Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,4,Mod(7,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.7");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.f (of order \(9\), degree \(6\), 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: | \(4.36614134042\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 71.1 | ||
Character | \(\chi\) | \(=\) | 74.71 |
Dual form | 74.4.f.b.49.1 |
$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.53209 | + | 1.28558i | 0.541675 | + | 0.454519i | ||||
\(3\) | −7.21877 | + | 6.05727i | −1.38925 | + | 1.16572i | −0.423612 | + | 0.905844i | \(0.639238\pi\) |
−0.965641 | + | 0.259878i | \(0.916317\pi\) | |||||||
\(4\) | 0.694593 | + | 3.93923i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 11.5648 | + | 4.20923i | 1.03438 | + | 0.376485i | 0.802749 | − | 0.596318i | \(-0.203370\pi\) |
0.231636 | + | 0.972803i | \(0.425592\pi\) | |||||||
\(6\) | −18.8469 | −1.28237 | ||||||||
\(7\) | −26.9521 | − | 9.80975i | −1.45527 | − | 0.529677i | −0.511215 | − | 0.859453i | \(-0.670804\pi\) |
−0.944059 | + | 0.329776i | \(0.893027\pi\) | |||||||
\(8\) | −4.00000 | + | 6.92820i | −0.176777 | + | 0.306186i | ||||
\(9\) | 10.7317 | − | 60.8623i | 0.397469 | − | 2.25416i | ||||
\(10\) | 12.3070 | + | 21.3163i | 0.389180 | + | 0.674080i | ||||
\(11\) | −21.0621 | + | 36.4806i | −0.577315 | + | 0.999938i | 0.418471 | + | 0.908230i | \(0.362566\pi\) |
−0.995786 | + | 0.0917084i | \(0.970767\pi\) | |||||||
\(12\) | −28.8751 | − | 24.2291i | −0.694627 | − | 0.582861i | ||||
\(13\) | −2.03529 | − | 11.5427i | −0.0434221 | − | 0.246259i | 0.955369 | − | 0.295415i | \(-0.0954579\pi\) |
−0.998791 | + | 0.0491561i | \(0.984347\pi\) | |||||||
\(14\) | −28.6818 | − | 49.6783i | −0.547538 | − | 0.948363i | ||||
\(15\) | −108.980 | + | 39.6654i | −1.87590 | + | 0.682771i | ||||
\(16\) | −15.0351 | + | 5.47232i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −17.2125 | + | 97.6167i | −0.245567 | + | 1.39268i | 0.573606 | + | 0.819131i | \(0.305544\pi\) |
−0.819173 | + | 0.573547i | \(0.805567\pi\) | |||||||
\(18\) | 94.6849 | − | 79.4501i | 1.23986 | − | 1.04036i | ||||
\(19\) | 55.5480 | − | 46.6103i | 0.670715 | − | 0.562797i | −0.242562 | − | 0.970136i | \(-0.577988\pi\) |
0.913277 | + | 0.407339i | \(0.133543\pi\) | |||||||
\(20\) | −8.54833 | + | 48.4800i | −0.0955732 | + | 0.542023i | ||||
\(21\) | 253.981 | − | 92.4415i | 2.63920 | − | 0.960590i | ||||
\(22\) | −79.1676 | + | 28.8147i | −0.767209 | + | 0.279241i | ||||
\(23\) | 90.5515 | + | 156.840i | 0.820926 | + | 1.42189i | 0.904993 | + | 0.425426i | \(0.139876\pi\) |
−0.0840671 | + | 0.996460i | \(0.526791\pi\) | |||||||
\(24\) | −13.0909 | − | 74.2422i | −0.111340 | − | 0.631443i | ||||
\(25\) | 20.2706 | + | 17.0091i | 0.162165 | + | 0.136073i | ||||
\(26\) | 11.7208 | − | 20.3010i | 0.0884089 | − | 0.153129i | ||||
\(27\) | 163.973 | + | 284.010i | 1.16877 | + | 2.02436i | ||||
\(28\) | 19.9222 | − | 112.984i | 0.134462 | − | 0.762571i | ||||
\(29\) | −22.5819 | + | 39.1130i | −0.144598 | + | 0.250452i | −0.929223 | − | 0.369519i | \(-0.879522\pi\) |
0.784625 | + | 0.619971i | \(0.212856\pi\) | |||||||
\(30\) | −217.960 | − | 79.3309i | −1.32646 | − | 0.482792i | ||||
\(31\) | −92.9941 | −0.538782 | −0.269391 | − | 0.963031i | \(-0.586822\pi\) | ||||
−0.269391 | + | 0.963031i | \(0.586822\pi\) | |||||||
\(32\) | −30.0702 | − | 10.9446i | −0.166116 | − | 0.0604612i | ||||
\(33\) | −68.9305 | − | 390.924i | −0.363614 | − | 2.06216i | ||||
\(34\) | −151.865 | + | 127.430i | −0.766017 | + | 0.642764i | ||||
\(35\) | −270.403 | − | 226.895i | −1.30590 | − | 1.09578i | ||||
\(36\) | 247.205 | 1.14447 | ||||||||
\(37\) | 36.5867 | + | 222.068i | 0.162563 | + | 0.986698i | ||||
\(38\) | 145.026 | 0.619112 | ||||||||
\(39\) | 84.6095 | + | 70.9958i | 0.347394 | + | 0.291498i | ||||
\(40\) | −75.4215 | + | 63.2861i | −0.298130 | + | 0.250160i | ||||
\(41\) | 56.4868 | + | 320.352i | 0.215165 | + | 1.22026i | 0.880621 | + | 0.473822i | \(0.157126\pi\) |
−0.665456 | + | 0.746437i | \(0.731763\pi\) | |||||||
\(42\) | 507.962 | + | 184.883i | 1.86620 | + | 0.679240i | ||||
\(43\) | 21.1219 | 0.0749083 | 0.0374541 | − | 0.999298i | \(-0.488075\pi\) | ||||
0.0374541 | + | 0.999298i | \(0.488075\pi\) | |||||||
\(44\) | −158.335 | − | 57.6293i | −0.542498 | − | 0.197453i | ||||
\(45\) | 380.293 | − | 658.686i | 1.25979 | − | 2.18203i | ||||
\(46\) | −62.8964 | + | 356.703i | −0.201599 | + | 1.14333i | ||||
\(47\) | −135.048 | − | 233.910i | −0.419123 | − | 0.725942i | 0.576728 | − | 0.816936i | \(-0.304329\pi\) |
−0.995851 | + | 0.0909935i | \(0.970996\pi\) | |||||||
\(48\) | 75.3875 | − | 130.575i | 0.226693 | − | 0.392643i | ||||
\(49\) | 367.429 | + | 308.310i | 1.07122 | + | 0.898862i | ||||
\(50\) | 9.18996 | + | 52.1188i | 0.0259931 | + | 0.147414i | ||||
\(51\) | −467.038 | − | 808.933i | −1.28232 | − | 2.22105i | ||||
\(52\) | 44.0556 | − | 16.0349i | 0.117489 | − | 0.0427624i | ||||
\(53\) | 71.7240 | − | 26.1054i | 0.185888 | − | 0.0676576i | −0.247399 | − | 0.968914i | \(-0.579576\pi\) |
0.433287 | + | 0.901256i | \(0.357354\pi\) | |||||||
\(54\) | −113.895 | + | 645.929i | −0.287021 | + | 1.62778i | ||||
\(55\) | −397.134 | + | 333.235i | −0.973627 | + | 0.816970i | ||||
\(56\) | 175.772 | − | 147.490i | 0.419438 | − | 0.351950i | ||||
\(57\) | −118.657 | + | 672.939i | −0.275729 | + | 1.56374i | ||||
\(58\) | −84.8802 | + | 30.8939i | −0.192161 | + | 0.0699408i | ||||
\(59\) | 736.468 | − | 268.053i | 1.62508 | − | 0.591482i | 0.640743 | − | 0.767755i | \(-0.278626\pi\) |
0.984341 | + | 0.176273i | \(0.0564041\pi\) | |||||||
\(60\) | −231.948 | − | 401.746i | −0.499072 | − | 0.864419i | ||||
\(61\) | −90.2004 | − | 511.552i | −0.189327 | − | 1.07373i | −0.920268 | − | 0.391288i | \(-0.872029\pi\) |
0.730941 | − | 0.682441i | \(-0.239082\pi\) | |||||||
\(62\) | −142.475 | − | 119.551i | −0.291845 | − | 0.244887i | ||||
\(63\) | −886.284 | + | 1535.09i | −1.77240 | + | 3.06989i | ||||
\(64\) | −32.0000 | − | 55.4256i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 25.0482 | − | 142.056i | 0.0477977 | − | 0.271074i | ||||
\(66\) | 396.955 | − | 687.546i | 0.740330 | − | 1.28229i | ||||
\(67\) | −15.0288 | − | 5.47005i | −0.0274039 | − | 0.00997422i | 0.328282 | − | 0.944580i | \(-0.393530\pi\) |
−0.355686 | + | 0.934606i | \(0.615753\pi\) | |||||||
\(68\) | −396.490 | −0.707081 | ||||||||
\(69\) | −1603.69 | − | 583.696i | −2.79800 | − | 1.01839i | ||||
\(70\) | −122.591 | − | 695.246i | −0.209320 | − | 1.18711i | ||||
\(71\) | 325.470 | − | 273.102i | 0.544030 | − | 0.456496i | −0.328883 | − | 0.944371i | \(-0.606672\pi\) |
0.872914 | + | 0.487875i | \(0.162228\pi\) | |||||||
\(72\) | 378.740 | + | 317.800i | 0.619929 | + | 0.520182i | ||||
\(73\) | −36.6823 | −0.0588128 | −0.0294064 | − | 0.999568i | \(-0.509362\pi\) | ||||
−0.0294064 | + | 0.999568i | \(0.509362\pi\) | |||||||
\(74\) | −229.432 | + | 387.264i | −0.360417 | + | 0.608358i | ||||
\(75\) | −249.358 | −0.383911 | ||||||||
\(76\) | 222.192 | + | 186.441i | 0.335358 | + | 0.281398i | ||||
\(77\) | 925.533 | − | 776.614i | 1.36980 | − | 1.14939i | ||||
\(78\) | 38.3588 | + | 217.544i | 0.0556831 | + | 0.315795i | ||||
\(79\) | 246.287 | + | 89.6412i | 0.350753 | + | 0.127664i | 0.511387 | − | 0.859350i | \(-0.329132\pi\) |
−0.160634 | + | 0.987014i | \(0.551354\pi\) | |||||||
\(80\) | −196.911 | −0.275192 | ||||||||
\(81\) | −1336.01 | − | 486.269i | −1.83267 | − | 0.667036i | ||||
\(82\) | −325.294 | + | 563.426i | −0.438082 | + | 0.758781i | ||||
\(83\) | −133.018 | + | 754.384i | −0.175911 | + | 0.997643i | 0.761175 | + | 0.648546i | \(0.224623\pi\) |
−0.937087 | + | 0.349097i | \(0.886488\pi\) | |||||||
\(84\) | 540.562 | + | 936.281i | 0.702145 | + | 1.21615i | ||||
\(85\) | −609.949 | + | 1056.46i | −0.778333 | + | 1.34811i | ||||
\(86\) | 32.3606 | + | 27.1538i | 0.0405759 | + | 0.0340473i | ||||
\(87\) | −73.9044 | − | 419.133i | −0.0910734 | − | 0.516503i | ||||
\(88\) | −168.497 | − | 291.845i | −0.204112 | − | 0.353532i | ||||
\(89\) | 161.085 | − | 58.6300i | 0.191853 | − | 0.0698288i | −0.244307 | − | 0.969698i | \(-0.578560\pi\) |
0.436160 | + | 0.899869i | \(0.356338\pi\) | |||||||
\(90\) | 1429.43 | − | 520.271i | 1.67417 | − | 0.609349i | ||||
\(91\) | −58.3757 | + | 331.065i | −0.0672466 | + | 0.381374i | ||||
\(92\) | −554.932 | + | 465.643i | −0.628866 | + | 0.527681i | ||||
\(93\) | 671.303 | − | 563.290i | 0.748505 | − | 0.628070i | ||||
\(94\) | 93.8034 | − | 531.985i | 0.102926 | − | 0.583725i | ||||
\(95\) | 838.594 | − | 305.223i | 0.905662 | − | 0.329634i | ||||
\(96\) | 283.364 | − | 103.136i | 0.301258 | − | 0.109649i | ||||
\(97\) | −173.900 | − | 301.204i | −0.182030 | − | 0.315285i | 0.760542 | − | 0.649289i | \(-0.224933\pi\) |
−0.942572 | + | 0.334004i | \(0.891600\pi\) | |||||||
\(98\) | 166.579 | + | 944.715i | 0.171704 | + | 0.973782i | ||||
\(99\) | 1994.26 | + | 1673.39i | 2.02456 | + | 1.69880i | ||||
\(100\) | −52.9229 | + | 91.6651i | −0.0529229 | + | 0.0916651i | ||||
\(101\) | −839.398 | − | 1453.88i | −0.826963 | − | 1.43234i | −0.900410 | − | 0.435042i | \(-0.856733\pi\) |
0.0734473 | − | 0.997299i | \(-0.476600\pi\) | |||||||
\(102\) | 324.401 | − | 1839.77i | 0.314907 | − | 1.78592i | ||||
\(103\) | 372.703 | − | 645.541i | 0.356539 | − | 0.617544i | −0.630841 | − | 0.775912i | \(-0.717290\pi\) |
0.987380 | + | 0.158368i | \(0.0506232\pi\) | |||||||
\(104\) | 88.1113 | + | 32.0699i | 0.0830771 | + | 0.0302376i | ||||
\(105\) | 3326.34 | 3.09160 | ||||||||
\(106\) | 143.448 | + | 52.2108i | 0.131442 | + | 0.0478411i | ||||
\(107\) | 220.228 | + | 1248.98i | 0.198974 | + | 1.12844i | 0.906644 | + | 0.421897i | \(0.138635\pi\) |
−0.707670 | + | 0.706544i | \(0.750253\pi\) | |||||||
\(108\) | −1004.89 | + | 843.201i | −0.895328 | + | 0.751269i | ||||
\(109\) | 500.858 | + | 420.270i | 0.440124 | + | 0.369308i | 0.835756 | − | 0.549102i | \(-0.185030\pi\) |
−0.395632 | + | 0.918409i | \(0.629474\pi\) | |||||||
\(110\) | −1036.84 | −0.898718 | ||||||||
\(111\) | −1609.24 | − | 1381.45i | −1.37606 | − | 1.18127i | ||||
\(112\) | 458.908 | 0.387168 | ||||||||
\(113\) | 987.866 | + | 828.918i | 0.822394 | + | 0.690071i | 0.953531 | − | 0.301293i | \(-0.0974184\pi\) |
−0.131137 | + | 0.991364i | \(0.541863\pi\) | |||||||
\(114\) | −1046.91 | + | 878.459i | −0.860104 | + | 0.721713i | ||||
\(115\) | 387.032 | + | 2194.97i | 0.313834 | + | 1.77984i | ||||
\(116\) | −169.760 | − | 61.7878i | −0.135878 | − | 0.0494556i | ||||
\(117\) | −724.357 | −0.572366 | ||||||||
\(118\) | 1472.94 | + | 536.105i | 1.14911 | + | 0.418241i | ||||
\(119\) | 1421.51 | − | 2462.12i | 1.09504 | − | 1.89666i | ||||
\(120\) | 161.109 | − | 913.696i | 0.122560 | − | 0.695072i | ||||
\(121\) | −221.724 | − | 384.037i | −0.166585 | − | 0.288533i | ||||
\(122\) | 519.443 | − | 899.702i | 0.385477 | − | 0.667666i | ||||
\(123\) | −2348.23 | − | 1970.40i | −1.72140 | − | 1.44443i | ||||
\(124\) | −64.5930 | − | 366.325i | −0.0467792 | − | 0.265298i | ||||
\(125\) | −606.355 | − | 1050.24i | −0.433873 | − | 0.751489i | ||||
\(126\) | −3331.34 | + | 1212.51i | −2.35539 | + | 0.857292i | ||||
\(127\) | 626.986 | − | 228.204i | 0.438079 | − | 0.159448i | −0.113559 | − | 0.993531i | \(-0.536225\pi\) |
0.551638 | + | 0.834084i | \(0.314003\pi\) | |||||||
\(128\) | 22.2270 | − | 126.055i | 0.0153485 | − | 0.0870455i | ||||
\(129\) | −152.474 | + | 127.941i | −0.104067 | + | 0.0873222i | ||||
\(130\) | 220.999 | − | 185.440i | 0.149099 | − | 0.125109i | ||||
\(131\) | 284.329 | − | 1612.51i | 0.189633 | − | 1.07546i | −0.730223 | − | 0.683209i | \(-0.760584\pi\) |
0.919856 | − | 0.392255i | \(-0.128305\pi\) | |||||||
\(132\) | 1492.06 | − | 543.066i | 0.983843 | − | 0.358090i | ||||
\(133\) | −1954.37 | + | 711.332i | −1.27418 | + | 0.463762i | ||||
\(134\) | −15.9933 | − | 27.7013i | −0.0103106 | − | 0.0178584i | ||||
\(135\) | 700.850 | + | 3974.72i | 0.446811 | + | 2.53399i | ||||
\(136\) | −607.458 | − | 509.718i | −0.383008 | − | 0.321382i | ||||
\(137\) | −1211.82 | + | 2098.94i | −0.755716 | + | 1.30894i | 0.189301 | + | 0.981919i | \(0.439378\pi\) |
−0.945018 | + | 0.327020i | \(0.893956\pi\) | |||||||
\(138\) | −1706.61 | − | 2955.94i | −1.05273 | − | 1.82338i | ||||
\(139\) | −454.364 | + | 2576.82i | −0.277256 | + | 1.57240i | 0.454446 | + | 0.890774i | \(0.349837\pi\) |
−0.731702 | + | 0.681624i | \(0.761274\pi\) | |||||||
\(140\) | 705.971 | − | 1222.78i | 0.426182 | − | 0.738169i | ||||
\(141\) | 2391.74 | + | 870.521i | 1.42852 | + | 0.519937i | ||||
\(142\) | 849.741 | 0.502174 | ||||||||
\(143\) | 463.952 | + | 168.865i | 0.271312 | + | 0.0987495i | ||||
\(144\) | 171.707 | + | 973.797i | 0.0993673 | + | 0.563540i | ||||
\(145\) | −425.790 | + | 357.280i | −0.243862 | + | 0.204624i | ||||
\(146\) | −56.2005 | − | 47.1578i | −0.0318574 | − | 0.0267316i | ||||
\(147\) | −4519.90 | −2.53602 | ||||||||
\(148\) | −849.366 | + | 298.371i | −0.471740 | + | 0.165716i | ||||
\(149\) | 945.302 | 0.519746 | 0.259873 | − | 0.965643i | \(-0.416319\pi\) | ||||
0.259873 | + | 0.965643i | \(0.416319\pi\) | |||||||
\(150\) | −382.038 | − | 320.568i | −0.207955 | − | 0.174495i | ||||
\(151\) | −992.675 | + | 832.953i | −0.534985 | + | 0.448906i | −0.869819 | − | 0.493372i | \(-0.835764\pi\) |
0.334834 | + | 0.942277i | \(0.391320\pi\) | |||||||
\(152\) | 100.734 | + | 571.289i | 0.0537538 | + | 0.304853i | ||||
\(153\) | 5756.46 | + | 2095.18i | 3.04171 | + | 1.10709i | ||||
\(154\) | 2416.39 | 1.26441 | ||||||||
\(155\) | −1075.46 | − | 391.434i | −0.557307 | − | 0.202843i | ||||
\(156\) | −220.900 | + | 382.610i | −0.113373 | + | 0.196367i | ||||
\(157\) | −567.943 | + | 3220.97i | −0.288706 | + | 1.63733i | 0.403034 | + | 0.915185i | \(0.367956\pi\) |
−0.691739 | + | 0.722147i | \(0.743155\pi\) | |||||||
\(158\) | 262.093 | + | 453.959i | 0.131969 | + | 0.228576i | ||||
\(159\) | −359.632 | + | 622.900i | −0.179375 | + | 0.310687i | ||||
\(160\) | −301.686 | − | 253.145i | −0.149065 | − | 0.125080i | ||||
\(161\) | −901.991 | − | 5115.45i | −0.441533 | − | 2.50406i | ||||
\(162\) | −1421.76 | − | 2462.55i | −0.689529 | − | 1.19430i | ||||
\(163\) | 1966.99 | − | 715.925i | 0.945192 | − | 0.344022i | 0.176978 | − | 0.984215i | \(-0.443368\pi\) |
0.768214 | + | 0.640193i | \(0.221146\pi\) | |||||||
\(164\) | −1222.71 | + | 445.029i | −0.582179 | + | 0.211896i | ||||
\(165\) | 848.325 | − | 4811.09i | 0.400255 | − | 2.26996i | ||||
\(166\) | −1173.61 | + | 984.778i | −0.548735 | + | 0.460443i | ||||
\(167\) | −1415.48 | + | 1187.73i | −0.655885 | + | 0.550353i | −0.908850 | − | 0.417122i | \(-0.863039\pi\) |
0.252965 | + | 0.967475i | \(0.418594\pi\) | |||||||
\(168\) | −375.470 | + | 2129.40i | −0.172430 | + | 0.977897i | ||||
\(169\) | 1935.41 | − | 704.433i | 0.880935 | − | 0.320634i | ||||
\(170\) | −2292.66 | + | 834.460i | −1.03435 | + | 0.376471i | ||||
\(171\) | −2240.69 | − | 3880.99i | −1.00205 | − | 1.73559i | ||||
\(172\) | 14.6711 | + | 83.2039i | 0.00650384 | + | 0.0368851i | ||||
\(173\) | −1553.78 | − | 1303.77i | −0.682841 | − | 0.572971i | 0.233994 | − | 0.972238i | \(-0.424820\pi\) |
−0.916835 | + | 0.399267i | \(0.869265\pi\) | |||||||
\(174\) | 425.599 | − | 737.158i | 0.185428 | − | 0.321171i | ||||
\(175\) | −379.480 | − | 657.279i | −0.163920 | − | 0.283918i | ||||
\(176\) | 117.037 | − | 663.748i | 0.0501248 | − | 0.284272i | ||||
\(177\) | −3692.73 | + | 6396.00i | −1.56815 | + | 2.71612i | ||||
\(178\) | 322.169 | + | 117.260i | 0.135661 | + | 0.0493764i | ||||
\(179\) | −901.636 | −0.376488 | −0.188244 | − | 0.982122i | \(-0.560280\pi\) | ||||
−0.188244 | + | 0.982122i | \(0.560280\pi\) | |||||||
\(180\) | 2858.87 | + | 1040.54i | 1.18382 | + | 0.430875i | ||||
\(181\) | −296.980 | − | 1684.26i | −0.121958 | − | 0.691656i | −0.983068 | − | 0.183239i | \(-0.941342\pi\) |
0.861111 | − | 0.508417i | \(-0.169769\pi\) | |||||||
\(182\) | −515.046 | + | 432.175i | −0.209768 | + | 0.176016i | ||||
\(183\) | 3749.74 | + | 3146.41i | 1.51469 | + | 1.27098i | ||||
\(184\) | −1448.82 | −0.580482 | ||||||||
\(185\) | −511.621 | + | 2722.17i | −0.203325 | + | 1.08183i | ||||
\(186\) | 1752.65 | 0.690916 | ||||||||
\(187\) | −3198.59 | − | 2683.93i | −1.25082 | − | 1.04956i | ||||
\(188\) | 827.622 | − | 694.458i | 0.321067 | − | 0.269407i | ||||
\(189\) | −1633.35 | − | 9263.20i | −0.628619 | − | 3.56507i | ||||
\(190\) | 1677.19 | + | 610.446i | 0.640400 | + | 0.233086i | ||||
\(191\) | 1789.69 | 0.677995 | 0.338998 | − | 0.940787i | \(-0.389912\pi\) | ||||
0.338998 | + | 0.940787i | \(0.389912\pi\) | |||||||
\(192\) | 566.729 | + | 206.272i | 0.213021 | + | 0.0775335i | ||||
\(193\) | 1205.47 | − | 2087.94i | 0.449596 | − | 0.778722i | −0.548764 | − | 0.835977i | \(-0.684901\pi\) |
0.998360 | + | 0.0572550i | \(0.0182348\pi\) | |||||||
\(194\) | 120.790 | − | 685.034i | 0.0447021 | − | 0.253518i | ||||
\(195\) | 679.651 | + | 1177.19i | 0.249594 | + | 0.432310i | ||||
\(196\) | −959.289 | + | 1661.54i | −0.349595 | + | 0.605517i | ||||
\(197\) | −640.021 | − | 537.041i | −0.231470 | − | 0.194226i | 0.519674 | − | 0.854364i | \(-0.326053\pi\) |
−0.751144 | + | 0.660138i | \(0.770498\pi\) | |||||||
\(198\) | 904.126 | + | 5127.55i | 0.324512 | + | 1.84040i | ||||
\(199\) | −1369.36 | − | 2371.80i | −0.487795 | − | 0.844886i | 0.512106 | − | 0.858922i | \(-0.328865\pi\) |
−0.999901 | + | 0.0140362i | \(0.995532\pi\) | |||||||
\(200\) | −198.925 | + | 72.4027i | −0.0703306 | + | 0.0255982i | ||||
\(201\) | 141.623 | − | 51.5467i | 0.0496982 | − | 0.0180887i | ||||
\(202\) | 583.040 | − | 3306.58i | 0.203082 | − | 1.15173i | ||||
\(203\) | 992.318 | − | 832.653i | 0.343089 | − | 0.287886i | ||||
\(204\) | 2862.17 | − | 2401.65i | 0.982315 | − | 0.824260i | ||||
\(205\) | −695.181 | + | 3942.57i | −0.236847 | + | 1.34322i | ||||
\(206\) | 1400.91 | − | 509.888i | 0.473815 | − | 0.172454i | ||||
\(207\) | 10517.4 | − | 3828.02i | 3.53145 | − | 1.28534i | ||||
\(208\) | 93.7661 | + | 162.408i | 0.0312572 | + | 0.0541391i | ||||
\(209\) | 530.416 | + | 3008.14i | 0.175549 | + | 0.995585i | ||||
\(210\) | 5096.25 | + | 4276.26i | 1.67464 | + | 1.40519i | ||||
\(211\) | −688.577 | + | 1192.65i | −0.224662 | + | 0.389125i | −0.956218 | − | 0.292656i | \(-0.905461\pi\) |
0.731556 | + | 0.681781i | \(0.238794\pi\) | |||||||
\(212\) | 152.654 | + | 264.405i | 0.0494544 | + | 0.0856575i | ||||
\(213\) | −695.242 | + | 3942.92i | −0.223649 | + | 1.26838i | ||||
\(214\) | −1268.24 | + | 2196.66i | −0.405118 | + | 0.701686i | ||||
\(215\) | 244.269 | + | 88.9068i | 0.0774839 | + | 0.0282018i | ||||
\(216\) | −2623.58 | −0.826443 | ||||||||
\(217\) | 2506.38 | + | 912.249i | 0.784075 | + | 0.285380i | ||||
\(218\) | 227.071 | + | 1287.78i | 0.0705466 | + | 0.400090i | ||||
\(219\) | 264.801 | − | 222.194i | 0.0817059 | − | 0.0685594i | ||||
\(220\) | −1588.53 | − | 1332.94i | −0.486814 | − | 0.408485i | ||||
\(221\) | 1161.79 | 0.353623 | ||||||||
\(222\) | −689.546 | − | 4185.30i | −0.208465 | − | 1.26531i | ||||
\(223\) | −3752.21 | −1.12676 | −0.563378 | − | 0.826199i | \(-0.690498\pi\) | ||||
−0.563378 | + | 0.826199i | \(0.690498\pi\) | |||||||
\(224\) | 703.089 | + | 589.961i | 0.209719 | + | 0.175975i | ||||
\(225\) | 1252.75 | − | 1051.18i | 0.371185 | − | 0.311461i | ||||
\(226\) | 447.862 | + | 2539.95i | 0.131820 | + | 0.747589i | ||||
\(227\) | −3894.62 | − | 1417.52i | −1.13874 | − | 0.414469i | −0.297284 | − | 0.954789i | \(-0.596081\pi\) |
−0.841459 | + | 0.540321i | \(0.818303\pi\) | |||||||
\(228\) | −2733.28 | −0.793929 | ||||||||
\(229\) | 634.695 | + | 231.010i | 0.183152 | + | 0.0666619i | 0.431968 | − | 0.901889i | \(-0.357819\pi\) |
−0.248816 | + | 0.968551i | \(0.580041\pi\) | |||||||
\(230\) | −2228.83 | + | 3860.45i | −0.638977 | + | 1.10674i | ||||
\(231\) | −1977.05 | + | 11212.4i | −0.563118 | + | 3.19360i | ||||
\(232\) | −180.655 | − | 312.904i | −0.0511233 | − | 0.0885481i | ||||
\(233\) | 781.320 | − | 1353.29i | 0.219682 | − | 0.380501i | −0.735028 | − | 0.678036i | \(-0.762831\pi\) |
0.954711 | + | 0.297535i | \(0.0961646\pi\) | |||||||
\(234\) | −1109.78 | − | 931.215i | −0.310037 | − | 0.260152i | ||||
\(235\) | −577.218 | − | 3273.56i | −0.160228 | − | 0.908697i | ||||
\(236\) | 1567.47 | + | 2714.93i | 0.432345 | + | 0.748843i | ||||
\(237\) | −2320.87 | + | 844.729i | −0.636105 | + | 0.231523i | ||||
\(238\) | 5343.11 | − | 1944.73i | 1.45522 | − | 0.529657i | ||||
\(239\) | −163.378 | + | 926.564i | −0.0442178 | + | 0.250772i | −0.998902 | − | 0.0468491i | \(-0.985082\pi\) |
0.954684 | + | 0.297621i | \(0.0961931\pi\) | |||||||
\(240\) | 1421.46 | − | 1192.75i | 0.382312 | − | 0.320798i | ||||
\(241\) | −2076.95 | + | 1742.77i | −0.555138 | + | 0.465816i | −0.876676 | − | 0.481081i | \(-0.840244\pi\) |
0.321539 | + | 0.946896i | \(0.395800\pi\) | |||||||
\(242\) | 154.008 | − | 873.423i | 0.0409091 | − | 0.232007i | ||||
\(243\) | 4269.27 | − | 1553.89i | 1.12705 | − | 0.410214i | ||||
\(244\) | 1952.47 | − | 710.640i | 0.512270 | − | 0.186451i | ||||
\(245\) | 2951.48 | + | 5112.12i | 0.769647 | + | 1.33307i | ||||
\(246\) | −1064.60 | − | 6037.64i | −0.275920 | − | 1.56482i | ||||
\(247\) | −651.065 | − | 546.308i | −0.167718 | − | 0.140732i | ||||
\(248\) | 371.976 | − | 644.282i | 0.0952441 | − | 0.164968i | ||||
\(249\) | −3609.28 | − | 6251.45i | −0.918589 | − | 1.59104i | ||||
\(250\) | 421.170 | − | 2388.57i | 0.106549 | − | 0.604267i | ||||
\(251\) | 468.902 | − | 812.162i | 0.117916 | − | 0.204236i | −0.801026 | − | 0.598630i | \(-0.795712\pi\) |
0.918941 | + | 0.394394i | \(0.129045\pi\) | |||||||
\(252\) | −6662.68 | − | 2425.02i | −1.66551 | − | 0.606197i | ||||
\(253\) | −7628.82 | −1.89573 | ||||||||
\(254\) | 1253.97 | + | 456.408i | 0.309768 | + | 0.112746i | ||||
\(255\) | −1996.20 | − | 11321.0i | −0.490222 | − | 2.78019i | ||||
\(256\) | 196.107 | − | 164.554i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 2279.04 | + | 1912.34i | 0.553162 | + | 0.464158i | 0.876010 | − | 0.482293i | \(-0.160196\pi\) |
−0.322848 | + | 0.946451i | \(0.604640\pi\) | |||||||
\(258\) | −398.081 | −0.0960599 | ||||||||
\(259\) | 1192.35 | − | 6344.11i | 0.286058 | − | 1.52202i | ||||
\(260\) | 576.988 | 0.137628 | ||||||||
\(261\) | 2138.17 | + | 1794.13i | 0.507085 | + | 0.425495i | ||||
\(262\) | 2508.62 | − | 2104.98i | 0.591539 | − | 0.496360i | ||||
\(263\) | 306.495 | + | 1738.22i | 0.0718604 | + | 0.407541i | 0.999426 | + | 0.0338801i | \(0.0107864\pi\) |
−0.927565 | + | 0.373661i | \(0.878102\pi\) | |||||||
\(264\) | 2984.12 | + | 1086.13i | 0.695682 | + | 0.253208i | ||||
\(265\) | 939.355 | 0.217751 | ||||||||
\(266\) | −3908.74 | − | 1422.66i | −0.900978 | − | 0.327929i | ||||
\(267\) | −807.695 | + | 1398.97i | −0.185132 | + | 0.320657i | ||||
\(268\) | 11.1089 | − | 63.0015i | 0.00253202 | − | 0.0143598i | ||||
\(269\) | 2996.98 | + | 5190.92i | 0.679290 | + | 1.17656i | 0.975195 | + | 0.221347i | \(0.0710454\pi\) |
−0.295905 | + | 0.955217i | \(0.595621\pi\) | |||||||
\(270\) | −4036.03 | + | 6990.61i | −0.909723 | + | 1.57569i | ||||
\(271\) | 5950.83 | + | 4993.34i | 1.33390 | + | 1.11928i | 0.983149 | + | 0.182806i | \(0.0585181\pi\) |
0.350751 | + | 0.936469i | \(0.385926\pi\) | |||||||
\(272\) | −275.399 | − | 1561.87i | −0.0613917 | − | 0.348169i | ||||
\(273\) | −1583.95 | − | 2743.48i | −0.351154 | − | 0.608216i | ||||
\(274\) | −4554.97 | + | 1657.87i | −1.00429 | + | 0.365532i | ||||
\(275\) | −1047.44 | + | 381.238i | −0.229685 | + | 0.0835983i | ||||
\(276\) | 1185.40 | − | 6722.75i | 0.258525 | − | 1.46617i | ||||
\(277\) | 1037.17 | − | 870.285i | 0.224972 | − | 0.188774i | −0.523334 | − | 0.852128i | \(-0.675312\pi\) |
0.748306 | + | 0.663354i | \(0.230868\pi\) | |||||||
\(278\) | −4008.83 | + | 3363.81i | −0.864869 | + | 0.725711i | ||||
\(279\) | −997.982 | + | 5659.84i | −0.214149 | + | 1.21450i | ||||
\(280\) | 2653.58 | − | 965.826i | 0.566364 | − | 0.206140i | ||||
\(281\) | −7326.93 | + | 2666.78i | −1.55547 | + | 0.566146i | −0.969693 | − | 0.244325i | \(-0.921434\pi\) |
−0.585779 | + | 0.810471i | \(0.699211\pi\) | |||||||
\(282\) | 2545.23 | + | 4408.47i | 0.537470 | + | 0.930925i | ||||
\(283\) | −1273.93 | − | 7224.79i | −0.267587 | − | 1.51756i | −0.761567 | − | 0.648086i | \(-0.775570\pi\) |
0.493981 | − | 0.869473i | \(-0.335541\pi\) | |||||||
\(284\) | 1301.88 | + | 1092.41i | 0.272015 | + | 0.228248i | ||||
\(285\) | −4204.80 | + | 7282.92i | −0.873932 | + | 1.51370i | ||||
\(286\) | 493.728 | + | 855.161i | 0.102079 | + | 0.176807i | ||||
\(287\) | 1620.14 | − | 9188.28i | 0.333219 | − | 1.88978i | ||||
\(288\) | −988.819 | + | 1712.69i | −0.202315 | + | 0.350420i | ||||
\(289\) | −4616.04 | − | 1680.10i | −0.939556 | − | 0.341970i | ||||
\(290\) | −1111.66 | −0.225100 | ||||||||
\(291\) | 3079.82 | + | 1120.96i | 0.620421 | + | 0.225815i | ||||
\(292\) | −25.4792 | − | 144.500i | −0.00510637 | − | 0.0289596i | ||||
\(293\) | −787.080 | + | 660.438i | −0.156934 | + | 0.131683i | −0.717874 | − | 0.696173i | \(-0.754884\pi\) |
0.560940 | + | 0.827857i | \(0.310440\pi\) | |||||||
\(294\) | −6924.89 | − | 5810.67i | −1.37370 | − | 1.15267i | ||||
\(295\) | 9645.38 | 1.90365 | ||||||||
\(296\) | −1684.88 | − | 634.794i | −0.330851 | − | 0.124651i | ||||
\(297\) | −13814.5 | −2.69899 | ||||||||
\(298\) | 1448.29 | + | 1215.26i | 0.281533 | + | 0.236235i | ||||
\(299\) | 1626.06 | − | 1364.42i | 0.314506 | − | 0.263902i | ||||
\(300\) | −173.202 | − | 982.278i | −0.0333327 | − | 0.189039i | ||||
\(301\) | −569.278 | − | 207.200i | −0.109012 | − | 0.0396771i | ||||
\(302\) | −2591.69 | −0.493824 | ||||||||
\(303\) | 14866.0 | + | 5410.77i | 2.81857 | + | 1.02588i | ||||
\(304\) | −580.102 | + | 1004.77i | −0.109445 | + | 0.189564i | ||||
\(305\) | 1110.09 | − | 6295.65i | 0.208406 | − | 1.18193i | ||||
\(306\) | 6125.89 | + | 10610.4i | 1.14443 | + | 1.98220i | ||||
\(307\) | 4980.46 | − | 8626.41i | 0.925895 | − | 1.60370i | 0.135780 | − | 0.990739i | \(-0.456646\pi\) |
0.790115 | − | 0.612958i | \(-0.210021\pi\) | |||||||
\(308\) | 3702.13 | + | 3106.46i | 0.684898 | + | 0.574697i | ||||
\(309\) | 1219.76 | + | 6917.58i | 0.224562 | + | 1.27355i | ||||
\(310\) | −1144.48 | − | 1982.29i | −0.209683 | − | 0.363182i | ||||
\(311\) | 4293.54 | − | 1562.72i | 0.782844 | − | 0.284932i | 0.0804857 | − | 0.996756i | \(-0.474353\pi\) |
0.702358 | + | 0.711824i | \(0.252131\pi\) | |||||||
\(312\) | −830.311 | + | 302.209i | −0.150664 | + | 0.0548372i | ||||
\(313\) | −1016.41 | + | 5764.33i | −0.183549 | + | 1.04096i | 0.744257 | + | 0.667893i | \(0.232804\pi\) |
−0.927806 | + | 0.373063i | \(0.878307\pi\) | |||||||
\(314\) | −5010.94 | + | 4204.67i | −0.900584 | + | 0.755680i | ||||
\(315\) | −16711.2 | + | 14022.4i | −2.98911 | + | 2.50816i | ||||
\(316\) | −182.048 | + | 1032.45i | −0.0324083 | + | 0.183796i | ||||
\(317\) | 9451.39 | − | 3440.02i | 1.67458 | − | 0.609498i | 0.682032 | − | 0.731323i | \(-0.261097\pi\) |
0.992552 | + | 0.121824i | \(0.0388744\pi\) | |||||||
\(318\) | −1351.77 | + | 492.005i | −0.238376 | + | 0.0867619i | ||||
\(319\) | −951.245 | − | 1647.60i | −0.166958 | − | 0.289179i | ||||
\(320\) | −136.773 | − | 775.680i | −0.0238933 | − | 0.135506i | ||||
\(321\) | −9155.16 | − | 7682.09i | −1.59187 | − | 1.33574i | ||||
\(322\) | 5194.36 | − | 8996.89i | 0.898976 | − | 1.55707i | ||||
\(323\) | 3593.83 | + | 6224.69i | 0.619090 | + | 1.07229i | ||||
\(324\) | 987.541 | − | 5600.63i | 0.169332 | − | 0.960327i | ||||
\(325\) | 155.074 | − | 268.596i | 0.0264676 | − | 0.0458432i | ||||
\(326\) | 3933.97 | + | 1431.85i | 0.668352 | + | 0.243260i | ||||
\(327\) | −6161.27 | −1.04195 | ||||||||
\(328\) | −2445.41 | − | 890.058i | −0.411663 | − | 0.149833i | ||||
\(329\) | 1345.22 | + | 7629.15i | 0.225424 | + | 1.27844i | ||||
\(330\) | 7484.73 | − | 6280.43i | 1.24855 | − | 1.04766i | ||||
\(331\) | −2072.75 | − | 1739.25i | −0.344196 | − | 0.288815i | 0.454259 | − | 0.890870i | \(-0.349904\pi\) |
−0.798454 | + | 0.602055i | \(0.794349\pi\) | |||||||
\(332\) | −3064.08 | −0.506517 | ||||||||
\(333\) | 13908.2 | + | 156.413i | 2.28879 | + | 0.0257398i | ||||
\(334\) | −3695.54 | −0.605423 | ||||||||
\(335\) | −150.780 | − | 126.520i | −0.0245911 | − | 0.0206343i | ||||
\(336\) | −3312.76 | + | 2779.73i | −0.537874 | + | 0.451330i | ||||
\(337\) | −593.390 | − | 3365.28i | −0.0959169 | − | 0.543972i | −0.994463 | − | 0.105092i | \(-0.966486\pi\) |
0.898546 | − | 0.438880i | \(-0.144625\pi\) | |||||||
\(338\) | 3870.83 | + | 1408.87i | 0.622915 | + | 0.226722i | ||||
\(339\) | −12152.2 | −1.94695 | ||||||||
\(340\) | −4585.32 | − | 1668.92i | −0.731393 | − | 0.266205i | ||||
\(341\) | 1958.65 | − | 3392.48i | 0.311047 | − | 0.538749i | ||||
\(342\) | 1556.37 | − | 8826.59i | 0.246078 | − | 1.39558i | ||||
\(343\) | −1959.60 | − | 3394.13i | −0.308480 | − | 0.534303i | ||||
\(344\) | −84.4875 | + | 146.337i | −0.0132420 | + | 0.0229359i | ||||
\(345\) | −16089.4 | − | 13500.6i | −2.51080 | − | 2.10681i | ||||
\(346\) | −704.425 | − | 3994.99i | −0.109451 | − | 0.620729i | ||||
\(347\) | 2226.69 | + | 3856.74i | 0.344482 | + | 0.596660i | 0.985259 | − | 0.171067i | \(-0.0547214\pi\) |
−0.640778 | + | 0.767726i | \(0.721388\pi\) | |||||||
\(348\) | 1599.73 | − | 582.253i | 0.246421 | − | 0.0896898i | ||||
\(349\) | 9544.06 | − | 3473.76i | 1.46385 | − | 0.532796i | 0.517424 | − | 0.855729i | \(-0.326891\pi\) |
0.946422 | + | 0.322933i | \(0.104669\pi\) | |||||||
\(350\) | 263.584 | − | 1494.86i | 0.0402548 | − | 0.228296i | ||||
\(351\) | 2944.51 | − | 2470.74i | 0.447768 | − | 0.375722i | ||||
\(352\) | 1032.61 | − | 866.461i | 0.156359 | − | 0.131200i | ||||
\(353\) | 98.9757 | − | 561.319i | 0.0149234 | − | 0.0846346i | −0.976436 | − | 0.215805i | \(-0.930762\pi\) |
0.991360 | + | 0.131170i | \(0.0418735\pi\) | |||||||
\(354\) | −13880.1 | + | 5051.95i | −2.08396 | + | 0.758498i | ||||
\(355\) | 4913.53 | − | 1788.38i | 0.734600 | − | 0.267373i | ||||
\(356\) | 342.845 | + | 593.825i | 0.0510415 | + | 0.0884064i | ||||
\(357\) | 4652.20 | + | 26383.9i | 0.689693 | + | 3.91144i | ||||
\(358\) | −1381.39 | − | 1159.12i | −0.203934 | − | 0.171121i | ||||
\(359\) | −2773.19 | + | 4803.30i | −0.407697 | + | 0.706152i | −0.994631 | − | 0.103482i | \(-0.967001\pi\) |
0.586934 | + | 0.809635i | \(0.300335\pi\) | |||||||
\(360\) | 3042.34 | + | 5269.49i | 0.445404 | + | 0.771462i | ||||
\(361\) | −277.992 | + | 1576.57i | −0.0405296 | + | 0.229855i | ||||
\(362\) | 1710.24 | − | 2962.22i | 0.248310 | − | 0.430085i | ||||
\(363\) | 3926.79 | + | 1429.24i | 0.567778 | + | 0.206654i | ||||
\(364\) | −1344.69 | −0.193629 | ||||||||
\(365\) | −424.222 | − | 154.404i | −0.0608350 | − | 0.0221421i | ||||
\(366\) | 1700.00 | + | 9641.15i | 0.242787 | + | 1.37692i | ||||
\(367\) | 9246.98 | − | 7759.14i | 1.31523 | − | 1.10361i | 0.327934 | − | 0.944701i | \(-0.393648\pi\) |
0.987294 | − | 0.158906i | \(-0.0507968\pi\) | |||||||
\(368\) | −2219.73 | − | 1862.57i | −0.314433 | − | 0.263841i | ||||
\(369\) | 20103.6 | 2.83618 | ||||||||
\(370\) | −4283.41 | + | 3512.88i | −0.601848 | + | 0.493584i | ||||
\(371\) | −2189.20 | −0.306354 | ||||||||
\(372\) | 2685.21 | + | 2253.16i | 0.374252 | + | 0.314035i | ||||
\(373\) | −2304.53 | + | 1933.73i | −0.319904 | + | 0.268431i | −0.788571 | − | 0.614944i | \(-0.789179\pi\) |
0.468667 | + | 0.883375i | \(0.344734\pi\) | |||||||
\(374\) | −1450.12 | − | 8224.05i | −0.200492 | − | 1.13705i | ||||
\(375\) | 10738.7 | + | 3908.57i | 1.47879 | + | 0.538234i | ||||
\(376\) | 2160.77 | 0.296365 | ||||||||
\(377\) | 497.430 | + | 181.050i | 0.0679548 | + | 0.0247335i | ||||
\(378\) | 9406.10 | − | 16291.8i | 1.27989 | − | 2.21683i | ||||
\(379\) | −1013.59 | + | 5748.36i | −0.137374 | + | 0.779086i | 0.835803 | + | 0.549029i | \(0.185002\pi\) |
−0.973177 | + | 0.230057i | \(0.926109\pi\) | |||||||
\(380\) | 1784.83 | + | 3091.41i | 0.240946 | + | 0.417331i | ||||
\(381\) | −3143.77 | + | 5445.18i | −0.422731 | + | 0.732191i | ||||
\(382\) | 2741.96 | + | 2300.78i | 0.367253 | + | 0.308162i | ||||
\(383\) | −79.1810 | − | 449.058i | −0.0105639 | − | 0.0599107i | 0.979070 | − | 0.203523i | \(-0.0652392\pi\) |
−0.989634 | + | 0.143612i | \(0.954128\pi\) | |||||||
\(384\) | 603.100 | + | 1044.60i | 0.0801480 | + | 0.138820i | ||||
\(385\) | 13972.5 | − | 5085.58i | 1.84962 | − | 0.673208i | ||||
\(386\) | 4531.10 | − | 1649.19i | 0.597479 | − | 0.217465i | ||||
\(387\) | 226.673 | − | 1285.53i | 0.0297737 | − | 0.168855i | ||||
\(388\) | 1065.72 | − | 894.248i | 0.139443 | − | 0.117007i | ||||
\(389\) | 3241.54 | − | 2719.98i | 0.422500 | − | 0.354520i | −0.406613 | − | 0.913601i | \(-0.633290\pi\) |
0.829113 | + | 0.559081i | \(0.188846\pi\) | |||||||
\(390\) | −472.081 | + | 2677.30i | −0.0612942 | + | 0.347617i | ||||
\(391\) | −16868.8 | + | 6139.74i | −2.18182 | + | 0.794118i | ||||
\(392\) | −3605.75 | + | 1312.38i | −0.464586 | + | 0.169095i | ||||
\(393\) | 7714.91 | + | 13362.6i | 0.990243 | + | 1.71515i | ||||
\(394\) | −290.162 | − | 1645.59i | −0.0371019 | − | 0.210415i | ||||
\(395\) | 2470.93 | + | 2073.36i | 0.314750 | + | 0.264106i | ||||
\(396\) | −5206.65 | + | 9018.19i | −0.660717 | + | 1.14440i | ||||
\(397\) | −344.669 | − | 596.985i | −0.0435730 | − | 0.0754706i | 0.843416 | − | 0.537260i | \(-0.180541\pi\) |
−0.886989 | + | 0.461790i | \(0.847207\pi\) | |||||||
\(398\) | 951.146 | − | 5394.22i | 0.119791 | − | 0.679366i | ||||
\(399\) | 9799.42 | − | 16973.1i | 1.22953 | − | 2.12962i | ||||
\(400\) | −397.850 | − | 144.805i | −0.0497312 | − | 0.0181007i | ||||
\(401\) | 451.375 | 0.0562109 | 0.0281055 | − | 0.999605i | \(-0.491053\pi\) | ||||
0.0281055 | + | 0.999605i | \(0.491053\pi\) | |||||||
\(402\) | 283.247 | + | 103.093i | 0.0351419 | + | 0.0127906i | ||||
\(403\) | 189.270 | + | 1073.40i | 0.0233950 | + | 0.132680i | ||||
\(404\) | 5144.13 | − | 4316.44i | 0.633490 | − | 0.531561i | ||||
\(405\) | −13403.9 | − | 11247.2i | −1.64455 | − | 1.37994i | ||||
\(406\) | 2590.76 | 0.316692 | ||||||||
\(407\) | −8871.79 | − | 3342.52i | −1.08049 | − | 0.407083i | ||||
\(408\) | 7472.60 | 0.906738 | ||||||||
\(409\) | 6700.02 | + | 5621.98i | 0.810011 | + | 0.679680i | 0.950610 | − | 0.310387i | \(-0.100458\pi\) |
−0.140599 | + | 0.990067i | \(0.544903\pi\) | |||||||
\(410\) | −6133.54 | + | 5146.65i | −0.738815 | + | 0.619939i | ||||
\(411\) | −3965.97 | − | 22492.1i | −0.475978 | − | 2.69940i | ||||
\(412\) | 2801.81 | + | 1019.78i | 0.335037 | + | 0.121944i | ||||
\(413\) | −22478.9 | −2.67824 | ||||||||
\(414\) | 21034.8 | + | 7656.04i | 2.49711 | + | 0.908875i | ||||
\(415\) | −4713.70 | + | 8164.37i | −0.557557 | + | 0.965718i | ||||
\(416\) | −65.1292 | + | 369.366i | −0.00767602 | + | 0.0435329i | ||||
\(417\) | −12328.6 | − | 21353.7i | −1.44780 | − | 2.50766i | ||||
\(418\) | −3054.54 | + | 5290.62i | −0.357423 | + | 0.619074i | ||||
\(419\) | −10227.2 | − | 8581.67i | −1.19244 | − | 1.00058i | −0.999814 | − | 0.0193057i | \(-0.993854\pi\) |
−0.192628 | − | 0.981272i | \(-0.561701\pi\) | |||||||
\(420\) | 2310.45 | + | 13103.2i | 0.268425 | + | 1.52231i | ||||
\(421\) | 205.715 | + | 356.309i | 0.0238146 | + | 0.0412480i | 0.877687 | − | 0.479234i | \(-0.159086\pi\) |
−0.853873 | + | 0.520482i | \(0.825752\pi\) | |||||||
\(422\) | −2588.20 | + | 942.029i | −0.298559 | + | 0.108666i | ||||
\(423\) | −15685.6 | + | 5709.09i | −1.80298 | + | 0.656230i | ||||
\(424\) | −106.032 | + | 601.340i | −0.0121448 | + | 0.0688765i | ||||
\(425\) | −2009.28 | + | 1685.98i | −0.229328 | + | 0.192429i | ||||
\(426\) | −6134.09 | + | 5147.11i | −0.697647 | + | 0.585395i | ||||
\(427\) | −2587.11 | + | 14672.2i | −0.293206 | + | 1.66285i | ||||
\(428\) | −4767.04 | + | 1735.06i | −0.538373 | + | 0.195952i | ||||
\(429\) | −4372.03 | + | 1591.29i | −0.492036 | + | 0.179086i | ||||
\(430\) | 259.946 | + | 450.240i | 0.0291528 | + | 0.0504942i | ||||
\(431\) | 497.531 | + | 2821.64i | 0.0556038 | + | 0.315345i | 0.999906 | − | 0.0137356i | \(-0.00437233\pi\) |
−0.944302 | + | 0.329081i | \(0.893261\pi\) | |||||||
\(432\) | −4019.55 | − | 3372.80i | −0.447664 | − | 0.375635i | ||||
\(433\) | 995.246 | − | 1723.82i | 0.110458 | − | 0.191320i | −0.805497 | − | 0.592600i | \(-0.798101\pi\) |
0.915955 | + | 0.401281i | \(0.131435\pi\) | |||||||
\(434\) | 2667.24 | + | 4619.79i | 0.295003 | + | 0.510961i | ||||
\(435\) | 909.539 | − | 5158.25i | 0.100251 | − | 0.568550i | ||||
\(436\) | −1307.65 | + | 2264.91i | −0.143635 | + | 0.248783i | ||||
\(437\) | 12340.3 | + | 4491.51i | 1.35084 | + | 0.491666i | ||||
\(438\) | 691.346 | 0.0754196 | ||||||||
\(439\) | −3557.77 | − | 1294.92i | −0.386795 | − | 0.140782i | 0.141301 | − | 0.989967i | \(-0.454872\pi\) |
−0.528096 | + | 0.849185i | \(0.677094\pi\) | |||||||
\(440\) | −720.183 | − | 4084.36i | −0.0780304 | − | 0.442532i | ||||
\(441\) | 22707.6 | − | 19053.9i | 2.45195 | − | 2.05743i | ||||
\(442\) | 1779.97 | + | 1493.57i | 0.191549 | + | 0.160728i | ||||
\(443\) | 6634.49 | 0.711544 | 0.355772 | − | 0.934573i | \(-0.384218\pi\) | ||||
0.355772 | + | 0.934573i | \(0.384218\pi\) | |||||||
\(444\) | 4324.07 | − | 7298.71i | 0.462188 | − | 0.780138i | ||||
\(445\) | 2109.69 | 0.224739 | ||||||||
\(446\) | −5748.72 | − | 4823.75i | −0.610336 | − | 0.512132i | ||||
\(447\) | −6823.92 | + | 5725.95i | −0.722059 | + | 0.605879i | ||||
\(448\) | 318.754 | + | 1807.75i | 0.0336155 | + | 0.190643i | ||||
\(449\) | −13144.6 | − | 4784.26i | −1.38159 | − | 0.502858i | −0.458931 | − | 0.888472i | \(-0.651767\pi\) |
−0.922660 | + | 0.385614i | \(0.873990\pi\) | |||||||
\(450\) | 3270.70 | 0.342627 | ||||||||
\(451\) | −12876.4 | − | 4686.62i | −1.34440 | − | 0.489322i | ||||
\(452\) | −2579.13 | + | 4467.19i | −0.268390 | + | 0.464865i | ||||
\(453\) | 2120.47 | − | 12025.8i | 0.219930 | − | 1.24729i | ||||
\(454\) | −4144.56 | − | 7178.59i | −0.428445 | − | 0.742088i | ||||
\(455\) | −2068.63 | + | 3582.97i | −0.213140 | + | 0.369170i | ||||
\(456\) | −4187.63 | − | 3513.84i | −0.430052 | − | 0.360856i | ||||
\(457\) | 1467.87 | + | 8324.72i | 0.150250 | + | 0.852109i | 0.963001 | + | 0.269498i | \(0.0868578\pi\) |
−0.812751 | + | 0.582611i | \(0.802031\pi\) | |||||||
\(458\) | 675.428 | + | 1169.88i | 0.0689098 | + | 0.119355i | ||||
\(459\) | −30546.5 | + | 11118.0i | −3.10630 | + | 1.13060i | ||||
\(460\) | −8377.66 | + | 3049.22i | −0.849153 | + | 0.309066i | ||||
\(461\) | 1804.85 | − | 10235.8i | 0.182343 | − | 1.03412i | −0.746978 | − | 0.664849i | \(-0.768496\pi\) |
0.929321 | − | 0.369272i | \(-0.120393\pi\) | |||||||
\(462\) | −17443.4 | + | 14636.8i | −1.75658 | + | 1.47395i | ||||
\(463\) | −10269.4 | + | 8617.05i | −1.03080 | + | 0.864942i | −0.990946 | − | 0.134264i | \(-0.957133\pi\) |
−0.0398520 | + | 0.999206i | \(0.512689\pi\) | |||||||
\(464\) | 125.482 | − | 711.643i | 0.0125546 | − | 0.0712008i | ||||
\(465\) | 10134.5 | − | 3688.65i | 1.01070 | − | 0.367865i | ||||
\(466\) | 2936.80 | − | 1068.91i | 0.291942 | − | 0.106258i | ||||
\(467\) | 2891.74 | + | 5008.65i | 0.286540 | + | 0.496301i | 0.972981 | − | 0.230884i | \(-0.0741617\pi\) |
−0.686442 | + | 0.727185i | \(0.740828\pi\) | |||||||
\(468\) | −503.133 | − | 2853.41i | −0.0496952 | − | 0.281835i | ||||
\(469\) | 351.398 | + | 294.858i | 0.0345971 | + | 0.0290304i | ||||
\(470\) | 3324.06 | − | 5757.45i | 0.326229 | − | 0.565045i | ||||
\(471\) | −15410.4 | − | 26691.6i | −1.50759 | − | 2.61122i | ||||
\(472\) | −1088.75 | + | 6174.61i | −0.106173 | + | 0.602139i | ||||
\(473\) | −444.871 | + | 770.539i | −0.0432456 | + | 0.0749036i | ||||
\(474\) | −4641.75 | − | 1689.46i | −0.449794 | − | 0.163712i | ||||
\(475\) | 1918.79 | 0.185348 | ||||||||
\(476\) | 10686.2 | + | 3889.47i | 1.02900 | + | 0.374524i | ||||
\(477\) | −819.117 | − | 4645.44i | −0.0786264 | − | 0.445912i | ||||
\(478\) | −1441.48 | + | 1209.54i | −0.137932 | + | 0.115739i | ||||
\(479\) | 11643.4 | + | 9770.01i | 1.11065 | + | 0.931948i | 0.998095 | − | 0.0616971i | \(-0.0196513\pi\) |
0.112558 | + | 0.993645i | \(0.464096\pi\) | |||||||
\(480\) | 3711.17 | 0.352897 | ||||||||
\(481\) | 2488.80 | − | 874.283i | 0.235925 | − | 0.0828771i | ||||
\(482\) | −5422.54 | −0.512427 | ||||||||
\(483\) | 37496.9 | + | 31463.6i | 3.53244 | + | 2.96407i | ||||
\(484\) | 1358.80 | − | 1140.17i | 0.127611 | − | 0.107079i | ||||
\(485\) | −743.279 | − | 4215.34i | −0.0695888 | − | 0.394658i | ||||
\(486\) | 8538.54 | + | 3107.77i | 0.796947 | + | 0.290065i | ||||
\(487\) | 1498.43 | 0.139426 | 0.0697128 | − | 0.997567i | \(-0.477792\pi\) | ||||
0.0697128 | + | 0.997567i | \(0.477792\pi\) | |||||||
\(488\) | 3904.94 | + | 1421.28i | 0.362230 | + | 0.131841i | ||||
\(489\) | −9862.68 | + | 17082.7i | −0.912078 | + | 1.57976i | ||||
\(490\) | −2050.08 | + | 11626.6i | −0.189006 | + | 1.07191i | ||||
\(491\) | 5171.93 | + | 8958.05i | 0.475369 | + | 0.823363i | 0.999602 | − | 0.0282118i | \(-0.00898129\pi\) |
−0.524233 | + | 0.851575i | \(0.675648\pi\) | |||||||
\(492\) | 6130.78 | − | 10618.8i | 0.561783 | − | 0.973036i | ||||
\(493\) | −3429.39 | − | 2877.60i | −0.313290 | − | 0.262882i | ||||
\(494\) | −295.169 | − | 1673.99i | −0.0268832 | − | 0.152462i | ||||
\(495\) | 16019.5 | + | 27746.6i | 1.45459 | + | 2.51943i | ||||
\(496\) | 1398.17 | − | 508.894i | 0.126572 | − | 0.0460686i | ||||
\(497\) | −11451.1 | + | 4167.87i | −1.03351 | + | 0.376166i | ||||
\(498\) | 2506.98 | − | 14217.8i | 0.225583 | − | 1.27934i | ||||
\(499\) | 7927.35 | − | 6651.83i | 0.711176 | − | 0.596747i | −0.213753 | − | 0.976888i | \(-0.568569\pi\) |
0.924929 | + | 0.380140i | \(0.124124\pi\) | |||||||
\(500\) | 3715.96 | − | 3118.06i | 0.332366 | − | 0.278888i | ||||
\(501\) | 3023.63 | − | 17147.8i | 0.269632 | − | 1.52916i | ||||
\(502\) | 1762.49 | − | 641.495i | 0.156701 | − | 0.0570345i | ||||
\(503\) | 7313.45 | − | 2661.88i | 0.648292 | − | 0.235959i | 0.00311833 | − | 0.999995i | \(-0.499007\pi\) |
0.645173 | + | 0.764036i | \(0.276785\pi\) | |||||||
\(504\) | −7090.27 | − | 12280.7i | −0.626639 | − | 1.08537i | ||||
\(505\) | −3587.73 | − | 20347.0i | −0.316142 | − | 1.79293i | ||||
\(506\) | −11688.0 | − | 9807.43i | −1.02687 | − | 0.861647i | ||||
\(507\) | −9704.37 | + | 16808.5i | −0.850071 | + | 1.47237i | ||||
\(508\) | 1334.45 | + | 2311.33i | 0.116548 | + | 0.201868i | ||||
\(509\) | 392.614 | − | 2226.63i | 0.0341892 | − | 0.193897i | −0.962930 | − | 0.269753i | \(-0.913058\pi\) |
0.997119 | + | 0.0758563i | \(0.0241690\pi\) | |||||||
\(510\) | 11495.6 | − | 19911.0i | 0.998109 | − | 1.72877i | ||||
\(511\) | 988.662 | + | 359.844i | 0.0855887 | + | 0.0311518i | ||||
\(512\) | 512.000 | 0.0441942 | ||||||||
\(513\) | 22346.2 | + | 8133.36i | 1.92322 | + | 0.699993i | ||||
\(514\) | 1033.23 | + | 5859.75i | 0.0886652 | + | 0.502845i | ||||
\(515\) | 7027.46 | − | 5896.74i | 0.601295 | − | 0.504546i | ||||
\(516\) | −609.896 | − | 511.763i | −0.0520333 | − | 0.0436611i | ||||
\(517\) | 11377.6 | 0.967864 | ||||||||
\(518\) | 9982.61 | − | 8186.89i | 0.846739 | − | 0.694423i | ||||
\(519\) | 19113.7 | 1.61656 | ||||||||
\(520\) | 883.997 | + | 741.761i | 0.0745497 | + | 0.0625546i | ||||
\(521\) | −11050.2 | + | 9272.24i | −0.929211 | + | 0.779701i | −0.975676 | − | 0.219219i | \(-0.929649\pi\) |
0.0464644 | + | 0.998920i | \(0.485205\pi\) | |||||||
\(522\) | 969.366 | + | 5497.55i | 0.0812797 | + | 0.460960i | ||||
\(523\) | −14273.5 | − | 5195.12i | −1.19337 | − | 0.434353i | −0.332468 | − | 0.943115i | \(-0.607881\pi\) |
−0.860907 | + | 0.508762i | \(0.830103\pi\) | |||||||
\(524\) | 6549.55 | 0.546027 | ||||||||
\(525\) | 6720.70 | + | 2446.14i | 0.558696 | + | 0.203349i | ||||
\(526\) | −1765.03 | + | 3057.13i | −0.146310 | + | 0.253417i | ||||
\(527\) | 1600.66 | − | 9077.78i | 0.132307 | − | 0.750349i | ||||
\(528\) | 3175.64 | + | 5500.37i | 0.261746 | + | 0.453358i | ||||
\(529\) | −10315.7 | + | 17867.3i | −0.847840 | + | 1.46850i | ||||
\(530\) | 1439.17 | + | 1207.61i | 0.117950 | + | 0.0989722i | ||||
\(531\) | −8410.76 | − | 47699.8i | −0.687375 | − | 3.89830i | ||||
\(532\) | −4159.59 | − | 7204.63i | −0.338987 | − | 0.587143i | ||||
\(533\) | 3582.76 | − | 1304.02i | 0.291157 | − | 0.105972i | ||||
\(534\) | −3035.94 | + | 1104.99i | −0.246026 | + | 0.0895462i | ||||
\(535\) | −2710.34 | + | 15371.1i | −0.219025 | + | 1.24215i | ||||
\(536\) | 98.0129 | − | 82.2426i | 0.00789835 | − | 0.00662750i | ||||
\(537\) | 6508.70 | − | 5461.45i | 0.523038 | − | 0.438881i | ||||
\(538\) | −2081.68 | + | 11805.8i | −0.166817 | + | 0.946066i | ||||
\(539\) | −18986.2 | + | 6910.39i | −1.51724 | + | 0.552230i | ||||
\(540\) | −15170.5 | + | 5521.62i | −1.20895 | + | 0.440023i | ||||
\(541\) | 7854.16 | + | 13603.8i | 0.624171 | + | 1.08110i | 0.988701 | + | 0.149904i | \(0.0478965\pi\) |
−0.364529 | + | 0.931192i | \(0.618770\pi\) | |||||||
\(542\) | 2697.89 | + | 15300.5i | 0.213808 | + | 1.21257i | ||||
\(543\) | 12345.8 | + | 10359.4i | 0.975709 | + | 0.818717i | ||||
\(544\) | 1585.96 | − | 2746.97i | 0.124995 | − | 0.216498i | ||||
\(545\) | 4023.29 | + | 6968.55i | 0.316218 | + | 0.547706i | ||||
\(546\) | 1100.20 | − | 6239.54i | 0.0862348 | − | 0.489062i | ||||
\(547\) | 5994.08 | − | 10382.1i | 0.468535 | − | 0.811526i | −0.530819 | − | 0.847485i | \(-0.678115\pi\) |
0.999353 | + | 0.0359597i | \(0.0114488\pi\) | |||||||
\(548\) | −9109.94 | − | 3315.75i | −0.710141 | − | 0.258470i | ||||
\(549\) | −32102.2 | −2.49561 | ||||||||
\(550\) | −2094.89 | − | 762.477i | −0.162412 | − | 0.0591130i | ||||
\(551\) | 568.690 | + | 3225.20i | 0.0439692 | + | 0.249362i | ||||
\(552\) | 10458.7 | − | 8775.92i | 0.806437 | − | 0.676681i | ||||
\(553\) | −5758.59 | − | 4832.03i | −0.442821 | − | 0.371571i | ||||
\(554\) | 2707.85 | 0.207663 | ||||||||
\(555\) | −12795.7 | − | 22749.8i | −0.978640 | − | 1.73995i | ||||
\(556\) | −10466.3 | −0.798328 | ||||||||
\(557\) | −18314.1 | − | 15367.3i | −1.39316 | − | 1.16900i | −0.964040 | − | 0.265758i | \(-0.914378\pi\) |
−0.429124 | − | 0.903245i | \(-0.641178\pi\) | |||||||
\(558\) | −8805.14 | + | 7388.39i | −0.668013 | + | 0.560530i | ||||
\(559\) | −42.9891 | − | 243.803i | −0.00325267 | − | 0.0184468i | ||||
\(560\) | 5307.17 | + | 1931.65i | 0.400480 | + | 0.145763i | ||||
\(561\) | 39347.2 | 2.96121 | ||||||||
\(562\) | −14653.9 | − | 5333.57i | −1.09989 | − | 0.400325i | ||||
\(563\) | 4782.05 | − | 8282.75i | 0.357974 | − | 0.620029i | −0.629648 | − | 0.776880i | \(-0.716801\pi\) |
0.987622 | + | 0.156851i | \(0.0501343\pi\) | |||||||
\(564\) | −1767.90 | + | 10026.3i | −0.131989 | + | 0.748550i | ||||
\(565\) | 7935.33 | + | 13744.4i | 0.590870 | + | 1.02342i | ||||
\(566\) | 7336.24 | − | 12706.7i | 0.544815 | − | 0.943647i | ||||
\(567\) | 31238.1 | + | 26211.9i | 2.31372 | + | 1.94144i | ||||
\(568\) | 590.224 | + | 3347.33i | 0.0436008 | + | 0.247272i | ||||
\(569\) | −5361.99 | − | 9287.25i | −0.395055 | − | 0.684256i | 0.598053 | − | 0.801457i | \(-0.295941\pi\) |
−0.993108 | + | 0.117201i | \(0.962608\pi\) | |||||||
\(570\) | −15804.9 | + | 5752.50i | −1.16139 | + | 0.422712i | ||||
\(571\) | −7593.64 | + | 2763.86i | −0.556540 | + | 0.202564i | −0.604950 | − | 0.796264i | \(-0.706807\pi\) |
0.0484101 | + | 0.998828i | \(0.484585\pi\) | |||||||
\(572\) | −342.940 | + | 1944.91i | −0.0250682 | + | 0.142169i | ||||
\(573\) | −12919.3 | + | 10840.6i | −0.941907 | + | 0.790354i | ||||
\(574\) | 14294.4 | − | 11994.4i | 1.03944 | − | 0.872192i | ||||
\(575\) | −832.165 | + | 4719.44i | −0.0603542 | + | 0.342286i | ||||
\(576\) | −3716.74 | + | 1352.78i | −0.268862 | + | 0.0978577i | ||||
\(577\) | 11752.0 | − | 4277.38i | 0.847908 | − | 0.308613i | 0.118721 | − | 0.992928i | \(-0.462121\pi\) |
0.729187 | + | 0.684315i | \(0.239898\pi\) | |||||||
\(578\) | −4912.28 | − | 8508.33i | −0.353502 | − | 0.612283i | ||||
\(579\) | 3945.19 | + | 22374.3i | 0.283172 | + | 1.60595i | ||||
\(580\) | −1703.16 | − | 1429.12i | −0.121931 | − | 0.102312i | ||||
\(581\) | 10985.4 | − | 19027.3i | 0.784427 | − | 1.35867i | ||||
\(582\) | 3277.48 | + | 5676.76i | 0.233429 | + | 0.404312i | ||||
\(583\) | −558.316 | + | 3166.37i | −0.0396623 | + | 0.224936i | ||||
\(584\) | 146.729 | − | 254.142i | 0.0103967 | − | 0.0180077i | ||||
\(585\) | −8377.02 | − | 3048.99i | −0.592046 | − | 0.215487i | ||||
\(586\) | −2054.92 | −0.144860 | ||||||||
\(587\) | 13645.2 | + | 4966.45i | 0.959452 | + | 0.349212i | 0.773819 | − | 0.633407i | \(-0.218344\pi\) |
0.185633 | + | 0.982619i | \(0.440566\pi\) | |||||||
\(588\) | −3139.49 | − | 17804.9i | −0.220188 | − | 1.24875i | ||||
\(589\) | −5165.64 | + | 4334.49i | −0.361369 | + | 0.303225i | ||||
\(590\) | 14777.6 | + | 12399.9i | 1.03116 | + | 0.865244i | ||||
\(591\) | 7873.17 | 0.547985 | ||||||||
\(592\) | −1765.31 | − | 3138.60i | −0.122557 | − | 0.217898i | ||||
\(593\) | −18023.8 | −1.24814 | −0.624072 | − | 0.781367i | \(-0.714523\pi\) | ||||
−0.624072 | + | 0.781367i | \(0.714523\pi\) | |||||||
\(594\) | −21165.0 | − | 17759.6i | −1.46197 | − | 1.22674i | ||||
\(595\) | 26803.0 | − | 22490.4i | 1.84675 | − | 1.54961i | ||||
\(596\) | 656.600 | + | 3723.76i | 0.0451265 | + | 0.255925i | ||||
\(597\) | 24251.7 | + | 8826.90i | 1.66257 | + | 0.605127i | ||||
\(598\) | 4245.33 | 0.290309 | ||||||||
\(599\) | −3469.50 | − | 1262.79i | −0.236661 | − | 0.0861374i | 0.220967 | − | 0.975281i | \(-0.429079\pi\) |
−0.457628 | + | 0.889144i | \(0.651301\pi\) | |||||||
\(600\) | 997.431 | − | 1727.60i | 0.0678666 | − | 0.117548i | ||||
\(601\) | −1139.86 | + | 6464.45i | −0.0773640 | + | 0.438753i | 0.921381 | + | 0.388661i | \(0.127062\pi\) |
−0.998745 | + | 0.0500916i | \(0.984049\pi\) | |||||||
\(602\) | −605.813 | − | 1049.30i | −0.0410151 | − | 0.0710402i | ||||
\(603\) | −494.204 | + | 855.986i | −0.0333757 | + | 0.0578084i | ||||
\(604\) | −3970.70 | − | 3331.81i | −0.267492 | − | 0.224453i | ||||
\(605\) | −947.685 | − | 5374.59i | −0.0636841 | − | 0.361171i | ||||
\(606\) | 15820.0 | + | 27401.1i | 1.06047 | + | 1.83679i | ||||
\(607\) | −18550.7 | + | 6751.92i | −1.24045 | + | 0.451486i | −0.877163 | − | 0.480192i | \(-0.840567\pi\) |
−0.363284 | + | 0.931678i | \(0.618345\pi\) | |||||||
\(608\) | −2180.47 | + | 793.627i | −0.145444 | + | 0.0529372i | ||||
\(609\) | −2119.71 | + | 12021.5i | −0.141043 | + | 0.799893i | ||||
\(610\) | 9794.29 | − | 8218.39i | 0.650097 | − | 0.545496i | ||||
\(611\) | −2425.09 | + | 2034.89i | −0.160571 | + | 0.134735i | ||||
\(612\) | −4255.00 | + | 24131.3i | −0.281043 | + | 1.59387i | ||||
\(613\) | 20602.5 | − | 7498.68i | 1.35746 | − | 0.494077i | 0.442195 | − | 0.896919i | \(-0.354200\pi\) |
0.915269 | + | 0.402842i | \(0.131978\pi\) | |||||||
\(614\) | 18720.4 | − | 6813.67i | 1.23045 | − | 0.447846i | ||||
\(615\) | −18862.8 | − | 32671.4i | −1.23679 | − | 2.14217i | ||||
\(616\) | 1678.41 | + | 9518.73i | 0.109781 | + | 0.622599i | ||||
\(617\) | 20778.4 | + | 17435.2i | 1.35577 | + | 1.13762i | 0.977264 | + | 0.212025i | \(0.0680057\pi\) |
0.378504 | + | 0.925600i | \(0.376439\pi\) | |||||||
\(618\) | −7024.30 | + | 12166.4i | −0.457215 | + | 0.791919i | ||||
\(619\) | 12638.4 | + | 21890.4i | 0.820649 | + | 1.42141i | 0.905200 | + | 0.424986i | \(0.139721\pi\) |
−0.0845512 | + | 0.996419i | \(0.526946\pi\) | |||||||
\(620\) | 794.944 | − | 4508.35i | 0.0514931 | − | 0.292032i | ||||
\(621\) | −29696.1 | + | 51435.2i | −1.91894 | + | 3.32371i | ||||
\(622\) | 8587.08 | + | 3125.44i | 0.553554 | + | 0.201477i | ||||
\(623\) | −4916.71 | −0.316186 | ||||||||
\(624\) | −1660.62 | − | 604.417i | −0.106535 | − | 0.0387757i | ||||
\(625\) | −3166.04 | − | 17955.5i | −0.202626 | − | 1.14915i | ||||
\(626\) | −8967.71 | + | 7524.80i | −0.572559 | + | 0.480434i | ||||
\(627\) | −22050.1 | − | 18502.2i | −1.40446 | − | 1.17848i | ||||
\(628\) | −13082.6 | −0.831295 | ||||||||
\(629\) | −22307.3 | − | 250.869i | −1.41407 | − | 0.0159027i | ||||
\(630\) | −43629.9 | −2.75914 | ||||||||
\(631\) | 1139.25 | + | 955.945i | 0.0718746 | + | 0.0603099i | 0.678017 | − | 0.735046i | \(-0.262839\pi\) |
−0.606143 | + | 0.795356i | \(0.707284\pi\) | |||||||
\(632\) | −1606.20 | + | 1347.76i | −0.101094 | + | 0.0848278i | ||||
\(633\) | −2253.52 | − | 12780.4i | −0.141500 | − | 0.802487i | ||||
\(634\) | 18902.8 | + | 6880.05i | 1.18411 | + | 0.430981i | ||||
\(635\) | 8211.51 | 0.513171 | ||||||||
\(636\) | −2703.55 | − | 984.010i | −0.168558 | − | 0.0613499i | ||||
\(637\) | 2810.90 | − | 4868.62i | 0.174838 | − | 0.302828i | ||||
\(638\) | 660.728 | − | 3747.17i | 0.0410007 | − | 0.232527i | ||||
\(639\) | −13128.8 | − | 22739.7i | −0.812779 | − | 1.40777i | ||||
\(640\) | 787.646 | − | 1364.24i | 0.0486476 | − | 0.0842600i | ||||
\(641\) | −13971.4 | − | 11723.4i | −0.860898 | − | 0.722380i | 0.101263 | − | 0.994860i | \(-0.467712\pi\) |
−0.962161 | + | 0.272480i | \(0.912156\pi\) | |||||||
\(642\) | −4150.61 | − | 23539.3i | −0.255158 | − | 1.44708i | ||||
\(643\) | −13502.2 | − | 23386.5i | −0.828110 | − | 1.43433i | −0.899519 | − | 0.436882i | \(-0.856083\pi\) |
0.0714083 | − | 0.997447i | \(-0.477251\pi\) | |||||||
\(644\) | 19524.4 | − | 7106.30i | 1.19467 | − | 0.434825i | ||||
\(645\) | −2301.86 | + | 837.808i | −0.140520 | + | 0.0511452i | ||||
\(646\) | −2496.25 | + | 14156.9i | −0.152033 | + | 0.862224i | ||||
\(647\) | 7897.42 | − | 6626.72i | 0.479876 | − | 0.402663i | −0.370506 | − | 0.928830i | \(-0.620816\pi\) |
0.850381 | + | 0.526167i | \(0.176371\pi\) | |||||||
\(648\) | 8713.03 | − | 7311.10i | 0.528210 | − | 0.443221i | ||||
\(649\) | −5732.84 | + | 32512.6i | −0.346739 | + | 1.96646i | ||||
\(650\) | 582.888 | − | 212.154i | 0.0351734 | − | 0.0128021i | ||||
\(651\) | −23618.7 | + | 8596.52i | −1.42195 | + | 0.517549i | ||||
\(652\) | 4186.45 | + | 7251.14i | 0.251463 | + | 0.435547i | ||||
\(653\) | −2416.60 | − | 13705.2i | −0.144822 | − | 0.821326i | −0.967510 | − | 0.252833i | \(-0.918638\pi\) |
0.822688 | − | 0.568493i | \(-0.192473\pi\) | |||||||
\(654\) | −9439.61 | − | 7920.77i | −0.564400 | − | 0.473588i | ||||
\(655\) | 10075.6 | − | 17451.5i | 0.601050 | − | 1.04105i | ||||
\(656\) | −2602.35 | − | 4507.41i | −0.154885 | − | 0.268270i | ||||
\(657\) | −393.662 | + | 2232.57i | −0.0233763 | + | 0.132573i | ||||
\(658\) | −7746.84 | + | 13417.9i | −0.458971 | + | 0.794962i | ||||
\(659\) | 9397.65 | + | 3420.47i | 0.555509 | + | 0.202189i | 0.604493 | − | 0.796611i | \(-0.293376\pi\) |
−0.0489833 | + | 0.998800i | \(0.515598\pi\) | |||||||
\(660\) | 19541.2 | 1.15249 | ||||||||
\(661\) | 8425.75 | + | 3066.72i | 0.495800 | + | 0.180456i | 0.577804 | − | 0.816176i | \(-0.303910\pi\) |
−0.0820041 | + | 0.996632i | \(0.526132\pi\) | |||||||
\(662\) | −939.710 | − | 5329.36i | −0.0551705 | − | 0.312887i | ||||
\(663\) | −8386.71 | + | 7037.29i | −0.491271 | + | 0.412226i | ||||
\(664\) | −4694.45 | − | 3939.11i | −0.274367 | − | 0.230222i | ||||
\(665\) | −25596.0 | −1.49259 | ||||||||
\(666\) | 21107.6 | + | 18119.7i | 1.22808 | + | 1.05424i | ||||
\(667\) | −8179.31 | −0.474819 | ||||||||
\(668\) | −5661.90 | − | 4750.90i | −0.327943 | − | 0.275176i | ||||
\(669\) | 27086.4 | − | 22728.1i | 1.56535 | − | 1.31348i | ||||
\(670\) | −68.3582 | − | 387.679i | −0.00394165 | − | 0.0223542i | ||||
\(671\) | 20561.5 | + | 7483.79i | 1.18296 | + | 0.430564i | ||||
\(672\) | −8648.99 | −0.496491 | ||||||||
\(673\) | −6871.74 | − | 2501.11i | −0.393590 | − | 0.143255i | 0.137641 | − | 0.990482i | \(-0.456048\pi\) |
−0.531231 | + | 0.847227i | \(0.678270\pi\) | |||||||
\(674\) | 3417.19 | − | 5918.75i | 0.195290 | − | 0.338252i | ||||
\(675\) | −1506.91 | + | 8546.11i | −0.0859274 | + | 0.487318i | ||||
\(676\) | 4119.25 | + | 7134.75i | 0.234368 | + | 0.405937i | ||||
\(677\) | 3936.48 | − | 6818.18i | 0.223473 | − | 0.387067i | −0.732387 | − | 0.680888i | \(-0.761594\pi\) |
0.955860 | + | 0.293822i | \(0.0949272\pi\) | |||||||
\(678\) | −18618.2 | − | 15622.5i | −1.05461 | − | 0.884925i | ||||
\(679\) | 1732.24 | + | 9823.99i | 0.0979044 | + | 0.555243i | ||||
\(680\) | −4879.59 | − | 8451.70i | −0.275182 | − | 0.476629i | ||||
\(681\) | 36700.7 | − | 13358.0i | 2.06516 | − | 0.751656i | ||||
\(682\) | 7362.12 | − | 2679.59i | 0.413358 | − | 0.150450i | ||||
\(683\) | −2190.36 | + | 12422.2i | −0.122711 | + | 0.695931i | 0.859929 | + | 0.510413i | \(0.170507\pi\) |
−0.982641 | + | 0.185518i | \(0.940604\pi\) | |||||||
\(684\) | 13731.7 | − | 11522.3i | 0.767611 | − | 0.644102i | ||||
\(685\) | −22849.4 | + | 19172.9i | −1.27450 | + | 1.06943i | ||||
\(686\) | 1361.13 | − | 7719.33i | 0.0757552 | − | 0.429629i | ||||
\(687\) | −5981.01 | + | 2176.91i | −0.332154 | + | 0.120894i | ||||
\(688\) | −317.569 | + | 115.586i | −0.0175977 | + | 0.00640503i | ||||
\(689\) | −447.306 | − | 774.756i | −0.0247329 | − | 0.0428387i | ||||
\(690\) | −7294.35 | − | 41368.3i | −0.402451 | − | 2.28241i | ||||
\(691\) | 610.914 | + | 512.617i | 0.0336328 | + | 0.0282212i | 0.659449 | − | 0.751749i | \(-0.270790\pi\) |
−0.625816 | + | 0.779970i | \(0.715234\pi\) | |||||||
\(692\) | 4056.62 | − | 7026.27i | 0.222846 | − | 0.385981i | ||||
\(693\) | −37334.0 | − | 64664.4i | −2.04647 | − | 3.54459i | ||||
\(694\) | −1546.64 | + | 8771.46i | −0.0845963 | + | 0.479769i | ||||
\(695\) | −16101.1 | + | 27887.9i | −0.878774 | + | 1.52208i | ||||
\(696\) | 3199.45 | + | 1164.51i | 0.174246 | + | 0.0634202i | ||||
\(697\) | −32244.0 | −1.75227 | ||||||||
\(698\) | 19088.1 | + | 6947.51i | 1.03510 | + | 0.376744i | ||||
\(699\) | 2557.05 | + | 14501.7i | 0.138364 | + | 0.784701i | ||||
\(700\) | 2325.59 | − | 1951.40i | 0.125570 | − | 0.105366i | ||||
\(701\) | 2985.51 | + | 2505.14i | 0.160858 | + | 0.134976i | 0.719664 | − | 0.694323i | \(-0.244296\pi\) |
−0.558806 | + | 0.829298i | \(0.688740\pi\) | |||||||
\(702\) | 7687.58 | 0.413317 | ||||||||
\(703\) | 12383.0 | + | 10630.1i | 0.664344 | + | 0.570304i | ||||
\(704\) | 2695.95 | 0.144329 | ||||||||
\(705\) | 23995.7 | + | 20134.8i | 1.28188 | + | 1.07563i | ||||
\(706\) | 873.258 | − | 732.750i | 0.0465517 | − | 0.0390615i | ||||
\(707\) | 8361.31 | + | 47419.3i | 0.444780 | + | 2.52247i | ||||
\(708\) | −27760.3 | − | 10103.9i | −1.47358 | − | 0.536339i | ||||
\(709\) | 25249.8 | 1.33748 | 0.668741 | − | 0.743496i | \(-0.266834\pi\) | ||||
0.668741 | + | 0.743496i | \(0.266834\pi\) | |||||||
\(710\) | 9827.06 | + | 3576.76i | 0.519441 | + | 0.189061i | ||||
\(711\) | 8098.84 | − | 14027.6i | 0.427188 | − | 0.739911i | ||||
\(712\) | −238.138 | + | 1350.55i | −0.0125345 | + | 0.0710869i | ||||
\(713\) | −8420.76 | − | 14585.2i | −0.442300 | − | 0.766086i | ||||
\(714\) | −26790.9 | + | 46403.3i | −1.40424 | + | 2.43221i | ||||
\(715\) | 4654.71 | + | 3905.76i | 0.243463 | + | 0.204290i | ||||
\(716\) | −626.270 | − | 3551.75i | −0.0326883 | − | 0.185384i | ||||
\(717\) | −4433.06 | − | 7678.28i | −0.230900 | − | 0.399931i | ||||
\(718\) | −10423.8 | + | 3793.95i | −0.541799 | + | 0.197199i | ||||
\(719\) | 17805.9 | − | 6480.83i | 0.923573 | − | 0.336153i | 0.163914 | − | 0.986475i | \(-0.447588\pi\) |
0.759659 | + | 0.650321i | \(0.225366\pi\) | |||||||
\(720\) | −2113.19 | + | 11984.5i | −0.109380 | + | 0.620327i | ||||
\(721\) | −16377.7 | + | 13742.5i | −0.845961 | + | 0.709846i | ||||
\(722\) | −2452.71 | + | 2058.07i | −0.126427 | + | 0.106085i | ||||
\(723\) | 4436.62 | − | 25161.3i | 0.228215 | − | 1.29427i | ||||
\(724\) | 6428.39 | − | 2339.74i | 0.329985 | − | 0.120105i | ||||
\(725\) | −1123.03 | + | 408.748i | −0.0575285 | + | 0.0209387i | ||||
\(726\) | 4178.81 | + | 7237.91i | 0.213623 | + | 0.370005i | ||||
\(727\) | 918.279 | + | 5207.82i | 0.0468461 | + | 0.265677i | 0.999230 | − | 0.0392226i | \(-0.0124881\pi\) |
−0.952384 | + | 0.304900i | \(0.901377\pi\) | |||||||
\(728\) | −2060.18 | − | 1728.70i | −0.104884 | − | 0.0880080i | ||||
\(729\) | −2212.87 | + | 3832.80i | −0.112425 | + | 0.194727i | ||||
\(730\) | −451.447 | − | 781.930i | −0.0228888 | − | 0.0396445i | ||||
\(731\) | −363.559 | + | 2061.85i | −0.0183950 | + | 0.104323i | ||||
\(732\) | −9789.88 | + | 16956.6i | −0.494323 | + | 0.856193i | ||||
\(733\) | 4439.95 | + | 1616.01i | 0.223729 | + | 0.0814306i | 0.451452 | − | 0.892295i | \(-0.350906\pi\) |
−0.227724 | + | 0.973726i | \(0.573128\pi\) | |||||||
\(734\) | 24142.2 | 1.21404 | ||||||||
\(735\) | −52271.6 | − | 19025.3i | −2.62322 | − | 0.954774i | ||||
\(736\) | −1006.34 | − | 5707.26i | −0.0503999 | − | 0.285832i | ||||
\(737\) | 516.089 | − | 433.050i | 0.0257943 | − | 0.0216440i | ||||
\(738\) | 30800.5 | + | 25844.7i | 1.53629 | + | 1.28910i | ||||
\(739\) | −29002.2 | −1.44366 | −0.721829 | − | 0.692072i | \(-0.756698\pi\) | ||||
−0.721829 | + | 0.692072i | \(0.756698\pi\) | |||||||
\(740\) | −11078.6 | − | 124.591i | −0.550349 | − | 0.00618925i | ||||
\(741\) | 8009.03 | 0.397057 | ||||||||
\(742\) | −3354.04 | − | 2814.38i | −0.165944 | − | 0.139244i | ||||
\(743\) | −21745.7 | + | 18246.8i | −1.07372 | + | 0.900957i | −0.995384 | − | 0.0959703i | \(-0.969405\pi\) |
−0.0783343 | + | 0.996927i | \(0.524960\pi\) | |||||||
\(744\) | 1217.38 | + | 6904.09i | 0.0599882 | + | 0.340210i | ||||
\(745\) | 10932.2 | + | 3978.99i | 0.537617 | + | 0.195677i | ||||
\(746\) | −6016.70 | −0.295291 | ||||||||
\(747\) | 44486.0 | + | 16191.6i | 2.17893 | + | 0.793064i | ||||
\(748\) | 8350.92 | − | 14464.2i | 0.408208 | − | 0.707038i | ||||
\(749\) | 6316.54 | − | 35822.9i | 0.308146 | − | 1.74758i | ||||
\(750\) | 11427.9 | + | 19793.7i | 0.556384 | + | 0.963686i | ||||
\(751\) | 7106.06 | − | 12308.1i | 0.345278 | − | 0.598039i | −0.640126 | − | 0.768270i | \(-0.721118\pi\) |
0.985404 | + | 0.170231i | \(0.0544513\pi\) | |||||||
\(752\) | 3310.49 | + | 2777.83i | 0.160533 | + | 0.134704i | ||||
\(753\) | 1534.59 | + | 8703.07i | 0.0742675 | + | 0.421192i | ||||
\(754\) | 529.354 | + | 916.869i | 0.0255676 | + | 0.0442843i | ||||
\(755\) | −14986.1 | + | 5454.51i | −0.722386 | + | 0.262927i | ||||
\(756\) | 35355.4 | − | 12868.3i | 1.70088 | − | 0.619069i | ||||
\(757\) | 3023.43 | − | 17146.7i | 0.145163 | − | 0.823261i | −0.822073 | − | 0.569382i | \(-0.807182\pi\) |
0.967236 | − | 0.253879i | \(-0.0817065\pi\) | |||||||
\(758\) | −8942.87 | + | 7503.96i | −0.428522 | + | 0.359572i | ||||
\(759\) | 55070.7 | − | 46209.8i | 2.63365 | − | 2.20990i | ||||
\(760\) | −1239.73 | + | 7030.84i | −0.0591705 | + | 0.335573i | ||||
\(761\) | 31104.7 | − | 11321.2i | 1.48166 | − | 0.539280i | 0.530421 | − | 0.847734i | \(-0.322034\pi\) |
0.951239 | + | 0.308454i | \(0.0998116\pi\) | |||||||
\(762\) | −11816.7 | + | 4300.94i | −0.561778 | + | 0.204470i | ||||
\(763\) | −9376.41 | − | 16240.4i | −0.444887 | − | 0.770567i | ||||
\(764\) | 1243.10 | + | 7049.98i | 0.0588663 | + | 0.333847i | ||||
\(765\) | 57753.0 | + | 48460.5i | 2.72950 | + | 2.29032i | ||||
\(766\) | 455.985 | − | 789.790i | 0.0215084 | − | 0.0372536i | ||||
\(767\) | −4592.97 | − | 7955.26i | −0.216223 | − | 0.374508i | ||||
\(768\) | −418.909 | + | 2375.75i | −0.0196824 | + | 0.111624i | ||||
\(769\) | 9197.06 | − | 15929.8i | 0.431280 | − | 0.746999i | −0.565704 | − | 0.824609i | \(-0.691395\pi\) |
0.996984 | + | 0.0776094i | \(0.0247287\pi\) | |||||||
\(770\) | 27945.0 | + | 10171.2i | 1.30788 | + | 0.476030i | ||||
\(771\) | −28035.4 | −1.30956 | ||||||||
\(772\) | 9062.20 | + | 3298.37i | 0.422482 | + | 0.153771i | ||||
\(773\) | −947.747 | − | 5374.94i | −0.0440984 | − | 0.250095i | 0.954787 | − | 0.297290i | \(-0.0960828\pi\) |
−0.998886 | + | 0.0471953i | \(0.984972\pi\) | |||||||
\(774\) | 1999.92 | − | 1678.13i | 0.0928756 | − | 0.0779319i | ||||
\(775\) | −1885.05 | − | 1581.74i | −0.0873716 | − | 0.0733135i | ||||
\(776\) | 2782.41 | 0.128715 | ||||||||
\(777\) | 29820.7 | + | 53019.1i | 1.37685 | + | 2.44794i | ||||
\(778\) | 8463.06 | 0.389994 | ||||||||
\(779\) | 18069.5 | + | 15162.1i | 0.831073 | + | 0.697353i | ||||
\(780\) | −4165.15 | + | 3494.97i | −0.191200 | + | 0.160436i | ||||
\(781\) | 3107.84 | + | 17625.4i | 0.142391 | + | 0.807538i | ||||
\(782\) | −33737.6 | − | 12279.5i | −1.54278 | − | 0.561526i | ||||
\(783\) | −14811.3 | −0.676008 | ||||||||
\(784\) | −7211.49 | − | 2624.77i | −0.328512 | − | 0.119569i | ||||
\(785\) | −20125.9 | + | 34859.1i | −0.915064 | + | 1.58494i | ||||
\(786\) | −5358.72 | + | 30390.8i | −0.243180 | + | 1.37914i | ||||
\(787\) | −18448.5 | − | 31953.8i | −0.835602 | − | 1.44731i | −0.893539 | − | 0.448985i | \(-0.851786\pi\) |
0.0579372 | − | 0.998320i | \(-0.481548\pi\) | |||||||
\(788\) | 1670.98 | − | 2894.21i | 0.0755407 | − | 0.130840i | ||||
\(789\) | −12741.4 | − | 10691.3i | −0.574912 | − | 0.482408i | ||||
\(790\) | 1120.23 | + | 6353.14i | 0.0504506 | + | 0.286120i | ||||
\(791\) | −18493.5 | − | 32031.7i | −0.831295 | − | 1.43985i | ||||
\(792\) | −19570.6 | + | 7123.12i | −0.878045 | + | 0.319582i | ||||
\(793\) | −5721.10 | + | 2082.31i | −0.256195 | + | 0.0932472i | ||||
\(794\) | 239.405 | − | 1357.73i | 0.0107005 | − | 0.0606853i | ||||
\(795\) | −6780.99 | + | 5689.92i | −0.302512 | + | 0.253838i | ||||
\(796\) | 8391.91 | − | 7041.65i | 0.373673 | − | 0.313549i | ||||
\(797\) | 2637.86 | − | 14960.0i | 0.117237 | − | 0.664883i | −0.868381 | − | 0.495897i | \(-0.834839\pi\) |
0.985618 | − | 0.168987i | \(-0.0540495\pi\) | |||||||
\(798\) | 36833.8 | − | 13406.4i | 1.63396 | − | 0.594713i | ||||
\(799\) | 25158.0 | − | 9156.78i | 1.11393 | − | 0.405436i | ||||
\(800\) | −423.383 | − | 733.321i | −0.0187111 | − | 0.0324085i | ||||
\(801\) | −1839.65 | − | 10433.2i | −0.0811496 | − | 0.460222i | ||||
\(802\) | 691.546 | + | 580.276i | 0.0304481 | + | 0.0255490i | ||||
\(803\) | 772.605 | − | 1338.19i | 0.0339535 | − | 0.0588092i | ||||
\(804\) | 301.425 | + | 522.083i | 0.0132219 | + | 0.0229010i | ||||
\(805\) | 11100.8 | − | 62955.6i | 0.486026 | − | 2.75639i | ||||
\(806\) | −1089.96 | + | 1887.87i | −0.0476331 | + | 0.0825029i | ||||
\(807\) | −53077.3 | − | 19318.6i | −2.31525 | − | 0.842683i | ||||
\(808\) | 13430.4 | 0.584751 | ||||||||
\(809\) | 2451.11 | + | 892.130i | 0.106522 | + | 0.0387708i | 0.394731 | − | 0.918797i | \(-0.370838\pi\) |
−0.288209 | + | 0.957567i | \(0.593060\pi\) | |||||||
\(810\) | −6076.82 | − | 34463.4i | −0.263602 | − | 1.49496i | ||||
\(811\) | −29683.4 | + | 24907.4i | −1.28524 | + | 1.07844i | −0.292736 | + | 0.956193i | \(0.594566\pi\) |
−0.992500 | + | 0.122248i | \(0.960990\pi\) | |||||||
\(812\) | 3969.27 | + | 3330.61i | 0.171544 | + | 0.143943i | ||||
\(813\) | −73203.6 | −3.15789 | ||||||||
\(814\) | −9295.31 | − | 16526.4i | −0.400246 | − | 0.711609i | ||||
\(815\) | 25761.2 | 1.10721 | ||||||||
\(816\) | 11448.7 | + | 9606.59i | 0.491157 | + | 0.412130i | ||||
\(817\) | 1173.28 | − | 984.497i | 0.0502421 | − | 0.0421581i | ||||
\(818\) | 3037.54 | + | 17226.8i | 0.129835 | + | 0.736332i | ||||
\(819\) | 19522.9 | + | 7105.76i | 0.832950 | + | 0.303169i | ||||
\(820\) | −16013.5 | −0.681972 | ||||||||
\(821\) | −1662.49 | − | 605.097i | −0.0706715 | − | 0.0257223i | 0.306443 | − | 0.951889i | \(-0.400861\pi\) |
−0.377114 | + | 0.926167i | \(0.623083\pi\) | |||||||
\(822\) | 22839.1 | − | 39558.5i | 0.969106 | − | 1.67854i | ||||
\(823\) | −2578.63 | + | 14624.2i | −0.109217 | + | 0.619400i | 0.880235 | + | 0.474538i | \(0.157385\pi\) |
−0.989452 | + | 0.144862i | \(0.953726\pi\) | |||||||
\(824\) | 2981.63 | + | 5164.33i | 0.126056 | + | 0.218335i | ||||
\(825\) | 5252.00 | − | 9096.72i | 0.221638 | − | 0.383888i | ||||
\(826\) | −34439.6 | − | 28898.3i | −1.45074 | − | 1.21731i | ||||
\(827\) | 1256.80 | + | 7127.69i | 0.0528457 | + | 0.299703i | 0.999763 | − | 0.0217748i | \(-0.00693168\pi\) |
−0.946917 | + | 0.321477i | \(0.895821\pi\) | |||||||
\(828\) | 22384.8 | + | 38771.6i | 0.939523 | + | 1.62730i | ||||
\(829\) | 37054.5 | − | 13486.7i | 1.55242 | − | 0.565035i | 0.583437 | − | 0.812159i | \(-0.301708\pi\) |
0.968984 | + | 0.247124i | \(0.0794854\pi\) | |||||||
\(830\) | −17717.7 | + | 6448.72i | −0.740953 | + | 0.269685i | ||||
\(831\) | −2215.51 | + | 12564.8i | −0.0924852 | + | 0.524510i | ||||
\(832\) | −574.632 | + | 482.173i | −0.0239444 | + | 0.0200918i | ||||
\(833\) | −36420.5 | + | 30560.4i | −1.51488 | + | 1.27114i | ||||
\(834\) | 8563.34 | − | 48565.1i | 0.355544 | − | 2.01639i | ||||
\(835\) | −21369.1 | + | 7777.70i | −0.885637 | + | 0.322345i | ||||
\(836\) | −11481.3 | + | 4178.86i | −0.474988 | + | 0.172882i | ||||
\(837\) | −15248.6 | − | 26411.3i | −0.629711 | − | 1.09069i | ||||
\(838\) | −4636.65 | − | 26295.8i | −0.191134 | − | 1.08398i | ||||
\(839\) | 33401.5 | + | 28027.2i | 1.37443 | + | 1.15329i | 0.971221 | + | 0.238178i | \(0.0765502\pi\) |
0.403211 | + | 0.915107i | \(0.367894\pi\) | |||||||
\(840\) | −13305.4 | + | 23045.6i | −0.546522 | + | 0.946604i | ||||
\(841\) | 11174.6 | + | 19355.0i | 0.458183 | + | 0.793595i | ||||
\(842\) | −142.888 | + | 810.359i | −0.00584828 | + | 0.0331672i | ||||
\(843\) | 36738.0 | − | 63632.1i | 1.50098 | − | 2.59977i | ||||
\(844\) | −5176.41 | − | 1884.06i | −0.211113 | − | 0.0768388i | ||||
\(845\) | 25347.7 | 1.03194 | ||||||||
\(846\) | −31371.2 | − | 11418.2i | −1.27490 | − | 0.464025i | ||||
\(847\) | 2208.61 | + | 12525.7i | 0.0895971 | + | 0.508131i | ||||
\(848\) | −935.519 | + | 784.993i | −0.0378843 | + | 0.0317887i | ||||
\(849\) | 52958.7 | + | 44437.6i | 2.14080 | + | 1.79634i | ||||
\(850\) | −5245.85 | −0.211684 | ||||||||
\(851\) | −31516.2 | + | 25846.9i | −1.26952 | + | 1.04115i | ||||
\(852\) | −16015.0 | −0.643972 | ||||||||
\(853\) | −6759.26 | − | 5671.69i | −0.271316 | − | 0.227661i | 0.496970 | − | 0.867768i | \(-0.334446\pi\) |
−0.768286 | + | 0.640106i | \(0.778890\pi\) | |||||||
\(854\) | −22825.9 | + | 19153.2i | −0.914622 | + | 0.767459i | ||||
\(855\) | −9577.07 | − | 54314.3i | −0.383075 | − | 2.17253i | ||||
\(856\) | −9534.07 | − | 3470.12i | −0.380687 | − | 0.138559i | ||||
\(857\) | −5041.77 | −0.200961 | −0.100480 | − | 0.994939i | \(-0.532038\pi\) | ||||
−0.100480 | + | 0.994939i | \(0.532038\pi\) | |||||||
\(858\) | −8744.05 | − | 3182.57i | −0.347922 | − | 0.126633i | ||||
\(859\) | 8540.87 | − | 14793.2i | 0.339244 | − | 0.587588i | −0.645046 | − | 0.764143i | \(-0.723162\pi\) |
0.984291 | + | 0.176555i | \(0.0564953\pi\) | |||||||
\(860\) | −180.557 | + | 1023.99i | −0.00715922 | + | 0.0406020i | ||||
\(861\) | 43960.4 | + | 76141.7i | 1.74003 | + | 3.01382i | ||||
\(862\) | −2865.17 | + | 4962.62i | −0.113211 | + | 0.196088i | ||||
\(863\) | −5549.48 | − | 4656.57i | −0.218895 | − | 0.183675i | 0.526746 | − | 0.850023i | \(-0.323412\pi\) |
−0.745641 | + | 0.666348i | \(0.767856\pi\) | |||||||
\(864\) | −1822.32 | − | 10334.9i | −0.0717552 | − | 0.406944i | ||||
\(865\) | −12481.2 | − | 21618.0i | −0.490604 | − | 0.849752i | ||||
\(866\) | 3740.90 | − | 1361.58i | 0.146791 | − | 0.0534276i | ||||
\(867\) | 43499.0 | − | 15832.3i | 1.70392 | − | 0.620177i | ||||
\(868\) | −1852.64 | + | 10506.9i | −0.0724456 | + | 0.410860i | ||||
\(869\) | −8457.49 | + | 7096.68i | −0.330151 | + | 0.277029i | ||||
\(870\) | 8024.82 | − | 6733.62i | 0.312720 | − | 0.262404i | ||||
\(871\) | −32.5511 | + | 184.606i | −0.00126630 | + | 0.00718157i | ||||
\(872\) | −4915.14 | + | 1788.97i | −0.190881 | + | 0.0694748i | ||||
\(873\) | −20198.2 | + | 7351.55i | −0.783054 | + | 0.285008i | ||||
\(874\) | 13132.3 | + | 22745.8i | 0.508245 | + | 0.880307i | ||||
\(875\) | 6039.95 | + | 34254.3i | 0.233357 | + | 1.32344i | ||||
\(876\) | 1059.20 | + | 888.777i | 0.0408529 | + | 0.0342797i | ||||
\(877\) | −13788.3 | + | 23882.0i | −0.530897 | + | 0.919540i | 0.468453 | + | 0.883488i | \(0.344811\pi\) |
−0.999350 | + | 0.0360519i | \(0.988522\pi\) | |||||||
\(878\) | −3786.10 | − | 6557.72i | −0.145529 | − | 0.252064i | ||||
\(879\) | 1681.30 | − | 9535.11i | 0.0645150 | − | 0.365883i | ||||
\(880\) | 4147.37 | − | 7183.45i | 0.158872 | − | 0.275175i | ||||
\(881\) | 4090.36 | + | 1488.77i | 0.156422 | + | 0.0569330i | 0.419044 | − | 0.907966i | \(-0.362365\pi\) |
−0.262622 | + | 0.964899i | \(0.584587\pi\) | |||||||
\(882\) | 59285.2 | 2.26331 | ||||||||
\(883\) | 33644.5 | + | 12245.6i | 1.28225 | + | 0.466701i | 0.891176 | − | 0.453657i | \(-0.149881\pi\) |
0.391075 | + | 0.920359i | \(0.372103\pi\) | |||||||
\(884\) | 806.972 | + | 4576.57i | 0.0307030 | + | 0.174125i | ||||
\(885\) | −69627.8 | + | 58424.7i | −2.64465 | + | 2.21912i | ||||
\(886\) | 10164.6 | + | 8529.14i | 0.385426 | + | 0.323411i | ||||
\(887\) | 14654.2 | 0.554723 | 0.277361 | − | 0.960766i | \(-0.410540\pi\) | ||||
0.277361 | + | 0.960766i | \(0.410540\pi\) | |||||||
\(888\) | 16007.9 | − | 5623.36i | 0.604944 | − | 0.212508i | ||||
\(889\) | −19137.2 | −0.721980 | ||||||||
\(890\) | 3232.24 | + | 2712.17i | 0.121736 | + | 0.102148i | ||||
\(891\) | 45878.7 | − | 38496.8i | 1.72502 | − | 1.44746i | ||||
\(892\) | −2606.26 | − | 14780.8i | −0.0978296 | − | 0.554819i | ||||
\(893\) | −18404.3 | − | 6698.61i | −0.689670 | − | 0.251020i | ||||
\(894\) | −17816.0 | −0.666505 | ||||||||
\(895\) | −10427.2 | − | 3795.19i | −0.389434 | − | 0.141742i | ||||
\(896\) | −1835.63 | + | 3179.41i | −0.0684422 | + | 0.118545i | ||||
\(897\) | −3473.45 | + | 19698.9i | −0.129292 | + | 0.733253i | ||||
\(898\) | −13988.2 | − | 24228.3i | −0.519815 | − | 0.900345i | ||||
\(899\) | 2099.98 | − | 3637.28i | 0.0779070 | − | 0.134939i | ||||
\(900\) | 5011.00 | + | 4204.73i | 0.185593 | + | 0.155731i | ||||
\(901\) | 1313.78 | + | 7450.79i | 0.0485774 | + | 0.275496i | ||||
\(902\) | −13702.8 | − | 23733.9i | −0.505823 | − | 0.876111i | ||||
\(903\) | 5364.56 | − | 1952.54i | 0.197698 | − | 0.0719562i | ||||
\(904\) | −9694.37 | + | 3528.46i | −0.356670 | + | 0.129817i | ||||
\(905\) | 3654.92 | − | 20728.1i | 0.134247 | − | 0.761353i | ||||
\(906\) | 18708.8 | − | 15698.6i | 0.686047 | − | 0.575662i | ||||
\(907\) | 24123.4 | − | 20241.9i | 0.883135 | − | 0.741038i | −0.0836866 | − | 0.996492i | \(-0.526669\pi\) |
0.966821 | + | 0.255454i | \(0.0822250\pi\) | |||||||
\(908\) | 2878.78 | − | 16326.4i | 0.105216 | − | 0.596707i | ||||
\(909\) | −97494.6 | + | 35485.1i | −3.55742 | + | 1.29479i | ||||
\(910\) | −7775.51 | + | 2830.05i | −0.283248 | + | 0.103094i | ||||
\(911\) | 10165.2 | + | 17606.6i | 0.369690 | + | 0.640322i | 0.989517 | − | 0.144417i | \(-0.0461305\pi\) |
−0.619827 | + | 0.784739i | \(0.712797\pi\) | |||||||
\(912\) | −1898.52 | − | 10767.0i | −0.0689322 | − | 0.390934i | ||||
\(913\) | −24718.7 | − | 20741.5i | −0.896025 | − | 0.751854i | ||||
\(914\) | −8453.14 | + | 14641.3i | −0.305914 | + | 0.529858i | ||||
\(915\) | 30120.9 | + | 52171.0i | 1.08827 | + | 1.88494i | ||||
\(916\) | −469.148 | + | 2660.67i | −0.0169226 | + | 0.0959727i | ||||
\(917\) | −23481.6 | + | 40671.3i | −0.845616 | + | 1.46465i | ||||
\(918\) | −61093.1 | − | 22236.1i | −2.19648 | − | 0.799455i | ||||
\(919\) | 8679.65 | 0.311551 | 0.155775 | − | 0.987793i | \(-0.450212\pi\) | ||||
0.155775 | + | 0.987793i | \(0.450212\pi\) | |||||||
\(920\) | −16755.3 | − | 6098.44i | −0.600442 | − | 0.218543i | ||||
\(921\) | 16299.7 | + | 92440.0i | 0.583162 | + | 3.30728i | ||||
\(922\) | 15924.1 | − | 13361.9i | 0.568799 | − | 0.477279i | ||||
\(923\) | −3814.75 | − | 3200.96i | −0.136039 | − | 0.114150i | ||||
\(924\) | −45541.5 | −1.62143 | ||||||||
\(925\) | −3035.54 | + | 5123.78i | −0.107901 | + | 0.182128i | ||||
\(926\) | −26811.5 | −0.951490 | ||||||||
\(927\) | −35289.4 | − | 29611.3i | −1.25033 | − | 1.04915i | ||||
\(928\) | 1107.12 | − | 928.984i | 0.0391627 | − | 0.0328614i | ||||
\(929\) | −7388.08 | − | 41899.9i | −0.260920 | − | 1.47975i | −0.780406 | − | 0.625273i | \(-0.784988\pi\) |
0.519486 | − | 0.854479i | \(-0.326124\pi\) | |||||||
\(930\) | 20269.0 | + | 7377.30i | 0.714673 | + | 0.260120i | ||||
\(931\) | 34780.4 | 1.22436 | ||||||||
\(932\) | 5873.61 | + | 2137.82i | 0.206434 | + | 0.0751358i | ||||
\(933\) | −21528.3 | + | 37288.1i | −0.755417 | + | 1.30842i | ||||
\(934\) | −2008.58 | + | 11391.2i | −0.0703671 | + | 0.399072i | ||||
\(935\) | −25693.6 | − | 44502.7i | −0.898686 | − | 1.55657i | ||||
\(936\) | 2897.43 | − | 5018.49i | 0.101181 | − | 0.175251i | ||||
\(937\) | 14270.8 | + | 11974.6i | 0.497551 | + | 0.417495i | 0.856723 | − | 0.515777i | \(-0.172497\pi\) |
−0.359172 | + | 0.933271i | \(0.616941\pi\) | |||||||
\(938\) | 159.311 | + | 903.497i | 0.00554551 | + | 0.0314501i | ||||
\(939\) | −27578.9 | − | 47768.1i | −0.958471 | − | 1.66012i | ||||
\(940\) | 12494.4 | − | 4547.59i | 0.433534 | − | 0.157794i | ||||
\(941\) | −5486.60 | + | 1996.96i | −0.190072 | + | 0.0691806i | −0.435303 | − | 0.900284i | \(-0.643359\pi\) |
0.245230 | + | 0.969465i | \(0.421136\pi\) | |||||||
\(942\) | 10704.0 | − | 60705.2i | 0.370227 | − | 2.09966i | ||||
\(943\) | −45129.1 | + | 37867.8i | −1.55844 | + | 1.30768i | ||||
\(944\) | −9605.99 | + | 8060.38i | −0.331195 | + | 0.277906i | ||||
\(945\) | 20101.6 | − | 114002.i | 0.691964 | − | 3.92432i | ||||
\(946\) | −1672.17 | + | 608.619i | −0.0574703 | + | 0.0209175i | ||||
\(947\) | −10359.8 | + | 3770.65i | −0.355488 | + | 0.129387i | −0.513590 | − | 0.858036i | \(-0.671685\pi\) |
0.158102 | + | 0.987423i | \(0.449463\pi\) | |||||||
\(948\) | −4939.64 | − | 8555.71i | −0.169232 | − | 0.293119i | ||||
\(949\) | 74.6590 | + | 423.412i | 0.00255378 | + | 0.0144832i | ||||
\(950\) | 2939.76 | + | 2466.75i | 0.100398 | + | 0.0842442i | ||||
\(951\) | −47390.3 | + | 82082.4i | −1.61591 | + | 2.79885i | ||||
\(952\) | 11372.0 | + | 19697.0i | 0.387154 | + | 0.670570i | ||||
\(953\) | 2000.52 | − | 11345.5i | 0.0679991 | − | 0.385642i | −0.931747 | − | 0.363108i | \(-0.881715\pi\) |
0.999746 | − | 0.0225340i | \(-0.00717340\pi\) | |||||||
\(954\) | 4717.10 | − | 8170.26i | 0.160086 | − | 0.277277i | ||||
\(955\) | 20697.3 | + | 7533.20i | 0.701307 | + | 0.255255i | ||||
\(956\) | −3763.43 | −0.127320 | ||||||||
\(957\) | 16846.8 | + | 6131.74i | 0.569049 | + | 0.207117i | ||||
\(958\) | 5278.71 | + | 29937.0i | 0.178024 | + | 1.00963i | ||||
\(959\) | 53251.2 | − | 44683.1i | 1.79309 | − | 1.50458i | ||||
\(960\) | 5685.84 | + | 4770.98i | 0.191156 | + | 0.160399i | ||||
\(961\) | −21143.1 | −0.709714 | ||||||||
\(962\) | 4937.03 | + | 1860.07i | 0.165464 | + | 0.0623399i | ||||
\(963\) | 78379.0 | 2.62277 | ||||||||
\(964\) | −8307.81 | − | 6971.08i | −0.277569 | − | 0.232908i | ||||
\(965\) | 22729.7 | − | 19072.4i | 0.758232 | − | 0.636232i | ||||
\(966\) | 16999.7 | + | 96410.2i | 0.566208 | + | 3.21112i | ||||
\(967\) | −1447.75 | − | 526.938i | −0.0481453 | − | 0.0175235i | 0.317835 | − | 0.948146i | \(-0.397044\pi\) |
−0.365981 | + | 0.930622i | \(0.619266\pi\) | |||||||
\(968\) | 3547.59 | 0.117793 | ||||||||
\(969\) | −63647.7 | − | 23165.9i | −2.11007 | − | 0.768003i | ||||
\(970\) | 4280.37 | − | 7413.82i | 0.141685 | − | 0.245406i | ||||
\(971\) | 7414.80 | − | 42051.4i | 0.245059 | − | 1.38980i | −0.575297 | − | 0.817945i | \(-0.695113\pi\) |
0.820356 | − | 0.571854i | \(-0.193775\pi\) | |||||||
\(972\) | 9086.52 | + | 15738.3i | 0.299846 | + | 0.519349i | ||||
\(973\) | 37524.0 | − | 64993.5i | 1.23635 | − | 2.14142i | ||||
\(974\) | 2295.73 | + | 1926.34i | 0.0755234 | + | 0.0633717i | ||||
\(975\) | 507.515 | + | 2878.26i | 0.0166702 | + | 0.0945416i | ||||
\(976\) | 4155.55 | + | 7197.62i | 0.136287 | + | 0.236055i | ||||
\(977\) | 3493.08 | − | 1271.38i | 0.114384 | − | 0.0416325i | −0.284194 | − | 0.958767i | \(-0.591726\pi\) |
0.398578 | + | 0.917134i | \(0.369504\pi\) | |||||||
\(978\) | −37071.6 | + | 13492.9i | −1.21208 | + | 0.441162i | ||||
\(979\) | −1253.92 | + | 7111.34i | −0.0409351 | + | 0.232155i | ||||
\(980\) | −18087.7 | + | 15177.4i | −0.589584 | + | 0.494719i | ||||
\(981\) | 30953.6 | − | 25973.2i | 1.00741 | − | 0.845321i | ||||
\(982\) | −3592.39 | + | 20373.4i | −0.116739 | + | 0.662060i | ||||
\(983\) | 48498.4 | − | 17652.0i | 1.57361 | − | 0.572747i | 0.599807 | − | 0.800145i | \(-0.295244\pi\) |
0.973802 | + | 0.227398i | \(0.0730217\pi\) | |||||||
\(984\) | 23044.2 | − | 8387.40i | 0.746568 | − | 0.271728i | ||||
\(985\) | −5141.16 | − | 8904.75i | −0.166306 | − | 0.288050i | ||||
\(986\) | −1554.76 | − | 8817.49i | −0.0502167 | − | 0.284793i | ||||
\(987\) | −55922.7 | − | 46924.7i | −1.80348 | − | 1.51330i | ||||
\(988\) | 1699.81 | − | 2944.16i | 0.0547350 | − | 0.0948038i | ||||
\(989\) | 1912.62 | + | 3312.75i | 0.0614942 | + | 0.106511i | ||||
\(990\) | −11127.0 | + | 63104.6i | −0.357213 | + | 2.02585i | ||||
\(991\) | 16216.4 | − | 28087.6i | 0.519808 | − | 0.900334i | −0.479927 | − | 0.877309i | \(-0.659337\pi\) |
0.999735 | − | 0.0230255i | \(-0.00732989\pi\) | |||||||
\(992\) | 2796.35 | + | 1017.79i | 0.0895001 | + | 0.0325754i | ||||
\(993\) | 25497.8 | 0.814853 | ||||||||
\(994\) | −22902.3 | − | 8335.74i | −0.730801 | − | 0.265990i | ||||
\(995\) | −5852.86 | − | 33193.2i | −0.186481 | − | 1.05758i | ||||
\(996\) | 22118.9 | − | 18560.0i | 0.703680 | − | 0.590458i | ||||
\(997\) | −8871.20 | − | 7443.82i | −0.281799 | − | 0.236458i | 0.490921 | − | 0.871204i | \(-0.336660\pi\) |
−0.772721 | + | 0.634746i | \(0.781105\pi\) | |||||||
\(998\) | 20696.8 | 0.656460 | ||||||||
\(999\) | −57070.5 | + | 46804.4i | −1.80744 | + | 1.48231i |
(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 | 74.4.f.b.71.1 | yes | 30 | |
37.12 | even | 9 | inner | 74.4.f.b.49.1 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.4.f.b.49.1 | ✓ | 30 | 37.12 | even | 9 | inner | |
74.4.f.b.71.1 | yes | 30 | 1.1 | even | 1 | trivial |