Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [65,3,Mod(6,65)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(65, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("65.6");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 65 = 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 65.p (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.77112171834\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 6.4 | ||
Character | \(\chi\) | \(=\) | 65.6 |
Dual form | 65.3.p.a.11.4 |
$q$-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 \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(41\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.305985 | − | 1.14195i | −0.152993 | − | 0.570976i | −0.999269 | − | 0.0382317i | \(-0.987827\pi\) |
0.846276 | − | 0.532744i | \(-0.178839\pi\) | |||||||
\(3\) | 2.30106 | − | 3.98555i | 0.767019 | − | 1.32852i | −0.172154 | − | 0.985070i | \(-0.555073\pi\) |
0.939173 | − | 0.343445i | \(-0.111594\pi\) | |||||||
\(4\) | 2.25367 | − | 1.30116i | 0.563419 | − | 0.325290i | ||||
\(5\) | −1.58114 | + | 1.58114i | −0.316228 | + | 0.316228i | ||||
\(6\) | −5.25539 | − | 1.40818i | −0.875898 | − | 0.234696i | ||||
\(7\) | −3.05692 | + | 11.4086i | −0.436702 | + | 1.62980i | 0.300257 | + | 0.953858i | \(0.402927\pi\) |
−0.736959 | + | 0.675937i | \(0.763739\pi\) | |||||||
\(8\) | −5.51932 | − | 5.51932i | −0.689915 | − | 0.689915i | ||||
\(9\) | −6.08971 | − | 10.5477i | −0.676635 | − | 1.17197i | ||||
\(10\) | 2.28939 | + | 1.32178i | 0.228939 | + | 0.132178i | ||||
\(11\) | 16.5588 | − | 4.43691i | 1.50534 | − | 0.403355i | 0.590457 | − | 0.807069i | \(-0.298948\pi\) |
0.914885 | + | 0.403714i | \(0.132281\pi\) | |||||||
\(12\) | − | 11.9762i | − | 0.998014i | ||||||
\(13\) | −9.22487 | + | 9.15979i | −0.709606 | + | 0.704599i | ||||
\(14\) | 13.9634 | 0.997386 | ||||||||
\(15\) | 2.66341 | + | 9.93999i | 0.177561 | + | 0.662666i | ||||
\(16\) | 0.590672 | − | 1.02307i | 0.0369170 | − | 0.0639421i | ||||
\(17\) | −2.58241 | + | 1.49095i | −0.151906 | + | 0.0877032i | −0.574027 | − | 0.818837i | \(-0.694619\pi\) |
0.422120 | + | 0.906540i | \(0.361286\pi\) | |||||||
\(18\) | −10.1816 | + | 10.1816i | −0.565644 | + | 0.565644i | ||||
\(19\) | −7.87244 | − | 2.10941i | −0.414339 | − | 0.111022i | 0.0456266 | − | 0.998959i | \(-0.485472\pi\) |
−0.459965 | + | 0.887937i | \(0.652138\pi\) | |||||||
\(20\) | −1.50606 | + | 5.62069i | −0.0753029 | + | 0.281034i | ||||
\(21\) | 38.4352 | + | 38.4352i | 1.83025 | + | 1.83025i | ||||
\(22\) | −10.1335 | − | 17.5517i | −0.460612 | − | 0.797804i | ||||
\(23\) | 12.9475 | + | 7.47524i | 0.562934 | + | 0.325010i | 0.754322 | − | 0.656504i | \(-0.227966\pi\) |
−0.191388 | + | 0.981514i | \(0.561299\pi\) | |||||||
\(24\) | −34.6978 | + | 9.29724i | −1.44574 | + | 0.387385i | ||||
\(25\) | − | 5.00000i | − | 0.200000i | ||||||
\(26\) | 13.2827 | + | 7.73160i | 0.510873 | + | 0.297369i | ||||
\(27\) | −14.6321 | −0.541929 | ||||||||
\(28\) | 7.95507 | + | 29.6887i | 0.284110 | + | 1.06031i | ||||
\(29\) | 6.17896 | − | 10.7023i | 0.213067 | − | 0.369044i | −0.739606 | − | 0.673041i | \(-0.764988\pi\) |
0.952673 | + | 0.303997i | \(0.0983212\pi\) | |||||||
\(30\) | 10.5360 | − | 6.08298i | 0.351201 | − | 0.202766i | ||||
\(31\) | −22.8534 | + | 22.8534i | −0.737206 | + | 0.737206i | −0.972036 | − | 0.234831i | \(-0.924546\pi\) |
0.234831 | + | 0.972036i | \(0.424546\pi\) | |||||||
\(32\) | −31.5072 | − | 8.44232i | −0.984599 | − | 0.263822i | ||||
\(33\) | 20.4191 | − | 76.2053i | 0.618762 | − | 2.30925i | ||||
\(34\) | 2.49278 | + | 2.49278i | 0.0733170 | + | 0.0733170i | ||||
\(35\) | −13.2051 | − | 22.8719i | −0.377289 | − | 0.653484i | ||||
\(36\) | −27.4485 | − | 15.8474i | −0.762457 | − | 0.440205i | ||||
\(37\) | 44.9162 | − | 12.0353i | 1.21395 | − | 0.325277i | 0.405640 | − | 0.914033i | \(-0.367049\pi\) |
0.808311 | + | 0.588756i | \(0.200382\pi\) | |||||||
\(38\) | 9.63539i | 0.253563i | ||||||||
\(39\) | 15.2798 | + | 57.8433i | 0.391790 | + | 1.48316i | ||||
\(40\) | 17.4536 | 0.436340 | ||||||||
\(41\) | 2.59339 | + | 9.67866i | 0.0632534 | + | 0.236065i | 0.990314 | − | 0.138847i | \(-0.0443396\pi\) |
−0.927060 | + | 0.374912i | \(0.877673\pi\) | |||||||
\(42\) | 32.1306 | − | 55.6518i | 0.765013 | − | 1.32504i | ||||
\(43\) | −42.2359 | + | 24.3849i | −0.982231 | + | 0.567091i | −0.902943 | − | 0.429760i | \(-0.858598\pi\) |
−0.0792881 | + | 0.996852i | \(0.525265\pi\) | |||||||
\(44\) | 31.5449 | − | 31.5449i | 0.716930 | − | 0.716930i | ||||
\(45\) | 26.3060 | + | 7.04868i | 0.584579 | + | 0.156637i | ||||
\(46\) | 4.57462 | − | 17.0727i | 0.0994483 | − | 0.371146i | ||||
\(47\) | −55.7023 | − | 55.7023i | −1.18516 | − | 1.18516i | −0.978391 | − | 0.206764i | \(-0.933707\pi\) |
−0.206764 | − | 0.978391i | \(-0.566293\pi\) | |||||||
\(48\) | −2.71834 | − | 4.70830i | −0.0566321 | − | 0.0980896i | ||||
\(49\) | −78.3754 | − | 45.2501i | −1.59950 | − | 0.923471i | ||||
\(50\) | −5.70976 | + | 1.52993i | −0.114195 | + | 0.0305985i | ||||
\(51\) | 13.7231i | 0.269080i | ||||||||
\(52\) | −8.87152 | + | 32.6462i | −0.170606 | + | 0.627812i | ||||
\(53\) | −19.2903 | −0.363969 | −0.181984 | − | 0.983301i | \(-0.558252\pi\) | ||||
−0.181984 | + | 0.983301i | \(0.558252\pi\) | |||||||
\(54\) | 4.47719 | + | 16.7091i | 0.0829110 | + | 0.309428i | ||||
\(55\) | −19.1663 | + | 33.1971i | −0.348479 | + | 0.603583i | ||||
\(56\) | 79.8396 | − | 46.0954i | 1.42571 | − | 0.823133i | ||||
\(57\) | −26.5221 | + | 26.5221i | −0.465300 | + | 0.465300i | ||||
\(58\) | −14.1121 | − | 3.78134i | −0.243313 | − | 0.0651955i | ||||
\(59\) | −2.26110 | + | 8.43852i | −0.0383236 | + | 0.143026i | −0.982437 | − | 0.186596i | \(-0.940255\pi\) |
0.944113 | + | 0.329622i | \(0.106921\pi\) | |||||||
\(60\) | 18.9360 | + | 18.9360i | 0.315600 | + | 0.315600i | ||||
\(61\) | 32.1528 | + | 55.6903i | 0.527095 | + | 0.912956i | 0.999501 | + | 0.0315750i | \(0.0100523\pi\) |
−0.472406 | + | 0.881381i | \(0.656614\pi\) | |||||||
\(62\) | 33.0902 | + | 19.1047i | 0.533714 | + | 0.308140i | ||||
\(63\) | 138.950 | − | 37.2315i | 2.20555 | − | 0.590976i | ||||
\(64\) | 33.8375i | 0.528711i | ||||||||
\(65\) | 0.102913 | − | 29.0687i | 0.00158328 | − | 0.447211i | ||||
\(66\) | −93.2707 | −1.41319 | ||||||||
\(67\) | −1.56498 | − | 5.84058i | −0.0233579 | − | 0.0871728i | 0.953263 | − | 0.302142i | \(-0.0977016\pi\) |
−0.976621 | + | 0.214969i | \(0.931035\pi\) | |||||||
\(68\) | −3.87994 | + | 6.72025i | −0.0570580 | + | 0.0988273i | ||||
\(69\) | 59.5858 | − | 34.4019i | 0.863562 | − | 0.498578i | ||||
\(70\) | −22.0781 | + | 22.0781i | −0.315401 | + | 0.315401i | ||||
\(71\) | −55.5090 | − | 14.8736i | −0.781816 | − | 0.209487i | −0.154231 | − | 0.988035i | \(-0.549290\pi\) |
−0.627585 | + | 0.778548i | \(0.715957\pi\) | |||||||
\(72\) | −24.6050 | + | 91.8271i | −0.341736 | + | 1.27538i | ||||
\(73\) | −25.0012 | − | 25.0012i | −0.342482 | − | 0.342482i | 0.514818 | − | 0.857300i | \(-0.327860\pi\) |
−0.857300 | + | 0.514818i | \(0.827860\pi\) | |||||||
\(74\) | −27.4874 | − | 47.6095i | −0.371451 | − | 0.643372i | ||||
\(75\) | −19.9277 | − | 11.5053i | −0.265703 | − | 0.153404i | ||||
\(76\) | −20.4866 | + | 5.48937i | −0.269561 | + | 0.0722285i | ||||
\(77\) | 202.475i | 2.62955i | ||||||||
\(78\) | 61.3789 | − | 35.1480i | 0.786909 | − | 0.450615i | ||||
\(79\) | −6.57443 | −0.0832206 | −0.0416103 | − | 0.999134i | \(-0.513249\pi\) | ||||
−0.0416103 | + | 0.999134i | \(0.513249\pi\) | |||||||
\(80\) | 0.683688 | + | 2.55156i | 0.00854610 | + | 0.0318945i | ||||
\(81\) | 21.1382 | − | 36.6125i | 0.260966 | − | 0.452006i | ||||
\(82\) | 10.2590 | − | 5.92305i | 0.125110 | − | 0.0722323i | ||||
\(83\) | −26.1594 | + | 26.1594i | −0.315174 | + | 0.315174i | −0.846910 | − | 0.531736i | \(-0.821540\pi\) |
0.531736 | + | 0.846910i | \(0.321540\pi\) | |||||||
\(84\) | 136.631 | + | 36.6101i | 1.62656 | + | 0.435835i | ||||
\(85\) | 1.72574 | − | 6.44055i | 0.0203028 | − | 0.0757712i | ||||
\(86\) | 40.7700 | + | 40.7700i | 0.474069 | + | 0.474069i | ||||
\(87\) | −28.4362 | − | 49.2530i | −0.326853 | − | 0.566127i | ||||
\(88\) | −115.882 | − | 66.9044i | −1.31684 | − | 0.760277i | ||||
\(89\) | 17.3097 | − | 4.63811i | 0.194491 | − | 0.0521136i | −0.160259 | − | 0.987075i | \(-0.551233\pi\) |
0.354749 | + | 0.934961i | \(0.384566\pi\) | |||||||
\(90\) | − | 32.1970i | − | 0.357745i | ||||||
\(91\) | −76.3004 | − | 133.243i | −0.838466 | − | 1.46421i | ||||
\(92\) | 38.9059 | 0.422890 | ||||||||
\(93\) | 38.4963 | + | 143.670i | 0.413938 | + | 1.54484i | ||||
\(94\) | −46.5653 | + | 80.6534i | −0.495375 | + | 0.858015i | ||||
\(95\) | 15.7827 | − | 9.11214i | 0.166134 | − | 0.0959173i | ||||
\(96\) | −106.147 | + | 106.147i | −1.10570 | + | 1.10570i | ||||
\(97\) | 121.687 | + | 32.6058i | 1.25450 | + | 0.336143i | 0.824074 | − | 0.566483i | \(-0.191696\pi\) |
0.430427 | + | 0.902625i | \(0.358363\pi\) | |||||||
\(98\) | −27.6917 | + | 103.347i | −0.282568 | + | 1.05456i | ||||
\(99\) | −147.637 | − | 147.637i | −1.49129 | − | 1.49129i | ||||
\(100\) | −6.50580 | − | 11.2684i | −0.0650580 | − | 0.112684i | ||||
\(101\) | −40.3254 | − | 23.2819i | −0.399262 | − | 0.230514i | 0.286904 | − | 0.957959i | \(-0.407374\pi\) |
−0.686165 | + | 0.727446i | \(0.740707\pi\) | |||||||
\(102\) | 15.6711 | − | 4.19906i | 0.153638 | − | 0.0411672i | ||||
\(103\) | − | 78.5683i | − | 0.762799i | −0.924410 | − | 0.381400i | \(-0.875442\pi\) | ||
0.924410 | − | 0.381400i | \(-0.124558\pi\) | |||||||
\(104\) | 101.471 | + | 0.359242i | 0.975681 | + | 0.00345425i | ||||
\(105\) | −121.543 | −1.15755 | ||||||||
\(106\) | 5.90255 | + | 22.0286i | 0.0556845 | + | 0.207817i | ||||
\(107\) | 64.0677 | − | 110.969i | 0.598764 | − | 1.03709i | −0.394240 | − | 0.919008i | \(-0.628992\pi\) |
0.993004 | − | 0.118082i | \(-0.0376745\pi\) | |||||||
\(108\) | −32.9759 | + | 19.0387i | −0.305333 | + | 0.176284i | ||||
\(109\) | −0.137506 | + | 0.137506i | −0.00126152 | + | 0.00126152i | −0.707737 | − | 0.706476i | \(-0.750284\pi\) |
0.706476 | + | 0.707737i | \(0.250284\pi\) | |||||||
\(110\) | 43.7741 | + | 11.7292i | 0.397946 | + | 0.106629i | ||||
\(111\) | 55.3876 | − | 206.709i | 0.498987 | − | 1.86225i | ||||
\(112\) | 9.86617 | + | 9.86617i | 0.0880908 | + | 0.0880908i | ||||
\(113\) | 25.7775 | + | 44.6480i | 0.228120 | + | 0.395115i | 0.957251 | − | 0.289259i | \(-0.0934089\pi\) |
−0.729131 | + | 0.684374i | \(0.760076\pi\) | |||||||
\(114\) | 38.4023 | + | 22.1716i | 0.336862 | + | 0.194488i | ||||
\(115\) | −32.2912 | + | 8.65239i | −0.280793 | + | 0.0752382i | ||||
\(116\) | − | 32.1592i | − | 0.277235i | ||||||
\(117\) | 152.791 | + | 41.5207i | 1.30591 | + | 0.354878i | ||||
\(118\) | 10.3282 | 0.0875275 | ||||||||
\(119\) | −9.11545 | − | 34.0193i | −0.0766004 | − | 0.285877i | ||||
\(120\) | 40.1617 | − | 69.5622i | 0.334681 | − | 0.579685i | ||||
\(121\) | 149.717 | − | 86.4394i | 1.23733 | − | 0.714375i | ||||
\(122\) | 53.7574 | − | 53.7574i | 0.440634 | − | 0.440634i | ||||
\(123\) | 44.5423 | + | 11.9351i | 0.362132 | + | 0.0970331i | ||||
\(124\) | −21.7682 | + | 81.2400i | −0.175550 | + | 0.655161i | ||||
\(125\) | 7.90569 | + | 7.90569i | 0.0632456 | + | 0.0632456i | ||||
\(126\) | −85.0331 | − | 147.282i | −0.674866 | − | 1.16890i | ||||
\(127\) | −94.9196 | − | 54.8019i | −0.747399 | − | 0.431511i | 0.0773546 | − | 0.997004i | \(-0.475353\pi\) |
−0.824753 | + | 0.565493i | \(0.808686\pi\) | |||||||
\(128\) | −87.3878 | + | 23.4155i | −0.682718 | + | 0.182934i | ||||
\(129\) | 224.444i | 1.73988i | ||||||||
\(130\) | −33.2265 | + | 8.77707i | −0.255589 | + | 0.0675159i | ||||
\(131\) | 96.9267 | 0.739898 | 0.369949 | − | 0.929052i | \(-0.379375\pi\) | ||||
0.369949 | + | 0.929052i | \(0.379375\pi\) | |||||||
\(132\) | −53.1371 | − | 198.310i | −0.402554 | − | 1.50235i | ||||
\(133\) | 48.1308 | − | 83.3649i | 0.361886 | − | 0.626804i | ||||
\(134\) | −6.19080 | + | 3.57426i | −0.0462000 | + | 0.0266736i | ||||
\(135\) | 23.1353 | − | 23.1353i | 0.171373 | − | 0.171373i | ||||
\(136\) | 22.4822 | + | 6.02409i | 0.165310 | + | 0.0442948i | ||||
\(137\) | 35.9992 | − | 134.351i | 0.262768 | − | 0.980664i | −0.700834 | − | 0.713324i | \(-0.747189\pi\) |
0.963602 | − | 0.267340i | \(-0.0861446\pi\) | |||||||
\(138\) | −57.5176 | − | 57.5176i | −0.416794 | − | 0.416794i | ||||
\(139\) | 68.8214 | + | 119.202i | 0.495118 | + | 0.857569i | 0.999984 | − | 0.00562845i | \(-0.00179160\pi\) |
−0.504866 | + | 0.863197i | \(0.668458\pi\) | |||||||
\(140\) | −59.5201 | − | 34.3639i | −0.425143 | − | 0.245457i | ||||
\(141\) | −350.178 | + | 93.8299i | −2.48353 | + | 0.665460i | ||||
\(142\) | 67.9397i | 0.478448i | ||||||||
\(143\) | −112.111 | + | 192.605i | −0.783996 | + | 1.34689i | ||||
\(144\) | −14.3881 | −0.0999173 | ||||||||
\(145\) | 7.15198 | + | 26.6916i | 0.0493240 | + | 0.184080i | ||||
\(146\) | −20.9001 | + | 36.2001i | −0.143152 | + | 0.247946i | ||||
\(147\) | −360.692 | + | 208.246i | −2.45369 | + | 1.41664i | ||||
\(148\) | 85.5667 | − | 85.5667i | 0.578153 | − | 0.578153i | ||||
\(149\) | −186.116 | − | 49.8698i | −1.24910 | − | 0.334696i | −0.427114 | − | 0.904198i | \(-0.640470\pi\) |
−0.821990 | + | 0.569502i | \(0.807136\pi\) | |||||||
\(150\) | −7.04089 | + | 26.2769i | −0.0469392 | + | 0.175180i | ||||
\(151\) | 119.358 | + | 119.358i | 0.790448 | + | 0.790448i | 0.981567 | − | 0.191119i | \(-0.0612116\pi\) |
−0.191119 | + | 0.981567i | \(0.561212\pi\) | |||||||
\(152\) | 31.8080 | + | 55.0930i | 0.209263 | + | 0.362454i | ||||
\(153\) | 31.4523 | + | 18.1590i | 0.205570 | + | 0.118686i | ||||
\(154\) | 231.217 | − | 61.9543i | 1.50141 | − | 0.402301i | ||||
\(155\) | − | 72.2687i | − | 0.466250i | ||||||
\(156\) | 109.699 | + | 110.479i | 0.703199 | + | 0.708196i | ||||
\(157\) | 300.090 | 1.91140 | 0.955699 | − | 0.294344i | \(-0.0951012\pi\) | ||||
0.955699 | + | 0.294344i | \(0.0951012\pi\) | |||||||
\(158\) | 2.01168 | + | 7.50768i | 0.0127321 | + | 0.0475169i | ||||
\(159\) | −44.3881 | + | 76.8825i | −0.279171 | + | 0.483538i | ||||
\(160\) | 63.1657 | − | 36.4687i | 0.394785 | − | 0.227929i | ||||
\(161\) | −124.861 | + | 124.861i | −0.775535 | + | 0.775535i | ||||
\(162\) | −48.2776 | − | 12.9360i | −0.298010 | − | 0.0798516i | ||||
\(163\) | −57.8462 | + | 215.885i | −0.354884 | + | 1.32445i | 0.525746 | + | 0.850642i | \(0.323786\pi\) |
−0.880630 | + | 0.473805i | \(0.842880\pi\) | |||||||
\(164\) | 18.4381 | + | 18.4381i | 0.112428 | + | 0.112428i | ||||
\(165\) | 88.2056 | + | 152.777i | 0.534579 | + | 0.925919i | ||||
\(166\) | 37.8772 | + | 21.8684i | 0.228176 | + | 0.131737i | ||||
\(167\) | 1.42275 | − | 0.381224i | 0.00851945 | − | 0.00228278i | −0.254557 | − | 0.967058i | \(-0.581930\pi\) |
0.263076 | + | 0.964775i | \(0.415263\pi\) | |||||||
\(168\) | − | 424.272i | − | 2.52543i | ||||||
\(169\) | 1.19662 | − | 168.996i | 0.00708062 | − | 0.999975i | ||||
\(170\) | −7.88285 | −0.0463697 | ||||||||
\(171\) | 25.6914 | + | 95.8818i | 0.150242 | + | 0.560712i | ||||
\(172\) | −63.4574 | + | 109.911i | −0.368938 | + | 0.639020i | ||||
\(173\) | 106.095 | − | 61.2541i | 0.613267 | − | 0.354070i | −0.160976 | − | 0.986958i | \(-0.551464\pi\) |
0.774243 | + | 0.632888i | \(0.218131\pi\) | |||||||
\(174\) | −47.5435 | + | 47.5435i | −0.273239 | + | 0.273239i | ||||
\(175\) | 57.0428 | + | 15.2846i | 0.325959 | + | 0.0873405i | ||||
\(176\) | 5.24151 | − | 19.5616i | 0.0297813 | − | 0.111145i | ||||
\(177\) | 28.4292 | + | 28.4292i | 0.160617 | + | 0.160617i | ||||
\(178\) | −10.5930 | − | 18.3476i | −0.0595112 | − | 0.103077i | ||||
\(179\) | 35.3427 | + | 20.4051i | 0.197445 | + | 0.113995i | 0.595463 | − | 0.803382i | \(-0.296969\pi\) |
−0.398018 | + | 0.917378i | \(0.630302\pi\) | |||||||
\(180\) | 68.4567 | − | 18.3429i | 0.380315 | − | 0.101905i | ||||
\(181\) | − | 111.050i | − | 0.613537i | −0.951784 | − | 0.306769i | \(-0.900752\pi\) | ||
0.951784 | − | 0.306769i | \(-0.0992478\pi\) | |||||||
\(182\) | −128.811 | + | 127.902i | −0.707751 | + | 0.702757i | ||||
\(183\) | 295.942 | 1.61717 | ||||||||
\(184\) | −30.2031 | − | 112.720i | −0.164147 | − | 0.612606i | ||||
\(185\) | −51.9893 | + | 90.0481i | −0.281023 | + | 0.486747i | ||||
\(186\) | 152.285 | − | 87.9218i | 0.818736 | − | 0.472698i | ||||
\(187\) | −36.1463 | + | 36.1463i | −0.193296 | + | 0.193296i | ||||
\(188\) | −198.012 | − | 53.0573i | −1.05326 | − | 0.282220i | ||||
\(189\) | 44.7290 | − | 166.931i | 0.236661 | − | 0.883233i | ||||
\(190\) | −15.2349 | − | 15.2349i | −0.0801837 | − | 0.0801837i | ||||
\(191\) | 63.8855 | + | 110.653i | 0.334479 | + | 0.579335i | 0.983385 | − | 0.181534i | \(-0.0581063\pi\) |
−0.648906 | + | 0.760869i | \(0.724773\pi\) | |||||||
\(192\) | 134.861 | + | 77.8620i | 0.702400 | + | 0.405531i | ||||
\(193\) | 233.179 | − | 62.4802i | 1.20818 | − | 0.323731i | 0.402134 | − | 0.915581i | \(-0.368269\pi\) |
0.806048 | + | 0.591850i | \(0.201602\pi\) | |||||||
\(194\) | − | 148.937i | − | 0.767717i | ||||||
\(195\) | −115.618 | − | 67.2989i | −0.592912 | − | 0.345122i | ||||
\(196\) | −235.510 | −1.20158 | ||||||||
\(197\) | 1.93072 | + | 7.20553i | 0.00980059 | + | 0.0365763i | 0.970653 | − | 0.240484i | \(-0.0773063\pi\) |
−0.960852 | + | 0.277061i | \(0.910640\pi\) | |||||||
\(198\) | −123.420 | + | 213.769i | −0.623332 | + | 1.07964i | ||||
\(199\) | −84.7155 | + | 48.9105i | −0.425706 | + | 0.245781i | −0.697516 | − | 0.716570i | \(-0.745711\pi\) |
0.271810 | + | 0.962351i | \(0.412378\pi\) | |||||||
\(200\) | −27.5966 | + | 27.5966i | −0.137983 | + | 0.137983i | ||||
\(201\) | −26.8790 | − | 7.20220i | −0.133726 | − | 0.0358319i | ||||
\(202\) | −14.2478 | + | 53.1736i | −0.0705338 | + | 0.263236i | ||||
\(203\) | 103.209 | + | 103.209i | 0.508419 | + | 0.508419i | ||||
\(204\) | 17.8559 | + | 30.9274i | 0.0875290 | + | 0.151605i | ||||
\(205\) | −19.4038 | − | 11.2028i | −0.0946528 | − | 0.0546478i | ||||
\(206\) | −89.7212 | + | 24.0407i | −0.435540 | + | 0.116703i | ||||
\(207\) | − | 182.088i | − | 0.879653i | ||||||
\(208\) | 3.92226 | + | 14.8482i | 0.0188570 | + | 0.0713854i | ||||
\(209\) | −139.717 | −0.668503 | ||||||||
\(210\) | 37.1903 | + | 138.796i | 0.177097 | + | 0.660934i | ||||
\(211\) | 117.244 | − | 203.072i | 0.555657 | − | 0.962426i | −0.442195 | − | 0.896919i | \(-0.645800\pi\) |
0.997852 | − | 0.0655075i | \(-0.0208666\pi\) | |||||||
\(212\) | −43.4741 | + | 25.0998i | −0.205067 | + | 0.118395i | ||||
\(213\) | −187.009 | + | 187.009i | −0.877974 | + | 0.877974i | ||||
\(214\) | −146.325 | − | 39.2075i | −0.683759 | − | 0.183213i | ||||
\(215\) | 28.2249 | − | 105.337i | 0.131279 | − | 0.489939i | ||||
\(216\) | 80.7591 | + | 80.7591i | 0.373885 | + | 0.373885i | ||||
\(217\) | −190.863 | − | 330.585i | −0.879555 | − | 1.52343i | ||||
\(218\) | 0.199100 | + | 0.114950i | 0.000913302 | + | 0.000527295i | ||||
\(219\) | −157.172 | + | 42.1142i | −0.717682 | + | 0.192302i | ||||
\(220\) | 99.7539i | 0.453427i | ||||||||
\(221\) | 10.1656 | − | 37.4082i | 0.0459981 | − | 0.169268i | ||||
\(222\) | −253.000 | −1.13964 | ||||||||
\(223\) | −99.1981 | − | 370.212i | −0.444834 | − | 1.66014i | −0.716373 | − | 0.697717i | \(-0.754199\pi\) |
0.271539 | − | 0.962428i | \(-0.412468\pi\) | |||||||
\(224\) | 192.629 | − | 333.644i | 0.859953 | − | 1.48948i | ||||
\(225\) | −52.7385 | + | 30.4486i | −0.234393 | + | 0.135327i | ||||
\(226\) | 43.0983 | − | 43.0983i | 0.190701 | − | 0.190701i | ||||
\(227\) | −231.343 | − | 61.9880i | −1.01913 | − | 0.273075i | −0.289690 | − | 0.957120i | \(-0.593552\pi\) |
−0.729440 | + | 0.684045i | \(0.760219\pi\) | |||||||
\(228\) | −25.2627 | + | 94.2816i | −0.110801 | + | 0.413516i | ||||
\(229\) | −99.0411 | − | 99.0411i | −0.432494 | − | 0.432494i | 0.456982 | − | 0.889476i | \(-0.348930\pi\) |
−0.889476 | + | 0.456982i | \(0.848930\pi\) | |||||||
\(230\) | 19.7612 | + | 34.2275i | 0.0859184 | + | 0.148815i | ||||
\(231\) | 806.973 | + | 465.906i | 3.49339 | + | 2.01691i | ||||
\(232\) | −93.1729 | + | 24.9656i | −0.401607 | + | 0.107610i | ||||
\(233\) | − | 189.910i | − | 0.815063i | −0.913191 | − | 0.407532i | \(-0.866390\pi\) | ||
0.913191 | − | 0.407532i | \(-0.133610\pi\) | |||||||
\(234\) | 0.662701 | − | 187.185i | 0.00283206 | − | 0.799937i | ||||
\(235\) | 176.146 | 0.749558 | ||||||||
\(236\) | 5.88409 | + | 21.9597i | 0.0249326 | + | 0.0930497i | ||||
\(237\) | −15.1281 | + | 26.2027i | −0.0638317 | + | 0.110560i | ||||
\(238\) | −36.0592 | + | 20.8188i | −0.151509 | + | 0.0874740i | ||||
\(239\) | 304.550 | − | 304.550i | 1.27427 | − | 1.27427i | 0.330441 | − | 0.943827i | \(-0.392802\pi\) |
0.943827 | − | 0.330441i | \(-0.107198\pi\) | |||||||
\(240\) | 11.7425 | + | 3.14641i | 0.0489273 | + | 0.0131100i | ||||
\(241\) | −4.56649 | + | 17.0424i | −0.0189481 | + | 0.0707152i | −0.974753 | − | 0.223288i | \(-0.928321\pi\) |
0.955804 | + | 0.294003i | \(0.0949876\pi\) | |||||||
\(242\) | −144.521 | − | 144.521i | −0.597194 | − | 0.597194i | ||||
\(243\) | −163.125 | − | 282.540i | −0.671295 | − | 1.16272i | ||||
\(244\) | 144.924 | + | 83.6719i | 0.593951 | + | 0.342918i | ||||
\(245\) | 195.469 | − | 52.3758i | 0.797833 | − | 0.213779i | ||||
\(246\) | − | 54.5171i | − | 0.221614i | ||||||
\(247\) | 91.9440 | − | 52.6508i | 0.372243 | − | 0.213161i | ||||
\(248\) | 252.270 | 1.01722 | ||||||||
\(249\) | 44.0653 | + | 164.454i | 0.176969 | + | 0.660457i | ||||
\(250\) | 6.60890 | − | 11.4469i | 0.0264356 | − | 0.0457878i | ||||
\(251\) | −353.286 | + | 203.970i | −1.40751 | + | 0.812628i | −0.995148 | − | 0.0983907i | \(-0.968631\pi\) |
−0.412365 | + | 0.911019i | \(0.635297\pi\) | |||||||
\(252\) | 264.704 | − | 264.704i | 1.05041 | − | 1.05041i | ||||
\(253\) | 247.561 | + | 66.3339i | 0.978503 | + | 0.262189i | ||||
\(254\) | −33.5371 | + | 125.162i | −0.132036 | + | 0.492765i | ||||
\(255\) | −21.6981 | − | 21.6981i | −0.0850906 | − | 0.0850906i | ||||
\(256\) | 121.154 | + | 209.844i | 0.473257 | + | 0.819705i | ||||
\(257\) | 83.0481 | + | 47.9479i | 0.323145 | + | 0.186568i | 0.652793 | − | 0.757536i | \(-0.273597\pi\) |
−0.329649 | + | 0.944104i | \(0.606930\pi\) | |||||||
\(258\) | 256.305 | − | 68.6766i | 0.993429 | − | 0.266188i | ||||
\(259\) | 549.220i | 2.12054i | ||||||||
\(260\) | −37.5911 | − | 65.6453i | −0.144581 | − | 0.252482i | ||||
\(261\) | −150.512 | −0.576675 | ||||||||
\(262\) | −29.6581 | − | 110.686i | −0.113199 | − | 0.422464i | ||||
\(263\) | −235.279 | + | 407.515i | −0.894596 | + | 1.54949i | −0.0602916 | + | 0.998181i | \(0.519203\pi\) |
−0.834304 | + | 0.551304i | \(0.814130\pi\) | |||||||
\(264\) | −533.301 | + | 307.901i | −2.02008 | + | 1.16629i | ||||
\(265\) | 30.5007 | − | 30.5007i | 0.115097 | − | 0.115097i | ||||
\(266\) | −109.926 | − | 29.4546i | −0.413256 | − | 0.110732i | ||||
\(267\) | 21.3451 | − | 79.6610i | 0.0799442 | − | 0.298356i | ||||
\(268\) | −11.1265 | − | 11.1265i | −0.0415167 | − | 0.0415167i | ||||
\(269\) | 39.6616 | + | 68.6959i | 0.147441 | + | 0.255375i | 0.930281 | − | 0.366848i | \(-0.119563\pi\) |
−0.782840 | + | 0.622223i | \(0.786230\pi\) | |||||||
\(270\) | −33.4985 | − | 19.3404i | −0.124069 | − | 0.0716310i | ||||
\(271\) | −345.571 | + | 92.5955i | −1.27517 | + | 0.341681i | −0.832010 | − | 0.554761i | \(-0.812810\pi\) |
−0.443161 | + | 0.896442i | \(0.646143\pi\) | |||||||
\(272\) | 3.52266i | 0.0129510i | ||||||||
\(273\) | −706.619 | − | 2.50168i | −2.58835 | − | 0.00916366i | ||||
\(274\) | −164.438 | −0.600137 | ||||||||
\(275\) | −22.1845 | − | 82.7938i | −0.0806710 | − | 0.301068i | ||||
\(276\) | 89.5247 | − | 155.061i | 0.324365 | − | 0.561816i | ||||
\(277\) | 342.967 | − | 198.012i | 1.23815 | − | 0.714845i | 0.269433 | − | 0.963019i | \(-0.413164\pi\) |
0.968715 | + | 0.248174i | \(0.0798305\pi\) | |||||||
\(278\) | 115.065 | − | 115.065i | 0.413902 | − | 0.413902i | ||||
\(279\) | 380.221 | + | 101.880i | 1.36280 | + | 0.365161i | ||||
\(280\) | −53.3543 | + | 199.121i | −0.190551 | + | 0.711146i | ||||
\(281\) | 274.906 | + | 274.906i | 0.978313 | + | 0.978313i | 0.999770 | − | 0.0214570i | \(-0.00683050\pi\) |
−0.0214570 | + | 0.999770i | \(0.506830\pi\) | |||||||
\(282\) | 214.298 | + | 371.176i | 0.759924 | + | 1.31623i | ||||
\(283\) | −113.833 | − | 65.7217i | −0.402238 | − | 0.232232i | 0.285211 | − | 0.958465i | \(-0.407936\pi\) |
−0.687449 | + | 0.726233i | \(0.741270\pi\) | |||||||
\(284\) | −144.452 | + | 38.7058i | −0.508634 | + | 0.136288i | ||||
\(285\) | − | 83.8702i | − | 0.294281i | ||||||
\(286\) | 254.250 | + | 69.0916i | 0.888985 | + | 0.241579i | ||||
\(287\) | −118.347 | −0.412360 | ||||||||
\(288\) | 102.823 | + | 383.739i | 0.357023 | + | 1.33243i | ||||
\(289\) | −140.054 | + | 242.581i | −0.484616 | + | 0.839380i | ||||
\(290\) | 28.2921 | − | 16.3344i | 0.0975589 | − | 0.0563256i | ||||
\(291\) | 409.960 | − | 409.960i | 1.40880 | − | 1.40880i | ||||
\(292\) | −88.8750 | − | 23.8140i | −0.304367 | − | 0.0815548i | ||||
\(293\) | 29.0356 | − | 108.362i | 0.0990976 | − | 0.369837i | −0.898511 | − | 0.438951i | \(-0.855350\pi\) |
0.997609 | + | 0.0691132i | \(0.0220170\pi\) | |||||||
\(294\) | 348.173 | + | 348.173i | 1.18426 | + | 1.18426i | ||||
\(295\) | −9.76737 | − | 16.9176i | −0.0331097 | − | 0.0573477i | ||||
\(296\) | −314.333 | − | 181.480i | −1.06194 | − | 0.613109i | ||||
\(297\) | −242.289 | + | 64.9211i | −0.815788 | + | 0.218590i | ||||
\(298\) | 227.795i | 0.764414i | ||||||||
\(299\) | −187.911 | + | 49.6381i | −0.628463 | + | 0.166014i | ||||
\(300\) | −59.8808 | −0.199603 | ||||||||
\(301\) | −149.085 | − | 556.394i | −0.495300 | − | 1.84849i | ||||
\(302\) | 99.7790 | − | 172.822i | 0.330394 | − | 0.572259i | ||||
\(303\) | −185.582 | + | 107.146i | −0.612482 | + | 0.353617i | ||||
\(304\) | −6.80812 | + | 6.80812i | −0.0223951 | + | 0.0223951i | ||||
\(305\) | −138.892 | − | 37.2161i | −0.455384 | − | 0.122020i | ||||
\(306\) | 11.1127 | − | 41.4733i | 0.0363162 | − | 0.135534i | ||||
\(307\) | 166.396 | + | 166.396i | 0.542005 | + | 0.542005i | 0.924116 | − | 0.382111i | \(-0.124803\pi\) |
−0.382111 | + | 0.924116i | \(0.624803\pi\) | |||||||
\(308\) | 263.452 | + | 456.313i | 0.855365 | + | 1.48153i | ||||
\(309\) | −313.138 | − | 180.790i | −1.01339 | − | 0.585081i | ||||
\(310\) | −82.5274 | + | 22.1131i | −0.266217 | + | 0.0713327i | ||||
\(311\) | 432.782i | 1.39158i | 0.718244 | + | 0.695791i | \(0.244946\pi\) | ||||
−0.718244 | + | 0.695791i | \(0.755054\pi\) | |||||||
\(312\) | 234.922 | − | 403.590i | 0.752954 | − | 1.29356i | ||||
\(313\) | −26.2997 | −0.0840248 | −0.0420124 | − | 0.999117i | \(-0.513377\pi\) | ||||
−0.0420124 | + | 0.999117i | \(0.513377\pi\) | |||||||
\(314\) | −91.8229 | − | 342.688i | −0.292430 | − | 1.09136i | ||||
\(315\) | −160.831 | + | 278.567i | −0.510574 | + | 0.884340i | ||||
\(316\) | −14.8166 | + | 8.55438i | −0.0468880 | + | 0.0270708i | ||||
\(317\) | −120.595 | + | 120.595i | −0.380424 | + | 0.380424i | −0.871255 | − | 0.490831i | \(-0.836693\pi\) |
0.490831 | + | 0.871255i | \(0.336693\pi\) | |||||||
\(318\) | 101.378 | + | 27.1642i | 0.318799 | + | 0.0854220i | ||||
\(319\) | 54.8309 | − | 204.632i | 0.171884 | − | 0.641479i | ||||
\(320\) | −53.5018 | − | 53.5018i | −0.167193 | − | 0.167193i | ||||
\(321\) | −294.847 | − | 510.690i | −0.918526 | − | 1.59093i | ||||
\(322\) | 180.791 | + | 104.380i | 0.561463 | + | 0.324161i | ||||
\(323\) | 23.4749 | − | 6.29008i | 0.0726777 | − | 0.0194739i | ||||
\(324\) | − | 110.017i | − | 0.339558i | ||||||
\(325\) | 45.7989 | + | 46.1244i | 0.140920 | + | 0.141921i | ||||
\(326\) | 264.230 | 0.810522 | ||||||||
\(327\) | 0.231627 | + | 0.864445i | 0.000708341 | + | 0.00264356i | ||||
\(328\) | 39.1059 | − | 67.7334i | 0.119225 | − | 0.206504i | ||||
\(329\) | 805.760 | − | 465.206i | 2.44912 | − | 1.41400i | ||||
\(330\) | 147.474 | − | 147.474i | 0.446891 | − | 0.446891i | ||||
\(331\) | −44.8707 | − | 12.0231i | −0.135561 | − | 0.0363235i | 0.190401 | − | 0.981706i | \(-0.439021\pi\) |
−0.325962 | + | 0.945383i | \(0.605688\pi\) | |||||||
\(332\) | −24.9172 | + | 92.9924i | −0.0750519 | + | 0.280098i | ||||
\(333\) | −400.471 | − | 400.471i | −1.20262 | − | 1.20262i | ||||
\(334\) | −0.870679 | − | 1.50806i | −0.00260682 | − | 0.00451515i | ||||
\(335\) | 11.7092 | + | 6.76032i | 0.0349529 | + | 0.0201801i | ||||
\(336\) | 62.0247 | − | 16.6195i | 0.184597 | − | 0.0494627i | ||||
\(337\) | 248.505i | 0.737404i | 0.929548 | + | 0.368702i | \(0.120198\pi\) | ||||
−0.929548 | + | 0.368702i | \(0.879802\pi\) | |||||||
\(338\) | −193.351 | + | 50.3437i | −0.572045 | + | 0.148946i | ||||
\(339\) | 237.262 | 0.699889 | ||||||||
\(340\) | −4.49093 | − | 16.7604i | −0.0132086 | − | 0.0492952i | ||||
\(341\) | −277.025 | + | 479.822i | −0.812391 | + | 1.40710i | ||||
\(342\) | 101.631 | − | 58.6768i | 0.297167 | − | 0.171570i | ||||
\(343\) | 346.595 | − | 346.595i | 1.01048 | − | 1.01048i | ||||
\(344\) | 367.702 | + | 98.5254i | 1.06890 | + | 0.286411i | ||||
\(345\) | −39.8193 | + | 148.608i | −0.115418 | + | 0.430747i | ||||
\(346\) | −102.413 | − | 102.413i | −0.295991 | − | 0.295991i | ||||
\(347\) | 112.895 | + | 195.540i | 0.325346 | + | 0.563517i | 0.981582 | − | 0.191039i | \(-0.0611857\pi\) |
−0.656236 | + | 0.754556i | \(0.727852\pi\) | |||||||
\(348\) | −128.172 | − | 74.0002i | −0.368311 | − | 0.212644i | ||||
\(349\) | −256.385 | + | 68.6981i | −0.734627 | + | 0.196843i | −0.606689 | − | 0.794939i | \(-0.707503\pi\) |
−0.127938 | + | 0.991782i | \(0.540836\pi\) | |||||||
\(350\) | − | 69.8170i | − | 0.199477i | ||||||
\(351\) | 134.979 | − | 134.027i | 0.384556 | − | 0.381842i | ||||
\(352\) | −559.177 | −1.58857 | ||||||||
\(353\) | 97.1647 | + | 362.624i | 0.275254 | + | 1.02726i | 0.955671 | + | 0.294437i | \(0.0951322\pi\) |
−0.680417 | + | 0.732825i | \(0.738201\pi\) | |||||||
\(354\) | 23.7659 | − | 41.1637i | 0.0671352 | − | 0.116282i | ||||
\(355\) | 111.285 | − | 64.2502i | 0.313478 | − | 0.180986i | ||||
\(356\) | 32.9754 | − | 32.9754i | 0.0926277 | − | 0.0926277i | ||||
\(357\) | −156.561 | − | 41.9503i | −0.438545 | − | 0.117508i | ||||
\(358\) | 12.4873 | − | 46.6033i | 0.0348808 | − | 0.130177i | ||||
\(359\) | −173.628 | − | 173.628i | −0.483643 | − | 0.483643i | 0.422650 | − | 0.906293i | \(-0.361100\pi\) |
−0.906293 | + | 0.422650i | \(0.861100\pi\) | |||||||
\(360\) | −106.288 | − | 184.095i | −0.295243 | − | 0.511376i | ||||
\(361\) | −255.110 | − | 147.288i | −0.706675 | − | 0.407999i | ||||
\(362\) | −126.814 | + | 33.9797i | −0.350315 | + | 0.0938666i | ||||
\(363\) | − | 795.607i | − | 2.19175i | ||||||
\(364\) | −345.327 | − | 201.008i | −0.948701 | − | 0.552220i | ||||
\(365\) | 79.0607 | 0.216605 | ||||||||
\(366\) | −90.5537 | − | 337.951i | −0.247415 | − | 0.923364i | ||||
\(367\) | −274.619 | + | 475.654i | −0.748281 | + | 1.29606i | 0.200365 | + | 0.979721i | \(0.435787\pi\) |
−0.948646 | + | 0.316339i | \(0.897546\pi\) | |||||||
\(368\) | 15.2954 | − | 8.83083i | 0.0415637 | − | 0.0239968i | ||||
\(369\) | 86.2946 | − | 86.2946i | 0.233861 | − | 0.233861i | ||||
\(370\) | 118.739 | + | 31.8159i | 0.320915 | + | 0.0859889i | ||||
\(371\) | 58.9689 | − | 220.075i | 0.158946 | − | 0.593194i | ||||
\(372\) | 273.696 | + | 273.696i | 0.735741 | + | 0.735741i | ||||
\(373\) | 183.311 | + | 317.504i | 0.491450 | + | 0.851216i | 0.999952 | − | 0.00984491i | \(-0.00313378\pi\) |
−0.508502 | + | 0.861061i | \(0.669800\pi\) | |||||||
\(374\) | 52.3375 | + | 30.2171i | 0.139940 | + | 0.0807943i | ||||
\(375\) | 49.6999 | − | 13.3171i | 0.132533 | − | 0.0355122i | ||||
\(376\) | 614.877i | 1.63531i | ||||||||
\(377\) | 41.0304 | + | 155.325i | 0.108834 | + | 0.412003i | ||||
\(378\) | −204.313 | −0.540512 | ||||||||
\(379\) | 58.8236 | + | 219.533i | 0.155207 | + | 0.579242i | 0.999088 | + | 0.0427100i | \(0.0135992\pi\) |
−0.843880 | + | 0.536532i | \(0.819734\pi\) | |||||||
\(380\) | 23.7127 | − | 41.0716i | 0.0624019 | − | 0.108083i | ||||
\(381\) | −436.831 | + | 252.204i | −1.14654 | + | 0.661954i | ||||
\(382\) | 106.812 | − | 106.812i | 0.279613 | − | 0.279613i | ||||
\(383\) | 531.729 | + | 142.476i | 1.38833 | + | 0.372001i | 0.874139 | − | 0.485676i | \(-0.161427\pi\) |
0.514188 | + | 0.857677i | \(0.328093\pi\) | |||||||
\(384\) | −107.761 | + | 402.169i | −0.280627 | + | 1.04731i | ||||
\(385\) | −320.141 | − | 320.141i | −0.831535 | − | 0.831535i | ||||
\(386\) | −142.699 | − | 247.161i | −0.369686 | − | 0.640314i | ||||
\(387\) | 514.409 | + | 296.994i | 1.32922 | + | 0.767427i | ||||
\(388\) | 316.667 | − | 84.8508i | 0.816153 | − | 0.218688i | ||||
\(389\) | − | 774.949i | − | 1.99216i | −0.0884751 | − | 0.996078i | \(-0.528199\pi\) | ||
0.0884751 | − | 0.996078i | \(-0.471801\pi\) | |||||||
\(390\) | −41.4747 | + | 152.622i | −0.106345 | + | 0.391339i | ||||
\(391\) | −44.5810 | −0.114018 | ||||||||
\(392\) | 182.829 | + | 682.328i | 0.466401 | + | 1.74063i | ||||
\(393\) | 223.034 | − | 386.306i | 0.567516 | − | 0.982966i | ||||
\(394\) | 7.63760 | − | 4.40957i | 0.0193848 | − | 0.0111918i | ||||
\(395\) | 10.3951 | − | 10.3951i | 0.0263167 | − | 0.0263167i | ||||
\(396\) | −524.826 | − | 140.627i | −1.32532 | − | 0.355118i | ||||
\(397\) | 13.4656 | − | 50.2545i | 0.0339185 | − | 0.126586i | −0.946891 | − | 0.321556i | \(-0.895794\pi\) |
0.980809 | + | 0.194970i | \(0.0624610\pi\) | |||||||
\(398\) | 81.7751 | + | 81.7751i | 0.205465 | + | 0.205465i | ||||
\(399\) | −221.503 | − | 383.655i | −0.555146 | − | 0.961541i | ||||
\(400\) | −5.11537 | − | 2.95336i | −0.0127884 | − | 0.00738340i | ||||
\(401\) | 337.594 | − | 90.4582i | 0.841881 | − | 0.225581i | 0.187991 | − | 0.982171i | \(-0.439802\pi\) |
0.653890 | + | 0.756589i | \(0.273136\pi\) | |||||||
\(402\) | 32.8983i | 0.0818365i | ||||||||
\(403\) | 1.48748 | − | 420.152i | 0.00369103 | − | 1.04256i | ||||
\(404\) | −121.174 | −0.299935 | ||||||||
\(405\) | 24.4669 | + | 91.3118i | 0.0604122 | + | 0.225461i | ||||
\(406\) | 86.2793 | − | 149.440i | 0.212511 | − | 0.368079i | ||||
\(407\) | 690.357 | − | 398.578i | 1.69621 | − | 0.979307i | ||||
\(408\) | 75.7421 | − | 75.7421i | 0.185642 | − | 0.185642i | ||||
\(409\) | 318.230 | + | 85.2696i | 0.778069 | + | 0.208483i | 0.625933 | − | 0.779877i | \(-0.284718\pi\) |
0.152136 | + | 0.988360i | \(0.451385\pi\) | |||||||
\(410\) | −6.85578 | + | 25.5861i | −0.0167214 | + | 0.0624052i | ||||
\(411\) | −452.626 | − | 452.626i | −1.10128 | − | 1.10128i | ||||
\(412\) | −102.230 | − | 177.067i | −0.248131 | − | 0.429775i | ||||
\(413\) | −89.3595 | − | 51.5917i | −0.216367 | − | 0.124919i | ||||
\(414\) | −207.936 | + | 55.7163i | −0.502261 | + | 0.134580i | ||||
\(415\) | − | 82.7233i | − | 0.199333i | ||||||
\(416\) | 367.979 | − | 210.720i | 0.884566 | − | 0.506537i | ||||
\(417\) | 633.447 | 1.51906 | ||||||||
\(418\) | 42.7513 | + | 159.550i | 0.102276 | + | 0.381699i | ||||
\(419\) | −256.337 | + | 443.989i | −0.611784 | + | 1.05964i | 0.379156 | + | 0.925333i | \(0.376214\pi\) |
−0.990940 | + | 0.134308i | \(0.957119\pi\) | |||||||
\(420\) | −273.918 | + | 158.147i | −0.652186 | + | 0.376540i | ||||
\(421\) | −227.057 | + | 227.057i | −0.539328 | + | 0.539328i | −0.923332 | − | 0.384003i | \(-0.874545\pi\) |
0.384003 | + | 0.923332i | \(0.374545\pi\) | |||||||
\(422\) | −267.773 | − | 71.7496i | −0.634534 | − | 0.170023i | ||||
\(423\) | −248.320 | + | 926.742i | −0.587044 | + | 2.19088i | ||||
\(424\) | 106.470 | + | 106.470i | 0.251107 | + | 0.251107i | ||||
\(425\) | 7.45477 | + | 12.9120i | 0.0175406 | + | 0.0303813i | ||||
\(426\) | 270.777 | + | 156.333i | 0.635626 | + | 0.366979i | ||||
\(427\) | −733.635 | + | 196.577i | −1.71812 | + | 0.460368i | ||||
\(428\) | − | 333.449i | − | 0.779087i | ||||||
\(429\) | 509.660 | + | 890.019i | 1.18802 | + | 2.07464i | ||||
\(430\) | −128.926 | −0.299828 | ||||||||
\(431\) | −167.072 | − | 623.520i | −0.387637 | − | 1.44668i | −0.833968 | − | 0.551813i | \(-0.813936\pi\) |
0.446330 | − | 0.894868i | \(-0.352731\pi\) | |||||||
\(432\) | −8.64276 | + | 14.9697i | −0.0200064 | + | 0.0346521i | ||||
\(433\) | −439.124 | + | 253.528i | −1.01414 | + | 0.585516i | −0.912402 | − | 0.409295i | \(-0.865775\pi\) |
−0.101741 | + | 0.994811i | \(0.532441\pi\) | |||||||
\(434\) | −319.111 | + | 319.111i | −0.735279 | + | 0.735279i | ||||
\(435\) | 122.838 | + | 32.9142i | 0.282385 | + | 0.0756649i | ||||
\(436\) | −0.130976 | + | 0.488811i | −0.000300405 | + | 0.00112113i | ||||
\(437\) | −86.1600 | − | 86.1600i | −0.197162 | − | 0.197162i | ||||
\(438\) | 96.1848 | + | 166.597i | 0.219600 | + | 0.380358i | ||||
\(439\) | 741.405 | + | 428.050i | 1.68885 | + | 0.975058i | 0.955400 | + | 0.295314i | \(0.0954242\pi\) |
0.733450 | + | 0.679744i | \(0.237909\pi\) | |||||||
\(440\) | 289.010 | − | 77.4401i | 0.656842 | − | 0.176000i | ||||
\(441\) | 1102.24i | 2.49941i | ||||||||
\(442\) | −45.8289 | − | 0.162250i | −0.103685 | − | 0.000367082i | ||||
\(443\) | −320.356 | −0.723151 | −0.361576 | − | 0.932343i | \(-0.617761\pi\) | ||||
−0.361576 | + | 0.932343i | \(0.617761\pi\) | |||||||
\(444\) | −144.136 | − | 537.924i | −0.324631 | − | 1.21154i | ||||
\(445\) | −20.0355 | + | 34.7025i | −0.0450236 | + | 0.0779831i | ||||
\(446\) | −392.411 | + | 226.559i | −0.879846 | + | 0.507980i | ||||
\(447\) | −627.023 | + | 627.023i | −1.40273 | + | 1.40273i | ||||
\(448\) | −386.037 | − | 103.438i | −0.861691 | − | 0.230889i | ||||
\(449\) | −33.9292 | + | 126.626i | −0.0755662 | + | 0.282017i | −0.993361 | − | 0.115038i | \(-0.963301\pi\) |
0.917795 | + | 0.397055i | \(0.129968\pi\) | |||||||
\(450\) | 50.9080 | + | 50.9080i | 0.113129 | + | 0.113129i | ||||
\(451\) | 85.8867 | + | 148.760i | 0.190436 | + | 0.329845i | ||||
\(452\) | 116.188 | + | 67.0814i | 0.257054 | + | 0.148410i | ||||
\(453\) | 750.354 | − | 201.057i | 1.65641 | − | 0.443834i | ||||
\(454\) | 283.149i | 0.623677i | ||||||||
\(455\) | 331.318 | + | 90.0347i | 0.728171 | + | 0.197878i | ||||
\(456\) | 292.768 | 0.642034 | ||||||||
\(457\) | −128.911 | − | 481.103i | −0.282081 | − | 1.05274i | −0.950946 | − | 0.309358i | \(-0.899886\pi\) |
0.668864 | − | 0.743385i | \(-0.266781\pi\) | |||||||
\(458\) | −82.7951 | + | 143.405i | −0.180775 | + | 0.313112i | ||||
\(459\) | 37.7860 | − | 21.8158i | 0.0823224 | − | 0.0475289i | ||||
\(460\) | −61.5156 | + | 61.5156i | −0.133730 | + | 0.133730i | ||||
\(461\) | −588.583 | − | 157.710i | −1.27675 | − | 0.342105i | −0.444139 | − | 0.895958i | \(-0.646490\pi\) |
−0.832614 | + | 0.553853i | \(0.813157\pi\) | |||||||
\(462\) | 285.121 | − | 1064.08i | 0.617144 | − | 2.30321i | ||||
\(463\) | 204.258 | + | 204.258i | 0.441163 | + | 0.441163i | 0.892403 | − | 0.451240i | \(-0.149018\pi\) |
−0.451240 | + | 0.892403i | \(0.649018\pi\) | |||||||
\(464\) | −7.29948 | − | 12.6431i | −0.0157316 | − | 0.0272480i | ||||
\(465\) | −288.030 | − | 166.294i | −0.619420 | − | 0.357622i | ||||
\(466\) | −216.868 | + | 58.1095i | −0.465381 | + | 0.124699i | ||||
\(467\) | − | 304.280i | − | 0.651564i | −0.945445 | − | 0.325782i | \(-0.894372\pi\) | ||
0.945445 | − | 0.325782i | \(-0.105628\pi\) | |||||||
\(468\) | 398.367 | − | 105.232i | 0.851212 | − | 0.224855i | ||||
\(469\) | 71.4166 | 0.152274 | ||||||||
\(470\) | −53.8981 | − | 201.150i | −0.114677 | − | 0.427979i | ||||
\(471\) | 690.523 | − | 1196.02i | 1.46608 | − | 2.53932i | ||||
\(472\) | 59.0546 | − | 34.0952i | 0.125116 | − | 0.0722356i | ||||
\(473\) | −591.181 | + | 591.181i | −1.24985 | + | 1.24985i | ||||
\(474\) | 34.5512 | + | 9.25796i | 0.0728928 | + | 0.0195316i | ||||
\(475\) | −10.5471 | + | 39.3622i | −0.0222044 | + | 0.0828678i | ||||
\(476\) | −64.8078 | − | 64.8078i | −0.136151 | − | 0.136151i | ||||
\(477\) | 117.473 | + | 203.469i | 0.246274 | + | 0.426559i | ||||
\(478\) | −440.969 | − | 254.594i | −0.922530 | − | 0.532623i | ||||
\(479\) | −292.952 | + | 78.4963i | −0.611591 | + | 0.163875i | −0.551302 | − | 0.834306i | \(-0.685869\pi\) |
−0.0602891 | + | 0.998181i | \(0.519202\pi\) | |||||||
\(480\) | − | 335.666i | − | 0.699304i | ||||||
\(481\) | −304.106 | + | 522.446i | −0.632237 | + | 1.08617i | ||||
\(482\) | 20.8588 | 0.0432756 | ||||||||
\(483\) | 210.327 | + | 784.952i | 0.435460 | + | 1.62516i | ||||
\(484\) | 224.943 | − | 389.612i | 0.464758 | − | 0.804984i | ||||
\(485\) | −243.958 | + | 140.849i | −0.503006 | + | 0.290410i | ||||
\(486\) | −272.734 | + | 272.734i | −0.561180 | + | 0.561180i | ||||
\(487\) | 755.571 | + | 202.455i | 1.55148 | + | 0.415718i | 0.929954 | − | 0.367675i | \(-0.119846\pi\) |
0.621527 | + | 0.783393i | \(0.286513\pi\) | |||||||
\(488\) | 129.911 | − | 484.834i | 0.266211 | − | 0.993513i | ||||
\(489\) | 727.311 | + | 727.311i | 1.48734 | + | 1.48734i | ||||
\(490\) | −119.621 | − | 207.190i | −0.244125 | − | 0.422837i | ||||
\(491\) | 423.384 | + | 244.441i | 0.862290 | + | 0.497843i | 0.864778 | − | 0.502154i | \(-0.167459\pi\) |
−0.00248853 | + | 0.999997i | \(0.500792\pi\) | |||||||
\(492\) | 115.913 | − | 31.0589i | 0.235596 | − | 0.0631278i | ||||
\(493\) | 36.8502i | 0.0747468i | ||||||||
\(494\) | −88.2582 | − | 88.8853i | −0.178660 | − | 0.179930i | ||||
\(495\) | 466.870 | 0.943172 | ||||||||
\(496\) | 9.88185 | + | 36.8796i | 0.0199231 | + | 0.0743539i | ||||
\(497\) | 339.373 | − | 587.810i | 0.682842 | − | 1.18272i | ||||
\(498\) | 174.315 | − | 100.641i | 0.350030 | − | 0.202090i | ||||
\(499\) | −306.029 | + | 306.029i | −0.613285 | + | 0.613285i | −0.943801 | − | 0.330515i | \(-0.892778\pi\) |
0.330515 | + | 0.943801i | \(0.392778\pi\) | |||||||
\(500\) | 28.1034 | + | 7.53029i | 0.0562069 | + | 0.0150606i | ||||
\(501\) | 1.75444 | − | 6.54765i | 0.00350187 | − | 0.0130692i | ||||
\(502\) | 341.024 | + | 341.024i | 0.679330 | + | 0.679330i | ||||
\(503\) | −300.324 | − | 520.177i | −0.597066 | − | 1.03415i | −0.993252 | − | 0.115979i | \(-0.963000\pi\) |
0.396186 | − | 0.918170i | \(-0.370334\pi\) | |||||||
\(504\) | −972.401 | − | 561.416i | −1.92937 | − | 1.11392i | ||||
\(505\) | 100.572 | − | 26.9482i | 0.199152 | − | 0.0533627i | ||||
\(506\) | − | 303.000i | − | 0.598815i | ||||||
\(507\) | −670.787 | − | 393.638i | −1.32305 | − | 0.776406i | ||||
\(508\) | −285.224 | −0.561464 | ||||||||
\(509\) | 123.224 | + | 459.878i | 0.242090 | + | 0.903494i | 0.974824 | + | 0.222978i | \(0.0715777\pi\) |
−0.732733 | + | 0.680516i | \(0.761756\pi\) | |||||||
\(510\) | −18.1389 | + | 31.4175i | −0.0355664 | + | 0.0616029i | ||||
\(511\) | 361.654 | − | 208.801i | 0.707738 | − | 0.408613i | ||||
\(512\) | −53.3284 | + | 53.3284i | −0.104157 | + | 0.104157i | ||||
\(513\) | 115.190 | + | 30.8651i | 0.224542 | + | 0.0601659i | ||||
\(514\) | 29.3427 | − | 109.508i | 0.0570869 | − | 0.213051i | ||||
\(515\) | 124.227 | + | 124.227i | 0.241218 | + | 0.241218i | ||||
\(516\) | 292.038 | + | 505.824i | 0.565965 | + | 0.980280i | ||||
\(517\) | −1169.51 | − | 675.215i | −2.26210 | − | 1.30603i | ||||
\(518\) | 627.183 | − | 168.053i | 1.21078 | − | 0.324427i | ||||
\(519\) | − | 563.796i | − | 1.08631i | ||||||
\(520\) | −161.007 | + | 159.871i | −0.309630 | + | 0.307445i | ||||
\(521\) | 990.886 | 1.90189 | 0.950947 | − | 0.309355i | \(-0.100113\pi\) | ||||
0.950947 | + | 0.309355i | \(0.100113\pi\) | |||||||
\(522\) | 46.0545 | + | 171.878i | 0.0882270 | + | 0.329268i | ||||
\(523\) | −28.5778 | + | 49.4982i | −0.0546420 | + | 0.0946428i | −0.892053 | − | 0.451932i | \(-0.850735\pi\) |
0.837411 | + | 0.546574i | \(0.184068\pi\) | |||||||
\(524\) | 218.441 | − | 126.117i | 0.416873 | − | 0.240682i | ||||
\(525\) | 192.176 | − | 192.176i | 0.366050 | − | 0.366050i | ||||
\(526\) | 537.354 | + | 143.984i | 1.02159 | + | 0.273733i | ||||
\(527\) | 24.9434 | − | 93.0901i | 0.0473310 | − | 0.176642i | ||||
\(528\) | −65.9026 | − | 65.9026i | −0.124816 | − | 0.124816i | ||||
\(529\) | −152.742 | − | 264.556i | −0.288737 | − | 0.500106i | ||||
\(530\) | −44.1631 | − | 25.4976i | −0.0833266 | − | 0.0481086i | ||||
\(531\) | 102.776 | − | 27.5388i | 0.193552 | − | 0.0518622i | ||||
\(532\) | − | 250.503i | − | 0.470871i | ||||||
\(533\) | −112.578 | − | 65.5296i | −0.211216 | − | 0.122945i | ||||
\(534\) | −97.5003 | −0.182585 | ||||||||
\(535\) | 74.1567 | + | 276.757i | 0.138611 | + | 0.517302i | ||||
\(536\) | −23.5984 | + | 40.8736i | −0.0440269 | + | 0.0762568i | ||||
\(537\) | 162.651 | − | 93.9067i | 0.302888 | − | 0.174873i | ||||
\(538\) | 66.3116 | − | 66.3116i | 0.123256 | − | 0.123256i | ||||
\(539\) | −1498.57 | − | 401.541i | −2.78028 | − | 0.744973i | ||||
\(540\) | 22.0368 | − | 82.2423i | 0.0408088 | − | 0.152301i | ||||
\(541\) | −626.350 | − | 626.350i | −1.15776 | − | 1.15776i | −0.984956 | − | 0.172808i | \(-0.944716\pi\) |
−0.172808 | − | 0.984956i | \(-0.555284\pi\) | |||||||
\(542\) | 211.479 | + | 366.293i | 0.390183 | + | 0.675817i | ||||
\(543\) | −442.596 | − | 255.533i | −0.815093 | − | 0.470594i | ||||
\(544\) | 93.9515 | − | 25.1742i | 0.172705 | − | 0.0462762i | ||||
\(545\) | − | 0.434832i | − | 0.000797857i | ||||||
\(546\) | 213.358 | + | 807.690i | 0.390765 | + | 1.47929i | ||||
\(547\) | −754.389 | −1.37914 | −0.689570 | − | 0.724219i | \(-0.742200\pi\) | ||||
−0.689570 | + | 0.724219i | \(0.742200\pi\) | |||||||
\(548\) | −93.6815 | − | 349.624i | −0.170952 | − | 0.638000i | ||||
\(549\) | 391.603 | − | 678.276i | 0.713302 | − | 1.23548i | ||||
\(550\) | −87.7584 | + | 50.6673i | −0.159561 | + | 0.0921224i | ||||
\(551\) | −71.2190 | + | 71.2190i | −0.129254 | + | 0.129254i | ||||
\(552\) | −518.748 | − | 138.998i | −0.939761 | − | 0.251808i | ||||
\(553\) | 20.0975 | − | 75.0048i | 0.0363426 | − | 0.135633i | ||||
\(554\) | −331.063 | − | 331.063i | −0.597587 | − | 0.597587i | ||||
\(555\) | 239.261 | + | 414.412i | 0.431100 | + | 0.746688i | ||||
\(556\) | 310.202 | + | 179.095i | 0.557917 | + | 0.322114i | ||||
\(557\) | 131.302 | − | 35.1823i | 0.235731 | − | 0.0631639i | −0.139019 | − | 0.990290i | \(-0.544395\pi\) |
0.374750 | + | 0.927126i | \(0.377728\pi\) | |||||||
\(558\) | − | 465.368i | − | 0.833992i | ||||||
\(559\) | 166.260 | − | 611.820i | 0.297425 | − | 1.09449i | ||||
\(560\) | −31.1996 | −0.0557135 | ||||||||
\(561\) | 60.8880 | + | 227.237i | 0.108535 | + | 0.405057i | ||||
\(562\) | 229.812 | − | 398.046i | 0.408918 | − | 0.708268i | ||||
\(563\) | −692.192 | + | 399.637i | −1.22947 | + | 0.709835i | −0.966919 | − | 0.255083i | \(-0.917897\pi\) |
−0.262551 | + | 0.964918i | \(0.584564\pi\) | |||||||
\(564\) | −667.100 | + | 667.100i | −1.18280 | + | 1.18280i | ||||
\(565\) | −111.353 | − | 29.8368i | −0.197084 | − | 0.0528086i | ||||
\(566\) | −40.2197 | + | 150.102i | −0.0710596 | + | 0.265198i | ||||
\(567\) | 353.078 | + | 353.078i | 0.622712 | + | 0.622712i | ||||
\(568\) | 224.280 | + | 388.464i | 0.394859 | + | 0.683915i | ||||
\(569\) | 572.198 | + | 330.359i | 1.00562 | + | 0.580595i | 0.909906 | − | 0.414814i | \(-0.136153\pi\) |
0.0957138 | + | 0.995409i | \(0.469487\pi\) | |||||||
\(570\) | −95.7757 | + | 25.6630i | −0.168028 | + | 0.0450228i | ||||
\(571\) | 737.267i | 1.29119i | 0.763682 | + | 0.645593i | \(0.223390\pi\) | ||||
−0.763682 | + | 0.645593i | \(0.776610\pi\) | |||||||
\(572\) | −2.05320 | + | 579.943i | −0.00358952 | + | 1.01389i | ||||
\(573\) | 588.016 | 1.02621 | ||||||||
\(574\) | 36.2126 | + | 135.147i | 0.0630881 | + | 0.235448i | ||||
\(575\) | 37.3762 | − | 64.7375i | 0.0650021 | − | 0.112587i | ||||
\(576\) | 356.908 | − | 206.061i | 0.619631 | − | 0.357744i | ||||
\(577\) | −137.855 | + | 137.855i | −0.238917 | + | 0.238917i | −0.816402 | − | 0.577485i | \(-0.804034\pi\) |
0.577485 | + | 0.816402i | \(0.304034\pi\) | |||||||
\(578\) | 319.870 | + | 85.7089i | 0.553408 | + | 0.148285i | ||||
\(579\) | 287.541 | − | 1073.12i | 0.496616 | − | 1.85340i | ||||
\(580\) | 50.8482 | + | 50.8482i | 0.0876694 | + | 0.0876694i | ||||
\(581\) | −218.474 | − | 378.409i | −0.376031 | − | 0.651306i | ||||
\(582\) | −593.596 | − | 342.713i | −1.01992 | − | 0.588853i | ||||
\(583\) | −319.424 | + | 85.5894i | −0.547897 | + | 0.146809i | ||||
\(584\) | 275.979i | 0.472567i | ||||||||
\(585\) | −307.234 | + | 175.935i | −0.525187 | + | 0.300743i | ||||
\(586\) | −132.629 | −0.226329 | ||||||||
\(587\) | −18.3466 | − | 68.4703i | −0.0312548 | − | 0.116645i | 0.948536 | − | 0.316669i | \(-0.102564\pi\) |
−0.979791 | + | 0.200025i | \(0.935898\pi\) | |||||||
\(588\) | −541.922 | + | 938.637i | −0.921636 | + | 1.59632i | ||||
\(589\) | 228.119 | − | 131.705i | 0.387299 | − | 0.223607i | ||||
\(590\) | −16.3304 | + | 16.3304i | −0.0276786 | + | 0.0276786i | ||||
\(591\) | 33.1607 | + | 8.88537i | 0.0561094 | + | 0.0150345i | ||||
\(592\) | 14.2178 | − | 53.0615i | 0.0240165 | − | 0.0896309i | ||||
\(593\) | −478.416 | − | 478.416i | −0.806772 | − | 0.806772i | 0.177372 | − | 0.984144i | \(-0.443241\pi\) |
−0.984144 | + | 0.177372i | \(0.943241\pi\) | |||||||
\(594\) | 148.274 | + | 256.817i | 0.249619 | + | 0.432353i | ||||
\(595\) | 68.2021 | + | 39.3765i | 0.114625 | + | 0.0661789i | ||||
\(596\) | −484.335 | + | 129.777i | −0.812642 | + | 0.217747i | ||||
\(597\) | 450.183i | 0.754075i | ||||||||
\(598\) | 114.182 | + | 199.396i | 0.190940 | + | 0.333439i | ||||
\(599\) | 478.108 | 0.798178 | 0.399089 | − | 0.916912i | \(-0.369326\pi\) | ||||
0.399089 | + | 0.916912i | \(0.369326\pi\) | |||||||
\(600\) | 46.4862 | + | 173.489i | 0.0774770 | + | 0.289148i | ||||
\(601\) | 114.619 | − | 198.526i | 0.190714 | − | 0.330326i | −0.754773 | − | 0.655986i | \(-0.772253\pi\) |
0.945487 | + | 0.325660i | \(0.105586\pi\) | |||||||
\(602\) | −589.757 | + | 340.497i | −0.979663 | + | 0.565609i | ||||
\(603\) | −52.0744 | + | 52.0744i | −0.0863588 | + | 0.0863588i | ||||
\(604\) | 424.297 | + | 113.690i | 0.702478 | + | 0.188228i | ||||
\(605\) | −100.051 | + | 373.397i | −0.165374 | + | 0.617184i | ||||
\(606\) | 179.141 | + | 179.141i | 0.295612 | + | 0.295612i | ||||
\(607\) | 16.5372 | + | 28.6433i | 0.0272442 | + | 0.0471883i | 0.879326 | − | 0.476220i | \(-0.157994\pi\) |
−0.852082 | + | 0.523409i | \(0.824660\pi\) | |||||||
\(608\) | 230.230 | + | 132.923i | 0.378667 | + | 0.218624i | ||||
\(609\) | 648.834 | − | 173.854i | 1.06541 | − | 0.285475i | ||||
\(610\) | 169.996i | 0.278682i | ||||||||
\(611\) | 1024.07 | + | 3.62556i | 1.67605 | + | 0.00593382i | ||||
\(612\) | 94.5109 | 0.154430 | ||||||||
\(613\) | 179.816 | + | 671.084i | 0.293338 | + | 1.09475i | 0.942528 | + | 0.334127i | \(0.108441\pi\) |
−0.649190 | + | 0.760626i | \(0.724892\pi\) | |||||||
\(614\) | 139.101 | − | 240.930i | 0.226549 | − | 0.392395i | ||||
\(615\) | −89.2985 | + | 51.5565i | −0.145201 | + | 0.0838318i | ||||
\(616\) | 1117.52 | − | 1117.52i | 1.81416 | − | 1.81416i | ||||
\(617\) | 3.22735 | + | 0.864765i | 0.00523071 | + | 0.00140156i | 0.261433 | − | 0.965222i | \(-0.415805\pi\) |
−0.256203 | + | 0.966623i | \(0.582471\pi\) | |||||||
\(618\) | −110.638 | + | 412.907i | −0.179026 | + | 0.668134i | ||||
\(619\) | −642.040 | − | 642.040i | −1.03722 | − | 1.03722i | −0.999280 | − | 0.0379406i | \(-0.987920\pi\) |
−0.0379406 | − | 0.999280i | \(-0.512080\pi\) | |||||||
\(620\) | −94.0331 | − | 162.870i | −0.151666 | − | 0.262694i | ||||
\(621\) | −189.449 | − | 109.378i | −0.305070 | − | 0.176132i | ||||
\(622\) | 494.216 | − | 132.425i | 0.794560 | − | 0.212902i | ||||
\(623\) | 211.657i | 0.339738i | ||||||||
\(624\) | 68.2034 | + | 18.5341i | 0.109300 | + | 0.0297021i | ||||
\(625\) | −25.0000 | −0.0400000 | ||||||||
\(626\) | 8.04733 | + | 30.0330i | 0.0128552 | + | 0.0479761i | ||||
\(627\) | −321.497 | + | 556.849i | −0.512754 | + | 0.888116i | ||||
\(628\) | 676.304 | − | 390.465i | 1.07692 | − | 0.621759i | ||||
\(629\) | −98.0480 | + | 98.0480i | −0.155879 | + | 0.155879i | ||||
\(630\) | 367.322 | + | 98.4236i | 0.583051 | + | 0.156228i | ||||
\(631\) | −106.324 | + | 396.808i | −0.168501 | + | 0.628856i | 0.829066 | + | 0.559151i | \(0.188873\pi\) |
−0.997568 | + | 0.0697055i | \(0.977794\pi\) | |||||||
\(632\) | 36.2864 | + | 36.2864i | 0.0574151 | + | 0.0574151i | ||||
\(633\) | −539.568 | − | 934.560i | −0.852399 | − | 1.47640i | ||||
\(634\) | 174.613 | + | 100.813i | 0.275415 | + | 0.159011i | ||||
\(635\) | 236.730 | − | 63.4317i | 0.372804 | − | 0.0998925i | ||||
\(636\) | 231.024i | 0.363246i | ||||||||
\(637\) | 1137.48 | − | 300.476i | 1.78569 | − | 0.471705i | ||||
\(638\) | −250.457 | −0.392566 | ||||||||
\(639\) | 181.152 | + | 676.067i | 0.283493 | + | 1.05801i | ||||
\(640\) | 101.149 | − | 175.195i | 0.158046 | − | 0.273743i | ||||
\(641\) | −102.011 | + | 58.8962i | −0.159144 | + | 0.0918818i | −0.577457 | − | 0.816421i | \(-0.695955\pi\) |
0.418313 | + | 0.908303i | \(0.362622\pi\) | |||||||
\(642\) | −492.964 | + | 492.964i | −0.767857 | + | 0.767857i | ||||
\(643\) | 1081.45 | + | 289.774i | 1.68188 | + | 0.450659i | 0.968275 | − | 0.249886i | \(-0.0803930\pi\) |
0.713608 | + | 0.700545i | \(0.247060\pi\) | |||||||
\(644\) | −118.932 | + | 443.861i | −0.184677 | + | 0.689225i | ||||
\(645\) | −354.878 | − | 354.878i | −0.550198 | − | 0.550198i | ||||
\(646\) | −14.3659 | − | 24.8825i | −0.0222383 | − | 0.0385179i | ||||
\(647\) | −326.262 | − | 188.367i | −0.504269 | − | 0.291140i | 0.226206 | − | 0.974080i | \(-0.427368\pi\) |
−0.730475 | + | 0.682940i | \(0.760701\pi\) | |||||||
\(648\) | −318.744 | + | 85.4073i | −0.491889 | + | 0.131801i | ||||
\(649\) | 149.764i | 0.230761i | ||||||||
\(650\) | 38.6580 | − | 66.4135i | 0.0594739 | − | 0.102175i | ||||
\(651\) | −1756.75 | −2.69854 | ||||||||
\(652\) | 150.534 | + | 561.801i | 0.230881 | + | 0.861658i | ||||
\(653\) | 77.8179 | − | 134.785i | 0.119170 | − | 0.206408i | −0.800269 | − | 0.599641i | \(-0.795310\pi\) |
0.919439 | + | 0.393233i | \(0.128643\pi\) | |||||||
\(654\) | 0.916280 | − | 0.529015i | 0.00140104 | − | 0.000808891i | ||||
\(655\) | −153.255 | + | 153.255i | −0.233976 | + | 0.233976i | ||||
\(656\) | 11.4338 | + | 3.06369i | 0.0174296 | + | 0.00467025i | ||||
\(657\) | −111.455 | + | 415.955i | −0.169642 | + | 0.633112i | ||||
\(658\) | −777.793 | − | 777.793i | −1.18206 | − | 1.18206i | ||||
\(659\) | −68.7477 | − | 119.074i | −0.104321 | − | 0.180690i | 0.809139 | − | 0.587617i | \(-0.199934\pi\) |
−0.913461 | + | 0.406927i | \(0.866600\pi\) | |||||||
\(660\) | 397.573 | + | 229.539i | 0.602384 | + | 0.347787i | ||||
\(661\) | 822.733 | − | 220.451i | 1.24468 | − | 0.333511i | 0.424400 | − | 0.905475i | \(-0.360485\pi\) |
0.820279 | + | 0.571964i | \(0.193818\pi\) | |||||||
\(662\) | 54.9190i | 0.0829593i | ||||||||
\(663\) | −125.700 | − | 126.594i | −0.189593 | − | 0.190941i | ||||
\(664\) | 288.764 | 0.434886 | ||||||||
\(665\) | 55.7101 | + | 207.913i | 0.0837746 | + | 0.312651i | ||||
\(666\) | −334.780 | + | 579.857i | −0.502673 | + | 0.870655i | ||||
\(667\) | 160.004 | − | 92.3783i | 0.239886 | − | 0.138498i | ||||
\(668\) | 2.71038 | − | 2.71038i | 0.00405745 | − | 0.00405745i | ||||
\(669\) | −1703.76 | − | 456.521i | −2.54672 | − | 0.682393i | ||||
\(670\) | 4.13711 | − | 15.4399i | 0.00617479 | − | 0.0230446i | ||||
\(671\) | 779.504 | + | 779.504i | 1.16170 | + | 1.16170i | ||||
\(672\) | −886.502 | − | 1535.47i | −1.31920 | − | 2.28492i | ||||
\(673\) | −189.466 | − | 109.388i | −0.281525 | − | 0.162539i | 0.352589 | − | 0.935778i | \(-0.385302\pi\) |
−0.634114 | + | 0.773240i | \(0.718635\pi\) | |||||||
\(674\) | 283.781 | − | 76.0388i | 0.421040 | − | 0.112817i | ||||
\(675\) | 73.1604i | 0.108386i | ||||||||
\(676\) | −217.194 | − | 382.418i | −0.321292 | − | 0.565708i | ||||
\(677\) | −27.5846 | −0.0407453 | −0.0203727 | − | 0.999792i | \(-0.506485\pi\) | ||||
−0.0203727 | + | 0.999792i | \(0.506485\pi\) | |||||||
\(678\) | −72.5987 | − | 270.942i | −0.107078 | − | 0.399619i | ||||
\(679\) | −743.972 | + | 1288.60i | −1.09569 | + | 1.89779i | ||||
\(680\) | −45.0724 | + | 26.0226i | −0.0662829 | + | 0.0382685i | ||||
\(681\) | −779.388 | + | 779.388i | −1.14448 | + | 1.14448i | ||||
\(682\) | 632.699 | + | 169.531i | 0.927711 | + | 0.248579i | ||||
\(683\) | 148.624 | − | 554.673i | 0.217605 | − | 0.812112i | −0.767628 | − | 0.640895i | \(-0.778563\pi\) |
0.985233 | − | 0.171217i | \(-0.0547700\pi\) | |||||||
\(684\) | 182.658 | + | 182.658i | 0.267043 | + | 0.267043i | ||||
\(685\) | 155.508 | + | 269.347i | 0.227019 | + | 0.393208i | ||||
\(686\) | −501.847 | − | 289.741i | −0.731555 | − | 0.422364i | ||||
\(687\) | −622.632 | + | 166.834i | −0.906305 | + | 0.242844i | ||||
\(688\) | 57.6140i | 0.0837413i | ||||||||
\(689\) | 177.951 | − | 176.695i | 0.258274 | − | 0.256452i | ||||
\(690\) | 181.887 | 0.263604 | ||||||||
\(691\) | 1.03466 | + | 3.86139i | 0.00149733 | + | 0.00558812i | 0.966670 | − | 0.256024i | \(-0.0824126\pi\) |
−0.965173 | + | 0.261612i | \(0.915746\pi\) | |||||||
\(692\) | 159.403 | − | 276.094i | 0.230351 | − | 0.398979i | ||||
\(693\) | 2135.64 | − | 1233.01i | 3.08174 | − | 1.77924i | ||||
\(694\) | 188.753 | − | 188.753i | 0.271979 | − | 0.271979i | ||||
\(695\) | −297.291 | − | 79.6589i | −0.427757 | − | 0.114617i | ||||
\(696\) | −114.894 | + | 428.792i | −0.165078 | + | 0.616080i | ||||
\(697\) | −21.1276 | − | 21.1276i | −0.0303123 | − | 0.0303123i | ||||
\(698\) | 156.900 | + | 271.759i | 0.224785 | + | 0.389339i | ||||
\(699\) | −756.894 | − | 436.993i | −1.08282 | − | 0.625169i | ||||
\(700\) | 148.444 | − | 39.7754i | 0.212062 | − | 0.0568219i | ||||
\(701\) | 370.463i | 0.528478i | 0.964457 | + | 0.264239i | \(0.0851209\pi\) | ||||
−0.964457 | + | 0.264239i | \(0.914879\pi\) | |||||||
\(702\) | −194.354 | − | 113.129i | −0.276857 | − | 0.161153i | ||||
\(703\) | −378.987 | −0.539100 | ||||||||
\(704\) | 150.134 | + | 560.307i | 0.213258 | + | 0.795891i | ||||
\(705\) | 405.322 | − | 702.038i | 0.574925 | − | 0.995799i | ||||
\(706\) | 384.368 | − | 221.915i | 0.544430 | − | 0.314327i | ||||
\(707\) | 388.884 | − | 388.884i | 0.550049 | − | 0.550049i | ||||
\(708\) | 101.061 | + | 27.0792i | 0.142742 | + | 0.0382475i | ||||
\(709\) | −103.688 | + | 386.968i | −0.146245 | + | 0.545794i | 0.853452 | + | 0.521172i | \(0.174505\pi\) |
−0.999697 | + | 0.0246221i | \(0.992162\pi\) | |||||||
\(710\) | −107.422 | − | 107.422i | −0.151299 | − | 0.151299i | ||||
\(711\) | 40.0364 | + | 69.3450i | 0.0563099 | + | 0.0975317i | ||||
\(712\) | −121.137 | − | 69.9384i | −0.170136 | − | 0.0982281i | ||||
\(713\) | −466.728 | + | 125.059i | −0.654598 | + | 0.175399i | ||||
\(714\) | 191.621i | 0.268377i | ||||||||
\(715\) | −127.271 | − | 481.798i | −0.178001 | − | 0.673844i | ||||
\(716\) | 106.201 | 0.148326 | ||||||||
\(717\) | −513.011 | − | 1914.58i | −0.715497 | − | 2.67027i | ||||
\(718\) | −145.147 | + | 251.402i | −0.202155 | + | 0.350142i | ||||
\(719\) | −948.937 | + | 547.869i | −1.31980 | + | 0.761987i | −0.983696 | − | 0.179838i | \(-0.942443\pi\) |
−0.336104 | + | 0.941825i | \(0.609109\pi\) | |||||||
\(720\) | 22.7496 | − | 22.7496i | 0.0315966 | − | 0.0315966i | ||||
\(721\) | 896.352 | + | 240.177i | 1.24321 | + | 0.333116i | ||||
\(722\) | −90.1356 | + | 336.391i | −0.124842 | + | 0.465915i | ||||
\(723\) | 57.4154 | + | 57.4154i | 0.0794127 | + | 0.0794127i | ||||
\(724\) | −144.494 | − | 250.271i | −0.199577 | − | 0.345678i | ||||
\(725\) | −53.5113 | − | 30.8948i | −0.0738087 | − | 0.0426135i | ||||
\(726\) | −908.545 | + | 243.444i | −1.25144 | + | 0.335322i | ||||
\(727\) | − | 109.999i | − | 0.151305i | −0.997134 | − | 0.0756525i | \(-0.975896\pi\) | ||
0.997134 | − | 0.0756525i | \(-0.0241040\pi\) | |||||||
\(728\) | −314.286 | + | 1156.54i | −0.431712 | + | 1.58865i | ||||
\(729\) | −1120.95 | −1.53765 | ||||||||
\(730\) | −24.1914 | − | 90.2834i | −0.0331389 | − | 0.123676i | ||||
\(731\) | 72.7137 | − | 125.944i | 0.0994715 | − | 0.172290i | ||||
\(732\) | 666.956 | − | 385.067i | 0.911143 | − | 0.526048i | ||||
\(733\) | 722.503 | − | 722.503i | 0.985679 | − | 0.985679i | −0.0142197 | − | 0.999899i | \(-0.504526\pi\) |
0.999899 | + | 0.0142197i | \(0.00452641\pi\) | |||||||
\(734\) | 627.203 | + | 168.059i | 0.854501 | + | 0.228963i | ||||
\(735\) | 241.039 | − | 899.570i | 0.327944 | − | 1.22390i | ||||
\(736\) | −344.830 | − | 344.830i | −0.468519 | − | 0.468519i | ||||
\(737\) | −51.8282 | − | 89.7691i | −0.0703232 | − | 0.121803i | ||||
\(738\) | −124.949 | − | 72.1394i | −0.169308 | − | 0.0977498i | ||||
\(739\) | 886.143 | − | 237.441i | 1.19911 | − | 0.321301i | 0.396630 | − | 0.917979i | \(-0.370180\pi\) |
0.802481 | + | 0.596678i | \(0.203513\pi\) | |||||||
\(740\) | 270.586i | 0.365656i | ||||||||
\(741\) | 1.72627 | − | 487.599i | 0.00232965 | − | 0.658029i | ||||
\(742\) | −269.359 | −0.363017 | ||||||||
\(743\) | −160.600 | − | 599.368i | −0.216151 | − | 0.806687i | −0.985758 | − | 0.168169i | \(-0.946215\pi\) |
0.769607 | − | 0.638518i | \(-0.220452\pi\) | |||||||
\(744\) | 580.488 | − | 1005.43i | 0.780225 | − | 1.35139i | ||||
\(745\) | 373.127 | − | 215.425i | 0.500842 | − | 0.289161i | ||||
\(746\) | 306.483 | − | 306.483i | 0.410836 | − | 0.410836i | ||||
\(747\) | 435.225 | + | 116.618i | 0.582630 | + | 0.156115i | ||||
\(748\) | −34.4299 | + | 128.494i | −0.0460292 | + | 0.171783i | ||||
\(749\) | 1070.14 | + | 1070.14i | 1.42876 | + | 1.42876i | ||||
\(750\) | −30.4149 | − | 52.6801i | −0.0405532 | − | 0.0702401i | ||||
\(751\) | −496.185 | − | 286.473i | −0.660699 | − | 0.381455i | 0.131844 | − | 0.991270i | \(-0.457910\pi\) |
−0.792543 | + | 0.609816i | \(0.791244\pi\) | |||||||
\(752\) | −89.8894 | + | 24.0858i | −0.119534 | + | 0.0320290i | ||||
\(753\) | 1877.38i | 2.49320i | ||||||||
\(754\) | 164.819 | − | 94.3818i | 0.218593 | − | 0.125175i | ||||
\(755\) | −377.442 | −0.499923 | ||||||||
\(756\) | −116.399 | − | 434.408i | −0.153967 | − | 0.574613i | ||||
\(757\) | 85.4409 | − | 147.988i | 0.112868 | − | 0.195493i | −0.804058 | − | 0.594551i | \(-0.797330\pi\) |
0.916925 | + | 0.399059i | \(0.130663\pi\) | |||||||
\(758\) | 232.696 | − | 134.347i | 0.306987 | − | 0.177239i | ||||
\(759\) | 834.029 | − | 834.029i | 1.09885 | − | 1.09885i | ||||
\(760\) | −137.403 | − | 36.8169i | −0.180793 | − | 0.0484433i | ||||
\(761\) | 227.288 | − | 848.248i | 0.298670 | − | 1.11465i | −0.639590 | − | 0.768717i | \(-0.720896\pi\) |
0.938259 | − | 0.345933i | \(-0.112438\pi\) | |||||||
\(762\) | 421.669 | + | 421.669i | 0.553371 | + | 0.553371i | ||||
\(763\) | −1.14840 | − | 1.98909i | −0.00150511 | − | 0.00260693i | ||||
\(764\) | 287.954 | + | 166.250i | 0.376903 | + | 0.217605i | ||||
\(765\) | −78.4423 | + | 21.0185i | −0.102539 | + | 0.0274752i | ||||
\(766\) | − | 650.805i | − | 0.849615i | ||||||
\(767\) | −56.4367 | − | 98.5555i | −0.0735812 | − | 0.128495i | ||||
\(768\) | 1115.13 | 1.45199 | ||||||||
\(769\) | −121.393 | − | 453.046i | −0.157859 | − | 0.589137i | −0.998844 | − | 0.0480781i | \(-0.984690\pi\) |
0.840985 | − | 0.541059i | \(-0.181976\pi\) | |||||||
\(770\) | −267.627 | + | 463.544i | −0.347568 | + | 0.602005i | ||||
\(771\) | 382.197 | − | 220.661i | 0.495716 | − | 0.286202i | ||||
\(772\) | 444.213 | − | 444.213i | 0.575406 | − | 0.575406i | ||||
\(773\) | 129.955 | + | 34.8213i | 0.168118 | + | 0.0450470i | 0.341896 | − | 0.939738i | \(-0.388931\pi\) |
−0.173778 | + | 0.984785i | \(0.555598\pi\) | |||||||
\(774\) | 181.752 | − | 678.307i | 0.234821 | − | 0.876365i | ||||
\(775\) | 114.267 | + | 114.267i | 0.147441 | + | 0.147441i | ||||
\(776\) | −491.665 | − | 851.589i | −0.633589 | − | 1.09741i | ||||
\(777\) | 2188.94 | + | 1263.79i | 2.81717 | + | 1.62649i | ||||
\(778\) | −884.954 | + | 237.123i | −1.13747 | + | 0.304785i | ||||
\(779\) | − | 81.6652i | − | 0.104833i | ||||||
\(780\) | −348.132 | − | 1.23251i | −0.446322 | − | 0.00158014i | ||||
\(781\) | −985.153 | −1.26140 | ||||||||
\(782\) | 13.6411 | + | 50.9093i | 0.0174439 | + | 0.0651014i | ||||
\(783\) | −90.4109 | + | 156.596i | −0.115467 | + | 0.199995i | ||||
\(784\) | −92.5883 | + | 53.4559i | −0.118097 | + | 0.0681835i | ||||
\(785\) | −474.483 | + | 474.483i | −0.604437 | + | 0.604437i | ||||
\(786\) | −509.387 | − | 136.490i | −0.648076 | − | 0.173651i | ||||
\(787\) | −70.0379 | + | 261.385i | −0.0889936 | + | 0.332129i | −0.996040 | − | 0.0889011i | \(-0.971665\pi\) |
0.907047 | + | 0.421030i | \(0.138331\pi\) | |||||||
\(788\) | 13.7268 | + | 13.7268i | 0.0174197 | + | 0.0174197i | ||||
\(789\) | 1082.78 | + | 1875.43i | 1.37234 | + | 2.37697i | ||||
\(790\) | −15.0514 | − | 8.68994i | −0.0190524 | − | 0.0109999i | ||||
\(791\) | −588.170 | + | 157.600i | −0.743577 | + | 0.199241i | ||||
\(792\) | 1629.71i | 2.05772i | ||||||||
\(793\) | −806.717 | − | 219.223i | −1.01730 | − | 0.276448i | ||||
\(794\) | −61.5085 | −0.0774666 | ||||||||
\(795\) | −51.3781 | − | 191.746i | −0.0646266 | − | 0.241190i | ||||
\(796\) | −127.281 | + | 220.457i | −0.159900 | + | 0.276956i | ||||
\(797\) | −934.979 | + | 539.810i | −1.17312 | + | 0.677303i | −0.954414 | − | 0.298487i | \(-0.903518\pi\) |
−0.218710 | + | 0.975790i | \(0.570185\pi\) | |||||||
\(798\) | −370.339 | + | 370.339i | −0.464083 | + | 0.464083i | ||||
\(799\) | 226.896 | + | 60.7965i | 0.283975 | + | 0.0760908i | ||||
\(800\) | −42.2116 | + | 157.536i | −0.0527645 | + | 0.196920i | ||||
\(801\) | −154.332 | − | 154.332i | −0.192675 | − | 0.192675i | ||||
\(802\) | −206.598 | − | 357.838i | −0.257603 | − | 0.446182i | ||||
\(803\) | −524.916 | − | 303.061i | −0.653694 | − | 0.377410i | ||||
\(804\) | −69.9477 | + | 18.7424i | −0.0869996 | + | 0.0233115i | ||||
\(805\) | − | 394.846i | − | 0.490491i | ||||||
\(806\) | −480.248 | + | 126.861i | −0.595841 | + | 0.157396i | ||||
\(807\) | 365.054 | 0.452360 | ||||||||
\(808\) | 94.0687 | + | 351.069i | 0.116422 | + | 0.434491i | ||||
\(809\) | 58.9793 | − | 102.155i | 0.0729040 | − | 0.126273i | −0.827269 | − | 0.561806i | \(-0.810107\pi\) |
0.900173 | + | 0.435533i | \(0.143440\pi\) | |||||||
\(810\) | 96.7872 | − | 55.8801i | 0.119490 | − | 0.0689878i | ||||
\(811\) | −49.7231 | + | 49.7231i | −0.0613109 | + | 0.0613109i | −0.737097 | − | 0.675787i | \(-0.763804\pi\) |
0.675787 | + | 0.737097i | \(0.263804\pi\) | |||||||
\(812\) | 366.891 | + | 98.3081i | 0.451836 | + | 0.121069i | ||||
\(813\) | −426.135 | + | 1590.36i | −0.524151 | + | 1.95616i | ||||
\(814\) | −666.396 | − | 666.396i | −0.818668 | − | 0.818668i | ||||
\(815\) | −249.881 | − | 432.807i | −0.306602 | − | 0.531051i | ||||
\(816\) | 14.0397 | + | 8.10584i | 0.0172055 | + | 0.00993363i | ||||
\(817\) | 383.938 | − | 102.876i | 0.469936 | − | 0.125919i | ||||
\(818\) | − | 389.495i | − | 0.476155i | ||||||
\(819\) | −940.762 | + | 1616.21i | −1.14867 | + | 1.97339i | ||||
\(820\) | −58.3065 | −0.0711055 | ||||||||
\(821\) | 298.814 | + | 1115.19i | 0.363964 | + | 1.35833i | 0.868820 | + | 0.495129i | \(0.164879\pi\) |
−0.504856 | + | 0.863204i | \(0.668454\pi\) | |||||||
\(822\) | −378.380 | + | 655.373i | −0.460316 | + | 0.797291i | ||||
\(823\) | −932.891 | + | 538.605i | −1.13352 | + | 0.654441i | −0.944819 | − | 0.327593i | \(-0.893762\pi\) |
−0.188705 | + | 0.982034i | \(0.560429\pi\) | |||||||
\(824\) | −433.644 | + | 433.644i | −0.526266 | + | 0.526266i | ||||
\(825\) | −381.026 | − | 102.096i | −0.461850 | − | 0.123752i | ||||
\(826\) | −31.5726 | + | 117.830i | −0.0382235 | + | 0.142652i | ||||
\(827\) | −911.785 | − | 911.785i | −1.10252 | − | 1.10252i | −0.994106 | − | 0.108416i | \(-0.965422\pi\) |
−0.108416 | − | 0.994106i | \(-0.534578\pi\) | |||||||
\(828\) | −236.926 | − | 410.368i | −0.286142 | − | 0.495613i | ||||
\(829\) | −630.777 | − | 364.180i | −0.760890 | − | 0.439300i | 0.0687255 | − | 0.997636i | \(-0.478107\pi\) |
−0.829615 | + | 0.558336i | \(0.811440\pi\) | |||||||
\(830\) | −94.4661 | + | 25.3121i | −0.113815 | + | 0.0304965i | ||||
\(831\) | − | 1822.55i | − | 2.19320i | ||||||
\(832\) | −309.944 | − | 312.147i | −0.372529 | − | 0.375176i | ||||
\(833\) | 269.863 | 0.323965 | ||||||||
\(834\) | −193.825 | − | 723.366i | −0.232404 | − | 0.867345i | ||||
\(835\) | −1.64679 | + | 2.85233i | −0.00197221 | + | 0.00341597i | ||||
\(836\) | −314.877 | + | 181.794i | −0.376647 | + | 0.217457i | ||||
\(837\) | 334.392 | − | 334.392i | 0.399513 | − | 0.399513i | ||||
\(838\) | 585.450 | + | 156.871i | 0.698627 | + | 0.187197i | ||||
\(839\) | 248.820 | − | 928.609i | 0.296567 | − | 1.10680i | −0.643397 | − | 0.765533i | \(-0.722476\pi\) |
0.939965 | − | 0.341272i | \(-0.110858\pi\) | |||||||
\(840\) | 670.834 | + | 670.834i | 0.798612 | + | 0.798612i | ||||
\(841\) | 344.141 | + | 596.070i | 0.409204 | + | 0.708763i | ||||
\(842\) | 328.765 | + | 189.812i | 0.390457 | + | 0.225430i | ||||
\(843\) | 1728.22 | − | 463.076i | 2.05009 | − | 0.549319i | ||||
\(844\) | − | 610.211i | − | 0.722999i | ||||||
\(845\) | 265.314 | + | 269.098i | 0.313981 | + | 0.318459i | ||||
\(846\) | 1134.28 | 1.34075 | ||||||||
\(847\) | 528.476 | + | 1972.30i | 0.623938 | + | 2.32857i | ||||
\(848\) | −11.3943 | + | 19.7354i | −0.0134366 | + | 0.0232729i | ||||
\(849\) | −523.874 | + | 302.459i | −0.617048 | + | 0.356253i | ||||
\(850\) | 12.4639 | − | 12.4639i | 0.0146634 | − | 0.0146634i | ||||
\(851\) | 671.518 | + | 179.933i | 0.789093 | + | 0.211437i | ||||
\(852\) | −178.128 | + | 664.784i | −0.209071 | + | 0.780263i | ||||
\(853\) | 1114.17 | + | 1114.17i | 1.30618 | + | 1.30618i | 0.924153 | + | 0.382022i | \(0.124772\pi\) |
0.382022 | + | 0.924153i | \(0.375228\pi\) | |||||||
\(854\) | 448.963 | + | 777.626i | 0.525718 | + | 0.910570i | ||||
\(855\) | −192.224 | − | 110.981i | −0.224824 | − | 0.129802i | ||||
\(856\) | −966.081 | + | 258.861i | −1.12860 | + | 0.302407i | ||||
\(857\) | − | 29.0117i | − | 0.0338526i | −0.999857 | − | 0.0169263i | \(-0.994612\pi\) | ||
0.999857 | − | 0.0169263i | \(-0.00538806\pi\) | |||||||
\(858\) | 860.410 | − | 854.339i | 1.00281 | − | 0.995734i | ||||
\(859\) | 23.6402 | 0.0275206 | 0.0137603 | − | 0.999905i | \(-0.495620\pi\) | ||||
0.0137603 | + | 0.999905i | \(0.495620\pi\) | |||||||
\(860\) | −73.4503 | − | 274.120i | −0.0854073 | − | 0.318744i | ||||
\(861\) | −272.324 | + | 471.679i | −0.316288 | + | 0.547827i | ||||
\(862\) | −660.908 | + | 381.575i | −0.766715 | + | 0.442663i | ||||
\(863\) | 1097.31 | − | 1097.31i | 1.27150 | − | 1.27150i | 0.326202 | − | 0.945300i | \(-0.394231\pi\) |
0.945300 | − | 0.326202i | \(-0.105769\pi\) | |||||||
\(864\) | 461.015 | + | 123.529i | 0.533582 | + | 0.142973i | ||||
\(865\) | −70.9000 | + | 264.602i | −0.0819653 | + | 0.305899i | ||||
\(866\) | 423.883 | + | 423.883i | 0.489472 | + | 0.489472i | ||||
\(867\) | 644.545 | + | 1116.38i | 0.743419 | + | 1.28764i | ||||
\(868\) | −860.288 | − | 496.688i | −0.991115 | − | 0.572221i | ||||
\(869\) | −108.864 | + | 29.1701i | −0.125275 | + | 0.0335675i | ||||
\(870\) | − | 150.346i | − | 0.172811i | ||||||
\(871\) | 67.9352 | + | 39.5437i | 0.0779968 | + | 0.0454004i | ||||
\(872\) | 1.51788 | 0.00174069 | ||||||||
\(873\) | −397.120 | − | 1482.07i | −0.454892 | − | 1.69768i | ||||
\(874\) | −72.0269 | + | 124.754i | −0.0824106 | + | 0.142739i | ||||
\(875\) | −114.360 | + | 66.0256i | −0.130697 | + | 0.0754578i | ||||
\(876\) | −299.418 | + | 299.418i | −0.341802 | + | 0.341802i | ||||
\(877\) | −226.964 | − | 60.8147i | −0.258795 | − | 0.0693440i | 0.127088 | − | 0.991891i | \(-0.459437\pi\) |
−0.385884 | + | 0.922547i | \(0.626103\pi\) | |||||||
\(878\) | 261.954 | − | 977.626i | 0.298353 | − | 1.11347i | ||||
\(879\) | −365.071 | − | 365.071i | −0.415325 | − | 0.415325i | ||||
\(880\) | 22.6420 | + | 39.2172i | 0.0257296 | + | 0.0445650i | ||||
\(881\) | −503.961 | − | 290.962i | −0.572032 | − | 0.330263i | 0.185928 | − | 0.982563i | \(-0.440471\pi\) |
−0.757961 | + | 0.652300i | \(0.773804\pi\) | |||||||
\(882\) | 1258.70 | − | 337.269i | 1.42710 | − | 0.382391i | ||||
\(883\) | − | 348.354i | − | 0.394512i | −0.980352 | − | 0.197256i | \(-0.936797\pi\) | ||
0.980352 | − | 0.197256i | \(-0.0632031\pi\) | |||||||
\(884\) | −25.7641 | − | 97.5329i | −0.0291449 | − | 0.110331i | ||||
\(885\) | −89.9010 | −0.101583 | ||||||||
\(886\) | 98.0242 | + | 365.831i | 0.110637 | + | 0.412902i | ||||
\(887\) | 678.520 | − | 1175.23i | 0.764961 | − | 1.32495i | −0.175306 | − | 0.984514i | \(-0.556092\pi\) |
0.940267 | − | 0.340437i | \(-0.110575\pi\) | |||||||
\(888\) | −1446.60 | + | 835.193i | −1.62905 | + | 0.940532i | ||||
\(889\) | 915.372 | − | 915.372i | 1.02966 | − | 1.02966i | ||||
\(890\) | 45.7591 | + | 12.2611i | 0.0514148 | + | 0.0137765i | ||||
\(891\) | 187.577 | − | 700.045i | 0.210524 | − | 0.785685i | ||||
\(892\) | −705.266 | − | 705.266i | −0.790656 | − | 0.790656i | ||||
\(893\) | 321.014 | + | 556.012i | 0.359478 | + | 0.622634i | ||||
\(894\) | 907.889 | + | 524.170i | 1.01554 | + | 0.586320i | ||||
\(895\) | −88.1451 | + | 23.6184i | −0.0984861 | + | 0.0263893i | ||||
\(896\) | − | 1068.55i | − | 1.19258i | ||||||
\(897\) | −234.558 | + | 863.146i | −0.261491 | + | 0.962259i | ||||
\(898\) | 154.982 | 0.172586 | ||||||||
\(899\) | 103.373 | + | 385.793i | 0.114987 | + | 0.429136i | ||||
\(900\) | −79.2369 | + | 137.242i | −0.0880410 | + | 0.152491i | ||||
\(901\) | 49.8155 | − | 28.7610i | 0.0552892 | − | 0.0319212i | ||||
\(902\) | 143.597 | − | 143.597i | 0.159198 | − | 0.159198i | ||||
\(903\) | −2560.59 | − | 686.107i | −2.83565 | − | 0.759809i | ||||
\(904\) | 104.152 | − | 388.701i | 0.115213 | − | 0.429979i | ||||
\(905\) | 175.586 | + | 175.586i | 0.194017 | + | 0.194017i | ||||
\(906\) | −459.194 | − | 795.347i | −0.506837 | − | 0.877867i | ||||
\(907\) | 1002.28 | + | 578.668i | 1.10505 | + | 0.638002i | 0.937543 | − | 0.347869i | \(-0.113095\pi\) |
0.167508 | + | 0.985871i | \(0.446428\pi\) | |||||||
\(908\) | −602.027 | + | 161.313i | −0.663025 | + | 0.177657i | ||||
\(909\) | 567.120i | 0.623894i | ||||||||
\(910\) | 1.43702 | − | 405.898i | 0.00157915 | − | 0.446042i | ||||
\(911\) | −681.212 | −0.747763 | −0.373882 | − | 0.927476i | \(-0.621973\pi\) | ||||
−0.373882 | + | 0.927476i | \(0.621973\pi\) | |||||||
\(912\) | 11.4682 | + | 42.7999i | 0.0125748 | + | 0.0469297i | ||||
\(913\) | −317.101 | + | 549.234i | −0.347317 | + | 0.601571i | ||||
\(914\) | −509.952 | + | 294.421i | −0.557934 | + | 0.322123i | ||||
\(915\) | −467.925 | + | 467.925i | −0.511393 | + | 0.511393i | ||||
\(916\) | −352.075 | − | 94.3381i | −0.384361 | − | 0.102989i | ||||
\(917\) | −296.297 | + | 1105.79i | −0.323115 | + | 1.20588i | ||||
\(918\) | −36.4745 | − | 36.4745i | −0.0397326 | − | 0.0397326i | ||||
\(919\) | −801.092 | − | 1387.53i | −0.871699 | − | 1.50983i | −0.860238 | − | 0.509893i | \(-0.829685\pi\) |
−0.0114617 | − | 0.999934i | \(-0.503648\pi\) | |||||||
\(920\) | 225.981 | + | 130.470i | 0.245631 | + | 0.141815i | ||||
\(921\) | 1046.06 | − | 280.292i | 1.13579 | − | 0.304334i | ||||
\(922\) | 720.390i | 0.781335i | ||||||||
\(923\) | 648.302 | − | 371.243i | 0.702386 | − | 0.402214i | ||||
\(924\) | 2424.87 | 2.62432 | ||||||||
\(925\) | −60.1763 | − | 224.581i | −0.0650554 | − | 0.242790i | ||||
\(926\) | 170.753 | − | 295.753i | 0.184399 | − | 0.319388i | ||||
\(927\) | −828.714 | + | 478.458i | −0.893974 | + | 0.516136i | ||||
\(928\) | −285.033 | + | 285.033i | −0.307148 | + | 0.307148i | ||||
\(929\) | −976.044 | − | 261.530i | −1.05064 | − | 0.281518i | −0.308123 | − | 0.951346i | \(-0.599701\pi\) |
−0.742516 | + | 0.669829i | \(0.766368\pi\) | |||||||
\(930\) | −101.767 | + | 379.800i | −0.109427 | + | 0.408387i | ||||
\(931\) | 521.555 | + | 521.555i | 0.560209 | + | 0.560209i | ||||
\(932\) | −247.103 | − | 427.995i | −0.265132 | − | 0.459222i | ||||
\(933\) | 1724.87 | + | 995.856i | 1.84874 | + | 1.06737i | ||||
\(934\) | −347.473 | + | 93.1052i | −0.372027 | + | 0.0996844i | ||||
\(935\) | − | 114.305i | − | 0.122251i | ||||||
\(936\) | −614.139 | − | 1072.47i | −0.656131 | − | 1.14580i | ||||
\(937\) | 743.172 | 0.793140 | 0.396570 | − | 0.918004i | \(-0.370200\pi\) | ||||
0.396570 | + | 0.918004i | \(0.370200\pi\) | |||||||
\(938\) | −21.8524 | − | 81.5543i | −0.0232968 | − | 0.0869449i | ||||
\(939\) | −60.5172 | + | 104.819i | −0.0644485 | + | 0.111628i | ||||
\(940\) | 396.976 | − | 229.194i | 0.422315 | − | 0.243824i | ||||
\(941\) | −73.4895 | + | 73.4895i | −0.0780972 | + | 0.0780972i | −0.745076 | − | 0.666979i | \(-0.767587\pi\) |
0.666979 | + | 0.745076i | \(0.267587\pi\) | |||||||
\(942\) | −1577.09 | − | 422.579i | −1.67419 | − | 0.448598i | ||||
\(943\) | −38.7724 | + | 144.701i | −0.0411160 | + | 0.153447i | ||||
\(944\) | 7.29767 | + | 7.29767i | 0.00773058 | + | 0.00773058i | ||||
\(945\) | 193.218 | + | 334.664i | 0.204464 | + | 0.354142i | ||||
\(946\) | 855.993 | + | 494.208i | 0.904855 | + | 0.522418i | ||||
\(947\) | −239.020 | + | 64.0453i | −0.252397 | + | 0.0676296i | −0.382799 | − | 0.923832i | \(-0.625040\pi\) |
0.130402 | + | 0.991461i | \(0.458373\pi\) | |||||||
\(948\) | 78.7364i | 0.0830553i | ||||||||
\(949\) | 459.638 | + | 1.62728i | 0.484339 | + | 0.00171473i | ||||
\(950\) | 48.1770 | 0.0507126 | ||||||||
\(951\) | 203.140 | + | 758.130i | 0.213607 | + | 0.797192i | ||||
\(952\) | −137.452 | + | 238.075i | −0.144383 | + | 0.250078i | ||||
\(953\) | 484.282 | − | 279.600i | 0.508166 | − | 0.293390i | −0.223914 | − | 0.974609i | \(-0.571883\pi\) |
0.732079 | + | 0.681219i | \(0.238550\pi\) | |||||||
\(954\) | 196.406 | − | 196.406i | 0.205877 | − | 0.205877i | ||||
\(955\) | −275.969 | − | 73.9458i | −0.288973 | − | 0.0774302i | ||||
\(956\) | 290.088 | − | 1082.62i | 0.303440 | − | 1.13245i | ||||
\(957\) | −689.400 | − | 689.400i | −0.720376 | − | 0.720376i | ||||
\(958\) | 179.278 | + | 310.519i | 0.187138 | + | 0.324132i | ||||
\(959\) | 1422.71 | + | 821.399i | 1.48353 | + | 0.856516i | ||||
\(960\) | −336.344 | + | 90.1232i | −0.350359 | + | 0.0938783i | ||||
\(961\) | − | 83.5536i | − | 0.0869444i | ||||||
\(962\) | 689.660 | + | 187.413i | 0.716903 | + | 0.194816i | ||||
\(963\) | −1560.62 | −1.62058 | ||||||||
\(964\) | 11.8835 | + | 44.3497i | 0.0123272 | + | 0.0460059i | ||||
\(965\) | −269.899 | + | 467.478i | −0.279688 | + | 0.484434i | ||||
\(966\) | 832.020 | − | 480.367i | 0.861305 | − | 0.497275i | ||||
\(967\) | −471.135 | + | 471.135i | −0.487214 | + | 0.487214i | −0.907426 | − | 0.420212i | \(-0.861956\pi\) |
0.420212 | + | 0.907426i | \(0.361956\pi\) | |||||||
\(968\) | −1303.42 | − | 349.251i | −1.34651 | − | 0.360797i | ||||
\(969\) | 28.9477 | − | 108.034i | 0.0298737 | − | 0.111490i | ||||
\(970\) | 235.490 | + | 235.490i | 0.242773 | + | 0.242773i | ||||
\(971\) | 193.223 | + | 334.672i | 0.198994 | + | 0.344668i | 0.948202 | − | 0.317667i | \(-0.102899\pi\) |
−0.749209 | + | 0.662334i | \(0.769566\pi\) | |||||||
\(972\) | −735.260 | − | 424.503i | −0.756440 | − | 0.436731i | ||||
\(973\) | −1570.31 | + | 420.762i | −1.61388 | + | 0.432438i | ||||
\(974\) | − | 924.774i | − | 0.949460i | ||||||
\(975\) | 289.217 | − | 76.3990i | 0.296632 | − | 0.0783579i | ||||
\(976\) | 75.9671 | 0.0778352 | ||||||||
\(977\) | −288.802 | − | 1077.82i | −0.295601 | − | 1.10320i | −0.940739 | − | 0.339131i | \(-0.889867\pi\) |
0.645138 | − | 0.764066i | \(-0.276800\pi\) | |||||||
\(978\) | 608.008 | − | 1053.10i | 0.621685 | − | 1.07679i | ||||
\(979\) | 266.048 | − | 153.603i | 0.271755 | − | 0.156898i | ||||
\(980\) | 372.374 | − | 372.374i | 0.379974 | − | 0.379974i | ||||
\(981\) | 2.28774 | + | 0.612999i | 0.00233205 | + | 0.000624871i | ||||
\(982\) | 149.591 | − | 558.280i | 0.152333 | − | 0.568513i | ||||
\(983\) | 1007.03 | + | 1007.03i | 1.02445 | + | 1.02445i | 0.999694 | + | 0.0247518i | \(0.00787956\pi\) |
0.0247518 | + | 0.999694i | \(0.492120\pi\) | |||||||
\(984\) | −179.970 | − | 311.717i | −0.182896 | − | 0.316785i | ||||
\(985\) | −14.4457 | − | 8.34022i | −0.0146657 | − | 0.00846723i | ||||
\(986\) | 42.0811 | − | 11.2756i | 0.0426786 | − | 0.0114357i | ||||
\(987\) | − | 4281.86i | − | 4.33826i | ||||||
\(988\) | 138.705 | − | 238.292i | 0.140390 | − | 0.241186i | ||||
\(989\) | −729.133 | −0.737242 | ||||||||
\(990\) | −142.855 | − | 533.143i | −0.144298 | − | 0.538528i | ||||
\(991\) | −455.563 | + | 789.058i | −0.459700 | + | 0.796224i | −0.998945 | − | 0.0459253i | \(-0.985376\pi\) |
0.539245 | + | 0.842149i | \(0.318710\pi\) | |||||||
\(992\) | 912.980 | − | 527.109i | 0.920343 | − | 0.531360i | ||||
\(993\) | −151.168 | + | 151.168i | −0.152234 | + | 0.152234i | ||||
\(994\) | −775.094 | − | 207.686i | −0.779773 | − | 0.208939i | ||||
\(995\) | 56.6126 | − | 211.281i | 0.0568971 | − | 0.212343i | ||||
\(996\) | 313.289 | + | 313.289i | 0.314548 | + | 0.314548i | ||||
\(997\) | 492.171 | + | 852.465i | 0.493652 | + | 0.855030i | 0.999973 | − | 0.00731495i | \(-0.00232844\pi\) |
−0.506322 | + | 0.862345i | \(0.668995\pi\) | |||||||
\(998\) | 443.111 | + | 255.830i | 0.443999 | + | 0.256343i | ||||
\(999\) | −657.217 | + | 176.101i | −0.657875 | + | 0.176277i |
(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 | 65.3.p.a.6.4 | ✓ | 40 | |
5.2 | odd | 4 | 325.3.w.e.149.7 | 40 | |||
5.3 | odd | 4 | 325.3.w.f.149.4 | 40 | |||
5.4 | even | 2 | 325.3.t.d.201.7 | 40 | |||
13.11 | odd | 12 | inner | 65.3.p.a.11.4 | yes | 40 | |
65.24 | odd | 12 | 325.3.t.d.76.7 | 40 | |||
65.37 | even | 12 | 325.3.w.f.24.4 | 40 | |||
65.63 | even | 12 | 325.3.w.e.24.7 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
65.3.p.a.6.4 | ✓ | 40 | 1.1 | even | 1 | trivial | |
65.3.p.a.11.4 | yes | 40 | 13.11 | odd | 12 | inner | |
325.3.t.d.76.7 | 40 | 65.24 | odd | 12 | |||
325.3.t.d.201.7 | 40 | 5.4 | even | 2 | |||
325.3.w.e.24.7 | 40 | 65.63 | even | 12 | |||
325.3.w.e.149.7 | 40 | 5.2 | odd | 4 | |||
325.3.w.f.24.4 | 40 | 65.37 | even | 12 | |||
325.3.w.f.149.4 | 40 | 5.3 | odd | 4 |