Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [348,3,Mod(7,348)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(348, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 6]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("348.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 348 = 2^{2} \cdot 3 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 348.p (of order \(14\), 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: | \(9.48231319974\) |
Analytic rank: | \(0\) |
Dimension: | \(360\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 7.18 | ||
Character | \(\chi\) | \(=\) | 348.7 |
Dual form | 348.3.p.a.199.18 |
$q$-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 \(\left(\mathbb{Z}/348\mathbb{Z}\right)^\times\).
\(n\) | \(175\) | \(205\) | \(233\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{7}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.34742 | − | 1.47799i | −0.673709 | − | 0.738997i | ||||
\(3\) | −0.751509 | + | 1.56052i | −0.250503 | + | 0.520175i | ||||
\(4\) | −0.368934 | + | 3.98295i | −0.0922335 | + | 0.995737i | ||||
\(5\) | 1.46187 | + | 6.40485i | 0.292373 | + | 1.28097i | 0.881212 | + | 0.472721i | \(0.156728\pi\) |
−0.588839 | + | 0.808250i | \(0.700415\pi\) | |||||||
\(6\) | 3.31904 | − | 0.991951i | 0.553173 | − | 0.165325i | ||||
\(7\) | −3.03117 | + | 6.29428i | −0.433024 | + | 0.899184i | 0.564265 | + | 0.825594i | \(0.309160\pi\) |
−0.997289 | + | 0.0735895i | \(0.976555\pi\) | |||||||
\(8\) | 6.38388 | − | 4.82141i | 0.797986 | − | 0.602677i | ||||
\(9\) | −1.87047 | − | 2.34549i | −0.207830 | − | 0.260610i | ||||
\(10\) | 7.49659 | − | 10.7906i | 0.749659 | − | 1.07906i | ||||
\(11\) | 13.6552 | + | 10.8897i | 1.24138 | + | 0.989971i | 0.999808 | + | 0.0195895i | \(0.00623594\pi\) |
0.241577 | + | 0.970382i | \(0.422335\pi\) | |||||||
\(12\) | −5.93823 | − | 3.56895i | −0.494853 | − | 0.297413i | ||||
\(13\) | 9.51612 | − | 11.9328i | 0.732009 | − | 0.917910i | −0.266941 | − | 0.963713i | \(-0.586013\pi\) |
0.998951 | + | 0.0458023i | \(0.0145844\pi\) | |||||||
\(14\) | 13.3872 | − | 4.00098i | 0.956226 | − | 0.285784i | ||||
\(15\) | −11.0935 | − | 2.53203i | −0.739569 | − | 0.168802i | ||||
\(16\) | −15.7278 | − | 2.93889i | −0.982986 | − | 0.183681i | ||||
\(17\) | −26.4350 | −1.55500 | −0.777501 | − | 0.628882i | \(-0.783513\pi\) | ||||
−0.777501 | + | 0.628882i | \(0.783513\pi\) | |||||||
\(18\) | −0.946325 | + | 5.92490i | −0.0525736 | + | 0.329161i | ||||
\(19\) | 15.0038 | + | 31.1557i | 0.789674 | + | 1.63978i | 0.768373 | + | 0.640002i | \(0.221067\pi\) |
0.0213010 | + | 0.999773i | \(0.493219\pi\) | |||||||
\(20\) | −26.0495 | + | 3.45957i | −1.30248 | + | 0.172979i | ||||
\(21\) | −7.54443 | − | 9.46042i | −0.359259 | − | 0.450496i | ||||
\(22\) | −2.30440 | − | 34.8553i | −0.104746 | − | 1.58433i | ||||
\(23\) | −26.6899 | − | 6.09179i | −1.16043 | − | 0.264860i | −0.401391 | − | 0.915907i | \(-0.631473\pi\) |
−0.759038 | + | 0.651046i | \(0.774330\pi\) | |||||||
\(24\) | 2.72638 | + | 13.5855i | 0.113599 | + | 0.566064i | ||||
\(25\) | −16.3609 | + | 7.87898i | −0.654435 | + | 0.315159i | ||||
\(26\) | −30.4588 | + | 2.01374i | −1.17149 | + | 0.0774515i | ||||
\(27\) | 5.06587 | − | 1.15625i | 0.187625 | − | 0.0428242i | ||||
\(28\) | −23.9515 | − | 14.3952i | −0.855411 | − | 0.514113i | ||||
\(29\) | 5.22375 | − | 28.5256i | 0.180129 | − | 0.983643i | ||||
\(30\) | 11.2053 | + | 19.8079i | 0.373510 | + | 0.660262i | ||||
\(31\) | 5.21661 | − | 1.19066i | 0.168278 | − | 0.0384083i | −0.137552 | − | 0.990495i | \(-0.543923\pi\) |
0.305830 | + | 0.952086i | \(0.401066\pi\) | |||||||
\(32\) | 16.8482 | + | 27.2055i | 0.526507 | + | 0.850171i | ||||
\(33\) | −27.2556 | + | 13.1256i | −0.825928 | + | 0.397746i | ||||
\(34\) | 35.6190 | + | 39.0708i | 1.04762 | + | 1.14914i | ||||
\(35\) | −44.7451 | − | 10.2128i | −1.27843 | − | 0.291794i | ||||
\(36\) | 10.0321 | − | 6.58465i | 0.278669 | − | 0.182907i | ||||
\(37\) | 17.2559 | + | 21.6382i | 0.466376 | + | 0.584817i | 0.958280 | − | 0.285832i | \(-0.0922701\pi\) |
−0.491903 | + | 0.870650i | \(0.663699\pi\) | |||||||
\(38\) | 25.8316 | − | 64.1553i | 0.679779 | − | 1.68830i | ||||
\(39\) | 11.4700 | + | 23.8178i | 0.294103 | + | 0.610712i | ||||
\(40\) | 40.2128 | + | 33.8396i | 1.00532 | + | 0.845990i | ||||
\(41\) | −44.2348 | −1.07890 | −0.539449 | − | 0.842018i | \(-0.681367\pi\) | ||||
−0.539449 | + | 0.842018i | \(0.681367\pi\) | |||||||
\(42\) | −3.81695 | + | 23.8978i | −0.0908797 | + | 0.568994i | ||||
\(43\) | −23.8077 | − | 5.43395i | −0.553667 | − | 0.126371i | −0.0634718 | − | 0.997984i | \(-0.520217\pi\) |
−0.490195 | + | 0.871613i | \(0.663074\pi\) | |||||||
\(44\) | −48.4109 | + | 50.3705i | −1.10025 | + | 1.14478i | ||||
\(45\) | 12.2882 | − | 15.4089i | 0.273071 | − | 0.342420i | ||||
\(46\) | 26.9588 | + | 47.6557i | 0.586060 | + | 1.03599i | ||||
\(47\) | −39.7953 | − | 31.7357i | −0.846709 | − | 0.675228i | 0.100818 | − | 0.994905i | \(-0.467854\pi\) |
−0.947527 | + | 0.319677i | \(0.896426\pi\) | |||||||
\(48\) | 16.4058 | − | 22.3350i | 0.341787 | − | 0.465312i | ||||
\(49\) | 0.120960 | + | 0.151679i | 0.00246857 | + | 0.00309549i | ||||
\(50\) | 33.6900 | + | 13.5650i | 0.673800 | + | 0.271300i | ||||
\(51\) | 19.8661 | − | 41.2525i | 0.389532 | − | 0.808872i | ||||
\(52\) | 44.0171 | + | 42.3047i | 0.846482 | + | 0.813551i | ||||
\(53\) | 13.1481 | + | 57.6058i | 0.248078 | + | 1.08690i | 0.933450 | + | 0.358708i | \(0.116783\pi\) |
−0.685372 | + | 0.728194i | \(0.740360\pi\) | |||||||
\(54\) | −8.53478 | − | 5.92938i | −0.158051 | − | 0.109803i | ||||
\(55\) | −49.7847 | + | 103.379i | −0.905177 | + | 1.87962i | ||||
\(56\) | 10.9967 | + | 54.7965i | 0.196370 | + | 0.978509i | ||||
\(57\) | −59.8948 | −1.05079 | ||||||||
\(58\) | −49.1993 | + | 30.7153i | −0.848264 | + | 0.529574i | ||||
\(59\) | 29.4411i | 0.499002i | 0.968375 | + | 0.249501i | \(0.0802666\pi\) | ||||
−0.968375 | + | 0.249501i | \(0.919733\pi\) | |||||||
\(60\) | 14.1777 | − | 43.2508i | 0.236295 | − | 0.720847i | ||||
\(61\) | 34.4842 | + | 16.6067i | 0.565314 | + | 0.272241i | 0.694636 | − | 0.719362i | \(-0.255566\pi\) |
−0.129321 | + | 0.991603i | \(0.541280\pi\) | |||||||
\(62\) | −8.78873 | − | 6.10580i | −0.141754 | − | 0.0984807i | ||||
\(63\) | 20.4329 | − | 4.66368i | 0.324332 | − | 0.0740267i | ||||
\(64\) | 17.5080 | − | 61.5587i | 0.273562 | − | 0.961854i | ||||
\(65\) | 90.3394 | + | 43.5051i | 1.38984 | + | 0.669310i | ||||
\(66\) | 56.1243 | + | 22.5980i | 0.850368 | + | 0.342394i | ||||
\(67\) | 1.00435 | − | 0.800940i | 0.0149903 | − | 0.0119543i | −0.615966 | − | 0.787773i | \(-0.711234\pi\) |
0.630956 | + | 0.775818i | \(0.282663\pi\) | |||||||
\(68\) | 9.75278 | − | 105.289i | 0.143423 | − | 1.54837i | ||||
\(69\) | 29.5641 | − | 37.0722i | 0.428465 | − | 0.537278i | ||||
\(70\) | 45.1959 | + | 79.8939i | 0.645656 | + | 1.14134i | ||||
\(71\) | 30.3008 | + | 24.1641i | 0.426772 | + | 0.340340i | 0.813204 | − | 0.581978i | \(-0.197721\pi\) |
−0.386432 | + | 0.922318i | \(0.626293\pi\) | |||||||
\(72\) | −23.2495 | − | 5.95506i | −0.322909 | − | 0.0827092i | ||||
\(73\) | 19.5388 | − | 85.6051i | 0.267655 | − | 1.17267i | −0.645078 | − | 0.764117i | \(-0.723175\pi\) |
0.912733 | − | 0.408556i | \(-0.133968\pi\) | |||||||
\(74\) | 8.73027 | − | 54.6599i | 0.117977 | − | 0.738647i | ||||
\(75\) | − | 31.4527i | − | 0.419369i | ||||||
\(76\) | −129.627 | + | 48.2650i | −1.70562 | + | 0.635066i | ||||
\(77\) | −109.934 | + | 52.9415i | −1.42772 | + | 0.687551i | ||||
\(78\) | 19.7476 | − | 49.0451i | 0.253174 | − | 0.628783i | ||||
\(79\) | −22.9889 | + | 18.3330i | −0.290998 | + | 0.232063i | −0.758097 | − | 0.652142i | \(-0.773871\pi\) |
0.467099 | + | 0.884205i | \(0.345299\pi\) | |||||||
\(80\) | −4.16873 | − | 105.030i | −0.0521091 | − | 1.31288i | ||||
\(81\) | −2.00269 | + | 8.77435i | −0.0247245 | + | 0.108325i | ||||
\(82\) | 59.6028 | + | 65.3788i | 0.726863 | + | 0.797303i | ||||
\(83\) | −41.8167 | − | 86.8332i | −0.503815 | − | 1.04618i | −0.985474 | − | 0.169824i | \(-0.945680\pi\) |
0.481659 | − | 0.876359i | \(-0.340034\pi\) | |||||||
\(84\) | 40.4638 | − | 26.5588i | 0.481712 | − | 0.316176i | ||||
\(85\) | −38.6445 | − | 169.312i | −0.454641 | − | 1.99191i | ||||
\(86\) | 24.0475 | + | 42.5094i | 0.279622 | + | 0.494295i | ||||
\(87\) | 40.5893 | + | 29.5891i | 0.466543 | + | 0.340104i | ||||
\(88\) | 139.677 | + | 3.68099i | 1.58724 | + | 0.0418294i | ||||
\(89\) | −33.3850 | − | 146.269i | −0.375112 | − | 1.64347i | −0.712183 | − | 0.701994i | \(-0.752293\pi\) |
0.337071 | − | 0.941479i | \(-0.390564\pi\) | |||||||
\(90\) | −39.3315 | + | 2.60034i | −0.437017 | + | 0.0288927i | ||||
\(91\) | 46.2637 | + | 96.0676i | 0.508392 | + | 1.05569i | ||||
\(92\) | 34.1101 | − | 104.057i | 0.370762 | − | 1.13105i | ||||
\(93\) | −2.06228 | + | 9.03543i | −0.0221750 | + | 0.0971551i | ||||
\(94\) | 6.71570 | + | 101.578i | 0.0714436 | + | 1.08062i | ||||
\(95\) | −177.614 | + | 141.643i | −1.86962 | + | 1.49098i | ||||
\(96\) | −55.1164 | + | 5.84688i | −0.574129 | + | 0.0609050i | ||||
\(97\) | 73.6310 | − | 35.4588i | 0.759083 | − | 0.365555i | −0.0139654 | − | 0.999902i | \(-0.504445\pi\) |
0.773048 | + | 0.634348i | \(0.218731\pi\) | |||||||
\(98\) | 0.0611971 | − | 0.383153i | 0.000624460 | − | 0.00390972i | ||||
\(99\) | − | 52.3971i | − | 0.529264i | ||||||
\(100\) | −25.3455 | − | 68.0714i | −0.253455 | − | 0.680714i | ||||
\(101\) | −25.8697 | + | 113.342i | −0.256135 | + | 1.12220i | 0.669209 | + | 0.743075i | \(0.266633\pi\) |
−0.925344 | + | 0.379128i | \(0.876224\pi\) | |||||||
\(102\) | −87.7389 | + | 26.2222i | −0.860186 | + | 0.257081i | ||||
\(103\) | 88.7614 | + | 70.7848i | 0.861761 | + | 0.687231i | 0.951138 | − | 0.308766i | \(-0.0999161\pi\) |
−0.0893769 | + | 0.995998i | \(0.528488\pi\) | |||||||
\(104\) | 3.21669 | − | 122.059i | 0.0309297 | − | 1.17364i | ||||
\(105\) | 49.5636 | − | 62.1509i | 0.472035 | − | 0.591913i | ||||
\(106\) | 67.4250 | − | 97.0519i | 0.636085 | − | 0.915584i | ||||
\(107\) | −61.4499 | + | 49.0047i | −0.574298 | + | 0.457987i | −0.867064 | − | 0.498197i | \(-0.833996\pi\) |
0.292766 | + | 0.956184i | \(0.405424\pi\) | |||||||
\(108\) | 2.73632 | + | 20.6037i | 0.0253363 | + | 0.190775i | ||||
\(109\) | −82.9742 | − | 39.9583i | −0.761231 | − | 0.366590i | 0.0126502 | − | 0.999920i | \(-0.495973\pi\) |
−0.773882 | + | 0.633330i | \(0.781688\pi\) | |||||||
\(110\) | 219.874 | − | 65.7131i | 1.99886 | − | 0.597392i | ||||
\(111\) | −46.7350 | + | 10.6670i | −0.421036 | + | 0.0960987i | ||||
\(112\) | 66.1717 | − | 90.0868i | 0.590819 | − | 0.804347i | ||||
\(113\) | −31.1078 | − | 14.9807i | −0.275290 | − | 0.132573i | 0.291145 | − | 0.956679i | \(-0.405964\pi\) |
−0.566436 | + | 0.824106i | \(0.691678\pi\) | |||||||
\(114\) | 80.7032 | + | 88.5241i | 0.707923 | + | 0.776527i | ||||
\(115\) | − | 179.850i | − | 1.56391i | ||||||
\(116\) | 111.689 | + | 31.3300i | 0.962836 | + | 0.270086i | ||||
\(117\) | −45.7880 | −0.391351 | ||||||||
\(118\) | 43.5138 | − | 39.6695i | 0.368761 | − | 0.336182i | ||||
\(119\) | 80.1290 | − | 166.390i | 0.673353 | − | 1.39823i | ||||
\(120\) | −83.0278 | + | 37.3223i | −0.691898 | + | 0.311019i | ||||
\(121\) | 40.9551 | + | 179.436i | 0.338472 | + | 1.48294i | ||||
\(122\) | −21.9200 | − | 73.3436i | −0.179672 | − | 0.601177i | ||||
\(123\) | 33.2429 | − | 69.0295i | 0.270267 | − | 0.561215i | ||||
\(124\) | 2.81774 | + | 21.2168i | 0.0227237 | + | 0.171103i | ||||
\(125\) | 28.0203 | + | 35.1363i | 0.224162 | + | 0.281091i | ||||
\(126\) | −34.4246 | − | 23.9158i | −0.273211 | − | 0.189808i | ||||
\(127\) | −27.3049 | − | 21.7750i | −0.214999 | − | 0.171456i | 0.510068 | − | 0.860134i | \(-0.329620\pi\) |
−0.725068 | + | 0.688678i | \(0.758192\pi\) | |||||||
\(128\) | −114.574 | + | 57.0685i | −0.895109 | + | 0.445848i | ||||
\(129\) | 26.3715 | − | 33.0688i | 0.204430 | − | 0.256347i | ||||
\(130\) | −57.4244 | − | 192.141i | −0.441727 | − | 1.47800i | ||||
\(131\) | −148.763 | − | 33.9543i | −1.13560 | − | 0.259193i | −0.386912 | − | 0.922117i | \(-0.626458\pi\) |
−0.748687 | + | 0.662924i | \(0.769315\pi\) | |||||||
\(132\) | −42.2232 | − | 113.400i | −0.319872 | − | 0.859093i | ||||
\(133\) | −241.582 | −1.81641 | ||||||||
\(134\) | −2.53706 | − | 0.405219i | −0.0189333 | − | 0.00302402i | ||||
\(135\) | 14.8113 | + | 30.7559i | 0.109713 | + | 0.227821i | ||||
\(136\) | −168.758 | + | 127.454i | −1.24087 | + | 0.937163i | ||||
\(137\) | 76.4856 | + | 95.9099i | 0.558289 | + | 0.700072i | 0.978240 | − | 0.207474i | \(-0.0665244\pi\) |
−0.419952 | + | 0.907546i | \(0.637953\pi\) | |||||||
\(138\) | −94.6276 | + | 6.25615i | −0.685707 | + | 0.0453344i | ||||
\(139\) | −146.227 | − | 33.3754i | −1.05199 | − | 0.240111i | −0.338641 | − | 0.940916i | \(-0.609967\pi\) |
−0.713353 | + | 0.700805i | \(0.752824\pi\) | |||||||
\(140\) | 57.1850 | − | 174.450i | 0.408464 | − | 1.24607i | ||||
\(141\) | 79.4309 | − | 38.2519i | 0.563339 | − | 0.271290i | ||||
\(142\) | −5.11345 | − | 77.3436i | −0.0360102 | − | 0.544673i | ||||
\(143\) | 259.890 | − | 59.3181i | 1.81741 | − | 0.414812i | ||||
\(144\) | 22.5252 | + | 42.3865i | 0.156425 | + | 0.294351i | ||||
\(145\) | 190.339 | − | 8.24334i | 1.31268 | − | 0.0568506i | ||||
\(146\) | −152.851 | + | 86.4675i | −1.04692 | + | 0.592243i | ||||
\(147\) | −0.327601 | + | 0.0747727i | −0.00222858 | + | 0.000508658i | ||||
\(148\) | −92.5503 | + | 60.7464i | −0.625340 | + | 0.410449i | ||||
\(149\) | 204.664 | − | 98.5611i | 1.37359 | − | 0.661484i | 0.405964 | − | 0.913889i | \(-0.366936\pi\) |
0.967622 | + | 0.252405i | \(0.0812216\pi\) | |||||||
\(150\) | −46.4869 | + | 42.3799i | −0.309912 | + | 0.282532i | ||||
\(151\) | 129.116 | + | 29.4699i | 0.855072 | + | 0.195165i | 0.627519 | − | 0.778601i | \(-0.284070\pi\) |
0.227553 | + | 0.973766i | \(0.426928\pi\) | |||||||
\(152\) | 245.997 | + | 126.555i | 1.61840 | + | 0.832599i | ||||
\(153\) | 49.4459 | + | 62.0032i | 0.323176 | + | 0.405250i | ||||
\(154\) | 226.374 | + | 91.1477i | 1.46996 | + | 0.591868i | ||||
\(155\) | 15.2520 | + | 31.6710i | 0.0983997 | + | 0.204329i | ||||
\(156\) | −99.0966 | + | 36.8974i | −0.635235 | + | 0.236522i | ||||
\(157\) | 99.2204 | 0.631977 | 0.315988 | − | 0.948763i | \(-0.397664\pi\) | ||||
0.315988 | + | 0.948763i | \(0.397664\pi\) | |||||||
\(158\) | 58.0716 | + | 9.27520i | 0.367542 | + | 0.0587038i | ||||
\(159\) | −99.7762 | − | 22.7733i | −0.627523 | − | 0.143228i | ||||
\(160\) | −149.617 | + | 147.681i | −0.935108 | + | 0.923007i | ||||
\(161\) | 119.245 | − | 149.528i | 0.740652 | − | 0.928748i | ||||
\(162\) | 15.6669 | − | 8.86275i | 0.0967092 | − | 0.0547083i | ||||
\(163\) | 125.901 | + | 100.403i | 0.772400 | + | 0.615968i | 0.928312 | − | 0.371803i | \(-0.121260\pi\) |
−0.155912 | + | 0.987771i | \(0.549832\pi\) | |||||||
\(164\) | 16.3197 | − | 176.185i | 0.0995106 | − | 1.07430i | ||||
\(165\) | −123.912 | − | 155.380i | −0.750981 | − | 0.941700i | ||||
\(166\) | −71.9945 | + | 178.805i | −0.433702 | + | 1.07714i | ||||
\(167\) | −64.1672 | + | 133.245i | −0.384235 | + | 0.797872i | 0.615716 | + | 0.787968i | \(0.288867\pi\) |
−0.999951 | + | 0.00990376i | \(0.996847\pi\) | |||||||
\(168\) | −93.7754 | − | 24.0194i | −0.558187 | − | 0.142973i | ||||
\(169\) | −14.2300 | − | 62.3458i | −0.0842012 | − | 0.368910i | ||||
\(170\) | −198.173 | + | 285.251i | −1.16572 | + | 1.67795i | ||||
\(171\) | 45.0114 | − | 93.4672i | 0.263225 | − | 0.546592i | ||||
\(172\) | 30.4266 | − | 92.8200i | 0.176899 | − | 0.539651i | ||||
\(173\) | 336.374 | 1.94436 | 0.972179 | − | 0.234240i | \(-0.0752600\pi\) | ||||
0.972179 | + | 0.234240i | \(0.0752600\pi\) | |||||||
\(174\) | −10.9582 | − | 99.8595i | −0.0629783 | − | 0.573905i | ||||
\(175\) | − | 126.863i | − | 0.724929i | ||||||
\(176\) | −182.763 | − | 211.402i | −1.03843 | − | 1.20115i | ||||
\(177\) | −45.9436 | − | 22.1253i | −0.259568 | − | 0.125001i | ||||
\(178\) | −171.201 | + | 246.428i | −0.961806 | + | 1.38443i | ||||
\(179\) | 153.743 | − | 35.0908i | 0.858899 | − | 0.196038i | 0.229680 | − | 0.973266i | \(-0.426232\pi\) |
0.629219 | + | 0.777228i | \(0.283375\pi\) | |||||||
\(180\) | 56.8393 | + | 54.6280i | 0.315774 | + | 0.303489i | ||||
\(181\) | 193.963 | + | 93.4076i | 1.07162 | + | 0.516064i | 0.884628 | − | 0.466298i | \(-0.154413\pi\) |
0.186990 | + | 0.982362i | \(0.440127\pi\) | |||||||
\(182\) | 79.6508 | − | 197.821i | 0.437642 | − | 1.08693i | ||||
\(183\) | −51.8303 | + | 41.3333i | −0.283226 | + | 0.225865i | ||||
\(184\) | −199.756 | + | 89.7936i | −1.08563 | + | 0.488009i | ||||
\(185\) | −113.364 | + | 142.154i | −0.612778 | + | 0.768399i | ||||
\(186\) | 16.1331 | − | 9.12646i | 0.0867369 | − | 0.0490670i | ||||
\(187\) | −360.976 | − | 287.869i | −1.93035 | − | 1.53941i | ||||
\(188\) | 141.084 | − | 146.794i | 0.750445 | − | 0.780821i | ||||
\(189\) | −8.07773 | + | 35.3908i | −0.0427393 | + | 0.187253i | ||||
\(190\) | 448.668 | + | 71.6612i | 2.36141 | + | 0.377164i | ||||
\(191\) | 9.50106i | 0.0497437i | 0.999691 | + | 0.0248719i | \(0.00791778\pi\) | ||||
−0.999691 | + | 0.0248719i | \(0.992082\pi\) | |||||||
\(192\) | 82.9064 | + | 73.5835i | 0.431804 | + | 0.383247i | ||||
\(193\) | −253.794 | + | 122.221i | −1.31499 | + | 0.633267i | −0.954142 | − | 0.299356i | \(-0.903228\pi\) |
−0.360852 | + | 0.932623i | \(0.617514\pi\) | |||||||
\(194\) | −151.620 | − | 61.0484i | −0.781545 | − | 0.314682i | ||||
\(195\) | −135.782 | + | 108.282i | −0.696316 | + | 0.555293i | ||||
\(196\) | −0.648755 | + | 0.425817i | −0.00330998 | + | 0.00217254i | ||||
\(197\) | −65.9343 | + | 288.877i | −0.334692 | + | 1.46638i | 0.475239 | + | 0.879857i | \(0.342361\pi\) |
−0.809931 | + | 0.586525i | \(0.800496\pi\) | |||||||
\(198\) | −77.4426 | + | 70.6007i | −0.391124 | + | 0.356569i | ||||
\(199\) | 129.241 | + | 268.372i | 0.649453 | + | 1.34860i | 0.922274 | + | 0.386537i | \(0.126329\pi\) |
−0.272821 | + | 0.962065i | \(0.587957\pi\) | |||||||
\(200\) | −66.4581 | + | 129.181i | −0.332291 | + | 0.645905i | ||||
\(201\) | 0.495111 | + | 2.16922i | 0.00246324 | + | 0.0107921i | ||||
\(202\) | 202.377 | − | 114.484i | 1.00187 | − | 0.566754i | ||||
\(203\) | 163.714 | + | 119.346i | 0.806475 | + | 0.587910i | ||||
\(204\) | 156.977 | + | 94.3453i | 0.769496 | + | 0.462477i | ||||
\(205\) | −64.6654 | − | 283.318i | −0.315441 | − | 1.38204i | ||||
\(206\) | −14.9790 | − | 226.566i | −0.0727137 | − | 1.09983i | ||||
\(207\) | 35.6343 | + | 73.9955i | 0.172147 | + | 0.357466i | ||||
\(208\) | −184.737 | + | 159.710i | −0.888157 | + | 0.767837i | ||||
\(209\) | −134.396 | + | 588.825i | −0.643041 | + | 2.81735i | ||||
\(210\) | −158.642 | + | 10.4883i | −0.755436 | + | 0.0499444i | ||||
\(211\) | −28.7580 | + | 22.9337i | −0.136294 | + | 0.108691i | −0.689264 | − | 0.724511i | \(-0.742066\pi\) |
0.552970 | + | 0.833201i | \(0.313494\pi\) | |||||||
\(212\) | −234.292 | + | 31.1157i | −1.10515 | + | 0.146772i | ||||
\(213\) | −60.4800 | + | 29.1256i | −0.283944 | + | 0.136740i | ||||
\(214\) | 155.227 | + | 24.7929i | 0.725361 | + | 0.115855i | ||||
\(215\) | − | 160.428i | − | 0.746178i | ||||||
\(216\) | 26.7652 | − | 31.8061i | 0.123913 | − | 0.147250i | ||||
\(217\) | −8.31808 | + | 36.4439i | −0.0383322 | + | 0.167944i | ||||
\(218\) | 52.7428 | + | 176.476i | 0.241939 | + | 0.809523i | ||||
\(219\) | 118.905 | + | 94.8238i | 0.542946 | + | 0.432985i | ||||
\(220\) | −393.386 | − | 236.430i | −1.78812 | − | 1.07468i | ||||
\(221\) | −251.559 | + | 315.445i | −1.13828 | + | 1.42735i | ||||
\(222\) | 78.7372 | + | 54.7012i | 0.354672 | + | 0.246402i | ||||
\(223\) | 236.240 | − | 188.395i | 1.05937 | − | 0.844822i | 0.0710925 | − | 0.997470i | \(-0.477351\pi\) |
0.988281 | + | 0.152648i | \(0.0487800\pi\) | |||||||
\(224\) | −222.309 | + | 23.5831i | −0.992450 | + | 0.105282i | ||||
\(225\) | 49.0826 | + | 23.6369i | 0.218145 | + | 0.105053i | ||||
\(226\) | 19.7738 | + | 66.1624i | 0.0874945 | + | 0.292754i | ||||
\(227\) | 177.407 | − | 40.4920i | 0.781528 | − | 0.178379i | 0.186899 | − | 0.982379i | \(-0.440156\pi\) |
0.594629 | + | 0.804000i | \(0.297299\pi\) | |||||||
\(228\) | 22.0972 | − | 238.558i | 0.0969176 | − | 1.04631i | ||||
\(229\) | 47.4381 | + | 22.8450i | 0.207153 | + | 0.0997597i | 0.534584 | − | 0.845116i | \(-0.320468\pi\) |
−0.327431 | + | 0.944875i | \(0.606183\pi\) | |||||||
\(230\) | −265.817 | + | 242.333i | −1.15573 | + | 1.05362i | ||||
\(231\) | − | 211.341i | − | 0.914895i | ||||||
\(232\) | −104.186 | − | 207.290i | −0.449078 | − | 0.893493i | ||||
\(233\) | −167.648 | −0.719517 | −0.359759 | − | 0.933045i | \(-0.617141\pi\) | ||||
−0.359759 | + | 0.933045i | \(0.617141\pi\) | |||||||
\(234\) | 61.6955 | + | 67.6744i | 0.263656 | + | 0.289207i | ||||
\(235\) | 145.087 | − | 301.277i | 0.617392 | − | 1.28203i | ||||
\(236\) | −117.263 | − | 10.8618i | −0.496875 | − | 0.0460247i | ||||
\(237\) | −11.3328 | − | 49.6521i | −0.0478175 | − | 0.209502i | ||||
\(238\) | −353.890 | + | 105.766i | −1.48693 | + | 0.444395i | ||||
\(239\) | 52.5454 | − | 109.112i | 0.219855 | − | 0.456534i | −0.761645 | − | 0.647994i | \(-0.775608\pi\) |
0.981500 | + | 0.191461i | \(0.0613224\pi\) | |||||||
\(240\) | 167.035 | + | 72.4258i | 0.695980 | + | 0.301774i | ||||
\(241\) | 167.051 | + | 209.476i | 0.693159 | + | 0.869194i | 0.996492 | − | 0.0836907i | \(-0.0266708\pi\) |
−0.303333 | + | 0.952885i | \(0.598099\pi\) | |||||||
\(242\) | 210.022 | − | 302.307i | 0.867859 | − | 1.24920i | ||||
\(243\) | −12.1875 | − | 9.71924i | −0.0501545 | − | 0.0399969i | ||||
\(244\) | −78.8661 | + | 131.222i | −0.323222 | + | 0.537795i | ||||
\(245\) | −0.794654 | + | 0.996464i | −0.00324348 | + | 0.00406720i | ||||
\(246\) | −146.817 | + | 43.8788i | −0.596818 | + | 0.178369i | ||||
\(247\) | 514.554 | + | 117.444i | 2.08322 | + | 0.475480i | ||||
\(248\) | 27.5616 | − | 32.7524i | 0.111135 | − | 0.132066i | ||||
\(249\) | 166.931 | 0.670405 | ||||||||
\(250\) | 14.1763 | − | 88.7572i | 0.0567051 | − | 0.355029i | ||||
\(251\) | 180.860 | + | 375.559i | 0.720557 | + | 1.49625i | 0.862327 | + | 0.506352i | \(0.169006\pi\) |
−0.141770 | + | 0.989900i | \(0.545279\pi\) | |||||||
\(252\) | 11.0368 | + | 83.1039i | 0.0437968 | + | 0.329777i | ||||
\(253\) | −298.119 | − | 373.829i | −1.17834 | − | 1.47759i | ||||
\(254\) | 4.60787 | + | 69.6965i | 0.0181412 | + | 0.274396i | ||||
\(255\) | 293.258 | + | 66.9342i | 1.15003 | + | 0.262487i | ||||
\(256\) | 238.726 | + | 92.4445i | 0.932523 | + | 0.361111i | ||||
\(257\) | 178.886 | − | 86.1469i | 0.696054 | − | 0.335202i | −0.0521791 | − | 0.998638i | \(-0.516617\pi\) |
0.748233 | + | 0.663436i | \(0.230902\pi\) | |||||||
\(258\) | −84.4088 | + | 5.58056i | −0.327166 | + | 0.0216301i | ||||
\(259\) | −188.503 | + | 43.0245i | −0.727810 | + | 0.166118i | ||||
\(260\) | −206.608 | + | 343.767i | −0.794646 | + | 1.32218i | ||||
\(261\) | −76.6776 | + | 41.1041i | −0.293784 | + | 0.157487i | ||||
\(262\) | 150.262 | + | 265.622i | 0.573520 | + | 1.01382i | ||||
\(263\) | −348.616 | + | 79.5694i | −1.32554 | + | 0.302545i | −0.825962 | − | 0.563726i | \(-0.809367\pi\) |
−0.499575 | + | 0.866271i | \(0.666510\pi\) | |||||||
\(264\) | −110.713 | + | 215.203i | −0.419367 | + | 0.815163i | ||||
\(265\) | −349.736 | + | 168.424i | −1.31976 | + | 0.635562i | ||||
\(266\) | 325.512 | + | 357.057i | 1.22373 | + | 1.34232i | ||||
\(267\) | 253.346 | + | 57.8245i | 0.948860 | + | 0.216571i | ||||
\(268\) | 2.81957 | + | 4.29576i | 0.0105208 | + | 0.0160290i | ||||
\(269\) | −55.3959 | − | 69.4642i | −0.205933 | − | 0.258231i | 0.668130 | − | 0.744045i | \(-0.267095\pi\) |
−0.874063 | + | 0.485813i | \(0.838524\pi\) | |||||||
\(270\) | 25.5001 | − | 63.3320i | 0.0944448 | − | 0.234563i | ||||
\(271\) | 58.6466 | + | 121.781i | 0.216408 | + | 0.449376i | 0.980706 | − | 0.195487i | \(-0.0626288\pi\) |
−0.764298 | + | 0.644863i | \(0.776914\pi\) | |||||||
\(272\) | 415.764 | + | 77.6897i | 1.52854 | + | 0.285624i | ||||
\(273\) | −184.683 | −0.676496 | ||||||||
\(274\) | 38.6963 | − | 242.276i | 0.141227 | − | 0.884218i | ||||
\(275\) | −309.211 | − | 70.5754i | −1.12440 | − | 0.256638i | ||||
\(276\) | 136.749 | + | 131.429i | 0.495469 | + | 0.476193i | ||||
\(277\) | 86.0426 | − | 107.894i | 0.310623 | − | 0.389509i | −0.601875 | − | 0.798590i | \(-0.705579\pi\) |
0.912498 | + | 0.409081i | \(0.134151\pi\) | |||||||
\(278\) | 147.700 | + | 261.094i | 0.531296 | + | 0.939186i | ||||
\(279\) | −12.5502 | − | 10.0084i | −0.0449827 | − | 0.0358725i | ||||
\(280\) | −334.888 | + | 150.537i | −1.19603 | + | 0.537634i | ||||
\(281\) | −216.824 | − | 271.888i | −0.771615 | − | 0.967574i | 0.228367 | − | 0.973575i | \(-0.426661\pi\) |
−0.999982 | + | 0.00600067i | \(0.998090\pi\) | |||||||
\(282\) | −163.563 | − | 65.8571i | −0.580009 | − | 0.233536i | ||||
\(283\) | 2.75623 | − | 5.72338i | 0.00973934 | − | 0.0202239i | −0.896042 | − | 0.443968i | \(-0.853570\pi\) |
0.905782 | + | 0.423744i | \(0.139285\pi\) | |||||||
\(284\) | −107.423 | + | 111.772i | −0.378252 | + | 0.393562i | ||||
\(285\) | −87.5581 | − | 383.617i | −0.307221 | − | 1.34602i | ||||
\(286\) | −437.852 | − | 304.189i | −1.53095 | − | 1.06360i | ||||
\(287\) | 134.083 | − | 278.427i | 0.467189 | − | 0.970127i | ||||
\(288\) | 32.2962 | − | 90.4044i | 0.112140 | − | 0.313904i | ||||
\(289\) | 409.810 | 1.41803 | ||||||||
\(290\) | −268.650 | − | 270.213i | −0.926378 | − | 0.931768i | ||||
\(291\) | 141.551i | 0.486428i | ||||||||
\(292\) | 333.752 | + | 109.405i | 1.14299 | + | 0.374674i | ||||
\(293\) | −24.8251 | − | 11.9551i | −0.0847272 | − | 0.0408025i | 0.391040 | − | 0.920374i | \(-0.372115\pi\) |
−0.475767 | + | 0.879571i | \(0.657830\pi\) | |||||||
\(294\) | 0.551929 | + | 0.383442i | 0.00187731 | + | 0.00130422i | ||||
\(295\) | −188.566 | + | 43.0390i | −0.639207 | + | 0.145895i | ||||
\(296\) | 214.487 | + | 54.9381i | 0.724617 | + | 0.185602i | ||||
\(297\) | 81.7669 | + | 39.3769i | 0.275309 | + | 0.132582i | ||||
\(298\) | −421.441 | − | 169.690i | −1.41423 | − | 0.569428i | ||||
\(299\) | −326.676 | + | 260.516i | −1.09256 | + | 0.871290i | ||||
\(300\) | 125.274 | + | 11.6040i | 0.417581 | + | 0.0386799i | ||||
\(301\) | 106.368 | − | 133.381i | 0.353382 | − | 0.443126i | ||||
\(302\) | −130.417 | − | 230.541i | −0.431843 | − | 0.763380i | ||||
\(303\) | −157.432 | − | 125.548i | −0.519579 | − | 0.414350i | ||||
\(304\) | −144.413 | − | 534.105i | −0.475043 | − | 1.75692i | ||||
\(305\) | −55.9523 | + | 245.143i | −0.183450 | + | 0.803747i | ||||
\(306\) | 25.0161 | − | 156.625i | 0.0817520 | − | 0.511846i | ||||
\(307\) | − | 30.5886i | − | 0.0996372i | −0.998758 | − | 0.0498186i | \(-0.984136\pi\) | ||
0.998758 | − | 0.0498186i | \(-0.0158643\pi\) | |||||||
\(308\) | −170.305 | − | 457.394i | −0.552937 | − | 1.48504i | ||||
\(309\) | −177.166 | + | 85.3188i | −0.573354 | + | 0.276113i | ||||
\(310\) | 26.2588 | − | 65.2164i | 0.0847059 | − | 0.210375i | ||||
\(311\) | 51.6783 | − | 41.2121i | 0.166168 | − | 0.132515i | −0.536875 | − | 0.843662i | \(-0.680395\pi\) |
0.703043 | + | 0.711147i | \(0.251824\pi\) | |||||||
\(312\) | 188.059 | + | 96.7481i | 0.602752 | + | 0.310090i | ||||
\(313\) | 46.2535 | − | 202.650i | 0.147775 | − | 0.647443i | −0.845726 | − | 0.533617i | \(-0.820832\pi\) |
0.993501 | − | 0.113826i | \(-0.0363106\pi\) | |||||||
\(314\) | −133.691 | − | 146.647i | −0.425768 | − | 0.467029i | ||||
\(315\) | 59.7404 | + | 124.052i | 0.189652 | + | 0.393816i | ||||
\(316\) | −64.5380 | − | 98.3271i | −0.204234 | − | 0.311162i | ||||
\(317\) | 17.7019 | + | 77.5570i | 0.0558419 | + | 0.244659i | 0.995144 | − | 0.0984327i | \(-0.0313829\pi\) |
−0.939302 | + | 0.343092i | \(0.888526\pi\) | |||||||
\(318\) | 100.781 | + | 178.154i | 0.316923 | + | 0.560232i | ||||
\(319\) | 381.967 | − | 332.639i | 1.19739 | − | 1.04276i | ||||
\(320\) | 419.869 | + | 22.1454i | 1.31209 | + | 0.0692045i | ||||
\(321\) | −30.2928 | − | 132.721i | −0.0943701 | − | 0.413462i | ||||
\(322\) | −381.675 | + | 25.2338i | −1.18533 | + | 0.0783659i | ||||
\(323\) | −396.626 | − | 823.602i | −1.22794 | − | 2.54985i | ||||
\(324\) | −34.2089 | − | 11.2138i | −0.105583 | − | 0.0346104i | ||||
\(325\) | −61.6734 | + | 270.209i | −0.189764 | + | 0.831412i | ||||
\(326\) | −21.2466 | − | 321.366i | −0.0651736 | − | 0.985784i | ||||
\(327\) | 124.712 | − | 99.4543i | 0.381381 | − | 0.304142i | ||||
\(328\) | −282.390 | + | 213.274i | −0.860945 | + | 0.650227i | ||||
\(329\) | 320.380 | − | 154.287i | 0.973799 | − | 0.468957i | ||||
\(330\) | −62.6906 | + | 392.503i | −0.189971 | + | 1.18940i | ||||
\(331\) | 199.906i | 0.603946i | 0.953317 | + | 0.301973i | \(0.0976452\pi\) | ||||
−0.953317 | + | 0.301973i | \(0.902355\pi\) | |||||||
\(332\) | 361.280 | − | 134.518i | 1.08819 | − | 0.405175i | ||||
\(333\) | 18.4757 | − | 80.9473i | 0.0554826 | − | 0.243085i | ||||
\(334\) | 283.395 | − | 84.6973i | 0.848487 | − | 0.253585i | ||||
\(335\) | 6.59813 | + | 5.26183i | 0.0196959 | + | 0.0157070i | ||||
\(336\) | 90.8540 | + | 170.964i | 0.270399 | + | 0.508820i | ||||
\(337\) | 39.4074 | − | 49.4153i | 0.116936 | − | 0.146633i | −0.719918 | − | 0.694059i | \(-0.755821\pi\) |
0.836854 | + | 0.547426i | \(0.184392\pi\) | |||||||
\(338\) | −72.9729 | + | 105.038i | −0.215896 | + | 0.310762i | ||||
\(339\) | 46.7556 | − | 37.2863i | 0.137922 | − | 0.109989i | ||||
\(340\) | 688.620 | − | 91.4538i | 2.02535 | − | 0.268982i | ||||
\(341\) | 84.1998 | + | 40.5485i | 0.246920 | + | 0.118911i | ||||
\(342\) | −198.793 | + | 59.4127i | −0.581266 | + | 0.173721i | ||||
\(343\) | −335.059 | + | 76.4750i | −0.976848 | + | 0.222959i | ||||
\(344\) | −178.185 | + | 80.0969i | −0.517979 | + | 0.232840i | ||||
\(345\) | 280.660 | + | 135.159i | 0.813509 | + | 0.391765i | ||||
\(346\) | −453.236 | − | 497.159i | −1.30993 | − | 1.43687i | ||||
\(347\) | 426.885i | 1.23022i | 0.788443 | + | 0.615108i | \(0.210887\pi\) | ||||
−0.788443 | + | 0.615108i | \(0.789113\pi\) | |||||||
\(348\) | −132.826 | + | 150.749i | −0.381685 | + | 0.433186i | ||||
\(349\) | 388.762 | 1.11393 | 0.556965 | − | 0.830536i | \(-0.311966\pi\) | ||||
0.556965 | + | 0.830536i | \(0.311966\pi\) | |||||||
\(350\) | −187.502 | + | 170.937i | −0.535720 | + | 0.488391i | ||||
\(351\) | 34.4101 | − | 71.4533i | 0.0980344 | − | 0.203571i | ||||
\(352\) | −66.1928 | + | 554.969i | −0.188048 | + | 1.57662i | ||||
\(353\) | −92.9995 | − | 407.457i | −0.263455 | − | 1.15427i | −0.917475 | − | 0.397793i | \(-0.869776\pi\) |
0.654020 | − | 0.756477i | \(-0.273081\pi\) | |||||||
\(354\) | 29.2042 | + | 97.7163i | 0.0824976 | + | 0.276035i | ||||
\(355\) | −110.472 | + | 229.397i | −0.311188 | + | 0.646189i | ||||
\(356\) | 594.899 | − | 79.0070i | 1.67107 | − | 0.221930i | ||||
\(357\) | 199.437 | + | 250.086i | 0.558648 | + | 0.700522i | ||||
\(358\) | −259.020 | − | 179.949i | −0.723519 | − | 0.502651i | ||||
\(359\) | 267.370 | + | 213.221i | 0.744764 | + | 0.593929i | 0.920608 | − | 0.390489i | \(-0.127694\pi\) |
−0.175844 | + | 0.984418i | \(0.556265\pi\) | |||||||
\(360\) | 4.15371 | − | 157.615i | 0.0115381 | − | 0.437819i | ||||
\(361\) | −520.485 | + | 652.668i | −1.44179 | + | 1.80794i | ||||
\(362\) | −123.293 | − | 412.535i | −0.340588 | − | 1.13960i | ||||
\(363\) | −310.792 | − | 70.9363i | −0.856177 | − | 0.195417i | ||||
\(364\) | −399.701 | + | 148.823i | −1.09808 | + | 0.408856i | ||||
\(365\) | 576.851 | 1.58041 | ||||||||
\(366\) | 130.927 | + | 20.9117i | 0.357725 | + | 0.0571358i | ||||
\(367\) | −237.051 | − | 492.242i | −0.645916 | − | 1.34126i | −0.924623 | − | 0.380882i | \(-0.875620\pi\) |
0.278707 | − | 0.960376i | \(-0.410094\pi\) | |||||||
\(368\) | 401.869 | + | 174.249i | 1.09204 | + | 0.473503i | ||||
\(369\) | 82.7399 | + | 103.753i | 0.224227 | + | 0.281172i | ||||
\(370\) | 362.851 | − | 23.9893i | 0.980679 | − | 0.0648360i | ||||
\(371\) | −402.441 | − | 91.8546i | −1.08475 | − | 0.247587i | ||||
\(372\) | −35.2268 | − | 11.5474i | −0.0946957 | − | 0.0310415i | ||||
\(373\) | −88.8575 | + | 42.7915i | −0.238224 | + | 0.114723i | −0.549187 | − | 0.835699i | \(-0.685063\pi\) |
0.310963 | + | 0.950422i | \(0.399348\pi\) | |||||||
\(374\) | 60.9169 | + | 921.401i | 0.162880 | + | 2.46364i | ||||
\(375\) | −75.8886 | + | 17.3211i | −0.202370 | + | 0.0461895i | ||||
\(376\) | −407.060 | − | 10.7275i | −1.08261 | − | 0.0285305i | ||||
\(377\) | −290.682 | − | 333.788i | −0.771040 | − | 0.885378i | ||||
\(378\) | 63.1915 | − | 35.7474i | 0.167173 | − | 0.0945698i | ||||
\(379\) | −204.930 | + | 46.7739i | −0.540712 | + | 0.123414i | −0.484150 | − | 0.874985i | \(-0.660871\pi\) |
−0.0565622 | + | 0.998399i | \(0.518014\pi\) | |||||||
\(380\) | −498.628 | − | 759.686i | −1.31218 | − | 1.99917i | ||||
\(381\) | 54.5002 | − | 26.2459i | 0.143045 | − | 0.0688870i | ||||
\(382\) | 14.0425 | − | 12.8019i | 0.0367605 | − | 0.0335128i | ||||
\(383\) | 222.495 | + | 50.7830i | 0.580926 | + | 0.132593i | 0.502879 | − | 0.864357i | \(-0.332274\pi\) |
0.0780475 | + | 0.996950i | \(0.475131\pi\) | |||||||
\(384\) | −2.95353 | − | 221.683i | −0.00769149 | − | 0.577299i | ||||
\(385\) | −499.791 | − | 626.718i | −1.29816 | − | 1.62784i | ||||
\(386\) | 522.607 | + | 210.423i | 1.35390 | + | 0.545139i | ||||
\(387\) | 31.7862 | + | 66.0048i | 0.0821350 | + | 0.170555i | ||||
\(388\) | 114.066 | + | 306.351i | 0.293984 | + | 0.789563i | ||||
\(389\) | 368.722 | 0.947870 | 0.473935 | − | 0.880560i | \(-0.342833\pi\) | ||||
0.473935 | + | 0.880560i | \(0.342833\pi\) | |||||||
\(390\) | 342.995 | + | 54.7831i | 0.879474 | + | 0.140470i | ||||
\(391\) | 705.548 | + | 161.037i | 1.80447 | + | 0.411858i | ||||
\(392\) | 1.50350 | + | 0.385103i | 0.00383546 | + | 0.000982405i | ||||
\(393\) | 164.783 | − | 206.632i | 0.419296 | − | 0.525781i | ||||
\(394\) | 515.800 | − | 291.787i | 1.30914 | − | 0.740577i | ||||
\(395\) | −151.027 | − | 120.440i | −0.382346 | − | 0.304911i | ||||
\(396\) | 208.695 | + | 19.3311i | 0.527008 | + | 0.0488158i | ||||
\(397\) | −162.950 | − | 204.333i | −0.410454 | − | 0.514693i | 0.533037 | − | 0.846092i | \(-0.321051\pi\) |
−0.943491 | + | 0.331399i | \(0.892479\pi\) | |||||||
\(398\) | 222.510 | − | 552.626i | 0.559071 | − | 1.38851i | ||||
\(399\) | 181.551 | − | 376.995i | 0.455015 | − | 0.944849i | ||||
\(400\) | 280.476 | − | 75.8360i | 0.701189 | − | 0.189590i | ||||
\(401\) | 172.120 | + | 754.106i | 0.429226 | + | 1.88056i | 0.472207 | + | 0.881488i | \(0.343457\pi\) |
−0.0429809 | + | 0.999076i | \(0.513685\pi\) | |||||||
\(402\) | 2.53898 | − | 3.65462i | 0.00631586 | − | 0.00909109i | ||||
\(403\) | 35.4339 | − | 73.5793i | 0.0879254 | − | 0.182579i | ||||
\(404\) | −441.893 | − | 144.854i | −1.09380 | − | 0.358548i | ||||
\(405\) | −59.1261 | −0.145990 | ||||||||
\(406\) | −44.1993 | − | 402.778i | −0.108865 | − | 0.992063i | ||||
\(407\) | 483.387i | 1.18768i | ||||||||
\(408\) | −72.0720 | − | 359.134i | −0.176647 | − | 0.880230i | ||||
\(409\) | 13.8793 | + | 6.68393i | 0.0339348 | + | 0.0163421i | 0.450774 | − | 0.892638i | \(-0.351148\pi\) |
−0.416839 | + | 0.908980i | \(0.636862\pi\) | |||||||
\(410\) | −331.610 | + | 477.322i | −0.808806 | + | 1.16420i | ||||
\(411\) | −207.149 | + | 47.2805i | −0.504013 | + | 0.115038i | ||||
\(412\) | −314.680 | + | 327.417i | −0.763785 | + | 0.794702i | ||||
\(413\) | −185.311 | − | 89.2410i | −0.448695 | − | 0.216080i | ||||
\(414\) | 61.3506 | − | 152.370i | 0.148190 | − | 0.368044i | ||||
\(415\) | 495.024 | − | 394.768i | 1.19283 | − | 0.951248i | ||||
\(416\) | 484.968 | + | 57.8436i | 1.16579 | + | 0.139047i | ||||
\(417\) | 161.974 | − | 203.109i | 0.388427 | − | 0.487072i | ||||
\(418\) | 1051.37 | − | 594.758i | 2.51523 | − | 1.42287i | ||||
\(419\) | −186.310 | − | 148.577i | −0.444654 | − | 0.354600i | 0.375422 | − | 0.926854i | \(-0.377498\pi\) |
−0.820076 | + | 0.572254i | \(0.806069\pi\) | |||||||
\(420\) | 229.258 | + | 220.339i | 0.545852 | + | 0.524617i | ||||
\(421\) | −97.9733 | + | 429.249i | −0.232716 | + | 1.01959i | 0.714660 | + | 0.699472i | \(0.246581\pi\) |
−0.947376 | + | 0.320123i | \(0.896276\pi\) | |||||||
\(422\) | 72.6450 | + | 11.6028i | 0.172144 | + | 0.0274949i | ||||
\(423\) | 152.700i | 0.360994i | ||||||||
\(424\) | 361.678 | + | 304.356i | 0.853013 | + | 0.717821i | ||||
\(425\) | 432.500 | − | 208.281i | 1.01765 | − | 0.490073i | ||||
\(426\) | 124.539 | + | 50.1447i | 0.292346 | + | 0.117711i | ||||
\(427\) | −209.055 | + | 166.716i | −0.489589 | + | 0.390435i | ||||
\(428\) | −172.512 | − | 262.831i | −0.403066 | − | 0.614092i | ||||
\(429\) | −102.742 | + | 450.142i | −0.239492 | + | 1.04928i | ||||
\(430\) | −237.112 | + | 216.164i | −0.551424 | + | 0.502707i | ||||
\(431\) | 142.633 | + | 296.180i | 0.330934 | + | 0.687191i | 0.998346 | − | 0.0574975i | \(-0.0183121\pi\) |
−0.667412 | + | 0.744689i | \(0.732598\pi\) | |||||||
\(432\) | −83.0730 | + | 3.29723i | −0.192299 | + | 0.00763247i | ||||
\(433\) | −19.8962 | − | 87.1710i | −0.0459497 | − | 0.201319i | 0.946743 | − | 0.321991i | \(-0.104352\pi\) |
−0.992692 | + | 0.120672i | \(0.961495\pi\) | |||||||
\(434\) | 65.0718 | − | 36.8110i | 0.149935 | − | 0.0848181i | ||||
\(435\) | −130.177 | + | 303.224i | −0.299259 | + | 0.697066i | ||||
\(436\) | 189.764 | − | 315.740i | 0.435238 | − | 0.724175i | ||||
\(437\) | −210.656 | − | 922.943i | −0.482050 | − | 2.11200i | ||||
\(438\) | −20.0660 | − | 303.508i | −0.0458127 | − | 0.692942i | ||||
\(439\) | −119.029 | − | 247.166i | −0.271136 | − | 0.563020i | 0.720292 | − | 0.693671i | \(-0.244008\pi\) |
−0.991428 | + | 0.130651i | \(0.958293\pi\) | |||||||
\(440\) | 180.613 | + | 899.992i | 0.410484 | + | 2.04544i | ||||
\(441\) | 0.129510 | − | 0.567421i | 0.000293674 | − | 0.00128667i | ||||
\(442\) | 805.180 | − | 53.2332i | 1.82167 | − | 0.120437i | ||||
\(443\) | 23.9126 | − | 19.0697i | 0.0539788 | − | 0.0430466i | −0.596129 | − | 0.802889i | \(-0.703295\pi\) |
0.650108 | + | 0.759842i | \(0.274724\pi\) | |||||||
\(444\) | −25.2438 | − | 190.078i | −0.0568554 | − | 0.428105i | ||||
\(445\) | 888.028 | − | 427.652i | 1.99557 | − | 0.961015i | ||||
\(446\) | −596.761 | − | 95.3146i | −1.33803 | − | 0.213710i | ||||
\(447\) | 393.453i | 0.880208i | ||||||||
\(448\) | 334.398 | + | 296.795i | 0.746425 | + | 0.662488i | ||||
\(449\) | 1.56339 | − | 6.84964i | 0.00348193 | − | 0.0152553i | −0.973157 | − | 0.230142i | \(-0.926081\pi\) |
0.976639 | + | 0.214886i | \(0.0689381\pi\) | |||||||
\(450\) | −31.1995 | − | 104.393i | −0.0693322 | − | 0.231984i | ||||
\(451\) | −604.037 | − | 481.703i | −1.33933 | − | 1.06808i | ||||
\(452\) | 71.1442 | − | 118.374i | 0.157399 | − | 0.261889i | ||||
\(453\) | −143.020 | + | 179.342i | −0.315718 | + | 0.395897i | ||||
\(454\) | −298.888 | − | 207.647i | −0.658344 | − | 0.457372i | ||||
\(455\) | −547.667 | + | 436.750i | −1.20366 | + | 0.959891i | ||||
\(456\) | −382.361 | + | 288.777i | −0.838511 | + | 0.633284i | ||||
\(457\) | 93.5490 | + | 45.0508i | 0.204702 | + | 0.0985795i | 0.533426 | − | 0.845847i | \(-0.320904\pi\) |
−0.328724 | + | 0.944426i | \(0.606619\pi\) | |||||||
\(458\) | −30.1541 | − | 100.895i | −0.0658387 | − | 0.220295i | ||||
\(459\) | −133.916 | + | 30.5656i | −0.291757 | + | 0.0665916i | ||||
\(460\) | 716.334 | + | 66.3528i | 1.55725 | + | 0.144245i | ||||
\(461\) | −163.606 | − | 78.7885i | −0.354894 | − | 0.170908i | 0.247938 | − | 0.968776i | \(-0.420247\pi\) |
−0.602832 | + | 0.797868i | \(0.705961\pi\) | |||||||
\(462\) | −312.360 | + | 284.764i | −0.676105 | + | 0.616372i | ||||
\(463\) | 328.136i | 0.708716i | 0.935110 | + | 0.354358i | \(0.115301\pi\) | ||||
−0.935110 | + | 0.354358i | \(0.884699\pi\) | |||||||
\(464\) | −165.992 | + | 433.293i | −0.357741 | + | 0.933821i | ||||
\(465\) | −60.8854 | −0.130936 | ||||||||
\(466\) | 225.891 | + | 247.782i | 0.484745 | + | 0.531721i | ||||
\(467\) | −123.459 | + | 256.365i | −0.264366 | + | 0.548962i | −0.990324 | − | 0.138778i | \(-0.955683\pi\) |
0.725957 | + | 0.687740i | \(0.241397\pi\) | |||||||
\(468\) | 16.8928 | − | 182.371i | 0.0360956 | − | 0.389682i | ||||
\(469\) | 1.99700 | + | 8.74943i | 0.00425800 | + | 0.0186555i | ||||
\(470\) | −640.778 | + | 191.507i | −1.36336 | + | 0.407462i | ||||
\(471\) | −74.5650 | + | 154.836i | −0.158312 | + | 0.328738i | ||||
\(472\) | 141.948 | + | 187.949i | 0.300737 | + | 0.398197i | ||||
\(473\) | −265.925 | − | 333.460i | −0.562210 | − | 0.704989i | ||||
\(474\) | −58.1155 | + | 83.6518i | −0.122607 | + | 0.176481i | ||||
\(475\) | −490.951 | − | 391.520i | −1.03358 | − | 0.824253i | ||||
\(476\) | 633.159 | + | 380.536i | 1.33017 | + | 0.799446i | ||||
\(477\) | 110.521 | − | 138.589i | 0.231700 | − | 0.290543i | ||||
\(478\) | −232.067 | + | 69.3570i | −0.485495 | + | 0.145098i | ||||
\(479\) | 335.936 | + | 76.6751i | 0.701327 | + | 0.160073i | 0.558292 | − | 0.829644i | \(-0.311457\pi\) |
0.143035 | + | 0.989718i | \(0.454314\pi\) | |||||||
\(480\) | −118.021 | − | 344.465i | −0.245877 | − | 0.717635i | ||||
\(481\) | 422.415 | 0.878202 | ||||||||
\(482\) | 84.5161 | − | 529.152i | 0.175345 | − | 1.09783i | ||||
\(483\) | 143.729 | + | 298.457i | 0.297576 | + | 0.617922i | ||||
\(484\) | −729.794 | + | 96.9221i | −1.50784 | + | 0.200252i | ||||
\(485\) | 334.747 | + | 419.760i | 0.690201 | + | 0.865484i | ||||
\(486\) | 2.05672 | + | 31.1090i | 0.00423194 | + | 0.0640103i | ||||
\(487\) | −495.085 | − | 113.000i | −1.01660 | − | 0.232033i | −0.318417 | − | 0.947951i | \(-0.603151\pi\) |
−0.698184 | + | 0.715918i | \(0.746008\pi\) | |||||||
\(488\) | 300.211 | − | 60.2472i | 0.615186 | − | 0.123457i | ||||
\(489\) | −251.297 | + | 121.018i | −0.513899 | + | 0.247481i | ||||
\(490\) | 2.54350 | − | 0.168159i | 0.00519081 | − | 0.000343182i | ||||
\(491\) | 187.219 | − | 42.7316i | 0.381302 | − | 0.0870298i | −0.0275735 | − | 0.999620i | \(-0.508778\pi\) |
0.408876 | + | 0.912590i | \(0.365921\pi\) | |||||||
\(492\) | 262.677 | + | 157.872i | 0.533895 | + | 0.320878i | ||||
\(493\) | −138.090 | + | 754.076i | −0.280101 | + | 1.52957i | ||||
\(494\) | −519.738 | − | 918.754i | −1.05210 | − | 1.85983i | ||||
\(495\) | 335.596 | − | 76.5975i | 0.677971 | − | 0.154742i | ||||
\(496\) | −85.5448 | + | 3.39534i | −0.172469 | + | 0.00684543i | ||||
\(497\) | −243.943 | + | 117.477i | −0.490830 | + | 0.236371i | ||||
\(498\) | −224.925 | − | 246.723i | −0.451658 | − | 0.495427i | ||||
\(499\) | −241.614 | − | 55.1469i | −0.484197 | − | 0.110515i | −0.0265476 | − | 0.999648i | \(-0.508451\pi\) |
−0.457649 | + | 0.889133i | \(0.651308\pi\) | |||||||
\(500\) | −150.284 | + | 98.6405i | −0.300568 | + | 0.197281i | ||||
\(501\) | −159.709 | − | 200.269i | −0.318781 | − | 0.399738i | ||||
\(502\) | 311.381 | − | 773.345i | 0.620281 | − | 1.54053i | ||||
\(503\) | −114.281 | − | 237.308i | −0.227200 | − | 0.471785i | 0.755940 | − | 0.654641i | \(-0.227180\pi\) |
−0.983140 | + | 0.182856i | \(0.941466\pi\) | |||||||
\(504\) | 107.956 | − | 128.288i | 0.214198 | − | 0.254539i | ||||
\(505\) | −763.760 | −1.51240 | ||||||||
\(506\) | −150.827 | + | 944.322i | −0.298077 | + | 1.86625i | ||||
\(507\) | 107.986 | + | 24.6471i | 0.212990 | + | 0.0486136i | ||||
\(508\) | 96.8023 | − | 100.721i | 0.190556 | − | 0.198269i | ||||
\(509\) | −416.581 | + | 522.376i | −0.818430 | + | 1.02628i | 0.180657 | + | 0.983546i | \(0.442178\pi\) |
−0.999087 | + | 0.0427324i | \(0.986394\pi\) | |||||||
\(510\) | −296.212 | − | 523.622i | −0.580808 | − | 1.02671i | ||||
\(511\) | 479.598 | + | 382.466i | 0.938547 | + | 0.748466i | ||||
\(512\) | −185.031 | − | 477.397i | −0.361389 | − | 0.932415i | ||||
\(513\) | 112.031 | + | 140.483i | 0.218385 | + | 0.273846i | ||||
\(514\) | −368.359 | − | 148.317i | −0.716651 | − | 0.288554i | ||||
\(515\) | −323.609 | + | 671.982i | −0.628368 | + | 1.30482i | ||||
\(516\) | 121.982 | + | 117.236i | 0.236399 | + | 0.227202i | ||||
\(517\) | −197.822 | − | 866.717i | −0.382635 | − | 1.67644i | ||||
\(518\) | 317.582 | + | 220.634i | 0.613093 | + | 0.425935i | ||||
\(519\) | −252.788 | + | 524.919i | −0.487067 | + | 1.01141i | ||||
\(520\) | 786.472 | − | 157.831i | 1.51245 | − | 0.303522i | ||||
\(521\) | −225.682 | −0.433171 | −0.216586 | − | 0.976264i | \(-0.569492\pi\) | ||||
−0.216586 | + | 0.976264i | \(0.569492\pi\) | |||||||
\(522\) | 164.068 | + | 57.9447i | 0.314307 | + | 0.111005i | ||||
\(523\) | − | 26.6538i | − | 0.0509633i | −0.999675 | − | 0.0254817i | \(-0.991888\pi\) | ||
0.999675 | − | 0.0254817i | \(-0.00811194\pi\) | |||||||
\(524\) | 190.122 | − | 579.990i | 0.362828 | − | 1.10685i | ||||
\(525\) | 197.972 | + | 95.3383i | 0.377090 | + | 0.181597i | ||||
\(526\) | 587.334 | + | 408.039i | 1.11661 | + | 0.775740i | ||||
\(527\) | −137.901 | + | 31.4750i | −0.261672 | + | 0.0597249i | ||||
\(528\) | 467.245 | − | 126.335i | 0.884934 | − | 0.239272i | ||||
\(529\) | 198.627 | + | 95.6538i | 0.375477 | + | 0.180820i | ||||
\(530\) | 720.170 | + | 289.970i | 1.35881 | + | 0.547114i | ||||
\(531\) | 69.0540 | − | 55.0687i | 0.130045 | − | 0.103708i | ||||
\(532\) | 89.1279 | − | 962.209i | 0.167534 | − | 1.80866i | ||||
\(533\) | −420.944 | + | 527.847i | −0.789763 | + | 0.990332i | ||||
\(534\) | −255.898 | − | 452.357i | −0.479210 | − | 0.847110i | ||||
\(535\) | −403.699 | − | 321.939i | −0.754578 | − | 0.601756i | ||||
\(536\) | 2.54997 | − | 9.95548i | 0.00475742 | − | 0.0185737i | ||||
\(537\) | −60.7791 | + | 266.290i | −0.113183 | + | 0.495885i | ||||
\(538\) | −28.0264 | + | 175.472i | −0.0520936 | + | 0.326156i | ||||
\(539\) | 3.38842i | 0.00628650i | ||||||||
\(540\) | −127.964 | + | 47.6456i | −0.236970 | + | 0.0882326i | ||||
\(541\) | −892.030 | + | 429.579i | −1.64885 | + | 0.794046i | −0.649419 | + | 0.760431i | \(0.724988\pi\) |
−0.999435 | + | 0.0336150i | \(0.989298\pi\) | |||||||
\(542\) | 100.970 | − | 250.769i | 0.186292 | − | 0.462673i | ||||
\(543\) | −291.529 | + | 232.487i | −0.536887 | + | 0.428153i | ||||
\(544\) | −445.383 | − | 719.177i | −0.818718 | − | 1.32202i | ||||
\(545\) | 134.630 | − | 589.851i | 0.247027 | − | 1.08230i | ||||
\(546\) | 248.846 | + | 272.961i | 0.455761 | + | 0.499928i | ||||
\(547\) | 267.498 | + | 555.465i | 0.489027 | + | 1.01548i | 0.988790 | + | 0.149313i | \(0.0477063\pi\) |
−0.499763 | + | 0.866162i | \(0.666579\pi\) | |||||||
\(548\) | −410.222 | + | 269.254i | −0.748581 | + | 0.491339i | ||||
\(549\) | −25.5507 | − | 111.945i | −0.0465404 | − | 0.203907i | ||||
\(550\) | 312.326 | + | 552.107i | 0.567866 | + | 1.00383i | ||||
\(551\) | 967.113 | − | 265.244i | 1.75520 | − | 0.481386i | ||||
\(552\) | 9.99339 | − | 379.205i | 0.0181040 | − | 0.686965i | ||||
\(553\) | −45.7100 | − | 200.269i | −0.0826583 | − | 0.362150i | ||||
\(554\) | −275.402 | + | 18.2078i | −0.497115 | + | 0.0328660i | ||||
\(555\) | −136.641 | − | 283.737i | −0.246199 | − | 0.511238i | ||||
\(556\) | 186.881 | − | 570.102i | 0.336117 | − | 1.02536i | ||||
\(557\) | 10.2025 | − | 44.7000i | 0.0183168 | − | 0.0802513i | −0.964943 | − | 0.262458i | \(-0.915467\pi\) |
0.983260 | + | 0.182207i | \(0.0583240\pi\) | |||||||
\(558\) | 2.11792 | + | 32.0346i | 0.00379555 | + | 0.0574097i | ||||
\(559\) | −291.399 | + | 232.383i | −0.521286 | + | 0.415712i | ||||
\(560\) | 673.727 | + | 292.125i | 1.20308 | + | 0.521653i | ||||
\(561\) | 720.503 | − | 346.976i | 1.28432 | − | 0.618496i | ||||
\(562\) | −109.697 | + | 686.811i | −0.195191 | + | 1.22208i | ||||
\(563\) | − | 992.268i | − | 1.76247i | −0.472683 | − | 0.881233i | \(-0.656714\pi\) | ||
0.472683 | − | 0.881233i | \(-0.343286\pi\) | |||||||
\(564\) | 123.051 | + | 330.482i | 0.218175 | + | 0.585960i | ||||
\(565\) | 50.4739 | − | 221.141i | 0.0893344 | − | 0.391400i | ||||
\(566\) | −12.1729 | + | 3.63808i | −0.0215069 | + | 0.00642770i | ||||
\(567\) | −49.1578 | − | 39.2020i | −0.0866980 | − | 0.0691394i | ||||
\(568\) | 309.942 | + | 8.16807i | 0.545673 | + | 0.0143804i | ||||
\(569\) | 490.838 | − | 615.491i | 0.862632 | − | 1.08171i | −0.133253 | − | 0.991082i | \(-0.542542\pi\) |
0.995885 | − | 0.0906247i | \(-0.0288864\pi\) | |||||||
\(570\) | −449.007 | + | 646.303i | −0.787731 | + | 1.13386i | ||||
\(571\) | −363.875 | + | 290.180i | −0.637258 | + | 0.508197i | −0.887992 | − | 0.459860i | \(-0.847900\pi\) |
0.250733 | + | 0.968056i | \(0.419328\pi\) | |||||||
\(572\) | 140.379 | + | 1057.01i | 0.245418 | + | 1.84792i | ||||
\(573\) | −14.8266 | − | 7.14013i | −0.0258754 | − | 0.0124610i | ||||
\(574\) | −592.179 | + | 176.983i | −1.03167 | + | 0.308332i | ||||
\(575\) | 484.667 | − | 110.622i | 0.842899 | − | 0.192386i | ||||
\(576\) | −177.134 | + | 74.0788i | −0.307524 | + | 0.128609i | ||||
\(577\) | −38.4748 | − | 18.5285i | −0.0666808 | − | 0.0321118i | 0.400246 | − | 0.916408i | \(-0.368925\pi\) |
−0.466927 | + | 0.884296i | \(0.654639\pi\) | |||||||
\(578\) | −552.186 | − | 605.697i | −0.955338 | − | 1.04792i | ||||
\(579\) | − | 487.901i | − | 0.842661i | ||||||
\(580\) | −37.3897 | + | 761.152i | −0.0644650 | + | 1.31233i | ||||
\(581\) | 673.306 | 1.15887 | ||||||||
\(582\) | 209.211 | − | 190.728i | 0.359469 | − | 0.327711i | ||||
\(583\) | −447.768 | + | 929.800i | −0.768041 | + | 1.59485i | ||||
\(584\) | −288.004 | − | 640.698i | −0.493158 | − | 1.09709i | ||||
\(585\) | −66.9359 | − | 293.265i | −0.114420 | − | 0.501309i | ||||
\(586\) | 15.7801 | + | 52.7998i | 0.0269285 | + | 0.0901021i | ||||
\(587\) | 326.508 | − | 678.001i | 0.556232 | − | 1.15503i | −0.413421 | − | 0.910540i | \(-0.635666\pi\) |
0.969653 | − | 0.244487i | \(-0.0786196\pi\) | |||||||
\(588\) | −0.176953 | − | 1.33240i | −0.000300940 | − | 0.00226599i | ||||
\(589\) | 115.365 | + | 144.663i | 0.195865 | + | 0.245607i | ||||
\(590\) | 317.689 | + | 220.708i | 0.538455 | + | 0.374082i | ||||
\(591\) | −401.249 | − | 319.986i | −0.678933 | − | 0.541431i | ||||
\(592\) | −207.805 | − | 391.035i | −0.351022 | − | 0.660532i | ||||
\(593\) | 531.509 | − | 666.492i | 0.896306 | − | 1.12393i | −0.0954043 | − | 0.995439i | \(-0.530414\pi\) |
0.991710 | − | 0.128494i | \(-0.0410142\pi\) | |||||||
\(594\) | −51.9754 | − | 173.908i | −0.0875006 | − | 0.292775i | ||||
\(595\) | 1182.84 | + | 269.975i | 1.98796 | + | 0.453740i | ||||
\(596\) | 317.056 | + | 851.530i | 0.531974 | + | 1.42874i | ||||
\(597\) | −515.926 | −0.864198 | ||||||||
\(598\) | 825.210 | + | 131.802i | 1.37995 | + | 0.220405i | ||||
\(599\) | 55.3785 | + | 114.995i | 0.0924515 | + | 0.191978i | 0.942067 | − | 0.335426i | \(-0.108880\pi\) |
−0.849615 | + | 0.527403i | \(0.823166\pi\) | |||||||
\(600\) | −151.646 | − | 200.790i | −0.252744 | − | 0.334650i | ||||
\(601\) | −90.2709 | − | 113.196i | −0.150201 | − | 0.188346i | 0.701039 | − | 0.713123i | \(-0.252720\pi\) |
−0.851240 | + | 0.524777i | \(0.824149\pi\) | |||||||
\(602\) | −340.458 | + | 22.5089i | −0.565545 | + | 0.0373901i | ||||
\(603\) | −3.75720 | − | 0.857557i | −0.00623085 | − | 0.00142215i | ||||
\(604\) | −165.012 | + | 503.389i | −0.273199 | + | 0.833426i | ||||
\(605\) | −1089.39 | + | 524.623i | −1.80065 | + | 0.867145i | ||||
\(606\) | 26.5677 | + | 401.850i | 0.0438410 | + | 0.663119i | ||||
\(607\) | −18.4778 | + | 4.21743i | −0.0304412 | + | 0.00694800i | −0.237714 | − | 0.971335i | \(-0.576398\pi\) |
0.207273 | + | 0.978283i | \(0.433541\pi\) | |||||||
\(608\) | −594.819 | + | 933.104i | −0.978321 | + | 1.53471i | ||||
\(609\) | −309.275 | + | 165.791i | −0.507840 | + | 0.272235i | ||||
\(610\) | 437.711 | − | 247.613i | 0.717559 | − | 0.405922i | ||||
\(611\) | −757.394 | + | 172.870i | −1.23960 | + | 0.282930i | ||||
\(612\) | −265.198 | + | 174.065i | −0.433330 | + | 0.284421i | ||||
\(613\) | 655.954 | − | 315.891i | 1.07007 | − | 0.515320i | 0.185942 | − | 0.982561i | \(-0.440466\pi\) |
0.884130 | + | 0.467241i | \(0.154752\pi\) | |||||||
\(614\) | −45.2098 | + | 41.2156i | −0.0736316 | + | 0.0671265i | ||||
\(615\) | 490.720 | + | 112.004i | 0.797919 | + | 0.182120i | ||||
\(616\) | −446.554 | + | 868.010i | −0.724925 | + | 1.40911i | ||||
\(617\) | −534.905 | − | 670.750i | −0.866945 | − | 1.08711i | −0.995439 | − | 0.0954046i | \(-0.969586\pi\) |
0.128493 | − | 0.991710i | \(-0.458986\pi\) | |||||||
\(618\) | 364.818 | + | 146.891i | 0.590320 | + | 0.237687i | ||||
\(619\) | −71.7947 | − | 149.083i | −0.115985 | − | 0.240845i | 0.834892 | − | 0.550413i | \(-0.185530\pi\) |
−0.950877 | + | 0.309568i | \(0.899816\pi\) | |||||||
\(620\) | −131.771 | + | 49.0633i | −0.212534 | + | 0.0791343i | ||||
\(621\) | −142.251 | −0.229068 | ||||||||
\(622\) | −130.543 | − | 20.8504i | −0.209877 | − | 0.0335215i | ||||
\(623\) | 1021.85 | + | 233.232i | 1.64022 | + | 0.374369i | ||||
\(624\) | −110.400 | − | 408.310i | −0.176923 | − | 0.654342i | ||||
\(625\) | −467.133 | + | 585.766i | −0.747413 | + | 0.937226i | ||||
\(626\) | −361.838 | + | 204.691i | −0.578016 | + | 0.326983i | ||||
\(627\) | −817.877 | − | 652.235i | −1.30443 | − | 1.04025i | ||||
\(628\) | −36.6058 | + | 395.190i | −0.0582894 | + | 0.629283i | ||||
\(629\) | −456.161 | − | 572.007i | −0.725216 | − | 0.909392i | ||||
\(630\) | 102.853 | − | 255.446i | 0.163259 | − | 0.405470i | ||||
\(631\) | 47.5834 | − | 98.8080i | 0.0754095 | − | 0.156590i | −0.859856 | − | 0.510537i | \(-0.829447\pi\) |
0.935265 | + | 0.353948i | \(0.115161\pi\) | |||||||
\(632\) | −58.3672 | + | 227.874i | −0.0923532 | + | 0.360561i | ||||
\(633\) | −14.1768 | − | 62.1125i | −0.0223961 | − | 0.0981239i | ||||
\(634\) | 90.7769 | − | 130.665i | 0.143181 | − | 0.206096i | ||||
\(635\) | 99.5493 | − | 206.716i | 0.156770 | − | 0.325537i | ||||
\(636\) | 127.516 | − | 389.002i | 0.200496 | − | 0.611638i | ||||
\(637\) | 2.96103 | 0.00464839 | ||||||||
\(638\) | −1006.31 | − | 116.341i | −1.57728 | − | 0.182352i | ||||
\(639\) | − | 116.269i | − | 0.181954i | ||||||
\(640\) | −533.007 | − | 650.403i | −0.832824 | − | 1.01625i | ||||
\(641\) | −632.024 | − | 304.367i | −0.985997 | − | 0.474831i | −0.129834 | − | 0.991536i | \(-0.541444\pi\) |
−0.856164 | + | 0.516704i | \(0.827159\pi\) | |||||||
\(642\) | −155.344 | + | 223.604i | −0.241970 | + | 0.348292i | ||||
\(643\) | −813.670 | + | 185.715i | −1.26543 | + | 0.288826i | −0.802008 | − | 0.597313i | \(-0.796235\pi\) |
−0.463420 | + | 0.886139i | \(0.653378\pi\) | |||||||
\(644\) | 551.571 | + | 530.113i | 0.856476 | + | 0.823157i | ||||
\(645\) | 250.352 | + | 120.563i | 0.388143 | + | 0.186920i | ||||
\(646\) | −682.859 | + | 1695.95i | −1.05706 | + | 2.62530i | ||||
\(647\) | −162.094 | + | 129.266i | −0.250532 | + | 0.199793i | −0.740701 | − | 0.671835i | \(-0.765506\pi\) |
0.490169 | + | 0.871627i | \(0.336935\pi\) | |||||||
\(648\) | 29.5198 | + | 65.6702i | 0.0455553 | + | 0.101343i | ||||
\(649\) | −320.605 | + | 402.025i | −0.493998 | + | 0.619454i | ||||
\(650\) | 482.467 | − | 272.931i | 0.742257 | − | 0.419894i | ||||
\(651\) | −50.6204 | − | 40.3685i | −0.0777580 | − | 0.0620099i | ||||
\(652\) | −446.349 | + | 464.416i | −0.684584 | + | 0.712294i | ||||
\(653\) | −140.932 | + | 617.465i | −0.215823 | + | 0.945582i | 0.744704 | + | 0.667395i | \(0.232591\pi\) |
−0.960527 | + | 0.278187i | \(0.910266\pi\) | |||||||
\(654\) | −315.032 | − | 50.3168i | −0.481700 | − | 0.0769370i | ||||
\(655\) | − | 1002.44i | − | 1.53045i | ||||||
\(656\) | 695.715 | + | 130.001i | 1.06054 | + | 0.198173i | ||||
\(657\) | −237.333 | + | 114.294i | −0.361238 | + | 0.173963i | ||||
\(658\) | −659.720 | − | 265.631i | −1.00261 | − | 0.403694i | ||||
\(659\) | 530.090 | − | 422.733i | 0.804386 | − | 0.641476i | −0.132472 | − | 0.991187i | \(-0.542291\pi\) |
0.936858 | + | 0.349710i | \(0.113720\pi\) | |||||||
\(660\) | 664.588 | − | 436.209i | 1.00695 | − | 0.660923i | ||||
\(661\) | 101.183 | − | 443.311i | 0.153075 | − | 0.670666i | −0.838905 | − | 0.544277i | \(-0.816804\pi\) |
0.991981 | − | 0.126389i | \(-0.0403388\pi\) | |||||||
\(662\) | 295.460 | − | 269.357i | 0.446314 | − | 0.406883i | ||||
\(663\) | −303.210 | − | 629.623i | −0.457331 | − | 0.949658i | ||||
\(664\) | −685.611 | − | 352.718i | −1.03255 | − | 0.531201i | ||||
\(665\) | −353.161 | − | 1547.30i | −0.531069 | − | 2.32676i | ||||
\(666\) | −144.534 | + | 81.7628i | −0.217018 | + | 0.122767i | ||||
\(667\) | −313.193 | + | 729.524i | −0.469555 | + | 1.09374i | ||||
\(668\) | −507.033 | − | 304.733i | −0.759031 | − | 0.456187i | ||||
\(669\) | 116.459 | + | 510.239i | 0.174079 | + | 0.762689i | ||||
\(670\) | −1.11347 | − | 16.8419i | −0.00166190 | − | 0.0251371i | ||||
\(671\) | 290.048 | + | 602.290i | 0.432262 | + | 0.897601i | ||||
\(672\) | 130.265 | − | 364.641i | 0.193847 | − | 0.542621i | ||||
\(673\) | −118.786 | + | 520.436i | −0.176502 | + | 0.773307i | 0.806726 | + | 0.590926i | \(0.201238\pi\) |
−0.983228 | + | 0.182381i | \(0.941620\pi\) | |||||||
\(674\) | −126.134 | + | 8.33912i | −0.187142 | + | 0.0123726i | ||||
\(675\) | −73.7720 | + | 58.8312i | −0.109292 | + | 0.0871574i | ||||
\(676\) | 253.570 | − | 33.6759i | 0.375103 | − | 0.0498165i | ||||
\(677\) | 142.853 | − | 68.7945i | 0.211009 | − | 0.101617i | −0.325394 | − | 0.945579i | \(-0.605497\pi\) |
0.536403 | + | 0.843962i | \(0.319783\pi\) | |||||||
\(678\) | −118.108 | − | 18.8642i | −0.174201 | − | 0.0278233i | ||||
\(679\) | 570.936i | 0.840849i | ||||||||
\(680\) | −1063.03 | − | 894.550i | −1.56327 | − | 1.31552i | ||||
\(681\) | −70.1341 | + | 307.278i | −0.102987 | + | 0.451215i | ||||
\(682\) | −53.5219 | − | 179.083i | −0.0784778 | − | 0.262585i | ||||
\(683\) | 733.313 | + | 584.798i | 1.07367 | + | 0.856219i | 0.990111 | − | 0.140284i | \(-0.0448016\pi\) |
0.0835537 | + | 0.996503i | \(0.473373\pi\) | |||||||
\(684\) | 355.669 | + | 213.761i | 0.519984 | + | 0.312517i | ||||
\(685\) | −502.477 | + | 630.086i | −0.733543 | + | 0.919834i | ||||
\(686\) | 564.494 | + | 392.171i | 0.822877 | + | 0.571679i | ||||
\(687\) | −71.3002 | + | 56.8600i | −0.103785 | + | 0.0827657i | ||||
\(688\) | 358.472 | + | 155.432i | 0.521035 | + | 0.225919i | ||||
\(689\) | 812.520 | + | 391.289i | 1.17927 | + | 0.567908i | ||||
\(690\) | −178.403 | − | 596.930i | −0.258554 | − | 0.865116i | ||||
\(691\) | 865.333 | − | 197.507i | 1.25229 | − | 0.285827i | 0.455584 | − | 0.890193i | \(-0.349430\pi\) |
0.796707 | + | 0.604365i | \(0.206573\pi\) | |||||||
\(692\) | −124.100 | + | 1339.76i | −0.179335 | + | 1.93607i | ||||
\(693\) | 329.802 | + | 158.824i | 0.475905 | + | 0.229184i | ||||
\(694\) | 630.933 | − | 575.192i | 0.909125 | − | 0.828807i | ||||
\(695\) | − | 985.354i | − | 1.41778i | ||||||
\(696\) | 401.778 | − | 6.80446i | 0.577267 | − | 0.00977652i | ||||
\(697\) | 1169.35 | 1.67769 | ||||||||
\(698\) | −523.824 | − | 574.587i | −0.750464 | − | 0.823191i | ||||
\(699\) | 125.989 | − | 261.618i | 0.180241 | − | 0.374275i | ||||
\(700\) | 505.287 | + | 46.8039i | 0.721839 | + | 0.0668627i | ||||
\(701\) | −97.6833 | − | 427.979i | −0.139349 | − | 0.610526i | −0.995579 | − | 0.0939312i | \(-0.970057\pi\) |
0.856230 | − | 0.516595i | \(-0.172801\pi\) | |||||||
\(702\) | −151.972 | + | 45.4195i | −0.216485 | + | 0.0647001i | ||||
\(703\) | −415.251 | + | 862.277i | −0.590684 | + | 1.22657i | ||||
\(704\) | 909.430 | − | 649.942i | 1.29180 | − | 0.923213i | ||||
\(705\) | 361.115 | + | 452.824i | 0.512220 | + | 0.642303i | ||||
\(706\) | −476.911 | + | 686.468i | −0.675511 | + | 0.972334i | ||||
\(707\) | −634.995 | − | 506.391i | −0.898154 | − | 0.716254i | ||||
\(708\) | 105.074 | − | 174.828i | 0.148410 | − | 0.246933i | ||||
\(709\) | 456.880 | − | 572.909i | 0.644400 | − | 0.808052i | −0.347145 | − | 0.937811i | \(-0.612849\pi\) |
0.991546 | + | 0.129759i | \(0.0414203\pi\) | |||||||
\(710\) | 487.899 | − | 145.817i | 0.687182 | − | 0.205376i | ||||
\(711\) | 85.9999 | + | 19.6289i | 0.120956 | + | 0.0276075i | ||||
\(712\) | −918.350 | − | 772.802i | −1.28982 | − | 1.08540i | ||||
\(713\) | −146.484 | −0.205447 | ||||||||
\(714\) | 100.901 | − | 631.738i | 0.141318 | − | 0.884787i | ||||
\(715\) | 759.848 | + | 1577.84i | 1.06272 | + | 2.20677i | ||||
\(716\) | 83.0439 | + | 625.296i | 0.115983 | + | 0.873319i | ||||
\(717\) | 130.783 | + | 163.997i | 0.182403 | + | 0.228726i | ||||
\(718\) | −45.1203 | − | 682.469i | −0.0628417 | − | 0.950514i | ||||
\(719\) | 281.343 | + | 64.2148i | 0.391298 | + | 0.0893112i | 0.413643 | − | 0.910439i | \(-0.364256\pi\) |
−0.0223451 | + | 0.999750i | \(0.507113\pi\) | |||||||
\(720\) | −238.551 | + | 206.234i | −0.331320 | + | 0.286436i | ||||
\(721\) | −714.591 | + | 344.129i | −0.991110 | + | 0.477294i | ||||
\(722\) | 1665.95 | − | 110.142i | 2.30741 | − | 0.152551i | ||||
\(723\) | −452.432 | + | 103.265i | −0.625771 | + | 0.142828i | ||||
\(724\) | −443.597 | + | 738.083i | −0.612703 | + | 1.01945i | ||||
\(725\) | 139.288 | + | 507.862i | 0.192121 | + | 0.700500i | ||||
\(726\) | 313.923 | + | 554.930i | 0.432401 | + | 0.764367i | ||||
\(727\) | −427.255 | + | 97.5182i | −0.587696 | + | 0.134138i | −0.506021 | − | 0.862521i | \(-0.668884\pi\) |
−0.0816752 | + | 0.996659i | \(0.526027\pi\) | |||||||
\(728\) | 758.524 | + | 390.228i | 1.04193 | + | 0.536027i | ||||
\(729\) | 24.3262 | − | 11.7149i | 0.0333692 | − | 0.0160698i | ||||
\(730\) | −777.259 | − | 852.583i | −1.06474 | − | 1.16792i | ||||
\(731\) | 629.356 | + | 143.646i | 0.860953 | + | 0.196507i | ||||
\(732\) | −145.506 | − | 221.687i | −0.198779 | − | 0.302851i | ||||
\(733\) | 409.777 | + | 513.845i | 0.559042 | + | 0.701016i | 0.978380 | − | 0.206814i | \(-0.0663095\pi\) |
−0.419339 | + | 0.907830i | \(0.637738\pi\) | |||||||
\(734\) | −408.124 | + | 1013.62i | −0.556027 | + | 1.38095i | ||||
\(735\) | −0.957817 | − | 1.98893i | −0.00130315 | − | 0.00270602i | ||||
\(736\) | −283.947 | − | 828.747i | −0.385797 | − | 1.12601i | ||||
\(737\) | 22.4366 | 0.0304431 | ||||||||
\(738\) | 41.8605 | − | 262.087i | 0.0567216 | − | 0.355131i | ||||
\(739\) | −282.107 | − | 64.3890i | −0.381741 | − | 0.0871299i | 0.0273443 | − | 0.999626i | \(-0.491295\pi\) |
−0.409085 | + | 0.912496i | \(0.634152\pi\) | |||||||
\(740\) | −524.368 | − | 503.968i | −0.708605 | − | 0.681038i | ||||
\(741\) | −569.966 | + | 714.714i | −0.769184 | + | 0.964527i | ||||
\(742\) | 406.496 | + | 718.573i | 0.547838 | + | 0.968427i | ||||
\(743\) | 429.009 | + | 342.124i | 0.577401 | + | 0.460462i | 0.868126 | − | 0.496345i | \(-0.165325\pi\) |
−0.290724 | + | 0.956807i | \(0.593896\pi\) | |||||||
\(744\) | 30.3982 | + | 67.6242i | 0.0408578 | + | 0.0908928i | ||||
\(745\) | 930.461 | + | 1166.76i | 1.24894 | + | 1.56612i | ||||
\(746\) | 182.974 | + | 73.6729i | 0.245273 | + | 0.0987572i | ||||
\(747\) | −125.450 | + | 260.500i | −0.167938 | + | 0.348728i | ||||
\(748\) | 1279.74 | − | 1331.55i | 1.71089 | − | 1.78014i | ||||
\(749\) | −122.184 | − | 535.324i | −0.163130 | − | 0.714719i | ||||
\(750\) | 127.854 | + | 88.8242i | 0.170472 | + | 0.118432i | ||||
\(751\) | 493.410 | − | 1024.58i | 0.657003 | − | 1.36428i | −0.260080 | − | 0.965587i | \(-0.583749\pi\) |
0.917084 | − | 0.398695i | \(-0.130537\pi\) | |||||||
\(752\) | 532.624 | + | 616.086i | 0.708277 | + | 0.819264i | ||||
\(753\) | −721.987 | −0.958814 | ||||||||
\(754\) | −101.666 | + | 879.377i | −0.134836 | + | 1.16628i | ||||
\(755\) | 870.049i | 1.15238i | ||||||||
\(756\) | −137.980 | − | 45.2301i | −0.182513 | − | 0.0598282i | ||||
\(757\) | 677.380 | + | 326.209i | 0.894822 | + | 0.430923i | 0.824016 | − | 0.566567i | \(-0.191729\pi\) |
0.0708057 | + | 0.997490i | \(0.477443\pi\) | |||||||
\(758\) | 345.258 | + | 239.861i | 0.455485 | + | 0.316440i | ||||
\(759\) | 807.408 | − | 184.286i | 1.06378 | − | 0.242801i | ||||
\(760\) | −450.952 | + | 1760.58i | −0.593357 | + | 2.31656i | ||||
\(761\) | 769.810 | + | 370.721i | 1.01158 | + | 0.487150i | 0.864852 | − | 0.502027i | \(-0.167412\pi\) |
0.146726 | + | 0.989177i | \(0.453127\pi\) | |||||||
\(762\) | −112.226 | − | 45.1868i | −0.147278 | − | 0.0593003i | ||||
\(763\) | 503.018 | − | 401.143i | 0.659263 | − | 0.525745i | ||||
\(764\) | −37.8422 | − | 3.50526i | −0.0495317 | − | 0.00458804i | ||||
\(765\) | −324.838 | + | 407.334i | −0.424625 | + | 0.532463i | ||||
\(766\) | −224.736 | − | 397.272i | −0.293389 | − | 0.518631i | ||||
\(767\) | 351.316 | + | 280.165i | 0.458039 | + | 0.365274i | ||||
\(768\) | −323.666 | + | 303.065i | −0.421441 | + | 0.394615i | ||||
\(769\) | 90.7899 | − | 397.777i | 0.118062 | − | 0.517265i | −0.880966 | − | 0.473180i | \(-0.843106\pi\) |
0.999028 | − | 0.0440843i | \(-0.0140370\pi\) | |||||||
\(770\) | −252.859 | + | 1583.14i | −0.328388 | + | 2.05603i | ||||
\(771\) | 343.896i | 0.446039i | ||||||||
\(772\) | −393.165 | − | 1055.94i | −0.509282 | − | 1.36780i | ||||
\(773\) | −539.210 | + | 259.670i | −0.697555 | + | 0.335925i | −0.748832 | − | 0.662760i | \(-0.769385\pi\) |
0.0512771 | + | 0.998684i | \(0.483671\pi\) | |||||||
\(774\) | 54.7254 | − | 135.916i | 0.0707046 | − | 0.175602i | ||||
\(775\) | −75.9671 | + | 60.5817i | −0.0980221 | + | 0.0781700i | ||||
\(776\) | 299.090 | − | 581.371i | 0.385426 | − | 0.749189i | ||||
\(777\) | 74.5207 | − | 326.496i | 0.0959082 | − | 0.420201i | ||||
\(778\) | −496.822 | − | 544.968i | −0.638588 | − | 0.700474i | ||||
\(779\) | −663.691 | − | 1378.17i | −0.851978 | − | 1.76915i | ||||
\(780\) | −381.188 | − | 580.760i | −0.488703 | − | 0.744565i | ||||
\(781\) | 150.625 | + | 659.933i | 0.192862 | + | 0.844985i | ||||
\(782\) | −712.656 | − | 1259.78i | −0.911324 | − | 1.61097i | ||||
\(783\) | −6.52001 | − | 150.547i | −0.00832697 | − | 0.192270i | ||||
\(784\) | −1.45666 | − | 2.74106i | −0.00185799 | − | 0.00349625i | ||||
\(785\) | 145.047 | + | 635.492i | 0.184773 | + | 0.809544i | ||||
\(786\) | −527.433 | + | 34.8704i | −0.671034 | + | 0.0443644i | ||||
\(787\) | −9.52663 | − | 19.7823i | −0.0121050 | − | 0.0251363i | 0.894829 | − | 0.446410i | \(-0.147298\pi\) |
−0.906934 | + | 0.421273i | \(0.861583\pi\) | |||||||
\(788\) | −1126.26 | − | 369.190i | −1.42926 | − | 0.468515i | ||||
\(789\) | 137.818 | − | 603.821i | 0.174674 | − | 0.765299i | ||||
\(790\) | 25.4867 | + | 385.499i | 0.0322616 | + | 0.487974i | ||||
\(791\) | 188.586 | − | 150.392i | 0.238415 | − | 0.190129i | ||||
\(792\) | −252.628 | − | 334.497i | −0.318975 | − | 0.422345i | ||||
\(793\) | 526.321 | − | 253.463i | 0.663708 | − | 0.319625i | ||||
\(794\) | −82.4412 | + | 516.161i | −0.103830 | + | 0.650077i | ||||
\(795\) | − | 672.343i | − | 0.845715i | ||||||
\(796\) | −1116.59 | + | 415.749i | −1.40275 | + | 0.522298i | ||||
\(797\) | −206.462 | + | 904.571i | −0.259049 | + | 1.13497i | 0.663221 | + | 0.748424i | \(0.269189\pi\) |
−0.922270 | + | 0.386546i | \(0.873668\pi\) | |||||||
\(798\) | −801.821 | + | 239.638i | −1.00479 | + | 0.300298i | ||||
\(799\) | 1051.99 | + | 838.934i | 1.31663 | + | 1.04998i | ||||
\(800\) | −490.003 | − | 312.359i | −0.612504 | − | 0.390448i | ||||
\(801\) | −280.628 | + | 351.896i | −0.350347 | + | 0.439321i | ||||
\(802\) | 882.647 | − | 1270.49i | 1.10056 | − | 1.58415i | ||||
\(803\) | 1199.02 | − | 956.186i | 1.49318 | − | 1.19077i | ||||
\(804\) | −8.82256 | + | 1.17170i | −0.0109733 | + | 0.00145734i | ||||
\(805\) | 1132.03 | + | 545.156i | 1.40625 | + | 0.677212i | ||||
\(806\) | −156.494 | + | 46.7709i | −0.194161 | + | 0.0580284i | ||||
\(807\) | 150.031 | − | 34.2436i | 0.185912 | − | 0.0424332i | ||||
\(808\) | 381.322 | + | 848.294i | 0.471933 | + | 1.04987i | ||||
\(809\) | −184.391 | − | 88.7981i | −0.227925 | − | 0.109763i | 0.316436 | − | 0.948614i | \(-0.397514\pi\) |
−0.544361 | + | 0.838851i | \(0.683228\pi\) | |||||||
\(810\) | 79.6675 | + | 87.3880i | 0.0983550 | + | 0.107886i | ||||
\(811\) | − | 1557.17i | − | 1.92006i | −0.279904 | − | 0.960028i | \(-0.590303\pi\) | ||
0.279904 | − | 0.960028i | \(-0.409697\pi\) | |||||||
\(812\) | −535.748 | + | 608.036i | −0.659788 | + | 0.748813i | ||||
\(813\) | −234.115 | −0.287965 | ||||||||
\(814\) | 714.443 | − | 651.324i | 0.877694 | − | 0.800152i | ||||
\(815\) | −459.015 | + | 953.154i | −0.563208 | + | 1.16951i | ||||
\(816\) | −433.687 | + | 590.425i | −0.531479 | + | 0.723560i | ||||
\(817\) | −187.907 | − | 823.275i | −0.229997 | − | 1.00768i | ||||
\(818\) | −8.82242 | − | 29.5196i | −0.0107854 | − | 0.0360875i | ||||
\(819\) | 138.791 | − | 288.203i | 0.169464 | − | 0.351896i | ||||
\(820\) | 1152.30 | − | 153.033i | 1.40524 | − | 0.186626i | ||||
\(821\) | −377.307 | − | 473.128i | −0.459570 | − | 0.576283i | 0.497012 | − | 0.867743i | \(-0.334430\pi\) |
−0.956583 | + | 0.291460i | \(0.905859\pi\) | |||||||
\(822\) | 348.997 | + | 242.459i | 0.424570 | + | 0.294962i | ||||
\(823\) | −202.539 | − | 161.519i | −0.246098 | − | 0.196257i | 0.492670 | − | 0.870216i | \(-0.336021\pi\) |
−0.738769 | + | 0.673959i | \(0.764592\pi\) | |||||||
\(824\) | 907.925 | + | 23.9271i | 1.10185 | + | 0.0290377i | ||||
\(825\) | 342.510 | − | 429.493i | 0.415163 | − | 0.520598i | ||||
\(826\) | 117.793 | + | 394.133i | 0.142607 | + | 0.477159i | ||||
\(827\) | −214.752 | − | 49.0157i | −0.259676 | − | 0.0592693i | 0.0907009 | − | 0.995878i | \(-0.471089\pi\) |
−0.350377 | + | 0.936609i | \(0.613946\pi\) | |||||||
\(828\) | −307.867 | + | 114.630i | −0.371820 | + | 0.138442i | ||||
\(829\) | 702.434 | 0.847327 | 0.423663 | − | 0.905820i | \(-0.360744\pi\) | ||||
0.423663 | + | 0.905820i | \(0.360744\pi\) | |||||||
\(830\) | −1250.47 | − | 199.725i | −1.50659 | − | 0.240632i | ||||
\(831\) | 103.709 | + | 215.355i | 0.124801 | + | 0.259151i | ||||
\(832\) | −567.962 | − | 794.719i | −0.682646 | − | 0.955192i | ||||
\(833\) | −3.19758 | − | 4.00963i | −0.00383863 | − | 0.00481349i | ||||
\(834\) | −518.441 | + | 34.2759i | −0.621632 | + | 0.0410982i | ||||
\(835\) | −947.216 | − | 216.196i | −1.13439 | − | 0.258917i | ||||
\(836\) | −2295.68 | − | 752.529i | −2.74603 | − | 0.900154i | ||||
\(837\) | 25.0500 | − | 12.0634i | 0.0299283 | − | 0.0144127i | ||||
\(838\) | 31.4409 | + | 475.561i | 0.0375190 | + | 0.567495i | ||||
\(839\) | −1510.12 | + | 344.674i | −1.79990 | + | 0.410815i | −0.985526 | − | 0.169525i | \(-0.945777\pi\) |
−0.814374 | + | 0.580340i | \(0.802920\pi\) | |||||||
\(840\) | 16.7538 | − | 635.731i | 0.0199449 | − | 0.756822i | ||||
\(841\) | −786.425 | − | 298.021i | −0.935107 | − | 0.354366i | ||||
\(842\) | 766.439 | − | 433.574i | 0.910260 | − | 0.514933i | ||||
\(843\) | 587.233 | − | 134.032i | 0.696599 | − | 0.158994i | ||||
\(844\) | −80.7341 | − | 123.003i | −0.0956565 | − | 0.145738i | ||||
\(845\) | 378.513 | − | 182.282i | 0.447944 | − | 0.215719i | ||||
\(846\) | 225.690 | − | 205.751i | 0.266773 | − | 0.243205i | ||||
\(847\) | −1253.56 | − | 286.118i | −1.48000 | − | 0.337801i | ||||
\(848\) | −37.4939 | − | 944.652i | −0.0442145 | − | 1.11398i | ||||
\(849\) | 6.86013 | + | 8.60233i | 0.00808025 | + | 0.0101323i | ||||
\(850\) | −890.596 | − | 358.591i | −1.04776 | − | 0.421872i | ||||
\(851\) | −328.743 | − | 682.641i | −0.386302 | − | 0.802164i | ||||
\(852\) | −93.6928 | − | 251.634i | −0.109968 | − | 0.295345i | ||||
\(853\) | 859.461 | 1.00757 | 0.503787 | − | 0.863828i | \(-0.331940\pi\) | ||||
0.503787 | + | 0.863828i | \(0.331940\pi\) | |||||||
\(854\) | 528.088 | + | 84.3462i | 0.618371 | + | 0.0987661i | ||||
\(855\) | 664.444 | + | 151.655i | 0.777128 | + | 0.177374i | ||||
\(856\) | −156.017 | + | 609.115i | −0.182263 | + | 0.711583i | ||||
\(857\) | 784.169 | − | 983.316i | 0.915016 | − | 1.14739i | −0.0736536 | − | 0.997284i | \(-0.523466\pi\) |
0.988669 | − | 0.150110i | \(-0.0479627\pi\) | |||||||
\(858\) | 803.744 | − | 454.677i | 0.936764 | − | 0.529927i | ||||
\(859\) | −336.664 | − | 268.480i | −0.391925 | − | 0.312550i | 0.407625 | − | 0.913149i | \(-0.366357\pi\) |
−0.799550 | + | 0.600600i | \(0.794929\pi\) | |||||||
\(860\) | 638.978 | + | 59.1875i | 0.742998 | + | 0.0688226i | ||||
\(861\) | 333.727 | + | 418.480i | 0.387604 | + | 0.486039i | ||||
\(862\) | 245.566 | − | 609.887i | 0.284879 | − | 0.707526i | ||||
\(863\) | 551.427 | − | 1145.05i | 0.638966 | − | 1.32683i | −0.290130 | − | 0.956987i | \(-0.593699\pi\) |
0.929096 | − | 0.369839i | \(-0.120587\pi\) | |||||||
\(864\) | 116.807 | + | 118.339i | 0.135194 | + | 0.136966i | ||||
\(865\) | 491.734 | + | 2154.43i | 0.568478 | + | 2.49067i | ||||
\(866\) | −102.030 | + | 146.862i | −0.117817 | + | 0.169587i | ||||
\(867\) | −307.976 | + | 639.519i | −0.355220 | + | 0.737623i | ||||
\(868\) | −142.085 | − | 46.5759i | −0.163693 | − | 0.0536588i | ||||
\(869\) | −513.559 | −0.590977 | ||||||||
\(870\) | 623.566 | − | 216.167i | 0.716742 | − | 0.248468i | ||||
\(871\) | − | 19.6066i | − | 0.0225104i | ||||||
\(872\) | −722.353 | + | 144.964i | −0.828387 | + | 0.166243i | ||||
\(873\) | −220.893 | − | 106.376i | −0.253028 | − | 0.121852i | ||||
\(874\) | −1080.26 | + | 1554.94i | −1.23600 | + | 1.77910i | ||||
\(875\) | −306.092 | + | 69.8636i | −0.349820 | + | 0.0798441i | ||||
\(876\) | −421.546 | + | 438.610i | −0.481217 | + | 0.500696i | ||||
\(877\) | 1030.28 | + | 496.154i | 1.17477 | + | 0.565741i | 0.916384 | − | 0.400301i | \(-0.131094\pi\) |
0.258388 | + | 0.966041i | \(0.416809\pi\) | |||||||
\(878\) | −204.928 | + | 508.959i | −0.233403 | + | 0.579680i | ||||
\(879\) | 37.3125 | − | 29.7557i | 0.0424488 | − | 0.0338518i | ||||
\(880\) | 1086.82 | − | 1479.61i | 1.23503 | − | 1.68138i | ||||
\(881\) | −849.439 | + | 1065.16i | −0.964176 | + | 1.20904i | 0.0137109 | + | 0.999906i | \(0.495636\pi\) |
−0.977887 | + | 0.209133i | \(0.932936\pi\) | |||||||
\(882\) | −1.01315 | + | 0.573138i | −0.00114870 | + | 0.000649816i | ||||
\(883\) | 569.109 | + | 453.849i | 0.644517 | + | 0.513985i | 0.890320 | − | 0.455334i | \(-0.150480\pi\) |
−0.245803 | + | 0.969320i | \(0.579052\pi\) | |||||||
\(884\) | −1163.59 | − | 1118.32i | −1.31628 | − | 1.26507i | ||||
\(885\) | 74.5457 | − | 326.606i | 0.0842324 | − | 0.369046i | ||||
\(886\) | −60.4051 | − | 9.64789i | −0.0681773 | − | 0.0108893i | ||||
\(887\) | 1065.42i | 1.20115i | 0.799569 | + | 0.600574i | \(0.205061\pi\) | ||||
−0.799569 | + | 0.600574i | \(0.794939\pi\) | |||||||
\(888\) | −246.921 | + | 293.425i | −0.278064 | + | 0.330434i | ||||
\(889\) | 219.824 | − | 105.861i | 0.247271 | − | 0.119079i | ||||
\(890\) | −1828.61 | − | 736.275i | −2.05462 | − | 0.827275i | ||||
\(891\) | −122.897 | + | 98.0072i | −0.137932 | + | 0.109997i | ||||
\(892\) | 663.212 | + | 1010.44i | 0.743511 | + | 1.13278i | ||||
\(893\) | 391.668 | − | 1716.01i | 0.438598 | − | 1.92162i | ||||
\(894\) | 581.521 | − | 530.145i | 0.650471 | − | 0.593004i | ||||
\(895\) | 449.503 | + | 933.402i | 0.502238 | + | 1.04291i | ||||
\(896\) | −11.9129 | − | 894.145i | −0.0132957 | − | 0.997930i | ||||
\(897\) | −161.041 | − | 705.566i | −0.179533 | − | 0.786584i | ||||
\(898\) | −12.2303 | + | 6.91865i | −0.0136195 | + | 0.00770451i | ||||
\(899\) | −6.71401 | − | 155.027i | −0.00746831 | − | 0.172444i | ||||
\(900\) | −112.253 | + | 186.773i | −0.124726 | + | 0.207526i | ||||
\(901\) | −347.572 | − | 1522.81i | −0.385762 | − | 1.69013i | ||||
\(902\) | 101.935 | + | 1541.82i | 0.113010 | + | 1.70933i | ||||
\(903\) | 128.208 | + | 266.227i | 0.141980 | + | 0.294825i | ||||
\(904\) | −270.817 | + | 54.3483i | −0.299576 | + | 0.0601198i | ||||
\(905\) | −314.714 | + | 1378.85i | −0.347750 | + | 1.52359i | ||||
\(906\) | 457.773 | − | 30.2650i | 0.505269 | − | 0.0334050i | ||||
\(907\) | 98.1386 | − | 78.2629i | 0.108201 | − | 0.0862877i | −0.567895 | − | 0.823101i | \(-0.692242\pi\) |
0.676096 | + | 0.736814i | \(0.263670\pi\) | |||||||
\(908\) | 95.8260 | + | 721.542i | 0.105535 | + | 0.794649i | ||||
\(909\) | 314.233 | − | 151.326i | 0.345690 | − | 0.166476i | ||||
\(910\) | 1383.45 | + | 220.965i | 1.52028 | + | 0.242818i | ||||
\(911\) | − | 527.032i | − | 0.578520i | −0.957251 | − | 0.289260i | \(-0.906591\pi\) | ||
0.957251 | − | 0.289260i | \(-0.0934092\pi\) | |||||||
\(912\) | 942.011 | + | 176.024i | 1.03291 | + | 0.193009i | ||||
\(913\) | 374.570 | − | 1641.10i | 0.410263 | − | 1.79748i | ||||
\(914\) | −59.4647 | − | 198.967i | −0.0650598 | − | 0.217688i | ||||
\(915\) | −340.503 | − | 271.542i | −0.372134 | − | 0.296767i | ||||
\(916\) | −108.492 | + | 180.515i | −0.118441 | + | 0.197069i | ||||
\(917\) | 664.645 | − | 833.438i | 0.724804 | − | 0.908875i | ||||
\(918\) | 225.617 | + | 156.743i | 0.245770 | + | 0.170744i | ||||
\(919\) | 590.072 | − | 470.567i | 0.642081 | − | 0.512043i | −0.247460 | − | 0.968898i | \(-0.579596\pi\) |
0.889541 | + | 0.456856i | \(0.151024\pi\) | |||||||
\(920\) | −867.132 | − | 1148.14i | −0.942534 | − | 1.24798i | ||||
\(921\) | 47.7343 | + | 22.9876i | 0.0518288 | + | 0.0249594i | ||||
\(922\) | 103.997 | + | 347.970i | 0.112795 | + | 0.377408i | ||||
\(923\) | 576.693 | − | 131.626i | 0.624802 | − | 0.142607i | ||||
\(924\) | 841.759 | + | 77.9708i | 0.910995 | + | 0.0843840i | ||||
\(925\) | −452.809 | − | 218.061i | −0.489524 | − | 0.235742i | ||||
\(926\) | 484.982 | − | 442.135i | 0.523739 | − | 0.477468i | ||||
\(927\) | − | 340.590i | − | 0.367411i | ||||||
\(928\) | 864.065 | − | 338.492i | 0.931104 | − | 0.364754i | ||||
\(929\) | 276.259 | 0.297372 | 0.148686 | − | 0.988884i | \(-0.452496\pi\) | ||||
0.148686 | + | 0.988884i | \(0.452496\pi\) | |||||||
\(930\) | 82.0380 | + | 89.9882i | 0.0882129 | + | 0.0967615i | ||||
\(931\) | −2.91081 | + | 6.04435i | −0.00312654 | + | 0.00649232i | ||||
\(932\) | 61.8509 | − | 667.732i | 0.0663636 | − | 0.716450i | ||||
\(933\) | 25.4757 | + | 111.616i | 0.0273052 | + | 0.119632i | ||||
\(934\) | 545.257 | − | 162.959i | 0.583787 | − | 0.174475i | ||||
\(935\) | 1316.06 | − | 2732.83i | 1.40755 | − | 2.92281i | ||||
\(936\) | −292.305 | + | 220.763i | −0.312292 | + | 0.235858i | ||||
\(937\) | 252.358 | + | 316.447i | 0.269325 | + | 0.337723i | 0.898041 | − | 0.439912i | \(-0.144990\pi\) |
−0.628716 | + | 0.777635i | \(0.716419\pi\) | |||||||
\(938\) | 10.2408 | − | 14.7407i | 0.0109177 | − | 0.0157150i | ||||
\(939\) | 281.480 | + | 224.473i | 0.299765 | + | 0.239055i | ||||
\(940\) | 1146.44 | + | 689.026i | 1.21962 | + | 0.733006i | ||||
\(941\) | 345.029 | − | 432.652i | 0.366662 | − | 0.459779i | −0.563938 | − | 0.825817i | \(-0.690714\pi\) |
0.930600 | + | 0.366038i | \(0.119286\pi\) | |||||||
\(942\) | 329.316 | − | 98.4218i | 0.349593 | − | 0.104482i | ||||
\(943\) | 1180.62 | + | 269.469i | 1.25199 | + | 0.285757i | ||||
\(944\) | 86.5243 | − | 463.043i | 0.0916571 | − | 0.490512i | ||||
\(945\) | −238.482 | −0.252362 | ||||||||
\(946\) | −134.539 | + | 842.346i | −0.142219 | + | 0.890429i | ||||
\(947\) | 11.3433 | + | 23.5545i | 0.0119781 | + | 0.0248728i | 0.906872 | − | 0.421406i | \(-0.138463\pi\) |
−0.894894 | + | 0.446279i | \(0.852749\pi\) | |||||||
\(948\) | 201.943 | − | 26.8195i | 0.213020 | − | 0.0282906i | ||||
\(949\) | −835.578 | − | 1047.78i | −0.880483 | − | 1.10409i | ||||
\(950\) | 82.8509 | + | 1253.16i | 0.0872115 | + | 1.31912i | ||||
\(951\) | −134.333 | − | 30.6605i | −0.141254 | − | 0.0322403i | ||||
\(952\) | −290.698 | − | 1448.55i | −0.305355 | − | 1.52158i | ||||
\(953\) | 616.195 | − | 296.744i | 0.646585 | − | 0.311379i | −0.0816964 | − | 0.996657i | \(-0.526034\pi\) |
0.728281 | + | 0.685278i | \(0.240319\pi\) | |||||||
\(954\) | −353.751 | + | 23.3877i | −0.370808 | + | 0.0245154i | ||||
\(955\) | −60.8529 | + | 13.8893i | −0.0637203 | + | 0.0145437i | ||||
\(956\) | 415.200 | + | 249.540i | 0.434310 | + | 0.261026i | ||||
\(957\) | 232.040 | + | 846.050i | 0.242466 | + | 0.884064i | ||||
\(958\) | −339.320 | − | 599.824i | −0.354196 | − | 0.626121i | ||||
\(959\) | −835.525 | + | 190.703i | −0.871246 | + | 0.198856i | ||||
\(960\) | −350.093 | + | 638.573i | −0.364681 | + | 0.665180i | ||||
\(961\) | −840.036 | + | 404.540i | −0.874127 | + | 0.420957i | ||||
\(962\) | −569.169 | − | 624.327i | −0.591652 | − | 0.648988i | ||||
\(963\) | 229.880 | + | 52.4687i | 0.238713 | + | 0.0544846i | ||||
\(964\) | −895.962 | + | 588.074i | −0.929421 | + | 0.610036i | ||||
\(965\) | −1153.82 | − | 1446.84i | −1.19567 | − | 1.49932i | ||||
\(966\) | 247.454 | − | 614.576i | 0.256164 | − | 0.636207i | ||||
\(967\) | −309.480 | − | 642.641i | −0.320041 | − | 0.664572i | 0.677435 | − | 0.735583i | \(-0.263092\pi\) |
−0.997476 | + | 0.0710113i | \(0.977377\pi\) | |||||||
\(968\) | 1126.59 | + | 948.038i | 1.16383 | + | 0.979378i | ||||
\(969\) | 1583.32 | 1.63397 | ||||||||
\(970\) | 169.358 | − | 1060.35i | 0.174596 | − | 1.09314i | ||||
\(971\) | −1283.11 | − | 292.862i | −1.32143 | − | 0.301608i | −0.497089 | − | 0.867699i | \(-0.665598\pi\) |
−0.824343 | + | 0.566091i | \(0.808455\pi\) | |||||||
\(972\) | 43.2077 | − | 44.9566i | 0.0444523 | − | 0.0462517i | ||||
\(973\) | 653.314 | − | 819.229i | 0.671443 | − | 0.841962i | ||||
\(974\) | 500.072 | + | 883.990i | 0.513421 | + | 0.907587i | ||||
\(975\) | −375.319 | − | 299.307i | −0.384943 | − | 0.306982i | ||||
\(976\) | −493.554 | − | 362.532i | −0.505691 | − | 0.371447i | ||||
\(977\) | 629.637 | + | 789.540i | 0.644459 | + | 0.808127i | 0.991553 | − | 0.129704i | \(-0.0414027\pi\) |
−0.347093 | + | 0.937831i | \(0.612831\pi\) | |||||||
\(978\) | 517.466 | + | 208.353i | 0.529106 | + | 0.213040i | ||||
\(979\) | 1136.94 | − | 2360.89i | 1.16133 | − | 2.41153i | ||||
\(980\) | −3.67569 | − | 3.53269i | −0.00375071 | − | 0.00360479i | ||||
\(981\) | 61.4788 | + | 269.356i | 0.0626696 | + | 0.274573i | ||||
\(982\) | −315.420 | − | 219.132i | −0.321201 | − | 0.223149i | ||||
\(983\) | 576.755 | − | 1197.64i | 0.586729 | − | 1.21836i | −0.370448 | − | 0.928853i | \(-0.620796\pi\) |
0.957177 | − | 0.289502i | \(-0.0934898\pi\) | |||||||
\(984\) | −120.601 | − | 600.954i | −0.122562 | − | 0.610725i | ||||
\(985\) | −1946.60 | −1.97625 | ||||||||
\(986\) | 1300.58 | − | 811.959i | 1.31905 | − | 0.823488i | ||||
\(987\) | 615.908i | 0.624021i | ||||||||
\(988\) | −657.609 | + | 2006.11i | −0.665596 | + | 2.03048i | ||||
\(989\) | 602.321 | + | 290.063i | 0.609021 | + | 0.293289i | ||||
\(990\) | −565.398 | − | 392.800i | −0.571109 | − | 0.396767i | ||||
\(991\) | 755.530 | − | 172.445i | 0.762391 | − | 0.174011i | 0.176389 | − | 0.984320i | \(-0.443558\pi\) |
0.586002 | + | 0.810310i | \(0.300701\pi\) | |||||||
\(992\) | 120.283 | + | 121.860i | 0.121253 | + | 0.122843i | ||||
\(993\) | −311.958 | − | 150.231i | −0.314157 | − | 0.151290i | ||||
\(994\) | 502.322 | + | 202.256i | 0.505354 | + | 0.203477i | ||||
\(995\) | −1529.95 | + | 1220.09i | −1.53764 | + | 1.22622i | ||||
\(996\) | −61.5865 | + | 664.877i | −0.0618338 | + | 0.667547i | ||||
\(997\) | 489.406 | − | 613.696i | 0.490879 | − | 0.615543i | −0.473266 | − | 0.880920i | \(-0.656925\pi\) |
0.964145 | + | 0.265377i | \(0.0854964\pi\) | |||||||
\(998\) | 244.048 | + | 431.410i | 0.244537 | + | 0.432275i | ||||
\(999\) | 112.436 | + | 89.6644i | 0.112548 | + | 0.0897542i |
(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 | 348.3.p.a.7.18 | ✓ | 360 | |
4.3 | odd | 2 | inner | 348.3.p.a.7.35 | yes | 360 | |
29.25 | even | 7 | inner | 348.3.p.a.199.35 | yes | 360 | |
116.83 | odd | 14 | inner | 348.3.p.a.199.18 | yes | 360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
348.3.p.a.7.18 | ✓ | 360 | 1.1 | even | 1 | trivial | |
348.3.p.a.7.35 | yes | 360 | 4.3 | odd | 2 | inner | |
348.3.p.a.199.18 | yes | 360 | 116.83 | odd | 14 | inner | |
348.3.p.a.199.35 | yes | 360 | 29.25 | even | 7 | inner |