0.653953 | + | 0.820031i | ||||
\(191\) | −9.18326 | + | 9.18326i | −0.0480799 | + | 0.0480799i | −0.730738 | − | 0.682658i | \(-0.760824\pi\) |
0.682658 | + | 0.730738i | \(0.260824\pi\) | |||||||
\(192\) | 34.8889 | − | 3.93103i | 0.181713 | − | 0.0204741i | ||||
\(193\) | −38.7349 | + | 110.698i | −0.200699 | + | 0.573564i | −0.999611 | − | 0.0278831i | \(-0.991123\pi\) |
0.798912 | + | 0.601447i | \(0.205409\pi\) | |||||||
\(194\) | −54.4671 | − | 68.2996i | −0.280758 | − | 0.352060i | ||||
\(195\) | −213.955 | − | 24.1070i | −1.09721 | − | 0.123626i | ||||
\(196\) | −48.8661 | + | 101.471i | −0.249317 | + | 0.517712i | ||||
\(197\) | −42.3417 | + | 185.511i | −0.214932 | + | 0.941681i | 0.746228 | + | 0.665690i | \(0.231863\pi\) |
−0.961160 | + | 0.275990i | \(0.910994\pi\) | |||||||
\(198\) | 3.05950 | + | 13.4045i | 0.0154520 | + | 0.0676997i | ||||
\(199\) | 134.765 | − | 64.8992i | 0.677209 | − | 0.326127i | −0.0634720 | − | 0.997984i | \(-0.520217\pi\) |
0.740681 | + | 0.671857i | \(0.234503\pi\) | |||||||
\(200\) | −19.0481 | − | 54.4364i | −0.0952407 | − | 0.272182i | ||||
\(201\) | 112.397 | − | 178.878i | 0.559187 | − | 0.889941i | ||||
\(202\) | − | 151.533i | − | 0.750163i | ||||||
\(203\) | 264.503 | + | 144.554i | 1.30297 | + | 0.712089i | ||||
\(204\) | 81.9101 | 0.401520 | ||||||||
\(205\) | 208.611 | + | 131.079i | 1.01762 | + | 0.639410i | ||||
\(206\) | −269.529 | + | 94.3122i | −1.30839 | + | 0.457826i | ||||
\(207\) | −8.14963 | − | 16.9229i | −0.0393702 | − | 0.0817530i | ||||
\(208\) | 224.111 | − | 51.1518i | 1.07746 | − | 0.245922i | ||||
\(209\) | −115.743 | − | 26.4175i | −0.553793 | − | 0.126400i | ||||
\(210\) | 426.208 | + | 205.251i | 2.02956 | + | 0.977385i | ||||
\(211\) | −6.26902 | + | 55.6391i | −0.0297110 | + | 0.263692i | 0.970071 | + | 0.242821i | \(0.0780727\pi\) |
−0.999782 | + | 0.0208716i | \(0.993356\pi\) | |||||||
\(212\) | 86.4393 | − | 68.9330i | 0.407732 | − | 0.325156i | ||||
\(213\) | 91.7762 | + | 32.1139i | 0.430874 | + | 0.150769i | ||||
\(214\) | −18.6030 | − | 165.106i | −0.0869298 | − | 0.771523i | ||||
\(215\) | 187.243 | + | 187.243i | 0.870896 | + | 0.870896i | ||||
\(216\) | −103.144 | − | 82.2550i | −0.477521 | − | 0.380810i | ||||
\(217\) | −214.373 | − | 341.173i | −0.987896 | − | 1.57223i | ||||
\(218\) | 23.9529 | − | 15.0506i | 0.109876 | − | 0.0690394i | ||||
\(219\) | 99.2773 | − | 124.490i | 0.453321 | − | 0.568447i | ||||
\(220\) | −70.9843 | + | 70.9843i | −0.322656 | + | 0.322656i | ||||
\(221\) | −157.944 | + | 17.7960i | −0.714679 | + | 0.0805250i | ||||
\(222\) | −147.344 | + | 421.085i | −0.663712 | + | 1.89678i | ||||
\(223\) | 83.8099 | + | 105.094i | 0.375829 | + | 0.471275i | 0.933391 | − | 0.358860i | \(-0.116835\pi\) |
−0.557562 | + | 0.830135i | \(0.688263\pi\) | |||||||
\(224\) | −291.779 | − | 32.8756i | −1.30258 | − | 0.146766i | ||||
\(225\) | 3.18881 | − | 6.62164i | 0.0141725 | − | 0.0294295i | ||||
\(226\) | 23.2387 | − | 101.815i | 0.102826 | − | 0.450511i | ||||
\(227\) | −37.6983 | − | 165.167i | −0.166072 | − | 0.727609i | −0.987542 | − | 0.157357i | \(-0.949703\pi\) |
0.821470 | − | 0.570252i | \(-0.193154\pi\) | |||||||
\(228\) | 72.6126 | − | 34.9684i | 0.318476 | − | 0.153370i | ||||
\(229\) | 51.6406 | + | 147.580i | 0.225505 | + | 0.644456i | 0.999930 | + | 0.0117911i | \(0.00375331\pi\) |
−0.774426 | + | 0.632665i | \(0.781961\pi\) | |||||||
\(230\) | 225.944 | − | 359.588i | 0.982366 | − | 1.56343i | ||||
\(231\) | 281.814i | 1.21997i | ||||||||
\(232\) | −24.0141 | + | 145.508i | −0.103509 | + | 0.627191i | ||||
\(233\) | 296.039 | 1.27055 | 0.635276 | − | 0.772285i | \(-0.280886\pi\) | ||||
0.635276 | + | 0.772285i | \(0.280886\pi\) | |||||||
\(234\) | 15.3358 | + | 9.63615i | 0.0655378 | + | 0.0411801i | ||||
\(235\) | −94.6506 | + | 33.1197i | −0.402769 | + | 0.140935i | ||||
\(236\) | −28.2057 | − | 58.5698i | −0.119516 | − | 0.248177i | ||||
\(237\) | −112.689 | + | 25.7204i | −0.475479 | + | 0.108525i | ||||
\(238\) | 340.458 | + | 77.7074i | 1.43050 | + | 0.326502i | ||||
\(239\) | −231.857 | − | 111.656i | −0.970113 | − | 0.467182i | −0.119420 | − | 0.992844i | \(-0.538103\pi\) |
−0.850693 | + | 0.525662i | \(0.823818\pi\) | |||||||
\(240\) | −41.9124 | + | 371.983i | −0.174635 | + | 1.54993i | ||||
\(241\) | −18.6581 | + | 14.8793i | −0.0774196 | + | 0.0617400i | −0.661435 | − | 0.750003i | \(-0.730052\pi\) |
0.584015 | + | 0.811743i | \(0.301481\pi\) | |||||||
\(242\) | 102.794 | + | 35.9693i | 0.424770 | + | 0.148633i | ||||
\(243\) | −3.91073 | − | 34.7087i | −0.0160935 | − | 0.142834i | ||||
\(244\) | 8.43610 | + | 8.43610i | 0.0345742 | + | 0.0345742i | ||||
\(245\) | 278.243 | + | 221.892i | 1.13569 | + | 0.905680i | ||||
\(246\) | −164.160 | − | 261.259i | −0.667316 | − | 1.06203i | ||||
\(247\) | −132.419 | + | 83.2042i | −0.536108 | + | 0.336859i | ||||
\(248\) | 122.915 | − | 154.130i | 0.495625 | − | 0.621493i | ||||
\(249\) | −153.355 | + | 153.355i | −0.615883 | + | 0.615883i | ||||
\(250\) | −198.881 | + | 22.4085i | −0.795522 | + | 0.0896338i | ||||
\(251\) | 47.2947 | − | 135.160i | 0.188425 | − | 0.538487i | −0.810455 | − | 0.585801i | \(-0.800780\pi\) |
0.998880 | + | 0.0473132i | \(0.0150659\pi\) | |||||||
\(252\) | −8.01203 | − | 10.0468i | −0.0317938 | − | 0.0398681i | ||||
\(253\) | 251.405 | + | 28.3266i | 0.993697 | + | 0.111963i | ||||
\(254\) | −139.997 | + | 290.708i | −0.551171 | + | 1.14452i | ||||
\(255\) | 57.5951 | − | 252.341i | 0.225863 | − | 0.989571i | ||||
\(256\) | −65.9139 | − | 288.788i | −0.257476 | − | 1.12808i | ||||
\(257\) | 78.7944 | − | 37.9454i | 0.306593 | − | 0.147647i | −0.274261 | − | 0.961655i | \(-0.588433\pi\) |
0.580854 | + | 0.814008i | \(0.302719\pi\) | |||||||
\(258\) | −109.530 | − | 313.019i | −0.424536 | − | 1.21325i | ||||
\(259\) | −326.770 | + | 520.051i | −1.26166 | + | 2.00792i | ||||
\(260\) | 132.240i | 0.508616i | ||||||||
\(261\) | −15.2755 | + | 10.9477i | −0.0585270 | + | 0.0419454i | ||||
\(262\) | 191.591 | 0.731265 | ||||||||
\(263\) | −82.7439 | − | 51.9914i | −0.314615 | − | 0.197686i | 0.365462 | − | 0.930826i | \(-0.380911\pi\) |
−0.680077 | + | 0.733140i | \(0.738054\pi\) | |||||||
\(264\) | −130.144 | + | 45.5392i | −0.492968 | + | 0.172497i | ||||
\(265\) | −151.582 | − | 314.764i | −0.572009 | − | 1.18779i | ||||
\(266\) | 334.988 | − | 76.4587i | 1.25935 | − | 0.287439i | ||||
\(267\) | −84.9502 | − | 19.3893i | −0.318165 | − | 0.0726192i | ||||
\(268\) | −116.903 | − | 56.2975i | −0.436205 | − | 0.210065i | ||||
\(269\) | −2.99923 | + | 26.6189i | −0.0111496 | + | 0.0989551i | −0.998054 | − | 0.0623480i | \(-0.980141\pi\) |
0.986905 | + | 0.161303i | \(0.0515697\pi\) | |||||||
\(270\) | 297.187 | − | 236.998i | 1.10069 | − | 0.877772i | ||||
\(271\) | −164.750 | − | 57.6486i | −0.607935 | − | 0.212725i | 0.00871663 | − | 0.999962i | \(-0.497225\pi\) |
−0.616651 | + | 0.787237i | \(0.711511\pi\) | |||||||
\(272\) | 30.9402 | + | 274.602i | 0.113751 | + | 1.00956i | ||||
\(273\) | 262.502 | + | 262.502i | 0.961547 | + | 0.961547i | ||||
\(274\) | −307.482 | − | 245.209i | −1.12220 | − | 0.894924i | ||||
\(275\) | 52.6676 | + | 83.8200i | 0.191518 | + | 0.304800i | ||||
\(276\) | −145.424 | + | 91.3762i | −0.526900 | + | 0.331073i | ||||
\(277\) | 270.444 | − | 339.126i | 0.976331 | − | 1.22428i | 0.00180677 | − | 0.999998i | \(-0.499425\pi\) |
0.974524 | − | 0.224282i | \(-0.0720037\pi\) | |||||||
\(278\) | 189.073 | − | 189.073i | 0.680119 | − | 0.680119i | ||||
\(279\) | 24.9643 | − | 2.81280i | 0.0894779 | − | 0.0100817i | ||||
\(280\) | −105.242 | + | 300.763i | −0.375863 | + | 1.07415i | ||||
\(281\) | 246.662 | + | 309.305i | 0.877802 | + | 1.10073i | 0.994202 | + | 0.107526i | \(0.0342930\pi\) |
−0.116400 | + | 0.993202i | \(0.537136\pi\) | |||||||
\(282\) | 124.796 | + | 14.0611i | 0.442537 | + | 0.0498620i | ||||
\(283\) | 70.0980 | − | 145.560i | 0.247696 | − | 0.514346i | −0.739637 | − | 0.673006i | \(-0.765003\pi\) |
0.987333 | + | 0.158660i | \(0.0507172\pi\) | |||||||
\(284\) | 13.2887 | − | 58.2217i | 0.0467913 | − | 0.205006i | ||||
\(285\) | −56.6696 | − | 248.286i | −0.198841 | − | 0.871178i | ||||
\(286\) | −219.799 | + | 105.849i | −0.768527 | + | 0.370103i | ||||
\(287\) | −140.302 | − | 400.959i | −0.488855 | − | 1.39707i | ||||
\(288\) | 9.73995 | − | 15.5010i | 0.0338193 | − | 0.0538231i | ||||
\(289\) | 97.9291i | 0.338855i | ||||||||
\(290\) | −393.340 | − | 160.748i | −1.35635 | − | 0.554303i | ||||
\(291\) | 111.638 | 0.383637 | ||||||||
\(292\) | −82.8063 | − | 52.0307i | −0.283583 | − | 0.178187i | ||||
\(293\) | −497.689 | + | 174.149i | −1.69860 | + | 0.594365i | −0.993406 | − | 0.114653i | \(-0.963424\pi\) |
−0.705191 | + | 0.709018i | \(0.749139\pi\) | |||||||
\(294\) | −193.383 | − | 401.563i | −0.657765 | − | 1.36586i | ||||
\(295\) | −200.269 | + | 45.7100i | −0.678877 | + | 0.154949i | ||||
\(296\) | −292.967 | − | 66.8678i | −0.989754 | − | 0.225905i | ||||
\(297\) | 204.022 | + | 98.2517i | 0.686942 | + | 0.330814i | ||||
\(298\) | −39.2012 | + | 347.920i | −0.131548 | + | 1.16752i | ||||
\(299\) | 260.563 | − | 207.792i | 0.871449 | − | 0.694957i | ||||
\(300\) | −63.4315 | − | 22.1956i | −0.211438 | − | 0.0739855i | ||||
\(301\) | −51.1194 | − | 453.697i | −0.169832 | − | 1.50730i | ||||
\(302\) | 492.588 | + | 492.588i | 1.63109 | + | 1.63109i | ||||
\(303\) | 151.401 | + | 120.738i | 0.499673 | + | 0.398476i | ||||
\(304\) | 144.659 | + | 230.223i | 0.475851 | + | 0.757313i | ||||
\(305\) | 31.9209 | − | 20.0573i | 0.104659 | − | 0.0657615i | ||||
\(306\) | −13.5752 | + | 17.0228i | −0.0443635 | + | 0.0556300i | ||||
\(307\) | −263.183 | + | 263.183i | −0.857275 | + | 0.857275i | −0.991016 | − | 0.133742i | \(-0.957301\pi\) |
0.133742 | + | 0.991016i | \(0.457301\pi\) | |||||||
\(308\) | 171.998 | − | 19.3795i | 0.558436 | − | 0.0629206i | ||||
\(309\) | 120.525 | − | 344.440i | 0.390048 | − | 1.11469i | ||||
\(310\) | 354.150 | + | 444.091i | 1.14242 | + | 1.43255i | ||||
\(311\) | −286.428 | − | 32.2726i | −0.920989 | − | 0.103771i | −0.361278 | − | 0.932458i | \(-0.617659\pi\) |
−0.559711 | + | 0.828688i | \(0.689088\pi\) | |||||||
\(312\) | −78.8068 | + | 163.644i | −0.252586 | + | 0.524500i | ||||
\(313\) | 41.7918 | − | 183.102i | 0.133520 | − | 0.584990i | −0.863257 | − | 0.504765i | \(-0.831579\pi\) |
0.996777 | − | 0.0802250i | \(-0.0255639\pi\) | |||||||
\(314\) | 139.106 | + | 609.465i | 0.443014 | + | 1.94097i | ||||
\(315\) | −36.5848 | + | 17.6183i | −0.116142 | + | 0.0559311i | ||||
\(316\) | 23.4471 | + | 67.0080i | 0.0741997 | + | 0.212051i | ||||
\(317\) | 299.014 | − | 475.878i | 0.943261 | − | 1.50119i | 0.0797787 | − | 0.996813i | \(-0.474579\pi\) |
0.863482 | − | 0.504379i | \(-0.168279\pi\) | |||||||
\(318\) | 437.530i | 1.37588i | ||||||||
\(319\) | −15.3908 | − | 252.670i | −0.0482471 | − | 0.792068i | ||||
\(320\) | −68.1403 | −0.212938 | ||||||||
\(321\) | 179.785 | + | 112.966i | 0.560077 | + | 0.351920i | ||||
\(322\) | −691.142 | + | 241.841i | −2.14640 | + | 0.751059i | ||||
\(323\) | −81.5704 | − | 169.383i | −0.252540 | − | 0.524405i | ||||
\(324\) | −160.720 | + | 36.6833i | −0.496049 | + | 0.113220i | ||||
\(325\) | 127.135 | + | 29.0176i | 0.391183 | + | 0.0892851i | ||||
\(326\) | 131.090 | + | 63.1297i | 0.402117 | + | 0.193649i | ||||
\(327\) | −4.04767 | + | 35.9241i | −0.0123782 | + | 0.109860i | ||||
\(328\) | 162.494 | − | 129.584i | 0.495407 | − | 0.395074i | ||||
\(329\) | 163.196 | + | 57.1047i | 0.496036 | + | 0.173571i | ||||
\(330\) | −44.4803 | − | 394.774i | −0.134789 | − | 1.19628i | ||||
\(331\) | −301.118 | − | 301.118i | −0.909723 | − | 0.909723i | 0.0865265 | − | 0.996250i | \(-0.472423\pi\) |
−0.996250 | + | 0.0865265i | \(0.972423\pi\) | |||||||
\(332\) | 104.142 | + | 83.0506i | 0.313681 | + | 0.250152i | ||||
\(333\) | −20.3736 | − | 32.4244i | −0.0611821 | − | 0.0973707i | ||||
\(334\) | 378.816 | − | 238.026i | 1.13418 | − | 0.712652i | ||||
\(335\) | −255.636 | + | 320.558i | −0.763093 | + | 0.956889i | ||||
\(336\) | 456.387 | − | 456.387i | 1.35829 | − | 1.35829i | ||||
\(337\) | 354.089 | − | 39.8962i | 1.05071 | − | 0.118386i | 0.430316 | − | 0.902678i | \(-0.358402\pi\) |
0.620392 | + | 0.784292i | \(0.286973\pi\) | |||||||
\(338\) | 29.5276 | − | 84.3850i | 0.0873597 | − | 0.249660i | ||||
\(339\) | 83.2108 | + | 104.343i | 0.245459 | + | 0.307796i | ||||
\(340\) | −157.971 | − | 17.7990i | −0.464619 | − | 0.0523500i | ||||
\(341\) | −146.819 | + | 304.873i | −0.430554 | + | 0.894056i | ||||
\(342\) | −4.76709 | + | 20.8860i | −0.0139389 | + | 0.0610701i | ||||
\(343\) | −23.2111 | − | 101.695i | −0.0676709 | − | 0.296485i | ||||
\(344\) | 201.260 | − | 96.9216i | 0.585058 | − | 0.281749i | ||||
\(345\) | 179.248 | + | 512.260i | 0.519558 | + | 1.48481i | ||||
\(346\) | −31.5377 | + | 50.1920i | −0.0911495 | + | 0.145064i | ||||
\(347\) | 8.03629i | 0.0231593i | 0.999933 | + | 0.0115797i | \(0.00368600\pi\) | ||||
−0.999933 | + | 0.0115797i | \(0.996314\pi\) | |||||||
\(348\) | 115.115 | + | 127.591i | 0.330789 | + | 0.366642i | ||||
\(349\) | 635.847 | 1.82191 | 0.910956 | − | 0.412504i | \(-0.135346\pi\) | ||||
0.910956 | + | 0.412504i | \(0.135346\pi\) | |||||||
\(350\) | −242.595 | − | 152.433i | −0.693129 | − | 0.435522i | ||||
\(351\) | 281.560 | − | 98.5221i | 0.802166 | − | 0.280690i | ||||
\(352\) | 106.990 | + | 222.167i | 0.303948 | + | 0.631155i | ||||
\(353\) | −466.124 | + | 106.390i | −1.32047 | + | 0.301388i | −0.823961 | − | 0.566646i | \(-0.808241\pi\) |
−0.496505 | + | 0.868034i | \(0.665383\pi\) | |||||||
\(354\) | 250.811 | + | 57.2459i | 0.708505 | + | 0.161712i | ||||
\(355\) | −170.020 | − | 81.8772i | −0.478929 | − | 0.230640i | ||||
\(356\) | −5.99201 | + | 53.1806i | −0.0168315 | + | 0.149384i | ||||
\(357\) | −348.910 | + | 278.247i | −0.977339 | + | 0.779402i | ||||
\(358\) | −258.757 | − | 90.5430i | −0.722785 | − | 0.252913i | ||||
\(359\) | 9.68103 | + | 85.9215i | 0.0269666 | + | 0.239336i | 0.999964 | + | 0.00851817i | \(0.00271145\pi\) |
−0.972997 | + | 0.230817i | \(0.925860\pi\) | |||||||
\(360\) | −14.0481 | − | 14.0481i | −0.0390225 | − | 0.0390225i | ||||
\(361\) | 137.618 | + | 109.747i | 0.381214 | + | 0.304008i | ||||
\(362\) | −260.985 | − | 415.356i | −0.720954 | − | 1.14739i | ||||
\(363\) | −117.842 | + | 74.0453i | −0.324635 | + | 0.203982i | ||||
\(364\) | 142.160 | − | 178.263i | 0.390550 | − | 0.489735i | ||||
\(365\) | −218.516 | + | 218.516i | −0.598674 | + | 0.598674i | ||||
\(366\) | −46.9167 | + | 5.28624i | −0.128188 | + | 0.0144433i | ||||
\(367\) | −170.932 | + | 488.497i | −0.465756 | + | 1.33105i | 0.436442 | + | 0.899732i | \(0.356238\pi\) |
−0.902198 | + | 0.431322i | \(0.858047\pi\) | |||||||
\(368\) | −361.268 | − | 453.015i | −0.981706 | − | 1.23102i | ||||
\(369\) | 26.3189 | + | 2.96543i | 0.0713250 | + | 0.00803640i | ||||
\(370\) | 375.667 | − | 780.080i | 1.01532 | − | 2.10833i | ||||
\(371\) | −134.039 | + | 587.264i | −0.361291 | + | 1.58292i | ||||
\(372\) | −51.1165 | − | 223.956i | −0.137410 | − | 0.602032i | ||||
\(373\) | −148.476 | + | 71.5023i | −0.398059 | + | 0.191695i | −0.622194 | − | 0.782863i | \(-0.713759\pi\) |
0.224135 | + | 0.974558i | \(0.428044\pi\) | |||||||
\(374\) | −96.8609 | − | 276.813i | −0.258986 | − | 0.740141i | ||||
\(375\) | 136.075 | − | 216.562i | 0.362867 | − | 0.577499i | ||||
\(376\) | 84.5927i | 0.224981i | ||||||||
\(377\) | −249.691 | − | 221.019i | −0.662312 | − | 0.586258i | ||||
\(378\) | −655.393 | −1.73384 | ||||||||
\(379\) | −385.472 | − | 242.208i | −1.01708 | − | 0.639072i | −0.0831508 | − | 0.996537i | \(-0.526498\pi\) |
−0.933927 | + | 0.357465i | \(0.883641\pi\) | |||||||
\(380\) | −147.638 | + | 51.6608i | −0.388521 | + | 0.135950i | ||||
\(381\) | −178.908 | − | 371.506i | −0.469574 | − | 0.975080i | ||||
\(382\) | −30.7748 | + | 7.02415i | −0.0805623 | + | 0.0183878i | ||||
\(383\) | 280.279 | + | 63.9719i | 0.731799 | + | 0.167028i | 0.572154 | − | 0.820146i | \(-0.306108\pi\) |
0.159645 | + | 0.987174i | \(0.448965\pi\) | |||||||
\(384\) | 393.113 | + | 189.313i | 1.02373 | + | 0.493003i | ||||
\(385\) | 61.2379 | − | 543.502i | 0.159060 | − | 1.41169i | ||||
\(386\) | −222.867 | + | 177.730i | −0.577375 | + | 0.460441i | ||||
\(387\) | 26.8689 | + | 9.40184i | 0.0694287 | + | 0.0242941i | ||||
\(388\) | −7.67706 | − | 68.1358i | −0.0197862 | − | 0.175608i | ||||
\(389\) | −60.4535 | − | 60.4535i | −0.155408 | − | 0.155408i | 0.625121 | − | 0.780528i | \(-0.285050\pi\) |
−0.780528 | + | 0.625121i | \(0.785050\pi\) | |||||||
\(390\) | −409.154 | − | 326.289i | −1.04911 | − | 0.836639i | ||||
\(391\) | 213.152 | + | 339.230i | 0.545146 | + | 0.867595i | ||||
\(392\) | 254.203 | − | 159.726i | 0.648477 | − | 0.407465i | ||||
\(393\) | −152.656 | + | 191.425i | −0.388438 | + | 0.487086i | ||||
\(394\) | −327.034 | + | 327.034i | −0.830036 | + | 0.830036i | ||||
\(395\) | 222.918 | − | 25.1169i | 0.564350 | − | 0.0635870i | ||||
\(396\) | −3.56427 | + | 10.1861i | −0.00900068 | + | 0.0257225i | ||||
\(397\) | −303.313 | − | 380.342i | −0.764012 | − | 0.958040i | 0.235894 | − | 0.971779i | \(-0.424198\pi\) |
−0.999906 | + | 0.0137384i | \(0.995627\pi\) | |||||||
\(398\) | 361.275 | + | 40.7059i | 0.907725 | + | 0.102276i | ||||
\(399\) | −190.519 | + | 395.617i | −0.477491 | + | 0.991521i | ||||
\(400\) | 50.4501 | − | 221.036i | 0.126125 | − | 0.552591i | ||||
\(401\) | −122.942 | − | 538.643i | −0.306588 | − | 1.34325i | −0.859980 | − | 0.510328i | \(-0.829524\pi\) |
0.553392 | − | 0.832921i | \(-0.313333\pi\) | |||||||
\(402\) | 462.632 | − | 222.792i | 1.15083 | − | 0.554209i | ||||
\(403\) | 147.223 | + | 420.740i | 0.365318 | + | 1.04402i | ||||
\(404\) | 63.2782 | − | 100.707i | 0.156629 | − | 0.249274i | ||||
\(405\) | 520.924i | 1.28623i | ||||||||
\(406\) | 357.427 | + | 639.540i | 0.880362 | + | 1.57522i | ||||
\(407\) | 515.799 | 1.26732 | ||||||||
\(408\) | −184.878 | − | 116.166i | −0.453131 | − | 0.284721i | ||||
\(409\) | 137.784 | − | 48.2128i | 0.336881 | − | 0.117880i | −0.156537 | − | 0.987672i | \(-0.550033\pi\) |
0.493418 | + | 0.869792i | \(0.335747\pi\) | |||||||
\(410\) | 259.824 | + | 539.531i | 0.633718 | + | 1.31593i | ||||
\(411\) | 489.991 | − | 111.837i | 1.19219 | − | 0.272110i | ||||
\(412\) | −218.509 | − | 49.8732i | −0.530361 | − | 0.121051i | ||||
\(413\) | 319.107 | + | 153.674i | 0.772656 | + | 0.372092i | ||||
\(414\) | 5.11158 | − | 45.3666i | 0.0123468 | − | 0.109581i | ||||
\(415\) | 329.082 | − | 262.434i | 0.792968 | − | 0.632371i | ||||
\(416\) | 306.601 | + | 107.284i | 0.737021 | + | 0.257895i | ||||
\(417\) | 38.2590 | + | 339.558i | 0.0917483 | + | 0.814289i | ||||
\(418\) | −204.041 | − | 204.041i | −0.488136 | − | 0.488136i | ||||
\(419\) | −148.931 | − | 118.769i | −0.355444 | − | 0.283457i | 0.429445 | − | 0.903093i | \(-0.358709\pi\) |
−0.784890 | + | 0.619635i | \(0.787280\pi\) | |||||||
\(420\) | 197.542 | + | 314.386i | 0.470338 | + | 0.748538i | ||||
\(421\) | −357.054 | + | 224.352i | −0.848108 | + | 0.532902i | −0.884556 | − | 0.466434i | \(-0.845539\pi\) |
0.0364479 | + | 0.999336i | \(0.488396\pi\) | |||||||
\(422\) | −84.8515 | + | 106.400i | −0.201070 | + | 0.252134i | ||||
\(423\) | −7.62258 | + | 7.62258i | −0.0180203 | + | 0.0180203i | ||||
\(424\) | −292.862 | + | 32.9976i | −0.690713 | + | 0.0778246i | ||||
\(425\) | −51.7755 | + | 147.966i | −0.121825 | + | 0.348155i | ||||
\(426\) | 147.351 | + | 184.772i | 0.345894 | + | 0.433737i | ||||
\(427\) | −64.5922 | − | 7.27779i | −0.151270 | − | 0.0170440i | ||||
\(428\) | 56.5829 | − | 117.496i | 0.132203 | − | 0.274522i | ||||
\(429\) | 69.3738 | − | 303.946i | 0.161710 | − | 0.708499i | ||||
\(430\) | 143.219 | + | 627.485i | 0.333068 | + | 1.45927i | ||||
\(431\) | −95.2983 | + | 45.8932i | −0.221110 | + | 0.106481i | −0.541160 | − | 0.840920i | \(-0.682015\pi\) |
0.320050 | + | 0.947401i | \(0.396300\pi\) | |||||||
\(432\) | −171.291 | − | 489.521i | −0.396506 | − | 1.13315i | ||||
\(433\) | −408.562 | + | 650.223i | −0.943562 | + | 1.50167i | −0.0803883 | + | 0.996764i | \(0.525616\pi\) |
−0.863174 | + | 0.504907i | \(0.831527\pi\) | |||||||
\(434\) | − | 979.364i | − | 2.25660i | ||||||
\(435\) | 474.014 | − | 264.918i | 1.08969 | − | 0.609006i | ||||
\(436\) | 22.2037 | 0.0509260 | ||||||||
\(437\) | 333.779 | + | 209.727i | 0.763796 | + | 0.479925i | ||||
\(438\) | 365.300 | − | 127.824i | 0.834019 | − | 0.291836i | ||||
\(439\) | 228.661 | + | 474.820i | 0.520869 | + | 1.08160i | 0.981047 | + | 0.193769i | \(0.0620711\pi\) |
−0.460179 | + | 0.887826i | \(0.652215\pi\) | |||||||
\(440\) | 260.888 | − | 59.5461i | 0.592928 | − | 0.135332i | ||||
\(441\) | 37.2989 | + | 8.51322i | 0.0845779 | + | 0.0193044i | ||||
\(442\) | −348.067 | − | 167.620i | −0.787483 | − | 0.379232i | ||||
\(443\) | 26.7609 | − | 237.510i | 0.0604084 | − | 0.536139i | −0.926667 | − | 0.375883i | \(-0.877339\pi\) |
0.987075 | − | 0.160256i | \(-0.0512320\pi\) | |||||||
\(444\) | −273.763 | + | 218.319i | −0.616583 | + | 0.491709i | ||||
\(445\) | 159.620 | + | 55.8535i | 0.358697 | + | 0.125514i | ||||
\(446\) | 36.5811 | + | 324.666i | 0.0820204 | + | 0.727952i | ||||
\(447\) | −316.383 | − | 316.383i | −0.707791 | − | 0.707791i | ||||
\(448\) | 91.8550 | + | 73.2519i | 0.205034 | + | 0.163509i | ||||
\(449\) | 162.359 | + | 258.393i | 0.361601 | + | 0.575485i | 0.977133 | − | 0.212627i | \(-0.0682019\pi\) |
−0.615532 | + | 0.788112i | \(0.711059\pi\) | |||||||
\(450\) | 15.1255 | − | 9.50395i | 0.0336121 | − | 0.0211199i | ||||
\(451\) | −222.427 | + | 278.914i | −0.493185 | + | 0.618435i | ||||
\(452\) | 57.9610 | − | 57.9610i | 0.128232 | − | 0.128232i | ||||
\(453\) | −884.644 | + | 99.6755i | −1.95286 | + | 0.220034i | ||||
\(454\) | 136.001 | − | 388.670i | 0.299563 | − | 0.856100i | ||||
\(455\) | −449.216 | − | 563.299i | −0.987289 | − | 1.23802i | ||||
\(456\) | −213.485 | − | 24.0540i | −0.468169 | − | 0.0527500i | ||||
\(457\) | 181.449 | − | 376.783i | 0.397045 | − | 0.824472i | −0.602606 | − | 0.798039i | \(-0.705871\pi\) |
0.999651 | − | 0.0264327i | \(-0.00841477\pi\) | |||||||
\(458\) | −84.5653 | + | 370.505i | −0.184640 | + | 0.808963i | ||||
\(459\) | 79.7950 | + | 349.605i | 0.173845 | + | 0.761666i | ||||
\(460\) | 300.319 | − | 144.626i | 0.652867 | − | 0.314404i | ||||
\(461\) | −196.436 | − | 561.383i | −0.426109 | − | 1.21775i | −0.934294 | − | 0.356502i | \(-0.883969\pi\) |
0.508185 | − | 0.861248i | \(-0.330317\pi\) | |||||||
\(462\) | −364.428 | + | 579.983i | −0.788804 | + | 1.25537i | ||||
\(463\) | − | 903.693i | − | 1.95182i | −0.218171 | − | 0.975910i | \(-0.570009\pi\) | ||
0.218171 | − | 0.975910i | \(-0.429991\pi\) | |||||||
\(464\) | −384.264 | + | 434.114i | −0.828155 | + | 0.935590i | ||||
\(465\) | −725.884 | −1.56104 | ||||||||
\(466\) | 609.258 | + | 382.822i | 1.30742 | + | 0.821507i | ||||
\(467\) | 674.139 | − | 235.892i | 1.44355 | − | 0.505121i | 0.508945 | − | 0.860799i | \(-0.330036\pi\) |
0.934609 | + | 0.355678i | \(0.115750\pi\) | |||||||
\(468\) | 6.16806 | + | 12.8081i | 0.0131796 | + | 0.0273678i | ||||
\(469\) | 689.210 | − | 157.308i | 1.46953 | − | 0.335411i | ||||
\(470\) | −237.623 | − | 54.2359i | −0.505581 | − | 0.115396i | ||||
\(471\) | −719.772 | − | 346.624i | −1.52818 | − | 0.735932i | ||||
\(472\) | −19.4021 | + | 172.198i | −0.0411061 | + | 0.364827i | ||||
\(473\) | −299.774 | + | 239.062i | −0.633773 | + | 0.505417i | ||||
\(474\) | −265.178 | − | 92.7896i | −0.559446 | − | 0.195759i | ||||
\(475\) | 17.2698 | + | 153.274i | 0.0363576 | + | 0.322682i | ||||
\(476\) | 193.814 | + | 193.814i | 0.407173 | + | 0.407173i | ||||
\(477\) | −29.3630 | − | 23.4162i | −0.0615576 | − | 0.0490905i | ||||
\(478\) | −332.781 | − | 529.619i | −0.696196 | − | 1.10799i | ||||
\(479\) | 9.59607 | − | 6.02961i | 0.0200336 | − | 0.0125879i | −0.521978 | − | 0.852959i | \(-0.674806\pi\) |
0.542012 | + | 0.840371i | \(0.317663\pi\) | |||||||
\(480\) | −329.804 | + | 413.561i | −0.687092 | + | 0.861586i | ||||
\(481\) | 480.453 | − | 480.453i | 0.998863 | − | 0.998863i | ||||
\(482\) | −57.6403 | + | 6.49450i | −0.119586 | + | 0.0134741i | ||||
\(483\) | 309.057 | − | 883.235i | 0.639870 | − | 1.82864i | ||||
\(484\) | 53.2954 | + | 66.8303i | 0.110114 | + | 0.138079i | ||||
\(485\) | −215.304 | − | 24.2589i | −0.443926 | − | 0.0500185i | ||||
\(486\) | 36.8351 | − | 76.4889i | 0.0757924 | − | 0.157385i | ||||
\(487\) | −178.718 | + | 783.016i | −0.366978 | + | 1.60784i | 0.368055 | + | 0.929804i | \(0.380024\pi\) |
−0.735033 | + | 0.678031i | \(0.762833\pi\) | |||||||
\(488\) | −7.07672 | − | 31.0051i | −0.0145015 | − | 0.0635351i | ||||
\(489\) | −167.525 | + | 80.6757i | −0.342587 | + | 0.164981i | ||||
\(490\) | 285.695 | + | 816.471i | 0.583052 | + | 1.66627i | ||||
\(491\) | 197.816 | − | 314.823i | 0.402885 | − | 0.641187i | −0.582242 | − | 0.813015i | \(-0.697824\pi\) |
0.985127 | + | 0.171828i | \(0.0549673\pi\) | |||||||
\(492\) | − | 242.180i | − | 0.492236i | ||||||
\(493\) | 297.631 | − | 268.526i | 0.603714 | − | 0.544678i | ||||
\(494\) | −380.118 | −0.769469 | ||||||||
\(495\) | 28.8741 | + | 18.1428i | 0.0583315 | + | 0.0366521i | ||||
\(496\) | 731.498 | − | 255.962i | 1.47479 | − | 0.516053i | ||||
\(497\) | 141.172 | + | 293.147i | 0.284048 | + | 0.589833i | ||||
\(498\) | −513.921 | + | 117.299i | −1.03197 | + | 0.235540i | ||||
\(499\) | 468.476 | + | 106.927i | 0.938830 | + | 0.214282i | 0.664444 | − | 0.747338i | \(-0.268668\pi\) |
0.274386 | + | 0.961620i | \(0.411526\pi\) | |||||||
\(500\) | −141.531 | − | 68.1577i | −0.283062 | − | 0.136315i | ||||
\(501\) | −64.0140 | + | 568.140i | −0.127773 | + | 1.13401i | ||||
\(502\) | 272.117 | − | 217.006i | 0.542065 | − | 0.432282i | ||||
\(503\) | −344.807 | − | 120.653i | −0.685501 | − | 0.239867i | −0.0350167 | − | 0.999387i | \(-0.511148\pi\) |
−0.650485 | + | 0.759519i | \(0.725434\pi\) | |||||||
\(504\) | 3.83529 | + | 34.0392i | 0.00760971 | + | 0.0675380i | ||||
\(505\) | −265.753 | − | 265.753i | −0.526244 | − | 0.526244i | ||||
\(506\) | 480.771 | + | 383.402i | 0.950140 | + | 0.757711i | ||||
\(507\) | 60.7846 | + | 96.7381i | 0.119891 | + | 0.190805i | ||||
\(508\) | −214.436 | + | 134.739i | −0.422119 | + | 0.265235i | ||||
\(509\) | 525.388 | − | 658.816i | 1.03220 | − | 1.29433i | 0.0774230 | − | 0.996998i | \(-0.475331\pi\) |
0.954773 | − | 0.297335i | \(-0.0960978\pi\) | |||||||
\(510\) | 444.847 | − | 444.847i | 0.872249 | − | 0.872249i | ||||
\(511\) | 529.474 | − | 59.6574i | 1.03615 | − | 0.116746i | ||||
\(512\) | 52.2135 | − | 149.217i | 0.101979 | − | 0.291440i | ||||
\(513\) | 219.988 | + | 275.856i | 0.428826 | + | 0.537731i | ||||
\(514\) | 211.231 | + | 23.8000i | 0.410955 | + | 0.0463035i | ||||
\(515\) | −307.289 | + | 638.092i | −0.596677 | + | 1.23901i | ||||
\(516\) | 57.9206 | − | 253.767i | 0.112249 | − | 0.491796i | ||||
\(517\) | −32.3101 | − | 141.560i | −0.0624953 | − | 0.273810i | ||||
\(518\) | −1345.01 | + | 647.722i | −2.59654 | + | 1.25043i | ||||
\(519\) | −25.0197 | − | 71.5022i | −0.0482075 | − | 0.137769i | ||||
\(520\) | 187.545 | − | 298.476i | 0.360664 | − | 0.573993i | ||||
\(521\) | − | 150.865i | − | 0.289569i | −0.989463 | − | 0.144784i | \(-0.953751\pi\) | ||
0.989463 | − | 0.144784i | \(-0.0462489\pi\) | |||||||
\(522\) | −45.5947 | + | 2.77730i | −0.0873461 | + | 0.00532050i | ||||
\(523\) | −792.504 | −1.51530 | −0.757652 | − | 0.652659i | \(-0.773653\pi\) | ||||
−0.757652 | + | 0.652659i | \(0.773653\pi\) | |||||||
\(524\) | 127.329 | + | 80.0062i | 0.242994 | + | 0.152684i | ||||
\(525\) | 345.595 | − | 120.929i | 0.658276 | − | 0.230341i | ||||
\(526\) | −103.057 | − | 214.000i | −0.195926 | − | 0.406845i | ||||
\(527\) | −522.420 | + | 119.239i | −0.991309 | + | 0.226260i | ||||
\(528\) | −528.441 | − | 120.613i | −1.00084 | − | 0.228434i | ||||
\(529\) | −280.254 | − | 134.963i | −0.529781 | − | 0.255129i | ||||
\(530\) | 95.0750 | − | 843.814i | 0.179387 | − | 1.59210i | ||||
\(531\) | −17.2650 | + | 13.7684i | −0.0325141 | + | 0.0259291i | ||||
\(532\) | 254.557 | + | 89.0732i | 0.478490 | + | 0.167431i | ||||
\(533\) | 52.6167 | + | 466.986i | 0.0987180 | + | 0.876146i | ||||
\(534\) | −149.757 | − | 149.757i | −0.280444 | − | 0.280444i | ||||
\(535\) | −322.183 | − | 256.932i | −0.602210 | − | 0.480247i | ||||
\(536\) | 184.017 | + | 292.862i | 0.343316 | + | 0.546384i | ||||
\(537\) | 296.637 | − | 186.389i | 0.552396 | − | 0.347093i | ||||
\(538\) | −40.5948 | + | 50.9042i | −0.0754550 | + | 0.0946176i | ||||
\(539\) | −364.383 | + | 364.383i | −0.676035 | + | 0.676035i | ||||
\(540\) | 296.474 | − | 33.4046i | 0.549026 | − | 0.0618603i | ||||
\(541\) | −71.8125 | + | 205.228i | −0.132740 | + | 0.379350i | −0.990999 | − | 0.133867i | \(-0.957261\pi\) |
0.858259 | + | 0.513217i | \(0.171546\pi\) | |||||||
\(542\) | −264.514 | − | 331.690i | −0.488033 | − | 0.611973i | ||||
\(543\) | 622.942 | + | 70.1888i | 1.14722 | + | 0.129261i | ||||
\(544\) | −169.426 | + | 351.817i | −0.311445 | + | 0.646722i | ||||
\(545\) | 15.6125 | − | 68.4030i | 0.0286469 | − | 0.125510i | ||||
\(546\) | 200.784 | + | 879.694i | 0.367737 | + | 1.61116i | ||||
\(547\) | −396.400 | + | 190.896i | −0.724680 | + | 0.348987i | −0.759589 | − | 0.650403i | \(-0.774600\pi\) |
0.0349094 | + | 0.999390i | \(0.488886\pi\) | |||||||
\(548\) | −101.952 | − | 291.363i | −0.186045 | − | 0.531685i | ||||
\(549\) | 2.15617 | − | 3.43153i | 0.00392745 | − | 0.00625051i | ||||
\(550\) | 240.611i | 0.437475i | ||||||||
\(551\) | 149.210 | − | 365.108i | 0.270799 | − | 0.662629i | ||||
\(552\) | 457.825 | 0.829394 | ||||||||
\(553\) | −327.501 | − | 205.783i | −0.592227 | − | 0.372121i | ||||
\(554\) | 995.123 | − | 348.209i | 1.79625 | − | 0.628535i | ||||
\(555\) | 480.078 | + | 996.892i | 0.865005 | + | 1.79620i | ||||
\(556\) | 204.610 | − | 46.7009i | 0.368004 | − | 0.0839945i | ||||
\(557\) | 593.083 | + | 135.367i | 1.06478 | + | 0.243029i | 0.718803 | − | 0.695214i | \(-0.244690\pi\) |
0.345977 | + | 0.938243i | \(0.387547\pi\) | |||||||
\(558\) | 55.0149 | + | 26.4938i | 0.0985929 | + | 0.0474799i | ||||
\(559\) | −56.5520 | + | 501.912i | −0.101166 | + | 0.897876i | ||||
\(560\) | −979.353 | + | 781.008i | −1.74884 | + | 1.39466i | ||||
\(561\) | 353.749 | + | 123.782i | 0.630568 | + | 0.220645i | ||||
\(562\) | 107.663 | + | 955.532i | 0.191570 | + | 1.70023i | ||||
\(563\) | 498.815 | + | 498.815i | 0.885995 | + | 0.885995i | 0.994136 | − | 0.108141i | \(-0.0344897\pi\) |
−0.108141 | + | 0.994136i | \(0.534490\pi\) | |||||||
\(564\) | 77.0657 | + | 61.4579i | 0.136641 | + | 0.108968i | ||||
\(565\) | −137.805 | − | 219.316i | −0.243903 | − | 0.388170i | ||||
\(566\) | 332.495 | − | 208.920i | 0.587447 | − | 0.369117i | ||||
\(567\) | 560.002 | − | 702.220i | 0.987657 | − | 1.23848i | ||||
\(568\) | −112.565 | + | 112.565i | −0.198177 | + | 0.198177i | ||||
\(569\) | −315.227 | + | 35.5176i | −0.554002 | + | 0.0624210i | −0.384527 | − | 0.923114i | \(-0.625636\pi\) |
−0.169474 | + | 0.985535i | \(0.554207\pi\) | |||||||
\(570\) | 204.443 | − | 584.263i | 0.358671 | − | 1.02502i | ||||
\(571\) | −321.408 | − | 403.033i | −0.562886 | − | 0.705836i | 0.416203 | − | 0.909272i | \(-0.363361\pi\) |
−0.979088 | + | 0.203436i | \(0.934789\pi\) | |||||||
\(572\) | −190.277 | − | 21.4390i | −0.332652 | − | 0.0374808i | ||||
\(573\) | 17.5027 | − | 36.3447i | 0.0305457 | − | 0.0634289i | ||||
\(574\) | 229.754 | − | 1006.62i | 0.400268 | − | 1.75369i | ||||
\(575\) | −73.1428 | − | 320.460i | −0.127205 | − | 0.557321i | ||||
\(576\) | −6.59972 | + | 3.17826i | −0.0114579 | + | 0.00551781i | ||||
\(577\) | 325.366 | + | 929.842i | 0.563892 | + | 1.61151i | 0.773549 | + | 0.633736i | \(0.218480\pi\) |
−0.209657 | + | 0.977775i | \(0.567235\pi\) | |||||||
\(578\) | −126.637 | + | 201.542i | −0.219095 | + | 0.348688i | ||||
\(579\) | − | 364.285i | − | 0.629162i | ||||||
\(580\) | −194.282 | − | 271.085i | −0.334970 | − | 0.467388i | ||||
\(581\) | −725.732 | −1.24911 | ||||||||
\(582\) | 229.756 | + | 144.365i | 0.394770 | + | 0.248050i | ||||
\(583\) | 477.480 | − | 167.077i | 0.819005 | − | 0.286582i | ||||
\(584\) | 113.110 | + | 234.875i | 0.193681 | + | 0.402182i | ||||
\(585\) | 43.7950 | − | 9.99593i | 0.0748633 | − | 0.0170871i | ||||
\(586\) | −1249.46 | − | 285.181i | −2.13219 | − | 0.486658i | ||||
\(587\) | 758.249 | + | 365.153i | 1.29174 | + | 0.622067i | 0.948379 | − | 0.317138i | \(-0.102722\pi\) |
0.343356 | + | 0.939205i | \(0.388436\pi\) | |||||||
\(588\) | 39.1683 | − | 347.628i | 0.0666127 | − | 0.591204i | ||||
\(589\) | −412.216 | + | 328.731i | −0.699858 | + | 0.558118i | ||||
\(590\) | −471.270 | − | 164.905i | −0.798763 | − | 0.279499i | ||||
\(591\) | −66.1755 | − | 587.324i | −0.111972 | − | 0.993780i | ||||
\(592\) | −835.317 | − | 835.317i | −1.41101 | − | 1.41101i | ||||
\(593\) | −27.0486 | − | 21.5706i | −0.0456132 | − | 0.0363753i | 0.600418 | − | 0.799686i | \(-0.295001\pi\) |
−0.646031 | + | 0.763311i | \(0.723572\pi\) | |||||||
\(594\) | 292.830 | + | 466.036i | 0.492980 | + | 0.784573i | ||||
\(595\) | 733.365 | − | 460.804i | 1.23255 | − | 0.774460i | ||||
\(596\) | −171.340 | + | 214.853i | −0.287483 | + | 0.360492i | ||||
\(597\) | −328.527 | + | 328.527i | −0.550296 | + | 0.550296i | ||||
\(598\) | 804.955 | − | 90.6966i | 1.34608 | − | 0.151667i | ||||
\(599\) | 3.54858 | − | 10.1412i | 0.00592417 | − | 0.0169303i | −0.940883 | − | 0.338731i | \(-0.890002\pi\) |
0.946807 | + | 0.321801i | \(0.104288\pi\) | |||||||
\(600\) | 111.692 | + | 140.057i | 0.186153 | + | 0.233428i | ||||
\(601\) | 368.282 | + | 41.4954i | 0.612783 | + | 0.0690440i | 0.412901 | − | 0.910776i | \(-0.364516\pi\) |
0.199882 | + | 0.979820i | \(0.435944\pi\) | |||||||
\(602\) | 481.493 | − | 999.830i | 0.799822 | − | 1.66085i | ||||
\(603\) | −9.80790 | + | 42.9712i | −0.0162652 | + | 0.0712624i | ||||
\(604\) | 121.669 | + | 533.067i | 0.201439 | + | 0.882560i | ||||
\(605\) | 243.359 | − | 117.195i | 0.402246 | − | 0.193712i | ||||
\(606\) | 155.456 | + | 444.268i | 0.256528 | + | 0.733115i | ||||
\(607\) | −219.680 | + | 349.619i | −0.361912 | + | 0.575979i | −0.977199 | − | 0.212324i | \(-0.931897\pi\) |
0.615288 | + | 0.788302i | \(0.289040\pi\) | |||||||
\(608\) | 384.212i | 0.631928i | ||||||||
\(609\) | −923.774 | − | 152.456i | −1.51687 | − | 0.250339i | ||||
\(610\) | 91.6314 | 0.150215 | ||||||||
\(611\) | −161.955 | − | 101.763i | −0.265066 | − | 0.166552i | ||||
\(612\) | −16.1304 | + | 5.64428i | −0.0263569 | + | 0.00922268i | ||||
\(613\) | −443.542 | − | 921.025i | −0.723560 | − | 1.50249i | −0.859151 | − | 0.511722i | \(-0.829008\pi\) |
0.135591 | − | 0.990765i | \(-0.456707\pi\) | |||||||
\(614\) | −881.976 | + | 201.305i | −1.43644 | + | 0.327859i | ||||
\(615\) | −746.084 | − | 170.289i | −1.21315 | − | 0.276892i | ||||
\(616\) | −415.698 | − | 200.190i | −0.674834 | − | 0.324983i | ||||
\(617\) | 12.9759 | − | 115.164i | 0.0210306 | − | 0.186652i | −0.978805 | − | 0.204795i | \(-0.934347\pi\) |
0.999835 | + | 0.0181438i | \(0.00577566\pi\) | |||||||
\(618\) | 693.457 | − | 553.014i | 1.12210 | − | 0.894844i | ||||
\(619\) | 36.6784 | + | 12.8343i | 0.0592543 | + | 0.0207340i | 0.359743 | − | 0.933051i | \(-0.382864\pi\) |
−0.300489 | + | 0.953785i | \(0.597150\pi\) | |||||||
\(620\) | 49.9170 | + | 443.025i | 0.0805113 | + | 0.714557i | ||||
\(621\) | −531.676 | − | 531.676i | −0.856162 | − | 0.856162i | ||||
\(622\) | −547.745 | − | 436.812i | −0.880619 | − | 0.702270i | ||||
\(623\) | −155.129 | − | 246.886i | −0.249003 | − | 0.396286i | ||||
\(624\) | −604.578 | + | 379.881i | −0.968875 | + | 0.608784i | ||||
\(625\) | −486.264 | + | 609.755i | −0.778022 | + | 0.975609i | ||||
\(626\) | 322.787 | − | 322.787i | 0.515635 | − | 0.515635i | ||||
\(627\) | 366.439 | − | 41.2878i | 0.584432 | − | 0.0658497i | ||||
\(628\) | −162.057 | + | 463.132i | −0.258052 | + | 0.737471i | ||||
\(629\) | 509.269 | + | 638.604i | 0.809649 | + | 1.01527i | ||||
\(630\) | −98.0758 | − | 11.0505i | −0.155676 | − | 0.0175405i | ||||
\(631\) | 116.281 | − | 241.460i | 0.184280 | − | 0.382662i | −0.788279 | − | 0.615318i | \(-0.789027\pi\) |
0.972559 | + | 0.232656i | \(0.0747417\pi\) | |||||||
\(632\) | 42.1099 | − | 184.495i | 0.0666295 | − | 0.291923i | ||||
\(633\) | −38.6999 | − | 169.555i | −0.0611373 | − | 0.267860i | ||||
\(634\) | 1230.76 | − | 592.704i | 1.94127 | − | 0.934864i | ||||
\(635\) | 264.310 | + | 755.356i | 0.416237 | + | 1.18954i | ||||
\(636\) | −182.707 | + | 290.777i | −0.287275 | + | 0.457196i | ||||
\(637\) | 678.827i | 1.06566i | ||||||||
\(638\) | 295.065 | − | 539.906i | 0.462484 | − | 0.846247i | ||||
\(639\) | −20.2862 | −0.0317469 | ||||||||
\(640\) | −717.014 | − | 450.530i | −1.12033 | − | 0.703952i | ||||
\(641\) | −937.367 | + | 327.999i | −1.46235 | + | 0.511699i | −0.940043 | − | 0.341057i | \(-0.889215\pi\) |
−0.522309 | + | 0.852756i | \(0.674929\pi\) | |||||||
\(642\) | 223.921 | + | 464.977i | 0.348787 | + | 0.724264i | ||||
\(643\) | 311.987 | − | 71.2090i | 0.485206 | − | 0.110745i | 0.0270814 | − | 0.999633i | \(-0.491379\pi\) |
0.458124 | + | 0.888888i | \(0.348522\pi\) | |||||||
\(644\) | −560.314 | − | 127.888i | −0.870052 | − | 0.198584i | ||||
\(645\) | −741.053 | − | 356.872i | −1.14892 | − | 0.553291i | ||||
\(646\) | 51.1623 | − | 454.078i | 0.0791987 | − | 0.702908i | ||||
\(647\) | −288.416 | + | 230.004i | −0.445774 | + | 0.355493i | −0.820504 | − | 0.571641i | \(-0.806307\pi\) |
0.374730 | + | 0.927134i | \(0.377736\pi\) | |||||||
\(648\) | 414.782 | + | 145.139i | 0.640096 | + | 0.223979i | ||||
\(649\) | −33.3029 | − | 295.572i | −0.0513142 | − | 0.455427i | ||||
\(650\) | 224.123 | + | 224.123i | 0.344805 | + | 0.344805i | ||||
\(651\) | 978.512 | + | 780.337i | 1.50309 | + | 1.19867i | ||||
\(652\) | 60.7586 | + | 96.6968i | 0.0931881 | + | 0.148308i | ||||
\(653\) | −257.346 | + | 161.701i | −0.394098 | + | 0.247628i | −0.714474 | − | 0.699662i | \(-0.753334\pi\) |
0.320375 | + | 0.947291i | \(0.396191\pi\) | |||||||
\(654\) | −54.7854 | + | 68.6988i | −0.0837698 | + | 0.105044i | ||||
\(655\) | 336.007 | − | 336.007i | 0.512987 | − | 0.512987i | ||||
\(656\) | 811.902 | − | 91.4794i | 1.23766 | − | 0.139450i | ||||
\(657\) | −10.9721 | + | 31.3566i | −0.0167004 | + | 0.0477269i | ||||
\(658\) | 262.018 | + | 328.560i | 0.398204 | + | 0.499332i | ||||
\(659\) | −331.819 | − | 37.3870i | −0.503518 | − | 0.0567329i | −0.143448 | − | 0.989658i | \(-0.545819\pi\) |
−0.360071 | + | 0.932925i | \(0.617247\pi\) | |||||||
\(660\) | 135.292 | − | 280.936i | 0.204987 | − | 0.425660i | ||||
\(661\) | −231.074 | + | 1012.40i | −0.349583 | + | 1.53162i | 0.428548 | + | 0.903519i | \(0.359025\pi\) |
−0.778131 | + | 0.628103i | \(0.783832\pi\) | |||||||
\(662\) | −230.321 | − | 1009.10i | −0.347917 | − | 1.52433i | ||||
\(663\) | 444.807 | − | 214.208i | 0.670901 | − | 0.323089i | ||||
\(664\) | −117.273 | − | 335.148i | −0.176616 | − | 0.504741i | ||||
\(665\) | 453.399 | − | 721.581i | 0.681803 | − | 1.08508i | ||||
\(666\) | − | 93.0768i | − | 0.139755i | ||||||
\(667\) | −228.859 | + | 808.772i | −0.343117 | + | 1.21255i | ||||
\(668\) | 351.152 | 0.525677 | ||||||||
\(669\) | −353.531 | − | 222.138i | −0.528447 | − | 0.332045i | ||||
\(670\) | −940.638 | + | 329.143i | −1.40394 | + | 0.491259i | ||||
\(671\) | 23.6847 | + | 49.1819i | 0.0352977 | + | 0.0732964i | ||||
\(672\) | 889.171 | − | 202.947i | 1.32317 | − | 0.302005i | ||||
\(673\) | 145.913 | + | 33.3038i | 0.216810 | + | 0.0494856i | 0.329546 | − | 0.944139i | \(-0.393104\pi\) |
−0.112736 | + | 0.993625i | \(0.535961\pi\) | |||||||
\(674\) | 780.319 | + | 375.782i | 1.15774 | + | 0.557540i | ||||
\(675\) | 32.9408 | − | 292.358i | 0.0488012 | − | 0.433122i | ||||
\(676\) | 54.8617 | − | 43.7508i | 0.0811564 | − | 0.0647201i | ||||
\(677\) | 458.596 | + | 160.470i | 0.677395 | + | 0.237031i | 0.646980 | − | 0.762507i | \(-0.276032\pi\) |
0.0304143 | + | 0.999537i | \(0.490317\pi\) | |||||||
\(678\) | 36.3196 | + | 322.346i | 0.0535688 | + | 0.475436i | ||||
\(679\) | 264.157 | + | 264.157i | 0.389039 | + | 0.389039i | ||||
\(680\) | 331.309 | + | 264.210i | 0.487219 | + | 0.388544i | ||||
\(681\) | 279.968 | + | 445.567i | 0.411114 | + | 0.654284i | ||||
\(682\) | −696.405 | + | 437.580i | −1.02112 | + | 0.641613i | ||||
\(683\) | 431.703 | − | 541.338i | 0.632069 | − | 0.792589i | −0.357918 | − | 0.933753i | \(-0.616513\pi\) |
0.989986 | + | 0.141164i | \(0.0450846\pi\) | |||||||
\(684\) | −11.8899 | + | 11.8899i | −0.0173828 | + | 0.0173828i | ||||
\(685\) | −969.292 | + | 109.213i | −1.41502 | + | 0.159435i | ||||
\(686\) | 83.7369 | − | 239.306i | 0.122065 | − | 0.348843i | ||||
\(687\) | −302.803 | − | 379.703i | −0.440761 | − | 0.552697i | ||||
\(688\) | 872.626 | + | 98.3213i | 1.26835 | + | 0.142909i | ||||
\(689\) | 289.132 | − | 600.389i | 0.419640 | − | 0.871391i | ||||
\(690\) | −293.531 | + | 1286.04i | −0.425407 | + | 1.86383i | ||||
\(691\) | 126.440 | + | 553.969i | 0.182981 | + | 0.801691i | 0.980201 | + | 0.198003i | \(0.0634456\pi\) |
−0.797221 | + | 0.603688i | \(0.793697\pi\) | |||||||
\(692\) | −41.9191 | + | 20.1872i | −0.0605767 | + | 0.0291722i | ||||
\(693\) | −19.4193 | − | 55.4971i | −0.0280221 | − | 0.0800824i | ||||
\(694\) | −10.3921 | + | 16.5390i | −0.0149742 | + | 0.0238314i | ||||
\(695\) | − | 663.180i | − | 0.954216i | ||||||
\(696\) | −78.8703 | − | 451.241i | −0.113319 | − | 0.648335i | ||||
\(697\) | −564.931 | −0.810518 | ||||||||
\(698\) | 1308.60 | + | 822.245i | 1.87478 | + | 1.17800i | ||||
\(699\) | −867.933 | + | 303.703i | −1.24168 | + | 0.434482i | ||||
\(700\) | −97.5716 | − | 202.610i | −0.139388 | − | 0.289442i | ||||
\(701\) | 669.767 | − | 152.870i | 0.955445 | − | 0.218074i | 0.283747 | − | 0.958899i | \(-0.408422\pi\) |
0.671698 | + | 0.740825i | \(0.265565\pi\) | |||||||
\(702\) | 706.865 | + | 161.337i | 1.00693 | + | 0.229825i | ||||
\(703\) | 724.090 | + | 348.704i | 1.03000 | + | 0.496022i | ||||
\(704\) | 11.0470 | − | 98.0452i | 0.0156918 | − | 0.139269i | ||||
\(705\) | 243.522 | − | 194.202i | 0.345421 | − | 0.275464i | ||||
\(706\) | −1096.88 | − | 383.814i | −1.55365 | − | 0.543646i | ||||
\(707\) | 72.5537 | + | 643.932i | 0.102622 | + | 0.910795i | ||||
\(708\) | 142.780 | + | 142.780i | 0.201667 | + | 0.201667i | ||||
\(709\) | 361.110 | + | 287.976i | 0.509324 | + | 0.406172i | 0.844149 | − | 0.536108i | \(-0.180106\pi\) |
−0.334826 | + | 0.942280i | \(0.608677\pi\) | |||||||
\(710\) | −244.027 | − | 388.367i | −0.343700 | − | 0.546996i | ||||
\(711\) | 20.4192 | − | 12.8302i | 0.0287190 | − | 0.0180454i | ||||
\(712\) | 88.9460 | − | 111.535i | 0.124924 | − | 0.156650i | ||||
\(713\) | 794.492 | − | 794.492i | 1.11429 | − | 1.11429i | ||||
\(714\) | −1077.88 | + | 121.448i | −1.50964 | + | 0.170096i | ||||
\(715\) | −199.840 | + | 571.111i | −0.279497 | + | 0.798757i | ||||
\(716\) | −134.157 | − | 168.227i | −0.187370 | − | 0.234954i | ||||
\(717\) | 794.312 | + | 89.4974i | 1.10783 | + | 0.124822i | ||||
\(718\) | −91.1854 | + | 189.349i | −0.126999 | + | 0.263717i | ||||
\(719\) | −115.701 | + | 506.920i | −0.160920 | + | 0.705035i | 0.828504 | + | 0.559983i | \(0.189192\pi\) |
−0.989424 | + | 0.145052i | \(0.953665\pi\) | |||||||
\(720\) | −17.3789 | − | 76.1421i | −0.0241374 | − | 0.105753i | ||||
\(721\) | 1100.19 | − | 529.825i | 1.52593 | − | 0.734848i | ||||
\(722\) | 141.304 | + | 403.824i | 0.195712 | + | 0.559313i | ||||
\(723\) | 39.4378 | − | 62.7648i | 0.0545474 | − | 0.0868117i | ||||
\(724\) | − | 385.024i | − | 0.531801i | ||||||
\(725\) | −303.250 | + | 127.297i | −0.418276 | + | 0.175582i | ||||
\(726\) | −338.276 | −0.465944 | ||||||||
\(727\) | −1047.82 | − | 658.389i | −1.44129 | − | 0.905624i | −0.999966 | − | 0.00827820i | \(-0.997365\pi\) |
−0.441327 | − | 0.897346i | \(-0.645492\pi\) | |||||||
\(728\) | −573.683 | + | 200.740i | −0.788026 | + | 0.275742i | ||||
\(729\) | −290.364 | − | 602.947i | −0.398304 | − | 0.827088i | ||||
\(730\) | −732.288 | + | 167.140i | −1.00313 | + | 0.228959i | ||||
\(731\) | −591.959 | − | 135.111i | −0.809794 | − | 0.184830i | ||||
\(732\) | −33.3877 | − | 16.0787i | −0.0456116 | − | 0.0219654i | ||||
\(733\) | 11.3513 | − | 100.746i | 0.0154861 | − | 0.137443i | −0.983590 | − | 0.180418i | \(-0.942255\pi\) |
0.999076 | + | 0.0429750i | \(0.0136836\pi\) | |||||||
\(734\) | −983.484 | + | 784.303i | −1.33990 | + | 1.06853i | ||||
\(735\) | −1043.40 | − | 365.100i | −1.41959 | − | 0.496735i | ||||
\(736\) | −91.6736 | − | 813.626i | −0.124557 | − | 1.10547i | ||||
\(737\) | −419.797 | − | 419.797i | −0.569603 | − | 0.569603i | ||||
\(738\) | 50.3305 | + | 40.1373i | 0.0681986 | + | 0.0543865i | ||||
\(739\) | −408.803 | − | 650.606i | −0.553184 | − | 0.880387i | 0.446714 | − | 0.894677i | \(-0.352594\pi\) |
−0.999898 | + | 0.0142895i | \(0.995451\pi\) | |||||||
\(740\) | 575.415 | − | 361.557i | 0.777588 | − | 0.488591i | ||||
\(741\) | 302.870 | − | 379.787i | 0.408732 | − | 0.512533i | ||||
\(742\) | −1035.28 | + | 1035.28i | −1.39525 | + | 1.39525i | ||||
\(743\) | −576.403 | + | 64.9450i | −0.775778 | + | 0.0874091i | −0.490971 | − | 0.871176i | \(-0.663358\pi\) |
−0.284807 | + | 0.958585i | \(0.591929\pi\) | |||||||
\(744\) | −202.244 | + | 577.981i | −0.271834 | + | 0.776856i | ||||
\(745\) | 541.421 | + | 678.920i | 0.726739 | + | 0.911302i | ||||
\(746\) | −398.032 | − | 44.8475i | −0.533555 | − | 0.0601172i | ||||
\(747\) | 19.6325 | − | 40.7673i | 0.0262818 | − | 0.0545747i | ||||
\(748\) | 51.2210 | − | 224.414i | 0.0684773 | − | 0.300019i | ||||
\(749\) | 158.105 | + | 692.703i | 0.211088 | + | 0.924837i | ||||
\(750\) | 560.095 | − | 269.727i | 0.746793 | − | 0.359636i | ||||
\(751\) | −322.426 | − | 921.441i | −0.429329 | − | 1.22695i | −0.931995 | − | 0.362471i | \(-0.881933\pi\) |
0.502666 | − | 0.864481i | \(-0.332353\pi\) | |||||||
\(752\) | −176.926 | + | 281.575i | −0.235273 | + | 0.374435i | ||||
\(753\) | 444.786i | 0.590685i | ||||||||
\(754\) | −228.063 | − | 777.754i | −0.302471 | − | 1.03150i | ||||
\(755\) | 1727.77 | 2.28844 | ||||||||
\(756\) | −435.566 | − | 273.684i | −0.576145 | − | 0.362016i | ||||
\(757\) | 804.590 | − | 281.538i | 1.06287 | − | 0.371913i | 0.258478 | − | 0.966017i | \(-0.416779\pi\) |
0.804388 | + | 0.594104i | \(0.202493\pi\) | |||||||
\(758\) | −480.104 | − | 996.947i | −0.633383 | − | 1.31523i | ||||
\(759\) | −766.137 | + | 174.866i | −1.00940 | + | 0.230390i | ||||
\(760\) | 406.497 | + | 92.7803i | 0.534865 | + | 0.122079i | ||||
\(761\) | 327.551 | + | 157.740i | 0.430422 | + | 0.207280i | 0.636535 | − | 0.771248i | \(-0.280367\pi\) |
−0.206113 | + | 0.978528i | \(0.566081\pi\) | |||||||
\(762\) | 112.214 | − | 995.926i | 0.147262 | − | 1.30699i | ||||
\(763\) | −94.5805 | + | 75.4254i | −0.123959 | + | 0.0988538i | ||||
\(764\) | −23.3857 | − | 8.18302i | −0.0306096 | − | 0.0107108i | ||||
\(765\) | 6.04623 | + | 53.6618i | 0.00790357 | + | 0.0701461i | ||||
\(766\) | 494.099 | + | 494.099i | 0.645038 | + | 0.645038i | ||||
\(767\) | −306.338 | − | 244.297i | −0.399398 | − | 0.318509i | ||||
\(768\) | 489.512 | + | 779.055i | 0.637386 | + | 1.01439i | ||||
\(769\) | −350.812 | + | 220.430i | −0.456192 | + | 0.286644i | −0.740460 | − | 0.672100i | \(-0.765392\pi\) |
0.284268 | + | 0.958745i | \(0.408249\pi\) | |||||||
\(770\) | 828.859 | − | 1039.36i | 1.07644 | − | 1.34981i | ||||
\(771\) | −192.084 | + | 192.084i | −0.249136 | + | 0.249136i | ||||
\(772\) | −222.332 | + | 25.0508i | −0.287995 | + | 0.0324493i | ||||
\(773\) | −229.136 | + | 654.833i | −0.296424 | + | 0.847132i | 0.695297 | + | 0.718722i | \(0.255273\pi\) |
−0.991721 | + | 0.128409i | \(0.959013\pi\) | |||||||
\(774\) | 43.1392 | + | 54.0948i | 0.0557354 | + | 0.0698900i | ||||
\(775\) | 436.874 | + | 49.2239i | 0.563709 | + | 0.0635147i | ||||
\(776\) | −79.3036 | + | 164.676i | −0.102195 | + | 0.212211i | ||||
\(777\) | 424.517 | − | 1859.93i | 0.546354 | − | 2.39373i | ||||
\(778\) | −46.2401 | − | 202.591i | −0.0594345 | − | 0.260400i | ||||
\(779\) | −500.806 | + | 241.176i | −0.642883 | + | 0.309596i | ||||
\(780\) | −135.664 | − | 387.705i | −0.173928 | − | 0.497058i | ||||
\(781\) | 145.375 | − | 231.363i | 0.186139 | − | 0.296239i | ||||
\(782\) | 973.785i | 1.24525i | ||||||||
\(783\) | −432.437 | + | 615.623i | −0.552282 | + | 0.786236i | ||||
\(784\) | 1180.21 | 1.50537 | ||||||||
\(785\) | 1312.82 | + | 824.899i | 1.67238 | + | 1.05083i | ||||
\(786\) | −561.713 | + | 196.552i | −0.714647 | + | 0.250066i | ||||
\(787\) | −266.444 | − | 553.276i | −0.338556 | − | 0.703019i | 0.660292 | − | 0.751009i | \(-0.270433\pi\) |
−0.998848 | + | 0.0479904i | \(0.984718\pi\) | |||||||
\(788\) | −353.908 | + | 80.7772i | −0.449122 | + | 0.102509i | ||||
\(789\) | 295.928 | + | 67.5437i | 0.375067 | + | 0.0856067i | ||||
\(790\) | 491.254 | + | 236.575i | 0.621840 | + | 0.299463i | ||||
\(791\) | −50.0028 | + | 443.787i | −0.0632146 | + | 0.561045i | ||||
\(792\) | 22.4909 | − | 17.9359i | 0.0283976 | − | 0.0226464i | ||||
\(793\) | 67.8734 | + | 23.7499i | 0.0855907 | + | 0.0299495i | ||||
\(794\) | −132.389 | − | 1174.99i | −0.166737 | − | 1.47983i | ||||
\(795\) | 767.326 | + | 767.326i | 0.965190 | + | 0.965190i | ||||
\(796\) | 223.100 | + | 177.916i | 0.280276 | + | 0.223513i | ||||
\(797\) | −750.466 | − | 1194.36i | −0.941614 | − | 1.49857i | −0.865160 | − | 0.501497i | \(-0.832783\pi\) |
−0.0764542 | − | 0.997073i | \(-0.524360\pi\) | |||||||
\(798\) | −903.687 | + | 567.824i | −1.13244 | + | 0.711559i | ||||
\(799\) | 143.362 | − | 179.770i | 0.179427 | − | 0.224994i | ||||
\(800\) | 226.538 | − | 226.538i | 0.283172 | − | 0.283172i | ||||
\(801\) | 18.0652 | − | 2.03546i | 0.0225533 | − | 0.00254114i | ||||
\(802\) | 443.527 | − | 1267.53i | 0.553027 | − | 1.58046i | ||||
\(803\) | −278.991 | − | 349.843i | −0.347435 | − | 0.435670i | ||||
\(804\) | 400.494 | + | 45.1249i | 0.498127 | + | 0.0561255i | ||||
\(805\) | −787.969 | + | 1636.23i | −0.978843 | + | 2.03259i | ||||
\(806\) | −241.089 | + | 1056.28i | −0.299117 | + | 1.31052i | ||||
\(807\) | −18.5149 | − | 81.1189i | −0.0229428 | − | 0.100519i | ||||
\(808\) | −285.648 | + | 137.561i | −0.353525 | + | 0.170248i | ||||
\(809\) | −25.5805 | − | 73.1050i | −0.0316200 | − | 0.0903646i | 0.926991 | − | 0.375083i | \(-0.122386\pi\) |
−0.958611 | + | 0.284718i | \(0.908100\pi\) | |||||||
\(810\) | −673.632 | + | 1072.08i | −0.831645 | + | 1.32356i | ||||
\(811\) | 342.716i | 0.422584i | 0.977423 | + | 0.211292i | \(0.0677672\pi\) | ||||
−0.977423 | + | 0.211292i | \(0.932233\pi\) | |||||||
\(812\) | −29.5225 | + | 574.287i | −0.0363578 | + | 0.707250i | ||||
\(813\) | 542.160 | 0.666864 | ||||||||
\(814\) | 1061.53 | + | 667.005i | 1.30409 | + | 0.819416i | ||||
\(815\) | 340.616 | − | 119.187i | 0.417934 | − | 0.146241i | ||||
\(816\) | −372.422 | − | 773.343i | −0.456400 | − | 0.947724i | ||||
\(817\) | −582.447 | + | 132.940i | −0.712910 | + | 0.162717i | ||||
\(818\) | 345.911 | + | 78.9520i | 0.422874 | + | 0.0965183i | ||||
\(819\) | −69.7827 | − | 33.6056i | −0.0852048 | − | 0.0410325i | ||||
\(820\) | −52.6255 | + | 467.064i | −0.0641775 | + | 0.569591i | ||||
\(821\) | 583.761 | − | 465.534i | 0.711036 | − | 0.567033i | −0.199782 | − | 0.979840i | \(-0.564023\pi\) |
0.910818 | + | 0.412808i | \(0.135452\pi\) | |||||||
\(822\) | 1153.04 | + | 403.467i | 1.40273 | + | 0.490836i | ||||
\(823\) | 50.1031 | + | 444.677i | 0.0608786 | + | 0.540312i | 0.986724 | + | 0.162409i | \(0.0519263\pi\) |
−0.925845 | + | 0.377903i | \(0.876645\pi\) | |||||||
\(824\) | 422.461 | + | 422.461i | 0.512695 | + | 0.512695i | ||||
\(825\) | −240.402 | − | 191.714i | −0.291397 | − | 0.232381i | ||||
\(826\) | 458.010 | + | 728.919i | 0.554492 | + | 0.882469i | ||||
\(827\) | −450.290 | + | 282.936i | −0.544486 | + | 0.342123i | −0.776025 | − | 0.630702i | \(-0.782767\pi\) |
0.231539 | + | 0.972826i | \(0.425624\pi\) | |||||||
\(828\) | 22.3416 | − | 28.0155i | 0.0269826 | − | 0.0338351i | ||||
\(829\) | 626.306 | − | 626.306i | 0.755496 | − | 0.755496i | −0.220004 | − | 0.975499i | \(-0.570607\pi\) |
0.975499 | + | 0.220004i | \(0.0706069\pi\) | |||||||
\(830\) | 1016.63 | − | 114.546i | 1.22485 | − | 0.138008i | ||||
\(831\) | −444.988 | + | 1271.70i | −0.535485 | + | 1.53033i | ||||
\(832\) | −81.0366 | − | 101.617i | −0.0973997 | − | 0.122135i | ||||
\(833\) | −810.908 | − | 91.3674i | −0.973479 | − | 0.109685i | ||||
\(834\) | −360.361 | + | 748.298i | −0.432088 | + | 0.897240i | ||||
\(835\) | 246.913 | − | 1081.80i | 0.295704 | − | 1.29556i | ||||
\(836\) | −50.3979 | − | 220.808i | −0.0602846 | − | 0.264124i | ||||
\(837\) | 906.081 | − | 436.346i | 1.08253 | − | 0.521321i | ||||
\(838\) | −152.920 | − | 437.020i | −0.182482 | − | 0.521504i | ||||
\(839\) | 617.246 | − | 982.342i | 0.735693 | − | 1.17085i | −0.243889 | − | 0.969803i | \(-0.578423\pi\) |
0.979582 | − | 0.201046i | \(-0.0644339\pi\) | |||||||
\(840\) | − | 989.751i | − | 1.17828i | ||||||
\(841\) | 836.567 | + | 86.2392i | 0.994729 | + | 0.102544i | ||||
\(842\) | −1024.95 | −1.21728 | ||||||||
\(843\) | −1040.48 | − | 653.779i | −1.23426 | − | 0.775539i | ||||
\(844\) | −100.823 | + | 35.2794i | −0.119458 | + | 0.0418002i | ||||
\(845\) | −96.2070 | − | 199.776i | −0.113854 | − | 0.236421i | ||||
\(846\) | −25.5447 | + | 5.83041i | −0.0301947 | + | 0.00689174i | ||||
\(847\) | −454.042 | − | 103.632i | −0.536059 | − | 0.122352i | ||||
\(848\) | −1043.84 | − | 502.685i | −1.23094 | − | 0.592789i | ||||
\(849\) | −56.1865 | + | 498.669i | −0.0661797 | + | 0.587361i | ||||
\(850\) | −297.898 | + | 237.566i | −0.350468 | + | 0.279489i | ||||
\(851\) | −1616.57 | − | 565.662i | −1.89961 | − | 0.664702i | ||||
\(852\) | 20.7689 | + | 184.329i | 0.0243766 | + | 0.216348i | ||||
\(853\) | −735.868 | − | 735.868i | −0.862682 | − | 0.862682i | 0.128967 | − | 0.991649i | \(-0.458834\pi\) |
−0.991649 | + | 0.128967i | \(0.958834\pi\) | |||||||
\(854\) | −123.522 | − | 98.5053i | −0.144639 | − | 0.115346i | ||||
\(855\) | 28.2688 | + | 44.9895i | 0.0330629 | + | 0.0526193i | ||||
\(856\) | −294.346 | + | 184.950i | −0.343862 | + | 0.216063i | ||||
\(857\) | −900.939 | + | 1129.74i | −1.05127 | + | 1.31825i | −0.105143 | + | 0.994457i | \(0.533530\pi\) |
−0.946127 | + | 0.323795i | \(0.895041\pi\) | |||||||
\(858\) | 535.822 | − | 535.822i | 0.624501 | − | 0.624501i | ||||
\(859\) | 513.758 | − | 57.8866i | 0.598088 | − | 0.0673883i | 0.192270 | − | 0.981342i | \(-0.438415\pi\) |
0.405818 | + | 0.913954i | \(0.366987\pi\) | |||||||
\(860\) | −166.848 | + | 476.825i | −0.194009 | + | 0.554447i | ||||
\(861\) | 822.679 | + | 1031.61i | 0.955493 | + | 1.19815i | ||||
\(862\) | −255.474 | − | 28.7850i | −0.296374 | − | 0.0333933i | ||||
\(863\) | 306.543 | − | 636.543i | 0.355206 | − | 0.737594i | −0.644427 | − | 0.764666i | \(-0.722904\pi\) |
0.999633 | + | 0.0270721i | \(0.00861838\pi\) | |||||||
\(864\) | 163.075 | − | 714.479i | 0.188744 | − | 0.826944i | ||||
\(865\) | 32.7152 | + | 143.335i | 0.0378211 | + | 0.165705i | ||||
\(866\) | −1681.67 | + | 809.851i | −1.94188 | + | 0.935162i | ||||
\(867\) | −100.465 | − | 287.111i | −0.115876 | − | 0.331155i | ||||
\(868\) | 408.970 | − | 650.872i | 0.471164 | − | 0.749853i | ||||
\(869\) | 324.823i | 0.373790i | ||||||||
\(870\) | 1318.11 | + | 67.7607i | 1.51507 | + | 0.0778859i | ||||
\(871\) | −782.061 | −0.897889 | ||||||||
\(872\) | −50.1155 | − | 31.4897i | −0.0574719 | − | 0.0361120i | ||||
\(873\) | −21.9848 | + | 7.69280i | −0.0251830 | + | 0.00881192i | ||||
\(874\) | 415.720 | + | 863.252i | 0.475652 | + | 0.987702i | ||||
\(875\) | 834.405 | − | 190.447i | 0.953605 | − | 0.217654i | ||||
\(876\) | 296.151 | + | 67.5946i | 0.338072 | + | 0.0771628i | ||||
\(877\) | 1111.88 | + | 535.454i | 1.26782 | + | 0.610552i | 0.942233 | − | 0.334959i | \(-0.108722\pi\) |
0.325591 | + | 0.945511i | \(0.394437\pi\) | |||||||
\(878\) | −143.420 | + | 1272.89i | −0.163349 | + | 1.44976i | ||||
\(879\) | 1280.48 | − | 1021.15i | 1.45675 | − | 1.16172i | ||||
\(880\) | 992.934 | + | 347.443i | 1.12833 | + | 0.394821i | ||||
\(881\) | −117.244 | − | 1040.57i | −0.133080 | − | 1.18112i | −0.865729 | − | 0.500514i | \(-0.833145\pi\) |
0.732648 | − | 0.680607i | \(-0.238284\pi\) | |||||||
\(882\) | 65.7535 | + | 65.7535i | 0.0745505 | + | 0.0745505i | ||||
\(883\) | 1077.75 | + | 859.480i | 1.22056 | + | 0.973364i | 0.999998 | − | 0.00200940i | \(-0.000639611\pi\) |
0.220561 | + | 0.975373i | \(0.429211\pi\) | |||||||
\(884\) | −161.325 | − | 256.747i | −0.182494 | − | 0.290438i | ||||
\(885\) | 540.260 | − | 339.468i | 0.610463 | − | 0.383579i | ||||
\(886\) | 362.210 | − | 454.197i | 0.408815 | − | 0.512638i | ||||
\(887\) | −763.056 | + | 763.056i | −0.860266 | + | 0.860266i | −0.991369 | − | 0.131103i | \(-0.958148\pi\) |
0.131103 | + | 0.991369i | \(0.458148\pi\) | |||||||
\(888\) | 927.527 | − | 104.507i | 1.04451 | − | 0.117688i | ||||
\(889\) | 455.722 | − | 1302.38i | 0.512623 | − | 1.46499i | ||||
\(890\) | 256.277 | + | 321.361i | 0.287952 | + | 0.361080i | ||||
\(891\) | −749.543 | − | 84.4532i | −0.841238 | − | 0.0947847i | ||||
\(892\) | −111.265 | + | 231.045i | −0.124737 | + | 0.259019i | ||||
\(893\) | 50.3432 | − | 220.568i | 0.0563753 | − | 0.246996i | ||||
\(894\) | −241.997 | − | 1060.26i | −0.270690 | − | 1.18597i | ||||
\(895\) | −612.591 | + | 295.008i | −0.684459 | + | 0.329618i | ||||
\(896\) | 482.228 | + | 1378.13i | 0.538201 | + | 1.53809i | ||||
\(897\) | −550.754 | + | 876.520i | −0.613995 | + | 0.977168i | ||||
\(898\) | 741.736i | 0.825986i | ||||||||
\(899\) | −919.934 | − | 646.197i | −1.02329 | − | 0.718796i | ||||
\(900\) | 14.0209 | 0.0155788 | ||||||||
\(901\) | 678.292 | + | 426.199i | 0.752821 | + | 0.473029i | ||||
\(902\) | −818.439 | + | 286.384i | −0.907361 | + | 0.317499i | ||||
\(903\) | 615.317 | + | 1277.72i | 0.681414 | + | 1.41497i | ||||
\(904\) | −213.024 | + | 48.6213i | −0.235646 | + | 0.0537846i | ||||
\(905\) | −1186.14 | − | 270.730i | −1.31066 | − | 0.299149i | ||||
\(906\) | −1949.52 | − | 938.842i | −2.15179 | − | 1.03625i | ||||
\(907\) | 19.3797 | − | 171.999i | 0.0213668 | − | 0.189635i | −0.978495 | − | 0.206271i | \(-0.933867\pi\) |
0.999862 | + | 0.0166359i | \(0.00529562\pi\) | |||||||
\(908\) | 252.688 | − | 201.512i | 0.278291 | − | 0.221930i | ||||
\(909\) | −38.1350 | − | 13.3440i | −0.0419527 | − | 0.0146799i | ||||
\(910\) | −196.073 | − | 1740.19i | −0.215465 | − | 1.91230i | ||||
\(911\) | 462.418 | + | 462.418i | 0.507594 | + | 0.507594i | 0.913787 | − | 0.406193i | \(-0.133144\pi\) |
−0.406193 | + | 0.913787i | \(0.633144\pi\) | |||||||
\(912\) | −660.298 | − | 526.570i | −0.724011 | − | 0.577380i | ||||
\(913\) | 324.257 | + | 516.053i | 0.355156 | + | 0.565227i | ||||
\(914\) | 860.667 | − | 540.793i | 0.941648 | − | 0.591677i | ||||
\(915\) | −73.0101 | + | 91.5517i | −0.0797924 | + | 0.100057i | ||||
\(916\) | −210.919 | + | 210.919i | −0.230261 | + | 0.230261i | ||||
\(917\) | −814.159 | + | 91.7337i | −0.887850 | + | 0.100037i | ||||
\(918\) | −287.870 | + | 822.686i | −0.313584 | + | 0.896172i | ||||
\(919\) | 50.4859 | + | 63.3073i | 0.0549356 | + | 0.0688871i | 0.808540 | − | 0.588441i | \(-0.200258\pi\) |
−0.753605 | + | 0.657328i | \(0.771687\pi\) | |||||||
\(920\) | −882.954 | − | 99.4851i | −0.959733 | − | 0.108136i | ||||
\(921\) | 501.610 | − | 1041.60i | 0.544637 | − | 1.13095i | ||||
\(922\) | 321.679 | − | 1409.37i | 0.348893 | − | 1.52860i | ||||
\(923\) | −80.0955 | − | 350.921i | −0.0867774 | − | 0.380196i | ||||
\(924\) | −484.387 | + | 233.269i | −0.524229 | + | 0.252455i | ||||
\(925\) | −221.334 | − | 632.536i | −0.239280 | − | 0.683823i | ||||
\(926\) | 1168.61 | − | 1859.83i | 1.26200 | − | 2.00846i | ||||
\(927\) | 76.1352i | 0.0821307i | ||||||||
\(928\) | −786.132 | + | 230.520i | −0.847125 | + | 0.248405i | ||||
\(929\) | −101.318 | −0.109061 | −0.0545307 | − | 0.998512i | \(-0.517366\pi\) | ||||
−0.0545307 | + | 0.998512i | \(0.517366\pi\) | |||||||
\(930\) | −1493.90 | − | 938.677i | −1.60634 | − | 1.00933i | ||||
\(931\) | −757.869 | + | 265.190i | −0.814037 | + | 0.284844i | ||||
\(932\) | 245.043 | + | 508.837i | 0.262922 | + | 0.545962i | ||||
\(933\) | 872.864 | − | 199.225i | 0.935545 | − | 0.213532i | ||||
\(934\) | 1692.45 | + | 386.290i | 1.81204 | + | 0.413586i | ||||
\(935\) | −655.336 | − | 315.593i | −0.700894 | − | 0.337533i | ||||
\(936\) | 4.24288 | − | 37.6566i | 0.00453299 | − | 0.0402314i | ||||
\(937\) | 388.710 | − | 309.986i | 0.414846 | − | 0.330828i | −0.393724 | − | 0.919229i | \(-0.628813\pi\) |
0.808570 | + | 0.588400i | \(0.200242\pi\) | |||||||
\(938\) | 1621.84 | + | 567.506i | 1.72904 | + | 0.605018i | ||||
\(939\) | 65.3162 | + | 579.697i | 0.0695593 | + | 0.617356i | ||||
\(940\) | −135.273 | − | 135.273i | −0.143907 | − | 0.143907i | ||||
\(941\) | −731.701 | − | 583.512i | −0.777578 | − | 0.620098i | 0.152144 | − | 0.988358i | \(-0.451382\pi\) |
−0.929723 | + | 0.368260i | \(0.879954\pi\) | |||||||
\(942\) | −1033.08 | − | 1644.14i | −1.09669 | − | 1.74537i | ||||
\(943\) | 1002.99 | − | 630.218i | 1.06361 | − | 0.668311i | ||||
\(944\) | −424.735 | + | 532.600i | −0.449931 | + | 0.564195i | ||||
\(945\) | −1149.41 | + | 1149.41i | −1.21630 | + | 1.21630i | ||||
\(946\) | −926.090 | + | 104.345i | −0.978953 | + | 0.110302i | ||||
\(947\) | −166.393 | + | 475.524i | −0.175705 | + | 0.502137i | −0.997732 | − | 0.0673119i | \(-0.978558\pi\) |
0.822027 | + | 0.569449i | \(0.192843\pi\) | |||||||
\(948\) | −137.486 | − | 172.402i | −0.145027 | − | 0.181858i | ||||
\(949\) | −585.742 | − | 65.9973i | −0.617221 | − | 0.0695441i | ||||
\(950\) | −162.664 | + | 337.776i | −0.171226 | + | 0.355554i | ||||
\(951\) | −388.458 | + | 1701.95i | −0.408473 | + | 1.78964i | ||||
\(952\) | −162.584 | − | 712.325i | −0.170781 | − | 0.748241i | ||||
\(953\) | −1199.61 | + | 577.703i | −1.25878 | + | 0.606195i | −0.939851 | − | 0.341585i | \(-0.889036\pi\) |
−0.318925 | + | 0.947780i | \(0.603322\pi\) | |||||||
\(954\) | −30.1494 | − | 86.1621i | −0.0316032 | − | 0.0903166i | ||||
\(955\) | −41.6531 | + | 66.2906i | −0.0436158 | + | 0.0694142i | ||||
\(956\) | − | 490.943i | − | 0.513539i | ||||||
\(957\) | 304.335 | + | 724.994i | 0.318009 | + | 0.757570i | ||||
\(958\) | 27.5463 | 0.0287539 | ||||||||
\(959\) | 1424.04 | + | 894.782i | 1.48492 | + | 0.933037i | ||||
\(960\) | 199.775 | − | 69.9045i | 0.208099 | − | 0.0728171i | ||||
\(961\) | 235.076 | + | 488.140i | 0.244616 | + | 0.507950i | ||||
\(962\) | 1610.09 | − | 367.492i | 1.67369 | − | 0.382008i | ||||
\(963\) | −43.1890 | − | 9.85761i | −0.0448484 | − | 0.0102364i | ||||
\(964\) | −41.0190 | − | 19.7537i | −0.0425508 | − | 0.0204914i | ||||
\(965\) | −79.1588 | + | 702.554i | −0.0820298 | + | 0.728035i | ||||
\(966\) | 1778.21 | − | 1418.07i | 1.84079 | − | 1.46798i | ||||
\(967\) | 1724.68 | + | 603.491i | 1.78354 | + | 0.624086i | 0.999996 | + | 0.00274474i | \(0.000873680\pi\) |
0.783540 | + | 0.621342i | \(0.213412\pi\) | |||||||
\(968\) | −25.5121 | − | 226.426i | −0.0263554 | − | 0.233911i | ||||
\(969\) | 412.918 | + | 412.918i | 0.426128 | + | 0.426128i | ||||
\(970\) | −411.733 | − | 328.346i | −0.424467 | − | 0.338501i | ||||
\(971\) | −223.862 | − | 356.274i | −0.230548 | − | 0.366915i | 0.711337 | − | 0.702851i | \(-0.248090\pi\) |
−0.941885 | + | 0.335936i | \(0.890947\pi\) | |||||||
\(972\) | 56.4209 | − | 35.4516i | 0.0580462 | − | 0.0364729i | ||||
\(973\) | −712.930 | + | 893.986i | −0.732713 | + | 0.918793i | ||||
\(974\) | −1380.37 | + | 1380.37i | −1.41721 | + | 1.41721i | ||||
\(975\) | −402.505 | + | 45.3515i | −0.412826 | + | 0.0465143i | ||||
\(976\) | 41.2916 | − | 118.005i | 0.0423070 | − | 0.120906i | ||||
\(977\) | −424.792 | − | 532.672i | −0.434792 | − | 0.545212i | 0.515370 | − | 0.856968i | \(-0.327654\pi\) |
−0.950162 | + | 0.311756i | \(0.899083\pi\) | |||||||
\(978\) | −449.098 | − | 50.6012i | −0.459200 | − | 0.0517394i | ||||
\(979\) | −106.244 | + | 220.618i | −0.108523 | + | 0.225350i | ||||
\(980\) | −151.079 | + | 661.918i | −0.154162 | + | 0.675427i | ||||
\(981\) | −1.67836 | − | 7.35338i | −0.00171087 | − | 0.00749580i | ||||
\(982\) | 814.226 | − | 392.111i | 0.829151 | − | 0.399298i | ||||
\(983\) | −210.468 | − | 601.483i | −0.214108 | − | 0.611885i | 0.785871 | − | 0.618391i | \(-0.212215\pi\) |
−0.999979 | + | 0.00650528i | \(0.997929\pi\) | |||||||
\(984\) | −343.464 | + | 546.619i | −0.349048 | + | 0.555507i | ||||
\(985\) | 1147.08i | 1.16455i | ||||||||
\(986\) | 959.780 | − | 167.755i | 0.973408 | − | 0.170137i | ||||
\(987\) | −537.045 | −0.544119 | ||||||||
\(988\) | −252.621 | − | 158.732i | −0.255689 | − | 0.160660i | ||||
\(989\) | 1201.70 | − | 420.492i | 1.21506 | − | 0.425169i | ||||
\(990\) | 35.9626 | + | 74.6770i | 0.0363258 | + | 0.0754314i | ||||
\(991\) | −1115.91 | + | 254.699i | −1.12604 | + | 0.257012i | −0.744686 | − | 0.667415i | \(-0.767401\pi\) |
−0.381358 | + | 0.924427i | \(0.624543\pi\) | |||||||
\(992\) | 1067.66 | + | 243.686i | 1.07627 | + | 0.245651i | ||||
\(993\) | 1191.74 | + | 573.912i | 1.20014 | + | 0.577958i | ||||
\(994\) | −88.5455 | + | 785.863i | −0.0890800 | + | 0.790607i | ||||
\(995\) | 704.980 | − | 562.203i | 0.708522 | − | 0.565028i | ||||
\(996\) | −390.527 | − | 136.651i | −0.392096 | − | 0.137200i | ||||
\(997\) | 45.1114 | + | 400.375i | 0.0452472 | + | 0.401580i | 0.995839 | + | 0.0911349i | \(0.0290494\pi\) |
−0.950591 | + | 0.310445i | \(0.899522\pi\) | |||||||
\(998\) | 825.868 | + | 825.868i | 0.827523 | + | 0.827523i | ||||
\(999\) | −1198.51 | − | 955.780i | −1.19971 | − | 0.956737i |
(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 | 29.3.f.a.3.4 | ✓ | 48 | |
3.2 | odd | 2 | 261.3.s.a.235.1 | 48 | |||
29.10 | odd | 28 | inner | 29.3.f.a.10.4 | yes | 48 | |
87.68 | even | 28 | 261.3.s.a.10.1 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.3.4 | ✓ | 48 | 1.1 | even | 1 | trivial | |
29.3.f.a.10.4 | yes | 48 | 29.10 | odd | 28 | inner | |
261.3.s.a.10.1 | 48 | 87.68 | even | 28 | |||
261.3.s.a.235.1 | 48 | 3.2 | odd | 2 |